diff --git a/CHANGELOG b/CHANGELOG
--- a/CHANGELOG
+++ b/CHANGELOG
@@ -1,5 +1,16 @@
 # Changelog
 
+- 0.1.5 (2026-01-08)
+  * We now check if the ARM cryptographic extensions are available, and,
+    if so, use them to calculate hashes. If they're unavailable we
+    simply use the pure implementation as a fallback. This yields about
+    a 5x performance boost for 'hash' and 3.5x boost for 'hmac' (again,
+    when available).
+
+  * Allocation for both the 'hash' and 'hmac' functions has been reduced
+    dramatically, mostly by optimising the padding internals, and is now
+    constant with respect to input.
+
 - 0.1.4 (2025-12-28)
   * Adds an 'llvm' build flag and tests with GHC 9.10.3.
 
diff --git a/bench/Weight.hs b/bench/Weight.hs
new file mode 100644
--- /dev/null
+++ b/bench/Weight.hs
@@ -0,0 +1,41 @@
+{-# OPTIONS_GHC -fno-warn-incomplete-uni-patterns -fno-warn-type-defaults #-}
+{-# LANGUAGE BangPatterns #-}
+{-# LANGUAGE OverloadedStrings #-}
+
+module Main where
+
+import qualified Crypto.Hash.SHA512 as SHA512
+import qualified Data.ByteString as BS
+import Weigh
+
+-- note that 'weigh' doesn't work properly in a repl
+main :: IO ()
+main = mainWith $ do
+  hash
+  hmac
+
+hash :: Weigh ()
+hash =
+  let !bs0 = BS.replicate 32 0
+      !bs1 = BS.replicate 64 0
+      !bs2 = BS.replicate 128 0
+      !bs3 = BS.replicate 12288 0
+  in  wgroup "hash" $ do
+        func' "hash (32B  input)" SHA512.hash bs0
+        func' "hash (64B  input)" SHA512.hash bs1
+        func' "hash (128B input)" SHA512.hash bs2
+        func' "hash (12288B input)" SHA512.hash bs3
+
+hmac :: Weigh ()
+hmac =
+  let !key = BS.replicate 32 9
+      !bs0 = BS.replicate 32 0
+      !bs1 = BS.replicate 64 0
+      !bs2 = BS.replicate 128 0
+      !bs3 = BS.replicate 12288 0
+  in  wgroup "hmac" $ do
+        func' "hmac (32B  input)" (SHA512.hmac key) bs0
+        func' "hmac (64B  input)" (SHA512.hmac key) bs1
+        func' "hmac (128B input)" (SHA512.hmac key) bs2
+        func' "hmac (12288B input)" (SHA512.hmac key) bs3
+
diff --git a/cbits/sha512_arm.c b/cbits/sha512_arm.c
new file mode 100644
--- /dev/null
+++ b/cbits/sha512_arm.c
@@ -0,0 +1,467 @@
+#include <stdint.h>
+#include <string.h>
+
+#if defined(__aarch64__) && defined(__ARM_FEATURE_SHA512)
+
+#include <arm_neon.h>
+
+static const uint64_t K[80] = {
+    0x428a2f98d728ae22ULL, 0x7137449123ef65cdULL,
+    0xb5c0fbcfec4d3b2fULL, 0xe9b5dba58189dbbcULL,
+    0x3956c25bf348b538ULL, 0x59f111f1b605d019ULL,
+    0x923f82a4af194f9bULL, 0xab1c5ed5da6d8118ULL,
+    0xd807aa98a3030242ULL, 0x12835b0145706fbeULL,
+    0x243185be4ee4b28cULL, 0x550c7dc3d5ffb4e2ULL,
+    0x72be5d74f27b896fULL, 0x80deb1fe3b1696b1ULL,
+    0x9bdc06a725c71235ULL, 0xc19bf174cf692694ULL,
+    0xe49b69c19ef14ad2ULL, 0xefbe4786384f25e3ULL,
+    0x0fc19dc68b8cd5b5ULL, 0x240ca1cc77ac9c65ULL,
+    0x2de92c6f592b0275ULL, 0x4a7484aa6ea6e483ULL,
+    0x5cb0a9dcbd41fbd4ULL, 0x76f988da831153b5ULL,
+    0x983e5152ee66dfabULL, 0xa831c66d2db43210ULL,
+    0xb00327c898fb213fULL, 0xbf597fc7beef0ee4ULL,
+    0xc6e00bf33da88fc2ULL, 0xd5a79147930aa725ULL,
+    0x06ca6351e003826fULL, 0x142929670a0e6e70ULL,
+    0x27b70a8546d22ffcULL, 0x2e1b21385c26c926ULL,
+    0x4d2c6dfc5ac42aedULL, 0x53380d139d95b3dfULL,
+    0x650a73548baf63deULL, 0x766a0abb3c77b2a8ULL,
+    0x81c2c92e47edaee6ULL, 0x92722c851482353bULL,
+    0xa2bfe8a14cf10364ULL, 0xa81a664bbc423001ULL,
+    0xc24b8b70d0f89791ULL, 0xc76c51a30654be30ULL,
+    0xd192e819d6ef5218ULL, 0xd69906245565a910ULL,
+    0xf40e35855771202aULL, 0x106aa07032bbd1b8ULL,
+    0x19a4c116b8d2d0c8ULL, 0x1e376c085141ab53ULL,
+    0x2748774cdf8eeb99ULL, 0x34b0bcb5e19b48a8ULL,
+    0x391c0cb3c5c95a63ULL, 0x4ed8aa4ae3418acbULL,
+    0x5b9cca4f7763e373ULL, 0x682e6ff3d6b2b8a3ULL,
+    0x748f82ee5defb2fcULL, 0x78a5636f43172f60ULL,
+    0x84c87814a1f0ab72ULL, 0x8cc702081a6439ecULL,
+    0x90befffa23631e28ULL, 0xa4506cebde82bde9ULL,
+    0xbef9a3f7b2c67915ULL, 0xc67178f2e372532bULL,
+    0xca273eceea26619cULL, 0xd186b8c721c0c207ULL,
+    0xeada7dd6cde0eb1eULL, 0xf57d4f7fee6ed178ULL,
+    0x06f067aa72176fbaULL, 0x0a637dc5a2c898a6ULL,
+    0x113f9804bef90daeULL, 0x1b710b35131c471bULL,
+    0x28db77f523047d84ULL, 0x32caab7b40c72493ULL,
+    0x3c9ebe0a15c9bebcULL, 0x431d67c49c100d4cULL,
+    0x4cc5d4becb3e42b6ULL, 0x597f299cfc657e2aULL,
+    0x5fcb6fab3ad6faecULL, 0x6c44198c4a475817ULL
+};
+
+/*
+ * Process one 128-byte block using ARM SHA512 crypto instructions.
+ *
+ * state: pointer to 8 uint64_t words (a,b,c,d,e,f,g,h)
+ * block: pointer to 128 bytes of message data
+ *
+ * The state is updated in place.
+ */
+void sha512_block_arm(uint64_t *state, const uint8_t *block) {
+    /* Load current hash state */
+    uint64x2_t ab = vld1q_u64(&state[0]);
+    uint64x2_t cd = vld1q_u64(&state[2]);
+    uint64x2_t ef = vld1q_u64(&state[4]);
+    uint64x2_t gh = vld1q_u64(&state[6]);
+
+    /* Save original for final addition */
+    uint64x2_t ab_orig = ab;
+    uint64x2_t cd_orig = cd;
+    uint64x2_t ef_orig = ef;
+    uint64x2_t gh_orig = gh;
+
+    /* Load message and convert from big-endian */
+    uint64x2_t m0 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[0])));
+    uint64x2_t m1 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[16])));
+    uint64x2_t m2 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[32])));
+    uint64x2_t m3 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[48])));
+    uint64x2_t m4 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[64])));
+    uint64x2_t m5 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[80])));
+    uint64x2_t m6 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[96])));
+    uint64x2_t m7 = vreinterpretq_u64_u8(vrev64q_u8(vld1q_u8(&block[112])));
+
+    uint64x2_t tmp;
+
+    /* Rounds 0-1 */
+    tmp = vaddq_u64(m0, vld1q_u64(&K[0]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m0 = vsha512su1q_u64(vsha512su0q_u64(m0, m1), m7, vextq_u64(m4, m5, 1));
+
+    /* Rounds 2-3 */
+    tmp = vaddq_u64(m1, vld1q_u64(&K[2]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m1 = vsha512su1q_u64(vsha512su0q_u64(m1, m2), m0, vextq_u64(m5, m6, 1));
+
+    /* Rounds 4-5 */
+    tmp = vaddq_u64(m2, vld1q_u64(&K[4]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m2 = vsha512su1q_u64(vsha512su0q_u64(m2, m3), m1, vextq_u64(m6, m7, 1));
+
+    /* Rounds 6-7 */
+    tmp = vaddq_u64(m3, vld1q_u64(&K[6]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m3 = vsha512su1q_u64(vsha512su0q_u64(m3, m4), m2, vextq_u64(m7, m0, 1));
+
+    /* Rounds 8-9 */
+    tmp = vaddq_u64(m4, vld1q_u64(&K[8]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m4 = vsha512su1q_u64(vsha512su0q_u64(m4, m5), m3, vextq_u64(m0, m1, 1));
+
+    /* Rounds 10-11 */
+    tmp = vaddq_u64(m5, vld1q_u64(&K[10]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m5 = vsha512su1q_u64(vsha512su0q_u64(m5, m6), m4, vextq_u64(m1, m2, 1));
+
+    /* Rounds 12-13 */
+    tmp = vaddq_u64(m6, vld1q_u64(&K[12]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m6 = vsha512su1q_u64(vsha512su0q_u64(m6, m7), m5, vextq_u64(m2, m3, 1));
+
+    /* Rounds 14-15 */
+    tmp = vaddq_u64(m7, vld1q_u64(&K[14]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m7 = vsha512su1q_u64(vsha512su0q_u64(m7, m0), m6, vextq_u64(m3, m4, 1));
+
+    /* Rounds 16-17 */
+    tmp = vaddq_u64(m0, vld1q_u64(&K[16]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m0 = vsha512su1q_u64(vsha512su0q_u64(m0, m1), m7, vextq_u64(m4, m5, 1));
+
+    /* Rounds 18-19 */
+    tmp = vaddq_u64(m1, vld1q_u64(&K[18]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m1 = vsha512su1q_u64(vsha512su0q_u64(m1, m2), m0, vextq_u64(m5, m6, 1));
+
+    /* Rounds 20-21 */
+    tmp = vaddq_u64(m2, vld1q_u64(&K[20]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m2 = vsha512su1q_u64(vsha512su0q_u64(m2, m3), m1, vextq_u64(m6, m7, 1));
+
+    /* Rounds 22-23 */
+    tmp = vaddq_u64(m3, vld1q_u64(&K[22]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m3 = vsha512su1q_u64(vsha512su0q_u64(m3, m4), m2, vextq_u64(m7, m0, 1));
+
+    /* Rounds 24-25 */
+    tmp = vaddq_u64(m4, vld1q_u64(&K[24]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m4 = vsha512su1q_u64(vsha512su0q_u64(m4, m5), m3, vextq_u64(m0, m1, 1));
+
+    /* Rounds 26-27 */
+    tmp = vaddq_u64(m5, vld1q_u64(&K[26]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m5 = vsha512su1q_u64(vsha512su0q_u64(m5, m6), m4, vextq_u64(m1, m2, 1));
+
+    /* Rounds 28-29 */
+    tmp = vaddq_u64(m6, vld1q_u64(&K[28]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m6 = vsha512su1q_u64(vsha512su0q_u64(m6, m7), m5, vextq_u64(m2, m3, 1));
+
+    /* Rounds 30-31 */
+    tmp = vaddq_u64(m7, vld1q_u64(&K[30]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m7 = vsha512su1q_u64(vsha512su0q_u64(m7, m0), m6, vextq_u64(m3, m4, 1));
+
+    /* Rounds 32-33 */
+    tmp = vaddq_u64(m0, vld1q_u64(&K[32]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m0 = vsha512su1q_u64(vsha512su0q_u64(m0, m1), m7, vextq_u64(m4, m5, 1));
+
+    /* Rounds 34-35 */
+    tmp = vaddq_u64(m1, vld1q_u64(&K[34]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m1 = vsha512su1q_u64(vsha512su0q_u64(m1, m2), m0, vextq_u64(m5, m6, 1));
+
+    /* Rounds 36-37 */
+    tmp = vaddq_u64(m2, vld1q_u64(&K[36]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m2 = vsha512su1q_u64(vsha512su0q_u64(m2, m3), m1, vextq_u64(m6, m7, 1));
+
+    /* Rounds 38-39 */
+    tmp = vaddq_u64(m3, vld1q_u64(&K[38]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m3 = vsha512su1q_u64(vsha512su0q_u64(m3, m4), m2, vextq_u64(m7, m0, 1));
+
+    /* Rounds 40-41 */
+    tmp = vaddq_u64(m4, vld1q_u64(&K[40]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m4 = vsha512su1q_u64(vsha512su0q_u64(m4, m5), m3, vextq_u64(m0, m1, 1));
+
+    /* Rounds 42-43 */
+    tmp = vaddq_u64(m5, vld1q_u64(&K[42]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m5 = vsha512su1q_u64(vsha512su0q_u64(m5, m6), m4, vextq_u64(m1, m2, 1));
+
+    /* Rounds 44-45 */
+    tmp = vaddq_u64(m6, vld1q_u64(&K[44]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m6 = vsha512su1q_u64(vsha512su0q_u64(m6, m7), m5, vextq_u64(m2, m3, 1));
+
+    /* Rounds 46-47 */
+    tmp = vaddq_u64(m7, vld1q_u64(&K[46]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m7 = vsha512su1q_u64(vsha512su0q_u64(m7, m0), m6, vextq_u64(m3, m4, 1));
+
+    /* Rounds 48-49 */
+    tmp = vaddq_u64(m0, vld1q_u64(&K[48]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m0 = vsha512su1q_u64(vsha512su0q_u64(m0, m1), m7, vextq_u64(m4, m5, 1));
+
+    /* Rounds 50-51 */
+    tmp = vaddq_u64(m1, vld1q_u64(&K[50]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m1 = vsha512su1q_u64(vsha512su0q_u64(m1, m2), m0, vextq_u64(m5, m6, 1));
+
+    /* Rounds 52-53 */
+    tmp = vaddq_u64(m2, vld1q_u64(&K[52]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m2 = vsha512su1q_u64(vsha512su0q_u64(m2, m3), m1, vextq_u64(m6, m7, 1));
+
+    /* Rounds 54-55 */
+    tmp = vaddq_u64(m3, vld1q_u64(&K[54]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m3 = vsha512su1q_u64(vsha512su0q_u64(m3, m4), m2, vextq_u64(m7, m0, 1));
+
+    /* Rounds 56-57 */
+    tmp = vaddq_u64(m4, vld1q_u64(&K[56]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+    m4 = vsha512su1q_u64(vsha512su0q_u64(m4, m5), m3, vextq_u64(m0, m1, 1));
+
+    /* Rounds 58-59 */
+    tmp = vaddq_u64(m5, vld1q_u64(&K[58]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+    m5 = vsha512su1q_u64(vsha512su0q_u64(m5, m6), m4, vextq_u64(m1, m2, 1));
+
+    /* Rounds 60-61 */
+    tmp = vaddq_u64(m6, vld1q_u64(&K[60]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+    m6 = vsha512su1q_u64(vsha512su0q_u64(m6, m7), m5, vextq_u64(m2, m3, 1));
+
+    /* Rounds 62-63 */
+    tmp = vaddq_u64(m7, vld1q_u64(&K[62]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+    m7 = vsha512su1q_u64(vsha512su0q_u64(m7, m0), m6, vextq_u64(m3, m4, 1));
+
+    /* Rounds 64-65 */
+    tmp = vaddq_u64(m0, vld1q_u64(&K[64]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+
+    /* Rounds 66-67 */
+    tmp = vaddq_u64(m1, vld1q_u64(&K[66]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+
+    /* Rounds 68-69 */
+    tmp = vaddq_u64(m2, vld1q_u64(&K[68]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+
+    /* Rounds 70-71 */
+    tmp = vaddq_u64(m3, vld1q_u64(&K[70]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+
+    /* Rounds 72-73 */
+    tmp = vaddq_u64(m4, vld1q_u64(&K[72]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(gh, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ef, gh, 1), vextq_u64(cd, ef, 1));
+    gh = vsha512h2q_u64(tmp, cd, ab);
+    cd = vaddq_u64(cd, tmp);
+
+    /* Rounds 74-75 */
+    tmp = vaddq_u64(m5, vld1q_u64(&K[74]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ef, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(cd, ef, 1), vextq_u64(ab, cd, 1));
+    ef = vsha512h2q_u64(tmp, ab, gh);
+    ab = vaddq_u64(ab, tmp);
+
+    /* Rounds 76-77 */
+    tmp = vaddq_u64(m6, vld1q_u64(&K[76]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(cd, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(ab, cd, 1), vextq_u64(gh, ab, 1));
+    cd = vsha512h2q_u64(tmp, gh, ef);
+    gh = vaddq_u64(gh, tmp);
+
+    /* Rounds 78-79 */
+    tmp = vaddq_u64(m7, vld1q_u64(&K[78]));
+    tmp = vextq_u64(tmp, tmp, 1);
+    tmp = vaddq_u64(ab, tmp);
+    tmp = vsha512hq_u64(tmp, vextq_u64(gh, ab, 1), vextq_u64(ef, gh, 1));
+    ab = vsha512h2q_u64(tmp, ef, cd);
+    ef = vaddq_u64(ef, tmp);
+
+    /* Add original state back */
+    ab = vaddq_u64(ab, ab_orig);
+    cd = vaddq_u64(cd, cd_orig);
+    ef = vaddq_u64(ef, ef_orig);
+    gh = vaddq_u64(gh, gh_orig);
+
+    /* Store result */
+    vst1q_u64(&state[0], ab);
+    vst1q_u64(&state[2], cd);
+    vst1q_u64(&state[4], ef);
+    vst1q_u64(&state[6], gh);
+}
+
+/* Return 1 if ARM SHA512 is available, 0 otherwise */
+int sha512_arm_available(void) {
+    return 1;
+}
+
+#else
+
+/* Stub implementations when ARM SHA512 is not available */
+void sha512_block_arm(uint64_t *state, const uint8_t *block) {
+    (void)state;
+    (void)block;
+    /* Should never be called - use pure Haskell fallback */
+}
+
+int sha512_arm_available(void) {
+    return 0;
+}
+
+#endif
diff --git a/lib/Crypto/Hash/SHA512.hs b/lib/Crypto/Hash/SHA512.hs
--- a/lib/Crypto/Hash/SHA512.hs
+++ b/lib/Crypto/Hash/SHA512.hs
@@ -1,7 +1,5 @@
-{-# OPTIONS_GHC -funbox-small-strict-fields #-}
+{-# OPTIONS_HADDOCK prune #-}
 {-# LANGUAGE BangPatterns #-}
-{-# LANGUAGE RecordWildCards #-}
-{-# LANGUAGE ViewPatterns #-}
 
 -- |
 -- Module: Crypto.Hash.SHA512
@@ -9,504 +7,41 @@
 -- License: MIT
 -- Maintainer: Jared Tobin <jared@ppad.tech>
 --
--- Pure SHA-512 and HMAC-SHA512 implementations for
+-- SHA-512 and HMAC-SHA512 implementations for
 -- strict and lazy ByteStrings, as specified by RFC's
 -- [6234](https://datatracker.ietf.org/doc/html/rfc6234) and
 -- [2104](https://datatracker.ietf.org/doc/html/rfc2104).
+--
+-- The 'hash' and 'hmac' functions will use primitive instructions from
+-- the ARM cryptographic extensions via FFI if they're available, and
+-- will otherwise use a pure Haskell implementation.
 
 module Crypto.Hash.SHA512 (
   -- * SHA-512 message digest functions
     hash
-  , hash_lazy
+  , Lazy.hash_lazy
 
   -- * SHA512-based MAC functions
   , hmac
-  , hmac_lazy
+  , Lazy.hmac_lazy
   ) where
 
 import qualified Data.Bits as B
-import Data.Bits ((.|.), (.&.))
 import qualified Data.ByteString as BS
-import qualified Data.ByteString.Builder as BSB
-import qualified Data.ByteString.Builder.Extra as BE
 import qualified Data.ByteString.Internal as BI
-import qualified Data.ByteString.Lazy as BL
-import qualified Data.ByteString.Lazy.Internal as BLI
 import qualified Data.ByteString.Unsafe as BU
 import Data.Word (Word64)
-import Foreign.ForeignPtr (plusForeignPtr)
+import Crypto.Hash.SHA512.Arm
+import Crypto.Hash.SHA512.Internal
+import qualified Crypto.Hash.SHA512.Lazy as Lazy
 
--- preliminary utils ----------------------------------------------------------
+-- utils ---------------------------------------------------------------------
 
--- keystroke saver
 fi :: (Integral a, Num b) => a -> b
 fi = fromIntegral
 {-# INLINE fi #-}
 
--- parse strict ByteString in BE order to Word64 (verbatim from
--- Data.Binary)
---
--- invariant:
---   the input bytestring is at least 64 bits in length
-unsafe_word64be :: BS.ByteString -> Word64
-unsafe_word64be s =
-  (fi (s `BU.unsafeIndex` 0) `B.unsafeShiftL` 56) .|.
-  (fi (s `BU.unsafeIndex` 1) `B.unsafeShiftL` 48) .|.
-  (fi (s `BU.unsafeIndex` 2) `B.unsafeShiftL` 40) .|.
-  (fi (s `BU.unsafeIndex` 3) `B.unsafeShiftL` 32) .|.
-  (fi (s `BU.unsafeIndex` 4) `B.unsafeShiftL` 24) .|.
-  (fi (s `BU.unsafeIndex` 5) `B.unsafeShiftL` 16) .|.
-  (fi (s `BU.unsafeIndex` 6) `B.unsafeShiftL`  8) .|.
-  (fi (s `BU.unsafeIndex` 7) )
-{-# INLINE unsafe_word64be #-}
-
--- utility types for more efficient ByteString management
-
-data SSPair = SSPair
-  {-# UNPACK #-} !BS.ByteString
-  {-# UNPACK #-} !BS.ByteString
-
-data SLPair = SLPair {-# UNPACK #-} !BS.ByteString !BL.ByteString
-
-data WSPair = WSPair {-# UNPACK #-} !Word64 {-# UNPACK #-} !BS.ByteString
-
--- unsafe version of splitAt that does no bounds checking
---
--- invariant:
---   0 <= n <= l
-unsafe_splitAt :: Int -> BS.ByteString -> SSPair
-unsafe_splitAt n (BI.BS x l) =
-  SSPair (BI.BS x n) (BI.BS (plusForeignPtr x n) (l - n))
-
--- variant of Data.ByteString.Lazy.splitAt that returns the initial
--- component as a strict, unboxed ByteString
-splitAt128 :: BL.ByteString -> SLPair
-splitAt128 = splitAt' (128 :: Int) where
-  splitAt' _ BLI.Empty        = SLPair mempty BLI.Empty
-  splitAt' n (BLI.Chunk c@(BI.PS _ _ l) cs) =
-    if    n < l
-    then
-      -- n < BS.length c, so unsafe_splitAt is safe
-      let !(SSPair c0 c1) = unsafe_splitAt n c
-      in  SLPair c0 (BLI.Chunk c1 cs)
-    else
-      let SLPair cs' cs'' = splitAt' (n - l) cs
-      in  SLPair (c <> cs') cs''
-
--- variant of Data.ByteString.splitAt that behaves like an incremental
--- Word64 parser
---
--- invariant:
---   the input bytestring is at least 64 bits in length
-unsafe_parseWsPair :: BS.ByteString -> WSPair
-unsafe_parseWsPair (BI.BS x l) =
-  WSPair (unsafe_word64be (BI.BS x 8)) (BI.BS (plusForeignPtr x 8) (l - 8))
-{-# INLINE unsafe_parseWsPair #-}
-
--- builder realization strategies
-
-to_strict :: BSB.Builder -> BS.ByteString
-to_strict = BL.toStrict . BSB.toLazyByteString
-
-to_strict_small :: BSB.Builder -> BS.ByteString
-to_strict_small = BL.toStrict . BE.toLazyByteStringWith
-  (BE.safeStrategy 128 BE.smallChunkSize) mempty
-
--- message padding and parsing ------------------------------------------------
--- https://datatracker.ietf.org/doc/html/rfc6234#section-4.1
-
--- k such that (l + 1 + k) mod 128 = 112
-sol :: Word64 -> Word64
-sol l =
-  let r = 112 - fi l `rem` 128 - 1 :: Integer -- fi prevents underflow
-  in  fi (if r < 0 then r + 128 else r)
-
--- RFC 6234 4.1 (strict)
-pad :: BS.ByteString -> BS.ByteString
-pad m@(BI.PS _ _ (fi -> l))
-    | l < 128   = to_strict_small padded
-    | otherwise = to_strict padded
-  where
-    padded = BSB.byteString m
-          <> fill (sol l) (BSB.word8 0x80)
-          <> BSB.word64BE 0x00
-          <> BSB.word64BE (l * 8)
-
-    fill j !acc
-      | j `rem` 8 == 0 =
-             loop64 j acc
-      | (j - 7) `rem` 8 == 0 =
-             loop64 (j - 7) acc
-          <> BSB.word32BE 0x00
-          <> BSB.word16BE 0x00
-          <> BSB.word8 0x00
-      | (j - 6) `rem` 8 == 0 =
-             loop64 (j - 6) acc
-          <> BSB.word32BE 0x00
-          <> BSB.word16BE 0x00
-      | (j - 5) `rem` 8 == 0 =
-             loop64 (j - 5) acc
-          <> BSB.word32BE 0x00
-          <> BSB.word8 0x00
-      | (j - 4) `rem` 8 == 0 =
-             loop64 (j - 4) acc
-          <> BSB.word32BE 0x00
-      | (j - 3) `rem` 8 == 0 =
-             loop64 (j - 3) acc
-          <> BSB.word16BE 0x00
-          <> BSB.word8 0x00
-      | (j - 2) `rem` 8 == 0 =
-             loop64 (j - 2) acc
-          <> BSB.word16BE 0x00
-      | (j - 1) `rem` 8 == 0 =
-             loop64 (j - 1) acc
-          <> BSB.word8 0x00
-
-      | j `rem` 4 == 0 =
-             loop32 j acc
-      | (j - 3) `rem` 4 == 0 =
-             loop32 (j - 3) acc
-          <> BSB.word16BE 0x00
-          <> BSB.word8 0x00
-      | (j - 2) `rem` 4 == 0 =
-             loop32 (j - 2) acc
-          <> BSB.word16BE 0x00
-      | (j - 1) `rem` 4 == 0 =
-             loop32 (j - 1) acc
-          <> BSB.word8 0x00
-
-      | j `rem` 2 == 0 =
-             loop16 j acc
-      | (j - 1) `rem` 2 == 0 =
-             loop16 (j - 1) acc
-          <> BSB.word8 0x00
-
-      | otherwise =
-            loop8 j acc
-
-    loop64 j !acc
-      | j == 0 = acc
-      | otherwise = loop64 (j - 8) (acc <> BSB.word64BE 0x00)
-
-    loop32 j !acc
-      | j == 0 = acc
-      | otherwise = loop32 (j - 4) (acc <> BSB.word32BE 0x00)
-
-    loop16 j !acc
-      | j == 0 = acc
-      | otherwise = loop16 (j - 2) (acc <> BSB.word16BE 0x00)
-
-    loop8 j !acc
-      | j == 0 = acc
-      | otherwise = loop8 (pred j) (acc <> BSB.word8 0x00)
-
--- RFC 6234 4.1 (lazy)
-pad_lazy :: BL.ByteString -> BL.ByteString
-pad_lazy (BL.toChunks -> m) = BL.fromChunks (walk 0 m) where
-  walk !l bs = case bs of
-    (c:cs) -> c : walk (l + fi (BS.length c)) cs
-    [] -> padding l (sol l) (BSB.word8 0x80)
-
-  padding l k bs
-    | k == 0 =
-          pure
-        . to_strict
-        $ bs <> BSB.word64BE 0x00 <> BSB.word64BE (l * 8)
-    | otherwise =
-        let nacc = bs <> BSB.word8 0x00
-        in  padding l (pred k) nacc
-
--- functions and constants used -----------------------------------------------
--- https://datatracker.ietf.org/doc/html/rfc6234#section-5.1
-
-ch :: Word64 -> Word64 -> Word64 -> Word64
-ch x y z = (x .&. y) `B.xor` (B.complement x .&. z)
-{-# INLINE ch #-}
-
--- credit to SHA authors for the following optimisation. their text:
---
--- > note:
--- >   the original functions is (x & y) ^ (x & z) ^ (y & z)
--- >   if you fire off truth tables, this is equivalent to
--- >     (x & y) | (x & z) | (y & z)
--- >   which you can the use distribution on:
--- >     (x & (y | z)) | (y & z)
--- >   which saves us one operation.
-maj :: Word64 -> Word64 -> Word64 -> Word64
-maj x y z = (x .&. (y .|. z)) .|. (y .&. z)
-{-# INLINE maj #-}
-
-bsig0 :: Word64 -> Word64
-bsig0 x = B.rotateR x 28 `B.xor` B.rotateR x 34 `B.xor` B.rotateR x 39
-{-# INLINE bsig0 #-}
-
-bsig1 :: Word64 -> Word64
-bsig1 x = B.rotateR x 14 `B.xor` B.rotateR x 18 `B.xor` B.rotateR x 41
-{-# INLINE bsig1 #-}
-
-ssig0 :: Word64 -> Word64
-ssig0 x = B.rotateR x 1 `B.xor` B.rotateR x 8 `B.xor` B.unsafeShiftR x 7
-{-# INLINE ssig0 #-}
-
-ssig1 :: Word64 -> Word64
-ssig1 x = B.rotateR x 19 `B.xor` B.rotateR x 61 `B.xor` B.unsafeShiftR x 6
-{-# INLINE ssig1 #-}
-
-data Schedule = Schedule {
-    w00 :: !Word64, w01 :: !Word64, w02 :: !Word64, w03 :: !Word64
-  , w04 :: !Word64, w05 :: !Word64, w06 :: !Word64, w07 :: !Word64
-  , w08 :: !Word64, w09 :: !Word64, w10 :: !Word64, w11 :: !Word64
-  , w12 :: !Word64, w13 :: !Word64, w14 :: !Word64, w15 :: !Word64
-  , w16 :: !Word64, w17 :: !Word64, w18 :: !Word64, w19 :: !Word64
-  , w20 :: !Word64, w21 :: !Word64, w22 :: !Word64, w23 :: !Word64
-  , w24 :: !Word64, w25 :: !Word64, w26 :: !Word64, w27 :: !Word64
-  , w28 :: !Word64, w29 :: !Word64, w30 :: !Word64, w31 :: !Word64
-  , w32 :: !Word64, w33 :: !Word64, w34 :: !Word64, w35 :: !Word64
-  , w36 :: !Word64, w37 :: !Word64, w38 :: !Word64, w39 :: !Word64
-  , w40 :: !Word64, w41 :: !Word64, w42 :: !Word64, w43 :: !Word64
-  , w44 :: !Word64, w45 :: !Word64, w46 :: !Word64, w47 :: !Word64
-  , w48 :: !Word64, w49 :: !Word64, w50 :: !Word64, w51 :: !Word64
-  , w52 :: !Word64, w53 :: !Word64, w54 :: !Word64, w55 :: !Word64
-  , w56 :: !Word64, w57 :: !Word64, w58 :: !Word64, w59 :: !Word64
-  , w60 :: !Word64, w61 :: !Word64, w62 :: !Word64, w63 :: !Word64
-  , w64 :: !Word64, w65 :: !Word64, w66 :: !Word64, w67 :: !Word64
-  , w68 :: !Word64, w69 :: !Word64, w70 :: !Word64, w71 :: !Word64
-  , w72 :: !Word64, w73 :: !Word64, w74 :: !Word64, w75 :: !Word64
-  , w76 :: !Word64, w77 :: !Word64, w78 :: !Word64, w79 :: !Word64
-  }
-
--- initialization -------------------------------------------------------------
--- https://datatracker.ietf.org/doc/html/rfc6234#section-6.1
-
-data Registers = Registers {
-    h0 :: !Word64, h1 :: !Word64, h2 :: !Word64, h3 :: !Word64
-  , h4 :: !Word64, h5 :: !Word64, h6 :: !Word64, h7 :: !Word64
-  }
-
--- first 64 bits of the fractional parts of the square roots of the
--- first eight primes
-iv :: Registers
-iv = Registers
-  0x6a09e667f3bcc908 0xbb67ae8584caa73b 0x3c6ef372fe94f82b 0xa54ff53a5f1d36f1
-  0x510e527fade682d1 0x9b05688c2b3e6c1f 0x1f83d9abfb41bd6b 0x5be0cd19137e2179
-
--- processing -----------------------------------------------------------------
--- https://datatracker.ietf.org/doc/html/rfc6234#section-6.2
-
-data Block = Block {
-    m00 :: !Word64, m01 :: !Word64, m02 :: !Word64, m03 :: !Word64
-  , m04 :: !Word64, m05 :: !Word64, m06 :: !Word64, m07 :: !Word64
-  , m08 :: !Word64, m09 :: !Word64, m10 :: !Word64, m11 :: !Word64
-  , m12 :: !Word64, m13 :: !Word64, m14 :: !Word64, m15 :: !Word64
-  }
-
--- parse strict bytestring to block
---
--- invariant:
---   the input bytestring is exactly 1024 bits long
-unsafe_parse :: BS.ByteString -> Block
-unsafe_parse bs =
-  let !(WSPair m00 t00) = unsafe_parseWsPair bs
-      !(WSPair m01 t01) = unsafe_parseWsPair t00
-      !(WSPair m02 t02) = unsafe_parseWsPair t01
-      !(WSPair m03 t03) = unsafe_parseWsPair t02
-      !(WSPair m04 t04) = unsafe_parseWsPair t03
-      !(WSPair m05 t05) = unsafe_parseWsPair t04
-      !(WSPair m06 t06) = unsafe_parseWsPair t05
-      !(WSPair m07 t07) = unsafe_parseWsPair t06
-      !(WSPair m08 t08) = unsafe_parseWsPair t07
-      !(WSPair m09 t09) = unsafe_parseWsPair t08
-      !(WSPair m10 t10) = unsafe_parseWsPair t09
-      !(WSPair m11 t11) = unsafe_parseWsPair t10
-      !(WSPair m12 t12) = unsafe_parseWsPair t11
-      !(WSPair m13 t13) = unsafe_parseWsPair t12
-      !(WSPair m14 t14) = unsafe_parseWsPair t13
-      !(WSPair m15 t15) = unsafe_parseWsPair t14
-  in  if   BS.null t15
-      then Block {..}
-      else error "ppad-sha512: internal error (bytes remaining)"
-
--- RFC 6234 6.2 step 1
-prepare_schedule :: Block -> Schedule
-prepare_schedule Block {..} = Schedule {..} where
-  w00 = m00; w01 = m01; w02 = m02; w03 = m03
-  w04 = m04; w05 = m05; w06 = m06; w07 = m07
-  w08 = m08; w09 = m09; w10 = m10; w11 = m11
-  w12 = m12; w13 = m13; w14 = m14; w15 = m15
-  w16 = ssig1 w14 + w09 + ssig0 w01 + w00
-  w17 = ssig1 w15 + w10 + ssig0 w02 + w01
-  w18 = ssig1 w16 + w11 + ssig0 w03 + w02
-  w19 = ssig1 w17 + w12 + ssig0 w04 + w03
-  w20 = ssig1 w18 + w13 + ssig0 w05 + w04
-  w21 = ssig1 w19 + w14 + ssig0 w06 + w05
-  w22 = ssig1 w20 + w15 + ssig0 w07 + w06
-  w23 = ssig1 w21 + w16 + ssig0 w08 + w07
-  w24 = ssig1 w22 + w17 + ssig0 w09 + w08
-  w25 = ssig1 w23 + w18 + ssig0 w10 + w09
-  w26 = ssig1 w24 + w19 + ssig0 w11 + w10
-  w27 = ssig1 w25 + w20 + ssig0 w12 + w11
-  w28 = ssig1 w26 + w21 + ssig0 w13 + w12
-  w29 = ssig1 w27 + w22 + ssig0 w14 + w13
-  w30 = ssig1 w28 + w23 + ssig0 w15 + w14
-  w31 = ssig1 w29 + w24 + ssig0 w16 + w15
-  w32 = ssig1 w30 + w25 + ssig0 w17 + w16
-  w33 = ssig1 w31 + w26 + ssig0 w18 + w17
-  w34 = ssig1 w32 + w27 + ssig0 w19 + w18
-  w35 = ssig1 w33 + w28 + ssig0 w20 + w19
-  w36 = ssig1 w34 + w29 + ssig0 w21 + w20
-  w37 = ssig1 w35 + w30 + ssig0 w22 + w21
-  w38 = ssig1 w36 + w31 + ssig0 w23 + w22
-  w39 = ssig1 w37 + w32 + ssig0 w24 + w23
-  w40 = ssig1 w38 + w33 + ssig0 w25 + w24
-  w41 = ssig1 w39 + w34 + ssig0 w26 + w25
-  w42 = ssig1 w40 + w35 + ssig0 w27 + w26
-  w43 = ssig1 w41 + w36 + ssig0 w28 + w27
-  w44 = ssig1 w42 + w37 + ssig0 w29 + w28
-  w45 = ssig1 w43 + w38 + ssig0 w30 + w29
-  w46 = ssig1 w44 + w39 + ssig0 w31 + w30
-  w47 = ssig1 w45 + w40 + ssig0 w32 + w31
-  w48 = ssig1 w46 + w41 + ssig0 w33 + w32
-  w49 = ssig1 w47 + w42 + ssig0 w34 + w33
-  w50 = ssig1 w48 + w43 + ssig0 w35 + w34
-  w51 = ssig1 w49 + w44 + ssig0 w36 + w35
-  w52 = ssig1 w50 + w45 + ssig0 w37 + w36
-  w53 = ssig1 w51 + w46 + ssig0 w38 + w37
-  w54 = ssig1 w52 + w47 + ssig0 w39 + w38
-  w55 = ssig1 w53 + w48 + ssig0 w40 + w39
-  w56 = ssig1 w54 + w49 + ssig0 w41 + w40
-  w57 = ssig1 w55 + w50 + ssig0 w42 + w41
-  w58 = ssig1 w56 + w51 + ssig0 w43 + w42
-  w59 = ssig1 w57 + w52 + ssig0 w44 + w43
-  w60 = ssig1 w58 + w53 + ssig0 w45 + w44
-  w61 = ssig1 w59 + w54 + ssig0 w46 + w45
-  w62 = ssig1 w60 + w55 + ssig0 w47 + w46
-  w63 = ssig1 w61 + w56 + ssig0 w48 + w47
-  w64 = ssig1 w62 + w57 + ssig0 w49 + w48
-  w65 = ssig1 w63 + w58 + ssig0 w50 + w49
-  w66 = ssig1 w64 + w59 + ssig0 w51 + w50
-  w67 = ssig1 w65 + w60 + ssig0 w52 + w51
-  w68 = ssig1 w66 + w61 + ssig0 w53 + w52
-  w69 = ssig1 w67 + w62 + ssig0 w54 + w53
-  w70 = ssig1 w68 + w63 + ssig0 w55 + w54
-  w71 = ssig1 w69 + w64 + ssig0 w56 + w55
-  w72 = ssig1 w70 + w65 + ssig0 w57 + w56
-  w73 = ssig1 w71 + w66 + ssig0 w58 + w57
-  w74 = ssig1 w72 + w67 + ssig0 w59 + w58
-  w75 = ssig1 w73 + w68 + ssig0 w60 + w59
-  w76 = ssig1 w74 + w69 + ssig0 w61 + w60
-  w77 = ssig1 w75 + w70 + ssig0 w62 + w61
-  w78 = ssig1 w76 + w71 + ssig0 w63 + w62
-  w79 = ssig1 w77 + w72 + ssig0 w64 + w63
-
--- RFC 6234 6.2 steps 2, 3, 4
-block_hash :: Registers -> Schedule -> Registers
-block_hash r00@Registers {..} Schedule {..} =
-  -- constants are the first 64 bits of the fractional parts of the
-  -- cube roots of the first eighty prime numbers
-  let r01 = step r00 0x428a2f98d728ae22 w00
-      r02 = step r01 0x7137449123ef65cd w01
-      r03 = step r02 0xb5c0fbcfec4d3b2f w02
-      r04 = step r03 0xe9b5dba58189dbbc w03
-      r05 = step r04 0x3956c25bf348b538 w04
-      r06 = step r05 0x59f111f1b605d019 w05
-      r07 = step r06 0x923f82a4af194f9b w06
-      r08 = step r07 0xab1c5ed5da6d8118 w07
-      r09 = step r08 0xd807aa98a3030242 w08
-      r10 = step r09 0x12835b0145706fbe w09
-      r11 = step r10 0x243185be4ee4b28c w10
-      r12 = step r11 0x550c7dc3d5ffb4e2 w11
-      r13 = step r12 0x72be5d74f27b896f w12
-      r14 = step r13 0x80deb1fe3b1696b1 w13
-      r15 = step r14 0x9bdc06a725c71235 w14
-      r16 = step r15 0xc19bf174cf692694 w15
-      r17 = step r16 0xe49b69c19ef14ad2 w16
-      r18 = step r17 0xefbe4786384f25e3 w17
-      r19 = step r18 0x0fc19dc68b8cd5b5 w18
-      r20 = step r19 0x240ca1cc77ac9c65 w19
-      r21 = step r20 0x2de92c6f592b0275 w20
-      r22 = step r21 0x4a7484aa6ea6e483 w21
-      r23 = step r22 0x5cb0a9dcbd41fbd4 w22
-      r24 = step r23 0x76f988da831153b5 w23
-      r25 = step r24 0x983e5152ee66dfab w24
-      r26 = step r25 0xa831c66d2db43210 w25
-      r27 = step r26 0xb00327c898fb213f w26
-      r28 = step r27 0xbf597fc7beef0ee4 w27
-      r29 = step r28 0xc6e00bf33da88fc2 w28
-      r30 = step r29 0xd5a79147930aa725 w29
-      r31 = step r30 0x06ca6351e003826f w30
-      r32 = step r31 0x142929670a0e6e70 w31
-      r33 = step r32 0x27b70a8546d22ffc w32
-      r34 = step r33 0x2e1b21385c26c926 w33
-      r35 = step r34 0x4d2c6dfc5ac42aed w34
-      r36 = step r35 0x53380d139d95b3df w35
-      r37 = step r36 0x650a73548baf63de w36
-      r38 = step r37 0x766a0abb3c77b2a8 w37
-      r39 = step r38 0x81c2c92e47edaee6 w38
-      r40 = step r39 0x92722c851482353b w39
-      r41 = step r40 0xa2bfe8a14cf10364 w40
-      r42 = step r41 0xa81a664bbc423001 w41
-      r43 = step r42 0xc24b8b70d0f89791 w42
-      r44 = step r43 0xc76c51a30654be30 w43
-      r45 = step r44 0xd192e819d6ef5218 w44
-      r46 = step r45 0xd69906245565a910 w45
-      r47 = step r46 0xf40e35855771202a w46
-      r48 = step r47 0x106aa07032bbd1b8 w47
-      r49 = step r48 0x19a4c116b8d2d0c8 w48
-      r50 = step r49 0x1e376c085141ab53 w49
-      r51 = step r50 0x2748774cdf8eeb99 w50
-      r52 = step r51 0x34b0bcb5e19b48a8 w51
-      r53 = step r52 0x391c0cb3c5c95a63 w52
-      r54 = step r53 0x4ed8aa4ae3418acb w53
-      r55 = step r54 0x5b9cca4f7763e373 w54
-      r56 = step r55 0x682e6ff3d6b2b8a3 w55
-      r57 = step r56 0x748f82ee5defb2fc w56
-      r58 = step r57 0x78a5636f43172f60 w57
-      r59 = step r58 0x84c87814a1f0ab72 w58
-      r60 = step r59 0x8cc702081a6439ec w59
-      r61 = step r60 0x90befffa23631e28 w60
-      r62 = step r61 0xa4506cebde82bde9 w61
-      r63 = step r62 0xbef9a3f7b2c67915 w62
-      r64 = step r63 0xc67178f2e372532b w63
-      r65 = step r64 0xca273eceea26619c w64
-      r66 = step r65 0xd186b8c721c0c207 w65
-      r67 = step r66 0xeada7dd6cde0eb1e w66
-      r68 = step r67 0xf57d4f7fee6ed178 w67
-      r69 = step r68 0x06f067aa72176fba w68
-      r70 = step r69 0x0a637dc5a2c898a6 w69
-      r71 = step r70 0x113f9804bef90dae w70
-      r72 = step r71 0x1b710b35131c471b w71
-      r73 = step r72 0x28db77f523047d84 w72
-      r74 = step r73 0x32caab7b40c72493 w73
-      r75 = step r74 0x3c9ebe0a15c9bebc w74
-      r76 = step r75 0x431d67c49c100d4c w75
-      r77 = step r76 0x4cc5d4becb3e42b6 w76
-      r78 = step r77 0x597f299cfc657e2a w77
-      r79 = step r78 0x5fcb6fab3ad6faec w78
-      r80 = step r79 0x6c44198c4a475817 w79
-      !(Registers a b c d e f g h) = r80
-  in  Registers
-        (a + h0) (b + h1) (c + h2) (d + h3)
-        (e + h4) (f + h5) (g + h6) (h + h7)
-
-step :: Registers -> Word64 -> Word64 -> Registers
-step (Registers a b c d e f g h) k w =
-  let t1 = h + bsig1 e + ch e f g + k + w
-      t2 = bsig0 a + maj a b c
-  in  Registers (t1 + t2) a b c (d + t1) e f g
-{-# INLINE step #-}
-
--- RFC 6234 6.2 block pipeline
---
--- invariant:
---   the input bytestring is exactly 1024 bits in length
-unsafe_hash_alg :: Registers -> BS.ByteString -> Registers
-unsafe_hash_alg rs bs = block_hash rs (prepare_schedule (unsafe_parse bs))
-
--- register concatenation
-cat :: Registers -> BS.ByteString
-cat Registers {..} = to_strict_small $
-     BSB.word64BE h0 <> BSB.word64BE h1 <> BSB.word64BE h2 <> BSB.word64BE h3
-  <> BSB.word64BE h4 <> BSB.word64BE h5 <> BSB.word64BE h6 <> BSB.word64BE h7
+-- hash ----------------------------------------------------------------------
 
 -- | Compute a condensed representation of a strict bytestring via
 --   SHA-512.
@@ -516,53 +51,32 @@
 --   >>> hash "strict bytestring input"
 --   "<strict 512-bit message digest>"
 hash :: BS.ByteString -> BS.ByteString
-hash bs = cat (go iv (pad bs)) where
-  -- proof that 'go' always terminates safely:
-  --
-  -- let b = pad bs
-  -- then length(b) = n * 1024 bits for some n >= 0                 (1)
-  go :: Registers -> BS.ByteString -> Registers
-  go !acc b
-    -- if n == 0, then 'go' terminates safely                       (2)
-    | BS.null b = acc
-    -- if n > 0, then
-    --
-    -- let (c, r) = unsafe_splitAt 128 b
-    -- then length(c) == 1024 bits                                  by (1)
-    --      length(r) == m * 1024 bits for some m >= 0              by (1)
-    --
-    -- note 'unsafe_hash_alg' terminates safely for bytestring      (3)
-    -- input of exactly 1024 bits in length
-    --
-    -- length(c) == 1024
-    --   => 'unsafe_hash_alg' terminates safely                     by (3)
-    --   => 'go' terminates safely                                  (4)
-    -- length(r) == m * 1024 bits for m >= 0
-    --   => next invocation of 'go' terminates safely               by (2), (4)
-    --
-    -- then by induction, 'go' always terminates safely (QED)
-    | otherwise = case unsafe_splitAt 128 b of
-        SSPair c r -> go (unsafe_hash_alg acc c) r
+hash m
+  | sha512_arm_available = hash_arm m
+  | otherwise            = cat (process m)
 
--- | Compute a condensed representation of a lazy bytestring via
---   SHA-512.
---
---   The 512-bit output digest is returned as a strict bytestring.
---
---   >>> hash_lazy "lazy bytestring input"
---   "<strict 512-bit message digest>"
-hash_lazy :: BL.ByteString -> BS.ByteString
-hash_lazy bl = cat (go iv (pad_lazy bl)) where
-  -- proof of safety proceeds analogously
-  go :: Registers -> BL.ByteString -> Registers
-  go !acc bs
-    | BL.null bs = acc
-    | otherwise = case splitAt128 bs of
-        SLPair c r -> go (unsafe_hash_alg acc c) r
+-- process a message, given the specified iv
+process_with :: Registers -> Word64 -> BS.ByteString -> Registers
+process_with acc0 el m@(BI.PS _ _ l) = finalize (go acc0 0) where
+  go !acc !j
+    | j + 128 <= l = go (block_hash acc (prepare_schedule (parse_block m j)))
+                        (j + 128)
+    | otherwise    = acc
 
--- HMAC -----------------------------------------------------------------------
--- https://datatracker.ietf.org/doc/html/rfc2104#section-2
+  finalize !acc
+      | len < 112 = block_hash acc (prepare_schedule (parse_block padded 0))
+      | otherwise = block_hash
+          (block_hash acc (prepare_schedule (parse_block padded 0)))
+          (prepare_schedule (parse_block padded 128))
+    where
+      !remaining@(BI.PS _ _ len) = BU.unsafeDrop (l - l `rem` 128) m
+      !padded = unsafe_padding remaining (el + fi l)
 
+process :: BS.ByteString -> Registers
+process = process_with iv 0
+
+-- hmac ----------------------------------------------------------------------
+
 data KeyAndLen = KeyAndLen
   {-# UNPACK #-} !BS.ByteString
   {-# UNPACK #-} !Int
@@ -573,7 +87,7 @@
 --   The 512-bit MAC is returned as a strict bytestring.
 --
 --   Per RFC 2104, the key /should/ be a minimum of 64 bytes long. Keys
---   exceeding 1024 bytes in length will first be hashed (via SHA-512).
+--   exceeding 128 bytes in length will first be hashed (via SHA-512).
 --
 --   >>> hmac "strict bytestring key" "strict bytestring input"
 --   "<strict 512-bit MAC>"
@@ -581,43 +95,18 @@
   :: BS.ByteString -- ^ key
   -> BS.ByteString -- ^ text
   -> BS.ByteString
-hmac mk@(BI.PS _ _ l) text =
-    let step1 = k <> BS.replicate (128 - lk) 0x00
-        step2 = BS.map (B.xor 0x36) step1
-        step3 = step2 <> text
-        step4 = hash step3
-        step5 = BS.map (B.xor 0x5C) step1
-        step6 = step5 <> step4
-    in  hash step6
-  where
-    !(KeyAndLen k lk)
-      | l > 128   = KeyAndLen (hash mk) 64
-      | otherwise = KeyAndLen mk l
-
--- | Produce a message authentication code for a lazy bytestring, based
---   on the provided (strict, bytestring) key, via SHA-512.
---
---   The 512-bit MAC is returned as a strict bytestring.
---
---   Per RFC 2104, the key /should/ be a minimum of 64 bytes long. Keys
---   exceeding 1024 bytes in length will first be hashed (via SHA-512).
---
---   >>> hmac_lazy "strict bytestring key" "lazy bytestring input"
---   "<strict 512-bit MAC>"
-hmac_lazy
-  :: BS.ByteString -- ^ key
-  -> BL.ByteString -- ^ text
-  -> BS.ByteString
-hmac_lazy mk@(BI.PS _ _ l) text =
-    let step1 = k <> BS.replicate (128 - lk) 0x00
-        step2 = BS.map (B.xor 0x36) step1
-        step3 = BL.fromStrict step2 <> text
-        step4 = hash_lazy step3
-        step5 = BS.map (B.xor 0x5C) step1
-        step6 = step5 <> step4
-    in  hash step6
+hmac mk@(BI.PS _ _ l) text
+    | sha512_arm_available =
+        let !inner = hash_arm_with ipad 128 text
+        in  hash_arm (opad <> inner)
+    | otherwise =
+        let !ipad_state = block_hash iv (prepare_schedule (parse_block ipad 0))
+            !inner = cat (process_with ipad_state 128 text)
+        in  hash (opad <> inner)
   where
+    !step1 = k <> BS.replicate (128 - lk) 0x00
+    !ipad  = BS.map (B.xor 0x36) step1
+    !opad  = BS.map (B.xor 0x5C) step1
     !(KeyAndLen k lk)
       | l > 128   = KeyAndLen (hash mk) 64
       | otherwise = KeyAndLen mk l
-
diff --git a/lib/Crypto/Hash/SHA512/Arm.hs b/lib/Crypto/Hash/SHA512/Arm.hs
new file mode 100644
--- /dev/null
+++ b/lib/Crypto/Hash/SHA512/Arm.hs
@@ -0,0 +1,127 @@
+{-# OPTIONS_HADDOCK hide #-}
+{-# LANGUAGE BangPatterns #-}
+
+-- |
+-- Module: Crypto.Hash.SHA512.Arm
+-- Copyright: (c) 2024 Jared Tobin
+-- License: MIT
+-- Maintainer: Jared Tobin <jared@ppad.tech>
+--
+-- ARM crypto extension support for SHA-512.
+
+module Crypto.Hash.SHA512.Arm (
+    sha512_arm_available
+  , hash_arm
+  , hash_arm_with
+  ) where
+
+import Control.Monad (unless, when)
+import qualified Data.Bits as B
+import qualified Data.ByteString as BS
+import qualified Data.ByteString.Internal as BI
+import qualified Data.ByteString.Unsafe as BU
+import Data.Word (Word8, Word64)
+import Foreign.Marshal.Alloc (allocaBytes)
+import Foreign.Ptr (Ptr, plusPtr)
+import Foreign.Storable (poke, peek)
+import Crypto.Hash.SHA512.Internal (unsafe_padding)
+import System.IO.Unsafe (unsafePerformIO)
+
+-- ffi -----------------------------------------------------------------------
+
+foreign import ccall unsafe "sha512_block_arm"
+  c_sha512_block :: Ptr Word64 -> Ptr Word8 -> IO ()
+
+foreign import ccall unsafe "sha512_arm_available"
+  c_sha512_arm_available :: IO Int
+
+-- utilities -----------------------------------------------------------------
+
+fi :: (Integral a, Num b) => a -> b
+fi = fromIntegral
+{-# INLINE fi #-}
+
+-- api -----------------------------------------------------------------------
+
+sha512_arm_available :: Bool
+sha512_arm_available = unsafePerformIO c_sha512_arm_available /= 0
+{-# NOINLINE sha512_arm_available #-}
+
+hash_arm :: BS.ByteString -> BS.ByteString
+hash_arm = hash_arm_with mempty 0
+
+-- | Hash with optional 128-byte prefix and extra length for padding.
+hash_arm_with
+  :: BS.ByteString  -- ^ optional 128-byte prefix (or empty)
+  -> Word64         -- ^ extra length to add for padding
+  -> BS.ByteString  -- ^ message
+  -> BS.ByteString
+hash_arm_with prefix el m@(BI.PS fp off l) = unsafePerformIO $
+    allocaBytes 64 $ \state -> do
+      poke_iv state
+      -- process prefix block if provided
+      unless (BS.null prefix) $ do
+        let BI.PS pfp poff _ = prefix
+        BI.unsafeWithForeignPtr pfp $ \src ->
+          c_sha512_block state (src `plusPtr` poff)
+
+      go state 0
+
+      let !remaining@(BI.PS _ _ rlen) = BU.unsafeDrop (l - l `rem` 128) m
+          BI.PS padfp padoff _ = unsafe_padding remaining (el + fi l)
+      BI.unsafeWithForeignPtr padfp $ \src -> do
+        c_sha512_block state (src `plusPtr` padoff)
+        when (rlen >= 112) $
+          c_sha512_block state (src `plusPtr` (padoff + 128))
+
+      read_state state
+  where
+    go !state !j
+      | j + 128 <= l = do
+          BI.unsafeWithForeignPtr fp $ \src ->
+            c_sha512_block state (src `plusPtr` (off + j))
+          go state (j + 128)
+      | otherwise = pure ()
+
+-- arm helpers ---------------------------------------------------------------
+
+poke_iv :: Ptr Word64 -> IO ()
+poke_iv !state = do
+  poke state                (0x6a09e667f3bcc908 :: Word64)
+  poke (state `plusPtr` 8)  (0xbb67ae8584caa73b :: Word64)
+  poke (state `plusPtr` 16) (0x3c6ef372fe94f82b :: Word64)
+  poke (state `plusPtr` 24) (0xa54ff53a5f1d36f1 :: Word64)
+  poke (state `plusPtr` 32) (0x510e527fade682d1 :: Word64)
+  poke (state `plusPtr` 40) (0x9b05688c2b3e6c1f :: Word64)
+  poke (state `plusPtr` 48) (0x1f83d9abfb41bd6b :: Word64)
+  poke (state `plusPtr` 56) (0x5be0cd19137e2179 :: Word64)
+
+read_state :: Ptr Word64 -> IO BS.ByteString
+read_state !state = BI.create 64 $ \out -> do
+  h0 <- peek state                :: IO Word64
+  h1 <- peek (state `plusPtr` 8)  :: IO Word64
+  h2 <- peek (state `plusPtr` 16) :: IO Word64
+  h3 <- peek (state `plusPtr` 24) :: IO Word64
+  h4 <- peek (state `plusPtr` 32) :: IO Word64
+  h5 <- peek (state `plusPtr` 40) :: IO Word64
+  h6 <- peek (state `plusPtr` 48) :: IO Word64
+  h7 <- peek (state `plusPtr` 56) :: IO Word64
+  poke_word64be out 0 h0
+  poke_word64be out 8 h1
+  poke_word64be out 16 h2
+  poke_word64be out 24 h3
+  poke_word64be out 32 h4
+  poke_word64be out 40 h5
+  poke_word64be out 48 h6
+  poke_word64be out 56 h7
+
+poke_word64be :: Ptr Word8 -> Int -> Word64 -> IO ()
+poke_word64be !p !off !w = do
+  poke (p `plusPtr` off)       (fi (w `B.unsafeShiftR` 56) :: Word8)
+  poke (p `plusPtr` (off + 1)) (fi (w `B.unsafeShiftR` 48) :: Word8)
+  poke (p `plusPtr` (off + 2)) (fi (w `B.unsafeShiftR` 40) :: Word8)
+  poke (p `plusPtr` (off + 3)) (fi (w `B.unsafeShiftR` 32) :: Word8)
+  poke (p `plusPtr` (off + 4)) (fi (w `B.unsafeShiftR` 24) :: Word8)
+  poke (p `plusPtr` (off + 5)) (fi (w `B.unsafeShiftR` 16) :: Word8)
+  poke (p `plusPtr` (off + 6)) (fi (w `B.unsafeShiftR` 8) :: Word8)
+  poke (p `plusPtr` (off + 7)) (fi w :: Word8)
diff --git a/lib/Crypto/Hash/SHA512/Internal.hs b/lib/Crypto/Hash/SHA512/Internal.hs
new file mode 100644
--- /dev/null
+++ b/lib/Crypto/Hash/SHA512/Internal.hs
@@ -0,0 +1,428 @@
+{-# OPTIONS_HADDOCK hide #-}
+{-# LANGUAGE BangPatterns #-}
+{-# LANGUAGE RecordWildCards #-}
+
+-- |
+-- Module: Crypto.Hash.SHA512.Internal
+-- Copyright: (c) 2024 Jared Tobin
+-- License: MIT
+-- Maintainer: Jared Tobin <jared@ppad.tech>
+--
+-- SHA-512 internals.
+
+module Crypto.Hash.SHA512.Internal (
+    Registers(..)
+  , Block(..)
+  , Schedule(..)
+
+  , iv
+  , block_hash
+  , prepare_schedule
+  , parse_block
+  , cat
+  , unsafe_hash_alg
+  , unsafe_parse
+  , unsafe_padding
+
+  , WSPair(..)
+  , unsafe_word64be
+  , unsafe_parseWsPair
+  ) where
+
+import qualified Data.Bits as B
+import Data.Bits ((.|.), (.&.))
+import qualified Data.ByteString as BS
+import qualified Data.ByteString.Builder as BSB
+import qualified Data.ByteString.Builder.Extra as BE
+import qualified Data.ByteString.Internal as BI
+import qualified Data.ByteString.Unsafe as BU
+import Data.Word (Word8, Word64)
+import Foreign.ForeignPtr (plusForeignPtr)
+import Foreign.Marshal.Utils (copyBytes, fillBytes)
+import Foreign.Ptr (Ptr, plusPtr)
+import Foreign.Storable (poke)
+
+-- preliminary utils ---------------------------------------------------------
+
+fi :: (Integral a, Num b) => a -> b
+fi = fromIntegral
+{-# INLINE fi #-}
+
+-- parse strict ByteString in BE order to Word64
+--
+-- invariant:
+--   the input bytestring is at least 64 bits in length
+unsafe_word64be :: BS.ByteString -> Word64
+unsafe_word64be s =
+  (fi (s `BU.unsafeIndex` 0) `B.unsafeShiftL` 56) .|.
+  (fi (s `BU.unsafeIndex` 1) `B.unsafeShiftL` 48) .|.
+  (fi (s `BU.unsafeIndex` 2) `B.unsafeShiftL` 40) .|.
+  (fi (s `BU.unsafeIndex` 3) `B.unsafeShiftL` 32) .|.
+  (fi (s `BU.unsafeIndex` 4) `B.unsafeShiftL` 24) .|.
+  (fi (s `BU.unsafeIndex` 5) `B.unsafeShiftL` 16) .|.
+  (fi (s `BU.unsafeIndex` 6) `B.unsafeShiftL`  8) .|.
+  (fi (s `BU.unsafeIndex` 7) )
+{-# INLINE unsafe_word64be #-}
+
+data WSPair = WSPair {-# UNPACK #-} !Word64 {-# UNPACK #-} !BS.ByteString
+
+-- variant of Data.ByteString.splitAt that behaves like an incremental
+-- Word64 parser
+--
+-- invariant:
+--   the input bytestring is at least 64 bits in length
+unsafe_parseWsPair :: BS.ByteString -> WSPair
+unsafe_parseWsPair (BI.BS x l) =
+  WSPair (unsafe_word64be (BI.BS x 8)) (BI.BS (plusForeignPtr x 8) (l - 8))
+{-# INLINE unsafe_parseWsPair #-}
+
+-- builder realization strategy
+
+to_strict_small :: BSB.Builder -> BS.ByteString
+to_strict_small = BS.toStrict . BE.toLazyByteStringWith
+  (BE.safeStrategy 128 BE.smallChunkSize) mempty
+
+-- functions and constants ---------------------------------------------------
+-- https://datatracker.ietf.org/doc/html/rfc6234#section-5.1
+
+ch :: Word64 -> Word64 -> Word64 -> Word64
+ch x y z = (x .&. y) `B.xor` (B.complement x .&. z)
+{-# INLINE ch #-}
+
+maj :: Word64 -> Word64 -> Word64 -> Word64
+maj x y z = (x .&. (y .|. z)) .|. (y .&. z)
+{-# INLINE maj #-}
+
+bsig0 :: Word64 -> Word64
+bsig0 x = B.rotateR x 28 `B.xor` B.rotateR x 34 `B.xor` B.rotateR x 39
+{-# INLINE bsig0 #-}
+
+bsig1 :: Word64 -> Word64
+bsig1 x = B.rotateR x 14 `B.xor` B.rotateR x 18 `B.xor` B.rotateR x 41
+{-# INLINE bsig1 #-}
+
+ssig0 :: Word64 -> Word64
+ssig0 x = B.rotateR x 1 `B.xor` B.rotateR x 8 `B.xor` B.unsafeShiftR x 7
+{-# INLINE ssig0 #-}
+
+ssig1 :: Word64 -> Word64
+ssig1 x = B.rotateR x 19 `B.xor` B.rotateR x 61 `B.xor` B.unsafeShiftR x 6
+{-# INLINE ssig1 #-}
+
+data Schedule = Schedule {
+    w00 :: !Word64, w01 :: !Word64, w02 :: !Word64, w03 :: !Word64
+  , w04 :: !Word64, w05 :: !Word64, w06 :: !Word64, w07 :: !Word64
+  , w08 :: !Word64, w09 :: !Word64, w10 :: !Word64, w11 :: !Word64
+  , w12 :: !Word64, w13 :: !Word64, w14 :: !Word64, w15 :: !Word64
+  , w16 :: !Word64, w17 :: !Word64, w18 :: !Word64, w19 :: !Word64
+  , w20 :: !Word64, w21 :: !Word64, w22 :: !Word64, w23 :: !Word64
+  , w24 :: !Word64, w25 :: !Word64, w26 :: !Word64, w27 :: !Word64
+  , w28 :: !Word64, w29 :: !Word64, w30 :: !Word64, w31 :: !Word64
+  , w32 :: !Word64, w33 :: !Word64, w34 :: !Word64, w35 :: !Word64
+  , w36 :: !Word64, w37 :: !Word64, w38 :: !Word64, w39 :: !Word64
+  , w40 :: !Word64, w41 :: !Word64, w42 :: !Word64, w43 :: !Word64
+  , w44 :: !Word64, w45 :: !Word64, w46 :: !Word64, w47 :: !Word64
+  , w48 :: !Word64, w49 :: !Word64, w50 :: !Word64, w51 :: !Word64
+  , w52 :: !Word64, w53 :: !Word64, w54 :: !Word64, w55 :: !Word64
+  , w56 :: !Word64, w57 :: !Word64, w58 :: !Word64, w59 :: !Word64
+  , w60 :: !Word64, w61 :: !Word64, w62 :: !Word64, w63 :: !Word64
+  , w64 :: !Word64, w65 :: !Word64, w66 :: !Word64, w67 :: !Word64
+  , w68 :: !Word64, w69 :: !Word64, w70 :: !Word64, w71 :: !Word64
+  , w72 :: !Word64, w73 :: !Word64, w74 :: !Word64, w75 :: !Word64
+  , w76 :: !Word64, w77 :: !Word64, w78 :: !Word64, w79 :: !Word64
+  }
+
+-- initialization ------------------------------------------------------------
+-- https://datatracker.ietf.org/doc/html/rfc6234#section-6.1
+
+data Registers = Registers {
+    h0 :: !Word64, h1 :: !Word64, h2 :: !Word64, h3 :: !Word64
+  , h4 :: !Word64, h5 :: !Word64, h6 :: !Word64, h7 :: !Word64
+  }
+
+-- first 64 bits of the fractional parts of the square roots of the
+-- first eight primes
+iv :: Registers
+iv = Registers
+  0x6a09e667f3bcc908 0xbb67ae8584caa73b 0x3c6ef372fe94f82b 0xa54ff53a5f1d36f1
+  0x510e527fade682d1 0x9b05688c2b3e6c1f 0x1f83d9abfb41bd6b 0x5be0cd19137e2179
+
+-- processing ----------------------------------------------------------------
+-- https://datatracker.ietf.org/doc/html/rfc6234#section-6.2
+
+data Block = Block {
+    m00 :: !Word64, m01 :: !Word64, m02 :: !Word64, m03 :: !Word64
+  , m04 :: !Word64, m05 :: !Word64, m06 :: !Word64, m07 :: !Word64
+  , m08 :: !Word64, m09 :: !Word64, m10 :: !Word64, m11 :: !Word64
+  , m12 :: !Word64, m13 :: !Word64, m14 :: !Word64, m15 :: !Word64
+  }
+
+-- given a bytestring and offset, parse word64. length not checked.
+word64be :: BS.ByteString -> Int -> Word64
+word64be bs off =
+  (fi (bs `BU.unsafeIndex` off)       `B.unsafeShiftL` 56) .|.
+  (fi (bs `BU.unsafeIndex` (off + 1)) `B.unsafeShiftL` 48) .|.
+  (fi (bs `BU.unsafeIndex` (off + 2)) `B.unsafeShiftL` 40) .|.
+  (fi (bs `BU.unsafeIndex` (off + 3)) `B.unsafeShiftL` 32) .|.
+  (fi (bs `BU.unsafeIndex` (off + 4)) `B.unsafeShiftL` 24) .|.
+  (fi (bs `BU.unsafeIndex` (off + 5)) `B.unsafeShiftL` 16) .|.
+  (fi (bs `BU.unsafeIndex` (off + 6)) `B.unsafeShiftL`  8) .|.
+  (fi (bs `BU.unsafeIndex` (off + 7)))
+{-# INLINE word64be #-}
+
+-- given a bytestring and block offset, parse block. length not checked.
+parse_block :: BS.ByteString -> Int -> Block
+parse_block bs m = Block
+  (word64be bs m)
+  (word64be bs (m + 8))
+  (word64be bs (m + 16))
+  (word64be bs (m + 24))
+  (word64be bs (m + 32))
+  (word64be bs (m + 40))
+  (word64be bs (m + 48))
+  (word64be bs (m + 56))
+  (word64be bs (m + 64))
+  (word64be bs (m + 72))
+  (word64be bs (m + 80))
+  (word64be bs (m + 88))
+  (word64be bs (m + 96))
+  (word64be bs (m + 104))
+  (word64be bs (m + 112))
+  (word64be bs (m + 120))
+{-# INLINE parse_block #-}
+
+-- parse strict bytestring to block
+--
+-- invariant:
+--   the input bytestring is exactly 1024 bits long
+unsafe_parse :: BS.ByteString -> Block
+unsafe_parse bs =
+  let !(WSPair m00 t00) = unsafe_parseWsPair bs
+      !(WSPair m01 t01) = unsafe_parseWsPair t00
+      !(WSPair m02 t02) = unsafe_parseWsPair t01
+      !(WSPair m03 t03) = unsafe_parseWsPair t02
+      !(WSPair m04 t04) = unsafe_parseWsPair t03
+      !(WSPair m05 t05) = unsafe_parseWsPair t04
+      !(WSPair m06 t06) = unsafe_parseWsPair t05
+      !(WSPair m07 t07) = unsafe_parseWsPair t06
+      !(WSPair m08 t08) = unsafe_parseWsPair t07
+      !(WSPair m09 t09) = unsafe_parseWsPair t08
+      !(WSPair m10 t10) = unsafe_parseWsPair t09
+      !(WSPair m11 t11) = unsafe_parseWsPair t10
+      !(WSPair m12 t12) = unsafe_parseWsPair t11
+      !(WSPair m13 t13) = unsafe_parseWsPair t12
+      !(WSPair m14 t14) = unsafe_parseWsPair t13
+      !(WSPair m15 _)   = unsafe_parseWsPair t14
+  in  Block {..}
+
+-- RFC 6234 6.2 step 1
+prepare_schedule :: Block -> Schedule
+prepare_schedule Block {..} = Schedule {..} where
+  w00 = m00; w01 = m01; w02 = m02; w03 = m03
+  w04 = m04; w05 = m05; w06 = m06; w07 = m07
+  w08 = m08; w09 = m09; w10 = m10; w11 = m11
+  w12 = m12; w13 = m13; w14 = m14; w15 = m15
+  w16 = ssig1 w14 + w09 + ssig0 w01 + w00
+  w17 = ssig1 w15 + w10 + ssig0 w02 + w01
+  w18 = ssig1 w16 + w11 + ssig0 w03 + w02
+  w19 = ssig1 w17 + w12 + ssig0 w04 + w03
+  w20 = ssig1 w18 + w13 + ssig0 w05 + w04
+  w21 = ssig1 w19 + w14 + ssig0 w06 + w05
+  w22 = ssig1 w20 + w15 + ssig0 w07 + w06
+  w23 = ssig1 w21 + w16 + ssig0 w08 + w07
+  w24 = ssig1 w22 + w17 + ssig0 w09 + w08
+  w25 = ssig1 w23 + w18 + ssig0 w10 + w09
+  w26 = ssig1 w24 + w19 + ssig0 w11 + w10
+  w27 = ssig1 w25 + w20 + ssig0 w12 + w11
+  w28 = ssig1 w26 + w21 + ssig0 w13 + w12
+  w29 = ssig1 w27 + w22 + ssig0 w14 + w13
+  w30 = ssig1 w28 + w23 + ssig0 w15 + w14
+  w31 = ssig1 w29 + w24 + ssig0 w16 + w15
+  w32 = ssig1 w30 + w25 + ssig0 w17 + w16
+  w33 = ssig1 w31 + w26 + ssig0 w18 + w17
+  w34 = ssig1 w32 + w27 + ssig0 w19 + w18
+  w35 = ssig1 w33 + w28 + ssig0 w20 + w19
+  w36 = ssig1 w34 + w29 + ssig0 w21 + w20
+  w37 = ssig1 w35 + w30 + ssig0 w22 + w21
+  w38 = ssig1 w36 + w31 + ssig0 w23 + w22
+  w39 = ssig1 w37 + w32 + ssig0 w24 + w23
+  w40 = ssig1 w38 + w33 + ssig0 w25 + w24
+  w41 = ssig1 w39 + w34 + ssig0 w26 + w25
+  w42 = ssig1 w40 + w35 + ssig0 w27 + w26
+  w43 = ssig1 w41 + w36 + ssig0 w28 + w27
+  w44 = ssig1 w42 + w37 + ssig0 w29 + w28
+  w45 = ssig1 w43 + w38 + ssig0 w30 + w29
+  w46 = ssig1 w44 + w39 + ssig0 w31 + w30
+  w47 = ssig1 w45 + w40 + ssig0 w32 + w31
+  w48 = ssig1 w46 + w41 + ssig0 w33 + w32
+  w49 = ssig1 w47 + w42 + ssig0 w34 + w33
+  w50 = ssig1 w48 + w43 + ssig0 w35 + w34
+  w51 = ssig1 w49 + w44 + ssig0 w36 + w35
+  w52 = ssig1 w50 + w45 + ssig0 w37 + w36
+  w53 = ssig1 w51 + w46 + ssig0 w38 + w37
+  w54 = ssig1 w52 + w47 + ssig0 w39 + w38
+  w55 = ssig1 w53 + w48 + ssig0 w40 + w39
+  w56 = ssig1 w54 + w49 + ssig0 w41 + w40
+  w57 = ssig1 w55 + w50 + ssig0 w42 + w41
+  w58 = ssig1 w56 + w51 + ssig0 w43 + w42
+  w59 = ssig1 w57 + w52 + ssig0 w44 + w43
+  w60 = ssig1 w58 + w53 + ssig0 w45 + w44
+  w61 = ssig1 w59 + w54 + ssig0 w46 + w45
+  w62 = ssig1 w60 + w55 + ssig0 w47 + w46
+  w63 = ssig1 w61 + w56 + ssig0 w48 + w47
+  w64 = ssig1 w62 + w57 + ssig0 w49 + w48
+  w65 = ssig1 w63 + w58 + ssig0 w50 + w49
+  w66 = ssig1 w64 + w59 + ssig0 w51 + w50
+  w67 = ssig1 w65 + w60 + ssig0 w52 + w51
+  w68 = ssig1 w66 + w61 + ssig0 w53 + w52
+  w69 = ssig1 w67 + w62 + ssig0 w54 + w53
+  w70 = ssig1 w68 + w63 + ssig0 w55 + w54
+  w71 = ssig1 w69 + w64 + ssig0 w56 + w55
+  w72 = ssig1 w70 + w65 + ssig0 w57 + w56
+  w73 = ssig1 w71 + w66 + ssig0 w58 + w57
+  w74 = ssig1 w72 + w67 + ssig0 w59 + w58
+  w75 = ssig1 w73 + w68 + ssig0 w60 + w59
+  w76 = ssig1 w74 + w69 + ssig0 w61 + w60
+  w77 = ssig1 w75 + w70 + ssig0 w62 + w61
+  w78 = ssig1 w76 + w71 + ssig0 w63 + w62
+  w79 = ssig1 w77 + w72 + ssig0 w64 + w63
+
+-- RFC 6234 6.2 steps 2, 3, 4
+block_hash :: Registers -> Schedule -> Registers
+block_hash r00@Registers {..} Schedule {..} =
+  -- constants are the first 64 bits of the fractional parts of the
+  -- cube roots of the first eighty prime numbers
+  let r01 = step r00 0x428a2f98d728ae22 w00
+      r02 = step r01 0x7137449123ef65cd w01
+      r03 = step r02 0xb5c0fbcfec4d3b2f w02
+      r04 = step r03 0xe9b5dba58189dbbc w03
+      r05 = step r04 0x3956c25bf348b538 w04
+      r06 = step r05 0x59f111f1b605d019 w05
+      r07 = step r06 0x923f82a4af194f9b w06
+      r08 = step r07 0xab1c5ed5da6d8118 w07
+      r09 = step r08 0xd807aa98a3030242 w08
+      r10 = step r09 0x12835b0145706fbe w09
+      r11 = step r10 0x243185be4ee4b28c w10
+      r12 = step r11 0x550c7dc3d5ffb4e2 w11
+      r13 = step r12 0x72be5d74f27b896f w12
+      r14 = step r13 0x80deb1fe3b1696b1 w13
+      r15 = step r14 0x9bdc06a725c71235 w14
+      r16 = step r15 0xc19bf174cf692694 w15
+      r17 = step r16 0xe49b69c19ef14ad2 w16
+      r18 = step r17 0xefbe4786384f25e3 w17
+      r19 = step r18 0x0fc19dc68b8cd5b5 w18
+      r20 = step r19 0x240ca1cc77ac9c65 w19
+      r21 = step r20 0x2de92c6f592b0275 w20
+      r22 = step r21 0x4a7484aa6ea6e483 w21
+      r23 = step r22 0x5cb0a9dcbd41fbd4 w22
+      r24 = step r23 0x76f988da831153b5 w23
+      r25 = step r24 0x983e5152ee66dfab w24
+      r26 = step r25 0xa831c66d2db43210 w25
+      r27 = step r26 0xb00327c898fb213f w26
+      r28 = step r27 0xbf597fc7beef0ee4 w27
+      r29 = step r28 0xc6e00bf33da88fc2 w28
+      r30 = step r29 0xd5a79147930aa725 w29
+      r31 = step r30 0x06ca6351e003826f w30
+      r32 = step r31 0x142929670a0e6e70 w31
+      r33 = step r32 0x27b70a8546d22ffc w32
+      r34 = step r33 0x2e1b21385c26c926 w33
+      r35 = step r34 0x4d2c6dfc5ac42aed w34
+      r36 = step r35 0x53380d139d95b3df w35
+      r37 = step r36 0x650a73548baf63de w36
+      r38 = step r37 0x766a0abb3c77b2a8 w37
+      r39 = step r38 0x81c2c92e47edaee6 w38
+      r40 = step r39 0x92722c851482353b w39
+      r41 = step r40 0xa2bfe8a14cf10364 w40
+      r42 = step r41 0xa81a664bbc423001 w41
+      r43 = step r42 0xc24b8b70d0f89791 w42
+      r44 = step r43 0xc76c51a30654be30 w43
+      r45 = step r44 0xd192e819d6ef5218 w44
+      r46 = step r45 0xd69906245565a910 w45
+      r47 = step r46 0xf40e35855771202a w46
+      r48 = step r47 0x106aa07032bbd1b8 w47
+      r49 = step r48 0x19a4c116b8d2d0c8 w48
+      r50 = step r49 0x1e376c085141ab53 w49
+      r51 = step r50 0x2748774cdf8eeb99 w50
+      r52 = step r51 0x34b0bcb5e19b48a8 w51
+      r53 = step r52 0x391c0cb3c5c95a63 w52
+      r54 = step r53 0x4ed8aa4ae3418acb w53
+      r55 = step r54 0x5b9cca4f7763e373 w54
+      r56 = step r55 0x682e6ff3d6b2b8a3 w55
+      r57 = step r56 0x748f82ee5defb2fc w56
+      r58 = step r57 0x78a5636f43172f60 w57
+      r59 = step r58 0x84c87814a1f0ab72 w58
+      r60 = step r59 0x8cc702081a6439ec w59
+      r61 = step r60 0x90befffa23631e28 w60
+      r62 = step r61 0xa4506cebde82bde9 w61
+      r63 = step r62 0xbef9a3f7b2c67915 w62
+      r64 = step r63 0xc67178f2e372532b w63
+      r65 = step r64 0xca273eceea26619c w64
+      r66 = step r65 0xd186b8c721c0c207 w65
+      r67 = step r66 0xeada7dd6cde0eb1e w66
+      r68 = step r67 0xf57d4f7fee6ed178 w67
+      r69 = step r68 0x06f067aa72176fba w68
+      r70 = step r69 0x0a637dc5a2c898a6 w69
+      r71 = step r70 0x113f9804bef90dae w70
+      r72 = step r71 0x1b710b35131c471b w71
+      r73 = step r72 0x28db77f523047d84 w72
+      r74 = step r73 0x32caab7b40c72493 w73
+      r75 = step r74 0x3c9ebe0a15c9bebc w74
+      r76 = step r75 0x431d67c49c100d4c w75
+      r77 = step r76 0x4cc5d4becb3e42b6 w76
+      r78 = step r77 0x597f299cfc657e2a w77
+      r79 = step r78 0x5fcb6fab3ad6faec w78
+      r80 = step r79 0x6c44198c4a475817 w79
+      !(Registers a b c d e f g h) = r80
+  in  Registers
+        (a + h0) (b + h1) (c + h2) (d + h3)
+        (e + h4) (f + h5) (g + h6) (h + h7)
+
+step :: Registers -> Word64 -> Word64 -> Registers
+step (Registers a b c d e f g h) k w =
+  let t1 = h + bsig1 e + ch e f g + k + w
+      t2 = bsig0 a + maj a b c
+  in  Registers (t1 + t2) a b c (d + t1) e f g
+{-# INLINE step #-}
+
+-- RFC 6234 6.2 block pipeline
+--
+-- invariant:
+--   the input bytestring is exactly 1024 bits in length
+unsafe_hash_alg :: Registers -> BS.ByteString -> Registers
+unsafe_hash_alg rs bs = block_hash rs (prepare_schedule (unsafe_parse bs))
+
+-- register concatenation
+cat :: Registers -> BS.ByteString
+cat Registers {..} = to_strict_small $
+     BSB.word64BE h0 <> BSB.word64BE h1 <> BSB.word64BE h2 <> BSB.word64BE h3
+  <> BSB.word64BE h4 <> BSB.word64BE h5 <> BSB.word64BE h6 <> BSB.word64BE h7
+
+-- RFC 6234 4.1 message padding
+unsafe_padding :: BS.ByteString -> Word64 -> BS.ByteString
+unsafe_padding (BI.PS fp off r) len
+    | r < 112 = BI.unsafeCreate 128 $ \p -> do
+        BI.unsafeWithForeignPtr fp $ \src ->
+          copyBytes p (src `plusPtr` off) r
+        poke (p `plusPtr` r) (0x80 :: Word8)
+        fillBytes (p `plusPtr` (r + 1)) 0 (111 - r)
+        poke_word64be (p `plusPtr` 112) 0
+        poke_word64be (p `plusPtr` 120) (len * 8)
+    | otherwise = BI.unsafeCreate 256 $ \p -> do
+        BI.unsafeWithForeignPtr fp $ \src ->
+          copyBytes p (src `plusPtr` off) r
+        poke (p `plusPtr` r) (0x80 :: Word8)
+        fillBytes (p `plusPtr` (r + 1)) 0 (127 - r)
+        fillBytes (p `plusPtr` 128) 0 112
+        poke_word64be (p `plusPtr` 240) 0
+        poke_word64be (p `plusPtr` 248) (len * 8)
+  where
+    poke_word64be :: Ptr Word8 -> Word64 -> IO ()
+    poke_word64be p w = do
+      poke p               (fi (w `B.unsafeShiftR` 56) :: Word8)
+      poke (p `plusPtr` 1) (fi (w `B.unsafeShiftR` 48) :: Word8)
+      poke (p `plusPtr` 2) (fi (w `B.unsafeShiftR` 40) :: Word8)
+      poke (p `plusPtr` 3) (fi (w `B.unsafeShiftR` 32) :: Word8)
+      poke (p `plusPtr` 4) (fi (w `B.unsafeShiftR` 24) :: Word8)
+      poke (p `plusPtr` 5) (fi (w `B.unsafeShiftR` 16) :: Word8)
+      poke (p `plusPtr` 6) (fi (w `B.unsafeShiftR`  8) :: Word8)
+      poke (p `plusPtr` 7) (fi w                       :: Word8)
diff --git a/lib/Crypto/Hash/SHA512/Lazy.hs b/lib/Crypto/Hash/SHA512/Lazy.hs
new file mode 100644
--- /dev/null
+++ b/lib/Crypto/Hash/SHA512/Lazy.hs
@@ -0,0 +1,182 @@
+{-# OPTIONS_HADDOCK hide #-}
+{-# LANGUAGE BangPatterns #-}
+{-# LANGUAGE ViewPatterns #-}
+
+-- |
+-- Module: Crypto.Hash.SHA512.Lazy
+-- Copyright: (c) 2024 Jared Tobin
+-- License: MIT
+-- Maintainer: Jared Tobin <jared@ppad.tech>
+--
+-- Pure SHA-512 and HMAC-SHA512 implementations for lazy ByteStrings,
+-- as specified by RFC's
+-- [6234](https://datatracker.ietf.org/doc/html/rfc6234) and
+-- [2104](https://datatracker.ietf.org/doc/html/rfc2104).
+
+module Crypto.Hash.SHA512.Lazy (
+  -- * SHA-512 message digest functions
+    hash_lazy
+
+  -- * SHA512-based MAC functions
+  , hmac_lazy
+  ) where
+
+import qualified Data.Bits as B
+import qualified Data.ByteString as BS
+import qualified Data.ByteString.Builder as BSB
+import qualified Data.ByteString.Builder.Extra as BE
+import qualified Data.ByteString.Internal as BI
+import qualified Data.ByteString.Lazy as BL
+import qualified Data.ByteString.Lazy.Internal as BLI
+import Data.Word (Word64)
+import Foreign.ForeignPtr (plusForeignPtr)
+import Crypto.Hash.SHA512.Internal
+
+-- preliminary utils
+
+-- keystroke saver
+fi :: (Integral a, Num b) => a -> b
+fi = fromIntegral
+{-# INLINE fi #-}
+
+-- utility types for more efficient ByteString management
+
+data SSPair = SSPair
+  {-# UNPACK #-} !BS.ByteString
+  {-# UNPACK #-} !BS.ByteString
+
+data SLPair = SLPair {-# UNPACK #-} !BS.ByteString !BL.ByteString
+
+-- unsafe version of splitAt that does no bounds checking
+--
+-- invariant:
+--   0 <= n <= l
+unsafe_splitAt :: Int -> BS.ByteString -> SSPair
+unsafe_splitAt n (BI.BS x l) =
+  SSPair (BI.BS x n) (BI.BS (plusForeignPtr x n) (l - n))
+
+-- variant of Data.ByteString.Lazy.splitAt that returns the initial
+-- component as a strict, unboxed ByteString
+splitAt128 :: BL.ByteString -> SLPair
+splitAt128 = splitAt' (128 :: Int) where
+  splitAt' _ BLI.Empty        = SLPair mempty BLI.Empty
+  splitAt' n (BLI.Chunk c@(BI.PS _ _ l) cs) =
+    if    n < l
+    then
+      -- n < BS.length c, so unsafe_splitAt is safe
+      let !(SSPair c0 c1) = unsafe_splitAt n c
+      in  SLPair c0 (BLI.Chunk c1 cs)
+    else
+      let SLPair cs' cs'' = splitAt' (n - l) cs
+      in  SLPair (c <> cs') cs''
+
+-- builder realization strategies
+
+to_strict :: BSB.Builder -> BS.ByteString
+to_strict = BL.toStrict . BSB.toLazyByteString
+
+-- message padding and parsing
+-- https://datatracker.ietf.org/doc/html/rfc6234#section-4.1
+
+-- k such that (l + 1 + k) mod 128 = 112
+sol :: Word64 -> Word64
+sol l =
+  let r = 112 - fi l `rem` 128 - 1 :: Integer -- fi prevents underflow
+  in  fi (if r < 0 then r + 128 else r)
+
+-- RFC 6234 4.1 (lazy)
+pad_lazy :: BL.ByteString -> BL.ByteString
+pad_lazy (BL.toChunks -> m) = BL.fromChunks (walk 0 m) where
+  walk !l bs = case bs of
+    (c:cs) -> c : walk (l + fi (BS.length c)) cs
+    [] -> padding l (sol l) (BSB.word8 0x80)
+
+  padding l k bs
+    | k == 0 =
+          pure
+        . to_strict
+          -- more efficient for small builder
+        $ bs <> BSB.word64BE 0x00 <> BSB.word64BE (l * 8)
+    | otherwise =
+        let nacc = bs <> BSB.word8 0x00
+        in  padding l (pred k) nacc
+
+-- | Compute a condensed representation of a lazy bytestring via
+--   SHA-512.
+--
+--   The 512-bit output digest is returned as a strict bytestring.
+--
+--   >>> hash_lazy "lazy bytestring input"
+--   "<strict 512-bit message digest>"
+hash_lazy :: BL.ByteString -> BS.ByteString
+hash_lazy bl = cat (go iv (pad_lazy bl)) where
+  go :: Registers -> BL.ByteString -> Registers
+  go !acc bs
+    | BL.null bs = acc
+    | otherwise = case splitAt128 bs of
+        SLPair c r -> go (unsafe_hash_alg acc c) r
+
+-- HMAC -----------------------------------------------------------------------
+-- https://datatracker.ietf.org/doc/html/rfc2104#section-2
+
+data KeyAndLen = KeyAndLen
+  {-# UNPACK #-} !BS.ByteString
+  {-# UNPACK #-} !Int
+
+-- | Produce a message authentication code for a lazy bytestring, based
+--   on the provided (strict, bytestring) key, via SHA-512.
+--
+--   The 512-bit MAC is returned as a strict bytestring.
+--
+--   Per RFC 2104, the key /should/ be a minimum of 64 bytes long. Keys
+--   exceeding 128 bytes in length will first be hashed (via SHA-512).
+--
+--   >>> hmac_lazy "strict bytestring key" "lazy bytestring input"
+--   "<strict 512-bit MAC>"
+hmac_lazy
+  :: BS.ByteString -- ^ key
+  -> BL.ByteString -- ^ text
+  -> BS.ByteString
+hmac_lazy mk@(BI.PS _ _ l) text =
+    let step1 = k <> BS.replicate (128 - lk) 0x00
+        step2 = BS.map (B.xor 0x36) step1
+        step3 = BL.fromStrict step2 <> text
+        step4 = hash_lazy step3
+        step5 = BS.map (B.xor 0x5C) step1
+        step6 = step5 <> step4
+    in  hash step6
+  where
+    hash bs = cat (go iv (pad bs)) where
+      go :: Registers -> BS.ByteString -> Registers
+      go !acc b
+        | BS.null b = acc
+        | otherwise = case unsafe_splitAt 128 b of
+            SSPair c r -> go (unsafe_hash_alg acc c) r
+
+      pad m@(BI.PS _ _ (fi -> len))
+          | len < 256 = to_strict_small padded
+          | otherwise = to_strict padded
+        where
+          padded = BSB.byteString m
+                <> fill (sol len) (BSB.word8 0x80)
+                <> BSB.word64BE 0x00
+                <> BSB.word64BE (len * 8)
+
+          to_strict_small = BL.toStrict . BE.toLazyByteStringWith
+            (BE.safeStrategy 256 BE.smallChunkSize) mempty
+
+          fill j !acc
+            | j `rem` 8 == 0 = loop64 j acc
+            | otherwise = loop8 j acc
+
+          loop64 j !acc
+            | j == 0 = acc
+            | otherwise = loop64 (j - 8) (acc <> BSB.word64BE 0x00)
+
+          loop8 j !acc
+            | j == 0 = acc
+            | otherwise = loop8 (pred j) (acc <> BSB.word8 0x00)
+
+    !(KeyAndLen k lk)
+      | l > 128   = KeyAndLen (hash mk) 64
+      | otherwise = KeyAndLen mk l
diff --git a/ppad-sha512.cabal b/ppad-sha512.cabal
--- a/ppad-sha512.cabal
+++ b/ppad-sha512.cabal
@@ -1,6 +1,6 @@
 cabal-version:      3.0
 name:               ppad-sha512
-version:            0.1.4
+version:            0.1.5
 synopsis:           The SHA-512 and HMAC-SHA512 algorithms
 license:            MIT
 license-file:       LICENSE
@@ -32,9 +32,16 @@
     ghc-options: -fllvm -O2
   exposed-modules:
       Crypto.Hash.SHA512
+      Crypto.Hash.SHA512.Arm
+      Crypto.Hash.SHA512.Internal
+      Crypto.Hash.SHA512.Lazy
   build-depends:
       base >= 4.9 && < 5
     , bytestring >= 0.9 && < 0.13
+  c-sources:
+      cbits/sha512_arm.c
+  if arch(aarch64)
+    cc-options: -march=armv8.2-a+sha3
 
 test-suite sha512-tests
   type:                exitcode-stdio-1.0
@@ -72,4 +79,22 @@
     , criterion
     , ppad-sha512
     , SHA
+
+benchmark sha512-weigh
+  type:                exitcode-stdio-1.0
+  default-language:    Haskell2010
+  hs-source-dirs:      bench
+  main-is:             Weight.hs
+
+  ghc-options:
+    -rtsopts -O2 -Wall -fno-warn-orphans
+  if flag(llvm)
+    ghc-options: -fllvm
+
+  build-depends:
+      base
+    , bytestring
+    , deepseq
+    , ppad-sha512
+    , weigh
 
