From 624b61197eff903fef14694a3a6d2836cdf03c5b Mon Sep 17 00:00:00 2001 From: Mike Hamburg Date: Thu, 7 Oct 2010 19:02:59 -0700 Subject: [PATCH] ecdsa works! now time for some tests... --- core/bn.js | 223 +++++++++++++++++++++++++++++++++----------- core/convenience.js | 15 +-- core/ecc.js | 160 ++++++++++++++++++------------- core/ocb2.js | 5 +- sjcl.js | 101 +++++++++++++------- 5 files changed, 336 insertions(+), 168 deletions(-) diff --git a/core/bn.js b/core/bn.js index 22bc869..d7b9d16 100644 --- a/core/bn.js +++ b/core/bn.js @@ -1,14 +1,14 @@ /** * Constructs a new bignum from another bignum, a number or a hex string. */ -function bn(it) { +sjcl.bn = function(it) { this.initWith(it); } -bn.prototype = { +sjcl.bn.prototype = { radix: 24, maxMul: 8, - _class: bn, + _class: sjcl.bn, copy: function() { return new this._class(this); @@ -103,29 +103,116 @@ bn.prototype = { /** this += that. Does not normalize. */ addM: function(that) { if (typeof(that) !== "object") { that = new this._class(that); } - var i; - for (i=this.limbs.length; i> r; + } + if (carry) l.push(carry); + return this; + }, + + /** this /= 2, rounded down. Requires normalized; ends up normalized. */ + halveM: function() { + var i, carry=0, tmp, r=this.radix, l=this.limbs; + for (i=l.length-1; i>=0; i--) { + tmp = l[i]; + l[i] = (tmp+carry)>>1; + carry = (tmp&1) << r; + } + if (!l[l.length-1]) l.pop(); + return this; + }, /** this -= that. Does not normalize. */ subM: function(that) { if (typeof(that) !== "object") { that = new this._class(that); } - var i; - for (i=this.limbs.length; i 0; ci--) { + that.halveM(); + if (out.greaterEquals(that)) { + out.subM(that).normalize(); + } + } + return out.trim(); + }, + + /** return inverse mod prime p. p must be odd. Binary extended Euclidean algorithm mod p. */ + inverseMod: function(p) { + var a = new sjcl.bn(1), b = new sjcl.bn(0), x = new sjcl.bn(this), y = new sjcl.bn(p), tmp, i, nz=1; + + if (!(p.limbs[0] & 1)) { + throw (new sjcl.exception.invalid("inverseMod: p must be odd")); + } + + // invariant: y is odd + do { + if (x.limbs[0] & 1) { + if (!x.greaterEquals(y)) { + // x < y; swap everything + tmp = x; x = y; y = tmp; + tmp = a; a = b; b = tmp; + } + x.subM(y); + x.normalize(); + + if (!a.greaterEquals(b)) { + a.addM(p); + } + a.subM(b); + } + + // cut everything in half + x.halveM(); + if (a.limbs[0] & 1) { + a.addM(p); + } + a.normalize(); + a.halveM(); + + // check for termination: x ?= 0 + for (i=nz=0; i= 0; i--) { + out = w.concat(out, [w.partial(this.radix, this.getLimb(i))]); + } + return out; + }, + + /** Return the length in bits, rounded up to the nearest byte. */ + bitLength: function() { + this.fullReduce(); + var out = this.radix * (this.limbs.length - 1); + var b = this.limbs[this.limbs.length - 1]; + for (; b; b >>= 1) { + out ++; + } + return out+7 & -8; } }; -/* Initialization routines for bignum library. */ -(function init(){ - bn.prototype.ipv = 1 / (bn.prototype.placeVal = Math.pow(2,bn.prototype.radix)); - bn.prototype.radixMask = (1 << bn.prototype.radix) - 1; -})(); +sjcl.bn.fromBits = function(bits) { + var out = new this(), words=[], w=sjcl.bitArray, t = this.prototype, + l = Math.min(this.bitLength || 0x100000000, w.bitLength(bits)), e = l % t.radix || t.radix; + + words[0] = w.extract(bits, 0, e); + for (; e < l; e += t.radix) { + words.unshift(w.extract(bits, e, t.radix)); + } + + out.limbs = words; + return out; +}; + + + +sjcl.bn.prototype.ipv = 1 / (sjcl.bn.prototype.placeVal = Math.pow(2,sjcl.bn.prototype.radix)) +sjcl.bn.prototype.radixMask = (1 << sjcl.bn.prototype.radix) - 1; /** * Creates a new subclass of bn, based on reduction modulo a pseudo-Mersenne prime, * i.e. a prime of the form 2^e + sum(a * 2^b),where the sum is negative and sparse. */ -function pseudoMersennePrime(exponent, coeff) { +sjcl.bn.pseudoMersennePrime = function(exponent, coeff) { function p(it) { this.initWith(it); /*if (this.limbs[this.modOffset]) { @@ -239,7 +368,7 @@ function pseudoMersennePrime(exponent, coeff) { }*/ } - var ppr = p.prototype = new bn(), i, tmp, mo; + var ppr = p.prototype = new sjcl.bn(), i, tmp, mo; mo = ppr.modOffset = Math.ceil(tmp = exponent / ppr.radix); ppr.exponent = exponent; ppr.offset = []; @@ -248,7 +377,7 @@ function pseudoMersennePrime(exponent, coeff) { ppr.fullMask = 0; ppr.fullOffset = []; ppr.fullFactor = []; - ppr.modulus = p.modulus = new bn(Math.pow(2,exponent)); + ppr.modulus = p.modulus = new sjcl.bn(Math.pow(2,exponent)); ppr.fullMask = 0|-Math.pow(2, exponent % ppr.radix); @@ -257,7 +386,7 @@ function pseudoMersennePrime(exponent, coeff) { ppr.fullOffset[i] = Math.ceil(coeff[i][0] / ppr.radix - tmp); ppr.factor[i] = coeff[i][1] * Math.pow(1/2, exponent - coeff[i][0] + ppr.offset[i] * ppr.radix); ppr.fullFactor[i] = coeff[i][1] * Math.pow(1/2, exponent - coeff[i][0] + ppr.fullOffset[i] * ppr.radix); - ppr.modulus.addM(new bn(Math.pow(2,coeff[i][0])*coeff[i][1])); + ppr.modulus.addM(new sjcl.bn(Math.pow(2,coeff[i][0])*coeff[i][1])); ppr.minOffset = Math.min(ppr.minOffset, -ppr.offset[i]); // conservative } ppr._class = p; @@ -336,49 +465,29 @@ function pseudoMersennePrime(exponent, coeff) { return (this.power(this.modulus.sub(2))); }; - ppr.toBits = function() { - this.fullReduce(); - var i=this.modOffset - 1, w=sjcl.bitArray, e = (this.exponent + 7 & -8) % this.radix || this.radix; - out = [w.partial(e, this.getLimb(i))]; - for (i--; i >= 0; i--) { - out = w.concat(out, [w.partial(this.radix, this.getLimb(i))]); - } - return out; - }; - - p.fromBits = function(bits) { - - var out = new this(), words=[], w=sjcl.bitArray, t = this.prototype, - l = Math.min(w.bitLength(bits), t.exponent + 7 & -8), e = l % t.radix || t.radix; - - words[0] = w.extract(bits, 0, e); - for (; e < l; e += t.radix) { - words.unshift(w.extract(bits, e, t.radix)); - } - - out.limbs = words; - return out; - }; + p.fromBits = sjcl.bn.fromBits; return p; } // a small Mersenne prime -p127 = pseudoMersennePrime(127, [[0,-1]]); +sjcl.bn.prime = { + p127: sjcl.bn.pseudoMersennePrime(127, [[0,-1]]), -// Bernstein's prime for Curve25519 -p25519 = pseudoMersennePrime(255, [[0,-19]]); + // Bernstein's prime for Curve25519 + p25519: sjcl.bn.pseudoMersennePrime(255, [[0,-19]]), -// NIST primes -p192 = pseudoMersennePrime(192, [[0,-1],[64,-1]]); -p224 = pseudoMersennePrime(224, [[0,1],[96,-1]]); -p256 = pseudoMersennePrime(256, [[0,-1],[96,1],[192,1],[224,-1]]); -p384 = pseudoMersennePrime(384, [[0,-1],[32,1],[96,-1],[128,-1]]); -p521 = pseudoMersennePrime(521, [[0,-1]]); + // NIST primes + p192: sjcl.bn.pseudoMersennePrime(192, [[0,-1],[64,-1]]), + p224: sjcl.bn.pseudoMersennePrime(224, [[0,1],[96,-1]]), + p256: sjcl.bn.pseudoMersennePrime(256, [[0,-1],[96,1],[192,1],[224,-1]]), + p384: sjcl.bn.pseudoMersennePrime(384, [[0,-1],[32,1],[96,-1],[128,-1]]), + p521: sjcl.bn.pseudoMersennePrime(521, [[0,-1]]) +}; -bn.random = function(modulus, paranoia) { - if (typeof modulus != "object") { modulus = new bn(modulus); } - var words, i, l = modulus.limbs.length, m = modulus.limbs[l-1]+1, out = new bn(); +sjcl.bn.random = function(modulus, paranoia) { + if (typeof modulus != "object") { modulus = new sjcl.bn(modulus); } + var words, i, l = modulus.limbs.length, m = modulus.limbs[l-1]+1, out = new sjcl.bn(); while (true) { // get a sequence whose first digits make sense do { diff --git a/core/convenience.js b/core/convenience.js index 2a7a3f2..8fa7a45 100644 --- a/core/convenience.js +++ b/core/convenience.js @@ -58,7 +58,8 @@ /* do the encryption */ p.ct = sjcl.mode[p.mode].encrypt(prp, plaintext, p.iv, p.adata, p.tag); - return j.encode(j._subtract(p, j.defaults)); + //return j.encode(j._subtract(p, j.defaults)); + return j.encode(p); }, /** Simple decryption function. @@ -122,7 +123,7 @@ if (!i.match(/^[a-z0-9]+$/i)) { throw new sjcl.exception.invalid("json encode: invalid property name"); } - out += comma + i + ':'; + out += comma + "'" + i + "':"; comma = ','; switch (typeof obj[i]) { @@ -160,13 +161,13 @@ } var a = str.replace(/^\{|\}$/g, '').split(/,/), out={}, i, m; for (i=0; i=0; i--) { - for (j=bn.prototype.radix-4; j>=0; j-=4) { + for (j=sjcl.bn.prototype.radix-4; j>=0; j-=4) { out = out.doubl().doubl().doubl().doubl().add(multiples[k[i]>>j & 0xF]); } } @@ -221,75 +217,77 @@ sjcl.ecc.curve.prototype.fromBits = function (bits) { return p; }; -sjcl.ecc.p192curve = new sjcl.ecc.curve( - p192, - "0x662107c8eb94364e4b2dd7ce", - -3, - "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", - "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", - "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"); - -sjcl.ecc.p224curve = new sjcl.ecc.curve( - p224, - "0xe95c1f470fc1ec22d6baa3a3d5c4", - -3, - "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4", - "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", - "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"); - -sjcl.ecc.p256curve = new sjcl.ecc.curve( - p256, - "0x4319055358e8617b0c46353d039cdaae", - -3, - "0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", - "0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", - "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5"); - -sjcl.ecc.p384curve = new sjcl.ecc.curve( - p384, - "0x389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68c", - -3, - "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef", - "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", - "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f"); - sjcl.ecc.curves = { - 192: sjcl.ecc.p192curve, - 224: sjcl.ecc.p224curve, - 256: sjcl.ecc.p256curve, - 384: sjcl.ecc.p384curve + c192: new sjcl.ecc.curve( + sjcl.bn.prime.p192, + "0x662107c8eb94364e4b2dd7ce", + -3, + "0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1", + "0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012", + "0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"), + + c224: new sjcl.ecc.curve( + sjcl.bn.prime.p224, + "0xe95c1f470fc1ec22d6baa3a3d5c4", + -3, + "0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4", + "0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21", + "0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"), + + c256: new sjcl.ecc.curve( + sjcl.bn.prime.p256, + "0x4319055358e8617b0c46353d039cdaae", + -3, + "0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", + "0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", + "0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5"), + + c384: new sjcl.ecc.curve( + sjcl.bn.prime.p384, + "0x389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68c", + -3, + "0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef", + "0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", + "0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f") }; -sjcl.ecc.elGamal = { - publicKey: function(curve, point) { - this._curve = curve; - if (point instanceof Array) { - this._point = curve.fromBits(point); - } else { - this._point = point; - } - }, - secretKey: function(curve, exponent) { - this._curve = curve; - this._exponent = exponent; - }, - generateKeys: function(curve, paranoia) { - if (typeof curve == "number") { - curve = sjcl.ecc.curves[curve]; - if (curve === undefined) { - throw new sjcl.exception.invalid("no such curve"); +/* Diffie-Hellman-like public-key system */ +sjcl.ecc._dh = function(cn) { + sjcl.ecc[cn] = { + publicKey: function(curve, point) { + this._curve = curve; + if (point instanceof Array) { + this._point = curve.fromBits(point); + } else { + this._point = point; } + }, + + secretKey: function(curve, exponent) { + this._curve = curve; + this._exponent = exponent; + }, + + generateKeys: function(curve, paranoia) { + if (typeof curve == "number") { + curve = sjcl.ecc.curves['c'+curve]; + if (curve === undefined) { + throw new sjcl.exception.invalid("no such curve"); + } + } + var sec = sjcl.bn.random(curve.r, paranoia), pub = curve.G.mult(sec); + return { pub: new sjcl.ecc[cn].publicKey(curve, pub), + sec: new sjcl.ecc[cn].secretKey(curve, sec) }; } - var sec = bn.random(curve.r, paranoia), pub = curve.G.mult(sec); - return { pub: new sjcl.ecc.elGamal.publicKey(curve, pub), - sec: new sjcl.ecc.elGamal.secretKey(curve, sec) }; - } + }; }; +sjcl.ecc._dh("elGamal"); + sjcl.ecc.elGamal.publicKey.prototype = { kem: function(paranoia) { - var sec = bn.random(this._curve.r, paranoia), + var sec = sjcl.bn.random(this._curve.r, paranoia), tag = this._curve.G.mult(sec).toBits(), key = sjcl.hash.sha256.hash(this._point.mult(sec).toBits()); return { key: key, tag: tag }; @@ -302,5 +300,35 @@ sjcl.ecc.elGamal.secretKey.prototype = { } }; +sjcl.ecc._dh("dsa"); +sjcl.ecc.dsa.secretKey.prototype = { + sign: function(hash, paranoia) { + var R = this._curve.r, + l = R.bitLength(), + k = kkkk = sjcl.bn.random(R.sub(1), paranoia).add(1), + r = this._curve.G.mult(k).x.mod(R), + s = sjcl.bn.fromBits(hash).add(r.mul(this._exponent)).inverseMod(R).mul(kkkk).mod(R); + return sjcl.bitArray.concat(r.toBits(l), s.toBits(l)); + } +}; +sjcl.ecc.dsa.publicKey.prototype = { + verify: function(hash, rs) { + var w = sjcl.bitArray, + R = this._curve.r, + l = R.bitLength(), + r = sjcl.bn.fromBits(w.bitSlice(rs,0,l)), + s = sjcl.bn.fromBits(w.bitSlice(rs,l,2*l)), + hG = sjcl.bn.fromBits(hash).mul(s).mod(R), + hA = r.mul(s).mod(R), + jG = this._curve.G.toJac(), + r2 = jG.mult(hG, this._curve.G).add(this._point.mult(hA)).toAffine().x, + corrupt = sjcl.exception.corrupt; + + if (r.equals(0) || s.equals(0) || r.greaterEquals(R) || s.greaterEquals(R) || !r2.equals(r)) { + throw (new corrupt("signature didn't check out")); + } + return true; + } +} diff --git a/core/ocb2.js b/core/ocb2.js index 655c8d1..298bcdb 100644 --- a/core/ocb2.js +++ b/core/ocb2.js @@ -50,7 +50,8 @@ sjcl.mode.ocb2 = { /* Encrypt a non-final block */ bi = plaintext.slice(i,i+4); checksum = xor(checksum, bi); - output = output.concat(xor(delta,prp.encrypt(xor(delta, bi)))); + bi = xor(delta,prp.encrypt(xor(delta, bi))); + output.splice(i,0,bi[0],bi[1],bi[2],bi[3]); delta = times2(delta); } @@ -105,7 +106,7 @@ sjcl.mode.ocb2 = { /* Decrypt a non-final block */ bi = xor(delta, prp.decrypt(xor(delta, ciphertext.slice(i,i+4)))); checksum = xor(checksum, bi); - output = output.concat(bi); + output.splice(i,0,bi[0],bi[1],bi[2],bi[3]); delta = times2(delta); } diff --git a/sjcl.js b/sjcl.js index 36a1920..fe109df 100644 --- a/sjcl.js +++ b/sjcl.js @@ -1,39 +1,68 @@ -"use strict";var sjcl={cipher:{},hash:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a}}}; -sjcl.cipher.aes=function(a){this.h[0][0][0]||this.w();var b,c,d,e,f=this.h[0][4],g=this.h[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.a=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^ +"use strict";var sjcl={cipher:{},hash:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a},notReady:function(a){this.toString=function(){return"GENERATOR NOT READY: "+this.message};this.message=a}}}; +sjcl.cipher.aes=function(a){this.l[0][0][0]||this.F();var b,c,d,e,f=this.l[0][4],g=this.l[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.c=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^ g[3][f[c&255]]}}; -sjcl.cipher.aes.prototype={encrypt:function(a){return this.H(a,0)},decrypt:function(a){return this.H(a,1)},h:[[[],[],[],[],[]],[[],[],[],[],[]]],w:function(){var a=this.h[0],b=this.h[1],c=a[4],d=b[4],e,f,g,h=[],i=[],k,j,l,m;for(e=0;e<0x100;e++)i[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=k||1,g=i[g]||1){l=g^g<<1^g<<2^g<<3^g<<4;l=l>>8^l&255^99;c[f]=l;d[l]=f;j=h[e=h[k=h[f]]];m=j*0x1010101^e*0x10001^k*0x101^f*0x1010100;j=h[l]*0x101^l*0x1010100;for(e=0;e<4;e++){a[e][f]=j=j<<24^j>>>8;b[e][l]=m=m<<24^m>>>8}}for(e= -0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},H:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.a[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,i,k=c.length/4-2,j,l=4,m=[0,0,0,0];g=this.h[b];var n=g[0],o=g[1],p=g[2],q=g[3],r=g[4];for(j=0;j>>24]^o[e>>16&255]^p[f>>8&255]^q[a&255]^c[l];h=n[e>>>24]^o[f>>16&255]^p[a>>8&255]^q[d&255]^c[l+1];i=n[f>>>24]^o[a>>16&255]^p[d>>8&255]^q[e&255]^c[l+2];a=n[a>>>24]^o[d>>16& -255]^p[e>>8&255]^q[f&255]^c[l+3];l+=4;d=g;e=h;f=i}for(j=0;j<4;j++){m[b?3&-j:j]=r[d>>>24]<<24^r[e>>16&255]<<16^r[f>>8&255]<<8^r[a&255]^c[l++];g=d;d=e;e=f;f=a;a=g}return m}}; -sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.P(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},concat:function(a,b){if(a.length===0||b.length===0)return a.concat(b);var c=a[a.length-1],d=sjcl.bitArray.getPartial(c);return d===32?a.concat(b):sjcl.bitArray.P(b,d,c|0,a.slice(0,a.length-1))},bitLength:function(a){var b=a.length;if(b===0)return 0;return(b-1)*32+sjcl.bitArray.getPartial(a[b-1])},clamp:function(a,b){if(a.length*320&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a); -for(e=0;e>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},k:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}}; +sjcl.cipher.aes.prototype={encrypt:function(a){return this.O(a,0)},decrypt:function(a){return this.O(a,1)},l:[[[],[],[],[],[]],[[],[],[],[],[]]],F:function(){var a=this.l[0],b=this.l[1],c=a[4],d=b[4],e,f,g,h=[],j=[],n,l,m,o;for(e=0;e<0x100;e++)j[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=n||1,g=j[g]||1){m=g^g<<1^g<<2^g<<3^g<<4;m=m>>8^m&255^99;c[f]=m;d[m]=f;l=h[e=h[n=h[f]]];o=l*0x1010101^e*0x10001^n*0x101^f*0x1010100;l=h[m]*0x101^m*0x1010100;for(e=0;e<4;e++){a[e][f]=l=l<<24^l>>>8;b[e][m]=o=o<<24^o>>>8}}for(e= +0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},O:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.c[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,j,n=c.length/4-2,l,m=4,o=[0,0,0,0];g=this.l[b];var q=g[0],r=g[1],s=g[2],t=g[3],u=g[4];for(l=0;l>>24]^r[e>>16&255]^s[f>>8&255]^t[a&255]^c[m];h=q[e>>>24]^r[f>>16&255]^s[a>>8&255]^t[d&255]^c[m+1];j=q[f>>>24]^r[a>>16&255]^s[d>>8&255]^t[e&255]^c[m+2];a=q[a>>>24]^r[d>>16& +255]^s[e>>8&255]^t[f&255]^c[m+3];m+=4;d=g;e=h;f=j}for(l=0;l<4;l++){o[b?3&-l:l]=u[d>>>24]<<24^u[e>>16&255]<<16^u[f>>8&255]<<8^u[a&255]^c[m++];g=d;d=e;e=f;f=a;a=g}return o}}; +sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.Z(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},extract:function(a,b,c){var d=-b-c&31;return((b+c-1^b)&-32?a[b/32|0]<<32-d^a[b/32+1|0]>>>d:a[b/32|0]>>>d)&(1<0&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a);for(e=0;e>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},o:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}}; sjcl.codec.utf8String={fromBits:function(a){var b="",c=sjcl.bitArray.bitLength(a),d,e;for(d=0;d>>24);e<<=8}return decodeURIComponent(escape(b))},toBits:function(a){a=unescape(encodeURIComponent(a));var b=[],c,d=0;for(c=0;c>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.D,f=0,g;for(c=0;c26){d-=26;b.push(f^g>>>d);f=g<<32-d}else{d+=6;f^=g<<32-d}}d&56&&b.push(sjcl.bitArray.partial(d&56,f,1));return b}};sjcl.hash.sha256=function(a){this.a[0]||this.w();if(a){this.n=a.n.slice(0);this.i=a.i.slice(0);this.e=a.e}else this.reset()};sjcl.hash.sha256.hash=function(a){return(new sjcl.hash.sha256).update(a).finalize()}; -sjcl.hash.sha256.prototype={blockSize:512,reset:function(){this.n=this.N.slice(0);this.i=[];this.e=0;return this},update:function(a){if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);var b,c=this.i=sjcl.bitArray.concat(this.i,a);b=this.e;a=this.e=b+sjcl.bitArray.bitLength(a);for(b=512+b&-512;b<=a;b+=512)this.C(c.splice(0,16));return this},finalize:function(){var a,b=this.i,c=this.n;b=sjcl.bitArray.concat(b,[sjcl.bitArray.partial(1,1)]);for(a=b.length+2;a&15;a++)b.push(0);b.push(Math.floor(this.e/ -4294967296));for(b.push(this.e|0);b.length;)this.C(b.splice(0,16));this.reset();return c},N:[],a:[],w:function(){function a(e){return(e-Math.floor(e))*0x100000000|0}var b=0,c=2,d;a:for(;b<64;c++){for(d=2;d*d<=c;d++)if(c%d===0)continue a;if(b<8)this.N[b]=a(Math.pow(c,0.5));this.a[b]=a(Math.pow(c,1/3));b++}},C:function(a){var b,c,d=a.slice(0),e=this.n,f=this.a,g=e[0],h=e[1],i=e[2],k=e[3],j=e[4],l=e[5],m=e[6],n=e[7];for(a=0;a<64;a++){if(a<16)b=d[a];else{b=d[a+1&15];c=d[a+14&15];b=d[a&15]=(b>>>7^b>>>18^ -b>>>3^b<<25^b<<14)+(c>>>17^c>>>19^c>>>10^c<<15^c<<13)+d[a&15]+d[a+9&15]|0}b=b+n+(j>>>6^j>>>11^j>>>25^j<<26^j<<21^j<<7)+(m^j&(l^m))+f[a];n=m;m=l;l=j;j=k+b|0;k=i;i=h;h=g;g=b+(h&i^k&(h^i))+(h>>>2^h>>>13^h>>>22^h<<30^h<<19^h<<10)|0}e[0]=e[0]+g|0;e[1]=e[1]+h|0;e[2]=e[2]+i|0;e[3]=e[3]+k|0;e[4]=e[4]+j|0;e[5]=e[5]+l|0;e[6]=e[6]+m|0;e[7]=e[7]+n|0}}; -sjcl.mode.ccm={name:"ccm",encrypt:function(a,b,c,d,e){var f,g=b.slice(0),h=sjcl.bitArray,i=h.bitLength(c)/8,k=h.bitLength(g)/8;e=e||64;d=d||[];if(i<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(f=2;f<4&&k>>>8*f;f++);if(f<15-i)f=15-i;c=h.clamp(c,8*(15-f));b=sjcl.mode.ccm.G(a,b,c,d,e,f);g=sjcl.mode.ccm.I(a,g,c,b,e,f);return h.concat(g.data,g.tag)},decrypt:function(a,b,c,d,e){e=e||64;d=d||[];var f=sjcl.bitArray,g=f.bitLength(c)/8,h=f.bitLength(b),i=f.clamp(b,h-e),k=f.bitSlice(b, -h-e);h=(h-e)/8;if(g<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(b=2;b<4&&h>>>8*b;b++);if(b<15-g)b=15-g;c=f.clamp(c,8*(15-b));i=sjcl.mode.ccm.I(a,i,c,k,e,b);a=sjcl.mode.ccm.G(a,i.data,c,d,e,b);if(!f.equal(i.tag,a))throw new sjcl.exception.corrupt("ccm: tag doesn't match");return i.data},G:function(a,b,c,d,e,f){var g=[],h=sjcl.bitArray,i=h.k;e/=8;if(e%2||e<4||e>16)throw new sjcl.exception.invalid("ccm: invalid tag length");if(d.length>0xffffffff||b.length>0xffffffff)throw new sjcl.exception.bug("ccm: can't deal with 4GiB or more data"); -f=[h.partial(8,(d.length?64:0)|e-2<<2|f-1)];f=h.concat(f,c);f[3]|=h.bitLength(b)/8;f=a.encrypt(f);if(d.length){c=h.bitLength(d)/8;if(c<=65279)g=[h.partial(16,c)];else if(c<=0xffffffff)g=h.concat([h.partial(16,65534)],[c]);g=h.concat(g,d);for(d=0;d>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.M=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.l=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b0;){b++;e>>>=1}this.b[g].update([d,this.J++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.b[g].update([d,this.J++,3,b,f,a.length]);this.b[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.j[g]+=b;this.f+=b;if(h===0){this.isReady()!==0&&this.K("seeded",Math.max(this.g, -this.f));this.K("progress",this.getProgress())}},isReady:function(a){a=this.B[a!==undefined?a:this.t];return this.g&&this.g>=a?this.j[0]>80&&(new Date).valueOf()>this.O?3:1:this.f>=a?2:0},getProgress:function(a){a=this.B[a?a:this.t];return this.g>=a?1["0"]:this.f>a?1["0"]:this.f/a},startCollectors:function(){if(!this.m){if(window.addEventListener){window.addEventListener("load",this.o,false);window.addEventListener("mousemove",this.p,false)}else if(document.attachEvent){document.attachEvent("onload", -this.o);document.attachEvent("onmousemove",this.p)}else throw new sjcl.exception.bug("can't attach event");this.m=true}},stopCollectors:function(){if(this.m){if(window.removeEventListener){window.removeEventListener("load",this.o);window.removeEventListener("mousemove",this.p)}else if(window.detachEvent){window.detachEvent("onload",this.o);window.detachEvent("onmousemove",this.p)}this.m=false}},addEventListener:function(a,b){this.r[a][this.Q++]=b},removeEventListener:function(a,b){var c;a=this.r[a]; -var d=[];for(c in a)a.hasOwnProperty[c]&&a[c]===b&&d.push(c);for(b=0;b=1<this.g)this.g=c;this.z++;this.T(b)},p:function(a){sjcl.random.addEntropy([a.x|| -a.clientX||a.offsetX,a.y||a.clientY||a.offsetY],2,"mouse")},o:function(){sjcl.random.addEntropy(new Date,2,"loadtime")},K:function(a,b){var c;a=sjcl.random.r[a];var d=[];for(c in a)a.hasOwnProperty(c)&&d.push(a[c]);for(c=0;c -4)throw new sjcl.exception.invalid("json encrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,f);a=c.key.slice(0,f.ks/32);f.salt=c.salt}if(typeof b==="string")b=sjcl.codec.utf8String.toBits(b);c=new sjcl.cipher[f.cipher](a);e.c(d,f);d.key=a;f.ct=sjcl.mode[f.mode].encrypt(c,b,f.iv,f.adata,f.tag);return e.encode(e.V(f,e.defaults))},decrypt:function(a,b,c,d){c=c||{};d=d||{};var e=sjcl.json;b=e.c(e.c(e.c({},e.defaults),e.decode(b)),c,true);if(typeof b.salt==="string")b.salt= -sjcl.codec.base64.toBits(b.salt);if(typeof b.iv==="string")b.iv=sjcl.codec.base64.toBits(b.iv);if(!sjcl.mode[b.mode]||!sjcl.cipher[b.cipher]||typeof a==="string"&&b.iter<=100||b.ts!==64&&b.ts!==96&&b.ts!==128||b.ks!==128&&b.ks!==192&&b.ks!==0x100||!b.iv||b.iv.length<2||b.iv.length>4)throw new sjcl.exception.invalid("json decrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,b);a=c.key.slice(0,b.ks/32);b.salt=c.salt}c=new sjcl.cipher[b.cipher](a);c=sjcl.mode[b.mode].decrypt(c, -b.ct,b.iv,b.adata,b.tag);e.c(d,b);d.key=a;return sjcl.codec.utf8String.fromBits(c)},encode:function(a){var b,c="{",d="";for(b in a)if(a.hasOwnProperty(b)){if(!b.match(/^[a-z0-9]+$/i))throw new sjcl.exception.invalid("json encode: invalid property name");c+=d+b+":";d=",";switch(typeof a[b]){case "number":case "boolean":c+=a[b];break;case "string":c+='"'+escape(a[b])+'"';break;case "object":c+='"'+sjcl.codec.base64.fromBits(a[b],1)+'"';break;default:throw new sjcl.exception.bug("json encode: unsupported type"); -}}return c+"}"},decode:function(a){a=a.replace(/\s/g,"");if(!a.match(/^\{.*\}$/))throw new sjcl.exception.invalid("json decode: this isn't json!");a=a.replace(/^\{|\}$/g,"").split(/,/);var b={},c,d;for(c=0;c>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.L,f=0,g;for(c=0;c26){d-=26;b.push(f^g>>>d);f=g<<32-d}else{d+=6;f^=g<<32-d}}d&56&&b.push(sjcl.bitArray.partial(d&56,f,1));return b}};sjcl.hash.sha256=function(a){this.c[0]||this.F();if(a){this.s=a.s.slice(0);this.m=a.m.slice(0);this.i=a.i}else this.reset()};sjcl.hash.sha256.hash=function(a){return(new sjcl.hash.sha256).update(a).finalize()}; +sjcl.hash.sha256.prototype={blockSize:512,reset:function(){this.s=this.W.slice(0);this.m=[];this.i=0;return this},update:function(a){if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);var b,c=this.m=sjcl.bitArray.concat(this.m,a);b=this.i;a=this.i=b+sjcl.bitArray.bitLength(a);for(b=512+b&-512;b<=a;b+=512)this.K(c.splice(0,16));return this},finalize:function(){var a,b=this.m,c=this.s;b=sjcl.bitArray.concat(b,[sjcl.bitArray.partial(1,1)]);for(a=b.length+2;a&15;a++)b.push(0);b.push(Math.floor(this.i/ +4294967296));for(b.push(this.i|0);b.length;)this.K(b.splice(0,16));this.reset();return c},W:[],c:[],F:function(){function a(e){return(e-Math.floor(e))*0x100000000|0}var b=0,c=2,d;a:for(;b<64;c++){for(d=2;d*d<=c;d++)if(c%d===0)continue a;if(b<8)this.W[b]=a(Math.pow(c,0.5));this.c[b]=a(Math.pow(c,1/3));b++}},K:function(a){var b,c,d=a.slice(0),e=this.s,f=this.c,g=e[0],h=e[1],j=e[2],n=e[3],l=e[4],m=e[5],o=e[6],q=e[7];for(a=0;a<64;a++){if(a<16)b=d[a];else{b=d[a+1&15];c=d[a+14&15];b=d[a&15]=(b>>>7^b>>>18^ +b>>>3^b<<25^b<<14)+(c>>>17^c>>>19^c>>>10^c<<15^c<<13)+d[a&15]+d[a+9&15]|0}b=b+q+(l>>>6^l>>>11^l>>>25^l<<26^l<<21^l<<7)+(o^l&(m^o))+f[a];q=o;o=m;m=l;l=n+b|0;n=j;j=h;h=g;g=b+(h&j^n&(h^j))+(h>>>2^h>>>13^h>>>22^h<<30^h<<19^h<<10)|0}e[0]=e[0]+g|0;e[1]=e[1]+h|0;e[2]=e[2]+j|0;e[3]=e[3]+n|0;e[4]=e[4]+l|0;e[5]=e[5]+m|0;e[6]=e[6]+o|0;e[7]=e[7]+q|0}}; +sjcl.mode.ccm={name:"ccm",encrypt:function(a,b,c,d,e){var f,g=b.slice(0),h=sjcl.bitArray,j=h.bitLength(c)/8,n=h.bitLength(g)/8;e=e||64;d=d||[];if(j<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(f=2;f<4&&n>>>8*f;f++);if(f<15-j)f=15-j;c=h.clamp(c,8*(15-f));b=sjcl.mode.ccm.N(a,b,c,d,e,f);g=sjcl.mode.ccm.P(a,g,c,b,e,f);return h.concat(g.data,g.tag)},decrypt:function(a,b,c,d,e){e=e||64;d=d||[];var f=sjcl.bitArray,g=f.bitLength(c)/8,h=f.bitLength(b),j=f.clamp(b,h-e),n=f.bitSlice(b, +h-e);h=(h-e)/8;if(g<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(b=2;b<4&&h>>>8*b;b++);if(b<15-g)b=15-g;c=f.clamp(c,8*(15-b));j=sjcl.mode.ccm.P(a,j,c,n,e,b);a=sjcl.mode.ccm.N(a,j.data,c,d,e,b);if(!f.equal(j.tag,a))throw new sjcl.exception.corrupt("ccm: tag doesn't match");return j.data},N:function(a,b,c,d,e,f){var g=[],h=sjcl.bitArray,j=h.o;e/=8;if(e%2||e<4||e>16)throw new sjcl.exception.invalid("ccm: invalid tag length");if(d.length>0xffffffff||b.length>0xffffffff)throw new sjcl.exception.bug("ccm: can't deal with 4GiB or more data"); +f=[h.partial(8,(d.length?64:0)|e-2<<2|f-1)];f=h.concat(f,c);f[3]|=h.bitLength(b)/8;f=a.encrypt(f);if(d.length){c=h.bitLength(d)/8;if(c<=65279)g=[h.partial(16,c)];else if(c<=0xffffffff)g=h.concat([h.partial(16,65534)],[c]);g=h.concat(g,d);for(d=0;d>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.V=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.p=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b0;){b++;e>>>=1}this.f[g].update([d,this.R++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.f[g].update([d,this.R++,3,b,f,a.length]);this.f[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.n[g]+=b;this.j+=b;if(h===0){this.isReady()!==0&&this.T("seeded", +Math.max(this.k,this.j));this.T("progress",this.getProgress())}},isReady:function(a){a=this.J[a!==undefined?a:this.C];return this.k&&this.k>=a?this.n[0]>80&&(new Date).valueOf()>this.X?3:1:this.j>=a?2:0},getProgress:function(a){a=this.J[a?a:this.C];return this.k>=a?1["0"]:this.j>a?1["0"]:this.j/a},startCollectors:function(){if(!this.q){if(window.addEventListener){window.addEventListener("load",this.t,false);window.addEventListener("mousemove",this.u,false)}else if(document.attachEvent){document.attachEvent("onload", +this.t);document.attachEvent("onmousemove",this.u)}else throw new sjcl.exception.bug("can't attach event");this.q=true}},stopCollectors:function(){if(this.q){if(window.removeEventListener){window.removeEventListener("load",this.t);window.removeEventListener("mousemove",this.u)}else if(window.detachEvent){window.detachEvent("onload",this.t);window.detachEvent("onmousemove",this.u)}this.q=false}},addEventListener:function(a,b){this.A[a][this.aa++]=b},removeEventListener:function(a,b){var c;a=this.A[a]; +var d=[];for(c in a)a.hasOwnProperty[c]&&a[c]===b&&d.push(c);for(b=0;b=1<this.k)this.k=c;this.H++;this.da(b)},u:function(a){sjcl.random.addEntropy([a.x|| +a.clientX||a.offsetX,a.y||a.clientY||a.offsetY],2,"mouse")},t:function(){sjcl.random.addEntropy(new Date,2,"loadtime")},T:function(a,b){var c;a=sjcl.random.A[a];var d=[];for(c in a)a.hasOwnProperty(c)&&d.push(a[c]);for(c=0;c +4)throw new sjcl.exception.invalid("json encrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,f);a=c.key.slice(0,f.ks/32);f.salt=c.salt}if(typeof b==="string")b=sjcl.codec.utf8String.toBits(b);c=new sjcl.cipher[f.cipher](a);e.g(d,f);d.key=a;f.ct=sjcl.mode[f.mode].encrypt(c,b,f.iv,f.adata,f.tag);return e.encode(f)},decrypt:function(a,b,c,d){c=c||{};d=d||{};var e=sjcl.json;b=e.g(e.g(e.g({},e.defaults),e.decode(b)),c,true);if(typeof b.salt==="string")b.salt=sjcl.codec.base64.toBits(b.salt); +if(typeof b.iv==="string")b.iv=sjcl.codec.base64.toBits(b.iv);if(!sjcl.mode[b.mode]||!sjcl.cipher[b.cipher]||typeof a==="string"&&b.iter<=100||b.ts!==64&&b.ts!==96&&b.ts!==128||b.ks!==128&&b.ks!==192&&b.ks!==0x100||!b.iv||b.iv.length<2||b.iv.length>4)throw new sjcl.exception.invalid("json decrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,b);a=c.key.slice(0,b.ks/32);b.salt=c.salt}c=new sjcl.cipher[b.cipher](a);c=sjcl.mode[b.mode].decrypt(c,b.ct,b.iv,b.adata,b.tag);e.g(d, +b);d.key=a;return sjcl.codec.utf8String.fromBits(c)},encode:function(a){var b,c="{",d="";for(b in a)if(a.hasOwnProperty(b)){if(!b.match(/^[a-z0-9]+$/i))throw new sjcl.exception.invalid("json encode: invalid property name");c+=d+"'"+b+"':";d=",";switch(typeof a[b]){case "number":case "boolean":c+=a[b];break;case "string":c+='"'+escape(a[b])+'"';break;case "object":c+='"'+sjcl.codec.base64.fromBits(a[b],1)+'"';break;default:throw new sjcl.exception.bug("json encode: unsupported type");}}return c+"}"}, +decode:function(a){a=a.replace(/\s/g,"");if(!a.match(/^\{.*\}$/))throw new sjcl.exception.invalid("json decode: this isn't json!");a=a.replace(/^\{|\}$/g,"").split(/,/);var b={},c,d;for(c=0;c=this.limbs.length?0:this.limbs[a]},greaterEquals:function(a){if(typeof a=="number")a=new this.d(a);var b=0,c=0,d,e,f;for(d=Math.max(this.limbs.length,a.limbs.length)-1;d>=0;d--){e=this.getLimb(d);f=a.getLimb(d);c|=f-e&~b;b|=e-f&~c}return(c|~b)>>>31},toString:function(){this.fullReduce();var a="",b,c,d=this.limbs;for(b=0;b>d}b&&f.push(b);return this},halveM:function(){var a,b=0,c,d=this.radix,e=this.limbs;for(a=e.length-1;a>=0;a--){c=e[a];e[a]=c+b>> +1;b=(c&1)<0;c--){a.halveM();b.greaterEquals(a)&&b.subM(a).normalize()}return b.trim()},inverseMod:function(a){var b=new sjcl.bn(1),c=new sjcl.bn(0),d=new sjcl.bn(this), +e=new sjcl.bn(a),f,g=1;if(!(a.limbs[0]&1))throw new sjcl.exception.invalid("inverseMod: p must be odd");do{if(d.limbs[0]&1){if(!d.greaterEquals(e)){f=d;d=e;e=f;f=b;b=c;c=f}d.subM(e);d.normalize();b.greaterEquals(c)||b.addM(a);b.subM(c)}d.halveM();b.limbs[0]&1&&b.addM(a);b.normalize();b.halveM();for(f=g=0;f=0;b--)out=c.concat(out,[c.partial(this.radix,this.getLimb(b))]);return out},bitLength:function(){this.fullReduce();for(var a=this.radix*(this.limbs.length-1),b=this.limbs[this.limbs.length- +1];b;b>>=1)a++;return a+7&-8}};sjcl.bn.fromBits=function(a){var b=new this,c=[],d=sjcl.bitArray,e=this.prototype,f=Math.min(this.bitLength||0x100000000,d.bitLength(a)),g=f%e.radix||e.radix;for(c[0]=d.extract(a,0,g);gn;){j=l.pop();r=l.length;for(h=0;h=0;c--)for(d=sjcl.bn.prototype.radix-4;d>=0;d-=4)e=e.doubl().doubl().doubl().doubl().add(b[a[c]>>d&15]);return e},isValid:function(){var a=this.z.square(),b=a.square();a=b.mul(a);return this.y.square().equals(this.curve.b.mul(a).add(this.x.mul(this.curve.a.mul(b).add(this.x.square()))))}}; +sjcl.ecc.curve=function(a,b,c,d,e,f){this.field=a;this.r=a.prototype.modulus.sub(b);this.a=new a(c);this.b=new a(d);this.G=new sjcl.ecc.point(this,new a(e),new a(f))};sjcl.ecc.curve.prototype.fromBits=function(a){var b=sjcl.bitArray,c=this.field.prototype.exponent+7&-8;p=new sjcl.ecc.point(this,this.field.fromBits(b.bitSlice(a,0,c)),this.field.fromBits(b.bitSlice(a,c,2*c)));if(!p.isValid())throw new sjcl.exception.corrupt("not on the curve!");return p}; +sjcl.ecc.curves={c192:new sjcl.ecc.curve(sjcl.bn.prime.p192,"0x662107c8eb94364e4b2dd7ce",-3,"0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1","0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012","0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"),c224:new sjcl.ecc.curve(sjcl.bn.prime.p224,"0xe95c1f470fc1ec22d6baa3a3d5c4",-3,"0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4","0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21","0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"), +c256:new sjcl.ecc.curve(sjcl.bn.prime.p256,"0x4319055358e8617b0c46353d039cdaae",-3,"0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b","0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296","0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5"),c384:new sjcl.ecc.curve(sjcl.bn.prime.p384,"0x389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68c",-3,"0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef","0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7", +"0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f")}; +sjcl.ecc.Q=function(a){sjcl.ecc[a]={publicKey:function(b,c){this.e=b;this.Y=c instanceof Array?b.fromBits(c):c},secretKey:function(b,c){this.e=b;this.S=c},generateKeys:function(b,c){if(typeof b=="number"){b=sjcl.ecc.curves["c"+b];if(b===undefined)throw new sjcl.exception.invalid("no such curve");}c=sjcl.bn.random(b.r,c);var d=b.G.mult(c);return{pub:new sjcl.ecc[a].publicKey(b,d),sec:new sjcl.ecc[a].secretKey(b,c)}}}};sjcl.ecc.Q("elGamal"); +sjcl.ecc.elGamal.publicKey.prototype={kem:function(a){a=sjcl.bn.random(this.e.r,a);var b=this.e.G.mult(a).toBits();return{key:sjcl.hash.sha256.hash(this.Y.mult(a).toBits()),tag:b}}};sjcl.ecc.elGamal.secretKey.prototype={unkem:function(a){return sjcl.hash.sha256.hash(this.e.fromBits(a).mult(this.S).toBits())}};sjcl.ecc.Q("dsa"); +sjcl.ecc.dsa.secretKey.prototype={sign:function(a,b){var c=this.e.r,d=c.bitLength();b=this.e.G.mult(kkkk=sjcl.bn.random(c.sub(1),b).add(1)).x.mod(c);a=sjcl.bn.fromBits(a).add(b.mul(this.S)).inverseMod(c).mul(kkkk).mod(c);return sjcl.bitArray.concat(b.toBits(d),a.toBits(d))}}; +sjcl.ecc.dsa.publicKey.prototype={verify:function(a,b){var c=sjcl.bitArray,d=this.e.r,e=d.bitLength(),f=sjcl.bn.fromBits(c.bitSlice(b,0,e));b=sjcl.bn.fromBits(c.bitSlice(b,e,2*e));a=sjcl.bn.fromBits(a).mul(b).mod(d);c=f.mul(b).mod(d);a=this.e.G.toJac().mult(a,this.e.G).add(this.Y.mult(c)).toAffine().x;c=sjcl.exception.corrupt;if(f.equals(0)||b.equals(0)||f.greaterEquals(d)||b.greaterEquals(d)||!a.equals(f))throw new c("signature didn't check out");return true}};