bip32 0.1.1 → 0.1.2
raw patch · 7 files changed
+20/−104 lines, 7 filesdep +bitcoin-hashdep −cryptonitedep −memoryPVP ok
version bump matches the API change (PVP)
Dependencies added: bitcoin-hash
Dependencies removed: cryptonite, memory
API changes (from Hackage documentation)
+ BIP32: [unIndex] :: Index -> Word32
Files
- CHANGELOG.md +7/−0
- README.md +1/−1
- bip32.cabal +3/−2
- js/index.compiled.js +1/−12
- lib/BIP32.hs +8/−11
- lib/BIP32/GHC.hs +0/−28
- lib/BIP32/GHCJS.hs +0/−50
CHANGELOG.md view
@@ -1,3 +1,10 @@+# Version 0.1.2++* Depend on `bitcoin-hash`.++* Export `unIndex`.++ # Version 0.1.1 * Builds with GHCJS.
README.md view
@@ -16,5 +16,5 @@ * If the `js/index.js` file changes, run `npx webpack` to regenerate `js/index.compiled.js` and commit both files to the repository. -* If the `package.json` file changes, run `nmp install -D` to get new JS+* If the `package.json` file changes, run `npm install -D` to get new JS dependencies, and then run `npx webpack` as above.
bip32.cabal view
@@ -1,6 +1,6 @@ cabal-version: 2.4 name: bip32-version: 0.1.1+version: 0.1.2 license: Apache-2.0 license-file: LICENSE extra-source-files: README.md CHANGELOG.md@@ -28,6 +28,7 @@ import: basic hs-source-dirs: lib exposed-modules: BIP32+ build-depends: bitcoin-hash if impl(ghcjs) other-modules: BIP32.GHCJS build-depends: ghcjs-base@@ -36,7 +37,7 @@ js/index.compiled.js else other-modules: BIP32.GHC- build-depends: cryptonite, memory, secp256k1-haskell+ build-depends: secp256k1-haskell test-suite test import: basic
js/index.compiled.js view
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t,r;this.length>e.length?(t=this,r=e):(t=e,r=this);for(var n=0;n<r.length;n++)this.words[n]=t.words[n]^r.words[n];if(this!==t)for(;n<t.length;n++)this.words[n]=t.words[n];return this.length=t.length,this.strip()},a.prototype.ixor=function(e){return n(0==(this.negative|e.negative)),this.iuxor(e)},a.prototype.xor=function(e){return this.length>e.length?this.clone().ixor(e):e.clone().ixor(this)},a.prototype.uxor=function(e){return this.length>e.length?this.clone().iuxor(e):e.clone().iuxor(this)},a.prototype.inotn=function(e){n("number"==typeof e&&e>=0);var t=0|Math.ceil(e/26),r=e%26;this._expand(t),r>0&&t--;for(var i=0;i<t;i++)this.words[i]=67108863&~this.words[i];return r>0&&(this.words[i]=~this.words[i]&67108863>>26-r),this.strip()},a.prototype.notn=function(e){return this.clone().inotn(e)},a.prototype.setn=function(e,t){n("number"==typeof e&&e>=0);var r=e/26|0,i=e%26;return this._expand(r+1),this.words[r]=t?this.words[r]|1<<i:this.words[r]&~(1<<i),this.strip()},a.prototype.iadd=function(e){var t,r,n;if(0!==this.negative&&0===e.negative)return this.negative=0,t=this.isub(e),this.negative^=1,this._normSign();if(0===this.negative&&0!==e.negative)return e.negative=0,t=this.isub(e),e.negative=1,t._normSign();this.length>e.length?(r=this,n=e):(r=e,n=this);for(var i=0,a=0;a<n.length;a++)t=(0|r.words[a])+(0|n.words[a])+i,this.words[a]=67108863&t,i=t>>>26;for(;0!==i&&a<r.length;a++)t=(0|r.words[a])+i,this.words[a]=67108863&t,i=t>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;a<r.length;a++)this.words[a]=r.words[a];return this},a.prototype.add=function(e){var t;return 0!==e.negative&&0===this.negative?(e.negative=0,t=this.sub(e),e.negative^=1,t):0===e.negative&&0!==this.negative?(this.negative=0,t=e.sub(this),this.negative=1,t):this.length>e.length?this.clone().iadd(e):e.clone().iadd(this)},a.prototype.isub=function(e){if(0!==e.negative){e.negative=0;var t=this.iadd(e);return e.negative=1,t._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(e),this.negative=1,this._normSign();var r,n,i=this.cmp(e);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=e):(r=e,n=this);for(var a=0,o=0;o<n.length;o++)a=(t=(0|r.words[o])-(0|n.words[o])+a)>>26,this.words[o]=67108863&t;for(;0!==a&&o<r.length;o++)a=(t=(0|r.words[o])+a)>>26,this.words[o]=67108863&t;if(0===a&&o<r.length&&r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this.length=Math.max(this.length,o),r!==this&&(this.negative=1),this.strip()},a.prototype.sub=function(e){return this.clone().isub(e)};var l=function(e,t,r){var n,i,a,o=e.words,f=t.words,s=r.words,d=0,h=0|o[0],u=8191&h,c=h>>>13,l=0|o[1],b=8191&l,p=l>>>13,g=0|o[2],m=8191&g,y=g>>>13,v=0|o[3],w=8191&v,_=v>>>13,M=0|o[4],S=8191&M,E=M>>>13,A=0|o[5],x=8191&A,k=A>>>13,R=0|o[6],I=8191&R,T=R>>>13,P=0|o[7],L=8191&P,O=P>>>13,B=0|o[8],j=8191&B,q=B>>>13,C=0|o[9],N=8191&C,z=C>>>13,U=0|f[0],D=8191&U,F=U>>>13,W=0|f[1],K=8191&W,Y=W>>>13,H=0|f[2],V=8191&H,Z=H>>>13,J=0|f[3],X=8191&J,G=J>>>13,$=0|f[4],Q=8191&$,ee=$>>>13,te=0|f[5],re=8191&te,ne=te>>>13,ie=0|f[6],ae=8191&ie,oe=ie>>>13,fe=0|f[7],se=8191&fe,de=fe>>>13,he=0|f[8],ue=8191&he,ce=he>>>13,le=0|f[9],be=8191&le,pe=le>>>13;r.negative=e.negative^t.negative,r.length=19;var ge=(d+(n=Math.imul(u,D))|0)+((8191&(i=(i=Math.imul(u,F))+Math.imul(c,D)|0))<<13)|0;d=((a=Math.imul(c,F))+(i>>>13)|0)+(ge>>>26)|0,ge&=67108863,n=Math.imul(b,D),i=(i=Math.imul(b,F))+Math.imul(p,D)|0,a=Math.imul(p,F);var me=(d+(n=n+Math.imul(u,K)|0)|0)+((8191&(i=(i=i+Math.imul(u,Y)|0)+Math.imul(c,K)|0))<<13)|0;d=((a=a+Math.imul(c,Y)|0)+(i>>>13)|0)+(me>>>26)|0,me&=67108863,n=Math.imul(m,D),i=(i=Math.imul(m,F))+Math.imul(y,D)|0,a=Math.imul(y,F),n=n+Math.imul(b,K)|0,i=(i=i+Math.imul(b,Y)|0)+Math.imul(p,K)|0,a=a+Math.imul(p,Y)|0;var ye=(d+(n=n+Math.imul(u,V)|0)|0)+((8191&(i=(i=i+Math.imul(u,Z)|0)+Math.imul(c,V)|0))<<13)|0;d=((a=a+Math.imul(c,Z)|0)+(i>>>13)|0)+(ye>>>26)|0,ye&=67108863,n=Math.imul(w,D),i=(i=Math.imul(w,F))+Math.imul(_,D)|0,a=Math.imul(_,F),n=n+Math.imul(m,K)|0,i=(i=i+Math.imul(m,Y)|0)+Math.imul(y,K)|0,a=a+Math.imul(y,Y)|0,n=n+Math.imul(b,V)|0,i=(i=i+Math.imul(b,Z)|0)+Math.imul(p,V)|0,a=a+Math.imul(p,Z)|0;var ve=(d+(n=n+Math.imul(u,X)|0)|0)+((8191&(i=(i=i+Math.imul(u,G)|0)+Math.imul(c,X)|0))<<13)|0;d=((a=a+Math.imul(c,G)|0)+(i>>>13)|0)+(ve>>>26)|0,ve&=67108863,n=Math.imul(S,D),i=(i=Math.imul(S,F))+Math.imul(E,D)|0,a=Math.imul(E,F),n=n+Math.imul(w,K)|0,i=(i=i+Math.imul(w,Y)|0)+Math.imul(_,K)|0,a=a+Math.imul(_,Y)|0,n=n+Math.imul(m,V)|0,i=(i=i+Math.imul(m,Z)|0)+Math.imul(y,V)|0,a=a+Math.imul(y,Z)|0,n=n+Math.imul(b,X)|0,i=(i=i+Math.imul(b,G)|0)+Math.imul(p,X)|0,a=a+Math.imul(p,G)|0;var we=(d+(n=n+Math.imul(u,Q)|0)|0)+((8191&(i=(i=i+Math.imul(u,ee)|0)+Math.imul(c,Q)|0))<<13)|0;d=((a=a+Math.imul(c,ee)|0)+(i>>>13)|0)+(we>>>26)|0,we&=67108863,n=Math.imul(x,D),i=(i=Math.imul(x,F))+Math.imul(k,D)|0,a=Math.imul(k,F),n=n+Math.imul(S,K)|0,i=(i=i+Math.imul(S,Y)|0)+Math.imul(E,K)|0,a=a+Math.imul(E,Y)|0,n=n+Math.imul(w,V)|0,i=(i=i+Math.imul(w,Z)|0)+Math.imul(_,V)|0,a=a+Math.imul(_,Z)|0,n=n+Math.imul(m,X)|0,i=(i=i+Math.imul(m,G)|0)+Math.imul(y,X)|0,a=a+Math.imul(y,G)|0,n=n+Math.imul(b,Q)|0,i=(i=i+Math.imul(b,ee)|0)+Math.imul(p,Q)|0,a=a+Math.imul(p,ee)|0;var _e=(d+(n=n+Math.imul(u,re)|0)|0)+((8191&(i=(i=i+Math.imul(u,ne)|0)+Math.imul(c,re)|0))<<13)|0;d=((a=a+Math.imul(c,ne)|0)+(i>>>13)|0)+(_e>>>26)|0,_e&=67108863,n=Math.imul(I,D),i=(i=Math.imul(I,F))+Math.imul(T,D)|0,a=Math.imul(T,F),n=n+Math.imul(x,K)|0,i=(i=i+Math.imul(x,Y)|0)+Math.imul(k,K)|0,a=a+Math.imul(k,Y)|0,n=n+Math.imul(S,V)|0,i=(i=i+Math.imul(S,Z)|0)+Math.imul(E,V)|0,a=a+Math.imul(E,Z)|0,n=n+Math.imul(w,X)|0,i=(i=i+Math.imul(w,G)|0)+Math.imul(_,X)|0,a=a+Math.imul(_,G)|0,n=n+Math.imul(m,Q)|0,i=(i=i+Math.imul(m,ee)|0)+Math.imul(y,Q)|0,a=a+Math.imul(y,ee)|0,n=n+Math.imul(b,re)|0,i=(i=i+Math.imul(b,ne)|0)+Math.imul(p,re)|0,a=a+Math.imul(p,ne)|0;var Me=(d+(n=n+Math.imul(u,ae)|0)|0)+((8191&(i=(i=i+Math.imul(u,oe)|0)+Math.imul(c,ae)|0))<<13)|0;d=((a=a+Math.imul(c,oe)|0)+(i>>>13)|0)+(Me>>>26)|0,Me&=67108863,n=Math.imul(L,D),i=(i=Math.imul(L,F))+Math.imul(O,D)|0,a=Math.imul(O,F),n=n+Math.imul(I,K)|0,i=(i=i+Math.imul(I,Y)|0)+Math.imul(T,K)|0,a=a+Math.imul(T,Y)|0,n=n+Math.imul(x,V)|0,i=(i=i+Math.imul(x,Z)|0)+Math.imul(k,V)|0,a=a+Math.imul(k,Z)|0,n=n+Math.imul(S,X)|0,i=(i=i+Math.imul(S,G)|0)+Math.imul(E,X)|0,a=a+Math.imul(E,G)|0,n=n+Math.imul(w,Q)|0,i=(i=i+Math.imul(w,ee)|0)+Math.imul(_,Q)|0,a=a+Math.imul(_,ee)|0,n=n+Math.imul(m,re)|0,i=(i=i+Math.imul(m,ne)|0)+Math.imul(y,re)|0,a=a+Math.imul(y,ne)|0,n=n+Math.imul(b,ae)|0,i=(i=i+Math.imul(b,oe)|0)+Math.imul(p,ae)|0,a=a+Math.imul(p,oe)|0;var Se=(d+(n=n+Math.imul(u,se)|0)|0)+((8191&(i=(i=i+Math.imul(u,de)|0)+Math.imul(c,se)|0))<<13)|0;d=((a=a+Math.imul(c,de)|0)+(i>>>13)|0)+(Se>>>26)|0,Se&=67108863,n=Math.imul(j,D),i=(i=Math.imul(j,F))+Math.imul(q,D)|0,a=Math.imul(q,F),n=n+Math.imul(L,K)|0,i=(i=i+Math.imul(L,Y)|0)+Math.imul(O,K)|0,a=a+Math.imul(O,Y)|0,n=n+Math.imul(I,V)|0,i=(i=i+Math.imul(I,Z)|0)+Math.imul(T,V)|0,a=a+Math.imul(T,Z)|0,n=n+Math.imul(x,X)|0,i=(i=i+Math.imul(x,G)|0)+Math.imul(k,X)|0,a=a+Math.imul(k,G)|0,n=n+Math.imul(S,Q)|0,i=(i=i+Math.imul(S,ee)|0)+Math.imul(E,Q)|0,a=a+Math.imul(E,ee)|0,n=n+Math.imul(w,re)|0,i=(i=i+Math.imul(w,ne)|0)+Math.imul(_,re)|0,a=a+Math.imul(_,ne)|0,n=n+Math.imul(m,ae)|0,i=(i=i+Math.imul(m,oe)|0)+Math.imul(y,ae)|0,a=a+Math.imul(y,oe)|0,n=n+Math.imul(b,se)|0,i=(i=i+Math.imul(b,de)|0)+Math.imul(p,se)|0,a=a+Math.imul(p,de)|0;var Ee=(d+(n=n+Math.imul(u,ue)|0)|0)+((8191&(i=(i=i+Math.imul(u,ce)|0)+Math.imul(c,ue)|0))<<13)|0;d=((a=a+Math.imul(c,ce)|0)+(i>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,n=Math.imul(N,D),i=(i=Math.imul(N,F))+Math.imul(z,D)|0,a=Math.imul(z,F),n=n+Math.imul(j,K)|0,i=(i=i+Math.imul(j,Y)|0)+Math.imul(q,K)|0,a=a+Math.imul(q,Y)|0,n=n+Math.imul(L,V)|0,i=(i=i+Math.imul(L,Z)|0)+Math.imul(O,V)|0,a=a+Math.imul(O,Z)|0,n=n+Math.imul(I,X)|0,i=(i=i+Math.imul(I,G)|0)+Math.imul(T,X)|0,a=a+Math.imul(T,G)|0,n=n+Math.imul(x,Q)|0,i=(i=i+Math.imul(x,ee)|0)+Math.imul(k,Q)|0,a=a+Math.imul(k,ee)|0,n=n+Math.imul(S,re)|0,i=(i=i+Math.imul(S,ne)|0)+Math.imul(E,re)|0,a=a+Math.imul(E,ne)|0,n=n+Math.imul(w,ae)|0,i=(i=i+Math.imul(w,oe)|0)+Math.imul(_,ae)|0,a=a+Math.imul(_,oe)|0,n=n+Math.imul(m,se)|0,i=(i=i+Math.imul(m,de)|0)+Math.imul(y,se)|0,a=a+Math.imul(y,de)|0,n=n+Math.imul(b,ue)|0,i=(i=i+Math.imul(b,ce)|0)+Math.imul(p,ue)|0,a=a+Math.imul(p,ce)|0;var Ae=(d+(n=n+Math.imul(u,be)|0)|0)+((8191&(i=(i=i+Math.imul(u,pe)|0)+Math.imul(c,be)|0))<<13)|0;d=((a=a+Math.imul(c,pe)|0)+(i>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,n=Math.imul(N,K),i=(i=Math.imul(N,Y))+Math.imul(z,K)|0,a=Math.imul(z,Y),n=n+Math.imul(j,V)|0,i=(i=i+Math.imul(j,Z)|0)+Math.imul(q,V)|0,a=a+Math.imul(q,Z)|0,n=n+Math.imul(L,X)|0,i=(i=i+Math.imul(L,G)|0)+Math.imul(O,X)|0,a=a+Math.imul(O,G)|0,n=n+Math.imul(I,Q)|0,i=(i=i+Math.imul(I,ee)|0)+Math.imul(T,Q)|0,a=a+Math.imul(T,ee)|0,n=n+Math.imul(x,re)|0,i=(i=i+Math.imul(x,ne)|0)+Math.imul(k,re)|0,a=a+Math.imul(k,ne)|0,n=n+Math.imul(S,ae)|0,i=(i=i+Math.imul(S,oe)|0)+Math.imul(E,ae)|0,a=a+Math.imul(E,oe)|0,n=n+Math.imul(w,se)|0,i=(i=i+Math.imul(w,de)|0)+Math.imul(_,se)|0,a=a+Math.imul(_,de)|0,n=n+Math.imul(m,ue)|0,i=(i=i+Math.imul(m,ce)|0)+Math.imul(y,ue)|0,a=a+Math.imul(y,ce)|0;var xe=(d+(n=n+Math.imul(b,be)|0)|0)+((8191&(i=(i=i+Math.imul(b,pe)|0)+Math.imul(p,be)|0))<<13)|0;d=((a=a+Math.imul(p,pe)|0)+(i>>>13)|0)+(xe>>>26)|0,xe&=67108863,n=Math.imul(N,V),i=(i=Math.imul(N,Z))+Math.imul(z,V)|0,a=Math.imul(z,Z),n=n+Math.imul(j,X)|0,i=(i=i+Math.imul(j,G)|0)+Math.imul(q,X)|0,a=a+Math.imul(q,G)|0,n=n+Math.imul(L,Q)|0,i=(i=i+Math.imul(L,ee)|0)+Math.imul(O,Q)|0,a=a+Math.imul(O,ee)|0,n=n+Math.imul(I,re)|0,i=(i=i+Math.imul(I,ne)|0)+Math.imul(T,re)|0,a=a+Math.imul(T,ne)|0,n=n+Math.imul(x,ae)|0,i=(i=i+Math.imul(x,oe)|0)+Math.imul(k,ae)|0,a=a+Math.imul(k,oe)|0,n=n+Math.imul(S,se)|0,i=(i=i+Math.imul(S,de)|0)+Math.imul(E,se)|0,a=a+Math.imul(E,de)|0,n=n+Math.imul(w,ue)|0,i=(i=i+Math.imul(w,ce)|0)+Math.imul(_,ue)|0,a=a+Math.imul(_,ce)|0;var ke=(d+(n=n+Math.imul(m,be)|0)|0)+((8191&(i=(i=i+Math.imul(m,pe)|0)+Math.imul(y,be)|0))<<13)|0;d=((a=a+Math.imul(y,pe)|0)+(i>>>13)|0)+(ke>>>26)|0,ke&=67108863,n=Math.imul(N,X),i=(i=Math.imul(N,G))+Math.imul(z,X)|0,a=Math.imul(z,G),n=n+Math.imul(j,Q)|0,i=(i=i+Math.imul(j,ee)|0)+Math.imul(q,Q)|0,a=a+Math.imul(q,ee)|0,n=n+Math.imul(L,re)|0,i=(i=i+Math.imul(L,ne)|0)+Math.imul(O,re)|0,a=a+Math.imul(O,ne)|0,n=n+Math.imul(I,ae)|0,i=(i=i+Math.imul(I,oe)|0)+Math.imul(T,ae)|0,a=a+Math.imul(T,oe)|0,n=n+Math.imul(x,se)|0,i=(i=i+Math.imul(x,de)|0)+Math.imul(k,se)|0,a=a+Math.imul(k,de)|0,n=n+Math.imul(S,ue)|0,i=(i=i+Math.imul(S,ce)|0)+Math.imul(E,ue)|0,a=a+Math.imul(E,ce)|0;var Re=(d+(n=n+Math.imul(w,be)|0)|0)+((8191&(i=(i=i+Math.imul(w,pe)|0)+Math.imul(_,be)|0))<<13)|0;d=((a=a+Math.imul(_,pe)|0)+(i>>>13)|0)+(Re>>>26)|0,Re&=67108863,n=Math.imul(N,Q),i=(i=Math.imul(N,ee))+Math.imul(z,Q)|0,a=Math.imul(z,ee),n=n+Math.imul(j,re)|0,i=(i=i+Math.imul(j,ne)|0)+Math.imul(q,re)|0,a=a+Math.imul(q,ne)|0,n=n+Math.imul(L,ae)|0,i=(i=i+Math.imul(L,oe)|0)+Math.imul(O,ae)|0,a=a+Math.imul(O,oe)|0,n=n+Math.imul(I,se)|0,i=(i=i+Math.imul(I,de)|0)+Math.imul(T,se)|0,a=a+Math.imul(T,de)|0,n=n+Math.imul(x,ue)|0,i=(i=i+Math.imul(x,ce)|0)+Math.imul(k,ue)|0,a=a+Math.imul(k,ce)|0;var Ie=(d+(n=n+Math.imul(S,be)|0)|0)+((8191&(i=(i=i+Math.imul(S,pe)|0)+Math.imul(E,be)|0))<<13)|0;d=((a=a+Math.imul(E,pe)|0)+(i>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,n=Math.imul(N,re),i=(i=Math.imul(N,ne))+Math.imul(z,re)|0,a=Math.imul(z,ne),n=n+Math.imul(j,ae)|0,i=(i=i+Math.imul(j,oe)|0)+Math.imul(q,ae)|0,a=a+Math.imul(q,oe)|0,n=n+Math.imul(L,se)|0,i=(i=i+Math.imul(L,de)|0)+Math.imul(O,se)|0,a=a+Math.imul(O,de)|0,n=n+Math.imul(I,ue)|0,i=(i=i+Math.imul(I,ce)|0)+Math.imul(T,ue)|0,a=a+Math.imul(T,ce)|0;var Te=(d+(n=n+Math.imul(x,be)|0)|0)+((8191&(i=(i=i+Math.imul(x,pe)|0)+Math.imul(k,be)|0))<<13)|0;d=((a=a+Math.imul(k,pe)|0)+(i>>>13)|0)+(Te>>>26)|0,Te&=67108863,n=Math.imul(N,ae),i=(i=Math.imul(N,oe))+Math.imul(z,ae)|0,a=Math.imul(z,oe),n=n+Math.imul(j,se)|0,i=(i=i+Math.imul(j,de)|0)+Math.imul(q,se)|0,a=a+Math.imul(q,de)|0,n=n+Math.imul(L,ue)|0,i=(i=i+Math.imul(L,ce)|0)+Math.imul(O,ue)|0,a=a+Math.imul(O,ce)|0;var Pe=(d+(n=n+Math.imul(I,be)|0)|0)+((8191&(i=(i=i+Math.imul(I,pe)|0)+Math.imul(T,be)|0))<<13)|0;d=((a=a+Math.imul(T,pe)|0)+(i>>>13)|0)+(Pe>>>26)|0,Pe&=67108863,n=Math.imul(N,se),i=(i=Math.imul(N,de))+Math.imul(z,se)|0,a=Math.imul(z,de),n=n+Math.imul(j,ue)|0,i=(i=i+Math.imul(j,ce)|0)+Math.imul(q,ue)|0,a=a+Math.imul(q,ce)|0;var Le=(d+(n=n+Math.imul(L,be)|0)|0)+((8191&(i=(i=i+Math.imul(L,pe)|0)+Math.imul(O,be)|0))<<13)|0;d=((a=a+Math.imul(O,pe)|0)+(i>>>13)|0)+(Le>>>26)|0,Le&=67108863,n=Math.imul(N,ue),i=(i=Math.imul(N,ce))+Math.imul(z,ue)|0,a=Math.imul(z,ce);var Oe=(d+(n=n+Math.imul(j,be)|0)|0)+((8191&(i=(i=i+Math.imul(j,pe)|0)+Math.imul(q,be)|0))<<13)|0;d=((a=a+Math.imul(q,pe)|0)+(i>>>13)|0)+(Oe>>>26)|0,Oe&=67108863;var Be=(d+(n=Math.imul(N,be))|0)+((8191&(i=(i=Math.imul(N,pe))+Math.imul(z,be)|0))<<13)|0;return d=((a=Math.imul(z,pe))+(i>>>13)|0)+(Be>>>26)|0,Be&=67108863,s[0]=ge,s[1]=me,s[2]=ye,s[3]=ve,s[4]=we,s[5]=_e,s[6]=Me,s[7]=Se,s[8]=Ee,s[9]=Ae,s[10]=xe,s[11]=ke,s[12]=Re,s[13]=Ie,s[14]=Te,s[15]=Pe,s[16]=Le,s[17]=Oe,s[18]=Be,0!==d&&(s[19]=d,r.length++),r};function b(e,t,r){return(new p).mulp(e,t,r)}function p(e,t){this.x=e,this.y=t}Math.imul||(l=c),a.prototype.mulTo=function(e,t){var r=this.length+e.length;return 10===this.length&&10===e.length?l(this,e,t):r<63?c(this,e,t):r<1024?function(e,t,r){r.negative=t.negative^e.negative,r.length=e.length+t.length;for(var n=0,i=0,a=0;a<r.length-1;a++){var o=i;i=0;for(var f=67108863&n,s=Math.min(a,t.length-1),d=Math.max(0,a-e.length+1);d<=s;d++){var h=a-d,u=(0|e.words[h])*(0|t.words[d]),c=67108863&u;f=67108863&(c=c+f|0),i+=(o=(o=o+(u/67108864|0)|0)+(c>>>26)|0)>>>26,o&=67108863}r.words[a]=f,n=o,o=i}return 0!==n?r.words[a]=n:r.length--,r.strip()}(this,e,t):b(this,e,t)},p.prototype.makeRBT=function(e){for(var t=new Array(e),r=a.prototype._countBits(e)-1,n=0;n<e;n++)t[n]=this.revBin(n,r,e);return t},p.prototype.revBin=function(e,t,r){if(0===e||e===r-1)return e;for(var n=0,i=0;i<t;i++)n|=(1&e)<<t-i-1,e>>=1;return n},p.prototype.permute=function(e,t,r,n,i,a){for(var o=0;o<a;o++)n[o]=t[e[o]],i[o]=r[e[o]]},p.prototype.transform=function(e,t,r,n,i,a){this.permute(a,e,t,r,n,i);for(var o=1;o<i;o<<=1)for(var f=o<<1,s=Math.cos(2*Math.PI/f),d=Math.sin(2*Math.PI/f),h=0;h<i;h+=f)for(var u=s,c=d,l=0;l<o;l++){var b=r[h+l],p=n[h+l],g=r[h+l+o],m=n[h+l+o],y=u*g-c*m;m=u*m+c*g,g=y,r[h+l]=b+g,n[h+l]=p+m,r[h+l+o]=b-g,n[h+l+o]=p-m,l!==f&&(y=s*u-d*c,c=s*c+d*u,u=y)}},p.prototype.guessLen13b=function(e,t){var r=1|Math.max(t,e),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},p.prototype.conjugate=function(e,t,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=e[n];e[n]=e[r-n-1],e[r-n-1]=i,i=t[n],t[n]=-t[r-n-1],t[r-n-1]=-i}},p.prototype.normalize13b=function(e,t){for(var r=0,n=0;n<t/2;n++){var i=8192*Math.round(e[2*n+1]/t)+Math.round(e[2*n]/t)+r;e[n]=67108863&i,r=i<67108864?0:i/67108864|0}return e},p.prototype.convert13b=function(e,t,r,i){for(var a=0,o=0;o<t;o++)a+=0|e[o],r[2*o]=8191&a,a>>>=13,r[2*o+1]=8191&a,a>>>=13;for(o=2*t;o<i;++o)r[o]=0;n(0===a),n(0==(-8192&a))},p.prototype.stub=function(e){for(var t=new Array(e),r=0;r<e;r++)t[r]=0;return t},p.prototype.mulp=function(e,t,r){var n=2*this.guessLen13b(e.length,t.length),i=this.makeRBT(n),a=this.stub(n),o=new Array(n),f=new Array(n),s=new Array(n),d=new Array(n),h=new Array(n),u=new Array(n),c=r.words;c.length=n,this.convert13b(e.words,e.length,o,n),this.convert13b(t.words,t.length,d,n),this.transform(o,a,f,s,n,i),this.transform(d,a,h,u,n,i);for(var l=0;l<n;l++){var b=f[l]*h[l]-s[l]*u[l];s[l]=f[l]*u[l]+s[l]*h[l],f[l]=b}return this.conjugate(f,s,n),this.transform(f,s,c,a,n,i),this.conjugate(c,a,n),this.normalize13b(c,n),r.negative=e.negative^t.negative,r.length=e.length+t.length,r.strip()},a.prototype.mul=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},a.prototype.mulf=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),b(this,e,t)},a.prototype.imul=function(e){return this.clone().mulTo(e,this)},a.prototype.imuln=function(e){n("number"==typeof e),n(e<67108864);for(var t=0,r=0;r<this.length;r++){var i=(0|this.words[r])*e,a=(67108863&i)+(67108863&t);t>>=26,t+=i/67108864|0,t+=a>>>26,this.words[r]=67108863&a}return 0!==t&&(this.words[r]=t,this.length++),this},a.prototype.muln=function(e){return this.clone().imuln(e)},a.prototype.sqr=function(){return this.mul(this)},a.prototype.isqr=function(){return this.imul(this.clone())},a.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),r=0;r<t.length;r++){var n=r/26|0,i=r%26;t[r]=(e.words[n]&1<<i)>>>i}return t}(e);if(0===t.length)return new a(1);for(var r=this,n=0;n<t.length&&0===t[n];n++,r=r.sqr());if(++n<t.length)for(var i=r.sqr();n<t.length;n++,i=i.sqr())0!==t[n]&&(r=r.mul(i));return r},a.prototype.iushln=function(e){n("number"==typeof e&&e>=0);var t,r=e%26,i=(e-r)/26,a=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(t=0;t<this.length;t++){var f=this.words[t]&a,s=(0|this.words[t])-f<<r;this.words[t]=s|o,o=f>>>26-r}o&&(this.words[t]=o,this.length++)}if(0!==i){for(t=this.length-1;t>=0;t--)this.words[t+i]=this.words[t];for(t=0;t<i;t++)this.words[t]=0;this.length+=i}return this.strip()},a.prototype.ishln=function(e){return n(0===this.negative),this.iushln(e)},a.prototype.iushrn=function(e,t,r){var i;n("number"==typeof e&&e>=0),i=t?(t-t%26)/26:0;var a=e%26,o=Math.min((e-a)/26,this.length),f=67108863^67108863>>>a<<a,s=r;if(i-=o,i=Math.max(0,i),s){for(var d=0;d<o;d++)s.words[d]=this.words[d];s.length=o}if(0===o);else if(this.length>o)for(this.length-=o,d=0;d<this.length;d++)this.words[d]=this.words[d+o];else this.words[0]=0,this.length=1;var h=0;for(d=this.length-1;d>=0&&(0!==h||d>=i);d--){var u=0|this.words[d];this.words[d]=h<<26-a|u>>>a,h=u&f}return s&&0!==h&&(s.words[s.length++]=h),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},a.prototype.ishrn=function(e,t,r){return n(0===this.negative),this.iushrn(e,t,r)},a.prototype.shln=function(e){return this.clone().ishln(e)},a.prototype.ushln=function(e){return this.clone().iushln(e)},a.prototype.shrn=function(e){return this.clone().ishrn(e)},a.prototype.ushrn=function(e){return this.clone().iushrn(e)},a.prototype.testn=function(e){n("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26,i=1<<t;return!(this.length<=r)&&!!(this.words[r]&i)},a.prototype.imaskn=function(e){n("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26;if(n(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==t&&r++,this.length=Math.min(r,this.length),0!==t){var i=67108863^67108863>>>t<<t;this.words[this.length-1]&=i}return this.strip()},a.prototype.maskn=function(e){return this.clone().imaskn(e)},a.prototype.iaddn=function(e){return n("number"==typeof e),n(e<67108864),e<0?this.isubn(-e):0!==this.negative?1===this.length&&(0|this.words[0])<e?(this.words[0]=e-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(e),this.negative=1,this):this._iaddn(e)},a.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},a.prototype.isubn=function(e){if(n("number"==typeof e),n(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this.strip()},a.prototype.addn=function(e){return this.clone().iaddn(e)},a.prototype.subn=function(e){return this.clone().isubn(e)},a.prototype.iabs=function(){return this.negative=0,this},a.prototype.abs=function(){return this.clone().iabs()},a.prototype._ishlnsubmul=function(e,t,r){var i,a,o=e.length+r;this._expand(o);var f=0;for(i=0;i<e.length;i++){a=(0|this.words[i+r])+f;var s=(0|e.words[i])*t;f=((a-=67108863&s)>>26)-(s/67108864|0),this.words[i+r]=67108863&a}for(;i<this.length-r;i++)f=(a=(0|this.words[i+r])+f)>>26,this.words[i+r]=67108863&a;if(0===f)return this.strip();for(n(-1===f),f=0,i=0;i<this.length;i++)f=(a=-(0|this.words[i])+f)>>26,this.words[i]=67108863&a;return this.negative=1,this.strip()},a.prototype._wordDiv=function(e,t){var r=(this.length,e.length),n=this.clone(),i=e,o=0|i.words[i.length-1];0!==(r=26-this._countBits(o))&&(i=i.ushln(r),n.iushln(r),o=0|i.words[i.length-1]);var f,s=n.length-i.length;if("mod"!==t){(f=new a(null)).length=s+1,f.words=new Array(f.length);for(var d=0;d<f.length;d++)f.words[d]=0}var h=n.clone()._ishlnsubmul(i,1,s);0===h.negative&&(n=h,f&&(f.words[s]=1));for(var u=s-1;u>=0;u--){var c=67108864*(0|n.words[i.length+u])+(0|n.words[i.length+u-1]);for(c=Math.min(c/o|0,67108863),n._ishlnsubmul(i,c,u);0!==n.negative;)c--,n.negative=0,n._ishlnsubmul(i,1,u),n.isZero()||(n.negative^=1);f&&(f.words[u]=c)}return f&&f.strip(),n.strip(),"div"!==t&&0!==r&&n.iushrn(r),{div:f||null,mod:n}},a.prototype.divmod=function(e,t,r){return n(!e.isZero()),this.isZero()?{div:new a(0),mod:new a(0)}:0!==this.negative&&0===e.negative?(f=this.neg().divmod(e,t),"mod"!==t&&(i=f.div.neg()),"div"!==t&&(o=f.mod.neg(),r&&0!==o.negative&&o.iadd(e)),{div:i,mod:o}):0===this.negative&&0!==e.negative?(f=this.divmod(e.neg(),t),"mod"!==t&&(i=f.div.neg()),{div:i,mod:f.mod}):0!=(this.negative&e.negative)?(f=this.neg().divmod(e.neg(),t),"div"!==t&&(o=f.mod.neg(),r&&0!==o.negative&&o.isub(e)),{div:f.div,mod:o}):e.length>this.length||this.cmp(e)<0?{div:new a(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new a(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new a(this.modn(e.words[0]))}:this._wordDiv(e,t);var i,o,f},a.prototype.div=function(e){return this.divmod(e,"div",!1).div},a.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},a.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},a.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var r=0!==t.div.negative?t.mod.isub(e):t.mod,n=e.ushrn(1),i=e.andln(1),a=r.cmp(n);return a<0||1===i&&0===a?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},a.prototype.modn=function(e){n(e<=67108863);for(var t=(1<<26)%e,r=0,i=this.length-1;i>=0;i--)r=(t*r+(0|this.words[i]))%e;return r},a.prototype.idivn=function(e){n(e<=67108863);for(var t=0,r=this.length-1;r>=0;r--){var i=(0|this.words[r])+67108864*t;this.words[r]=i/e|0,t=i%e}return this.strip()},a.prototype.divn=function(e){return this.clone().idivn(e)},a.prototype.egcd=function(e){n(0===e.negative),n(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var i=new a(1),o=new a(0),f=new a(0),s=new a(1),d=0;t.isEven()&&r.isEven();)t.iushrn(1),r.iushrn(1),++d;for(var h=r.clone(),u=t.clone();!t.isZero();){for(var c=0,l=1;0==(t.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(t.iushrn(c);c-- >0;)(i.isOdd()||o.isOdd())&&(i.iadd(h),o.isub(u)),i.iushrn(1),o.iushrn(1);for(var b=0,p=1;0==(r.words[0]&p)&&b<26;++b,p<<=1);if(b>0)for(r.iushrn(b);b-- >0;)(f.isOdd()||s.isOdd())&&(f.iadd(h),s.isub(u)),f.iushrn(1),s.iushrn(1);t.cmp(r)>=0?(t.isub(r),i.isub(f),o.isub(s)):(r.isub(t),f.isub(i),s.isub(o))}return{a:f,b:s,gcd:r.iushln(d)}},a.prototype._invmp=function(e){n(0===e.negative),n(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var i,o=new a(1),f=new a(0),s=r.clone();t.cmpn(1)>0&&r.cmpn(1)>0;){for(var d=0,h=1;0==(t.words[0]&h)&&d<26;++d,h<<=1);if(d>0)for(t.iushrn(d);d-- >0;)o.isOdd()&&o.iadd(s),o.iushrn(1);for(var u=0,c=1;0==(r.words[0]&c)&&u<26;++u,c<<=1);if(u>0)for(r.iushrn(u);u-- >0;)f.isOdd()&&f.iadd(s),f.iushrn(1);t.cmp(r)>=0?(t.isub(r),o.isub(f)):(r.isub(t),f.isub(o))}return(i=0===t.cmpn(1)?o:f).cmpn(0)<0&&i.iadd(e),i},a.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),r=e.clone();t.negative=0,r.negative=0;for(var n=0;t.isEven()&&r.isEven();n++)t.iushrn(1),r.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;r.isEven();)r.iushrn(1);var i=t.cmp(r);if(i<0){var a=t;t=r,r=a}else if(0===i||0===r.cmpn(1))break;t.isub(r)}return r.iushln(n)},a.prototype.invm=function(e){return this.egcd(e).a.umod(e)},a.prototype.isEven=function(){return 0==(1&this.words[0])},a.prototype.isOdd=function(){return 1==(1&this.words[0])},a.prototype.andln=function(e){return this.words[0]&e},a.prototype.bincn=function(e){n("number"==typeof e);var t=e%26,r=(e-t)/26,i=1<<t;if(this.length<=r)return this._expand(r+1),this.words[r]|=i,this;for(var a=i,o=r;0!==a&&o<this.length;o++){var f=0|this.words[o];a=(f+=a)>>>26,f&=67108863,this.words[o]=f}return 0!==a&&(this.words[o]=a,this.length++),this},a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},a.prototype.cmpn=function(e){var t,r=e<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)t=1;else{r&&(e=-e),n(e<=67108863,"Number is too big");var i=0|this.words[0];t=i===e?0:i<e?-1:1}return 0!==this.negative?0|-t:t},a.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;var t=this.ucmp(e);return 0!==this.negative?0|-t:t},a.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|e.words[r];if(n!==i){n<i?t=-1:n>i&&(t=1);break}}return t},a.prototype.gtn=function(e){return 1===this.cmpn(e)},a.prototype.gt=function(e){return 1===this.cmp(e)},a.prototype.gten=function(e){return this.cmpn(e)>=0},a.prototype.gte=function(e){return this.cmp(e)>=0},a.prototype.ltn=function(e){return-1===this.cmpn(e)},a.prototype.lt=function(e){return-1===this.cmp(e)},a.prototype.lten=function(e){return this.cmpn(e)<=0},a.prototype.lte=function(e){return this.cmp(e)<=0},a.prototype.eqn=function(e){return 0===this.cmpn(e)},a.prototype.eq=function(e){return 0===this.cmp(e)},a.red=function(e){return new M(e)},a.prototype.toRed=function(e){return n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},a.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},a.prototype._forceRed=function(e){return this.red=e,this},a.prototype.forceRed=function(e){return n(!this.red,"Already a number in reduction 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numbers"),this.red._verify1(this),this.red.sqr(this)},a.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},a.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},a.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},a.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},a.prototype.redPow=function(e){return n(this.red&&!e.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,e)};var g={k256:null,p224:null,p192:null,p25519:null};function m(e,t){this.name=e,this.p=new a(t,16),this.n=this.p.bitLength(),this.k=new a(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function y(){m.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function v(){m.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function w(){m.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function _(){m.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function M(e){if("string"==typeof e){var t=a._prime(e);this.m=t.p,this.prime=t}else n(e.gtn(1),"modulus must be greater than 1"),this.m=e,this.prime=null}function S(e){M.call(this,e),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new a(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}m.prototype._tmp=function(){var e=new a(null);return e.words=new Array(Math.ceil(this.n/13)),e},m.prototype.ireduce=function(e){var t,r=e;do{this.split(r,this.tmp),t=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(t>this.n);var n=t<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},m.prototype.split=function(e,t){e.iushrn(this.n,0,t)},m.prototype.imulK=function(e){return e.imul(this.k)},i(y,m),y.prototype.split=function(e,t){for(var r=Math.min(e.length,9),n=0;n<r;n++)t.words[n]=e.words[n];if(t.length=r,e.length<=9)return e.words[0]=0,void(e.length=1);var i=e.words[9];for(t.words[t.length++]=4194303&i,n=10;n<e.length;n++){var a=0|e.words[n];e.words[n-10]=(4194303&a)<<4|i>>>22,i=a}i>>>=22,e.words[n-10]=i,0===i&&e.length>10?e.length-=10:e.length-=9},y.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t=0,r=0;r<e.length;r++){var n=0|e.words[r];t+=977*n,e.words[r]=67108863&t,t=64*n+(t/67108864|0)}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},i(v,m),i(w,m),i(_,m),_.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var n=19*(0|e.words[r])+t,i=67108863&n;n>>>=26,e.words[r]=i,t=n}return 0!==t&&(e.words[e.length++]=t),e},a._prime=function(e){if(g[e])return g[e];var t;if("k256"===e)t=new y;else if("p224"===e)t=new v;else if("p192"===e)t=new w;else{if("p25519"!==e)throw new Error("Unknown prime "+e);t=new _}return g[e]=t,t},M.prototype._verify1=function(e){n(0===e.negative,"red works only with positives"),n(e.red,"red works only with red numbers")},M.prototype._verify2=function(e,t){n(0==(e.negative|t.negative),"red works only with positives"),n(e.red&&e.red===t.red,"red works only with red numbers")},M.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):e.umod(this.m)._forceRed(this)},M.prototype.neg=function(e){return e.isZero()?e.clone():this.m.sub(e)._forceRed(this)},M.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},M.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},M.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},M.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},M.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.ushln(t))},M.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},M.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},M.prototype.isqr=function(e){return this.imul(e,e.clone())},M.prototype.sqr=function(e){return this.mul(e,e)},M.prototype.sqrt=function(e){if(e.isZero())return e.clone();var t=this.m.andln(3);if(n(t%2==1),3===t){var r=this.m.add(new a(1)).iushrn(2);return this.pow(e,r)}for(var i=this.m.subn(1),o=0;!i.isZero()&&0===i.andln(1);)o++,i.iushrn(1);n(!i.isZero());var f=new a(1).toRed(this),s=f.redNeg(),d=this.m.subn(1).iushrn(1),h=this.m.bitLength();for(h=new a(2*h*h).toRed(this);0!==this.pow(h,d).cmp(s);)h.redIAdd(s);for(var u=this.pow(h,i),c=this.pow(e,i.addn(1).iushrn(1)),l=this.pow(e,i),b=o;0!==l.cmp(f);){for(var p=l,g=0;0!==p.cmp(f);g++)p=p.redSqr();n(g<b);var m=this.pow(u,new a(1).iushln(b-g-1));c=c.redMul(m),u=m.redSqr(),l=l.redMul(u),b=g}return c},M.prototype.invm=function(e){var t=e._invmp(this.m);return 0!==t.negative?(t.negative=0,this.imod(t).redNeg()):this.imod(t)},M.prototype.pow=function(e,t){if(t.isZero())return new a(1).toRed(this);if(0===t.cmpn(1))return e.clone();var r=new Array(16);r[0]=new a(1).toRed(this),r[1]=e;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],e);var i=r[0],o=0,f=0,s=t.bitLength()%26;for(0===s&&(s=26),n=t.length-1;n>=0;n--){for(var d=t.words[n],h=s-1;h>=0;h--){var u=d>>h&1;i!==r[0]&&(i=this.sqr(i)),0!==u||0!==o?(o<<=1,o|=u,(4===++f||0===n&&0===h)&&(i=this.mul(i,r[o]),f=0,o=0)):f=0}s=26}return i},M.prototype.convertTo=function(e){var t=e.umod(this.m);return t===e?t.clone():t},M.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},a.mont=function(e){return new S(e)},i(S,M),S.prototype.convertTo=function(e){return this.imod(e.ushln(this.shift))},S.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},S.prototype.imul=function(e,t){if(e.isZero()||t.isZero())return e.words[0]=0,e.length=1,e;var r=e.imul(t),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),i=r.isub(n).iushrn(this.shift),a=i;return i.cmp(this.m)>=0?a=i.isub(this.m):i.cmpn(0)<0&&(a=i.iadd(this.m)),a._forceRed(this)},S.prototype.mul=function(e,t){if(e.isZero()||t.isZero())return new a(0)._forceRed(this);var 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A,x=M[y];0!==x&&(x>0?A=s[y][x-1>>1]:x<0&&(A=s[y][-x-1>>1].neg()),_="affine"===A.type?_.mixedAdd(A):_.add(A))}}for(u=0;u<n;u++)s[u]=null;return i?_:_.toP()},s.BasePoint=d,d.prototype.eq=function(){throw new Error("Not implemented")},d.prototype.validate=function(){return this.curve.validate(this)},s.prototype.decodePoint=function(e,t){e=i.toArray(e,t);var r=this.p.byteLength();if((4===e[0]||6===e[0]||7===e[0])&&e.length-1==2*r)return 6===e[0]?f(e[e.length-1]%2==0):7===e[0]&&f(e[e.length-1]%2==1),this.point(e.slice(1,1+r),e.slice(1+r,1+2*r));if((2===e[0]||3===e[0])&&e.length-1===r)return this.pointFromX(e.slice(1,1+r),3===e[0]);throw new Error("Unknown point format")},d.prototype.encodeCompressed=function(e){return this.encode(e,!0)},d.prototype._encode=function(e){var t=this.curve.p.byteLength(),r=this.getX().toArray("be",t);return e?[this.getY().isEven()?2:3].concat(r):[4].concat(r,this.getY().toArray("be",t))},d.prototype.encode=function(e,t){return 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t=this.curve.a,r=this.x.redSqr(),n=e.redInvm(),i=r.redAdd(r).redIAdd(r).redIAdd(t).redMul(n),a=i.redSqr().redISub(this.x.redAdd(this.x)),o=i.redMul(this.x.redSub(a)).redISub(this.y);return this.curve.point(a,o)},d.prototype.getX=function(){return this.x.fromRed()},d.prototype.getY=function(){return this.y.fromRed()},d.prototype.mul=function(e){return e=new i(e,16),this.isInfinity()?this:this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve.endo?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(this,e)},d.prototype.mulAdd=function(e,t,r){var n=[this,t],i=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i):this.curve._wnafMulAdd(1,n,i,2)},d.prototype.jmulAdd=function(e,t,r){var n=[this,t],i=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i,!0):this.curve._wnafMulAdd(1,n,i,2,!0)},d.prototype.eq=function(e){return this===e||this.inf===e.inf&&(this.inf||0===this.x.cmp(e.x)&&0===this.y.cmp(e.y))},d.prototype.neg=function(e){if(this.inf)return this;var t=this.curve.point(this.x,this.y.redNeg());if(e&&this.precomputed){var r=this.precomputed,n=function(e){return e.neg()};t.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(n)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(n)}}}return t},d.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):this.curve.jpoint(this.x,this.y,this.curve.one)},a(h,o.BasePoint),s.prototype.jpoint=function(e,t,r){return new h(this,e,t,r)},h.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var e=this.z.redInvm(),t=e.redSqr(),r=this.x.redMul(t),n=this.y.redMul(t).redMul(e);return this.curve.point(r,n)},h.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},h.prototype.add=function(e){if(this.isInfinity())return e;if(e.isInfinity())return this;var t=e.z.redSqr(),r=this.z.redSqr(),n=this.x.redMul(t),i=e.x.redMul(r),a=this.y.redMul(t.redMul(e.z)),o=e.y.redMul(r.redMul(this.z)),f=n.redSub(i),s=a.redSub(o);if(0===f.cmpn(0))return 0!==s.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var d=f.redSqr(),h=d.redMul(f),u=n.redMul(d),c=s.redSqr().redIAdd(h).redISub(u).redISub(u),l=s.redMul(u.redISub(c)).redISub(a.redMul(h)),b=this.z.redMul(e.z).redMul(f);return this.curve.jpoint(c,l,b)},h.prototype.mixedAdd=function(e){if(this.isInfinity())return e.toJ();if(e.isInfinity())return this;var t=this.z.redSqr(),r=this.x,n=e.x.redMul(t),i=this.y,a=e.y.redMul(t).redMul(this.z),o=r.redSub(n),f=i.redSub(a);if(0===o.cmpn(0))return 0!==f.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var s=o.redSqr(),d=s.redMul(o),h=r.redMul(s),u=f.redSqr().redIAdd(d).redISub(h).redISub(h),c=f.redMul(h.redISub(u)).redISub(i.redMul(d)),l=this.z.redMul(o);return this.curve.jpoint(u,c,l)},h.prototype.dblp=function(e){if(0===e)return this;if(this.isInfinity())return this;if(!e)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var t=this,r=0;r<e;r++)t=t.dbl();return t}var n=this.curve.a,i=this.curve.tinv,a=this.x,o=this.y,f=this.z,s=f.redSqr().redSqr(),d=o.redAdd(o);for(r=0;r<e;r++){var h=a.redSqr(),u=d.redSqr(),c=u.redSqr(),l=h.redAdd(h).redIAdd(h).redIAdd(n.redMul(s)),b=a.redMul(u),p=l.redSqr().redISub(b.redAdd(b)),g=b.redISub(p),m=l.redMul(g);m=m.redIAdd(m).redISub(c);var y=d.redMul(f);r+1<e&&(s=s.redMul(c)),a=p,f=y,d=m}return this.curve.jpoint(a,d.redMul(i),f)},h.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},h.prototype._zeroDbl=function(){var e,t,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),a=i.redSqr(),o=this.x.redAdd(i).redSqr().redISub(n).redISub(a);o=o.redIAdd(o);var f=n.redAdd(n).redIAdd(n),s=f.redSqr().redISub(o).redISub(o),d=a.redIAdd(a);d=(d=d.redIAdd(d)).redIAdd(d),e=s,t=f.redMul(o.redISub(s)).redISub(d),r=this.y.redAdd(this.y)}else{var h=this.x.redSqr(),u=this.y.redSqr(),c=u.redSqr(),l=this.x.redAdd(u).redSqr().redISub(h).redISub(c);l=l.redIAdd(l);var b=h.redAdd(h).redIAdd(h),p=b.redSqr(),g=c.redIAdd(c);g=(g=g.redIAdd(g)).redIAdd(g),e=p.redISub(l).redISub(l),t=b.redMul(l.redISub(e)).redISub(g),r=(r=this.y.redMul(this.z)).redIAdd(r)}return this.curve.jpoint(e,t,r)},h.prototype._threeDbl=function(){var e,t,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),a=i.redSqr(),o=this.x.redAdd(i).redSqr().redISub(n).redISub(a);o=o.redIAdd(o);var f=n.redAdd(n).redIAdd(n).redIAdd(this.curve.a),s=f.redSqr().redISub(o).redISub(o);e=s;var d=a.redIAdd(a);d=(d=d.redIAdd(d)).redIAdd(d),t=f.redMul(o.redISub(s)).redISub(d),r=this.y.redAdd(this.y)}else{var h=this.z.redSqr(),u=this.y.redSqr(),c=this.x.redMul(u),l=this.x.redSub(h).redMul(this.x.redAdd(h));l=l.redAdd(l).redIAdd(l);var b=c.redIAdd(c),p=(b=b.redIAdd(b)).redAdd(b);e=l.redSqr().redISub(p),r=this.y.redAdd(this.z).redSqr().redISub(u).redISub(h);var g=u.redSqr();g=(g=(g=g.redIAdd(g)).redIAdd(g)).redIAdd(g),t=l.redMul(b.redISub(e)).redISub(g)}return this.curve.jpoint(e,t,r)},h.prototype._dbl=function(){var e=this.curve.a,t=this.x,r=this.y,n=this.z,i=n.redSqr().redSqr(),a=t.redSqr(),o=r.redSqr(),f=a.redAdd(a).redIAdd(a).redIAdd(e.redMul(i)),s=t.redAdd(t),d=(s=s.redIAdd(s)).redMul(o),h=f.redSqr().redISub(d.redAdd(d)),u=d.redISub(h),c=o.redSqr();c=(c=(c=c.redIAdd(c)).redIAdd(c)).redIAdd(c);var l=f.redMul(u).redISub(c),b=r.redAdd(r).redMul(n);return this.curve.jpoint(h,l,b)},h.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr(),n=t.redSqr(),i=e.redAdd(e).redIAdd(e),a=i.redSqr(),o=this.x.redAdd(t).redSqr().redISub(e).redISub(n),f=(o=(o=(o=o.redIAdd(o)).redAdd(o).redIAdd(o)).redISub(a)).redSqr(),s=n.redIAdd(n);s=(s=(s=s.redIAdd(s)).redIAdd(s)).redIAdd(s);var d=i.redIAdd(o).redSqr().redISub(a).redISub(f).redISub(s),h=t.redMul(d);h=(h=h.redIAdd(h)).redIAdd(h);var u=this.x.redMul(f).redISub(h);u=(u=u.redIAdd(u)).redIAdd(u);var c=this.y.redMul(d.redMul(s.redISub(d)).redISub(o.redMul(f)));c=(c=(c=c.redIAdd(c)).redIAdd(c)).redIAdd(c);var l=this.z.redAdd(o).redSqr().redISub(r).redISub(f);return this.curve.jpoint(u,c,l)},h.prototype.mul=function(e,t){return e=new i(e,t),this.curve._wnafMul(this,e)},h.prototype.eq=function(e){if("affine"===e.type)return this.eq(e.toJ());if(this===e)return!0;var t=this.z.redSqr(),r=e.z.redSqr();if(0!==this.x.redMul(r).redISub(e.x.redMul(t)).cmpn(0))return!1;var n=t.redMul(this.z),i=r.redMul(e.z);return 0===this.y.redMul(i).redISub(e.y.redMul(n)).cmpn(0)},h.prototype.eqXToP=function(e){var t=this.z.redSqr(),r=e.toRed(this.curve.red).redMul(t);if(0===this.x.cmp(r))return!0;for(var n=e.clone(),i=this.curve.redN.redMul(t);;){if(n.iadd(this.curve.n),n.cmp(this.curve.p)>=0)return!1;if(r.redIAdd(i),0===this.x.cmp(r))return!0}},h.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"},h.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},function(e,t,r){"use strict";var n=r(4),i=r(0),a=r(18),o=r(2);function f(e){a.call(this,"mont",e),this.a=new n(e.a,16).toRed(this.red),this.b=new n(e.b,16).toRed(this.red),this.i4=new n(4).toRed(this.red).redInvm(),this.two=new n(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function s(e,t,r){a.BasePoint.call(this,e,"projective"),null===t&&null===r?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new n(t,16),this.z=new n(r,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}i(f,a),e.exports=f,f.prototype.validate=function(e){var t=e.normalize().x,r=t.redSqr(),n=r.redMul(t).redAdd(r.redMul(this.a)).redAdd(t);return 0===n.redSqrt().redSqr().cmp(n)},i(s,a.BasePoint),f.prototype.decodePoint=function(e,t){return this.point(o.toArray(e,t),1)},f.prototype.point=function(e,t){return new s(this,e,t)},f.prototype.pointFromJSON=function(e){return s.fromJSON(this,e)},s.prototype.precompute=function(){},s.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},s.fromJSON=function(e,t){return new s(e,t[0],t[1]||e.one)},s.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},s.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},s.prototype.dbl=function(){var e=this.x.redAdd(this.z).redSqr(),t=this.x.redSub(this.z).redSqr(),r=e.redSub(t),n=e.redMul(t),i=r.redMul(t.redAdd(this.curve.a24.redMul(r)));return this.curve.point(n,i)},s.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.diffAdd=function(e,t){var r=this.x.redAdd(this.z),n=this.x.redSub(this.z),i=e.x.redAdd(e.z),a=e.x.redSub(e.z).redMul(r),o=i.redMul(n),f=t.z.redMul(a.redAdd(o).redSqr()),s=t.x.redMul(a.redISub(o).redSqr());return this.curve.point(f,s)},s.prototype.mul=function(e){for(var t=e.clone(),r=this,n=this.curve.point(null,null),i=[];0!==t.cmpn(0);t.iushrn(1))i.push(t.andln(1));for(var a=i.length-1;a>=0;a--)0===i[a]?(r=r.diffAdd(n,this),n=n.dbl()):(n=r.diffAdd(n,this),r=r.dbl());return n},s.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.eq=function(e){return 0===this.getX().cmp(e.getX())},s.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},s.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},function(e,t,r){"use strict";var n=r(2),i=r(4),a=r(0),o=r(18),f=n.assert;function s(e){this.twisted=1!=(0|e.a),this.mOneA=this.twisted&&-1==(0|e.a),this.extended=this.mOneA,o.call(this,"edwards",e),this.a=new i(e.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new i(e.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new i(e.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),f(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1==(0|e.c)}function d(e,t,r,n,a){o.BasePoint.call(this,e,"projective"),null===t&&null===r&&null===n?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new i(t,16),this.y=new i(r,16),this.z=n?new i(n,16):this.curve.one,this.t=a&&new i(a,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}a(s,o),e.exports=s,s.prototype._mulA=function(e){return this.mOneA?e.redNeg():this.a.redMul(e)},s.prototype._mulC=function(e){return this.oneC?e:this.c.redMul(e)},s.prototype.jpoint=function(e,t,r,n){return this.point(e,t,r,n)},s.prototype.pointFromX=function(e,t){(e=new i(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),n=this.c2.redSub(this.a.redMul(r)),a=this.one.redSub(this.c2.redMul(this.d).redMul(r)),o=n.redMul(a.redInvm()),f=o.redSqrt();if(0!==f.redSqr().redSub(o).cmp(this.zero))throw new Error("invalid point");var s=f.fromRed().isOdd();return(t&&!s||!t&&s)&&(f=f.redNeg()),this.point(e,f)},s.prototype.pointFromY=function(e,t){(e=new i(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),n=r.redSub(this.c2),a=r.redMul(this.d).redMul(this.c2).redSub(this.a),o=n.redMul(a.redInvm());if(0===o.cmp(this.zero)){if(t)throw new Error("invalid point");return this.point(this.zero,e)}var f=o.redSqrt();if(0!==f.redSqr().redSub(o).cmp(this.zero))throw new Error("invalid point");return f.fromRed().isOdd()!==t&&(f=f.redNeg()),this.point(f,e)},s.prototype.validate=function(e){if(e.isInfinity())return!0;e.normalize();var t=e.x.redSqr(),r=e.y.redSqr(),n=t.redMul(this.a).redAdd(r),i=this.c2.redMul(this.one.redAdd(this.d.redMul(t).redMul(r)));return 0===n.cmp(i)},a(d,o.BasePoint),s.prototype.pointFromJSON=function(e){return d.fromJSON(this,e)},s.prototype.point=function(e,t,r,n){return new d(this,e,t,r,n)},d.fromJSON=function(e,t){return new d(e,t[0],t[1],t[2])},d.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},d.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},d.prototype._extDbl=function(){var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr();r=r.redIAdd(r);var n=this.curve._mulA(e),i=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),a=n.redAdd(t),o=a.redSub(r),f=n.redSub(t),s=i.redMul(o),d=a.redMul(f),h=i.redMul(f),u=o.redMul(a);return this.curve.point(s,d,u,h)},d.prototype._projDbl=function(){var e,t,r,n=this.x.redAdd(this.y).redSqr(),i=this.x.redSqr(),a=this.y.redSqr();if(this.curve.twisted){var o=(d=this.curve._mulA(i)).redAdd(a);if(this.zOne)e=n.redSub(i).redSub(a).redMul(o.redSub(this.curve.two)),t=o.redMul(d.redSub(a)),r=o.redSqr().redSub(o).redSub(o);else{var f=this.z.redSqr(),s=o.redSub(f).redISub(f);e=n.redSub(i).redISub(a).redMul(s),t=o.redMul(d.redSub(a)),r=o.redMul(s)}}else{var d=i.redAdd(a);f=this.curve._mulC(this.z).redSqr(),s=d.redSub(f).redSub(f);e=this.curve._mulC(n.redISub(d)).redMul(s),t=this.curve._mulC(d).redMul(i.redISub(a)),r=d.redMul(s)}return this.curve.point(e,t,r)},d.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},d.prototype._extAdd=function(e){var t=this.y.redSub(this.x).redMul(e.y.redSub(e.x)),r=this.y.redAdd(this.x).redMul(e.y.redAdd(e.x)),n=this.t.redMul(this.curve.dd).redMul(e.t),i=this.z.redMul(e.z.redAdd(e.z)),a=r.redSub(t),o=i.redSub(n),f=i.redAdd(n),s=r.redAdd(t),d=a.redMul(o),h=f.redMul(s),u=a.redMul(s),c=o.redMul(f);return this.curve.point(d,h,c,u)},d.prototype._projAdd=function(e){var t,r,n=this.z.redMul(e.z),i=n.redSqr(),a=this.x.redMul(e.x),o=this.y.redMul(e.y),f=this.curve.d.redMul(a).redMul(o),s=i.redSub(f),d=i.redAdd(f),h=this.x.redAdd(this.y).redMul(e.x.redAdd(e.y)).redISub(a).redISub(o),u=n.redMul(s).redMul(h);return this.curve.twisted?(t=n.redMul(d).redMul(o.redSub(this.curve._mulA(a))),r=s.redMul(d)):(t=n.redMul(d).redMul(o.redSub(a)),r=this.curve._mulC(s).redMul(d)),this.curve.point(u,t,r)},d.prototype.add=function(e){return this.isInfinity()?e:e.isInfinity()?this:this.curve.extended?this._extAdd(e):this._projAdd(e)},d.prototype.mul=function(e){return this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve._wnafMul(this,e)},d.prototype.mulAdd=function(e,t,r){return this.curve._wnafMulAdd(1,[this,t],[e,r],2,!1)},d.prototype.jmulAdd=function(e,t,r){return this.curve._wnafMulAdd(1,[this,t],[e,r],2,!0)},d.prototype.normalize=function(){if(this.zOne)return this;var e=this.z.redInvm();return this.x=this.x.redMul(e),this.y=this.y.redMul(e),this.t&&(this.t=this.t.redMul(e)),this.z=this.curve.one,this.zOne=!0,this},d.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},d.prototype.getX=function(){return this.normalize(),this.x.fromRed()},d.prototype.getY=function(){return this.normalize(),this.y.fromRed()},d.prototype.eq=function(e){return this===e||0===this.getX().cmp(e.getX())&&0===this.getY().cmp(e.getY())},d.prototype.eqXToP=function(e){var t=e.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(t))return!0;for(var r=e.clone(),n=this.curve.redN.redMul(this.z);;){if(r.iadd(this.curve.n),r.cmp(this.curve.p)>=0)return!1;if(t.redIAdd(n),0===this.x.cmp(t))return!0}},d.prototype.toP=d.prototype.normalize,d.prototype.mixedAdd=d.prototype.add},function(e,t,r){"use strict";t.sha1=r(65),t.sha224=r(66),t.sha256=r(32),t.sha384=r(67),t.sha512=r(33)},function(e,t,r){"use strict";var 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strict";var n=r(4),i=r(72),a=r(2),o=r(20),f=r(29),s=a.assert,d=r(73),h=r(74);function u(e){if(!(this instanceof u))return new u(e);"string"==typeof e&&(s(o.hasOwnProperty(e),"Unknown curve "+e),e=o[e]),e instanceof o.PresetCurve&&(e={curve:e}),this.curve=e.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=e.curve.g,this.g.precompute(e.curve.n.bitLength()+1),this.hash=e.hash||e.curve.hash}e.exports=u,u.prototype.keyPair=function(e){return new d(this,e)},u.prototype.keyFromPrivate=function(e,t){return d.fromPrivate(this,e,t)},u.prototype.keyFromPublic=function(e,t){return d.fromPublic(this,e,t)},u.prototype.genKeyPair=function(e){e||(e={});for(var t=new i({hash:this.hash,pers:e.pers,persEnc:e.persEnc||"utf8",entropy:e.entropy||f(this.hash.hmacStrength),entropyEnc:e.entropy&&e.entropyEnc||"utf8",nonce:this.n.toArray()}),r=this.n.byteLength(),a=this.n.sub(new n(2));;){var o=new n(t.generate(r));if(!(o.cmp(a)>0))return o.iaddn(1),this.keyFromPrivate(o)}},u.prototype._truncateToN=function(e,t){var r=8*e.byteLength()-this.n.bitLength();return r>0&&(e=e.ushrn(r)),!t&&e.cmp(this.n)>=0?e.sub(this.n):e},u.prototype.sign=function(e,t,r,a){"object"==typeof r&&(a=r,r=null),a||(a={}),t=this.keyFromPrivate(t,r),e=this._truncateToN(new n(e,16));for(var o=this.n.byteLength(),f=t.getPrivate().toArray("be",o),s=e.toArray("be",o),d=new i({hash:this.hash,entropy:f,nonce:s,pers:a.pers,persEnc:a.persEnc||"utf8"}),u=this.n.sub(new n(1)),c=0;;c++){var l=a.k?a.k(c):new n(d.generate(this.n.byteLength()));if(!((l=this._truncateToN(l,!0)).cmpn(1)<=0||l.cmp(u)>=0)){var b=this.g.mul(l);if(!b.isInfinity()){var p=b.getX(),g=p.umod(this.n);if(0!==g.cmpn(0)){var m=l.invm(this.n).mul(g.mul(t.getPrivate()).iadd(e));if(0!==(m=m.umod(this.n)).cmpn(0)){var y=(b.getY().isOdd()?1:0)|(0!==p.cmp(g)?2:0);return a.canonical&&m.cmp(this.nh)>0&&(m=this.n.sub(m),y^=1),new h({r:g,s:m,recoveryParam:y})}}}}}},u.prototype.verify=function(e,t,r,i){e=this._truncateToN(new n(e,16)),r=this.keyFromPublic(r,i);var a=(t=new h(t,"hex")).r,o=t.s;if(a.cmpn(1)<0||a.cmp(this.n)>=0)return!1;if(o.cmpn(1)<0||o.cmp(this.n)>=0)return!1;var f,s=o.invm(this.n),d=s.mul(e).umod(this.n),u=s.mul(a).umod(this.n);return this.curve._maxwellTrick?!(f=this.g.jmulAdd(d,r.getPublic(),u)).isInfinity()&&f.eqXToP(a):!(f=this.g.mulAdd(d,r.getPublic(),u)).isInfinity()&&0===f.getX().umod(this.n).cmp(a)},u.prototype.recoverPubKey=function(e,t,r,i){s((3&r)===r,"The recovery param is more than two bits"),t=new h(t,i);var a=this.n,o=new n(e),f=t.r,d=t.s,u=1&r,c=r>>1;if(f.cmp(this.curve.p.umod(this.curve.n))>=0&&c)throw new Error("Unable to find sencond key candinate");f=c?this.curve.pointFromX(f.add(this.curve.n),u):this.curve.pointFromX(f,u);var l=t.r.invm(a),b=a.sub(o).mul(l).umod(a),p=d.mul(l).umod(a);return this.g.mulAdd(b,f,p)},u.prototype.getKeyRecoveryParam=function(e,t,r,n){if(null!==(t=new h(t,n)).recoveryParam)return t.recoveryParam;for(var i=0;i<4;i++){var a;try{a=this.recoverPubKey(e,t,i)}catch(e){continue}if(a.eq(r))return i}throw new Error("Unable to find valid recovery factor")}},function(e,t,r){"use strict";var n=r(21),i=r(28),a=r(8);function o(e){if(!(this instanceof o))return new o(e);this.hash=e.hash,this.predResist=!!e.predResist,this.outLen=this.hash.outSize,this.minEntropy=e.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var t=i.toArray(e.entropy,e.entropyEnc||"hex"),r=i.toArray(e.nonce,e.nonceEnc||"hex"),n=i.toArray(e.pers,e.persEnc||"hex");a(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(t,r,n)}e.exports=o,o.prototype._init=function(e,t,r){var n=e.concat(t).concat(r);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var i=0;i<this.V.length;i++)this.K[i]=0,this.V[i]=1;this._update(n),this._reseed=1,this.reseedInterval=281474976710656},o.prototype._hmac=function(){return new n.hmac(this.hash,this.K)},o.prototype._update=function(e){var t=this._hmac().update(this.V).update([0]);e&&(t=t.update(e)),this.K=t.digest(),this.V=this._hmac().update(this.V).digest(),e&&(this.K=this._hmac().update(this.V).update([1]).update(e).digest(),this.V=this._hmac().update(this.V).digest())},o.prototype.reseed=function(e,t,r,n){"string"!=typeof t&&(n=r,r=t,t=null),e=i.toArray(e,t),r=i.toArray(r,n),a(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(e.concat(r||[])),this._reseed=1},o.prototype.generate=function(e,t,r,n){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof t&&(n=r,r=t,t=null),r&&(r=i.toArray(r,n||"hex"),this._update(r));for(var a=[];a.length<e;)this.V=this._hmac().update(this.V).digest(),a=a.concat(this.V);var o=a.slice(0,e);return this._update(r),this._reseed++,i.encode(o,t)}},function(e,t,r){"use strict";var n=r(4),i=r(2).assert;function a(e,t){this.ec=e,this.priv=null,this.pub=null,t.priv&&this._importPrivate(t.priv,t.privEnc),t.pub&&this._importPublic(t.pub,t.pubEnc)}e.exports=a,a.fromPublic=function(e,t,r){return t instanceof a?t:new a(e,{pub:t,pubEnc:r})},a.fromPrivate=function(e,t,r){return t instanceof a?t:new a(e,{priv:t,privEnc:r})},a.prototype.validate=function(){var e=this.getPublic();return e.isInfinity()?{result:!1,reason:"Invalid public key"}:e.validate()?e.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},a.prototype.getPublic=function(e,t){return"string"==typeof e&&(t=e,e=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),t?this.pub.encode(t,e):this.pub},a.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},a.prototype._importPrivate=function(e,t){this.priv=new n(e,t||16),this.priv=this.priv.umod(this.ec.curve.n)},a.prototype._importPublic=function(e,t){if(e.x||e.y)return"mont"===this.ec.curve.type?i(e.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||i(e.x&&e.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(e.x,e.y));this.pub=this.ec.curve.decodePoint(e,t)},a.prototype.derive=function(e){return e.mul(this.priv).getX()},a.prototype.sign=function(e,t,r){return this.ec.sign(e,this,t,r)},a.prototype.verify=function(e,t){return this.ec.verify(e,t,this)},a.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},function(e,t,r){"use strict";var n=r(4),i=r(2),a=i.assert;function o(e,t){if(e instanceof o)return e;this._importDER(e,t)||(a(e.r&&e.s,"Signature without r or s"),this.r=new n(e.r,16),this.s=new n(e.s,16),void 0===e.recoveryParam?this.recoveryParam=null:this.recoveryParam=e.recoveryParam)}function f(){this.place=0}function s(e,t){var r=e[t.place++];if(!(128&r))return r;for(var n=15&r,i=0,a=0,o=t.place;a<n;a++,o++)i<<=8,i|=e[o];return t.place=o,i}function d(e){for(var t=0,r=e.length-1;!e[t]&&!(128&e[t+1])&&t<r;)t++;return 0===t?e:e.slice(t)}function h(e,t){if(t<128)e.push(t);else{var r=1+(Math.log(t)/Math.LN2>>>3);for(e.push(128|r);--r;)e.push(t>>>(r<<3)&255);e.push(t)}}e.exports=o,o.prototype._importDER=function(e,t){e=i.toArray(e,t);var r=new 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this._expand(r+1),this.words[r]=t?this.words[r]|1<<f:this.words[r]&~(1<<f),this.strip()},n.prototype.iadd=function(e){var t,r,i;if(0!==this.negative&&0===e.negative)return this.negative=0,t=this.isub(e),this.negative^=1,this._normSign();if(0===this.negative&&0!==e.negative)return e.negative=0,t=this.isub(e),e.negative=1,t._normSign();this.length>e.length?(r=this,i=e):(r=e,i=this);for(var f=0,n=0;n<i.length;n++)t=(0|r.words[n])+(0|i.words[n])+f,this.words[n]=67108863&t,f=t>>>26;for(;0!==f&&n<r.length;n++)t=(0|r.words[n])+f,this.words[n]=67108863&t,f=t>>>26;if(this.length=r.length,0!==f)this.words[this.length]=f,this.length++;else if(r!==this)for(;n<r.length;n++)this.words[n]=r.words[n];return this},n.prototype.add=function(e){var t;return 0!==e.negative&&0===this.negative?(e.negative=0,t=this.sub(e),e.negative^=1,t):0===e.negative&&0!==this.negative?(this.negative=0,t=e.sub(this),this.negative=1,t):this.length>e.length?this.clone().iadd(e):e.clone().iadd(this)},n.prototype.isub=function(e){if(0!==e.negative){e.negative=0;var t=this.iadd(e);return e.negative=1,t._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(e),this.negative=1,this._normSign();var r,i,f=this.cmp(e);if(0===f)return this.negative=0,this.length=1,this.words[0]=0,this;f>0?(r=this,i=e):(r=e,i=this);for(var n=0,d=0;d<i.length;d++)n=(t=(0|r.words[d])-(0|i.words[d])+n)>>26,this.words[d]=67108863&t;for(;0!==n&&d<r.length;d++)n=(t=(0|r.words[d])+n)>>26,this.words[d]=67108863&t;if(0===n&&d<r.length&&r!==this)for(;d<r.length;d++)this.words[d]=r.words[d];return this.length=Math.max(this.length,d),r!==this&&(this.negative=1),this.strip()},n.prototype.sub=function(e){return this.clone().isub(e)};var b=function(e,t,r){var i,f,n,d=e.words,a=t.words,c=r.words,s=0,o=0|d[0],h=8191&o,u=o>>>13,b=0|d[1],l=8191&b,p=b>>>13,m=0|d[2],v=8191&m,y=m>>>13,g=0|d[3],w=8191&g,M=g>>>13,S=0|d[4],A=8191&S,_=S>>>13,x=0|d[5],I=8191&x,k=x>>>13,z=0|d[6],q=8191&z,R=z>>>13,P=0|d[7],E=8191&P,N=P>>>13,j=0|d[8],L=8191&j,B=j>>>13,O=0|d[9],K=8191&O,T=O>>>13,C=0|a[0],F=8191&C,Z=C>>>13,U=0|a[1],V=8191&U,J=U>>>13,H=0|a[2],X=8191&H,D=H>>>13,W=0|a[3],Y=8191&W,$=W>>>13,Q=0|a[4],G=8191&Q,ee=Q>>>13,te=0|a[5],re=8191&te,ie=te>>>13,fe=0|a[6],ne=8191&fe,de=fe>>>13,ae=0|a[7],ce=8191&ae,se=ae>>>13,oe=0|a[8],he=8191&oe,ue=oe>>>13,be=0|a[9],le=8191&be,pe=be>>>13;r.negative=e.negative^t.negative,r.length=19;var me=(s+(i=Math.imul(h,F))|0)+((8191&(f=(f=Math.imul(h,Z))+Math.imul(u,F)|0))<<13)|0;s=((n=Math.imul(u,Z))+(f>>>13)|0)+(me>>>26)|0,me&=67108863,i=Math.imul(l,F),f=(f=Math.imul(l,Z))+Math.imul(p,F)|0,n=Math.imul(p,Z);var ve=(s+(i=i+Math.imul(h,V)|0)|0)+((8191&(f=(f=f+Math.imul(h,J)|0)+Math.imul(u,V)|0))<<13)|0;s=((n=n+Math.imul(u,J)|0)+(f>>>13)|0)+(ve>>>26)|0,ve&=67108863,i=Math.imul(v,F),f=(f=Math.imul(v,Z))+Math.imul(y,F)|0,n=Math.imul(y,Z),i=i+Math.imul(l,V)|0,f=(f=f+Math.imul(l,J)|0)+Math.imul(p,V)|0,n=n+Math.imul(p,J)|0;var ye=(s+(i=i+Math.imul(h,X)|0)|0)+((8191&(f=(f=f+Math.imul(h,D)|0)+Math.imul(u,X)|0))<<13)|0;s=((n=n+Math.imul(u,D)|0)+(f>>>13)|0)+(ye>>>26)|0,ye&=67108863,i=Math.imul(w,F),f=(f=Math.imul(w,Z))+Math.imul(M,F)|0,n=Math.imul(M,Z),i=i+Math.imul(v,V)|0,f=(f=f+Math.imul(v,J)|0)+Math.imul(y,V)|0,n=n+Math.imul(y,J)|0,i=i+Math.imul(l,X)|0,f=(f=f+Math.imul(l,D)|0)+Math.imul(p,X)|0,n=n+Math.imul(p,D)|0;var ge=(s+(i=i+Math.imul(h,Y)|0)|0)+((8191&(f=(f=f+Math.imul(h,$)|0)+Math.imul(u,Y)|0))<<13)|0;s=((n=n+Math.imul(u,$)|0)+(f>>>13)|0)+(ge>>>26)|0,ge&=67108863,i=Math.imul(A,F),f=(f=Math.imul(A,Z))+Math.imul(_,F)|0,n=Math.imul(_,Z),i=i+Math.imul(w,V)|0,f=(f=f+Math.imul(w,J)|0)+Math.imul(M,V)|0,n=n+Math.imul(M,J)|0,i=i+Math.imul(v,X)|0,f=(f=f+Math.imul(v,D)|0)+Math.imul(y,X)|0,n=n+Math.imul(y,D)|0,i=i+Math.imul(l,Y)|0,f=(f=f+Math.imul(l,$)|0)+Math.imul(p,Y)|0,n=n+Math.imul(p,$)|0;var we=(s+(i=i+Math.imul(h,G)|0)|0)+((8191&(f=(f=f+Math.imul(h,ee)|0)+Math.imul(u,G)|0))<<13)|0;s=((n=n+Math.imul(u,ee)|0)+(f>>>13)|0)+(we>>>26)|0,we&=67108863,i=Math.imul(I,F),f=(f=Math.imul(I,Z))+Math.imul(k,F)|0,n=Math.imul(k,Z),i=i+Math.imul(A,V)|0,f=(f=f+Math.imul(A,J)|0)+Math.imul(_,V)|0,n=n+Math.imul(_,J)|0,i=i+Math.imul(w,X)|0,f=(f=f+Math.imul(w,D)|0)+Math.imul(M,X)|0,n=n+Math.imul(M,D)|0,i=i+Math.imul(v,Y)|0,f=(f=f+Math.imul(v,$)|0)+Math.imul(y,Y)|0,n=n+Math.imul(y,$)|0,i=i+Math.imul(l,G)|0,f=(f=f+Math.imul(l,ee)|0)+Math.imul(p,G)|0,n=n+Math.imul(p,ee)|0;var Me=(s+(i=i+Math.imul(h,re)|0)|0)+((8191&(f=(f=f+Math.imul(h,ie)|0)+Math.imul(u,re)|0))<<13)|0;s=((n=n+Math.imul(u,ie)|0)+(f>>>13)|0)+(Me>>>26)|0,Me&=67108863,i=Math.imul(q,F),f=(f=Math.imul(q,Z))+Math.imul(R,F)|0,n=Math.imul(R,Z),i=i+Math.imul(I,V)|0,f=(f=f+Math.imul(I,J)|0)+Math.imul(k,V)|0,n=n+Math.imul(k,J)|0,i=i+Math.imul(A,X)|0,f=(f=f+Math.imul(A,D)|0)+Math.imul(_,X)|0,n=n+Math.imul(_,D)|0,i=i+Math.imul(w,Y)|0,f=(f=f+Math.imul(w,$)|0)+Math.imul(M,Y)|0,n=n+Math.imul(M,$)|0,i=i+Math.imul(v,G)|0,f=(f=f+Math.imul(v,ee)|0)+Math.imul(y,G)|0,n=n+Math.imul(y,ee)|0,i=i+Math.imul(l,re)|0,f=(f=f+Math.imul(l,ie)|0)+Math.imul(p,re)|0,n=n+Math.imul(p,ie)|0;var Se=(s+(i=i+Math.imul(h,ne)|0)|0)+((8191&(f=(f=f+Math.imul(h,de)|0)+Math.imul(u,ne)|0))<<13)|0;s=((n=n+Math.imul(u,de)|0)+(f>>>13)|0)+(Se>>>26)|0,Se&=67108863,i=Math.imul(E,F),f=(f=Math.imul(E,Z))+Math.imul(N,F)|0,n=Math.imul(N,Z),i=i+Math.imul(q,V)|0,f=(f=f+Math.imul(q,J)|0)+Math.imul(R,V)|0,n=n+Math.imul(R,J)|0,i=i+Math.imul(I,X)|0,f=(f=f+Math.imul(I,D)|0)+Math.imul(k,X)|0,n=n+Math.imul(k,D)|0,i=i+Math.imul(A,Y)|0,f=(f=f+Math.imul(A,$)|0)+Math.imul(_,Y)|0,n=n+Math.imul(_,$)|0,i=i+Math.imul(w,G)|0,f=(f=f+Math.imul(w,ee)|0)+Math.imul(M,G)|0,n=n+Math.imul(M,ee)|0,i=i+Math.imul(v,re)|0,f=(f=f+Math.imul(v,ie)|0)+Math.imul(y,re)|0,n=n+Math.imul(y,ie)|0,i=i+Math.imul(l,ne)|0,f=(f=f+Math.imul(l,de)|0)+Math.imul(p,ne)|0,n=n+Math.imul(p,de)|0;var Ae=(s+(i=i+Math.imul(h,ce)|0)|0)+((8191&(f=(f=f+Math.imul(h,se)|0)+Math.imul(u,ce)|0))<<13)|0;s=((n=n+Math.imul(u,se)|0)+(f>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,i=Math.imul(L,F),f=(f=Math.imul(L,Z))+Math.imul(B,F)|0,n=Math.imul(B,Z),i=i+Math.imul(E,V)|0,f=(f=f+Math.imul(E,J)|0)+Math.imul(N,V)|0,n=n+Math.imul(N,J)|0,i=i+Math.imul(q,X)|0,f=(f=f+Math.imul(q,D)|0)+Math.imul(R,X)|0,n=n+Math.imul(R,D)|0,i=i+Math.imul(I,Y)|0,f=(f=f+Math.imul(I,$)|0)+Math.imul(k,Y)|0,n=n+Math.imul(k,$)|0,i=i+Math.imul(A,G)|0,f=(f=f+Math.imul(A,ee)|0)+Math.imul(_,G)|0,n=n+Math.imul(_,ee)|0,i=i+Math.imul(w,re)|0,f=(f=f+Math.imul(w,ie)|0)+Math.imul(M,re)|0,n=n+Math.imul(M,ie)|0,i=i+Math.imul(v,ne)|0,f=(f=f+Math.imul(v,de)|0)+Math.imul(y,ne)|0,n=n+Math.imul(y,de)|0,i=i+Math.imul(l,ce)|0,f=(f=f+Math.imul(l,se)|0)+Math.imul(p,ce)|0,n=n+Math.imul(p,se)|0;var _e=(s+(i=i+Math.imul(h,he)|0)|0)+((8191&(f=(f=f+Math.imul(h,ue)|0)+Math.imul(u,he)|0))<<13)|0;s=((n=n+Math.imul(u,ue)|0)+(f>>>13)|0)+(_e>>>26)|0,_e&=67108863,i=Math.imul(K,F),f=(f=Math.imul(K,Z))+Math.imul(T,F)|0,n=Math.imul(T,Z),i=i+Math.imul(L,V)|0,f=(f=f+Math.imul(L,J)|0)+Math.imul(B,V)|0,n=n+Math.imul(B,J)|0,i=i+Math.imul(E,X)|0,f=(f=f+Math.imul(E,D)|0)+Math.imul(N,X)|0,n=n+Math.imul(N,D)|0,i=i+Math.imul(q,Y)|0,f=(f=f+Math.imul(q,$)|0)+Math.imul(R,Y)|0,n=n+Math.imul(R,$)|0,i=i+Math.imul(I,G)|0,f=(f=f+Math.imul(I,ee)|0)+Math.imul(k,G)|0,n=n+Math.imul(k,ee)|0,i=i+Math.imul(A,re)|0,f=(f=f+Math.imul(A,ie)|0)+Math.imul(_,re)|0,n=n+Math.imul(_,ie)|0,i=i+Math.imul(w,ne)|0,f=(f=f+Math.imul(w,de)|0)+Math.imul(M,ne)|0,n=n+Math.imul(M,de)|0,i=i+Math.imul(v,ce)|0,f=(f=f+Math.imul(v,se)|0)+Math.imul(y,ce)|0,n=n+Math.imul(y,se)|0,i=i+Math.imul(l,he)|0,f=(f=f+Math.imul(l,ue)|0)+Math.imul(p,he)|0,n=n+Math.imul(p,ue)|0;var xe=(s+(i=i+Math.imul(h,le)|0)|0)+((8191&(f=(f=f+Math.imul(h,pe)|0)+Math.imul(u,le)|0))<<13)|0;s=((n=n+Math.imul(u,pe)|0)+(f>>>13)|0)+(xe>>>26)|0,xe&=67108863,i=Math.imul(K,V),f=(f=Math.imul(K,J))+Math.imul(T,V)|0,n=Math.imul(T,J),i=i+Math.imul(L,X)|0,f=(f=f+Math.imul(L,D)|0)+Math.imul(B,X)|0,n=n+Math.imul(B,D)|0,i=i+Math.imul(E,Y)|0,f=(f=f+Math.imul(E,$)|0)+Math.imul(N,Y)|0,n=n+Math.imul(N,$)|0,i=i+Math.imul(q,G)|0,f=(f=f+Math.imul(q,ee)|0)+Math.imul(R,G)|0,n=n+Math.imul(R,ee)|0,i=i+Math.imul(I,re)|0,f=(f=f+Math.imul(I,ie)|0)+Math.imul(k,re)|0,n=n+Math.imul(k,ie)|0,i=i+Math.imul(A,ne)|0,f=(f=f+Math.imul(A,de)|0)+Math.imul(_,ne)|0,n=n+Math.imul(_,de)|0,i=i+Math.imul(w,ce)|0,f=(f=f+Math.imul(w,se)|0)+Math.imul(M,ce)|0,n=n+Math.imul(M,se)|0,i=i+Math.imul(v,he)|0,f=(f=f+Math.imul(v,ue)|0)+Math.imul(y,he)|0,n=n+Math.imul(y,ue)|0;var Ie=(s+(i=i+Math.imul(l,le)|0)|0)+((8191&(f=(f=f+Math.imul(l,pe)|0)+Math.imul(p,le)|0))<<13)|0;s=((n=n+Math.imul(p,pe)|0)+(f>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,i=Math.imul(K,X),f=(f=Math.imul(K,D))+Math.imul(T,X)|0,n=Math.imul(T,D),i=i+Math.imul(L,Y)|0,f=(f=f+Math.imul(L,$)|0)+Math.imul(B,Y)|0,n=n+Math.imul(B,$)|0,i=i+Math.imul(E,G)|0,f=(f=f+Math.imul(E,ee)|0)+Math.imul(N,G)|0,n=n+Math.imul(N,ee)|0,i=i+Math.imul(q,re)|0,f=(f=f+Math.imul(q,ie)|0)+Math.imul(R,re)|0,n=n+Math.imul(R,ie)|0,i=i+Math.imul(I,ne)|0,f=(f=f+Math.imul(I,de)|0)+Math.imul(k,ne)|0,n=n+Math.imul(k,de)|0,i=i+Math.imul(A,ce)|0,f=(f=f+Math.imul(A,se)|0)+Math.imul(_,ce)|0,n=n+Math.imul(_,se)|0,i=i+Math.imul(w,he)|0,f=(f=f+Math.imul(w,ue)|0)+Math.imul(M,he)|0,n=n+Math.imul(M,ue)|0;var ke=(s+(i=i+Math.imul(v,le)|0)|0)+((8191&(f=(f=f+Math.imul(v,pe)|0)+Math.imul(y,le)|0))<<13)|0;s=((n=n+Math.imul(y,pe)|0)+(f>>>13)|0)+(ke>>>26)|0,ke&=67108863,i=Math.imul(K,Y),f=(f=Math.imul(K,$))+Math.imul(T,Y)|0,n=Math.imul(T,$),i=i+Math.imul(L,G)|0,f=(f=f+Math.imul(L,ee)|0)+Math.imul(B,G)|0,n=n+Math.imul(B,ee)|0,i=i+Math.imul(E,re)|0,f=(f=f+Math.imul(E,ie)|0)+Math.imul(N,re)|0,n=n+Math.imul(N,ie)|0,i=i+Math.imul(q,ne)|0,f=(f=f+Math.imul(q,de)|0)+Math.imul(R,ne)|0,n=n+Math.imul(R,de)|0,i=i+Math.imul(I,ce)|0,f=(f=f+Math.imul(I,se)|0)+Math.imul(k,ce)|0,n=n+Math.imul(k,se)|0,i=i+Math.imul(A,he)|0,f=(f=f+Math.imul(A,ue)|0)+Math.imul(_,he)|0,n=n+Math.imul(_,ue)|0;var ze=(s+(i=i+Math.imul(w,le)|0)|0)+((8191&(f=(f=f+Math.imul(w,pe)|0)+Math.imul(M,le)|0))<<13)|0;s=((n=n+Math.imul(M,pe)|0)+(f>>>13)|0)+(ze>>>26)|0,ze&=67108863,i=Math.imul(K,G),f=(f=Math.imul(K,ee))+Math.imul(T,G)|0,n=Math.imul(T,ee),i=i+Math.imul(L,re)|0,f=(f=f+Math.imul(L,ie)|0)+Math.imul(B,re)|0,n=n+Math.imul(B,ie)|0,i=i+Math.imul(E,ne)|0,f=(f=f+Math.imul(E,de)|0)+Math.imul(N,ne)|0,n=n+Math.imul(N,de)|0,i=i+Math.imul(q,ce)|0,f=(f=f+Math.imul(q,se)|0)+Math.imul(R,ce)|0,n=n+Math.imul(R,se)|0,i=i+Math.imul(I,he)|0,f=(f=f+Math.imul(I,ue)|0)+Math.imul(k,he)|0,n=n+Math.imul(k,ue)|0;var qe=(s+(i=i+Math.imul(A,le)|0)|0)+((8191&(f=(f=f+Math.imul(A,pe)|0)+Math.imul(_,le)|0))<<13)|0;s=((n=n+Math.imul(_,pe)|0)+(f>>>13)|0)+(qe>>>26)|0,qe&=67108863,i=Math.imul(K,re),f=(f=Math.imul(K,ie))+Math.imul(T,re)|0,n=Math.imul(T,ie),i=i+Math.imul(L,ne)|0,f=(f=f+Math.imul(L,de)|0)+Math.imul(B,ne)|0,n=n+Math.imul(B,de)|0,i=i+Math.imul(E,ce)|0,f=(f=f+Math.imul(E,se)|0)+Math.imul(N,ce)|0,n=n+Math.imul(N,se)|0,i=i+Math.imul(q,he)|0,f=(f=f+Math.imul(q,ue)|0)+Math.imul(R,he)|0,n=n+Math.imul(R,ue)|0;var Re=(s+(i=i+Math.imul(I,le)|0)|0)+((8191&(f=(f=f+Math.imul(I,pe)|0)+Math.imul(k,le)|0))<<13)|0;s=((n=n+Math.imul(k,pe)|0)+(f>>>13)|0)+(Re>>>26)|0,Re&=67108863,i=Math.imul(K,ne),f=(f=Math.imul(K,de))+Math.imul(T,ne)|0,n=Math.imul(T,de),i=i+Math.imul(L,ce)|0,f=(f=f+Math.imul(L,se)|0)+Math.imul(B,ce)|0,n=n+Math.imul(B,se)|0,i=i+Math.imul(E,he)|0,f=(f=f+Math.imul(E,ue)|0)+Math.imul(N,he)|0,n=n+Math.imul(N,ue)|0;var Pe=(s+(i=i+Math.imul(q,le)|0)|0)+((8191&(f=(f=f+Math.imul(q,pe)|0)+Math.imul(R,le)|0))<<13)|0;s=((n=n+Math.imul(R,pe)|0)+(f>>>13)|0)+(Pe>>>26)|0,Pe&=67108863,i=Math.imul(K,ce),f=(f=Math.imul(K,se))+Math.imul(T,ce)|0,n=Math.imul(T,se),i=i+Math.imul(L,he)|0,f=(f=f+Math.imul(L,ue)|0)+Math.imul(B,he)|0,n=n+Math.imul(B,ue)|0;var Ee=(s+(i=i+Math.imul(E,le)|0)|0)+((8191&(f=(f=f+Math.imul(E,pe)|0)+Math.imul(N,le)|0))<<13)|0;s=((n=n+Math.imul(N,pe)|0)+(f>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,i=Math.imul(K,he),f=(f=Math.imul(K,ue))+Math.imul(T,he)|0,n=Math.imul(T,ue);var Ne=(s+(i=i+Math.imul(L,le)|0)|0)+((8191&(f=(f=f+Math.imul(L,pe)|0)+Math.imul(B,le)|0))<<13)|0;s=((n=n+Math.imul(B,pe)|0)+(f>>>13)|0)+(Ne>>>26)|0,Ne&=67108863;var je=(s+(i=Math.imul(K,le))|0)+((8191&(f=(f=Math.imul(K,pe))+Math.imul(T,le)|0))<<13)|0;return s=((n=Math.imul(T,pe))+(f>>>13)|0)+(je>>>26)|0,je&=67108863,c[0]=me,c[1]=ve,c[2]=ye,c[3]=ge,c[4]=we,c[5]=Me,c[6]=Se,c[7]=Ae,c[8]=_e,c[9]=xe,c[10]=Ie,c[11]=ke,c[12]=ze,c[13]=qe,c[14]=Re,c[15]=Pe,c[16]=Ee,c[17]=Ne,c[18]=je,0!==s&&(c[19]=s,r.length++),r};function l(e,t,r){return(new p).mulp(e,t,r)}function p(e,t){this.x=e,this.y=t}Math.imul||(b=u),n.prototype.mulTo=function(e,t){var r=this.length+e.length;return 10===this.length&&10===e.length?b(this,e,t):r<63?u(this,e,t):r<1024?function(e,t,r){r.negative=t.negative^e.negative,r.length=e.length+t.length;for(var i=0,f=0,n=0;n<r.length-1;n++){var d=f;f=0;for(var a=67108863&i,c=Math.min(n,t.length-1),s=Math.max(0,n-e.length+1);s<=c;s++){var o=n-s,h=(0|e.words[o])*(0|t.words[s]),u=67108863&h;a=67108863&(u=u+a|0),f+=(d=(d=d+(h/67108864|0)|0)+(u>>>26)|0)>>>26,d&=67108863}r.words[n]=a,i=d,d=f}return 0!==i?r.words[n]=i:r.length--,r.strip()}(this,e,t):l(this,e,t)},p.prototype.makeRBT=function(e){for(var t=new Array(e),r=n.prototype._countBits(e)-1,i=0;i<e;i++)t[i]=this.revBin(i,r,e);return t},p.prototype.revBin=function(e,t,r){if(0===e||e===r-1)return e;for(var i=0,f=0;f<t;f++)i|=(1&e)<<t-f-1,e>>=1;return i},p.prototype.permute=function(e,t,r,i,f,n){for(var d=0;d<n;d++)i[d]=t[e[d]],f[d]=r[e[d]]},p.prototype.transform=function(e,t,r,i,f,n){this.permute(n,e,t,r,i,f);for(var d=1;d<f;d<<=1)for(var a=d<<1,c=Math.cos(2*Math.PI/a),s=Math.sin(2*Math.PI/a),o=0;o<f;o+=a)for(var h=c,u=s,b=0;b<d;b++){var l=r[o+b],p=i[o+b],m=r[o+b+d],v=i[o+b+d],y=h*m-u*v;v=h*v+u*m,m=y,r[o+b]=l+m,i[o+b]=p+v,r[o+b+d]=l-m,i[o+b+d]=p-v,b!==a&&(y=c*h-s*u,u=c*u+s*h,h=y)}},p.prototype.guessLen13b=function(e,t){var r=1|Math.max(t,e),i=1&r,f=0;for(r=r/2|0;r;r>>>=1)f++;return 1<<f+1+i},p.prototype.conjugate=function(e,t,r){if(!(r<=1))for(var i=0;i<r/2;i++){var f=e[i];e[i]=e[r-i-1],e[r-i-1]=f,f=t[i],t[i]=-t[r-i-1],t[r-i-1]=-f}},p.prototype.normalize13b=function(e,t){for(var r=0,i=0;i<t/2;i++){var f=8192*Math.round(e[2*i+1]/t)+Math.round(e[2*i]/t)+r;e[i]=67108863&f,r=f<67108864?0:f/67108864|0}return e},p.prototype.convert13b=function(e,t,r,f){for(var n=0,d=0;d<t;d++)n+=0|e[d],r[2*d]=8191&n,n>>>=13,r[2*d+1]=8191&n,n>>>=13;for(d=2*t;d<f;++d)r[d]=0;i(0===n),i(0==(-8192&n))},p.prototype.stub=function(e){for(var t=new Array(e),r=0;r<e;r++)t[r]=0;return t},p.prototype.mulp=function(e,t,r){var i=2*this.guessLen13b(e.length,t.length),f=this.makeRBT(i),n=this.stub(i),d=new Array(i),a=new Array(i),c=new Array(i),s=new Array(i),o=new Array(i),h=new Array(i),u=r.words;u.length=i,this.convert13b(e.words,e.length,d,i),this.convert13b(t.words,t.length,s,i),this.transform(d,n,a,c,i,f),this.transform(s,n,o,h,i,f);for(var b=0;b<i;b++){var l=a[b]*o[b]-c[b]*h[b];c[b]=a[b]*h[b]+c[b]*o[b],a[b]=l}return this.conjugate(a,c,i),this.transform(a,c,u,n,i,f),this.conjugate(u,n,i),this.normalize13b(u,i),r.negative=e.negative^t.negative,r.length=e.length+t.length,r.strip()},n.prototype.mul=function(e){var t=new n(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},n.prototype.mulf=function(e){var t=new n(null);return t.words=new Array(this.length+e.length),l(this,e,t)},n.prototype.imul=function(e){return this.clone().mulTo(e,this)},n.prototype.imuln=function(e){i("number"==typeof e),i(e<67108864);for(var t=0,r=0;r<this.length;r++){var f=(0|this.words[r])*e,n=(67108863&f)+(67108863&t);t>>=26,t+=f/67108864|0,t+=n>>>26,this.words[r]=67108863&n}return 0!==t&&(this.words[r]=t,this.length++),this},n.prototype.muln=function(e){return this.clone().imuln(e)},n.prototype.sqr=function(){return this.mul(this)},n.prototype.isqr=function(){return this.imul(this.clone())},n.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),r=0;r<t.length;r++){var i=r/26|0,f=r%26;t[r]=(e.words[i]&1<<f)>>>f}return t}(e);if(0===t.length)return new n(1);for(var r=this,i=0;i<t.length&&0===t[i];i++,r=r.sqr());if(++i<t.length)for(var f=r.sqr();i<t.length;i++,f=f.sqr())0!==t[i]&&(r=r.mul(f));return r},n.prototype.iushln=function(e){i("number"==typeof e&&e>=0);var t,r=e%26,f=(e-r)/26,n=67108863>>>26-r<<26-r;if(0!==r){var d=0;for(t=0;t<this.length;t++){var a=this.words[t]&n,c=(0|this.words[t])-a<<r;this.words[t]=c|d,d=a>>>26-r}d&&(this.words[t]=d,this.length++)}if(0!==f){for(t=this.length-1;t>=0;t--)this.words[t+f]=this.words[t];for(t=0;t<f;t++)this.words[t]=0;this.length+=f}return this.strip()},n.prototype.ishln=function(e){return i(0===this.negative),this.iushln(e)},n.prototype.iushrn=function(e,t,r){var f;i("number"==typeof e&&e>=0),f=t?(t-t%26)/26:0;var n=e%26,d=Math.min((e-n)/26,this.length),a=67108863^67108863>>>n<<n,c=r;if(f-=d,f=Math.max(0,f),c){for(var s=0;s<d;s++)c.words[s]=this.words[s];c.length=d}if(0===d);else if(this.length>d)for(this.length-=d,s=0;s<this.length;s++)this.words[s]=this.words[s+d];else this.words[0]=0,this.length=1;var o=0;for(s=this.length-1;s>=0&&(0!==o||s>=f);s--){var h=0|this.words[s];this.words[s]=o<<26-n|h>>>n,o=h&a}return c&&0!==o&&(c.words[c.length++]=o),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},n.prototype.ishrn=function(e,t,r){return i(0===this.negative),this.iushrn(e,t,r)},n.prototype.shln=function(e){return this.clone().ishln(e)},n.prototype.ushln=function(e){return this.clone().iushln(e)},n.prototype.shrn=function(e){return this.clone().ishrn(e)},n.prototype.ushrn=function(e){return this.clone().iushrn(e)},n.prototype.testn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26,f=1<<t;return!(this.length<=r)&&!!(this.words[r]&f)},n.prototype.imaskn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==t&&r++,this.length=Math.min(r,this.length),0!==t){var f=67108863^67108863>>>t<<t;this.words[this.length-1]&=f}return this.strip()},n.prototype.maskn=function(e){return this.clone().imaskn(e)},n.prototype.iaddn=function(e){return i("number"==typeof e),i(e<67108864),e<0?this.isubn(-e):0!==this.negative?1===this.length&&(0|this.words[0])<e?(this.words[0]=e-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(e),this.negative=1,this):this._iaddn(e)},n.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},n.prototype.isubn=function(e){if(i("number"==typeof e),i(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this.strip()},n.prototype.addn=function(e){return this.clone().iaddn(e)},n.prototype.subn=function(e){return this.clone().isubn(e)},n.prototype.iabs=function(){return this.negative=0,this},n.prototype.abs=function(){return this.clone().iabs()},n.prototype._ishlnsubmul=function(e,t,r){var f,n,d=e.length+r;this._expand(d);var a=0;for(f=0;f<e.length;f++){n=(0|this.words[f+r])+a;var c=(0|e.words[f])*t;a=((n-=67108863&c)>>26)-(c/67108864|0),this.words[f+r]=67108863&n}for(;f<this.length-r;f++)a=(n=(0|this.words[f+r])+a)>>26,this.words[f+r]=67108863&n;if(0===a)return this.strip();for(i(-1===a),a=0,f=0;f<this.length;f++)a=(n=-(0|this.words[f])+a)>>26,this.words[f]=67108863&n;return this.negative=1,this.strip()},n.prototype._wordDiv=function(e,t){var r=(this.length,e.length),i=this.clone(),f=e,d=0|f.words[f.length-1];0!==(r=26-this._countBits(d))&&(f=f.ushln(r),i.iushln(r),d=0|f.words[f.length-1]);var a,c=i.length-f.length;if("mod"!==t){(a=new n(null)).length=c+1,a.words=new Array(a.length);for(var s=0;s<a.length;s++)a.words[s]=0}var o=i.clone()._ishlnsubmul(f,1,c);0===o.negative&&(i=o,a&&(a.words[c]=1));for(var h=c-1;h>=0;h--){var u=67108864*(0|i.words[f.length+h])+(0|i.words[f.length+h-1]);for(u=Math.min(u/d|0,67108863),i._ishlnsubmul(f,u,h);0!==i.negative;)u--,i.negative=0,i._ishlnsubmul(f,1,h),i.isZero()||(i.negative^=1);a&&(a.words[h]=u)}return a&&a.strip(),i.strip(),"div"!==t&&0!==r&&i.iushrn(r),{div:a||null,mod:i}},n.prototype.divmod=function(e,t,r){return i(!e.isZero()),this.isZero()?{div:new n(0),mod:new n(0)}:0!==this.negative&&0===e.negative?(a=this.neg().divmod(e,t),"mod"!==t&&(f=a.div.neg()),"div"!==t&&(d=a.mod.neg(),r&&0!==d.negative&&d.iadd(e)),{div:f,mod:d}):0===this.negative&&0!==e.negative?(a=this.divmod(e.neg(),t),"mod"!==t&&(f=a.div.neg()),{div:f,mod:a.mod}):0!=(this.negative&e.negative)?(a=this.neg().divmod(e.neg(),t),"div"!==t&&(d=a.mod.neg(),r&&0!==d.negative&&d.isub(e)),{div:a.div,mod:d}):e.length>this.length||this.cmp(e)<0?{div:new n(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new n(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new n(this.modn(e.words[0]))}:this._wordDiv(e,t);var f,d,a},n.prototype.div=function(e){return this.divmod(e,"div",!1).div},n.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},n.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},n.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var r=0!==t.div.negative?t.mod.isub(e):t.mod,i=e.ushrn(1),f=e.andln(1),n=r.cmp(i);return n<0||1===f&&0===n?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},n.prototype.modn=function(e){i(e<=67108863);for(var t=(1<<26)%e,r=0,f=this.length-1;f>=0;f--)r=(t*r+(0|this.words[f]))%e;return r},n.prototype.idivn=function(e){i(e<=67108863);for(var t=0,r=this.length-1;r>=0;r--){var f=(0|this.words[r])+67108864*t;this.words[r]=f/e|0,t=f%e}return this.strip()},n.prototype.divn=function(e){return this.clone().idivn(e)},n.prototype.egcd=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var f=new n(1),d=new n(0),a=new n(0),c=new n(1),s=0;t.isEven()&&r.isEven();)t.iushrn(1),r.iushrn(1),++s;for(var o=r.clone(),h=t.clone();!t.isZero();){for(var u=0,b=1;0==(t.words[0]&b)&&u<26;++u,b<<=1);if(u>0)for(t.iushrn(u);u-- >0;)(f.isOdd()||d.isOdd())&&(f.iadd(o),d.isub(h)),f.iushrn(1),d.iushrn(1);for(var l=0,p=1;0==(r.words[0]&p)&&l<26;++l,p<<=1);if(l>0)for(r.iushrn(l);l-- >0;)(a.isOdd()||c.isOdd())&&(a.iadd(o),c.isub(h)),a.iushrn(1),c.iushrn(1);t.cmp(r)>=0?(t.isub(r),f.isub(a),d.isub(c)):(r.isub(t),a.isub(f),c.isub(d))}return{a:a,b:c,gcd:r.iushln(s)}},n.prototype._invmp=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var f,d=new n(1),a=new n(0),c=r.clone();t.cmpn(1)>0&&r.cmpn(1)>0;){for(var s=0,o=1;0==(t.words[0]&o)&&s<26;++s,o<<=1);if(s>0)for(t.iushrn(s);s-- >0;)d.isOdd()&&d.iadd(c),d.iushrn(1);for(var h=0,u=1;0==(r.words[0]&u)&&h<26;++h,u<<=1);if(h>0)for(r.iushrn(h);h-- >0;)a.isOdd()&&a.iadd(c),a.iushrn(1);t.cmp(r)>=0?(t.isub(r),d.isub(a)):(r.isub(t),a.isub(d))}return(f=0===t.cmpn(1)?d:a).cmpn(0)<0&&f.iadd(e),f},n.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),r=e.clone();t.negative=0,r.negative=0;for(var i=0;t.isEven()&&r.isEven();i++)t.iushrn(1),r.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;r.isEven();)r.iushrn(1);var f=t.cmp(r);if(f<0){var n=t;t=r,r=n}else if(0===f||0===r.cmpn(1))break;t.isub(r)}return r.iushln(i)},n.prototype.invm=function(e){return this.egcd(e).a.umod(e)},n.prototype.isEven=function(){return 0==(1&this.words[0])},n.prototype.isOdd=function(){return 1==(1&this.words[0])},n.prototype.andln=function(e){return this.words[0]&e},n.prototype.bincn=function(e){i("number"==typeof e);var t=e%26,r=(e-t)/26,f=1<<t;if(this.length<=r)return this._expand(r+1),this.words[r]|=f,this;for(var n=f,d=r;0!==n&&d<this.length;d++){var a=0|this.words[d];n=(a+=n)>>>26,a&=67108863,this.words[d]=a}return 0!==n&&(this.words[d]=n,this.length++),this},n.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},n.prototype.cmpn=function(e){var t,r=e<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)t=1;else{r&&(e=-e),i(e<=67108863,"Number is too big");var f=0|this.words[0];t=f===e?0:f<e?-1:1}return 0!==this.negative?0|-t:t},n.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;var t=this.ucmp(e);return 0!==this.negative?0|-t:t},n.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var i=0|this.words[r],f=0|e.words[r];if(i!==f){i<f?t=-1:i>f&&(t=1);break}}return t},n.prototype.gtn=function(e){return 1===this.cmpn(e)},n.prototype.gt=function(e){return 1===this.cmp(e)},n.prototype.gten=function(e){return this.cmpn(e)>=0},n.prototype.gte=function(e){return this.cmp(e)>=0},n.prototype.ltn=function(e){return-1===this.cmpn(e)},n.prototype.lt=function(e){return-1===this.cmp(e)},n.prototype.lten=function(e){return this.cmpn(e)<=0},n.prototype.lte=function(e){return this.cmp(e)<=0},n.prototype.eqn=function(e){return 0===this.cmpn(e)},n.prototype.eq=function(e){return 0===this.cmp(e)},n.red=function(e){return new S(e)},n.prototype.toRed=function(e){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},n.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},n.prototype._forceRed=function(e){return this.red=e,this},n.prototype.forceRed=function(e){return i(!this.red,"Already a number in reduction context"),this._forceRed(e)},n.prototype.redAdd=function(e){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},n.prototype.redIAdd=function(e){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},n.prototype.redSub=function(e){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},n.prototype.redISub=function(e){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},n.prototype.redShl=function(e){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},n.prototype.redMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},n.prototype.redIMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},n.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},n.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},n.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},n.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},n.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},n.prototype.redPow=function(e){return i(this.red&&!e.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,e)};var m={k256:null,p224:null,p192:null,p25519:null};function v(e,t){this.name=e,this.p=new n(t,16),this.n=this.p.bitLength(),this.k=new n(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function y(){v.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function g(){v.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function w(){v.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function M(){v.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function S(e){if("string"==typeof e){var t=n._prime(e);this.m=t.p,this.prime=t}else i(e.gtn(1),"modulus must be greater than 1"),this.m=e,this.prime=null}function A(e){S.call(this,e),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new n(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}v.prototype._tmp=function(){var e=new n(null);return e.words=new Array(Math.ceil(this.n/13)),e},v.prototype.ireduce=function(e){var t,r=e;do{this.split(r,this.tmp),t=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(t>this.n);var i=t<this.n?-1:r.ucmp(this.p);return 0===i?(r.words[0]=0,r.length=1):i>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},v.prototype.split=function(e,t){e.iushrn(this.n,0,t)},v.prototype.imulK=function(e){return e.imul(this.k)},f(y,v),y.prototype.split=function(e,t){for(var r=Math.min(e.length,9),i=0;i<r;i++)t.words[i]=e.words[i];if(t.length=r,e.length<=9)return e.words[0]=0,void(e.length=1);var f=e.words[9];for(t.words[t.length++]=4194303&f,i=10;i<e.length;i++){var n=0|e.words[i];e.words[i-10]=(4194303&n)<<4|f>>>22,f=n}f>>>=22,e.words[i-10]=f,0===f&&e.length>10?e.length-=10:e.length-=9},y.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t=0,r=0;r<e.length;r++){var i=0|e.words[r];t+=977*i,e.words[r]=67108863&t,t=64*i+(t/67108864|0)}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},f(g,v),f(w,v),f(M,v),M.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var i=19*(0|e.words[r])+t,f=67108863&i;i>>>=26,e.words[r]=f,t=i}return 0!==t&&(e.words[e.length++]=t),e},n._prime=function(e){if(m[e])return m[e];var t;if("k256"===e)t=new y;else if("p224"===e)t=new g;else if("p192"===e)t=new w;else{if("p25519"!==e)throw new Error("Unknown prime "+e);t=new M}return m[e]=t,t},S.prototype._verify1=function(e){i(0===e.negative,"red works only with positives"),i(e.red,"red works only with red numbers")},S.prototype._verify2=function(e,t){i(0==(e.negative|t.negative),"red works only with positives"),i(e.red&&e.red===t.red,"red works only with red numbers")},S.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):e.umod(this.m)._forceRed(this)},S.prototype.neg=function(e){return e.isZero()?e.clone():this.m.sub(e)._forceRed(this)},S.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},S.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},S.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},S.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},S.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.ushln(t))},S.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},S.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},S.prototype.isqr=function(e){return this.imul(e,e.clone())},S.prototype.sqr=function(e){return this.mul(e,e)},S.prototype.sqrt=function(e){if(e.isZero())return e.clone();var t=this.m.andln(3);if(i(t%2==1),3===t){var r=this.m.add(new n(1)).iushrn(2);return this.pow(e,r)}for(var f=this.m.subn(1),d=0;!f.isZero()&&0===f.andln(1);)d++,f.iushrn(1);i(!f.isZero());var a=new n(1).toRed(this),c=a.redNeg(),s=this.m.subn(1).iushrn(1),o=this.m.bitLength();for(o=new n(2*o*o).toRed(this);0!==this.pow(o,s).cmp(c);)o.redIAdd(c);for(var h=this.pow(o,f),u=this.pow(e,f.addn(1).iushrn(1)),b=this.pow(e,f),l=d;0!==b.cmp(a);){for(var p=b,m=0;0!==p.cmp(a);m++)p=p.redSqr();i(m<l);var v=this.pow(h,new n(1).iushln(l-m-1));u=u.redMul(v),h=v.redSqr(),b=b.redMul(h),l=m}return u},S.prototype.invm=function(e){var t=e._invmp(this.m);return 0!==t.negative?(t.negative=0,this.imod(t).redNeg()):this.imod(t)},S.prototype.pow=function(e,t){if(t.isZero())return new n(1).toRed(this);if(0===t.cmpn(1))return e.clone();var r=new Array(16);r[0]=new n(1).toRed(this),r[1]=e;for(var i=2;i<r.length;i++)r[i]=this.mul(r[i-1],e);var f=r[0],d=0,a=0,c=t.bitLength()%26;for(0===c&&(c=26),i=t.length-1;i>=0;i--){for(var s=t.words[i],o=c-1;o>=0;o--){var h=s>>o&1;f!==r[0]&&(f=this.sqr(f)),0!==h||0!==d?(d<<=1,d|=h,(4===++a||0===i&&0===o)&&(f=this.mul(f,r[d]),a=0,d=0)):a=0}c=26}return f},S.prototype.convertTo=function(e){var t=e.umod(this.m);return t===e?t.clone():t},S.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},n.mont=function(e){return new A(e)},f(A,S),A.prototype.convertTo=function(e){return this.imod(e.ushln(this.shift))},A.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},A.prototype.imul=function(e,t){if(e.isZero()||t.isZero())return e.words[0]=0,e.length=1,e;var r=e.imul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),f=r.isub(i).iushrn(this.shift),n=f;return f.cmp(this.m)>=0?n=f.isub(this.m):f.cmpn(0)<0&&(n=f.iadd(this.m)),n._forceRed(this)},A.prototype.mul=function(e,t){if(e.isZero()||t.isZero())return new n(0)._forceRed(this);var r=e.mul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),f=r.isub(i).iushrn(this.shift),d=f;return f.cmp(this.m)>=0?d=f.isub(this.m):f.cmpn(0)<0&&(d=f.iadd(this.m)),d._forceRed(this)},A.prototype.invm=function(e){return this.imod(e._invmp(this.m).mul(this.r2))._forceRed(this)}}(e,this)}).call(this,r(21)(e))},function(e,t){function r(e,t){if(!e)throw new Error(t||"Assertion failed")}e.exports=r,r.equal=function(e,t,r){if(e!=t)throw new Error(r||"Assertion failed: "+e+" != "+t)}},function(e,t,r){e.exports=r(17)(r(18))},function(e,t,r){"use strict";var i=r(1),f=r(3);function n(){this.pending=null,this.pendingTotal=0,this.blockSize=this.constructor.blockSize,this.outSize=this.constructor.outSize,this.hmacStrength=this.constructor.hmacStrength,this.padLength=this.constructor.padLength/8,this.endian="big",this._delta8=this.blockSize/8,this._delta32=this.blockSize/32}t.BlockHash=n,n.prototype.update=function(e,t){if(e=i.toArray(e,t),this.pending?this.pending=this.pending.concat(e):this.pending=e,this.pendingTotal+=e.length,this.pending.length>=this._delta8){var r=(e=this.pending).length%this._delta8;this.pending=e.slice(e.length-r,e.length),0===this.pending.length&&(this.pending=null),e=i.join32(e,0,e.length-r,this.endian);for(var f=0;f<e.length;f+=this._delta32)this._update(e,f,f+this._delta32)}return this},n.prototype.digest=function(e){return this.update(this._pad()),f(null===this.pending),this._digest(e)},n.prototype._pad=function(){var e=this.pendingTotal,t=this._delta8,r=t-(e+this.padLength)%t,i=new Array(r+this.padLength);i[0]=128;for(var f=1;f<r;f++)i[f]=0;if(e<<=3,"big"===this.endian){for(var n=8;n<this.padLength;n++)i[f++]=0;i[f++]=0,i[f++]=0,i[f++]=0,i[f++]=0,i[f++]=e>>>24&255,i[f++]=e>>>16&255,i[f++]=e>>>8&255,i[f++]=255&e}else for(i[f++]=255&e,i[f++]=e>>>8&255,i[f++]=e>>>16&255,i[f++]=e>>>24&255,i[f++]=0,i[f++]=0,i[f++]=0,i[f++]=0,n=8;n<this.padLength;n++)i[f++]=0;return i}},function(e,t,r){"use strict";var i=r(2),f=r(0),n=f.getNAF,d=f.getJSF,a=f.assert;function c(e,t){this.type=e,this.p=new i(t.p,16),this.red=t.prime?i.red(t.prime):i.mont(this.p),this.zero=new i(0).toRed(this.red),this.one=new i(1).toRed(this.red),this.two=new i(2).toRed(this.red),this.n=t.n&&new i(t.n,16),this.g=t.g&&this.pointFromJSON(t.g,t.gRed),this._wnafT1=new Array(4),this._wnafT2=new Array(4),this._wnafT3=new Array(4),this._wnafT4=new Array(4),this._bitLength=this.n?this.n.bitLength():0;var r=this.n&&this.p.div(this.n);!r||r.cmpn(100)>0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function s(e,t){this.curve=e,this.type=t,this.precomputed=null}e.exports=c,c.prototype.point=function(){throw new Error("Not implemented")},c.prototype.validate=function(){throw new Error("Not implemented")},c.prototype._fixedNafMul=function(e,t){a(e.precomputed);var r=e._getDoubles(),i=n(t,1,this._bitLength),f=(1<<r.step+1)-(r.step%2==0?2:1);f/=3;for(var d=[],c=0;c<i.length;c+=r.step){var s=0;for(t=c+r.step-1;t>=c;t--)s=(s<<1)+i[t];d.push(s)}for(var o=this.jpoint(null,null,null),h=this.jpoint(null,null,null),u=f;u>0;u--){for(c=0;c<d.length;c++){(s=d[c])===u?h=h.mixedAdd(r.points[c]):s===-u&&(h=h.mixedAdd(r.points[c].neg()))}o=o.add(h)}return o.toP()},c.prototype._wnafMul=function(e,t){var r=4,i=e._getNAFPoints(r);r=i.wnd;for(var f=i.points,d=n(t,r,this._bitLength),c=this.jpoint(null,null,null),s=d.length-1;s>=0;s--){for(t=0;s>=0&&0===d[s];s--)t++;if(s>=0&&t++,c=c.dblp(t),s<0)break;var o=d[s];a(0!==o),c="affine"===e.type?o>0?c.mixedAdd(f[o-1>>1]):c.mixedAdd(f[-o-1>>1].neg()):o>0?c.add(f[o-1>>1]):c.add(f[-o-1>>1].neg())}return"affine"===e.type?c.toP():c},c.prototype._wnafMulAdd=function(e,t,r,i,f){for(var a=this._wnafT1,c=this._wnafT2,s=this._wnafT3,o=0,h=0;h<i;h++){var u=(x=t[h])._getNAFPoints(e);a[h]=u.wnd,c[h]=u.points}for(h=i-1;h>=1;h-=2){var b=h-1,l=h;if(1===a[b]&&1===a[l]){var p=[t[b],null,null,t[l]];0===t[b].y.cmp(t[l].y)?(p[1]=t[b].add(t[l]),p[2]=t[b].toJ().mixedAdd(t[l].neg())):0===t[b].y.cmp(t[l].y.redNeg())?(p[1]=t[b].toJ().mixedAdd(t[l]),p[2]=t[b].add(t[l].neg())):(p[1]=t[b].toJ().mixedAdd(t[l]),p[2]=t[b].toJ().mixedAdd(t[l].neg()));var m=[-3,-1,-5,-7,0,7,5,1,3],v=d(r[b],r[l]);o=Math.max(v[0].length,o),s[b]=new Array(o),s[l]=new Array(o);for(var y=0;y<o;y++){var g=0|v[0][y],w=0|v[1][y];s[b][y]=m[3*(g+1)+(w+1)],s[l][y]=0,c[b]=p}}else s[b]=n(r[b],a[b],this._bitLength),s[l]=n(r[l],a[l],this._bitLength),o=Math.max(s[b].length,o),o=Math.max(s[l].length,o)}var M=this.jpoint(null,null,null),S=this._wnafT4;for(h=o;h>=0;h--){for(var A=0;h>=0;){var _=!0;for(y=0;y<i;y++)S[y]=0|s[y][h],0!==S[y]&&(_=!1);if(!_)break;A++,h--}if(h>=0&&A++,M=M.dblp(A),h<0)break;for(y=0;y<i;y++){var x,I=S[y];0!==I&&(I>0?x=c[y][I-1>>1]:I<0&&(x=c[y][-I-1>>1].neg()),M="affine"===x.type?M.mixedAdd(x):M.add(x))}}for(h=0;h<i;h++)c[h]=null;return f?M:M.toP()},c.BasePoint=s,s.prototype.eq=function(){throw new Error("Not implemented")},s.prototype.validate=function(){return this.curve.validate(this)},c.prototype.decodePoint=function(e,t){e=f.toArray(e,t);var r=this.p.byteLength();if((4===e[0]||6===e[0]||7===e[0])&&e.length-1==2*r)return 6===e[0]?a(e[e.length-1]%2==0):7===e[0]&&a(e[e.length-1]%2==1),this.point(e.slice(1,1+r),e.slice(1+r,1+2*r));if((2===e[0]||3===e[0])&&e.length-1===r)return this.pointFromX(e.slice(1,1+r),3===e[0]);throw new Error("Unknown point format")},s.prototype.encodeCompressed=function(e){return this.encode(e,!0)},s.prototype._encode=function(e){var t=this.curve.p.byteLength(),r=this.getX().toArray("be",t);return e?[this.getY().isEven()?2:3].concat(r):[4].concat(r,this.getY().toArray("be",t))},s.prototype.encode=function(e,t){return f.encode(this._encode(t),e)},s.prototype.precompute=function(e){if(this.precomputed)return this;var t={doubles:null,naf:null,beta:null};return t.naf=this._getNAFPoints(8),t.doubles=this._getDoubles(4,e),t.beta=this._getBeta(),this.precomputed=t,this},s.prototype._hasDoubles=function(e){if(!this.precomputed)return!1;var t=this.precomputed.doubles;return!!t&&t.points.length>=Math.ceil((e.bitLength()+1)/t.step)},s.prototype._getDoubles=function(e,t){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var r=[this],i=this,f=0;f<t;f+=e){for(var n=0;n<e;n++)i=i.dbl();r.push(i)}return{step:e,points:r}},s.prototype._getNAFPoints=function(e){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var t=[this],r=(1<<e)-1,i=1===r?null:this.dbl(),f=1;f<r;f++)t[f]=t[f-1].add(i);return{wnd:e,points:t}},s.prototype._getBeta=function(){return null},s.prototype.dblp=function(e){for(var t=this,r=0;r<e;r++)t=t.dbl();return t}},function(e,t){"function"==typeof Object.create?e.exports=function(e,t){t&&(e.super_=t,e.prototype=Object.create(t.prototype,{constructor:{value:e,enumerable:!1,writable:!0,configurable:!0}}))}:e.exports=function(e,t){if(t){e.super_=t;var r=function(){};r.prototype=t.prototype,e.prototype=new r,e.prototype.constructor=e}}},function(e,t,r){"use strict";var i,f=t,n=r(9),d=r(12),a=r(0).assert;function c(e){"short"===e.type?this.curve=new d.short(e):"edwards"===e.type?this.curve=new d.edwards(e):this.curve=new d.mont(e),this.g=this.curve.g,this.n=this.curve.n,this.hash=e.hash,a(this.g.validate(),"Invalid curve"),a(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function s(e,t){Object.defineProperty(f,e,{configurable:!0,enumerable:!0,get:function(){var r=new c(t);return Object.defineProperty(f,e,{configurable:!0,enumerable:!0,value:r}),r}})}f.PresetCurve=c,s("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff",a:"ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc",b:"64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1",n:"ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831",hash:n.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),s("p224",{type:"short",prime:"p224",p:"ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001",a:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe",b:"b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4",n:"ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d",hash:n.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),s("p256",{type:"short",prime:null,p:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff",a:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:n.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),s("p384",{type:"short",prime:null,p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 ffffffff",a:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 fffffffc",b:"b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f 5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef",n:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 f4372ddf 581a0db2 48b0a77a ecec196a 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r=e.redSqr().redMul(e).redIAdd(e.redMul(this.a)).redIAdd(this.b),i=r.redSqrt();if(0!==i.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");var n=i.fromRed().isOdd();return(t&&!n||!t&&n)&&(i=i.redNeg()),this.point(e,i)},c.prototype.validate=function(e){if(e.inf)return!0;var t=e.x,r=e.y,i=this.a.redMul(t),f=t.redSqr().redMul(t).redIAdd(i).redIAdd(this.b);return 0===r.redSqr().redISub(f).cmpn(0)},c.prototype._endoWnafMulAdd=function(e,t,r){for(var i=this._endoWnafT1,f=this._endoWnafT2,n=0;n<e.length;n++){var d=this._endoSplit(t[n]),a=e[n],c=a._getBeta();d.k1.negative&&(d.k1.ineg(),a=a.neg(!0)),d.k2.negative&&(d.k2.ineg(),c=c.neg(!0)),i[2*n]=a,i[2*n+1]=c,f[2*n]=d.k1,f[2*n+1]=d.k2}for(var s=this._wnafMulAdd(1,i,f,2*n,r),o=0;o<2*n;o++)i[o]=null,f[o]=null;return s},n(s,d.BasePoint),c.prototype.point=function(e,t,r){return new s(this,e,t,r)},c.prototype.pointFromJSON=function(e,t){return s.fromJSON(this,e,t)},s.prototype._getBeta=function(){if(this.curve.endo){var e=this.precomputed;if(e&&e.beta)return e.beta;var t=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(e){var r=this.curve,i=function(e){return r.point(e.x.redMul(r.endo.beta),e.y)};e.beta=t,t.precomputed={beta:null,naf:e.naf&&{wnd:e.naf.wnd,points:e.naf.points.map(i)},doubles:e.doubles&&{step:e.doubles.step,points:e.doubles.points.map(i)}}}return t}},s.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,points:this.precomputed.doubles.points.slice(1)},naf:this.precomputed.naf&&{wnd:this.precomputed.naf.wnd,points:this.precomputed.naf.points.slice(1)}}]:[this.x,this.y]},s.fromJSON=function(e,t,r){"string"==typeof t&&(t=JSON.parse(t));var i=e.point(t[0],t[1],r);if(!t[2])return i;function f(t){return e.point(t[0],t[1],r)}var n=t[2];return i.precomputed={beta:null,doubles:n.doubles&&{step:n.doubles.step,points:[i].concat(n.doubles.points.map(f))},naf:n.naf&&{wnd:n.naf.wnd,points:[i].concat(n.naf.points.map(f))}},i},s.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+">"},s.prototype.isInfinity=function(){return this.inf},s.prototype.add=function(e){if(this.inf)return e;if(e.inf)return this;if(this.eq(e))return this.dbl();if(this.neg().eq(e))return this.curve.point(null,null);if(0===this.x.cmp(e.x))return this.curve.point(null,null);var t=this.y.redSub(e.y);0!==t.cmpn(0)&&(t=t.redMul(this.x.redSub(e.x).redInvm()));var r=t.redSqr().redISub(this.x).redISub(e.x),i=t.redMul(this.x.redSub(r)).redISub(this.y);return this.curve.point(r,i)},s.prototype.dbl=function(){if(this.inf)return this;var e=this.y.redAdd(this.y);if(0===e.cmpn(0))return this.curve.point(null,null);var t=this.curve.a,r=this.x.redSqr(),i=e.redInvm(),f=r.redAdd(r).redIAdd(r).redIAdd(t).redMul(i),n=f.redSqr().redISub(this.x.redAdd(this.x)),d=f.redMul(this.x.redSub(n)).redISub(this.y);return this.curve.point(n,d)},s.prototype.getX=function(){return this.x.fromRed()},s.prototype.getY=function(){return this.y.fromRed()},s.prototype.mul=function(e){return e=new f(e,16),this.isInfinity()?this:this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve.endo?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(this,e)},s.prototype.mulAdd=function(e,t,r){var i=[this,t],f=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(i,f):this.curve._wnafMulAdd(1,i,f,2)},s.prototype.jmulAdd=function(e,t,r){var i=[this,t],f=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(i,f,!0):this.curve._wnafMulAdd(1,i,f,2,!0)},s.prototype.eq=function(e){return this===e||this.inf===e.inf&&(this.inf||0===this.x.cmp(e.x)&&0===this.y.cmp(e.y))},s.prototype.neg=function(e){if(this.inf)return this;var t=this.curve.point(this.x,this.y.redNeg());if(e&&this.precomputed){var r=this.precomputed,i=function(e){return e.neg()};t.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(i)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(i)}}}return t},s.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):this.curve.jpoint(this.x,this.y,this.curve.one)},n(o,d.BasePoint),c.prototype.jpoint=function(e,t,r){return new o(this,e,t,r)},o.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var e=this.z.redInvm(),t=e.redSqr(),r=this.x.redMul(t),i=this.y.redMul(t).redMul(e);return this.curve.point(r,i)},o.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},o.prototype.add=function(e){if(this.isInfinity())return e;if(e.isInfinity())return this;var t=e.z.redSqr(),r=this.z.redSqr(),i=this.x.redMul(t),f=e.x.redMul(r),n=this.y.redMul(t.redMul(e.z)),d=e.y.redMul(r.redMul(this.z)),a=i.redSub(f),c=n.redSub(d);if(0===a.cmpn(0))return 0!==c.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var s=a.redSqr(),o=s.redMul(a),h=i.redMul(s),u=c.redSqr().redIAdd(o).redISub(h).redISub(h),b=c.redMul(h.redISub(u)).redISub(n.redMul(o)),l=this.z.redMul(e.z).redMul(a);return this.curve.jpoint(u,b,l)},o.prototype.mixedAdd=function(e){if(this.isInfinity())return e.toJ();if(e.isInfinity())return this;var t=this.z.redSqr(),r=this.x,i=e.x.redMul(t),f=this.y,n=e.y.redMul(t).redMul(this.z),d=r.redSub(i),a=f.redSub(n);if(0===d.cmpn(0))return 0!==a.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var c=d.redSqr(),s=c.redMul(d),o=r.redMul(c),h=a.redSqr().redIAdd(s).redISub(o).redISub(o),u=a.redMul(o.redISub(h)).redISub(f.redMul(s)),b=this.z.redMul(d);return this.curve.jpoint(h,u,b)},o.prototype.dblp=function(e){if(0===e)return this;if(this.isInfinity())return this;if(!e)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var t=this,r=0;r<e;r++)t=t.dbl();return t}var i=this.curve.a,f=this.curve.tinv,n=this.x,d=this.y,a=this.z,c=a.redSqr().redSqr(),s=d.redAdd(d);for(r=0;r<e;r++){var o=n.redSqr(),h=s.redSqr(),u=h.redSqr(),b=o.redAdd(o).redIAdd(o).redIAdd(i.redMul(c)),l=n.redMul(h),p=b.redSqr().redISub(l.redAdd(l)),m=l.redISub(p),v=b.redMul(m);v=v.redIAdd(v).redISub(u);var y=s.redMul(a);r+1<e&&(c=c.redMul(u)),n=p,a=y,s=v}return this.curve.jpoint(n,s.redMul(f),a)},o.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},o.prototype._zeroDbl=function(){var e,t,r;if(this.zOne){var i=this.x.redSqr(),f=this.y.redSqr(),n=f.redSqr(),d=this.x.redAdd(f).redSqr().redISub(i).redISub(n);d=d.redIAdd(d);var a=i.redAdd(i).redIAdd(i),c=a.redSqr().redISub(d).redISub(d),s=n.redIAdd(n);s=(s=s.redIAdd(s)).redIAdd(s),e=c,t=a.redMul(d.redISub(c)).redISub(s),r=this.y.redAdd(this.y)}else{var o=this.x.redSqr(),h=this.y.redSqr(),u=h.redSqr(),b=this.x.redAdd(h).redSqr().redISub(o).redISub(u);b=b.redIAdd(b);var l=o.redAdd(o).redIAdd(o),p=l.redSqr(),m=u.redIAdd(u);m=(m=m.redIAdd(m)).redIAdd(m),e=p.redISub(b).redISub(b),t=l.redMul(b.redISub(e)).redISub(m),r=(r=this.y.redMul(this.z)).redIAdd(r)}return this.curve.jpoint(e,t,r)},o.prototype._threeDbl=function(){var e,t,r;if(this.zOne){var i=this.x.redSqr(),f=this.y.redSqr(),n=f.redSqr(),d=this.x.redAdd(f).redSqr().redISub(i).redISub(n);d=d.redIAdd(d);var a=i.redAdd(i).redIAdd(i).redIAdd(this.curve.a),c=a.redSqr().redISub(d).redISub(d);e=c;var s=n.redIAdd(n);s=(s=s.redIAdd(s)).redIAdd(s),t=a.redMul(d.redISub(c)).redISub(s),r=this.y.redAdd(this.y)}else{var o=this.z.redSqr(),h=this.y.redSqr(),u=this.x.redMul(h),b=this.x.redSub(o).redMul(this.x.redAdd(o));b=b.redAdd(b).redIAdd(b);var l=u.redIAdd(u),p=(l=l.redIAdd(l)).redAdd(l);e=b.redSqr().redISub(p),r=this.y.redAdd(this.z).redSqr().redISub(h).redISub(o);var m=h.redSqr();m=(m=(m=m.redIAdd(m)).redIAdd(m)).redIAdd(m),t=b.redMul(l.redISub(e)).redISub(m)}return this.curve.jpoint(e,t,r)},o.prototype._dbl=function(){var e=this.curve.a,t=this.x,r=this.y,i=this.z,f=i.redSqr().redSqr(),n=t.redSqr(),d=r.redSqr(),a=n.redAdd(n).redIAdd(n).redIAdd(e.redMul(f)),c=t.redAdd(t),s=(c=c.redIAdd(c)).redMul(d),o=a.redSqr().redISub(s.redAdd(s)),h=s.redISub(o),u=d.redSqr();u=(u=(u=u.redIAdd(u)).redIAdd(u)).redIAdd(u);var b=a.redMul(h).redISub(u),l=r.redAdd(r).redMul(i);return this.curve.jpoint(o,b,l)},o.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr(),i=t.redSqr(),f=e.redAdd(e).redIAdd(e),n=f.redSqr(),d=this.x.redAdd(t).redSqr().redISub(e).redISub(i),a=(d=(d=(d=d.redIAdd(d)).redAdd(d).redIAdd(d)).redISub(n)).redSqr(),c=i.redIAdd(i);c=(c=(c=c.redIAdd(c)).redIAdd(c)).redIAdd(c);var s=f.redIAdd(d).redSqr().redISub(n).redISub(a).redISub(c),o=t.redMul(s);o=(o=o.redIAdd(o)).redIAdd(o);var h=this.x.redMul(a).redISub(o);h=(h=h.redIAdd(h)).redIAdd(h);var u=this.y.redMul(s.redMul(c.redISub(s)).redISub(d.redMul(a)));u=(u=(u=u.redIAdd(u)).redIAdd(u)).redIAdd(u);var b=this.z.redAdd(d).redSqr().redISub(r).redISub(a);return this.curve.jpoint(h,u,b)},o.prototype.mul=function(e,t){return e=new f(e,t),this.curve._wnafMul(this,e)},o.prototype.eq=function(e){if("affine"===e.type)return this.eq(e.toJ());if(this===e)return!0;var t=this.z.redSqr(),r=e.z.redSqr();if(0!==this.x.redMul(r).redISub(e.x.redMul(t)).cmpn(0))return!1;var i=t.redMul(this.z),f=r.redMul(e.z);return 0===this.y.redMul(f).redISub(e.y.redMul(i)).cmpn(0)},o.prototype.eqXToP=function(e){var t=this.z.redSqr(),r=e.toRed(this.curve.red).redMul(t);if(0===this.x.cmp(r))return!0;for(var i=e.clone(),f=this.curve.redN.redMul(t);;){if(i.iadd(this.curve.n),i.cmp(this.curve.p)>=0)return!1;if(r.redIAdd(f),0===this.x.cmp(r))return!0}},o.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"},o.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},function(e,t,r){"use strict";var i=r(2),f=r(7),n=r(6),d=r(0);function a(e){n.call(this,"mont",e),this.a=new i(e.a,16).toRed(this.red),this.b=new i(e.b,16).toRed(this.red),this.i4=new i(4).toRed(this.red).redInvm(),this.two=new i(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function c(e,t,r){n.BasePoint.call(this,e,"projective"),null===t&&null===r?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new i(t,16),this.z=new i(r,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}f(a,n),e.exports=a,a.prototype.validate=function(e){var t=e.normalize().x,r=t.redSqr(),i=r.redMul(t).redAdd(r.redMul(this.a)).redAdd(t);return 0===i.redSqrt().redSqr().cmp(i)},f(c,n.BasePoint),a.prototype.decodePoint=function(e,t){return this.point(d.toArray(e,t),1)},a.prototype.point=function(e,t){return new c(this,e,t)},a.prototype.pointFromJSON=function(e){return c.fromJSON(this,e)},c.prototype.precompute=function(){},c.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},c.fromJSON=function(e,t){return new c(e,t[0],t[1]||e.one)},c.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},c.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},c.prototype.dbl=function(){var e=this.x.redAdd(this.z).redSqr(),t=this.x.redSub(this.z).redSqr(),r=e.redSub(t),i=e.redMul(t),f=r.redMul(t.redAdd(this.curve.a24.redMul(r)));return this.curve.point(i,f)},c.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},c.prototype.diffAdd=function(e,t){var r=this.x.redAdd(this.z),i=this.x.redSub(this.z),f=e.x.redAdd(e.z),n=e.x.redSub(e.z).redMul(r),d=f.redMul(i),a=t.z.redMul(n.redAdd(d).redSqr()),c=t.x.redMul(n.redISub(d).redSqr());return this.curve.point(a,c)},c.prototype.mul=function(e){for(var t=e.clone(),r=this,i=this.curve.point(null,null),f=[];0!==t.cmpn(0);t.iushrn(1))f.push(t.andln(1));for(var n=f.length-1;n>=0;n--)0===f[n]?(r=r.diffAdd(i,this),i=i.dbl()):(i=r.diffAdd(i,this),r=r.dbl());return i},c.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},c.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},c.prototype.eq=function(e){return 0===this.getX().cmp(e.getX())},c.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},c.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},function(e,t,r){"use strict";var i=r(0),f=r(2),n=r(7),d=r(6),a=i.assert;function c(e){this.twisted=1!=(0|e.a),this.mOneA=this.twisted&&-1==(0|e.a),this.extended=this.mOneA,d.call(this,"edwards",e),this.a=new f(e.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new f(e.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new f(e.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),a(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1==(0|e.c)}function s(e,t,r,i,n){d.BasePoint.call(this,e,"projective"),null===t&&null===r&&null===i?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new f(t,16),this.y=new f(r,16),this.z=i?new f(i,16):this.curve.one,this.t=n&&new f(n,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}n(c,d),e.exports=c,c.prototype._mulA=function(e){return this.mOneA?e.redNeg():this.a.redMul(e)},c.prototype._mulC=function(e){return this.oneC?e:this.c.redMul(e)},c.prototype.jpoint=function(e,t,r,i){return this.point(e,t,r,i)},c.prototype.pointFromX=function(e,t){(e=new f(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),i=this.c2.redSub(this.a.redMul(r)),n=this.one.redSub(this.c2.redMul(this.d).redMul(r)),d=i.redMul(n.redInvm()),a=d.redSqrt();if(0!==a.redSqr().redSub(d).cmp(this.zero))throw new Error("invalid point");var c=a.fromRed().isOdd();return(t&&!c||!t&&c)&&(a=a.redNeg()),this.point(e,a)},c.prototype.pointFromY=function(e,t){(e=new f(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),i=r.redSub(this.c2),n=r.redMul(this.d).redMul(this.c2).redSub(this.a),d=i.redMul(n.redInvm());if(0===d.cmp(this.zero)){if(t)throw new Error("invalid point");return this.point(this.zero,e)}var a=d.redSqrt();if(0!==a.redSqr().redSub(d).cmp(this.zero))throw new Error("invalid point");return a.fromRed().isOdd()!==t&&(a=a.redNeg()),this.point(a,e)},c.prototype.validate=function(e){if(e.isInfinity())return!0;e.normalize();var t=e.x.redSqr(),r=e.y.redSqr(),i=t.redMul(this.a).redAdd(r),f=this.c2.redMul(this.one.redAdd(this.d.redMul(t).redMul(r)));return 0===i.cmp(f)},n(s,d.BasePoint),c.prototype.pointFromJSON=function(e){return s.fromJSON(this,e)},c.prototype.point=function(e,t,r,i){return new s(this,e,t,r,i)},s.fromJSON=function(e,t){return new s(e,t[0],t[1],t[2])},s.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},s.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},s.prototype._extDbl=function(){var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr();r=r.redIAdd(r);var i=this.curve._mulA(e),f=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),n=i.redAdd(t),d=n.redSub(r),a=i.redSub(t),c=f.redMul(d),s=n.redMul(a),o=f.redMul(a),h=d.redMul(n);return this.curve.point(c,s,h,o)},s.prototype._projDbl=function(){var e,t,r,i=this.x.redAdd(this.y).redSqr(),f=this.x.redSqr(),n=this.y.redSqr();if(this.curve.twisted){var d=(s=this.curve._mulA(f)).redAdd(n);if(this.zOne)e=i.redSub(f).redSub(n).redMul(d.redSub(this.curve.two)),t=d.redMul(s.redSub(n)),r=d.redSqr().redSub(d).redSub(d);else{var 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strict";var i=r(2),f=r(35),n=r(0),d=r(8),a=r(11),c=n.assert,s=r(36),o=r(37);function h(e){if(!(this instanceof h))return new h(e);"string"==typeof e&&(c(d.hasOwnProperty(e),"Unknown curve "+e),e=d[e]),e instanceof d.PresetCurve&&(e={curve:e}),this.curve=e.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=e.curve.g,this.g.precompute(e.curve.n.bitLength()+1),this.hash=e.hash||e.curve.hash}e.exports=h,h.prototype.keyPair=function(e){return new s(this,e)},h.prototype.keyFromPrivate=function(e,t){return s.fromPrivate(this,e,t)},h.prototype.keyFromPublic=function(e,t){return s.fromPublic(this,e,t)},h.prototype.genKeyPair=function(e){e||(e={});for(var t=new f({hash:this.hash,pers:e.pers,persEnc:e.persEnc||"utf8",entropy:e.entropy||a(this.hash.hmacStrength),entropyEnc:e.entropy&&e.entropyEnc||"utf8",nonce:this.n.toArray()}),r=this.n.byteLength(),n=this.n.sub(new i(2));;){var d=new i(t.generate(r));if(!(d.cmp(n)>0))return d.iaddn(1),this.keyFromPrivate(d)}},h.prototype._truncateToN=function(e,t){var r=8*e.byteLength()-this.n.bitLength();return r>0&&(e=e.ushrn(r)),!t&&e.cmp(this.n)>=0?e.sub(this.n):e},h.prototype.sign=function(e,t,r,n){"object"==typeof r&&(n=r,r=null),n||(n={}),t=this.keyFromPrivate(t,r),e=this._truncateToN(new i(e,16));for(var d=this.n.byteLength(),a=t.getPrivate().toArray("be",d),c=e.toArray("be",d),s=new f({hash:this.hash,entropy:a,nonce:c,pers:n.pers,persEnc:n.persEnc||"utf8"}),h=this.n.sub(new i(1)),u=0;;u++){var b=n.k?n.k(u):new i(s.generate(this.n.byteLength()));if(!((b=this._truncateToN(b,!0)).cmpn(1)<=0||b.cmp(h)>=0)){var l=this.g.mul(b);if(!l.isInfinity()){var p=l.getX(),m=p.umod(this.n);if(0!==m.cmpn(0)){var v=b.invm(this.n).mul(m.mul(t.getPrivate()).iadd(e));if(0!==(v=v.umod(this.n)).cmpn(0)){var y=(l.getY().isOdd()?1:0)|(0!==p.cmp(m)?2:0);return n.canonical&&v.cmp(this.nh)>0&&(v=this.n.sub(v),y^=1),new o({r:m,s:v,recoveryParam:y})}}}}}},h.prototype.verify=function(e,t,r,f){e=this._truncateToN(new i(e,16)),r=this.keyFromPublic(r,f);var n=(t=new o(t,"hex")).r,d=t.s;if(n.cmpn(1)<0||n.cmp(this.n)>=0)return!1;if(d.cmpn(1)<0||d.cmp(this.n)>=0)return!1;var a,c=d.invm(this.n),s=c.mul(e).umod(this.n),h=c.mul(n).umod(this.n);return this.curve._maxwellTrick?!(a=this.g.jmulAdd(s,r.getPublic(),h)).isInfinity()&&a.eqXToP(n):!(a=this.g.mulAdd(s,r.getPublic(),h)).isInfinity()&&0===a.getX().umod(this.n).cmp(n)},h.prototype.recoverPubKey=function(e,t,r,f){c((3&r)===r,"The recovery param is more than two bits"),t=new o(t,f);var n=this.n,d=new i(e),a=t.r,s=t.s,h=1&r,u=r>>1;if(a.cmp(this.curve.p.umod(this.curve.n))>=0&&u)throw new Error("Unable to find sencond key candinate");a=u?this.curve.pointFromX(a.add(this.curve.n),h):this.curve.pointFromX(a,h);var b=t.r.invm(n),l=n.sub(d).mul(b).umod(n),p=s.mul(b).umod(n);return this.g.mulAdd(l,a,p)},h.prototype.getKeyRecoveryParam=function(e,t,r,i){if(null!==(t=new o(t,i)).recoveryParam)return t.recoveryParam;for(var f=0;f<4;f++){var n;try{n=this.recoverPubKey(e,t,f)}catch(e){continue}if(n.eq(r))return f}throw new Error("Unable to find valid recovery factor")}},function(e,t,r){"use strict";var i=r(9),f=r(10),n=r(3);function d(e){if(!(this instanceof d))return new d(e);this.hash=e.hash,this.predResist=!!e.predResist,this.outLen=this.hash.outSize,this.minEntropy=e.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var t=f.toArray(e.entropy,e.entropyEnc||"hex"),r=f.toArray(e.nonce,e.nonceEnc||"hex"),i=f.toArray(e.pers,e.persEnc||"hex");n(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(t,r,i)}e.exports=d,d.prototype._init=function(e,t,r){var i=e.concat(t).concat(r);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var f=0;f<this.V.length;f++)this.K[f]=0,this.V[f]=1;this._update(i),this._reseed=1,this.reseedInterval=281474976710656},d.prototype._hmac=function(){return new i.hmac(this.hash,this.K)},d.prototype._update=function(e){var t=this._hmac().update(this.V).update([0]);e&&(t=t.update(e)),this.K=t.digest(),this.V=this._hmac().update(this.V).digest(),e&&(this.K=this._hmac().update(this.V).update([1]).update(e).digest(),this.V=this._hmac().update(this.V).digest())},d.prototype.reseed=function(e,t,r,i){"string"!=typeof t&&(i=r,r=t,t=null),e=f.toArray(e,t),r=f.toArray(r,i),n(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(e.concat(r||[])),this._reseed=1},d.prototype.generate=function(e,t,r,i){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof t&&(i=r,r=t,t=null),r&&(r=f.toArray(r,i||"hex"),this._update(r));for(var n=[];n.length<e;)this.V=this._hmac().update(this.V).digest(),n=n.concat(this.V);var d=n.slice(0,e);return this._update(r),this._reseed++,f.encode(d,t)}},function(e,t,r){"use strict";var i=r(2),f=r(0).assert;function n(e,t){this.ec=e,this.priv=null,this.pub=null,t.priv&&this._importPrivate(t.priv,t.privEnc),t.pub&&this._importPublic(t.pub,t.pubEnc)}e.exports=n,n.fromPublic=function(e,t,r){return t instanceof n?t:new n(e,{pub:t,pubEnc:r})},n.fromPrivate=function(e,t,r){return t instanceof n?t:new n(e,{priv:t,privEnc:r})},n.prototype.validate=function(){var e=this.getPublic();return e.isInfinity()?{result:!1,reason:"Invalid public key"}:e.validate()?e.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},n.prototype.getPublic=function(e,t){return"string"==typeof e&&(t=e,e=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),t?this.pub.encode(t,e):this.pub},n.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},n.prototype._importPrivate=function(e,t){this.priv=new i(e,t||16),this.priv=this.priv.umod(this.ec.curve.n)},n.prototype._importPublic=function(e,t){if(e.x||e.y)return"mont"===this.ec.curve.type?f(e.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||f(e.x&&e.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(e.x,e.y));this.pub=this.ec.curve.decodePoint(e,t)},n.prototype.derive=function(e){return e.mul(this.priv).getX()},n.prototype.sign=function(e,t,r){return this.ec.sign(e,this,t,r)},n.prototype.verify=function(e,t){return this.ec.verify(e,t,this)},n.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},function(e,t,r){"use strict";var i=r(2),f=r(0),n=f.assert;function d(e,t){if(e instanceof d)return e;this._importDER(e,t)||(n(e.r&&e.s,"Signature without r or s"),this.r=new i(e.r,16),this.s=new i(e.s,16),void 0===e.recoveryParam?this.recoveryParam=null:this.recoveryParam=e.recoveryParam)}function a(){this.place=0}function c(e,t){var r=e[t.place++];if(!(128&r))return r;for(var i=15&r,f=0,n=0,d=t.place;n<i;n++,d++)f<<=8,f|=e[d];return t.place=d,f}function s(e){for(var t=0,r=e.length-1;!e[t]&&!(128&e[t+1])&&t<r;)t++;return 0===t?e:e.slice(t)}function o(e,t){if(t<128)e.push(t);else{var r=1+(Math.log(t)/Math.LN2>>>3);for(e.push(128|r);--r;)e.push(t>>>(r<<3)&255);e.push(t)}}e.exports=d,d.prototype._importDER=function(e,t){e=f.toArray(e,t);var r=new a;if(48!==e[r.place++])return!1;if(c(e,r)+r.place!==e.length)return!1;if(2!==e[r.place++])return!1;var n=c(e,r),d=e.slice(r.place,n+r.place);if(r.place+=n,2!==e[r.place++])return!1;var s=c(e,r);if(e.length!==s+r.place)return!1;var o=e.slice(r.place,s+r.place);return 0===d[0]&&128&d[1]&&(d=d.slice(1)),0===o[0]&&128&o[1]&&(o=o.slice(1)),this.r=new i(d),this.s=new i(o),this.recoveryParam=null,!0},d.prototype.toDER=function(e){var t=this.r.toArray(),r=this.s.toArray();for(128&t[0]&&(t=[0].concat(t)),128&r[0]&&(r=[0].concat(r)),t=s(t),r=s(r);!(r[0]||128&r[1]);)r=r.slice(1);var i=[2];o(i,t.length),(i=i.concat(t)).push(2),o(i,r.length);var n=i.concat(r),d=[48];return o(d,n.length),d=d.concat(n),f.encode(d,e)}},function(e,t,r){"use strict";var i=r(9),f=r(8),n=r(0),d=n.assert,a=n.parseBytes,c=r(39),s=r(40);function o(e){if(d("ed25519"===e,"only tested with ed25519 so far"),!(this instanceof o))return new o(e);e=f[e].curve;this.curve=e,this.g=e.g,this.g.precompute(e.n.bitLength()+1),this.pointClass=e.point().constructor,this.encodingLength=Math.ceil(e.n.bitLength()/8),this.hash=i.sha512}e.exports=o,o.prototype.sign=function(e,t){e=a(e);var r=this.keyFromSecret(t),i=this.hashInt(r.messagePrefix(),e),f=this.g.mul(i),n=this.encodePoint(f),d=this.hashInt(n,r.pubBytes(),e).mul(r.priv()),c=i.add(d).umod(this.curve.n);return this.makeSignature({R:f,S:c,Rencoded:n})},o.prototype.verify=function(e,t,r){e=a(e),t=this.makeSignature(t);var i=this.keyFromPublic(r),f=this.hashInt(t.Rencoded(),i.pubBytes(),e),n=this.g.mul(t.S());return t.R().add(i.pub().mul(f)).eq(n)},o.prototype.hashInt=function(){for(var e=this.hash(),t=0;t<arguments.length;t++)e.update(arguments[t]);return n.intFromLE(e.digest()).umod(this.curve.n)},o.prototype.keyFromPublic=function(e){return c.fromPublic(this,e)},o.prototype.keyFromSecret=function(e){return c.fromSecret(this,e)},o.prototype.makeSignature=function(e){return e instanceof s?e:new s(this,e)},o.prototype.encodePoint=function(e){var t=e.getY().toArray("le",this.encodingLength);return t[this.encodingLength-1]|=e.getX().isOdd()?128:0,t},o.prototype.decodePoint=function(e){var t=(e=n.parseBytes(e)).length-1,r=e.slice(0,t).concat(-129&e[t]),i=0!=(128&e[t]),f=n.intFromLE(r);return this.curve.pointFromY(f,i)},o.prototype.encodeInt=function(e){return e.toArray("le",this.encodingLength)},o.prototype.decodeInt=function(e){return n.intFromLE(e)},o.prototype.isPoint=function(e){return e instanceof this.pointClass}},function(e,t,r){"use strict";var i=r(0),f=i.assert,n=i.parseBytes,d=i.cachedProperty;function a(e,t){this.eddsa=e,this._secret=n(t.secret),e.isPoint(t.pub)?this._pub=t.pub:this._pubBytes=n(t.pub)}a.fromPublic=function(e,t){return t instanceof a?t:new a(e,{pub:t})},a.fromSecret=function(e,t){return t instanceof a?t:new a(e,{secret:t})},a.prototype.secret=function(){return this._secret},d(a,"pubBytes",(function(){return this.eddsa.encodePoint(this.pub())})),d(a,"pub",(function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())})),d(a,"privBytes",(function(){var e=this.eddsa,t=this.hash(),r=e.encodingLength-1,i=t.slice(0,e.encodingLength);return i[0]&=248,i[r]&=127,i[r]|=64,i})),d(a,"priv",(function(){return this.eddsa.decodeInt(this.privBytes())})),d(a,"hash",(function(){return this.eddsa.hash().update(this.secret()).digest()})),d(a,"messagePrefix",(function(){return this.hash().slice(this.eddsa.encodingLength)})),a.prototype.sign=function(e){return f(this._secret,"KeyPair can only verify"),this.eddsa.sign(e,this)},a.prototype.verify=function(e,t){return this.eddsa.verify(e,t,this)},a.prototype.getSecret=function(e){return f(this._secret,"KeyPair is public only"),i.encode(this.secret(),e)},a.prototype.getPublic=function(e){return i.encode(this.pubBytes(),e)},e.exports=a},function(e,t,r){"use strict";var i=r(2),f=r(0),n=f.assert,d=f.cachedProperty,a=f.parseBytes;function c(e,t){this.eddsa=e,"object"!=typeof t&&(t=a(t)),Array.isArray(t)&&(t={R:t.slice(0,e.encodingLength),S:t.slice(e.encodingLength)}),n(t.R&&t.S,"Signature without R or S"),e.isPoint(t.R)&&(this._R=t.R),t.S instanceof i&&(this._S=t.S),this._Rencoded=Array.isArray(t.R)?t.R:t.Rencoded,this._Sencoded=Array.isArray(t.S)?t.S:t.Sencoded}d(c,"S",(function(){return this.eddsa.decodeInt(this.Sencoded())})),d(c,"R",(function(){return this.eddsa.decodePoint(this.Rencoded())})),d(c,"Rencoded",(function(){return this.eddsa.encodePoint(this.R())})),d(c,"Sencoded",(function(){return this.eddsa.encodeInt(this.S())})),c.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},c.prototype.toHex=function(){return f.encode(this.toBytes(),"hex").toUpperCase()},e.exports=c}]);
lib/BIP32.hs view
@@ -71,6 +71,8 @@ , version_ttub ) where +import Bitcoin.Hash (hash160, check32)+import Bitcoin.Hash.Prim (hmacSHA512) import Control.Applicative import Control.Monad import Data.Bits@@ -81,7 +83,6 @@ import qualified Data.ByteString.Lazy as BL import Data.Word - #ifdef ghcjs_HOST_OS import qualified BIP32.GHCJS as I #else@@ -210,7 +211,7 @@ keyId :: I.Pub -> KeyId {-# INLINE keyId #-}-keyId = KeyId . I.ripemd160 . I.sha256 . I.unPub+keyId = KeyId . hash160 . I.unPub -------------------------------------------------------------------------------- @@ -245,7 +246,7 @@ -------------------------------------------------------------------------------- -- | A derivation path 'Index'.-newtype Index = Index Word32+newtype Index = Index { unIndex :: Word32 } deriving (Eq, Ord, Show) -- | Whether a derivation path 'Index' is hardened. That is, \(2^{31}\) or@@ -296,7 +297,7 @@ subPrvPrv :: Chain -> I.Prv -> Index -> Maybe (Chain, I.Prv) subPrvPrv (Chain ch0) prv0 i1@(Index i1w) = do let pub0 = I.prvToPub prv0- x = I.hmacSHA512 ch0 $ mconcat $ if indexIsHardened i1+ x = hmacSHA512 ch0 $ mconcat $ if indexIsHardened i1 then [B.singleton 0, I.unPrv prv0, word32BE i1w] else [I.unPub pub0, word32BE i1w] (xl, xr) = B.splitAt 32 x@@ -313,7 +314,7 @@ subPubPub :: Chain -> I.Pub -> Index -> Maybe (Chain, I.Pub) subPubPub (Chain ch0) pub0 i1@(Index i1w) = do guard (not (indexIsHardened i1))- let x = I.hmacSHA512 ch0 (I.unPub pub0 <> word32BE i1w)+ let x = hmacSHA512 ch0 (I.unPub pub0 <> word32BE i1w) (xl, xr) = B.splitAt 32 x pub1 <- I.addPubTweak pub0 =<< I.tweak xl ch1 <- chain xr@@ -358,7 +359,7 @@ base58EncodeWithChecksum :: B.ByteString -> B.ByteString {-# INLINE base58EncodeWithChecksum #-} base58EncodeWithChecksum a =- B58.encodeBase58 B58.bitcoinAlphabet (a <> checksum32 a)+ B58.encodeBase58 B58.bitcoinAlphabet (a <> check32 a) -------------------------------------------------------------------------------- @@ -407,7 +408,7 @@ b <- B58.decodeBase58 B58.bitcoinAlphabet a guard (B.length b == 78 + 4) let (raw, ch) = B.splitAt 78 b- guard (ch == checksum32 raw)+ guard (ch == check32 raw) pure raw --------------------------------------------------------------------------------@@ -462,7 +463,3 @@ word32BE :: Word32 -> B.ByteString -- ^ 4 bytes. {-# INLINE word32BE #-} word32BE = BL.toStrict . BB.toLazyByteString . BB.word32BE--checksum32 :: B.ByteString -> B.ByteString -- ^ 4 bytes.-{-# INLINE checksum32 #-}-checksum32 = B.take 4 . I.sha256 . I.sha256
lib/BIP32/GHC.hs view
@@ -13,17 +13,10 @@ , Tweak , tweak-- , hmacSHA512- , ripemd160- , sha256 ) where import Control.Monad-import qualified Crypto.Hash as Hash-import qualified Crypto.MAC.HMAC as HMAC import qualified Crypto.Secp256k1 as K-import qualified Data.ByteArray as BA import qualified Data.ByteString as B --------------------------------------------------------------------------------@@ -108,25 +101,4 @@ tweak :: B.ByteString -> Maybe Tweak {-# INLINE tweak #-} tweak x = Tweak <$> K.tweak x------------------------------------------------------------------------------------hmacSHA512- :: B.ByteString -- ^ Key.- -> B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 64-byte long digest.-{-# INLINE hmacSHA512 #-}-hmacSHA512 k d = BA.convert (HMAC.hmac k d :: HMAC.HMAC Hash.SHA512)--ripemd160- :: B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 20-byte long digest.-{-# INLINE ripemd160 #-}-ripemd160 d = BA.convert (Hash.hash d :: Hash.Digest Hash.RIPEMD160)--sha256- :: B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 32-byte long digest.-{-# INLINE sha256 #-}-sha256 d = BA.convert (Hash.hash d :: Hash.Digest Hash.SHA256)
lib/BIP32/GHCJS.hs view
@@ -17,10 +17,6 @@ , Tweak , tweak-- , hmacSHA512- , ripemd160- , sha256 ) where import Control.Monad@@ -166,52 +162,6 @@ tweak b = do guard (B.length b == 32) pure $ Tweak (byteStringToUint8Array b)-------------------------------------------------------------------------------------- | RIPEMD-160-ripemd160- :: B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 20-byte long digest.-{-# INLINE ripemd160 #-}-ripemd160 = byteStringFromUint8Array . js_ripemd160 . byteStringToUint8Array--foreign import javascript unsafe- "h$bip32.ripemd160($1)"- js_ripemd160 :: TA.Uint8Array -- ^ Data to hash.- -> TA.Uint8Array -- ^ 20-bytes long digest.-------------------------------------------------------------------------------------- | HMAC-SHA512-hmacSHA512- :: B.ByteString -- ^ Arbitrary length key.- -> B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 64-byte long digest.-{-# INLINE hmacSHA512 #-}-hmacSHA512 k d =- byteStringFromUint8Array $ js_hmacSHA512 (byteStringToUint8Array k)- (byteStringToUint8Array d)--foreign import javascript unsafe- "h$bip32.hmacSHA512($1, $2)"- js_hmacSHA512 :: TA.Uint8Array -- ^ Key.- -> TA.Uint8Array -- ^ Data to hash.- -> TA.Uint8Array -- ^ 64-bytes long digest.-------------------------------------------------------------------------------------- | SHA256-sha256- :: B.ByteString -- ^ Data to hash.- -> B.ByteString -- ^ 32-byte long digest.-{-# INLINE sha256 #-}-sha256 = byteStringFromUint8Array . js_sha256 . byteStringToUint8Array--foreign import javascript unsafe- "h$bip32.sha256($1)"- js_sha256 :: TA.Uint8Array -- ^ Data to hash.- -> TA.Uint8Array -- ^ 32-bytes long digest. --------------------------------------------------------------------------------