From 488307d73b9ca78198da69b01c7f41d194281931 Mon Sep 17 00:00:00 2001 From: neeboo Date: Tue, 9 Apr 2019 18:25:53 +0800 Subject: [PATCH] remove includes folder --- .gitignore | 1 + includes/elliptic/elliptic.js | 9091 --------------------------------- 2 files changed, 1 insertion(+), 9091 deletions(-) delete mode 100644 includes/elliptic/elliptic.js diff --git a/.gitignore b/.gitignore index 8792de2..39547b2 100644 --- a/.gitignore +++ b/.gitignore @@ -3,6 +3,7 @@ .DS_Store *.lock .vscode/ +includes/ # package.json package-lock.json diff --git a/includes/elliptic/elliptic.js b/includes/elliptic/elliptic.js deleted file mode 100644 index 3162961..0000000 --- a/includes/elliptic/elliptic.js +++ /dev/null @@ -1,9091 +0,0 @@ -module.exports = -/******/ (function(modules) { // webpackBootstrap -/******/ // The module cache -/******/ var installedModules = {}; -/******/ -/******/ // The require function -/******/ function __webpack_require__(moduleId) { -/******/ -/******/ // Check if module is in cache -/******/ if(installedModules[moduleId]) { -/******/ return installedModules[moduleId].exports; 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-/******/ }) -/************************************************************************/ -/******/ ([ -/* 0 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var elliptic = exports; - -elliptic.version = __webpack_require__(12).version; -elliptic.utils = __webpack_require__(13); -elliptic.rand = __webpack_require__(16); -elliptic.curve = __webpack_require__(5); -elliptic.curves = __webpack_require__(22); - -// Protocols -elliptic.ec = __webpack_require__(30); -elliptic.eddsa = __webpack_require__(34); - - -/***/ }), -/* 1 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var assert = __webpack_require__(3); -var inherits = __webpack_require__(6); - -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(); - if (!msg) - return []; - 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); - 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 (i = 0; i < msg.length; i += 2) - res.push(parseInt(msg[i] + msg[i + 1], 16)); - } - } else { - for (i = 0; i < msg.length; i++) - res[i] = msg[i] | 0; - } - return res; -} -exports.toArray = toArray; - -function toHex(msg) { - var res = ''; - for (var i = 0; i < msg.length; i++) - res += zero2(msg[i].toString(16)); - return res; -} -exports.toHex = toHex; - -function htonl(w) { - var res = (w >>> 24) | - ((w >>> 8) & 0xff00) | - ((w << 8) & 0xff0000) | - ((w & 0xff) << 24); - return res >>> 0; -} -exports.htonl = htonl; - -function toHex32(msg, endian) { - var res = ''; - for (var i = 0; i < msg.length; i++) { - var w = msg[i]; - if (endian === 'little') - w = htonl(w); - res += zero8(w.toString(16)); - } - return res; -} -exports.toHex32 = toHex32; - -function zero2(word) { - if (word.length === 1) - return '0' + word; - else - return word; -} -exports.zero2 = zero2; - -function zero8(word) { - if (word.length === 7) - return '0' + word; - else if (word.length === 6) - return '00' + word; - else if (word.length === 5) - return '000' + word; - else if (word.length === 4) - return '0000' + word; - else if (word.length === 3) - return '00000' + word; - else if (word.length === 2) - return '000000' + word; - else if (word.length === 1) - return '0000000' + word; - else - return word; -} -exports.zero8 = zero8; - -function join32(msg, start, end, endian) { - var len = end - start; - assert(len % 4 === 0); - var res = new Array(len / 4); - for (var i = 0, k = start; i < res.length; i++, k += 4) { - var w; - if (endian === 'big') - w = (msg[k] << 24) | (msg[k + 1] << 16) | (msg[k + 2] << 8) | msg[k + 3]; - else - w = (msg[k + 3] << 24) | (msg[k + 2] << 16) | (msg[k + 1] << 8) | msg[k]; - res[i] = w >>> 0; - } - return res; -} -exports.join32 = join32; - -function split32(msg, endian) { - var res = new Array(msg.length * 4); - for (var i = 0, k = 0; i < msg.length; i++, k += 4) { - var m = msg[i]; - if (endian === 'big') { - res[k] = m >>> 24; - res[k + 1] = (m >>> 16) & 0xff; - res[k + 2] = (m >>> 8) & 0xff; - res[k + 3] = m & 0xff; - } else { - res[k + 3] = m >>> 24; - res[k + 2] = (m >>> 16) & 0xff; - res[k + 1] = (m >>> 8) & 0xff; - res[k] = m & 0xff; - } - } - return res; -} -exports.split32 = split32; - -function rotr32(w, b) { - return (w >>> b) | (w << (32 - b)); -} -exports.rotr32 = rotr32; - -function rotl32(w, b) { - return (w << b) | (w >>> (32 - b)); -} -exports.rotl32 = rotl32; - -function sum32(a, b) { - return (a + b) >>> 0; -} -exports.sum32 = sum32; - -function sum32_3(a, b, c) { - return (a + b + c) >>> 0; -} -exports.sum32_3 = sum32_3; - -function sum32_4(a, b, c, d) { - return (a + b + c + d) >>> 0; -} -exports.sum32_4 = sum32_4; - -function sum32_5(a, b, c, d, e) { - return (a + b + c + d + e) >>> 0; -} -exports.sum32_5 = sum32_5; - -function sum64(buf, pos, ah, al) { - var bh = buf[pos]; - var bl = buf[pos + 1]; - - var lo = (al + bl) >>> 0; - var hi = (lo < al ? 1 : 0) + ah + bh; - buf[pos] = hi >>> 0; - buf[pos + 1] = lo; -} -exports.sum64 = sum64; - -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) { - var carry = 0; - var lo = al; - lo = (lo + bl) >>> 0; - carry += lo < al ? 1 : 0; - lo = (lo + cl) >>> 0; - carry += lo < cl ? 1 : 0; - lo = (lo + dl) >>> 0; - carry += lo < dl ? 1 : 0; - - 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) { - var carry = 0; - var lo = al; - lo = (lo + bl) >>> 0; - carry += lo < al ? 1 : 0; - lo = (lo + cl) >>> 0; - carry += lo < cl ? 1 : 0; - lo = (lo + dl) >>> 0; - carry += lo < dl ? 1 : 0; - lo = (lo + el) >>> 0; - carry += lo < el ? 1 : 0; - - 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; - - -/***/ }), -/* 2 */ -/***/ (function(module, exports, __webpack_require__) { - -/* WEBPACK VAR INJECTION */(function(module) {(function (module, exports) { - 'use strict'; - - // Utils - function assert (val, msg) { - if (!val) throw new Error(msg || 'Assertion failed'); - } - - // Could use `inherits` module, but don't want to move from single file - // architecture yet. - function inherits (ctor, superCtor) { - ctor.super_ = superCtor; - var TempCtor = function () {}; - TempCtor.prototype = superCtor.prototype; - ctor.prototype = new TempCtor(); - ctor.prototype.constructor = ctor; - } - - // BN - - function BN (number, base, endian) { - if (BN.isBN(number)) { - return number; - } - - this.negative = 0; - this.words = null; - this.length = 0; - - // Reduction context - this.red = null; - - if (number !== null) { - if (base === 'le' || base === 'be') { - endian = base; - base = 10; - } - - this._init(number || 0, base || 10, endian || 'be'); - } - } - if (typeof module === 'object') { - module.exports = BN; - } else { - exports.BN = BN; - } - - BN.BN = BN; - BN.wordSize = 26; - - var Buffer; - try { - Buffer = __webpack_require__(15).Buffer; - } catch (e) { - } - - BN.isBN = function isBN (num) { - if (num instanceof BN) { - return true; - } - - return num !== null && typeof num === 'object' && - num.constructor.wordSize === BN.wordSize && Array.isArray(num.words); - }; - - BN.max = function max (left, right) { - if (left.cmp(right) > 0) return left; - return right; - }; - - BN.min = function min (left, right) { - if (left.cmp(right) < 0) return left; - return right; - }; - - BN.prototype._init = function init (number, base, endian) { - if (typeof number === 'number') { - return this._initNumber(number, base, endian); - } - - if (typeof number === 'object') { - return this._initArray(number, base, endian); - } - - if (base === 'hex') { - base = 16; - } - assert(base === (base | 0) && base >= 2 && base <= 36); - - number = number.toString().replace(/\s+/g, ''); - var start = 0; - if (number[0] === '-') { - start++; - } - - if (base === 16) { - this._parseHex(number, start); - } else { - this._parseBase(number, base, start); - } - - if (number[0] === '-') { - this.negative = 1; - } - - this.strip(); - - if (endian !== 'le') return; - - this._initArray(this.toArray(), base, endian); - }; - - BN.prototype._initNumber = function _initNumber (number, base, endian) { - if (number < 0) { - this.negative = 1; - number = -number; - } - if (number < 0x4000000) { - this.words = [ number & 0x3ffffff ]; - this.length = 1; - } else if (number < 0x10000000000000) { - this.words = [ - number & 0x3ffffff, - (number / 0x4000000) & 0x3ffffff - ]; - this.length = 2; - } else { - assert(number < 0x20000000000000); // 2 ^ 53 (unsafe) - this.words = [ - number & 0x3ffffff, - (number / 0x4000000) & 0x3ffffff, - 1 - ]; - this.length = 3; - } - - if (endian !== 'le') return; - - // Reverse the bytes - this._initArray(this.toArray(), base, endian); - }; - - BN.prototype._initArray = function _initArray (number, base, endian) { - // Perhaps a Uint8Array - assert(typeof number.length === 'number'); - if (number.length <= 0) { - this.words = [ 0 ]; - this.length = 1; - return this; - } - - this.length = Math.ceil(number.length / 3); - this.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - this.words[i] = 0; - } - - var j, w; - var off = 0; - if (endian === 'be') { - for (i = number.length - 1, j = 0; i >= 0; i -= 3) { - w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16); - this.words[j] |= (w << off) & 0x3ffffff; - this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; - off += 24; - if (off >= 26) { - off -= 26; - j++; - } - } - } else if (endian === 'le') { - for (i = 0, j = 0; i < number.length; i += 3) { - w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16); - this.words[j] |= (w << off) & 0x3ffffff; - this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff; - off += 24; - if (off >= 26) { - off -= 26; - j++; - } - } - } - return this.strip(); - }; - - function parseHex (str, start, end) { - var r = 0; - var len = Math.min(str.length, end); - for (var i = start; i < len; i++) { - var c = str.charCodeAt(i) - 48; - - r <<= 4; - - // 'a' - 'f' - if (c >= 49 && c <= 54) { - r |= c - 49 + 0xa; - - // 'A' - 'F' - } else if (c >= 17 && c <= 22) { - r |= c - 17 + 0xa; - - // '0' - '9' - } else { - r |= c & 0xf; - } - } - return r; - } - - BN.prototype._parseHex = function _parseHex (number, start) { - // Create possibly bigger array to ensure that it fits the number - this.length = Math.ceil((number.length - start) / 6); - this.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - this.words[i] = 0; - } - - var j, w; - // Scan 24-bit chunks and add them to the number - var off = 0; - for (i = number.length - 6, j = 0; i >= start; i -= 6) { - w = parseHex(number, i, i + 6); - this.words[j] |= (w << off) & 0x3ffffff; - // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb - this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; - off += 24; - if (off >= 26) { - off -= 26; - j++; - } - } - if (i + 6 !== start) { - w = parseHex(number, start, i + 6); - this.words[j] |= (w << off) & 0x3ffffff; - this.words[j + 1] |= w >>> (26 - off) & 0x3fffff; - } - this.strip(); - }; - - function parseBase (str, start, end, mul) { - var r = 0; - var len = Math.min(str.length, end); - for (var i = start; i < len; i++) { - var c = str.charCodeAt(i) - 48; - - r *= mul; - - // 'a' - if (c >= 49) { - r += c - 49 + 0xa; - - // 'A' - } else if (c >= 17) { - r += c - 17 + 0xa; - - // '0' - '9' - } else { - r += c; - } - } - return r; - } - - BN.prototype._parseBase = function _parseBase (number, base, start) { - // Initialize as zero - this.words = [ 0 ]; - this.length = 1; - - // Find length of limb in base - for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) { - limbLen++; - } - limbLen--; - limbPow = (limbPow / base) | 0; - - var total = number.length - start; - var mod = total % limbLen; - var end = Math.min(total, total - mod) + start; - - var word = 0; - for (var i = start; i < end; i += limbLen) { - word = parseBase(number, i, i + limbLen, base); - - this.imuln(limbPow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } - - if (mod !== 0) { - var pow = 1; - word = parseBase(number, i, number.length, base); - - for (i = 0; i < mod; i++) { - pow *= base; - } - - this.imuln(pow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } - }; - - BN.prototype.copy = function copy (dest) { - dest.words = new Array(this.length); - for (var i = 0; i < this.length; i++) { - dest.words[i] = this.words[i]; - } - dest.length = this.length; - dest.negative = this.negative; - dest.red = this.red; - }; - - BN.prototype.clone = function clone () { - var r = new BN(null); - this.copy(r); - return r; - }; - - BN.prototype._expand = function _expand (size) { - while (this.length < size) { - this.words[this.length++] = 0; - } - return this; - }; - - // Remove leading `0` from `this` - BN.prototype.strip = function strip () { - while (this.length > 1 && this.words[this.length - 1] === 0) { - this.length--; - } - return this._normSign(); - }; - - BN.prototype._normSign = function _normSign () { - // -0 = 0 - if (this.length === 1 && this.words[0] === 0) { - this.negative = 0; - } - return this; - }; - - BN.prototype.inspect = function inspect () { - return (this.red ? ''; - }; - - /* - - var zeros = []; - var groupSizes = []; - var groupBases = []; - - var s = ''; - var i = -1; - while (++i < BN.wordSize) { - zeros[i] = s; - s += '0'; - } - groupSizes[0] = 0; - groupSizes[1] = 0; - groupBases[0] = 0; - groupBases[1] = 0; - var base = 2 - 1; - while (++base < 36 + 1) { - var groupSize = 0; - var groupBase = 1; - while (groupBase < (1 << BN.wordSize) / base) { - groupBase *= base; - groupSize += 1; - } - groupSizes[base] = groupSize; - groupBases[base] = groupBase; - } - - */ - - var zeros = [ - '', - '0', - '00', - '000', - '0000', - '00000', - '000000', - '0000000', - '00000000', - '000000000', - '0000000000', - '00000000000', - '000000000000', - '0000000000000', - '00000000000000', - '000000000000000', - '0000000000000000', - '00000000000000000', - '000000000000000000', - '0000000000000000000', - '00000000000000000000', - '000000000000000000000', - '0000000000000000000000', - '00000000000000000000000', - '000000000000000000000000', - '0000000000000000000000000' - ]; - - var groupSizes = [ - 0, 0, - 25, 16, 12, 11, 10, 9, 8, - 8, 7, 7, 7, 7, 6, 6, - 6, 6, 6, 6, 6, 5, 5, - 5, 5, 5, 5, 5, 5, 5, - 5, 5, 5, 5, 5, 5, 5 - ]; - - var groupBases = [ - 0, 0, - 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216, - 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625, - 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632, - 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149, - 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176 - ]; - - BN.prototype.toString = function toString (base, padding) { - base = base || 10; - padding = padding | 0 || 1; - - var out; - if (base === 16 || base === 'hex') { - out = ''; - var off = 0; - var carry = 0; - for (var i = 0; i < this.length; i++) { - var w = this.words[i]; - var word = (((w << off) | carry) & 0xffffff).toString(16); - carry = (w >>> (24 - off)) & 0xffffff; - if (carry !== 0 || i !== this.length - 1) { - out = zeros[6 - word.length] + word + out; - } else { - out = word + out; - } - off += 2; - if (off >= 26) { - off -= 26; - i--; - } - } - if (carry !== 0) { - out = carry.toString(16) + out; - } - while (out.length % padding !== 0) { - out = '0' + out; - } - if (this.negative !== 0) { - out = '-' + out; - } - return out; - } - - if (base === (base | 0) && base >= 2 && base <= 36) { - // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base)); - var groupSize = groupSizes[base]; - // var groupBase = Math.pow(base, groupSize); - var groupBase = groupBases[base]; - out = ''; - var c = this.clone(); - c.negative = 0; - while (!c.isZero()) { - var r = c.modn(groupBase).toString(base); - c = c.idivn(groupBase); - - if (!c.isZero()) { - out = zeros[groupSize - r.length] + r + out; - } else { - out = r + out; - } - } - if (this.isZero()) { - out = '0' + out; - } - while (out.length % padding !== 0) { - out = '0' + out; - } - if (this.negative !== 0) { - out = '-' + out; - } - return out; - } - - assert(false, 'Base should be between 2 and 36'); - }; - - BN.prototype.toNumber = function toNumber () { - var ret = this.words[0]; - if (this.length === 2) { - ret += this.words[1] * 0x4000000; - } else if (this.length === 3 && this.words[2] === 0x01) { - // NOTE: at this stage it is known that the top bit is set - ret += 0x10000000000000 + (this.words[1] * 0x4000000); - } else if (this.length > 2) { - assert(false, 'Number can only safely store up to 53 bits'); - } - return (this.negative !== 0) ? -ret : ret; - }; - - BN.prototype.toJSON = function toJSON () { - return this.toString(16); - }; - - BN.prototype.toBuffer = function toBuffer (endian, length) { - assert(typeof Buffer !== 'undefined'); - return this.toArrayLike(Buffer, endian, length); - }; - - BN.prototype.toArray = function toArray (endian, length) { - return this.toArrayLike(Array, endian, length); - }; - - BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) { - var byteLength = this.byteLength(); - var reqLength = length || Math.max(1, byteLength); - assert(byteLength <= reqLength, 'byte array longer than desired length'); - assert(reqLength > 0, 'Requested array length <= 0'); - - this.strip(); - var littleEndian = endian === 'le'; - var res = new ArrayType(reqLength); - - var b, i; - var q = this.clone(); - if (!littleEndian) { - // Assume big-endian - for (i = 0; i < reqLength - byteLength; i++) { - res[i] = 0; - } - - for (i = 0; !q.isZero(); i++) { - b = q.andln(0xff); - q.iushrn(8); - - res[reqLength - i - 1] = b; - } - } else { - for (i = 0; !q.isZero(); i++) { - b = q.andln(0xff); - q.iushrn(8); - - res[i] = b; - } - - for (; i < reqLength; i++) { - res[i] = 0; - } - } - - return res; - }; - - if (Math.clz32) { - BN.prototype._countBits = function _countBits (w) { - return 32 - Math.clz32(w); - }; - } else { - BN.prototype._countBits = function _countBits (w) { - var t = w; - var r = 0; - if (t >= 0x1000) { - r += 13; - t >>>= 13; - } - if (t >= 0x40) { - r += 7; - t >>>= 7; - } - if (t >= 0x8) { - r += 4; - t >>>= 4; - } - if (t >= 0x02) { - r += 2; - t >>>= 2; - } - return r + t; - }; - } - - BN.prototype._zeroBits = function _zeroBits (w) { - // Short-cut - if (w === 0) return 26; - - var t = w; - var r = 0; - if ((t & 0x1fff) === 0) { - r += 13; - t >>>= 13; - } - if ((t & 0x7f) === 0) { - r += 7; - t >>>= 7; - } - if ((t & 0xf) === 0) { - r += 4; - t >>>= 4; - } - if ((t & 0x3) === 0) { - r += 2; - t >>>= 2; - } - if ((t & 0x1) === 0) { - r++; - } - return r; - }; - - // Return number of used bits in a BN - BN.prototype.bitLength = function bitLength () { - var w = this.words[this.length - 1]; - var hi = this._countBits(w); - return (this.length - 1) * 26 + hi; - }; - - function toBitArray (num) { - var w = new Array(num.bitLength()); - - for (var bit = 0; bit < w.length; bit++) { - var off = (bit / 26) | 0; - var wbit = bit % 26; - - w[bit] = (num.words[off] & (1 << wbit)) >>> wbit; - } - - return w; - } - - // Number of trailing zero bits - BN.prototype.zeroBits = function zeroBits () { - if (this.isZero()) return 0; - - var r = 0; - for (var i = 0; i < this.length; i++) { - var b = this._zeroBits(this.words[i]); - r += b; - if (b !== 26) break; - } - return r; - }; - - BN.prototype.byteLength = function byteLength () { - return Math.ceil(this.bitLength() / 8); - }; - - BN.prototype.toTwos = function toTwos (width) { - if (this.negative !== 0) { - return this.abs().inotn(width).iaddn(1); - } - return this.clone(); - }; - - BN.prototype.fromTwos = function fromTwos (width) { - if (this.testn(width - 1)) { - return this.notn(width).iaddn(1).ineg(); - } - return this.clone(); - }; - - BN.prototype.isNeg = function isNeg () { - return this.negative !== 0; - }; - - // Return negative clone of `this` - BN.prototype.neg = function neg () { - return this.clone().ineg(); - }; - - BN.prototype.ineg = function ineg () { - if (!this.isZero()) { - this.negative ^= 1; - } - - return this; - }; - - // Or `num` with `this` in-place - BN.prototype.iuor = function iuor (num) { - while (this.length < num.length) { - this.words[this.length++] = 0; - } - - for (var i = 0; i < num.length; i++) { - this.words[i] = this.words[i] | num.words[i]; - } - - return this.strip(); - }; - - BN.prototype.ior = function ior (num) { - assert((this.negative | num.negative) === 0); - return this.iuor(num); - }; - - // Or `num` with `this` - BN.prototype.or = function or (num) { - if (this.length > num.length) return this.clone().ior(num); - return num.clone().ior(this); - }; - - BN.prototype.uor = function uor (num) { - if (this.length > num.length) return this.clone().iuor(num); - return num.clone().iuor(this); - }; - - // And `num` with `this` in-place - BN.prototype.iuand = function iuand (num) { - // b = min-length(num, this) - var b; - if (this.length > num.length) { - b = num; - } else { - b = this; - } - - for (var i = 0; i < b.length; i++) { - this.words[i] = this.words[i] & num.words[i]; - } - - this.length = b.length; - - return this.strip(); - }; - - BN.prototype.iand = function iand (num) { - assert((this.negative | num.negative) === 0); - return this.iuand(num); - }; - - // And `num` with `this` - BN.prototype.and = function and (num) { - if (this.length > num.length) return this.clone().iand(num); - return num.clone().iand(this); - }; - - BN.prototype.uand = function uand (num) { - if (this.length > num.length) return this.clone().iuand(num); - return num.clone().iuand(this); - }; - - // Xor `num` with `this` in-place - BN.prototype.iuxor = function iuxor (num) { - // a.length > b.length - var a; - var b; - if (this.length > num.length) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - for (var i = 0; i < b.length; i++) { - this.words[i] = a.words[i] ^ b.words[i]; - } - - if (this !== a) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - this.length = a.length; - - return this.strip(); - }; - - BN.prototype.ixor = function ixor (num) { - assert((this.negative | num.negative) === 0); - return this.iuxor(num); - }; - - // Xor `num` with `this` - BN.prototype.xor = function xor (num) { - if (this.length > num.length) return this.clone().ixor(num); - return num.clone().ixor(this); - }; - - BN.prototype.uxor = function uxor (num) { - if (this.length > num.length) return this.clone().iuxor(num); - return num.clone().iuxor(this); - }; - - // Not ``this`` with ``width`` bitwidth - BN.prototype.inotn = function inotn (width) { - assert(typeof width === 'number' && width >= 0); - - var bytesNeeded = Math.ceil(width / 26) | 0; - var bitsLeft = width % 26; - - // Extend the buffer with leading zeroes - this._expand(bytesNeeded); - - if (bitsLeft > 0) { - bytesNeeded--; - } - - // Handle complete words - for (var i = 0; i < bytesNeeded; i++) { - this.words[i] = ~this.words[i] & 0x3ffffff; - } - - // Handle the residue - if (bitsLeft > 0) { - this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); - } - - // And remove leading zeroes - return this.strip(); - }; - - BN.prototype.notn = function notn (width) { - return this.clone().inotn(width); - }; - - // Set `bit` of `this` - BN.prototype.setn = function setn (bit, val) { - assert(typeof bit === 'number' && bit >= 0); - - var off = (bit / 26) | 0; - var wbit = bit % 26; - - this._expand(off + 1); - - if (val) { - this.words[off] = this.words[off] | (1 << wbit); - } else { - this.words[off] = this.words[off] & ~(1 << wbit); - } - - return this.strip(); - }; - - // Add `num` to `this` in-place - BN.prototype.iadd = function iadd (num) { - var r; - - // negative + positive - if (this.negative !== 0 && num.negative === 0) { - this.negative = 0; - r = this.isub(num); - this.negative ^= 1; - return this._normSign(); - - // positive + negative - } else if (this.negative === 0 && num.negative !== 0) { - num.negative = 0; - r = this.isub(num); - num.negative = 1; - return r._normSign(); - } - - // a.length > b.length - var a, b; - if (this.length > num.length) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - var carry = 0; - for (var i = 0; i < b.length; i++) { - r = (a.words[i] | 0) + (b.words[i] | 0) + carry; - this.words[i] = r & 0x3ffffff; - carry = r >>> 26; - } - for (; carry !== 0 && i < a.length; i++) { - r = (a.words[i] | 0) + carry; - this.words[i] = r & 0x3ffffff; - carry = r >>> 26; - } - - this.length = a.length; - if (carry !== 0) { - this.words[this.length] = carry; - this.length++; - // Copy the rest of the words - } else if (a !== this) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - return this; - }; - - // Add `num` to `this` - BN.prototype.add = function add (num) { - var res; - if (num.negative !== 0 && this.negative === 0) { - num.negative = 0; - res = this.sub(num); - num.negative ^= 1; - return res; - } else if (num.negative === 0 && this.negative !== 0) { - this.negative = 0; - res = num.sub(this); - this.negative = 1; - return res; - } - - if (this.length > num.length) return this.clone().iadd(num); - - return num.clone().iadd(this); - }; - - // Subtract `num` from `this` in-place - BN.prototype.isub = function isub (num) { - // this - (-num) = this + num - if (num.negative !== 0) { - num.negative = 0; - var r = this.iadd(num); - num.negative = 1; - return r._normSign(); - - // -this - num = -(this + num) - } else if (this.negative !== 0) { - this.negative = 0; - this.iadd(num); - this.negative = 1; - return this._normSign(); - } - - // At this point both numbers are positive - var cmp = this.cmp(num); - - // Optimization - zeroify - if (cmp === 0) { - this.negative = 0; - this.length = 1; - this.words[0] = 0; - return this; - } - - // a > b - var a, b; - if (cmp > 0) { - a = this; - b = num; - } else { - a = num; - b = this; - } - - var carry = 0; - for (var i = 0; i < b.length; i++) { - r = (a.words[i] | 0) - (b.words[i] | 0) + carry; - carry = r >> 26; - this.words[i] = r & 0x3ffffff; - } - for (; carry !== 0 && i < a.length; i++) { - r = (a.words[i] | 0) + carry; - carry = r >> 26; - this.words[i] = r & 0x3ffffff; - } - - // Copy rest of the words - if (carry === 0 && i < a.length && a !== this) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } - - this.length = Math.max(this.length, i); - - if (a !== this) { - this.negative = 1; - } - - return this.strip(); - }; - - // Subtract `num` from `this` - BN.prototype.sub = function sub (num) { - return this.clone().isub(num); - }; - - function smallMulTo (self, num, out) { - out.negative = num.negative ^ self.negative; - var len = (self.length + num.length) | 0; - out.length = len; - len = (len - 1) | 0; - - // Peel one iteration (compiler can't do it, because of code complexity) - var a = self.words[0] | 0; - var b = num.words[0] | 0; - var r = a * b; - - var lo = r & 0x3ffffff; - var carry = (r / 0x4000000) | 0; - out.words[0] = lo; - - for (var k = 1; k < len; k++) { - // Sum all words with the same `i + j = k` and accumulate `ncarry`, - // note that ncarry could be >= 0x3ffffff - var ncarry = carry >>> 26; - var rword = carry & 0x3ffffff; - var maxJ = Math.min(k, num.length - 1); - for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { - var i = (k - j) | 0; - a = self.words[i] | 0; - b = num.words[j] | 0; - r = a * b + rword; - ncarry += (r / 0x4000000) | 0; - rword = r & 0x3ffffff; - } - out.words[k] = rword | 0; - carry = ncarry | 0; - } - if (carry !== 0) { - out.words[k] = carry | 0; - } else { - out.length--; - } - - return out.strip(); - } - - // TODO(indutny): it may be reasonable to omit it for users who don't need - // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit - // multiplication (like elliptic secp256k1). - var comb10MulTo = function comb10MulTo (self, num, out) { - var a = self.words; - var b = num.words; - var o = out.words; - var c = 0; - var lo; - var mid; - var hi; - var a0 = a[0] | 0; - var al0 = a0 & 0x1fff; - var ah0 = a0 >>> 13; - var a1 = a[1] | 0; - var al1 = a1 & 0x1fff; - var ah1 = a1 >>> 13; - var a2 = a[2] | 0; - var al2 = a2 & 0x1fff; - var ah2 = a2 >>> 13; - var a3 = a[3] | 0; - var al3 = a3 & 0x1fff; - var ah3 = a3 >>> 13; - var a4 = a[4] | 0; - var al4 = a4 & 0x1fff; - var ah4 = a4 >>> 13; - var a5 = a[5] | 0; - var al5 = a5 & 0x1fff; - var ah5 = a5 >>> 13; - var a6 = a[6] | 0; - var al6 = a6 & 0x1fff; - var ah6 = a6 >>> 13; - var a7 = a[7] | 0; - var al7 = a7 & 0x1fff; - var ah7 = a7 >>> 13; - var a8 = a[8] | 0; - var al8 = a8 & 0x1fff; - var ah8 = a8 >>> 13; - var a9 = a[9] | 0; - var al9 = a9 & 0x1fff; - var ah9 = a9 >>> 13; - var b0 = b[0] | 0; - var bl0 = b0 & 0x1fff; - var bh0 = b0 >>> 13; - var b1 = b[1] | 0; - var bl1 = b1 & 0x1fff; - var bh1 = b1 >>> 13; - var b2 = b[2] | 0; - var bl2 = b2 & 0x1fff; - var bh2 = b2 >>> 13; - var b3 = b[3] | 0; - var bl3 = b3 & 0x1fff; - var bh3 = b3 >>> 13; - var b4 = b[4] | 0; - var bl4 = b4 & 0x1fff; - var bh4 = b4 >>> 13; - var b5 = b[5] | 0; - var bl5 = b5 & 0x1fff; - var bh5 = b5 >>> 13; - var b6 = b[6] | 0; - var bl6 = b6 & 0x1fff; - var bh6 = b6 >>> 13; - var b7 = b[7] | 0; - var bl7 = b7 & 0x1fff; - var bh7 = b7 >>> 13; - var b8 = b[8] | 0; - var bl8 = b8 & 0x1fff; - var bh8 = b8 >>> 13; - var b9 = b[9] | 0; - var bl9 = b9 & 0x1fff; - var bh9 = b9 >>> 13; - - out.negative = self.negative ^ num.negative; - out.length = 19; - /* k = 0 */ - lo = Math.imul(al0, bl0); - mid = Math.imul(al0, bh0); - mid = (mid + Math.imul(ah0, bl0)) | 0; - hi = Math.imul(ah0, bh0); - var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0; - w0 &= 0x3ffffff; - /* k = 1 */ - lo = Math.imul(al1, bl0); - mid = Math.imul(al1, bh0); - mid = (mid + Math.imul(ah1, bl0)) | 0; - hi = Math.imul(ah1, bh0); - lo = (lo + Math.imul(al0, bl1)) | 0; - mid = (mid + Math.imul(al0, bh1)) | 0; - mid = (mid + Math.imul(ah0, bl1)) | 0; - hi = (hi + Math.imul(ah0, bh1)) | 0; - var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0; - w1 &= 0x3ffffff; - /* k = 2 */ - lo = Math.imul(al2, bl0); - mid = Math.imul(al2, bh0); - mid = (mid + Math.imul(ah2, bl0)) | 0; - hi = Math.imul(ah2, bh0); - lo = (lo + Math.imul(al1, bl1)) | 0; - mid = (mid + Math.imul(al1, bh1)) | 0; - mid = (mid + Math.imul(ah1, bl1)) | 0; - hi = (hi + Math.imul(ah1, bh1)) | 0; - lo = (lo + Math.imul(al0, bl2)) | 0; - mid = (mid + Math.imul(al0, bh2)) | 0; - mid = (mid + Math.imul(ah0, bl2)) | 0; - hi = (hi + Math.imul(ah0, bh2)) | 0; - var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0; - w2 &= 0x3ffffff; - /* k = 3 */ - lo = Math.imul(al3, bl0); - mid = Math.imul(al3, bh0); - mid = (mid + Math.imul(ah3, bl0)) | 0; - hi = Math.imul(ah3, bh0); - lo = (lo + Math.imul(al2, bl1)) | 0; - mid = (mid + Math.imul(al2, bh1)) | 0; - mid = (mid + Math.imul(ah2, bl1)) | 0; - hi = (hi + Math.imul(ah2, bh1)) | 0; - lo = (lo + Math.imul(al1, bl2)) | 0; - mid = (mid + Math.imul(al1, bh2)) | 0; - mid = (mid + Math.imul(ah1, bl2)) | 0; - hi = (hi + Math.imul(ah1, bh2)) | 0; - lo = (lo + Math.imul(al0, bl3)) | 0; - mid = (mid + Math.imul(al0, bh3)) | 0; - mid = (mid + Math.imul(ah0, bl3)) | 0; - hi = (hi + Math.imul(ah0, bh3)) | 0; - var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0; - w3 &= 0x3ffffff; - /* k = 4 */ - lo = Math.imul(al4, bl0); - mid = Math.imul(al4, bh0); - mid = (mid + Math.imul(ah4, bl0)) | 0; - hi = Math.imul(ah4, bh0); - lo = (lo + Math.imul(al3, bl1)) | 0; - mid = (mid + Math.imul(al3, bh1)) | 0; - mid = (mid + Math.imul(ah3, bl1)) | 0; - hi = (hi + Math.imul(ah3, bh1)) | 0; - lo = (lo + Math.imul(al2, bl2)) | 0; - mid = (mid + Math.imul(al2, bh2)) | 0; - mid = (mid + Math.imul(ah2, bl2)) | 0; - hi = (hi + Math.imul(ah2, bh2)) | 0; - lo = (lo + Math.imul(al1, bl3)) | 0; - mid = (mid + Math.imul(al1, bh3)) | 0; - mid = (mid + Math.imul(ah1, bl3)) | 0; - hi = (hi + Math.imul(ah1, bh3)) | 0; - lo = (lo + Math.imul(al0, bl4)) | 0; - mid = (mid + Math.imul(al0, bh4)) | 0; - mid = (mid + Math.imul(ah0, bl4)) | 0; - hi = (hi + Math.imul(ah0, bh4)) | 0; - var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0; - w4 &= 0x3ffffff; - /* k = 5 */ - lo = Math.imul(al5, bl0); - mid = Math.imul(al5, bh0); - mid = (mid + Math.imul(ah5, bl0)) | 0; - hi = Math.imul(ah5, bh0); - lo = (lo + Math.imul(al4, bl1)) | 0; - mid = (mid + Math.imul(al4, bh1)) | 0; - mid = (mid + Math.imul(ah4, bl1)) | 0; - hi = (hi + Math.imul(ah4, bh1)) | 0; - lo = (lo + Math.imul(al3, bl2)) | 0; - mid = (mid + Math.imul(al3, bh2)) | 0; - mid = (mid + Math.imul(ah3, bl2)) | 0; - hi = (hi + Math.imul(ah3, bh2)) | 0; - lo = (lo + Math.imul(al2, bl3)) | 0; - mid = (mid + Math.imul(al2, bh3)) | 0; - mid = (mid + Math.imul(ah2, bl3)) | 0; - hi = (hi + Math.imul(ah2, bh3)) | 0; - lo = (lo + Math.imul(al1, bl4)) | 0; - mid = (mid + Math.imul(al1, bh4)) | 0; - mid = (mid + Math.imul(ah1, bl4)) | 0; - hi = (hi + Math.imul(ah1, bh4)) | 0; - lo = (lo + Math.imul(al0, bl5)) | 0; - mid = (mid + Math.imul(al0, bh5)) | 0; - mid = (mid + Math.imul(ah0, bl5)) | 0; - hi = (hi + Math.imul(ah0, bh5)) | 0; - var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0; - w5 &= 0x3ffffff; - /* k = 6 */ - lo = Math.imul(al6, bl0); - mid = Math.imul(al6, bh0); - mid = (mid + Math.imul(ah6, bl0)) | 0; - hi = Math.imul(ah6, bh0); - lo = (lo + Math.imul(al5, bl1)) | 0; - mid = (mid + Math.imul(al5, bh1)) | 0; - mid = (mid + Math.imul(ah5, bl1)) | 0; - hi = (hi + Math.imul(ah5, bh1)) | 0; - lo = (lo + Math.imul(al4, bl2)) | 0; - mid = (mid + Math.imul(al4, bh2)) | 0; - mid = (mid + Math.imul(ah4, bl2)) | 0; - hi = (hi + Math.imul(ah4, bh2)) | 0; - lo = (lo + Math.imul(al3, bl3)) | 0; - mid = (mid + Math.imul(al3, bh3)) | 0; - mid = (mid + Math.imul(ah3, bl3)) | 0; - hi = (hi + Math.imul(ah3, bh3)) | 0; - lo = (lo + Math.imul(al2, bl4)) | 0; - mid = (mid + Math.imul(al2, bh4)) | 0; - mid = (mid + Math.imul(ah2, bl4)) | 0; - hi = (hi + Math.imul(ah2, bh4)) | 0; - lo = (lo + Math.imul(al1, bl5)) | 0; - mid = (mid + Math.imul(al1, bh5)) | 0; - mid = (mid + Math.imul(ah1, bl5)) | 0; - hi = (hi + Math.imul(ah1, bh5)) | 0; - lo = (lo + Math.imul(al0, bl6)) | 0; - mid = (mid + Math.imul(al0, bh6)) | 0; - mid = (mid + Math.imul(ah0, bl6)) | 0; - hi = (hi + Math.imul(ah0, bh6)) | 0; - var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0; - w6 &= 0x3ffffff; - /* k = 7 */ - lo = Math.imul(al7, bl0); - mid = Math.imul(al7, bh0); - mid = (mid + Math.imul(ah7, bl0)) | 0; - hi = Math.imul(ah7, bh0); - lo = (lo + Math.imul(al6, bl1)) | 0; - mid = (mid + Math.imul(al6, bh1)) | 0; - mid = (mid + Math.imul(ah6, bl1)) | 0; - hi = (hi + Math.imul(ah6, bh1)) | 0; - lo = (lo + Math.imul(al5, bl2)) | 0; - mid = (mid + Math.imul(al5, bh2)) | 0; - mid = (mid + Math.imul(ah5, bl2)) | 0; - hi = (hi + Math.imul(ah5, bh2)) | 0; - lo = (lo + Math.imul(al4, bl3)) | 0; - mid = (mid + Math.imul(al4, bh3)) | 0; - mid = (mid + Math.imul(ah4, bl3)) | 0; - hi = (hi + Math.imul(ah4, bh3)) | 0; - lo = (lo + Math.imul(al3, bl4)) | 0; - mid = (mid + Math.imul(al3, bh4)) | 0; - mid = (mid + Math.imul(ah3, bl4)) | 0; - hi = (hi + Math.imul(ah3, bh4)) | 0; - lo = (lo + Math.imul(al2, bl5)) | 0; - mid = (mid + Math.imul(al2, bh5)) | 0; - mid = (mid + Math.imul(ah2, bl5)) | 0; - hi = (hi + Math.imul(ah2, bh5)) | 0; - lo = (lo + Math.imul(al1, bl6)) | 0; - mid = (mid + Math.imul(al1, bh6)) | 0; - mid = (mid + Math.imul(ah1, bl6)) | 0; - hi = (hi + Math.imul(ah1, bh6)) | 0; - lo = (lo + Math.imul(al0, bl7)) | 0; - mid = (mid + Math.imul(al0, bh7)) | 0; - mid = (mid + Math.imul(ah0, bl7)) | 0; - hi = (hi + Math.imul(ah0, bh7)) | 0; - var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0; - w7 &= 0x3ffffff; - /* k = 8 */ - lo = Math.imul(al8, bl0); - mid = Math.imul(al8, bh0); - mid = (mid + Math.imul(ah8, bl0)) | 0; - hi = Math.imul(ah8, bh0); - lo = (lo + Math.imul(al7, bl1)) | 0; - mid = (mid + Math.imul(al7, bh1)) | 0; - mid = (mid + Math.imul(ah7, bl1)) | 0; - hi = (hi + Math.imul(ah7, bh1)) | 0; - lo = (lo + Math.imul(al6, bl2)) | 0; - mid = (mid + Math.imul(al6, bh2)) | 0; - mid = (mid + Math.imul(ah6, bl2)) | 0; - hi = (hi + Math.imul(ah6, bh2)) | 0; - lo = (lo + Math.imul(al5, bl3)) | 0; - mid = (mid + Math.imul(al5, bh3)) | 0; - mid = (mid + Math.imul(ah5, bl3)) | 0; - hi = (hi + Math.imul(ah5, bh3)) | 0; - lo = (lo + Math.imul(al4, bl4)) | 0; - mid = (mid + Math.imul(al4, bh4)) | 0; - mid = (mid + Math.imul(ah4, bl4)) | 0; - hi = (hi + Math.imul(ah4, bh4)) | 0; - lo = (lo + Math.imul(al3, bl5)) | 0; - mid = (mid + Math.imul(al3, bh5)) | 0; - mid = (mid + Math.imul(ah3, bl5)) | 0; - hi = (hi + Math.imul(ah3, bh5)) | 0; - lo = (lo + Math.imul(al2, bl6)) | 0; - mid = (mid + Math.imul(al2, bh6)) | 0; - mid = (mid + Math.imul(ah2, bl6)) | 0; - hi = (hi + Math.imul(ah2, bh6)) | 0; - lo = (lo + Math.imul(al1, bl7)) | 0; - mid = (mid + Math.imul(al1, bh7)) | 0; - mid = (mid + Math.imul(ah1, bl7)) | 0; - hi = (hi + Math.imul(ah1, bh7)) | 0; - lo = (lo + Math.imul(al0, bl8)) | 0; - mid = (mid + Math.imul(al0, bh8)) | 0; - mid = (mid + Math.imul(ah0, bl8)) | 0; - hi = (hi + Math.imul(ah0, bh8)) | 0; - var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0; - w8 &= 0x3ffffff; - /* k = 9 */ - lo = Math.imul(al9, bl0); - mid = Math.imul(al9, bh0); - mid = (mid + Math.imul(ah9, bl0)) | 0; - hi = Math.imul(ah9, bh0); - lo = (lo + Math.imul(al8, bl1)) | 0; - mid = (mid + Math.imul(al8, bh1)) | 0; - mid = (mid + Math.imul(ah8, bl1)) | 0; - hi = (hi + Math.imul(ah8, bh1)) | 0; - lo = (lo + Math.imul(al7, bl2)) | 0; - mid = (mid + Math.imul(al7, bh2)) | 0; - mid = (mid + Math.imul(ah7, bl2)) | 0; - hi = (hi + Math.imul(ah7, bh2)) | 0; - lo = (lo + Math.imul(al6, bl3)) | 0; - mid = (mid + Math.imul(al6, bh3)) | 0; - mid = (mid + Math.imul(ah6, bl3)) | 0; - hi = (hi + Math.imul(ah6, bh3)) | 0; - lo = (lo + Math.imul(al5, bl4)) | 0; - mid = (mid + Math.imul(al5, bh4)) | 0; - mid = (mid + Math.imul(ah5, bl4)) | 0; - hi = (hi + Math.imul(ah5, bh4)) | 0; - lo = (lo + Math.imul(al4, bl5)) | 0; - mid = (mid + Math.imul(al4, bh5)) | 0; - mid = (mid + Math.imul(ah4, bl5)) | 0; - hi = (hi + Math.imul(ah4, bh5)) | 0; - lo = (lo + Math.imul(al3, bl6)) | 0; - mid = (mid + Math.imul(al3, bh6)) | 0; - mid = (mid + Math.imul(ah3, bl6)) | 0; - hi = (hi + Math.imul(ah3, bh6)) | 0; - lo = (lo + Math.imul(al2, bl7)) | 0; - mid = (mid + Math.imul(al2, bh7)) | 0; - mid = (mid + Math.imul(ah2, bl7)) | 0; - hi = (hi + Math.imul(ah2, bh7)) | 0; - lo = (lo + Math.imul(al1, bl8)) | 0; - mid = (mid + Math.imul(al1, bh8)) | 0; - mid = (mid + Math.imul(ah1, bl8)) | 0; - hi = (hi + Math.imul(ah1, bh8)) | 0; - lo = (lo + Math.imul(al0, bl9)) | 0; - mid = (mid + Math.imul(al0, bh9)) | 0; - mid = (mid + Math.imul(ah0, bl9)) | 0; - hi = (hi + Math.imul(ah0, bh9)) | 0; - var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0; - w9 &= 0x3ffffff; - /* k = 10 */ - lo = Math.imul(al9, bl1); - mid = Math.imul(al9, bh1); - mid = (mid + Math.imul(ah9, bl1)) | 0; - hi = Math.imul(ah9, bh1); - lo = (lo + Math.imul(al8, bl2)) | 0; - mid = (mid + Math.imul(al8, bh2)) | 0; - mid = (mid + Math.imul(ah8, bl2)) | 0; - hi = (hi + Math.imul(ah8, bh2)) | 0; - lo = (lo + Math.imul(al7, bl3)) | 0; - mid = (mid + Math.imul(al7, bh3)) | 0; - mid = (mid + Math.imul(ah7, bl3)) | 0; - hi = (hi + Math.imul(ah7, bh3)) | 0; - lo = (lo + Math.imul(al6, bl4)) | 0; - mid = (mid + Math.imul(al6, bh4)) | 0; - mid = (mid + Math.imul(ah6, bl4)) | 0; - hi = (hi + Math.imul(ah6, bh4)) | 0; - lo = (lo + Math.imul(al5, bl5)) | 0; - mid = (mid + Math.imul(al5, bh5)) | 0; - mid = (mid + Math.imul(ah5, bl5)) | 0; - hi = (hi + Math.imul(ah5, bh5)) | 0; - lo = (lo + Math.imul(al4, bl6)) | 0; - mid = (mid + Math.imul(al4, bh6)) | 0; - mid = (mid + Math.imul(ah4, bl6)) | 0; - hi = (hi + Math.imul(ah4, bh6)) | 0; - lo = (lo + Math.imul(al3, bl7)) | 0; - mid = (mid + Math.imul(al3, bh7)) | 0; - mid = (mid + Math.imul(ah3, bl7)) | 0; - hi = (hi + Math.imul(ah3, bh7)) | 0; - lo = (lo + Math.imul(al2, bl8)) | 0; - mid = (mid + Math.imul(al2, bh8)) | 0; - mid = (mid + Math.imul(ah2, bl8)) | 0; - hi = (hi + Math.imul(ah2, bh8)) | 0; - lo = (lo + Math.imul(al1, bl9)) | 0; - mid = (mid + Math.imul(al1, bh9)) | 0; - mid = (mid + Math.imul(ah1, bl9)) | 0; - hi = (hi + Math.imul(ah1, bh9)) | 0; - var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0; - w10 &= 0x3ffffff; - /* k = 11 */ - lo = Math.imul(al9, bl2); - mid = Math.imul(al9, bh2); - mid = (mid + Math.imul(ah9, bl2)) | 0; - hi = Math.imul(ah9, bh2); - lo = (lo + Math.imul(al8, bl3)) | 0; - mid = (mid + Math.imul(al8, bh3)) | 0; - mid = (mid + Math.imul(ah8, bl3)) | 0; - hi = (hi + Math.imul(ah8, bh3)) | 0; - lo = (lo + Math.imul(al7, bl4)) | 0; - mid = (mid + Math.imul(al7, bh4)) | 0; - mid = (mid + Math.imul(ah7, bl4)) | 0; - hi = (hi + Math.imul(ah7, bh4)) | 0; - lo = (lo + Math.imul(al6, bl5)) | 0; - mid = (mid + Math.imul(al6, bh5)) | 0; - mid = (mid + Math.imul(ah6, bl5)) | 0; - hi = (hi + Math.imul(ah6, bh5)) | 0; - lo = (lo + Math.imul(al5, bl6)) | 0; - mid = (mid + Math.imul(al5, bh6)) | 0; - mid = (mid + Math.imul(ah5, bl6)) | 0; - hi = (hi + Math.imul(ah5, bh6)) | 0; - lo = (lo + Math.imul(al4, bl7)) | 0; - mid = (mid + Math.imul(al4, bh7)) | 0; - mid = (mid + Math.imul(ah4, bl7)) | 0; - hi = (hi + Math.imul(ah4, bh7)) | 0; - lo = (lo + Math.imul(al3, bl8)) | 0; - mid = (mid + Math.imul(al3, bh8)) | 0; - mid = (mid + Math.imul(ah3, bl8)) | 0; - hi = (hi + Math.imul(ah3, bh8)) | 0; - lo = (lo + Math.imul(al2, bl9)) | 0; - mid = (mid + Math.imul(al2, bh9)) | 0; - mid = (mid + Math.imul(ah2, bl9)) | 0; - hi = (hi + Math.imul(ah2, bh9)) | 0; - var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0; - w11 &= 0x3ffffff; - /* k = 12 */ - lo = Math.imul(al9, bl3); - mid = Math.imul(al9, bh3); - mid = (mid + Math.imul(ah9, bl3)) | 0; - hi = Math.imul(ah9, bh3); - lo = (lo + Math.imul(al8, bl4)) | 0; - mid = (mid + Math.imul(al8, bh4)) | 0; - mid = (mid + Math.imul(ah8, bl4)) | 0; - hi = (hi + Math.imul(ah8, bh4)) | 0; - lo = (lo + Math.imul(al7, bl5)) | 0; - mid = (mid + Math.imul(al7, bh5)) | 0; - mid = (mid + Math.imul(ah7, bl5)) | 0; - hi = (hi + Math.imul(ah7, bh5)) | 0; - lo = (lo + Math.imul(al6, bl6)) | 0; - mid = (mid + Math.imul(al6, bh6)) | 0; - mid = (mid + Math.imul(ah6, bl6)) | 0; - hi = (hi + Math.imul(ah6, bh6)) | 0; - lo = (lo + Math.imul(al5, bl7)) | 0; - mid = (mid + Math.imul(al5, bh7)) | 0; - mid = (mid + Math.imul(ah5, bl7)) | 0; - hi = (hi + Math.imul(ah5, bh7)) | 0; - lo = (lo + Math.imul(al4, bl8)) | 0; - mid = (mid + Math.imul(al4, bh8)) | 0; - mid = (mid + Math.imul(ah4, bl8)) | 0; - hi = (hi + Math.imul(ah4, bh8)) | 0; - lo = (lo + Math.imul(al3, bl9)) | 0; - mid = (mid + Math.imul(al3, bh9)) | 0; - mid = (mid + Math.imul(ah3, bl9)) | 0; - hi = (hi + Math.imul(ah3, bh9)) | 0; - var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0; - w12 &= 0x3ffffff; - /* k = 13 */ - lo = Math.imul(al9, bl4); - mid = Math.imul(al9, bh4); - mid = (mid + Math.imul(ah9, bl4)) | 0; - hi = Math.imul(ah9, bh4); - lo = (lo + Math.imul(al8, bl5)) | 0; - mid = (mid + Math.imul(al8, bh5)) | 0; - mid = (mid + Math.imul(ah8, bl5)) | 0; - hi = (hi + Math.imul(ah8, bh5)) | 0; - lo = (lo + Math.imul(al7, bl6)) | 0; - mid = (mid + Math.imul(al7, bh6)) | 0; - mid = (mid + Math.imul(ah7, bl6)) | 0; - hi = (hi + Math.imul(ah7, bh6)) | 0; - lo = (lo + Math.imul(al6, bl7)) | 0; - mid = (mid + Math.imul(al6, bh7)) | 0; - mid = (mid + Math.imul(ah6, bl7)) | 0; - hi = (hi + Math.imul(ah6, bh7)) | 0; - lo = (lo + Math.imul(al5, bl8)) | 0; - mid = (mid + Math.imul(al5, bh8)) | 0; - mid = (mid + Math.imul(ah5, bl8)) | 0; - hi = (hi + Math.imul(ah5, bh8)) | 0; - lo = (lo + Math.imul(al4, bl9)) | 0; - mid = (mid + Math.imul(al4, bh9)) | 0; - mid = (mid + Math.imul(ah4, bl9)) | 0; - hi = (hi + Math.imul(ah4, bh9)) | 0; - var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0; - w13 &= 0x3ffffff; - /* k = 14 */ - lo = Math.imul(al9, bl5); - mid = Math.imul(al9, bh5); - mid = (mid + Math.imul(ah9, bl5)) | 0; - hi = Math.imul(ah9, bh5); - lo = (lo + Math.imul(al8, bl6)) | 0; - mid = (mid + Math.imul(al8, bh6)) | 0; - mid = (mid + Math.imul(ah8, bl6)) | 0; - hi = (hi + Math.imul(ah8, bh6)) | 0; - lo = (lo + Math.imul(al7, bl7)) | 0; - mid = (mid + Math.imul(al7, bh7)) | 0; - mid = (mid + Math.imul(ah7, bl7)) | 0; - hi = (hi + Math.imul(ah7, bh7)) | 0; - lo = (lo + Math.imul(al6, bl8)) | 0; - mid = (mid + Math.imul(al6, bh8)) | 0; - mid = (mid + Math.imul(ah6, bl8)) | 0; - hi = (hi + Math.imul(ah6, bh8)) | 0; - lo = (lo + Math.imul(al5, bl9)) | 0; - mid = (mid + Math.imul(al5, bh9)) | 0; - mid = (mid + Math.imul(ah5, bl9)) | 0; - hi = (hi + Math.imul(ah5, bh9)) | 0; - var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0; - w14 &= 0x3ffffff; - /* k = 15 */ - lo = Math.imul(al9, bl6); - mid = Math.imul(al9, bh6); - mid = (mid + Math.imul(ah9, bl6)) | 0; - hi = Math.imul(ah9, bh6); - lo = (lo + Math.imul(al8, bl7)) | 0; - mid = (mid + Math.imul(al8, bh7)) | 0; - mid = (mid + Math.imul(ah8, bl7)) | 0; - hi = (hi + Math.imul(ah8, bh7)) | 0; - lo = (lo + Math.imul(al7, bl8)) | 0; - mid = (mid + Math.imul(al7, bh8)) | 0; - mid = (mid + Math.imul(ah7, bl8)) | 0; - hi = (hi + Math.imul(ah7, bh8)) | 0; - lo = (lo + Math.imul(al6, bl9)) | 0; - mid = (mid + Math.imul(al6, bh9)) | 0; - mid = (mid + Math.imul(ah6, bl9)) | 0; - hi = (hi + Math.imul(ah6, bh9)) | 0; - var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0; - w15 &= 0x3ffffff; - /* k = 16 */ - lo = Math.imul(al9, bl7); - mid = Math.imul(al9, bh7); - mid = (mid + Math.imul(ah9, bl7)) | 0; - hi = Math.imul(ah9, bh7); - lo = (lo + Math.imul(al8, bl8)) | 0; - mid = (mid + Math.imul(al8, bh8)) | 0; - mid = (mid + Math.imul(ah8, bl8)) | 0; - hi = (hi + Math.imul(ah8, bh8)) | 0; - lo = (lo + Math.imul(al7, bl9)) | 0; - mid = (mid + Math.imul(al7, bh9)) | 0; - mid = (mid + Math.imul(ah7, bl9)) | 0; - hi = (hi + Math.imul(ah7, bh9)) | 0; - var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0; - w16 &= 0x3ffffff; - /* k = 17 */ - lo = Math.imul(al9, bl8); - mid = Math.imul(al9, bh8); - mid = (mid + Math.imul(ah9, bl8)) | 0; - hi = Math.imul(ah9, bh8); - lo = (lo + Math.imul(al8, bl9)) | 0; - mid = (mid + Math.imul(al8, bh9)) | 0; - mid = (mid + Math.imul(ah8, bl9)) | 0; - hi = (hi + Math.imul(ah8, bh9)) | 0; - var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0; - w17 &= 0x3ffffff; - /* k = 18 */ - lo = Math.imul(al9, bl9); - mid = Math.imul(al9, bh9); - mid = (mid + Math.imul(ah9, bl9)) | 0; - hi = Math.imul(ah9, bh9); - var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0; - c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0; - w18 &= 0x3ffffff; - o[0] = w0; - o[1] = w1; - o[2] = w2; - o[3] = w3; - o[4] = w4; - o[5] = w5; - o[6] = w6; - o[7] = w7; - o[8] = w8; - o[9] = w9; - o[10] = w10; - o[11] = w11; - o[12] = w12; - o[13] = w13; - o[14] = w14; - o[15] = w15; - o[16] = w16; - o[17] = w17; - o[18] = w18; - if (c !== 0) { - o[19] = c; - out.length++; - } - return out; - }; - - // Polyfill comb - if (!Math.imul) { - comb10MulTo = smallMulTo; - } - - function bigMulTo (self, num, out) { - out.negative = num.negative ^ self.negative; - out.length = self.length + num.length; - - var carry = 0; - var hncarry = 0; - for (var k = 0; k < out.length - 1; k++) { - // Sum all words with the same `i + j = k` and accumulate `ncarry`, - // note that ncarry could be >= 0x3ffffff - var ncarry = hncarry; - hncarry = 0; - var rword = carry & 0x3ffffff; - var maxJ = Math.min(k, num.length - 1); - for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) { - var i = k - j; - var a = self.words[i] | 0; - var b = num.words[j] | 0; - var r = a * b; - - var lo = r & 0x3ffffff; - ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; - lo = (lo + rword) | 0; - rword = lo & 0x3ffffff; - ncarry = (ncarry + (lo >>> 26)) | 0; - - hncarry += ncarry >>> 26; - ncarry &= 0x3ffffff; - } - out.words[k] = rword; - carry = ncarry; - ncarry = hncarry; - } - if (carry !== 0) { - out.words[k] = carry; - } else { - out.length--; - } - - return out.strip(); - } - - function jumboMulTo (self, num, out) { - var fftm = new FFTM(); - return fftm.mulp(self, num, out); - } - - BN.prototype.mulTo = function mulTo (num, out) { - var res; - var len = this.length + num.length; - if (this.length === 10 && num.length === 10) { - res = comb10MulTo(this, num, out); - } else if (len < 63) { - res = smallMulTo(this, num, out); - } else if (len < 1024) { - res = bigMulTo(this, num, out); - } else { - res = jumboMulTo(this, num, out); - } - - return res; - }; - - // Cooley-Tukey algorithm for FFT - // slightly revisited to rely on looping instead of recursion - - function FFTM (x, y) { - this.x = x; - this.y = y; - } - - FFTM.prototype.makeRBT = function makeRBT (N) { - var t = new Array(N); - var l = BN.prototype._countBits(N) - 1; - for (var i = 0; i < N; i++) { - t[i] = this.revBin(i, l, N); - } - - return t; - }; - - // Returns binary-reversed representation of `x` - FFTM.prototype.revBin = function revBin (x, l, N) { - if (x === 0 || x === N - 1) return x; - - var rb = 0; - for (var i = 0; i < l; i++) { - rb |= (x & 1) << (l - i - 1); - x >>= 1; - } - - return rb; - }; - - // Performs "tweedling" phase, therefore 'emulating' - // behaviour of the recursive algorithm - FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) { - for (var i = 0; i < N; i++) { - rtws[i] = rws[rbt[i]]; - itws[i] = iws[rbt[i]]; - } - }; - - FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { - this.permute(rbt, rws, iws, rtws, itws, N); - - for (var s = 1; s < N; s <<= 1) { - var l = s << 1; - - var rtwdf = Math.cos(2 * Math.PI / l); - var itwdf = Math.sin(2 * Math.PI / l); - - for (var p = 0; p < N; p += l) { - var rtwdf_ = rtwdf; - var itwdf_ = itwdf; - - for (var j = 0; j < s; j++) { - var re = rtws[p + j]; - var ie = itws[p + j]; - - var ro = rtws[p + j + s]; - var io = itws[p + j + s]; - - var rx = rtwdf_ * ro - itwdf_ * io; - - io = rtwdf_ * io + itwdf_ * ro; - ro = rx; - - rtws[p + j] = re + ro; - itws[p + j] = ie + io; - - rtws[p + j + s] = re - ro; - itws[p + j + s] = ie - io; - - /* jshint maxdepth : false */ - if (j !== l) { - rx = rtwdf * rtwdf_ - itwdf * itwdf_; - - itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; - rtwdf_ = rx; - } - } - } - } - }; - - FFTM.prototype.guessLen13b = function guessLen13b (n, m) { - var N = Math.max(m, n) | 1; - var odd = N & 1; - var i = 0; - for (N = N / 2 | 0; N; N = N >>> 1) { - i++; - } - - return 1 << i + 1 + odd; - }; - - FFTM.prototype.conjugate = function conjugate (rws, iws, N) { - if (N <= 1) return; - - for (var i = 0; i < N / 2; i++) { - var t = rws[i]; - - rws[i] = rws[N - i - 1]; - rws[N - i - 1] = t; - - t = iws[i]; - - iws[i] = -iws[N - i - 1]; - iws[N - i - 1] = -t; - } - }; - - FFTM.prototype.normalize13b = function normalize13b (ws, N) { - var carry = 0; - for (var i = 0; i < N / 2; i++) { - var w = Math.round(ws[2 * i + 1] / N) * 0x2000 + - Math.round(ws[2 * i] / N) + - carry; - - ws[i] = w & 0x3ffffff; - - if (w < 0x4000000) { - carry = 0; - } else { - carry = w / 0x4000000 | 0; - } - } - - return ws; - }; - - FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { - var carry = 0; - for (var i = 0; i < len; i++) { - carry = carry + (ws[i] | 0); - - rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; - rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; - } - - // Pad with zeroes - for (i = 2 * len; i < N; ++i) { - rws[i] = 0; - } - - assert(carry === 0); - assert((carry & ~0x1fff) === 0); - }; - - FFTM.prototype.stub = function stub (N) { - var ph = new Array(N); - for (var i = 0; i < N; i++) { - ph[i] = 0; - } - - return ph; - }; - - FFTM.prototype.mulp = function mulp (x, y, out) { - var N = 2 * this.guessLen13b(x.length, y.length); - - var rbt = this.makeRBT(N); - - var _ = this.stub(N); - - var rws = new Array(N); - var rwst = new Array(N); - var iwst = new Array(N); - - var nrws = new Array(N); - var nrwst = new Array(N); - var niwst = new Array(N); - - var rmws = out.words; - rmws.length = N; - - this.convert13b(x.words, x.length, rws, N); - this.convert13b(y.words, y.length, nrws, N); - - this.transform(rws, _, rwst, iwst, N, rbt); - this.transform(nrws, _, nrwst, niwst, N, rbt); - - for (var i = 0; i < N; i++) { - var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i]; - iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i]; - rwst[i] = rx; - } - - this.conjugate(rwst, iwst, N); - this.transform(rwst, iwst, rmws, _, N, rbt); - this.conjugate(rmws, _, N); - this.normalize13b(rmws, N); - - out.negative = x.negative ^ y.negative; - out.length = x.length + y.length; - return out.strip(); - }; - - // Multiply `this` by `num` - BN.prototype.mul = function mul (num) { - var out = new BN(null); - out.words = new Array(this.length + num.length); - return this.mulTo(num, out); - }; - - // Multiply employing FFT - BN.prototype.mulf = function mulf (num) { - var out = new BN(null); - out.words = new Array(this.length + num.length); - return jumboMulTo(this, num, out); - }; - - // In-place Multiplication - BN.prototype.imul = function imul (num) { - return this.clone().mulTo(num, this); - }; - - BN.prototype.imuln = function imuln (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); - - // Carry - var carry = 0; - for (var i = 0; i < this.length; i++) { - var w = (this.words[i] | 0) * num; - var lo = (w & 0x3ffffff) + (carry & 0x3ffffff); - carry >>= 26; - carry += (w / 0x4000000) | 0; - // NOTE: lo is 27bit maximum - carry += lo >>> 26; - this.words[i] = lo & 0x3ffffff; - } - - if (carry !== 0) { - this.words[i] = carry; - this.length++; - } - - return this; - }; - - BN.prototype.muln = function muln (num) { - return this.clone().imuln(num); - }; - - // `this` * `this` - BN.prototype.sqr = function sqr () { - return this.mul(this); - }; - - // `this` * `this` in-place - BN.prototype.isqr = function isqr () { - return this.imul(this.clone()); - }; - - // Math.pow(`this`, `num`) - BN.prototype.pow = function pow (num) { - var w = toBitArray(num); - if (w.length === 0) return new BN(1); - - // Skip leading zeroes - var res = this; - for (var i = 0; i < w.length; i++, res = res.sqr()) { - if (w[i] !== 0) break; - } - - if (++i < w.length) { - for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { - if (w[i] === 0) continue; - - res = res.mul(q); - } - } - - return res; - }; - - // Shift-left in-place - BN.prototype.iushln = function iushln (bits) { - assert(typeof bits === 'number' && bits >= 0); - var r = bits % 26; - var s = (bits - r) / 26; - var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r); - var i; - - if (r !== 0) { - var carry = 0; - - for (i = 0; i < this.length; i++) { - var newCarry = this.words[i] & carryMask; - var c = ((this.words[i] | 0) - newCarry) << r; - this.words[i] = c | carry; - carry = newCarry >>> (26 - r); - } - - if (carry) { - this.words[i] = carry; - this.length++; - } - } - - if (s !== 0) { - for (i = this.length - 1; i >= 0; i--) { - this.words[i + s] = this.words[i]; - } - - for (i = 0; i < s; i++) { - this.words[i] = 0; - } - - this.length += s; - } - - return this.strip(); - }; - - BN.prototype.ishln = function ishln (bits) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushln(bits); - }; - - // Shift-right in-place - // NOTE: `hint` is a lowest bit before trailing zeroes - // NOTE: if `extended` is present - it will be filled with destroyed bits - BN.prototype.iushrn = function iushrn (bits, hint, extended) { - assert(typeof bits === 'number' && bits >= 0); - var h; - if (hint) { - h = (hint - (hint % 26)) / 26; - } else { - h = 0; - } - - var r = bits % 26; - var s = Math.min((bits - r) / 26, this.length); - var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); - var maskedWords = extended; - - h -= s; - h = Math.max(0, h); - - // Extended mode, copy masked part - if (maskedWords) { - for (var i = 0; i < s; i++) { - maskedWords.words[i] = this.words[i]; - } - maskedWords.length = s; - } - - if (s === 0) { - // No-op, we should not move anything at all - } else if (this.length > s) { - this.length -= s; - for (i = 0; i < this.length; i++) { - this.words[i] = this.words[i + s]; - } - } else { - this.words[0] = 0; - this.length = 1; - } - - var carry = 0; - for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) { - var word = this.words[i] | 0; - this.words[i] = (carry << (26 - r)) | (word >>> r); - carry = word & mask; - } - - // Push carried bits as a mask - if (maskedWords && carry !== 0) { - maskedWords.words[maskedWords.length++] = carry; - } - - if (this.length === 0) { - this.words[0] = 0; - this.length = 1; - } - - return this.strip(); - }; - - BN.prototype.ishrn = function ishrn (bits, hint, extended) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushrn(bits, hint, extended); - }; - - // Shift-left - BN.prototype.shln = function shln (bits) { - return this.clone().ishln(bits); - }; - - BN.prototype.ushln = function ushln (bits) { - return this.clone().iushln(bits); - }; - - // Shift-right - BN.prototype.shrn = function shrn (bits) { - return this.clone().ishrn(bits); - }; - - BN.prototype.ushrn = function ushrn (bits) { - return this.clone().iushrn(bits); - }; - - // Test if n bit is set - BN.prototype.testn = function testn (bit) { - assert(typeof bit === 'number' && bit >= 0); - var r = bit % 26; - var s = (bit - r) / 26; - var q = 1 << r; - - // Fast case: bit is much higher than all existing words - if (this.length <= s) return false; - - // Check bit and return - var w = this.words[s]; - - return !!(w & q); - }; - - // Return only lowers bits of number (in-place) - BN.prototype.imaskn = function imaskn (bits) { - assert(typeof bits === 'number' && bits >= 0); - var r = bits % 26; - var s = (bits - r) / 26; - - assert(this.negative === 0, 'imaskn works only with positive numbers'); - - if (this.length <= s) { - return this; - } - - if (r !== 0) { - s++; - } - this.length = Math.min(s, this.length); - - if (r !== 0) { - var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); - this.words[this.length - 1] &= mask; - } - - return this.strip(); - }; - - // Return only lowers bits of number - BN.prototype.maskn = function maskn (bits) { - return this.clone().imaskn(bits); - }; - - // Add plain number `num` to `this` - BN.prototype.iaddn = function iaddn (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); - if (num < 0) return this.isubn(-num); - - // Possible sign change - if (this.negative !== 0) { - if (this.length === 1 && (this.words[0] | 0) < num) { - this.words[0] = num - (this.words[0] | 0); - this.negative = 0; - return this; - } - - this.negative = 0; - this.isubn(num); - this.negative = 1; - return this; - } - - // Add without checks - return this._iaddn(num); - }; - - BN.prototype._iaddn = function _iaddn (num) { - this.words[0] += num; - - // Carry - for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) { - this.words[i] -= 0x4000000; - if (i === this.length - 1) { - this.words[i + 1] = 1; - } else { - this.words[i + 1]++; - } - } - this.length = Math.max(this.length, i + 1); - - return this; - }; - - // Subtract plain number `num` from `this` - BN.prototype.isubn = function isubn (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); - if (num < 0) return this.iaddn(-num); - - if (this.negative !== 0) { - this.negative = 0; - this.iaddn(num); - this.negative = 1; - return this; - } - - this.words[0] -= num; - - if (this.length === 1 && this.words[0] < 0) { - this.words[0] = -this.words[0]; - this.negative = 1; - } else { - // Carry - for (var i = 0; i < this.length && this.words[i] < 0; i++) { - this.words[i] += 0x4000000; - this.words[i + 1] -= 1; - } - } - - return this.strip(); - }; - - BN.prototype.addn = function addn (num) { - return this.clone().iaddn(num); - }; - - BN.prototype.subn = function subn (num) { - return this.clone().isubn(num); - }; - - BN.prototype.iabs = function iabs () { - this.negative = 0; - - return this; - }; - - BN.prototype.abs = function abs () { - return this.clone().iabs(); - }; - - BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { - var len = num.length + shift; - var i; - - this._expand(len); - - var w; - var carry = 0; - for (i = 0; i < num.length; i++) { - w = (this.words[i + shift] | 0) + carry; - var right = (num.words[i] | 0) * mul; - w -= right & 0x3ffffff; - carry = (w >> 26) - ((right / 0x4000000) | 0); - this.words[i + shift] = w & 0x3ffffff; - } - for (; i < this.length - shift; i++) { - w = (this.words[i + shift] | 0) + carry; - carry = w >> 26; - this.words[i + shift] = w & 0x3ffffff; - } - - if (carry === 0) return this.strip(); - - // Subtraction overflow - assert(carry === -1); - carry = 0; - for (i = 0; i < this.length; i++) { - w = -(this.words[i] | 0) + carry; - carry = w >> 26; - this.words[i] = w & 0x3ffffff; - } - this.negative = 1; - - return this.strip(); - }; - - BN.prototype._wordDiv = function _wordDiv (num, mode) { - var shift = this.length - num.length; - - var a = this.clone(); - var b = num; - - // Normalize - var bhi = b.words[b.length - 1] | 0; - var bhiBits = this._countBits(bhi); - shift = 26 - bhiBits; - if (shift !== 0) { - b = b.ushln(shift); - a.iushln(shift); - bhi = b.words[b.length - 1] | 0; - } - - // Initialize quotient - var m = a.length - b.length; - var q; - - if (mode !== 'mod') { - q = new BN(null); - q.length = m + 1; - q.words = new Array(q.length); - for (var i = 0; i < q.length; i++) { - q.words[i] = 0; - } - } - - var diff = a.clone()._ishlnsubmul(b, 1, m); - if (diff.negative === 0) { - a = diff; - if (q) { - q.words[m] = 1; - } - } - - for (var j = m - 1; j >= 0; j--) { - var qj = (a.words[b.length + j] | 0) * 0x4000000 + - (a.words[b.length + j - 1] | 0); - - // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max - // (0x7ffffff) - qj = Math.min((qj / bhi) | 0, 0x3ffffff); - - a._ishlnsubmul(b, qj, j); - while (a.negative !== 0) { - qj--; - a.negative = 0; - a._ishlnsubmul(b, 1, j); - if (!a.isZero()) { - a.negative ^= 1; - } - } - if (q) { - q.words[j] = qj; - } - } - if (q) { - q.strip(); - } - a.strip(); - - // Denormalize - if (mode !== 'div' && shift !== 0) { - a.iushrn(shift); - } - - return { - div: q || null, - mod: a - }; - }; - - // NOTE: 1) `mode` can be set to `mod` to request mod only, - // to `div` to request div only, or be absent to - // request both div & mod - // 2) `positive` is true if unsigned mod is requested - BN.prototype.divmod = function divmod (num, mode, positive) { - assert(!num.isZero()); - - if (this.isZero()) { - return { - div: new BN(0), - mod: new BN(0) - }; - } - - var div, mod, res; - if (this.negative !== 0 && num.negative === 0) { - res = this.neg().divmod(num, mode); - - if (mode !== 'mod') { - div = res.div.neg(); - } - - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.iadd(num); - } - } - - return { - div: div, - mod: mod - }; - } - - if (this.negative === 0 && num.negative !== 0) { - res = this.divmod(num.neg(), mode); - - if (mode !== 'mod') { - div = res.div.neg(); - } - - return { - div: div, - mod: res.mod - }; - } - - if ((this.negative & num.negative) !== 0) { - res = this.neg().divmod(num.neg(), mode); - - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.isub(num); - } - } - - return { - div: res.div, - mod: mod - }; - } - - // Both numbers are positive at this point - - // Strip both numbers to approximate shift value - if (num.length > this.length || this.cmp(num) < 0) { - return { - div: new BN(0), - mod: this - }; - } - - // Very short reduction - if (num.length === 1) { - if (mode === 'div') { - return { - div: this.divn(num.words[0]), - mod: null - }; - } - - if (mode === 'mod') { - return { - div: null, - mod: new BN(this.modn(num.words[0])) - }; - } - - return { - div: this.divn(num.words[0]), - mod: new BN(this.modn(num.words[0])) - }; - } - - return this._wordDiv(num, mode); - }; - - // Find `this` / `num` - BN.prototype.div = function div (num) { - return this.divmod(num, 'div', false).div; - }; - - // Find `this` % `num` - BN.prototype.mod = function mod (num) { - return this.divmod(num, 'mod', false).mod; - }; - - BN.prototype.umod = function umod (num) { - return this.divmod(num, 'mod', true).mod; - }; - - // Find Round(`this` / `num`) - BN.prototype.divRound = function divRound (num) { - var dm = this.divmod(num); - - // Fast case - exact division - if (dm.mod.isZero()) return dm.div; - - var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; - - var half = num.ushrn(1); - var r2 = num.andln(1); - var cmp = mod.cmp(half); - - // Round down - if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div; - - // Round up - return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); - }; - - BN.prototype.modn = function modn (num) { - assert(num <= 0x3ffffff); - var p = (1 << 26) % num; - - var acc = 0; - for (var i = this.length - 1; i >= 0; i--) { - acc = (p * acc + (this.words[i] | 0)) % num; - } - - return acc; - }; - - // In-place division by number - BN.prototype.idivn = function idivn (num) { - assert(num <= 0x3ffffff); - - var carry = 0; - for (var i = this.length - 1; i >= 0; i--) { - var w = (this.words[i] | 0) + carry * 0x4000000; - this.words[i] = (w / num) | 0; - carry = w % num; - } - - return this.strip(); - }; - - BN.prototype.divn = function divn (num) { - return this.clone().idivn(num); - }; - - BN.prototype.egcd = function egcd (p) { - assert(p.negative === 0); - assert(!p.isZero()); - - var x = this; - var y = p.clone(); - - if (x.negative !== 0) { - x = x.umod(p); - } else { - x = x.clone(); - } - - // A * x + B * y = x - var A = new BN(1); - var B = new BN(0); - - // C * x + D * y = y - var C = new BN(0); - var D = new BN(1); - - var g = 0; - - while (x.isEven() && y.isEven()) { - x.iushrn(1); - y.iushrn(1); - ++g; - } - - var yp = y.clone(); - var xp = x.clone(); - - while (!x.isZero()) { - for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1); - if (i > 0) { - x.iushrn(i); - while (i-- > 0) { - if (A.isOdd() || B.isOdd()) { - A.iadd(yp); - B.isub(xp); - } - - A.iushrn(1); - B.iushrn(1); - } - } - - for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); - if (j > 0) { - y.iushrn(j); - while (j-- > 0) { - if (C.isOdd() || D.isOdd()) { - C.iadd(yp); - D.isub(xp); - } - - C.iushrn(1); - D.iushrn(1); - } - } - - if (x.cmp(y) >= 0) { - x.isub(y); - A.isub(C); - B.isub(D); - } else { - y.isub(x); - C.isub(A); - D.isub(B); - } - } - - return { - a: C, - b: D, - gcd: y.iushln(g) - }; - }; - - // This is reduced incarnation of the binary EEA - // above, designated to invert members of the - // _prime_ fields F(p) at a maximal speed - BN.prototype._invmp = function _invmp (p) { - assert(p.negative === 0); - assert(!p.isZero()); - - var a = this; - var b = p.clone(); - - if (a.negative !== 0) { - a = a.umod(p); - } else { - a = a.clone(); - } - - var x1 = new BN(1); - var x2 = new BN(0); - - var delta = b.clone(); - - while (a.cmpn(1) > 0 && b.cmpn(1) > 0) { - for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1); - if (i > 0) { - a.iushrn(i); - while (i-- > 0) { - if (x1.isOdd()) { - x1.iadd(delta); - } - - x1.iushrn(1); - } - } - - for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1); - if (j > 0) { - b.iushrn(j); - while (j-- > 0) { - if (x2.isOdd()) { - x2.iadd(delta); - } - - x2.iushrn(1); - } - } - - if (a.cmp(b) >= 0) { - a.isub(b); - x1.isub(x2); - } else { - b.isub(a); - x2.isub(x1); - } - } - - var res; - if (a.cmpn(1) === 0) { - res = x1; - } else { - res = x2; - } - - if (res.cmpn(0) < 0) { - res.iadd(p); - } - - return res; - }; - - BN.prototype.gcd = function gcd (num) { - if (this.isZero()) return num.abs(); - if (num.isZero()) return this.abs(); - - var a = this.clone(); - var b = num.clone(); - a.negative = 0; - b.negative = 0; - - // Remove common factor of two - for (var shift = 0; a.isEven() && b.isEven(); shift++) { - a.iushrn(1); - b.iushrn(1); - } - - do { - while (a.isEven()) { - a.iushrn(1); - } - while (b.isEven()) { - b.iushrn(1); - } - - var r = a.cmp(b); - if (r < 0) { - // Swap `a` and `b` to make `a` always bigger than `b` - var t = a; - a = b; - b = t; - } else if (r === 0 || b.cmpn(1) === 0) { - break; - } - - a.isub(b); - } while (true); - - return b.iushln(shift); - }; - - // Invert number in the field F(num) - BN.prototype.invm = function invm (num) { - return this.egcd(num).a.umod(num); - }; - - BN.prototype.isEven = function isEven () { - return (this.words[0] & 1) === 0; - }; - - BN.prototype.isOdd = function isOdd () { - return (this.words[0] & 1) === 1; - }; - - // And first word and num - BN.prototype.andln = function andln (num) { - return this.words[0] & num; - }; - - // Increment at the bit position in-line - BN.prototype.bincn = function bincn (bit) { - assert(typeof bit === 'number'); - var r = bit % 26; - var s = (bit - r) / 26; - var q = 1 << r; - - // Fast case: bit is much higher than all existing words - if (this.length <= s) { - this._expand(s + 1); - this.words[s] |= q; - return this; - } - - // Add bit and propagate, if needed - var carry = q; - for (var i = s; carry !== 0 && i < this.length; i++) { - var w = this.words[i] | 0; - w += carry; - carry = w >>> 26; - w &= 0x3ffffff; - this.words[i] = w; - } - if (carry !== 0) { - this.words[i] = carry; - this.length++; - } - return this; - }; - - BN.prototype.isZero = function isZero () { - return this.length === 1 && this.words[0] === 0; - }; - - BN.prototype.cmpn = function cmpn (num) { - var negative = num < 0; - - if (this.negative !== 0 && !negative) return -1; - if (this.negative === 0 && negative) return 1; - - this.strip(); - - var res; - if (this.length > 1) { - res = 1; - } else { - if (negative) { - num = -num; - } - - assert(num <= 0x3ffffff, 'Number is too big'); - - var w = this.words[0] | 0; - res = w === num ? 0 : w < num ? -1 : 1; - } - if (this.negative !== 0) return -res | 0; - return res; - }; - - // Compare two numbers and return: - // 1 - if `this` > `num` - // 0 - if `this` == `num` - // -1 - if `this` < `num` - BN.prototype.cmp = function cmp (num) { - if (this.negative !== 0 && num.negative === 0) return -1; - if (this.negative === 0 && num.negative !== 0) return 1; - - var res = this.ucmp(num); - if (this.negative !== 0) return -res | 0; - return res; - }; - - // Unsigned comparison - BN.prototype.ucmp = function ucmp (num) { - // At this point both numbers have the same sign - if (this.length > num.length) return 1; - if (this.length < num.length) return -1; - - var res = 0; - for (var i = this.length - 1; i >= 0; i--) { - var a = this.words[i] | 0; - var b = num.words[i] | 0; - - if (a === b) continue; - if (a < b) { - res = -1; - } else if (a > b) { - res = 1; - } - break; - } - return res; - }; - - BN.prototype.gtn = function gtn (num) { - return this.cmpn(num) === 1; - }; - - BN.prototype.gt = function gt (num) { - return this.cmp(num) === 1; - }; - - BN.prototype.gten = function gten (num) { - return this.cmpn(num) >= 0; - }; - - BN.prototype.gte = function gte (num) { - return this.cmp(num) >= 0; - }; - - BN.prototype.ltn = function ltn (num) { - return this.cmpn(num) === -1; - }; - - BN.prototype.lt = function lt (num) { - return this.cmp(num) === -1; - }; - - BN.prototype.lten = function lten (num) { - return this.cmpn(num) <= 0; - }; - - BN.prototype.lte = function lte (num) { - return this.cmp(num) <= 0; - }; - - BN.prototype.eqn = function eqn (num) { - return this.cmpn(num) === 0; - }; - - BN.prototype.eq = function eq (num) { - return this.cmp(num) === 0; - }; - - // - // A reduce context, could be using montgomery or something better, depending - // on the `m` itself. - // - BN.red = function red (num) { - return new Red(num); - }; - - BN.prototype.toRed = function toRed (ctx) { - assert(!this.red, 'Already a number in reduction context'); - assert(this.negative === 0, 'red works only with positives'); - return ctx.convertTo(this)._forceRed(ctx); - }; - - BN.prototype.fromRed = function fromRed () { - assert(this.red, 'fromRed works only with numbers in reduction context'); - return this.red.convertFrom(this); - }; - - BN.prototype._forceRed = function _forceRed (ctx) { - this.red = ctx; - return this; - }; - - BN.prototype.forceRed = function forceRed (ctx) { - assert(!this.red, 'Already a number in reduction context'); - return this._forceRed(ctx); - }; - - BN.prototype.redAdd = function redAdd (num) { - assert(this.red, 'redAdd works only with red numbers'); - return this.red.add(this, num); - }; - - BN.prototype.redIAdd = function redIAdd (num) { - assert(this.red, 'redIAdd works only with red numbers'); - return this.red.iadd(this, num); - }; - - BN.prototype.redSub = function redSub (num) { - assert(this.red, 'redSub works only with red numbers'); - return this.red.sub(this, num); - }; - - BN.prototype.redISub = function redISub (num) { - assert(this.red, 'redISub works only with red numbers'); - return this.red.isub(this, num); - }; - - BN.prototype.redShl = function redShl (num) { - assert(this.red, 'redShl works only with red numbers'); - return this.red.shl(this, num); - }; - - BN.prototype.redMul = function redMul (num) { - assert(this.red, 'redMul works only with red numbers'); - this.red._verify2(this, num); - return this.red.mul(this, num); - }; - - BN.prototype.redIMul = function redIMul (num) { - assert(this.red, 'redMul works only with red numbers'); - this.red._verify2(this, num); - return this.red.imul(this, num); - }; - - BN.prototype.redSqr = function redSqr () { - assert(this.red, 'redSqr works only with red numbers'); - this.red._verify1(this); - return this.red.sqr(this); - }; - - BN.prototype.redISqr = function redISqr () { - assert(this.red, 'redISqr works only with red numbers'); - this.red._verify1(this); - return this.red.isqr(this); - }; - - // Square root over p - BN.prototype.redSqrt = function redSqrt () { - assert(this.red, 'redSqrt works only with red numbers'); - this.red._verify1(this); - return this.red.sqrt(this); - }; - - BN.prototype.redInvm = function redInvm () { - assert(this.red, 'redInvm works only with red numbers'); - this.red._verify1(this); - return this.red.invm(this); - }; - - // Return negative clone of `this` % `red modulo` - BN.prototype.redNeg = function redNeg () { - assert(this.red, 'redNeg works only with red numbers'); - this.red._verify1(this); - return this.red.neg(this); - }; - - BN.prototype.redPow = function redPow (num) { - assert(this.red && !num.red, 'redPow(normalNum)'); - this.red._verify1(this); - return this.red.pow(this, num); - }; - - // Prime numbers with efficient reduction - var primes = { - k256: null, - p224: null, - p192: null, - p25519: null - }; - - // Pseudo-Mersenne prime - function MPrime (name, p) { - // P = 2 ^ N - K - this.name = name; - this.p = new BN(p, 16); - this.n = this.p.bitLength(); - this.k = new BN(1).iushln(this.n).isub(this.p); - - this.tmp = this._tmp(); - } - - MPrime.prototype._tmp = function _tmp () { - var tmp = new BN(null); - tmp.words = new Array(Math.ceil(this.n / 13)); - return tmp; - }; - - MPrime.prototype.ireduce = function ireduce (num) { - // Assumes that `num` is less than `P^2` - // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P) - var r = num; - var rlen; - - do { - this.split(r, this.tmp); - r = this.imulK(r); - r = r.iadd(this.tmp); - rlen = r.bitLength(); - } while (rlen > this.n); - - var cmp = rlen < this.n ? -1 : r.ucmp(this.p); - if (cmp === 0) { - r.words[0] = 0; - r.length = 1; - } else if (cmp > 0) { - r.isub(this.p); - } else { - r.strip(); - } - - return r; - }; - - MPrime.prototype.split = function split (input, out) { - input.iushrn(this.n, 0, out); - }; - - MPrime.prototype.imulK = function imulK (num) { - return num.imul(this.k); - }; - - function K256 () { - MPrime.call( - this, - 'k256', - 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); - } - inherits(K256, MPrime); - - K256.prototype.split = function split (input, output) { - // 256 = 9 * 26 + 22 - var mask = 0x3fffff; - - var outLen = Math.min(input.length, 9); - for (var i = 0; i < outLen; i++) { - output.words[i] = input.words[i]; - } - output.length = outLen; - - if (input.length <= 9) { - input.words[0] = 0; - input.length = 1; - return; - } - - // Shift by 9 limbs - var prev = input.words[9]; - output.words[output.length++] = prev & mask; - - for (i = 10; i < input.length; i++) { - var next = input.words[i] | 0; - input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22); - prev = next; - } - prev >>>= 22; - input.words[i - 10] = prev; - if (prev === 0 && input.length > 10) { - input.length -= 10; - } else { - input.length -= 9; - } - }; - - K256.prototype.imulK = function imulK (num) { - // K = 0x1000003d1 = [ 0x40, 0x3d1 ] - num.words[num.length] = 0; - num.words[num.length + 1] = 0; - num.length += 2; - - // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390 - var lo = 0; - for (var i = 0; i < num.length; i++) { - var w = num.words[i] | 0; - lo += w * 0x3d1; - num.words[i] = lo & 0x3ffffff; - lo = w * 0x40 + ((lo / 0x4000000) | 0); - } - - // Fast length reduction - if (num.words[num.length - 1] === 0) { - num.length--; - if (num.words[num.length - 1] === 0) { - num.length--; - } - } - return num; - }; - - function P224 () { - MPrime.call( - this, - 'p224', - 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); - } - inherits(P224, MPrime); - - function P192 () { - MPrime.call( - this, - 'p192', - 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); - } - inherits(P192, MPrime); - - function P25519 () { - // 2 ^ 255 - 19 - MPrime.call( - this, - '25519', - '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed'); - } - inherits(P25519, MPrime); - - P25519.prototype.imulK = function imulK (num) { - // K = 0x13 - var carry = 0; - for (var i = 0; i < num.length; i++) { - var hi = (num.words[i] | 0) * 0x13 + carry; - var lo = hi & 0x3ffffff; - hi >>>= 26; - - num.words[i] = lo; - carry = hi; - } - if (carry !== 0) { - num.words[num.length++] = carry; - } - return num; - }; - - // Exported mostly for testing purposes, use plain name instead - BN._prime = function prime (name) { - // Cached version of prime - if (primes[name]) return primes[name]; - - var prime; - if (name === 'k256') { - prime = new K256(); - } else if (name === 'p224') { - prime = new P224(); - } else if (name === 'p192') { - prime = new P192(); - } else if (name === 'p25519') { - prime = new P25519(); - } else { - throw new Error('Unknown prime ' + name); - } - primes[name] = prime; - - return prime; - }; - - // - // Base reduction engine - // - function Red (m) { - if (typeof m === 'string') { - var prime = BN._prime(m); - this.m = prime.p; - this.prime = prime; - } else { - assert(m.gtn(1), 'modulus must be greater than 1'); - this.m = m; - this.prime = null; - } - } - - Red.prototype._verify1 = function _verify1 (a) { - assert(a.negative === 0, 'red works only with positives'); - assert(a.red, 'red works only with red numbers'); - }; - - Red.prototype._verify2 = function _verify2 (a, b) { - assert((a.negative | b.negative) === 0, 'red works only with positives'); - assert(a.red && a.red === b.red, - 'red works only with red numbers'); - }; - - Red.prototype.imod = function imod (a) { - if (this.prime) return this.prime.ireduce(a)._forceRed(this); - return a.umod(this.m)._forceRed(this); - }; - - Red.prototype.neg = function neg (a) { - if (a.isZero()) { - return a.clone(); - } - - return this.m.sub(a)._forceRed(this); - }; - - Red.prototype.add = function add (a, b) { - this._verify2(a, b); - - var res = a.add(b); - if (res.cmp(this.m) >= 0) { - res.isub(this.m); - } - return res._forceRed(this); - }; - - Red.prototype.iadd = function iadd (a, b) { - this._verify2(a, b); - - var res = a.iadd(b); - if (res.cmp(this.m) >= 0) { - res.isub(this.m); - } - return res; - }; - - Red.prototype.sub = function sub (a, b) { - this._verify2(a, b); - - var res = a.sub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); - } - return res._forceRed(this); - }; - - Red.prototype.isub = function isub (a, b) { - this._verify2(a, b); - - var res = a.isub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); - } - return res; - }; - - Red.prototype.shl = function shl (a, num) { - this._verify1(a); - return this.imod(a.ushln(num)); - }; - - Red.prototype.imul = function imul (a, b) { - this._verify2(a, b); - return this.imod(a.imul(b)); - }; - - Red.prototype.mul = function mul (a, b) { - this._verify2(a, b); - return this.imod(a.mul(b)); - }; - - Red.prototype.isqr = function isqr (a) { - return this.imul(a, a.clone()); - }; - - Red.prototype.sqr = function sqr (a) { - return this.mul(a, a); - }; - - Red.prototype.sqrt = function sqrt (a) { - if (a.isZero()) return a.clone(); - - var mod3 = this.m.andln(3); - assert(mod3 % 2 === 1); - - // Fast case - if (mod3 === 3) { - var pow = this.m.add(new BN(1)).iushrn(2); - return this.pow(a, pow); - } - - // Tonelli-Shanks algorithm (Totally unoptimized and slow) - // - // Find Q and S, that Q * 2 ^ S = (P - 1) - var q = this.m.subn(1); - var s = 0; - while (!q.isZero() && q.andln(1) === 0) { - s++; - q.iushrn(1); - } - assert(!q.isZero()); - - var one = new BN(1).toRed(this); - var nOne = one.redNeg(); - - // Find quadratic non-residue - // NOTE: Max is such because of generalized Riemann hypothesis. - var lpow = this.m.subn(1).iushrn(1); - var z = this.m.bitLength(); - z = new BN(2 * z * z).toRed(this); - - while (this.pow(z, lpow).cmp(nOne) !== 0) { - z.redIAdd(nOne); - } - - var c = this.pow(z, q); - var r = this.pow(a, q.addn(1).iushrn(1)); - var t = this.pow(a, q); - var m = s; - while (t.cmp(one) !== 0) { - var tmp = t; - for (var i = 0; tmp.cmp(one) !== 0; i++) { - tmp = tmp.redSqr(); - } - assert(i < m); - var b = this.pow(c, new BN(1).iushln(m - i - 1)); - - r = r.redMul(b); - c = b.redSqr(); - t = t.redMul(c); - m = i; - } - - return r; - }; - - Red.prototype.invm = function invm (a) { - var inv = a._invmp(this.m); - if (inv.negative !== 0) { - inv.negative = 0; - return this.imod(inv).redNeg(); - } else { - return this.imod(inv); - } - }; - - Red.prototype.pow = function pow (a, num) { - if (num.isZero()) return new BN(1).toRed(this); - if (num.cmpn(1) === 0) return a.clone(); - - var windowSize = 4; - var wnd = new Array(1 << windowSize); - wnd[0] = new BN(1).toRed(this); - wnd[1] = a; - for (var i = 2; i < wnd.length; i++) { - wnd[i] = this.mul(wnd[i - 1], a); - } - - var res = wnd[0]; - var current = 0; - var currentLen = 0; - var start = num.bitLength() % 26; - if (start === 0) { - start = 26; - } - - for (i = num.length - 1; i >= 0; i--) { - var word = num.words[i]; - for (var j = start - 1; j >= 0; j--) { - var bit = (word >> j) & 1; - if (res !== wnd[0]) { - res = this.sqr(res); - } - - if (bit === 0 && current === 0) { - currentLen = 0; - continue; - } - - current <<= 1; - current |= bit; - currentLen++; - if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; - - res = this.mul(res, wnd[current]); - currentLen = 0; - current = 0; - } - start = 26; - } - - return res; - }; - - Red.prototype.convertTo = function convertTo (num) { - var r = num.umod(this.m); - - return r === num ? r.clone() : r; - }; - - Red.prototype.convertFrom = function convertFrom (num) { - var res = num.clone(); - res.red = null; - return res; - }; - - // - // Montgomery method engine - // - - BN.mont = function mont (num) { - return new Mont(num); - }; - - function Mont (m) { - Red.call(this, m); - - this.shift = this.m.bitLength(); - if (this.shift % 26 !== 0) { - this.shift += 26 - (this.shift % 26); - } - - this.r = new BN(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); - } - inherits(Mont, Red); - - Mont.prototype.convertTo = function convertTo (num) { - return this.imod(num.ushln(this.shift)); - }; - - Mont.prototype.convertFrom = function convertFrom (num) { - var r = this.imod(num.mul(this.rinv)); - r.red = null; - return r; - }; - - Mont.prototype.imul = function imul (a, b) { - if (a.isZero() || b.isZero()) { - a.words[0] = 0; - a.length = 1; - return a; - } - - var t = a.imul(b); - var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); - var u = t.isub(c).iushrn(this.shift); - var res = u; - - if (u.cmp(this.m) >= 0) { - res = u.isub(this.m); - } else if (u.cmpn(0) < 0) { - res = u.iadd(this.m); - } - - return res._forceRed(this); - }; - - Mont.prototype.mul = function mul (a, b) { - if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); - - var t = a.mul(b); - var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m); - var u = t.isub(c).iushrn(this.shift); - var res = u; - if (u.cmp(this.m) >= 0) { - res = u.isub(this.m); - } else if (u.cmpn(0) < 0) { - res = u.iadd(this.m); - } - - return res._forceRed(this); - }; - - Mont.prototype.invm = function invm (a) { - // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R - var res = this.imod(a._invmp(this.m).mul(this.r2)); - return res._forceRed(this); - }; -})( false || module, this); - -/* WEBPACK VAR INJECTION */}.call(this, __webpack_require__(14)(module))) - -/***/ }), -/* 3 */ -/***/ (function(module, exports) { - -module.exports = assert; - -function assert(val, msg) { - if (!val) - throw new Error(msg || 'Assertion failed'); -} - -assert.equal = function assertEqual(l, r, msg) { - if (l != r) - throw new Error(msg || ('Assertion failed: ' + l + ' != ' + r)); -}; - - -/***/ }), -/* 4 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var assert = __webpack_require__(3); - -function BlockHash() { - this.pending = null; - this.pendingTotal = 0; - this.blockSize = this.constructor.blockSize; - this.outSize = this.constructor.outSize; - this.hmacStrength = this.constructor.hmacStrength; - this.padLength = this.constructor.padLength / 8; - this.endian = 'big'; - - this._delta8 = this.blockSize / 8; - this._delta32 = this.blockSize / 32; -} -exports.BlockHash = BlockHash; - -BlockHash.prototype.update = function update(msg, enc) { - // Convert message to array, pad it, and join into 32bit blocks - msg = utils.toArray(msg, enc); - if (!this.pending) - this.pending = msg; - else - this.pending = this.pending.concat(msg); - this.pendingTotal += msg.length; - - // Enough data, try updating - if (this.pending.length >= this._delta8) { - msg = this.pending; - - // Process pending data in blocks - var r = msg.length % this._delta8; - this.pending = msg.slice(msg.length - r, msg.length); - if (this.pending.length === 0) - this.pending = null; - - msg = utils.join32(msg, 0, msg.length - r, this.endian); - for (var i = 0; i < msg.length; i += this._delta32) - this._update(msg, i, i + this._delta32); - } - - return this; -}; - -BlockHash.prototype.digest = function digest(enc) { - this.update(this._pad()); - assert(this.pending === null); - - return this._digest(enc); -}; - -BlockHash.prototype._pad = function pad() { - var len = this.pendingTotal; - var bytes = this._delta8; - var k = bytes - ((len + this.padLength) % bytes); - var res = new Array(k + this.padLength); - res[0] = 0x80; - for (var i = 1; i < k; i++) - res[i] = 0; - - // Append length - len <<= 3; - if (this.endian === 'big') { - for (var t = 8; t < this.padLength; t++) - res[i++] = 0; - - res[i++] = 0; - res[i++] = 0; - res[i++] = 0; - res[i++] = 0; - res[i++] = (len >>> 24) & 0xff; - res[i++] = (len >>> 16) & 0xff; - res[i++] = (len >>> 8) & 0xff; - res[i++] = len & 0xff; - } else { - res[i++] = len & 0xff; - res[i++] = (len >>> 8) & 0xff; - res[i++] = (len >>> 16) & 0xff; - res[i++] = (len >>> 24) & 0xff; - res[i++] = 0; - res[i++] = 0; - res[i++] = 0; - res[i++] = 0; - - for (t = 8; t < this.padLength; t++) - res[i++] = 0; - } - - return res; -}; - - -/***/ }), -/* 5 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var curve = exports; - -curve.base = __webpack_require__(18); -curve.short = __webpack_require__(19); -curve.mont = __webpack_require__(20); -curve.edwards = __webpack_require__(21); - - -/***/ }), -/* 6 */ -/***/ (function(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 - } - }); - }; -} 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 - } -} - - -/***/ }), -/* 7 */ -/***/ (function(module, exports, __webpack_require__) { - -var hash = exports; - -hash.utils = __webpack_require__(1); -hash.common = __webpack_require__(4); -hash.sha = __webpack_require__(23); -hash.ripemd = __webpack_require__(27); -hash.hmac = __webpack_require__(28); - -// Proxy hash functions to the main object -hash.sha1 = hash.sha.sha1; -hash.sha256 = hash.sha.sha256; -hash.sha224 = hash.sha.sha224; -hash.sha384 = hash.sha.sha384; -hash.sha512 = hash.sha.sha512; -hash.ripemd160 = hash.ripemd.ripemd160; - - -/***/ }), -/* 8 */ -/***/ (function(module, exports, __webpack_require__) { - -"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; -}; - - -/***/ }), -/* 9 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -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; - - -/***/ }), -/* 10 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var common = __webpack_require__(4); -var shaCommon = __webpack_require__(9); -var assert = __webpack_require__(3); - -var sum32 = utils.sum32; -var sum32_4 = utils.sum32_4; -var sum32_5 = utils.sum32_5; -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, - 0x3956c25b, 0x59f111f1, 0x923f82a4, 0xab1c5ed5, - 0xd807aa98, 0x12835b01, 0x243185be, 0x550c7dc3, - 0x72be5d74, 0x80deb1fe, 0x9bdc06a7, 0xc19bf174, - 0xe49b69c1, 0xefbe4786, 0x0fc19dc6, 0x240ca1cc, - 0x2de92c6f, 0x4a7484aa, 0x5cb0a9dc, 0x76f988da, - 0x983e5152, 0xa831c66d, 0xb00327c8, 0xbf597fc7, - 0xc6e00bf3, 0xd5a79147, 0x06ca6351, 0x14292967, - 0x27b70a85, 0x2e1b2138, 0x4d2c6dfc, 0x53380d13, - 0x650a7354, 0x766a0abb, 0x81c2c92e, 0x92722c85, - 0xa2bfe8a1, 0xa81a664b, 0xc24b8b70, 0xc76c51a3, - 0xd192e819, 0xd6990624, 0xf40e3585, 0x106aa070, - 0x19a4c116, 0x1e376c08, 0x2748774c, 0x34b0bcb5, - 0x391c0cb3, 0x4ed8aa4a, 0x5b9cca4f, 0x682e6ff3, - 0x748f82ee, 0x78a5636f, 0x84c87814, 0x8cc70208, - 0x90befffa, 0xa4506ceb, 0xbef9a3f7, 0xc67178f2 -]; - -function SHA256() { - if (!(this instanceof SHA256)) - return new SHA256(); - - BlockHash.call(this); - this.h = [ - 0x6a09e667, 0xbb67ae85, 0x3c6ef372, 0xa54ff53a, - 0x510e527f, 0x9b05688c, 0x1f83d9ab, 0x5be0cd19 - ]; - this.k = sha256_K; - this.W = new Array(64); -} -utils.inherits(SHA256, BlockHash); -module.exports = SHA256; - -SHA256.blockSize = 512; -SHA256.outSize = 256; -SHA256.hmacStrength = 192; -SHA256.padLength = 64; - -SHA256.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] = sum32_4(g1_256(W[i - 2]), W[i - 7], g0_256(W[i - 15]), W[i - 16]); - - 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]; - var f = this.h[5]; - var g = this.h[6]; - var h = this.h[7]; - - assert(this.k.length === W.length); - 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; - g = f; - f = e; - e = sum32(d, T1); - d = c; - c = b; - b = a; - a = sum32(T1, T2); - } - - 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); - this.h[5] = sum32(this.h[5], f); - this.h[6] = sum32(this.h[6], g); - this.h[7] = sum32(this.h[7], h); -}; - -SHA256.prototype._digest = function digest(enc) { - if (enc === 'hex') - return utils.toHex32(this.h, 'big'); - else - return utils.split32(this.h, 'big'); -}; - - -/***/ }), -/* 11 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var common = __webpack_require__(4); -var assert = __webpack_require__(3); - -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) { - var c0_hi = g1_512_hi(W[i - 4], W[i - 3]); // i - 2 - var c0_lo = g1_512_lo(W[i - 4], W[i - 3]); - var c1_hi = W[i - 14]; // i - 7 - var c1_lo = W[i - 13]; - var c2_hi = g0_512_hi(W[i - 30], W[i - 29]); // i - 15 - var c2_lo = g0_512_lo(W[i - 30], W[i - 29]); - 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); - } -}; - -SHA512.prototype._update = function _update(msg, start) { - this._prepareBlock(msg, start); - - var W = this.W; - - var ah = this.h[0]; - var al = this.h[1]; - var bh = this.h[2]; - var bl = this.h[3]; - var ch = this.h[4]; - var cl = this.h[5]; - var dh = this.h[6]; - var dl = this.h[7]; - var eh = this.h[8]; - var el = this.h[9]; - var fh = this.h[10]; - var fl = this.h[11]; - var gh = this.h[12]; - var gl = this.h[13]; - var hh = this.h[14]; - var hl = this.h[15]; - - assert(this.k.length === W.length); - for (var i = 0; i < W.length; i += 2) { - var c0_hi = hh; - var c0_lo = hl; - var c1_hi = s1_512_hi(eh, el); - var c1_lo = s1_512_lo(eh, el); - var c2_hi = ch64_hi(eh, el, fh, fl, gh, gl); - var c2_lo = ch64_lo(eh, el, fh, fl, gh, gl); - var c3_hi = this.k[i]; - var c3_lo = this.k[i + 1]; - 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); - - 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); - - hh = gh; - hl = gl; - - gh = fh; - gl = fl; - - fh = eh; - fl = el; - - eh = sum64_hi(dh, dl, T1_hi, T1_lo); - el = sum64_lo(dl, dl, T1_hi, T1_lo); - - dh = ch; - dl = cl; - - ch = bh; - cl = bl; - - bh = ah; - bl = al; - - ah = sum64_hi(T1_hi, T1_lo, T2_hi, T2_lo); - al = sum64_lo(T1_hi, T1_lo, T2_hi, T2_lo); - } - - sum64(this.h, 0, ah, al); - sum64(this.h, 2, bh, bl); - sum64(this.h, 4, ch, cl); - sum64(this.h, 6, dh, dl); - sum64(this.h, 8, eh, el); - sum64(this.h, 10, fh, fl); - sum64(this.h, 12, gh, gl); - sum64(this.h, 14, hh, hl); -}; - -SHA512.prototype._digest = function digest(enc) { - if (enc === 'hex') - return utils.toHex32(this.h, 'big'); - else - return utils.split32(this.h, 'big'); -}; - -function ch64_hi(xh, xl, yh, yl, zh) { - var r = (xh & yh) ^ ((~xh) & zh); - if (r < 0) - r += 0x100000000; - return r; -} - -function ch64_lo(xh, xl, yh, yl, zh, zl) { - var r = (xl & yl) ^ ((~xl) & zl); - if (r < 0) - r += 0x100000000; - return r; -} - -function maj64_hi(xh, xl, yh, yl, zh) { - var r = (xh & yh) ^ (xh & zh) ^ (yh & zh); - if (r < 0) - r += 0x100000000; - return r; -} - -function maj64_lo(xh, xl, yh, yl, zh, zl) { - var r = (xl & yl) ^ (xl & zl) ^ (yl & zl); - if (r < 0) - r += 0x100000000; - return r; -} - -function s0_512_hi(xh, xl) { - var c0_hi = rotr64_hi(xh, xl, 28); - var c1_hi = rotr64_hi(xl, xh, 2); // 34 - var c2_hi = rotr64_hi(xl, xh, 7); // 39 - - var r = c0_hi ^ c1_hi ^ c2_hi; - if (r < 0) - r += 0x100000000; - return r; -} - -function s0_512_lo(xh, xl) { - var c0_lo = rotr64_lo(xh, xl, 28); - var c1_lo = rotr64_lo(xl, xh, 2); // 34 - var c2_lo = rotr64_lo(xl, xh, 7); // 39 - - var r = c0_lo ^ c1_lo ^ c2_lo; - if (r < 0) - r += 0x100000000; - return r; -} - -function s1_512_hi(xh, xl) { - var c0_hi = rotr64_hi(xh, xl, 14); - var c1_hi = rotr64_hi(xh, xl, 18); - var c2_hi = rotr64_hi(xl, xh, 9); // 41 - - var r = c0_hi ^ c1_hi ^ c2_hi; - if (r < 0) - r += 0x100000000; - return r; -} - -function s1_512_lo(xh, xl) { - var c0_lo = rotr64_lo(xh, xl, 14); - var c1_lo = rotr64_lo(xh, xl, 18); - var c2_lo = rotr64_lo(xl, xh, 9); // 41 - - var r = c0_lo ^ c1_lo ^ c2_lo; - if (r < 0) - r += 0x100000000; - return r; -} - -function g0_512_hi(xh, xl) { - var c0_hi = rotr64_hi(xh, xl, 1); - var c1_hi = rotr64_hi(xh, xl, 8); - var c2_hi = shr64_hi(xh, xl, 7); - - var r = c0_hi ^ c1_hi ^ c2_hi; - if (r < 0) - r += 0x100000000; - return r; -} - -function g0_512_lo(xh, xl) { - var c0_lo = rotr64_lo(xh, xl, 1); - var c1_lo = rotr64_lo(xh, xl, 8); - var c2_lo = shr64_lo(xh, xl, 7); - - var r = c0_lo ^ c1_lo ^ c2_lo; - if (r < 0) - r += 0x100000000; - return r; -} - -function g1_512_hi(xh, xl) { - var c0_hi = rotr64_hi(xh, xl, 19); - var c1_hi = rotr64_hi(xl, xh, 29); // 61 - var c2_hi = shr64_hi(xh, xl, 6); - - var r = c0_hi ^ c1_hi ^ c2_hi; - if (r < 0) - r += 0x100000000; - return r; -} - -function g1_512_lo(xh, xl) { - var c0_lo = rotr64_lo(xh, xl, 19); - var c1_lo = rotr64_lo(xl, xh, 29); // 61 - var c2_lo = shr64_lo(xh, xl, 6); - - var r = c0_lo ^ c1_lo ^ c2_lo; - if (r < 0) - r += 0x100000000; - return r; -} - - -/***/ }), -/* 12 */ -/***/ (function(module) { - -module.exports = {"name":"elliptic","version":"6.4.1","description":"EC cryptography","main":"lib/elliptic.js","files":["lib"],"scripts":{"jscs":"jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js","jshint":"jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js","lint":"npm run jscs && npm run jshint","unit":"istanbul test _mocha --reporter=spec test/index.js","test":"npm run lint && npm run unit","version":"grunt dist && git add dist/"},"repository":{"type":"git","url":"git@github.com:indutny/elliptic"},"keywords":["EC","Elliptic","curve","Cryptography"],"author":"Fedor Indutny ","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"}}; - -/***/ }), -/* 13 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = exports; -var BN = __webpack_require__(2); -var minAssert = __webpack_require__(3); -var minUtils = __webpack_require__(8); - -utils.assert = minAssert; -utils.toArray = minUtils.toArray; -utils.zero2 = minUtils.zero2; -utils.toHex = minUtils.toHex; -utils.encode = minUtils.encode; - -// Represent num in a w-NAF form -function getNAF(num, w) { - var naf = []; - var ws = 1 << (w + 1); - var k = num.clone(); - while (k.cmpn(1) >= 0) { - var z; - if (k.isOdd()) { - var mod = k.andln(ws - 1); - if (mod > (ws >> 1) - 1) - z = (ws >> 1) - mod; - else - z = mod; - k.isubn(z); - } 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); - } - - return naf; -} -utils.getNAF = getNAF; - -// Represent k1, k2 in a Joint Sparse Form -function getJSF(k1, k2) { - var jsf = [ - [], - [] - ]; - - k1 = k1.clone(); - k2 = k2.clone(); - var d1 = 0; - var d2 = 0; - while (k1.cmpn(-d1) > 0 || k2.cmpn(-d2) > 0) { - - // First phase - var m14 = (k1.andln(3) + d1) & 3; - var m24 = (k2.andln(3) + d2) & 3; - if (m14 === 3) - m14 = -1; - if (m24 === 3) - m24 = -1; - var u1; - if ((m14 & 1) === 0) { - u1 = 0; - } else { - var m8 = (k1.andln(7) + d1) & 7; - if ((m8 === 3 || m8 === 5) && m24 === 2) - u1 = -m14; - else - u1 = m14; - } - jsf[0].push(u1); - - var u2; - if ((m24 & 1) === 0) { - u2 = 0; - } else { - var m8 = (k2.andln(7) + d2) & 7; - if ((m8 === 3 || m8 === 5) && m14 === 2) - u2 = -m24; - else - u2 = m24; - } - jsf[1].push(u2); - - // Second phase - if (2 * d1 === u1 + 1) - d1 = 1 - d1; - if (2 * d2 === u2 + 1) - d2 = 1 - d2; - k1.iushrn(1); - k2.iushrn(1); - } - - return jsf; -} -utils.getJSF = getJSF; - -function cachedProperty(obj, name, computer) { - var key = '_' + name; - obj.prototype[name] = function cachedProperty() { - return this[key] !== undefined ? this[key] : - this[key] = computer.call(this); - }; -} -utils.cachedProperty = cachedProperty; - -function parseBytes(bytes) { - return typeof bytes === 'string' ? utils.toArray(bytes, 'hex') : - bytes; -} -utils.parseBytes = parseBytes; - -function intFromLE(bytes) { - return new BN(bytes, 'hex', 'le'); -} -utils.intFromLE = intFromLE; - - - -/***/ }), -/* 14 */ -/***/ (function(module, exports) { - -module.exports = function(module) { - if (!module.webpackPolyfill) { - module.deprecate = function() {}; - module.paths = []; - // module.parent = undefined by default - if (!module.children) module.children = []; - Object.defineProperty(module, "loaded", { - enumerable: true, - get: function() { - return module.l; - } - }); - Object.defineProperty(module, "id", { - enumerable: true, - get: function() { - return module.i; - } - }); - module.webpackPolyfill = 1; - } - return module; -}; - - -/***/ }), -/* 15 */ -/***/ (function(module, exports) { - -/* (ignored) */ - -/***/ }), -/* 16 */ -/***/ (function(module, exports, __webpack_require__) { - -var r; - -module.exports = function rand(len) { - if (!r) - r = new Rand(null); - - return r.generate(len); -}; - -function Rand(rand) { - this.rand = rand; -} -module.exports.Rand = Rand; - -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 - Rand.prototype._rand = function _rand(n) { - var arr = new Uint8Array(n); - self.crypto.getRandomValues(arr); - return arr; - }; - } else if (self.msCrypto && self.msCrypto.getRandomValues) { - // IE - Rand.prototype._rand = function _rand(n) { - var arr = new Uint8Array(n); - self.msCrypto.getRandomValues(arr); - return arr; - }; - - // Safari's WebWorkers do not have `crypto` - } else if (typeof window === 'object') { - // Old junk - Rand.prototype._rand = function() { - throw new Error('Not implemented yet'); - }; - } -} else { - // Node.js or Web worker with no crypto support - try { - var crypto = __webpack_require__(17); - if (typeof crypto.randomBytes !== 'function') - throw new Error('Not supported'); - - Rand.prototype._rand = function _rand(n) { - return crypto.randomBytes(n); - }; - } catch (e) { - } -} - - -/***/ }), -/* 17 */ -/***/ (function(module, exports) { - -/* (ignored) */ - -/***/ }), -/* 18 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var BN = __webpack_require__(2); -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var getNAF = utils.getNAF; -var getJSF = utils.getJSF; -var assert = utils.assert; - -function BaseCurve(type, conf) { - this.type = type; - this.p = new BN(conf.p, 16); - - // Use Montgomery, when there is no fast reduction for the prime - this.red = conf.prime ? BN.red(conf.prime) : BN.mont(this.p); - - // Useful for many curves - this.zero = new BN(0).toRed(this.red); - this.one = new BN(1).toRed(this.red); - this.two = new BN(2).toRed(this.red); - - // Curve configuration, optional - this.n = conf.n && new BN(conf.n, 16); - this.g = conf.g && this.pointFromJSON(conf.g, conf.gRed); - - // Temporary arrays - this._wnafT1 = new Array(4); - this._wnafT2 = new Array(4); - this._wnafT3 = new Array(4); - this._wnafT4 = new Array(4); - - // Generalized Greg Maxwell's trick - var adjustCount = this.n && this.p.div(this.n); - if (!adjustCount || adjustCount.cmpn(100) > 0) { - this.redN = null; - } else { - this._maxwellTrick = true; - this.redN = this.n.toRed(this.red); - } -} -module.exports = BaseCurve; - -BaseCurve.prototype.point = function point() { - throw new Error('Not implemented'); -}; - -BaseCurve.prototype.validate = function validate() { - throw new Error('Not implemented'); -}; - -BaseCurve.prototype._fixedNafMul = function _fixedNafMul(p, k) { - assert(p.precomputed); - var doubles = p._getDoubles(); - - var naf = getNAF(k, 1); - var I = (1 << (doubles.step + 1)) - (doubles.step % 2 === 0 ? 2 : 1); - I /= 3; - - // Translate into more windowed form - var repr = []; - for (var j = 0; j < naf.length; j += doubles.step) { - var nafW = 0; - for (var k = j + doubles.step - 1; k >= j; k--) - nafW = (nafW << 1) + naf[k]; - repr.push(nafW); - } - - var a = this.jpoint(null, null, null); - var b = this.jpoint(null, null, null); - for (var i = I; i > 0; i--) { - for (var j = 0; j < repr.length; j++) { - var nafW = repr[j]; - if (nafW === i) - b = b.mixedAdd(doubles.points[j]); - else if (nafW === -i) - b = b.mixedAdd(doubles.points[j].neg()); - } - a = a.add(b); - } - return a.toP(); -}; - -BaseCurve.prototype._wnafMul = function _wnafMul(p, k) { - var w = 4; - - // Precompute window - var nafPoints = p._getNAFPoints(w); - w = nafPoints.wnd; - var wnd = nafPoints.points; - - // Get NAF form - var naf = getNAF(k, w); - - // Add `this`*(N+1) for every w-NAF index - var acc = this.jpoint(null, null, null); - for (var i = naf.length - 1; i >= 0; i--) { - // Count zeroes - for (var k = 0; i >= 0 && naf[i] === 0; i--) - k++; - if (i >= 0) - k++; - acc = acc.dblp(k); - - if (i < 0) - break; - var z = naf[i]; - assert(z !== 0); - if (p.type === 'affine') { - // J +- P - if (z > 0) - acc = acc.mixedAdd(wnd[(z - 1) >> 1]); - else - acc = acc.mixedAdd(wnd[(-z - 1) >> 1].neg()); - } else { - // J +- J - if (z > 0) - acc = acc.add(wnd[(z - 1) >> 1]); - else - acc = acc.add(wnd[(-z - 1) >> 1].neg()); - } - } - return p.type === 'affine' ? acc.toP() : acc; -}; - -BaseCurve.prototype._wnafMulAdd = function _wnafMulAdd(defW, - points, - coeffs, - len, - jacobianResult) { - var wndWidth = this._wnafT1; - var wnd = this._wnafT2; - var naf = this._wnafT3; - - // Fill all arrays - var max = 0; - for (var i = 0; i < len; i++) { - var p = points[i]; - var nafPoints = p._getNAFPoints(defW); - wndWidth[i] = nafPoints.wnd; - wnd[i] = nafPoints.points; - } - - // Comb small window NAFs - for (var i = len - 1; i >= 1; i -= 2) { - 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]); - max = Math.max(naf[a].length, max); - max = Math.max(naf[b].length, max); - continue; - } - - var comb = [ - points[a], /* 1 */ - null, /* 3 */ - null, /* 5 */ - points[b] /* 7 */ - ]; - - // Try to avoid Projective points, if possible - if (points[a].y.cmp(points[b].y) === 0) { - comb[1] = points[a].add(points[b]); - comb[2] = points[a].toJ().mixedAdd(points[b].neg()); - } else if (points[a].y.cmp(points[b].y.redNeg()) === 0) { - comb[1] = points[a].toJ().mixedAdd(points[b]); - comb[2] = points[a].add(points[b].neg()); - } else { - comb[1] = points[a].toJ().mixedAdd(points[b]); - comb[2] = points[a].toJ().mixedAdd(points[b].neg()); - } - - var index = [ - -3, /* -1 -1 */ - -1, /* -1 0 */ - -5, /* -1 1 */ - -7, /* 0 -1 */ - 0, /* 0 0 */ - 7, /* 0 1 */ - 5, /* 1 -1 */ - 1, /* 1 0 */ - 3 /* 1 1 */ - ]; - - var jsf = getJSF(coeffs[a], coeffs[b]); - max = Math.max(jsf[0].length, max); - naf[a] = new Array(max); - naf[b] = new Array(max); - for (var j = 0; j < max; j++) { - var ja = jsf[0][j] | 0; - var jb = jsf[1][j] | 0; - - naf[a][j] = index[(ja + 1) * 3 + (jb + 1)]; - naf[b][j] = 0; - wnd[a] = comb; - } - } - - var acc = this.jpoint(null, null, null); - var tmp = this._wnafT4; - for (var i = max; i >= 0; i--) { - var k = 0; - - while (i >= 0) { - var zero = true; - for (var j = 0; j < len; j++) { - tmp[j] = naf[j][i] | 0; - if (tmp[j] !== 0) - zero = false; - } - if (!zero) - break; - k++; - i--; - } - if (i >= 0) - k++; - acc = acc.dblp(k); - if (i < 0) - break; - - for (var j = 0; j < len; j++) { - var z = tmp[j]; - var p; - if (z === 0) - continue; - else if (z > 0) - p = wnd[j][(z - 1) >> 1]; - else if (z < 0) - p = wnd[j][(-z - 1) >> 1].neg(); - - if (p.type === 'affine') - acc = acc.mixedAdd(p); - else - acc = acc.add(p); - } - } - // Zeroify references - for (var i = 0; i < len; i++) - wnd[i] = null; - - if (jacobianResult) - return acc; - else - return acc.toP(); -}; - -function BasePoint(curve, type) { - this.curve = curve; - this.type = type; - this.precomputed = null; -} -BaseCurve.BasePoint = BasePoint; - -BasePoint.prototype.eq = function eq(/*other*/) { - throw new Error('Not implemented'); -}; - -BasePoint.prototype.validate = function validate() { - return this.curve.validate(this); -}; - -BaseCurve.prototype.decodePoint = function decodePoint(bytes, enc) { - bytes = utils.toArray(bytes, enc); - - var len = this.p.byteLength(); - - // uncompressed, hybrid-odd, hybrid-even - if ((bytes[0] === 0x04 || bytes[0] === 0x06 || bytes[0] === 0x07) && - bytes.length - 1 === 2 * len) { - if (bytes[0] === 0x06) - assert(bytes[bytes.length - 1] % 2 === 0); - else if (bytes[0] === 0x07) - assert(bytes[bytes.length - 1] % 2 === 1); - - var res = this.point(bytes.slice(1, 1 + len), - bytes.slice(1 + len, 1 + 2 * len)); - - return res; - } else if ((bytes[0] === 0x02 || bytes[0] === 0x03) && - bytes.length - 1 === len) { - return this.pointFromX(bytes.slice(1, 1 + len), bytes[0] === 0x03); - } - throw new Error('Unknown point format'); -}; - -BasePoint.prototype.encodeCompressed = function encodeCompressed(enc) { - return this.encode(enc, true); -}; - -BasePoint.prototype._encode = function _encode(compact) { - var len = this.curve.p.byteLength(); - var x = this.getX().toArray('be', len); - - if (compact) - return [ this.getY().isEven() ? 0x02 : 0x03 ].concat(x); - - return [ 0x04 ].concat(x, this.getY().toArray('be', len)) ; -}; - -BasePoint.prototype.encode = function encode(enc, compact) { - return utils.encode(this._encode(compact), enc); -}; - -BasePoint.prototype.precompute = function precompute(power) { - if (this.precomputed) - return this; - - var precomputed = { - doubles: null, - naf: null, - beta: null - }; - precomputed.naf = this._getNAFPoints(8); - precomputed.doubles = this._getDoubles(4, power); - precomputed.beta = this._getBeta(); - this.precomputed = precomputed; - - return this; -}; - -BasePoint.prototype._hasDoubles = function _hasDoubles(k) { - if (!this.precomputed) - return false; - - var doubles = this.precomputed.doubles; - if (!doubles) - return false; - - return doubles.points.length >= Math.ceil((k.bitLength() + 1) / doubles.step); -}; - -BasePoint.prototype._getDoubles = function _getDoubles(step, power) { - if (this.precomputed && this.precomputed.doubles) - return this.precomputed.doubles; - - var doubles = [ this ]; - var acc = this; - for (var i = 0; i < power; i += step) { - for (var j = 0; j < step; j++) - acc = acc.dbl(); - doubles.push(acc); - } - return { - step: step, - points: doubles - }; -}; - -BasePoint.prototype._getNAFPoints = function _getNAFPoints(wnd) { - if (this.precomputed && this.precomputed.naf) - return this.precomputed.naf; - - var res = [ this ]; - var max = (1 << wnd) - 1; - var dbl = max === 1 ? null : this.dbl(); - for (var i = 1; i < max; i++) - res[i] = res[i - 1].add(dbl); - return { - wnd: wnd, - points: res - }; -}; - -BasePoint.prototype._getBeta = function _getBeta() { - return null; -}; - -BasePoint.prototype.dblp = function dblp(k) { - var r = this; - for (var i = 0; i < k; i++) - r = r.dbl(); - return r; -}; - - -/***/ }), -/* 19 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var curve = __webpack_require__(5); -var elliptic = __webpack_require__(0); -var BN = __webpack_require__(2); -var inherits = __webpack_require__(6); -var Base = curve.base; - -var assert = elliptic.utils.assert; - -function ShortCurve(conf) { - Base.call(this, 'short', conf); - - this.a = new BN(conf.a, 16).toRed(this.red); - this.b = new BN(conf.b, 16).toRed(this.red); - this.tinv = this.two.redInvm(); - - this.zeroA = this.a.fromRed().cmpn(0) === 0; - this.threeA = this.a.fromRed().sub(this.p).cmpn(-3) === 0; - - // If the curve is endomorphic, precalculate beta and lambda - this.endo = this._getEndomorphism(conf); - this._endoWnafT1 = new Array(4); - this._endoWnafT2 = new Array(4); -} -inherits(ShortCurve, Base); -module.exports = ShortCurve; - -ShortCurve.prototype._getEndomorphism = function _getEndomorphism(conf) { - // No efficient endomorphism - if (!this.zeroA || !this.g || !this.n || this.p.modn(3) !== 1) - return; - - // Compute beta and lambda, that lambda * P = (beta * Px; Py) - var beta; - var lambda; - if (conf.beta) { - beta = new BN(conf.beta, 16).toRed(this.red); - } else { - var betas = this._getEndoRoots(this.p); - // Choose the smallest beta - beta = betas[0].cmp(betas[1]) < 0 ? betas[0] : betas[1]; - beta = beta.toRed(this.red); - } - if (conf.lambda) { - lambda = new BN(conf.lambda, 16); - } else { - // Choose the lambda that is matching selected beta - var lambdas = this._getEndoRoots(this.n); - if (this.g.mul(lambdas[0]).x.cmp(this.g.x.redMul(beta)) === 0) { - lambda = lambdas[0]; - } else { - lambda = lambdas[1]; - assert(this.g.mul(lambda).x.cmp(this.g.x.redMul(beta)) === 0); - } - } - - // Get basis vectors, used for balanced length-two representation - var basis; - if (conf.basis) { - basis = conf.basis.map(function(vec) { - return { - a: new BN(vec.a, 16), - b: new BN(vec.b, 16) - }; - }); - } else { - basis = this._getEndoBasis(lambda); - } - - return { - beta: beta, - lambda: lambda, - basis: basis - }; -}; - -ShortCurve.prototype._getEndoRoots = function _getEndoRoots(num) { - // Find roots of for x^2 + x + 1 in F - // Root = (-1 +- Sqrt(-3)) / 2 - // - var red = num === this.p ? this.red : BN.mont(num); - var tinv = new BN(2).toRed(red).redInvm(); - var ntinv = tinv.redNeg(); - - var s = new BN(3).toRed(red).redNeg().redSqrt().redMul(tinv); - - var l1 = ntinv.redAdd(s).fromRed(); - var l2 = ntinv.redSub(s).fromRed(); - return [ l1, l2 ]; -}; - -ShortCurve.prototype._getEndoBasis = function _getEndoBasis(lambda) { - // aprxSqrt >= sqrt(this.n) - var aprxSqrt = this.n.ushrn(Math.floor(this.n.bitLength() / 2)); - - // 3.74 - // Run EGCD, until r(L + 1) < aprxSqrt - var u = lambda; - var v = this.n.clone(); - var x1 = new BN(1); - var y1 = new BN(0); - var x2 = new BN(0); - var y2 = new BN(1); - - // NOTE: all vectors are roots of: a + b * lambda = 0 (mod n) - var a0; - var b0; - // First vector - var a1; - var b1; - // Second vector - var a2; - var b2; - - var prevR; - var i = 0; - var r; - var x; - while (u.cmpn(0) !== 0) { - var q = v.div(u); - r = v.sub(q.mul(u)); - x = x2.sub(q.mul(x1)); - var y = y2.sub(q.mul(y1)); - - if (!a1 && r.cmp(aprxSqrt) < 0) { - a0 = prevR.neg(); - b0 = x1; - a1 = r.neg(); - b1 = x; - } else if (a1 && ++i === 2) { - break; - } - prevR = r; - - v = u; - u = r; - x2 = x1; - x1 = x; - y2 = y1; - y1 = y; - } - a2 = r.neg(); - b2 = x; - - var len1 = a1.sqr().add(b1.sqr()); - var len2 = a2.sqr().add(b2.sqr()); - if (len2.cmp(len1) >= 0) { - a2 = a0; - b2 = b0; - } - - // Normalize signs - if (a1.negative) { - a1 = a1.neg(); - b1 = b1.neg(); - } - if (a2.negative) { - a2 = a2.neg(); - b2 = b2.neg(); - } - - return [ - { a: a1, b: b1 }, - { a: a2, b: b2 } - ]; -}; - -ShortCurve.prototype._endoSplit = function _endoSplit(k) { - var basis = this.endo.basis; - var v1 = basis[0]; - var v2 = basis[1]; - - var c1 = v2.b.mul(k).divRound(this.n); - var c2 = v1.b.neg().mul(k).divRound(this.n); - - var p1 = c1.mul(v1.a); - var p2 = c2.mul(v2.a); - var q1 = c1.mul(v1.b); - var q2 = c2.mul(v2.b); - - // Calculate answer - var k1 = k.sub(p1).sub(p2); - var k2 = q1.add(q2).neg(); - return { k1: k1, k2: k2 }; -}; - -ShortCurve.prototype.pointFromX = function pointFromX(x, odd) { - x = new BN(x, 16); - if (!x.red) - x = x.toRed(this.red); - - var y2 = x.redSqr().redMul(x).redIAdd(x.redMul(this.a)).redIAdd(this.b); - var y = y2.redSqrt(); - if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) - throw new Error('invalid point'); - - // XXX Is there any way to tell if the number is odd without converting it - // to non-red form? - var isOdd = y.fromRed().isOdd(); - if (odd && !isOdd || !odd && isOdd) - y = y.redNeg(); - - return this.point(x, y); -}; - -ShortCurve.prototype.validate = function validate(point) { - if (point.inf) - return true; - - var x = point.x; - var y = point.y; - - var ax = this.a.redMul(x); - var rhs = x.redSqr().redMul(x).redIAdd(ax).redIAdd(this.b); - return y.redSqr().redISub(rhs).cmpn(0) === 0; -}; - -ShortCurve.prototype._endoWnafMulAdd = - function _endoWnafMulAdd(points, coeffs, jacobianResult) { - var npoints = this._endoWnafT1; - var ncoeffs = this._endoWnafT2; - for (var i = 0; i < points.length; i++) { - var split = this._endoSplit(coeffs[i]); - var p = points[i]; - var beta = p._getBeta(); - - if (split.k1.negative) { - split.k1.ineg(); - p = p.neg(true); - } - if (split.k2.negative) { - split.k2.ineg(); - beta = beta.neg(true); - } - - npoints[i * 2] = p; - npoints[i * 2 + 1] = beta; - ncoeffs[i * 2] = split.k1; - ncoeffs[i * 2 + 1] = split.k2; - } - var res = this._wnafMulAdd(1, npoints, ncoeffs, i * 2, jacobianResult); - - // Clean-up references to points and coefficients - for (var j = 0; j < i * 2; j++) { - npoints[j] = null; - ncoeffs[j] = null; - } - return res; -}; - -function Point(curve, x, y, isRed) { - Base.BasePoint.call(this, curve, 'affine'); - if (x === null && y === null) { - this.x = null; - this.y = null; - this.inf = true; - } else { - this.x = new BN(x, 16); - this.y = new BN(y, 16); - // Force redgomery representation when loading from JSON - if (isRed) { - this.x.forceRed(this.curve.red); - this.y.forceRed(this.curve.red); - } - if (!this.x.red) - this.x = this.x.toRed(this.curve.red); - if (!this.y.red) - this.y = this.y.toRed(this.curve.red); - this.inf = false; - } -} -inherits(Point, Base.BasePoint); - -ShortCurve.prototype.point = function point(x, y, isRed) { - return new Point(this, x, y, isRed); -}; - -ShortCurve.prototype.pointFromJSON = function pointFromJSON(obj, red) { - return Point.fromJSON(this, obj, red); -}; - -Point.prototype._getBeta = function _getBeta() { - if (!this.curve.endo) - return; - - var pre = this.precomputed; - if (pre && pre.beta) - return pre.beta; - - var beta = this.curve.point(this.x.redMul(this.curve.endo.beta), this.y); - if (pre) { - var curve = this.curve; - var endoMul = function(p) { - return curve.point(p.x.redMul(curve.endo.beta), p.y); - }; - pre.beta = beta; - beta.precomputed = { - beta: null, - naf: pre.naf && { - wnd: pre.naf.wnd, - points: pre.naf.points.map(endoMul) - }, - doubles: pre.doubles && { - step: pre.doubles.step, - points: pre.doubles.points.map(endoMul) - } - }; - } - return beta; -}; - -Point.prototype.toJSON = function toJSON() { - if (!this.precomputed) - return [ this.x, this.y ]; - - return [ this.x, this.y, this.precomputed && { - doubles: this.precomputed.doubles && { - step: this.precomputed.doubles.step, - points: this.precomputed.doubles.points.slice(1) - }, - naf: this.precomputed.naf && { - wnd: this.precomputed.naf.wnd, - points: this.precomputed.naf.points.slice(1) - } - } ]; -}; - -Point.fromJSON = function fromJSON(curve, obj, red) { - if (typeof obj === 'string') - obj = JSON.parse(obj); - var res = curve.point(obj[0], obj[1], red); - if (!obj[2]) - return res; - - function obj2point(obj) { - return curve.point(obj[0], obj[1], red); - } - - var pre = obj[2]; - res.precomputed = { - beta: null, - doubles: pre.doubles && { - step: pre.doubles.step, - points: [ res ].concat(pre.doubles.points.map(obj2point)) - }, - naf: pre.naf && { - wnd: pre.naf.wnd, - points: [ res ].concat(pre.naf.points.map(obj2point)) - } - }; - return res; -}; - -Point.prototype.inspect = function inspect() { - if (this.isInfinity()) - return ''; - return ''; -}; - -Point.prototype.isInfinity = function isInfinity() { - return this.inf; -}; - -Point.prototype.add = function add(p) { - // O + P = P - if (this.inf) - return p; - - // P + O = P - if (p.inf) - return this; - - // P + P = 2P - if (this.eq(p)) - return this.dbl(); - - // P + (-P) = O - if (this.neg().eq(p)) - return this.curve.point(null, null); - - // P + Q = O - if (this.x.cmp(p.x) === 0) - return this.curve.point(null, null); - - var c = this.y.redSub(p.y); - if (c.cmpn(0) !== 0) - c = c.redMul(this.x.redSub(p.x).redInvm()); - var nx = c.redSqr().redISub(this.x).redISub(p.x); - var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); - return this.curve.point(nx, ny); -}; - -Point.prototype.dbl = function dbl() { - if (this.inf) - return this; - - // 2P = O - var ys1 = this.y.redAdd(this.y); - if (ys1.cmpn(0) === 0) - return this.curve.point(null, null); - - var a = this.curve.a; - - var x2 = this.x.redSqr(); - var dyinv = ys1.redInvm(); - var c = x2.redAdd(x2).redIAdd(x2).redIAdd(a).redMul(dyinv); - - var nx = c.redSqr().redISub(this.x.redAdd(this.x)); - var ny = c.redMul(this.x.redSub(nx)).redISub(this.y); - return this.curve.point(nx, ny); -}; - -Point.prototype.getX = function getX() { - return this.x.fromRed(); -}; - -Point.prototype.getY = function getY() { - return this.y.fromRed(); -}; - -Point.prototype.mul = function mul(k) { - k = new BN(k, 16); - - if (this._hasDoubles(k)) - return this.curve._fixedNafMul(this, k); - else if (this.curve.endo) - return this.curve._endoWnafMulAdd([ this ], [ k ]); - else - return this.curve._wnafMul(this, k); -}; - -Point.prototype.mulAdd = function mulAdd(k1, p2, k2) { - var points = [ this, p2 ]; - var coeffs = [ k1, k2 ]; - if (this.curve.endo) - return this.curve._endoWnafMulAdd(points, coeffs); - else - return this.curve._wnafMulAdd(1, points, coeffs, 2); -}; - -Point.prototype.jmulAdd = function jmulAdd(k1, p2, k2) { - var points = [ this, p2 ]; - var coeffs = [ k1, k2 ]; - if (this.curve.endo) - return this.curve._endoWnafMulAdd(points, coeffs, true); - else - return this.curve._wnafMulAdd(1, points, coeffs, 2, true); -}; - -Point.prototype.eq = function eq(p) { - return this === p || - this.inf === p.inf && - (this.inf || this.x.cmp(p.x) === 0 && this.y.cmp(p.y) === 0); -}; - -Point.prototype.neg = function neg(_precompute) { - if (this.inf) - return this; - - var res = this.curve.point(this.x, this.y.redNeg()); - if (_precompute && this.precomputed) { - var pre = this.precomputed; - var negate = function(p) { - return p.neg(); - }; - res.precomputed = { - naf: pre.naf && { - wnd: pre.naf.wnd, - points: pre.naf.points.map(negate) - }, - doubles: pre.doubles && { - step: pre.doubles.step, - points: pre.doubles.points.map(negate) - } - }; - } - return res; -}; - -Point.prototype.toJ = function toJ() { - if (this.inf) - return this.curve.jpoint(null, null, null); - - var res = this.curve.jpoint(this.x, this.y, this.curve.one); - return res; -}; - -function JPoint(curve, x, y, z) { - Base.BasePoint.call(this, curve, 'jacobian'); - if (x === null && y === null && z === null) { - this.x = this.curve.one; - this.y = this.curve.one; - this.z = new BN(0); - } else { - this.x = new BN(x, 16); - this.y = new BN(y, 16); - this.z = new BN(z, 16); - } - if (!this.x.red) - this.x = this.x.toRed(this.curve.red); - if (!this.y.red) - this.y = this.y.toRed(this.curve.red); - if (!this.z.red) - this.z = this.z.toRed(this.curve.red); - - this.zOne = this.z === this.curve.one; -} -inherits(JPoint, Base.BasePoint); - -ShortCurve.prototype.jpoint = function jpoint(x, y, z) { - return new JPoint(this, x, y, z); -}; - -JPoint.prototype.toP = function toP() { - if (this.isInfinity()) - return this.curve.point(null, null); - - var zinv = this.z.redInvm(); - var zinv2 = zinv.redSqr(); - var ax = this.x.redMul(zinv2); - var ay = this.y.redMul(zinv2).redMul(zinv); - - return this.curve.point(ax, ay); -}; - -JPoint.prototype.neg = function neg() { - return this.curve.jpoint(this.x, this.y.redNeg(), this.z); -}; - -JPoint.prototype.add = function add(p) { - // O + P = P - if (this.isInfinity()) - return p; - - // P + O = P - if (p.isInfinity()) - return this; - - // 12M + 4S + 7A - var pz2 = p.z.redSqr(); - var z2 = this.z.redSqr(); - var u1 = this.x.redMul(pz2); - var u2 = p.x.redMul(z2); - var s1 = this.y.redMul(pz2.redMul(p.z)); - var s2 = p.y.redMul(z2.redMul(this.z)); - - var h = u1.redSub(u2); - var r = s1.redSub(s2); - if (h.cmpn(0) === 0) { - if (r.cmpn(0) !== 0) - return this.curve.jpoint(null, null, null); - else - return this.dbl(); - } - - var h2 = h.redSqr(); - var h3 = h2.redMul(h); - var v = u1.redMul(h2); - - var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); - var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); - var nz = this.z.redMul(p.z).redMul(h); - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype.mixedAdd = function mixedAdd(p) { - // O + P = P - if (this.isInfinity()) - return p.toJ(); - - // P + O = P - if (p.isInfinity()) - return this; - - // 8M + 3S + 7A - var z2 = this.z.redSqr(); - var u1 = this.x; - var u2 = p.x.redMul(z2); - var s1 = this.y; - var s2 = p.y.redMul(z2).redMul(this.z); - - var h = u1.redSub(u2); - var r = s1.redSub(s2); - if (h.cmpn(0) === 0) { - if (r.cmpn(0) !== 0) - return this.curve.jpoint(null, null, null); - else - return this.dbl(); - } - - var h2 = h.redSqr(); - var h3 = h2.redMul(h); - var v = u1.redMul(h2); - - var nx = r.redSqr().redIAdd(h3).redISub(v).redISub(v); - var ny = r.redMul(v.redISub(nx)).redISub(s1.redMul(h3)); - var nz = this.z.redMul(h); - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype.dblp = function dblp(pow) { - if (pow === 0) - return this; - if (this.isInfinity()) - return this; - if (!pow) - return this.dbl(); - - if (this.curve.zeroA || this.curve.threeA) { - var r = this; - for (var i = 0; i < pow; i++) - r = r.dbl(); - return r; - } - - // 1M + 2S + 1A + N * (4S + 5M + 8A) - // N = 1 => 6M + 6S + 9A - var a = this.curve.a; - var tinv = this.curve.tinv; - - var jx = this.x; - var jy = this.y; - var jz = this.z; - var jz4 = jz.redSqr().redSqr(); - - // Reuse results - var jyd = jy.redAdd(jy); - for (var i = 0; i < pow; i++) { - var jx2 = jx.redSqr(); - var jyd2 = jyd.redSqr(); - var jyd4 = jyd2.redSqr(); - var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); - - var t1 = jx.redMul(jyd2); - var nx = c.redSqr().redISub(t1.redAdd(t1)); - var t2 = t1.redISub(nx); - var dny = c.redMul(t2); - dny = dny.redIAdd(dny).redISub(jyd4); - var nz = jyd.redMul(jz); - if (i + 1 < pow) - jz4 = jz4.redMul(jyd4); - - jx = nx; - jz = nz; - jyd = dny; - } - - return this.curve.jpoint(jx, jyd.redMul(tinv), jz); -}; - -JPoint.prototype.dbl = function dbl() { - if (this.isInfinity()) - return this; - - if (this.curve.zeroA) - return this._zeroDbl(); - else if (this.curve.threeA) - return this._threeDbl(); - else - return this._dbl(); -}; - -JPoint.prototype._zeroDbl = function _zeroDbl() { - var nx; - var ny; - var nz; - // Z = 1 - if (this.zOne) { - // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html - // #doubling-mdbl-2007-bl - // 1M + 5S + 14A - - // XX = X1^2 - var xx = this.x.redSqr(); - // YY = Y1^2 - var yy = this.y.redSqr(); - // YYYY = YY^2 - var yyyy = yy.redSqr(); - // S = 2 * ((X1 + YY)^2 - XX - YYYY) - var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); - s = s.redIAdd(s); - // M = 3 * XX + a; a = 0 - var m = xx.redAdd(xx).redIAdd(xx); - // T = M ^ 2 - 2*S - var t = m.redSqr().redISub(s).redISub(s); - - // 8 * YYYY - var yyyy8 = yyyy.redIAdd(yyyy); - yyyy8 = yyyy8.redIAdd(yyyy8); - yyyy8 = yyyy8.redIAdd(yyyy8); - - // X3 = T - nx = t; - // Y3 = M * (S - T) - 8 * YYYY - ny = m.redMul(s.redISub(t)).redISub(yyyy8); - // Z3 = 2*Y1 - nz = this.y.redAdd(this.y); - } else { - // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html - // #doubling-dbl-2009-l - // 2M + 5S + 13A - - // A = X1^2 - var a = this.x.redSqr(); - // B = Y1^2 - var b = this.y.redSqr(); - // C = B^2 - var c = b.redSqr(); - // D = 2 * ((X1 + B)^2 - A - C) - var d = this.x.redAdd(b).redSqr().redISub(a).redISub(c); - d = d.redIAdd(d); - // E = 3 * A - var e = a.redAdd(a).redIAdd(a); - // F = E^2 - var f = e.redSqr(); - - // 8 * C - var c8 = c.redIAdd(c); - c8 = c8.redIAdd(c8); - c8 = c8.redIAdd(c8); - - // X3 = F - 2 * D - nx = f.redISub(d).redISub(d); - // Y3 = E * (D - X3) - 8 * C - ny = e.redMul(d.redISub(nx)).redISub(c8); - // Z3 = 2 * Y1 * Z1 - nz = this.y.redMul(this.z); - nz = nz.redIAdd(nz); - } - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype._threeDbl = function _threeDbl() { - var nx; - var ny; - var nz; - // Z = 1 - if (this.zOne) { - // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html - // #doubling-mdbl-2007-bl - // 1M + 5S + 15A - - // XX = X1^2 - var xx = this.x.redSqr(); - // YY = Y1^2 - var yy = this.y.redSqr(); - // YYYY = YY^2 - var yyyy = yy.redSqr(); - // S = 2 * ((X1 + YY)^2 - XX - YYYY) - var s = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); - s = s.redIAdd(s); - // M = 3 * XX + a - var m = xx.redAdd(xx).redIAdd(xx).redIAdd(this.curve.a); - // T = M^2 - 2 * S - var t = m.redSqr().redISub(s).redISub(s); - // X3 = T - nx = t; - // Y3 = M * (S - T) - 8 * YYYY - var yyyy8 = yyyy.redIAdd(yyyy); - yyyy8 = yyyy8.redIAdd(yyyy8); - yyyy8 = yyyy8.redIAdd(yyyy8); - ny = m.redMul(s.redISub(t)).redISub(yyyy8); - // Z3 = 2 * Y1 - nz = this.y.redAdd(this.y); - } else { - // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#doubling-dbl-2001-b - // 3M + 5S - - // delta = Z1^2 - var delta = this.z.redSqr(); - // gamma = Y1^2 - var gamma = this.y.redSqr(); - // beta = X1 * gamma - var beta = this.x.redMul(gamma); - // alpha = 3 * (X1 - delta) * (X1 + delta) - var alpha = this.x.redSub(delta).redMul(this.x.redAdd(delta)); - alpha = alpha.redAdd(alpha).redIAdd(alpha); - // X3 = alpha^2 - 8 * beta - var beta4 = beta.redIAdd(beta); - beta4 = beta4.redIAdd(beta4); - var beta8 = beta4.redAdd(beta4); - nx = alpha.redSqr().redISub(beta8); - // Z3 = (Y1 + Z1)^2 - gamma - delta - nz = this.y.redAdd(this.z).redSqr().redISub(gamma).redISub(delta); - // Y3 = alpha * (4 * beta - X3) - 8 * gamma^2 - var ggamma8 = gamma.redSqr(); - ggamma8 = ggamma8.redIAdd(ggamma8); - ggamma8 = ggamma8.redIAdd(ggamma8); - ggamma8 = ggamma8.redIAdd(ggamma8); - ny = alpha.redMul(beta4.redISub(nx)).redISub(ggamma8); - } - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype._dbl = function _dbl() { - var a = this.curve.a; - - // 4M + 6S + 10A - var jx = this.x; - var jy = this.y; - var jz = this.z; - var jz4 = jz.redSqr().redSqr(); - - var jx2 = jx.redSqr(); - var jy2 = jy.redSqr(); - - var c = jx2.redAdd(jx2).redIAdd(jx2).redIAdd(a.redMul(jz4)); - - var jxd4 = jx.redAdd(jx); - jxd4 = jxd4.redIAdd(jxd4); - var t1 = jxd4.redMul(jy2); - var nx = c.redSqr().redISub(t1.redAdd(t1)); - var t2 = t1.redISub(nx); - - var jyd8 = jy2.redSqr(); - jyd8 = jyd8.redIAdd(jyd8); - jyd8 = jyd8.redIAdd(jyd8); - jyd8 = jyd8.redIAdd(jyd8); - var ny = c.redMul(t2).redISub(jyd8); - var nz = jy.redAdd(jy).redMul(jz); - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype.trpl = function trpl() { - if (!this.curve.zeroA) - return this.dbl().add(this); - - // hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#tripling-tpl-2007-bl - // 5M + 10S + ... - - // XX = X1^2 - var xx = this.x.redSqr(); - // YY = Y1^2 - var yy = this.y.redSqr(); - // ZZ = Z1^2 - var zz = this.z.redSqr(); - // YYYY = YY^2 - var yyyy = yy.redSqr(); - // M = 3 * XX + a * ZZ2; a = 0 - var m = xx.redAdd(xx).redIAdd(xx); - // MM = M^2 - var mm = m.redSqr(); - // E = 6 * ((X1 + YY)^2 - XX - YYYY) - MM - var e = this.x.redAdd(yy).redSqr().redISub(xx).redISub(yyyy); - e = e.redIAdd(e); - e = e.redAdd(e).redIAdd(e); - e = e.redISub(mm); - // EE = E^2 - var ee = e.redSqr(); - // T = 16*YYYY - var t = yyyy.redIAdd(yyyy); - t = t.redIAdd(t); - t = t.redIAdd(t); - t = t.redIAdd(t); - // U = (M + E)^2 - MM - EE - T - var u = m.redIAdd(e).redSqr().redISub(mm).redISub(ee).redISub(t); - // X3 = 4 * (X1 * EE - 4 * YY * U) - var yyu4 = yy.redMul(u); - yyu4 = yyu4.redIAdd(yyu4); - yyu4 = yyu4.redIAdd(yyu4); - var nx = this.x.redMul(ee).redISub(yyu4); - nx = nx.redIAdd(nx); - nx = nx.redIAdd(nx); - // Y3 = 8 * Y1 * (U * (T - U) - E * EE) - var ny = this.y.redMul(u.redMul(t.redISub(u)).redISub(e.redMul(ee))); - ny = ny.redIAdd(ny); - ny = ny.redIAdd(ny); - ny = ny.redIAdd(ny); - // Z3 = (Z1 + E)^2 - ZZ - EE - var nz = this.z.redAdd(e).redSqr().redISub(zz).redISub(ee); - - return this.curve.jpoint(nx, ny, nz); -}; - -JPoint.prototype.mul = function mul(k, kbase) { - k = new BN(k, kbase); - - return this.curve._wnafMul(this, k); -}; - -JPoint.prototype.eq = function eq(p) { - if (p.type === 'affine') - return this.eq(p.toJ()); - - if (this === p) - return true; - - // x1 * z2^2 == x2 * z1^2 - var z2 = this.z.redSqr(); - var pz2 = p.z.redSqr(); - if (this.x.redMul(pz2).redISub(p.x.redMul(z2)).cmpn(0) !== 0) - return false; - - // y1 * z2^3 == y2 * z1^3 - var z3 = z2.redMul(this.z); - var pz3 = pz2.redMul(p.z); - return this.y.redMul(pz3).redISub(p.y.redMul(z3)).cmpn(0) === 0; -}; - -JPoint.prototype.eqXToP = function eqXToP(x) { - var zs = this.z.redSqr(); - var rx = x.toRed(this.curve.red).redMul(zs); - if (this.x.cmp(rx) === 0) - return true; - - var xc = x.clone(); - var t = this.curve.redN.redMul(zs); - for (;;) { - xc.iadd(this.curve.n); - if (xc.cmp(this.curve.p) >= 0) - return false; - - rx.redIAdd(t); - if (this.x.cmp(rx) === 0) - return true; - } -}; - -JPoint.prototype.inspect = function inspect() { - if (this.isInfinity()) - return ''; - return ''; -}; - -JPoint.prototype.isInfinity = function isInfinity() { - // XXX This code assumes that zero is always zero in red - return this.z.cmpn(0) === 0; -}; - - -/***/ }), -/* 20 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var curve = __webpack_require__(5); -var BN = __webpack_require__(2); -var inherits = __webpack_require__(6); -var Base = curve.base; - -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; - -function MontCurve(conf) { - Base.call(this, 'mont', conf); - - this.a = new BN(conf.a, 16).toRed(this.red); - this.b = new BN(conf.b, 16).toRed(this.red); - this.i4 = new BN(4).toRed(this.red).redInvm(); - this.two = new BN(2).toRed(this.red); - this.a24 = this.i4.redMul(this.a.redAdd(this.two)); -} -inherits(MontCurve, Base); -module.exports = MontCurve; - -MontCurve.prototype.validate = function validate(point) { - var x = point.normalize().x; - var x2 = x.redSqr(); - var rhs = x2.redMul(x).redAdd(x2.redMul(this.a)).redAdd(x); - var y = rhs.redSqrt(); - - return y.redSqr().cmp(rhs) === 0; -}; - -function Point(curve, x, z) { - Base.BasePoint.call(this, curve, 'projective'); - if (x === null && z === null) { - this.x = this.curve.one; - this.z = this.curve.zero; - } else { - this.x = new BN(x, 16); - this.z = new BN(z, 16); - if (!this.x.red) - this.x = this.x.toRed(this.curve.red); - if (!this.z.red) - this.z = this.z.toRed(this.curve.red); - } -} -inherits(Point, Base.BasePoint); - -MontCurve.prototype.decodePoint = function decodePoint(bytes, enc) { - return this.point(utils.toArray(bytes, enc), 1); -}; - -MontCurve.prototype.point = function point(x, z) { - return new Point(this, x, z); -}; - -MontCurve.prototype.pointFromJSON = function pointFromJSON(obj) { - return Point.fromJSON(this, obj); -}; - -Point.prototype.precompute = function precompute() { - // No-op -}; - -Point.prototype._encode = function _encode() { - return this.getX().toArray('be', this.curve.p.byteLength()); -}; - -Point.fromJSON = function fromJSON(curve, obj) { - return new Point(curve, obj[0], obj[1] || curve.one); -}; - -Point.prototype.inspect = function inspect() { - if (this.isInfinity()) - return ''; - return ''; -}; - -Point.prototype.isInfinity = function isInfinity() { - // XXX This code assumes that zero is always zero in red - return this.z.cmpn(0) === 0; -}; - -Point.prototype.dbl = function dbl() { - // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#doubling-dbl-1987-m-3 - // 2M + 2S + 4A - - // A = X1 + Z1 - var a = this.x.redAdd(this.z); - // AA = A^2 - var aa = a.redSqr(); - // B = X1 - Z1 - var b = this.x.redSub(this.z); - // BB = B^2 - var bb = b.redSqr(); - // C = AA - BB - var c = aa.redSub(bb); - // X3 = AA * BB - var nx = aa.redMul(bb); - // Z3 = C * (BB + A24 * C) - var nz = c.redMul(bb.redAdd(this.curve.a24.redMul(c))); - return this.curve.point(nx, nz); -}; - -Point.prototype.add = function add() { - throw new Error('Not supported on Montgomery curve'); -}; - -Point.prototype.diffAdd = function diffAdd(p, diff) { - // http://hyperelliptic.org/EFD/g1p/auto-montgom-xz.html#diffadd-dadd-1987-m-3 - // 4M + 2S + 6A - - // A = X2 + Z2 - var a = this.x.redAdd(this.z); - // B = X2 - Z2 - var b = this.x.redSub(this.z); - // C = X3 + Z3 - var c = p.x.redAdd(p.z); - // D = X3 - Z3 - var d = p.x.redSub(p.z); - // DA = D * A - var da = d.redMul(a); - // CB = C * B - var cb = c.redMul(b); - // X5 = Z1 * (DA + CB)^2 - var nx = diff.z.redMul(da.redAdd(cb).redSqr()); - // Z5 = X1 * (DA - CB)^2 - var nz = diff.x.redMul(da.redISub(cb).redSqr()); - return this.curve.point(nx, nz); -}; - -Point.prototype.mul = function mul(k) { - var t = k.clone(); - var a = this; // (N / 2) * Q + Q - var b = this.curve.point(null, null); // (N / 2) * Q - var c = this; // Q - - for (var bits = []; t.cmpn(0) !== 0; t.iushrn(1)) - bits.push(t.andln(1)); - - for (var i = bits.length - 1; i >= 0; i--) { - if (bits[i] === 0) { - // N * Q + Q = ((N / 2) * Q + Q)) + (N / 2) * Q - a = a.diffAdd(b, c); - // N * Q = 2 * ((N / 2) * Q + Q)) - b = b.dbl(); - } else { - // N * Q = ((N / 2) * Q + Q) + ((N / 2) * Q) - b = a.diffAdd(b, c); - // N * Q + Q = 2 * ((N / 2) * Q + Q) - a = a.dbl(); - } - } - return b; -}; - -Point.prototype.mulAdd = function mulAdd() { - throw new Error('Not supported on Montgomery curve'); -}; - -Point.prototype.jumlAdd = function jumlAdd() { - throw new Error('Not supported on Montgomery curve'); -}; - -Point.prototype.eq = function eq(other) { - return this.getX().cmp(other.getX()) === 0; -}; - -Point.prototype.normalize = function normalize() { - this.x = this.x.redMul(this.z.redInvm()); - this.z = this.curve.one; - return this; -}; - -Point.prototype.getX = function getX() { - // Normalize coordinates - this.normalize(); - - return this.x.fromRed(); -}; - - -/***/ }), -/* 21 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var curve = __webpack_require__(5); -var elliptic = __webpack_require__(0); -var BN = __webpack_require__(2); -var inherits = __webpack_require__(6); -var Base = curve.base; - -var assert = elliptic.utils.assert; - -function EdwardsCurve(conf) { - // NOTE: Important as we are creating point in Base.call() - this.twisted = (conf.a | 0) !== 1; - this.mOneA = this.twisted && (conf.a | 0) === -1; - this.extended = this.mOneA; - - Base.call(this, 'edwards', conf); - - this.a = new BN(conf.a, 16).umod(this.red.m); - this.a = this.a.toRed(this.red); - this.c = new BN(conf.c, 16).toRed(this.red); - this.c2 = this.c.redSqr(); - this.d = new BN(conf.d, 16).toRed(this.red); - this.dd = this.d.redAdd(this.d); - - assert(!this.twisted || this.c.fromRed().cmpn(1) === 0); - this.oneC = (conf.c | 0) === 1; -} -inherits(EdwardsCurve, Base); -module.exports = EdwardsCurve; - -EdwardsCurve.prototype._mulA = function _mulA(num) { - if (this.mOneA) - return num.redNeg(); - else - return this.a.redMul(num); -}; - -EdwardsCurve.prototype._mulC = function _mulC(num) { - if (this.oneC) - return num; - else - return this.c.redMul(num); -}; - -// Just for compatibility with Short curve -EdwardsCurve.prototype.jpoint = function jpoint(x, y, z, t) { - return this.point(x, y, z, t); -}; - -EdwardsCurve.prototype.pointFromX = function pointFromX(x, odd) { - x = new BN(x, 16); - if (!x.red) - x = x.toRed(this.red); - - var x2 = x.redSqr(); - var rhs = this.c2.redSub(this.a.redMul(x2)); - var lhs = this.one.redSub(this.c2.redMul(this.d).redMul(x2)); - - var y2 = rhs.redMul(lhs.redInvm()); - var y = y2.redSqrt(); - if (y.redSqr().redSub(y2).cmp(this.zero) !== 0) - throw new Error('invalid point'); - - var isOdd = y.fromRed().isOdd(); - if (odd && !isOdd || !odd && isOdd) - y = y.redNeg(); - - return this.point(x, y); -}; - -EdwardsCurve.prototype.pointFromY = function pointFromY(y, odd) { - y = new BN(y, 16); - if (!y.red) - y = y.toRed(this.red); - - // x^2 = (y^2 - c^2) / (c^2 d y^2 - a) - var y2 = y.redSqr(); - var lhs = y2.redSub(this.c2); - var rhs = y2.redMul(this.d).redMul(this.c2).redSub(this.a); - var x2 = lhs.redMul(rhs.redInvm()); - - if (x2.cmp(this.zero) === 0) { - if (odd) - throw new Error('invalid point'); - else - return this.point(this.zero, y); - } - - var x = x2.redSqrt(); - if (x.redSqr().redSub(x2).cmp(this.zero) !== 0) - throw new Error('invalid point'); - - if (x.fromRed().isOdd() !== odd) - x = x.redNeg(); - - return this.point(x, y); -}; - -EdwardsCurve.prototype.validate = function validate(point) { - if (point.isInfinity()) - return true; - - // Curve: A * X^2 + Y^2 = C^2 * (1 + D * X^2 * Y^2) - point.normalize(); - - var x2 = point.x.redSqr(); - var y2 = point.y.redSqr(); - var lhs = x2.redMul(this.a).redAdd(y2); - var rhs = this.c2.redMul(this.one.redAdd(this.d.redMul(x2).redMul(y2))); - - return lhs.cmp(rhs) === 0; -}; - -function Point(curve, x, y, z, t) { - Base.BasePoint.call(this, curve, 'projective'); - if (x === null && y === null && z === null) { - this.x = this.curve.zero; - this.y = this.curve.one; - this.z = this.curve.one; - this.t = this.curve.zero; - this.zOne = true; - } else { - this.x = new BN(x, 16); - this.y = new BN(y, 16); - this.z = z ? new BN(z, 16) : this.curve.one; - this.t = t && new BN(t, 16); - if (!this.x.red) - this.x = this.x.toRed(this.curve.red); - if (!this.y.red) - this.y = this.y.toRed(this.curve.red); - if (!this.z.red) - this.z = this.z.toRed(this.curve.red); - if (this.t && !this.t.red) - this.t = this.t.toRed(this.curve.red); - this.zOne = this.z === this.curve.one; - - // Use extended coordinates - if (this.curve.extended && !this.t) { - this.t = this.x.redMul(this.y); - if (!this.zOne) - this.t = this.t.redMul(this.z.redInvm()); - } - } -} -inherits(Point, Base.BasePoint); - -EdwardsCurve.prototype.pointFromJSON = function pointFromJSON(obj) { - return Point.fromJSON(this, obj); -}; - -EdwardsCurve.prototype.point = function point(x, y, z, t) { - return new Point(this, x, y, z, t); -}; - -Point.fromJSON = function fromJSON(curve, obj) { - return new Point(curve, obj[0], obj[1], obj[2]); -}; - -Point.prototype.inspect = function inspect() { - if (this.isInfinity()) - return ''; - return ''; -}; - -Point.prototype.isInfinity = function isInfinity() { - // XXX This code assumes that zero is always zero in red - return this.x.cmpn(0) === 0 && - (this.y.cmp(this.z) === 0 || - (this.zOne && this.y.cmp(this.curve.c) === 0)); -}; - -Point.prototype._extDbl = function _extDbl() { - // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html - // #doubling-dbl-2008-hwcd - // 4M + 4S - - // A = X1^2 - var a = this.x.redSqr(); - // B = Y1^2 - var b = this.y.redSqr(); - // C = 2 * Z1^2 - var c = this.z.redSqr(); - c = c.redIAdd(c); - // D = a * A - var d = this.curve._mulA(a); - // E = (X1 + Y1)^2 - A - B - var e = this.x.redAdd(this.y).redSqr().redISub(a).redISub(b); - // G = D + B - var g = d.redAdd(b); - // F = G - C - var f = g.redSub(c); - // H = D - B - var h = d.redSub(b); - // X3 = E * F - var nx = e.redMul(f); - // Y3 = G * H - var ny = g.redMul(h); - // T3 = E * H - var nt = e.redMul(h); - // Z3 = F * G - var nz = f.redMul(g); - return this.curve.point(nx, ny, nz, nt); -}; - -Point.prototype._projDbl = function _projDbl() { - // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html - // #doubling-dbl-2008-bbjlp - // #doubling-dbl-2007-bl - // and others - // Generally 3M + 4S or 2M + 4S - - // B = (X1 + Y1)^2 - var b = this.x.redAdd(this.y).redSqr(); - // C = X1^2 - var c = this.x.redSqr(); - // D = Y1^2 - var d = this.y.redSqr(); - - var nx; - var ny; - var nz; - if (this.curve.twisted) { - // E = a * C - var e = this.curve._mulA(c); - // F = E + D - var f = e.redAdd(d); - if (this.zOne) { - // X3 = (B - C - D) * (F - 2) - nx = b.redSub(c).redSub(d).redMul(f.redSub(this.curve.two)); - // Y3 = F * (E - D) - ny = f.redMul(e.redSub(d)); - // Z3 = F^2 - 2 * F - nz = f.redSqr().redSub(f).redSub(f); - } else { - // H = Z1^2 - var h = this.z.redSqr(); - // J = F - 2 * H - var j = f.redSub(h).redISub(h); - // X3 = (B-C-D)*J - nx = b.redSub(c).redISub(d).redMul(j); - // Y3 = F * (E - D) - ny = f.redMul(e.redSub(d)); - // Z3 = F * J - nz = f.redMul(j); - } - } else { - // E = C + D - var e = c.redAdd(d); - // H = (c * Z1)^2 - var h = this.curve._mulC(this.z).redSqr(); - // J = E - 2 * H - var j = e.redSub(h).redSub(h); - // X3 = c * (B - E) * J - nx = this.curve._mulC(b.redISub(e)).redMul(j); - // Y3 = c * E * (C - D) - ny = this.curve._mulC(e).redMul(c.redISub(d)); - // Z3 = E * J - nz = e.redMul(j); - } - return this.curve.point(nx, ny, nz); -}; - -Point.prototype.dbl = function dbl() { - if (this.isInfinity()) - return this; - - // Double in extended coordinates - if (this.curve.extended) - return this._extDbl(); - else - return this._projDbl(); -}; - -Point.prototype._extAdd = function _extAdd(p) { - // hyperelliptic.org/EFD/g1p/auto-twisted-extended-1.html - // #addition-add-2008-hwcd-3 - // 8M - - // A = (Y1 - X1) * (Y2 - X2) - var a = this.y.redSub(this.x).redMul(p.y.redSub(p.x)); - // B = (Y1 + X1) * (Y2 + X2) - var b = this.y.redAdd(this.x).redMul(p.y.redAdd(p.x)); - // C = T1 * k * T2 - var c = this.t.redMul(this.curve.dd).redMul(p.t); - // D = Z1 * 2 * Z2 - var d = this.z.redMul(p.z.redAdd(p.z)); - // E = B - A - var e = b.redSub(a); - // F = D - C - var f = d.redSub(c); - // G = D + C - var g = d.redAdd(c); - // H = B + A - var h = b.redAdd(a); - // X3 = E * F - var nx = e.redMul(f); - // Y3 = G * H - var ny = g.redMul(h); - // T3 = E * H - var nt = e.redMul(h); - // Z3 = F * G - var nz = f.redMul(g); - return this.curve.point(nx, ny, nz, nt); -}; - -Point.prototype._projAdd = function _projAdd(p) { - // hyperelliptic.org/EFD/g1p/auto-twisted-projective.html - // #addition-add-2008-bbjlp - // #addition-add-2007-bl - // 10M + 1S - - // A = Z1 * Z2 - var a = this.z.redMul(p.z); - // B = A^2 - var b = a.redSqr(); - // C = X1 * X2 - var c = this.x.redMul(p.x); - // D = Y1 * Y2 - var d = this.y.redMul(p.y); - // E = d * C * D - var e = this.curve.d.redMul(c).redMul(d); - // F = B - E - var f = b.redSub(e); - // G = B + E - var g = b.redAdd(e); - // X3 = A * F * ((X1 + Y1) * (X2 + Y2) - C - D) - var tmp = this.x.redAdd(this.y).redMul(p.x.redAdd(p.y)).redISub(c).redISub(d); - var nx = a.redMul(f).redMul(tmp); - var ny; - var nz; - if (this.curve.twisted) { - // Y3 = A * G * (D - a * C) - ny = a.redMul(g).redMul(d.redSub(this.curve._mulA(c))); - // Z3 = F * G - nz = f.redMul(g); - } else { - // Y3 = A * G * (D - C) - ny = a.redMul(g).redMul(d.redSub(c)); - // Z3 = c * F * G - nz = this.curve._mulC(f).redMul(g); - } - return this.curve.point(nx, ny, nz); -}; - -Point.prototype.add = function add(p) { - if (this.isInfinity()) - return p; - if (p.isInfinity()) - return this; - - if (this.curve.extended) - return this._extAdd(p); - else - return this._projAdd(p); -}; - -Point.prototype.mul = function mul(k) { - if (this._hasDoubles(k)) - return this.curve._fixedNafMul(this, k); - else - return this.curve._wnafMul(this, k); -}; - -Point.prototype.mulAdd = function mulAdd(k1, p, k2) { - return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, false); -}; - -Point.prototype.jmulAdd = function jmulAdd(k1, p, k2) { - return this.curve._wnafMulAdd(1, [ this, p ], [ k1, k2 ], 2, true); -}; - -Point.prototype.normalize = function normalize() { - if (this.zOne) - return this; - - // Normalize coordinates - var zi = this.z.redInvm(); - this.x = this.x.redMul(zi); - this.y = this.y.redMul(zi); - if (this.t) - this.t = this.t.redMul(zi); - this.z = this.curve.one; - this.zOne = true; - return this; -}; - -Point.prototype.neg = function neg() { - return this.curve.point(this.x.redNeg(), - this.y, - this.z, - this.t && this.t.redNeg()); -}; - -Point.prototype.getX = function getX() { - this.normalize(); - return this.x.fromRed(); -}; - -Point.prototype.getY = function getY() { - this.normalize(); - return this.y.fromRed(); -}; - -Point.prototype.eq = function eq(other) { - return this === other || - this.getX().cmp(other.getX()) === 0 && - this.getY().cmp(other.getY()) === 0; -}; - -Point.prototype.eqXToP = function eqXToP(x) { - var rx = x.toRed(this.curve.red).redMul(this.z); - if (this.x.cmp(rx) === 0) - return true; - - var xc = x.clone(); - var t = this.curve.redN.redMul(this.z); - for (;;) { - xc.iadd(this.curve.n); - if (xc.cmp(this.curve.p) >= 0) - return false; - - rx.redIAdd(t); - if (this.x.cmp(rx) === 0) - return true; - } -}; - -// Compatibility with BaseCurve -Point.prototype.toP = Point.prototype.normalize; -Point.prototype.mixedAdd = Point.prototype.add; - - -/***/ }), -/* 22 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var curves = exports; - -var hash = __webpack_require__(7); -var elliptic = __webpack_require__(0); - -var assert = elliptic.utils.assert; - -function PresetCurve(options) { - if (options.type === 'short') - this.curve = new elliptic.curve.short(options); - else if (options.type === 'edwards') - this.curve = new elliptic.curve.edwards(options); - else - this.curve = new elliptic.curve.mont(options); - this.g = this.curve.g; - this.n = this.curve.n; - this.hash = options.hash; - - assert(this.g.validate(), 'Invalid curve'); - assert(this.g.mul(this.n).isInfinity(), 'Invalid curve, G*N != O'); -} -curves.PresetCurve = PresetCurve; - -function defineCurve(name, options) { - Object.defineProperty(curves, name, { - configurable: true, - enumerable: true, - get: function() { - var curve = new PresetCurve(options); - Object.defineProperty(curves, name, { - configurable: true, - enumerable: true, - value: curve - }); - return curve; - } - }); -} - -defineCurve('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: hash.sha256, - gRed: false, - g: [ - '188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012', - '07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811' - ] -}); - -defineCurve('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: hash.sha256, - gRed: false, - g: [ - 'b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21', - 'bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34' - ] -}); - -defineCurve('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: hash.sha256, - gRed: false, - g: [ - '6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296', - '4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5' - ] -}); - -defineCurve('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: hash.sha384, - gRed: false, - 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' - ] -}); - -defineCurve('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: hash.sha512, - gRed: false, - 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' - ] -}); - -defineCurve('curve25519', { - type: 'mont', - prime: 'p25519', - p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', - a: '76d06', - b: '1', - n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', - hash: hash.sha256, - gRed: false, - g: [ - '9' - ] -}); - -defineCurve('ed25519', { - type: 'edwards', - prime: 'p25519', - p: '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed', - a: '-1', - c: '1', - // -121665 * (121666^(-1)) (mod P) - d: '52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3', - n: '1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed', - hash: hash.sha256, - gRed: false, - g: [ - '216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a', - - // 4/5 - '6666666666666666666666666666666666666666666666666666666666666658' - ] -}); - -var pre; -try { - pre = __webpack_require__(29); -} catch (e) { - pre = undefined; -} - -defineCurve('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: hash.sha256, - - // Precomputed endomorphism - beta: '7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee', - lambda: '5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72', - basis: [ - { - a: '3086d221a7d46bcde86c90e49284eb15', - b: '-e4437ed6010e88286f547fa90abfe4c3' - }, - { - a: '114ca50f7a8e2f3f657c1108d9d44cfd8', - b: '3086d221a7d46bcde86c90e49284eb15' - } - ], - - gRed: false, - g: [ - '79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798', - '483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8', - pre - ] -}); - - -/***/ }), -/* 23 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -exports.sha1 = __webpack_require__(24); -exports.sha224 = __webpack_require__(25); -exports.sha256 = __webpack_require__(10); -exports.sha384 = __webpack_require__(26); -exports.sha512 = __webpack_require__(11); - - -/***/ }), -/* 24 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var common = __webpack_require__(4); -var shaCommon = __webpack_require__(9); - -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'); -}; - - -/***/ }), -/* 25 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var SHA256 = __webpack_require__(10); - -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'); -}; - - - -/***/ }), -/* 26 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); - -var SHA512 = __webpack_require__(11); - -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); -module.exports = 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'); -}; - - -/***/ }), -/* 27 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var common = __webpack_require__(4); - -var rotl32 = utils.rotl32; -var sum32 = utils.sum32; -var sum32_3 = utils.sum32_3; -var sum32_4 = utils.sum32_4; -var BlockHash = common.BlockHash; - -function RIPEMD160() { - if (!(this instanceof RIPEMD160)) - return new RIPEMD160(); - - BlockHash.call(this); - - this.h = [ 0x67452301, 0xefcdab89, 0x98badcfe, 0x10325476, 0xc3d2e1f0 ]; - this.endian = 'little'; -} -utils.inherits(RIPEMD160, BlockHash); -exports.ripemd160 = RIPEMD160; - -RIPEMD160.blockSize = 512; -RIPEMD160.outSize = 160; -RIPEMD160.hmacStrength = 192; -RIPEMD160.padLength = 64; - -RIPEMD160.prototype._update = function update(msg, start) { - 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]; - var Ah = A; - var Bh = B; - var Ch = C; - var Dh = D; - var Eh = E; - for (var j = 0; j < 80; j++) { - var T = sum32( - rotl32( - sum32_4(A, f(j, B, C, D), msg[r[j] + start], K(j)), - s[j]), - E); - A = E; - E = D; - D = rotl32(C, 10); - C = B; - B = T; - T = sum32( - rotl32( - sum32_4(Ah, f(79 - j, Bh, Ch, Dh), msg[rh[j] + start], Kh(j)), - sh[j]), - Eh); - Ah = Eh; - Eh = Dh; - Dh = rotl32(Ch, 10); - Ch = Bh; - Bh = T; - } - T = sum32_3(this.h[1], C, Dh); - this.h[1] = sum32_3(this.h[2], D, Eh); - this.h[2] = sum32_3(this.h[3], E, Ah); - this.h[3] = sum32_3(this.h[4], A, Bh); - this.h[4] = sum32_3(this.h[0], B, Ch); - this.h[0] = T; -}; - -RIPEMD160.prototype._digest = function digest(enc) { - if (enc === 'hex') - return utils.toHex32(this.h, 'little'); - else - return utils.split32(this.h, 'little'); -}; - -function f(j, x, y, z) { - if (j <= 15) - return x ^ y ^ z; - else if (j <= 31) - return (x & y) | ((~x) & z); - else if (j <= 47) - return (x | (~y)) ^ z; - else if (j <= 63) - return (x & z) | (y & (~z)); - else - return x ^ (y | (~z)); -} - -function K(j) { - if (j <= 15) - return 0x00000000; - else if (j <= 31) - return 0x5a827999; - else if (j <= 47) - return 0x6ed9eba1; - else if (j <= 63) - return 0x8f1bbcdc; - else - return 0xa953fd4e; -} - -function Kh(j) { - if (j <= 15) - return 0x50a28be6; - else if (j <= 31) - return 0x5c4dd124; - else if (j <= 47) - return 0x6d703ef3; - else if (j <= 63) - return 0x7a6d76e9; - else - return 0x00000000; -} - -var r = [ - 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, - 7, 4, 13, 1, 10, 6, 15, 3, 12, 0, 9, 5, 2, 14, 11, 8, - 3, 10, 14, 4, 9, 15, 8, 1, 2, 7, 0, 6, 13, 11, 5, 12, - 1, 9, 11, 10, 0, 8, 12, 4, 13, 3, 7, 15, 14, 5, 6, 2, - 4, 0, 5, 9, 7, 12, 2, 10, 14, 1, 3, 8, 11, 6, 15, 13 -]; - -var rh = [ - 5, 14, 7, 0, 9, 2, 11, 4, 13, 6, 15, 8, 1, 10, 3, 12, - 6, 11, 3, 7, 0, 13, 5, 10, 14, 15, 8, 12, 4, 9, 1, 2, - 15, 5, 1, 3, 7, 14, 6, 9, 11, 8, 12, 2, 10, 0, 4, 13, - 8, 6, 4, 1, 3, 11, 15, 0, 5, 12, 2, 13, 9, 7, 10, 14, - 12, 15, 10, 4, 1, 5, 8, 7, 6, 2, 13, 14, 0, 3, 9, 11 -]; - -var s = [ - 11, 14, 15, 12, 5, 8, 7, 9, 11, 13, 14, 15, 6, 7, 9, 8, - 7, 6, 8, 13, 11, 9, 7, 15, 7, 12, 15, 9, 11, 7, 13, 12, - 11, 13, 6, 7, 14, 9, 13, 15, 14, 8, 13, 6, 5, 12, 7, 5, - 11, 12, 14, 15, 14, 15, 9, 8, 9, 14, 5, 6, 8, 6, 5, 12, - 9, 15, 5, 11, 6, 8, 13, 12, 5, 12, 13, 14, 11, 8, 5, 6 -]; - -var sh = [ - 8, 9, 9, 11, 13, 15, 15, 5, 7, 7, 8, 11, 14, 14, 12, 6, - 9, 13, 15, 7, 12, 8, 9, 11, 7, 7, 12, 7, 6, 15, 13, 11, - 9, 7, 15, 11, 8, 6, 6, 14, 12, 13, 5, 14, 13, 13, 7, 5, - 15, 5, 8, 11, 14, 14, 6, 14, 6, 9, 12, 9, 12, 5, 15, 8, - 8, 5, 12, 9, 12, 5, 14, 6, 8, 13, 6, 5, 15, 13, 11, 11 -]; - - -/***/ }), -/* 28 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var utils = __webpack_require__(1); -var assert = __webpack_require__(3); - -function Hmac(hash, key, enc) { - if (!(this instanceof Hmac)) - return new Hmac(hash, key, enc); - this.Hash = hash; - this.blockSize = hash.blockSize / 8; - this.outSize = hash.outSize / 8; - this.inner = null; - this.outer = null; - - this._init(utils.toArray(key, enc)); -} -module.exports = Hmac; - -Hmac.prototype._init = function init(key) { - // Shorten key, if needed - if (key.length > this.blockSize) - key = new this.Hash().update(key).digest(); - assert(key.length <= this.blockSize); - - // Add padding to key - for (var i = key.length; i < this.blockSize; i++) - key.push(0); - - for (i = 0; i < key.length; i++) - key[i] ^= 0x36; - this.inner = new this.Hash().update(key); - - // 0x36 ^ 0x5c = 0x6a - for (i = 0; i < key.length; i++) - key[i] ^= 0x6a; - this.outer = new this.Hash().update(key); -}; - -Hmac.prototype.update = function update(msg, enc) { - this.inner.update(msg, enc); - return this; -}; - -Hmac.prototype.digest = function digest(enc) { - this.outer.update(this.inner.digest()); - return this.outer.digest(enc); -}; - - -/***/ }), -/* 29 */ -/***/ (function(module, exports) { - -module.exports = { - doubles: { - step: 4, - points: [ - [ - 'e60fce93b59e9ec53011aabc21c23e97b2a31369b87a5ae9c44ee89e2a6dec0a', - 'f7e3507399e595929db99f34f57937101296891e44d23f0be1f32cce69616821' - ], - [ - '8282263212c609d9ea2a6e3e172de238d8c39cabd5ac1ca10646e23fd5f51508', - '11f8a8098557dfe45e8256e830b60ace62d613ac2f7b17bed31b6eaff6e26caf' - ], - [ - '175e159f728b865a72f99cc6c6fc846de0b93833fd2222ed73fce5b551e5b739', - 'd3506e0d9e3c79eba4ef97a51ff71f5eacb5955add24345c6efa6ffee9fed695' - ], - [ - '363d90d447b00c9c99ceac05b6262ee053441c7e55552ffe526bad8f83ff4640', - '4e273adfc732221953b445397f3363145b9a89008199ecb62003c7f3bee9de9' - ], - [ - '8b4b5f165df3c2be8c6244b5b745638843e4a781a15bcd1b69f79a55dffdf80c', - '4aad0a6f68d308b4b3fbd7813ab0da04f9e336546162ee56b3eff0c65fd4fd36' - ], - [ - '723cbaa6e5db996d6bf771c00bd548c7b700dbffa6c0e77bcb6115925232fcda', - 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-var KeyPair = __webpack_require__(32); -var Signature = __webpack_require__(33); - -function EC(options) { - if (!(this instanceof EC)) - return new EC(options); - - // Shortcut `elliptic.ec(curve-name)` - if (typeof options === 'string') { - assert(elliptic.curves.hasOwnProperty(options), 'Unknown curve ' + options); - - options = elliptic.curves[options]; - } - - // Shortcut for `elliptic.ec(elliptic.curves.curveName)` - if (options instanceof elliptic.curves.PresetCurve) - options = { curve: options }; - - this.curve = options.curve.curve; - this.n = this.curve.n; - this.nh = this.n.ushrn(1); - this.g = this.curve.g; - - // Point on curve - this.g = options.curve.g; - this.g.precompute(options.curve.n.bitLength() + 1); - - // Hash for function for DRBG - this.hash = options.hash || options.curve.hash; -} -module.exports = EC; - -EC.prototype.keyPair = function keyPair(options) { - return new KeyPair(this, options); -}; - -EC.prototype.keyFromPrivate = function keyFromPrivate(priv, enc) { - return KeyPair.fromPrivate(this, priv, enc); -}; - -EC.prototype.keyFromPublic = function keyFromPublic(pub, enc) { - return KeyPair.fromPublic(this, pub, enc); -}; - -EC.prototype.genKeyPair = function genKeyPair(options) { - if (!options) - options = {}; - - // Instantiate Hmac_DRBG - var drbg = new HmacDRBG({ - hash: this.hash, - pers: options.pers, - persEnc: options.persEnc || 'utf8', - entropy: options.entropy || elliptic.rand(this.hash.hmacStrength), - entropyEnc: options.entropy && options.entropyEnc || 'utf8', - nonce: this.n.toArray() - }); - - var bytes = this.n.byteLength(); - var ns2 = this.n.sub(new BN(2)); - do { - var priv = new BN(drbg.generate(bytes)); - if (priv.cmp(ns2) > 0) - continue; - - priv.iaddn(1); - return this.keyFromPrivate(priv); - } while (true); -}; - -EC.prototype._truncateToN = function truncateToN(msg, truncOnly) { - var delta = msg.byteLength() * 8 - this.n.bitLength(); - if (delta > 0) - msg = msg.ushrn(delta); - if (!truncOnly && msg.cmp(this.n) >= 0) - return msg.sub(this.n); - else - return msg; -}; - -EC.prototype.sign = function sign(msg, key, enc, options) { - if (typeof enc === 'object') { - options = enc; - enc = null; - } - if (!options) - options = {}; - - key = this.keyFromPrivate(key, enc); - msg = this._truncateToN(new BN(msg, 16)); - - // Zero-extend key to provide enough entropy - var bytes = this.n.byteLength(); - var bkey = key.getPrivate().toArray('be', bytes); - - // Zero-extend nonce to have the same byte size as N - var nonce = msg.toArray('be', bytes); - - // Instantiate Hmac_DRBG - var drbg = new HmacDRBG({ - hash: this.hash, - entropy: bkey, - nonce: nonce, - pers: options.pers, - persEnc: options.persEnc || 'utf8' - }); - - // Number of bytes to generate - var ns1 = this.n.sub(new BN(1)); - - for (var iter = 0; true; iter++) { - var k = options.k ? - options.k(iter) : - new BN(drbg.generate(this.n.byteLength())); - k = this._truncateToN(k, true); - if (k.cmpn(1) <= 0 || k.cmp(ns1) >= 0) - continue; - - var kp = this.g.mul(k); - if (kp.isInfinity()) - continue; - - var kpX = kp.getX(); - var r = kpX.umod(this.n); - if (r.cmpn(0) === 0) - continue; - - var s = k.invm(this.n).mul(r.mul(key.getPrivate()).iadd(msg)); - s = s.umod(this.n); - if (s.cmpn(0) === 0) - continue; - - var recoveryParam = (kp.getY().isOdd() ? 1 : 0) | - (kpX.cmp(r) !== 0 ? 2 : 0); - - // Use complement of `s`, if it is > `n / 2` - if (options.canonical && s.cmp(this.nh) > 0) { - s = this.n.sub(s); - recoveryParam ^= 1; - } - - return new Signature({ r: r, s: s, recoveryParam: recoveryParam }); - } -}; - -EC.prototype.verify = function verify(msg, signature, key, enc) { - msg = this._truncateToN(new BN(msg, 16)); - key = this.keyFromPublic(key, enc); - signature = new Signature(signature, 'hex'); - - // Perform primitive values validation - var r = signature.r; - var s = signature.s; - if (r.cmpn(1) < 0 || r.cmp(this.n) >= 0) - return false; - if (s.cmpn(1) < 0 || s.cmp(this.n) >= 0) - return false; - - // Validate signature - var sinv = s.invm(this.n); - var u1 = sinv.mul(msg).umod(this.n); - var u2 = sinv.mul(r).umod(this.n); - - if (!this.curve._maxwellTrick) { - var p = this.g.mulAdd(u1, key.getPublic(), u2); - if (p.isInfinity()) - return false; - - return p.getX().umod(this.n).cmp(r) === 0; - } - - // NOTE: Greg Maxwell's trick, inspired by: - // https://git.io/vad3K - - var p = this.g.jmulAdd(u1, key.getPublic(), u2); - if (p.isInfinity()) - return false; - - // Compare `p.x` of Jacobian point with `r`, - // this will do `p.x == r * p.z^2` instead of multiplying `p.x` by the - // inverse of `p.z^2` - return p.eqXToP(r); -}; - -EC.prototype.recoverPubKey = function(msg, signature, j, enc) { - assert((3 & j) === j, 'The recovery param is more than two bits'); - signature = new Signature(signature, enc); - - var n = this.n; - var e = new BN(msg); - var r = signature.r; - var s = signature.s; - - // A set LSB signifies that the y-coordinate is odd - var isYOdd = j & 1; - var isSecondKey = j >> 1; - if (r.cmp(this.curve.p.umod(this.curve.n)) >= 0 && isSecondKey) - throw new Error('Unable to find sencond key candinate'); - - // 1.1. Let x = r + jn. - if (isSecondKey) - r = this.curve.pointFromX(r.add(this.curve.n), isYOdd); - else - r = this.curve.pointFromX(r, isYOdd); - - var rInv = signature.r.invm(n); - var s1 = n.sub(e).mul(rInv).umod(n); - var s2 = s.mul(rInv).umod(n); - - // 1.6.1 Compute Q = r^-1 (sR - eG) - // Q = r^-1 (sR + -eG) - return this.g.mulAdd(s1, r, s2); -}; - -EC.prototype.getKeyRecoveryParam = function(e, signature, Q, enc) { - signature = new Signature(signature, enc); - if (signature.recoveryParam !== null) - return signature.recoveryParam; - - for (var i = 0; i < 4; i++) { - var Qprime; - try { - Qprime = this.recoverPubKey(e, signature, i); - } catch (e) { - continue; - } - - if (Qprime.eq(Q)) - return i; - } - throw new Error('Unable to find valid recovery factor'); -}; - - -/***/ }), -/* 31 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var hash = __webpack_require__(7); -var utils = __webpack_require__(8); -var assert = __webpack_require__(3); - -function HmacDRBG(options) { - if (!(this instanceof HmacDRBG)) - return new HmacDRBG(options); - this.hash = options.hash; - this.predResist = !!options.predResist; - - this.outLen = this.hash.outSize; - this.minEntropy = options.minEntropy || this.hash.hmacStrength; - - this._reseed = null; - this.reseedInterval = null; - this.K = null; - this.V = null; - - var entropy = utils.toArray(options.entropy, options.entropyEnc || 'hex'); - var nonce = utils.toArray(options.nonce, options.nonceEnc || 'hex'); - var pers = utils.toArray(options.pers, options.persEnc || 'hex'); - assert(entropy.length >= (this.minEntropy / 8), - 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); - this._init(entropy, nonce, pers); -} -module.exports = HmacDRBG; - -HmacDRBG.prototype._init = function init(entropy, nonce, pers) { - var seed = entropy.concat(nonce).concat(pers); - - this.K = new Array(this.outLen / 8); - this.V = new Array(this.outLen / 8); - for (var i = 0; i < this.V.length; i++) { - this.K[i] = 0x00; - this.V[i] = 0x01; - } - - this._update(seed); - this._reseed = 1; - this.reseedInterval = 0x1000000000000; // 2^48 -}; - -HmacDRBG.prototype._hmac = function hmac() { - return new hash.hmac(this.hash, this.K); -}; - -HmacDRBG.prototype._update = function update(seed) { - var kmac = this._hmac() - .update(this.V) - .update([ 0x00 ]); - if (seed) - kmac = kmac.update(seed); - this.K = kmac.digest(); - this.V = this._hmac().update(this.V).digest(); - if (!seed) - return; - - this.K = this._hmac() - .update(this.V) - .update([ 0x01 ]) - .update(seed) - .digest(); - this.V = this._hmac().update(this.V).digest(); -}; - -HmacDRBG.prototype.reseed = function reseed(entropy, entropyEnc, add, addEnc) { - // Optional entropy enc - if (typeof entropyEnc !== 'string') { - addEnc = add; - add = entropyEnc; - entropyEnc = null; - } - - entropy = utils.toArray(entropy, entropyEnc); - add = utils.toArray(add, addEnc); - - assert(entropy.length >= (this.minEntropy / 8), - 'Not enough entropy. Minimum is: ' + this.minEntropy + ' bits'); - - this._update(entropy.concat(add || [])); - this._reseed = 1; -}; - -HmacDRBG.prototype.generate = function generate(len, enc, add, addEnc) { - if (this._reseed > this.reseedInterval) - throw new Error('Reseed is required'); - - // Optional encoding - if (typeof enc !== 'string') { - addEnc = add; - add = enc; - enc = null; - } - - // Optional additional data - if (add) { - add = utils.toArray(add, addEnc || 'hex'); - this._update(add); - } - - var temp = []; - while (temp.length < len) { - this.V = this._hmac().update(this.V).digest(); - temp = temp.concat(this.V); - } - - var res = temp.slice(0, len); - this._update(add); - this._reseed++; - return utils.encode(res, enc); -}; - - -/***/ }), -/* 32 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var BN = __webpack_require__(2); -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var assert = utils.assert; - -function KeyPair(ec, options) { - this.ec = ec; - this.priv = null; - this.pub = null; - - // KeyPair(ec, { priv: ..., pub: ... }) - if (options.priv) - this._importPrivate(options.priv, options.privEnc); - if (options.pub) - this._importPublic(options.pub, options.pubEnc); -} -module.exports = KeyPair; - -KeyPair.fromPublic = function fromPublic(ec, pub, enc) { - if (pub instanceof KeyPair) - return pub; - - return new KeyPair(ec, { - pub: pub, - pubEnc: enc - }); -}; - -KeyPair.fromPrivate = function fromPrivate(ec, priv, enc) { - if (priv instanceof KeyPair) - return priv; - - return new KeyPair(ec, { - priv: priv, - privEnc: enc - }); -}; - -KeyPair.prototype.validate = function validate() { - var pub = this.getPublic(); - - if (pub.isInfinity()) - return { result: false, reason: 'Invalid public key' }; - if (!pub.validate()) - return { result: false, reason: 'Public key is not a point' }; - if (!pub.mul(this.ec.curve.n).isInfinity()) - return { result: false, reason: 'Public key * N != O' }; - - return { result: true, reason: null }; -}; - -KeyPair.prototype.getPublic = function getPublic(compact, enc) { - // compact is optional argument - if (typeof compact === 'string') { - enc = compact; - compact = null; - } - - if (!this.pub) - this.pub = this.ec.g.mul(this.priv); - - if (!enc) - return this.pub; - - return this.pub.encode(enc, compact); -}; - -KeyPair.prototype.getPrivate = function getPrivate(enc) { - if (enc === 'hex') - return this.priv.toString(16, 2); - else - return this.priv; -}; - -KeyPair.prototype._importPrivate = function _importPrivate(key, enc) { - this.priv = new BN(key, enc || 16); - - // Ensure that the priv won't be bigger than n, otherwise we may fail - // in fixed multiplication method - this.priv = this.priv.umod(this.ec.curve.n); -}; - -KeyPair.prototype._importPublic = function _importPublic(key, enc) { - if (key.x || key.y) { - // Montgomery points only have an `x` coordinate. - // Weierstrass/Edwards points on the other hand have both `x` and - // `y` coordinates. - if (this.ec.curve.type === 'mont') { - assert(key.x, 'Need x coordinate'); - } else if (this.ec.curve.type === 'short' || - this.ec.curve.type === 'edwards') { - assert(key.x && key.y, 'Need both x and y coordinate'); - } - this.pub = this.ec.curve.point(key.x, key.y); - return; - } - this.pub = this.ec.curve.decodePoint(key, enc); -}; - -// ECDH -KeyPair.prototype.derive = function derive(pub) { - return pub.mul(this.priv).getX(); -}; - -// ECDSA -KeyPair.prototype.sign = function sign(msg, enc, options) { - return this.ec.sign(msg, this, enc, options); -}; - -KeyPair.prototype.verify = function verify(msg, signature) { - return this.ec.verify(msg, signature, this); -}; - -KeyPair.prototype.inspect = function inspect() { - return ''; -}; - - -/***/ }), -/* 33 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var BN = __webpack_require__(2); - -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var assert = utils.assert; - -function Signature(options, enc) { - if (options instanceof Signature) - return options; - - if (this._importDER(options, enc)) - return; - - assert(options.r && options.s, 'Signature without r or s'); - this.r = new BN(options.r, 16); - this.s = new BN(options.s, 16); - if (options.recoveryParam === undefined) - this.recoveryParam = null; - else - this.recoveryParam = options.recoveryParam; -} -module.exports = Signature; - -function Position() { - this.place = 0; -} - -function getLength(buf, p) { - var initial = buf[p.place++]; - if (!(initial & 0x80)) { - return initial; - } - var octetLen = initial & 0xf; - var val = 0; - for (var i = 0, off = p.place; i < octetLen; i++, off++) { - val <<= 8; - val |= buf[off]; - } - p.place = off; - return val; -} - -function rmPadding(buf) { - var i = 0; - var len = buf.length - 1; - while (!buf[i] && !(buf[i + 1] & 0x80) && i < len) { - i++; - } - if (i === 0) { - return buf; - } - return buf.slice(i); -} - -Signature.prototype._importDER = function _importDER(data, enc) { - data = utils.toArray(data, enc); - var p = new Position(); - if (data[p.place++] !== 0x30) { - return false; - } - var len = getLength(data, p); - if ((len + p.place) !== data.length) { - return false; - } - if (data[p.place++] !== 0x02) { - return false; - } - var rlen = getLength(data, p); - 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 (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 (s[0] === 0 && (s[1] & 0x80)) { - s = s.slice(1); - } - - this.r = new BN(r); - this.s = new BN(s); - this.recoveryParam = null; - - return true; -}; - -function constructLength(arr, len) { - if (len < 0x80) { - arr.push(len); - return; - } - var octets = 1 + (Math.log(len) / Math.LN2 >>> 3); - arr.push(octets | 0x80); - while (--octets) { - arr.push((len >>> (octets << 3)) & 0xff); - } - arr.push(len); -} - -Signature.prototype.toDER = function toDER(enc) { - var r = this.r.toArray(); - var s = this.s.toArray(); - - // Pad values - if (r[0] & 0x80) - r = [ 0 ].concat(r); - // Pad values - if (s[0] & 0x80) - s = [ 0 ].concat(s); - - r = rmPadding(r); - s = rmPadding(s); - - while (!s[0] && !(s[1] & 0x80)) { - s = s.slice(1); - } - var arr = [ 0x02 ]; - constructLength(arr, r.length); - arr = arr.concat(r); - arr.push(0x02); - constructLength(arr, s.length); - var backHalf = arr.concat(s); - var res = [ 0x30 ]; - constructLength(res, backHalf.length); - res = res.concat(backHalf); - return utils.encode(res, enc); -}; - - -/***/ }), -/* 34 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var hash = __webpack_require__(7); -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var assert = utils.assert; -var parseBytes = utils.parseBytes; -var KeyPair = __webpack_require__(35); -var Signature = __webpack_require__(36); - -function EDDSA(curve) { - assert(curve === 'ed25519', 'only tested with ed25519 so far'); - - if (!(this instanceof EDDSA)) - return new EDDSA(curve); - - var curve = elliptic.curves[curve].curve; - this.curve = curve; - this.g = curve.g; - this.g.precompute(curve.n.bitLength() + 1); - - this.pointClass = curve.point().constructor; - this.encodingLength = Math.ceil(curve.n.bitLength() / 8); - this.hash = hash.sha512; -} - -module.exports = EDDSA; - -/** -* @param {Array|String} message - message bytes -* @param {Array|String|KeyPair} secret - secret bytes or a keypair -* @returns {Signature} - signature -*/ -EDDSA.prototype.sign = function sign(message, secret) { - message = parseBytes(message); - var key = this.keyFromSecret(secret); - var r = this.hashInt(key.messagePrefix(), message); - var R = this.g.mul(r); - var Rencoded = this.encodePoint(R); - var s_ = this.hashInt(Rencoded, key.pubBytes(), message) - .mul(key.priv()); - var S = r.add(s_).umod(this.curve.n); - return this.makeSignature({ R: R, S: S, Rencoded: Rencoded }); -}; - -/** -* @param {Array} message - message bytes -* @param {Array|String|Signature} sig - sig bytes -* @param {Array|String|Point|KeyPair} pub - public key -* @returns {Boolean} - true if public key matches sig of message -*/ -EDDSA.prototype.verify = function verify(message, sig, pub) { - message = parseBytes(message); - sig = this.makeSignature(sig); - var key = this.keyFromPublic(pub); - var h = this.hashInt(sig.Rencoded(), key.pubBytes(), message); - var SG = this.g.mul(sig.S()); - var RplusAh = sig.R().add(key.pub().mul(h)); - return RplusAh.eq(SG); -}; - -EDDSA.prototype.hashInt = function hashInt() { - var hash = this.hash(); - for (var i = 0; i < arguments.length; i++) - hash.update(arguments[i]); - return utils.intFromLE(hash.digest()).umod(this.curve.n); -}; - -EDDSA.prototype.keyFromPublic = function keyFromPublic(pub) { - return KeyPair.fromPublic(this, pub); -}; - -EDDSA.prototype.keyFromSecret = function keyFromSecret(secret) { - return KeyPair.fromSecret(this, secret); -}; - -EDDSA.prototype.makeSignature = function makeSignature(sig) { - if (sig instanceof Signature) - return sig; - return new Signature(this, sig); -}; - -/** -* * https://tools.ietf.org/html/draft-josefsson-eddsa-ed25519-03#section-5.2 -* -* EDDSA defines methods for encoding and decoding points and integers. These are -* helper convenience methods, that pass along to utility functions implied -* parameters. -* -*/ -EDDSA.prototype.encodePoint = function encodePoint(point) { - var enc = point.getY().toArray('le', this.encodingLength); - enc[this.encodingLength - 1] |= point.getX().isOdd() ? 0x80 : 0; - return enc; -}; - -EDDSA.prototype.decodePoint = function decodePoint(bytes) { - bytes = utils.parseBytes(bytes); - - var lastIx = bytes.length - 1; - var normed = bytes.slice(0, lastIx).concat(bytes[lastIx] & ~0x80); - var xIsOdd = (bytes[lastIx] & 0x80) !== 0; - - var y = utils.intFromLE(normed); - return this.curve.pointFromY(y, xIsOdd); -}; - -EDDSA.prototype.encodeInt = function encodeInt(num) { - return num.toArray('le', this.encodingLength); -}; - -EDDSA.prototype.decodeInt = function decodeInt(bytes) { - return utils.intFromLE(bytes); -}; - -EDDSA.prototype.isPoint = function isPoint(val) { - return val instanceof this.pointClass; -}; - - -/***/ }), -/* 35 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var assert = utils.assert; -var parseBytes = utils.parseBytes; -var cachedProperty = utils.cachedProperty; - -/** -* @param {EDDSA} eddsa - instance -* @param {Object} params - public/private key parameters -* -* @param {Array} [params.secret] - secret seed bytes -* @param {Point} [params.pub] - public key point (aka `A` in eddsa terms) -* @param {Array} [params.pub] - public key point encoded as bytes -* -*/ -function KeyPair(eddsa, params) { - this.eddsa = eddsa; - this._secret = parseBytes(params.secret); - if (eddsa.isPoint(params.pub)) - this._pub = params.pub; - else - this._pubBytes = parseBytes(params.pub); -} - -KeyPair.fromPublic = function fromPublic(eddsa, pub) { - if (pub instanceof KeyPair) - return pub; - return new KeyPair(eddsa, { pub: pub }); -}; - -KeyPair.fromSecret = function fromSecret(eddsa, secret) { - if (secret instanceof KeyPair) - return secret; - return new KeyPair(eddsa, { secret: secret }); -}; - -KeyPair.prototype.secret = function secret() { - return this._secret; -}; - -cachedProperty(KeyPair, 'pubBytes', function pubBytes() { - return this.eddsa.encodePoint(this.pub()); -}); - -cachedProperty(KeyPair, 'pub', function pub() { - if (this._pubBytes) - return this.eddsa.decodePoint(this._pubBytes); - return this.eddsa.g.mul(this.priv()); -}); - -cachedProperty(KeyPair, 'privBytes', function privBytes() { - var eddsa = this.eddsa; - var hash = this.hash(); - var lastIx = eddsa.encodingLength - 1; - - var a = hash.slice(0, eddsa.encodingLength); - a[0] &= 248; - a[lastIx] &= 127; - a[lastIx] |= 64; - - return a; -}); - -cachedProperty(KeyPair, 'priv', function priv() { - return this.eddsa.decodeInt(this.privBytes()); -}); - -cachedProperty(KeyPair, 'hash', function hash() { - return this.eddsa.hash().update(this.secret()).digest(); -}); - -cachedProperty(KeyPair, 'messagePrefix', function messagePrefix() { - return this.hash().slice(this.eddsa.encodingLength); -}); - -KeyPair.prototype.sign = function sign(message) { - assert(this._secret, 'KeyPair can only verify'); - return this.eddsa.sign(message, this); -}; - -KeyPair.prototype.verify = function verify(message, sig) { - return this.eddsa.verify(message, sig, this); -}; - -KeyPair.prototype.getSecret = function getSecret(enc) { - assert(this._secret, 'KeyPair is public only'); - return utils.encode(this.secret(), enc); -}; - -KeyPair.prototype.getPublic = function getPublic(enc) { - return utils.encode(this.pubBytes(), enc); -}; - -module.exports = KeyPair; - - -/***/ }), -/* 36 */ -/***/ (function(module, exports, __webpack_require__) { - -"use strict"; - - -var BN = __webpack_require__(2); -var elliptic = __webpack_require__(0); -var utils = elliptic.utils; -var assert = utils.assert; -var cachedProperty = utils.cachedProperty; -var parseBytes = utils.parseBytes; - -/** -* @param {EDDSA} eddsa - eddsa instance -* @param {Array|Object} sig - -* @param {Array|Point} [sig.R] - R point as Point or bytes -* @param {Array|bn} [sig.S] - S scalar as bn or bytes -* @param {Array} [sig.Rencoded] - R point encoded -* @param {Array} [sig.Sencoded] - S scalar encoded -*/ -function Signature(eddsa, sig) { - this.eddsa = eddsa; - - if (typeof sig !== 'object') - sig = parseBytes(sig); - - if (Array.isArray(sig)) { - sig = { - R: sig.slice(0, eddsa.encodingLength), - S: sig.slice(eddsa.encodingLength) - }; - } - - assert(sig.R && sig.S, 'Signature without R or S'); - - if (eddsa.isPoint(sig.R)) - this._R = sig.R; - if (sig.S instanceof BN) - this._S = sig.S; - - this._Rencoded = Array.isArray(sig.R) ? sig.R : sig.Rencoded; - this._Sencoded = Array.isArray(sig.S) ? sig.S : sig.Sencoded; -} - -cachedProperty(Signature, 'S', function S() { - return this.eddsa.decodeInt(this.Sencoded()); -}); - -cachedProperty(Signature, 'R', function R() { - return this.eddsa.decodePoint(this.Rencoded()); -}); - -cachedProperty(Signature, 'Rencoded', function Rencoded() { - return this.eddsa.encodePoint(this.R()); -}); - -cachedProperty(Signature, 'Sencoded', function Sencoded() { - return this.eddsa.encodeInt(this.S()); -}); - -Signature.prototype.toBytes = function toBytes() { - return this.Rencoded().concat(this.Sencoded()); -}; - -Signature.prototype.toHex = function toHex() { - return utils.encode(this.toBytes(), 'hex').toUpperCase(); -}; - -module.exports = Signature; - - -/***/ }) -/******/ ]); \ No newline at end of file