diff --git a/.travis.yml b/.travis.yml index 9fdda4c..1a659f4 100755 --- a/.travis.yml +++ b/.travis.yml @@ -3,11 +3,7 @@ os: - linux language: node_js node_js: - - "0.10" - - "0.11" - - "0.12" - - "4" - - "5" + - "stable" env: global: - secure: ewqsRnX7z3+g6q+mM6peRPhuTlTlkJIRmVG/Ya9AcDXEb7as49KDTdqfMcOu7+FxF50ehqla+TRRCLRPOcVkWqs72OVUXEsjRASp9jQwpQGl+g/vZhyTMwlM2ENEkyiFQtobI1hYKgVW1ogftkc6vm7ywvoyTrFp/leVJBrTuHk= @@ -17,11 +13,11 @@ env: - TEST_SUITE='npm run unit' matrix: include: - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='npm run lint' - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='grunt coveralls' - - node_js: "4" + - node_js: "stable" env: TEST_SUITE='grunt saucelabs' allow_failures: - env: TEST_SUITE='grunt saucelabs' diff --git a/dist/elliptic.js b/dist/elliptic.js index b5378a9..4498778 100644 --- a/dist/elliptic.js +++ b/dist/elliptic.js @@ -1,4 +1,4 @@ -(function(f){if(typeof exports==="object"&&typeof module!=="undefined"){module.exports=f()}else if(typeof define==="function"&&define.amd){define([],f)}else{var g;if(typeof window!=="undefined"){g=window}else if(typeof global!=="undefined"){g=global}else if(typeof self!=="undefined"){g=self}else{g=this}g.elliptic = f()}})(function(){var define,module,exports;return (function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o 0) { @@ -68,7 +69,7 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { assert(p.precomputed); var doubles = p._getDoubles(); - var naf = getNAF(k, 1); + var naf = getNAF(k, 1, this._bitLength); var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); I /= 3; @@ -105,7 +106,7 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { var wnd = nafPoints.points; // Get NAF form - var naf = getNAF(k, w); + var naf = getNAF(k, w, this._bitLength); // Add `this`*(N+1) for every w-NAF index var acc = this.jpoint(null, null, null); @@ -161,8 +162,8 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, var a = i - 1; var b = i; if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { - naf[a] = getNAF(coeffs[a], wndWidth[a]); - naf[b] = getNAF(coeffs[b], wndWidth[b]); + naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength); + naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength); max = Math.max(naf[a].length, max); max = Math.max(naf[b].length, max); continue; @@ -390,16 +391,15 @@ BasePoint.prototype.dblp = function dblp(k) { return r; }; -},{"../../elliptic":1,"bn.js":16}],3:[function(require,module,exports){ +},{"../utils":15,"bn.js":16}],3:[function(require,module,exports){ 'use strict'; -var curve = require('../curve'); -var elliptic = require('../../elliptic'); +var utils = require('../utils'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function EdwardsCurve(conf) { // NOTE: Important as we are creating point in Base.call() @@ -825,7 +825,7 @@ Point.prototype.eqXToP = function eqXToP(x) { Point.prototype.toP = Point.prototype.normalize; Point.prototype.mixedAdd = Point.prototype.add; -},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],4:[function(require,module,exports){ +},{"../utils":15,"./base":2,"bn.js":16,"inherits":32}],4:[function(require,module,exports){ 'use strict'; var curve = exports; @@ -838,13 +838,11 @@ curve.edwards = require('./edwards'); },{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(require,module,exports){ 'use strict'; -var curve = require('../curve'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); function MontCurve(conf) { Base.call(this, 'mont', conf); @@ -1017,16 +1015,15 @@ Point.prototype.getX = function getX() { return this.x.fromRed(); }; -},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],6:[function(require,module,exports){ +},{"../utils":15,"./base":2,"bn.js":16,"inherits":32}],6:[function(require,module,exports){ 'use strict'; -var curve = require('../curve'); -var elliptic = require('../../elliptic'); +var utils = require('../utils'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function ShortCurve(conf) { Base.call(this, 'short', conf); @@ -1442,8 +1439,9 @@ Point.prototype.getY = function getY() { Point.prototype.mul = function mul(k) { k = new BN(k, 16); - - if (this._hasDoubles(k)) + if (this.isInfinity()) + return this; + else if (this._hasDoubles(k)) return this.curve._fixedNafMul(this, k); else if (this.curve.endo) return this.curve._endoWnafMulAdd([ this ], [ k ]); @@ -1956,23 +1954,24 @@ JPoint.prototype.isInfinity = function isInfinity() { return this.z.cmpn(0) === 0; }; -},{"../../elliptic":1,"../curve":4,"bn.js":16,"inherits":27}],7:[function(require,module,exports){ +},{"../utils":15,"./base":2,"bn.js":16,"inherits":32}],7:[function(require,module,exports){ 'use strict'; var curves = exports; var hash = require('hash.js'); -var elliptic = require('../elliptic'); +var curve = require('./curve'); +var utils = require('./utils'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function PresetCurve(options) { if (options.type === 'short') - this.curve = new elliptic.curve.short(options); + this.curve = new curve.short(options); else if (options.type === 'edwards') - this.curve = new elliptic.curve.edwards(options); + this.curve = new curve.edwards(options); else - this.curve = new elliptic.curve.mont(options); + this.curve = new curve.mont(options); this.g = this.curve.g; this.n = this.curve.n; this.hash = options.hash; @@ -2163,13 +2162,14 @@ defineCurve('secp256k1', { ] }); -},{"../elliptic":1,"./precomputed/secp256k1":14,"hash.js":19}],8:[function(require,module,exports){ +},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(require,module,exports){ 'use strict'; var BN = require('bn.js'); var HmacDRBG = require('hmac-drbg'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); +var curves = require('../curves'); +var rand = require('brorand'); var assert = utils.assert; var KeyPair = require('./key'); @@ -2181,13 +2181,13 @@ function EC(options) { // Shortcut `elliptic.ec(curve-name)` if (typeof options === 'string') { - assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options); + assert(curves.hasOwnProperty(options), 'Unknown curve ' + options); - options = elliptic.curves[options]; + options = curves[options]; } // Shortcut for `elliptic.ec(elliptic.curves.curveName)` - if (options instanceof elliptic.curves.PresetCurve) + if (options instanceof curves.PresetCurve) options = { curve: options }; this.curve = options.curve.curve; @@ -2225,7 +2225,7 @@ EC.prototype.genKeyPair = function genKeyPair(options) { hash: this.hash, pers: options.pers, persEnc: options.persEnc || 'utf8', - entropy: options.entropy || elliptic.rand(this.hash.hmacStrength), + entropy: options.entropy || rand(this.hash.hmacStrength), entropyEnc: options.entropy && options.entropyEnc || 'utf8', nonce: this.n.toArray() }); @@ -2405,12 +2405,11 @@ EC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) { throw new Error('Unable to find valid recovery factor'); }; -},{"../../elliptic":1,"./key":9,"./signature":10,"bn.js":16,"hmac-drbg":25}],9:[function(require,module,exports){ +},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,"brorand":17,"hmac-drbg":31}],9:[function(require,module,exports){ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; function KeyPair(ec, options) { @@ -2526,13 +2525,12 @@ KeyPair.prototype.inspect = function inspect() { ' pub: ' + (this.pub && this.pub.inspect()) + ' >'; }; -},{"../../elliptic":1,"bn.js":16}],10:[function(require,module,exports){ +},{"../utils":15,"bn.js":16}],10:[function(require,module,exports){ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; function Signature(options, enc) { @@ -2562,11 +2560,24 @@ function getLength(buf, p) { return initial; } var octetLen = initial & 0xf; + + // Indefinite length or overflow + if (octetLen === 0 || octetLen > 4) { + return false; + } + var val = 0; for (var i = 0, off = p.place; i < octetLen; i++, off++) { val <<= 8; val |= buf[off]; + val >>>= 0; } + + // Leading zeroes + if (val <= 0x7f) { + return false; + } + p.place = off; return val; } @@ -2590,6 +2601,9 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var len = getLength(data, p); + if (len === false) { + return false; + } if ((len + p.place) !== data.length) { return false; } @@ -2597,21 +2611,37 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var rlen = getLength(data, p); + if (rlen === false) { + return false; + } var r = data.slice(p.place, rlen + p.place); p.place += rlen; if (data[p.place++] !== 0x02) { return false; } var slen = getLength(data, p); + if (slen === false) { + return false; + } if (data.length !== slen + p.place) { return false; } var s = data.slice(p.place, slen + p.place); - if (r[0] === 0 && (r[1] & 0x80)) { - r = r.slice(1); + if (r[0] === 0) { + if (r[1] & 0x80) { + r = r.slice(1); + } else { + // Leading zeroes + return false; + } } - if (s[0] === 0 && (s[1] & 0x80)) { - s = s.slice(1); + if (s[0] === 0) { + if (s[1] & 0x80) { + s = s.slice(1); + } else { + // Leading zeroes + return false; + } } this.r = new BN(r); @@ -2663,12 +2693,12 @@ Signature.prototype.toDER = function toDER(enc) { return utils.encode(res, enc); }; -},{"../../elliptic":1,"bn.js":16}],11:[function(require,module,exports){ +},{"../utils":15,"bn.js":16}],11:[function(require,module,exports){ 'use strict'; var hash = require('hash.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var curves = require('../curves'); +var utils = require('../utils'); var assert = utils.assert; var parseBytes = utils.parseBytes; var KeyPair = require('./key'); @@ -2680,7 +2710,7 @@ function EDDSA(curve) { if (!(this instanceof EDDSA)) return new EDDSA(curve); - var curve = elliptic.curves[curve].curve; + var curve = curves[curve].curve; this.curve = curve; this.g = curve.g; this.g.precompute(curve.n.bitLength() + 1); @@ -2783,11 +2813,10 @@ EDDSA.prototype.isPoint = function isPoint(val) { return val instanceof this.pointClass; }; -},{"../../elliptic":1,"./key":12,"./signature":13,"hash.js":19}],12:[function(require,module,exports){ +},{"../curves":7,"../utils":15,"./key":12,"./signature":13,"hash.js":19}],12:[function(require,module,exports){ 'use strict'; -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; var parseBytes = utils.parseBytes; var cachedProperty = utils.cachedProperty; @@ -2881,12 +2910,11 @@ KeyPair.prototype.getPublic = function getPublic(enc) { module.exports = KeyPair; -},{"../../elliptic":1}],13:[function(require,module,exports){ +},{"../utils":15}],13:[function(require,module,exports){ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; var cachedProperty = utils.cachedProperty; var parseBytes = utils.parseBytes; @@ -2949,7 +2977,7 @@ Signature.prototype.toHex = function toHex() { module.exports = Signature; -},{"../../elliptic":1,"bn.js":16}],14:[function(require,module,exports){ +},{"../utils":15,"bn.js":16}],14:[function(require,module,exports){ module.exports = { doubles: { step: 4, @@ -3746,14 +3774,17 @@ utils.toHex = minUtils.toHex; utils.encode = minUtils.encode; // Represent num in a w-NAF form -function getNAF(num, w) { - var naf = []; +function getNAF(num, w, bits) { + var naf = new Array(Math.max(num.bitLength(), bits) + 1); + naf.fill(0); + var ws = 1 << (w + 1); var k = num.clone(); - while (k.cmpn(1) >= 0) { + + for (var i = 0; i < naf.length; i++) { var z; + var mod = k.andln(ws - 1); if (k.isOdd()) { - var mod = k.andln(ws - 1); if (mod > (ws >> 1) - 1) z = (ws >> 1) - mod; else @@ -3762,13 +3793,9 @@ function getNAF(num, w) { } else { z = 0; } - naf.push(z); - // Optimization, shift by word if possible - var shift = (k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1; - for (var i = 1; i < shift; i++) - naf.push(0); - k.iushrn(shift); + naf[i] = z; + k.iushrn(1); } return naf; @@ -3853,7 +3880,7 @@ function intFromLE(bytes) { utils.intFromLE = intFromLE; -},{"bn.js":16,"minimalistic-assert":28,"minimalistic-crypto-utils":29}],16:[function(require,module,exports){ +},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(require,module,exports){ (function (module, exports) { 'use strict'; @@ -3906,7 +3933,7 @@ utils.intFromLE = intFromLE; var Buffer; try { - Buffer = require('buf' + 'fer').Buffer; + Buffer = require('buffer').Buffer; } catch (e) { } @@ -7143,7 +7170,7 @@ utils.intFromLE = intFromLE; }; Red.prototype.pow = function pow (a, num) { - if (num.isZero()) return new BN(1); + if (num.isZero()) return new BN(1).toRed(this); if (num.cmpn(1) === 0) return a.clone(); var windowSize = 4; @@ -7282,7 +7309,7 @@ utils.intFromLE = intFromLE; }; })(typeof module === 'undefined' || module, this); -},{}],17:[function(require,module,exports){ +},{"buffer":18}],17:[function(require,module,exports){ var r; module.exports = function rand(len) { @@ -7301,6 +7328,17 @@ Rand.prototype.generate = function generate(len) { return this._rand(len); }; +// Emulate crypto API using randy +Rand.prototype._rand = function _rand(n) { + if (this.rand.getBytes) + return this.rand.getBytes(n); + + var res = new Uint8Array(n); + for (var i = 0; i < res.length; i++) + res[i] = this.rand.getByte(); + return res; +}; + if (typeof self === 'object') { if (self.crypto && self.crypto.getRandomValues) { // Modern browsers @@ -7316,7 +7354,9 @@ if (typeof self === 'object') { self.msCrypto.getRandomValues(arr); return arr; }; - } else { + + // Safari's WebWorkers do not have `crypto` + } else if (typeof window === 'object') { // Old junk Rand.prototype._rand = function() { throw new Error('Not implemented yet'); @@ -7326,18 +7366,13 @@ if (typeof self === 'object') { // Node.js or Web worker with no crypto support try { var crypto = require('crypto'); + if (typeof crypto.randomBytes !== 'function') + throw new Error('Not supported'); Rand.prototype._rand = function _rand(n) { return crypto.randomBytes(n); }; } catch (e) { - // Emulate crypto API using randy - Rand.prototype._rand = function _rand(n) { - var res = new Uint8Array(n); - for (var i = 0; i < res.length; i++) - res[i] = this.rand.getByte(); - return res; - }; } } @@ -7360,10 +7395,11 @@ hash.sha384 = hash.sha.sha384; hash.sha512 = hash.sha.sha512; hash.ripemd160 = hash.ripemd.ripemd160; -},{"./hash/common":20,"./hash/hmac":21,"./hash/ripemd":22,"./hash/sha":23,"./hash/utils":24}],20:[function(require,module,exports){ -var hash = require('../hash'); -var utils = hash.utils; -var assert = utils.assert; +},{"./hash/common":20,"./hash/hmac":21,"./hash/ripemd":22,"./hash/sha":23,"./hash/utils":30}],20:[function(require,module,exports){ +'use strict'; + +var utils = require('./utils'); +var assert = require('minimalistic-assert'); function BlockHash() { this.pending = null; @@ -7446,19 +7482,18 @@ BlockHash.prototype._pad = function pad() { res[i++] = 0; res[i++] = 0; - for (var t = 8; t < this.padLength; t++) + for (t = 8; t < this.padLength; t++) res[i++] = 0; } return res; }; -},{"../hash":19}],21:[function(require,module,exports){ -var hmac = exports; +},{"./utils":30,"minimalistic-assert":33}],21:[function(require,module,exports){ +'use strict'; -var hash = require('../hash'); -var utils = hash.utils; -var assert = utils.assert; +var utils = require('./utils'); +var assert = require('minimalistic-assert'); function Hmac(hash, key, enc) { if (!(this instanceof Hmac)) @@ -7483,12 +7518,12 @@ Hmac.prototype._init = function init(key) { for (var i = key.length; i < this.blockSize; i++) key.push(0); - for (var i = 0; i < key.length; i++) + for (i = 0; i < key.length; i++) key[i] ^= 0x36; this.inner = new this.Hash().update(key); // 0x36 ^ 0x5c = 0x6a - for (var i = 0; i < key.length; i++) + for (i = 0; i < key.length; i++) key[i] ^= 0x6a; this.outer = new this.Hash().update(key); }; @@ -7503,15 +7538,17 @@ Hmac.prototype.digest = function digest(enc) { return this.outer.digest(enc); }; -},{"../hash":19}],22:[function(require,module,exports){ -var hash = require('../hash'); -var utils = hash.utils; +},{"./utils":30,"minimalistic-assert":33}],22:[function(require,module,exports){ +'use strict'; + +var utils = require('./utils'); +var common = require('./common'); var rotl32 = utils.rotl32; var sum32 = utils.sum32; var sum32_3 = utils.sum32_3; var sum32_4 = utils.sum32_4; -var BlockHash = hash.common.BlockHash; +var BlockHash = common.BlockHash; function RIPEMD160() { if (!(this instanceof RIPEMD160)) @@ -7649,28 +7686,142 @@ var sh = [ 8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11 ]; -},{"../hash":19}],23:[function(require,module,exports){ -var hash = require('../hash'); -var utils = hash.utils; -var assert = utils.assert; +},{"./common":20,"./utils":30}],23:[function(require,module,exports){ +'use strict'; + +exports.sha1 = require('./sha/1'); +exports.sha224 = require('./sha/224'); +exports.sha256 = require('./sha/256'); +exports.sha384 = require('./sha/384'); +exports.sha512 = require('./sha/512'); + +},{"./sha/1":24,"./sha/224":25,"./sha/256":26,"./sha/384":27,"./sha/512":28}],24:[function(require,module,exports){ +'use strict'; + +var utils = require('../utils'); +var common = require('../common'); +var shaCommon = require('./common'); -var rotr32 = utils.rotr32; var rotl32 = utils.rotl32; +var sum32 = utils.sum32; +var sum32_5 = utils.sum32_5; +var ft_1 = shaCommon.ft_1; +var BlockHash = common.BlockHash; + +var sha1_K = [ + 0x5A827999, 0x6ED9EBA1, + 0x8F1BBCDC, 0xCA62C1D6 +]; + +function SHA1() { + if (!(this instanceof SHA1)) + return new SHA1(); + + BlockHash.call(this); + this.h = [ + 0x67452301, 0xefcdab89, 0x98badcfe, + 0x10325476, 0xc3d2e1f0 ]; + this.W = new Array(80); +} + +utils.inherits(SHA1, BlockHash); +module.exports = SHA1; + +SHA1.blockSize = 512; +SHA1.outSize = 160; +SHA1.hmacStrength = 80; +SHA1.padLength = 64; + +SHA1.prototype._update = function _update(msg, start) { + var W = this.W; + + for (var i = 0; i < 16; i++) + W[i] = msg[start + i]; + + for(; i < W.length; i++) + W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1); + + var a = this.h[0]; + var b = this.h[1]; + var c = this.h[2]; + var d = this.h[3]; + var e = this.h[4]; + + for (i = 0; i < W.length; i++) { + var s = ~~(i / 20); + var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]); + e = d; + d = c; + c = rotl32(b, 30); + b = a; + a = t; + } + + this.h[0] = sum32(this.h[0], a); + this.h[1] = sum32(this.h[1], b); + this.h[2] = sum32(this.h[2], c); + this.h[3] = sum32(this.h[3], d); + this.h[4] = sum32(this.h[4], e); +}; + +SHA1.prototype._digest = function digest(enc) { + if (enc === 'hex') + return utils.toHex32(this.h, 'big'); + else + return utils.split32(this.h, 'big'); +}; + +},{"../common":20,"../utils":30,"./common":29}],25:[function(require,module,exports){ +'use strict'; + +var utils = require('../utils'); +var SHA256 = require('./256'); + +function SHA224() { + if (!(this instanceof SHA224)) + return new SHA224(); + + SHA256.call(this); + this.h = [ + 0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, + 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4 ]; +} +utils.inherits(SHA224, SHA256); +module.exports = SHA224; + +SHA224.blockSize = 512; +SHA224.outSize = 224; +SHA224.hmacStrength = 192; +SHA224.padLength = 64; + +SHA224.prototype._digest = function digest(enc) { + // Just truncate output + if (enc === 'hex') + return utils.toHex32(this.h.slice(0, 7), 'big'); + else + return utils.split32(this.h.slice(0, 7), 'big'); +}; + + +},{"../utils":30,"./256":26}],26:[function(require,module,exports){ +'use strict'; + +var utils = require('../utils'); +var common = require('../common'); +var shaCommon = require('./common'); +var assert = require('minimalistic-assert'); + var sum32 = utils.sum32; var sum32_4 = utils.sum32_4; var sum32_5 = utils.sum32_5; -var rotr64_hi = utils.rotr64_hi; -var rotr64_lo = utils.rotr64_lo; -var shr64_hi = utils.shr64_hi; -var shr64_lo = utils.shr64_lo; -var sum64 = utils.sum64; -var sum64_hi = utils.sum64_hi; -var sum64_lo = utils.sum64_lo; -var sum64_4_hi = utils.sum64_4_hi; -var sum64_4_lo = utils.sum64_4_lo; -var sum64_5_hi = utils.sum64_5_hi; -var sum64_5_lo = utils.sum64_5_lo; -var BlockHash = hash.common.BlockHash; +var ch32 = shaCommon.ch32; +var maj32 = shaCommon.maj32; +var s0_256 = shaCommon.s0_256; +var s1_256 = shaCommon.s1_256; +var g0_256 = shaCommon.g0_256; +var g1_256 = shaCommon.g1_256; + +var BlockHash = common.BlockHash; var sha256_K = [ 0x428a2f98, 0x71374491, 0xb5c0fbcf, 0xe9b5dba5, @@ -7691,66 +7842,20 @@ var sha256_K = [ 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 ]; -var sha512_K = [ - 0x428a2f98, 0xd728ae22, 0x71374491, 0x23ef65cd, - 0xb5c0fbcf, 0xec4d3b2f, 0xe9b5dba5, 0x8189dbbc, - 0x3956c25b, 0xf348b538, 0x59f111f1, 0xb605d019, - 0x923f82a4, 0xaf194f9b, 0xab1c5ed5, 0xda6d8118, - 0xd807aa98, 0xa3030242, 0x12835b01, 0x45706fbe, - 0x243185be, 0x4ee4b28c, 0x550c7dc3, 0xd5ffb4e2, - 0x72be5d74, 0xf27b896f, 0x80deb1fe, 0x3b1696b1, - 0x9bdc06a7, 0x25c71235, 0xc19bf174, 0xcf692694, - 0xe49b69c1, 0x9ef14ad2, 0xefbe4786, 0x384f25e3, - 0x0fc19dc6, 0x8b8cd5b5, 0x240ca1cc, 0x77ac9c65, - 0x2de92c6f, 0x592b0275, 0x4a7484aa, 0x6ea6e483, - 0x5cb0a9dc, 0xbd41fbd4, 0x76f988da, 0x831153b5, - 0x983e5152, 0xee66dfab, 0xa831c66d, 0x2db43210, - 0xb00327c8, 0x98fb213f, 0xbf597fc7, 0xbeef0ee4, - 0xc6e00bf3, 0x3da88fc2, 0xd5a79147, 0x930aa725, - 0x06ca6351, 0xe003826f, 0x14292967, 0x0a0e6e70, - 0x27b70a85, 0x46d22ffc, 0x2e1b2138, 0x5c26c926, - 0x4d2c6dfc, 0x5ac42aed, 0x53380d13, 0x9d95b3df, - 0x650a7354, 0x8baf63de, 0x766a0abb, 0x3c77b2a8, - 0x81c2c92e, 0x47edaee6, 0x92722c85, 0x1482353b, - 0xa2bfe8a1, 0x4cf10364, 0xa81a664b, 0xbc423001, - 0xc24b8b70, 0xd0f89791, 0xc76c51a3, 0x0654be30, - 0xd192e819, 0xd6ef5218, 0xd6990624, 0x5565a910, - 0xf40e3585, 0x5771202a, 0x106aa070, 0x32bbd1b8, - 0x19a4c116, 0xb8d2d0c8, 0x1e376c08, 0x5141ab53, - 0x2748774c, 0xdf8eeb99, 0x34b0bcb5, 0xe19b48a8, - 0x391c0cb3, 0xc5c95a63, 0x4ed8aa4a, 0xe3418acb, - 0x5b9cca4f, 0x7763e373, 0x682e6ff3, 0xd6b2b8a3, - 0x748f82ee, 0x5defb2fc, 0x78a5636f, 0x43172f60, - 0x84c87814, 0xa1f0ab72, 0x8cc70208, 0x1a6439ec, - 0x90befffa, 0x23631e28, 0xa4506ceb, 0xde82bde9, - 0xbef9a3f7, 0xb2c67915, 0xc67178f2, 0xe372532b, - 0xca273ece, 0xea26619c, 0xd186b8c7, 0x21c0c207, - 0xeada7dd6, 0xcde0eb1e, 0xf57d4f7f, 0xee6ed178, - 0x06f067aa, 0x72176fba, 0x0a637dc5, 0xa2c898a6, - 0x113f9804, 0xbef90dae, 0x1b710b35, 0x131c471b, - 0x28db77f5, 0x23047d84, 0x32caab7b, 0x40c72493, - 0x3c9ebe0a, 0x15c9bebc, 0x431d67c4, 0x9c100d4c, - 0x4cc5d4be, 0xcb3e42b6, 0x597f299c, 0xfc657e2a, - 0x5fcb6fab, 0x3ad6faec, 0x6c44198c, 0x4a475817 -]; - -var sha1_K = [ - 0x5A827999, 0x6ED9EBA1, - 0x8F1BBCDC, 0xCA62C1D6 -]; - function SHA256() { if (!(this instanceof SHA256)) return new SHA256(); BlockHash.call(this); - this.h = [ 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, - 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 ]; + this.h = [ + 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, + 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 + ]; this.k = sha256_K; this.W = new Array(64); } utils.inherits(SHA256, BlockHash); -exports.sha256 = SHA256; +module.exports = SHA256; SHA256.blockSize = 512; SHA256.outSize = 256; @@ -7775,7 +7880,7 @@ SHA256.prototype._update = function _update(msg, start) { var h = this.h[7]; assert(this.k.length === W.length); - for (var i = 0; i < W.length; i++) { + for (i = 0; i < W.length; i++) { var T1 = sum32_5(h, s1_256(e), ch32(e, f, g), this.k[i], W[i]); var T2 = sum32(s0_256(a), maj32(a, b, c)); h = g; @@ -7805,58 +7910,136 @@ SHA256.prototype._digest = function digest(enc) { return utils.split32(this.h, 'big'); }; -function SHA224() { - if (!(this instanceof SHA224)) - return new SHA224(); +},{"../common":20,"../utils":30,"./common":29,"minimalistic-assert":33}],27:[function(require,module,exports){ +'use strict'; - SHA256.call(this); - this.h = [ 0xc1059ed8, 0x367cd507, 0x3070dd17, 0xf70e5939, - 0xffc00b31, 0x68581511, 0x64f98fa7, 0xbefa4fa4 ]; +var utils = require('../utils'); + +var SHA512 = require('./512'); + +function SHA384() { + if (!(this instanceof SHA384)) + return new SHA384(); + + SHA512.call(this); + this.h = [ + 0xcbbb9d5d, 0xc1059ed8, + 0x629a292a, 0x367cd507, + 0x9159015a, 0x3070dd17, + 0x152fecd8, 0xf70e5939, + 0x67332667, 0xffc00b31, + 0x8eb44a87, 0x68581511, + 0xdb0c2e0d, 0x64f98fa7, + 0x47b5481d, 0xbefa4fa4 ]; } -utils.inherits(SHA224, SHA256); -exports.sha224 = SHA224; +utils.inherits(SHA384, SHA512); +module.exports = SHA384; -SHA224.blockSize = 512; -SHA224.outSize = 224; -SHA224.hmacStrength = 192; -SHA224.padLength = 64; +SHA384.blockSize = 1024; +SHA384.outSize = 384; +SHA384.hmacStrength = 192; +SHA384.padLength = 128; -SHA224.prototype._digest = function digest(enc) { - // Just truncate output +SHA384.prototype._digest = function digest(enc) { if (enc === 'hex') - return utils.toHex32(this.h.slice(0, 7), 'big'); + return utils.toHex32(this.h.slice(0, 12), 'big'); else - return utils.split32(this.h.slice(0, 7), 'big'); + return utils.split32(this.h.slice(0, 12), 'big'); }; -function SHA512() { - if (!(this instanceof SHA512)) - return new SHA512(); - - BlockHash.call(this); - this.h = [ 0x6a09e667, 0xf3bcc908, - 0xbb67ae85, 0x84caa73b, - 0x3c6ef372, 0xfe94f82b, - 0xa54ff53a, 0x5f1d36f1, - 0x510e527f, 0xade682d1, - 0x9b05688c, 0x2b3e6c1f, - 0x1f83d9ab, 0xfb41bd6b, - 0x5be0cd19, 0x137e2179 ]; - this.k = sha512_K; - this.W = new Array(160); -} -utils.inherits(SHA512, BlockHash); -exports.sha512 = SHA512; - -SHA512.blockSize = 1024; -SHA512.outSize = 512; -SHA512.hmacStrength = 192; -SHA512.padLength = 128; +},{"../utils":30,"./512":28}],28:[function(require,module,exports){ +'use strict'; -SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) { - var W = this.W; +var utils = require('../utils'); +var common = require('../common'); +var assert = require('minimalistic-assert'); - // 32 x 32bit words +var rotr64_hi = utils.rotr64_hi; +var rotr64_lo = utils.rotr64_lo; +var shr64_hi = utils.shr64_hi; +var shr64_lo = utils.shr64_lo; +var sum64 = utils.sum64; +var sum64_hi = utils.sum64_hi; +var sum64_lo = utils.sum64_lo; +var sum64_4_hi = utils.sum64_4_hi; +var sum64_4_lo = utils.sum64_4_lo; +var sum64_5_hi = utils.sum64_5_hi; +var sum64_5_lo = utils.sum64_5_lo; + +var BlockHash = common.BlockHash; + +var sha512_K = [ + 0x428a2f98, 0xd728ae22, 0x71374491, 0x23ef65cd, + 0xb5c0fbcf, 0xec4d3b2f, 0xe9b5dba5, 0x8189dbbc, + 0x3956c25b, 0xf348b538, 0x59f111f1, 0xb605d019, + 0x923f82a4, 0xaf194f9b, 0xab1c5ed5, 0xda6d8118, + 0xd807aa98, 0xa3030242, 0x12835b01, 0x45706fbe, + 0x243185be, 0x4ee4b28c, 0x550c7dc3, 0xd5ffb4e2, + 0x72be5d74, 0xf27b896f, 0x80deb1fe, 0x3b1696b1, + 0x9bdc06a7, 0x25c71235, 0xc19bf174, 0xcf692694, + 0xe49b69c1, 0x9ef14ad2, 0xefbe4786, 0x384f25e3, + 0x0fc19dc6, 0x8b8cd5b5, 0x240ca1cc, 0x77ac9c65, + 0x2de92c6f, 0x592b0275, 0x4a7484aa, 0x6ea6e483, + 0x5cb0a9dc, 0xbd41fbd4, 0x76f988da, 0x831153b5, + 0x983e5152, 0xee66dfab, 0xa831c66d, 0x2db43210, + 0xb00327c8, 0x98fb213f, 0xbf597fc7, 0xbeef0ee4, + 0xc6e00bf3, 0x3da88fc2, 0xd5a79147, 0x930aa725, + 0x06ca6351, 0xe003826f, 0x14292967, 0x0a0e6e70, + 0x27b70a85, 0x46d22ffc, 0x2e1b2138, 0x5c26c926, + 0x4d2c6dfc, 0x5ac42aed, 0x53380d13, 0x9d95b3df, + 0x650a7354, 0x8baf63de, 0x766a0abb, 0x3c77b2a8, + 0x81c2c92e, 0x47edaee6, 0x92722c85, 0x1482353b, + 0xa2bfe8a1, 0x4cf10364, 0xa81a664b, 0xbc423001, + 0xc24b8b70, 0xd0f89791, 0xc76c51a3, 0x0654be30, + 0xd192e819, 0xd6ef5218, 0xd6990624, 0x5565a910, + 0xf40e3585, 0x5771202a, 0x106aa070, 0x32bbd1b8, + 0x19a4c116, 0xb8d2d0c8, 0x1e376c08, 0x5141ab53, + 0x2748774c, 0xdf8eeb99, 0x34b0bcb5, 0xe19b48a8, + 0x391c0cb3, 0xc5c95a63, 0x4ed8aa4a, 0xe3418acb, + 0x5b9cca4f, 0x7763e373, 0x682e6ff3, 0xd6b2b8a3, + 0x748f82ee, 0x5defb2fc, 0x78a5636f, 0x43172f60, + 0x84c87814, 0xa1f0ab72, 0x8cc70208, 0x1a6439ec, + 0x90befffa, 0x23631e28, 0xa4506ceb, 0xde82bde9, + 0xbef9a3f7, 0xb2c67915, 0xc67178f2, 0xe372532b, + 0xca273ece, 0xea26619c, 0xd186b8c7, 0x21c0c207, + 0xeada7dd6, 0xcde0eb1e, 0xf57d4f7f, 0xee6ed178, + 0x06f067aa, 0x72176fba, 0x0a637dc5, 0xa2c898a6, + 0x113f9804, 0xbef90dae, 0x1b710b35, 0x131c471b, + 0x28db77f5, 0x23047d84, 0x32caab7b, 0x40c72493, + 0x3c9ebe0a, 0x15c9bebc, 0x431d67c4, 0x9c100d4c, + 0x4cc5d4be, 0xcb3e42b6, 0x597f299c, 0xfc657e2a, + 0x5fcb6fab, 0x3ad6faec, 0x6c44198c, 0x4a475817 +]; + +function SHA512() { + if (!(this instanceof SHA512)) + return new SHA512(); + + BlockHash.call(this); + this.h = [ + 0x6a09e667, 0xf3bcc908, + 0xbb67ae85, 0x84caa73b, + 0x3c6ef372, 0xfe94f82b, + 0xa54ff53a, 0x5f1d36f1, + 0x510e527f, 0xade682d1, + 0x9b05688c, 0x2b3e6c1f, + 0x1f83d9ab, 0xfb41bd6b, + 0x5be0cd19, 0x137e2179 ]; + this.k = sha512_K; + this.W = new Array(160); +} +utils.inherits(SHA512, BlockHash); +module.exports = SHA512; + +SHA512.blockSize = 1024; +SHA512.outSize = 512; +SHA512.hmacStrength = 192; +SHA512.padLength = 128; + +SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) { + var W = this.W; + + // 32 x 32bit words for (var i = 0; i < 32; i++) W[i] = msg[start + i]; for (; i < W.length; i += 2) { @@ -7869,14 +8052,16 @@ SHA512.prototype._prepareBlock = function _prepareBlock(msg, start) { var c3_hi = W[i - 32]; // i - 16 var c3_lo = W[i - 31]; - W[i] = sum64_4_hi(c0_hi, c0_lo, - c1_hi, c1_lo, - c2_hi, c2_lo, - c3_hi, c3_lo); - W[i + 1] = sum64_4_lo(c0_hi, c0_lo, - c1_hi, c1_lo, - c2_hi, c2_lo, - c3_hi, c3_lo); + W[i] = sum64_4_hi( + c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo); + W[i + 1] = sum64_4_lo( + c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo); } }; @@ -7915,21 +8100,23 @@ SHA512.prototype._update = function _update(msg, start) { var c4_hi = W[i]; var c4_lo = W[i + 1]; - var T1_hi = sum64_5_hi(c0_hi, c0_lo, - c1_hi, c1_lo, - c2_hi, c2_lo, - c3_hi, c3_lo, - c4_hi, c4_lo); - var T1_lo = sum64_5_lo(c0_hi, c0_lo, - c1_hi, c1_lo, - c2_hi, c2_lo, - c3_hi, c3_lo, - c4_hi, c4_lo); - - var c0_hi = s0_512_hi(ah, al); - var c0_lo = s0_512_lo(ah, al); - var c1_hi = maj64_hi(ah, al, bh, bl, ch, cl); - var c1_lo = maj64_lo(ah, al, bh, bl, ch, cl); + var T1_hi = sum64_5_hi( + c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo, + c4_hi, c4_lo); + var T1_lo = sum64_5_lo( + c0_hi, c0_lo, + c1_hi, c1_lo, + c2_hi, c2_lo, + c3_hi, c3_lo, + c4_hi, c4_lo); + + c0_hi = s0_512_hi(ah, al); + c0_lo = s0_512_lo(ah, al); + c1_hi = maj64_hi(ah, al, bh, bl, ch, cl); + c1_lo = maj64_lo(ah, al, bh, bl, ch, cl); var T2_hi = sum64_hi(c0_hi, c0_lo, c1_hi, c1_lo); var T2_lo = sum64_lo(c0_hi, c0_lo, c1_hi, c1_lo); @@ -7976,130 +8163,7 @@ SHA512.prototype._digest = function digest(enc) { return utils.split32(this.h, 'big'); }; -function SHA384() { - if (!(this instanceof SHA384)) - return new SHA384(); - - SHA512.call(this); - this.h = [ 0xcbbb9d5d, 0xc1059ed8, - 0x629a292a, 0x367cd507, - 0x9159015a, 0x3070dd17, - 0x152fecd8, 0xf70e5939, - 0x67332667, 0xffc00b31, - 0x8eb44a87, 0x68581511, - 0xdb0c2e0d, 0x64f98fa7, - 0x47b5481d, 0xbefa4fa4 ]; -} -utils.inherits(SHA384, SHA512); -exports.sha384 = SHA384; - -SHA384.blockSize = 1024; -SHA384.outSize = 384; -SHA384.hmacStrength = 192; -SHA384.padLength = 128; - -SHA384.prototype._digest = function digest(enc) { - if (enc === 'hex') - return utils.toHex32(this.h.slice(0, 12), 'big'); - else - return utils.split32(this.h.slice(0, 12), 'big'); -}; - -function SHA1() { - if (!(this instanceof SHA1)) - return new SHA1(); - - BlockHash.call(this); - this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, - 0x10325476, 0xc3d2e1f0 ]; - this.W = new Array(80); -} - -utils.inherits(SHA1, BlockHash); -exports.sha1 = SHA1; - -SHA1.blockSize = 512; -SHA1.outSize = 160; -SHA1.hmacStrength = 80; -SHA1.padLength = 64; - -SHA1.prototype._update = function _update(msg, start) { - var W = this.W; - - for (var i = 0; i < 16; i++) - W[i] = msg[start + i]; - - for(; i < W.length; i++) - W[i] = rotl32(W[i - 3] ^ W[i - 8] ^ W[i - 14] ^ W[i - 16], 1); - - var a = this.h[0]; - var b = this.h[1]; - var c = this.h[2]; - var d = this.h[3]; - var e = this.h[4]; - - for (var i = 0; i < W.length; i++) { - var s = ~~(i / 20); - var t = sum32_5(rotl32(a, 5), ft_1(s, b, c, d), e, W[i], sha1_K[s]); - e = d; - d = c; - c = rotl32(b, 30); - b = a; - a = t; - } - - this.h[0] = sum32(this.h[0], a); - this.h[1] = sum32(this.h[1], b); - this.h[2] = sum32(this.h[2], c); - this.h[3] = sum32(this.h[3], d); - this.h[4] = sum32(this.h[4], e); -}; - -SHA1.prototype._digest = function digest(enc) { - if (enc === 'hex') - return utils.toHex32(this.h, 'big'); - else - return utils.split32(this.h, 'big'); -}; - -function ch32(x, y, z) { - return (x & y) ^ ((~x) & z); -} - -function maj32(x, y, z) { - return (x & y) ^ (x & z) ^ (y & z); -} - -function p32(x, y, z) { - return x ^ y ^ z; -} - -function s0_256(x) { - return rotr32(x, 2) ^ rotr32(x, 13) ^ rotr32(x, 22); -} - -function s1_256(x) { - return rotr32(x, 6) ^ rotr32(x, 11) ^ rotr32(x, 25); -} - -function g0_256(x) { - return rotr32(x, 7) ^ rotr32(x, 18) ^ (x >>> 3); -} - -function g1_256(x) { - return rotr32(x, 17) ^ rotr32(x, 19) ^ (x >>> 10); -} - -function ft_1(s, x, y, z) { - if (s === 0) - return ch32(x, y, z); - if (s === 1 || s === 3) - return p32(x, y, z); - if (s === 2) - return maj32(x, y, z); -} - -function ch64_hi(xh, xl, yh, yl, zh, zl) { +function ch64_hi(xh, xl, yh, yl, zh) { var r = (xh & yh) ^ ((~xh) & zh); if (r < 0) r += 0x100000000; @@ -8113,7 +8177,7 @@ function ch64_lo(xh, xl, yh, yl, zh, zl) { return r; } -function maj64_hi(xh, xl, yh, yl, zh, zl) { +function maj64_hi(xh, xl, yh, yl, zh) { var r = (xh & yh) ^ (xh & zh) ^ (yh & zh); if (r < 0) r += 0x100000000; @@ -8215,10 +8279,75 @@ function g1_512_lo(xh, xl) { return r; } -},{"../hash":19}],24:[function(require,module,exports){ -var utils = exports; +},{"../common":20,"../utils":30,"minimalistic-assert":33}],29:[function(require,module,exports){ +'use strict'; + +var utils = require('../utils'); +var rotr32 = utils.rotr32; + +function ft_1(s, x, y, z) { + if (s === 0) + return ch32(x, y, z); + if (s === 1 || s === 3) + return p32(x, y, z); + if (s === 2) + return maj32(x, y, z); +} +exports.ft_1 = ft_1; + +function ch32(x, y, z) { + return (x & y) ^ ((~x) & z); +} +exports.ch32 = ch32; + +function maj32(x, y, z) { + return (x & y) ^ (x & z) ^ (y & z); +} +exports.maj32 = maj32; + +function p32(x, y, z) { + return x ^ y ^ z; +} +exports.p32 = p32; + +function s0_256(x) { + return rotr32(x, 2) ^ rotr32(x, 13) ^ rotr32(x, 22); +} +exports.s0_256 = s0_256; + +function s1_256(x) { + return rotr32(x, 6) ^ rotr32(x, 11) ^ rotr32(x, 25); +} +exports.s1_256 = s1_256; + +function g0_256(x) { + return rotr32(x, 7) ^ rotr32(x, 18) ^ (x >>> 3); +} +exports.g0_256 = g0_256; + +function g1_256(x) { + return rotr32(x, 17) ^ rotr32(x, 19) ^ (x >>> 10); +} +exports.g1_256 = g1_256; + +},{"../utils":30}],30:[function(require,module,exports){ +'use strict'; + +var assert = require('minimalistic-assert'); var inherits = require('inherits'); +exports.inherits = inherits; + +function isSurrogatePair(msg, i) { + if ((msg.charCodeAt(i) & 0xFC00) !== 0xD800) { + return false; + } + if (i < 0 || i + 1 >= msg.length) { + return false; + } + return (msg.charCodeAt(i + 1) & 0xFC00) === 0xDC00; +} + function toArray(msg, enc) { if (Array.isArray(msg)) return msg.slice(); @@ -8227,29 +8356,44 @@ function toArray(msg, enc) { var res = []; if (typeof msg === 'string') { if (!enc) { + // Inspired by stringToUtf8ByteArray() in closure-library by Google + // https://github.com/google/closure-library/blob/8598d87242af59aac233270742c8984e2b2bdbe0/closure/goog/crypt/crypt.js#L117-L143 + // Apache License 2.0 + // https://github.com/google/closure-library/blob/master/LICENSE + var p = 0; for (var i = 0; i < msg.length; i++) { var c = msg.charCodeAt(i); - var hi = c >> 8; - var lo = c & 0xff; - if (hi) - res.push(hi, lo); - else - res.push(lo); + if (c < 128) { + res[p++] = c; + } else if (c < 2048) { + res[p++] = (c >> 6) | 192; + res[p++] = (c & 63) | 128; + } else if (isSurrogatePair(msg, i)) { + c = 0x10000 + ((c & 0x03FF) << 10) + (msg.charCodeAt(++i) & 0x03FF); + res[p++] = (c >> 18) | 240; + res[p++] = ((c >> 12) & 63) | 128; + res[p++] = ((c >> 6) & 63) | 128; + res[p++] = (c & 63) | 128; + } else { + res[p++] = (c >> 12) | 224; + res[p++] = ((c >> 6) & 63) | 128; + res[p++] = (c & 63) | 128; + } } } else if (enc === 'hex') { msg = msg.replace(/[^a-z0-9]+/ig, ''); if (msg.length % 2 !== 0) msg = '0' + msg; - for (var i = 0; i < msg.length; i += 2) + for (i = 0; i < msg.length; i += 2) res.push(parseInt(msg[i] + msg[i + 1], 16)); } } else { - for (var i = 0; i < msg.length; i++) + for (i = 0; i < msg.length; i++) res[i] = msg[i] | 0; } return res; } -utils.toArray = toArray; +exports.toArray = toArray; function toHex(msg) { var res = ''; @@ -8257,7 +8401,7 @@ function toHex(msg) { res += zero2(msg[i].toString(16)); return res; } -utils.toHex = toHex; +exports.toHex = toHex; function htonl(w) { var res = (w >>> 24) | @@ -8266,7 +8410,7 @@ function htonl(w) { ((w & 0xff) << 24); return res >>> 0; } -utils.htonl = htonl; +exports.htonl = htonl; function toHex32(msg, endian) { var res = ''; @@ -8278,7 +8422,7 @@ function toHex32(msg, endian) { } return res; } -utils.toHex32 = toHex32; +exports.toHex32 = toHex32; function zero2(word) { if (word.length === 1) @@ -8286,7 +8430,7 @@ function zero2(word) { else return word; } -utils.zero2 = zero2; +exports.zero2 = zero2; function zero8(word) { if (word.length === 7) @@ -8306,7 +8450,7 @@ function zero8(word) { else return word; } -utils.zero8 = zero8; +exports.zero8 = zero8; function join32(msg, start, end, endian) { var len = end - start; @@ -8322,7 +8466,7 @@ function join32(msg, start, end, endian) { } return res; } -utils.join32 = join32; +exports.join32 = join32; function split32(msg, endian) { var res = new Array(msg.length * 4); @@ -8342,45 +8486,37 @@ function split32(msg, endian) { } return res; } -utils.split32 = split32; +exports.split32 = split32; function rotr32(w, b) { return (w >>> b) | (w << (32 - b)); } -utils.rotr32 = rotr32; +exports.rotr32 = rotr32; function rotl32(w, b) { return (w << b) | (w >>> (32 - b)); } -utils.rotl32 = rotl32; +exports.rotl32 = rotl32; function sum32(a, b) { return (a + b) >>> 0; } -utils.sum32 = sum32; +exports.sum32 = sum32; function sum32_3(a, b, c) { return (a + b + c) >>> 0; } -utils.sum32_3 = sum32_3; +exports.sum32_3 = sum32_3; function sum32_4(a, b, c, d) { return (a + b + c + d) >>> 0; } -utils.sum32_4 = sum32_4; +exports.sum32_4 = sum32_4; function sum32_5(a, b, c, d, e) { return (a + b + c + d + e) >>> 0; } -utils.sum32_5 = sum32_5; - -function assert(cond, msg) { - if (!cond) - throw new Error(msg || 'Assertion failed'); -} -utils.assert = assert; - -utils.inherits = inherits; +exports.sum32_5 = sum32_5; function sum64(buf, pos, ah, al) { var bh = buf[pos]; @@ -8397,13 +8533,13 @@ function sum64_hi(ah, al, bh, bl) { var lo = (al + bl) >>> 0; var hi = (lo < al ? 1 : 0) + ah + bh; return hi >>> 0; -}; +} exports.sum64_hi = sum64_hi; function sum64_lo(ah, al, bh, bl) { var lo = al + bl; return lo >>> 0; -}; +} exports.sum64_lo = sum64_lo; function sum64_4_hi(ah, al, bh, bl, ch, cl, dh, dl) { @@ -8418,13 +8554,13 @@ function sum64_4_hi(ah, al, bh, bl, ch, cl, dh, dl) { var hi = ah + bh + ch + dh + carry; return hi >>> 0; -}; +} exports.sum64_4_hi = sum64_4_hi; function sum64_4_lo(ah, al, bh, bl, ch, cl, dh, dl) { var lo = al + bl + cl + dl; return lo >>> 0; -}; +} exports.sum64_4_lo = sum64_4_lo; function sum64_5_hi(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { @@ -8441,40 +8577,40 @@ function sum64_5_hi(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { var hi = ah + bh + ch + dh + eh + carry; return hi >>> 0; -}; +} exports.sum64_5_hi = sum64_5_hi; function sum64_5_lo(ah, al, bh, bl, ch, cl, dh, dl, eh, el) { var lo = al + bl + cl + dl + el; return lo >>> 0; -}; +} exports.sum64_5_lo = sum64_5_lo; function rotr64_hi(ah, al, num) { var r = (al << (32 - num)) | (ah >>> num); return r >>> 0; -}; +} exports.rotr64_hi = rotr64_hi; function rotr64_lo(ah, al, num) { var r = (ah << (32 - num)) | (al >>> num); return r >>> 0; -}; +} exports.rotr64_lo = rotr64_lo; function shr64_hi(ah, al, num) { return ah >>> num; -}; +} exports.shr64_hi = shr64_hi; function shr64_lo(ah, al, num) { var r = (ah << (32 - num)) | (al >>> num); return r >>> 0; -}; +} exports.shr64_lo = shr64_lo; -},{"inherits":27}],25:[function(require,module,exports){ +},{"inherits":32,"minimalistic-assert":33}],31:[function(require,module,exports){ 'use strict'; var hash = require('hash.js'); @@ -8490,7 +8626,7 @@ function HmacDRBG(options) { this.outLen = this.hash.outSize; this.minEntropy = options.minEntropy || this.hash.hmacStrength; - this.reseed = null; + this._reseed = null; this.reseedInterval = null; this.K = null; this.V = null; @@ -8515,7 +8651,7 @@ HmacDRBG.prototype._init = function init(entropy, nonce, pers) { } this._update(seed); - this.reseed = 1; + this._reseed = 1; this.reseedInterval = 0x1000000000000; // 2^48 }; @@ -8557,11 +8693,11 @@ HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) { 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); this._update(entropy.concat(add || [])); - this.reseed = 1; + this._reseed = 1; }; HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { - if (this.reseed > this.reseedInterval) + if (this._reseed > this.reseedInterval) throw new Error('Reseed is required'); // Optional encoding @@ -8585,96 +8721,40 @@ HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { var res = temp.slice(0, len); this._update(add); - this.reseed++; + this._reseed++; return utils.encode(res, enc); }; -},{"hash.js":19,"minimalistic-assert":28,"minimalistic-crypto-utils":26}],26:[function(require,module,exports){ -'use strict'; - -var utils = exports; - -function toArray(msg, enc) { - if (Array.isArray(msg)) - return msg.slice(); - if (!msg) - return []; - var res = []; - if (typeof msg !== 'string') { - for (var i = 0; i < msg.length; i++) - res[i] = msg[i] | 0; - return res; - } - if (enc === 'hex') { - msg = msg.replace(/[^a-z0-9]+/ig, ''); - if (msg.length % 2 !== 0) - msg = '0' + msg; - for (var i = 0; i < msg.length; i += 2) - res.push(parseInt(msg[i] + msg[i + 1], 16)); - } else { - for (var i = 0; i < msg.length; i++) { - var c = msg.charCodeAt(i); - var hi = c >> 8; - var lo = c & 0xff; - if (hi) - res.push(hi, lo); - else - res.push(lo); - } - } - return res; -} -utils.toArray = toArray; - -function zero2(word) { - if (word.length === 1) - return '0' + word; - else - return word; -} -utils.zero2 = zero2; - -function toHex(msg) { - var res = ''; - for (var i = 0; i < msg.length; i++) - res += zero2(msg[i].toString(16)); - return res; -} -utils.toHex = toHex; - -utils.encode = function encode(arr, enc) { - if (enc === 'hex') - return toHex(arr); - else - return arr; -}; - -},{}],27:[function(require,module,exports){ +},{"hash.js":19,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],32:[function(require,module,exports){ if (typeof Object.create === 'function') { // implementation from standard node.js 'util' module module.exports = function inherits(ctor, superCtor) { - ctor.super_ = superCtor - ctor.prototype = Object.create(superCtor.prototype, { - constructor: { - value: ctor, - enumerable: false, - writable: true, - configurable: true - } - }); + if (superCtor) { + ctor.super_ = superCtor + ctor.prototype = Object.create(superCtor.prototype, { + constructor: { + value: ctor, + enumerable: false, + writable: true, + configurable: true + } + }) + } }; } else { // old school shim for old browsers module.exports = function inherits(ctor, superCtor) { - ctor.super_ = superCtor - var TempCtor = function () {} - TempCtor.prototype = superCtor.prototype - ctor.prototype = new TempCtor() - ctor.prototype.constructor = ctor + if (superCtor) { + ctor.super_ = superCtor + var TempCtor = function () {} + TempCtor.prototype = superCtor.prototype + ctor.prototype = new TempCtor() + ctor.prototype.constructor = ctor + } } } -},{}],28:[function(require,module,exports){ +},{}],33:[function(require,module,exports){ module.exports = assert; function assert(val, msg) { @@ -8687,7 +8767,7 @@ assert.equal = function assertEqual(l, r, msg) { throw new Error(msg || ('Assertion failed: ' + l + ' != ' + r)); }; -},{}],29:[function(require,module,exports){ +},{}],34:[function(require,module,exports){ 'use strict'; var utils = exports; @@ -8703,7 +8783,13 @@ function toArray(msg, enc) { res[i] = msg[i] | 0; return res; } - if (!enc) { + if (enc === 'hex') { + msg = msg.replace(/[^a-z0-9]+/ig, ''); + if (msg.length % 2 !== 0) + msg = '0' + msg; + for (var i = 0; i < msg.length; i += 2) + res.push(parseInt(msg[i] + msg[i + 1], 16)); + } else { for (var i = 0; i < msg.length; i++) { var c = msg.charCodeAt(i); var hi = c >> 8; @@ -8713,12 +8799,6 @@ function toArray(msg, enc) { else res.push(lo); } - } else if (enc === 'hex') { - msg = msg.replace(/[^a-z0-9]+/ig, ''); - if (msg.length % 2 !== 0) - msg = '0' + msg; - for (var i = 0; i < msg.length; i += 2) - res.push(parseInt(msg[i] + msg[i + 1], 16)); } return res; } @@ -8747,10 +8827,10 @@ utils.encode = function encode(arr, enc) { return arr; }; -},{}],30:[function(require,module,exports){ +},{}],35:[function(require,module,exports){ module.exports={ "name": "elliptic", - "version": "6.4.1", + "version": "6.5.3", "description": "EC cryptography", "main": "lib/elliptic.js", "files": [ @@ -8782,19 +8862,19 @@ module.exports={ "homepage": "https://github.com/indutny/elliptic", "devDependencies": { "brfs": "^1.4.3", - "coveralls": "^2.11.3", - "grunt": "^0.4.5", + "coveralls": "^3.0.8", + "grunt": "^1.0.4", "grunt-browserify": "^5.0.0", "grunt-cli": "^1.2.0", "grunt-contrib-connect": "^1.0.0", "grunt-contrib-copy": "^1.0.0", "grunt-contrib-uglify": "^1.0.1", "grunt-mocha-istanbul": "^3.0.1", - "grunt-saucelabs": "^8.6.2", + "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", - "jscs": "^2.9.0", - "jshint": "^2.6.0", - "mocha": "^2.1.0" + "jscs": 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0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){i.call(this,"mont",a),this.a=new g(a.a,16).toRed(this.red),this.b=new g(a.b,16).toRed(this.red),this.i4=new g(4).toRed(this.red).redInvm(),this.two=new g(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){i.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new g(b,16),this.z=new g(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("../curve"),g=a("bn.js"),h=a("inherits"),i=f.base,j=a("../../elliptic"),k=j.utils;h(d,i),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},h(e,i.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(k.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],6:[function(a,b,c){"use strict";function d(a){k.call(this,"short",a),this.a=new i(a.a,16).toRed(this.red),this.b=new i(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){k.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new i(b,16),this.y=new i(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){k.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new i(0)):(this.x=new i(b,16),this.y=new i(c,16),this.z=new i(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../curve"),h=a("../../elliptic"),i=a("bn.js"),j=a("inherits"),k=g.base,l=h.utils.assert;j(d,k),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new i(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new i(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],l(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new i(a.a,16),b:new i(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:i.mont(a),c=new i(2).toRed(b).redInvm(),d=c.redNeg(),e=new i(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,h,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new i(1),p=new i(0),q=new i(0),r=new i(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=h.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;h=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new i(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new i(a,16),this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},j(f,k.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../../elliptic":1,"../curve":4,"bn.js":16,inherits:27}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h.curve["short"](a):"edwards"===a.type?this.curve=new h.curve.edwards(a):this.curve=new h.curve.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,i(this.g.validate(),"Invalid curve"),i(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("../elliptic"),i=h.utils.assert;f.PresetCurve=d,e("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff",a:"ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc",b:"64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1",n:"ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831",hash:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("p224",{type:"short",prime:"p224",p:"ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001",a:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe",b:"b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4",n:"ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d",hash:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("p256",{type:"short",prime:null,p:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff",a:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("p384",{type:"short",prime:null,p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 ffffffff",a:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 fffffffc",b:"b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f 5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef",n:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 f4372ddf 581a0db2 48b0a77a ecec196a ccc52973",hash:g.sha384,gRed:!1,g:["aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 5502f25d bf55296c 3a545e38 72760ab7","3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 0a60b1ce 1d7e819d 7a431d7c 90ea0e5f"]}),e("p521",{type:"short",prime:null,p:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff",a:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffc",b:"00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b 99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd 3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00",n:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409",hash:g.sha512,gRed:!1,g:["000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66","00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 3fad0761 353c7086 a272c240 88be9476 9fd16650"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});var j;try{ -j=a("./precomputed/secp256k1")}catch(k){j=void 0}e("secp256k1",{type:"short",prime:"k256",p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f",a:"0",b:"7",n:"ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141",h:"1",hash:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",j]})},{"../elliptic":1,"./precomputed/secp256k1":14,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(i(g.curves.hasOwnProperty(a),"Unknown curve "+a),a=g.curves[a]),a instanceof g.curves.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../../elliptic"),h=g.utils,i=h.assert,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new j(this,a)},d.prototype.keyFromPrivate=function(a,b){return j.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return j.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||g.rand(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var h=new e(b.generate(c));if(!(h.cmp(d)>0))return h.iaddn(1),this.keyFromPrivate(h)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),l=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(l)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new k({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new k(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var l=this.g.mulAdd(i,c.getPublic(),j);return!l.isInfinity()&&0===l.getX().umod(this.n).cmp(f)}var l=this.g.jmulAdd(i,c.getPublic(),j);return!l.isInfinity()&&l.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){i((3&c)===c,"The recovery param is more than two bits"),b=new k(b,d);var f=this.n,g=new e(a),h=b.r,j=b.s,l=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),l):this.curve.pointFromX(h,l);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=j.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new k(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../../elliptic":1,"./key":9,"./signature":10,"bn.js":16,"hmac-drbg":25}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../../elliptic"),g=f.utils,h=g.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?h(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||h(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../../elliptic":1,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(l(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;for(var d=15&c,e=0,f=0,g=b.place;f>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../../elliptic"),k=j.utils,l=k.assert;b.exports=d,d.prototype._importDER=function(a,b){a=k.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c),h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var j=f(a,c);if(a.length!==j+c.place)return!1;var l=a.slice(c.place,j+c.place);return 0===h[0]&&128&h[1]&&(h=h.slice(1)),0===l[0]&&128&l[1]&&(l=l.slice(1)),this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),k.encode(f,a)}},{"../../elliptic":1,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f.curves[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../../elliptic"),g=f.utils,h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b=0;){var f;if(e.isOdd()){var g=e.andln(d-1);f=g>(d>>1)-1?(d>>1)-g:g,e.isubn(f)}else f=0;c.push(f);for(var h=0!==e.cmpn(0)&&0===e.andln(d-1)?b+1:1,i=1;i0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":28,"minimalistic-crypto-utils":29}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function j(a,b,c){c.negative=b.negative^a.negative;var d=a.length+b.length|0;c.length=d,d=d-1|0;var e=0|a.words[0],f=0|b.words[0],g=e*f,h=67108863&g,i=g/67108864|0;c.words[0]=h;for(var j=1;j>>26,l=67108863&i,m=Math.min(j,b.length-1),n=Math.max(0,j-a.length+1);n<=m;n++){var o=j-n|0;e=0|a.words[o],f=0|b.words[n],g=e*f+l,k+=g/67108864|0,l=67108863&g}c.words[j]=0|l,i=0|k}return 0!==i?c.words[j]=0|i:c.length--,c.strip()}function k(a,b,c){c.negative=b.negative^a.negative,c.length=a.length+b.length;for(var d=0,e=0,f=0;f>>26)|0,e+=g>>>26,g&=67108863}c.words[f]=h,d=g,g=e}return 0!==d?c.words[f]=d:c.length--,c.strip()}function l(a,b,c){var d=new m;return d.mulp(a,b,c)}function m(a,b){this.x=a,this.y=b}function n(a,b){this.name=a,this.p=new f(b,16),this.n=this.p.bitLength(),this.k=new f(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function o(){n.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function p(){n.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function q(){n.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function r(){n.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function s(a){if("string"==typeof a){var b=f._prime(a);this.m=b.p,this.prime=b}else d(a.gtn(1),"modulus must be greater than 1"),this.m=a,this.prime=null}function t(a){s.call(this,a),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new f(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}"object"==typeof b?b.exports=f:c.BN=f,f.BN=f,f.wordSize=26;var u;try{u=a("buffer").Buffer}catch(v){}f.isBN=function(a){return a instanceof f||null!==a&&"object"==typeof a&&a.constructor.wordSize===f.wordSize&&Array.isArray(a.words)},f.max=function(a,b){return a.cmp(b)>0?a:b},f.min=function(a,b){return a.cmp(b)<0?a:b},f.prototype._init=function(a,b,c){if("number"==typeof a)return this._initNumber(a,b,c);if("object"==typeof a)return this._initArray(a,b,c);"hex"===b&&(b=16),d(b===(0|b)&&b>=2&&b<=36),a=a.toString().replace(/\s+/g,"");var e=0;"-"===a[0]&&e++,16===b?this._parseHex(a,e):this._parseBase(a,b,e),"-"===a[0]&&(this.negative=1),this.strip(),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initNumber=function(a,b,c){a<0&&(this.negative=1,a=-a),a<67108864?(this.words=[67108863&a],this.length=1):a<4503599627370496?(this.words=[67108863&a,a/67108864&67108863],this.length=2):(d(a<9007199254740992),this.words=[67108863&a,a/67108864&67108863,1],this.length=3),"le"===c&&this._initArray(this.toArray(),b,c)},f.prototype._initArray=function(a,b,c){if(d("number"==typeof a.length),a.length<=0)return this.words=[0],this.length=1,this;this.length=Math.ceil(a.length/3),this.words=new Array(this.length);for(var 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Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1); -i&&(i.words[m]=n)}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 0!==f&&(this.words[g]=f,this.length++),this},f.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},f.prototype.cmpn=function(a){var b=a<0;if(0!==this.negative&&!b)return-1;if(0===this.negative&&b)return 1;this.strip();var c;if(this.length>1)c=1;else{b&&(a=-a),d(a<=67108863,"Number is too big");var e=0|this.words[0];c=e===a?0:ea.length)return 1;if(this.length=0;c--){var d=0|this.words[c],e=0|a.words[c];if(d!==e){de&&(b=1);break}}return b},f.prototype.gtn=function(a){return 1===this.cmpn(a)},f.prototype.gt=function(a){return 1===this.cmp(a)},f.prototype.gten=function(a){return this.cmpn(a)>=0},f.prototype.gte=function(a){return this.cmp(a)>=0},f.prototype.ltn=function(a){return this.cmpn(a)===-1},f.prototype.lt=function(a){return this.cmp(a)===-1},f.prototype.lten=function(a){return this.cmpn(a)<=0},f.prototype.lte=function(a){return this.cmp(a)<=0},f.prototype.eqn=function(a){return 0===this.cmpn(a)},f.prototype.eq=function(a){return 0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red 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l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return 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b="",c=0;c",license:"MIT",bugs:{url:"https://github.com/indutny/elliptic/issues"},homepage:"https://github.com/indutny/elliptic",devDependencies:{brfs:"^1.4.3",coveralls:"^2.11.3",grunt:"^0.4.5","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","grunt-contrib-connect":"^1.0.0","grunt-contrib-copy":"^1.0.0","grunt-contrib-uglify":"^1.0.1","grunt-mocha-istanbul":"^3.0.1","grunt-saucelabs":"^8.6.2",istanbul:"^0.4.2",jscs:"^2.9.0",jshint:"^2.6.0",mocha:"^2.1.0"},dependencies:{"bn.js":"^4.4.0",brorand:"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0",inherits:"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}},{}]},{},[1])(1)}); \ No newline at end of file +!function(a){if("object"==typeof exports&&"undefined"!=typeof module)module.exports=a();else if("function"==typeof define&&define.amd)define([],a);else{var b;b="undefined"!=typeof window?window:"undefined"!=typeof global?global:"undefined"!=typeof self?self:this,b.elliptic=a()}}(function(){return function(){function a(b,c,d){function e(g,h){if(!c[g]){if(!b[g]){var i="function"==typeof require&&require;if(!h&&i)return i(g,!0);if(f)return f(g,!0);var j=new Error("Cannot find module '"+g+"'");throw j.code="MODULE_NOT_FOUND",j}var k=c[g]={exports:{}};b[g][0].call(k.exports,function(a){var c=b[g][1][a];return e(c||a)},k,k.exports,a,b,c,d)}return c[g].exports}for(var f="function"==typeof require&&require,g=0;g0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function e(a,b){this.curve=a,this.type=b,this.precomputed=null}var f=a("bn.js"),g=a("../utils"),h=g.getNAF,i=g.getJSF,j=g.assert;b.exports=d,d.prototype.point=function(){throw new Error("Not implemented")},d.prototype.validate=function(){throw new Error("Not implemented")},d.prototype._fixedNafMul=function(a,b){j(a.precomputed);var c=a._getDoubles(),d=h(b,1,this._bitLength),e=(1<=g;b--)i=(i<<1)+d[b];f.push(i)}for(var k=this.jpoint(null,null,null),l=this.jpoint(null,null,null),m=e;m>0;m--){for(var g=0;g=0;i--){for(var b=0;i>=0&&0===f[i];i--)b++;if(i>=0&&b++,g=g.dblp(b),i<0)break;var k=f[i];j(0!==k),g="affine"===a.type?k>0?g.mixedAdd(e[k-1>>1]):g.mixedAdd(e[-k-1>>1].neg()):k>0?g.add(e[k-1>>1]):g.add(e[-k-1>>1].neg())}return"affine"===a.type?g.toP():g},d.prototype._wnafMulAdd=function(a,b,c,d,e){for(var f=this._wnafT1,g=this._wnafT2,j=this._wnafT3,k=0,l=0;l=1;l-=2){var o=l-1,p=l;if(1===f[o]&&1===f[p]){var q=[b[o],null,null,b[p]];0===b[o].y.cmp(b[p].y)?(q[1]=b[o].add(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg())):0===b[o].y.cmp(b[p].y.redNeg())?(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].add(b[p].neg())):(q[1]=b[o].toJ().mixedAdd(b[p]),q[2]=b[o].toJ().mixedAdd(b[p].neg()));var r=[-3,-1,-5,-7,0,7,5,1,3],s=i(c[o],c[p]);k=Math.max(s[0].length,k),j[o]=new Array(k),j[p]=new Array(k);for(var t=0;t=0;l--){for(var y=0;l>=0;){for(var z=!0,t=0;t=0&&y++,w=w.dblp(y),l<0)break;for(var t=0;t0?m=g[t][A-1>>1]:A<0&&(m=g[t][-A-1>>1].neg()),w="affine"===m.type?w.mixedAdd(m):w.add(m))}}for(var l=0;l=Math.ceil((a.bitLength()+1)/b.step)},e.prototype._getDoubles=function(a,b){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var c=[this],d=this,e=0;e":""},e.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},e.prototype._extDbl=function(){var a=this.x.redSqr(),b=this.y.redSqr(),c=this.z.redSqr();c=c.redIAdd(c);var d=this.curve._mulA(a),e=this.x.redAdd(this.y).redSqr().redISub(a).redISub(b),f=d.redAdd(b),g=f.redSub(c),h=d.redSub(b),i=e.redMul(g),j=f.redMul(h),k=e.redMul(h),l=g.redMul(f);return this.curve.point(i,j,l,k)},e.prototype._projDbl=function(){var a,b,c,d=this.x.redAdd(this.y).redSqr(),e=this.x.redSqr(),f=this.y.redSqr();if(this.curve.twisted){var g=this.curve._mulA(e),h=g.redAdd(f);if(this.zOne)a=d.redSub(e).redSub(f).redMul(h.redSub(this.curve.two)),b=h.redMul(g.redSub(f)),c=h.redSqr().redSub(h).redSub(h);else{var i=this.z.redSqr(),j=h.redSub(i).redISub(i);a=d.redSub(e).redISub(f).redMul(j),b=h.redMul(g.redSub(f)),c=h.redMul(j)}}else{var g=e.redAdd(f),i=this.curve._mulC(this.z).redSqr(),j=g.redSub(i).redSub(i);a=this.curve._mulC(d.redISub(g)).redMul(j),b=this.curve._mulC(g).redMul(e.redISub(f)),c=g.redMul(j)}return this.curve.point(a,b,c)},e.prototype.dbl=function(){return this.isInfinity()?this:this.curve.extended?this._extDbl():this._projDbl()},e.prototype._extAdd=function(a){var b=this.y.redSub(this.x).redMul(a.y.redSub(a.x)),c=this.y.redAdd(this.x).redMul(a.y.redAdd(a.x)),d=this.t.redMul(this.curve.dd).redMul(a.t),e=this.z.redMul(a.z.redAdd(a.z)),f=c.redSub(b),g=e.redSub(d),h=e.redAdd(d),i=c.redAdd(b),j=f.redMul(g),k=h.redMul(i),l=f.redMul(i),m=g.redMul(h);return this.curve.point(j,k,m,l)},e.prototype._projAdd=function(a){var b,c,d=this.z.redMul(a.z),e=d.redSqr(),f=this.x.redMul(a.x),g=this.y.redMul(a.y),h=this.curve.d.redMul(f).redMul(g),i=e.redSub(h),j=e.redAdd(h),k=this.x.redAdd(this.y).redMul(a.x.redAdd(a.y)).redISub(f).redISub(g),l=d.redMul(i).redMul(k);return this.curve.twisted?(b=d.redMul(j).redMul(g.redSub(this.curve._mulA(f))),c=i.redMul(j)):(b=d.redMul(j).redMul(g.redSub(f)),c=this.curve._mulC(i).redMul(j)),this.curve.point(l,b,c)},e.prototype.add=function(a){return this.isInfinity()?a:a.isInfinity()?this:this.curve.extended?this._extAdd(a):this._projAdd(a)},e.prototype.mul=function(a){return this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!1)},e.prototype.jmulAdd=function(a,b,c){return this.curve._wnafMulAdd(1,[this,b],[a,c],2,!0)},e.prototype.normalize=function(){if(this.zOne)return this;var a=this.z.redInvm();return this.x=this.x.redMul(a),this.y=this.y.redMul(a),this.t&&(this.t=this.t.redMul(a)),this.z=this.curve.one,this.zOne=!0,this},e.prototype.neg=function(){return this.curve.point(this.x.redNeg(),this.y,this.z,this.t&&this.t.redNeg())},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()},e.prototype.getY=function(){return this.normalize(),this.y.fromRed()},e.prototype.eq=function(a){return this===a||0===this.getX().cmp(a.getX())&&0===this.getY().cmp(a.getY())},e.prototype.eqXToP=function(a){var b=a.toRed(this.curve.red).redMul(this.z);if(0===this.x.cmp(b))return!0;for(var c=a.clone(),d=this.curve.redN.redMul(this.z);;){if(c.iadd(this.curve.n),c.cmp(this.curve.p)>=0)return!1;if(b.redIAdd(d),0===this.x.cmp(b))return!0}},e.prototype.toP=e.prototype.normalize,e.prototype.mixedAdd=e.prototype.add},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],4:[function(a,b,c){"use strict";var d=c;d.base=a("./base"),d["short"]=a("./short"),d.mont=a("./mont"),d.edwards=a("./edwards")},{"./base":2,"./edwards":3,"./mont":5,"./short":6}],5:[function(a,b,c){"use strict";function d(a){h.call(this,"mont",a),this.a=new f(a.a,16).toRed(this.red),this.b=new f(a.b,16).toRed(this.red),this.i4=new f(4).toRed(this.red).redInvm(),this.two=new f(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function e(a,b,c){h.BasePoint.call(this,a,"projective"),null===b&&null===c?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new f(b,16),this.z=new f(c,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}var f=a("bn.js"),g=a("inherits"),h=a("./base"),i=a("../utils");g(d,h),b.exports=d,d.prototype.validate=function(a){var b=a.normalize().x,c=b.redSqr(),d=c.redMul(b).redAdd(c.redMul(this.a)).redAdd(b),e=d.redSqrt();return 0===e.redSqr().cmp(d)},g(e,h.BasePoint),d.prototype.decodePoint=function(a,b){return this.point(i.toArray(a,b),1)},d.prototype.point=function(a,b){return new e(this,a,b)},d.prototype.pointFromJSON=function(a){return e.fromJSON(this,a)},e.prototype.precompute=function(){},e.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},e.fromJSON=function(a,b){return new e(a,b[0],b[1]||a.one)},e.prototype.inspect=function(){return this.isInfinity()?"":""},e.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},e.prototype.dbl=function(){var a=this.x.redAdd(this.z),b=a.redSqr(),c=this.x.redSub(this.z),d=c.redSqr(),e=b.redSub(d),f=b.redMul(d),g=e.redMul(d.redAdd(this.curve.a24.redMul(e)));return this.curve.point(f,g)},e.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.diffAdd=function(a,b){var c=this.x.redAdd(this.z),d=this.x.redSub(this.z),e=a.x.redAdd(a.z),f=a.x.redSub(a.z),g=f.redMul(c),h=e.redMul(d),i=b.z.redMul(g.redAdd(h).redSqr()),j=b.x.redMul(g.redISub(h).redSqr());return this.curve.point(i,j)},e.prototype.mul=function(a){for(var b=a.clone(),c=this,d=this.curve.point(null,null),e=this,f=[];0!==b.cmpn(0);b.iushrn(1))f.push(b.andln(1));for(var g=f.length-1;g>=0;g--)0===f[g]?(c=c.diffAdd(d,e),d=d.dbl()):(d=c.diffAdd(d,e),c=c.dbl());return d},e.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},e.prototype.eq=function(a){return 0===this.getX().cmp(a.getX())},e.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},e.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],6:[function(a,b,c){"use strict";function d(a){j.call(this,"short",a),this.a=new h(a.a,16).toRed(this.red),this.b=new h(a.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(a),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function e(a,b,c,d){j.BasePoint.call(this,a,"affine"),null===b&&null===c?(this.x=null,this.y=null,this.inf=!0):(this.x=new h(b,16),this.y=new h(c,16),d&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function f(a,b,c,d){j.BasePoint.call(this,a,"jacobian"),null===b&&null===c&&null===d?(this.x=this.curve.one,this.y=this.curve.one,this.z=new h(0)):(this.x=new h(b,16),this.y=new h(c,16),this.z=new h(d,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}var g=a("../utils"),h=a("bn.js"),i=a("inherits"),j=a("./base"),k=g.assert;i(d,j),b.exports=d,d.prototype._getEndomorphism=function(a){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var b,c;if(a.beta)b=new h(a.beta,16).toRed(this.red);else{var d=this._getEndoRoots(this.p);b=d[0].cmp(d[1])<0?d[0]:d[1],b=b.toRed(this.red)}if(a.lambda)c=new h(a.lambda,16);else{var e=this._getEndoRoots(this.n);0===this.g.mul(e[0]).x.cmp(this.g.x.redMul(b))?c=e[0]:(c=e[1],k(0===this.g.mul(c).x.cmp(this.g.x.redMul(b))))}var f;return f=a.basis?a.basis.map(function(a){return{a:new h(a.a,16),b:new h(a.b,16)}}):this._getEndoBasis(c),{beta:b,lambda:c,basis:f}}},d.prototype._getEndoRoots=function(a){var b=a===this.p?this.red:h.mont(a),c=new h(2).toRed(b).redInvm(),d=c.redNeg(),e=new h(3).toRed(b).redNeg().redSqrt().redMul(c),f=d.redAdd(e).fromRed(),g=d.redSub(e).fromRed();return[f,g]},d.prototype._getEndoBasis=function(a){for(var b,c,d,e,f,g,i,j,k,l=this.n.ushrn(Math.floor(this.n.bitLength()/2)),m=a,n=this.n.clone(),o=new h(1),p=new h(0),q=new h(0),r=new h(1),s=0;0!==m.cmpn(0);){var t=n.div(m);j=n.sub(t.mul(m)),k=q.sub(t.mul(o));var u=r.sub(t.mul(p));if(!d&&j.cmp(l)<0)b=i.neg(),c=o,d=j.neg(),e=k;else if(d&&2===++s)break;i=j,n=m,m=j,q=o,o=k,r=p,p=u}f=j.neg(),g=k;var v=d.sqr().add(e.sqr()),w=f.sqr().add(g.sqr());return w.cmp(v)>=0&&(f=b,g=c),d.negative&&(d=d.neg(),e=e.neg()),f.negative&&(f=f.neg(),g=g.neg()),[{a:d,b:e},{a:f,b:g}]},d.prototype._endoSplit=function(a){var b=this.endo.basis,c=b[0],d=b[1],e=d.b.mul(a).divRound(this.n),f=c.b.neg().mul(a).divRound(this.n),g=e.mul(c.a),h=f.mul(d.a),i=e.mul(c.b),j=f.mul(d.b),k=a.sub(g).sub(h),l=i.add(j).neg();return{k1:k,k2:l}},d.prototype.pointFromX=function(a,b){a=new h(a,16),a.red||(a=a.toRed(this.red));var c=a.redSqr().redMul(a).redIAdd(a.redMul(this.a)).redIAdd(this.b),d=c.redSqrt();if(0!==d.redSqr().redSub(c).cmp(this.zero))throw new Error("invalid point");var e=d.fromRed().isOdd();return(b&&!e||!b&&e)&&(d=d.redNeg()),this.point(a,d)},d.prototype.validate=function(a){if(a.inf)return!0;var b=a.x,c=a.y,d=this.a.redMul(b),e=b.redSqr().redMul(b).redIAdd(d).redIAdd(this.b);return 0===c.redSqr().redISub(e).cmpn(0)},d.prototype._endoWnafMulAdd=function(a,b,c){for(var d=this._endoWnafT1,e=this._endoWnafT2,f=0;f":""},e.prototype.isInfinity=function(){return this.inf},e.prototype.add=function(a){if(this.inf)return a;if(a.inf)return this;if(this.eq(a))return this.dbl();if(this.neg().eq(a))return this.curve.point(null,null);if(0===this.x.cmp(a.x))return this.curve.point(null,null);var b=this.y.redSub(a.y);0!==b.cmpn(0)&&(b=b.redMul(this.x.redSub(a.x).redInvm()));var c=b.redSqr().redISub(this.x).redISub(a.x),d=b.redMul(this.x.redSub(c)).redISub(this.y);return this.curve.point(c,d)},e.prototype.dbl=function(){if(this.inf)return this;var a=this.y.redAdd(this.y);if(0===a.cmpn(0))return this.curve.point(null,null);var b=this.curve.a,c=this.x.redSqr(),d=a.redInvm(),e=c.redAdd(c).redIAdd(c).redIAdd(b).redMul(d),f=e.redSqr().redISub(this.x.redAdd(this.x)),g=e.redMul(this.x.redSub(f)).redISub(this.y);return this.curve.point(f,g)},e.prototype.getX=function(){return this.x.fromRed()},e.prototype.getY=function(){return this.y.fromRed()},e.prototype.mul=function(a){return a=new h(a,16),this.isInfinity()?this:this._hasDoubles(a)?this.curve._fixedNafMul(this,a):this.curve.endo?this.curve._endoWnafMulAdd([this],[a]):this.curve._wnafMul(this,a)},e.prototype.mulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e):this.curve._wnafMulAdd(1,d,e,2)},e.prototype.jmulAdd=function(a,b,c){var d=[this,b],e=[a,c];return this.curve.endo?this.curve._endoWnafMulAdd(d,e,!0):this.curve._wnafMulAdd(1,d,e,2,!0)},e.prototype.eq=function(a){return this===a||this.inf===a.inf&&(this.inf||0===this.x.cmp(a.x)&&0===this.y.cmp(a.y))},e.prototype.neg=function(a){if(this.inf)return this;var b=this.curve.point(this.x,this.y.redNeg());if(a&&this.precomputed){var c=this.precomputed,d=function(a){return a.neg()};b.precomputed={naf:c.naf&&{wnd:c.naf.wnd,points:c.naf.points.map(d)},doubles:c.doubles&&{step:c.doubles.step,points:c.doubles.points.map(d)}}}return b},e.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var a=this.curve.jpoint(this.x,this.y,this.curve.one);return a},i(f,j.BasePoint),d.prototype.jpoint=function(a,b,c){return new f(this,a,b,c)},f.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var a=this.z.redInvm(),b=a.redSqr(),c=this.x.redMul(b),d=this.y.redMul(b).redMul(a);return this.curve.point(c,d)},f.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},f.prototype.add=function(a){if(this.isInfinity())return a;if(a.isInfinity())return this;var b=a.z.redSqr(),c=this.z.redSqr(),d=this.x.redMul(b),e=a.x.redMul(c),f=this.y.redMul(b.redMul(a.z)),g=a.y.redMul(c.redMul(this.z)),h=d.redSub(e),i=f.redSub(g);if(0===h.cmpn(0))return 0!==i.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var j=h.redSqr(),k=j.redMul(h),l=d.redMul(j),m=i.redSqr().redIAdd(k).redISub(l).redISub(l),n=i.redMul(l.redISub(m)).redISub(f.redMul(k)),o=this.z.redMul(a.z).redMul(h);return this.curve.jpoint(m,n,o)},f.prototype.mixedAdd=function(a){if(this.isInfinity())return a.toJ();if(a.isInfinity())return this;var b=this.z.redSqr(),c=this.x,d=a.x.redMul(b),e=this.y,f=a.y.redMul(b).redMul(this.z),g=c.redSub(d),h=e.redSub(f);if(0===g.cmpn(0))return 0!==h.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var i=g.redSqr(),j=i.redMul(g),k=c.redMul(i),l=h.redSqr().redIAdd(j).redISub(k).redISub(k),m=h.redMul(k.redISub(l)).redISub(e.redMul(j)),n=this.z.redMul(g);return this.curve.jpoint(l,m,n)},f.prototype.dblp=function(a){if(0===a)return this;if(this.isInfinity())return this;if(!a)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var b=this,c=0;c=0)return!1;if(c.redIAdd(e),0===this.x.cmp(c))return!0}},f.prototype.inspect=function(){return this.isInfinity()?"":""},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},{"../utils":15,"./base":2,"bn.js":16,inherits:32}],7:[function(a,b,c){"use strict";function d(a){"short"===a.type?this.curve=new h["short"](a):"edwards"===a.type?this.curve=new h.edwards(a):this.curve=new h.mont(a),this.g=this.curve.g,this.n=this.curve.n,this.hash=a.hash,j(this.g.validate(),"Invalid curve"),j(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function e(a,b){Object.defineProperty(f,a,{configurable:!0,enumerable:!0,get:function(){var c=new d(b);return Object.defineProperty(f,a,{configurable:!0,enumerable:!0,value:c}),c}})}var f=c,g=a("hash.js"),h=a("./curve"),i=a("./utils"),j=i.assert;f.PresetCurve=d,e("p192",{type:"short",prime:"p192",p:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff",a:"ffffffff ffffffff ffffffff fffffffe ffffffff fffffffc",b:"64210519 e59c80e7 0fa7e9ab 72243049 feb8deec c146b9b1",n:"ffffffff ffffffff ffffffff 99def836 146bc9b1 b4d22831",hash:g.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),e("p224",{type:"short",prime:"p224",p:"ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001",a:"ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff fffffffe",b:"b4050a85 0c04b3ab f5413256 5044b0b7 d7bfd8ba 270b3943 2355ffb4",n:"ffffffff ffffffff ffffffff ffff16a2 e0b8f03e 13dd2945 5c5c2a3d",hash:g.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),e("p256",{type:"short",prime:null,p:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff",a:"ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff fffffffc",b:"5ac635d8 aa3a93e7 b3ebbd55 769886bc 651d06b0 cc53b0f6 3bce3c3e 27d2604b",n:"ffffffff 00000000 ffffffff ffffffff bce6faad a7179e84 f3b9cac2 fc632551",hash:g.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),e("p384",{type:"short",prime:null,p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 ffffffff",a:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe ffffffff 00000000 00000000 fffffffc",b:"b3312fa7 e23ee7e4 988e056b e3f82d19 181d9c6e fe814112 0314088f 5013875a c656398d 8a2ed19d 2a85c8ed d3ec2aef",n:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff c7634d81 f4372ddf 581a0db2 48b0a77a ecec196a ccc52973",hash:g.sha384,gRed:!1,g:["aa87ca22 be8b0537 8eb1c71e f320ad74 6e1d3b62 8ba79b98 59f741e0 82542a38 5502f25d bf55296c 3a545e38 72760ab7","3617de4a 96262c6f 5d9e98bf 9292dc29 f8f41dbd 289a147c e9da3113 b5f0b8c0 0a60b1ce 1d7e819d 7a431d7c 90ea0e5f"]}),e("p521",{type:"short",prime:null,p:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff",a:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffc",b:"00000051 953eb961 8e1c9a1f 929a21a0 b68540ee a2da725b 99b315f3 b8b48991 8ef109e1 56193951 ec7e937b 1652c0bd 3bb1bf07 3573df88 3d2c34f1 ef451fd4 6b503f00",n:"000001ff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffa 51868783 bf2f966b 7fcc0148 f709a5d0 3bb5c9b8 899c47ae bb6fb71e 91386409",hash:g.sha512,gRed:!1,g:["000000c6 858e06b7 0404e9cd 9e3ecb66 2395b442 9c648139 053fb521 f828af60 6b4d3dba a14b5e77 efe75928 fe1dc127 a2ffa8de 3348b3c1 856a429b f97e7e31 c2e5bd66","00000118 39296a78 9a3bc004 5c8a5fb4 2c7d1bd9 98f54449 579b4468 17afbd17 273e662c 97ee7299 5ef42640 c550b901 3fad0761 353c7086 a272c240 88be9476 9fd16650"]}),e("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["9"]}),e("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:g.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"] +});var k;try{k=a("./precomputed/secp256k1")}catch(l){k=void 0}e("secp256k1",{type:"short",prime:"k256",p:"ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f",a:"0",b:"7",n:"ffffffff ffffffff ffffffff fffffffe baaedce6 af48a03b bfd25e8c d0364141",h:"1",hash:g.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",k]})},{"./curve":4,"./precomputed/secp256k1":14,"./utils":15,"hash.js":19}],8:[function(a,b,c){"use strict";function d(a){return this instanceof d?("string"==typeof a&&(j(h.hasOwnProperty(a),"Unknown curve "+a),a=h[a]),a instanceof h.PresetCurve&&(a={curve:a}),this.curve=a.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=a.curve.g,this.g.precompute(a.curve.n.bitLength()+1),void(this.hash=a.hash||a.curve.hash)):new d(a)}var e=a("bn.js"),f=a("hmac-drbg"),g=a("../utils"),h=a("../curves"),i=a("brorand"),j=g.assert,k=a("./key"),l=a("./signature");b.exports=d,d.prototype.keyPair=function(a){return new k(this,a)},d.prototype.keyFromPrivate=function(a,b){return k.fromPrivate(this,a,b)},d.prototype.keyFromPublic=function(a,b){return k.fromPublic(this,a,b)},d.prototype.genKeyPair=function(a){a||(a={});for(var b=new f({hash:this.hash,pers:a.pers,persEnc:a.persEnc||"utf8",entropy:a.entropy||i(this.hash.hmacStrength),entropyEnc:a.entropy&&a.entropyEnc||"utf8",nonce:this.n.toArray()}),c=this.n.byteLength(),d=this.n.sub(new e(2));;){var g=new e(b.generate(c));if(!(g.cmp(d)>0))return g.iaddn(1),this.keyFromPrivate(g)}},d.prototype._truncateToN=function(a,b){var c=8*a.byteLength()-this.n.bitLength();return c>0&&(a=a.ushrn(c)),!b&&a.cmp(this.n)>=0?a.sub(this.n):a},d.prototype.sign=function(a,b,c,d){"object"==typeof c&&(d=c,c=null),d||(d={}),b=this.keyFromPrivate(b,c),a=this._truncateToN(new e(a,16));for(var g=this.n.byteLength(),h=b.getPrivate().toArray("be",g),i=a.toArray("be",g),j=new f({hash:this.hash,entropy:h,nonce:i,pers:d.pers,persEnc:d.persEnc||"utf8"}),k=this.n.sub(new e(1)),m=0;!0;m++){var n=d.k?d.k(m):new e(j.generate(this.n.byteLength()));if(n=this._truncateToN(n,!0),!(n.cmpn(1)<=0||n.cmp(k)>=0)){var o=this.g.mul(n);if(!o.isInfinity()){var p=o.getX(),q=p.umod(this.n);if(0!==q.cmpn(0)){var r=n.invm(this.n).mul(q.mul(b.getPrivate()).iadd(a));if(r=r.umod(this.n),0!==r.cmpn(0)){var s=(o.getY().isOdd()?1:0)|(0!==p.cmp(q)?2:0);return d.canonical&&r.cmp(this.nh)>0&&(r=this.n.sub(r),s^=1),new l({r:q,s:r,recoveryParam:s})}}}}}},d.prototype.verify=function(a,b,c,d){a=this._truncateToN(new e(a,16)),c=this.keyFromPublic(c,d),b=new l(b,"hex");var f=b.r,g=b.s;if(f.cmpn(1)<0||f.cmp(this.n)>=0)return!1;if(g.cmpn(1)<0||g.cmp(this.n)>=0)return!1;var h=g.invm(this.n),i=h.mul(a).umod(this.n),j=h.mul(f).umod(this.n);if(!this.curve._maxwellTrick){var k=this.g.mulAdd(i,c.getPublic(),j);return!k.isInfinity()&&0===k.getX().umod(this.n).cmp(f)}var k=this.g.jmulAdd(i,c.getPublic(),j);return!k.isInfinity()&&k.eqXToP(f)},d.prototype.recoverPubKey=function(a,b,c,d){j((3&c)===c,"The recovery param is more than two bits"),b=new l(b,d);var f=this.n,g=new e(a),h=b.r,i=b.s,k=1&c,m=c>>1;if(h.cmp(this.curve.p.umod(this.curve.n))>=0&&m)throw new Error("Unable to find sencond key candinate");h=m?this.curve.pointFromX(h.add(this.curve.n),k):this.curve.pointFromX(h,k);var n=b.r.invm(f),o=f.sub(g).mul(n).umod(f),p=i.mul(n).umod(f);return this.g.mulAdd(o,h,p)},d.prototype.getKeyRecoveryParam=function(a,b,c,d){if(b=new l(b,d),null!==b.recoveryParam)return b.recoveryParam;for(var e=0;e<4;e++){var f;try{f=this.recoverPubKey(a,b,e)}catch(a){continue}if(f.eq(c))return e}throw new Error("Unable to find valid recovery factor")}},{"../curves":7,"../utils":15,"./key":9,"./signature":10,"bn.js":16,brorand:17,"hmac-drbg":31}],9:[function(a,b,c){"use strict";function d(a,b){this.ec=a,this.priv=null,this.pub=null,b.priv&&this._importPrivate(b.priv,b.privEnc),b.pub&&this._importPublic(b.pub,b.pubEnc)}var e=a("bn.js"),f=a("../utils"),g=f.assert;b.exports=d,d.fromPublic=function(a,b,c){return b instanceof d?b:new d(a,{pub:b,pubEnc:c})},d.fromPrivate=function(a,b,c){return b instanceof d?b:new d(a,{priv:b,privEnc:c})},d.prototype.validate=function(){var a=this.getPublic();return a.isInfinity()?{result:!1,reason:"Invalid public key"}:a.validate()?a.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},d.prototype.getPublic=function(a,b){return"string"==typeof a&&(b=a,a=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),b?this.pub.encode(b,a):this.pub},d.prototype.getPrivate=function(a){return"hex"===a?this.priv.toString(16,2):this.priv},d.prototype._importPrivate=function(a,b){this.priv=new e(a,b||16),this.priv=this.priv.umod(this.ec.curve.n)},d.prototype._importPublic=function(a,b){return a.x||a.y?("mont"===this.ec.curve.type?g(a.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||g(a.x&&a.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(a.x,a.y))):void(this.pub=this.ec.curve.decodePoint(a,b))},d.prototype.derive=function(a){return a.mul(this.priv).getX()},d.prototype.sign=function(a,b,c){return this.ec.sign(a,this,b,c)},d.prototype.verify=function(a,b){return this.ec.verify(a,b,this)},d.prototype.inspect=function(){return""}},{"../utils":15,"bn.js":16}],10:[function(a,b,c){"use strict";function d(a,b){return a instanceof d?a:void(this._importDER(a,b)||(k(a.r&&a.s,"Signature without r or s"),this.r=new i(a.r,16),this.s=new i(a.s,16),void 0===a.recoveryParam?this.recoveryParam=null:this.recoveryParam=a.recoveryParam))}function e(){this.place=0}function f(a,b){var c=a[b.place++];if(!(128&c))return c;var d=15&c;if(0===d||d>4)return!1;for(var e=0,f=0,g=b.place;f>>=0;return!(e<=127)&&(b.place=g,e)}function g(a){for(var b=0,c=a.length-1;!a[b]&&!(128&a[b+1])&&b>>3);for(a.push(128|c);--c;)a.push(b>>>(c<<3)&255);a.push(b)}var i=a("bn.js"),j=a("../utils"),k=j.assert;b.exports=d,d.prototype._importDER=function(a,b){a=j.toArray(a,b);var c=new e;if(48!==a[c.place++])return!1;var d=f(a,c);if(d===!1)return!1;if(d+c.place!==a.length)return!1;if(2!==a[c.place++])return!1;var g=f(a,c);if(g===!1)return!1;var h=a.slice(c.place,g+c.place);if(c.place+=g,2!==a[c.place++])return!1;var k=f(a,c);if(k===!1)return!1;if(a.length!==k+c.place)return!1;var l=a.slice(c.place,k+c.place);if(0===h[0]){if(!(128&h[1]))return!1;h=h.slice(1)}if(0===l[0]){if(!(128&l[1]))return!1;l=l.slice(1)}return this.r=new i(h),this.s=new i(l),this.recoveryParam=null,!0},d.prototype.toDER=function(a){var b=this.r.toArray(),c=this.s.toArray();for(128&b[0]&&(b=[0].concat(b)),128&c[0]&&(c=[0].concat(c)),b=g(b),c=g(c);!(c[0]||128&c[1]);)c=c.slice(1);var d=[2];h(d,b.length),d=d.concat(b),d.push(2),h(d,c.length);var e=d.concat(c),f=[48];return h(f,e.length),f=f.concat(e),j.encode(f,a)}},{"../utils":15,"bn.js":16}],11:[function(a,b,c){"use strict";function d(a){if(h("ed25519"===a,"only tested with ed25519 so far"),!(this instanceof d))return new d(a);var a=f[a].curve;this.curve=a,this.g=a.g,this.g.precompute(a.n.bitLength()+1),this.pointClass=a.point().constructor,this.encodingLength=Math.ceil(a.n.bitLength()/8),this.hash=e.sha512}var e=a("hash.js"),f=a("../curves"),g=a("../utils"),h=g.assert,i=g.parseBytes,j=a("./key"),k=a("./signature");b.exports=d,d.prototype.sign=function(a,b){a=i(a);var c=this.keyFromSecret(b),d=this.hashInt(c.messagePrefix(),a),e=this.g.mul(d),f=this.encodePoint(e),g=this.hashInt(f,c.pubBytes(),a).mul(c.priv()),h=d.add(g).umod(this.curve.n);return this.makeSignature({R:e,S:h,Rencoded:f})},d.prototype.verify=function(a,b,c){a=i(a),b=this.makeSignature(b);var d=this.keyFromPublic(c),e=this.hashInt(b.Rencoded(),d.pubBytes(),a),f=this.g.mul(b.S()),g=b.R().add(d.pub().mul(e));return g.eq(f)},d.prototype.hashInt=function(){for(var a=this.hash(),b=0;b(e>>1)-1?(e>>1)-i:i,f.isubn(h)):h=0,d[g]=h,f.iushrn(1)}return d}function e(a,b){var c=[[],[]];a=a.clone(),b=b.clone();for(var d=0,e=0;a.cmpn(-d)>0||b.cmpn(-e)>0;){var f=a.andln(3)+d&3,g=b.andln(3)+e&3;3===f&&(f=-1),3===g&&(g=-1);var h;if(0===(1&f))h=0;else{var i=a.andln(7)+d&7;h=3!==i&&5!==i||2!==g?f:-f}c[0].push(h);var j;if(0===(1&g))j=0;else{var i=b.andln(7)+e&7;j=3!==i&&5!==i||2!==f?g:-g}c[1].push(j),2*d===h+1&&(d=1-d),2*e===j+1&&(e=1-e),a.iushrn(1),b.iushrn(1)}return c}function f(a,b,c){var d="_"+b;a.prototype[b]=function(){return void 0!==this[d]?this[d]:this[d]=c.call(this)}}function g(a){return"string"==typeof a?i.toArray(a,"hex"):a}function h(a){return new j(a,"hex","le")}var i=c,j=a("bn.js"),k=a("minimalistic-assert"),l=a("minimalistic-crypto-utils");i.assert=k,i.toArray=l.toArray,i.zero2=l.zero2,i.toHex=l.toHex,i.encode=l.encode,i.getNAF=d,i.getJSF=e,i.cachedProperty=f,i.parseBytes=g,i.intFromLE=h},{"bn.js":16,"minimalistic-assert":33,"minimalistic-crypto-utils":34}],16:[function(a,b,c){!function(b,c){"use strict";function d(a,b){if(!a)throw new Error(b||"Assertion failed")}function e(a,b){a.super_=b;var c=function(){};c.prototype=b.prototype,a.prototype=new c,a.prototype.constructor=a}function f(a,b,c){return f.isBN(a)?a:(this.negative=0,this.words=null,this.length=0,this.red=null,void(null!==a&&("le"!==b&&"be"!==b||(c=b,b=10),this._init(a||0,b||10,c||"be"))))}function g(a,b,c){for(var d=0,e=Math.min(a.length,c),f=b;f=49&&g<=54?g-49+10:g>=17&&g<=22?g-17+10:15&g}return d}function h(a,b,c,d){for(var e=0,f=Math.min(a.length,c),g=b;g=49?h-49+10:h>=17?h-17+10:h}return e}function i(a){for(var b=new Array(a.bitLength()),c=0;c>>e}return b}function 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e=0,f=0,g=0;g>>24-e&16777215,c=0!==f||g!==this.length-1?w[6-i.length]+i+c:i+c,e+=2,e>=26&&(e-=26,g--)}for(0!==f&&(c=f.toString(16)+c);c.length%b!==0;)c="0"+c;return 0!==this.negative&&(c="-"+c),c}if(a===(0|a)&&a>=2&&a<=36){var j=x[a],k=y[a];c="";var l=this.clone();for(l.negative=0;!l.isZero();){var m=l.modn(k).toString(a);l=l.idivn(k),c=l.isZero()?m+c:w[j-m.length]+m+c}for(this.isZero()&&(c="0"+c);c.length%b!==0;)c="0"+c;return 0!==this.negative&&(c="-"+c),c}d(!1,"Base should be between 2 and 36")},f.prototype.toNumber=function(){var a=this.words[0];return 2===this.length?a+=67108864*this.words[1]:3===this.length&&1===this.words[2]?a+=4503599627370496+67108864*this.words[1]:this.length>2&&d(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-a:a},f.prototype.toJSON=function(){return this.toString(16)},f.prototype.toBuffer=function(a,b){return d("undefined"!=typeof u),this.toArrayLike(u,a,b)},f.prototype.toArray=function(a,b){return 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ra=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ra>>>26)|0,ra&=67108863,d=Math.imul(r,P),e=Math.imul(r,Q),e=e+Math.imul(s,P)|0,f=Math.imul(s,Q),d=d+Math.imul(o,S)|0,e=e+Math.imul(o,T)|0,e=e+Math.imul(p,S)|0,f=f+Math.imul(p,T)|0,d=d+Math.imul(l,V)|0,e=e+Math.imul(l,W)|0,e=e+Math.imul(m,V)|0,f=f+Math.imul(m,W)|0;var sa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(sa>>>26)|0,sa&=67108863,d=Math.imul(u,P),e=Math.imul(u,Q),e=e+Math.imul(v,P)|0,f=Math.imul(v,Q),d=d+Math.imul(r,S)|0,e=e+Math.imul(r,T)|0,e=e+Math.imul(s,S)|0,f=f+Math.imul(s,T)|0,d=d+Math.imul(o,V)|0,e=e+Math.imul(o,W)|0,e=e+Math.imul(p,V)|0,f=f+Math.imul(p,W)|0,d=d+Math.imul(l,Y)|0,e=e+Math.imul(l,Z)|0,e=e+Math.imul(m,Y)|0,f=f+Math.imul(m,Z)|0;var 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va=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(va>>>26)|0,va&=67108863,d=Math.imul(D,P),e=Math.imul(D,Q),e=e+Math.imul(E,P)|0,f=Math.imul(E,Q),d=d+Math.imul(A,S)|0,e=e+Math.imul(A,T)|0,e=e+Math.imul(B,S)|0,f=f+Math.imul(B,T)|0,d=d+Math.imul(x,V)|0,e=e+Math.imul(x,W)|0,e=e+Math.imul(y,V)|0,f=f+Math.imul(y,W)|0,d=d+Math.imul(u,Y)|0,e=e+Math.imul(u,Z)|0,e=e+Math.imul(v,Y)|0,f=f+Math.imul(v,Z)|0,d=d+Math.imul(r,_)|0,e=e+Math.imul(r,aa)|0,e=e+Math.imul(s,_)|0,f=f+Math.imul(s,aa)|0,d=d+Math.imul(o,ca)|0,e=e+Math.imul(o,da)|0,e=e+Math.imul(p,ca)|0,f=f+Math.imul(p,da)|0,d=d+Math.imul(l,fa)|0,e=e+Math.imul(l,ga)|0,e=e+Math.imul(m,fa)|0,f=f+Math.imul(m,ga)|0;var wa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(wa>>>26)|0,wa&=67108863,d=Math.imul(G,P),e=Math.imul(G,Q),e=e+Math.imul(H,P)|0,f=Math.imul(H,Q),d=d+Math.imul(D,S)|0,e=e+Math.imul(D,T)|0,e=e+Math.imul(E,S)|0,f=f+Math.imul(E,T)|0,d=d+Math.imul(A,V)|0,e=e+Math.imul(A,W)|0,e=e+Math.imul(B,V)|0,f=f+Math.imul(B,W)|0,d=d+Math.imul(x,Y)|0,e=e+Math.imul(x,Z)|0,e=e+Math.imul(y,Y)|0,f=f+Math.imul(y,Z)|0,d=d+Math.imul(u,_)|0,e=e+Math.imul(u,aa)|0,e=e+Math.imul(v,_)|0,f=f+Math.imul(v,aa)|0,d=d+Math.imul(r,ca)|0,e=e+Math.imul(r,da)|0,e=e+Math.imul(s,ca)|0,f=f+Math.imul(s,da)|0,d=d+Math.imul(o,fa)|0,e=e+Math.imul(o,ga)|0,e=e+Math.imul(p,fa)|0,f=f+Math.imul(p,ga)|0,d=d+Math.imul(l,ia)|0,e=e+Math.imul(l,ja)|0,e=e+Math.imul(m,ia)|0,f=f+Math.imul(m,ja)|0;var xa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(xa>>>26)|0,xa&=67108863,d=Math.imul(J,P),e=Math.imul(J,Q),e=e+Math.imul(K,P)|0,f=Math.imul(K,Q),d=d+Math.imul(G,S)|0,e=e+Math.imul(G,T)|0,e=e+Math.imul(H,S)|0,f=f+Math.imul(H,T)|0,d=d+Math.imul(D,V)|0,e=e+Math.imul(D,W)|0,e=e+Math.imul(E,V)|0,f=f+Math.imul(E,W)|0,d=d+Math.imul(A,Y)|0,e=e+Math.imul(A,Z)|0,e=e+Math.imul(B,Y)|0,f=f+Math.imul(B,Z)|0,d=d+Math.imul(x,_)|0,e=e+Math.imul(x,aa)|0,e=e+Math.imul(y,_)|0,f=f+Math.imul(y,aa)|0,d=d+Math.imul(u,ca)|0,e=e+Math.imul(u,da)|0,e=e+Math.imul(v,ca)|0,f=f+Math.imul(v,da)|0,d=d+Math.imul(r,fa)|0,e=e+Math.imul(r,ga)|0,e=e+Math.imul(s,fa)|0,f=f+Math.imul(s,ga)|0,d=d+Math.imul(o,ia)|0,e=e+Math.imul(o,ja)|0,e=e+Math.imul(p,ia)|0,f=f+Math.imul(p,ja)|0,d=d+Math.imul(l,la)|0,e=e+Math.imul(l,ma)|0,e=e+Math.imul(m,la)|0,f=f+Math.imul(m,ma)|0;var ya=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(ya>>>26)|0,ya&=67108863,d=Math.imul(M,P),e=Math.imul(M,Q),e=e+Math.imul(N,P)|0,f=Math.imul(N,Q),d=d+Math.imul(J,S)|0,e=e+Math.imul(J,T)|0,e=e+Math.imul(K,S)|0,f=f+Math.imul(K,T)|0,d=d+Math.imul(G,V)|0,e=e+Math.imul(G,W)|0,e=e+Math.imul(H,V)|0,f=f+Math.imul(H,W)|0,d=d+Math.imul(D,Y)|0,e=e+Math.imul(D,Z)|0,e=e+Math.imul(E,Y)|0,f=f+Math.imul(E,Z)|0,d=d+Math.imul(A,_)|0,e=e+Math.imul(A,aa)|0,e=e+Math.imul(B,_)|0,f=f+Math.imul(B,aa)|0,d=d+Math.imul(x,ca)|0,e=e+Math.imul(x,da)|0,e=e+Math.imul(y,ca)|0,f=f+Math.imul(y,da)|0,d=d+Math.imul(u,fa)|0,e=e+Math.imul(u,ga)|0,e=e+Math.imul(v,fa)|0,f=f+Math.imul(v,ga)|0,d=d+Math.imul(r,ia)|0,e=e+Math.imul(r,ja)|0,e=e+Math.imul(s,ia)|0,f=f+Math.imul(s,ja)|0,d=d+Math.imul(o,la)|0,e=e+Math.imul(o,ma)|0,e=e+Math.imul(p,la)|0,f=f+Math.imul(p,ma)|0,d=d+Math.imul(l,oa)|0,e=e+Math.imul(l,pa)|0,e=e+Math.imul(m,oa)|0,f=f+Math.imul(m,pa)|0;var za=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(za>>>26)|0,za&=67108863,d=Math.imul(M,S),e=Math.imul(M,T),e=e+Math.imul(N,S)|0,f=Math.imul(N,T),d=d+Math.imul(J,V)|0,e=e+Math.imul(J,W)|0,e=e+Math.imul(K,V)|0,f=f+Math.imul(K,W)|0,d=d+Math.imul(G,Y)|0,e=e+Math.imul(G,Z)|0,e=e+Math.imul(H,Y)|0,f=f+Math.imul(H,Z)|0,d=d+Math.imul(D,_)|0,e=e+Math.imul(D,aa)|0,e=e+Math.imul(E,_)|0,f=f+Math.imul(E,aa)|0,d=d+Math.imul(A,ca)|0,e=e+Math.imul(A,da)|0,e=e+Math.imul(B,ca)|0,f=f+Math.imul(B,da)|0,d=d+Math.imul(x,fa)|0,e=e+Math.imul(x,ga)|0,e=e+Math.imul(y,fa)|0,f=f+Math.imul(y,ga)|0,d=d+Math.imul(u,ia)|0,e=e+Math.imul(u,ja)|0,e=e+Math.imul(v,ia)|0,f=f+Math.imul(v,ja)|0,d=d+Math.imul(r,la)|0,e=e+Math.imul(r,ma)|0,e=e+Math.imul(s,la)|0,f=f+Math.imul(s,ma)|0,d=d+Math.imul(o,oa)|0,e=e+Math.imul(o,pa)|0,e=e+Math.imul(p,oa)|0,f=f+Math.imul(p,pa)|0;var Aa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Aa>>>26)|0,Aa&=67108863,d=Math.imul(M,V),e=Math.imul(M,W),e=e+Math.imul(N,V)|0,f=Math.imul(N,W),d=d+Math.imul(J,Y)|0,e=e+Math.imul(J,Z)|0,e=e+Math.imul(K,Y)|0,f=f+Math.imul(K,Z)|0,d=d+Math.imul(G,_)|0,e=e+Math.imul(G,aa)|0,e=e+Math.imul(H,_)|0,f=f+Math.imul(H,aa)|0,d=d+Math.imul(D,ca)|0,e=e+Math.imul(D,da)|0,e=e+Math.imul(E,ca)|0,f=f+Math.imul(E,da)|0,d=d+Math.imul(A,fa)|0,e=e+Math.imul(A,ga)|0,e=e+Math.imul(B,fa)|0,f=f+Math.imul(B,ga)|0,d=d+Math.imul(x,ia)|0,e=e+Math.imul(x,ja)|0,e=e+Math.imul(y,ia)|0,f=f+Math.imul(y,ja)|0,d=d+Math.imul(u,la)|0,e=e+Math.imul(u,ma)|0,e=e+Math.imul(v,la)|0,f=f+Math.imul(v,ma)|0,d=d+Math.imul(r,oa)|0,e=e+Math.imul(r,pa)|0,e=e+Math.imul(s,oa)|0,f=f+Math.imul(s,pa)|0;var Ba=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ba>>>26)|0,Ba&=67108863,d=Math.imul(M,Y),e=Math.imul(M,Z),e=e+Math.imul(N,Y)|0,f=Math.imul(N,Z),d=d+Math.imul(J,_)|0,e=e+Math.imul(J,aa)|0,e=e+Math.imul(K,_)|0,f=f+Math.imul(K,aa)|0,d=d+Math.imul(G,ca)|0,e=e+Math.imul(G,da)|0,e=e+Math.imul(H,ca)|0,f=f+Math.imul(H,da)|0,d=d+Math.imul(D,fa)|0,e=e+Math.imul(D,ga)|0,e=e+Math.imul(E,fa)|0,f=f+Math.imul(E,ga)|0,d=d+Math.imul(A,ia)|0,e=e+Math.imul(A,ja)|0,e=e+Math.imul(B,ia)|0,f=f+Math.imul(B,ja)|0,d=d+Math.imul(x,la)|0,e=e+Math.imul(x,ma)|0,e=e+Math.imul(y,la)|0,f=f+Math.imul(y,ma)|0,d=d+Math.imul(u,oa)|0,e=e+Math.imul(u,pa)|0,e=e+Math.imul(v,oa)|0,f=f+Math.imul(v,pa)|0;var Ca=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ca>>>26)|0,Ca&=67108863,d=Math.imul(M,_),e=Math.imul(M,aa),e=e+Math.imul(N,_)|0,f=Math.imul(N,aa),d=d+Math.imul(J,ca)|0,e=e+Math.imul(J,da)|0,e=e+Math.imul(K,ca)|0,f=f+Math.imul(K,da)|0,d=d+Math.imul(G,fa)|0,e=e+Math.imul(G,ga)|0,e=e+Math.imul(H,fa)|0,f=f+Math.imul(H,ga)|0,d=d+Math.imul(D,ia)|0,e=e+Math.imul(D,ja)|0,e=e+Math.imul(E,ia)|0,f=f+Math.imul(E,ja)|0,d=d+Math.imul(A,la)|0,e=e+Math.imul(A,ma)|0,e=e+Math.imul(B,la)|0,f=f+Math.imul(B,ma)|0,d=d+Math.imul(x,oa)|0,e=e+Math.imul(x,pa)|0,e=e+Math.imul(y,oa)|0,f=f+Math.imul(y,pa)|0;var Da=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Da>>>26)|0,Da&=67108863,d=Math.imul(M,ca),e=Math.imul(M,da),e=e+Math.imul(N,ca)|0,f=Math.imul(N,da),d=d+Math.imul(J,fa)|0,e=e+Math.imul(J,ga)|0,e=e+Math.imul(K,fa)|0,f=f+Math.imul(K,ga)|0,d=d+Math.imul(G,ia)|0,e=e+Math.imul(G,ja)|0,e=e+Math.imul(H,ia)|0,f=f+Math.imul(H,ja)|0,d=d+Math.imul(D,la)|0,e=e+Math.imul(D,ma)|0,e=e+Math.imul(E,la)|0,f=f+Math.imul(E,ma)|0,d=d+Math.imul(A,oa)|0,e=e+Math.imul(A,pa)|0,e=e+Math.imul(B,oa)|0,f=f+Math.imul(B,pa)|0;var Ea=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ea>>>26)|0,Ea&=67108863,d=Math.imul(M,fa),e=Math.imul(M,ga),e=e+Math.imul(N,fa)|0,f=Math.imul(N,ga),d=d+Math.imul(J,ia)|0,e=e+Math.imul(J,ja)|0,e=e+Math.imul(K,ia)|0,f=f+Math.imul(K,ja)|0,d=d+Math.imul(G,la)|0,e=e+Math.imul(G,ma)|0,e=e+Math.imul(H,la)|0,f=f+Math.imul(H,ma)|0,d=d+Math.imul(D,oa)|0,e=e+Math.imul(D,pa)|0,e=e+Math.imul(E,oa)|0,f=f+Math.imul(E,pa)|0;var Fa=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Fa>>>26)|0,Fa&=67108863,d=Math.imul(M,ia),e=Math.imul(M,ja),e=e+Math.imul(N,ia)|0,f=Math.imul(N,ja),d=d+Math.imul(J,la)|0,e=e+Math.imul(J,ma)|0,e=e+Math.imul(K,la)|0,f=f+Math.imul(K,ma)|0,d=d+Math.imul(G,oa)|0,e=e+Math.imul(G,pa)|0,e=e+Math.imul(H,oa)|0,f=f+Math.imul(H,pa)|0;var Ga=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ga>>>26)|0,Ga&=67108863,d=Math.imul(M,la),e=Math.imul(M,ma),e=e+Math.imul(N,la)|0,f=Math.imul(N,ma),d=d+Math.imul(J,oa)|0,e=e+Math.imul(J,pa)|0,e=e+Math.imul(K,oa)|0,f=f+Math.imul(K,pa)|0;var Ha=(j+d|0)+((8191&e)<<13)|0;j=(f+(e>>>13)|0)+(Ha>>>26)|0,Ha&=67108863,d=Math.imul(M,oa),e=Math.imul(M,pa),e=e+Math.imul(N,oa)|0,f=Math.imul(N,pa);var Ia=(j+d|0)+((8191&e)<<13)|0;return j=(f+(e>>>13)|0)+(Ia>>>26)|0,Ia&=67108863,i[0]=qa,i[1]=ra,i[2]=sa,i[3]=ta,i[4]=ua,i[5]=va,i[6]=wa,i[7]=xa,i[8]=ya,i[9]=za,i[10]=Aa,i[11]=Ba,i[12]=Ca,i[13]=Da,i[14]=Ea,i[15]=Fa,i[16]=Ga,i[17]=Ha,i[18]=Ia,0!==j&&(i[19]=j,c.length++),c};Math.imul||(z=j),f.prototype.mulTo=function(a,b){var c,d=this.length+a.length;return c=10===this.length&&10===a.length?z(this,a,b):d<63?j(this,a,b):d<1024?k(this,a,b):l(this,a,b)},m.prototype.makeRBT=function(a){for(var b=new Array(a),c=f.prototype._countBits(a)-1,d=0;d>=1;return d},m.prototype.permute=function(a,b,c,d,e,f){for(var g=0;g>>=1)e++;return 1<>>=13,c[2*g+1]=8191&f,f>>>=13;for(g=2*b;g>=26,b+=e/67108864|0,b+=f>>>26,this.words[c]=67108863&f}return 0!==b&&(this.words[c]=b,this.length++),this},f.prototype.muln=function(a){return this.clone().imuln(a)},f.prototype.sqr=function(){return this.mul(this)},f.prototype.isqr=function(){return this.imul(this.clone())},f.prototype.pow=function(a){var b=i(a);if(0===b.length)return new f(1);for(var c=this,d=0;d=0);var b,c=a%26,e=(a-c)/26,f=67108863>>>26-c<<26-c;if(0!==c){var g=0;for(b=0;b>>26-c}g&&(this.words[b]=g,this.length++)}if(0!==e){for(b=this.length-1;b>=0;b--)this.words[b+e]=this.words[b];for(b=0;b=0);var e;e=b?(b-b%26)/26:0;var f=a%26,g=Math.min((a-f)/26,this.length),h=67108863^67108863>>>f<g)for(this.length-=g,j=0;j=0&&(0!==k||j>=e);j--){var l=0|this.words[j];this.words[j]=k<<26-f|l>>>f,k=l&h}return i&&0!==k&&(i.words[i.length++]=k),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},f.prototype.ishrn=function(a,b,c){return d(0===this.negative),this.iushrn(a,b,c)},f.prototype.shln=function(a){return this.clone().ishln(a)},f.prototype.ushln=function(a){return this.clone().iushln(a)},f.prototype.shrn=function(a){return this.clone().ishrn(a)},f.prototype.ushrn=function(a){return this.clone().iushrn(a)},f.prototype.testn=function(a){d("number"==typeof a&&a>=0);var b=a%26,c=(a-b)/26,e=1<=0);var b=a%26,c=(a-b)/26;if(d(0===this.negative,"imaskn works only with positive numbers"),this.length<=c)return this;if(0!==b&&c++,this.length=Math.min(c,this.length),0!==b){var e=67108863^67108863>>>b<=67108864;b++)this.words[b]-=67108864,b===this.length-1?this.words[b+1]=1:this.words[b+1]++;return this.length=Math.max(this.length,b+1),this},f.prototype.isubn=function(a){if(d("number"==typeof a),d(a<67108864),a<0)return this.iaddn(-a);if(0!==this.negative)return this.negative=0,this.iaddn(a),this.negative=1,this;if(this.words[0]-=a,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var b=0;b>26)-(i/67108864|0),this.words[e+c]=67108863&g}for(;e>26,this.words[e+c]=67108863&g;if(0===h)return this.strip();for(d(h===-1),h=0,e=0;e>26,this.words[e]=67108863&g;return this.negative=1,this.strip()},f.prototype._wordDiv=function(a,b){var c=this.length-a.length,d=this.clone(),e=a,g=0|e.words[e.length-1],h=this._countBits(g);c=26-h,0!==c&&(e=e.ushln(c),d.iushln(c),g=0|e.words[e.length-1]);var i,j=d.length-e.length;if("mod"!==b){i=new f(null),i.length=j+1,i.words=new Array(i.length);for(var k=0;k=0;m--){var n=67108864*(0|d.words[e.length+m])+(0|d.words[e.length+m-1]);for(n=Math.min(n/g|0,67108863),d._ishlnsubmul(e,n,m);0!==d.negative;)n--,d.negative=0,d._ishlnsubmul(e,1,m),d.isZero()||(d.negative^=1);i&&(i.words[m]=n); +}return i&&i.strip(),d.strip(),"div"!==b&&0!==c&&d.iushrn(c),{div:i||null,mod:d}},f.prototype.divmod=function(a,b,c){if(d(!a.isZero()),this.isZero())return{div:new f(0),mod:new f(0)};var e,g,h;return 0!==this.negative&&0===a.negative?(h=this.neg().divmod(a,b),"mod"!==b&&(e=h.div.neg()),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.iadd(a)),{div:e,mod:g}):0===this.negative&&0!==a.negative?(h=this.divmod(a.neg(),b),"mod"!==b&&(e=h.div.neg()),{div:e,mod:h.mod}):0!==(this.negative&a.negative)?(h=this.neg().divmod(a.neg(),b),"div"!==b&&(g=h.mod.neg(),c&&0!==g.negative&&g.isub(a)),{div:h.div,mod:g}):a.length>this.length||this.cmp(a)<0?{div:new f(0),mod:this}:1===a.length?"div"===b?{div:this.divn(a.words[0]),mod:null}:"mod"===b?{div:null,mod:new f(this.modn(a.words[0]))}:{div:this.divn(a.words[0]),mod:new f(this.modn(a.words[0]))}:this._wordDiv(a,b)},f.prototype.div=function(a){return this.divmod(a,"div",!1).div},f.prototype.mod=function(a){return this.divmod(a,"mod",!1).mod},f.prototype.umod=function(a){return this.divmod(a,"mod",!0).mod},f.prototype.divRound=function(a){var b=this.divmod(a);if(b.mod.isZero())return b.div;var c=0!==b.div.negative?b.mod.isub(a):b.mod,d=a.ushrn(1),e=a.andln(1),f=c.cmp(d);return f<0||1===e&&0===f?b.div:0!==b.div.negative?b.div.isubn(1):b.div.iaddn(1)},f.prototype.modn=function(a){d(a<=67108863);for(var b=(1<<26)%a,c=0,e=this.length-1;e>=0;e--)c=(b*c+(0|this.words[e]))%a;return c},f.prototype.idivn=function(a){d(a<=67108863);for(var b=0,c=this.length-1;c>=0;c--){var e=(0|this.words[c])+67108864*b;this.words[c]=e/a|0,b=e%a}return this.strip()},f.prototype.divn=function(a){return this.clone().idivn(a)},f.prototype.egcd=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=new f(0),i=new f(1),j=0;b.isEven()&&c.isEven();)b.iushrn(1),c.iushrn(1),++j;for(var k=c.clone(),l=b.clone();!b.isZero();){for(var m=0,n=1;0===(b.words[0]&n)&&m<26;++m,n<<=1);if(m>0)for(b.iushrn(m);m-- >0;)(e.isOdd()||g.isOdd())&&(e.iadd(k),g.isub(l)),e.iushrn(1),g.iushrn(1);for(var o=0,p=1;0===(c.words[0]&p)&&o<26;++o,p<<=1);if(o>0)for(c.iushrn(o);o-- >0;)(h.isOdd()||i.isOdd())&&(h.iadd(k),i.isub(l)),h.iushrn(1),i.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(h),g.isub(i)):(c.isub(b),h.isub(e),i.isub(g))}return{a:h,b:i,gcd:c.iushln(j)}},f.prototype._invmp=function(a){d(0===a.negative),d(!a.isZero());var b=this,c=a.clone();b=0!==b.negative?b.umod(a):b.clone();for(var e=new f(1),g=new f(0),h=c.clone();b.cmpn(1)>0&&c.cmpn(1)>0;){for(var i=0,j=1;0===(b.words[0]&j)&&i<26;++i,j<<=1);if(i>0)for(b.iushrn(i);i-- >0;)e.isOdd()&&e.iadd(h),e.iushrn(1);for(var k=0,l=1;0===(c.words[0]&l)&&k<26;++k,l<<=1);if(k>0)for(c.iushrn(k);k-- >0;)g.isOdd()&&g.iadd(h),g.iushrn(1);b.cmp(c)>=0?(b.isub(c),e.isub(g)):(c.isub(b),g.isub(e))}var m;return m=0===b.cmpn(1)?e:g,m.cmpn(0)<0&&m.iadd(a),m},f.prototype.gcd=function(a){if(this.isZero())return a.abs();if(a.isZero())return this.abs();var b=this.clone(),c=a.clone();b.negative=0,c.negative=0;for(var d=0;b.isEven()&&c.isEven();d++)b.iushrn(1),c.iushrn(1);for(;;){for(;b.isEven();)b.iushrn(1);for(;c.isEven();)c.iushrn(1);var e=b.cmp(c);if(e<0){var f=b;b=c,c=f}else if(0===e||0===c.cmpn(1))break;b.isub(c)}return c.iushln(d)},f.prototype.invm=function(a){return this.egcd(a).a.umod(a)},f.prototype.isEven=function(){return 0===(1&this.words[0])},f.prototype.isOdd=function(){return 1===(1&this.words[0])},f.prototype.andln=function(a){return this.words[0]&a},f.prototype.bincn=function(a){d("number"==typeof a);var b=a%26,c=(a-b)/26,e=1<>>26,h&=67108863,this.words[g]=h}return 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0===this.cmp(a)},f.red=function(a){return new s(a)},f.prototype.toRed=function(a){return d(!this.red,"Already a number in reduction context"),d(0===this.negative,"red works only with positives"),a.convertTo(this)._forceRed(a)},f.prototype.fromRed=function(){return d(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},f.prototype._forceRed=function(a){return this.red=a,this},f.prototype.forceRed=function(a){return d(!this.red,"Already a number in reduction context"),this._forceRed(a)},f.prototype.redAdd=function(a){return d(this.red,"redAdd works only with red numbers"),this.red.add(this,a)},f.prototype.redIAdd=function(a){return d(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,a)},f.prototype.redSub=function(a){return d(this.red,"redSub works only with red numbers"),this.red.sub(this,a)},f.prototype.redISub=function(a){return d(this.red,"redISub works only with red 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B;if("k256"===a)B=new o;else if("p224"===a)B=new p;else if("p192"===a)B=new q;else{if("p25519"!==a)throw new Error("Unknown prime "+a);B=new r}return A[a]=B,B},s.prototype._verify1=function(a){d(0===a.negative,"red works only with positives"),d(a.red,"red works only with red numbers")},s.prototype._verify2=function(a,b){d(0===(a.negative|b.negative),"red works only with positives"),d(a.red&&a.red===b.red,"red works only with red numbers")},s.prototype.imod=function(a){return this.prime?this.prime.ireduce(a)._forceRed(this):a.umod(this.m)._forceRed(this)},s.prototype.neg=function(a){return a.isZero()?a.clone():this.m.sub(a)._forceRed(this)},s.prototype.add=function(a,b){this._verify2(a,b);var c=a.add(b);return c.cmp(this.m)>=0&&c.isub(this.m),c._forceRed(this)},s.prototype.iadd=function(a,b){this._verify2(a,b);var c=a.iadd(b);return c.cmp(this.m)>=0&&c.isub(this.m),c},s.prototype.sub=function(a,b){this._verify2(a,b);var c=a.sub(b);return c.cmpn(0)<0&&c.iadd(this.m),c._forceRed(this)},s.prototype.isub=function(a,b){this._verify2(a,b);var c=a.isub(b);return c.cmpn(0)<0&&c.iadd(this.m),c},s.prototype.shl=function(a,b){return this._verify1(a),this.imod(a.ushln(b))},s.prototype.imul=function(a,b){return this._verify2(a,b),this.imod(a.imul(b))},s.prototype.mul=function(a,b){return this._verify2(a,b),this.imod(a.mul(b))},s.prototype.isqr=function(a){return this.imul(a,a.clone())},s.prototype.sqr=function(a){return this.mul(a,a)},s.prototype.sqrt=function(a){if(a.isZero())return a.clone();var b=this.m.andln(3);if(d(b%2===1),3===b){var c=this.m.add(new f(1)).iushrn(2);return this.pow(a,c)}for(var e=this.m.subn(1),g=0;!e.isZero()&&0===e.andln(1);)g++,e.iushrn(1);d(!e.isZero());var h=new f(1).toRed(this),i=h.redNeg(),j=this.m.subn(1).iushrn(1),k=this.m.bitLength();for(k=new f(2*k*k).toRed(this);0!==this.pow(k,j).cmp(i);)k.redIAdd(i);for(var l=this.pow(k,e),m=this.pow(a,e.addn(1).iushrn(1)),n=this.pow(a,e),o=g;0!==n.cmp(h);){for(var p=n,q=0;0!==p.cmp(h);q++)p=p.redSqr();d(q=0;e--){for(var k=b.words[e],l=j-1;l>=0;l--){var m=k>>l&1;g!==d[0]&&(g=this.sqr(g)),0!==m||0!==h?(h<<=1,h|=m,i++,(i===c||0===e&&0===l)&&(g=this.mul(g,d[h]),i=0,h=0)):i=0}j=26}return g},s.prototype.convertTo=function(a){var b=a.umod(this.m);return b===a?b.clone():b},s.prototype.convertFrom=function(a){var b=a.clone();return b.red=null,b},f.mont=function(a){return new t(a)},e(t,s),t.prototype.convertTo=function(a){return this.imod(a.ushln(this.shift))},t.prototype.convertFrom=function(a){var b=this.imod(a.mul(this.rinv));return b.red=null,b},t.prototype.imul=function(a,b){if(a.isZero()||b.isZero())return a.words[0]=0,a.length=1,a;var c=a.imul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),f=e;return e.cmp(this.m)>=0?f=e.isub(this.m):e.cmpn(0)<0&&(f=e.iadd(this.m)),f._forceRed(this)},t.prototype.mul=function(a,b){if(a.isZero()||b.isZero())return new f(0)._forceRed(this);var c=a.mul(b),d=c.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=c.isub(d).iushrn(this.shift),g=e;return e.cmp(this.m)>=0?g=e.isub(this.m):e.cmpn(0)<0&&(g=e.iadd(this.m)),g._forceRed(this)},t.prototype.invm=function(a){var b=this.imod(a._invmp(this.m).mul(this.r2));return b._forceRed(this)}}("undefined"==typeof b||b,this)},{buffer:18}],17:[function(a,b,c){function d(a){this.rand=a}var e;if(b.exports=function(a){return e||(e=new d(null)),e.generate(a)},b.exports.Rand=d,d.prototype.generate=function(a){return this._rand(a)},d.prototype._rand=function(a){if(this.rand.getBytes)return this.rand.getBytes(a);for(var b=new Uint8Array(a),c=0;c=this._delta8){a=this.pending;var c=a.length%this._delta8;this.pending=a.slice(a.length-c,a.length),0===this.pending.length&&(this.pending=null),a=e.join32(a,0,a.length-c,this.endian);for(var d=0;d>>24&255,d[e++]=a>>>16&255,d[e++]=a>>>8&255,d[e++]=255&a}else for(d[e++]=255&a,d[e++]=a>>>8&255,d[e++]=a>>>16&255,d[e++]=a>>>24&255,d[e++]=0,d[e++]=0,d[e++]=0,d[e++]=0,f=8;fthis.blockSize&&(a=(new this.Hash).update(a).digest()),f(a.length<=this.blockSize);for(var b=a.length;b>>3}function k(a){return m(a,17)^m(a,19)^a>>>10}var l=a("../utils"),m=l.rotr32;c.ft_1=d,c.ch32=e,c.maj32=f,c.p32=g,c.s0_256=h,c.s1_256=i,c.g0_256=j,c.g1_256=k},{"../utils":30}],30:[function(a,b,c){"use strict";function d(a,b){return 55296===(64512&a.charCodeAt(b))&&(!(b<0||b+1>=a.length)&&56320===(64512&a.charCodeAt(b+1)))}function e(a,b){if(Array.isArray(a))return a.slice();if(!a)return[];var c=[];if("string"==typeof 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d(a);this.hash=a.hash,this.predResist=!!a.predResist,this.outLen=this.hash.outSize,this.minEntropy=a.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var b=f.toArray(a.entropy,a.entropyEnc||"hex"),c=f.toArray(a.nonce,a.nonceEnc||"hex"),e=f.toArray(a.pers,a.persEnc||"hex");g(b.length>=this.minEntropy/8,"Not enough entropy. 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\ No newline at end of file diff --git a/lib/elliptic/curve/base.js b/lib/elliptic/curve/base.js index 3af8239..83ffe9f 100644 --- a/lib/elliptic/curve/base.js +++ b/lib/elliptic/curve/base.js @@ -1,8 +1,7 @@ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var getNAF = utils.getNAF; var getJSF = utils.getJSF; var assert = utils.assert; @@ -29,6 +28,8 @@ function BaseCurve(type, conf) { this._wnafT3 = new Array(4); this._wnafT4 = new Array(4); + this._bitLength = this.n ? this.n.bitLength() : 0; + // Generalized Greg Maxwell's trick var adjustCount = this.n && this.p.div(this.n); if (!adjustCount || adjustCount.cmpn(100) > 0) { @@ -52,7 +53,7 @@ BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { assert(p.precomputed); var doubles = p._getDoubles(); - var naf = getNAF(k, 1); + var naf = getNAF(k, 1, this._bitLength); var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); I /= 3; @@ -89,7 +90,7 @@ BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { var wnd = nafPoints.points; // Get NAF form - var naf = getNAF(k, w); + var naf = getNAF(k, w, this._bitLength); // Add `this`*(N+1) for every w-NAF index var acc = this.jpoint(null, null, null); @@ -145,8 +146,8 @@ BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, var a = i - 1; var b = i; if (wndWidth[a] !== 1 || wndWidth[b] !== 1) { - naf[a] = getNAF(coeffs[a], wndWidth[a]); - naf[b] = getNAF(coeffs[b], wndWidth[b]); + naf[a] = getNAF(coeffs[a], wndWidth[a], this._bitLength); + naf[b] = getNAF(coeffs[b], wndWidth[b], this._bitLength); max = Math.max(naf[a].length, max); max = Math.max(naf[b].length, max); continue; diff --git a/lib/elliptic/curve/edwards.js b/lib/elliptic/curve/edwards.js index a8965ea..1c53fe9 100644 --- a/lib/elliptic/curve/edwards.js +++ b/lib/elliptic/curve/edwards.js @@ -1,12 +1,11 @@ 'use strict'; -var curve = require('../curve'); -var elliptic = require('../../elliptic'); +var utils = require('../utils'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function EdwardsCurve(conf) { // NOTE: Important as we are creating point in Base.call() diff --git a/lib/elliptic/curve/mont.js b/lib/elliptic/curve/mont.js index 0ddea33..4b9f80f 100644 --- a/lib/elliptic/curve/mont.js +++ b/lib/elliptic/curve/mont.js @@ -1,12 +1,10 @@ 'use strict'; -var curve = require('../curve'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); function MontCurve(conf) { Base.call(this, 'mont', conf); diff --git a/lib/elliptic/curve/short.js b/lib/elliptic/curve/short.js index 5a0e860..b263ecf 100644 --- a/lib/elliptic/curve/short.js +++ b/lib/elliptic/curve/short.js @@ -1,12 +1,11 @@ 'use strict'; -var curve = require('../curve'); -var elliptic = require('../../elliptic'); +var utils = require('../utils'); var BN = require('bn.js'); var inherits = require('inherits'); -var Base = curve.base; +var Base = require('./base'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function ShortCurve(conf) { Base.call(this, 'short', conf); @@ -422,8 +421,9 @@ Point.prototype.getY = function getY() { Point.prototype.mul = function mul(k) { k = new BN(k, 16); - - if (this._hasDoubles(k)) + if (this.isInfinity()) + return this; + else if (this._hasDoubles(k)) return this.curve._fixedNafMul(this, k); else if (this.curve.endo) return this.curve._endoWnafMulAdd([ this ], [ k ]); diff --git a/lib/elliptic/curves.js b/lib/elliptic/curves.js index 0614c00..63d8655 100644 --- a/lib/elliptic/curves.js +++ b/lib/elliptic/curves.js @@ -3,17 +3,18 @@ var curves = exports; var hash = require('hash.js'); -var elliptic = require('../elliptic'); +var curve = require('./curve'); +var utils = require('./utils'); -var assert = elliptic.utils.assert; +var assert = utils.assert; function PresetCurve(options) { if (options.type === 'short') - this.curve = new elliptic.curve.short(options); + this.curve = new curve.short(options); else if (options.type === 'edwards') - this.curve = new elliptic.curve.edwards(options); + this.curve = new curve.edwards(options); else - this.curve = new elliptic.curve.mont(options); + this.curve = new curve.mont(options); this.g = this.curve.g; this.n = this.curve.n; this.hash = options.hash; diff --git a/lib/elliptic/ec/index.js b/lib/elliptic/ec/index.js index 012fa77..0f1d8ce 100644 --- a/lib/elliptic/ec/index.js +++ b/lib/elliptic/ec/index.js @@ -2,8 +2,9 @@ var BN = require('bn.js'); var HmacDRBG = require('hmac-drbg'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); +var curves = require('../curves'); +var rand = require('brorand'); var assert = utils.assert; var KeyPair = require('./key'); @@ -15,13 +16,13 @@ function EC(options) { // Shortcut `elliptic.ec(curve-name)` if (typeof options === 'string') { - assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options); + assert(curves.hasOwnProperty(options), 'Unknown curve ' + options); - options = elliptic.curves[options]; + options = curves[options]; } // Shortcut for `elliptic.ec(elliptic.curves.curveName)` - if (options instanceof elliptic.curves.PresetCurve) + if (options instanceof curves.PresetCurve) options = { curve: options }; this.curve = options.curve.curve; @@ -59,7 +60,7 @@ EC.prototype.genKeyPair = function genKeyPair(options) { hash: this.hash, pers: options.pers, persEnc: options.persEnc || 'utf8', - entropy: options.entropy || elliptic.rand(this.hash.hmacStrength), + entropy: options.entropy || rand(this.hash.hmacStrength), entropyEnc: options.entropy && options.entropyEnc || 'utf8', nonce: this.n.toArray() }); diff --git a/lib/elliptic/ec/key.js b/lib/elliptic/ec/key.js index e0f4483..4a56d69 100644 --- a/lib/elliptic/ec/key.js +++ b/lib/elliptic/ec/key.js @@ -1,8 +1,7 @@ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; function KeyPair(ec, options) { diff --git a/lib/elliptic/ec/signature.js b/lib/elliptic/ec/signature.js index 165b179..539df6a 100644 --- a/lib/elliptic/ec/signature.js +++ b/lib/elliptic/ec/signature.js @@ -2,8 +2,7 @@ var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; function Signature(options, enc) { @@ -33,11 +32,24 @@ function getLength(buf, p) { return initial; } var octetLen = initial & 0xf; + + // Indefinite length or overflow + if (octetLen === 0 || octetLen > 4) { + return false; + } + var val = 0; for (var i = 0, off = p.place; i < octetLen; i++, off++) { val <<= 8; val |= buf[off]; + val >>>= 0; } + + // Leading zeroes + if (val <= 0x7f) { + return false; + } + p.place = off; return val; } @@ -61,6 +73,9 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var len = getLength(data, p); + if (len === false) { + return false; + } if ((len + p.place) !== data.length) { return false; } @@ -68,21 +83,37 @@ Signature.prototype._importDER = function _importDER(data, enc) { return false; } var rlen = getLength(data, p); + if (rlen === false) { + return false; + } var r = data.slice(p.place, rlen + p.place); p.place += rlen; if (data[p.place++] !== 0x02) { return false; } var slen = getLength(data, p); + if (slen === false) { + return false; + } if (data.length !== slen + p.place) { return false; } var s = data.slice(p.place, slen + p.place); - if (r[0] === 0 && (r[1] & 0x80)) { - r = r.slice(1); + if (r[0] === 0) { + if (r[1] & 0x80) { + r = r.slice(1); + } else { + // Leading zeroes + return false; + } } - if (s[0] === 0 && (s[1] & 0x80)) { - s = s.slice(1); + if (s[0] === 0) { + if (s[1] & 0x80) { + s = s.slice(1); + } else { + // Leading zeroes + return false; + } } this.r = new BN(r); diff --git a/lib/elliptic/eddsa/index.js b/lib/elliptic/eddsa/index.js index b218a16..f82fa35 100644 --- a/lib/elliptic/eddsa/index.js +++ b/lib/elliptic/eddsa/index.js @@ -1,8 +1,8 @@ 'use strict'; var hash = require('hash.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var curves = require('../curves'); +var utils = require('../utils'); var assert = utils.assert; var parseBytes = utils.parseBytes; var KeyPair = require('./key'); @@ -14,7 +14,7 @@ function EDDSA(curve) { if (!(this instanceof EDDSA)) return new EDDSA(curve); - var curve = elliptic.curves[curve].curve; + var curve = curves[curve].curve; this.curve = curve; this.g = curve.g; this.g.precompute(curve.n.bitLength() + 1); diff --git a/lib/elliptic/eddsa/key.js b/lib/elliptic/eddsa/key.js index 5d5e142..a00028f 100644 --- a/lib/elliptic/eddsa/key.js +++ b/lib/elliptic/eddsa/key.js @@ -1,7 +1,6 @@ 'use strict'; -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; var parseBytes = utils.parseBytes; var cachedProperty = utils.cachedProperty; diff --git a/lib/elliptic/eddsa/signature.js b/lib/elliptic/eddsa/signature.js index e944e81..17b96d7 100644 --- a/lib/elliptic/eddsa/signature.js +++ b/lib/elliptic/eddsa/signature.js @@ -1,8 +1,7 @@ 'use strict'; var BN = require('bn.js'); -var elliptic = require('../../elliptic'); -var utils = elliptic.utils; +var utils = require('../utils'); var assert = utils.assert; var cachedProperty = utils.cachedProperty; var parseBytes = utils.parseBytes; diff --git a/lib/elliptic/utils.js b/lib/elliptic/utils.js index 9827381..f6d5616 100644 --- a/lib/elliptic/utils.js +++ b/lib/elliptic/utils.js @@ -12,14 +12,17 @@ utils.toHex = minUtils.toHex; utils.encode = minUtils.encode; // Represent num in a w-NAF form -function getNAF(num, w) { - var naf = []; +function getNAF(num, w, bits) { + var naf = new Array(Math.max(num.bitLength(), bits) + 1); + naf.fill(0); + var ws = 1 << (w + 1); var k = num.clone(); - while (k.cmpn(1) >= 0) { + + for (var i = 0; i < naf.length; i++) { var z; + var mod = k.andln(ws - 1); if (k.isOdd()) { - var mod = k.andln(ws - 1); if (mod > (ws >> 1) - 1) z = (ws >> 1) - mod; else @@ -28,13 +31,9 @@ function getNAF(num, w) { } else { z = 0; } - naf.push(z); - // Optimization, shift by word if possible - var shift = (k.cmpn(0) !== 0 && k.andln(ws - 1) === 0) ? (w + 1) : 1; - for (var i = 1; i < shift; i++) - naf.push(0); - k.iushrn(shift); + naf[i] = z; + k.iushrn(1); } return naf; diff --git a/package-lock.json b/package-lock.json new file mode 100644 index 0000000..57cab84 --- /dev/null +++ b/package-lock.json @@ -0,0 +1,7138 @@ +{ + "name": "elliptic", + "version": "6.5.3", + "lockfileVersion": 1, + "requires": true, + "dependencies": { + "JSONStream": { + "version": "1.3.5", + "resolved": "https://registry.npmjs.org/JSONStream/-/JSONStream-1.3.5.tgz", + "integrity": "sha512-E+iruNOY8VV9s4JEbe1aNEm6MiszPRr/UfcHMz0TQh1BXSxHK+ASV1R6W4HpjBhSeS+54PIsAMCBmwD06LLsqQ==", + "dev": true, + "requires": { + "jsonparse": "^1.2.0", + "through": ">=2.2.7 <3" + } + }, + "JSV": { + "version": "4.0.2", + "resolved": "https://registry.npmjs.org/JSV/-/JSV-4.0.2.tgz", + "integrity": "sha1-0Hf2glVx+CEy+d/67Vh7QCn+/1c=", + "dev": true + }, + "abbrev": { + "version": "1.1.1", + "resolved": "https://registry.npmjs.org/abbrev/-/abbrev-1.1.1.tgz", + "integrity": 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"grunt-contrib-copy": "^1.0.0", "grunt-contrib-uglify": "^1.0.1", "grunt-mocha-istanbul": "^3.0.1", - "grunt-saucelabs": "^8.6.2", + "grunt-saucelabs": "^9.0.1", "istanbul": "^0.4.2", - "jscs": "^2.9.0", - "jshint": "^2.6.0", - "mocha": "^2.1.0" + "jscs": "^3.0.7", + "jshint": "^2.10.3", + "mocha": "^6.2.2" }, "dependencies": { "bn.js": "^4.4.0", diff --git a/test/curve-test.js b/test/curve-test.js index 2c6167d..fcfa84e 100644 --- a/test/curve-test.js +++ b/test/curve-test.js @@ -253,6 +253,13 @@ describe('Curve', function() { var neg2 = neg.neg(true); assert(p.eq(neg2)); }); + + it('should correctly handle scalar multiplication of zero', function() { + var curve = elliptic.curves.secp256k1.curve; + var p1 = curve.g.mul('0'); + var p2 = p1.mul('2'); + assert(p1.eq(p2)); + }); }); describe('Point codec', function () {