diff --git a/Gruntfile.js b/Gruntfile.js index 11ae9acb7..fcb8c54b0 100644 --- a/Gruntfile.js +++ b/Gruntfile.js @@ -23,13 +23,13 @@ module.exports = function(grunt) { standalone: 'bitcore', } }, - vendor: { + /*vendor: { src: ['browser/vendor_load.js'], dest: 'browser/vendor.js', options: { } - } + }*/ }, watch: { readme: { diff --git a/Key.js b/Key.js index 64c2e6cd2..603ffd874 100644 --- a/Key.js +++ b/Key.js @@ -1,3 +1,32 @@ -module.exports = require('bindings')('KeyModule'); + + +if (process.versions) { + // c++ native version + module.exports = require('bindings')('KeyModule'); +} else { + // pure js version + var ECKey = require('./browser/bitcoinjs-lib.js').ECKey; + var kSpec = function() { + + }; + + kSpec.generateSync = function() { + var eck = new ECKey(); + eck.setCompressed(true); + var pub = eck.getPub(); + console.dir(eck); + console.log(pub); + + return { + compressed: true, + public: new Buffer(33), + private: new Buffer(32) + }; + }; + module.exports = { + Key: kSpec + }; +} + diff --git a/bitcore.js b/bitcore.js index 215aa5985..b284ef369 100644 --- a/bitcore.js +++ b/bitcore.js @@ -31,7 +31,9 @@ module.exports.PrivateKey = require('./PrivateKey'); module.exports.RpcClient = require('./RpcClient'); module.exports.Wallet = require('./Wallet'); module.exports.WalletKey = require('./WalletKey'); +module.exports.Buffer = Buffer; +//module.exports.is = require('./browser/KeyEcdsaAdapter.js').is; if (typeof process.versions === 'undefined') { module.exports.bignum.config({EXPONENTIAL_AT: 9999999, DECIMAL_PLACES: 0, ROUNDING_MODE: 1}); diff --git a/browser/bitcoin.js b/browser/bitcoin.js new file mode 100644 index 000000000..49e3ae46b --- /dev/null +++ b/browser/bitcoin.js @@ -0,0 +1,2 @@ +Bitcoin = {}; + diff --git a/browser/bitcoinjs-lib.js b/browser/bitcoinjs-lib.js new file mode 100644 index 000000000..3f7eb6ead --- /dev/null +++ b/browser/bitcoinjs-lib.js @@ -0,0 +1,2822 @@ +if ("undefined" == typeof window) window = this; +/*! + * Crypto-JS v2.0.0 + * http://code.google.com/p/crypto-js/ + * Copyright (c) 2009, Jeff Mott. All rights reserved. + * http://code.google.com/p/crypto-js/wiki/License + */ + +var base64map = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; + +// Global Crypto object +var Crypto = window.Crypto = {}; + +// Crypto utilities +var util = Crypto.util = { + + // Bit-wise rotate left + rotl: function (n, b) { + return (n << b) | (n >>> (32 - b)); + }, + + // Bit-wise rotate right + rotr: function (n, b) { + return (n << (32 - b)) | (n >>> b); + }, + + // Swap big-endian to little-endian and vice versa + endian: function (n) { + + // If number given, swap endian + if (n.constructor == Number) { + return util.rotl(n, 8) & 0x00FF00FF | + util.rotl(n, 24) & 0xFF00FF00; + } + + // Else, assume array and swap all items + for (var i = 0; i < n.length; i++) + n[i] = util.endian(n[i]); + return n; + + }, + + // Generate an array of any length of random bytes + randomBytes: function (n) { + for (var bytes = []; n > 0; n--) + bytes.push(Math.floor(Math.random() * 256)); + return bytes; + }, + + // Convert a byte array to big-endian 32-bit words + bytesToWords: function (bytes) { + for (var words = [], i = 0, b = 0; i < bytes.length; i++, b += 8) + words[b >>> 5] |= bytes[i] << (24 - b % 32); + return words; + }, + + // Convert big-endian 32-bit words to a byte array + wordsToBytes: function (words) { + for (var bytes = [], b = 0; b < words.length * 32; b += 8) + bytes.push((words[b >>> 5] >>> (24 - b % 32)) & 0xFF); + return bytes; + }, + + // Convert a byte array to a hex string + bytesToHex: function (bytes) { + for (var hex = [], i = 0; i < bytes.length; i++) { + hex.push((bytes[i] >>> 4).toString(16)); + hex.push((bytes[i] & 0xF).toString(16)); + } + return hex.join(""); + }, + + // Convert a hex string to a byte array + hexToBytes: function (hex) { + for (var bytes = [], c = 0; c < hex.length; c += 2) + bytes.push(parseInt(hex.substr(c, 2), 16)); + return bytes; + }, + + // Convert a byte array to a base-64 string + bytesToBase64: function (bytes) { + + // Use browser-native function if it exists + if (typeof btoa == "function") return btoa(Binary.bytesToString(bytes)); + + for(var base64 = [], i = 0; i < bytes.length; i += 3) { + var triplet = (bytes[i] << 16) | (bytes[i + 1] << 8) | bytes[i + 2]; + for (var j = 0; j < 4; j++) { + if (i * 8 + j * 6 <= bytes.length * 8) + base64.push(base64map.charAt((triplet >>> 6 * (3 - j)) & 0x3F)); + else base64.push("="); + } + } + + return base64.join(""); + + }, + + // Convert a base-64 string to a byte array + base64ToBytes: function (base64) { + + // Use browser-native function if it exists + if (typeof atob == "function") return Binary.stringToBytes(atob(base64)); + + // Remove non-base-64 characters + base64 = base64.replace(/[^A-Z0-9+\/]/ig, ""); + + for (var bytes = [], i = 0, imod4 = 0; i < base64.length; imod4 = ++i % 4) { + if (imod4 == 0) continue; + bytes.push(((base64map.indexOf(base64.charAt(i - 1)) & (Math.pow(2, -2 * imod4 + 8) - 1)) << (imod4 * 2)) | + (base64map.indexOf(base64.charAt(i)) >>> (6 - imod4 * 2))); + } + + return bytes; + + } + +}; + +// Crypto mode namespace +Crypto.mode = {}; + +// Crypto character encodings +var charenc = Crypto.charenc = {}; + +// UTF-8 encoding +var UTF8 = charenc.UTF8 = { + + // Convert a string to a byte array + stringToBytes: function (str) { + return Binary.stringToBytes(unescape(encodeURIComponent(str))); + }, + + // Convert a byte array to a string + bytesToString: function (bytes) { + return decodeURIComponent(escape(Binary.bytesToString(bytes))); + } + +}; + +// Binary encoding +var Binary = charenc.Binary = { + + // Convert a string to a byte array + stringToBytes: function (str) { + for (var bytes = [], i = 0; i < str.length; i++) + bytes.push(str.charCodeAt(i)); + return bytes; + }, + + // Convert a byte array to a string + bytesToString: function (bytes) { + for (var str = [], i = 0; i < bytes.length; i++) + str.push(String.fromCharCode(bytes[i])); + return str.join(""); + } + +}; + +Bitcoin = {}; + + + +if (typeof navigator === 'undefined') { + var navigator = {}; + navigator.appName = 'NodeJS'; + +} +// Copyright (c) 2005 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Basic JavaScript BN library - subset useful for RSA encryption. + +// Bits per digit +var dbits; + +// JavaScript engine analysis +var canary = 0xdeadbeefcafe; +var j_lm = ((canary&0xffffff)==0xefcafe); + +// (public) Constructor +function BigInteger(a,b,c) { + if(a != null) + if("number" == typeof a) this.fromNumber(a,b,c); + else if(b == null && "string" != typeof a) this.fromString(a,256); + else this.fromString(a,b); +} + +// return new, unset BigInteger +function nbi() { return new BigInteger(null); } + +// am: Compute w_j += (x*this_i), propagate carries, +// c is initial carry, returns final carry. +// c < 3*dvalue, x < 2*dvalue, this_i < dvalue +// We need to select the fastest one that works in this environment. + +// am1: use a single mult and divide to get the high bits, +// max digit bits should be 26 because +// max internal value = 2*dvalue^2-2*dvalue (< 2^53) +function am1(i,x,w,j,c,n) { + while(--n >= 0) { + var v = x*this[i++]+w[j]+c; + c = Math.floor(v/0x4000000); + w[j++] = v&0x3ffffff; + } + return c; +} +// am2 avoids a big mult-and-extract completely. +// Max digit bits should be <= 30 because we do bitwise ops +// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31) +function am2(i,x,w,j,c,n) { + var xl = x&0x7fff, xh = x>>15; + while(--n >= 0) { + var l = this[i]&0x7fff; + var h = this[i++]>>15; + var m = xh*l+h*xl; + l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff); + c = (l>>>30)+(m>>>15)+xh*h+(c>>>30); + w[j++] = l&0x3fffffff; + } + return c; +} +// Alternately, set max digit bits to 28 since some +// browsers slow down when dealing with 32-bit numbers. +function am3(i,x,w,j,c,n) { + var xl = x&0x3fff, xh = x>>14; + while(--n >= 0) { + var l = this[i]&0x3fff; + var h = this[i++]>>14; + var m = xh*l+h*xl; + l = xl*l+((m&0x3fff)<<14)+w[j]+c; + c = (l>>28)+(m>>14)+xh*h; + w[j++] = l&0xfffffff; + } + return c; +} +if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) { + BigInteger.prototype.am = am2; + dbits = 30; +} +else if(j_lm && (navigator.appName != "Netscape")) { + BigInteger.prototype.am = am1; + dbits = 26; +} +else { // Mozilla/Netscape seems to prefer am3 + BigInteger.prototype.am = am3; + dbits = 28; +} + +BigInteger.prototype.DB = dbits; +BigInteger.prototype.DM = ((1<= 0; --i) r[i] = this[i]; + r.t = this.t; + r.s = this.s; +} + +// (protected) set from integer value x, -DV <= x < DV +function bnpFromInt(x) { + this.t = 1; + this.s = (x<0)?-1:0; + if(x > 0) this[0] = x; + else if(x < -1) this[0] = x+DV; + else this.t = 0; +} + +// return bigint initialized to value +function nbv(i) { var r = nbi(); r.fromInt(i); return r; } + +// (protected) set from string and radix +function bnpFromString(s,b) { + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 256) k = 8; // byte array + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else { this.fromRadix(s,b); return; } + this.t = 0; + this.s = 0; + var i = s.length, mi = false, sh = 0; + while(--i >= 0) { + var x = (k==8)?s[i]&0xff:intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-") mi = true; + continue; + } + mi = false; + if(sh == 0) + this[this.t++] = x; + else if(sh+k > this.DB) { + this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<>(this.DB-sh)); + } + else + this[this.t-1] |= x<= this.DB) sh -= this.DB; + } + if(k == 8 && (s[0]&0x80) != 0) { + this.s = -1; + if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)< 0 && this[this.t-1] == c) --this.t; +} + +// (public) return string representation in given radix +function bnToString(b) { + if(this.s < 0) return "-"+this.negate().toString(b); + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else return this.toRadix(b); + var km = (1< 0) { + if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); } + while(i >= 0) { + if(p < k) { + d = (this[i]&((1<>(p+=this.DB-k); + } + else { + d = (this[i]>>(p-=k))&km; + if(p <= 0) { p += this.DB; --i; } + } + if(d > 0) m = true; + if(m) r += int2char(d); + } + } + return m?r:"0"; +} + +// (public) -this +function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; } + +// (public) |this| +function bnAbs() { return (this.s<0)?this.negate():this; } + +// (public) return + if this > a, - if this < a, 0 if equal +function bnCompareTo(a) { + var r = this.s-a.s; + if(r != 0) return r; + var i = this.t; + r = i-a.t; + if(r != 0) return (this.s<0)?-r:r; + while(--i >= 0) if((r=this[i]-a[i]) != 0) return r; + return 0; +} + +// returns bit length of the integer x +function nbits(x) { + var r = 1, t; + if((t=x>>>16) != 0) { x = t; r += 16; } + if((t=x>>8) != 0) { x = t; r += 8; } + if((t=x>>4) != 0) { x = t; r += 4; } + if((t=x>>2) != 0) { x = t; r += 2; } + if((t=x>>1) != 0) { x = t; r += 1; } + return r; +} + +// (public) return the number of bits in "this" +function bnBitLength() { + if(this.t <= 0) return 0; + return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM)); +} + +// (protected) r = this << n*DB +function bnpDLShiftTo(n,r) { + var i; + for(i = this.t-1; i >= 0; --i) r[i+n] = this[i]; + for(i = n-1; i >= 0; --i) r[i] = 0; + r.t = this.t+n; + r.s = this.s; +} + +// (protected) r = this >> n*DB +function bnpDRShiftTo(n,r) { + for(var i = n; i < this.t; ++i) r[i-n] = this[i]; + r.t = Math.max(this.t-n,0); + r.s = this.s; +} + +// (protected) r = this << n +function bnpLShiftTo(n,r) { + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<= 0; --i) { + r[i+ds+1] = (this[i]>>cbs)|c; + c = (this[i]&bm)<= 0; --i) r[i] = 0; + r[ds] = c; + r.t = this.t+ds+1; + r.s = this.s; + r.clamp(); +} + +// (protected) r = this >> n +function bnpRShiftTo(n,r) { + r.s = this.s; + var ds = Math.floor(n/this.DB); + if(ds >= this.t) { r.t = 0; return; } + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<>bs; + for(var i = ds+1; i < this.t; ++i) { + r[i-ds-1] |= (this[i]&bm)<>bs; + } + if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<>= this.DB; + } + if(a.t < this.t) { + c -= a.s; + while(i < this.t) { + c += this[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c -= a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c -= a.s; + } + r.s = (c<0)?-1:0; + if(c < -1) r[i++] = this.DV+c; + else if(c > 0) r[i++] = c; + r.t = i; + r.clamp(); +} + +// (protected) r = this * a, r != this,a (HAC 14.12) +// "this" should be the larger one if appropriate. +function bnpMultiplyTo(a,r) { + var x = this.abs(), y = a.abs(); + var i = x.t; + r.t = i+y.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t); + r.s = 0; + r.clamp(); + if(this.s != a.s) BigInteger.ZERO.subTo(r,r); +} + +// (protected) r = this^2, r != this (HAC 14.16) +function bnpSquareTo(r) { + var x = this.abs(); + var i = r.t = 2*x.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < x.t-1; ++i) { + var c = x.am(i,x[i],r,2*i,0,1); + if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) { + r[i+x.t] -= x.DV; + r[i+x.t+1] = 1; + } + } + if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1); + r.s = 0; + r.clamp(); +} + +// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20) +// r != q, this != m. q or r may be null. +function bnpDivRemTo(m,q,r) { + var pm = m.abs(); + if(pm.t <= 0) return; + var pt = this.abs(); + if(pt.t < pm.t) { + if(q != null) q.fromInt(0); + if(r != null) this.copyTo(r); + return; + } + if(r == null) r = nbi(); + var y = nbi(), ts = this.s, ms = m.s; + var nsh = this.DB-nbits(pm[pm.t-1]); // normalize modulus + if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); } + else { pm.copyTo(y); pt.copyTo(r); } + var ys = y.t; + var y0 = y[ys-1]; + if(y0 == 0) return; + var yt = y0*(1<1)?y[ys-2]>>this.F2:0); + var d1 = this.FV/yt, d2 = (1<= 0) { + r[r.t++] = 1; + r.subTo(t,r); + } + BigInteger.ONE.dlShiftTo(ys,t); + t.subTo(y,y); // "negative" y so we can replace sub with am later + while(y.t < ys) y[y.t++] = 0; + while(--j >= 0) { + // Estimate quotient digit + var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2); + if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out + y.dlShiftTo(j,t); + r.subTo(t,r); + while(r[i] < --qd) r.subTo(t,r); + } + } + if(q != null) { + r.drShiftTo(ys,q); + if(ts != ms) BigInteger.ZERO.subTo(q,q); + } + r.t = ys; + r.clamp(); + if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder + if(ts < 0) BigInteger.ZERO.subTo(r,r); +} + +// (public) this mod a +function bnMod(a) { + var r = nbi(); + this.abs().divRemTo(a,null,r); + if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r); + return r; +} + +// Modular reduction using "classic" algorithm +function Classic(m) { this.m = m; } +function cConvert(x) { + if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m); + else return x; +} +function cRevert(x) { return x; } +function cReduce(x) { x.divRemTo(this.m,null,x); } +function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } +function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +Classic.prototype.convert = cConvert; +Classic.prototype.revert = cRevert; +Classic.prototype.reduce = cReduce; +Classic.prototype.mulTo = cMulTo; +Classic.prototype.sqrTo = cSqrTo; + +// (protected) return "-1/this % 2^DB"; useful for Mont. reduction +// justification: +// xy == 1 (mod m) +// xy = 1+km +// xy(2-xy) = (1+km)(1-km) +// x[y(2-xy)] = 1-k^2m^2 +// x[y(2-xy)] == 1 (mod m^2) +// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2 +// should reduce x and y(2-xy) by m^2 at each step to keep size bounded. +// JS multiply "overflows" differently from C/C++, so care is needed here. +function bnpInvDigit() { + if(this.t < 1) return 0; + var x = this[0]; + if((x&1) == 0) return 0; + var y = x&3; // y == 1/x mod 2^2 + y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4 + y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8 + y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16 + // last step - calculate inverse mod DV directly; + // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints + y = (y*(2-x*y%this.DV))%this.DV; // y == 1/x mod 2^dbits + // we really want the negative inverse, and -DV < y < DV + return (y>0)?this.DV-y:-y; +} + +// Montgomery reduction +function Montgomery(m) { + this.m = m; + this.mp = m.invDigit(); + this.mpl = this.mp&0x7fff; + this.mph = this.mp>>15; + this.um = (1<<(m.DB-15))-1; + this.mt2 = 2*m.t; +} + +// xR mod m +function montConvert(x) { + var r = nbi(); + x.abs().dlShiftTo(this.m.t,r); + r.divRemTo(this.m,null,r); + if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r); + return r; +} + +// x/R mod m +function montRevert(x) { + var r = nbi(); + x.copyTo(r); + this.reduce(r); + return r; +} + +// x = x/R mod m (HAC 14.32) +function montReduce(x) { + while(x.t <= this.mt2) // pad x so am has enough room later + x[x.t++] = 0; + for(var i = 0; i < this.m.t; ++i) { + // faster way of calculating u0 = x[i]*mp mod DV + var j = x[i]&0x7fff; + var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM; + // use am to combine the multiply-shift-add into one call + j = i+this.m.t; + x[j] += this.m.am(0,u0,x,i,0,this.m.t); + // propagate carry + while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; } + } + x.clamp(); + x.drShiftTo(this.m.t,x); + if(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = "x^2/R mod m"; x != r +function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = "xy/R mod m"; x,y != r +function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Montgomery.prototype.convert = montConvert; +Montgomery.prototype.revert = montRevert; +Montgomery.prototype.reduce = montReduce; +Montgomery.prototype.mulTo = montMulTo; +Montgomery.prototype.sqrTo = montSqrTo; + +// (protected) true iff this is even +function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; } + +// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79) +function bnpExp(e,z) { + if(e > 0xffffffff || e < 1) return BigInteger.ONE; + var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1; + g.copyTo(r); + while(--i >= 0) { + z.sqrTo(r,r2); + if((e&(1< 0) z.mulTo(r2,g,r); + else { var t = r; r = r2; r2 = t; } + } + return z.revert(r); +} + +// (public) this^e % m, 0 <= e < 2^32 +function bnModPowInt(e,m) { + var z; + if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m); + return this.exp(e,z); +} + +// protected +BigInteger.prototype.copyTo = bnpCopyTo; +BigInteger.prototype.fromInt = bnpFromInt; +BigInteger.prototype.fromString = bnpFromString; +BigInteger.prototype.clamp = bnpClamp; +BigInteger.prototype.dlShiftTo = bnpDLShiftTo; +BigInteger.prototype.drShiftTo = bnpDRShiftTo; +BigInteger.prototype.lShiftTo = bnpLShiftTo; +BigInteger.prototype.rShiftTo = bnpRShiftTo; +BigInteger.prototype.subTo = bnpSubTo; +BigInteger.prototype.multiplyTo = bnpMultiplyTo; +BigInteger.prototype.squareTo = bnpSquareTo; +BigInteger.prototype.divRemTo = bnpDivRemTo; +BigInteger.prototype.invDigit = bnpInvDigit; +BigInteger.prototype.isEven = bnpIsEven; +BigInteger.prototype.exp = bnpExp; + +// public +BigInteger.prototype.toString = bnToString; +BigInteger.prototype.negate = bnNegate; +BigInteger.prototype.abs = bnAbs; +BigInteger.prototype.compareTo = bnCompareTo; +BigInteger.prototype.bitLength = bnBitLength; +BigInteger.prototype.mod = bnMod; +BigInteger.prototype.modPowInt = bnModPowInt; + +// "constants" +BigInteger.ZERO = nbv(0); +BigInteger.ONE = nbv(1); +// Copyright (c) 2005-2009 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Extended JavaScript BN functions, required for RSA private ops. + +// Version 1.1: new BigInteger("0", 10) returns "proper" zero +// Version 1.2: square() API, isProbablePrime fix + +// (public) +function bnClone() { var r = nbi(); this.copyTo(r); return r; } + +// (public) return value as integer +function bnIntValue() { + if(this.s < 0) { + if(this.t == 1) return this[0]-this.DV; + else if(this.t == 0) return -1; + } + else if(this.t == 1) return this[0]; + else if(this.t == 0) return 0; + // assumes 16 < DB < 32 + return ((this[1]&((1<<(32-this.DB))-1))<>24; } + +// (public) return value as short (assumes DB>=16) +function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; } + +// (protected) return x s.t. r^x < DV +function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); } + +// (public) 0 if this == 0, 1 if this > 0 +function bnSigNum() { + if(this.s < 0) return -1; + else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0; + else return 1; +} + +// (protected) convert to radix string +function bnpToRadix(b) { + if(b == null) b = 10; + if(this.signum() == 0 || b < 2 || b > 36) return "0"; + var cs = this.chunkSize(b); + var a = Math.pow(b,cs); + var d = nbv(a), y = nbi(), z = nbi(), r = ""; + this.divRemTo(d,y,z); + while(y.signum() > 0) { + r = (a+z.intValue()).toString(b).substr(1) + r; + y.divRemTo(d,y,z); + } + return z.intValue().toString(b) + r; +} + +// (protected) convert from radix string +function bnpFromRadix(s,b) { + this.fromInt(0); + if(b == null) b = 10; + var cs = this.chunkSize(b); + var d = Math.pow(b,cs), mi = false, j = 0, w = 0; + for(var i = 0; i < s.length; ++i) { + var x = intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-" && this.signum() == 0) mi = true; + continue; + } + w = b*w+x; + if(++j >= cs) { + this.dMultiply(d); + this.dAddOffset(w,0); + j = 0; + w = 0; + } + } + if(j > 0) { + this.dMultiply(Math.pow(b,j)); + this.dAddOffset(w,0); + } + if(mi) BigInteger.ZERO.subTo(this,this); +} + +// (protected) alternate constructor +function bnpFromNumber(a,b,c) { + if("number" == typeof b) { + // new BigInteger(int,int,RNG) + if(a < 2) this.fromInt(1); + else { + this.fromNumber(a,c); + if(!this.testBit(a-1)) // force MSB set + this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this); + if(this.isEven()) this.dAddOffset(1,0); // force odd + while(!this.isProbablePrime(b)) { + this.dAddOffset(2,0); + if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this); + } + } + } + else { + // new BigInteger(int,RNG) + var x = new Array(), t = a&7; + x.length = (a>>3)+1; + b.nextBytes(x); + if(t > 0) x[0] &= ((1< 0) { + if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p) + r[k++] = d|(this.s<<(this.DB-p)); + while(i >= 0) { + if(p < 8) { + d = (this[i]&((1<>(p+=this.DB-8); + } + else { + d = (this[i]>>(p-=8))&0xff; + if(p <= 0) { p += this.DB; --i; } + } + if((d&0x80) != 0) d |= -256; + if(k == 0 && (this.s&0x80) != (d&0x80)) ++k; + if(k > 0 || d != this.s) r[k++] = d; + } + } + return r; +} + +function bnEquals(a) { return(this.compareTo(a)==0); } +function bnMin(a) { return(this.compareTo(a)<0)?this:a; } +function bnMax(a) { return(this.compareTo(a)>0)?this:a; } + +// (protected) r = this op a (bitwise) +function bnpBitwiseTo(a,op,r) { + var i, f, m = Math.min(a.t,this.t); + for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]); + if(a.t < this.t) { + f = a.s&this.DM; + for(i = m; i < this.t; ++i) r[i] = op(this[i],f); + r.t = this.t; + } + else { + f = this.s&this.DM; + for(i = m; i < a.t; ++i) r[i] = op(f,a[i]); + r.t = a.t; + } + r.s = op(this.s,a.s); + r.clamp(); +} + +// (public) this & a +function op_and(x,y) { return x&y; } +function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; } + +// (public) this | a +function op_or(x,y) { return x|y; } +function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; } + +// (public) this ^ a +function op_xor(x,y) { return x^y; } +function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; } + +// (public) this & ~a +function op_andnot(x,y) { return x&~y; } +function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; } + +// (public) ~this +function bnNot() { + var r = nbi(); + for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i]; + r.t = this.t; + r.s = ~this.s; + return r; +} + +// (public) this << n +function bnShiftLeft(n) { + var r = nbi(); + if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r); + return r; +} + +// (public) this >> n +function bnShiftRight(n) { + var r = nbi(); + if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r); + return r; +} + +// return index of lowest 1-bit in x, x < 2^31 +function lbit(x) { + if(x == 0) return -1; + var r = 0; + if((x&0xffff) == 0) { x >>= 16; r += 16; } + if((x&0xff) == 0) { x >>= 8; r += 8; } + if((x&0xf) == 0) { x >>= 4; r += 4; } + if((x&3) == 0) { x >>= 2; r += 2; } + if((x&1) == 0) ++r; + return r; +} + +// (public) returns index of lowest 1-bit (or -1 if none) +function bnGetLowestSetBit() { + for(var i = 0; i < this.t; ++i) + if(this[i] != 0) return i*this.DB+lbit(this[i]); + if(this.s < 0) return this.t*this.DB; + return -1; +} + +// return number of 1 bits in x +function cbit(x) { + var r = 0; + while(x != 0) { x &= x-1; ++r; } + return r; +} + +// (public) return number of set bits +function bnBitCount() { + var r = 0, x = this.s&this.DM; + for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x); + return r; +} + +// (public) true iff nth bit is set +function bnTestBit(n) { + var j = Math.floor(n/this.DB); + if(j >= this.t) return(this.s!=0); + return((this[j]&(1<<(n%this.DB)))!=0); +} + +// (protected) this op (1<>= this.DB; + } + if(a.t < this.t) { + c += a.s; + while(i < this.t) { + c += this[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c += a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += a.s; + } + r.s = (c<0)?-1:0; + if(c > 0) r[i++] = c; + else if(c < -1) r[i++] = this.DV+c; + r.t = i; + r.clamp(); +} + +// (public) this + a +function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; } + +// (public) this - a +function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; } + +// (public) this * a +function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; } + +// (public) this^2 +function bnSquare() { var r = nbi(); this.squareTo(r); return r; } + +// (public) this / a +function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; } + +// (public) this % a +function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; } + +// (public) [this/a,this%a] +function bnDivideAndRemainder(a) { + var q = nbi(), r = nbi(); + this.divRemTo(a,q,r); + return new Array(q,r); +} + +// (protected) this *= n, this >= 0, 1 < n < DV +function bnpDMultiply(n) { + this[this.t] = this.am(0,n-1,this,0,0,this.t); + ++this.t; + this.clamp(); +} + +// (protected) this += n << w words, this >= 0 +function bnpDAddOffset(n,w) { + if(n == 0) return; + while(this.t <= w) this[this.t++] = 0; + this[w] += n; + while(this[w] >= this.DV) { + this[w] -= this.DV; + if(++w >= this.t) this[this.t++] = 0; + ++this[w]; + } +} + +// A "null" reducer +function NullExp() {} +function nNop(x) { return x; } +function nMulTo(x,y,r) { x.multiplyTo(y,r); } +function nSqrTo(x,r) { x.squareTo(r); } + +NullExp.prototype.convert = nNop; +NullExp.prototype.revert = nNop; +NullExp.prototype.mulTo = nMulTo; +NullExp.prototype.sqrTo = nSqrTo; + +// (public) this^e +function bnPow(e) { return this.exp(e,new NullExp()); } + +// (protected) r = lower n words of "this * a", a.t <= n +// "this" should be the larger one if appropriate. +function bnpMultiplyLowerTo(a,n,r) { + var i = Math.min(this.t+a.t,n); + r.s = 0; // assumes a,this >= 0 + r.t = i; + while(i > 0) r[--i] = 0; + var j; + for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t); + for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i); + r.clamp(); +} + +// (protected) r = "this * a" without lower n words, n > 0 +// "this" should be the larger one if appropriate. +function bnpMultiplyUpperTo(a,n,r) { + --n; + var i = r.t = this.t+a.t-n; + r.s = 0; // assumes a,this >= 0 + while(--i >= 0) r[i] = 0; + for(i = Math.max(n-this.t,0); i < a.t; ++i) + r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n); + r.clamp(); + r.drShiftTo(1,r); +} + +// Barrett modular reduction +function Barrett(m) { + // setup Barrett + this.r2 = nbi(); + this.q3 = nbi(); + BigInteger.ONE.dlShiftTo(2*m.t,this.r2); + this.mu = this.r2.divide(m); + this.m = m; +} + +function barrettConvert(x) { + if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m); + else if(x.compareTo(this.m) < 0) return x; + else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; } +} + +function barrettRevert(x) { return x; } + +// x = x mod m (HAC 14.42) +function barrettReduce(x) { + x.drShiftTo(this.m.t-1,this.r2); + if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); } + this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3); + this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2); + while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1); + x.subTo(this.r2,x); + while(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = x^2 mod m; x != r +function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = x*y mod m; x,y != r +function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Barrett.prototype.convert = barrettConvert; +Barrett.prototype.revert = barrettRevert; +Barrett.prototype.reduce = barrettReduce; +Barrett.prototype.mulTo = barrettMulTo; +Barrett.prototype.sqrTo = barrettSqrTo; + +// (public) this^e % m (HAC 14.85) +function bnModPow(e,m) { + var i = e.bitLength(), k, r = nbv(1), z; + if(i <= 0) return r; + else if(i < 18) k = 1; + else if(i < 48) k = 3; + else if(i < 144) k = 4; + else if(i < 768) k = 5; + else k = 6; + if(i < 8) + z = new Classic(m); + else if(m.isEven()) + z = new Barrett(m); + else + z = new Montgomery(m); + + // precomputation + var g = new Array(), n = 3, k1 = k-1, km = (1< 1) { + var g2 = nbi(); + z.sqrTo(g[1],g2); + while(n <= km) { + g[n] = nbi(); + z.mulTo(g2,g[n-2],g[n]); + n += 2; + } + } + + var j = e.t-1, w, is1 = true, r2 = nbi(), t; + i = nbits(e[j])-1; + while(j >= 0) { + if(i >= k1) w = (e[j]>>(i-k1))&km; + else { + w = (e[j]&((1<<(i+1))-1))<<(k1-i); + if(j > 0) w |= e[j-1]>>(this.DB+i-k1); + } + + n = k; + while((w&1) == 0) { w >>= 1; --n; } + if((i -= n) < 0) { i += this.DB; --j; } + if(is1) { // ret == 1, don't bother squaring or multiplying it + g[w].copyTo(r); + is1 = false; + } + else { + while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; } + if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; } + z.mulTo(r2,g[w],r); + } + + while(j >= 0 && (e[j]&(1< 0) { + x.rShiftTo(g,x); + y.rShiftTo(g,y); + } + while(x.signum() > 0) { + if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x); + if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y); + if(x.compareTo(y) >= 0) { + x.subTo(y,x); + x.rShiftTo(1,x); + } + else { + y.subTo(x,y); + y.rShiftTo(1,y); + } + } + if(g > 0) y.lShiftTo(g,y); + return y; +} + +// (protected) this % n, n < 2^26 +function bnpModInt(n) { + if(n <= 0) return 0; + var d = this.DV%n, r = (this.s<0)?n-1:0; + if(this.t > 0) + if(d == 0) r = this[0]%n; + else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n; + return r; +} + +// (public) 1/this % m (HAC 14.61) +function bnModInverse(m) { + var ac = m.isEven(); + if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO; + var u = m.clone(), v = this.clone(); + var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1); + while(u.signum() != 0) { + while(u.isEven()) { + u.rShiftTo(1,u); + if(ac) { + if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); } + a.rShiftTo(1,a); + } + else if(!b.isEven()) b.subTo(m,b); + b.rShiftTo(1,b); + } + while(v.isEven()) { + v.rShiftTo(1,v); + if(ac) { + if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); } + c.rShiftTo(1,c); + } + else if(!d.isEven()) d.subTo(m,d); + d.rShiftTo(1,d); + } + if(u.compareTo(v) >= 0) { + u.subTo(v,u); + if(ac) a.subTo(c,a); + b.subTo(d,b); + } + else { + v.subTo(u,v); + if(ac) c.subTo(a,c); + d.subTo(b,d); + } + } + if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO; + if(d.compareTo(m) >= 0) return d.subtract(m); + if(d.signum() < 0) d.addTo(m,d); else return d; + if(d.signum() < 0) return d.add(m); else return d; +} + +var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997]; +var lplim = (1<<26)/lowprimes[lowprimes.length-1]; + +// (public) test primality with certainty >= 1-.5^t +function bnIsProbablePrime(t) { + var i, x = this.abs(); + if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) { + for(i = 0; i < lowprimes.length; ++i) + if(x[0] == lowprimes[i]) return true; + return false; + } + if(x.isEven()) return false; + i = 1; + while(i < lowprimes.length) { + var m = lowprimes[i], j = i+1; + while(j < lowprimes.length && m < lplim) m *= lowprimes[j++]; + m = x.modInt(m); + while(i < j) if(m%lowprimes[i++] == 0) return false; + } + return x.millerRabin(t); +} + +// (protected) true if probably prime (HAC 4.24, Miller-Rabin) +function bnpMillerRabin(t) { + var n1 = this.subtract(BigInteger.ONE); + var k = n1.getLowestSetBit(); + if(k <= 0) return false; + var r = n1.shiftRight(k); + t = (t+1)>>1; + if(t > lowprimes.length) t = lowprimes.length; + var a = nbi(); + for(var i = 0; i < t; ++i) { + //Pick bases at random, instead of starting at 2 + a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]); + var y = a.modPow(r,this); + if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) { + var j = 1; + while(j++ < k && y.compareTo(n1) != 0) { + y = y.modPowInt(2,this); + if(y.compareTo(BigInteger.ONE) == 0) return false; + } + if(y.compareTo(n1) != 0) return false; + } + } + return true; +} + +// protected +BigInteger.prototype.chunkSize = bnpChunkSize; +BigInteger.prototype.toRadix = bnpToRadix; +BigInteger.prototype.fromRadix = bnpFromRadix; +BigInteger.prototype.fromNumber = bnpFromNumber; +BigInteger.prototype.bitwiseTo = bnpBitwiseTo; +BigInteger.prototype.changeBit = bnpChangeBit; +BigInteger.prototype.addTo = bnpAddTo; +BigInteger.prototype.dMultiply = bnpDMultiply; +BigInteger.prototype.dAddOffset = bnpDAddOffset; +BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo; +BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo; +BigInteger.prototype.modInt = bnpModInt; +BigInteger.prototype.millerRabin = bnpMillerRabin; + +// public +BigInteger.prototype.clone = bnClone; +BigInteger.prototype.intValue = bnIntValue; +BigInteger.prototype.byteValue = bnByteValue; +BigInteger.prototype.shortValue = bnShortValue; +BigInteger.prototype.signum = bnSigNum; +BigInteger.prototype.toByteArray = bnToByteArray; +BigInteger.prototype.equals = bnEquals; +BigInteger.prototype.min = bnMin; +BigInteger.prototype.max = bnMax; +BigInteger.prototype.and = bnAnd; +BigInteger.prototype.or = bnOr; +BigInteger.prototype.xor = bnXor; +BigInteger.prototype.andNot = bnAndNot; +BigInteger.prototype.not = bnNot; +BigInteger.prototype.shiftLeft = bnShiftLeft; +BigInteger.prototype.shiftRight = bnShiftRight; +BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit; +BigInteger.prototype.bitCount = bnBitCount; +BigInteger.prototype.testBit = bnTestBit; +BigInteger.prototype.setBit = bnSetBit; +BigInteger.prototype.clearBit = bnClearBit; +BigInteger.prototype.flipBit = bnFlipBit; +BigInteger.prototype.add = bnAdd; +BigInteger.prototype.subtract = bnSubtract; +BigInteger.prototype.multiply = bnMultiply; +BigInteger.prototype.divide = bnDivide; +BigInteger.prototype.remainder = bnRemainder; +BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder; +BigInteger.prototype.modPow = bnModPow; +BigInteger.prototype.modInverse = bnModInverse; +BigInteger.prototype.pow = bnPow; +BigInteger.prototype.gcd = bnGCD; +BigInteger.prototype.isProbablePrime = bnIsProbablePrime; + +// JSBN-specific extension +BigInteger.prototype.square = bnSquare; + +// BigInteger interfaces not implemented in jsbn: + +// BigInteger(int signum, byte[] magnitude) +// double doubleValue() +// float floatValue() +// int hashCode() +// long longValue() +// static BigInteger valueOf(long val) +// prng4.js - uses Arcfour as a PRNG + +function Arcfour() { + this.i = 0; + this.j = 0; + this.S = new Array(); +} + +// Initialize arcfour context from key, an array of ints, each from [0..255] +function ARC4init(key) { + var i, j, t; + for(i = 0; i < 256; ++i) + this.S[i] = i; + j = 0; + for(i = 0; i < 256; ++i) { + j = (j + this.S[i] + key[i % key.length]) & 255; + t = this.S[i]; + this.S[i] = this.S[j]; + this.S[j] = t; + } + this.i = 0; + this.j = 0; +} + +function ARC4next() { + var t; + this.i = (this.i + 1) & 255; + this.j = (this.j + this.S[this.i]) & 255; + t = this.S[this.i]; + this.S[this.i] = this.S[this.j]; + this.S[this.j] = t; + return this.S[(t + this.S[this.i]) & 255]; +} + +Arcfour.prototype.init = ARC4init; +Arcfour.prototype.next = ARC4next; + +// Plug in your RNG constructor here +function prng_newstate() { + return new Arcfour(); +} + +// Pool size must be a multiple of 4 and greater than 32. +// An array of bytes the size of the pool will be passed to init() +var rng_psize = 256; +// BigInteger monkey patching +BigInteger.valueOf = nbv; + +/** + * Returns a byte array representation of the big integer. + * + * This returns the absolute of the contained value in big endian + * form. A value of zero results in an empty array. + */ +BigInteger.prototype.toByteArrayUnsigned = function () { + var ba = this.abs().toByteArray(); + if (ba.length) { + if (ba[0] == 0) { + ba = ba.slice(1); + } + return ba.map(function (v) { + return (v < 0) ? v + 256 : v; + }); + } else { + // Empty array, nothing to do + return ba; + } +}; + +/** + * Turns a byte array into a big integer. + * + * This function will interpret a byte array as a big integer in big + * endian notation and ignore leading zeros. + */ +BigInteger.fromByteArrayUnsigned = function (ba) { + if (!ba.length) { + return ba.valueOf(0); + } else if (ba[0] & 0x80) { + // Prepend a zero so the BigInteger class doesn't mistake this + // for a negative integer. + return new BigInteger([0].concat(ba)); + } else { + return new BigInteger(ba); + } +}; + +/** + * Converts big integer to signed byte representation. + * + * The format for this value uses a the most significant bit as a sign + * bit. If the most significant bit is already occupied by the + * absolute value, an extra byte is prepended and the sign bit is set + * there. + * + * Examples: + * + * 0 => 0x00 + * 1 => 0x01 + * -1 => 0x81 + * 127 => 0x7f + * -127 => 0xff + * 128 => 0x0080 + * -128 => 0x8080 + * 255 => 0x00ff + * -255 => 0x80ff + * 16300 => 0x3fac + * -16300 => 0xbfac + * 62300 => 0x00f35c + * -62300 => 0x80f35c + */ +BigInteger.prototype.toByteArraySigned = function () { + var val = this.abs().toByteArrayUnsigned(); + var neg = this.compareTo(BigInteger.ZERO) < 0; + + if (neg) { + if (val[0] & 0x80) { + val.unshift(0x80); + } else { + val[0] |= 0x80; + } + } else { + if (val[0] & 0x80) { + val.unshift(0x00); + } + } + + return val; +}; + +/** + * Parse a signed big integer byte representation. + * + * For details on the format please see BigInteger.toByteArraySigned. + */ +BigInteger.fromByteArraySigned = function (ba) { + // Check for negative value + if (ba[0] & 0x80) { + // Remove sign bit + ba[0] &= 0x7f; + + return BigInteger.fromByteArrayUnsigned(ba).negate(); + } else { + return BigInteger.fromByteArrayUnsigned(ba); + } +}; + +// Console ignore +var names = ["log", "debug", "info", "warn", "error", "assert", "dir", + "dirxml", "group", "groupEnd", "time", "timeEnd", "count", + "trace", "profile", "profileEnd"]; + +if ("undefined" == typeof window.console) window.console = {}; +for (var i = 0; i < names.length; ++i) + if ("undefined" == typeof window.console[names[i]]) + window.console[names[i]] = function() {}; + +// Bitcoin utility functions +Bitcoin.Util = { + /** + * Cross-browser compatibility version of Array.isArray. + */ + isArray: Array.isArray || function(o) + { + return Object.prototype.toString.call(o) === '[object Array]'; + }, + + /** + * Create an array of a certain length filled with a specific value. + */ + makeFilledArray: function (len, val) + { + var array = []; + var i = 0; + while (i < len) { + array[i++] = val; + } + return array; + }, + + /** + * Turn an integer into a "var_int". + * + * "var_int" is a variable length integer used by Bitcoin's binary format. + * + * Returns a byte array. + */ + numToVarInt: function (i) + { + if (i < 0xfd) { + // unsigned char + return [i]; + } else if (i <= 1<<16) { + // unsigned short (LE) + return [0xfd, i >>> 8, i & 255]; + } else if (i <= 1<<32) { + // unsigned int (LE) + return [0xfe].concat(Crypto.util.wordsToBytes([i])); + } else { + // unsigned long long (LE) + return [0xff].concat(Crypto.util.wordsToBytes([i >>> 32, i])); + } + }, + + /** + * Parse a Bitcoin value byte array, returning a BigInteger. + */ + valueToBigInt: function (valueBuffer) + { + if (valueBuffer instanceof BigInteger) return valueBuffer; + + // Prepend zero byte to prevent interpretation as negative integer + return BigInteger.fromByteArrayUnsigned(valueBuffer); + }, + + /** + * Format a Bitcoin value as a string. + * + * Takes a BigInteger or byte-array and returns that amount of Bitcoins in a + * nice standard formatting. + * + * Examples: + * 12.3555 + * 0.1234 + * 900.99998888 + * 34.00 + */ + formatValue: function (valueBuffer) { + var value = this.valueToBigInt(valueBuffer).toString(); + var integerPart = value.length > 8 ? value.substr(0, value.length-8) : '0'; + var decimalPart = value.length > 8 ? value.substr(value.length-8) : value; + while (decimalPart.length < 8) decimalPart = "0"+decimalPart; + decimalPart = decimalPart.replace(/0*$/, ''); + while (decimalPart.length < 2) decimalPart += "0"; + return integerPart+"."+decimalPart; + }, + + /** + * Parse a floating point string as a Bitcoin value. + * + * Keep in mind that parsing user input is messy. You should always display + * the parsed value back to the user to make sure we understood his input + * correctly. + */ + parseValue: function (valueString) { + // TODO: Detect other number formats (e.g. comma as decimal separator) + var valueComp = valueString.split('.'); + var integralPart = valueComp[0]; + var fractionalPart = valueComp[1] || "0"; + while (fractionalPart.length < 8) fractionalPart += "0"; + fractionalPart = fractionalPart.replace(/^0+/g, ''); + var value = BigInteger.valueOf(parseInt(integralPart)); + value = value.multiply(BigInteger.valueOf(100000000)); + value = value.add(BigInteger.valueOf(parseInt(fractionalPart))); + return value; + }, + + /** + * Calculate RIPEMD160(SHA256(data)). + * + * Takes an arbitrary byte array as inputs and returns the hash as a byte + * array. + */ + sha256ripe160: function (data) { + return Crypto.RIPEMD160(Crypto.SHA256(data, {asBytes: true}), {asBytes: true}); + } +}; + +for (var i in Crypto.util) { + if (Crypto.util.hasOwnProperty(i)) { + Bitcoin.Util[i] = Crypto.util[i]; + } +} +// Random number generator - requires a PRNG backend, e.g. prng4.js + +// For best results, put code like +// +// in your main HTML document. + +var rng_state; +var rng_pool; +var rng_pptr; + +// Mix in a 32-bit integer into the pool +function rng_seed_int(x) { + rng_pool[rng_pptr++] ^= x & 255; + rng_pool[rng_pptr++] ^= (x >> 8) & 255; + rng_pool[rng_pptr++] ^= (x >> 16) & 255; + rng_pool[rng_pptr++] ^= (x >> 24) & 255; + if(rng_pptr >= rng_psize) rng_pptr -= rng_psize; +} + +// Mix in the current time (w/milliseconds) into the pool +function rng_seed_time() { + rng_seed_int(new Date().getTime()); +} + +// Initialize the pool with junk if needed. +if(rng_pool == null) { + rng_pool = new Array(); + rng_pptr = 0; + var t; + if(navigator.appName == "Netscape" && navigator.appVersion < "5" && window.crypto) { + // Extract entropy (256 bits) from NS4 RNG if available + var z = window.crypto.random(32); + for(t = 0; t < z.length; ++t) + rng_pool[rng_pptr++] = z.charCodeAt(t) & 255; + } + while(rng_pptr < rng_psize) { // extract some randomness from Math.random() + t = Math.floor(65536 * Math.random()); + rng_pool[rng_pptr++] = t >>> 8; + rng_pool[rng_pptr++] = t & 255; + } + rng_pptr = 0; + rng_seed_time(); + //rng_seed_int(window.screenX); + //rng_seed_int(window.screenY); +} + +function rng_get_byte() { + if(rng_state == null) { + rng_seed_time(); + rng_state = prng_newstate(); + rng_state.init(rng_pool); + for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr) + rng_pool[rng_pptr] = 0; + rng_pptr = 0; + //rng_pool = null; + } + // TODO: allow reseeding after first request + return rng_state.next(); +} + +function rng_get_bytes(ba) { + var i; + for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte(); +} + +function SecureRandom() {} + +SecureRandom.prototype.nextBytes = rng_get_bytes; +// Basic Javascript Elliptic Curve implementation +// Ported loosely from BouncyCastle's Java EC code +// Only Fp curves implemented for now + +// Requires jsbn.js and jsbn2.js + +// ---------------- +// ECFieldElementFp + +// constructor +function ECFieldElementFp(q,x) { + this.x = x; + // TODO if(x.compareTo(q) >= 0) error + this.q = q; +} + +function feFpEquals(other) { + if(other == this) return true; + return (this.q.equals(other.q) && this.x.equals(other.x)); +} + +function feFpToBigInteger() { + return this.x; +} + +function feFpNegate() { + return new ECFieldElementFp(this.q, this.x.negate().mod(this.q)); +} + +function feFpAdd(b) { + return new ECFieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q)); +} + +function feFpSubtract(b) { + return new ECFieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q)); +} + +function feFpMultiply(b) { + return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q)); +} + +function feFpSquare() { + return new ECFieldElementFp(this.q, this.x.square().mod(this.q)); +} + +function feFpDivide(b) { + return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q)); +} + +ECFieldElementFp.prototype.equals = feFpEquals; +ECFieldElementFp.prototype.toBigInteger = feFpToBigInteger; +ECFieldElementFp.prototype.negate = feFpNegate; +ECFieldElementFp.prototype.add = feFpAdd; +ECFieldElementFp.prototype.subtract = feFpSubtract; +ECFieldElementFp.prototype.multiply = feFpMultiply; +ECFieldElementFp.prototype.square = feFpSquare; +ECFieldElementFp.prototype.divide = feFpDivide; + +// ---------------- +// ECPointFp + +// constructor +function ECPointFp(curve,x,y,z) { + this.curve = curve; + this.x = x; + this.y = y; + // Projective coordinates: either zinv == null or z * zinv == 1 + // z and zinv are just BigIntegers, not fieldElements + if(z == null) { + this.z = BigInteger.ONE; + } + else { + this.z = z; + } + this.zinv = null; + //TODO: compression flag +} + +function pointFpGetX() { + if(this.zinv == null) { + this.zinv = this.z.modInverse(this.curve.q); + } + return this.curve.fromBigInteger(this.x.toBigInteger().multiply(this.zinv).mod(this.curve.q)); +} + +function pointFpGetY() { + if(this.zinv == null) { + this.zinv = this.z.modInverse(this.curve.q); + } + return this.curve.fromBigInteger(this.y.toBigInteger().multiply(this.zinv).mod(this.curve.q)); +} + +function pointFpEquals(other) { + if(other == this) return true; + if(this.isInfinity()) return other.isInfinity(); + if(other.isInfinity()) return this.isInfinity(); + var u, v; + // u = Y2 * Z1 - Y1 * Z2 + u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q); + if(!u.equals(BigInteger.ZERO)) return false; + // v = X2 * Z1 - X1 * Z2 + v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q); + return v.equals(BigInteger.ZERO); +} + +function pointFpIsInfinity() { + if((this.x == null) && (this.y == null)) return true; + return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO); +} + +function pointFpNegate() { + return new ECPointFp(this.curve, this.x, this.y.negate(), this.z); +} + +function pointFpAdd(b) { + if(this.isInfinity()) return b; + if(b.isInfinity()) return this; + + // u = Y2 * Z1 - Y1 * Z2 + var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q); + // v = X2 * Z1 - X1 * Z2 + var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q); + + if(BigInteger.ZERO.equals(v)) { + if(BigInteger.ZERO.equals(u)) { + return this.twice(); // this == b, so double + } + return this.curve.getInfinity(); // this = -b, so infinity + } + + var THREE = new BigInteger("3"); + var x1 = this.x.toBigInteger(); + var y1 = this.y.toBigInteger(); + var x2 = b.x.toBigInteger(); + var y2 = b.y.toBigInteger(); + + var v2 = v.square(); + var v3 = v2.multiply(v); + var x1v2 = x1.multiply(v2); + var zu2 = u.square().multiply(this.z); + + // x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3) + var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q); + // y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3 + var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q); + // z3 = v^3 * z1 * z2 + var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q); + + return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3); +} + +function pointFpTwice() { + if(this.isInfinity()) return this; + if(this.y.toBigInteger().signum() == 0) return this.curve.getInfinity(); + + // TODO: optimized handling of constants + var THREE = new BigInteger("3"); + var x1 = this.x.toBigInteger(); + var y1 = this.y.toBigInteger(); + + var y1z1 = y1.multiply(this.z); + var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q); + var a = this.curve.a.toBigInteger(); + + // w = 3 * x1^2 + a * z1^2 + var w = x1.square().multiply(THREE); + if(!BigInteger.ZERO.equals(a)) { + w = w.add(this.z.square().multiply(a)); + } + w = w.mod(this.curve.q); + // x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1) + var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q); + // y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3 + var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q); + // z3 = 8 * (y1 * z1)^3 + var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q); + + return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3); +} + +// Simple NAF (Non-Adjacent Form) multiplication algorithm +// TODO: modularize the multiplication algorithm +function pointFpMultiply(k) { + if(this.isInfinity()) return this; + if(k.signum() == 0) return this.curve.getInfinity(); + + var e = k; + var h = e.multiply(new BigInteger("3")); + + var neg = this.negate(); + var R = this; + + var i; + for(i = h.bitLength() - 2; i > 0; --i) { + R = R.twice(); + + var hBit = h.testBit(i); + var eBit = e.testBit(i); + + if (hBit != eBit) { + R = R.add(hBit ? this : neg); + } + } + + return R; +} + +// Compute this*j + x*k (simultaneous multiplication) +function pointFpMultiplyTwo(j,x,k) { + var i; + if(j.bitLength() > k.bitLength()) + i = j.bitLength() - 1; + else + i = k.bitLength() - 1; + + var R = this.curve.getInfinity(); + var both = this.add(x); + while(i >= 0) { + R = R.twice(); + if(j.testBit(i)) { + if(k.testBit(i)) { + R = R.add(both); + } + else { + R = R.add(this); + } + } + else { + if(k.testBit(i)) { + R = R.add(x); + } + } + --i; + } + + return R; +} + +ECPointFp.prototype.getX = pointFpGetX; +ECPointFp.prototype.getY = pointFpGetY; +ECPointFp.prototype.equals = pointFpEquals; +ECPointFp.prototype.isInfinity = pointFpIsInfinity; +ECPointFp.prototype.negate = pointFpNegate; +ECPointFp.prototype.add = pointFpAdd; +ECPointFp.prototype.twice = pointFpTwice; +ECPointFp.prototype.multiply = pointFpMultiply; +ECPointFp.prototype.multiplyTwo = pointFpMultiplyTwo; + +// ---------------- +// ECCurveFp + +// constructor +function ECCurveFp(q,a,b) { + this.q = q; + this.a = this.fromBigInteger(a); + this.b = this.fromBigInteger(b); + this.infinity = new ECPointFp(this, null, null); +} + +function curveFpGetQ() { + return this.q; +} + +function curveFpGetA() { + return this.a; +} + +function curveFpGetB() { + return this.b; +} + +function curveFpEquals(other) { + if(other == this) return true; + return(this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b)); +} + +function curveFpGetInfinity() { + return this.infinity; +} + +function curveFpFromBigInteger(x) { + return new ECFieldElementFp(this.q, x); +} + +// for now, work with hex strings because they're easier in JS +function curveFpDecodePointHex(s) { + switch(parseInt(s.substr(0,2), 16)) { // first byte + case 0: + return this.infinity; + case 2: + case 3: + // point compression not supported yet + return null; + case 4: + case 6: + case 7: + var len = (s.length - 2) / 2; + var xHex = s.substr(2, len); + var yHex = s.substr(len+2, len); + + return new ECPointFp(this, + this.fromBigInteger(new BigInteger(xHex, 16)), + this.fromBigInteger(new BigInteger(yHex, 16))); + + default: // unsupported + return null; + } +} + +ECCurveFp.prototype.getQ = curveFpGetQ; +ECCurveFp.prototype.getA = curveFpGetA; +ECCurveFp.prototype.getB = curveFpGetB; +ECCurveFp.prototype.equals = curveFpEquals; +ECCurveFp.prototype.getInfinity = curveFpGetInfinity; +ECCurveFp.prototype.fromBigInteger = curveFpFromBigInteger; +ECCurveFp.prototype.decodePointHex = curveFpDecodePointHex; +// Named EC curves + +// Requires ec.js, jsbn.js, and jsbn2.js + +// ---------------- +// X9ECParameters + +// constructor +function X9ECParameters(curve,g,n,h) { + this.curve = curve; + this.g = g; + this.n = n; + this.h = h; +} + +function x9getCurve() { + return this.curve; +} + +function x9getG() { + return this.g; +} + +function x9getN() { + return this.n; +} + +function x9getH() { + return this.h; +} + +X9ECParameters.prototype.getCurve = x9getCurve; +X9ECParameters.prototype.getG = x9getG; +X9ECParameters.prototype.getN = x9getN; +X9ECParameters.prototype.getH = x9getH; + +// ---------------- +// SECNamedCurves + +function fromHex(s) { return new BigInteger(s, 16); } + +function secp128r1() { + // p = 2^128 - 2^97 - 1 + var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC"); + var b = fromHex("E87579C11079F43DD824993C2CEE5ED3"); + //byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679"); + var n = fromHex("FFFFFFFE0000000075A30D1B9038A115"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "161FF7528B899B2D0C28607CA52C5B86" + + "CF5AC8395BAFEB13C02DA292DDED7A83"); + return new X9ECParameters(curve, G, n, h); +} + +function secp160k1() { + // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73"); + var a = BigInteger.ZERO; + var b = fromHex("7"); + //byte[] S = null; + var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB" + + "938CF935318FDCED6BC28286531733C3F03C4FEE"); + return new X9ECParameters(curve, G, n, h); +} + +function secp160r1() { + // p = 2^160 - 2^31 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"); + var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"); + //byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345"); + var n = fromHex("0100000000000000000001F4C8F927AED3CA752257"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "4A96B5688EF573284664698968C38BB913CBFC82" + + "23A628553168947D59DCC912042351377AC5FB32"); + return new X9ECParameters(curve, G, n, h); +} + +function secp192k1() { + // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37"); + var a = BigInteger.ZERO; + var b = fromHex("3"); + //byte[] S = null; + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D" + + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"); + return new X9ECParameters(curve, G, n, h); +} + +function secp192r1() { + // p = 2^192 - 2^64 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"); + var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"); + //byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5"); + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012" + + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"); + return new X9ECParameters(curve, G, n, h); +} + +function secp224r1() { + // p = 2^224 - 2^96 + 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"); + var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"); + //byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5"); + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21" + + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"); + return new X9ECParameters(curve, G, n, h); +} + +function secp256k1() { + // p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F"); + var a = BigInteger.ZERO; + var b = fromHex("7"); + //byte[] S = null; + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798" + + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"); + return new X9ECParameters(curve, G, n, h); +} + +function secp256r1() { + // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1 + var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"); + var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"); + //byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90"); + var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296" + + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"); + return new X9ECParameters(curve, G, n, h); +} + +// TODO: make this into a proper hashtable +function getSECCurveByName(name) { + if(name == "secp128r1") return secp128r1(); + if(name == "secp160k1") return secp160k1(); + if(name == "secp160r1") return secp160r1(); + if(name == "secp192k1") return secp192k1(); + if(name == "secp192r1") return secp192r1(); + if(name == "secp224r1") return secp224r1(); + if(name == "secp256k1") return secp256k1(); + if(name == "secp256r1") return secp256r1(); + return null; +} +function integerToBytes(i, len) { + var bytes = i.toByteArrayUnsigned(); + + if (len < bytes.length) { + bytes = bytes.slice(bytes.length-len); + } else while (len > bytes.length) { + bytes.unshift(0); + } + + return bytes; +}; + +ECFieldElementFp.prototype.getByteLength = function () { + return Math.floor((this.toBigInteger().bitLength() + 7) / 8); +}; + +ECPointFp.prototype.getEncoded = function (compressed) { + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + + // Get value as a 32-byte Buffer + // Fixed length based on a patch by bitaddress.org and Casascius + var enc = integerToBytes(x, 32); + + if (compressed) { + if (y.isEven()) { + // Compressed even pubkey + // M = 02 || X + enc.unshift(0x02); + } else { + // Compressed uneven pubkey + // M = 03 || X + enc.unshift(0x03); + } + } else { + // Uncompressed pubkey + // M = 04 || X || Y + enc.unshift(0x04); + enc = enc.concat(integerToBytes(y, 32)); + } + return enc; +}; + +ECPointFp.decodeFrom = function (curve, enc) { + var type = enc[0]; + var dataLen = enc.length-1; + + // Extract x and y as byte arrays + var xBa = enc.slice(1, 1 + dataLen/2); + var yBa = enc.slice(1 + dataLen/2, 1 + dataLen); + + // Prepend zero byte to prevent interpretation as negative integer + xBa.unshift(0); + yBa.unshift(0); + + // Convert to BigIntegers + var x = new BigInteger(xBa); + var y = new BigInteger(yBa); + + // Return point + return new ECPointFp(curve, curve.fromBigInteger(x), curve.fromBigInteger(y)); +}; + +ECPointFp.prototype.add2D = function (b) { + if(this.isInfinity()) return b; + if(b.isInfinity()) return this; + + if (this.x.equals(b.x)) { + if (this.y.equals(b.y)) { + // this = b, i.e. this must be doubled + return this.twice(); + } + // this = -b, i.e. the result is the point at infinity + return this.curve.getInfinity(); + } + + var x_x = b.x.subtract(this.x); + var y_y = b.y.subtract(this.y); + var gamma = y_y.divide(x_x); + + var x3 = gamma.square().subtract(this.x).subtract(b.x); + var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y); + + return new ECPointFp(this.curve, x3, y3); +}; + +ECPointFp.prototype.twice2D = function () { + if (this.isInfinity()) return this; + if (this.y.toBigInteger().signum() == 0) { + // if y1 == 0, then (x1, y1) == (x1, -y1) + // and hence this = -this and thus 2(x1, y1) == infinity + return this.curve.getInfinity(); + } + + var TWO = this.curve.fromBigInteger(BigInteger.valueOf(2)); + var THREE = this.curve.fromBigInteger(BigInteger.valueOf(3)); + var gamma = this.x.square().multiply(THREE).add(this.curve.a).divide(this.y.multiply(TWO)); + + var x3 = gamma.square().subtract(this.x.multiply(TWO)); + var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y); + + return new ECPointFp(this.curve, x3, y3); +}; + +ECPointFp.prototype.multiply2D = function (k) { + if(this.isInfinity()) return this; + if(k.signum() == 0) return this.curve.getInfinity(); + + var e = k; + var h = e.multiply(new BigInteger("3")); + + var neg = this.negate(); + var R = this; + + var i; + for (i = h.bitLength() - 2; i > 0; --i) { + R = R.twice(); + + var hBit = h.testBit(i); + var eBit = e.testBit(i); + + if (hBit != eBit) { + R = R.add2D(hBit ? this : neg); + } + } + + return R; +}; + +ECPointFp.prototype.isOnCurve = function () { + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + var a = this.curve.getA().toBigInteger(); + var b = this.curve.getB().toBigInteger(); + var n = this.curve.getQ(); + var lhs = y.multiply(y).mod(n); + var rhs = x.multiply(x).multiply(x) + .add(a.multiply(x)).add(b).mod(n); + return lhs.equals(rhs); +}; + +ECPointFp.prototype.toString = function () { + return '('+this.getX().toBigInteger().toString()+','+ + this.getY().toBigInteger().toString()+')'; +}; + +/** + * Validate an elliptic curve point. + * + * See SEC 1, section 3.2.2.1: Elliptic Curve Public Key Validation Primitive + */ +ECPointFp.prototype.validate = function () { + var n = this.curve.getQ(); + + // Check Q != O + if (this.isInfinity()) { + throw new Error("Point is at infinity."); + } + + // Check coordinate bounds + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + if (x.compareTo(BigInteger.ONE) < 0 || + x.compareTo(n.subtract(BigInteger.ONE)) > 0) { + throw new Error('x coordinate out of bounds'); + } + if (y.compareTo(BigInteger.ONE) < 0 || + y.compareTo(n.subtract(BigInteger.ONE)) > 0) { + throw new Error('y coordinate out of bounds'); + } + + // Check y^2 = x^3 + ax + b (mod n) + if (!this.isOnCurve()) { + throw new Error("Point is not on the curve."); + } + + // Check nQ = 0 (Q is a scalar multiple of G) + if (this.multiply(n).isInfinity()) { + // TODO: This check doesn't work - fix. + throw new Error("Point is not a scalar multiple of G."); + } + + return true; +}; + +function dmp(v) { + if (!(v instanceof BigInteger)) v = v.toBigInteger(); + return Crypto.util.bytesToHex(v.toByteArrayUnsigned()); +}; + +Bitcoin.ECDSA = (function () { + var ecparams = getSECCurveByName("secp256k1"); + var rng = new SecureRandom(); + + var P_OVER_FOUR = null; + + function implShamirsTrick(P, k, Q, l) + { + var m = Math.max(k.bitLength(), l.bitLength()); + var Z = P.add2D(Q); + var R = P.curve.getInfinity(); + + for (var i = m - 1; i >= 0; --i) { + R = R.twice2D(); + + R.z = BigInteger.ONE; + + if (k.testBit(i)) { + if (l.testBit(i)) { + R = R.add2D(Z); + } else { + R = R.add2D(P); + } + } else { + if (l.testBit(i)) { + R = R.add2D(Q); + } + } + } + + return R; + }; + + var ECDSA = { + getBigRandom: function (limit) { + return new BigInteger(limit.bitLength(), rng) + .mod(limit.subtract(BigInteger.ONE)) + .add(BigInteger.ONE) + ; + }, + sign: function (hash, priv) { + var d = priv; + var n = ecparams.getN(); + var e = BigInteger.fromByteArrayUnsigned(hash); + + do { + var k = ECDSA.getBigRandom(n); + var G = ecparams.getG(); + var Q = G.multiply(k); + var r = Q.getX().toBigInteger().mod(n); + } while (r.compareTo(BigInteger.ZERO) <= 0); + + var s = k.modInverse(n).multiply(e.add(d.multiply(r))).mod(n); + + return ECDSA.serializeSig(r, s); + }, + + verify: function (hash, sig, pubkey) { + var r,s; + if (Bitcoin.Util.isArray(sig)) { + var obj = ECDSA.parseSig(sig); + r = obj.r; + s = obj.s; + } else if ("object" === typeof sig && sig.r && sig.s) { + r = sig.r; + s = sig.s; + } else { + throw "Invalid value for signature"; + } + + var Q; + if (pubkey instanceof ECPointFp) { + Q = pubkey; + } else if (Bitcoin.Util.isArray(pubkey)) { + Q = ECPointFp.decodeFrom(ecparams.getCurve(), pubkey); + } else { + throw "Invalid format for pubkey value, must be byte array or ECPointFp"; + } + var e = BigInteger.fromByteArrayUnsigned(hash); + + return ECDSA.verifyRaw(e, r, s, Q); + }, + + verifyRaw: function (e, r, s, Q) { + var n = ecparams.getN(); + var G = ecparams.getG(); + + if (r.compareTo(BigInteger.ONE) < 0 || + r.compareTo(n) >= 0) + return false; + + if (s.compareTo(BigInteger.ONE) < 0 || + s.compareTo(n) >= 0) + return false; + + var c = s.modInverse(n); + + var u1 = e.multiply(c).mod(n); + var u2 = r.multiply(c).mod(n); + + // TODO(!!!): For some reason Shamir's trick isn't working with + // signed message verification!? Probably an implementation + // error! + //var point = implShamirsTrick(G, u1, Q, u2); + var point = G.multiply(u1).add(Q.multiply(u2)); + + var v = point.getX().toBigInteger().mod(n); + + return v.equals(r); + }, + + /** + * Serialize a signature into DER format. + * + * Takes two BigIntegers representing r and s and returns a byte array. + */ + serializeSig: function (r, s) { + var rBa = r.toByteArraySigned(); + var sBa = s.toByteArraySigned(); + + var sequence = []; + sequence.push(0x02); // INTEGER + sequence.push(rBa.length); + sequence = sequence.concat(rBa); + + sequence.push(0x02); // INTEGER + sequence.push(sBa.length); + sequence = sequence.concat(sBa); + + sequence.unshift(sequence.length); + sequence.unshift(0x30); // SEQUENCE + + return sequence; + }, + + /** + * Parses a byte array containing a DER-encoded signature. + * + * This function will return an object of the form: + * + * { + * r: BigInteger, + * s: BigInteger + * } + */ + parseSig: function (sig) { + var cursor; + if (sig[0] != 0x30) + throw new Error("Signature not a valid DERSequence"); + + cursor = 2; + if (sig[cursor] != 0x02) + throw new Error("First element in signature must be a DERInteger");; + var rBa = sig.slice(cursor+2, cursor+2+sig[cursor+1]); + + cursor += 2+sig[cursor+1]; + if (sig[cursor] != 0x02) + throw new Error("Second element in signature must be a DERInteger"); + var sBa = sig.slice(cursor+2, cursor+2+sig[cursor+1]); + + cursor += 2+sig[cursor+1]; + + //if (cursor != sig.length) + // throw new Error("Extra bytes in signature"); + + var r = BigInteger.fromByteArrayUnsigned(rBa); + var s = BigInteger.fromByteArrayUnsigned(sBa); + + return {r: r, s: s}; + }, + + parseSigCompact: function (sig) { + if (sig.length !== 65) { + throw "Signature has the wrong length"; + } + + // Signature is prefixed with a type byte storing three bits of + // information. + var i = sig[0] - 27; + if (i < 0 || i > 7) { + throw "Invalid signature type"; + } + + var n = ecparams.getN(); + var r = BigInteger.fromByteArrayUnsigned(sig.slice(1, 33)).mod(n); + var s = BigInteger.fromByteArrayUnsigned(sig.slice(33, 65)).mod(n); + + return {r: r, s: s, i: i}; + }, + + /** + * Recover a public key from a signature. + * + * See SEC 1: Elliptic Curve Cryptography, section 4.1.6, "Public + * Key Recovery Operation". + * + * http://www.secg.org/download/aid-780/sec1-v2.pdf + */ + recoverPubKey: function (r, s, hash, i) { + // The recovery parameter i has two bits. + i = i & 3; + + // The less significant bit specifies whether the y coordinate + // of the compressed point is even or not. + var isYEven = i & 1; + + // The more significant bit specifies whether we should use the + // first or second candidate key. + var isSecondKey = i >> 1; + + var n = ecparams.getN(); + var G = ecparams.getG(); + var curve = ecparams.getCurve(); + var p = curve.getQ(); + var a = curve.getA().toBigInteger(); + var b = curve.getB().toBigInteger(); + + // We precalculate (p + 1) / 4 where p is if the field order + if (!P_OVER_FOUR) { + P_OVER_FOUR = p.add(BigInteger.ONE).divide(BigInteger.valueOf(4)); + } + + // 1.1 Compute x + var x = isSecondKey ? r.add(n) : r; + + // 1.3 Convert x to point + var alpha = x.multiply(x).multiply(x).add(a.multiply(x)).add(b).mod(p); + var beta = alpha.modPow(P_OVER_FOUR, p); + + var xorOdd = beta.isEven() ? (i % 2) : ((i+1) % 2); + // If beta is even, but y isn't or vice versa, then convert it, + // otherwise we're done and y == beta. + var y = (beta.isEven() ? !isYEven : isYEven) ? beta : p.subtract(beta); + + // 1.4 Check that nR is at infinity + var R = new ECPointFp(curve, + curve.fromBigInteger(x), + curve.fromBigInteger(y)); + R.validate(); + + // 1.5 Compute e from M + var e = BigInteger.fromByteArrayUnsigned(hash); + var eNeg = BigInteger.ZERO.subtract(e).mod(n); + + // 1.6 Compute Q = r^-1 (sR - eG) + var rInv = r.modInverse(n); + var Q = implShamirsTrick(R, s, G, eNeg).multiply(rInv); + + Q.validate(); + if (!ECDSA.verifyRaw(e, r, s, Q)) { + throw "Pubkey recovery unsuccessful"; + } + + var pubKey = new Bitcoin.ECKey(); + pubKey.pub = Q; + return pubKey; + }, + + /** + * Calculate pubkey extraction parameter. + * + * When extracting a pubkey from a signature, we have to + * distinguish four different cases. Rather than putting this + * burden on the verifier, Bitcoin includes a 2-bit value with the + * signature. + * + * This function simply tries all four cases and returns the value + * that resulted in a successful pubkey recovery. + */ + calcPubkeyRecoveryParam: function (address, r, s, hash) + { + for (var i = 0; i < 4; i++) { + try { + var pubkey = Bitcoin.ECDSA.recoverPubKey(r, s, hash, i); + if (pubkey.getBitcoinAddress().toString() == address) { + return i; + } + } catch (e) {} + } + throw "Unable to find valid recovery factor"; + } + }; + + return ECDSA; +})(); +Bitcoin.ECKey = (function () { + var ECDSA = Bitcoin.ECDSA; + var ecparams = getSECCurveByName("secp256k1"); + var rng = new SecureRandom(); + + var ECKey = function (input) { + if (!input) { + // Generate new key + var n = ecparams.getN(); + this.priv = ECDSA.getBigRandom(n); + } else if (input instanceof BigInteger) { + // Input is a private key value + this.priv = input; + } else if (Bitcoin.Util.isArray(input)) { + // Prepend zero byte to prevent interpretation as negative integer + this.priv = BigInteger.fromByteArrayUnsigned(input); + } else if ("string" == typeof input) { + if (input.length == 51 && input[0] == '5') { + // Base58 encoded private key + this.priv = BigInteger.fromByteArrayUnsigned(ECKey.decodeString(input)); + } else { + // Prepend zero byte to prevent interpretation as negative integer + this.priv = BigInteger.fromByteArrayUnsigned(Crypto.util.base64ToBytes(input)); + } + } + this.compressed = !!ECKey.compressByDefault; + }; + + /** + * Whether public keys should be returned compressed by default. + */ + ECKey.compressByDefault = false; + + /** + * Set whether the public key should be returned compressed or not. + */ + ECKey.prototype.setCompressed = function (v) { + this.compressed = !!v; + }; + + /** + * Return public key in DER encoding. + */ + ECKey.prototype.getPub = function () { + return this.getPubPoint().getEncoded(this.compressed); + }; + + /** + * Return public point as ECPoint object. + */ + ECKey.prototype.getPubPoint = function () { + if (!this.pub) this.pub = ecparams.getG().multiply(this.priv); + + return this.pub; + }; + + /** + * Get the pubKeyHash for this key. + * + * This is calculated as RIPE160(SHA256([encoded pubkey])) and returned as + * a byte array. + */ + ECKey.prototype.getPubKeyHash = function () { + if (this.pubKeyHash) return this.pubKeyHash; + + return this.pubKeyHash = Bitcoin.Util.sha256ripe160(this.getPub()); + }; + + ECKey.prototype.getBitcoinAddress = function () { + var hash = this.getPubKeyHash(); + var addr = new Bitcoin.Address(hash); + return addr; + }; + + ECKey.prototype.getExportedPrivateKey = function () { + var hash = this.priv.toByteArrayUnsigned(); + while (hash.length < 32) hash.unshift(0); + hash.unshift(0x80); + var checksum = Crypto.SHA256(Crypto.SHA256(hash, {asBytes: true}), {asBytes: true}); + var bytes = hash.concat(checksum.slice(0,4)); + return Bitcoin.Base58.encode(bytes); + }; + + ECKey.prototype.setPub = function (pub) { + this.pub = ECPointFp.decodeFrom(ecparams.getCurve(), pub); + }; + + ECKey.prototype.toString = function (format) { + if (format === "base64") { + return Crypto.util.bytesToBase64(this.priv.toByteArrayUnsigned()); + } else { + return Crypto.util.bytesToHex(this.priv.toByteArrayUnsigned()); + } + }; + + ECKey.prototype.sign = function (hash) { + return ECDSA.sign(hash, this.priv); + }; + + ECKey.prototype.verify = function (hash, sig) { + return ECDSA.verify(hash, sig, this.getPub()); + }; + + /** + * Parse an exported private key contained in a string. + */ + ECKey.decodeString = function (string) { + var bytes = Bitcoin.Base58.decode(string); + + var hash = bytes.slice(0, 33); + + var checksum = Crypto.SHA256(Crypto.SHA256(hash, {asBytes: true}), {asBytes: true}); + + if (checksum[0] != bytes[33] || + checksum[1] != bytes[34] || + checksum[2] != bytes[35] || + checksum[3] != bytes[36]) { + throw "Checksum validation failed!"; + } + + var version = hash.shift(); + + if (version != 0x80) { + throw "Version "+version+" not supported!"; + } + + return hash; + }; + + return ECKey; +})(); + + +module.exports.ECKey = Bitcoin.ECKey; diff --git a/browser/browser.js b/browser/browser.js new file mode 100644 index 000000000..ea1e77f74 --- /dev/null +++ b/browser/browser.js @@ -0,0 +1 @@ +if ("undefined" == typeof window) window = this; diff --git a/browser/crypto.js b/browser/crypto.js new file mode 100644 index 000000000..60b6c3a14 --- /dev/null +++ b/browser/crypto.js @@ -0,0 +1,158 @@ +/*! + * Crypto-JS v2.0.0 + * http://code.google.com/p/crypto-js/ + * Copyright (c) 2009, Jeff Mott. All rights reserved. + * http://code.google.com/p/crypto-js/wiki/License + */ + +var base64map = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"; + +// Global Crypto object +var Crypto = window.Crypto = {}; + +// Crypto utilities +var util = Crypto.util = { + + // Bit-wise rotate left + rotl: function (n, b) { + return (n << b) | (n >>> (32 - b)); + }, + + // Bit-wise rotate right + rotr: function (n, b) { + return (n << (32 - b)) | (n >>> b); + }, + + // Swap big-endian to little-endian and vice versa + endian: function (n) { + + // If number given, swap endian + if (n.constructor == Number) { + return util.rotl(n, 8) & 0x00FF00FF | + util.rotl(n, 24) & 0xFF00FF00; + } + + // Else, assume array and swap all items + for (var i = 0; i < n.length; i++) + n[i] = util.endian(n[i]); + return n; + + }, + + // Generate an array of any length of random bytes + randomBytes: function (n) { + for (var bytes = []; n > 0; n--) + bytes.push(Math.floor(Math.random() * 256)); + return bytes; + }, + + // Convert a byte array to big-endian 32-bit words + bytesToWords: function (bytes) { + for (var words = [], i = 0, b = 0; i < bytes.length; i++, b += 8) + words[b >>> 5] |= bytes[i] << (24 - b % 32); + return words; + }, + + // Convert big-endian 32-bit words to a byte array + wordsToBytes: function (words) { + for (var bytes = [], b = 0; b < words.length * 32; b += 8) + bytes.push((words[b >>> 5] >>> (24 - b % 32)) & 0xFF); + return bytes; + }, + + // Convert a byte array to a hex string + bytesToHex: function (bytes) { + for (var hex = [], i = 0; i < bytes.length; i++) { + hex.push((bytes[i] >>> 4).toString(16)); + hex.push((bytes[i] & 0xF).toString(16)); + } + return hex.join(""); + }, + + // Convert a hex string to a byte array + hexToBytes: function (hex) { + for (var bytes = [], c = 0; c < hex.length; c += 2) + bytes.push(parseInt(hex.substr(c, 2), 16)); + return bytes; + }, + + // Convert a byte array to a base-64 string + bytesToBase64: function (bytes) { + + // Use browser-native function if it exists + if (typeof btoa == "function") return btoa(Binary.bytesToString(bytes)); + + for(var base64 = [], i = 0; i < bytes.length; i += 3) { + var triplet = (bytes[i] << 16) | (bytes[i + 1] << 8) | bytes[i + 2]; + for (var j = 0; j < 4; j++) { + if (i * 8 + j * 6 <= bytes.length * 8) + base64.push(base64map.charAt((triplet >>> 6 * (3 - j)) & 0x3F)); + else base64.push("="); + } + } + + return base64.join(""); + + }, + + // Convert a base-64 string to a byte array + base64ToBytes: function (base64) { + + // Use browser-native function if it exists + if (typeof atob == "function") return Binary.stringToBytes(atob(base64)); + + // Remove non-base-64 characters + base64 = base64.replace(/[^A-Z0-9+\/]/ig, ""); + + for (var bytes = [], i = 0, imod4 = 0; i < base64.length; imod4 = ++i % 4) { + if (imod4 == 0) continue; + bytes.push(((base64map.indexOf(base64.charAt(i - 1)) & (Math.pow(2, -2 * imod4 + 8) - 1)) << (imod4 * 2)) | + (base64map.indexOf(base64.charAt(i)) >>> (6 - imod4 * 2))); + } + + return bytes; + + } + +}; + +// Crypto mode namespace +Crypto.mode = {}; + +// Crypto character encodings +var charenc = Crypto.charenc = {}; + +// UTF-8 encoding +var UTF8 = charenc.UTF8 = { + + // Convert a string to a byte array + stringToBytes: function (str) { + return Binary.stringToBytes(unescape(encodeURIComponent(str))); + }, + + // Convert a byte array to a string + bytesToString: function (bytes) { + return decodeURIComponent(escape(Binary.bytesToString(bytes))); + } + +}; + +// Binary encoding +var Binary = charenc.Binary = { + + // Convert a string to a byte array + stringToBytes: function (str) { + for (var bytes = [], i = 0; i < str.length; i++) + bytes.push(str.charCodeAt(i)); + return bytes; + }, + + // Convert a byte array to a string + bytesToString: function (bytes) { + for (var str = [], i = 0; i < bytes.length; i++) + str.push(String.fromCharCode(bytes[i])); + return str.join(""); + } + +}; + diff --git a/browser/ec.js b/browser/ec.js new file mode 100644 index 000000000..43ded3ea7 --- /dev/null +++ b/browser/ec.js @@ -0,0 +1,316 @@ +// Basic Javascript Elliptic Curve implementation +// Ported loosely from BouncyCastle's Java EC code +// Only Fp curves implemented for now + +// Requires jsbn.js and jsbn2.js + +// ---------------- +// ECFieldElementFp + +// constructor +function ECFieldElementFp(q,x) { + this.x = x; + // TODO if(x.compareTo(q) >= 0) error + this.q = q; +} + +function feFpEquals(other) { + if(other == this) return true; + return (this.q.equals(other.q) && this.x.equals(other.x)); +} + +function feFpToBigInteger() { + return this.x; +} + +function feFpNegate() { + return new ECFieldElementFp(this.q, this.x.negate().mod(this.q)); +} + +function feFpAdd(b) { + return new ECFieldElementFp(this.q, this.x.add(b.toBigInteger()).mod(this.q)); +} + +function feFpSubtract(b) { + return new ECFieldElementFp(this.q, this.x.subtract(b.toBigInteger()).mod(this.q)); +} + +function feFpMultiply(b) { + return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger()).mod(this.q)); +} + +function feFpSquare() { + return new ECFieldElementFp(this.q, this.x.square().mod(this.q)); +} + +function feFpDivide(b) { + return new ECFieldElementFp(this.q, this.x.multiply(b.toBigInteger().modInverse(this.q)).mod(this.q)); +} + +ECFieldElementFp.prototype.equals = feFpEquals; +ECFieldElementFp.prototype.toBigInteger = feFpToBigInteger; +ECFieldElementFp.prototype.negate = feFpNegate; +ECFieldElementFp.prototype.add = feFpAdd; +ECFieldElementFp.prototype.subtract = feFpSubtract; +ECFieldElementFp.prototype.multiply = feFpMultiply; +ECFieldElementFp.prototype.square = feFpSquare; +ECFieldElementFp.prototype.divide = feFpDivide; + +// ---------------- +// ECPointFp + +// constructor +function ECPointFp(curve,x,y,z) { + this.curve = curve; + this.x = x; + this.y = y; + // Projective coordinates: either zinv == null or z * zinv == 1 + // z and zinv are just BigIntegers, not fieldElements + if(z == null) { + this.z = BigInteger.ONE; + } + else { + this.z = z; + } + this.zinv = null; + //TODO: compression flag +} + +function pointFpGetX() { + if(this.zinv == null) { + this.zinv = this.z.modInverse(this.curve.q); + } + return this.curve.fromBigInteger(this.x.toBigInteger().multiply(this.zinv).mod(this.curve.q)); +} + +function pointFpGetY() { + if(this.zinv == null) { + this.zinv = this.z.modInverse(this.curve.q); + } + return this.curve.fromBigInteger(this.y.toBigInteger().multiply(this.zinv).mod(this.curve.q)); +} + +function pointFpEquals(other) { + if(other == this) return true; + if(this.isInfinity()) return other.isInfinity(); + if(other.isInfinity()) return this.isInfinity(); + var u, v; + // u = Y2 * Z1 - Y1 * Z2 + u = other.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(other.z)).mod(this.curve.q); + if(!u.equals(BigInteger.ZERO)) return false; + // v = X2 * Z1 - X1 * Z2 + v = other.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(other.z)).mod(this.curve.q); + return v.equals(BigInteger.ZERO); +} + +function pointFpIsInfinity() { + if((this.x == null) && (this.y == null)) return true; + return this.z.equals(BigInteger.ZERO) && !this.y.toBigInteger().equals(BigInteger.ZERO); +} + +function pointFpNegate() { + return new ECPointFp(this.curve, this.x, this.y.negate(), this.z); +} + +function pointFpAdd(b) { + if(this.isInfinity()) return b; + if(b.isInfinity()) return this; + + // u = Y2 * Z1 - Y1 * Z2 + var u = b.y.toBigInteger().multiply(this.z).subtract(this.y.toBigInteger().multiply(b.z)).mod(this.curve.q); + // v = X2 * Z1 - X1 * Z2 + var v = b.x.toBigInteger().multiply(this.z).subtract(this.x.toBigInteger().multiply(b.z)).mod(this.curve.q); + + if(BigInteger.ZERO.equals(v)) { + if(BigInteger.ZERO.equals(u)) { + return this.twice(); // this == b, so double + } + return this.curve.getInfinity(); // this = -b, so infinity + } + + var THREE = new BigInteger("3"); + var x1 = this.x.toBigInteger(); + var y1 = this.y.toBigInteger(); + var x2 = b.x.toBigInteger(); + var y2 = b.y.toBigInteger(); + + var v2 = v.square(); + var v3 = v2.multiply(v); + var x1v2 = x1.multiply(v2); + var zu2 = u.square().multiply(this.z); + + // x3 = v * (z2 * (z1 * u^2 - 2 * x1 * v^2) - v^3) + var x3 = zu2.subtract(x1v2.shiftLeft(1)).multiply(b.z).subtract(v3).multiply(v).mod(this.curve.q); + // y3 = z2 * (3 * x1 * u * v^2 - y1 * v^3 - z1 * u^3) + u * v^3 + var y3 = x1v2.multiply(THREE).multiply(u).subtract(y1.multiply(v3)).subtract(zu2.multiply(u)).multiply(b.z).add(u.multiply(v3)).mod(this.curve.q); + // z3 = v^3 * z1 * z2 + var z3 = v3.multiply(this.z).multiply(b.z).mod(this.curve.q); + + return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3); +} + +function pointFpTwice() { + if(this.isInfinity()) return this; + if(this.y.toBigInteger().signum() == 0) return this.curve.getInfinity(); + + // TODO: optimized handling of constants + var THREE = new BigInteger("3"); + var x1 = this.x.toBigInteger(); + var y1 = this.y.toBigInteger(); + + var y1z1 = y1.multiply(this.z); + var y1sqz1 = y1z1.multiply(y1).mod(this.curve.q); + var a = this.curve.a.toBigInteger(); + + // w = 3 * x1^2 + a * z1^2 + var w = x1.square().multiply(THREE); + if(!BigInteger.ZERO.equals(a)) { + w = w.add(this.z.square().multiply(a)); + } + w = w.mod(this.curve.q); + // x3 = 2 * y1 * z1 * (w^2 - 8 * x1 * y1^2 * z1) + var x3 = w.square().subtract(x1.shiftLeft(3).multiply(y1sqz1)).shiftLeft(1).multiply(y1z1).mod(this.curve.q); + // y3 = 4 * y1^2 * z1 * (3 * w * x1 - 2 * y1^2 * z1) - w^3 + var y3 = w.multiply(THREE).multiply(x1).subtract(y1sqz1.shiftLeft(1)).shiftLeft(2).multiply(y1sqz1).subtract(w.square().multiply(w)).mod(this.curve.q); + // z3 = 8 * (y1 * z1)^3 + var z3 = y1z1.square().multiply(y1z1).shiftLeft(3).mod(this.curve.q); + + return new ECPointFp(this.curve, this.curve.fromBigInteger(x3), this.curve.fromBigInteger(y3), z3); +} + +// Simple NAF (Non-Adjacent Form) multiplication algorithm +// TODO: modularize the multiplication algorithm +function pointFpMultiply(k) { + if(this.isInfinity()) return this; + if(k.signum() == 0) return this.curve.getInfinity(); + + var e = k; + var h = e.multiply(new BigInteger("3")); + + var neg = this.negate(); + var R = this; + + var i; + for(i = h.bitLength() - 2; i > 0; --i) { + R = R.twice(); + + var hBit = h.testBit(i); + var eBit = e.testBit(i); + + if (hBit != eBit) { + R = R.add(hBit ? this : neg); + } + } + + return R; +} + +// Compute this*j + x*k (simultaneous multiplication) +function pointFpMultiplyTwo(j,x,k) { + var i; + if(j.bitLength() > k.bitLength()) + i = j.bitLength() - 1; + else + i = k.bitLength() - 1; + + var R = this.curve.getInfinity(); + var both = this.add(x); + while(i >= 0) { + R = R.twice(); + if(j.testBit(i)) { + if(k.testBit(i)) { + R = R.add(both); + } + else { + R = R.add(this); + } + } + else { + if(k.testBit(i)) { + R = R.add(x); + } + } + --i; + } + + return R; +} + +ECPointFp.prototype.getX = pointFpGetX; +ECPointFp.prototype.getY = pointFpGetY; +ECPointFp.prototype.equals = pointFpEquals; +ECPointFp.prototype.isInfinity = pointFpIsInfinity; +ECPointFp.prototype.negate = pointFpNegate; +ECPointFp.prototype.add = pointFpAdd; +ECPointFp.prototype.twice = pointFpTwice; +ECPointFp.prototype.multiply = pointFpMultiply; +ECPointFp.prototype.multiplyTwo = pointFpMultiplyTwo; + +// ---------------- +// ECCurveFp + +// constructor +function ECCurveFp(q,a,b) { + this.q = q; + this.a = this.fromBigInteger(a); + this.b = this.fromBigInteger(b); + this.infinity = new ECPointFp(this, null, null); +} + +function curveFpGetQ() { + return this.q; +} + +function curveFpGetA() { + return this.a; +} + +function curveFpGetB() { + return this.b; +} + +function curveFpEquals(other) { + if(other == this) return true; + return(this.q.equals(other.q) && this.a.equals(other.a) && this.b.equals(other.b)); +} + +function curveFpGetInfinity() { + return this.infinity; +} + +function curveFpFromBigInteger(x) { + return new ECFieldElementFp(this.q, x); +} + +// for now, work with hex strings because they're easier in JS +function curveFpDecodePointHex(s) { + switch(parseInt(s.substr(0,2), 16)) { // first byte + case 0: + return this.infinity; + case 2: + case 3: + // point compression not supported yet + return null; + case 4: + case 6: + case 7: + var len = (s.length - 2) / 2; + var xHex = s.substr(2, len); + var yHex = s.substr(len+2, len); + + return new ECPointFp(this, + this.fromBigInteger(new BigInteger(xHex, 16)), + this.fromBigInteger(new BigInteger(yHex, 16))); + + default: // unsupported + return null; + } +} + +ECCurveFp.prototype.getQ = curveFpGetQ; +ECCurveFp.prototype.getA = curveFpGetA; +ECCurveFp.prototype.getB = curveFpGetB; +ECCurveFp.prototype.equals = curveFpEquals; +ECCurveFp.prototype.getInfinity = curveFpGetInfinity; +ECCurveFp.prototype.fromBigInteger = curveFpFromBigInteger; +ECCurveFp.prototype.decodePointHex = curveFpDecodePointHex; diff --git a/browser/ecdsa.js b/browser/ecdsa.js new file mode 100644 index 000000000..a2497bfff --- /dev/null +++ b/browser/ecdsa.js @@ -0,0 +1,475 @@ +function integerToBytes(i, len) { + var bytes = i.toByteArrayUnsigned(); + + if (len < bytes.length) { + bytes = bytes.slice(bytes.length-len); + } else while (len > bytes.length) { + bytes.unshift(0); + } + + return bytes; +}; + +ECFieldElementFp.prototype.getByteLength = function () { + return Math.floor((this.toBigInteger().bitLength() + 7) / 8); +}; + +ECPointFp.prototype.getEncoded = function (compressed) { + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + + // Get value as a 32-byte Buffer + // Fixed length based on a patch by bitaddress.org and Casascius + var enc = integerToBytes(x, 32); + + if (compressed) { + if (y.isEven()) { + // Compressed even pubkey + // M = 02 || X + enc.unshift(0x02); + } else { + // Compressed uneven pubkey + // M = 03 || X + enc.unshift(0x03); + } + } else { + // Uncompressed pubkey + // M = 04 || X || Y + enc.unshift(0x04); + enc = enc.concat(integerToBytes(y, 32)); + } + return enc; +}; + +ECPointFp.decodeFrom = function (curve, enc) { + var type = enc[0]; + var dataLen = enc.length-1; + + // Extract x and y as byte arrays + var xBa = enc.slice(1, 1 + dataLen/2); + var yBa = enc.slice(1 + dataLen/2, 1 + dataLen); + + // Prepend zero byte to prevent interpretation as negative integer + xBa.unshift(0); + yBa.unshift(0); + + // Convert to BigIntegers + var x = new BigInteger(xBa); + var y = new BigInteger(yBa); + + // Return point + return new ECPointFp(curve, curve.fromBigInteger(x), curve.fromBigInteger(y)); +}; + +ECPointFp.prototype.add2D = function (b) { + if(this.isInfinity()) return b; + if(b.isInfinity()) return this; + + if (this.x.equals(b.x)) { + if (this.y.equals(b.y)) { + // this = b, i.e. this must be doubled + return this.twice(); + } + // this = -b, i.e. the result is the point at infinity + return this.curve.getInfinity(); + } + + var x_x = b.x.subtract(this.x); + var y_y = b.y.subtract(this.y); + var gamma = y_y.divide(x_x); + + var x3 = gamma.square().subtract(this.x).subtract(b.x); + var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y); + + return new ECPointFp(this.curve, x3, y3); +}; + +ECPointFp.prototype.twice2D = function () { + if (this.isInfinity()) return this; + if (this.y.toBigInteger().signum() == 0) { + // if y1 == 0, then (x1, y1) == (x1, -y1) + // and hence this = -this and thus 2(x1, y1) == infinity + return this.curve.getInfinity(); + } + + var TWO = this.curve.fromBigInteger(BigInteger.valueOf(2)); + var THREE = this.curve.fromBigInteger(BigInteger.valueOf(3)); + var gamma = this.x.square().multiply(THREE).add(this.curve.a).divide(this.y.multiply(TWO)); + + var x3 = gamma.square().subtract(this.x.multiply(TWO)); + var y3 = gamma.multiply(this.x.subtract(x3)).subtract(this.y); + + return new ECPointFp(this.curve, x3, y3); +}; + +ECPointFp.prototype.multiply2D = function (k) { + if(this.isInfinity()) return this; + if(k.signum() == 0) return this.curve.getInfinity(); + + var e = k; + var h = e.multiply(new BigInteger("3")); + + var neg = this.negate(); + var R = this; + + var i; + for (i = h.bitLength() - 2; i > 0; --i) { + R = R.twice(); + + var hBit = h.testBit(i); + var eBit = e.testBit(i); + + if (hBit != eBit) { + R = R.add2D(hBit ? this : neg); + } + } + + return R; +}; + +ECPointFp.prototype.isOnCurve = function () { + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + var a = this.curve.getA().toBigInteger(); + var b = this.curve.getB().toBigInteger(); + var n = this.curve.getQ(); + var lhs = y.multiply(y).mod(n); + var rhs = x.multiply(x).multiply(x) + .add(a.multiply(x)).add(b).mod(n); + return lhs.equals(rhs); +}; + +ECPointFp.prototype.toString = function () { + return '('+this.getX().toBigInteger().toString()+','+ + this.getY().toBigInteger().toString()+')'; +}; + +/** + * Validate an elliptic curve point. + * + * See SEC 1, section 3.2.2.1: Elliptic Curve Public Key Validation Primitive + */ +ECPointFp.prototype.validate = function () { + var n = this.curve.getQ(); + + // Check Q != O + if (this.isInfinity()) { + throw new Error("Point is at infinity."); + } + + // Check coordinate bounds + var x = this.getX().toBigInteger(); + var y = this.getY().toBigInteger(); + if (x.compareTo(BigInteger.ONE) < 0 || + x.compareTo(n.subtract(BigInteger.ONE)) > 0) { + throw new Error('x coordinate out of bounds'); + } + if (y.compareTo(BigInteger.ONE) < 0 || + y.compareTo(n.subtract(BigInteger.ONE)) > 0) { + throw new Error('y coordinate out of bounds'); + } + + // Check y^2 = x^3 + ax + b (mod n) + if (!this.isOnCurve()) { + throw new Error("Point is not on the curve."); + } + + // Check nQ = 0 (Q is a scalar multiple of G) + if (this.multiply(n).isInfinity()) { + // TODO: This check doesn't work - fix. + throw new Error("Point is not a scalar multiple of G."); + } + + return true; +}; + +function dmp(v) { + if (!(v instanceof BigInteger)) v = v.toBigInteger(); + return Crypto.util.bytesToHex(v.toByteArrayUnsigned()); +}; + +Bitcoin.ECDSA = (function () { + var ecparams = getSECCurveByName("secp256k1"); + var rng = new SecureRandom(); + + var P_OVER_FOUR = null; + + function implShamirsTrick(P, k, Q, l) + { + var m = Math.max(k.bitLength(), l.bitLength()); + var Z = P.add2D(Q); + var R = P.curve.getInfinity(); + + for (var i = m - 1; i >= 0; --i) { + R = R.twice2D(); + + R.z = BigInteger.ONE; + + if (k.testBit(i)) { + if (l.testBit(i)) { + R = R.add2D(Z); + } else { + R = R.add2D(P); + } + } else { + if (l.testBit(i)) { + R = R.add2D(Q); + } + } + } + + return R; + }; + + var ECDSA = { + getBigRandom: function (limit) { + return new BigInteger(limit.bitLength(), rng) + .mod(limit.subtract(BigInteger.ONE)) + .add(BigInteger.ONE) + ; + }, + sign: function (hash, priv) { + var d = priv; + var n = ecparams.getN(); + var e = BigInteger.fromByteArrayUnsigned(hash); + + do { + var k = ECDSA.getBigRandom(n); + var G = ecparams.getG(); + var Q = G.multiply(k); + var r = Q.getX().toBigInteger().mod(n); + } while (r.compareTo(BigInteger.ZERO) <= 0); + + var s = k.modInverse(n).multiply(e.add(d.multiply(r))).mod(n); + + return ECDSA.serializeSig(r, s); + }, + + verify: function (hash, sig, pubkey) { + var r,s; + if (Bitcoin.Util.isArray(sig)) { + var obj = ECDSA.parseSig(sig); + r = obj.r; + s = obj.s; + } else if ("object" === typeof sig && sig.r && sig.s) { + r = sig.r; + s = sig.s; + } else { + throw "Invalid value for signature"; + } + + var Q; + if (pubkey instanceof ECPointFp) { + Q = pubkey; + } else if (Bitcoin.Util.isArray(pubkey)) { + Q = ECPointFp.decodeFrom(ecparams.getCurve(), pubkey); + } else { + throw "Invalid format for pubkey value, must be byte array or ECPointFp"; + } + var e = BigInteger.fromByteArrayUnsigned(hash); + + return ECDSA.verifyRaw(e, r, s, Q); + }, + + verifyRaw: function (e, r, s, Q) { + var n = ecparams.getN(); + var G = ecparams.getG(); + + if (r.compareTo(BigInteger.ONE) < 0 || + r.compareTo(n) >= 0) + return false; + + if (s.compareTo(BigInteger.ONE) < 0 || + s.compareTo(n) >= 0) + return false; + + var c = s.modInverse(n); + + var u1 = e.multiply(c).mod(n); + var u2 = r.multiply(c).mod(n); + + // TODO(!!!): For some reason Shamir's trick isn't working with + // signed message verification!? Probably an implementation + // error! + //var point = implShamirsTrick(G, u1, Q, u2); + var point = G.multiply(u1).add(Q.multiply(u2)); + + var v = point.getX().toBigInteger().mod(n); + + return v.equals(r); + }, + + /** + * Serialize a signature into DER format. + * + * Takes two BigIntegers representing r and s and returns a byte array. + */ + serializeSig: function (r, s) { + var rBa = r.toByteArraySigned(); + var sBa = s.toByteArraySigned(); + + var sequence = []; + sequence.push(0x02); // INTEGER + sequence.push(rBa.length); + sequence = sequence.concat(rBa); + + sequence.push(0x02); // INTEGER + sequence.push(sBa.length); + sequence = sequence.concat(sBa); + + sequence.unshift(sequence.length); + sequence.unshift(0x30); // SEQUENCE + + return sequence; + }, + + /** + * Parses a byte array containing a DER-encoded signature. + * + * This function will return an object of the form: + * + * { + * r: BigInteger, + * s: BigInteger + * } + */ + parseSig: function (sig) { + var cursor; + if (sig[0] != 0x30) + throw new Error("Signature not a valid DERSequence"); + + cursor = 2; + if (sig[cursor] != 0x02) + throw new Error("First element in signature must be a DERInteger");; + var rBa = sig.slice(cursor+2, cursor+2+sig[cursor+1]); + + cursor += 2+sig[cursor+1]; + if (sig[cursor] != 0x02) + throw new Error("Second element in signature must be a DERInteger"); + var sBa = sig.slice(cursor+2, cursor+2+sig[cursor+1]); + + cursor += 2+sig[cursor+1]; + + //if (cursor != sig.length) + // throw new Error("Extra bytes in signature"); + + var r = BigInteger.fromByteArrayUnsigned(rBa); + var s = BigInteger.fromByteArrayUnsigned(sBa); + + return {r: r, s: s}; + }, + + parseSigCompact: function (sig) { + if (sig.length !== 65) { + throw "Signature has the wrong length"; + } + + // Signature is prefixed with a type byte storing three bits of + // information. + var i = sig[0] - 27; + if (i < 0 || i > 7) { + throw "Invalid signature type"; + } + + var n = ecparams.getN(); + var r = BigInteger.fromByteArrayUnsigned(sig.slice(1, 33)).mod(n); + var s = BigInteger.fromByteArrayUnsigned(sig.slice(33, 65)).mod(n); + + return {r: r, s: s, i: i}; + }, + + /** + * Recover a public key from a signature. + * + * See SEC 1: Elliptic Curve Cryptography, section 4.1.6, "Public + * Key Recovery Operation". + * + * http://www.secg.org/download/aid-780/sec1-v2.pdf + */ + recoverPubKey: function (r, s, hash, i) { + // The recovery parameter i has two bits. + i = i & 3; + + // The less significant bit specifies whether the y coordinate + // of the compressed point is even or not. + var isYEven = i & 1; + + // The more significant bit specifies whether we should use the + // first or second candidate key. + var isSecondKey = i >> 1; + + var n = ecparams.getN(); + var G = ecparams.getG(); + var curve = ecparams.getCurve(); + var p = curve.getQ(); + var a = curve.getA().toBigInteger(); + var b = curve.getB().toBigInteger(); + + // We precalculate (p + 1) / 4 where p is if the field order + if (!P_OVER_FOUR) { + P_OVER_FOUR = p.add(BigInteger.ONE).divide(BigInteger.valueOf(4)); + } + + // 1.1 Compute x + var x = isSecondKey ? r.add(n) : r; + + // 1.3 Convert x to point + var alpha = x.multiply(x).multiply(x).add(a.multiply(x)).add(b).mod(p); + var beta = alpha.modPow(P_OVER_FOUR, p); + + var xorOdd = beta.isEven() ? (i % 2) : ((i+1) % 2); + // If beta is even, but y isn't or vice versa, then convert it, + // otherwise we're done and y == beta. + var y = (beta.isEven() ? !isYEven : isYEven) ? beta : p.subtract(beta); + + // 1.4 Check that nR is at infinity + var R = new ECPointFp(curve, + curve.fromBigInteger(x), + curve.fromBigInteger(y)); + R.validate(); + + // 1.5 Compute e from M + var e = BigInteger.fromByteArrayUnsigned(hash); + var eNeg = BigInteger.ZERO.subtract(e).mod(n); + + // 1.6 Compute Q = r^-1 (sR - eG) + var rInv = r.modInverse(n); + var Q = implShamirsTrick(R, s, G, eNeg).multiply(rInv); + + Q.validate(); + if (!ECDSA.verifyRaw(e, r, s, Q)) { + throw "Pubkey recovery unsuccessful"; + } + + var pubKey = new Bitcoin.ECKey(); + pubKey.pub = Q; + return pubKey; + }, + + /** + * Calculate pubkey extraction parameter. + * + * When extracting a pubkey from a signature, we have to + * distinguish four different cases. Rather than putting this + * burden on the verifier, Bitcoin includes a 2-bit value with the + * signature. + * + * This function simply tries all four cases and returns the value + * that resulted in a successful pubkey recovery. + */ + calcPubkeyRecoveryParam: function (address, r, s, hash) + { + for (var i = 0; i < 4; i++) { + try { + var pubkey = Bitcoin.ECDSA.recoverPubKey(r, s, hash, i); + if (pubkey.getBitcoinAddress().toString() == address) { + return i; + } + } catch (e) {} + } + throw "Unable to find valid recovery factor"; + } + }; + + return ECDSA; +})(); diff --git a/browser/eckey.js b/browser/eckey.js new file mode 100644 index 000000000..b9a695bd6 --- /dev/null +++ b/browser/eckey.js @@ -0,0 +1,134 @@ +Bitcoin.ECKey = (function () { + var ECDSA = Bitcoin.ECDSA; + var ecparams = getSECCurveByName("secp256k1"); + var rng = new SecureRandom(); + + var ECKey = function (input) { + if (!input) { + // Generate new key + var n = ecparams.getN(); + this.priv = ECDSA.getBigRandom(n); + } else if (input instanceof BigInteger) { + // Input is a private key value + this.priv = input; + } else if (Bitcoin.Util.isArray(input)) { + // Prepend zero byte to prevent interpretation as negative integer + this.priv = BigInteger.fromByteArrayUnsigned(input); + } else if ("string" == typeof input) { + if (input.length == 51 && input[0] == '5') { + // Base58 encoded private key + this.priv = BigInteger.fromByteArrayUnsigned(ECKey.decodeString(input)); + } else { + // Prepend zero byte to prevent interpretation as negative integer + this.priv = BigInteger.fromByteArrayUnsigned(Crypto.util.base64ToBytes(input)); + } + } + this.compressed = !!ECKey.compressByDefault; + }; + + /** + * Whether public keys should be returned compressed by default. + */ + ECKey.compressByDefault = false; + + /** + * Set whether the public key should be returned compressed or not. + */ + ECKey.prototype.setCompressed = function (v) { + this.compressed = !!v; + }; + + /** + * Return public key in DER encoding. + */ + ECKey.prototype.getPub = function () { + return this.getPubPoint().getEncoded(this.compressed); + }; + + /** + * Return public point as ECPoint object. + */ + ECKey.prototype.getPubPoint = function () { + if (!this.pub) this.pub = ecparams.getG().multiply(this.priv); + + return this.pub; + }; + + /** + * Get the pubKeyHash for this key. + * + * This is calculated as RIPE160(SHA256([encoded pubkey])) and returned as + * a byte array. + */ + ECKey.prototype.getPubKeyHash = function () { + if (this.pubKeyHash) return this.pubKeyHash; + + return this.pubKeyHash = Bitcoin.Util.sha256ripe160(this.getPub()); + }; + + ECKey.prototype.getBitcoinAddress = function () { + var hash = this.getPubKeyHash(); + var addr = new Bitcoin.Address(hash); + return addr; + }; + + ECKey.prototype.getExportedPrivateKey = function () { + var hash = this.priv.toByteArrayUnsigned(); + while (hash.length < 32) hash.unshift(0); + hash.unshift(0x80); + var checksum = Crypto.SHA256(Crypto.SHA256(hash, {asBytes: true}), {asBytes: true}); + var bytes = hash.concat(checksum.slice(0,4)); + return Bitcoin.Base58.encode(bytes); + }; + + ECKey.prototype.setPub = function (pub) { + this.pub = ECPointFp.decodeFrom(ecparams.getCurve(), pub); + }; + + ECKey.prototype.toString = function (format) { + if (format === "base64") { + return Crypto.util.bytesToBase64(this.priv.toByteArrayUnsigned()); + } else { + return Crypto.util.bytesToHex(this.priv.toByteArrayUnsigned()); + } + }; + + ECKey.prototype.sign = function (hash) { + return ECDSA.sign(hash, this.priv); + }; + + ECKey.prototype.verify = function (hash, sig) { + return ECDSA.verify(hash, sig, this.getPub()); + }; + + /** + * Parse an exported private key contained in a string. + */ + ECKey.decodeString = function (string) { + var bytes = Bitcoin.Base58.decode(string); + + var hash = bytes.slice(0, 33); + + var checksum = Crypto.SHA256(Crypto.SHA256(hash, {asBytes: true}), {asBytes: true}); + + if (checksum[0] != bytes[33] || + checksum[1] != bytes[34] || + checksum[2] != bytes[35] || + checksum[3] != bytes[36]) { + throw "Checksum validation failed!"; + } + + var version = hash.shift(); + + if (version != 0x80) { + throw "Version "+version+" not supported!"; + } + + return hash; + }; + + return ECKey; +})(); + + +module.exports.ECKey = Bitcoin.ECKey; diff --git a/browser/jsbn.js b/browser/jsbn.js new file mode 100644 index 000000000..40bb9e2b9 --- /dev/null +++ b/browser/jsbn.js @@ -0,0 +1,559 @@ +// Copyright (c) 2005 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Basic JavaScript BN library - subset useful for RSA encryption. + +// Bits per digit +var dbits; + +// JavaScript engine analysis +var canary = 0xdeadbeefcafe; +var j_lm = ((canary&0xffffff)==0xefcafe); + +// (public) Constructor +function BigInteger(a,b,c) { + if(a != null) + if("number" == typeof a) this.fromNumber(a,b,c); + else if(b == null && "string" != typeof a) this.fromString(a,256); + else this.fromString(a,b); +} + +// return new, unset BigInteger +function nbi() { return new BigInteger(null); } + +// am: Compute w_j += (x*this_i), propagate carries, +// c is initial carry, returns final carry. +// c < 3*dvalue, x < 2*dvalue, this_i < dvalue +// We need to select the fastest one that works in this environment. + +// am1: use a single mult and divide to get the high bits, +// max digit bits should be 26 because +// max internal value = 2*dvalue^2-2*dvalue (< 2^53) +function am1(i,x,w,j,c,n) { + while(--n >= 0) { + var v = x*this[i++]+w[j]+c; + c = Math.floor(v/0x4000000); + w[j++] = v&0x3ffffff; + } + return c; +} +// am2 avoids a big mult-and-extract completely. +// Max digit bits should be <= 30 because we do bitwise ops +// on values up to 2*hdvalue^2-hdvalue-1 (< 2^31) +function am2(i,x,w,j,c,n) { + var xl = x&0x7fff, xh = x>>15; + while(--n >= 0) { + var l = this[i]&0x7fff; + var h = this[i++]>>15; + var m = xh*l+h*xl; + l = xl*l+((m&0x7fff)<<15)+w[j]+(c&0x3fffffff); + c = (l>>>30)+(m>>>15)+xh*h+(c>>>30); + w[j++] = l&0x3fffffff; + } + return c; +} +// Alternately, set max digit bits to 28 since some +// browsers slow down when dealing with 32-bit numbers. +function am3(i,x,w,j,c,n) { + var xl = x&0x3fff, xh = x>>14; + while(--n >= 0) { + var l = this[i]&0x3fff; + var h = this[i++]>>14; + var m = xh*l+h*xl; + l = xl*l+((m&0x3fff)<<14)+w[j]+c; + c = (l>>28)+(m>>14)+xh*h; + w[j++] = l&0xfffffff; + } + return c; +} +if(j_lm && (navigator.appName == "Microsoft Internet Explorer")) { + BigInteger.prototype.am = am2; + dbits = 30; +} +else if(j_lm && (navigator.appName != "Netscape")) { + BigInteger.prototype.am = am1; + dbits = 26; +} +else { // Mozilla/Netscape seems to prefer am3 + BigInteger.prototype.am = am3; + dbits = 28; +} + +BigInteger.prototype.DB = dbits; +BigInteger.prototype.DM = ((1<= 0; --i) r[i] = this[i]; + r.t = this.t; + r.s = this.s; +} + +// (protected) set from integer value x, -DV <= x < DV +function bnpFromInt(x) { + this.t = 1; + this.s = (x<0)?-1:0; + if(x > 0) this[0] = x; + else if(x < -1) this[0] = x+DV; + else this.t = 0; +} + +// return bigint initialized to value +function nbv(i) { var r = nbi(); r.fromInt(i); return r; } + +// (protected) set from string and radix +function bnpFromString(s,b) { + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 256) k = 8; // byte array + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else { this.fromRadix(s,b); return; } + this.t = 0; + this.s = 0; + var i = s.length, mi = false, sh = 0; + while(--i >= 0) { + var x = (k==8)?s[i]&0xff:intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-") mi = true; + continue; + } + mi = false; + if(sh == 0) + this[this.t++] = x; + else if(sh+k > this.DB) { + this[this.t-1] |= (x&((1<<(this.DB-sh))-1))<>(this.DB-sh)); + } + else + this[this.t-1] |= x<= this.DB) sh -= this.DB; + } + if(k == 8 && (s[0]&0x80) != 0) { + this.s = -1; + if(sh > 0) this[this.t-1] |= ((1<<(this.DB-sh))-1)< 0 && this[this.t-1] == c) --this.t; +} + +// (public) return string representation in given radix +function bnToString(b) { + if(this.s < 0) return "-"+this.negate().toString(b); + var k; + if(b == 16) k = 4; + else if(b == 8) k = 3; + else if(b == 2) k = 1; + else if(b == 32) k = 5; + else if(b == 4) k = 2; + else return this.toRadix(b); + var km = (1< 0) { + if(p < this.DB && (d = this[i]>>p) > 0) { m = true; r = int2char(d); } + while(i >= 0) { + if(p < k) { + d = (this[i]&((1<>(p+=this.DB-k); + } + else { + d = (this[i]>>(p-=k))&km; + if(p <= 0) { p += this.DB; --i; } + } + if(d > 0) m = true; + if(m) r += int2char(d); + } + } + return m?r:"0"; +} + +// (public) -this +function bnNegate() { var r = nbi(); BigInteger.ZERO.subTo(this,r); return r; } + +// (public) |this| +function bnAbs() { return (this.s<0)?this.negate():this; } + +// (public) return + if this > a, - if this < a, 0 if equal +function bnCompareTo(a) { + var r = this.s-a.s; + if(r != 0) return r; + var i = this.t; + r = i-a.t; + if(r != 0) return (this.s<0)?-r:r; + while(--i >= 0) if((r=this[i]-a[i]) != 0) return r; + return 0; +} + +// returns bit length of the integer x +function nbits(x) { + var r = 1, t; + if((t=x>>>16) != 0) { x = t; r += 16; } + if((t=x>>8) != 0) { x = t; r += 8; } + if((t=x>>4) != 0) { x = t; r += 4; } + if((t=x>>2) != 0) { x = t; r += 2; } + if((t=x>>1) != 0) { x = t; r += 1; } + return r; +} + +// (public) return the number of bits in "this" +function bnBitLength() { + if(this.t <= 0) return 0; + return this.DB*(this.t-1)+nbits(this[this.t-1]^(this.s&this.DM)); +} + +// (protected) r = this << n*DB +function bnpDLShiftTo(n,r) { + var i; + for(i = this.t-1; i >= 0; --i) r[i+n] = this[i]; + for(i = n-1; i >= 0; --i) r[i] = 0; + r.t = this.t+n; + r.s = this.s; +} + +// (protected) r = this >> n*DB +function bnpDRShiftTo(n,r) { + for(var i = n; i < this.t; ++i) r[i-n] = this[i]; + r.t = Math.max(this.t-n,0); + r.s = this.s; +} + +// (protected) r = this << n +function bnpLShiftTo(n,r) { + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<= 0; --i) { + r[i+ds+1] = (this[i]>>cbs)|c; + c = (this[i]&bm)<= 0; --i) r[i] = 0; + r[ds] = c; + r.t = this.t+ds+1; + r.s = this.s; + r.clamp(); +} + +// (protected) r = this >> n +function bnpRShiftTo(n,r) { + r.s = this.s; + var ds = Math.floor(n/this.DB); + if(ds >= this.t) { r.t = 0; return; } + var bs = n%this.DB; + var cbs = this.DB-bs; + var bm = (1<>bs; + for(var i = ds+1; i < this.t; ++i) { + r[i-ds-1] |= (this[i]&bm)<>bs; + } + if(bs > 0) r[this.t-ds-1] |= (this.s&bm)<>= this.DB; + } + if(a.t < this.t) { + c -= a.s; + while(i < this.t) { + c += this[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c -= a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c -= a.s; + } + r.s = (c<0)?-1:0; + if(c < -1) r[i++] = this.DV+c; + else if(c > 0) r[i++] = c; + r.t = i; + r.clamp(); +} + +// (protected) r = this * a, r != this,a (HAC 14.12) +// "this" should be the larger one if appropriate. +function bnpMultiplyTo(a,r) { + var x = this.abs(), y = a.abs(); + var i = x.t; + r.t = i+y.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < y.t; ++i) r[i+x.t] = x.am(0,y[i],r,i,0,x.t); + r.s = 0; + r.clamp(); + if(this.s != a.s) BigInteger.ZERO.subTo(r,r); +} + +// (protected) r = this^2, r != this (HAC 14.16) +function bnpSquareTo(r) { + var x = this.abs(); + var i = r.t = 2*x.t; + while(--i >= 0) r[i] = 0; + for(i = 0; i < x.t-1; ++i) { + var c = x.am(i,x[i],r,2*i,0,1); + if((r[i+x.t]+=x.am(i+1,2*x[i],r,2*i+1,c,x.t-i-1)) >= x.DV) { + r[i+x.t] -= x.DV; + r[i+x.t+1] = 1; + } + } + if(r.t > 0) r[r.t-1] += x.am(i,x[i],r,2*i,0,1); + r.s = 0; + r.clamp(); +} + +// (protected) divide this by m, quotient and remainder to q, r (HAC 14.20) +// r != q, this != m. q or r may be null. +function bnpDivRemTo(m,q,r) { + var pm = m.abs(); + if(pm.t <= 0) return; + var pt = this.abs(); + if(pt.t < pm.t) { + if(q != null) q.fromInt(0); + if(r != null) this.copyTo(r); + return; + } + if(r == null) r = nbi(); + var y = nbi(), ts = this.s, ms = m.s; + var nsh = this.DB-nbits(pm[pm.t-1]); // normalize modulus + if(nsh > 0) { pm.lShiftTo(nsh,y); pt.lShiftTo(nsh,r); } + else { pm.copyTo(y); pt.copyTo(r); } + var ys = y.t; + var y0 = y[ys-1]; + if(y0 == 0) return; + var yt = y0*(1<1)?y[ys-2]>>this.F2:0); + var d1 = this.FV/yt, d2 = (1<= 0) { + r[r.t++] = 1; + r.subTo(t,r); + } + BigInteger.ONE.dlShiftTo(ys,t); + t.subTo(y,y); // "negative" y so we can replace sub with am later + while(y.t < ys) y[y.t++] = 0; + while(--j >= 0) { + // Estimate quotient digit + var qd = (r[--i]==y0)?this.DM:Math.floor(r[i]*d1+(r[i-1]+e)*d2); + if((r[i]+=y.am(0,qd,r,j,0,ys)) < qd) { // Try it out + y.dlShiftTo(j,t); + r.subTo(t,r); + while(r[i] < --qd) r.subTo(t,r); + } + } + if(q != null) { + r.drShiftTo(ys,q); + if(ts != ms) BigInteger.ZERO.subTo(q,q); + } + r.t = ys; + r.clamp(); + if(nsh > 0) r.rShiftTo(nsh,r); // Denormalize remainder + if(ts < 0) BigInteger.ZERO.subTo(r,r); +} + +// (public) this mod a +function bnMod(a) { + var r = nbi(); + this.abs().divRemTo(a,null,r); + if(this.s < 0 && r.compareTo(BigInteger.ZERO) > 0) a.subTo(r,r); + return r; +} + +// Modular reduction using "classic" algorithm +function Classic(m) { this.m = m; } +function cConvert(x) { + if(x.s < 0 || x.compareTo(this.m) >= 0) return x.mod(this.m); + else return x; +} +function cRevert(x) { return x; } +function cReduce(x) { x.divRemTo(this.m,null,x); } +function cMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } +function cSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +Classic.prototype.convert = cConvert; +Classic.prototype.revert = cRevert; +Classic.prototype.reduce = cReduce; +Classic.prototype.mulTo = cMulTo; +Classic.prototype.sqrTo = cSqrTo; + +// (protected) return "-1/this % 2^DB"; useful for Mont. reduction +// justification: +// xy == 1 (mod m) +// xy = 1+km +// xy(2-xy) = (1+km)(1-km) +// x[y(2-xy)] = 1-k^2m^2 +// x[y(2-xy)] == 1 (mod m^2) +// if y is 1/x mod m, then y(2-xy) is 1/x mod m^2 +// should reduce x and y(2-xy) by m^2 at each step to keep size bounded. +// JS multiply "overflows" differently from C/C++, so care is needed here. +function bnpInvDigit() { + if(this.t < 1) return 0; + var x = this[0]; + if((x&1) == 0) return 0; + var y = x&3; // y == 1/x mod 2^2 + y = (y*(2-(x&0xf)*y))&0xf; // y == 1/x mod 2^4 + y = (y*(2-(x&0xff)*y))&0xff; // y == 1/x mod 2^8 + y = (y*(2-(((x&0xffff)*y)&0xffff)))&0xffff; // y == 1/x mod 2^16 + // last step - calculate inverse mod DV directly; + // assumes 16 < DB <= 32 and assumes ability to handle 48-bit ints + y = (y*(2-x*y%this.DV))%this.DV; // y == 1/x mod 2^dbits + // we really want the negative inverse, and -DV < y < DV + return (y>0)?this.DV-y:-y; +} + +// Montgomery reduction +function Montgomery(m) { + this.m = m; + this.mp = m.invDigit(); + this.mpl = this.mp&0x7fff; + this.mph = this.mp>>15; + this.um = (1<<(m.DB-15))-1; + this.mt2 = 2*m.t; +} + +// xR mod m +function montConvert(x) { + var r = nbi(); + x.abs().dlShiftTo(this.m.t,r); + r.divRemTo(this.m,null,r); + if(x.s < 0 && r.compareTo(BigInteger.ZERO) > 0) this.m.subTo(r,r); + return r; +} + +// x/R mod m +function montRevert(x) { + var r = nbi(); + x.copyTo(r); + this.reduce(r); + return r; +} + +// x = x/R mod m (HAC 14.32) +function montReduce(x) { + while(x.t <= this.mt2) // pad x so am has enough room later + x[x.t++] = 0; + for(var i = 0; i < this.m.t; ++i) { + // faster way of calculating u0 = x[i]*mp mod DV + var j = x[i]&0x7fff; + var u0 = (j*this.mpl+(((j*this.mph+(x[i]>>15)*this.mpl)&this.um)<<15))&x.DM; + // use am to combine the multiply-shift-add into one call + j = i+this.m.t; + x[j] += this.m.am(0,u0,x,i,0,this.m.t); + // propagate carry + while(x[j] >= x.DV) { x[j] -= x.DV; x[++j]++; } + } + x.clamp(); + x.drShiftTo(this.m.t,x); + if(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = "x^2/R mod m"; x != r +function montSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = "xy/R mod m"; x,y != r +function montMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Montgomery.prototype.convert = montConvert; +Montgomery.prototype.revert = montRevert; +Montgomery.prototype.reduce = montReduce; +Montgomery.prototype.mulTo = montMulTo; +Montgomery.prototype.sqrTo = montSqrTo; + +// (protected) true iff this is even +function bnpIsEven() { return ((this.t>0)?(this[0]&1):this.s) == 0; } + +// (protected) this^e, e < 2^32, doing sqr and mul with "r" (HAC 14.79) +function bnpExp(e,z) { + if(e > 0xffffffff || e < 1) return BigInteger.ONE; + var r = nbi(), r2 = nbi(), g = z.convert(this), i = nbits(e)-1; + g.copyTo(r); + while(--i >= 0) { + z.sqrTo(r,r2); + if((e&(1< 0) z.mulTo(r2,g,r); + else { var t = r; r = r2; r2 = t; } + } + return z.revert(r); +} + +// (public) this^e % m, 0 <= e < 2^32 +function bnModPowInt(e,m) { + var z; + if(e < 256 || m.isEven()) z = new Classic(m); else z = new Montgomery(m); + return this.exp(e,z); +} + +// protected +BigInteger.prototype.copyTo = bnpCopyTo; +BigInteger.prototype.fromInt = bnpFromInt; +BigInteger.prototype.fromString = bnpFromString; +BigInteger.prototype.clamp = bnpClamp; +BigInteger.prototype.dlShiftTo = bnpDLShiftTo; +BigInteger.prototype.drShiftTo = bnpDRShiftTo; +BigInteger.prototype.lShiftTo = bnpLShiftTo; +BigInteger.prototype.rShiftTo = bnpRShiftTo; +BigInteger.prototype.subTo = bnpSubTo; +BigInteger.prototype.multiplyTo = bnpMultiplyTo; +BigInteger.prototype.squareTo = bnpSquareTo; +BigInteger.prototype.divRemTo = bnpDivRemTo; +BigInteger.prototype.invDigit = bnpInvDigit; +BigInteger.prototype.isEven = bnpIsEven; +BigInteger.prototype.exp = bnpExp; + +// public +BigInteger.prototype.toString = bnToString; +BigInteger.prototype.negate = bnNegate; +BigInteger.prototype.abs = bnAbs; +BigInteger.prototype.compareTo = bnCompareTo; +BigInteger.prototype.bitLength = bnBitLength; +BigInteger.prototype.mod = bnMod; +BigInteger.prototype.modPowInt = bnModPowInt; + +// "constants" +BigInteger.ZERO = nbv(0); +BigInteger.ONE = nbv(1); diff --git a/browser/jsbn2.js b/browser/jsbn2.js new file mode 100644 index 000000000..5b2b725c4 --- /dev/null +++ b/browser/jsbn2.js @@ -0,0 +1,656 @@ +// Copyright (c) 2005-2009 Tom Wu +// All Rights Reserved. +// See "LICENSE" for details. + +// Extended JavaScript BN functions, required for RSA private ops. + +// Version 1.1: new BigInteger("0", 10) returns "proper" zero +// Version 1.2: square() API, isProbablePrime fix + +// (public) +function bnClone() { var r = nbi(); this.copyTo(r); return r; } + +// (public) return value as integer +function bnIntValue() { + if(this.s < 0) { + if(this.t == 1) return this[0]-this.DV; + else if(this.t == 0) return -1; + } + else if(this.t == 1) return this[0]; + else if(this.t == 0) return 0; + // assumes 16 < DB < 32 + return ((this[1]&((1<<(32-this.DB))-1))<>24; } + +// (public) return value as short (assumes DB>=16) +function bnShortValue() { return (this.t==0)?this.s:(this[0]<<16)>>16; } + +// (protected) return x s.t. r^x < DV +function bnpChunkSize(r) { return Math.floor(Math.LN2*this.DB/Math.log(r)); } + +// (public) 0 if this == 0, 1 if this > 0 +function bnSigNum() { + if(this.s < 0) return -1; + else if(this.t <= 0 || (this.t == 1 && this[0] <= 0)) return 0; + else return 1; +} + +// (protected) convert to radix string +function bnpToRadix(b) { + if(b == null) b = 10; + if(this.signum() == 0 || b < 2 || b > 36) return "0"; + var cs = this.chunkSize(b); + var a = Math.pow(b,cs); + var d = nbv(a), y = nbi(), z = nbi(), r = ""; + this.divRemTo(d,y,z); + while(y.signum() > 0) { + r = (a+z.intValue()).toString(b).substr(1) + r; + y.divRemTo(d,y,z); + } + return z.intValue().toString(b) + r; +} + +// (protected) convert from radix string +function bnpFromRadix(s,b) { + this.fromInt(0); + if(b == null) b = 10; + var cs = this.chunkSize(b); + var d = Math.pow(b,cs), mi = false, j = 0, w = 0; + for(var i = 0; i < s.length; ++i) { + var x = intAt(s,i); + if(x < 0) { + if(s.charAt(i) == "-" && this.signum() == 0) mi = true; + continue; + } + w = b*w+x; + if(++j >= cs) { + this.dMultiply(d); + this.dAddOffset(w,0); + j = 0; + w = 0; + } + } + if(j > 0) { + this.dMultiply(Math.pow(b,j)); + this.dAddOffset(w,0); + } + if(mi) BigInteger.ZERO.subTo(this,this); +} + +// (protected) alternate constructor +function bnpFromNumber(a,b,c) { + if("number" == typeof b) { + // new BigInteger(int,int,RNG) + if(a < 2) this.fromInt(1); + else { + this.fromNumber(a,c); + if(!this.testBit(a-1)) // force MSB set + this.bitwiseTo(BigInteger.ONE.shiftLeft(a-1),op_or,this); + if(this.isEven()) this.dAddOffset(1,0); // force odd + while(!this.isProbablePrime(b)) { + this.dAddOffset(2,0); + if(this.bitLength() > a) this.subTo(BigInteger.ONE.shiftLeft(a-1),this); + } + } + } + else { + // new BigInteger(int,RNG) + var x = new Array(), t = a&7; + x.length = (a>>3)+1; + b.nextBytes(x); + if(t > 0) x[0] &= ((1< 0) { + if(p < this.DB && (d = this[i]>>p) != (this.s&this.DM)>>p) + r[k++] = d|(this.s<<(this.DB-p)); + while(i >= 0) { + if(p < 8) { + d = (this[i]&((1<>(p+=this.DB-8); + } + else { + d = (this[i]>>(p-=8))&0xff; + if(p <= 0) { p += this.DB; --i; } + } + if((d&0x80) != 0) d |= -256; + if(k == 0 && (this.s&0x80) != (d&0x80)) ++k; + if(k > 0 || d != this.s) r[k++] = d; + } + } + return r; +} + +function bnEquals(a) { return(this.compareTo(a)==0); } +function bnMin(a) { return(this.compareTo(a)<0)?this:a; } +function bnMax(a) { return(this.compareTo(a)>0)?this:a; } + +// (protected) r = this op a (bitwise) +function bnpBitwiseTo(a,op,r) { + var i, f, m = Math.min(a.t,this.t); + for(i = 0; i < m; ++i) r[i] = op(this[i],a[i]); + if(a.t < this.t) { + f = a.s&this.DM; + for(i = m; i < this.t; ++i) r[i] = op(this[i],f); + r.t = this.t; + } + else { + f = this.s&this.DM; + for(i = m; i < a.t; ++i) r[i] = op(f,a[i]); + r.t = a.t; + } + r.s = op(this.s,a.s); + r.clamp(); +} + +// (public) this & a +function op_and(x,y) { return x&y; } +function bnAnd(a) { var r = nbi(); this.bitwiseTo(a,op_and,r); return r; } + +// (public) this | a +function op_or(x,y) { return x|y; } +function bnOr(a) { var r = nbi(); this.bitwiseTo(a,op_or,r); return r; } + +// (public) this ^ a +function op_xor(x,y) { return x^y; } +function bnXor(a) { var r = nbi(); this.bitwiseTo(a,op_xor,r); return r; } + +// (public) this & ~a +function op_andnot(x,y) { return x&~y; } +function bnAndNot(a) { var r = nbi(); this.bitwiseTo(a,op_andnot,r); return r; } + +// (public) ~this +function bnNot() { + var r = nbi(); + for(var i = 0; i < this.t; ++i) r[i] = this.DM&~this[i]; + r.t = this.t; + r.s = ~this.s; + return r; +} + +// (public) this << n +function bnShiftLeft(n) { + var r = nbi(); + if(n < 0) this.rShiftTo(-n,r); else this.lShiftTo(n,r); + return r; +} + +// (public) this >> n +function bnShiftRight(n) { + var r = nbi(); + if(n < 0) this.lShiftTo(-n,r); else this.rShiftTo(n,r); + return r; +} + +// return index of lowest 1-bit in x, x < 2^31 +function lbit(x) { + if(x == 0) return -1; + var r = 0; + if((x&0xffff) == 0) { x >>= 16; r += 16; } + if((x&0xff) == 0) { x >>= 8; r += 8; } + if((x&0xf) == 0) { x >>= 4; r += 4; } + if((x&3) == 0) { x >>= 2; r += 2; } + if((x&1) == 0) ++r; + return r; +} + +// (public) returns index of lowest 1-bit (or -1 if none) +function bnGetLowestSetBit() { + for(var i = 0; i < this.t; ++i) + if(this[i] != 0) return i*this.DB+lbit(this[i]); + if(this.s < 0) return this.t*this.DB; + return -1; +} + +// return number of 1 bits in x +function cbit(x) { + var r = 0; + while(x != 0) { x &= x-1; ++r; } + return r; +} + +// (public) return number of set bits +function bnBitCount() { + var r = 0, x = this.s&this.DM; + for(var i = 0; i < this.t; ++i) r += cbit(this[i]^x); + return r; +} + +// (public) true iff nth bit is set +function bnTestBit(n) { + var j = Math.floor(n/this.DB); + if(j >= this.t) return(this.s!=0); + return((this[j]&(1<<(n%this.DB)))!=0); +} + +// (protected) this op (1<>= this.DB; + } + if(a.t < this.t) { + c += a.s; + while(i < this.t) { + c += this[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += this.s; + } + else { + c += this.s; + while(i < a.t) { + c += a[i]; + r[i++] = c&this.DM; + c >>= this.DB; + } + c += a.s; + } + r.s = (c<0)?-1:0; + if(c > 0) r[i++] = c; + else if(c < -1) r[i++] = this.DV+c; + r.t = i; + r.clamp(); +} + +// (public) this + a +function bnAdd(a) { var r = nbi(); this.addTo(a,r); return r; } + +// (public) this - a +function bnSubtract(a) { var r = nbi(); this.subTo(a,r); return r; } + +// (public) this * a +function bnMultiply(a) { var r = nbi(); this.multiplyTo(a,r); return r; } + +// (public) this^2 +function bnSquare() { var r = nbi(); this.squareTo(r); return r; } + +// (public) this / a +function bnDivide(a) { var r = nbi(); this.divRemTo(a,r,null); return r; } + +// (public) this % a +function bnRemainder(a) { var r = nbi(); this.divRemTo(a,null,r); return r; } + +// (public) [this/a,this%a] +function bnDivideAndRemainder(a) { + var q = nbi(), r = nbi(); + this.divRemTo(a,q,r); + return new Array(q,r); +} + +// (protected) this *= n, this >= 0, 1 < n < DV +function bnpDMultiply(n) { + this[this.t] = this.am(0,n-1,this,0,0,this.t); + ++this.t; + this.clamp(); +} + +// (protected) this += n << w words, this >= 0 +function bnpDAddOffset(n,w) { + if(n == 0) return; + while(this.t <= w) this[this.t++] = 0; + this[w] += n; + while(this[w] >= this.DV) { + this[w] -= this.DV; + if(++w >= this.t) this[this.t++] = 0; + ++this[w]; + } +} + +// A "null" reducer +function NullExp() {} +function nNop(x) { return x; } +function nMulTo(x,y,r) { x.multiplyTo(y,r); } +function nSqrTo(x,r) { x.squareTo(r); } + +NullExp.prototype.convert = nNop; +NullExp.prototype.revert = nNop; +NullExp.prototype.mulTo = nMulTo; +NullExp.prototype.sqrTo = nSqrTo; + +// (public) this^e +function bnPow(e) { return this.exp(e,new NullExp()); } + +// (protected) r = lower n words of "this * a", a.t <= n +// "this" should be the larger one if appropriate. +function bnpMultiplyLowerTo(a,n,r) { + var i = Math.min(this.t+a.t,n); + r.s = 0; // assumes a,this >= 0 + r.t = i; + while(i > 0) r[--i] = 0; + var j; + for(j = r.t-this.t; i < j; ++i) r[i+this.t] = this.am(0,a[i],r,i,0,this.t); + for(j = Math.min(a.t,n); i < j; ++i) this.am(0,a[i],r,i,0,n-i); + r.clamp(); +} + +// (protected) r = "this * a" without lower n words, n > 0 +// "this" should be the larger one if appropriate. +function bnpMultiplyUpperTo(a,n,r) { + --n; + var i = r.t = this.t+a.t-n; + r.s = 0; // assumes a,this >= 0 + while(--i >= 0) r[i] = 0; + for(i = Math.max(n-this.t,0); i < a.t; ++i) + r[this.t+i-n] = this.am(n-i,a[i],r,0,0,this.t+i-n); + r.clamp(); + r.drShiftTo(1,r); +} + +// Barrett modular reduction +function Barrett(m) { + // setup Barrett + this.r2 = nbi(); + this.q3 = nbi(); + BigInteger.ONE.dlShiftTo(2*m.t,this.r2); + this.mu = this.r2.divide(m); + this.m = m; +} + +function barrettConvert(x) { + if(x.s < 0 || x.t > 2*this.m.t) return x.mod(this.m); + else if(x.compareTo(this.m) < 0) return x; + else { var r = nbi(); x.copyTo(r); this.reduce(r); return r; } +} + +function barrettRevert(x) { return x; } + +// x = x mod m (HAC 14.42) +function barrettReduce(x) { + x.drShiftTo(this.m.t-1,this.r2); + if(x.t > this.m.t+1) { x.t = this.m.t+1; x.clamp(); } + this.mu.multiplyUpperTo(this.r2,this.m.t+1,this.q3); + this.m.multiplyLowerTo(this.q3,this.m.t+1,this.r2); + while(x.compareTo(this.r2) < 0) x.dAddOffset(1,this.m.t+1); + x.subTo(this.r2,x); + while(x.compareTo(this.m) >= 0) x.subTo(this.m,x); +} + +// r = x^2 mod m; x != r +function barrettSqrTo(x,r) { x.squareTo(r); this.reduce(r); } + +// r = x*y mod m; x,y != r +function barrettMulTo(x,y,r) { x.multiplyTo(y,r); this.reduce(r); } + +Barrett.prototype.convert = barrettConvert; +Barrett.prototype.revert = barrettRevert; +Barrett.prototype.reduce = barrettReduce; +Barrett.prototype.mulTo = barrettMulTo; +Barrett.prototype.sqrTo = barrettSqrTo; + +// (public) this^e % m (HAC 14.85) +function bnModPow(e,m) { + var i = e.bitLength(), k, r = nbv(1), z; + if(i <= 0) return r; + else if(i < 18) k = 1; + else if(i < 48) k = 3; + else if(i < 144) k = 4; + else if(i < 768) k = 5; + else k = 6; + if(i < 8) + z = new Classic(m); + else if(m.isEven()) + z = new Barrett(m); + else + z = new Montgomery(m); + + // precomputation + var g = new Array(), n = 3, k1 = k-1, km = (1< 1) { + var g2 = nbi(); + z.sqrTo(g[1],g2); + while(n <= km) { + g[n] = nbi(); + z.mulTo(g2,g[n-2],g[n]); + n += 2; + } + } + + var j = e.t-1, w, is1 = true, r2 = nbi(), t; + i = nbits(e[j])-1; + while(j >= 0) { + if(i >= k1) w = (e[j]>>(i-k1))&km; + else { + w = (e[j]&((1<<(i+1))-1))<<(k1-i); + if(j > 0) w |= e[j-1]>>(this.DB+i-k1); + } + + n = k; + while((w&1) == 0) { w >>= 1; --n; } + if((i -= n) < 0) { i += this.DB; --j; } + if(is1) { // ret == 1, don't bother squaring or multiplying it + g[w].copyTo(r); + is1 = false; + } + else { + while(n > 1) { z.sqrTo(r,r2); z.sqrTo(r2,r); n -= 2; } + if(n > 0) z.sqrTo(r,r2); else { t = r; r = r2; r2 = t; } + z.mulTo(r2,g[w],r); + } + + while(j >= 0 && (e[j]&(1< 0) { + x.rShiftTo(g,x); + y.rShiftTo(g,y); + } + while(x.signum() > 0) { + if((i = x.getLowestSetBit()) > 0) x.rShiftTo(i,x); + if((i = y.getLowestSetBit()) > 0) y.rShiftTo(i,y); + if(x.compareTo(y) >= 0) { + x.subTo(y,x); + x.rShiftTo(1,x); + } + else { + y.subTo(x,y); + y.rShiftTo(1,y); + } + } + if(g > 0) y.lShiftTo(g,y); + return y; +} + +// (protected) this % n, n < 2^26 +function bnpModInt(n) { + if(n <= 0) return 0; + var d = this.DV%n, r = (this.s<0)?n-1:0; + if(this.t > 0) + if(d == 0) r = this[0]%n; + else for(var i = this.t-1; i >= 0; --i) r = (d*r+this[i])%n; + return r; +} + +// (public) 1/this % m (HAC 14.61) +function bnModInverse(m) { + var ac = m.isEven(); + if((this.isEven() && ac) || m.signum() == 0) return BigInteger.ZERO; + var u = m.clone(), v = this.clone(); + var a = nbv(1), b = nbv(0), c = nbv(0), d = nbv(1); + while(u.signum() != 0) { + while(u.isEven()) { + u.rShiftTo(1,u); + if(ac) { + if(!a.isEven() || !b.isEven()) { a.addTo(this,a); b.subTo(m,b); } + a.rShiftTo(1,a); + } + else if(!b.isEven()) b.subTo(m,b); + b.rShiftTo(1,b); + } + while(v.isEven()) { + v.rShiftTo(1,v); + if(ac) { + if(!c.isEven() || !d.isEven()) { c.addTo(this,c); d.subTo(m,d); } + c.rShiftTo(1,c); + } + else if(!d.isEven()) d.subTo(m,d); + d.rShiftTo(1,d); + } + if(u.compareTo(v) >= 0) { + u.subTo(v,u); + if(ac) a.subTo(c,a); + b.subTo(d,b); + } + else { + v.subTo(u,v); + if(ac) c.subTo(a,c); + d.subTo(b,d); + } + } + if(v.compareTo(BigInteger.ONE) != 0) return BigInteger.ZERO; + if(d.compareTo(m) >= 0) return d.subtract(m); + if(d.signum() < 0) d.addTo(m,d); else return d; + if(d.signum() < 0) return d.add(m); else return d; +} + +var lowprimes = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997]; +var lplim = (1<<26)/lowprimes[lowprimes.length-1]; + +// (public) test primality with certainty >= 1-.5^t +function bnIsProbablePrime(t) { + var i, x = this.abs(); + if(x.t == 1 && x[0] <= lowprimes[lowprimes.length-1]) { + for(i = 0; i < lowprimes.length; ++i) + if(x[0] == lowprimes[i]) return true; + return false; + } + if(x.isEven()) return false; + i = 1; + while(i < lowprimes.length) { + var m = lowprimes[i], j = i+1; + while(j < lowprimes.length && m < lplim) m *= lowprimes[j++]; + m = x.modInt(m); + while(i < j) if(m%lowprimes[i++] == 0) return false; + } + return x.millerRabin(t); +} + +// (protected) true if probably prime (HAC 4.24, Miller-Rabin) +function bnpMillerRabin(t) { + var n1 = this.subtract(BigInteger.ONE); + var k = n1.getLowestSetBit(); + if(k <= 0) return false; + var r = n1.shiftRight(k); + t = (t+1)>>1; + if(t > lowprimes.length) t = lowprimes.length; + var a = nbi(); + for(var i = 0; i < t; ++i) { + //Pick bases at random, instead of starting at 2 + a.fromInt(lowprimes[Math.floor(Math.random()*lowprimes.length)]); + var y = a.modPow(r,this); + if(y.compareTo(BigInteger.ONE) != 0 && y.compareTo(n1) != 0) { + var j = 1; + while(j++ < k && y.compareTo(n1) != 0) { + y = y.modPowInt(2,this); + if(y.compareTo(BigInteger.ONE) == 0) return false; + } + if(y.compareTo(n1) != 0) return false; + } + } + return true; +} + +// protected +BigInteger.prototype.chunkSize = bnpChunkSize; +BigInteger.prototype.toRadix = bnpToRadix; +BigInteger.prototype.fromRadix = bnpFromRadix; +BigInteger.prototype.fromNumber = bnpFromNumber; +BigInteger.prototype.bitwiseTo = bnpBitwiseTo; +BigInteger.prototype.changeBit = bnpChangeBit; +BigInteger.prototype.addTo = bnpAddTo; +BigInteger.prototype.dMultiply = bnpDMultiply; +BigInteger.prototype.dAddOffset = bnpDAddOffset; +BigInteger.prototype.multiplyLowerTo = bnpMultiplyLowerTo; +BigInteger.prototype.multiplyUpperTo = bnpMultiplyUpperTo; +BigInteger.prototype.modInt = bnpModInt; +BigInteger.prototype.millerRabin = bnpMillerRabin; + +// public +BigInteger.prototype.clone = bnClone; +BigInteger.prototype.intValue = bnIntValue; +BigInteger.prototype.byteValue = bnByteValue; +BigInteger.prototype.shortValue = bnShortValue; +BigInteger.prototype.signum = bnSigNum; +BigInteger.prototype.toByteArray = bnToByteArray; +BigInteger.prototype.equals = bnEquals; +BigInteger.prototype.min = bnMin; +BigInteger.prototype.max = bnMax; +BigInteger.prototype.and = bnAnd; +BigInteger.prototype.or = bnOr; +BigInteger.prototype.xor = bnXor; +BigInteger.prototype.andNot = bnAndNot; +BigInteger.prototype.not = bnNot; +BigInteger.prototype.shiftLeft = bnShiftLeft; +BigInteger.prototype.shiftRight = bnShiftRight; +BigInteger.prototype.getLowestSetBit = bnGetLowestSetBit; +BigInteger.prototype.bitCount = bnBitCount; +BigInteger.prototype.testBit = bnTestBit; +BigInteger.prototype.setBit = bnSetBit; +BigInteger.prototype.clearBit = bnClearBit; +BigInteger.prototype.flipBit = bnFlipBit; +BigInteger.prototype.add = bnAdd; +BigInteger.prototype.subtract = bnSubtract; +BigInteger.prototype.multiply = bnMultiply; +BigInteger.prototype.divide = bnDivide; +BigInteger.prototype.remainder = bnRemainder; +BigInteger.prototype.divideAndRemainder = bnDivideAndRemainder; +BigInteger.prototype.modPow = bnModPow; +BigInteger.prototype.modInverse = bnModInverse; +BigInteger.prototype.pow = bnPow; +BigInteger.prototype.gcd = bnGCD; +BigInteger.prototype.isProbablePrime = bnIsProbablePrime; + +// JSBN-specific extension +BigInteger.prototype.square = bnSquare; + +// BigInteger interfaces not implemented in jsbn: + +// BigInteger(int signum, byte[] magnitude) +// double doubleValue() +// float floatValue() +// int hashCode() +// long longValue() +// static BigInteger valueOf(long val) diff --git a/browser/navigator-adapter.js b/browser/navigator-adapter.js new file mode 100644 index 000000000..b1eb29d27 --- /dev/null +++ b/browser/navigator-adapter.js @@ -0,0 +1,7 @@ + + +if (typeof navigator === 'undefined') { + var navigator = {}; + navigator.appName = 'NodeJS'; + +} diff --git a/browser/prng4.js b/browser/prng4.js new file mode 100644 index 000000000..3034f3f11 --- /dev/null +++ b/browser/prng4.js @@ -0,0 +1,45 @@ +// prng4.js - uses Arcfour as a PRNG + +function Arcfour() { + this.i = 0; + this.j = 0; + this.S = new Array(); +} + +// Initialize arcfour context from key, an array of ints, each from [0..255] +function ARC4init(key) { + var i, j, t; + for(i = 0; i < 256; ++i) + this.S[i] = i; + j = 0; + for(i = 0; i < 256; ++i) { + j = (j + this.S[i] + key[i % key.length]) & 255; + t = this.S[i]; + this.S[i] = this.S[j]; + this.S[j] = t; + } + this.i = 0; + this.j = 0; +} + +function ARC4next() { + var t; + this.i = (this.i + 1) & 255; + this.j = (this.j + this.S[this.i]) & 255; + t = this.S[this.i]; + this.S[this.i] = this.S[this.j]; + this.S[this.j] = t; + return this.S[(t + this.S[this.i]) & 255]; +} + +Arcfour.prototype.init = ARC4init; +Arcfour.prototype.next = ARC4next; + +// Plug in your RNG constructor here +function prng_newstate() { + return new Arcfour(); +} + +// Pool size must be a multiple of 4 and greater than 32. +// An array of bytes the size of the pool will be passed to init() +var rng_psize = 256; diff --git a/browser/rng.js b/browser/rng.js new file mode 100644 index 000000000..03afc3a9f --- /dev/null +++ b/browser/rng.js @@ -0,0 +1,68 @@ +// Random number generator - requires a PRNG backend, e.g. prng4.js + +// For best results, put code like +// +// in your main HTML document. + +var rng_state; +var rng_pool; +var rng_pptr; + +// Mix in a 32-bit integer into the pool +function rng_seed_int(x) { + rng_pool[rng_pptr++] ^= x & 255; + rng_pool[rng_pptr++] ^= (x >> 8) & 255; + rng_pool[rng_pptr++] ^= (x >> 16) & 255; + rng_pool[rng_pptr++] ^= (x >> 24) & 255; + if(rng_pptr >= rng_psize) rng_pptr -= rng_psize; +} + +// Mix in the current time (w/milliseconds) into the pool +function rng_seed_time() { + rng_seed_int(new Date().getTime()); +} + +// Initialize the pool with junk if needed. +if(rng_pool == null) { + rng_pool = new Array(); + rng_pptr = 0; + var t; + if(navigator.appName == "Netscape" && navigator.appVersion < "5" && window.crypto) { + // Extract entropy (256 bits) from NS4 RNG if available + var z = window.crypto.random(32); + for(t = 0; t < z.length; ++t) + rng_pool[rng_pptr++] = z.charCodeAt(t) & 255; + } + while(rng_pptr < rng_psize) { // extract some randomness from Math.random() + t = Math.floor(65536 * Math.random()); + rng_pool[rng_pptr++] = t >>> 8; + rng_pool[rng_pptr++] = t & 255; + } + rng_pptr = 0; + rng_seed_time(); + //rng_seed_int(window.screenX); + //rng_seed_int(window.screenY); +} + +function rng_get_byte() { + if(rng_state == null) { + rng_seed_time(); + rng_state = prng_newstate(); + rng_state.init(rng_pool); + for(rng_pptr = 0; rng_pptr < rng_pool.length; ++rng_pptr) + rng_pool[rng_pptr] = 0; + rng_pptr = 0; + //rng_pool = null; + } + // TODO: allow reseeding after first request + return rng_state.next(); +} + +function rng_get_bytes(ba) { + var i; + for(i = 0; i < ba.length; ++i) ba[i] = rng_get_byte(); +} + +function SecureRandom() {} + +SecureRandom.prototype.nextBytes = rng_get_bytes; diff --git a/browser/sample.html b/browser/sample.html deleted file mode 100644 index b02b85da2..000000000 --- a/browser/sample.html +++ /dev/null @@ -1,12 +0,0 @@ - - - - - - - - - - diff --git a/browser/sec.js b/browser/sec.js new file mode 100644 index 000000000..e496571dc --- /dev/null +++ b/browser/sec.js @@ -0,0 +1,173 @@ +// Named EC curves + +// Requires ec.js, jsbn.js, and jsbn2.js + +// ---------------- +// X9ECParameters + +// constructor +function X9ECParameters(curve,g,n,h) { + this.curve = curve; + this.g = g; + this.n = n; + this.h = h; +} + +function x9getCurve() { + return this.curve; +} + +function x9getG() { + return this.g; +} + +function x9getN() { + return this.n; +} + +function x9getH() { + return this.h; +} + +X9ECParameters.prototype.getCurve = x9getCurve; +X9ECParameters.prototype.getG = x9getG; +X9ECParameters.prototype.getN = x9getN; +X9ECParameters.prototype.getH = x9getH; + +// ---------------- +// SECNamedCurves + +function fromHex(s) { return new BigInteger(s, 16); } + +function secp128r1() { + // p = 2^128 - 2^97 - 1 + var p = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFDFFFFFFFFFFFFFFFFFFFFFFFC"); + var b = fromHex("E87579C11079F43DD824993C2CEE5ED3"); + //byte[] S = Hex.decode("000E0D4D696E6768756151750CC03A4473D03679"); + var n = fromHex("FFFFFFFE0000000075A30D1B9038A115"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "161FF7528B899B2D0C28607CA52C5B86" + + "CF5AC8395BAFEB13C02DA292DDED7A83"); + return new X9ECParameters(curve, G, n, h); +} + +function secp160k1() { + // p = 2^160 - 2^32 - 2^14 - 2^12 - 2^9 - 2^8 - 2^7 - 2^3 - 2^2 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFAC73"); + var a = BigInteger.ZERO; + var b = fromHex("7"); + //byte[] S = null; + var n = fromHex("0100000000000000000001B8FA16DFAB9ACA16B6B3"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "3B4C382CE37AA192A4019E763036F4F5DD4D7EBB" + + "938CF935318FDCED6BC28286531733C3F03C4FEE"); + return new X9ECParameters(curve, G, n, h); +} + +function secp160r1() { + // p = 2^160 - 2^31 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC"); + var b = fromHex("1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45"); + //byte[] S = Hex.decode("1053CDE42C14D696E67687561517533BF3F83345"); + var n = fromHex("0100000000000000000001F4C8F927AED3CA752257"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "4A96B5688EF573284664698968C38BB913CBFC82" + + "23A628553168947D59DCC912042351377AC5FB32"); + return new X9ECParameters(curve, G, n, h); +} + +function secp192k1() { + // p = 2^192 - 2^32 - 2^12 - 2^8 - 2^7 - 2^6 - 2^3 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFEE37"); + var a = BigInteger.ZERO; + var b = fromHex("3"); + //byte[] S = null; + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8D"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "DB4FF10EC057E9AE26B07D0280B7F4341DA5D1B1EAE06C7D" + + "9B2F2F6D9C5628A7844163D015BE86344082AA88D95E2F9D"); + return new X9ECParameters(curve, G, n, h); +} + +function secp192r1() { + // p = 2^192 - 2^64 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC"); + var b = fromHex("64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"); + //byte[] S = Hex.decode("3045AE6FC8422F64ED579528D38120EAE12196D5"); + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012" + + "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"); + return new X9ECParameters(curve, G, n, h); +} + +function secp224r1() { + // p = 2^224 - 2^96 + 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"); + var a = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE"); + var b = fromHex("B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"); + //byte[] S = Hex.decode("BD71344799D5C7FCDC45B59FA3B9AB8F6A948BC5"); + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21" + + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"); + return new X9ECParameters(curve, G, n, h); +} + +function secp256k1() { + // p = 2^256 - 2^32 - 2^9 - 2^8 - 2^7 - 2^6 - 2^4 - 1 + var p = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F"); + var a = BigInteger.ZERO; + var b = fromHex("7"); + //byte[] S = null; + var n = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798" + + "483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8"); + return new X9ECParameters(curve, G, n, h); +} + +function secp256r1() { + // p = 2^224 (2^32 - 1) + 2^192 + 2^96 - 1 + var p = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"); + var a = fromHex("FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC"); + var b = fromHex("5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"); + //byte[] S = Hex.decode("C49D360886E704936A6678E1139D26B7819F7E90"); + var n = fromHex("FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"); + var h = BigInteger.ONE; + var curve = new ECCurveFp(p, a, b); + var G = curve.decodePointHex("04" + + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296" + + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"); + return new X9ECParameters(curve, G, n, h); +} + +// TODO: make this into a proper hashtable +function getSECCurveByName(name) { + if(name == "secp128r1") return secp128r1(); + if(name == "secp160k1") return secp160k1(); + if(name == "secp160r1") return secp160r1(); + if(name == "secp192k1") return secp192k1(); + if(name == "secp192r1") return secp192r1(); + if(name == "secp224r1") return secp224r1(); + if(name == "secp256k1") return secp256k1(); + if(name == "secp256r1") return secp256r1(); + return null; +} diff --git a/browser/util.js b/browser/util.js new file mode 100644 index 000000000..4c468a066 --- /dev/null +++ b/browser/util.js @@ -0,0 +1,228 @@ +// BigInteger monkey patching +BigInteger.valueOf = nbv; + +/** + * Returns a byte array representation of the big integer. + * + * This returns the absolute of the contained value in big endian + * form. A value of zero results in an empty array. + */ +BigInteger.prototype.toByteArrayUnsigned = function () { + var ba = this.abs().toByteArray(); + if (ba.length) { + if (ba[0] == 0) { + ba = ba.slice(1); + } + return ba.map(function (v) { + return (v < 0) ? v + 256 : v; + }); + } else { + // Empty array, nothing to do + return ba; + } +}; + +/** + * Turns a byte array into a big integer. + * + * This function will interpret a byte array as a big integer in big + * endian notation and ignore leading zeros. + */ +BigInteger.fromByteArrayUnsigned = function (ba) { + if (!ba.length) { + return ba.valueOf(0); + } else if (ba[0] & 0x80) { + // Prepend a zero so the BigInteger class doesn't mistake this + // for a negative integer. + return new BigInteger([0].concat(ba)); + } else { + return new BigInteger(ba); + } +}; + +/** + * Converts big integer to signed byte representation. + * + * The format for this value uses a the most significant bit as a sign + * bit. If the most significant bit is already occupied by the + * absolute value, an extra byte is prepended and the sign bit is set + * there. + * + * Examples: + * + * 0 => 0x00 + * 1 => 0x01 + * -1 => 0x81 + * 127 => 0x7f + * -127 => 0xff + * 128 => 0x0080 + * -128 => 0x8080 + * 255 => 0x00ff + * -255 => 0x80ff + * 16300 => 0x3fac + * -16300 => 0xbfac + * 62300 => 0x00f35c + * -62300 => 0x80f35c + */ +BigInteger.prototype.toByteArraySigned = function () { + var val = this.abs().toByteArrayUnsigned(); + var neg = this.compareTo(BigInteger.ZERO) < 0; + + if (neg) { + if (val[0] & 0x80) { + val.unshift(0x80); + } else { + val[0] |= 0x80; + } + } else { + if (val[0] & 0x80) { + val.unshift(0x00); + } + } + + return val; +}; + +/** + * Parse a signed big integer byte representation. + * + * For details on the format please see BigInteger.toByteArraySigned. + */ +BigInteger.fromByteArraySigned = function (ba) { + // Check for negative value + if (ba[0] & 0x80) { + // Remove sign bit + ba[0] &= 0x7f; + + return BigInteger.fromByteArrayUnsigned(ba).negate(); + } else { + return BigInteger.fromByteArrayUnsigned(ba); + } +}; + +// Console ignore +var names = ["log", "debug", "info", "warn", "error", "assert", "dir", + "dirxml", "group", "groupEnd", "time", "timeEnd", "count", + "trace", "profile", "profileEnd"]; + +if ("undefined" == typeof window.console) window.console = {}; +for (var i = 0; i < names.length; ++i) + if ("undefined" == typeof window.console[names[i]]) + window.console[names[i]] = function() {}; + +// Bitcoin utility functions +Bitcoin.Util = { + /** + * Cross-browser compatibility version of Array.isArray. + */ + isArray: Array.isArray || function(o) + { + return Object.prototype.toString.call(o) === '[object Array]'; + }, + + /** + * Create an array of a certain length filled with a specific value. + */ + makeFilledArray: function (len, val) + { + var array = []; + var i = 0; + while (i < len) { + array[i++] = val; + } + return array; + }, + + /** + * Turn an integer into a "var_int". + * + * "var_int" is a variable length integer used by Bitcoin's binary format. + * + * Returns a byte array. + */ + numToVarInt: function (i) + { + if (i < 0xfd) { + // unsigned char + return [i]; + } else if (i <= 1<<16) { + // unsigned short (LE) + return [0xfd, i >>> 8, i & 255]; + } else if (i <= 1<<32) { + // unsigned int (LE) + return [0xfe].concat(Crypto.util.wordsToBytes([i])); + } else { + // unsigned long long (LE) + return [0xff].concat(Crypto.util.wordsToBytes([i >>> 32, i])); + } + }, + + /** + * Parse a Bitcoin value byte array, returning a BigInteger. + */ + valueToBigInt: function (valueBuffer) + { + if (valueBuffer instanceof BigInteger) return valueBuffer; + + // Prepend zero byte to prevent interpretation as negative integer + return BigInteger.fromByteArrayUnsigned(valueBuffer); + }, + + /** + * Format a Bitcoin value as a string. + * + * Takes a BigInteger or byte-array and returns that amount of Bitcoins in a + * nice standard formatting. + * + * Examples: + * 12.3555 + * 0.1234 + * 900.99998888 + * 34.00 + */ + formatValue: function (valueBuffer) { + var value = this.valueToBigInt(valueBuffer).toString(); + var integerPart = value.length > 8 ? value.substr(0, value.length-8) : '0'; + var decimalPart = value.length > 8 ? value.substr(value.length-8) : value; + while (decimalPart.length < 8) decimalPart = "0"+decimalPart; + decimalPart = decimalPart.replace(/0*$/, ''); + while (decimalPart.length < 2) decimalPart += "0"; + return integerPart+"."+decimalPart; + }, + + /** + * Parse a floating point string as a Bitcoin value. + * + * Keep in mind that parsing user input is messy. You should always display + * the parsed value back to the user to make sure we understood his input + * correctly. + */ + parseValue: function (valueString) { + // TODO: Detect other number formats (e.g. comma as decimal separator) + var valueComp = valueString.split('.'); + var integralPart = valueComp[0]; + var fractionalPart = valueComp[1] || "0"; + while (fractionalPart.length < 8) fractionalPart += "0"; + fractionalPart = fractionalPart.replace(/^0+/g, ''); + var value = BigInteger.valueOf(parseInt(integralPart)); + value = value.multiply(BigInteger.valueOf(100000000)); + value = value.add(BigInteger.valueOf(parseInt(fractionalPart))); + return value; + }, + + /** + * Calculate RIPEMD160(SHA256(data)). + * + * Takes an arbitrary byte array as inputs and returns the hash as a byte + * array. + */ + sha256ripe160: function (data) { + return Crypto.RIPEMD160(Crypto.SHA256(data, {asBytes: true}), {asBytes: true}); + } +}; + +for (var i in Crypto.util) { + if (Crypto.util.hasOwnProperty(i)) { + Bitcoin.Util[i] = Crypto.util[i]; + } +} diff --git a/package.json b/package.json index aa98b8988..c193cde73 100644 --- a/package.json +++ b/package.json @@ -38,16 +38,16 @@ "binary": "=0.3.0", "step": "=0.0.4", "buffers": "=0.1.1", - "buffertools": "~2.0.1", - "mocha": ">=1.15.1", - "browserify-bignum": "git://github.com/maraoz/browserify-bignum.git", - "browserify-buffertools": "~1.0.2" + "buffertools": "~2.0.1" }, "devDependencies": { "grunt-contrib-watch": "~0.5.3", "grunt-mocha-test": "~0.8.2", "grunt-browserify": "~1.3.0", "grunt-markdown": "~0.5.0", + "mocha": ">=1.15.1", + "browserify-bignum": "git://github.com/maraoz/browserify-bignum.git", + "browserify-buffertools": "~1.0.2", "chai": "~1.9.0" }, "license": "MIT" diff --git a/test/PrivateKey.js b/test/PrivateKey.js deleted file mode 100644 index 2bfae56e0..000000000 --- a/test/PrivateKey.js +++ /dev/null @@ -1,15 +0,0 @@ -var assert = require('assert'); -var PrivateKey = require('../PrivateKey').class(); -var networks = require('../networks'); - -describe('PrivateKey', function(){ - describe('#as', function(){ - it('should convert hex testnet private key with compressed public key to base58check format', function() { - var hex='b9f4892c9e8282028fea1d2667c4dc5213564d41fc5783896a0d843fc15089f3'; - var buf=new Buffer(hex,'hex'); - var result='cTpB4YiyKiBcPxnefsDpbnDxFDffjqJob8wGCEDXxgQ7zQoMXJdH'; - var privkey=new PrivateKey(networks.testnet.keySecret,buf,true); - assert.equal(privkey.as('base58'),result); - }); - }); -}); diff --git a/test/adapter.js b/test/adapter.js index 312667bb0..b4d8bda03 100644 --- a/test/adapter.js +++ b/test/adapter.js @@ -9,10 +9,14 @@ if (typeof require === 'undefined') { } var module = that[name]; if (!module) { - throw new Error('Cannot find module "'+name+'"'); + if (!bitcore[name]) + throw new Error('Cannot find module "'+name+'"'); + return bitcore[name]; } return module; }; } +this.Buffer = require('Buffer'); + diff --git a/test/index.html b/test/index.html index eaae44d56..ec2658f8b 100644 --- a/test/index.html +++ b/test/index.html @@ -32,12 +32,12 @@ +