From e64e2a4caa669dc1e9c1ad7e1ff979a5d9b73847 Mon Sep 17 00:00:00 2001 From: Adrian Li Date: Thu, 7 Nov 2019 19:50:05 +0900 Subject: [PATCH 1/2] upgrade to latest version of bn.js --- package.json | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/package.json b/package.json index 05919b6..7d5e89e 100644 --- a/package.json +++ b/package.json @@ -101,7 +101,7 @@ } }, "dependencies": { - "bn.js": "4.11.6", + "bn.js": "4.11.8", "number-to-bn": "1.7.0" }, "devDependencies": { From 677b8114983e4743c3eefe5982c525360fd9a75c Mon Sep 17 00:00:00 2001 From: Adrian Li Date: Thu, 7 Nov 2019 19:50:43 +0900 Subject: [PATCH 2/2] update build artifacts --- dist/ethjs-unit.js | 12349 +++++++++++++++++++++++++-------------- dist/ethjs-unit.js.map | 2 +- dist/ethjs-unit.min.js | 7 +- 3 files changed, 7922 insertions(+), 4436 deletions(-) diff --git a/dist/ethjs-unit.js b/dist/ethjs-unit.js index e242fed..18599bb 100644 --- a/dist/ethjs-unit.js +++ b/dist/ethjs-unit.js @@ -12,41 +12,41 @@ return /******/ (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; - +/******/ /******/ // Create a new module (and put it into the cache) /******/ var module = installedModules[moduleId] = { /******/ i: moduleId, /******/ l: false, /******/ exports: {} /******/ }; - +/******/ /******/ // Execute the module function /******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__); - +/******/ /******/ // Flag the module as loaded /******/ module.l = true; - +/******/ /******/ // Return the exports of the module /******/ return module.exports; /******/ } - - +/******/ +/******/ /******/ // expose the modules object (__webpack_modules__) /******/ __webpack_require__.m = modules; - +/******/ /******/ // expose the module cache /******/ __webpack_require__.c = installedModules; - +/******/ /******/ // identity function for calling harmory imports with the correct context /******/ __webpack_require__.i = function(value) { return value; }; - +/******/ /******/ // define getter function for harmory exports /******/ __webpack_require__.d = function(exports, name, getter) { /******/ Object.defineProperty(exports, name, { @@ -55,1316 +55,3139 @@ return /******/ (function(modules) { // webpackBootstrap /******/ get: getter /******/ }); /******/ }; - +/******/ /******/ // Object.prototype.hasOwnProperty.call /******/ __webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); }; - +/******/ /******/ // __webpack_public_path__ /******/ __webpack_require__.p = ""; - +/******/ /******/ // Load entry module and return exports -/******/ return __webpack_require__(__webpack_require__.s = 3); +/******/ return __webpack_require__(__webpack_require__.s = 4); /******/ }) /************************************************************************/ /******/ ([ /* 0 */ /***/ function(module, exports, __webpack_require__) { -/* WEBPACK VAR INJECTION */(function(module) {(function (module, exports) { - 'use strict'; +"use strict"; +/* WEBPACK VAR INJECTION */(function(Buffer, global) {/*! + * The buffer module from node.js, for the browser. + * + * @author Feross Aboukhadijeh + * @license MIT + */ +/* eslint-disable no-proto */ - // Utils - function assert (val, msg) { - if (!val) throw new Error(msg || 'Assertion failed'); - } +'use strict' - // 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; - } +var base64 = __webpack_require__(5) +var ieee754 = __webpack_require__(6) +var isArray = __webpack_require__(8) - // BN +exports.Buffer = Buffer +exports.SlowBuffer = SlowBuffer +exports.INSPECT_MAX_BYTES = 50 - function BN (number, base, endian) { - if (BN.isBN(number)) { - return number; - } +/** + * If `Buffer.TYPED_ARRAY_SUPPORT`: + * === true Use Uint8Array implementation (fastest) + * === false Use Object implementation (most compatible, even IE6) + * + * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+, + * Opera 11.6+, iOS 4.2+. + * + * Due to various browser bugs, sometimes the Object implementation will be used even + * when the browser supports typed arrays. + * + * Note: + * + * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances, + * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438. + * + * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function. + * + * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of + * incorrect length in some situations. - this.negative = 0; - this.words = null; - this.length = 0; + * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they + * get the Object implementation, which is slower but behaves correctly. + */ +Buffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined + ? global.TYPED_ARRAY_SUPPORT + : typedArraySupport() - // Reduction context - this.red = null; +/* + * Export kMaxLength after typed array support is determined. + */ +exports.kMaxLength = kMaxLength() - if (number !== null) { - if (base === 'le' || base === 'be') { - endian = base; - base = 10; - } +function typedArraySupport () { + try { + var arr = new Uint8Array(1) + arr.__proto__ = {__proto__: Uint8Array.prototype, foo: function () { return 42 }} + return arr.foo() === 42 && // typed array instances can be augmented + typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray` + arr.subarray(1, 1).byteLength === 0 // ie10 has broken `subarray` + } catch (e) { + return false + } +} - this._init(number || 0, base || 10, endian || 'be'); - } +function kMaxLength () { + return Buffer.TYPED_ARRAY_SUPPORT + ? 0x7fffffff + : 0x3fffffff +} + +function createBuffer (that, length) { + if (kMaxLength() < length) { + throw new RangeError('Invalid typed array length') } - if (typeof module === 'object') { - module.exports = BN; + if (Buffer.TYPED_ARRAY_SUPPORT) { + // Return an augmented `Uint8Array` instance, for best performance + that = new Uint8Array(length) + that.__proto__ = Buffer.prototype } else { - exports.BN = BN; + // Fallback: Return an object instance of the Buffer class + if (that === null) { + that = new Buffer(length) + } + that.length = length } - BN.BN = BN; - BN.wordSize = 26; + return that +} - var Buffer; - try { - Buffer = __webpack_require__(1).Buffer; - } catch (e) { +/** + * The Buffer constructor returns instances of `Uint8Array` that have their + * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of + * `Uint8Array`, so the returned instances will have all the node `Buffer` methods + * and the `Uint8Array` methods. Square bracket notation works as expected -- it + * returns a single octet. + * + * The `Uint8Array` prototype remains unmodified. + */ + +function Buffer (arg, encodingOrOffset, length) { + if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) { + return new Buffer(arg, encodingOrOffset, length) } - BN.isBN = function isBN (num) { - if (num instanceof BN) { - return true; + // Common case. + if (typeof arg === 'number') { + if (typeof encodingOrOffset === 'string') { + throw new Error( + 'If encoding is specified then the first argument must be a string' + ) } + return allocUnsafe(this, arg) + } + return from(this, arg, encodingOrOffset, length) +} - 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; - }; +Buffer.poolSize = 8192 // not used by this implementation - BN.min = function min (left, right) { - if (left.cmp(right) < 0) return left; - return right; - }; +// TODO: Legacy, not needed anymore. Remove in next major version. +Buffer._augment = function (arr) { + arr.__proto__ = Buffer.prototype + return arr +} - BN.prototype._init = function init (number, base, endian) { - if (typeof number === 'number') { - return this._initNumber(number, base, endian); - } +function from (that, value, encodingOrOffset, length) { + if (typeof value === 'number') { + throw new TypeError('"value" argument must not be a number') + } - if (typeof number === 'object') { - return this._initArray(number, base, endian); - } + if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) { + return fromArrayBuffer(that, value, encodingOrOffset, length) + } - if (base === 'hex') { - base = 16; - } - assert(base === (base | 0) && base >= 2 && base <= 36); + if (typeof value === 'string') { + return fromString(that, value, encodingOrOffset) + } - number = number.toString().replace(/\s+/g, ''); - var start = 0; - if (number[0] === '-') { - start++; - } + return fromObject(that, value) +} - if (base === 16) { - this._parseHex(number, start); - } else { - this._parseBase(number, base, start); - } +/** + * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError + * if value is a number. + * Buffer.from(str[, encoding]) + * Buffer.from(array) + * Buffer.from(buffer) + * Buffer.from(arrayBuffer[, byteOffset[, length]]) + **/ +Buffer.from = function (value, encodingOrOffset, length) { + return from(null, value, encodingOrOffset, length) +} - if (number[0] === '-') { - this.negative = 1; - } +if (Buffer.TYPED_ARRAY_SUPPORT) { + Buffer.prototype.__proto__ = Uint8Array.prototype + Buffer.__proto__ = Uint8Array + if (typeof Symbol !== 'undefined' && Symbol.species && + Buffer[Symbol.species] === Buffer) { + // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97 + Object.defineProperty(Buffer, Symbol.species, { + value: null, + configurable: true + }) + } +} - this.strip(); +function assertSize (size) { + if (typeof size !== 'number') { + throw new TypeError('"size" argument must be a number') + } else if (size < 0) { + throw new RangeError('"size" argument must not be negative') + } +} - if (endian !== 'le') return; +function alloc (that, size, fill, encoding) { + assertSize(size) + if (size <= 0) { + return createBuffer(that, size) + } + if (fill !== undefined) { + // Only pay attention to encoding if it's a string. This + // prevents accidentally sending in a number that would + // be interpretted as a start offset. + return typeof encoding === 'string' + ? createBuffer(that, size).fill(fill, encoding) + : createBuffer(that, size).fill(fill) + } + return createBuffer(that, size) +} - this._initArray(this.toArray(), base, endian); - }; +/** + * Creates a new filled Buffer instance. + * alloc(size[, fill[, encoding]]) + **/ +Buffer.alloc = function (size, fill, encoding) { + return alloc(null, size, fill, encoding) +} - 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; +function allocUnsafe (that, size) { + assertSize(size) + that = createBuffer(that, size < 0 ? 0 : checked(size) | 0) + if (!Buffer.TYPED_ARRAY_SUPPORT) { + for (var i = 0; i < size; ++i) { + that[i] = 0 } + } + return that +} - if (endian !== 'le') return; +/** + * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance. + * */ +Buffer.allocUnsafe = function (size) { + return allocUnsafe(null, size) +} +/** + * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance. + */ +Buffer.allocUnsafeSlow = function (size) { + return allocUnsafe(null, size) +} - // Reverse the bytes - this._initArray(this.toArray(), base, endian); - }; +function fromString (that, string, encoding) { + if (typeof encoding !== 'string' || encoding === '') { + encoding = 'utf8' + } - 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; - } + if (!Buffer.isEncoding(encoding)) { + throw new TypeError('"encoding" must be a valid string encoding') + } - 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 length = byteLength(string, encoding) | 0 + that = createBuffer(that, length) - 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(); - }; + var actual = that.write(string, encoding) - 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; + if (actual !== length) { + // Writing a hex string, for example, that contains invalid characters will + // cause everything after the first invalid character to be ignored. (e.g. + // 'abxxcd' will be treated as 'ab') + that = that.slice(0, actual) + } - r <<= 4; + return that +} - // 'a' - 'f' - if (c >= 49 && c <= 54) { - r |= c - 49 + 0xa; +function fromArrayLike (that, array) { + var length = array.length < 0 ? 0 : checked(array.length) | 0 + that = createBuffer(that, length) + for (var i = 0; i < length; i += 1) { + that[i] = array[i] & 255 + } + return that +} - // 'A' - 'F' - } else if (c >= 17 && c <= 22) { - r |= c - 17 + 0xa; +function fromArrayBuffer (that, array, byteOffset, length) { + array.byteLength // this throws if `array` is not a valid ArrayBuffer - // '0' - '9' - } else { - r |= c & 0xf; - } - } - return r; + if (byteOffset < 0 || array.byteLength < byteOffset) { + throw new RangeError('\'offset\' is out of bounds') } - 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; - } + if (array.byteLength < byteOffset + (length || 0)) { + throw new RangeError('\'length\' is out of bounds') + } - 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(); - }; + if (byteOffset === undefined && length === undefined) { + array = new Uint8Array(array) + } else if (length === undefined) { + array = new Uint8Array(array, byteOffset) + } else { + array = new Uint8Array(array, byteOffset, length) + } - 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; + if (Buffer.TYPED_ARRAY_SUPPORT) { + // Return an augmented `Uint8Array` instance, for best performance + that = array + that.__proto__ = Buffer.prototype + } else { + // Fallback: Return an object instance of the Buffer class + that = fromArrayLike(that, array) + } + return that +} - r *= mul; +function fromObject (that, obj) { + if (Buffer.isBuffer(obj)) { + var len = checked(obj.length) | 0 + that = createBuffer(that, len) - // 'a' - if (c >= 49) { - r += c - 49 + 0xa; + if (that.length === 0) { + return that + } - // 'A' - } else if (c >= 17) { - r += c - 17 + 0xa; + obj.copy(that, 0, 0, len) + return that + } - // '0' - '9' - } else { - r += c; + if (obj) { + if ((typeof ArrayBuffer !== 'undefined' && + obj.buffer instanceof ArrayBuffer) || 'length' in obj) { + if (typeof obj.length !== 'number' || isnan(obj.length)) { + return createBuffer(that, 0) } + return fromArrayLike(that, obj) } - 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++; + if (obj.type === 'Buffer' && isArray(obj.data)) { + return fromArrayLike(that, obj.data) } - limbLen--; - limbPow = (limbPow / base) | 0; + } - var total = number.length - start; - var mod = total % limbLen; - var end = Math.min(total, total - mod) + start; + throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.') +} - var word = 0; - for (var i = start; i < end; i += limbLen) { - word = parseBase(number, i, i + limbLen, base); +function checked (length) { + // Note: cannot use `length < kMaxLength()` here because that fails when + // length is NaN (which is otherwise coerced to zero.) + if (length >= kMaxLength()) { + throw new RangeError('Attempt to allocate Buffer larger than maximum ' + + 'size: 0x' + kMaxLength().toString(16) + ' bytes') + } + return length | 0 +} - this.imuln(limbPow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } +function SlowBuffer (length) { + if (+length != length) { // eslint-disable-line eqeqeq + length = 0 + } + return Buffer.alloc(+length) +} - if (mod !== 0) { - var pow = 1; - word = parseBase(number, i, number.length, base); +Buffer.isBuffer = function isBuffer (b) { + return !!(b != null && b._isBuffer) +} - for (i = 0; i < mod; i++) { - pow *= base; - } +Buffer.compare = function compare (a, b) { + if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) { + throw new TypeError('Arguments must be Buffers') + } - this.imuln(pow); - if (this.words[0] + word < 0x4000000) { - this.words[0] += word; - } else { - this._iaddn(word); - } - } - }; + if (a === b) return 0 - 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]; + var x = a.length + var y = b.length + + for (var i = 0, len = Math.min(x, y); i < len; ++i) { + if (a[i] !== b[i]) { + x = a[i] + y = b[i] + break } - 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; - }; + if (x < y) return -1 + if (y < x) return 1 + return 0 +} - BN.prototype._expand = function _expand (size) { - while (this.length < size) { - this.words[this.length++] = 0; +Buffer.isEncoding = function isEncoding (encoding) { + switch (String(encoding).toLowerCase()) { + case 'hex': + case 'utf8': + case 'utf-8': + case 'ascii': + case 'latin1': + case 'binary': + case 'base64': + case 'ucs2': + case 'ucs-2': + case 'utf16le': + case 'utf-16le': + return true + default: + return false + } +} + +Buffer.concat = function concat (list, length) { + if (!isArray(list)) { + throw new TypeError('"list" argument must be an Array of Buffers') + } + + if (list.length === 0) { + return Buffer.alloc(0) + } + + var i + if (length === undefined) { + length = 0 + for (i = 0; i < list.length; ++i) { + length += list[i].length } - return this; - }; + } - // Remove leading `0` from `this` - BN.prototype.strip = function strip () { - while (this.length > 1 && this.words[this.length - 1] === 0) { - this.length--; + var buffer = Buffer.allocUnsafe(length) + var pos = 0 + for (i = 0; i < list.length; ++i) { + var buf = list[i] + if (!Buffer.isBuffer(buf)) { + throw new TypeError('"list" argument must be an Array of Buffers') } - return this._normSign(); - }; + buf.copy(buffer, pos) + pos += buf.length + } + return buffer +} - BN.prototype._normSign = function _normSign () { - // -0 = 0 - if (this.length === 1 && this.words[0] === 0) { - this.negative = 0; +function byteLength (string, encoding) { + if (Buffer.isBuffer(string)) { + return string.length + } + if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' && + (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) { + return string.byteLength + } + if (typeof string !== 'string') { + string = '' + string + } + + var len = string.length + if (len === 0) return 0 + + // Use a for loop to avoid recursion + var loweredCase = false + for (;;) { + switch (encoding) { + case 'ascii': + case 'latin1': + case 'binary': + return len + case 'utf8': + case 'utf-8': + case undefined: + return utf8ToBytes(string).length + case 'ucs2': + case 'ucs-2': + case 'utf16le': + case 'utf-16le': + return len * 2 + case 'hex': + return len >>> 1 + case 'base64': + return base64ToBytes(string).length + default: + if (loweredCase) return utf8ToBytes(string).length // assume utf8 + encoding = ('' + encoding).toLowerCase() + loweredCase = true } - return this; - }; + } +} +Buffer.byteLength = byteLength - BN.prototype.inspect = function inspect () { - return (this.red ? ''; - }; +function slowToString (encoding, start, end) { + var loweredCase = false - /* + // No need to verify that "this.length <= MAX_UINT32" since it's a read-only + // property of a typed array. - var zeros = []; - var groupSizes = []; - var groupBases = []; + // This behaves neither like String nor Uint8Array in that we set start/end + // to their upper/lower bounds if the value passed is out of range. + // undefined is handled specially as per ECMA-262 6th Edition, + // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization. + if (start === undefined || start < 0) { + start = 0 + } + // Return early if start > this.length. Done here to prevent potential uint32 + // coercion fail below. + if (start > this.length) { + return '' + } - var s = ''; - var i = -1; - while (++i < BN.wordSize) { - zeros[i] = s; - s += '0'; + if (end === undefined || end > this.length) { + end = this.length } - 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; + + if (end <= 0) { + return '' } - */ + // Force coersion to uint32. This will also coerce falsey/NaN values to 0. + end >>>= 0 + start >>>= 0 - 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' - ]; + if (end <= start) { + return '' + } - 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 - ]; + if (!encoding) encoding = 'utf8' - 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 - ]; + while (true) { + switch (encoding) { + case 'hex': + return hexSlice(this, start, end) - BN.prototype.toString = function toString (base, padding) { - base = base || 10; - padding = padding | 0 || 1; + case 'utf8': + case 'utf-8': + return utf8Slice(this, start, end) - 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; - } + case 'ascii': + return asciiSlice(this, start, end) - 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); + case 'latin1': + case 'binary': + return latin1Slice(this, start, end) - 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; - } + case 'base64': + return base64Slice(this, start, end) - assert(false, 'Base should be between 2 and 36'); - }; + case 'ucs2': + case 'ucs-2': + case 'utf16le': + case 'utf-16le': + return utf16leSlice(this, start, end) - 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'); + default: + if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding) + encoding = (encoding + '').toLowerCase() + loweredCase = true } - 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); - }; +// The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect +// Buffer instances. +Buffer.prototype._isBuffer = true - BN.prototype.toArray = function toArray (endian, length) { - return this.toArrayLike(Array, endian, length); - }; +function swap (b, n, m) { + var i = b[n] + b[n] = b[m] + b[m] = i +} - 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'); +Buffer.prototype.swap16 = function swap16 () { + var len = this.length + if (len % 2 !== 0) { + throw new RangeError('Buffer size must be a multiple of 16-bits') + } + for (var i = 0; i < len; i += 2) { + swap(this, i, i + 1) + } + return this +} - this.strip(); - var littleEndian = endian === 'le'; - var res = new ArrayType(reqLength); +Buffer.prototype.swap32 = function swap32 () { + var len = this.length + if (len % 4 !== 0) { + throw new RangeError('Buffer size must be a multiple of 32-bits') + } + for (var i = 0; i < len; i += 4) { + swap(this, i, i + 3) + swap(this, i + 1, i + 2) + } + return this +} - var b, i; - var q = this.clone(); - if (!littleEndian) { - // Assume big-endian - for (i = 0; i < reqLength - byteLength; i++) { - res[i] = 0; - } +Buffer.prototype.swap64 = function swap64 () { + var len = this.length + if (len % 8 !== 0) { + throw new RangeError('Buffer size must be a multiple of 64-bits') + } + for (var i = 0; i < len; i += 8) { + swap(this, i, i + 7) + swap(this, i + 1, i + 6) + swap(this, i + 2, i + 5) + swap(this, i + 3, i + 4) + } + return this +} - for (i = 0; !q.isZero(); i++) { - b = q.andln(0xff); - q.iushrn(8); +Buffer.prototype.toString = function toString () { + var length = this.length | 0 + if (length === 0) return '' + if (arguments.length === 0) return utf8Slice(this, 0, length) + return slowToString.apply(this, arguments) +} - res[reqLength - i - 1] = b; - } - } else { - for (i = 0; !q.isZero(); i++) { - b = q.andln(0xff); - q.iushrn(8); +Buffer.prototype.equals = function equals (b) { + if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer') + if (this === b) return true + return Buffer.compare(this, b) === 0 +} - res[i] = b; - } +Buffer.prototype.inspect = function inspect () { + var str = '' + var max = exports.INSPECT_MAX_BYTES + if (this.length > 0) { + str = this.toString('hex', 0, max).match(/.{2}/g).join(' ') + if (this.length > max) str += ' ... ' + } + return '' +} - for (; i < reqLength; i++) { - res[i] = 0; - } - } +Buffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) { + if (!Buffer.isBuffer(target)) { + throw new TypeError('Argument must be a Buffer') + } - return res; - }; + if (start === undefined) { + start = 0 + } + if (end === undefined) { + end = target ? target.length : 0 + } + if (thisStart === undefined) { + thisStart = 0 + } + if (thisEnd === undefined) { + thisEnd = this.length + } - 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; - }; + if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) { + throw new RangeError('out of range index') } - BN.prototype._zeroBits = function _zeroBits (w) { - // Short-cut - if (w === 0) return 26; + if (thisStart >= thisEnd && start >= end) { + return 0 + } + if (thisStart >= thisEnd) { + return -1 + } + if (start >= end) { + return 1 + } - 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; - }; + start >>>= 0 + end >>>= 0 + thisStart >>>= 0 + thisEnd >>>= 0 - // 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; - }; + if (this === target) return 0 - function toBitArray (num) { - var w = new Array(num.bitLength()); + var x = thisEnd - thisStart + var y = end - start + var len = Math.min(x, y) - for (var bit = 0; bit < w.length; bit++) { - var off = (bit / 26) | 0; - var wbit = bit % 26; + var thisCopy = this.slice(thisStart, thisEnd) + var targetCopy = target.slice(start, end) - w[bit] = (num.words[off] & (1 << wbit)) >>> wbit; + for (var i = 0; i < len; ++i) { + if (thisCopy[i] !== targetCopy[i]) { + x = thisCopy[i] + y = targetCopy[i] + break } - - 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(); - }; + if (x < y) return -1 + if (y < x) return 1 + return 0 +} - BN.prototype.isNeg = function isNeg () { - return this.negative !== 0; - }; +// Finds either the first index of `val` in `buffer` at offset >= `byteOffset`, +// OR the last index of `val` in `buffer` at offset <= `byteOffset`. +// +// Arguments: +// - buffer - a Buffer to search +// - val - a string, Buffer, or number +// - byteOffset - an index into `buffer`; will be clamped to an int32 +// - encoding - an optional encoding, relevant is val is a string +// - dir - true for indexOf, false for lastIndexOf +function bidirectionalIndexOf (buffer, val, byteOffset, encoding, dir) { + // Empty buffer means no match + if (buffer.length === 0) return -1 - // Return negative clone of `this` - BN.prototype.neg = function neg () { - return this.clone().ineg(); - }; + // Normalize byteOffset + if (typeof byteOffset === 'string') { + encoding = byteOffset + byteOffset = 0 + } else if (byteOffset > 0x7fffffff) { + byteOffset = 0x7fffffff + } else if (byteOffset < -0x80000000) { + byteOffset = -0x80000000 + } + byteOffset = +byteOffset // Coerce to Number. + if (isNaN(byteOffset)) { + // byteOffset: it it's undefined, null, NaN, "foo", etc, search whole buffer + byteOffset = dir ? 0 : (buffer.length - 1) + } - BN.prototype.ineg = function ineg () { - if (!this.isZero()) { - this.negative ^= 1; - } + // Normalize byteOffset: negative offsets start from the end of the buffer + if (byteOffset < 0) byteOffset = buffer.length + byteOffset + if (byteOffset >= buffer.length) { + if (dir) return -1 + else byteOffset = buffer.length - 1 + } else if (byteOffset < 0) { + if (dir) byteOffset = 0 + else return -1 + } - return this; - }; + // Normalize val + if (typeof val === 'string') { + val = Buffer.from(val, encoding) + } - // Or `num` with `this` in-place - BN.prototype.iuor = function iuor (num) { - while (this.length < num.length) { - this.words[this.length++] = 0; + // Finally, search either indexOf (if dir is true) or lastIndexOf + if (Buffer.isBuffer(val)) { + // Special case: looking for empty string/buffer always fails + if (val.length === 0) { + return -1 } - - for (var i = 0; i < num.length; i++) { - this.words[i] = this.words[i] | num.words[i]; + return arrayIndexOf(buffer, val, byteOffset, encoding, dir) + } else if (typeof val === 'number') { + val = val & 0xFF // Search for a byte value [0-255] + if (Buffer.TYPED_ARRAY_SUPPORT && + typeof Uint8Array.prototype.indexOf === 'function') { + if (dir) { + return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset) + } else { + return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset) + } } + return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir) + } - return this.strip(); - }; - - BN.prototype.ior = function ior (num) { - assert((this.negative | num.negative) === 0); - return this.iuor(num); - }; + throw new TypeError('val must be string, number or Buffer') +} - // 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); - }; +function arrayIndexOf (arr, val, byteOffset, encoding, dir) { + var indexSize = 1 + var arrLength = arr.length + var valLength = val.length - BN.prototype.uor = function uor (num) { - if (this.length > num.length) return this.clone().iuor(num); - return num.clone().iuor(this); - }; + if (encoding !== undefined) { + encoding = String(encoding).toLowerCase() + if (encoding === 'ucs2' || encoding === 'ucs-2' || + encoding === 'utf16le' || encoding === 'utf-16le') { + if (arr.length < 2 || val.length < 2) { + return -1 + } + indexSize = 2 + arrLength /= 2 + valLength /= 2 + byteOffset /= 2 + } + } - // 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; + function read (buf, i) { + if (indexSize === 1) { + return buf[i] } else { - b = this; + return buf.readUInt16BE(i * indexSize) } + } - for (var i = 0; i < b.length; i++) { - this.words[i] = this.words[i] & num.words[i]; + var i + if (dir) { + var foundIndex = -1 + for (i = byteOffset; i < arrLength; i++) { + if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) { + if (foundIndex === -1) foundIndex = i + if (i - foundIndex + 1 === valLength) return foundIndex * indexSize + } else { + if (foundIndex !== -1) i -= i - foundIndex + foundIndex = -1 + } + } + } else { + if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength + for (i = byteOffset; i >= 0; i--) { + var found = true + for (var j = 0; j < valLength; j++) { + if (read(arr, i + j) !== read(val, j)) { + found = false + break + } + } + if (found) return i } + } - this.length = b.length; + return -1 +} - return this.strip(); - }; +Buffer.prototype.includes = function includes (val, byteOffset, encoding) { + return this.indexOf(val, byteOffset, encoding) !== -1 +} - 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); - }; +Buffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) { + return bidirectionalIndexOf(this, val, byteOffset, encoding, true) +} - // 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; - } +Buffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) { + return bidirectionalIndexOf(this, val, byteOffset, encoding, false) +} - for (var i = 0; i < b.length; i++) { - this.words[i] = a.words[i] ^ b.words[i]; +function hexWrite (buf, string, offset, length) { + offset = Number(offset) || 0 + var remaining = buf.length - offset + if (!length) { + length = remaining + } else { + length = Number(length) + if (length > remaining) { + length = remaining } + } - if (this !== a) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } + // must be an even number of digits + var strLen = string.length + if (strLen % 2 !== 0) throw new TypeError('Invalid hex string') - this.length = a.length; + if (length > strLen / 2) { + length = strLen / 2 + } + for (var i = 0; i < length; ++i) { + var parsed = parseInt(string.substr(i * 2, 2), 16) + if (isNaN(parsed)) return i + buf[offset + i] = parsed + } + return i +} - return this.strip(); - }; +function utf8Write (buf, string, offset, length) { + return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length) +} - BN.prototype.ixor = function ixor (num) { - assert((this.negative | num.negative) === 0); - return this.iuxor(num); - }; +function asciiWrite (buf, string, offset, length) { + return blitBuffer(asciiToBytes(string), buf, offset, length) +} - // 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); - }; +function latin1Write (buf, string, offset, length) { + return asciiWrite(buf, string, offset, length) +} - BN.prototype.uxor = function uxor (num) { - if (this.length > num.length) return this.clone().iuxor(num); - return num.clone().iuxor(this); - }; +function base64Write (buf, string, offset, length) { + return blitBuffer(base64ToBytes(string), buf, offset, length) +} - // Not ``this`` with ``width`` bitwidth - BN.prototype.inotn = function inotn (width) { - assert(typeof width === 'number' && width >= 0); +function ucs2Write (buf, string, offset, length) { + return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length) +} - var bytesNeeded = Math.ceil(width / 26) | 0; - var bitsLeft = width % 26; +Buffer.prototype.write = function write (string, offset, length, encoding) { + // Buffer#write(string) + if (offset === undefined) { + encoding = 'utf8' + length = this.length + offset = 0 + // Buffer#write(string, encoding) + } else if (length === undefined && typeof offset === 'string') { + encoding = offset + length = this.length + offset = 0 + // Buffer#write(string, offset[, length][, encoding]) + } else if (isFinite(offset)) { + offset = offset | 0 + if (isFinite(length)) { + length = length | 0 + if (encoding === undefined) encoding = 'utf8' + } else { + encoding = length + length = undefined + } + // legacy write(string, encoding, offset, length) - remove in v0.13 + } else { + throw new Error( + 'Buffer.write(string, encoding, offset[, length]) is no longer supported' + ) + } - // Extend the buffer with leading zeroes - this._expand(bytesNeeded); + var remaining = this.length - offset + if (length === undefined || length > remaining) length = remaining - if (bitsLeft > 0) { - bytesNeeded--; - } + if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) { + throw new RangeError('Attempt to write outside buffer bounds') + } - // Handle complete words - for (var i = 0; i < bytesNeeded; i++) { - this.words[i] = ~this.words[i] & 0x3ffffff; - } + if (!encoding) encoding = 'utf8' - // Handle the residue - if (bitsLeft > 0) { - this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); - } + var loweredCase = false + for (;;) { + switch (encoding) { + case 'hex': + return hexWrite(this, string, offset, length) - // And remove leading zeroes - return this.strip(); - }; + case 'utf8': + case 'utf-8': + return utf8Write(this, string, offset, length) - BN.prototype.notn = function notn (width) { - return this.clone().inotn(width); - }; + case 'ascii': + return asciiWrite(this, string, offset, length) - // Set `bit` of `this` - BN.prototype.setn = function setn (bit, val) { - assert(typeof bit === 'number' && bit >= 0); + case 'latin1': + case 'binary': + return latin1Write(this, string, offset, length) - var off = (bit / 26) | 0; - var wbit = bit % 26; + case 'base64': + // Warning: maxLength not taken into account in base64Write + return base64Write(this, string, offset, length) - this._expand(off + 1); + case 'ucs2': + case 'ucs-2': + case 'utf16le': + case 'utf-16le': + return ucs2Write(this, string, offset, length) - if (val) { - this.words[off] = this.words[off] | (1 << wbit); - } else { - this.words[off] = this.words[off] & ~(1 << wbit); + default: + if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding) + encoding = ('' + encoding).toLowerCase() + loweredCase = true } + } +} - return this.strip(); - }; - - // Add `num` to `this` in-place - BN.prototype.iadd = function iadd (num) { - var r; +Buffer.prototype.toJSON = function toJSON () { + return { + type: 'Buffer', + data: Array.prototype.slice.call(this._arr || this, 0) + } +} - // negative + positive - if (this.negative !== 0 && num.negative === 0) { - this.negative = 0; - r = this.isub(num); - this.negative ^= 1; - return this._normSign(); +function base64Slice (buf, start, end) { + if (start === 0 && end === buf.length) { + return base64.fromByteArray(buf) + } else { + return base64.fromByteArray(buf.slice(start, end)) + } +} - // positive + negative - } else if (this.negative === 0 && num.negative !== 0) { - num.negative = 0; - r = this.isub(num); - num.negative = 1; - return r._normSign(); - } +function utf8Slice (buf, start, end) { + end = Math.min(buf.length, end) + var res = [] - // a.length > b.length - var a, b; - if (this.length > num.length) { - a = this; - b = num; - } else { - a = num; - b = this; - } + var i = start + while (i < end) { + var firstByte = buf[i] + var codePoint = null + var bytesPerSequence = (firstByte > 0xEF) ? 4 + : (firstByte > 0xDF) ? 3 + : (firstByte > 0xBF) ? 2 + : 1 - 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; - } + if (i + bytesPerSequence <= end) { + var secondByte, thirdByte, fourthByte, tempCodePoint - 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]; + switch (bytesPerSequence) { + case 1: + if (firstByte < 0x80) { + codePoint = firstByte + } + break + case 2: + secondByte = buf[i + 1] + if ((secondByte & 0xC0) === 0x80) { + tempCodePoint = (firstByte & 0x1F) << 0x6 | (secondByte & 0x3F) + if (tempCodePoint > 0x7F) { + codePoint = tempCodePoint + } + } + break + case 3: + secondByte = buf[i + 1] + thirdByte = buf[i + 2] + if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) { + tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | (thirdByte & 0x3F) + if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) { + codePoint = tempCodePoint + } + } + break + case 4: + secondByte = buf[i + 1] + thirdByte = buf[i + 2] + fourthByte = buf[i + 3] + if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) { + tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | (fourthByte & 0x3F) + if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) { + codePoint = tempCodePoint + } + } } } - 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 (codePoint === null) { + // we did not generate a valid codePoint so insert a + // replacement char (U+FFFD) and advance only 1 byte + codePoint = 0xFFFD + bytesPerSequence = 1 + } else if (codePoint > 0xFFFF) { + // encode to utf16 (surrogate pair dance) + codePoint -= 0x10000 + res.push(codePoint >>> 10 & 0x3FF | 0xD800) + codePoint = 0xDC00 | codePoint & 0x3FF } - if (this.length > num.length) return this.clone().iadd(num); + res.push(codePoint) + i += bytesPerSequence + } - return num.clone().iadd(this); - }; + return decodeCodePointsArray(res) +} - // 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(); +// Based on http://stackoverflow.com/a/22747272/680742, the browser with +// the lowest limit is Chrome, with 0x10000 args. +// We go 1 magnitude less, for safety +var MAX_ARGUMENTS_LENGTH = 0x1000 - // -this - num = -(this + num) - } else if (this.negative !== 0) { - this.negative = 0; - this.iadd(num); - this.negative = 1; - return this._normSign(); - } +function decodeCodePointsArray (codePoints) { + var len = codePoints.length + if (len <= MAX_ARGUMENTS_LENGTH) { + return String.fromCharCode.apply(String, codePoints) // avoid extra slice() + } - // At this point both numbers are positive - var cmp = this.cmp(num); + // Decode in chunks to avoid "call stack size exceeded". + var res = '' + var i = 0 + while (i < len) { + res += String.fromCharCode.apply( + String, + codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH) + ) + } + return res +} - // Optimization - zeroify - if (cmp === 0) { - this.negative = 0; - this.length = 1; - this.words[0] = 0; - return this; - } +function asciiSlice (buf, start, end) { + var ret = '' + end = Math.min(buf.length, end) - // a > b - var a, b; - if (cmp > 0) { - a = this; - b = num; - } else { - a = num; - b = this; - } + for (var i = start; i < end; ++i) { + ret += String.fromCharCode(buf[i] & 0x7F) + } + return ret +} - 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; - } +function latin1Slice (buf, start, end) { + var ret = '' + end = Math.min(buf.length, end) - // Copy rest of the words - if (carry === 0 && i < a.length && a !== this) { - for (; i < a.length; i++) { - this.words[i] = a.words[i]; - } - } + for (var i = start; i < end; ++i) { + ret += String.fromCharCode(buf[i]) + } + return ret +} - this.length = Math.max(this.length, i); +function hexSlice (buf, start, end) { + var len = buf.length - if (a !== this) { - this.negative = 1; - } + if (!start || start < 0) start = 0 + if (!end || end < 0 || end > len) end = len - return this.strip(); - }; + var out = '' + for (var i = start; i < end; ++i) { + out += toHex(buf[i]) + } + return out +} - // Subtract `num` from `this` - BN.prototype.sub = function sub (num) { - return this.clone().isub(num); - }; +function utf16leSlice (buf, start, end) { + var bytes = buf.slice(start, end) + var res = '' + for (var i = 0; i < bytes.length; i += 2) { + res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256) + } + return res +} - 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; +Buffer.prototype.slice = function slice (start, end) { + var len = this.length + start = ~~start + end = end === undefined ? len : ~~end - // 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; + if (start < 0) { + start += len + if (start < 0) start = 0 + } else if (start > len) { + start = len + } - var lo = r & 0x3ffffff; - var carry = (r / 0x4000000) | 0; - out.words[0] = lo; + if (end < 0) { + end += len + if (end < 0) end = 0 + } else if (end > len) { + end = len + } - 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--; - } + if (end < start) end = start - return out.strip(); + var newBuf + if (Buffer.TYPED_ARRAY_SUPPORT) { + newBuf = this.subarray(start, end) + newBuf.__proto__ = Buffer.prototype + } else { + var sliceLen = end - start + newBuf = new Buffer(sliceLen, undefined) + for (var i = 0; i < sliceLen; ++i) { + newBuf[i] = this[i + start] + } } - // 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; + return newBuf +} - 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; +/* + * Need to make sure that buffer isn't trying to write out of bounds. + */ +function checkOffset (offset, ext, length) { + if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint') + if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length') +} + +Buffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) { + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) checkOffset(offset, byteLength, this.length) + + var val = this[offset] + var mul = 1 + var i = 0 + while (++i < byteLength && (mul *= 0x100)) { + val += this[offset + i] * mul + } + + return val +} + +Buffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) { + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) { + checkOffset(offset, byteLength, this.length) + } + + var val = this[offset + --byteLength] + var mul = 1 + while (byteLength > 0 && (mul *= 0x100)) { + val += this[offset + --byteLength] * mul + } + + return val +} + +Buffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) { + if (!noAssert) checkOffset(offset, 1, this.length) + return this[offset] +} + +Buffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 2, this.length) + return this[offset] | (this[offset + 1] << 8) +} + +Buffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 2, this.length) + return (this[offset] << 8) | this[offset + 1] +} + +Buffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + + return ((this[offset]) | + (this[offset + 1] << 8) | + (this[offset + 2] << 16)) + + (this[offset + 3] * 0x1000000) +} + +Buffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + + return (this[offset] * 0x1000000) + + ((this[offset + 1] << 16) | + (this[offset + 2] << 8) | + this[offset + 3]) +} + +Buffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) { + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) checkOffset(offset, byteLength, this.length) + + var val = this[offset] + var mul = 1 + var i = 0 + while (++i < byteLength && (mul *= 0x100)) { + val += this[offset + i] * mul + } + mul *= 0x80 + + if (val >= mul) val -= Math.pow(2, 8 * byteLength) + + return val +} + +Buffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) { + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) checkOffset(offset, byteLength, this.length) + + var i = byteLength + var mul = 1 + var val = this[offset + --i] + while (i > 0 && (mul *= 0x100)) { + val += this[offset + --i] * mul + } + mul *= 0x80 + + if (val >= mul) val -= Math.pow(2, 8 * byteLength) + + return val +} + +Buffer.prototype.readInt8 = function readInt8 (offset, noAssert) { + if (!noAssert) checkOffset(offset, 1, this.length) + if (!(this[offset] & 0x80)) return (this[offset]) + return ((0xff - this[offset] + 1) * -1) +} + +Buffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 2, this.length) + var val = this[offset] | (this[offset + 1] << 8) + return (val & 0x8000) ? val | 0xFFFF0000 : val +} + +Buffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 2, this.length) + var val = this[offset + 1] | (this[offset] << 8) + return (val & 0x8000) ? val | 0xFFFF0000 : val +} + +Buffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + + return (this[offset]) | + (this[offset + 1] << 8) | + (this[offset + 2] << 16) | + (this[offset + 3] << 24) +} + +Buffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + + return (this[offset] << 24) | + (this[offset + 1] << 16) | + (this[offset + 2] << 8) | + (this[offset + 3]) +} + +Buffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + return ieee754.read(this, offset, true, 23, 4) +} + +Buffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 4, this.length) + return ieee754.read(this, offset, false, 23, 4) +} + +Buffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 8, this.length) + return ieee754.read(this, offset, true, 52, 8) +} + +Buffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) { + if (!noAssert) checkOffset(offset, 8, this.length) + return ieee754.read(this, offset, false, 52, 8) +} + +function checkInt (buf, value, offset, ext, max, min) { + if (!Buffer.isBuffer(buf)) throw new TypeError('"buffer" argument must be a Buffer instance') + if (value > max || value < min) throw new RangeError('"value" argument is out of bounds') + if (offset + ext > buf.length) throw new RangeError('Index out of range') +} + +Buffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) { + value = +value + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) { + var maxBytes = Math.pow(2, 8 * byteLength) - 1 + checkInt(this, value, offset, byteLength, maxBytes, 0) + } + + var mul = 1 + var i = 0 + this[offset] = value & 0xFF + while (++i < byteLength && (mul *= 0x100)) { + this[offset + i] = (value / mul) & 0xFF + } + + return offset + byteLength +} + +Buffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) { + value = +value + offset = offset | 0 + byteLength = byteLength | 0 + if (!noAssert) { + var maxBytes = Math.pow(2, 8 * byteLength) - 1 + checkInt(this, value, offset, byteLength, maxBytes, 0) + } + + var i = byteLength - 1 + var mul = 1 + this[offset + i] = value & 0xFF + while (--i >= 0 && (mul *= 0x100)) { + this[offset + i] = (value / mul) & 0xFF + } + + return offset + byteLength +} + +Buffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0) + if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value) + this[offset] = (value & 0xff) + return offset + 1 +} + +function objectWriteUInt16 (buf, value, offset, littleEndian) { + if (value < 0) value = 0xffff + value + 1 + for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) { + buf[offset + i] = (value & (0xff << (8 * (littleEndian ? i : 1 - i)))) >>> + (littleEndian ? i : 1 - i) * 8 + } +} + +Buffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value & 0xff) + this[offset + 1] = (value >>> 8) + } else { + objectWriteUInt16(this, value, offset, true) + } + return offset + 2 +} + +Buffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value >>> 8) + this[offset + 1] = (value & 0xff) + } else { + objectWriteUInt16(this, value, offset, false) + } + return offset + 2 +} + +function objectWriteUInt32 (buf, value, offset, littleEndian) { + if (value < 0) value = 0xffffffff + value + 1 + for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) { + buf[offset + i] = (value >>> (littleEndian ? i : 3 - i) * 8) & 0xff + } +} + +Buffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset + 3] = (value >>> 24) + this[offset + 2] = (value >>> 16) + this[offset + 1] = (value >>> 8) + this[offset] = (value & 0xff) + } else { + objectWriteUInt32(this, value, offset, true) + } + return offset + 4 +} + +Buffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value >>> 24) + this[offset + 1] = (value >>> 16) + this[offset + 2] = (value >>> 8) + this[offset + 3] = (value & 0xff) + } else { + objectWriteUInt32(this, value, offset, false) + } + return offset + 4 +} + +Buffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) { + var limit = Math.pow(2, 8 * byteLength - 1) + + checkInt(this, value, offset, byteLength, limit - 1, -limit) + } + + var i = 0 + var mul = 1 + var sub = 0 + this[offset] = value & 0xFF + while (++i < byteLength && (mul *= 0x100)) { + if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) { + sub = 1 + } + this[offset + i] = ((value / mul) >> 0) - sub & 0xFF + } + + return offset + byteLength +} + +Buffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) { + var limit = Math.pow(2, 8 * byteLength - 1) + + checkInt(this, value, offset, byteLength, limit - 1, -limit) + } + + var i = byteLength - 1 + var mul = 1 + var sub = 0 + this[offset + i] = value & 0xFF + while (--i >= 0 && (mul *= 0x100)) { + if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) { + sub = 1 + } + this[offset + i] = ((value / mul) >> 0) - sub & 0xFF + } + + return offset + byteLength +} + +Buffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80) + if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value) + if (value < 0) value = 0xff + value + 1 + this[offset] = (value & 0xff) + return offset + 1 +} + +Buffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value & 0xff) + this[offset + 1] = (value >>> 8) + } else { + objectWriteUInt16(this, value, offset, true) + } + return offset + 2 +} + +Buffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value >>> 8) + this[offset + 1] = (value & 0xff) + } else { + objectWriteUInt16(this, value, offset, false) + } + return offset + 2 +} + +Buffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000) + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value & 0xff) + this[offset + 1] = (value >>> 8) + this[offset + 2] = (value >>> 16) + this[offset + 3] = (value >>> 24) + } else { + objectWriteUInt32(this, value, offset, true) + } + return offset + 4 +} + +Buffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) { + value = +value + offset = offset | 0 + if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000) + if (value < 0) value = 0xffffffff + value + 1 + if (Buffer.TYPED_ARRAY_SUPPORT) { + this[offset] = (value >>> 24) + this[offset + 1] = (value >>> 16) + this[offset + 2] = (value >>> 8) + this[offset + 3] = (value & 0xff) + } else { + objectWriteUInt32(this, value, offset, false) + } + return offset + 4 +} + +function checkIEEE754 (buf, value, offset, ext, max, min) { + if (offset + ext > buf.length) throw new RangeError('Index out of range') + if (offset < 0) throw new RangeError('Index out of range') +} + +function writeFloat (buf, value, offset, littleEndian, noAssert) { + if (!noAssert) { + checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38) + } + ieee754.write(buf, value, offset, littleEndian, 23, 4) + return offset + 4 +} + +Buffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) { + return writeFloat(this, value, offset, true, noAssert) +} + +Buffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) { + return writeFloat(this, value, offset, false, noAssert) +} + +function writeDouble (buf, value, offset, littleEndian, noAssert) { + if (!noAssert) { + checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308) + } + ieee754.write(buf, value, offset, littleEndian, 52, 8) + return offset + 8 +} + +Buffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) { + return writeDouble(this, value, offset, true, noAssert) +} + +Buffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) { + return writeDouble(this, value, offset, false, noAssert) +} + +// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length) +Buffer.prototype.copy = function copy (target, targetStart, start, end) { + if (!start) start = 0 + if (!end && end !== 0) end = this.length + if (targetStart >= target.length) targetStart = target.length + if (!targetStart) targetStart = 0 + if (end > 0 && end < start) end = start + + // Copy 0 bytes; we're done + if (end === start) return 0 + if (target.length === 0 || this.length === 0) return 0 + + // Fatal error conditions + if (targetStart < 0) { + throw new RangeError('targetStart out of bounds') + } + if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds') + if (end < 0) throw new RangeError('sourceEnd out of bounds') + + // Are we oob? + if (end > this.length) end = this.length + if (target.length - targetStart < end - start) { + end = target.length - targetStart + start + } + + var len = end - start + var i + + if (this === target && start < targetStart && targetStart < end) { + // descending copy from end + for (i = len - 1; i >= 0; --i) { + target[i + targetStart] = this[i + start] + } + } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) { + // ascending copy from start + for (i = 0; i < len; ++i) { + target[i + targetStart] = this[i + start] + } + } else { + Uint8Array.prototype.set.call( + target, + this.subarray(start, start + len), + targetStart + ) + } + + return len +} + +// Usage: +// buffer.fill(number[, offset[, end]]) +// buffer.fill(buffer[, offset[, end]]) +// buffer.fill(string[, offset[, end]][, encoding]) +Buffer.prototype.fill = function fill (val, start, end, encoding) { + // Handle string cases: + if (typeof val === 'string') { + if (typeof start === 'string') { + encoding = start + start = 0 + end = this.length + } else if (typeof end === 'string') { + encoding = end + end = this.length + } + if (val.length === 1) { + var code = val.charCodeAt(0) + if (code < 256) { + val = code + } + } + if (encoding !== undefined && typeof encoding !== 'string') { + throw new TypeError('encoding must be a string') + } + if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) { + throw new TypeError('Unknown encoding: ' + encoding) + } + } else if (typeof val === 'number') { + val = val & 255 + } + + // Invalid ranges are not set to a default, so can range check early. + if (start < 0 || this.length < start || this.length < end) { + throw new RangeError('Out of range index') + } + + if (end <= start) { + return this + } + + start = start >>> 0 + end = end === undefined ? this.length : end >>> 0 + + if (!val) val = 0 + + var i + if (typeof val === 'number') { + for (i = start; i < end; ++i) { + this[i] = val + } + } else { + var bytes = Buffer.isBuffer(val) + ? val + : utf8ToBytes(new Buffer(val, encoding).toString()) + var len = bytes.length + for (i = 0; i < end - start; ++i) { + this[i + start] = bytes[i % len] + } + } + + return this +} + +// HELPER FUNCTIONS +// ================ + +var INVALID_BASE64_RE = /[^+\/0-9A-Za-z-_]/g + +function base64clean (str) { + // Node strips out invalid characters like \n and \t from the string, base64-js does not + str = stringtrim(str).replace(INVALID_BASE64_RE, '') + // Node converts strings with length < 2 to '' + if (str.length < 2) return '' + // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not + while (str.length % 4 !== 0) { + str = str + '=' + } + return str +} + +function stringtrim (str) { + if (str.trim) return str.trim() + return str.replace(/^\s+|\s+$/g, '') +} + +function toHex (n) { + if (n < 16) return '0' + n.toString(16) + return n.toString(16) +} + +function utf8ToBytes (string, units) { + units = units || Infinity + var codePoint + var length = string.length + var leadSurrogate = null + var bytes = [] + + for (var i = 0; i < length; ++i) { + codePoint = string.charCodeAt(i) + + // is surrogate component + if (codePoint > 0xD7FF && codePoint < 0xE000) { + // last char was a lead + if (!leadSurrogate) { + // no lead yet + if (codePoint > 0xDBFF) { + // unexpected trail + if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) + continue + } else if (i + 1 === length) { + // unpaired lead + if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) + continue + } + + // valid lead + leadSurrogate = codePoint + + continue + } + + // 2 leads in a row + if (codePoint < 0xDC00) { + if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) + leadSurrogate = codePoint + continue + } + + // valid surrogate pair + codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000 + } else if (leadSurrogate) { + // valid bmp char, but last char was a lead + if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) + } + + leadSurrogate = null + + // encode utf8 + if (codePoint < 0x80) { + if ((units -= 1) < 0) break + bytes.push(codePoint) + } else if (codePoint < 0x800) { + if ((units -= 2) < 0) break + bytes.push( + codePoint >> 0x6 | 0xC0, + codePoint & 0x3F | 0x80 + ) + } else if (codePoint < 0x10000) { + if ((units -= 3) < 0) break + bytes.push( + codePoint >> 0xC | 0xE0, + codePoint >> 0x6 & 0x3F | 0x80, + codePoint & 0x3F | 0x80 + ) + } else if (codePoint < 0x110000) { + if ((units -= 4) < 0) break + bytes.push( + codePoint >> 0x12 | 0xF0, + codePoint >> 0xC & 0x3F | 0x80, + codePoint >> 0x6 & 0x3F | 0x80, + codePoint & 0x3F | 0x80 + ) + } else { + throw new Error('Invalid code point') + } + } + + return bytes +} + +function asciiToBytes (str) { + var byteArray = [] + for (var i = 0; i < str.length; ++i) { + // Node's code seems to be doing this and not & 0x7F.. + byteArray.push(str.charCodeAt(i) & 0xFF) + } + return byteArray +} + +function utf16leToBytes (str, units) { + var c, hi, lo + var byteArray = [] + for (var i = 0; i < str.length; ++i) { + if ((units -= 2) < 0) break + + c = str.charCodeAt(i) + hi = c >> 8 + lo = c % 256 + byteArray.push(lo) + byteArray.push(hi) + } + + return byteArray +} + +function base64ToBytes (str) { + return base64.toByteArray(base64clean(str)) +} + +function blitBuffer (src, dst, offset, length) { + for (var i = 0; i < length; ++i) { + if ((i + offset >= dst.length) || (i >= src.length)) break + dst[i + offset] = src[i] + } + return i +} + +function isnan (val) { + return val !== val // eslint-disable-line no-self-compare +} + +/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(0).Buffer, __webpack_require__(11))) + +/***/ }, +/* 1 */ +/***/ 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, + configurable: false, + get: function() { return module.l; } + }); + Object.defineProperty(module, "id", { + enumerable: true, + configurable: false, + get: function() { return module.i; } + }); + module.webpackPolyfill = 1; + } + return module; +} + + +/***/ }, +/* 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__(12).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; @@ -1675,4094 +3498,5776 @@ return /******/ (function(modules) { // webpackBootstrap o[19] = c; out.length++; } - return out; + 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) + }; }; - // Polyfill comb - if (!Math.imul) { - comb10MulTo = smallMulTo; - } + // 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()); - function bigMulTo (self, num, out) { - out.negative = num.negative ^ self.negative; - out.length = self.length + num.length; + var a = this; + var b = p.clone(); - 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; + if (a.negative !== 0) { + a = a.umod(p); + } else { + a = a.clone(); + } - var lo = r & 0x3ffffff; - ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; - lo = (lo + rword) | 0; - rword = lo & 0x3ffffff; - ncarry = (ncarry + (lo >>> 26)) | 0; + var x1 = new BN(1); + var x2 = new BN(0); - hncarry += ncarry >>> 26; - ncarry &= 0x3ffffff; + 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); + } } - out.words[k] = rword; - carry = ncarry; - ncarry = hncarry; - } - if (carry !== 0) { - out.words[k] = carry; - } else { - out.length--; - } - return out.strip(); - } + 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); + } - function jumboMulTo (self, num, out) { - var fftm = new FFTM(); - return fftm.mulp(self, num, out); - } + x2.iushrn(1); + } + } + + if (a.cmp(b) >= 0) { + a.isub(b); + x1.isub(x2); + } else { + b.isub(a); + x2.isub(x1); + } + } - 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); + if (a.cmpn(1) === 0) { + res = x1; } else { - res = jumboMulTo(this, num, out); + res = x2; + } + + if (res.cmpn(0) < 0) { + res.iadd(p); } return res; }; - // Cooley-Tukey algorithm for FFT - // slightly revisited to rely on looping instead of recursion + BN.prototype.gcd = function gcd (num) { + if (this.isZero()) return num.abs(); + if (num.isZero()) return this.abs(); - function FFTM (x, y) { - this.x = x; - this.y = y; - } + var a = this.clone(); + var b = num.clone(); + a.negative = 0; + b.negative = 0; - 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); + // Remove common factor of two + for (var shift = 0; a.isEven() && b.isEven(); shift++) { + a.iushrn(1); + b.iushrn(1); } - return t; + 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); }; - // Returns binary-reversed representation of `x` - FFTM.prototype.revBin = function revBin (x, l, N) { - if (x === 0 || x === N - 1) return x; + // Invert number in the field F(num) + BN.prototype.invm = function invm (num) { + return this.egcd(num).a.umod(num); + }; - var rb = 0; - for (var i = 0; i < l; i++) { - rb |= (x & 1) << (l - i - 1); - x >>= 1; + 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; } - return rb; + // 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; }; - // 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]]; + 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; }; - FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { - this.permute(rbt, rws, iws, rtws, itws, N); + // 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; - for (var s = 1; s < N; s <<= 1) { - var l = s << 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; - var rtwdf = Math.cos(2 * Math.PI / l); - var itwdf = Math.sin(2 * Math.PI / l); + if (a === b) continue; + if (a < b) { + res = -1; + } else if (a > b) { + res = 1; + } + break; + } + return res; + }; - for (var p = 0; p < N; p += l) { - var rtwdf_ = rtwdf; - var itwdf_ = itwdf; + BN.prototype.gtn = function gtn (num) { + return this.cmpn(num) === 1; + }; - for (var j = 0; j < s; j++) { - var re = rtws[p + j]; - var ie = itws[p + j]; + BN.prototype.gt = function gt (num) { + return this.cmp(num) === 1; + }; - var ro = rtws[p + j + s]; - var io = itws[p + j + s]; + BN.prototype.gten = function gten (num) { + return this.cmpn(num) >= 0; + }; - var rx = rtwdf_ * ro - itwdf_ * io; + BN.prototype.gte = function gte (num) { + return this.cmp(num) >= 0; + }; - io = rtwdf_ * io + itwdf_ * ro; - ro = rx; + BN.prototype.ltn = function ltn (num) { + return this.cmpn(num) === -1; + }; - rtws[p + j] = re + ro; - itws[p + j] = ie + io; + BN.prototype.lt = function lt (num) { + return this.cmp(num) === -1; + }; - rtws[p + j + s] = re - ro; - itws[p + j + s] = ie - io; + BN.prototype.lten = function lten (num) { + return this.cmpn(num) <= 0; + }; - /* jshint maxdepth : false */ - if (j !== l) { - rx = rtwdf * rtwdf_ - itwdf * itwdf_; + BN.prototype.lte = function lte (num) { + return this.cmp(num) <= 0; + }; - itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; - rtwdf_ = rx; - } - } - } - } + BN.prototype.eqn = function eqn (num) { + return this.cmpn(num) === 0; }; - 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++; - } + BN.prototype.eq = function eq (num) { + return this.cmp(num) === 0; + }; - return 1 << i + 1 + odd; + // + // A reduce context, could be using montgomery or something better, depending + // on the `m` itself. + // + BN.red = function red (num) { + return new Red(num); }; - FFTM.prototype.conjugate = function conjugate (rws, iws, N) { - if (N <= 1) return; + 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); + }; - for (var i = 0; i < N / 2; i++) { - var t = rws[i]; + BN.prototype.fromRed = function fromRed () { + assert(this.red, 'fromRed works only with numbers in reduction context'); + return this.red.convertFrom(this); + }; - rws[i] = rws[N - i - 1]; - rws[N - i - 1] = t; + BN.prototype._forceRed = function _forceRed (ctx) { + this.red = ctx; + return this; + }; - t = iws[i]; + BN.prototype.forceRed = function forceRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + return this._forceRed(ctx); + }; - iws[i] = -iws[N - i - 1]; - iws[N - i - 1] = -t; - } + BN.prototype.redAdd = function redAdd (num) { + assert(this.red, 'redAdd works only with red numbers'); + return this.red.add(this, num); }; - 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; + BN.prototype.redIAdd = function redIAdd (num) { + assert(this.red, 'redIAdd works only with red numbers'); + return this.red.iadd(this, num); + }; - ws[i] = w & 0x3ffffff; + BN.prototype.redSub = function redSub (num) { + assert(this.red, 'redSub works only with red numbers'); + return this.red.sub(this, num); + }; - if (w < 0x4000000) { - carry = 0; - } else { - carry = w / 0x4000000 | 0; - } - } + BN.prototype.redISub = function redISub (num) { + assert(this.red, 'redISub works only with red numbers'); + return this.red.isub(this, num); + }; - return ws; + BN.prototype.redShl = function redShl (num) { + assert(this.red, 'redShl works only with red numbers'); + return this.red.shl(this, num); }; - FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { - var carry = 0; - for (var i = 0; i < len; i++) { - carry = carry + (ws[i] | 0); + 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); + }; - rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; - rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; - } + 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); + }; - // Pad with zeroes - for (i = 2 * len; i < N; ++i) { - rws[i] = 0; - } + BN.prototype.redSqr = function redSqr () { + assert(this.red, 'redSqr works only with red numbers'); + this.red._verify1(this); + return this.red.sqr(this); + }; - assert(carry === 0); - assert((carry & ~0x1fff) === 0); + BN.prototype.redISqr = function redISqr () { + assert(this.red, 'redISqr works only with red numbers'); + this.red._verify1(this); + return this.red.isqr(this); }; - FFTM.prototype.stub = function stub (N) { - var ph = new Array(N); - for (var i = 0; i < N; i++) { - ph[i] = 0; - } + // 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); + }; - return ph; + BN.prototype.redInvm = function redInvm () { + assert(this.red, 'redInvm works only with red numbers'); + this.red._verify1(this); + return this.red.invm(this); }; - FFTM.prototype.mulp = function mulp (x, y, out) { - var N = 2 * this.guessLen13b(x.length, y.length); + // 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); + }; - var rbt = this.makeRBT(N); + BN.prototype.redPow = function redPow (num) { + assert(this.red && !num.red, 'redPow(normalNum)'); + this.red._verify1(this); + return this.red.pow(this, num); + }; - var _ = this.stub(N); + // Prime numbers with efficient reduction + var primes = { + k256: null, + p224: null, + p192: null, + p25519: null + }; - var rws = new Array(N); - var rwst = new Array(N); - var iwst = new Array(N); + // 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); - var nrws = new Array(N); - var nrwst = new Array(N); - var niwst = new Array(N); + this.tmp = this._tmp(); + } - var rmws = out.words; - rmws.length = N; + MPrime.prototype._tmp = function _tmp () { + var tmp = new BN(null); + tmp.words = new Array(Math.ceil(this.n / 13)); + return tmp; + }; - this.convert13b(x.words, x.length, rws, N); - this.convert13b(y.words, y.length, nrws, N); + 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; - this.transform(rws, _, rwst, iwst, N, rbt); - this.transform(nrws, _, nrwst, niwst, N, rbt); + do { + this.split(r, this.tmp); + r = this.imulK(r); + r = r.iadd(this.tmp); + rlen = r.bitLength(); + } while (rlen > this.n); - 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; + 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(); } - 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(); + return r; }; - // 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); + MPrime.prototype.split = function split (input, out) { + input.iushrn(this.n, 0, 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); + MPrime.prototype.imulK = function imulK (num) { + return num.imul(this.k); }; - // In-place Multiplication - BN.prototype.imul = function imul (num) { - return this.clone().mulTo(num, this); - }; + function K256 () { + MPrime.call( + this, + 'k256', + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); + } + inherits(K256, MPrime); - BN.prototype.imuln = function imuln (num) { - assert(typeof num === 'number'); - assert(num < 0x4000000); + K256.prototype.split = function split (input, output) { + // 256 = 9 * 26 + 22 + var mask = 0x3fffff; - // 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; + var outLen = Math.min(input.length, 9); + for (var i = 0; i < outLen; i++) { + output.words[i] = input.words[i]; } + output.length = outLen; - if (carry !== 0) { - this.words[i] = carry; - this.length++; + if (input.length <= 9) { + input.words[0] = 0; + input.length = 1; + return; } - return this; - }; + // Shift by 9 limbs + var prev = input.words[9]; + output.words[output.length++] = prev & mask; - BN.prototype.muln = function muln (num) { - return this.clone().imuln(num); + 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; + } }; - // `this` * `this` - BN.prototype.sqr = function sqr () { - return this.mul(this); - }; + K256.prototype.imulK = function imulK (num) { + // K = 0x1000003d1 = [ 0x40, 0x3d1 ] + num.words[num.length] = 0; + num.words[num.length + 1] = 0; + num.length += 2; - // `this` * `this` in-place - BN.prototype.isqr = function isqr () { - return this.imul(this.clone()); + // 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; }; - // Math.pow(`this`, `num`) - BN.prototype.pow = function pow (num) { - var w = toBitArray(num); - if (w.length === 0) return new BN(1); + function P224 () { + MPrime.call( + this, + 'p224', + 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); + } + inherits(P224, MPrime); - // Skip leading zeroes - var res = this; - for (var i = 0; i < w.length; i++, res = res.sqr()) { - if (w[i] !== 0) break; - } + function P192 () { + MPrime.call( + this, + 'p192', + 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); + } + inherits(P192, MPrime); - if (++i < w.length) { - for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { - if (w[i] === 0) continue; + function P25519 () { + // 2 ^ 255 - 19 + MPrime.call( + this, + '25519', + '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed'); + } + inherits(P25519, MPrime); - res = res.mul(q); - } - } + 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; - return res; + num.words[i] = lo; + carry = hi; + } + if (carry !== 0) { + num.words[num.length++] = carry; + } + return num; }; - // 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; + // Exported mostly for testing purposes, use plain name instead + BN._prime = function prime (name) { + // Cached version of prime + if (primes[name]) return primes[name]; - if (r !== 0) { - var carry = 0; + 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; - 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); - } + return prime; + }; - if (carry) { - this.words[i] = carry; - this.length++; - } + // + // 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; } + } - if (s !== 0) { - for (i = this.length - 1; i >= 0; i--) { - this.words[i + s] = this.words[i]; - } + Red.prototype._verify1 = function _verify1 (a) { + assert(a.negative === 0, 'red works only with positives'); + assert(a.red, 'red works only with red numbers'); + }; - for (i = 0; i < s; i++) { - this.words[i] = 0; - } + 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); + }; - this.length += s; + Red.prototype.neg = function neg (a) { + if (a.isZero()) { + return a.clone(); } - return this.strip(); + return this.m.sub(a)._forceRed(this); }; - BN.prototype.ishln = function ishln (bits) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushln(bits); - }; + Red.prototype.add = function add (a, b) { + this._verify2(a, b); - // 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 res = a.add(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); } + return res._forceRed(this); + }; - 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); + Red.prototype.iadd = function iadd (a, b) { + this._verify2(a, b); - // Extended mode, copy masked part - if (maskedWords) { - for (var i = 0; i < s; i++) { - maskedWords.words[i] = this.words[i]; - } - maskedWords.length = s; + var res = a.iadd(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); } + return res; + }; - 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; - } + Red.prototype.sub = function sub (a, b) { + this._verify2(a, b); - 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; + var res = a.sub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); } + return res._forceRed(this); + }; - // Push carried bits as a mask - if (maskedWords && carry !== 0) { - maskedWords.words[maskedWords.length++] = carry; - } + Red.prototype.isub = function isub (a, b) { + this._verify2(a, b); - if (this.length === 0) { - this.words[0] = 0; - this.length = 1; + var res = a.isub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); } - - return this.strip(); + return res; }; - BN.prototype.ishrn = function ishrn (bits, hint, extended) { - // TODO(indutny): implement me - assert(this.negative === 0); - return this.iushrn(bits, hint, extended); + Red.prototype.shl = function shl (a, num) { + this._verify1(a); + return this.imod(a.ushln(num)); }; - // Shift-left - BN.prototype.shln = function shln (bits) { - return this.clone().ishln(bits); + Red.prototype.imul = function imul (a, b) { + this._verify2(a, b); + return this.imod(a.imul(b)); }; - BN.prototype.ushln = function ushln (bits) { - return this.clone().iushln(bits); + Red.prototype.mul = function mul (a, b) { + this._verify2(a, b); + return this.imod(a.mul(b)); }; - // Shift-right - BN.prototype.shrn = function shrn (bits) { - return this.clone().ishrn(bits); + Red.prototype.isqr = function isqr (a) { + return this.imul(a, a.clone()); }; - BN.prototype.ushrn = function ushrn (bits) { - return this.clone().iushrn(bits); + Red.prototype.sqr = function sqr (a) { + return this.mul(a, a); }; - // 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; + Red.prototype.sqrt = function sqrt (a) { + if (a.isZero()) return a.clone(); - // Fast case: bit is much higher than all existing words - if (this.length <= s) return false; + var mod3 = this.m.andln(3); + assert(mod3 % 2 === 1); - // Check bit and return - var w = this.words[s]; + // Fast case + if (mod3 === 3) { + var pow = this.m.add(new BN(1)).iushrn(2); + return this.pow(a, pow); + } - return !!(w & q); - }; + // 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()); - // 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; + var one = new BN(1).toRed(this); + var nOne = one.redNeg(); - assert(this.negative === 0, 'imaskn works only with positive numbers'); + // 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); - if (this.length <= s) { - return this; + while (this.pow(z, lpow).cmp(nOne) !== 0) { + z.redIAdd(nOne); } - if (r !== 0) { - s++; - } - this.length = Math.min(s, this.length); + 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)); - if (r !== 0) { - var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); - this.words[this.length - 1] &= mask; + r = r.redMul(b); + c = b.redSqr(); + t = t.redMul(c); + m = i; } - return this.strip(); + return r; }; - // Return only lowers bits of number - BN.prototype.maskn = function maskn (bits) { - return this.clone().imaskn(bits); + 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); + } }; - // 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); + Red.prototype.pow = function pow (a, num) { + if (num.isZero()) return new BN(1).toRed(this); + if (num.cmpn(1) === 0) return a.clone(); - // 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; + 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; + }; - this.negative = 0; - this.isubn(num); - this.negative = 1; - return this; - } + Red.prototype.convertFrom = function convertFrom (num) { + var res = num.clone(); + res.red = null; + return res; + }; - // Add without checks - return this._iaddn(num); + // + // Montgomery method engine + // + + BN.mont = function mont (num) { + return new Mont(num); }; - BN.prototype._iaddn = function _iaddn (num) { - this.words[0] += num; + function Mont (m) { + Red.call(this, m); - // 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.shift = this.m.bitLength(); + if (this.shift % 26 !== 0) { + this.shift += 26 - (this.shift % 26); } - this.length = Math.max(this.length, i + 1); - return this; + 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)); }; - // 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); + Mont.prototype.convertFrom = function convertFrom (num) { + var r = this.imod(num.mul(this.rinv)); + r.red = null; + return r; + }; - if (this.negative !== 0) { - this.negative = 0; - this.iaddn(num); - this.negative = 1; - return this; + Mont.prototype.imul = function imul (a, b) { + if (a.isZero() || b.isZero()) { + a.words[0] = 0; + a.length = 1; + return a; } - this.words[0] -= num; + 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 (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; - } + if (u.cmp(this.m) >= 0) { + res = u.isub(this.m); + } else if (u.cmpn(0) < 0) { + res = u.iadd(this.m); } - return this.strip(); + return res._forceRed(this); }; - BN.prototype.addn = function addn (num) { - return this.clone().iaddn(num); + 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); }; - BN.prototype.subn = function subn (num) { - return this.clone().isubn(num); + 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); }; +})(typeof module === 'undefined' || module, this); - BN.prototype.iabs = function iabs () { - this.negative = 0; +/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(1)(module))) - return this; - }; +/***/ }, +/* 3 */ +/***/ function(module, exports, __webpack_require__) { - BN.prototype.abs = function abs () { - return this.clone().iabs(); - }; +var BN = __webpack_require__(9); +var stripHexPrefix = __webpack_require__(10); - BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { - var len = num.length + shift; - var i; +/** + * Returns a BN object, converts a number value to a BN + * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object + * @return {Object} `output` BN object of the number + * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number + */ +module.exports = function numberToBN(arg) { + if (typeof arg === 'string' || typeof arg === 'number') { + var multiplier = new BN(1); // eslint-disable-line + var formattedString = String(arg).toLowerCase().trim(); + var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x'; + var stringArg = stripHexPrefix(formattedString); // eslint-disable-line + if (stringArg.substr(0, 1) === '-') { + stringArg = stripHexPrefix(stringArg.slice(1)); + multiplier = new BN(-1, 10); + } + stringArg = stringArg === '' ? '0' : stringArg; - this._expand(len); + if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/)) + || stringArg.match(/^[a-fA-F]+$/) + || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) { + return new BN(stringArg, 16).mul(multiplier); + } - var w; - var carry = 0; - for (i = 0; i < num.length; i++) { - w = (this.words[i + shift] | 0) + carry; - var right = (num.words[i] | 0) * mul; - w -= right & 0x3ffffff; - carry = (w >> 26) - ((right / 0x4000000) | 0); - this.words[i + shift] = w & 0x3ffffff; + if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) { + return new BN(stringArg, 10).mul(multiplier); } - for (; i < this.length - shift; i++) { - w = (this.words[i + shift] | 0) + carry; - carry = w >> 26; - this.words[i + shift] = w & 0x3ffffff; + } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) { + if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) { + return new BN(arg.toString(10), 10); } + } - if (carry === 0) return this.strip(); + throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.'); +} - // 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(); - }; +/***/ }, +/* 4 */ +/***/ function(module, exports, __webpack_require__) { - BN.prototype._wordDiv = function _wordDiv (num, mode) { - var shift = this.length - num.length; +"use strict"; +'use strict'; - var a = this.clone(); - var b = num; +/* +Primary Attribution +Richard Moore +https://github.com/ethers-io - // 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; - } +Note, Richard is a god of ether gods. Follow and respect him, and use Ethers.io! +*/ - // Initialize quotient - var m = a.length - b.length; - var q; +var BN = __webpack_require__(2); +var numberToBN = __webpack_require__(3); - 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 zero = new BN(0); +var negative1 = new BN(-1); - var diff = a.clone()._ishlnsubmul(b, 1, m); - if (diff.negative === 0) { - a = diff; - if (q) { - q.words[m] = 1; - } - } +// complete ethereum unit map +var unitMap = { + 'noether': '0', // eslint-disable-line + 'wei': '1', // eslint-disable-line + 'kwei': '1000', // eslint-disable-line + 'Kwei': '1000', // eslint-disable-line + 'babbage': '1000', // eslint-disable-line + 'femtoether': '1000', // eslint-disable-line + 'mwei': '1000000', // eslint-disable-line + 'Mwei': '1000000', // eslint-disable-line + 'lovelace': '1000000', // eslint-disable-line + 'picoether': '1000000', // eslint-disable-line + 'gwei': '1000000000', // eslint-disable-line + 'Gwei': '1000000000', // eslint-disable-line + 'shannon': '1000000000', // eslint-disable-line + 'nanoether': '1000000000', // eslint-disable-line + 'nano': '1000000000', // eslint-disable-line + 'szabo': '1000000000000', // eslint-disable-line + 'microether': '1000000000000', // eslint-disable-line + 'micro': '1000000000000', // eslint-disable-line + 'finney': '1000000000000000', // eslint-disable-line + 'milliether': '1000000000000000', // eslint-disable-line + 'milli': '1000000000000000', // eslint-disable-line + 'ether': '1000000000000000000', // eslint-disable-line + 'kether': '1000000000000000000000', // eslint-disable-line + 'grand': '1000000000000000000000', // eslint-disable-line + 'mether': '1000000000000000000000000', // eslint-disable-line + 'gether': '1000000000000000000000000000', // eslint-disable-line + 'tether': '1000000000000000000000000000000' // eslint-disable-line +}; + +/** + * Returns value of unit in Wei + * + * @method getValueOfUnit + * @param {String} unit the unit to convert to, default ether + * @returns {BigNumber} value of the unit (in Wei) + * @throws error if the unit is not correct:w + */ +function getValueOfUnit(unitInput) { + var unit = unitInput ? unitInput.toLowerCase() : 'ether'; + var unitValue = unitMap[unit]; // eslint-disable-line - for (var j = m - 1; j >= 0; j--) { - var qj = (a.words[b.length + j] | 0) * 0x4000000 + - (a.words[b.length + j - 1] | 0); + if (typeof unitValue !== 'string') { + throw new Error('[ethjs-unit] the unit provided ' + unitInput + ' doesn\'t exists, please use the one of the following units ' + JSON.stringify(unitMap, null, 2)); + } - // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max - // (0x7ffffff) - qj = Math.min((qj / bhi) | 0, 0x3ffffff); + return new BN(unitValue, 10); +} - 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(); +function numberToString(arg) { + if (typeof arg === 'string') { + if (!arg.match(/^-?[0-9.]+$/)) { + throw new Error('while converting number to string, invalid number value \'' + arg + '\', should be a number matching (^-?[0-9.]+).'); } - a.strip(); - - // Denormalize - if (mode !== 'div' && shift !== 0) { - a.iushrn(shift); + return arg; + } else if (typeof arg === 'number') { + return String(arg); + } else if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) { + if (arg.toPrecision) { + return String(arg.toPrecision()); + } else { + // eslint-disable-line + return arg.toString(10); } + } + throw new Error('while converting number to string, invalid number value \'' + arg + '\' type ' + typeof arg + '.'); +} - 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()); +function fromWei(weiInput, unit, optionsInput) { + var wei = numberToBN(weiInput); // eslint-disable-line + var negative = wei.lt(zero); // eslint-disable-line + var base = getValueOfUnit(unit); + var baseLength = unitMap[unit].length - 1 || 1; + var options = optionsInput || {}; - if (this.isZero()) { - return { - div: new BN(0), - mod: new BN(0) - }; - } + if (negative) { + wei = wei.mul(negative1); + } - var div, mod, res; - if (this.negative !== 0 && num.negative === 0) { - res = this.neg().divmod(num, mode); + var fraction = wei.mod(base).toString(10); // eslint-disable-line - if (mode !== 'mod') { - div = res.div.neg(); - } + while (fraction.length < baseLength) { + fraction = '0' + fraction; + } - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.iadd(num); - } - } + if (!options.pad) { + fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; + } - return { - div: div, - mod: mod - }; - } + var whole = wei.div(base).toString(10); // eslint-disable-line - if (this.negative === 0 && num.negative !== 0) { - res = this.divmod(num.neg(), mode); + if (options.commify) { + whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ','); + } - if (mode !== 'mod') { - div = res.div.neg(); - } + var value = '' + whole + (fraction == '0' ? '' : '.' + fraction); // eslint-disable-line - return { - div: div, - mod: res.mod - }; - } + if (negative) { + value = '-' + value; + } - if ((this.negative & num.negative) !== 0) { - res = this.neg().divmod(num.neg(), mode); + return value; +} - if (mode !== 'div') { - mod = res.mod.neg(); - if (positive && mod.negative !== 0) { - mod.isub(num); - } - } +function toWei(etherInput, unit) { + var ether = numberToString(etherInput); // eslint-disable-line + var base = getValueOfUnit(unit); + var baseLength = unitMap[unit].length - 1 || 1; - return { - div: res.div, - mod: mod - }; - } + // Is it negative? + var negative = ether.substring(0, 1) === '-'; // eslint-disable-line + if (negative) { + ether = ether.substring(1); + } - // Both numbers are positive at this point + if (ether === '.') { + throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, invalid value'); + } - // Strip both numbers to approximate shift value - if (num.length > this.length || this.cmp(num) < 0) { - return { - div: new BN(0), - mod: this - }; - } + // Split it into a whole and fractional part + var comps = ether.split('.'); // eslint-disable-line + if (comps.length > 2) { + throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal points'); + } - // Very short reduction - if (num.length === 1) { - if (mode === 'div') { - return { - div: this.divn(num.words[0]), - mod: null - }; - } + var whole = comps[0], + fraction = comps[1]; // eslint-disable-line - if (mode === 'mod') { - return { - div: null, - mod: new BN(this.modn(num.words[0])) - }; - } + if (!whole) { + whole = '0'; + } + if (!fraction) { + fraction = '0'; + } + if (fraction.length > baseLength) { + throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal places'); + } - return { - div: this.divn(num.words[0]), - mod: new BN(this.modn(num.words[0])) - }; - } + while (fraction.length < baseLength) { + fraction += '0'; + } - return this._wordDiv(num, mode); - }; + whole = new BN(whole); + fraction = new BN(fraction); + var wei = whole.mul(base).add(fraction); // eslint-disable-line - // Find `this` / `num` - BN.prototype.div = function div (num) { - return this.divmod(num, 'div', false).div; - }; + if (negative) { + wei = wei.mul(negative1); + } - // Find `this` % `num` - BN.prototype.mod = function mod (num) { - return this.divmod(num, 'mod', false).mod; - }; + return new BN(wei.toString(10), 10); +} - BN.prototype.umod = function umod (num) { - return this.divmod(num, 'mod', true).mod; - }; +module.exports = { + unitMap: unitMap, + numberToString: numberToString, + getValueOfUnit: getValueOfUnit, + fromWei: fromWei, + toWei: toWei +}; - // Find Round(`this` / `num`) - BN.prototype.divRound = function divRound (num) { - var dm = this.divmod(num); +/***/ }, +/* 5 */ +/***/ function(module, exports) { - // Fast case - exact division - if (dm.mod.isZero()) return dm.div; +"use strict"; +'use strict' - var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; +exports.byteLength = byteLength +exports.toByteArray = toByteArray +exports.fromByteArray = fromByteArray - var half = num.ushrn(1); - var r2 = num.andln(1); - var cmp = mod.cmp(half); +var lookup = [] +var revLookup = [] +var Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array - // Round down - if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div; +var code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/' +for (var i = 0, len = code.length; i < len; ++i) { + lookup[i] = code[i] + revLookup[code.charCodeAt(i)] = i +} - // Round up - return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); - }; +// Support decoding URL-safe base64 strings, as Node.js does. +// See: https://en.wikipedia.org/wiki/Base64#URL_applications +revLookup['-'.charCodeAt(0)] = 62 +revLookup['_'.charCodeAt(0)] = 63 - BN.prototype.modn = function modn (num) { - assert(num <= 0x3ffffff); - var p = (1 << 26) % num; +function getLens (b64) { + var len = b64.length - var acc = 0; - for (var i = this.length - 1; i >= 0; i--) { - acc = (p * acc + (this.words[i] | 0)) % num; - } + if (len % 4 > 0) { + throw new Error('Invalid string. Length must be a multiple of 4') + } - return acc; - }; + // Trim off extra bytes after placeholder bytes are found + // See: https://github.com/beatgammit/base64-js/issues/42 + var validLen = b64.indexOf('=') + if (validLen === -1) validLen = len - // In-place division by number - BN.prototype.idivn = function idivn (num) { - assert(num <= 0x3ffffff); + var placeHoldersLen = validLen === len + ? 0 + : 4 - (validLen % 4) - 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 [validLen, placeHoldersLen] +} - return this.strip(); - }; +// base64 is 4/3 + up to two characters of the original data +function byteLength (b64) { + var lens = getLens(b64) + var validLen = lens[0] + var placeHoldersLen = lens[1] + return ((validLen + placeHoldersLen) * 3 / 4) - placeHoldersLen +} - BN.prototype.divn = function divn (num) { - return this.clone().idivn(num); - }; +function _byteLength (b64, validLen, placeHoldersLen) { + return ((validLen + placeHoldersLen) * 3 / 4) - placeHoldersLen +} - BN.prototype.egcd = function egcd (p) { - assert(p.negative === 0); - assert(!p.isZero()); +function toByteArray (b64) { + var tmp + var lens = getLens(b64) + var validLen = lens[0] + var placeHoldersLen = lens[1] - var x = this; - var y = p.clone(); + var arr = new Arr(_byteLength(b64, validLen, placeHoldersLen)) - if (x.negative !== 0) { - x = x.umod(p); - } else { - x = x.clone(); - } + var curByte = 0 - // A * x + B * y = x - var A = new BN(1); - var B = new BN(0); + // if there are placeholders, only get up to the last complete 4 chars + var len = placeHoldersLen > 0 + ? validLen - 4 + : validLen - // C * x + D * y = y - var C = new BN(0); - var D = new BN(1); + var i + for (i = 0; i < len; i += 4) { + tmp = + (revLookup[b64.charCodeAt(i)] << 18) | + (revLookup[b64.charCodeAt(i + 1)] << 12) | + (revLookup[b64.charCodeAt(i + 2)] << 6) | + revLookup[b64.charCodeAt(i + 3)] + arr[curByte++] = (tmp >> 16) & 0xFF + arr[curByte++] = (tmp >> 8) & 0xFF + arr[curByte++] = tmp & 0xFF + } - var g = 0; + if (placeHoldersLen === 2) { + tmp = + (revLookup[b64.charCodeAt(i)] << 2) | + (revLookup[b64.charCodeAt(i + 1)] >> 4) + arr[curByte++] = tmp & 0xFF + } - while (x.isEven() && y.isEven()) { - x.iushrn(1); - y.iushrn(1); - ++g; - } + if (placeHoldersLen === 1) { + tmp = + (revLookup[b64.charCodeAt(i)] << 10) | + (revLookup[b64.charCodeAt(i + 1)] << 4) | + (revLookup[b64.charCodeAt(i + 2)] >> 2) + arr[curByte++] = (tmp >> 8) & 0xFF + arr[curByte++] = tmp & 0xFF + } - var yp = y.clone(); - var xp = x.clone(); + return arr +} - 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); - } +function tripletToBase64 (num) { + return lookup[num >> 18 & 0x3F] + + lookup[num >> 12 & 0x3F] + + lookup[num >> 6 & 0x3F] + + lookup[num & 0x3F] +} - A.iushrn(1); - B.iushrn(1); - } - } +function encodeChunk (uint8, start, end) { + var tmp + var output = [] + for (var i = start; i < end; i += 3) { + tmp = + ((uint8[i] << 16) & 0xFF0000) + + ((uint8[i + 1] << 8) & 0xFF00) + + (uint8[i + 2] & 0xFF) + output.push(tripletToBase64(tmp)) + } + return output.join('') +} - 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); - } +function fromByteArray (uint8) { + var tmp + var len = uint8.length + var extraBytes = len % 3 // if we have 1 byte left, pad 2 bytes + var parts = [] + var maxChunkLength = 16383 // must be multiple of 3 - C.iushrn(1); - D.iushrn(1); - } - } + // go through the array every three bytes, we'll deal with trailing stuff later + for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) { + parts.push(encodeChunk( + uint8, i, (i + maxChunkLength) > len2 ? len2 : (i + maxChunkLength) + )) + } - if (x.cmp(y) >= 0) { - x.isub(y); - A.isub(C); - B.isub(D); - } else { - y.isub(x); - C.isub(A); - D.isub(B); - } - } + // pad the end with zeros, but make sure to not forget the extra bytes + if (extraBytes === 1) { + tmp = uint8[len - 1] + parts.push( + lookup[tmp >> 2] + + lookup[(tmp << 4) & 0x3F] + + '==' + ) + } else if (extraBytes === 2) { + tmp = (uint8[len - 2] << 8) + uint8[len - 1] + parts.push( + lookup[tmp >> 10] + + lookup[(tmp >> 4) & 0x3F] + + lookup[(tmp << 2) & 0x3F] + + '=' + ) + } - return { - a: C, - b: D, - gcd: y.iushln(g) - }; - }; + return parts.join('') +} - // 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(); +/***/ }, +/* 6 */ +/***/ function(module, exports) { - if (a.negative !== 0) { - a = a.umod(p); - } else { - a = a.clone(); - } +exports.read = function (buffer, offset, isLE, mLen, nBytes) { + var e, m + var eLen = (nBytes * 8) - mLen - 1 + var eMax = (1 << eLen) - 1 + var eBias = eMax >> 1 + var nBits = -7 + var i = isLE ? (nBytes - 1) : 0 + var d = isLE ? -1 : 1 + var s = buffer[offset + i] - var x1 = new BN(1); - var x2 = new BN(0); + i += d - var delta = b.clone(); + e = s & ((1 << (-nBits)) - 1) + s >>= (-nBits) + nBits += eLen + for (; nBits > 0; e = (e * 256) + buffer[offset + i], i += d, nBits -= 8) {} - 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); - } + m = e & ((1 << (-nBits)) - 1) + e >>= (-nBits) + nBits += mLen + for (; nBits > 0; m = (m * 256) + buffer[offset + i], i += d, nBits -= 8) {} - x1.iushrn(1); - } - } + if (e === 0) { + e = 1 - eBias + } else if (e === eMax) { + return m ? NaN : ((s ? -1 : 1) * Infinity) + } else { + m = m + Math.pow(2, mLen) + e = e - eBias + } + return (s ? -1 : 1) * m * Math.pow(2, e - mLen) +} - 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); - } +exports.write = function (buffer, value, offset, isLE, mLen, nBytes) { + var e, m, c + var eLen = (nBytes * 8) - mLen - 1 + var eMax = (1 << eLen) - 1 + var eBias = eMax >> 1 + var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0) + var i = isLE ? 0 : (nBytes - 1) + var d = isLE ? 1 : -1 + var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0 - x2.iushrn(1); - } - } + value = Math.abs(value) - if (a.cmp(b) >= 0) { - a.isub(b); - x1.isub(x2); - } else { - b.isub(a); - x2.isub(x1); - } + if (isNaN(value) || value === Infinity) { + m = isNaN(value) ? 1 : 0 + e = eMax + } else { + e = Math.floor(Math.log(value) / Math.LN2) + if (value * (c = Math.pow(2, -e)) < 1) { + e-- + c *= 2 } - - var res; - if (a.cmpn(1) === 0) { - res = x1; + if (e + eBias >= 1) { + value += rt / c } else { - res = x2; + value += rt * Math.pow(2, 1 - eBias) } - - if (res.cmpn(0) < 0) { - res.iadd(p); + if (value * c >= 2) { + e++ + c /= 2 } - 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); + if (e + eBias >= eMax) { + m = 0 + e = eMax + } else if (e + eBias >= 1) { + m = ((value * c) - 1) * Math.pow(2, mLen) + e = e + eBias + } else { + m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen) + e = 0 } + } - do { - while (a.isEven()) { - a.iushrn(1); - } - while (b.isEven()) { - b.iushrn(1); - } + for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {} - 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; - } + e = (e << mLen) | m + eLen += mLen + for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {} - a.isub(b); - } while (true); + buffer[offset + i - d] |= s * 128 +} - return b.iushln(shift); - }; - // Invert number in the field F(num) - BN.prototype.invm = function invm (num) { - return this.egcd(num).a.umod(num); - }; +/***/ }, +/* 7 */ +/***/ function(module, exports) { - BN.prototype.isEven = function isEven () { - return (this.words[0] & 1) === 0; - }; +/** + * Returns a `Boolean` on whether or not the a `String` starts with '0x' + * @param {String} str the string input value + * @return {Boolean} a boolean if it is or is not hex prefixed + * @throws if the str input is not a string + */ +module.exports = function isHexPrefixed(str) { + if (typeof str !== 'string') { + throw new Error("[is-hex-prefixed] value must be type 'string', is currently type " + (typeof str) + ", while checking isHexPrefixed."); + } - BN.prototype.isOdd = function isOdd () { - return (this.words[0] & 1) === 1; - }; + return str.slice(0, 2) === '0x'; +} - // 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; +/***/ }, +/* 8 */ +/***/ function(module, exports) { - // Fast case: bit is much higher than all existing words - if (this.length <= s) { - this._expand(s + 1); - this.words[s] |= q; - return this; - } +var toString = {}.toString; - // 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; - }; +module.exports = Array.isArray || function (arr) { + return toString.call(arr) == '[object Array]'; +}; - BN.prototype.isZero = function isZero () { - return this.length === 1 && this.words[0] === 0; - }; - BN.prototype.cmpn = function cmpn (num) { - var negative = num < 0; +/***/ }, +/* 9 */ +/***/ function(module, exports, __webpack_require__) { - if (this.negative !== 0 && !negative) return -1; - if (this.negative === 0 && negative) return 1; +/* WEBPACK VAR INJECTION */(function(module) {(function (module, exports) { + 'use strict'; - this.strip(); + // Utils + function assert (val, msg) { + if (!val) throw new Error(msg || 'Assertion failed'); + } - var res; - if (this.length > 1) { - res = 1; - } else { - if (negative) { - num = -num; - } + // 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; + } - assert(num <= 0x3ffffff, 'Number is too big'); + // BN - var w = this.words[0] | 0; - res = w === num ? 0 : w < num ? -1 : 1; + function BN (number, base, endian) { + if (BN.isBN(number)) { + return number; } - 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; + this.negative = 0; + this.words = null; + this.length = 0; - var res = 0; - for (var i = this.length - 1; i >= 0; i--) { - var a = this.words[i] | 0; - var b = num.words[i] | 0; + // Reduction context + this.red = null; - if (a === b) continue; - if (a < b) { - res = -1; - } else if (a > b) { - res = 1; + if (number !== null) { + if (base === 'le' || base === 'be') { + endian = base; + base = 10; } - break; - } - return res; - }; - BN.prototype.gtn = function gtn (num) { - return this.cmpn(num) === 1; - }; + this._init(number || 0, base || 10, endian || 'be'); + } + } + if (typeof module === 'object') { + module.exports = BN; + } else { + exports.BN = BN; + } - BN.prototype.gt = function gt (num) { - return this.cmp(num) === 1; - }; + BN.BN = BN; + BN.wordSize = 26; - BN.prototype.gten = function gten (num) { - return this.cmpn(num) >= 0; - }; + var Buffer; + try { + Buffer = __webpack_require__(0).Buffer; + } catch (e) { + } - BN.prototype.gte = function gte (num) { - return this.cmp(num) >= 0; - }; + BN.isBN = function isBN (num) { + if (num instanceof BN) { + return true; + } - BN.prototype.ltn = function ltn (num) { - return this.cmpn(num) === -1; + return num !== null && typeof num === 'object' && + num.constructor.wordSize === BN.wordSize && Array.isArray(num.words); }; - BN.prototype.lt = function lt (num) { - return this.cmp(num) === -1; + BN.max = function max (left, right) { + if (left.cmp(right) > 0) return left; + return right; }; - BN.prototype.lten = function lten (num) { - return this.cmpn(num) <= 0; + BN.min = function min (left, right) { + if (left.cmp(right) < 0) return left; + return right; }; - BN.prototype.lte = function lte (num) { - return this.cmp(num) <= 0; - }; + BN.prototype._init = function init (number, base, endian) { + if (typeof number === 'number') { + return this._initNumber(number, base, endian); + } - BN.prototype.eqn = function eqn (num) { - return this.cmpn(num) === 0; - }; + if (typeof number === 'object') { + return this._initArray(number, base, endian); + } - BN.prototype.eq = function eq (num) { - return this.cmp(num) === 0; - }; + if (base === 'hex') { + base = 16; + } + assert(base === (base | 0) && base >= 2 && base <= 36); - // - // A reduce context, could be using montgomery or something better, depending - // on the `m` itself. - // - BN.red = function red (num) { - return new Red(num); - }; + number = number.toString().replace(/\s+/g, ''); + var start = 0; + if (number[0] === '-') { + start++; + } - 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); - }; + if (base === 16) { + this._parseHex(number, start); + } else { + this._parseBase(number, base, start); + } - BN.prototype.fromRed = function fromRed () { - assert(this.red, 'fromRed works only with numbers in reduction context'); - return this.red.convertFrom(this); - }; + if (number[0] === '-') { + this.negative = 1; + } - BN.prototype._forceRed = function _forceRed (ctx) { - this.red = ctx; - return this; - }; + this.strip(); - BN.prototype.forceRed = function forceRed (ctx) { - assert(!this.red, 'Already a number in reduction context'); - return this._forceRed(ctx); - }; + if (endian !== 'le') return; - BN.prototype.redAdd = function redAdd (num) { - assert(this.red, 'redAdd works only with red numbers'); - return this.red.add(this, num); + this._initArray(this.toArray(), base, endian); }; - BN.prototype.redIAdd = function redIAdd (num) { - assert(this.red, 'redIAdd works only with red numbers'); - return this.red.iadd(this, num); - }; + 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; + } - BN.prototype.redSub = function redSub (num) { - assert(this.red, 'redSub works only with red numbers'); - return this.red.sub(this, num); - }; + if (endian !== 'le') return; - BN.prototype.redISub = function redISub (num) { - assert(this.red, 'redISub works only with red numbers'); - return this.red.isub(this, num); + // Reverse the bytes + this._initArray(this.toArray(), base, endian); }; - BN.prototype.redShl = function redShl (num) { - assert(this.red, 'redShl works only with red numbers'); - return this.red.shl(this, num); - }; + 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; + } - 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); - }; + 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; + } - 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); + 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(); }; - BN.prototype.redSqr = function redSqr () { - assert(this.red, 'redSqr works only with red numbers'); - this.red._verify1(this); - return this.red.sqr(this); - }; + 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; - BN.prototype.redISqr = function redISqr () { - assert(this.red, 'redISqr works only with red numbers'); - this.red._verify1(this); - return this.red.isqr(this); - }; + r <<= 4; - // 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); - }; + // 'a' - 'f' + if (c >= 49 && c <= 54) { + r |= c - 49 + 0xa; - BN.prototype.redInvm = function redInvm () { - assert(this.red, 'redInvm works only with red numbers'); - this.red._verify1(this); - return this.red.invm(this); - }; + // 'A' - 'F' + } else if (c >= 17 && c <= 22) { + r |= c - 17 + 0xa; - // 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); - }; + // '0' - '9' + } else { + r |= c & 0xf; + } + } + return r; + } - BN.prototype.redPow = function redPow (num) { - assert(this.red && !num.red, 'redPow(normalNum)'); - this.red._verify1(this); - return this.red.pow(this, num); - }; + 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; + } - // Prime numbers with efficient reduction - var primes = { - k256: null, - p224: null, - p192: null, - p25519: null + 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(); }; - // 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); + 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; - this.tmp = this._tmp(); - } + r *= mul; - MPrime.prototype._tmp = function _tmp () { - var tmp = new BN(null); - tmp.words = new Array(Math.ceil(this.n / 13)); - return tmp; - }; + // 'a' + if (c >= 49) { + r += c - 49 + 0xa; - 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; + // 'A' + } else if (c >= 17) { + r += c - 17 + 0xa; - do { - this.split(r, this.tmp); - r = this.imulK(r); - r = r.iadd(this.tmp); - rlen = r.bitLength(); - } while (rlen > this.n); + // '0' - '9' + } else { + r += c; + } + } + return r; + } - 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(); + 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; - return r; - }; + var total = number.length - start; + var mod = total % limbLen; + var end = Math.min(total, total - mod) + start; - MPrime.prototype.split = function split (input, out) { - input.iushrn(this.n, 0, out); - }; + var word = 0; + for (var i = start; i < end; i += limbLen) { + word = parseBase(number, i, i + limbLen, base); - MPrime.prototype.imulK = function imulK (num) { - return num.imul(this.k); - }; + this.imuln(limbPow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } + } - function K256 () { - MPrime.call( - this, - 'k256', - 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); - } - inherits(K256, MPrime); + if (mod !== 0) { + var pow = 1; + word = parseBase(number, i, number.length, base); - K256.prototype.split = function split (input, output) { - // 256 = 9 * 26 + 22 - var mask = 0x3fffff; + for (i = 0; i < mod; i++) { + pow *= base; + } - var outLen = Math.min(input.length, 9); - for (var i = 0; i < outLen; i++) { - output.words[i] = input.words[i]; + this.imuln(pow); + if (this.words[0] + word < 0x4000000) { + this.words[0] += word; + } else { + this._iaddn(word); + } } - output.length = outLen; + }; - if (input.length <= 9) { - input.words[0] = 0; - input.length = 1; - return; + 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; + }; - // Shift by 9 limbs - var prev = input.words[9]; - output.words[output.length++] = prev & mask; + BN.prototype.clone = function clone () { + var r = new BN(null); + this.copy(r); + return r; + }; - 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; + BN.prototype._expand = function _expand (size) { + while (this.length < size) { + this.words[this.length++] = 0; } + return this; }; - 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); + // 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(); + }; - // Fast length reduction - if (num.words[num.length - 1] === 0) { - num.length--; - if (num.words[num.length - 1] === 0) { - num.length--; - } + BN.prototype._normSign = function _normSign () { + // -0 = 0 + if (this.length === 1 && this.words[0] === 0) { + this.negative = 0; } - return num; + return this; }; - function P224 () { - MPrime.call( - this, - 'p224', - 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); - } - inherits(P224, MPrime); + BN.prototype.inspect = function inspect () { + return (this.red ? ''; + }; - 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'); + 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; } - 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; + 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; } - 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]; + 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); - 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); + 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; } - primes[name] = prime; - return prime; + assert(false, 'Base should be between 2 and 36'); }; - // - // 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; + 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'); } - } - - Red.prototype._verify1 = function _verify1 (a) { - assert(a.negative === 0, 'red works only with positives'); - assert(a.red, 'red works only with red numbers'); + return (this.negative !== 0) ? -ret : ret; }; - 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'); + BN.prototype.toJSON = function toJSON () { + return this.toString(16); }; - Red.prototype.imod = function imod (a) { - if (this.prime) return this.prime.ireduce(a)._forceRed(this); - return a.umod(this.m)._forceRed(this); + BN.prototype.toBuffer = function toBuffer (endian, length) { + assert(typeof Buffer !== 'undefined'); + return this.toArrayLike(Buffer, endian, length); }; - Red.prototype.neg = function neg (a) { - if (a.isZero()) { - return a.clone(); - } - - return this.m.sub(a)._forceRed(this); + BN.prototype.toArray = function toArray (endian, length) { + return this.toArrayLike(Array, endian, length); }; - 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); - }; + 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'); - Red.prototype.iadd = function iadd (a, b) { - this._verify2(a, b); + this.strip(); + var littleEndian = endian === 'le'; + var res = new ArrayType(reqLength); - var res = a.iadd(b); - if (res.cmp(this.m) >= 0) { - res.isub(this.m); - } - return res; - }; + var b, i; + var q = this.clone(); + if (!littleEndian) { + // Assume big-endian + for (i = 0; i < reqLength - byteLength; i++) { + res[i] = 0; + } - Red.prototype.sub = function sub (a, b) { - this._verify2(a, b); + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); - var res = a.sub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); - } - return res._forceRed(this); - }; + res[reqLength - i - 1] = b; + } + } else { + for (i = 0; !q.isZero(); i++) { + b = q.andln(0xff); + q.iushrn(8); - Red.prototype.isub = function isub (a, b) { - this._verify2(a, b); + res[i] = b; + } - var res = a.isub(b); - if (res.cmpn(0) < 0) { - res.iadd(this.m); + for (; i < reqLength; i++) { + res[i] = 0; + } } - return res; - }; - Red.prototype.shl = function shl (a, num) { - this._verify1(a); - return this.imod(a.ushln(num)); + return res; }; - Red.prototype.imul = function imul (a, b) { - this._verify2(a, b); - return this.imod(a.imul(b)); - }; + 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; + }; + } - Red.prototype.mul = function mul (a, b) { - this._verify2(a, b); - return this.imod(a.mul(b)); - }; + BN.prototype._zeroBits = function _zeroBits (w) { + // Short-cut + if (w === 0) return 26; - Red.prototype.isqr = function isqr (a) { - return this.imul(a, a.clone()); + 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; }; - Red.prototype.sqr = function sqr (a) { - return this.mul(a, a); + // 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; }; - Red.prototype.sqrt = function sqrt (a) { - if (a.isZero()) return a.clone(); - - var mod3 = this.m.andln(3); - assert(mod3 % 2 === 1); + function toBitArray (num) { + var w = new Array(num.bitLength()); - // Fast case - if (mod3 === 3) { - var pow = this.m.add(new BN(1)).iushrn(2); - return this.pow(a, pow); - } + for (var bit = 0; bit < w.length; bit++) { + var off = (bit / 26) | 0; + var wbit = bit % 26; - // 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); + w[bit] = (num.words[off] & (1 << wbit)) >>> wbit; } - assert(!q.isZero()); - var one = new BN(1).toRed(this); - var nOne = one.redNeg(); + return w; + } - // 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); + // Number of trailing zero bits + BN.prototype.zeroBits = function zeroBits () { + if (this.isZero()) return 0; - while (this.pow(z, lpow).cmp(nOne) !== 0) { - z.redIAdd(nOne); + 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; + }; - 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)); + BN.prototype.byteLength = function byteLength () { + return Math.ceil(this.bitLength() / 8); + }; - r = r.redMul(b); - c = b.redSqr(); - t = t.redMul(c); - m = i; + BN.prototype.toTwos = function toTwos (width) { + if (this.negative !== 0) { + return this.abs().inotn(width).iaddn(1); } - - return r; + return this.clone(); }; - 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); + BN.prototype.fromTwos = function fromTwos (width) { + if (this.testn(width - 1)) { + return this.notn(width).iaddn(1).ineg(); } + return this.clone(); }; - Red.prototype.pow = function pow (a, num) { - if (num.isZero()) return new BN(1); - if (num.cmpn(1) === 0) return a.clone(); + BN.prototype.isNeg = function isNeg () { + return this.negative !== 0; + }; - 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); + // 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; } - var res = wnd[0]; - var current = 0; - var currentLen = 0; - var start = num.bitLength() % 26; - if (start === 0) { - start = 26; + 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 (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); - } + for (var i = 0; i < num.length; i++) { + this.words[i] = this.words[i] | num.words[i]; + } - if (bit === 0 && current === 0) { - currentLen = 0; - continue; - } + return this.strip(); + }; - current <<= 1; - current |= bit; - currentLen++; - if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; + BN.prototype.ior = function ior (num) { + assert((this.negative | num.negative) === 0); + return this.iuor(num); + }; - res = this.mul(res, wnd[current]); - currentLen = 0; - current = 0; - } - start = 26; - } + // 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); + }; - return res; + BN.prototype.uor = function uor (num) { + if (this.length > num.length) return this.clone().iuor(num); + return num.clone().iuor(this); }; - Red.prototype.convertTo = function convertTo (num) { - var r = num.umod(this.m); + // 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; + } - return r === num ? r.clone() : r; + for (var i = 0; i < b.length; i++) { + this.words[i] = this.words[i] & num.words[i]; + } + + this.length = b.length; + + return this.strip(); }; - Red.prototype.convertFrom = function convertFrom (num) { - var res = num.clone(); - res.red = null; - return res; + BN.prototype.iand = function iand (num) { + assert((this.negative | num.negative) === 0); + return this.iuand(num); }; - // - // Montgomery method engine - // + // 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.mont = function mont (num) { - return new Mont(num); + BN.prototype.uand = function uand (num) { + if (this.length > num.length) return this.clone().iuand(num); + return num.clone().iuand(this); }; - function Mont (m) { - Red.call(this, m); + // 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; + } - this.shift = this.m.bitLength(); - if (this.shift % 26 !== 0) { - this.shift += 26 - (this.shift % 26); + for (var i = 0; i < b.length; i++) { + this.words[i] = a.words[i] ^ b.words[i]; } - this.r = new BN(1).iushln(this.shift); - this.r2 = this.imod(this.r.sqr()); - this.rinv = this.r._invmp(this.m); + if (this !== a) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } - 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); + this.length = a.length; - Mont.prototype.convertTo = function convertTo (num) { - return this.imod(num.ushln(this.shift)); + return this.strip(); }; - Mont.prototype.convertFrom = function convertFrom (num) { - var r = this.imod(num.mul(this.rinv)); - r.red = null; - return r; + BN.prototype.ixor = function ixor (num) { + assert((this.negative | num.negative) === 0); + return this.iuxor(num); }; - Mont.prototype.imul = function imul (a, b) { - if (a.isZero() || b.isZero()) { - a.words[0] = 0; - a.length = 1; - return a; + // 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--; } - 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; + // Handle complete words + for (var i = 0; i < bytesNeeded; i++) { + this.words[i] = ~this.words[i] & 0x3ffffff; + } - if (u.cmp(this.m) >= 0) { - res = u.isub(this.m); - } else if (u.cmpn(0) < 0) { - res = u.iadd(this.m); + // Handle the residue + if (bitsLeft > 0) { + this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft)); } - return res._forceRed(this); + // And remove leading zeroes + return this.strip(); + }; + + BN.prototype.notn = function notn (width) { + return this.clone().inotn(width); }; - Mont.prototype.mul = function mul (a, b) { - if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); + // Set `bit` of `this` + BN.prototype.setn = function setn (bit, val) { + assert(typeof bit === 'number' && bit >= 0); - 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); - } + var off = (bit / 26) | 0; + var wbit = bit % 26; - return res._forceRed(this); - }; + this._expand(off + 1); - 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); + if (val) { + this.words[off] = this.words[off] | (1 << wbit); + } else { + this.words[off] = this.words[off] & ~(1 << wbit); + } + + return this.strip(); }; -})(typeof module === 'undefined' || module, this); -/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(10)(module))) + // Add `num` to `this` in-place + BN.prototype.iadd = function iadd (num) { + var r; -/***/ }, -/* 1 */ -/***/ function(module, exports, __webpack_require__) { + // negative + positive + if (this.negative !== 0 && num.negative === 0) { + this.negative = 0; + r = this.isub(num); + this.negative ^= 1; + return this._normSign(); -"use strict"; -/* WEBPACK VAR INJECTION */(function(Buffer, global) {/*! - * The buffer module from node.js, for the browser. - * - * @author Feross Aboukhadijeh - * @license MIT - */ -/* eslint-disable no-proto */ + // positive + negative + } else if (this.negative === 0 && num.negative !== 0) { + num.negative = 0; + r = this.isub(num); + num.negative = 1; + return r._normSign(); + } -'use strict' + // a.length > b.length + var a, b; + if (this.length > num.length) { + a = this; + b = num; + } else { + a = num; + b = this; + } -var base64 = __webpack_require__(4) -var ieee754 = __webpack_require__(5) -var isArray = __webpack_require__(7) + 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; + } -exports.Buffer = Buffer -exports.SlowBuffer = SlowBuffer -exports.INSPECT_MAX_BYTES = 50 + 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]; + } + } -/** - * If `Buffer.TYPED_ARRAY_SUPPORT`: - * === true Use Uint8Array implementation (fastest) - * === false Use Object implementation (most compatible, even IE6) - * - * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+, - * Opera 11.6+, iOS 4.2+. - * - * Due to various browser bugs, sometimes the Object implementation will be used even - * when the browser supports typed arrays. - * - * Note: - * - * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances, - * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438. - * - * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function. - * - * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of - * incorrect length in some situations. + return this; + }; - * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they - * get the Object implementation, which is slower but behaves correctly. - */ -Buffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined - ? global.TYPED_ARRAY_SUPPORT - : typedArraySupport() + // 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; + } -/* - * Export kMaxLength after typed array support is determined. - */ -exports.kMaxLength = kMaxLength() + if (this.length > num.length) return this.clone().iadd(num); -function typedArraySupport () { - try { - var arr = new Uint8Array(1) - arr.__proto__ = {__proto__: Uint8Array.prototype, foo: function () { return 42 }} - return arr.foo() === 42 && // typed array instances can be augmented - typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray` - arr.subarray(1, 1).byteLength === 0 // ie10 has broken `subarray` - } catch (e) { - return false - } -} + return num.clone().iadd(this); + }; -function kMaxLength () { - return Buffer.TYPED_ARRAY_SUPPORT - ? 0x7fffffff - : 0x3fffffff -} + // 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(); -function createBuffer (that, length) { - if (kMaxLength() < length) { - throw new RangeError('Invalid typed array length') - } - if (Buffer.TYPED_ARRAY_SUPPORT) { - // Return an augmented `Uint8Array` instance, for best performance - that = new Uint8Array(length) - that.__proto__ = Buffer.prototype - } else { - // Fallback: Return an object instance of the Buffer class - if (that === null) { - that = new Buffer(length) + // -this - num = -(this + num) + } else if (this.negative !== 0) { + this.negative = 0; + this.iadd(num); + this.negative = 1; + return this._normSign(); } - that.length = length - } - - return that -} -/** - * The Buffer constructor returns instances of `Uint8Array` that have their - * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of - * `Uint8Array`, so the returned instances will have all the node `Buffer` methods - * and the `Uint8Array` methods. Square bracket notation works as expected -- it - * returns a single octet. - * - * The `Uint8Array` prototype remains unmodified. - */ + // At this point both numbers are positive + var cmp = this.cmp(num); -function Buffer (arg, encodingOrOffset, length) { - if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) { - return new Buffer(arg, encodingOrOffset, length) - } + // Optimization - zeroify + if (cmp === 0) { + this.negative = 0; + this.length = 1; + this.words[0] = 0; + return this; + } - // Common case. - if (typeof arg === 'number') { - if (typeof encodingOrOffset === 'string') { - throw new Error( - 'If encoding is specified then the first argument must be a string' - ) + // a > b + var a, b; + if (cmp > 0) { + a = this; + b = num; + } else { + a = num; + b = this; } - return allocUnsafe(this, arg) - } - return from(this, arg, encodingOrOffset, length) -} -Buffer.poolSize = 8192 // not used by this implementation + 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; + } -// TODO: Legacy, not needed anymore. Remove in next major version. -Buffer._augment = function (arr) { - arr.__proto__ = Buffer.prototype - return arr -} + // Copy rest of the words + if (carry === 0 && i < a.length && a !== this) { + for (; i < a.length; i++) { + this.words[i] = a.words[i]; + } + } -function from (that, value, encodingOrOffset, length) { - if (typeof value === 'number') { - throw new TypeError('"value" argument must not be a number') - } + this.length = Math.max(this.length, i); - if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) { - return fromArrayBuffer(that, value, encodingOrOffset, length) - } + if (a !== this) { + this.negative = 1; + } - if (typeof value === 'string') { - return fromString(that, value, encodingOrOffset) - } + return this.strip(); + }; - return fromObject(that, value) -} + // Subtract `num` from `this` + BN.prototype.sub = function sub (num) { + return this.clone().isub(num); + }; -/** - * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError - * if value is a number. - * Buffer.from(str[, encoding]) - * Buffer.from(array) - * Buffer.from(buffer) - * Buffer.from(arrayBuffer[, byteOffset[, length]]) - **/ -Buffer.from = function (value, encodingOrOffset, length) { - return from(null, value, encodingOrOffset, length) -} + 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; -if (Buffer.TYPED_ARRAY_SUPPORT) { - Buffer.prototype.__proto__ = Uint8Array.prototype - Buffer.__proto__ = Uint8Array - if (typeof Symbol !== 'undefined' && Symbol.species && - Buffer[Symbol.species] === Buffer) { - // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97 - Object.defineProperty(Buffer, Symbol.species, { - value: null, - configurable: true - }) - } -} + // 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; -function assertSize (size) { - if (typeof size !== 'number') { - throw new TypeError('"size" argument must be a number') - } else if (size < 0) { - throw new RangeError('"size" argument must not be negative') - } -} + var lo = r & 0x3ffffff; + var carry = (r / 0x4000000) | 0; + out.words[0] = lo; -function alloc (that, size, fill, encoding) { - assertSize(size) - if (size <= 0) { - return createBuffer(that, size) - } - if (fill !== undefined) { - // Only pay attention to encoding if it's a string. This - // prevents accidentally sending in a number that would - // be interpretted as a start offset. - return typeof encoding === 'string' - ? createBuffer(that, size).fill(fill, encoding) - : createBuffer(that, size).fill(fill) + 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(); } - return createBuffer(that, size) -} -/** - * Creates a new filled Buffer instance. - * alloc(size[, fill[, encoding]]) - **/ -Buffer.alloc = function (size, fill, encoding) { - return alloc(null, size, fill, encoding) -} + // 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; -function allocUnsafe (that, size) { - assertSize(size) - that = createBuffer(that, size < 0 ? 0 : checked(size) | 0) - if (!Buffer.TYPED_ARRAY_SUPPORT) { - for (var i = 0; i < size; ++i) { - that[i] = 0 + 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 that -} - -/** - * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance. - * */ -Buffer.allocUnsafe = function (size) { - return allocUnsafe(null, size) -} -/** - * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance. - */ -Buffer.allocUnsafeSlow = function (size) { - return allocUnsafe(null, size) -} - -function fromString (that, string, encoding) { - if (typeof encoding !== 'string' || encoding === '') { - encoding = 'utf8' - } - - if (!Buffer.isEncoding(encoding)) { - throw new TypeError('"encoding" must be a valid string encoding') - } - - var length = byteLength(string, encoding) | 0 - that = createBuffer(that, length) - - var actual = that.write(string, encoding) + return out; + }; - if (actual !== length) { - // Writing a hex string, for example, that contains invalid characters will - // cause everything after the first invalid character to be ignored. (e.g. - // 'abxxcd' will be treated as 'ab') - that = that.slice(0, actual) + // Polyfill comb + if (!Math.imul) { + comb10MulTo = smallMulTo; } - return that -} + function bigMulTo (self, num, out) { + out.negative = num.negative ^ self.negative; + out.length = self.length + num.length; -function fromArrayLike (that, array) { - var length = array.length < 0 ? 0 : checked(array.length) | 0 - that = createBuffer(that, length) - for (var i = 0; i < length; i += 1) { - that[i] = array[i] & 255 - } - return that -} + 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; -function fromArrayBuffer (that, array, byteOffset, length) { - array.byteLength // this throws if `array` is not a valid ArrayBuffer + var lo = r & 0x3ffffff; + ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0; + lo = (lo + rword) | 0; + rword = lo & 0x3ffffff; + ncarry = (ncarry + (lo >>> 26)) | 0; - if (byteOffset < 0 || array.byteLength < byteOffset) { - throw new RangeError('\'offset\' is out of bounds') - } + hncarry += ncarry >>> 26; + ncarry &= 0x3ffffff; + } + out.words[k] = rword; + carry = ncarry; + ncarry = hncarry; + } + if (carry !== 0) { + out.words[k] = carry; + } else { + out.length--; + } - if (array.byteLength < byteOffset + (length || 0)) { - throw new RangeError('\'length\' is out of bounds') + return out.strip(); } - if (byteOffset === undefined && length === undefined) { - array = new Uint8Array(array) - } else if (length === undefined) { - array = new Uint8Array(array, byteOffset) - } else { - array = new Uint8Array(array, byteOffset, length) + function jumboMulTo (self, num, out) { + var fftm = new FFTM(); + return fftm.mulp(self, num, out); } - if (Buffer.TYPED_ARRAY_SUPPORT) { - // Return an augmented `Uint8Array` instance, for best performance - that = array - that.__proto__ = Buffer.prototype - } else { - // Fallback: Return an object instance of the Buffer class - that = fromArrayLike(that, array) - } - return that -} + 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); + } -function fromObject (that, obj) { - if (Buffer.isBuffer(obj)) { - var len = checked(obj.length) | 0 - that = createBuffer(that, len) + return res; + }; - if (that.length === 0) { - return that - } + // Cooley-Tukey algorithm for FFT + // slightly revisited to rely on looping instead of recursion - obj.copy(that, 0, 0, len) - return that + function FFTM (x, y) { + this.x = x; + this.y = y; } - if (obj) { - if ((typeof ArrayBuffer !== 'undefined' && - obj.buffer instanceof ArrayBuffer) || 'length' in obj) { - if (typeof obj.length !== 'number' || isnan(obj.length)) { - return createBuffer(that, 0) - } - return fromArrayLike(that, obj) + 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); } - if (obj.type === 'Buffer' && isArray(obj.data)) { - return fromArrayLike(that, obj.data) + 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; } - } - throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.') -} + return rb; + }; -function checked (length) { - // Note: cannot use `length < kMaxLength()` here because that fails when - // length is NaN (which is otherwise coerced to zero.) - if (length >= kMaxLength()) { - throw new RangeError('Attempt to allocate Buffer larger than maximum ' + - 'size: 0x' + kMaxLength().toString(16) + ' bytes') - } - return length | 0 -} + // 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]]; + } + }; -function SlowBuffer (length) { - if (+length != length) { // eslint-disable-line eqeqeq - length = 0 - } - return Buffer.alloc(+length) -} + FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) { + this.permute(rbt, rws, iws, rtws, itws, N); -Buffer.isBuffer = function isBuffer (b) { - return !!(b != null && b._isBuffer) -} + for (var s = 1; s < N; s <<= 1) { + var l = s << 1; -Buffer.compare = function compare (a, b) { - if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) { - throw new TypeError('Arguments must be Buffers') - } + var rtwdf = Math.cos(2 * Math.PI / l); + var itwdf = Math.sin(2 * Math.PI / l); - if (a === b) return 0 + for (var p = 0; p < N; p += l) { + var rtwdf_ = rtwdf; + var itwdf_ = itwdf; - var x = a.length - var y = b.length + for (var j = 0; j < s; j++) { + var re = rtws[p + j]; + var ie = itws[p + j]; - for (var i = 0, len = Math.min(x, y); i < len; ++i) { - if (a[i] !== b[i]) { - x = a[i] - y = b[i] - break - } - } + var ro = rtws[p + j + s]; + var io = itws[p + j + s]; - if (x < y) return -1 - if (y < x) return 1 - return 0 -} + var rx = rtwdf_ * ro - itwdf_ * io; -Buffer.isEncoding = function isEncoding (encoding) { - switch (String(encoding).toLowerCase()) { - case 'hex': - case 'utf8': - case 'utf-8': - case 'ascii': - case 'latin1': - case 'binary': - case 'base64': - case 'ucs2': - case 'ucs-2': - case 'utf16le': - case 'utf-16le': - return true - default: - return false - } -} + io = rtwdf_ * io + itwdf_ * ro; + ro = rx; -Buffer.concat = function concat (list, length) { - if (!isArray(list)) { - throw new TypeError('"list" argument must be an Array of Buffers') - } + rtws[p + j] = re + ro; + itws[p + j] = ie + io; - if (list.length === 0) { - return Buffer.alloc(0) - } + rtws[p + j + s] = re - ro; + itws[p + j + s] = ie - io; - var i - if (length === undefined) { - length = 0 - for (i = 0; i < list.length; ++i) { - length += list[i].length + /* jshint maxdepth : false */ + if (j !== l) { + rx = rtwdf * rtwdf_ - itwdf * itwdf_; + + itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_; + rtwdf_ = rx; + } + } + } } - } + }; - var buffer = Buffer.allocUnsafe(length) - var pos = 0 - for (i = 0; i < list.length; ++i) { - var buf = list[i] - if (!Buffer.isBuffer(buf)) { - throw new TypeError('"list" argument must be an Array of Buffers') + 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++; } - buf.copy(buffer, pos) - pos += buf.length - } - return buffer -} -function byteLength (string, encoding) { - if (Buffer.isBuffer(string)) { - return string.length - } - if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' && - (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) { - return string.byteLength - } - if (typeof string !== 'string') { - string = '' + string - } + return 1 << i + 1 + odd; + }; - var len = string.length - if (len === 0) return 0 + FFTM.prototype.conjugate = function conjugate (rws, iws, N) { + if (N <= 1) return; - // Use a for loop to avoid recursion - var loweredCase = false - for (;;) { - switch (encoding) { - case 'ascii': - case 'latin1': - case 'binary': - return len - case 'utf8': - case 'utf-8': - case undefined: - return utf8ToBytes(string).length - case 'ucs2': - case 'ucs-2': - case 'utf16le': - case 'utf-16le': - return len * 2 - case 'hex': - return len >>> 1 - case 'base64': - return base64ToBytes(string).length - default: - if (loweredCase) return utf8ToBytes(string).length // assume utf8 - encoding = ('' + encoding).toLowerCase() - loweredCase = true + 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; } - } -} -Buffer.byteLength = byteLength + }; -function slowToString (encoding, start, end) { - var loweredCase = false + 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; - // No need to verify that "this.length <= MAX_UINT32" since it's a read-only - // property of a typed array. + ws[i] = w & 0x3ffffff; - // This behaves neither like String nor Uint8Array in that we set start/end - // to their upper/lower bounds if the value passed is out of range. - // undefined is handled specially as per ECMA-262 6th Edition, - // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization. - if (start === undefined || start < 0) { - start = 0 - } - // Return early if start > this.length. Done here to prevent potential uint32 - // coercion fail below. - if (start > this.length) { - return '' - } + if (w < 0x4000000) { + carry = 0; + } else { + carry = w / 0x4000000 | 0; + } + } - if (end === undefined || end > this.length) { - end = this.length - } + return ws; + }; - if (end <= 0) { - return '' - } + FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) { + var carry = 0; + for (var i = 0; i < len; i++) { + carry = carry + (ws[i] | 0); - // Force coersion to uint32. This will also coerce falsey/NaN values to 0. - end >>>= 0 - start >>>= 0 + rws[2 * i] = carry & 0x1fff; carry = carry >>> 13; + rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13; + } - if (end <= start) { - return '' - } + // Pad with zeroes + for (i = 2 * len; i < N; ++i) { + rws[i] = 0; + } - if (!encoding) encoding = 'utf8' + assert(carry === 0); + assert((carry & ~0x1fff) === 0); + }; - while (true) { - switch (encoding) { - case 'hex': - return hexSlice(this, start, end) + FFTM.prototype.stub = function stub (N) { + var ph = new Array(N); + for (var i = 0; i < N; i++) { + ph[i] = 0; + } - case 'utf8': - case 'utf-8': - return utf8Slice(this, start, end) + return ph; + }; - case 'ascii': - return asciiSlice(this, start, end) + FFTM.prototype.mulp = function mulp (x, y, out) { + var N = 2 * this.guessLen13b(x.length, y.length); - case 'latin1': - case 'binary': - return latin1Slice(this, start, end) + var rbt = this.makeRBT(N); - case 'base64': - return base64Slice(this, start, end) + var _ = this.stub(N); - case 'ucs2': - case 'ucs-2': - case 'utf16le': - case 'utf-16le': - return utf16leSlice(this, start, end) + var rws = new Array(N); + var rwst = new Array(N); + var iwst = new Array(N); - default: - if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding) - encoding = (encoding + '').toLowerCase() - loweredCase = true - } - } -} + var nrws = new Array(N); + var nrwst = new Array(N); + var niwst = new Array(N); -// The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect -// Buffer instances. -Buffer.prototype._isBuffer = true + var rmws = out.words; + rmws.length = N; -function swap (b, n, m) { - var i = b[n] - b[n] = b[m] - b[m] = i -} + this.convert13b(x.words, x.length, rws, N); + this.convert13b(y.words, y.length, nrws, N); -Buffer.prototype.swap16 = function swap16 () { - var len = this.length - if (len % 2 !== 0) { - throw new RangeError('Buffer size must be a multiple of 16-bits') - } - for (var i = 0; i < len; i += 2) { - swap(this, i, i + 1) - } - return this -} + this.transform(rws, _, rwst, iwst, N, rbt); + this.transform(nrws, _, nrwst, niwst, N, rbt); -Buffer.prototype.swap32 = function swap32 () { - var len = this.length - if (len % 4 !== 0) { - throw new RangeError('Buffer size must be a multiple of 32-bits') - } - for (var i = 0; i < len; i += 4) { - swap(this, i, i + 3) - swap(this, i + 1, i + 2) - } - return this -} + 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; + } -Buffer.prototype.swap64 = function swap64 () { - var len = this.length - if (len % 8 !== 0) { - throw new RangeError('Buffer size must be a multiple of 64-bits') - } - for (var i = 0; i < len; i += 8) { - swap(this, i, i + 7) - swap(this, i + 1, i + 6) - swap(this, i + 2, i + 5) - swap(this, i + 3, i + 4) - } - return this -} + this.conjugate(rwst, iwst, N); + this.transform(rwst, iwst, rmws, _, N, rbt); + this.conjugate(rmws, _, N); + this.normalize13b(rmws, N); -Buffer.prototype.toString = function toString () { - var length = this.length | 0 - if (length === 0) return '' - if (arguments.length === 0) return utf8Slice(this, 0, length) - return slowToString.apply(this, arguments) -} + out.negative = x.negative ^ y.negative; + out.length = x.length + y.length; + return out.strip(); + }; -Buffer.prototype.equals = function equals (b) { - if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer') - if (this === b) return true - return Buffer.compare(this, b) === 0 -} + // 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); + }; -Buffer.prototype.inspect = function inspect () { - var str = '' - var max = exports.INSPECT_MAX_BYTES - if (this.length > 0) { - str = this.toString('hex', 0, max).match(/.{2}/g).join(' ') - if (this.length > max) str += ' ... ' - } - return '' -} + // 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); + }; -Buffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) { - if (!Buffer.isBuffer(target)) { - throw new TypeError('Argument must be a Buffer') - } + // In-place Multiplication + BN.prototype.imul = function imul (num) { + return this.clone().mulTo(num, this); + }; - if (start === undefined) { - start = 0 - } - if (end === undefined) { - end = target ? target.length : 0 - } - if (thisStart === undefined) { - thisStart = 0 - } - if (thisEnd === undefined) { - thisEnd = this.length - } + BN.prototype.imuln = function imuln (num) { + assert(typeof num === 'number'); + assert(num < 0x4000000); - if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) { - throw new RangeError('out of range index') - } + // 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 (thisStart >= thisEnd && start >= end) { - return 0 - } - if (thisStart >= thisEnd) { - return -1 - } - if (start >= end) { - return 1 - } + if (carry !== 0) { + this.words[i] = carry; + this.length++; + } + + return this; + }; - start >>>= 0 - end >>>= 0 - thisStart >>>= 0 - thisEnd >>>= 0 + BN.prototype.muln = function muln (num) { + return this.clone().imuln(num); + }; - if (this === target) return 0 + // `this` * `this` + BN.prototype.sqr = function sqr () { + return this.mul(this); + }; - var x = thisEnd - thisStart - var y = end - start - var len = Math.min(x, y) + // `this` * `this` in-place + BN.prototype.isqr = function isqr () { + return this.imul(this.clone()); + }; - var thisCopy = this.slice(thisStart, thisEnd) - var targetCopy = target.slice(start, end) + // Math.pow(`this`, `num`) + BN.prototype.pow = function pow (num) { + var w = toBitArray(num); + if (w.length === 0) return new BN(1); - for (var i = 0; i < len; ++i) { - if (thisCopy[i] !== targetCopy[i]) { - x = thisCopy[i] - y = targetCopy[i] - break + // Skip leading zeroes + var res = this; + for (var i = 0; i < w.length; i++, res = res.sqr()) { + if (w[i] !== 0) break; } - } - if (x < y) return -1 - if (y < x) return 1 - return 0 -} + if (++i < w.length) { + for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) { + if (w[i] === 0) continue; -// Finds either the first index of `val` in `buffer` at offset >= `byteOffset`, -// OR the last index of `val` in `buffer` at offset <= `byteOffset`. -// -// Arguments: -// - buffer - a Buffer to search -// - val - a string, Buffer, or number -// - byteOffset - an index into `buffer`; will be clamped to an int32 -// - encoding - an optional encoding, relevant is val is a string -// - dir - true for indexOf, false for lastIndexOf -function bidirectionalIndexOf (buffer, val, byteOffset, encoding, dir) { - // Empty buffer means no match - if (buffer.length === 0) return -1 + res = res.mul(q); + } + } - // Normalize byteOffset - if (typeof byteOffset === 'string') { - encoding = byteOffset - byteOffset = 0 - } else if (byteOffset > 0x7fffffff) { - byteOffset = 0x7fffffff - } else if (byteOffset < -0x80000000) { - byteOffset = -0x80000000 - } - byteOffset = +byteOffset // Coerce to Number. - if (isNaN(byteOffset)) { - // byteOffset: it it's undefined, null, NaN, "foo", etc, search whole buffer - byteOffset = dir ? 0 : (buffer.length - 1) - } + return res; + }; - // Normalize byteOffset: negative offsets start from the end of the buffer - if (byteOffset < 0) byteOffset = buffer.length + byteOffset - if (byteOffset >= buffer.length) { - if (dir) return -1 - else byteOffset = buffer.length - 1 - } else if (byteOffset < 0) { - if (dir) byteOffset = 0 - else return -1 - } + // 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; - // Normalize val - if (typeof val === 'string') { - val = Buffer.from(val, encoding) - } + if (r !== 0) { + var carry = 0; - // Finally, search either indexOf (if dir is true) or lastIndexOf - if (Buffer.isBuffer(val)) { - // Special case: looking for empty string/buffer always fails - if (val.length === 0) { - return -1 - } - return arrayIndexOf(buffer, val, byteOffset, encoding, dir) - } else if (typeof val === 'number') { - val = val & 0xFF // Search for a byte value [0-255] - if (Buffer.TYPED_ARRAY_SUPPORT && - typeof Uint8Array.prototype.indexOf === 'function') { - if (dir) { - return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset) - } else { - return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset) + 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); } - } - return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir) - } - throw new TypeError('val must be string, number or Buffer') -} + if (carry) { + this.words[i] = carry; + this.length++; + } + } -function arrayIndexOf (arr, val, byteOffset, encoding, dir) { - var indexSize = 1 - var arrLength = arr.length - var valLength = val.length + if (s !== 0) { + for (i = this.length - 1; i >= 0; i--) { + this.words[i + s] = this.words[i]; + } - if (encoding !== undefined) { - encoding = String(encoding).toLowerCase() - if (encoding === 'ucs2' || encoding === 'ucs-2' || - encoding === 'utf16le' || encoding === 'utf-16le') { - if (arr.length < 2 || val.length < 2) { - return -1 + for (i = 0; i < s; i++) { + this.words[i] = 0; } - indexSize = 2 - arrLength /= 2 - valLength /= 2 - byteOffset /= 2 + + this.length += s; } - } - function read (buf, i) { - if (indexSize === 1) { - return buf[i] + 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 { - return buf.readUInt16BE(i * indexSize) + h = 0; } - } - var i - if (dir) { - var foundIndex = -1 - for (i = byteOffset; i < arrLength; i++) { - if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) { - if (foundIndex === -1) foundIndex = i - if (i - foundIndex + 1 === valLength) return foundIndex * indexSize - } else { - if (foundIndex !== -1) i -= i - foundIndex - foundIndex = -1 + 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; } - } else { - if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength - for (i = byteOffset; i >= 0; i--) { - var found = true - for (var j = 0; j < valLength; j++) { - if (read(arr, i + j) !== read(val, j)) { - found = false - break - } + + 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]; } - if (found) return i + } else { + this.words[0] = 0; + this.length = 1; } - } - return -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; + } -Buffer.prototype.includes = function includes (val, byteOffset, encoding) { - return this.indexOf(val, byteOffset, encoding) !== -1 -} + // Push carried bits as a mask + if (maskedWords && carry !== 0) { + maskedWords.words[maskedWords.length++] = carry; + } -Buffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) { - return bidirectionalIndexOf(this, val, byteOffset, encoding, true) -} + if (this.length === 0) { + this.words[0] = 0; + this.length = 1; + } -Buffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) { - return bidirectionalIndexOf(this, val, byteOffset, encoding, false) -} + return this.strip(); + }; -function hexWrite (buf, string, offset, length) { - offset = Number(offset) || 0 - var remaining = buf.length - offset - if (!length) { - length = remaining - } else { - length = Number(length) - if (length > remaining) { - length = remaining - } - } + BN.prototype.ishrn = function ishrn (bits, hint, extended) { + // TODO(indutny): implement me + assert(this.negative === 0); + return this.iushrn(bits, hint, extended); + }; - // must be an even number of digits - var strLen = string.length - if (strLen % 2 !== 0) throw new TypeError('Invalid hex string') + // Shift-left + BN.prototype.shln = function shln (bits) { + return this.clone().ishln(bits); + }; - if (length > strLen / 2) { - length = strLen / 2 - } - for (var i = 0; i < length; ++i) { - var parsed = parseInt(string.substr(i * 2, 2), 16) - if (isNaN(parsed)) return i - buf[offset + i] = parsed - } - return i -} + BN.prototype.ushln = function ushln (bits) { + return this.clone().iushln(bits); + }; -function utf8Write (buf, string, offset, length) { - return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length) -} + // Shift-right + BN.prototype.shrn = function shrn (bits) { + return this.clone().ishrn(bits); + }; -function asciiWrite (buf, string, offset, length) { - return blitBuffer(asciiToBytes(string), buf, offset, length) -} + BN.prototype.ushrn = function ushrn (bits) { + return this.clone().iushrn(bits); + }; -function latin1Write (buf, string, offset, length) { - return asciiWrite(buf, string, offset, length) -} + // 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; -function base64Write (buf, string, offset, length) { - return blitBuffer(base64ToBytes(string), buf, offset, length) -} + // Fast case: bit is much higher than all existing words + if (this.length <= s) return false; -function ucs2Write (buf, string, offset, length) { - return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length) -} + // Check bit and return + var w = this.words[s]; -Buffer.prototype.write = function write (string, offset, length, encoding) { - // Buffer#write(string) - if (offset === undefined) { - encoding = 'utf8' - length = this.length - offset = 0 - // Buffer#write(string, encoding) - } else if (length === undefined && typeof offset === 'string') { - encoding = offset - length = this.length - offset = 0 - // Buffer#write(string, offset[, length][, encoding]) - } else if (isFinite(offset)) { - offset = offset | 0 - if (isFinite(length)) { - length = length | 0 - if (encoding === undefined) encoding = 'utf8' - } else { - encoding = length - length = undefined - } - // legacy write(string, encoding, offset, length) - remove in v0.13 - } else { - throw new Error( - 'Buffer.write(string, encoding, offset[, length]) is no longer supported' - ) - } + return !!(w & q); + }; - var remaining = this.length - offset - if (length === undefined || length > remaining) length = remaining + // 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; - if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) { - throw new RangeError('Attempt to write outside buffer bounds') - } + assert(this.negative === 0, 'imaskn works only with positive numbers'); - if (!encoding) encoding = 'utf8' + if (this.length <= s) { + return this; + } - var loweredCase = false - for (;;) { - switch (encoding) { - case 'hex': - return hexWrite(this, string, offset, length) + if (r !== 0) { + s++; + } + this.length = Math.min(s, this.length); - case 'utf8': - case 'utf-8': - return utf8Write(this, string, offset, length) + if (r !== 0) { + var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r); + this.words[this.length - 1] &= mask; + } - case 'ascii': - return asciiWrite(this, string, offset, length) + return this.strip(); + }; - case 'latin1': - case 'binary': - return latin1Write(this, string, offset, length) + // Return only lowers bits of number + BN.prototype.maskn = function maskn (bits) { + return this.clone().imaskn(bits); + }; - case 'base64': - // Warning: maxLength not taken into account in base64Write - return base64Write(this, string, offset, length) + // 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); - case 'ucs2': - case 'ucs-2': - case 'utf16le': - case 'utf-16le': - return ucs2Write(this, string, offset, length) + // 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; + } - default: - if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding) - encoding = ('' + encoding).toLowerCase() - loweredCase = true + this.negative = 0; + this.isubn(num); + this.negative = 1; + return this; } - } -} -Buffer.prototype.toJSON = function toJSON () { - return { - type: 'Buffer', - data: Array.prototype.slice.call(this._arr || this, 0) - } -} + // Add without checks + return this._iaddn(num); + }; -function base64Slice (buf, start, end) { - if (start === 0 && end === buf.length) { - return base64.fromByteArray(buf) - } else { - return base64.fromByteArray(buf.slice(start, end)) - } -} + BN.prototype._iaddn = function _iaddn (num) { + this.words[0] += num; -function utf8Slice (buf, start, end) { - end = Math.min(buf.length, end) - var res = [] + // 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); - var i = start - while (i < end) { - var firstByte = buf[i] - var codePoint = null - var bytesPerSequence = (firstByte > 0xEF) ? 4 - : (firstByte > 0xDF) ? 3 - : (firstByte > 0xBF) ? 2 - : 1 + return this; + }; - if (i + bytesPerSequence <= end) { - var secondByte, thirdByte, fourthByte, tempCodePoint + // 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); - switch (bytesPerSequence) { - case 1: - if (firstByte < 0x80) { - codePoint = firstByte - } - break - case 2: - secondByte = buf[i + 1] - if ((secondByte & 0xC0) === 0x80) { - tempCodePoint = (firstByte & 0x1F) << 0x6 | (secondByte & 0x3F) - if (tempCodePoint > 0x7F) { - codePoint = tempCodePoint - } - } - break - case 3: - secondByte = buf[i + 1] - thirdByte = buf[i + 2] - if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) { - tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | (thirdByte & 0x3F) - if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) { - codePoint = tempCodePoint - } - } - break - case 4: - secondByte = buf[i + 1] - thirdByte = buf[i + 2] - fourthByte = buf[i + 3] - if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) { - tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | (fourthByte & 0x3F) - if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) { - codePoint = tempCodePoint - } - } - } + if (this.negative !== 0) { + this.negative = 0; + this.iaddn(num); + this.negative = 1; + return this; } - if (codePoint === null) { - // we did not generate a valid codePoint so insert a - // replacement char (U+FFFD) and advance only 1 byte - codePoint = 0xFFFD - bytesPerSequence = 1 - } else if (codePoint > 0xFFFF) { - // encode to utf16 (surrogate pair dance) - codePoint -= 0x10000 - res.push(codePoint >>> 10 & 0x3FF | 0xD800) - codePoint = 0xDC00 | codePoint & 0x3FF + 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; + } } - res.push(codePoint) - i += bytesPerSequence - } + return this.strip(); + }; - return decodeCodePointsArray(res) -} + BN.prototype.addn = function addn (num) { + return this.clone().iaddn(num); + }; -// Based on http://stackoverflow.com/a/22747272/680742, the browser with -// the lowest limit is Chrome, with 0x10000 args. -// We go 1 magnitude less, for safety -var MAX_ARGUMENTS_LENGTH = 0x1000 + BN.prototype.subn = function subn (num) { + return this.clone().isubn(num); + }; -function decodeCodePointsArray (codePoints) { - var len = codePoints.length - if (len <= MAX_ARGUMENTS_LENGTH) { - return String.fromCharCode.apply(String, codePoints) // avoid extra slice() - } + BN.prototype.iabs = function iabs () { + this.negative = 0; - // Decode in chunks to avoid "call stack size exceeded". - var res = '' - var i = 0 - while (i < len) { - res += String.fromCharCode.apply( - String, - codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH) - ) - } - return res -} + return this; + }; -function asciiSlice (buf, start, end) { - var ret = '' - end = Math.min(buf.length, end) + BN.prototype.abs = function abs () { + return this.clone().iabs(); + }; - for (var i = start; i < end; ++i) { - ret += String.fromCharCode(buf[i] & 0x7F) - } - return ret -} + BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) { + var len = num.length + shift; + var i; -function latin1Slice (buf, start, end) { - var ret = '' - end = Math.min(buf.length, end) + this._expand(len); - for (var i = start; i < end; ++i) { - ret += String.fromCharCode(buf[i]) - } - return ret -} + 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; + } -function hexSlice (buf, start, end) { - var len = buf.length + if (carry === 0) return this.strip(); - if (!start || start < 0) start = 0 - if (!end || end < 0 || end > len) end = len + // 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; - var out = '' - for (var i = start; i < end; ++i) { - out += toHex(buf[i]) - } - return out -} + return this.strip(); + }; -function utf16leSlice (buf, start, end) { - var bytes = buf.slice(start, end) - var res = '' - for (var i = 0; i < bytes.length; i += 2) { - res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256) - } - return res -} + BN.prototype._wordDiv = function _wordDiv (num, mode) { + var shift = this.length - num.length; -Buffer.prototype.slice = function slice (start, end) { - var len = this.length - start = ~~start - end = end === undefined ? len : ~~end + var a = this.clone(); + var b = num; - if (start < 0) { - start += len - if (start < 0) start = 0 - } else if (start > len) { - start = len - } + // 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; + } - if (end < 0) { - end += len - if (end < 0) end = 0 - } else if (end > len) { - end = len - } + // Initialize quotient + var m = a.length - b.length; + var q; - if (end < start) end = start + 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 newBuf - if (Buffer.TYPED_ARRAY_SUPPORT) { - newBuf = this.subarray(start, end) - newBuf.__proto__ = Buffer.prototype - } else { - var sliceLen = end - start - newBuf = new Buffer(sliceLen, undefined) - for (var i = 0; i < sliceLen; ++i) { - newBuf[i] = this[i + start] + var diff = a.clone()._ishlnsubmul(b, 1, m); + if (diff.negative === 0) { + a = diff; + if (q) { + q.words[m] = 1; + } } - } - return newBuf -} + for (var j = m - 1; j >= 0; j--) { + var qj = (a.words[b.length + j] | 0) * 0x4000000 + + (a.words[b.length + j - 1] | 0); -/* - * Need to make sure that buffer isn't trying to write out of bounds. - */ -function checkOffset (offset, ext, length) { - if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint') - if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length') -} + // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max + // (0x7ffffff) + qj = Math.min((qj / bhi) | 0, 0x3ffffff); -Buffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) { - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) checkOffset(offset, byteLength, this.length) + 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(); - var val = this[offset] - var mul = 1 - var i = 0 - while (++i < byteLength && (mul *= 0x100)) { - val += this[offset + i] * mul - } + // Denormalize + if (mode !== 'div' && shift !== 0) { + a.iushrn(shift); + } - return val -} + return { + div: q || null, + mod: a + }; + }; -Buffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) { - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) { - checkOffset(offset, byteLength, this.length) - } + // 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()); - var val = this[offset + --byteLength] - var mul = 1 - while (byteLength > 0 && (mul *= 0x100)) { - val += this[offset + --byteLength] * mul - } + if (this.isZero()) { + return { + div: new BN(0), + mod: new BN(0) + }; + } - return val -} + var div, mod, res; + if (this.negative !== 0 && num.negative === 0) { + res = this.neg().divmod(num, mode); + + if (mode !== 'mod') { + div = res.div.neg(); + } -Buffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) { - if (!noAssert) checkOffset(offset, 1, this.length) - return this[offset] -} + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.iadd(num); + } + } -Buffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 2, this.length) - return this[offset] | (this[offset + 1] << 8) -} + return { + div: div, + mod: mod + }; + } -Buffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 2, this.length) - return (this[offset] << 8) | this[offset + 1] -} + if (this.negative === 0 && num.negative !== 0) { + res = this.divmod(num.neg(), mode); -Buffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) + if (mode !== 'mod') { + div = res.div.neg(); + } - return ((this[offset]) | - (this[offset + 1] << 8) | - (this[offset + 2] << 16)) + - (this[offset + 3] * 0x1000000) -} + return { + div: div, + mod: res.mod + }; + } -Buffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) + if ((this.negative & num.negative) !== 0) { + res = this.neg().divmod(num.neg(), mode); - return (this[offset] * 0x1000000) + - ((this[offset + 1] << 16) | - (this[offset + 2] << 8) | - this[offset + 3]) -} + if (mode !== 'div') { + mod = res.mod.neg(); + if (positive && mod.negative !== 0) { + mod.isub(num); + } + } -Buffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) { - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) checkOffset(offset, byteLength, this.length) + return { + div: res.div, + mod: mod + }; + } - var val = this[offset] - var mul = 1 - var i = 0 - while (++i < byteLength && (mul *= 0x100)) { - val += this[offset + i] * mul - } - mul *= 0x80 + // Both numbers are positive at this point - if (val >= mul) val -= Math.pow(2, 8 * byteLength) + // Strip both numbers to approximate shift value + if (num.length > this.length || this.cmp(num) < 0) { + return { + div: new BN(0), + mod: this + }; + } - return val -} + // Very short reduction + if (num.length === 1) { + if (mode === 'div') { + return { + div: this.divn(num.words[0]), + mod: null + }; + } -Buffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) { - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) checkOffset(offset, byteLength, this.length) + if (mode === 'mod') { + return { + div: null, + mod: new BN(this.modn(num.words[0])) + }; + } - var i = byteLength - var mul = 1 - var val = this[offset + --i] - while (i > 0 && (mul *= 0x100)) { - val += this[offset + --i] * mul - } - mul *= 0x80 + return { + div: this.divn(num.words[0]), + mod: new BN(this.modn(num.words[0])) + }; + } - if (val >= mul) val -= Math.pow(2, 8 * byteLength) + return this._wordDiv(num, mode); + }; - return val -} + // Find `this` / `num` + BN.prototype.div = function div (num) { + return this.divmod(num, 'div', false).div; + }; -Buffer.prototype.readInt8 = function readInt8 (offset, noAssert) { - if (!noAssert) checkOffset(offset, 1, this.length) - if (!(this[offset] & 0x80)) return (this[offset]) - return ((0xff - this[offset] + 1) * -1) -} + // Find `this` % `num` + BN.prototype.mod = function mod (num) { + return this.divmod(num, 'mod', false).mod; + }; -Buffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 2, this.length) - var val = this[offset] | (this[offset + 1] << 8) - return (val & 0x8000) ? val | 0xFFFF0000 : val -} + BN.prototype.umod = function umod (num) { + return this.divmod(num, 'mod', true).mod; + }; -Buffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 2, this.length) - var val = this[offset + 1] | (this[offset] << 8) - return (val & 0x8000) ? val | 0xFFFF0000 : val -} + // Find Round(`this` / `num`) + BN.prototype.divRound = function divRound (num) { + var dm = this.divmod(num); -Buffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) + // Fast case - exact division + if (dm.mod.isZero()) return dm.div; - return (this[offset]) | - (this[offset + 1] << 8) | - (this[offset + 2] << 16) | - (this[offset + 3] << 24) -} + var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod; -Buffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) + var half = num.ushrn(1); + var r2 = num.andln(1); + var cmp = mod.cmp(half); - return (this[offset] << 24) | - (this[offset + 1] << 16) | - (this[offset + 2] << 8) | - (this[offset + 3]) -} + // Round down + if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div; -Buffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) - return ieee754.read(this, offset, true, 23, 4) -} + // Round up + return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1); + }; -Buffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 4, this.length) - return ieee754.read(this, offset, false, 23, 4) -} + BN.prototype.modn = function modn (num) { + assert(num <= 0x3ffffff); + var p = (1 << 26) % num; -Buffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 8, this.length) - return ieee754.read(this, offset, true, 52, 8) -} + var acc = 0; + for (var i = this.length - 1; i >= 0; i--) { + acc = (p * acc + (this.words[i] | 0)) % num; + } -Buffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) { - if (!noAssert) checkOffset(offset, 8, this.length) - return ieee754.read(this, offset, false, 52, 8) -} + return acc; + }; -function checkInt (buf, value, offset, ext, max, min) { - if (!Buffer.isBuffer(buf)) throw new TypeError('"buffer" argument must be a Buffer instance') - if (value > max || value < min) throw new RangeError('"value" argument is out of bounds') - if (offset + ext > buf.length) throw new RangeError('Index out of range') -} + // In-place division by number + BN.prototype.idivn = function idivn (num) { + assert(num <= 0x3ffffff); -Buffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) { - value = +value - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) { - var maxBytes = Math.pow(2, 8 * byteLength) - 1 - checkInt(this, value, offset, byteLength, maxBytes, 0) - } + 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; + } - var mul = 1 - var i = 0 - this[offset] = value & 0xFF - while (++i < byteLength && (mul *= 0x100)) { - this[offset + i] = (value / mul) & 0xFF - } + return this.strip(); + }; - return offset + byteLength -} + BN.prototype.divn = function divn (num) { + return this.clone().idivn(num); + }; -Buffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) { - value = +value - offset = offset | 0 - byteLength = byteLength | 0 - if (!noAssert) { - var maxBytes = Math.pow(2, 8 * byteLength) - 1 - checkInt(this, value, offset, byteLength, maxBytes, 0) - } + BN.prototype.egcd = function egcd (p) { + assert(p.negative === 0); + assert(!p.isZero()); - var i = byteLength - 1 - var mul = 1 - this[offset + i] = value & 0xFF - while (--i >= 0 && (mul *= 0x100)) { - this[offset + i] = (value / mul) & 0xFF - } + var x = this; + var y = p.clone(); - return offset + byteLength -} + if (x.negative !== 0) { + x = x.umod(p); + } else { + x = x.clone(); + } -Buffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0) - if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value) - this[offset] = (value & 0xff) - return offset + 1 -} + // A * x + B * y = x + var A = new BN(1); + var B = new BN(0); -function objectWriteUInt16 (buf, value, offset, littleEndian) { - if (value < 0) value = 0xffff + value + 1 - for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) { - buf[offset + i] = (value & (0xff << (8 * (littleEndian ? i : 1 - i)))) >>> - (littleEndian ? i : 1 - i) * 8 - } -} + // C * x + D * y = y + var C = new BN(0); + var D = new BN(1); -Buffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value & 0xff) - this[offset + 1] = (value >>> 8) - } else { - objectWriteUInt16(this, value, offset, true) - } - return offset + 2 -} + var g = 0; -Buffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value >>> 8) - this[offset + 1] = (value & 0xff) - } else { - objectWriteUInt16(this, value, offset, false) - } - return offset + 2 -} + while (x.isEven() && y.isEven()) { + x.iushrn(1); + y.iushrn(1); + ++g; + } -function objectWriteUInt32 (buf, value, offset, littleEndian) { - if (value < 0) value = 0xffffffff + value + 1 - for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) { - buf[offset + i] = (value >>> (littleEndian ? i : 3 - i) * 8) & 0xff - } -} + var yp = y.clone(); + var xp = x.clone(); -Buffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset + 3] = (value >>> 24) - this[offset + 2] = (value >>> 16) - this[offset + 1] = (value >>> 8) - this[offset] = (value & 0xff) - } else { - objectWriteUInt32(this, value, offset, true) - } - return offset + 4 -} + 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); + } -Buffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value >>> 24) - this[offset + 1] = (value >>> 16) - this[offset + 2] = (value >>> 8) - this[offset + 3] = (value & 0xff) - } else { - objectWriteUInt32(this, value, offset, false) - } - return offset + 4 -} + A.iushrn(1); + B.iushrn(1); + } + } -Buffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) { - var limit = Math.pow(2, 8 * byteLength - 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); + } - checkInt(this, value, offset, byteLength, limit - 1, -limit) - } + C.iushrn(1); + D.iushrn(1); + } + } - var i = 0 - var mul = 1 - var sub = 0 - this[offset] = value & 0xFF - while (++i < byteLength && (mul *= 0x100)) { - if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) { - sub = 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); + } } - this[offset + i] = ((value / mul) >> 0) - sub & 0xFF - } - return offset + byteLength -} + return { + a: C, + b: D, + gcd: y.iushln(g) + }; + }; -Buffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) { - var limit = Math.pow(2, 8 * byteLength - 1) + // 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()); - checkInt(this, value, offset, byteLength, limit - 1, -limit) - } + var a = this; + var b = p.clone(); - var i = byteLength - 1 - var mul = 1 - var sub = 0 - this[offset + i] = value & 0xFF - while (--i >= 0 && (mul *= 0x100)) { - if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) { - sub = 1 + if (a.negative !== 0) { + a = a.umod(p); + } else { + a = a.clone(); } - this[offset + i] = ((value / mul) >> 0) - sub & 0xFF - } - return offset + byteLength -} + var x1 = new BN(1); + var x2 = new BN(0); -Buffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80) - if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value) - if (value < 0) value = 0xff + value + 1 - this[offset] = (value & 0xff) - return offset + 1 -} + var delta = b.clone(); -Buffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value & 0xff) - this[offset + 1] = (value >>> 8) - } else { - objectWriteUInt16(this, value, offset, true) - } - return offset + 2 -} + 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); + } -Buffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value >>> 8) - this[offset + 1] = (value & 0xff) - } else { - objectWriteUInt16(this, value, offset, false) - } - return offset + 2 -} + x1.iushrn(1); + } + } -Buffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000) - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value & 0xff) - this[offset + 1] = (value >>> 8) - this[offset + 2] = (value >>> 16) - this[offset + 3] = (value >>> 24) - } else { - objectWriteUInt32(this, value, offset, true) - } - return offset + 4 -} + 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); + } + } -Buffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) { - value = +value - offset = offset | 0 - if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000) - if (value < 0) value = 0xffffffff + value + 1 - if (Buffer.TYPED_ARRAY_SUPPORT) { - this[offset] = (value >>> 24) - this[offset + 1] = (value >>> 16) - this[offset + 2] = (value >>> 8) - this[offset + 3] = (value & 0xff) - } else { - objectWriteUInt32(this, value, offset, false) - } - return offset + 4 -} + var res; + if (a.cmpn(1) === 0) { + res = x1; + } else { + res = x2; + } -function checkIEEE754 (buf, value, offset, ext, max, min) { - if (offset + ext > buf.length) throw new RangeError('Index out of range') - if (offset < 0) throw new RangeError('Index out of range') -} + if (res.cmpn(0) < 0) { + res.iadd(p); + } -function writeFloat (buf, value, offset, littleEndian, noAssert) { - if (!noAssert) { - checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38) - } - ieee754.write(buf, value, offset, littleEndian, 23, 4) - return offset + 4 -} + return res; + }; -Buffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) { - return writeFloat(this, value, offset, true, noAssert) -} + BN.prototype.gcd = function gcd (num) { + if (this.isZero()) return num.abs(); + if (num.isZero()) return this.abs(); -Buffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) { - return writeFloat(this, value, offset, false, noAssert) -} + var a = this.clone(); + var b = num.clone(); + a.negative = 0; + b.negative = 0; -function writeDouble (buf, value, offset, littleEndian, noAssert) { - if (!noAssert) { - checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308) - } - ieee754.write(buf, value, offset, littleEndian, 52, 8) - return offset + 8 -} + // Remove common factor of two + for (var shift = 0; a.isEven() && b.isEven(); shift++) { + a.iushrn(1); + b.iushrn(1); + } -Buffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) { - return writeDouble(this, value, offset, true, noAssert) -} + do { + while (a.isEven()) { + a.iushrn(1); + } + while (b.isEven()) { + b.iushrn(1); + } -Buffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) { - return writeDouble(this, value, offset, false, noAssert) -} + 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; + } -// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length) -Buffer.prototype.copy = function copy (target, targetStart, start, end) { - if (!start) start = 0 - if (!end && end !== 0) end = this.length - if (targetStart >= target.length) targetStart = target.length - if (!targetStart) targetStart = 0 - if (end > 0 && end < start) end = start + a.isub(b); + } while (true); - // Copy 0 bytes; we're done - if (end === start) return 0 - if (target.length === 0 || this.length === 0) return 0 + return b.iushln(shift); + }; - // Fatal error conditions - if (targetStart < 0) { - throw new RangeError('targetStart out of bounds') - } - if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds') - if (end < 0) throw new RangeError('sourceEnd out of bounds') + // Invert number in the field F(num) + BN.prototype.invm = function invm (num) { + return this.egcd(num).a.umod(num); + }; - // Are we oob? - if (end > this.length) end = this.length - if (target.length - targetStart < end - start) { - end = target.length - targetStart + start - } + BN.prototype.isEven = function isEven () { + return (this.words[0] & 1) === 0; + }; - var len = end - start - var i + BN.prototype.isOdd = function isOdd () { + return (this.words[0] & 1) === 1; + }; - if (this === target && start < targetStart && targetStart < end) { - // descending copy from end - for (i = len - 1; i >= 0; --i) { - target[i + targetStart] = this[i + start] - } - } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) { - // ascending copy from start - for (i = 0; i < len; ++i) { - target[i + targetStart] = this[i + start] - } - } else { - Uint8Array.prototype.set.call( - target, - this.subarray(start, start + len), - targetStart - ) - } + // And first word and num + BN.prototype.andln = function andln (num) { + return this.words[0] & num; + }; - return len -} + // 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; -// Usage: -// buffer.fill(number[, offset[, end]]) -// buffer.fill(buffer[, offset[, end]]) -// buffer.fill(string[, offset[, end]][, encoding]) -Buffer.prototype.fill = function fill (val, start, end, encoding) { - // Handle string cases: - if (typeof val === 'string') { - if (typeof start === 'string') { - encoding = start - start = 0 - end = this.length - } else if (typeof end === 'string') { - encoding = end - end = this.length + // Fast case: bit is much higher than all existing words + if (this.length <= s) { + this._expand(s + 1); + this.words[s] |= q; + return this; } - if (val.length === 1) { - var code = val.charCodeAt(0) - if (code < 256) { - val = code - } + + // 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 (encoding !== undefined && typeof encoding !== 'string') { - throw new TypeError('encoding must be a string') + if (carry !== 0) { + this.words[i] = carry; + this.length++; } - if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) { - throw new TypeError('Unknown encoding: ' + encoding) + 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; } - } else if (typeof val === 'number') { - val = val & 255 - } + if (this.negative !== 0) return -res | 0; + return res; + }; - // Invalid ranges are not set to a default, so can range check early. - if (start < 0 || this.length < start || this.length < end) { - throw new RangeError('Out of range index') - } + // 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; - if (end <= start) { - return this - } + 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; + }; - start = start >>> 0 - end = end === undefined ? this.length : end >>> 0 + BN.prototype.gtn = function gtn (num) { + return this.cmpn(num) === 1; + }; - if (!val) val = 0 + BN.prototype.gt = function gt (num) { + return this.cmp(num) === 1; + }; - var i - if (typeof val === 'number') { - for (i = start; i < end; ++i) { - this[i] = val - } - } else { - var bytes = Buffer.isBuffer(val) - ? val - : utf8ToBytes(new Buffer(val, encoding).toString()) - var len = bytes.length - for (i = 0; i < end - start; ++i) { - this[i + start] = bytes[i % len] - } - } + BN.prototype.gten = function gten (num) { + return this.cmpn(num) >= 0; + }; - return this -} + BN.prototype.gte = function gte (num) { + return this.cmp(num) >= 0; + }; -// HELPER FUNCTIONS -// ================ + BN.prototype.ltn = function ltn (num) { + return this.cmpn(num) === -1; + }; -var INVALID_BASE64_RE = /[^+\/0-9A-Za-z-_]/g + BN.prototype.lt = function lt (num) { + return this.cmp(num) === -1; + }; -function base64clean (str) { - // Node strips out invalid characters like \n and \t from the string, base64-js does not - str = stringtrim(str).replace(INVALID_BASE64_RE, '') - // Node converts strings with length < 2 to '' - if (str.length < 2) return '' - // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not - while (str.length % 4 !== 0) { - str = str + '=' - } - return str -} + BN.prototype.lten = function lten (num) { + return this.cmpn(num) <= 0; + }; -function stringtrim (str) { - if (str.trim) return str.trim() - return str.replace(/^\s+|\s+$/g, '') -} + BN.prototype.lte = function lte (num) { + return this.cmp(num) <= 0; + }; -function toHex (n) { - if (n < 16) return '0' + n.toString(16) - return n.toString(16) -} + BN.prototype.eqn = function eqn (num) { + return this.cmpn(num) === 0; + }; -function utf8ToBytes (string, units) { - units = units || Infinity - var codePoint - var length = string.length - var leadSurrogate = null - var bytes = [] + BN.prototype.eq = function eq (num) { + return this.cmp(num) === 0; + }; - for (var i = 0; i < length; ++i) { - codePoint = string.charCodeAt(i) + // + // A reduce context, could be using montgomery or something better, depending + // on the `m` itself. + // + BN.red = function red (num) { + return new Red(num); + }; - // is surrogate component - if (codePoint > 0xD7FF && codePoint < 0xE000) { - // last char was a lead - if (!leadSurrogate) { - // no lead yet - if (codePoint > 0xDBFF) { - // unexpected trail - if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) - continue - } else if (i + 1 === length) { - // unpaired lead - if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) - continue - } + 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); + }; - // valid lead - leadSurrogate = codePoint + BN.prototype.fromRed = function fromRed () { + assert(this.red, 'fromRed works only with numbers in reduction context'); + return this.red.convertFrom(this); + }; - continue - } + BN.prototype._forceRed = function _forceRed (ctx) { + this.red = ctx; + return this; + }; - // 2 leads in a row - if (codePoint < 0xDC00) { - if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) - leadSurrogate = codePoint - continue - } + BN.prototype.forceRed = function forceRed (ctx) { + assert(!this.red, 'Already a number in reduction context'); + return this._forceRed(ctx); + }; - // valid surrogate pair - codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000 - } else if (leadSurrogate) { - // valid bmp char, but last char was a lead - if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD) - } + BN.prototype.redAdd = function redAdd (num) { + assert(this.red, 'redAdd works only with red numbers'); + return this.red.add(this, num); + }; - leadSurrogate = null + BN.prototype.redIAdd = function redIAdd (num) { + assert(this.red, 'redIAdd works only with red numbers'); + return this.red.iadd(this, num); + }; - // encode utf8 - if (codePoint < 0x80) { - if ((units -= 1) < 0) break - bytes.push(codePoint) - } else if (codePoint < 0x800) { - if ((units -= 2) < 0) break - bytes.push( - codePoint >> 0x6 | 0xC0, - codePoint & 0x3F | 0x80 - ) - } else if (codePoint < 0x10000) { - if ((units -= 3) < 0) break - bytes.push( - codePoint >> 0xC | 0xE0, - codePoint >> 0x6 & 0x3F | 0x80, - codePoint & 0x3F | 0x80 - ) - } else if (codePoint < 0x110000) { - if ((units -= 4) < 0) break - bytes.push( - codePoint >> 0x12 | 0xF0, - codePoint >> 0xC & 0x3F | 0x80, - codePoint >> 0x6 & 0x3F | 0x80, - codePoint & 0x3F | 0x80 - ) - } else { - throw new Error('Invalid code point') - } - } + BN.prototype.redSub = function redSub (num) { + assert(this.red, 'redSub works only with red numbers'); + return this.red.sub(this, num); + }; - return bytes -} + BN.prototype.redISub = function redISub (num) { + assert(this.red, 'redISub works only with red numbers'); + return this.red.isub(this, num); + }; -function asciiToBytes (str) { - var byteArray = [] - for (var i = 0; i < str.length; ++i) { - // Node's code seems to be doing this and not & 0x7F.. - byteArray.push(str.charCodeAt(i) & 0xFF) - } - return byteArray -} + BN.prototype.redShl = function redShl (num) { + assert(this.red, 'redShl works only with red numbers'); + return this.red.shl(this, num); + }; -function utf16leToBytes (str, units) { - var c, hi, lo - var byteArray = [] - for (var i = 0; i < str.length; ++i) { - if ((units -= 2) < 0) break + 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); + }; - c = str.charCodeAt(i) - hi = c >> 8 - lo = c % 256 - byteArray.push(lo) - byteArray.push(hi) - } + 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); + }; - return byteArray -} + BN.prototype.redSqr = function redSqr () { + assert(this.red, 'redSqr works only with red numbers'); + this.red._verify1(this); + return this.red.sqr(this); + }; -function base64ToBytes (str) { - return base64.toByteArray(base64clean(str)) -} + BN.prototype.redISqr = function redISqr () { + assert(this.red, 'redISqr works only with red numbers'); + this.red._verify1(this); + return this.red.isqr(this); + }; -function blitBuffer (src, dst, offset, length) { - for (var i = 0; i < length; ++i) { - if ((i + offset >= dst.length) || (i >= src.length)) break - dst[i + offset] = src[i] - } - return i -} + // 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); + }; -function isnan (val) { - return val !== val // eslint-disable-line no-self-compare -} + BN.prototype.redInvm = function redInvm () { + assert(this.red, 'redInvm works only with red numbers'); + this.red._verify1(this); + return this.red.invm(this); + }; -/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(1).Buffer, __webpack_require__(9))) + // 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); + }; -/***/ }, -/* 2 */ -/***/ function(module, exports, __webpack_require__) { + BN.prototype.redPow = function redPow (num) { + assert(this.red && !num.red, 'redPow(normalNum)'); + this.red._verify1(this); + return this.red.pow(this, num); + }; -var BN = __webpack_require__(0); -var stripHexPrefix = __webpack_require__(8); + // Prime numbers with efficient reduction + var primes = { + k256: null, + p224: null, + p192: null, + p25519: null + }; -console.log(new BN('87234987239872349872489724897248972348972389472498728723897234', 16).toString(10)); + // 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); -/** - * Returns a BN object, converts a number value to a BN - * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object - * @return {Object} `output` BN object of the number - * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number - */ -module.exports = function numberToBN(arg) { - if (typeof arg === 'string' || typeof arg === 'number') { - var multiplier = new BN(1); // eslint-disable-line - var formattedString = String(arg).toLowerCase().trim(); - var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x'; - var stringArg = stripHexPrefix(formattedString); // eslint-disable-line - if (stringArg.substr(0, 1) === '-') { - stringArg = stripHexPrefix(stringArg.slice(1)); - multiplier = new BN(-1, 10); - } - stringArg = stringArg === '' ? '0' : stringArg; + this.tmp = this._tmp(); + } - if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/)) - || stringArg.match(/^[a-fA-F]+$/) - || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) { - return new BN(stringArg, 16).mul(multiplier); - } + MPrime.prototype._tmp = function _tmp () { + var tmp = new BN(null); + tmp.words = new Array(Math.ceil(this.n / 13)); + return tmp; + }; - if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) { - return new BN(stringArg, 10).mul(multiplier); - } - } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) { - if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) { - return new BN(arg.toString(10), 10); - } - } + 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; - throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.'); -} + 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(); + } -/***/ }, -/* 3 */ -/***/ function(module, exports, __webpack_require__) { + return r; + }; -"use strict"; -'use strict'; + MPrime.prototype.split = function split (input, out) { + input.iushrn(this.n, 0, out); + }; -var BN = __webpack_require__(0); -var numberToBN = __webpack_require__(2); + MPrime.prototype.imulK = function imulK (num) { + return num.imul(this.k); + }; -var zero = new BN(0); -var negative1 = new BN(-1); + function K256 () { + MPrime.call( + this, + 'k256', + 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f'); + } + inherits(K256, MPrime); -// complete ethereum unit map -var unitMap = { - 'noether': '0', // eslint-disable-line - 'wei': '1', // eslint-disable-line - 'kwei': '1000', // eslint-disable-line - 'Kwei': '1000', // eslint-disable-line - 'babbage': '1000', // eslint-disable-line - 'femtoether': '1000', // eslint-disable-line - 'mwei': '1000000', // eslint-disable-line - 'Mwei': '1000000', // eslint-disable-line - 'lovelace': '1000000', // eslint-disable-line - 'picoether': '1000000', // eslint-disable-line - 'gwei': '1000000000', // eslint-disable-line - 'Gwei': '1000000000', // eslint-disable-line - 'shannon': '1000000000', // eslint-disable-line - 'nanoether': '1000000000', // eslint-disable-line - 'nano': '1000000000', // eslint-disable-line - 'szabo': '1000000000000', // eslint-disable-line - 'microether': '1000000000000', // eslint-disable-line - 'micro': '1000000000000', // eslint-disable-line - 'finney': '1000000000000000', // eslint-disable-line - 'milliether': '1000000000000000', // eslint-disable-line - 'milli': '1000000000000000', // eslint-disable-line - 'ether': '1000000000000000000', // eslint-disable-line - 'kether': '1000000000000000000000', // eslint-disable-line - 'grand': '1000000000000000000000', // eslint-disable-line - 'mether': '1000000000000000000000000', // eslint-disable-line - 'gether': '1000000000000000000000000000', // eslint-disable-line - 'tether': '1000000000000000000000000000000' }; + K256.prototype.split = function split (input, output) { + // 256 = 9 * 26 + 22 + var mask = 0x3fffff; -/** - * Returns value of unit in Wei - * - * @method getValueOfUnit - * @param {String} unit the unit to convert to, default ether - * @returns {BigNumber} value of the unit (in Wei) - * @throws error if the unit is not correct:w - */ -function getValueOfUnit(unitInput) { - var unit = unitInput ? unitInput.toLowerCase() : 'ether'; - var unitValue = unitMap[unit]; // eslint-disable-line + var outLen = Math.min(input.length, 9); + for (var i = 0; i < outLen; i++) { + output.words[i] = input.words[i]; + } + output.length = outLen; - if (typeof unitValue !== 'string') { - throw new Error('[ethjs-unit] the unit provided ' + unitInput + ' doesn\'t exists, please use the one of the following units ' + JSON.stringify(unitMap, null, 2)); - } + if (input.length <= 9) { + input.words[0] = 0; + input.length = 1; + return; + } - return new BN(unitValue, 10); -} + // Shift by 9 limbs + var prev = input.words[9]; + output.words[output.length++] = prev & mask; -function numberToString(arg) { - if (typeof arg === 'string') { - if (!arg.match(/^-?[0-9.]+$/)) { - throw new Error('while converting number to string, invalid number value \'' + arg + '\', should be a number matching (^-?[0-9.]+).'); + for (i = 10; i < input.length; i++) { + var next = input.words[i] | 0; + input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22); + prev = next; } - return arg; - } else if (typeof arg === 'number') { - return String(arg); - } else if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) { - if (arg.toPrecision) { - return String(arg.toPrecision()); + prev >>>= 22; + input.words[i - 10] = prev; + if (prev === 0 && input.length > 10) { + input.length -= 10; } else { - // eslint-disable-line - return arg.toString(10); + input.length -= 9; } - } - throw new Error('while converting number to string, invalid number value \'' + arg + '\' type ' + typeof arg + '.'); -} + }; -function fromWei(weiInput, unit, optionsInput) { - var wei = numberToBN(weiInput); // eslint-disable-line - var negative = wei.lt(zero); // eslint-disable-line - var base = getValueOfUnit(unit); - var baseLength = unitMap[unit].length - 1 || 1; - var options = optionsInput || {}; + K256.prototype.imulK = function imulK (num) { + // K = 0x1000003d1 = [ 0x40, 0x3d1 ] + num.words[num.length] = 0; + num.words[num.length + 1] = 0; + num.length += 2; - if (negative) { - wei = wei.mul(negative1); - } + // 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); + } - var fraction = wei.mod(base).toString(10); // eslint-disable-line + // Fast length reduction + if (num.words[num.length - 1] === 0) { + num.length--; + if (num.words[num.length - 1] === 0) { + num.length--; + } + } + return num; + }; - while (fraction.length < baseLength) { - fraction = '0' + fraction; + function P224 () { + MPrime.call( + this, + 'p224', + 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001'); } + inherits(P224, MPrime); - if (!options.pad) { - fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1]; + function P192 () { + MPrime.call( + this, + 'p192', + 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff'); } + inherits(P192, MPrime); - var whole = wei.div(base).toString(10); // eslint-disable-line - - if (options.commify) { - whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ','); + 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; - var value = '' + whole + (fraction == '0' ? '' : '.' + fraction); // eslint-disable-line + num.words[i] = lo; + carry = hi; + } + if (carry !== 0) { + num.words[num.length++] = carry; + } + return num; + }; - if (negative) { - value = '-' + value; - } + // Exported mostly for testing purposes, use plain name instead + BN._prime = function prime (name) { + // Cached version of prime + if (primes[name]) return primes[name]; - return value; -} + 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; -function toWei(etherInput, unit) { - var ether = numberToString(etherInput); // eslint-disable-line - var base = getValueOfUnit(unit); - var baseLength = unitMap[unit].length - 1 || 1; + return prime; + }; - // Is it negative? - var negative = ether.substring(0, 1) === '-'; // eslint-disable-line - if (negative) { - ether = ether.substring(1); + // + // 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; + } } - if (ether === '.') { - throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, invalid value'); - } + Red.prototype._verify1 = function _verify1 (a) { + assert(a.negative === 0, 'red works only with positives'); + assert(a.red, 'red works only with red numbers'); + }; - // Split it into a whole and fractional part - var comps = ether.split('.'); // eslint-disable-line - if (comps.length > 2) { - throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal points'); - } + 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'); + }; - var whole = comps[0], - fraction = comps[1]; // eslint-disable-line + Red.prototype.imod = function imod (a) { + if (this.prime) return this.prime.ireduce(a)._forceRed(this); + return a.umod(this.m)._forceRed(this); + }; - if (!whole) { - whole = '0'; - } - if (!fraction) { - fraction = '0'; - } - if (fraction.length > baseLength) { - throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal places'); - } + Red.prototype.neg = function neg (a) { + if (a.isZero()) { + return a.clone(); + } - while (fraction.length < baseLength) { - fraction += '0'; - } + return this.m.sub(a)._forceRed(this); + }; - whole = new BN(whole); - fraction = new BN(fraction); - var wei = whole.mul(base).add(fraction); // eslint-disable-line + Red.prototype.add = function add (a, b) { + this._verify2(a, b); - if (negative) { - wei = wei.mul(negative1); - } + var res = a.add(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res._forceRed(this); + }; - return new BN(wei.toString(10), 10); -} + Red.prototype.iadd = function iadd (a, b) { + this._verify2(a, b); -module.exports = { - unitMap: unitMap, - numberToString: numberToString, - getValueOfUnit: getValueOfUnit, - fromWei: fromWei, - toWei: toWei -}; + var res = a.iadd(b); + if (res.cmp(this.m) >= 0) { + res.isub(this.m); + } + return res; + }; -/***/ }, -/* 4 */ -/***/ function(module, exports) { + Red.prototype.sub = function sub (a, b) { + this._verify2(a, b); -"use strict"; -'use strict' + var res = a.sub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res._forceRed(this); + }; -exports.byteLength = byteLength -exports.toByteArray = toByteArray -exports.fromByteArray = fromByteArray + Red.prototype.isub = function isub (a, b) { + this._verify2(a, b); -var lookup = [] -var revLookup = [] -var Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array + var res = a.isub(b); + if (res.cmpn(0) < 0) { + res.iadd(this.m); + } + return res; + }; -var code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/' -for (var i = 0, len = code.length; i < len; ++i) { - lookup[i] = code[i] - revLookup[code.charCodeAt(i)] = i -} + Red.prototype.shl = function shl (a, num) { + this._verify1(a); + return this.imod(a.ushln(num)); + }; -revLookup['-'.charCodeAt(0)] = 62 -revLookup['_'.charCodeAt(0)] = 63 + Red.prototype.imul = function imul (a, b) { + this._verify2(a, b); + return this.imod(a.imul(b)); + }; -function placeHoldersCount (b64) { - var len = b64.length - if (len % 4 > 0) { - throw new Error('Invalid string. Length must be a multiple of 4') - } + Red.prototype.mul = function mul (a, b) { + this._verify2(a, b); + return this.imod(a.mul(b)); + }; - // the number of equal signs (place holders) - // if there are two placeholders, than the two characters before it - // represent one byte - // if there is only one, then the three characters before it represent 2 bytes - // this is just a cheap hack to not do indexOf twice - return b64[len - 2] === '=' ? 2 : b64[len - 1] === '=' ? 1 : 0 -} + Red.prototype.isqr = function isqr (a) { + return this.imul(a, a.clone()); + }; -function byteLength (b64) { - // base64 is 4/3 + up to two characters of the original data - return b64.length * 3 / 4 - placeHoldersCount(b64) -} + Red.prototype.sqr = function sqr (a) { + return this.mul(a, a); + }; -function toByteArray (b64) { - var i, j, l, tmp, placeHolders, arr - var len = b64.length - placeHolders = placeHoldersCount(b64) + Red.prototype.sqrt = function sqrt (a) { + if (a.isZero()) return a.clone(); - arr = new Arr(len * 3 / 4 - placeHolders) + var mod3 = this.m.andln(3); + assert(mod3 % 2 === 1); - // if there are placeholders, only get up to the last complete 4 chars - l = placeHolders > 0 ? len - 4 : len + // Fast case + if (mod3 === 3) { + var pow = this.m.add(new BN(1)).iushrn(2); + return this.pow(a, pow); + } - var L = 0 + // 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()); - for (i = 0, j = 0; i < l; i += 4, j += 3) { - tmp = (revLookup[b64.charCodeAt(i)] << 18) | (revLookup[b64.charCodeAt(i + 1)] << 12) | (revLookup[b64.charCodeAt(i + 2)] << 6) | revLookup[b64.charCodeAt(i + 3)] - arr[L++] = (tmp >> 16) & 0xFF - arr[L++] = (tmp >> 8) & 0xFF - arr[L++] = tmp & 0xFF - } + var one = new BN(1).toRed(this); + var nOne = one.redNeg(); - if (placeHolders === 2) { - tmp = (revLookup[b64.charCodeAt(i)] << 2) | (revLookup[b64.charCodeAt(i + 1)] >> 4) - arr[L++] = tmp & 0xFF - } else if (placeHolders === 1) { - tmp = (revLookup[b64.charCodeAt(i)] << 10) | (revLookup[b64.charCodeAt(i + 1)] << 4) | (revLookup[b64.charCodeAt(i + 2)] >> 2) - arr[L++] = (tmp >> 8) & 0xFF - arr[L++] = tmp & 0xFF - } + // 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); - return arr -} + while (this.pow(z, lpow).cmp(nOne) !== 0) { + z.redIAdd(nOne); + } -function tripletToBase64 (num) { - return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F] -} + 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)); -function encodeChunk (uint8, start, end) { - var tmp - var output = [] - for (var i = start; i < end; i += 3) { - tmp = (uint8[i] << 16) + (uint8[i + 1] << 8) + (uint8[i + 2]) - output.push(tripletToBase64(tmp)) - } - return output.join('') -} + r = r.redMul(b); + c = b.redSqr(); + t = t.redMul(c); + m = i; + } + + return r; + }; -function fromByteArray (uint8) { - var tmp - var len = uint8.length - var extraBytes = len % 3 // if we have 1 byte left, pad 2 bytes - var output = '' - var parts = [] - var maxChunkLength = 16383 // must be multiple of 3 + 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); + } + }; - // go through the array every three bytes, we'll deal with trailing stuff later - for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) { - parts.push(encodeChunk(uint8, i, (i + maxChunkLength) > len2 ? len2 : (i + maxChunkLength))) - } + Red.prototype.pow = function pow (a, num) { + if (num.isZero()) return new BN(1); + if (num.cmpn(1) === 0) return a.clone(); - // pad the end with zeros, but make sure to not forget the extra bytes - if (extraBytes === 1) { - tmp = uint8[len - 1] - output += lookup[tmp >> 2] - output += lookup[(tmp << 4) & 0x3F] - output += '==' - } else if (extraBytes === 2) { - tmp = (uint8[len - 2] << 8) + (uint8[len - 1]) - output += lookup[tmp >> 10] - output += lookup[(tmp >> 4) & 0x3F] - output += lookup[(tmp << 2) & 0x3F] - output += '=' - } + 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); + } - parts.push(output) + var res = wnd[0]; + var current = 0; + var currentLen = 0; + var start = num.bitLength() % 26; + if (start === 0) { + start = 26; + } - return parts.join('') -} + 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; + } -/***/ }, -/* 5 */ -/***/ function(module, exports) { + current <<= 1; + current |= bit; + currentLen++; + if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue; -exports.read = function (buffer, offset, isLE, mLen, nBytes) { - var e, m - var eLen = nBytes * 8 - mLen - 1 - var eMax = (1 << eLen) - 1 - var eBias = eMax >> 1 - var nBits = -7 - var i = isLE ? (nBytes - 1) : 0 - var d = isLE ? -1 : 1 - var s = buffer[offset + i] + res = this.mul(res, wnd[current]); + currentLen = 0; + current = 0; + } + start = 26; + } - i += d + return res; + }; - e = s & ((1 << (-nBits)) - 1) - s >>= (-nBits) - nBits += eLen - for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {} + Red.prototype.convertTo = function convertTo (num) { + var r = num.umod(this.m); - m = e & ((1 << (-nBits)) - 1) - e >>= (-nBits) - nBits += mLen - for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {} + return r === num ? r.clone() : r; + }; - if (e === 0) { - e = 1 - eBias - } else if (e === eMax) { - return m ? NaN : ((s ? -1 : 1) * Infinity) - } else { - m = m + Math.pow(2, mLen) - e = e - eBias - } - return (s ? -1 : 1) * m * Math.pow(2, e - mLen) -} + Red.prototype.convertFrom = function convertFrom (num) { + var res = num.clone(); + res.red = null; + return res; + }; -exports.write = function (buffer, value, offset, isLE, mLen, nBytes) { - var e, m, c - var eLen = nBytes * 8 - mLen - 1 - var eMax = (1 << eLen) - 1 - var eBias = eMax >> 1 - var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0) - var i = isLE ? 0 : (nBytes - 1) - var d = isLE ? 1 : -1 - var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0 + // + // Montgomery method engine + // - value = Math.abs(value) + BN.mont = function mont (num) { + return new Mont(num); + }; - if (isNaN(value) || value === Infinity) { - m = isNaN(value) ? 1 : 0 - e = eMax - } else { - e = Math.floor(Math.log(value) / Math.LN2) - if (value * (c = Math.pow(2, -e)) < 1) { - e-- - c *= 2 - } - if (e + eBias >= 1) { - value += rt / c - } else { - value += rt * Math.pow(2, 1 - eBias) - } - if (value * c >= 2) { - e++ - c /= 2 - } + function Mont (m) { + Red.call(this, m); - if (e + eBias >= eMax) { - m = 0 - e = eMax - } else if (e + eBias >= 1) { - m = (value * c - 1) * Math.pow(2, mLen) - e = e + eBias - } else { - m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen) - e = 0 + this.shift = this.m.bitLength(); + if (this.shift % 26 !== 0) { + this.shift += 26 - (this.shift % 26); } - } - for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {} + this.r = new BN(1).iushln(this.shift); + this.r2 = this.imod(this.r.sqr()); + this.rinv = this.r._invmp(this.m); - e = (e << mLen) | m - eLen += mLen - for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {} + 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); - buffer[offset + i - d] |= s * 128 -} + 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; + }; -/***/ }, -/* 6 */ -/***/ function(module, exports) { + Mont.prototype.imul = function imul (a, b) { + if (a.isZero() || b.isZero()) { + a.words[0] = 0; + a.length = 1; + return a; + } -/** - * Returns a `Boolean` on whether or not the a `String` starts with '0x' - * @param {String} str the string input value - * @return {Boolean} a boolean if it is or is not hex prefixed - * @throws if the str input is not a string - */ -module.exports = function isHexPrefixed(str) { - if (typeof str !== 'string') { - throw new Error("[is-hex-prefixed] value must be type 'string', is currently type " + (typeof str) + ", while checking isHexPrefixed."); - } + 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; - return str.slice(0, 2) === '0x'; -} + 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); + }; -/***/ }, -/* 7 */ -/***/ function(module, exports) { + Mont.prototype.mul = function mul (a, b) { + if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this); -var toString = {}.toString; + 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); + } -module.exports = Array.isArray || function (arr) { - return toString.call(arr) == '[object Array]'; -}; + 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); + }; +})(typeof module === 'undefined' || module, this); + +/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(1)(module))) /***/ }, -/* 8 */ +/* 10 */ /***/ function(module, exports, __webpack_require__) { -var isHexPrefixed = __webpack_require__(6); +var isHexPrefixed = __webpack_require__(7); /** * Removes '0x' from a given `String` is present @@ -5779,7 +9284,7 @@ module.exports = function stripHexPrefix(str) { /***/ }, -/* 9 */ +/* 11 */ /***/ function(module, exports) { var g; @@ -5804,30 +9309,10 @@ module.exports = g; /***/ }, -/* 10 */ +/* 12 */ /***/ 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, - configurable: false, - get: function() { return module.l; } - }); - Object.defineProperty(module, "id", { - enumerable: true, - configurable: false, - get: function() { return module.i; } - }); - module.webpackPolyfill = 1; - } - return module; -} - +/* (ignored) */ /***/ } /******/ ]) diff --git a/dist/ethjs-unit.js.map b/dist/ethjs-unit.js.map index c4fa9e3..5f34ccf 100644 --- a/dist/ethjs-unit.js.map +++ b/dist/ethjs-unit.js.map @@ -1 +1 @@ -{"version":3,"file":"ethjs-unit.js","sources":["webpack:///webpack/universalModuleDefinition","webpack:///webpack/bootstrap 47cfb1a42c8a70ba4d21","webpack:///./~/bn.js/lib/bn.js","webpack:///./~/buffer/index.js","webpack:///./~/number-to-bn/src/index.js","webpack:///lib/index.js","webpack:///./~/base64-js/index.js","webpack:///./~/ieee754/index.js","webpack:///./~/is-hex-prefixed/src/index.js","webpack:///./~/isarray/index.js","webpack:///./~/strip-hex-prefix/src/index.js","webpack:///(webpack)/buildin/global.js","webpack:///(webpack)/buildin/module.js"],"sourcesContent":["(function webpackUniversalModuleDefinition(root, factory) {\n\tif(typeof exports === 'object' && typeof module === 'object')\n\t\tmodule.exports = factory();\n\telse if(typeof define === 'function' && define.amd)\n\t\tdefine(\"ethUnit\", [], factory);\n\telse if(typeof exports === 'object')\n\t\texports[\"ethUnit\"] = factory();\n\telse\n\t\troot[\"ethUnit\"] = factory();\n})(this, function() {\nreturn \n\n\n// WEBPACK FOOTER //\n// webpack/universalModuleDefinition"," \t// The module cache\n \tvar installedModules = {};\n\n \t// The require function\n \tfunction __webpack_require__(moduleId) {\n\n \t\t// Check if module is in cache\n \t\tif(installedModules[moduleId])\n \t\t\treturn installedModules[moduleId].exports;\n\n \t\t// Create a new module (and put it into the cache)\n \t\tvar module = installedModules[moduleId] = {\n \t\t\ti: moduleId,\n \t\t\tl: false,\n \t\t\texports: {}\n \t\t};\n\n \t\t// Execute the module function\n \t\tmodules[moduleId].call(module.exports, module, module.exports, __webpack_require__);\n\n \t\t// Flag the module as loaded\n \t\tmodule.l = true;\n\n \t\t// Return the exports of the module\n \t\treturn module.exports;\n \t}\n\n\n \t// expose the modules object (__webpack_modules__)\n \t__webpack_require__.m = modules;\n\n \t// expose the module cache\n \t__webpack_require__.c = installedModules;\n\n \t// identity function for calling harmory imports with the correct context\n \t__webpack_require__.i = function(value) { return value; 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'';\n };\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16);\n };\n\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n assert(typeof Buffer !== 'undefined');\n return this.toArrayLike(Buffer, endian, length);\n };\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n this.strip();\n var littleEndian = endian === 'le';\n var res = new ArrayType(reqLength);\n\n var b, i;\n var q = this.clone();\n if (!littleEndian) {\n // Assume big-endian\n for (i = 0; i < reqLength - byteLength; i++) {\n res[i] = 0;\n }\n\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[reqLength - i - 1] = b;\n }\n } else {\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[i] = b;\n }\n\n for (; i < reqLength; i++) {\n res[i] = 0;\n }\n }\n\n return res;\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this.strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this.strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this.strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this.strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this.strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this.strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n function jumboMulTo (self, num, out) {\n var fftm = new FFTM();\n return fftm.mulp(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out.strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this.strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) < num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this.strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this.strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this.strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q.strip();\n }\n a.strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modn = function modn (num) {\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return acc;\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n return this.strip();\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this.strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n r.strip();\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n return a.umod(this.m)._forceRed(this);\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/bn.js/lib/bn.js\n// module id = 0\n// module chunks = 0","/*!\n * The buffer module from node.js, for the browser.\n *\n * @author Feross Aboukhadijeh \n * @license MIT\n */\n/* eslint-disable no-proto */\n\n'use strict'\n\nvar base64 = require('base64-js')\nvar ieee754 = require('ieee754')\nvar isArray = require('isarray')\n\nexports.Buffer = Buffer\nexports.SlowBuffer = SlowBuffer\nexports.INSPECT_MAX_BYTES = 50\n\n/**\n * If `Buffer.TYPED_ARRAY_SUPPORT`:\n * === true Use Uint8Array implementation (fastest)\n * === false Use Object implementation (most compatible, even IE6)\n *\n * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,\n * Opera 11.6+, iOS 4.2+.\n *\n * Due to various browser bugs, sometimes the Object implementation will be used even\n * when the browser supports typed arrays.\n *\n * Note:\n *\n * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances,\n * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438.\n *\n * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function.\n *\n * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of\n * incorrect length in some situations.\n\n * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they\n * get the Object implementation, which is slower but behaves correctly.\n */\nBuffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined\n ? global.TYPED_ARRAY_SUPPORT\n : typedArraySupport()\n\n/*\n * Export kMaxLength after typed array support is determined.\n */\nexports.kMaxLength = kMaxLength()\n\nfunction typedArraySupport () {\n try {\n var arr = new Uint8Array(1)\n arr.__proto__ = {__proto__: Uint8Array.prototype, foo: function () { return 42 }}\n return arr.foo() === 42 && // typed array instances can be augmented\n typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray`\n arr.subarray(1, 1).byteLength === 0 // ie10 has broken `subarray`\n } catch (e) {\n return false\n }\n}\n\nfunction kMaxLength () {\n return Buffer.TYPED_ARRAY_SUPPORT\n ? 0x7fffffff\n : 0x3fffffff\n}\n\nfunction createBuffer (that, length) {\n if (kMaxLength() < length) {\n throw new RangeError('Invalid typed array length')\n }\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = new Uint8Array(length)\n that.__proto__ = Buffer.prototype\n } else {\n // Fallback: Return an object instance of the Buffer class\n if (that === null) {\n that = new Buffer(length)\n }\n that.length = length\n }\n\n return that\n}\n\n/**\n * The Buffer constructor returns instances of `Uint8Array` that have their\n * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of\n * `Uint8Array`, so the returned instances will have all the node `Buffer` methods\n * and the `Uint8Array` methods. Square bracket notation works as expected -- it\n * returns a single octet.\n *\n * The `Uint8Array` prototype remains unmodified.\n */\n\nfunction Buffer (arg, encodingOrOffset, length) {\n if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) {\n return new Buffer(arg, encodingOrOffset, length)\n }\n\n // Common case.\n if (typeof arg === 'number') {\n if (typeof encodingOrOffset === 'string') {\n throw new Error(\n 'If encoding is specified then the first argument must be a string'\n )\n }\n return allocUnsafe(this, arg)\n }\n return from(this, arg, encodingOrOffset, length)\n}\n\nBuffer.poolSize = 8192 // not used by this implementation\n\n// TODO: Legacy, not needed anymore. Remove in next major version.\nBuffer._augment = function (arr) {\n arr.__proto__ = Buffer.prototype\n return arr\n}\n\nfunction from (that, value, encodingOrOffset, length) {\n if (typeof value === 'number') {\n throw new TypeError('\"value\" argument must not be a number')\n }\n\n if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) {\n return fromArrayBuffer(that, value, encodingOrOffset, length)\n }\n\n if (typeof value === 'string') {\n return fromString(that, value, encodingOrOffset)\n }\n\n return fromObject(that, value)\n}\n\n/**\n * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError\n * if value is a number.\n * Buffer.from(str[, encoding])\n * Buffer.from(array)\n * Buffer.from(buffer)\n * Buffer.from(arrayBuffer[, byteOffset[, length]])\n **/\nBuffer.from = function (value, encodingOrOffset, length) {\n return from(null, value, encodingOrOffset, length)\n}\n\nif (Buffer.TYPED_ARRAY_SUPPORT) {\n Buffer.prototype.__proto__ = Uint8Array.prototype\n Buffer.__proto__ = Uint8Array\n if (typeof Symbol !== 'undefined' && Symbol.species &&\n Buffer[Symbol.species] === Buffer) {\n // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97\n Object.defineProperty(Buffer, Symbol.species, {\n value: null,\n configurable: true\n })\n }\n}\n\nfunction assertSize (size) {\n if (typeof size !== 'number') {\n throw new TypeError('\"size\" argument must be a number')\n } else if (size < 0) {\n throw new RangeError('\"size\" argument must not be negative')\n }\n}\n\nfunction alloc (that, size, fill, encoding) {\n assertSize(size)\n if (size <= 0) {\n return createBuffer(that, size)\n }\n if (fill !== undefined) {\n // Only pay attention to encoding if it's a string. This\n // prevents accidentally sending in a number that would\n // be interpretted as a start offset.\n return typeof encoding === 'string'\n ? createBuffer(that, size).fill(fill, encoding)\n : createBuffer(that, size).fill(fill)\n }\n return createBuffer(that, size)\n}\n\n/**\n * Creates a new filled Buffer instance.\n * alloc(size[, fill[, encoding]])\n **/\nBuffer.alloc = function (size, fill, encoding) {\n return alloc(null, size, fill, encoding)\n}\n\nfunction allocUnsafe (that, size) {\n assertSize(size)\n that = createBuffer(that, size < 0 ? 0 : checked(size) | 0)\n if (!Buffer.TYPED_ARRAY_SUPPORT) {\n for (var i = 0; i < size; ++i) {\n that[i] = 0\n }\n }\n return that\n}\n\n/**\n * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance.\n * */\nBuffer.allocUnsafe = function (size) {\n return allocUnsafe(null, size)\n}\n/**\n * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance.\n */\nBuffer.allocUnsafeSlow = function (size) {\n return allocUnsafe(null, size)\n}\n\nfunction fromString (that, string, encoding) {\n if (typeof encoding !== 'string' || encoding === '') {\n encoding = 'utf8'\n }\n\n if (!Buffer.isEncoding(encoding)) {\n throw new TypeError('\"encoding\" must be a valid string encoding')\n }\n\n var length = byteLength(string, encoding) | 0\n that = createBuffer(that, length)\n\n var actual = that.write(string, encoding)\n\n if (actual !== length) {\n // Writing a hex string, for example, that contains invalid characters will\n // cause everything after the first invalid character to be ignored. (e.g.\n // 'abxxcd' will be treated as 'ab')\n that = that.slice(0, actual)\n }\n\n return that\n}\n\nfunction fromArrayLike (that, array) {\n var length = array.length < 0 ? 0 : checked(array.length) | 0\n that = createBuffer(that, length)\n for (var i = 0; i < length; i += 1) {\n that[i] = array[i] & 255\n }\n return that\n}\n\nfunction fromArrayBuffer (that, array, byteOffset, length) {\n array.byteLength // this throws if `array` is not a valid ArrayBuffer\n\n if (byteOffset < 0 || array.byteLength < byteOffset) {\n throw new RangeError('\\'offset\\' is out of bounds')\n }\n\n if (array.byteLength < byteOffset + (length || 0)) {\n throw new RangeError('\\'length\\' is out of bounds')\n }\n\n if (byteOffset === undefined && length === undefined) {\n array = new Uint8Array(array)\n } else if (length === undefined) {\n array = new Uint8Array(array, byteOffset)\n } else {\n array = new Uint8Array(array, byteOffset, length)\n }\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = array\n that.__proto__ = Buffer.prototype\n } else {\n // Fallback: Return an object instance of the Buffer class\n that = fromArrayLike(that, array)\n }\n return that\n}\n\nfunction fromObject (that, obj) {\n if (Buffer.isBuffer(obj)) {\n var len = checked(obj.length) | 0\n that = createBuffer(that, len)\n\n if (that.length === 0) {\n return that\n }\n\n obj.copy(that, 0, 0, len)\n return that\n }\n\n if (obj) {\n if ((typeof ArrayBuffer !== 'undefined' &&\n obj.buffer instanceof ArrayBuffer) || 'length' in obj) {\n if (typeof obj.length !== 'number' || isnan(obj.length)) {\n return createBuffer(that, 0)\n }\n return fromArrayLike(that, obj)\n }\n\n if (obj.type === 'Buffer' && isArray(obj.data)) {\n return fromArrayLike(that, obj.data)\n }\n }\n\n throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.')\n}\n\nfunction checked (length) {\n // Note: cannot use `length < kMaxLength()` here because that fails when\n // length is NaN (which is otherwise coerced to zero.)\n if (length >= kMaxLength()) {\n throw new RangeError('Attempt to allocate Buffer larger than maximum ' +\n 'size: 0x' + kMaxLength().toString(16) + ' bytes')\n }\n return length | 0\n}\n\nfunction SlowBuffer (length) {\n if (+length != length) { // eslint-disable-line eqeqeq\n length = 0\n }\n return Buffer.alloc(+length)\n}\n\nBuffer.isBuffer = function isBuffer (b) {\n return !!(b != null && b._isBuffer)\n}\n\nBuffer.compare = function compare (a, b) {\n if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {\n throw new TypeError('Arguments must be Buffers')\n }\n\n if (a === b) return 0\n\n var x = a.length\n var y = b.length\n\n for (var i = 0, len = Math.min(x, y); i < len; ++i) {\n if (a[i] !== b[i]) {\n x = a[i]\n y = b[i]\n break\n }\n }\n\n if (x < y) return -1\n if (y < x) return 1\n return 0\n}\n\nBuffer.isEncoding = function isEncoding (encoding) {\n switch (String(encoding).toLowerCase()) {\n case 'hex':\n case 'utf8':\n case 'utf-8':\n case 'ascii':\n case 'latin1':\n case 'binary':\n case 'base64':\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return true\n default:\n return false\n }\n}\n\nBuffer.concat = function concat (list, length) {\n if (!isArray(list)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers')\n }\n\n if (list.length === 0) {\n return Buffer.alloc(0)\n }\n\n var i\n if (length === undefined) {\n length = 0\n for (i = 0; i < list.length; ++i) {\n length += list[i].length\n }\n }\n\n var buffer = Buffer.allocUnsafe(length)\n var pos = 0\n for (i = 0; i < list.length; ++i) {\n var buf = list[i]\n if (!Buffer.isBuffer(buf)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers')\n }\n buf.copy(buffer, pos)\n pos += buf.length\n }\n return buffer\n}\n\nfunction byteLength (string, encoding) {\n if (Buffer.isBuffer(string)) {\n return string.length\n }\n if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' &&\n (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) {\n return string.byteLength\n }\n if (typeof string !== 'string') {\n string = '' + string\n }\n\n var len = string.length\n if (len === 0) return 0\n\n // Use a for loop to avoid recursion\n var loweredCase = false\n for (;;) {\n switch (encoding) {\n case 'ascii':\n case 'latin1':\n case 'binary':\n return len\n case 'utf8':\n case 'utf-8':\n case undefined:\n return utf8ToBytes(string).length\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return len * 2\n case 'hex':\n return len >>> 1\n case 'base64':\n return base64ToBytes(string).length\n default:\n if (loweredCase) return utf8ToBytes(string).length // assume utf8\n encoding = ('' + encoding).toLowerCase()\n loweredCase = true\n }\n }\n}\nBuffer.byteLength = byteLength\n\nfunction slowToString (encoding, start, end) {\n var loweredCase = false\n\n // No need to verify that \"this.length <= MAX_UINT32\" since it's a read-only\n // property of a typed array.\n\n // This behaves neither like String nor Uint8Array in that we set start/end\n // to their upper/lower bounds if the value passed is out of range.\n // undefined is handled specially as per ECMA-262 6th Edition,\n // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization.\n if (start === undefined || start < 0) {\n start = 0\n }\n // Return early if start > this.length. Done here to prevent potential uint32\n // coercion fail below.\n if (start > this.length) {\n return ''\n }\n\n if (end === undefined || end > this.length) {\n end = this.length\n }\n\n if (end <= 0) {\n return ''\n }\n\n // Force coersion to uint32. This will also coerce falsey/NaN values to 0.\n end >>>= 0\n start >>>= 0\n\n if (end <= start) {\n return ''\n }\n\n if (!encoding) encoding = 'utf8'\n\n while (true) {\n switch (encoding) {\n case 'hex':\n return hexSlice(this, start, end)\n\n case 'utf8':\n case 'utf-8':\n return utf8Slice(this, start, end)\n\n case 'ascii':\n return asciiSlice(this, start, end)\n\n case 'latin1':\n case 'binary':\n return latin1Slice(this, start, end)\n\n case 'base64':\n return base64Slice(this, start, end)\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return utf16leSlice(this, start, end)\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)\n encoding = (encoding + '').toLowerCase()\n loweredCase = true\n }\n }\n}\n\n// The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect\n// Buffer instances.\nBuffer.prototype._isBuffer = true\n\nfunction swap (b, n, m) {\n var i = b[n]\n b[n] = b[m]\n b[m] = i\n}\n\nBuffer.prototype.swap16 = function swap16 () {\n var len = this.length\n if (len % 2 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 16-bits')\n }\n for (var i = 0; i < len; i += 2) {\n swap(this, i, i + 1)\n }\n return this\n}\n\nBuffer.prototype.swap32 = function swap32 () {\n var len = this.length\n if (len % 4 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 32-bits')\n }\n for (var i = 0; i < len; i += 4) {\n swap(this, i, i + 3)\n swap(this, i + 1, i + 2)\n }\n return this\n}\n\nBuffer.prototype.swap64 = function swap64 () {\n var len = this.length\n if (len % 8 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 64-bits')\n }\n for (var i = 0; i < len; i += 8) {\n swap(this, i, i + 7)\n swap(this, i + 1, i + 6)\n swap(this, i + 2, i + 5)\n swap(this, i + 3, i + 4)\n }\n return this\n}\n\nBuffer.prototype.toString = function toString () {\n var length = this.length | 0\n if (length === 0) return ''\n if (arguments.length === 0) return utf8Slice(this, 0, length)\n return slowToString.apply(this, arguments)\n}\n\nBuffer.prototype.equals = function equals (b) {\n if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer')\n if (this === b) return true\n return Buffer.compare(this, b) === 0\n}\n\nBuffer.prototype.inspect = function inspect () {\n var str = ''\n var max = exports.INSPECT_MAX_BYTES\n if (this.length > 0) {\n str = this.toString('hex', 0, max).match(/.{2}/g).join(' ')\n if (this.length > max) str += ' ... '\n }\n return ''\n}\n\nBuffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) {\n if (!Buffer.isBuffer(target)) {\n throw new TypeError('Argument must be a Buffer')\n }\n\n if (start === undefined) {\n start = 0\n }\n if (end === undefined) {\n end = target ? target.length : 0\n }\n if (thisStart === undefined) {\n thisStart = 0\n }\n if (thisEnd === undefined) {\n thisEnd = this.length\n }\n\n if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {\n throw new RangeError('out of range index')\n }\n\n if (thisStart >= thisEnd && start >= end) {\n return 0\n }\n if (thisStart >= thisEnd) {\n return -1\n }\n if (start >= end) {\n return 1\n }\n\n start >>>= 0\n end >>>= 0\n thisStart >>>= 0\n thisEnd >>>= 0\n\n if (this === target) return 0\n\n var x = thisEnd - thisStart\n var y = end - start\n var len = Math.min(x, y)\n\n var thisCopy = this.slice(thisStart, thisEnd)\n var targetCopy = target.slice(start, end)\n\n for (var i = 0; i < len; ++i) {\n if (thisCopy[i] !== targetCopy[i]) {\n x = thisCopy[i]\n y = targetCopy[i]\n break\n }\n }\n\n if (x < y) return -1\n if (y < x) return 1\n return 0\n}\n\n// Finds either the first index of `val` in `buffer` at offset >= `byteOffset`,\n// OR the last index of `val` in `buffer` at offset <= `byteOffset`.\n//\n// Arguments:\n// - buffer - a Buffer to search\n// - val - a string, Buffer, or number\n// - byteOffset - an index into `buffer`; will be clamped to an int32\n// - encoding - an optional encoding, relevant is val is a string\n// - dir - true for indexOf, false for lastIndexOf\nfunction bidirectionalIndexOf (buffer, val, byteOffset, encoding, dir) {\n // Empty buffer means no match\n if (buffer.length === 0) return -1\n\n // Normalize byteOffset\n if (typeof byteOffset === 'string') {\n encoding = byteOffset\n byteOffset = 0\n } else if (byteOffset > 0x7fffffff) {\n byteOffset = 0x7fffffff\n } else if (byteOffset < -0x80000000) {\n byteOffset = -0x80000000\n }\n byteOffset = +byteOffset // Coerce to Number.\n if (isNaN(byteOffset)) {\n // byteOffset: it it's undefined, null, NaN, \"foo\", etc, search whole buffer\n byteOffset = dir ? 0 : (buffer.length - 1)\n }\n\n // Normalize byteOffset: negative offsets start from the end of the buffer\n if (byteOffset < 0) byteOffset = buffer.length + byteOffset\n if (byteOffset >= buffer.length) {\n if (dir) return -1\n else byteOffset = buffer.length - 1\n } else if (byteOffset < 0) {\n if (dir) byteOffset = 0\n else return -1\n }\n\n // Normalize val\n if (typeof val === 'string') {\n val = Buffer.from(val, encoding)\n }\n\n // Finally, search either indexOf (if dir is true) or lastIndexOf\n if (Buffer.isBuffer(val)) {\n // Special case: looking for empty string/buffer always fails\n if (val.length === 0) {\n return -1\n }\n return arrayIndexOf(buffer, val, byteOffset, encoding, dir)\n } else if (typeof val === 'number') {\n val = val & 0xFF // Search for a byte value [0-255]\n if (Buffer.TYPED_ARRAY_SUPPORT &&\n typeof Uint8Array.prototype.indexOf === 'function') {\n if (dir) {\n return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset)\n } else {\n return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset)\n }\n }\n return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir)\n }\n\n throw new TypeError('val must be string, number or Buffer')\n}\n\nfunction arrayIndexOf (arr, val, byteOffset, encoding, dir) {\n var indexSize = 1\n var arrLength = arr.length\n var valLength = val.length\n\n if (encoding !== undefined) {\n encoding = String(encoding).toLowerCase()\n if (encoding === 'ucs2' || encoding === 'ucs-2' ||\n encoding === 'utf16le' || encoding === 'utf-16le') {\n if (arr.length < 2 || val.length < 2) {\n return -1\n }\n indexSize = 2\n arrLength /= 2\n valLength /= 2\n byteOffset /= 2\n }\n }\n\n function read (buf, i) {\n if (indexSize === 1) {\n return buf[i]\n } else {\n return buf.readUInt16BE(i * indexSize)\n }\n }\n\n var i\n if (dir) {\n var foundIndex = -1\n for (i = byteOffset; i < arrLength; i++) {\n if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) {\n if (foundIndex === -1) foundIndex = i\n if (i - foundIndex + 1 === valLength) return foundIndex * indexSize\n } else {\n if (foundIndex !== -1) i -= i - foundIndex\n foundIndex = -1\n }\n }\n } else {\n if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength\n for (i = byteOffset; i >= 0; i--) {\n var found = true\n for (var j = 0; j < valLength; j++) {\n if (read(arr, i + j) !== read(val, j)) {\n found = false\n break\n }\n }\n if (found) return i\n }\n }\n\n return -1\n}\n\nBuffer.prototype.includes = function includes (val, byteOffset, encoding) {\n return this.indexOf(val, byteOffset, encoding) !== -1\n}\n\nBuffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, true)\n}\n\nBuffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, false)\n}\n\nfunction hexWrite (buf, string, offset, length) {\n offset = Number(offset) || 0\n var remaining = buf.length - offset\n if (!length) {\n length = remaining\n } else {\n length = Number(length)\n if (length > remaining) {\n length = remaining\n }\n }\n\n // must be an even number of digits\n var strLen = string.length\n if (strLen % 2 !== 0) throw new TypeError('Invalid hex string')\n\n if (length > strLen / 2) {\n length = strLen / 2\n }\n for (var i = 0; i < length; ++i) {\n var parsed = parseInt(string.substr(i * 2, 2), 16)\n if (isNaN(parsed)) return i\n buf[offset + i] = parsed\n }\n return i\n}\n\nfunction utf8Write (buf, string, offset, length) {\n return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length)\n}\n\nfunction asciiWrite (buf, string, offset, length) {\n return blitBuffer(asciiToBytes(string), buf, offset, length)\n}\n\nfunction latin1Write (buf, string, offset, length) {\n return asciiWrite(buf, string, offset, length)\n}\n\nfunction base64Write (buf, string, offset, length) {\n return blitBuffer(base64ToBytes(string), buf, offset, length)\n}\n\nfunction ucs2Write (buf, string, offset, length) {\n return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length)\n}\n\nBuffer.prototype.write = function write (string, offset, length, encoding) {\n // Buffer#write(string)\n if (offset === undefined) {\n encoding = 'utf8'\n length = this.length\n offset = 0\n // Buffer#write(string, encoding)\n } else if (length === undefined && typeof offset === 'string') {\n encoding = offset\n length = this.length\n offset = 0\n // Buffer#write(string, offset[, length][, encoding])\n } else if (isFinite(offset)) {\n offset = offset | 0\n if (isFinite(length)) {\n length = length | 0\n if (encoding === undefined) encoding = 'utf8'\n } else {\n encoding = length\n length = undefined\n }\n // legacy write(string, encoding, offset, length) - remove in v0.13\n } else {\n throw new Error(\n 'Buffer.write(string, encoding, offset[, length]) is no longer supported'\n )\n }\n\n var remaining = this.length - offset\n if (length === undefined || length > remaining) length = remaining\n\n if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) {\n throw new RangeError('Attempt to write outside buffer bounds')\n }\n\n if (!encoding) encoding = 'utf8'\n\n var loweredCase = false\n for (;;) {\n switch (encoding) {\n case 'hex':\n return hexWrite(this, string, offset, length)\n\n case 'utf8':\n case 'utf-8':\n return utf8Write(this, string, offset, length)\n\n case 'ascii':\n return asciiWrite(this, string, offset, length)\n\n case 'latin1':\n case 'binary':\n return latin1Write(this, string, offset, length)\n\n case 'base64':\n // Warning: maxLength not taken into account in base64Write\n return base64Write(this, string, offset, length)\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return ucs2Write(this, string, offset, length)\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)\n encoding = ('' + encoding).toLowerCase()\n loweredCase = true\n }\n }\n}\n\nBuffer.prototype.toJSON = function toJSON () {\n return {\n type: 'Buffer',\n data: Array.prototype.slice.call(this._arr || this, 0)\n }\n}\n\nfunction base64Slice (buf, start, end) {\n if (start === 0 && end === buf.length) {\n return base64.fromByteArray(buf)\n } else {\n return base64.fromByteArray(buf.slice(start, end))\n }\n}\n\nfunction utf8Slice (buf, start, end) {\n end = Math.min(buf.length, end)\n var res = []\n\n var i = start\n while (i < end) {\n var firstByte = buf[i]\n var codePoint = null\n var bytesPerSequence = (firstByte > 0xEF) ? 4\n : (firstByte > 0xDF) ? 3\n : (firstByte > 0xBF) ? 2\n : 1\n\n if (i + bytesPerSequence <= end) {\n var secondByte, thirdByte, fourthByte, tempCodePoint\n\n switch (bytesPerSequence) {\n case 1:\n if (firstByte < 0x80) {\n codePoint = firstByte\n }\n break\n case 2:\n secondByte = buf[i + 1]\n if ((secondByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0x1F) << 0x6 | (secondByte & 0x3F)\n if (tempCodePoint > 0x7F) {\n codePoint = tempCodePoint\n }\n }\n break\n case 3:\n secondByte = buf[i + 1]\n thirdByte = buf[i + 2]\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | (thirdByte & 0x3F)\n if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) {\n codePoint = tempCodePoint\n }\n }\n break\n case 4:\n secondByte = buf[i + 1]\n thirdByte = buf[i + 2]\n fourthByte = buf[i + 3]\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | (fourthByte & 0x3F)\n if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) {\n codePoint = tempCodePoint\n }\n }\n }\n }\n\n if (codePoint === null) {\n // we did not generate a valid codePoint so insert a\n // replacement char (U+FFFD) and advance only 1 byte\n codePoint = 0xFFFD\n bytesPerSequence = 1\n } else if (codePoint > 0xFFFF) {\n // encode to utf16 (surrogate pair dance)\n codePoint -= 0x10000\n res.push(codePoint >>> 10 & 0x3FF | 0xD800)\n codePoint = 0xDC00 | codePoint & 0x3FF\n }\n\n res.push(codePoint)\n i += bytesPerSequence\n }\n\n return decodeCodePointsArray(res)\n}\n\n// Based on http://stackoverflow.com/a/22747272/680742, the browser with\n// the lowest limit is Chrome, with 0x10000 args.\n// We go 1 magnitude less, for safety\nvar MAX_ARGUMENTS_LENGTH = 0x1000\n\nfunction decodeCodePointsArray (codePoints) {\n var len = codePoints.length\n if (len <= MAX_ARGUMENTS_LENGTH) {\n return String.fromCharCode.apply(String, codePoints) // avoid extra slice()\n }\n\n // Decode in chunks to avoid \"call stack size exceeded\".\n var res = ''\n var i = 0\n while (i < len) {\n res += String.fromCharCode.apply(\n String,\n codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH)\n )\n }\n return res\n}\n\nfunction asciiSlice (buf, start, end) {\n var ret = ''\n end = Math.min(buf.length, end)\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i] & 0x7F)\n }\n return ret\n}\n\nfunction latin1Slice (buf, start, end) {\n var ret = ''\n end = Math.min(buf.length, end)\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i])\n }\n return ret\n}\n\nfunction hexSlice (buf, start, end) {\n var len = buf.length\n\n if (!start || start < 0) start = 0\n if (!end || end < 0 || end > len) end = len\n\n var out = ''\n for (var i = start; i < end; ++i) {\n out += toHex(buf[i])\n }\n return out\n}\n\nfunction utf16leSlice (buf, start, end) {\n var bytes = buf.slice(start, end)\n var res = ''\n for (var i = 0; i < bytes.length; i += 2) {\n res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256)\n }\n return res\n}\n\nBuffer.prototype.slice = function slice (start, end) {\n var len = this.length\n start = ~~start\n end = end === undefined ? len : ~~end\n\n if (start < 0) {\n start += len\n if (start < 0) start = 0\n } else if (start > len) {\n start = len\n }\n\n if (end < 0) {\n end += len\n if (end < 0) end = 0\n } else if (end > len) {\n end = len\n }\n\n if (end < start) end = start\n\n var newBuf\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n newBuf = this.subarray(start, end)\n newBuf.__proto__ = Buffer.prototype\n } else {\n var sliceLen = end - start\n newBuf = new Buffer(sliceLen, undefined)\n for (var i = 0; i < sliceLen; ++i) {\n newBuf[i] = this[i + start]\n }\n }\n\n return newBuf\n}\n\n/*\n * Need to make sure that buffer isn't trying to write out of bounds.\n */\nfunction checkOffset (offset, ext, length) {\n if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint')\n if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length')\n}\n\nBuffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var val = this[offset]\n var mul = 1\n var i = 0\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul\n }\n\n return val\n}\n\nBuffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n checkOffset(offset, byteLength, this.length)\n }\n\n var val = this[offset + --byteLength]\n var mul = 1\n while (byteLength > 0 && (mul *= 0x100)) {\n val += this[offset + --byteLength] * mul\n }\n\n return val\n}\n\nBuffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length)\n return this[offset]\n}\n\nBuffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n return this[offset] | (this[offset + 1] << 8)\n}\n\nBuffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n return (this[offset] << 8) | this[offset + 1]\n}\n\nBuffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return ((this[offset]) |\n (this[offset + 1] << 8) |\n (this[offset + 2] << 16)) +\n (this[offset + 3] * 0x1000000)\n}\n\nBuffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset] * 0x1000000) +\n ((this[offset + 1] << 16) |\n (this[offset + 2] << 8) |\n this[offset + 3])\n}\n\nBuffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var val = this[offset]\n var mul = 1\n var i = 0\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul\n }\n mul *= 0x80\n\n if (val >= mul) val -= Math.pow(2, 8 * byteLength)\n\n return val\n}\n\nBuffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var i = byteLength\n var mul = 1\n var val = this[offset + --i]\n while (i > 0 && (mul *= 0x100)) {\n val += this[offset + --i] * mul\n }\n mul *= 0x80\n\n if (val >= mul) val -= Math.pow(2, 8 * byteLength)\n\n return val\n}\n\nBuffer.prototype.readInt8 = function readInt8 (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length)\n if (!(this[offset] & 0x80)) return (this[offset])\n return ((0xff - this[offset] + 1) * -1)\n}\n\nBuffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n var val = this[offset] | (this[offset + 1] << 8)\n return (val & 0x8000) ? val | 0xFFFF0000 : val\n}\n\nBuffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n var val = this[offset + 1] | (this[offset] << 8)\n return (val & 0x8000) ? val | 0xFFFF0000 : val\n}\n\nBuffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset]) |\n (this[offset + 1] << 8) |\n (this[offset + 2] << 16) |\n (this[offset + 3] << 24)\n}\n\nBuffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset] << 24) |\n (this[offset + 1] << 16) |\n (this[offset + 2] << 8) |\n (this[offset + 3])\n}\n\nBuffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n return ieee754.read(this, offset, true, 23, 4)\n}\n\nBuffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n return ieee754.read(this, offset, false, 23, 4)\n}\n\nBuffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length)\n return ieee754.read(this, offset, true, 52, 8)\n}\n\nBuffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length)\n return ieee754.read(this, offset, false, 52, 8)\n}\n\nfunction checkInt (buf, value, offset, ext, max, min) {\n if (!Buffer.isBuffer(buf)) throw new TypeError('\"buffer\" argument must be a Buffer instance')\n if (value > max || value < min) throw new RangeError('\"value\" argument is out of bounds')\n if (offset + ext > buf.length) throw new RangeError('Index out of range')\n}\n\nBuffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1\n checkInt(this, value, offset, byteLength, maxBytes, 0)\n }\n\n var mul = 1\n var i = 0\n this[offset] = value & 0xFF\n while (++i < byteLength && (mul *= 0x100)) {\n this[offset + i] = (value / mul) & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1\n checkInt(this, value, offset, byteLength, maxBytes, 0)\n }\n\n var i = byteLength - 1\n var mul = 1\n this[offset + i] = value & 0xFF\n while (--i >= 0 && (mul *= 0x100)) {\n this[offset + i] = (value / mul) & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0)\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)\n this[offset] = (value & 0xff)\n return offset + 1\n}\n\nfunction objectWriteUInt16 (buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffff + value + 1\n for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) {\n buf[offset + i] = (value & (0xff << (8 * (littleEndian ? i : 1 - i)))) >>>\n (littleEndian ? i : 1 - i) * 8\n }\n}\n\nBuffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n } else {\n objectWriteUInt16(this, value, offset, true)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 8)\n this[offset + 1] = (value & 0xff)\n } else {\n objectWriteUInt16(this, value, offset, false)\n }\n return offset + 2\n}\n\nfunction objectWriteUInt32 (buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffffffff + value + 1\n for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) {\n buf[offset + i] = (value >>> (littleEndian ? i : 3 - i) * 8) & 0xff\n }\n}\n\nBuffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset + 3] = (value >>> 24)\n this[offset + 2] = (value >>> 16)\n this[offset + 1] = (value >>> 8)\n this[offset] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, true)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 24)\n this[offset + 1] = (value >>> 16)\n this[offset + 2] = (value >>> 8)\n this[offset + 3] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, false)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1)\n\n checkInt(this, value, offset, byteLength, limit - 1, -limit)\n }\n\n var i = 0\n var mul = 1\n var sub = 0\n this[offset] = value & 0xFF\n while (++i < byteLength && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) {\n sub = 1\n }\n this[offset + i] = ((value / mul) >> 0) - sub & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1)\n\n checkInt(this, value, offset, byteLength, limit - 1, -limit)\n }\n\n var i = byteLength - 1\n var mul = 1\n var sub = 0\n this[offset + i] = value & 0xFF\n while (--i >= 0 && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) {\n sub = 1\n }\n this[offset + i] = ((value / mul) >> 0) - sub & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80)\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)\n if (value < 0) value = 0xff + value + 1\n this[offset] = (value & 0xff)\n return offset + 1\n}\n\nBuffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n } else {\n objectWriteUInt16(this, value, offset, true)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 8)\n this[offset + 1] = (value & 0xff)\n } else {\n objectWriteUInt16(this, value, offset, false)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n this[offset + 2] = (value >>> 16)\n this[offset + 3] = (value >>> 24)\n } else {\n objectWriteUInt32(this, value, offset, true)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)\n if (value < 0) value = 0xffffffff + value + 1\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 24)\n this[offset + 1] = (value >>> 16)\n this[offset + 2] = (value >>> 8)\n this[offset + 3] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, false)\n }\n return offset + 4\n}\n\nfunction checkIEEE754 (buf, value, offset, ext, max, min) {\n if (offset + ext > buf.length) throw new RangeError('Index out of range')\n if (offset < 0) throw new RangeError('Index out of range')\n}\n\nfunction writeFloat (buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38)\n }\n ieee754.write(buf, value, offset, littleEndian, 23, 4)\n return offset + 4\n}\n\nBuffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) {\n return writeFloat(this, value, offset, true, noAssert)\n}\n\nBuffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) {\n return writeFloat(this, value, offset, false, noAssert)\n}\n\nfunction writeDouble (buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308)\n }\n ieee754.write(buf, value, offset, littleEndian, 52, 8)\n return offset + 8\n}\n\nBuffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) {\n return writeDouble(this, value, offset, true, noAssert)\n}\n\nBuffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) {\n return writeDouble(this, value, offset, false, noAssert)\n}\n\n// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)\nBuffer.prototype.copy = function copy (target, targetStart, start, end) {\n if (!start) start = 0\n if (!end && end !== 0) end = this.length\n if (targetStart >= target.length) targetStart = target.length\n if (!targetStart) targetStart = 0\n if (end > 0 && end < start) end = start\n\n // Copy 0 bytes; we're done\n if (end === start) return 0\n if (target.length === 0 || this.length === 0) return 0\n\n // Fatal error conditions\n if (targetStart < 0) {\n throw new RangeError('targetStart out of bounds')\n }\n if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds')\n if (end < 0) throw new RangeError('sourceEnd out of bounds')\n\n // Are we oob?\n if (end > this.length) end = this.length\n if (target.length - targetStart < end - start) {\n end = target.length - targetStart + start\n }\n\n var len = end - start\n var i\n\n if (this === target && start < targetStart && targetStart < end) {\n // descending copy from end\n for (i = len - 1; i >= 0; --i) {\n target[i + targetStart] = this[i + start]\n }\n } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) {\n // ascending copy from start\n for (i = 0; i < len; ++i) {\n target[i + targetStart] = this[i + start]\n }\n } else {\n Uint8Array.prototype.set.call(\n target,\n this.subarray(start, start + len),\n targetStart\n )\n }\n\n return len\n}\n\n// Usage:\n// buffer.fill(number[, offset[, end]])\n// buffer.fill(buffer[, offset[, end]])\n// buffer.fill(string[, offset[, end]][, encoding])\nBuffer.prototype.fill = function fill (val, start, end, encoding) {\n // Handle string cases:\n if (typeof val === 'string') {\n if (typeof start === 'string') {\n encoding = start\n start = 0\n end = this.length\n } else if (typeof end === 'string') {\n encoding = end\n end = this.length\n }\n if (val.length === 1) {\n var code = val.charCodeAt(0)\n if (code < 256) {\n val = code\n }\n }\n if (encoding !== undefined && typeof encoding !== 'string') {\n throw new TypeError('encoding must be a string')\n }\n if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) {\n throw new TypeError('Unknown encoding: ' + encoding)\n }\n } else if (typeof val === 'number') {\n val = val & 255\n }\n\n // Invalid ranges are not set to a default, so can range check early.\n if (start < 0 || this.length < start || this.length < end) {\n throw new RangeError('Out of range index')\n }\n\n if (end <= start) {\n return this\n }\n\n start = start >>> 0\n end = end === undefined ? this.length : end >>> 0\n\n if (!val) val = 0\n\n var i\n if (typeof val === 'number') {\n for (i = start; i < end; ++i) {\n this[i] = val\n }\n } else {\n var bytes = Buffer.isBuffer(val)\n ? val\n : utf8ToBytes(new Buffer(val, encoding).toString())\n var len = bytes.length\n for (i = 0; i < end - start; ++i) {\n this[i + start] = bytes[i % len]\n }\n }\n\n return this\n}\n\n// HELPER FUNCTIONS\n// ================\n\nvar INVALID_BASE64_RE = /[^+\\/0-9A-Za-z-_]/g\n\nfunction base64clean (str) {\n // Node strips out invalid characters like \\n and \\t from the string, base64-js does not\n str = stringtrim(str).replace(INVALID_BASE64_RE, '')\n // Node converts strings with length < 2 to ''\n if (str.length < 2) return ''\n // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not\n while (str.length % 4 !== 0) {\n str = str + '='\n }\n return str\n}\n\nfunction stringtrim (str) {\n if (str.trim) return str.trim()\n return str.replace(/^\\s+|\\s+$/g, '')\n}\n\nfunction toHex (n) {\n if (n < 16) return '0' + n.toString(16)\n return n.toString(16)\n}\n\nfunction utf8ToBytes (string, units) {\n units = units || Infinity\n var codePoint\n var length = string.length\n var leadSurrogate = null\n var bytes = []\n\n for (var i = 0; i < length; ++i) {\n codePoint = string.charCodeAt(i)\n\n // is surrogate component\n if (codePoint > 0xD7FF && codePoint < 0xE000) {\n // last char was a lead\n if (!leadSurrogate) {\n // no lead yet\n if (codePoint > 0xDBFF) {\n // unexpected trail\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n continue\n } else if (i + 1 === length) {\n // unpaired lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n continue\n }\n\n // valid lead\n leadSurrogate = codePoint\n\n continue\n }\n\n // 2 leads in a row\n if (codePoint < 0xDC00) {\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n leadSurrogate = codePoint\n continue\n }\n\n // valid surrogate pair\n codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000\n } else if (leadSurrogate) {\n // valid bmp char, but last char was a lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n }\n\n leadSurrogate = null\n\n // encode utf8\n if (codePoint < 0x80) {\n if ((units -= 1) < 0) break\n bytes.push(codePoint)\n } else if (codePoint < 0x800) {\n if ((units -= 2) < 0) break\n bytes.push(\n codePoint >> 0x6 | 0xC0,\n codePoint & 0x3F | 0x80\n )\n } else if (codePoint < 0x10000) {\n if ((units -= 3) < 0) break\n bytes.push(\n codePoint >> 0xC | 0xE0,\n codePoint >> 0x6 & 0x3F | 0x80,\n codePoint & 0x3F | 0x80\n )\n } else if (codePoint < 0x110000) {\n if ((units -= 4) < 0) break\n bytes.push(\n codePoint >> 0x12 | 0xF0,\n codePoint >> 0xC & 0x3F | 0x80,\n codePoint >> 0x6 & 0x3F | 0x80,\n codePoint & 0x3F | 0x80\n )\n } else {\n throw new Error('Invalid code point')\n }\n }\n\n return bytes\n}\n\nfunction asciiToBytes (str) {\n var byteArray = []\n for (var i = 0; i < str.length; ++i) {\n // Node's code seems to be doing this and not & 0x7F..\n byteArray.push(str.charCodeAt(i) & 0xFF)\n }\n return byteArray\n}\n\nfunction utf16leToBytes (str, units) {\n var c, hi, lo\n var byteArray = []\n for (var i = 0; i < str.length; ++i) {\n if ((units -= 2) < 0) break\n\n c = str.charCodeAt(i)\n hi = c >> 8\n lo = c % 256\n byteArray.push(lo)\n byteArray.push(hi)\n }\n\n return byteArray\n}\n\nfunction base64ToBytes (str) {\n return base64.toByteArray(base64clean(str))\n}\n\nfunction blitBuffer (src, dst, offset, length) {\n for (var i = 0; i < length; ++i) {\n if ((i + offset >= dst.length) || (i >= src.length)) break\n dst[i + offset] = src[i]\n }\n return i\n}\n\nfunction isnan (val) {\n return val !== val // eslint-disable-line no-self-compare\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/buffer/index.js\n// module id = 1\n// module chunks = 0","var BN = require('bn.js');\nvar stripHexPrefix = require('strip-hex-prefix');\n\nconsole.log(new BN('87234987239872349872489724897248972348972389472498728723897234', 16).toString(10));\n\n/**\n * Returns a BN object, converts a number value to a BN\n * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object\n * @return {Object} `output` BN object of the number\n * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number\n */\nmodule.exports = function numberToBN(arg) {\n if (typeof arg === 'string' || typeof arg === 'number') {\n var multiplier = new BN(1); // eslint-disable-line\n var formattedString = String(arg).toLowerCase().trim();\n var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x';\n var stringArg = stripHexPrefix(formattedString); // eslint-disable-line\n if (stringArg.substr(0, 1) === '-') {\n stringArg = stripHexPrefix(stringArg.slice(1));\n multiplier = new BN(-1, 10);\n }\n stringArg = stringArg === '' ? '0' : stringArg;\n\n if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/))\n || stringArg.match(/^[a-fA-F]+$/)\n || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) {\n return new BN(stringArg, 16).mul(multiplier);\n }\n\n if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) {\n return new BN(stringArg, 10).mul(multiplier);\n }\n } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) {\n if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) {\n return new BN(arg.toString(10), 10);\n }\n }\n\n throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.');\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/number-to-bn/src/index.js\n// module id = 2\n// module chunks = 0","'use strict';\n\nvar BN = require('bn.js');\nvar numberToBN = require('number-to-bn');\n\nvar zero = new BN(0);\nvar negative1 = new BN(-1);\n\n// complete ethereum unit map\nvar unitMap = {\n 'noether': '0', // eslint-disable-line\n 'wei': '1', // eslint-disable-line\n 'kwei': '1000', // eslint-disable-line\n 'Kwei': '1000', // eslint-disable-line\n 'babbage': '1000', // eslint-disable-line\n 'femtoether': '1000', // eslint-disable-line\n 'mwei': '1000000', // eslint-disable-line\n 'Mwei': '1000000', // eslint-disable-line\n 'lovelace': '1000000', // eslint-disable-line\n 'picoether': '1000000', // eslint-disable-line\n 'gwei': '1000000000', // eslint-disable-line\n 'Gwei': '1000000000', // eslint-disable-line\n 'shannon': '1000000000', // eslint-disable-line\n 'nanoether': '1000000000', // eslint-disable-line\n 'nano': '1000000000', // eslint-disable-line\n 'szabo': '1000000000000', // eslint-disable-line\n 'microether': '1000000000000', // eslint-disable-line\n 'micro': '1000000000000', // eslint-disable-line\n 'finney': '1000000000000000', // eslint-disable-line\n 'milliether': '1000000000000000', // eslint-disable-line\n 'milli': '1000000000000000', // eslint-disable-line\n 'ether': '1000000000000000000', // eslint-disable-line\n 'kether': '1000000000000000000000', // eslint-disable-line\n 'grand': '1000000000000000000000', // eslint-disable-line\n 'mether': '1000000000000000000000000', // eslint-disable-line\n 'gether': '1000000000000000000000000000', // eslint-disable-line\n 'tether': '1000000000000000000000000000000' };\n\n/**\n * Returns value of unit in Wei\n *\n * @method getValueOfUnit\n * @param {String} unit the unit to convert to, default ether\n * @returns {BigNumber} value of the unit (in Wei)\n * @throws error if the unit is not correct:w\n */\nfunction getValueOfUnit(unitInput) {\n var unit = unitInput ? unitInput.toLowerCase() : 'ether';\n var unitValue = unitMap[unit]; // eslint-disable-line\n\n if (typeof unitValue !== 'string') {\n throw new Error('[ethjs-unit] the unit provided ' + unitInput + ' doesn\\'t exists, please use the one of the following units ' + JSON.stringify(unitMap, null, 2));\n }\n\n return new BN(unitValue, 10);\n}\n\nfunction numberToString(arg) {\n if (typeof arg === 'string') {\n if (!arg.match(/^-?[0-9.]+$/)) {\n throw new Error('while converting number to string, invalid number value \\'' + arg + '\\', should be a number matching (^-?[0-9.]+).');\n }\n return arg;\n } else if (typeof arg === 'number') {\n return String(arg);\n } else if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) {\n if (arg.toPrecision) {\n return String(arg.toPrecision());\n } else {\n // eslint-disable-line\n return arg.toString(10);\n }\n }\n throw new Error('while converting number to string, invalid number value \\'' + arg + '\\' type ' + typeof arg + '.');\n}\n\nfunction fromWei(weiInput, unit, optionsInput) {\n var wei = numberToBN(weiInput); // eslint-disable-line\n var negative = wei.lt(zero); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n var options = optionsInput || {};\n\n if (negative) {\n wei = wei.mul(negative1);\n }\n\n var fraction = wei.mod(base).toString(10); // eslint-disable-line\n\n while (fraction.length < baseLength) {\n fraction = '0' + fraction;\n }\n\n if (!options.pad) {\n fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1];\n }\n\n var whole = wei.div(base).toString(10); // eslint-disable-line\n\n if (options.commify) {\n whole = whole.replace(/\\B(?=(\\d{3})+(?!\\d))/g, ',');\n }\n\n var value = '' + whole + (fraction == '0' ? '' : '.' + fraction); // eslint-disable-line\n\n if (negative) {\n value = '-' + value;\n }\n\n return value;\n}\n\nfunction toWei(etherInput, unit) {\n var ether = numberToString(etherInput); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n\n // Is it negative?\n var negative = ether.substring(0, 1) === '-'; // eslint-disable-line\n if (negative) {\n ether = ether.substring(1);\n }\n\n if (ether === '.') {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, invalid value');\n }\n\n // Split it into a whole and fractional part\n var comps = ether.split('.'); // eslint-disable-line\n if (comps.length > 2) {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal points');\n }\n\n var whole = comps[0],\n fraction = comps[1]; // eslint-disable-line\n\n if (!whole) {\n whole = '0';\n }\n if (!fraction) {\n fraction = '0';\n }\n if (fraction.length > baseLength) {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal places');\n }\n\n while (fraction.length < baseLength) {\n fraction += '0';\n }\n\n whole = new BN(whole);\n fraction = new BN(fraction);\n var wei = whole.mul(base).add(fraction); // eslint-disable-line\n\n if (negative) {\n wei = wei.mul(negative1);\n }\n\n return new BN(wei.toString(10), 10);\n}\n\nmodule.exports = {\n unitMap: unitMap,\n numberToString: numberToString,\n getValueOfUnit: getValueOfUnit,\n fromWei: fromWei,\n toWei: toWei\n};\n\n\n// WEBPACK FOOTER //\n// lib/index.js","'use strict'\n\nexports.byteLength = byteLength\nexports.toByteArray = toByteArray\nexports.fromByteArray = fromByteArray\n\nvar lookup = []\nvar revLookup = []\nvar Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array\n\nvar code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'\nfor (var i = 0, len = code.length; i < len; ++i) {\n lookup[i] = code[i]\n revLookup[code.charCodeAt(i)] = i\n}\n\nrevLookup['-'.charCodeAt(0)] = 62\nrevLookup['_'.charCodeAt(0)] = 63\n\nfunction placeHoldersCount (b64) {\n var len = b64.length\n if (len % 4 > 0) {\n throw new Error('Invalid string. Length must be a multiple of 4')\n }\n\n // the number of equal signs (place holders)\n // if there are two placeholders, than the two characters before it\n // represent one byte\n // if there is only one, then the three characters before it represent 2 bytes\n // this is just a cheap hack to not do indexOf twice\n return b64[len - 2] === '=' ? 2 : b64[len - 1] === '=' ? 1 : 0\n}\n\nfunction byteLength (b64) {\n // base64 is 4/3 + up to two characters of the original data\n return b64.length * 3 / 4 - placeHoldersCount(b64)\n}\n\nfunction toByteArray (b64) {\n var i, j, l, tmp, placeHolders, arr\n var len = b64.length\n placeHolders = placeHoldersCount(b64)\n\n arr = new Arr(len * 3 / 4 - placeHolders)\n\n // if there are placeholders, only get up to the last complete 4 chars\n l = placeHolders > 0 ? len - 4 : len\n\n var L = 0\n\n for (i = 0, j = 0; i < l; i += 4, j += 3) {\n tmp = (revLookup[b64.charCodeAt(i)] << 18) | (revLookup[b64.charCodeAt(i + 1)] << 12) | (revLookup[b64.charCodeAt(i + 2)] << 6) | revLookup[b64.charCodeAt(i + 3)]\n arr[L++] = (tmp >> 16) & 0xFF\n arr[L++] = (tmp >> 8) & 0xFF\n arr[L++] = tmp & 0xFF\n }\n\n if (placeHolders === 2) {\n tmp = (revLookup[b64.charCodeAt(i)] << 2) | (revLookup[b64.charCodeAt(i + 1)] >> 4)\n arr[L++] = tmp & 0xFF\n } else if (placeHolders === 1) {\n tmp = (revLookup[b64.charCodeAt(i)] << 10) | (revLookup[b64.charCodeAt(i + 1)] << 4) | (revLookup[b64.charCodeAt(i + 2)] >> 2)\n arr[L++] = (tmp >> 8) & 0xFF\n arr[L++] = tmp & 0xFF\n }\n\n return arr\n}\n\nfunction tripletToBase64 (num) {\n return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F]\n}\n\nfunction encodeChunk (uint8, start, end) {\n var tmp\n var output = []\n for (var i = start; i < end; i += 3) {\n tmp = (uint8[i] << 16) + (uint8[i + 1] << 8) + (uint8[i + 2])\n output.push(tripletToBase64(tmp))\n }\n return output.join('')\n}\n\nfunction fromByteArray (uint8) {\n var tmp\n var len = uint8.length\n var extraBytes = len % 3 // if we have 1 byte left, pad 2 bytes\n var output = ''\n var parts = []\n var maxChunkLength = 16383 // must be multiple of 3\n\n // go through the array every three bytes, we'll deal with trailing stuff later\n for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) {\n parts.push(encodeChunk(uint8, i, (i + maxChunkLength) > len2 ? len2 : (i + maxChunkLength)))\n }\n\n // pad the end with zeros, but make sure to not forget the extra bytes\n if (extraBytes === 1) {\n tmp = uint8[len - 1]\n output += lookup[tmp >> 2]\n output += lookup[(tmp << 4) & 0x3F]\n output += '=='\n } else if (extraBytes === 2) {\n tmp = (uint8[len - 2] << 8) + (uint8[len - 1])\n output += lookup[tmp >> 10]\n output += lookup[(tmp >> 4) & 0x3F]\n output += lookup[(tmp << 2) & 0x3F]\n output += '='\n }\n\n parts.push(output)\n\n return parts.join('')\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/base64-js/index.js\n// module id = 4\n// module chunks = 0","exports.read = function (buffer, offset, isLE, mLen, nBytes) {\n var e, m\n var eLen = nBytes * 8 - mLen - 1\n var eMax = (1 << eLen) - 1\n var eBias = eMax >> 1\n var nBits = -7\n var i = isLE ? (nBytes - 1) : 0\n var d = isLE ? -1 : 1\n var s = buffer[offset + i]\n\n i += d\n\n e = s & ((1 << (-nBits)) - 1)\n s >>= (-nBits)\n nBits += eLen\n for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {}\n\n m = e & ((1 << (-nBits)) - 1)\n e >>= (-nBits)\n nBits += mLen\n for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {}\n\n if (e === 0) {\n e = 1 - eBias\n } else if (e === eMax) {\n return m ? NaN : ((s ? -1 : 1) * Infinity)\n } else {\n m = m + Math.pow(2, mLen)\n e = e - eBias\n }\n return (s ? -1 : 1) * m * Math.pow(2, e - mLen)\n}\n\nexports.write = function (buffer, value, offset, isLE, mLen, nBytes) {\n var e, m, c\n var eLen = nBytes * 8 - mLen - 1\n var eMax = (1 << eLen) - 1\n var eBias = eMax >> 1\n var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0)\n var i = isLE ? 0 : (nBytes - 1)\n var d = isLE ? 1 : -1\n var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0\n\n value = Math.abs(value)\n\n if (isNaN(value) || value === Infinity) {\n m = isNaN(value) ? 1 : 0\n e = eMax\n } else {\n e = Math.floor(Math.log(value) / Math.LN2)\n if (value * (c = Math.pow(2, -e)) < 1) {\n e--\n c *= 2\n }\n if (e + eBias >= 1) {\n value += rt / c\n } else {\n value += rt * Math.pow(2, 1 - eBias)\n }\n if (value * c >= 2) {\n e++\n c /= 2\n }\n\n if (e + eBias >= eMax) {\n m = 0\n e = eMax\n } else if (e + eBias >= 1) {\n m = (value * c - 1) * Math.pow(2, mLen)\n e = e + eBias\n } else {\n m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen)\n e = 0\n }\n }\n\n for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}\n\n e = (e << mLen) | m\n eLen += mLen\n for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}\n\n buffer[offset + i - d] |= s * 128\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/ieee754/index.js\n// module id = 5\n// module chunks = 0","/**\n * Returns a `Boolean` on whether or not the a `String` starts with '0x'\n * @param {String} str the string input value\n * @return {Boolean} a boolean if it is or is not hex prefixed\n * @throws if the str input is not a string\n */\nmodule.exports = function isHexPrefixed(str) {\n if (typeof str !== 'string') {\n throw new Error(\"[is-hex-prefixed] value must be type 'string', is currently type \" + (typeof str) + \", while checking isHexPrefixed.\");\n }\n\n return str.slice(0, 2) === '0x';\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/is-hex-prefixed/src/index.js\n// module id = 6\n// module chunks = 0","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n return toString.call(arr) == '[object Array]';\n};\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/isarray/index.js\n// module id = 7\n// module chunks = 0","var isHexPrefixed = require('is-hex-prefixed');\n\n/**\n * Removes '0x' from a given `String` is present\n * @param {String} str the string value\n * @return {String|Optional} a string by pass if necessary\n */\nmodule.exports = function stripHexPrefix(str) {\n if (typeof str !== 'string') {\n return str;\n }\n\n return isHexPrefixed(str) ? str.slice(2) : str;\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/strip-hex-prefix/src/index.js\n// module id = 8\n// module chunks = 0","var g;\r\n\r\n// This works in non-strict mode\r\ng = (function() { return this; })();\r\n\r\ntry {\r\n\t// This works if eval is allowed (see CSP)\r\n\tg = g || Function(\"return this\")() || (1,eval)(\"this\");\r\n} catch(e) {\r\n\t// This works if the window reference is available\r\n\tif(typeof window === \"object\")\r\n\t\tg = window;\r\n}\r\n\r\n// g can still be undefined, but nothing to do about it...\r\n// We return undefined, instead of nothing here, so it's\r\n// easier to handle this case. if(!global) { ...}\r\n\r\nmodule.exports = g;\r\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// (webpack)/buildin/global.js\n// module id = 9\n// module chunks = 0","module.exports = function(module) {\r\n\tif(!module.webpackPolyfill) {\r\n\t\tmodule.deprecate = function() {};\r\n\t\tmodule.paths = [];\r\n\t\t// module.parent = undefined by default\r\n\t\tif(!module.children) module.children = [];\r\n\t\tObject.defineProperty(module, \"loaded\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tconfigurable: false,\r\n\t\t\tget: function() { return module.l; }\r\n\t\t});\r\n\t\tObject.defineProperty(module, \"id\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tconfigurable: false,\r\n\t\t\tget: function() { return module.i; }\r\n\t\t});\r\n\t\tmodule.webpackPolyfill = 1;\r\n\t}\r\n\treturn module;\r\n}\r\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// (webpack)/buildin/module.js\n// module id = 10\n// module chunks = 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eslint-disable no-proto */\n\n'use strict'\n\nvar base64 = require('base64-js')\nvar ieee754 = require('ieee754')\nvar isArray = require('isarray')\n\nexports.Buffer = Buffer\nexports.SlowBuffer = SlowBuffer\nexports.INSPECT_MAX_BYTES = 50\n\n/**\n * If `Buffer.TYPED_ARRAY_SUPPORT`:\n * === true Use Uint8Array implementation (fastest)\n * === false Use Object implementation (most compatible, even IE6)\n *\n * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,\n * Opera 11.6+, iOS 4.2+.\n *\n * Due to various browser bugs, sometimes the Object implementation will be used even\n * when the browser supports typed arrays.\n *\n * Note:\n *\n * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances,\n * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438.\n *\n * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function.\n *\n * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of\n * incorrect length in some situations.\n\n * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they\n * get the Object implementation, which is slower but behaves correctly.\n */\nBuffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined\n ? global.TYPED_ARRAY_SUPPORT\n : typedArraySupport()\n\n/*\n * Export kMaxLength after typed array support is determined.\n */\nexports.kMaxLength = kMaxLength()\n\nfunction typedArraySupport () {\n try {\n var arr = new Uint8Array(1)\n arr.__proto__ = {__proto__: Uint8Array.prototype, foo: function () { return 42 }}\n return arr.foo() === 42 && // typed array instances can be augmented\n typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray`\n arr.subarray(1, 1).byteLength === 0 // ie10 has broken `subarray`\n } catch (e) {\n return false\n }\n}\n\nfunction kMaxLength () {\n return Buffer.TYPED_ARRAY_SUPPORT\n ? 0x7fffffff\n : 0x3fffffff\n}\n\nfunction createBuffer (that, length) {\n if (kMaxLength() < length) {\n throw new RangeError('Invalid typed array length')\n }\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = new Uint8Array(length)\n that.__proto__ = Buffer.prototype\n } else {\n // Fallback: Return an object instance of the Buffer class\n if (that === null) {\n that = new Buffer(length)\n }\n that.length = length\n }\n\n return that\n}\n\n/**\n * The Buffer constructor returns instances of `Uint8Array` that have their\n * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of\n * `Uint8Array`, so the returned instances will have all the node `Buffer` methods\n * and the `Uint8Array` methods. Square bracket notation works as expected -- it\n * returns a single octet.\n *\n * The `Uint8Array` prototype remains unmodified.\n */\n\nfunction Buffer (arg, encodingOrOffset, length) {\n if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) {\n return new Buffer(arg, encodingOrOffset, length)\n }\n\n // Common case.\n if (typeof arg === 'number') {\n if (typeof encodingOrOffset === 'string') {\n throw new Error(\n 'If encoding is specified then the first argument must be a string'\n )\n }\n return allocUnsafe(this, arg)\n }\n return from(this, arg, encodingOrOffset, length)\n}\n\nBuffer.poolSize = 8192 // not used by this implementation\n\n// TODO: Legacy, not needed anymore. Remove in next major version.\nBuffer._augment = function (arr) {\n arr.__proto__ = Buffer.prototype\n return arr\n}\n\nfunction from (that, value, encodingOrOffset, length) {\n if (typeof value === 'number') {\n throw new TypeError('\"value\" argument must not be a number')\n }\n\n if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) {\n return fromArrayBuffer(that, value, encodingOrOffset, length)\n }\n\n if (typeof value === 'string') {\n return fromString(that, value, encodingOrOffset)\n }\n\n return fromObject(that, value)\n}\n\n/**\n * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError\n * if value is a number.\n * Buffer.from(str[, encoding])\n * Buffer.from(array)\n * Buffer.from(buffer)\n * Buffer.from(arrayBuffer[, byteOffset[, length]])\n **/\nBuffer.from = function (value, encodingOrOffset, length) {\n return from(null, value, encodingOrOffset, length)\n}\n\nif (Buffer.TYPED_ARRAY_SUPPORT) {\n Buffer.prototype.__proto__ = Uint8Array.prototype\n Buffer.__proto__ = Uint8Array\n if (typeof Symbol !== 'undefined' && Symbol.species &&\n Buffer[Symbol.species] === Buffer) {\n // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97\n Object.defineProperty(Buffer, Symbol.species, {\n value: null,\n configurable: true\n })\n }\n}\n\nfunction assertSize (size) {\n if (typeof size !== 'number') {\n throw new TypeError('\"size\" argument must be a number')\n } else if (size < 0) {\n throw new RangeError('\"size\" argument must not be negative')\n }\n}\n\nfunction alloc (that, size, fill, encoding) {\n assertSize(size)\n if (size <= 0) {\n return createBuffer(that, size)\n }\n if (fill !== undefined) {\n // Only pay attention to encoding if it's a string. This\n // prevents accidentally sending in a number that would\n // be interpretted as a start offset.\n return typeof encoding === 'string'\n ? createBuffer(that, size).fill(fill, encoding)\n : createBuffer(that, size).fill(fill)\n }\n return createBuffer(that, size)\n}\n\n/**\n * Creates a new filled Buffer instance.\n * alloc(size[, fill[, encoding]])\n **/\nBuffer.alloc = function (size, fill, encoding) {\n return alloc(null, size, fill, encoding)\n}\n\nfunction allocUnsafe (that, size) {\n assertSize(size)\n that = createBuffer(that, size < 0 ? 0 : checked(size) | 0)\n if (!Buffer.TYPED_ARRAY_SUPPORT) {\n for (var i = 0; i < size; ++i) {\n that[i] = 0\n }\n }\n return that\n}\n\n/**\n * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance.\n * */\nBuffer.allocUnsafe = function (size) {\n return allocUnsafe(null, size)\n}\n/**\n * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance.\n */\nBuffer.allocUnsafeSlow = function (size) {\n return allocUnsafe(null, size)\n}\n\nfunction fromString (that, string, encoding) {\n if (typeof encoding !== 'string' || encoding === '') {\n encoding = 'utf8'\n }\n\n if (!Buffer.isEncoding(encoding)) {\n throw new TypeError('\"encoding\" must be a valid string encoding')\n }\n\n var length = byteLength(string, encoding) | 0\n that = createBuffer(that, length)\n\n var actual = that.write(string, encoding)\n\n if (actual !== length) {\n // Writing a hex string, for example, that contains invalid characters will\n // cause everything after the first invalid character to be ignored. (e.g.\n // 'abxxcd' will be treated as 'ab')\n that = that.slice(0, actual)\n }\n\n return that\n}\n\nfunction fromArrayLike (that, array) {\n var length = array.length < 0 ? 0 : checked(array.length) | 0\n that = createBuffer(that, length)\n for (var i = 0; i < length; i += 1) {\n that[i] = array[i] & 255\n }\n return that\n}\n\nfunction fromArrayBuffer (that, array, byteOffset, length) {\n array.byteLength // this throws if `array` is not a valid ArrayBuffer\n\n if (byteOffset < 0 || array.byteLength < byteOffset) {\n throw new RangeError('\\'offset\\' is out of bounds')\n }\n\n if (array.byteLength < byteOffset + (length || 0)) {\n throw new RangeError('\\'length\\' is out of bounds')\n }\n\n if (byteOffset === undefined && length === undefined) {\n array = new Uint8Array(array)\n } else if (length === undefined) {\n array = new Uint8Array(array, byteOffset)\n } else {\n array = new Uint8Array(array, byteOffset, length)\n }\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = array\n that.__proto__ = Buffer.prototype\n } else {\n // Fallback: Return an object instance of the Buffer class\n that = fromArrayLike(that, array)\n }\n return that\n}\n\nfunction fromObject (that, obj) {\n if (Buffer.isBuffer(obj)) {\n var len = checked(obj.length) | 0\n that = createBuffer(that, len)\n\n if (that.length === 0) {\n return that\n }\n\n obj.copy(that, 0, 0, len)\n return that\n }\n\n if (obj) {\n if ((typeof ArrayBuffer !== 'undefined' &&\n obj.buffer instanceof ArrayBuffer) || 'length' in obj) {\n if (typeof obj.length !== 'number' || isnan(obj.length)) {\n return createBuffer(that, 0)\n }\n return fromArrayLike(that, obj)\n }\n\n if (obj.type === 'Buffer' && isArray(obj.data)) {\n return fromArrayLike(that, obj.data)\n }\n }\n\n throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.')\n}\n\nfunction checked (length) {\n // Note: cannot use `length < kMaxLength()` here because that fails when\n // length is NaN (which is otherwise coerced to zero.)\n if (length >= kMaxLength()) {\n throw new RangeError('Attempt to allocate Buffer larger than maximum ' +\n 'size: 0x' + kMaxLength().toString(16) + ' bytes')\n }\n return length | 0\n}\n\nfunction SlowBuffer (length) {\n if (+length != length) { // eslint-disable-line eqeqeq\n length = 0\n }\n return Buffer.alloc(+length)\n}\n\nBuffer.isBuffer = function isBuffer (b) {\n return !!(b != null && b._isBuffer)\n}\n\nBuffer.compare = function compare (a, b) {\n if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {\n throw new TypeError('Arguments must be Buffers')\n }\n\n if (a === b) return 0\n\n var x = a.length\n var y = b.length\n\n for (var i = 0, len = Math.min(x, y); i < len; ++i) {\n if (a[i] !== b[i]) {\n x = a[i]\n y = b[i]\n break\n }\n }\n\n if (x < y) return -1\n if (y < x) return 1\n return 0\n}\n\nBuffer.isEncoding = function isEncoding (encoding) {\n switch (String(encoding).toLowerCase()) {\n case 'hex':\n case 'utf8':\n case 'utf-8':\n case 'ascii':\n case 'latin1':\n case 'binary':\n case 'base64':\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return true\n default:\n return false\n }\n}\n\nBuffer.concat = function concat (list, length) {\n if (!isArray(list)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers')\n }\n\n if (list.length === 0) {\n return Buffer.alloc(0)\n }\n\n var i\n if (length === undefined) {\n length = 0\n for (i = 0; i < list.length; ++i) {\n length += list[i].length\n }\n }\n\n var buffer = Buffer.allocUnsafe(length)\n var pos = 0\n for (i = 0; i < list.length; ++i) {\n var buf = list[i]\n if (!Buffer.isBuffer(buf)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers')\n }\n buf.copy(buffer, pos)\n pos += buf.length\n }\n return buffer\n}\n\nfunction byteLength (string, encoding) {\n if (Buffer.isBuffer(string)) {\n return string.length\n }\n if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' &&\n (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) {\n return string.byteLength\n }\n if (typeof string !== 'string') {\n string = '' + string\n }\n\n var len = string.length\n if (len === 0) return 0\n\n // Use a for loop to avoid recursion\n var loweredCase = false\n for (;;) {\n switch (encoding) {\n case 'ascii':\n case 'latin1':\n case 'binary':\n return len\n case 'utf8':\n case 'utf-8':\n case undefined:\n return utf8ToBytes(string).length\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return len * 2\n case 'hex':\n return len >>> 1\n case 'base64':\n return base64ToBytes(string).length\n default:\n if (loweredCase) return utf8ToBytes(string).length // assume utf8\n encoding = ('' + encoding).toLowerCase()\n loweredCase = true\n }\n }\n}\nBuffer.byteLength = byteLength\n\nfunction slowToString (encoding, start, end) {\n var loweredCase = false\n\n // No need to verify that \"this.length <= MAX_UINT32\" since it's a read-only\n // property of a typed array.\n\n // This behaves neither like String nor Uint8Array in that we set start/end\n // to their upper/lower bounds if the value passed is out of range.\n // undefined is handled specially as per ECMA-262 6th Edition,\n // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization.\n if (start === undefined || start < 0) {\n start = 0\n }\n // Return early if start > this.length. Done here to prevent potential uint32\n // coercion fail below.\n if (start > this.length) {\n return ''\n }\n\n if (end === undefined || end > this.length) {\n end = this.length\n }\n\n if (end <= 0) {\n return ''\n }\n\n // Force coersion to uint32. This will also coerce falsey/NaN values to 0.\n end >>>= 0\n start >>>= 0\n\n if (end <= start) {\n return ''\n }\n\n if (!encoding) encoding = 'utf8'\n\n while (true) {\n switch (encoding) {\n case 'hex':\n return hexSlice(this, start, end)\n\n case 'utf8':\n case 'utf-8':\n return utf8Slice(this, start, end)\n\n case 'ascii':\n return asciiSlice(this, start, end)\n\n case 'latin1':\n case 'binary':\n return latin1Slice(this, start, end)\n\n case 'base64':\n return base64Slice(this, start, end)\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return utf16leSlice(this, start, end)\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)\n encoding = (encoding + '').toLowerCase()\n loweredCase = true\n }\n }\n}\n\n// The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect\n// Buffer instances.\nBuffer.prototype._isBuffer = true\n\nfunction swap (b, n, m) {\n var i = b[n]\n b[n] = b[m]\n b[m] = i\n}\n\nBuffer.prototype.swap16 = function swap16 () {\n var len = this.length\n if (len % 2 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 16-bits')\n }\n for (var i = 0; i < len; i += 2) {\n swap(this, i, i + 1)\n }\n return this\n}\n\nBuffer.prototype.swap32 = function swap32 () {\n var len = this.length\n if (len % 4 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 32-bits')\n }\n for (var i = 0; i < len; i += 4) {\n swap(this, i, i + 3)\n swap(this, i + 1, i + 2)\n }\n return this\n}\n\nBuffer.prototype.swap64 = function swap64 () {\n var len = this.length\n if (len % 8 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 64-bits')\n }\n for (var i = 0; i < len; i += 8) {\n swap(this, i, i + 7)\n swap(this, i + 1, i + 6)\n swap(this, i + 2, i + 5)\n swap(this, i + 3, i + 4)\n }\n return this\n}\n\nBuffer.prototype.toString = function toString () {\n var length = this.length | 0\n if (length === 0) return ''\n if (arguments.length === 0) return utf8Slice(this, 0, length)\n return slowToString.apply(this, arguments)\n}\n\nBuffer.prototype.equals = function equals (b) {\n if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer')\n if (this === b) return true\n return Buffer.compare(this, b) === 0\n}\n\nBuffer.prototype.inspect = function inspect () {\n var str = ''\n var max = exports.INSPECT_MAX_BYTES\n if (this.length > 0) {\n str = this.toString('hex', 0, max).match(/.{2}/g).join(' ')\n if (this.length > max) str += ' ... '\n }\n return ''\n}\n\nBuffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) {\n if (!Buffer.isBuffer(target)) {\n throw new TypeError('Argument must be a Buffer')\n }\n\n if (start === undefined) {\n start = 0\n }\n if (end === undefined) {\n end = target ? target.length : 0\n }\n if (thisStart === undefined) {\n thisStart = 0\n }\n if (thisEnd === undefined) {\n thisEnd = this.length\n }\n\n if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {\n throw new RangeError('out of range index')\n }\n\n if (thisStart >= thisEnd && start >= end) {\n return 0\n }\n if (thisStart >= thisEnd) {\n return -1\n }\n if (start >= end) {\n return 1\n }\n\n start >>>= 0\n end >>>= 0\n thisStart >>>= 0\n thisEnd >>>= 0\n\n if (this === target) return 0\n\n var x = thisEnd - thisStart\n var y = end - start\n var len = Math.min(x, y)\n\n var thisCopy = this.slice(thisStart, thisEnd)\n var targetCopy = target.slice(start, end)\n\n for (var i = 0; i < len; ++i) {\n if (thisCopy[i] !== targetCopy[i]) {\n x = thisCopy[i]\n y = targetCopy[i]\n break\n }\n }\n\n if (x < y) return -1\n if (y < x) return 1\n return 0\n}\n\n// Finds either the first index of `val` in `buffer` at offset >= `byteOffset`,\n// OR the last index of `val` in `buffer` at offset <= `byteOffset`.\n//\n// Arguments:\n// - buffer - a Buffer to search\n// - val - a string, Buffer, or number\n// - byteOffset - an index into `buffer`; will be clamped to an int32\n// - encoding - an optional encoding, relevant is val is a string\n// - dir - true for indexOf, false for lastIndexOf\nfunction bidirectionalIndexOf (buffer, val, byteOffset, encoding, dir) {\n // Empty buffer means no match\n if (buffer.length === 0) return -1\n\n // Normalize byteOffset\n if (typeof byteOffset === 'string') {\n encoding = byteOffset\n byteOffset = 0\n } else if (byteOffset > 0x7fffffff) {\n byteOffset = 0x7fffffff\n } else if (byteOffset < -0x80000000) {\n byteOffset = -0x80000000\n }\n byteOffset = +byteOffset // Coerce to Number.\n if (isNaN(byteOffset)) {\n // byteOffset: it it's undefined, null, NaN, \"foo\", etc, search whole buffer\n byteOffset = dir ? 0 : (buffer.length - 1)\n }\n\n // Normalize byteOffset: negative offsets start from the end of the buffer\n if (byteOffset < 0) byteOffset = buffer.length + byteOffset\n if (byteOffset >= buffer.length) {\n if (dir) return -1\n else byteOffset = buffer.length - 1\n } else if (byteOffset < 0) {\n if (dir) byteOffset = 0\n else return -1\n }\n\n // Normalize val\n if (typeof val === 'string') {\n val = Buffer.from(val, encoding)\n }\n\n // Finally, search either indexOf (if dir is true) or lastIndexOf\n if (Buffer.isBuffer(val)) {\n // Special case: looking for empty string/buffer always fails\n if (val.length === 0) {\n return -1\n }\n return arrayIndexOf(buffer, val, byteOffset, encoding, dir)\n } else if (typeof val === 'number') {\n val = val & 0xFF // Search for a byte value [0-255]\n if (Buffer.TYPED_ARRAY_SUPPORT &&\n typeof Uint8Array.prototype.indexOf === 'function') {\n if (dir) {\n return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset)\n } else {\n return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset)\n }\n }\n return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir)\n }\n\n throw new TypeError('val must be string, number or Buffer')\n}\n\nfunction arrayIndexOf (arr, val, byteOffset, encoding, dir) {\n var indexSize = 1\n var arrLength = arr.length\n var valLength = val.length\n\n if (encoding !== undefined) {\n encoding = String(encoding).toLowerCase()\n if (encoding === 'ucs2' || encoding === 'ucs-2' ||\n encoding === 'utf16le' || encoding === 'utf-16le') {\n if (arr.length < 2 || val.length < 2) {\n return -1\n }\n indexSize = 2\n arrLength /= 2\n valLength /= 2\n byteOffset /= 2\n }\n }\n\n function read (buf, i) {\n if (indexSize === 1) {\n return buf[i]\n } else {\n return buf.readUInt16BE(i * indexSize)\n }\n }\n\n var i\n if (dir) {\n var foundIndex = -1\n for (i = byteOffset; i < arrLength; i++) {\n if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) {\n if (foundIndex === -1) foundIndex = i\n if (i - foundIndex + 1 === valLength) return foundIndex * indexSize\n } else {\n if (foundIndex !== -1) i -= i - foundIndex\n foundIndex = -1\n }\n }\n } else {\n if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength\n for (i = byteOffset; i >= 0; i--) {\n var found = true\n for (var j = 0; j < valLength; j++) {\n if (read(arr, i + j) !== read(val, j)) {\n found = false\n break\n }\n }\n if (found) return i\n }\n }\n\n return -1\n}\n\nBuffer.prototype.includes = function includes (val, byteOffset, encoding) {\n return this.indexOf(val, byteOffset, encoding) !== -1\n}\n\nBuffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, true)\n}\n\nBuffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, false)\n}\n\nfunction hexWrite (buf, string, offset, length) {\n offset = Number(offset) || 0\n var remaining = buf.length - offset\n if (!length) {\n length = remaining\n } else {\n length = Number(length)\n if (length > remaining) {\n length = remaining\n }\n }\n\n // must be an even number of digits\n var strLen = string.length\n if (strLen % 2 !== 0) throw new TypeError('Invalid hex string')\n\n if (length > strLen / 2) {\n length = strLen / 2\n }\n for (var i = 0; i < length; ++i) {\n var parsed = parseInt(string.substr(i * 2, 2), 16)\n if (isNaN(parsed)) return i\n buf[offset + i] = parsed\n }\n return i\n}\n\nfunction utf8Write (buf, string, offset, length) {\n return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length)\n}\n\nfunction asciiWrite (buf, string, offset, length) {\n return blitBuffer(asciiToBytes(string), buf, offset, length)\n}\n\nfunction latin1Write (buf, string, offset, length) {\n return asciiWrite(buf, string, offset, length)\n}\n\nfunction base64Write (buf, string, offset, length) {\n return blitBuffer(base64ToBytes(string), buf, offset, length)\n}\n\nfunction ucs2Write (buf, string, offset, length) {\n return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length)\n}\n\nBuffer.prototype.write = function write (string, offset, length, encoding) {\n // Buffer#write(string)\n if (offset === undefined) {\n encoding = 'utf8'\n length = this.length\n offset = 0\n // Buffer#write(string, encoding)\n } else if (length === undefined && typeof offset === 'string') {\n encoding = offset\n length = this.length\n offset = 0\n // Buffer#write(string, offset[, length][, encoding])\n } else if (isFinite(offset)) {\n offset = offset | 0\n if (isFinite(length)) {\n length = length | 0\n if (encoding === undefined) encoding = 'utf8'\n } else {\n encoding = length\n length = undefined\n }\n // legacy write(string, encoding, offset, length) - remove in v0.13\n } else {\n throw new Error(\n 'Buffer.write(string, encoding, offset[, length]) is no longer supported'\n )\n }\n\n var remaining = this.length - offset\n if (length === undefined || length > remaining) length = remaining\n\n if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) {\n throw new RangeError('Attempt to write outside buffer bounds')\n }\n\n if (!encoding) encoding = 'utf8'\n\n var loweredCase = false\n for (;;) {\n switch (encoding) {\n case 'hex':\n return hexWrite(this, string, offset, length)\n\n case 'utf8':\n case 'utf-8':\n return utf8Write(this, string, offset, length)\n\n case 'ascii':\n return asciiWrite(this, string, offset, length)\n\n case 'latin1':\n case 'binary':\n return latin1Write(this, string, offset, length)\n\n case 'base64':\n // Warning: maxLength not taken into account in base64Write\n return base64Write(this, string, offset, length)\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return ucs2Write(this, string, offset, length)\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)\n encoding = ('' + encoding).toLowerCase()\n loweredCase = true\n }\n }\n}\n\nBuffer.prototype.toJSON = function toJSON () {\n return {\n type: 'Buffer',\n data: Array.prototype.slice.call(this._arr || this, 0)\n }\n}\n\nfunction base64Slice (buf, start, end) {\n if (start === 0 && end === buf.length) {\n return base64.fromByteArray(buf)\n } else {\n return base64.fromByteArray(buf.slice(start, end))\n }\n}\n\nfunction utf8Slice (buf, start, end) {\n end = Math.min(buf.length, end)\n var res = []\n\n var i = start\n while (i < end) {\n var firstByte = buf[i]\n var codePoint = null\n var bytesPerSequence = (firstByte > 0xEF) ? 4\n : (firstByte > 0xDF) ? 3\n : (firstByte > 0xBF) ? 2\n : 1\n\n if (i + bytesPerSequence <= end) {\n var secondByte, thirdByte, fourthByte, tempCodePoint\n\n switch (bytesPerSequence) {\n case 1:\n if (firstByte < 0x80) {\n codePoint = firstByte\n }\n break\n case 2:\n secondByte = buf[i + 1]\n if ((secondByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0x1F) << 0x6 | (secondByte & 0x3F)\n if (tempCodePoint > 0x7F) {\n codePoint = tempCodePoint\n }\n }\n break\n case 3:\n secondByte = buf[i + 1]\n thirdByte = buf[i + 2]\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | (thirdByte & 0x3F)\n if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) {\n codePoint = tempCodePoint\n }\n }\n break\n case 4:\n secondByte = buf[i + 1]\n thirdByte = buf[i + 2]\n fourthByte = buf[i + 3]\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | (fourthByte & 0x3F)\n if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) {\n codePoint = tempCodePoint\n }\n }\n }\n }\n\n if (codePoint === null) {\n // we did not generate a valid codePoint so insert a\n // replacement char (U+FFFD) and advance only 1 byte\n codePoint = 0xFFFD\n bytesPerSequence = 1\n } else if (codePoint > 0xFFFF) {\n // encode to utf16 (surrogate pair dance)\n codePoint -= 0x10000\n res.push(codePoint >>> 10 & 0x3FF | 0xD800)\n codePoint = 0xDC00 | codePoint & 0x3FF\n }\n\n res.push(codePoint)\n i += bytesPerSequence\n }\n\n return decodeCodePointsArray(res)\n}\n\n// Based on http://stackoverflow.com/a/22747272/680742, the browser with\n// the lowest limit is Chrome, with 0x10000 args.\n// We go 1 magnitude less, for safety\nvar MAX_ARGUMENTS_LENGTH = 0x1000\n\nfunction decodeCodePointsArray (codePoints) {\n var len = codePoints.length\n if (len <= MAX_ARGUMENTS_LENGTH) {\n return String.fromCharCode.apply(String, codePoints) // avoid extra slice()\n }\n\n // Decode in chunks to avoid \"call stack size exceeded\".\n var res = ''\n var i = 0\n while (i < len) {\n res += String.fromCharCode.apply(\n String,\n codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH)\n )\n }\n return res\n}\n\nfunction asciiSlice (buf, start, end) {\n var ret = ''\n end = Math.min(buf.length, end)\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i] & 0x7F)\n }\n return ret\n}\n\nfunction latin1Slice (buf, start, end) {\n var ret = ''\n end = Math.min(buf.length, end)\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i])\n }\n return ret\n}\n\nfunction hexSlice (buf, start, end) {\n var len = buf.length\n\n if (!start || start < 0) start = 0\n if (!end || end < 0 || end > len) end = len\n\n var out = ''\n for (var i = start; i < end; ++i) {\n out += toHex(buf[i])\n }\n return out\n}\n\nfunction utf16leSlice (buf, start, end) {\n var bytes = buf.slice(start, end)\n var res = ''\n for (var i = 0; i < bytes.length; i += 2) {\n res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256)\n }\n return res\n}\n\nBuffer.prototype.slice = function slice (start, end) {\n var len = this.length\n start = ~~start\n end = end === undefined ? len : ~~end\n\n if (start < 0) {\n start += len\n if (start < 0) start = 0\n } else if (start > len) {\n start = len\n }\n\n if (end < 0) {\n end += len\n if (end < 0) end = 0\n } else if (end > len) {\n end = len\n }\n\n if (end < start) end = start\n\n var newBuf\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n newBuf = this.subarray(start, end)\n newBuf.__proto__ = Buffer.prototype\n } else {\n var sliceLen = end - start\n newBuf = new Buffer(sliceLen, undefined)\n for (var i = 0; i < sliceLen; ++i) {\n newBuf[i] = this[i + start]\n }\n }\n\n return newBuf\n}\n\n/*\n * Need to make sure that buffer isn't trying to write out of bounds.\n */\nfunction checkOffset (offset, ext, length) {\n if ((offset % 1) !== 0 || offset < 0) throw new RangeError('offset is not uint')\n if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length')\n}\n\nBuffer.prototype.readUIntLE = function readUIntLE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var val = this[offset]\n var mul = 1\n var i = 0\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul\n }\n\n return val\n}\n\nBuffer.prototype.readUIntBE = function readUIntBE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n checkOffset(offset, byteLength, this.length)\n }\n\n var val = this[offset + --byteLength]\n var mul = 1\n while (byteLength > 0 && (mul *= 0x100)) {\n val += this[offset + --byteLength] * mul\n }\n\n return val\n}\n\nBuffer.prototype.readUInt8 = function readUInt8 (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length)\n return this[offset]\n}\n\nBuffer.prototype.readUInt16LE = function readUInt16LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n return this[offset] | (this[offset + 1] << 8)\n}\n\nBuffer.prototype.readUInt16BE = function readUInt16BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n return (this[offset] << 8) | this[offset + 1]\n}\n\nBuffer.prototype.readUInt32LE = function readUInt32LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return ((this[offset]) |\n (this[offset + 1] << 8) |\n (this[offset + 2] << 16)) +\n (this[offset + 3] * 0x1000000)\n}\n\nBuffer.prototype.readUInt32BE = function readUInt32BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset] * 0x1000000) +\n ((this[offset + 1] << 16) |\n (this[offset + 2] << 8) |\n this[offset + 3])\n}\n\nBuffer.prototype.readIntLE = function readIntLE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var val = this[offset]\n var mul = 1\n var i = 0\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul\n }\n mul *= 0x80\n\n if (val >= mul) val -= Math.pow(2, 8 * byteLength)\n\n return val\n}\n\nBuffer.prototype.readIntBE = function readIntBE (offset, byteLength, noAssert) {\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) checkOffset(offset, byteLength, this.length)\n\n var i = byteLength\n var mul = 1\n var val = this[offset + --i]\n while (i > 0 && (mul *= 0x100)) {\n val += this[offset + --i] * mul\n }\n mul *= 0x80\n\n if (val >= mul) val -= Math.pow(2, 8 * byteLength)\n\n return val\n}\n\nBuffer.prototype.readInt8 = function readInt8 (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length)\n if (!(this[offset] & 0x80)) return (this[offset])\n return ((0xff - this[offset] + 1) * -1)\n}\n\nBuffer.prototype.readInt16LE = function readInt16LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n var val = this[offset] | (this[offset + 1] << 8)\n return (val & 0x8000) ? val | 0xFFFF0000 : val\n}\n\nBuffer.prototype.readInt16BE = function readInt16BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length)\n var val = this[offset + 1] | (this[offset] << 8)\n return (val & 0x8000) ? val | 0xFFFF0000 : val\n}\n\nBuffer.prototype.readInt32LE = function readInt32LE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset]) |\n (this[offset + 1] << 8) |\n (this[offset + 2] << 16) |\n (this[offset + 3] << 24)\n}\n\nBuffer.prototype.readInt32BE = function readInt32BE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n\n return (this[offset] << 24) |\n (this[offset + 1] << 16) |\n (this[offset + 2] << 8) |\n (this[offset + 3])\n}\n\nBuffer.prototype.readFloatLE = function readFloatLE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n return ieee754.read(this, offset, true, 23, 4)\n}\n\nBuffer.prototype.readFloatBE = function readFloatBE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length)\n return ieee754.read(this, offset, false, 23, 4)\n}\n\nBuffer.prototype.readDoubleLE = function readDoubleLE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length)\n return ieee754.read(this, offset, true, 52, 8)\n}\n\nBuffer.prototype.readDoubleBE = function readDoubleBE (offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length)\n return ieee754.read(this, offset, false, 52, 8)\n}\n\nfunction checkInt (buf, value, offset, ext, max, min) {\n if (!Buffer.isBuffer(buf)) throw new TypeError('\"buffer\" argument must be a Buffer instance')\n if (value > max || value < min) throw new RangeError('\"value\" argument is out of bounds')\n if (offset + ext > buf.length) throw new RangeError('Index out of range')\n}\n\nBuffer.prototype.writeUIntLE = function writeUIntLE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1\n checkInt(this, value, offset, byteLength, maxBytes, 0)\n }\n\n var mul = 1\n var i = 0\n this[offset] = value & 0xFF\n while (++i < byteLength && (mul *= 0x100)) {\n this[offset + i] = (value / mul) & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeUIntBE = function writeUIntBE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n byteLength = byteLength | 0\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1\n checkInt(this, value, offset, byteLength, maxBytes, 0)\n }\n\n var i = byteLength - 1\n var mul = 1\n this[offset + i] = value & 0xFF\n while (--i >= 0 && (mul *= 0x100)) {\n this[offset + i] = (value / mul) & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeUInt8 = function writeUInt8 (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0)\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)\n this[offset] = (value & 0xff)\n return offset + 1\n}\n\nfunction objectWriteUInt16 (buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffff + value + 1\n for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) {\n buf[offset + i] = (value & (0xff << (8 * (littleEndian ? i : 1 - i)))) >>>\n (littleEndian ? i : 1 - i) * 8\n }\n}\n\nBuffer.prototype.writeUInt16LE = function writeUInt16LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n } else {\n objectWriteUInt16(this, value, offset, true)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeUInt16BE = function writeUInt16BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 8)\n this[offset + 1] = (value & 0xff)\n } else {\n objectWriteUInt16(this, value, offset, false)\n }\n return offset + 2\n}\n\nfunction objectWriteUInt32 (buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffffffff + value + 1\n for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) {\n buf[offset + i] = (value >>> (littleEndian ? i : 3 - i) * 8) & 0xff\n }\n}\n\nBuffer.prototype.writeUInt32LE = function writeUInt32LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset + 3] = (value >>> 24)\n this[offset + 2] = (value >>> 16)\n this[offset + 1] = (value >>> 8)\n this[offset] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, true)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeUInt32BE = function writeUInt32BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 24)\n this[offset + 1] = (value >>> 16)\n this[offset + 2] = (value >>> 8)\n this[offset + 3] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, false)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeIntLE = function writeIntLE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1)\n\n checkInt(this, value, offset, byteLength, limit - 1, -limit)\n }\n\n var i = 0\n var mul = 1\n var sub = 0\n this[offset] = value & 0xFF\n while (++i < byteLength && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) {\n sub = 1\n }\n this[offset + i] = ((value / mul) >> 0) - sub & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeIntBE = function writeIntBE (value, offset, byteLength, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1)\n\n checkInt(this, value, offset, byteLength, limit - 1, -limit)\n }\n\n var i = byteLength - 1\n var mul = 1\n var sub = 0\n this[offset + i] = value & 0xFF\n while (--i >= 0 && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) {\n sub = 1\n }\n this[offset + i] = ((value / mul) >> 0) - sub & 0xFF\n }\n\n return offset + byteLength\n}\n\nBuffer.prototype.writeInt8 = function writeInt8 (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80)\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value)\n if (value < 0) value = 0xff + value + 1\n this[offset] = (value & 0xff)\n return offset + 1\n}\n\nBuffer.prototype.writeInt16LE = function writeInt16LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n } else {\n objectWriteUInt16(this, value, offset, true)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeInt16BE = function writeInt16BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 8)\n this[offset + 1] = (value & 0xff)\n } else {\n objectWriteUInt16(this, value, offset, false)\n }\n return offset + 2\n}\n\nBuffer.prototype.writeInt32LE = function writeInt32LE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value & 0xff)\n this[offset + 1] = (value >>> 8)\n this[offset + 2] = (value >>> 16)\n this[offset + 3] = (value >>> 24)\n } else {\n objectWriteUInt32(this, value, offset, true)\n }\n return offset + 4\n}\n\nBuffer.prototype.writeInt32BE = function writeInt32BE (value, offset, noAssert) {\n value = +value\n offset = offset | 0\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000)\n if (value < 0) value = 0xffffffff + value + 1\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = (value >>> 24)\n this[offset + 1] = (value >>> 16)\n this[offset + 2] = (value >>> 8)\n this[offset + 3] = (value & 0xff)\n } else {\n objectWriteUInt32(this, value, offset, false)\n }\n return offset + 4\n}\n\nfunction checkIEEE754 (buf, value, offset, ext, max, min) {\n if (offset + ext > buf.length) throw new RangeError('Index out of range')\n if (offset < 0) throw new RangeError('Index out of range')\n}\n\nfunction writeFloat (buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38)\n }\n ieee754.write(buf, value, offset, littleEndian, 23, 4)\n return offset + 4\n}\n\nBuffer.prototype.writeFloatLE = function writeFloatLE (value, offset, noAssert) {\n return writeFloat(this, value, offset, true, noAssert)\n}\n\nBuffer.prototype.writeFloatBE = function writeFloatBE (value, offset, noAssert) {\n return writeFloat(this, value, offset, false, noAssert)\n}\n\nfunction writeDouble (buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308)\n }\n ieee754.write(buf, value, offset, littleEndian, 52, 8)\n return offset + 8\n}\n\nBuffer.prototype.writeDoubleLE = function writeDoubleLE (value, offset, noAssert) {\n return writeDouble(this, value, offset, true, noAssert)\n}\n\nBuffer.prototype.writeDoubleBE = function writeDoubleBE (value, offset, noAssert) {\n return writeDouble(this, value, offset, false, noAssert)\n}\n\n// copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)\nBuffer.prototype.copy = function copy (target, targetStart, start, end) {\n if (!start) start = 0\n if (!end && end !== 0) end = this.length\n if (targetStart >= target.length) targetStart = target.length\n if (!targetStart) targetStart = 0\n if (end > 0 && end < start) end = start\n\n // Copy 0 bytes; we're done\n if (end === start) return 0\n if (target.length === 0 || this.length === 0) return 0\n\n // Fatal error conditions\n if (targetStart < 0) {\n throw new RangeError('targetStart out of bounds')\n }\n if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds')\n if (end < 0) throw new RangeError('sourceEnd out of bounds')\n\n // Are we oob?\n if (end > this.length) end = this.length\n if (target.length - targetStart < end - start) {\n end = target.length - targetStart + start\n }\n\n var len = end - start\n var i\n\n if (this === target && start < targetStart && targetStart < end) {\n // descending copy from end\n for (i = len - 1; i >= 0; --i) {\n target[i + targetStart] = this[i + start]\n }\n } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) {\n // ascending copy from start\n for (i = 0; i < len; ++i) {\n target[i + targetStart] = this[i + start]\n }\n } else {\n Uint8Array.prototype.set.call(\n target,\n this.subarray(start, start + len),\n targetStart\n )\n }\n\n return len\n}\n\n// Usage:\n// buffer.fill(number[, offset[, end]])\n// buffer.fill(buffer[, offset[, end]])\n// buffer.fill(string[, offset[, end]][, encoding])\nBuffer.prototype.fill = function fill (val, start, end, encoding) {\n // Handle string cases:\n if (typeof val === 'string') {\n if (typeof start === 'string') {\n encoding = start\n start = 0\n end = this.length\n } else if (typeof end === 'string') {\n encoding = end\n end = this.length\n }\n if (val.length === 1) {\n var code = val.charCodeAt(0)\n if (code < 256) {\n val = code\n }\n }\n if (encoding !== undefined && typeof encoding !== 'string') {\n throw new TypeError('encoding must be a string')\n }\n if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) {\n throw new TypeError('Unknown encoding: ' + encoding)\n }\n } else if (typeof val === 'number') {\n val = val & 255\n }\n\n // Invalid ranges are not set to a default, so can range check early.\n if (start < 0 || this.length < start || this.length < end) {\n throw new RangeError('Out of range index')\n }\n\n if (end <= start) {\n return this\n }\n\n start = start >>> 0\n end = end === undefined ? this.length : end >>> 0\n\n if (!val) val = 0\n\n var i\n if (typeof val === 'number') {\n for (i = start; i < end; ++i) {\n this[i] = val\n }\n } else {\n var bytes = Buffer.isBuffer(val)\n ? val\n : utf8ToBytes(new Buffer(val, encoding).toString())\n var len = bytes.length\n for (i = 0; i < end - start; ++i) {\n this[i + start] = bytes[i % len]\n }\n }\n\n return this\n}\n\n// HELPER FUNCTIONS\n// ================\n\nvar INVALID_BASE64_RE = /[^+\\/0-9A-Za-z-_]/g\n\nfunction base64clean (str) {\n // Node strips out invalid characters like \\n and \\t from the string, base64-js does not\n str = stringtrim(str).replace(INVALID_BASE64_RE, '')\n // Node converts strings with length < 2 to ''\n if (str.length < 2) return ''\n // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not\n while (str.length % 4 !== 0) {\n str = str + '='\n }\n return str\n}\n\nfunction stringtrim (str) {\n if (str.trim) return str.trim()\n return str.replace(/^\\s+|\\s+$/g, '')\n}\n\nfunction toHex (n) {\n if (n < 16) return '0' + n.toString(16)\n return n.toString(16)\n}\n\nfunction utf8ToBytes (string, units) {\n units = units || Infinity\n var codePoint\n var length = string.length\n var leadSurrogate = null\n var bytes = []\n\n for (var i = 0; i < length; ++i) {\n codePoint = string.charCodeAt(i)\n\n // is surrogate component\n if (codePoint > 0xD7FF && codePoint < 0xE000) {\n // last char was a lead\n if (!leadSurrogate) {\n // no lead yet\n if (codePoint > 0xDBFF) {\n // unexpected trail\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n continue\n } else if (i + 1 === length) {\n // unpaired lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n continue\n }\n\n // valid lead\n leadSurrogate = codePoint\n\n continue\n }\n\n // 2 leads in a row\n if (codePoint < 0xDC00) {\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n leadSurrogate = codePoint\n continue\n }\n\n // valid surrogate pair\n codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000\n } else if (leadSurrogate) {\n // valid bmp char, but last char was a lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD)\n }\n\n leadSurrogate = null\n\n // encode utf8\n if (codePoint < 0x80) {\n if ((units -= 1) < 0) break\n bytes.push(codePoint)\n } else if (codePoint < 0x800) {\n if ((units -= 2) < 0) break\n bytes.push(\n codePoint >> 0x6 | 0xC0,\n codePoint & 0x3F | 0x80\n )\n } else if (codePoint < 0x10000) {\n if ((units -= 3) < 0) break\n bytes.push(\n codePoint >> 0xC | 0xE0,\n codePoint >> 0x6 & 0x3F | 0x80,\n codePoint & 0x3F | 0x80\n )\n } else if (codePoint < 0x110000) {\n if ((units -= 4) < 0) break\n bytes.push(\n codePoint >> 0x12 | 0xF0,\n codePoint >> 0xC & 0x3F | 0x80,\n codePoint >> 0x6 & 0x3F | 0x80,\n codePoint & 0x3F | 0x80\n )\n } else {\n throw new Error('Invalid code point')\n }\n }\n\n return bytes\n}\n\nfunction asciiToBytes (str) {\n var byteArray = []\n for (var i = 0; i < str.length; ++i) {\n // Node's code seems to be doing this and not & 0x7F..\n byteArray.push(str.charCodeAt(i) & 0xFF)\n }\n return byteArray\n}\n\nfunction utf16leToBytes (str, units) {\n var c, hi, lo\n var byteArray = []\n for (var i = 0; i < str.length; ++i) {\n if ((units -= 2) < 0) break\n\n c = str.charCodeAt(i)\n hi = c >> 8\n lo = c % 256\n byteArray.push(lo)\n byteArray.push(hi)\n }\n\n return byteArray\n}\n\nfunction base64ToBytes (str) {\n return base64.toByteArray(base64clean(str))\n}\n\nfunction blitBuffer (src, dst, offset, length) {\n for (var i = 0; i < length; ++i) {\n if ((i + offset >= dst.length) || (i >= src.length)) break\n dst[i + offset] = src[i]\n }\n return i\n}\n\nfunction isnan (val) {\n return val !== val // eslint-disable-line no-self-compare\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/buffer/index.js\n// module id = 0\n// module chunks = 0","module.exports = function(module) {\r\n\tif(!module.webpackPolyfill) {\r\n\t\tmodule.deprecate = function() {};\r\n\t\tmodule.paths = [];\r\n\t\t// module.parent = undefined by default\r\n\t\tif(!module.children) module.children = [];\r\n\t\tObject.defineProperty(module, \"loaded\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tconfigurable: false,\r\n\t\t\tget: function() { return module.l; }\r\n\t\t});\r\n\t\tObject.defineProperty(module, \"id\", {\r\n\t\t\tenumerable: true,\r\n\t\t\tconfigurable: false,\r\n\t\t\tget: function() { return module.i; }\r\n\t\t});\r\n\t\tmodule.webpackPolyfill = 1;\r\n\t}\r\n\treturn module;\r\n}\r\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// (webpack)/buildin/module.js\n// module id = 1\n// module chunks = 0","(function (module, exports) {\n 'use strict';\n\n // Utils\n function assert (val, msg) {\n if (!val) throw new Error(msg || 'Assertion failed');\n }\n\n // Could use `inherits` module, but don't want to move from single file\n // architecture yet.\n function inherits (ctor, superCtor) {\n ctor.super_ = superCtor;\n var TempCtor = function () {};\n TempCtor.prototype = superCtor.prototype;\n ctor.prototype = new TempCtor();\n ctor.prototype.constructor = ctor;\n }\n\n // BN\n\n function BN (number, base, endian) {\n if (BN.isBN(number)) {\n return number;\n }\n\n this.negative = 0;\n this.words = null;\n this.length = 0;\n\n // Reduction context\n this.red = null;\n\n if (number !== null) {\n if (base === 'le' || base === 'be') {\n endian = base;\n base = 10;\n }\n\n this._init(number || 0, base || 10, endian || 'be');\n }\n }\n if (typeof module === 'object') {\n module.exports = BN;\n } else {\n exports.BN = BN;\n }\n\n BN.BN = BN;\n BN.wordSize = 26;\n\n var Buffer;\n try {\n Buffer = require('buffer').Buffer;\n } catch (e) {\n }\n\n BN.isBN = function isBN (num) {\n if (num instanceof BN) {\n return true;\n }\n\n return num !== null && typeof num === 'object' &&\n num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n };\n\n BN.max = function max (left, right) {\n if (left.cmp(right) > 0) return left;\n return right;\n };\n\n BN.min = function min (left, right) {\n if (left.cmp(right) < 0) return left;\n return right;\n };\n\n BN.prototype._init = function init (number, base, endian) {\n if (typeof number === 'number') {\n return this._initNumber(number, base, endian);\n }\n\n if (typeof number === 'object') {\n return this._initArray(number, base, endian);\n }\n\n if (base === 'hex') {\n base = 16;\n }\n assert(base === (base | 0) && base >= 2 && base <= 36);\n\n number = number.toString().replace(/\\s+/g, '');\n var start = 0;\n if (number[0] === '-') {\n start++;\n }\n\n if (base === 16) {\n this._parseHex(number, start);\n } else {\n this._parseBase(number, base, start);\n }\n\n if (number[0] === '-') {\n this.negative = 1;\n }\n\n this.strip();\n\n if (endian !== 'le') return;\n\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initNumber = function _initNumber (number, base, endian) {\n if (number < 0) {\n this.negative = 1;\n number = -number;\n }\n if (number < 0x4000000) {\n this.words = [ number & 0x3ffffff ];\n this.length = 1;\n } else if (number < 0x10000000000000) {\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff\n ];\n this.length = 2;\n } else {\n assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff,\n 1\n ];\n this.length = 3;\n }\n\n if (endian !== 'le') return;\n\n // Reverse the bytes\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initArray = function _initArray (number, base, endian) {\n // Perhaps a Uint8Array\n assert(typeof number.length === 'number');\n if (number.length <= 0) {\n this.words = [ 0 ];\n this.length = 1;\n return this;\n }\n\n this.length = Math.ceil(number.length / 3);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n var off = 0;\n if (endian === 'be') {\n for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n } else if (endian === 'le') {\n for (i = 0, j = 0; i < number.length; i += 3) {\n w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n }\n return this.strip();\n };\n\n function parseHex (str, start, end) {\n var r = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r <<= 4;\n\n // 'a' - 'f'\n if (c >= 49 && c <= 54) {\n r |= c - 49 + 0xa;\n\n // 'A' - 'F'\n } else if (c >= 17 && c <= 22) {\n r |= c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n r |= c & 0xf;\n }\n }\n return r;\n }\n\n BN.prototype._parseHex = function _parseHex (number, start) {\n // Create possibly bigger array to ensure that it fits the number\n this.length = Math.ceil((number.length - start) / 6);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n // Scan 24-bit chunks and add them to the number\n var off = 0;\n for (i = number.length - 6, j = 0; i >= start; i -= 6) {\n w = parseHex(number, i, i + 6);\n this.words[j] |= (w << off) & 0x3ffffff;\n // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb\n this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n if (i + 6 !== start) {\n w = parseHex(number, start, i + 6);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;\n }\n this.strip();\n };\n\n function parseBase (str, start, end, mul) {\n var r = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r *= mul;\n\n // 'a'\n if (c >= 49) {\n r += c - 49 + 0xa;\n\n // 'A'\n } else if (c >= 17) {\n r += c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n r += c;\n }\n }\n return r;\n }\n\n BN.prototype._parseBase = function _parseBase (number, base, start) {\n // Initialize as zero\n this.words = [ 0 ];\n this.length = 1;\n\n // Find length of limb in base\n for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n limbLen++;\n }\n limbLen--;\n limbPow = (limbPow / base) | 0;\n\n var total = number.length - start;\n var mod = total % limbLen;\n var end = Math.min(total, total - mod) + start;\n\n var word = 0;\n for (var i = start; i < end; i += limbLen) {\n word = parseBase(number, i, i + limbLen, base);\n\n this.imuln(limbPow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n if (mod !== 0) {\n var pow = 1;\n word = parseBase(number, i, number.length, base);\n\n for (i = 0; i < mod; i++) {\n pow *= base;\n }\n\n this.imuln(pow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n };\n\n BN.prototype.copy = function copy (dest) {\n dest.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n dest.words[i] = this.words[i];\n }\n dest.length = this.length;\n dest.negative = this.negative;\n dest.red = this.red;\n };\n\n BN.prototype.clone = function clone () {\n var r = new BN(null);\n this.copy(r);\n return r;\n };\n\n BN.prototype._expand = function _expand (size) {\n while (this.length < size) {\n this.words[this.length++] = 0;\n }\n return this;\n };\n\n // Remove leading `0` from `this`\n BN.prototype.strip = function strip () {\n while (this.length > 1 && this.words[this.length - 1] === 0) {\n this.length--;\n }\n return this._normSign();\n };\n\n BN.prototype._normSign = function _normSign () {\n // -0 = 0\n if (this.length === 1 && this.words[0] === 0) {\n this.negative = 0;\n }\n return this;\n };\n\n BN.prototype.inspect = function inspect () {\n return (this.red ? '';\n };\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16);\n };\n\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n assert(typeof Buffer !== 'undefined');\n return this.toArrayLike(Buffer, endian, length);\n };\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n this.strip();\n var littleEndian = endian === 'le';\n var res = new ArrayType(reqLength);\n\n var b, i;\n var q = this.clone();\n if (!littleEndian) {\n // Assume big-endian\n for (i = 0; i < reqLength - byteLength; i++) {\n res[i] = 0;\n }\n\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[reqLength - i - 1] = b;\n }\n } else {\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[i] = b;\n }\n\n for (; i < reqLength; i++) {\n res[i] = 0;\n }\n }\n\n return res;\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this.strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this.strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this.strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this.strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this.strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this.strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n function jumboMulTo (self, num, out) {\n var fftm = new FFTM();\n return fftm.mulp(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out.strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this.strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) < num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this.strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this.strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this.strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q.strip();\n }\n a.strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modn = function modn (num) {\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return acc;\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n return this.strip();\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this.strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n r.strip();\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n return a.umod(this.m)._forceRed(this);\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1).toRed(this);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/bn.js/lib/bn.js\n// module id = 2\n// module chunks = 0","var BN = require('bn.js');\nvar stripHexPrefix = require('strip-hex-prefix');\n\n/**\n * Returns a BN object, converts a number value to a BN\n * @param {String|Number|Object} `arg` input a string number, hex string number, number, BigNumber or BN object\n * @return {Object} `output` BN object of the number\n * @throws if the argument is not an array, object that isn't a bignumber, not a string number or number\n */\nmodule.exports = function numberToBN(arg) {\n if (typeof arg === 'string' || typeof arg === 'number') {\n var multiplier = new BN(1); // eslint-disable-line\n var formattedString = String(arg).toLowerCase().trim();\n var isHexPrefixed = formattedString.substr(0, 2) === '0x' || formattedString.substr(0, 3) === '-0x';\n var stringArg = stripHexPrefix(formattedString); // eslint-disable-line\n if (stringArg.substr(0, 1) === '-') {\n stringArg = stripHexPrefix(stringArg.slice(1));\n multiplier = new BN(-1, 10);\n }\n stringArg = stringArg === '' ? '0' : stringArg;\n\n if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/))\n || stringArg.match(/^[a-fA-F]+$/)\n || (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) {\n return new BN(stringArg, 16).mul(multiplier);\n }\n\n if ((stringArg.match(/^-?[0-9]+$/) || stringArg === '') && isHexPrefixed === false) {\n return new BN(stringArg, 10).mul(multiplier);\n }\n } else if (typeof arg === 'object' && arg.toString && (!arg.pop && !arg.push)) {\n if (arg.toString(10).match(/^-?[0-9]+$/) && (arg.mul || arg.dividedToIntegerBy)) {\n return new BN(arg.toString(10), 10);\n }\n }\n\n throw new Error('[number-to-bn] while converting number ' + JSON.stringify(arg) + ' to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.');\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/number-to-bn/src/index.js\n// module id = 3\n// module chunks = 0","'use strict';\n\n/*\nPrimary Attribution\nRichard Moore \nhttps://github.com/ethers-io\n\nNote, Richard is a god of ether gods. Follow and respect him, and use Ethers.io!\n*/\n\nvar BN = require('bn.js');\nvar numberToBN = require('number-to-bn');\n\nvar zero = new BN(0);\nvar negative1 = new BN(-1);\n\n// complete ethereum unit map\nvar unitMap = {\n 'noether': '0', // eslint-disable-line\n 'wei': '1', // eslint-disable-line\n 'kwei': '1000', // eslint-disable-line\n 'Kwei': '1000', // eslint-disable-line\n 'babbage': '1000', // eslint-disable-line\n 'femtoether': '1000', // eslint-disable-line\n 'mwei': '1000000', // eslint-disable-line\n 'Mwei': '1000000', // eslint-disable-line\n 'lovelace': '1000000', // eslint-disable-line\n 'picoether': '1000000', // eslint-disable-line\n 'gwei': '1000000000', // eslint-disable-line\n 'Gwei': '1000000000', // eslint-disable-line\n 'shannon': '1000000000', // eslint-disable-line\n 'nanoether': '1000000000', // eslint-disable-line\n 'nano': '1000000000', // eslint-disable-line\n 'szabo': '1000000000000', // eslint-disable-line\n 'microether': '1000000000000', // eslint-disable-line\n 'micro': '1000000000000', // eslint-disable-line\n 'finney': '1000000000000000', // eslint-disable-line\n 'milliether': '1000000000000000', // eslint-disable-line\n 'milli': '1000000000000000', // eslint-disable-line\n 'ether': '1000000000000000000', // eslint-disable-line\n 'kether': '1000000000000000000000', // eslint-disable-line\n 'grand': '1000000000000000000000', // eslint-disable-line\n 'mether': '1000000000000000000000000', // eslint-disable-line\n 'gether': '1000000000000000000000000000', // eslint-disable-line\n 'tether': '1000000000000000000000000000000' // eslint-disable-line\n};\n\n/**\n * Returns value of unit in Wei\n *\n * @method getValueOfUnit\n * @param {String} unit the unit to convert to, default ether\n * @returns {BigNumber} value of the unit (in Wei)\n * @throws error if the unit is not correct:w\n */\nfunction getValueOfUnit(unitInput) {\n var unit = unitInput ? unitInput.toLowerCase() : 'ether';\n var unitValue = unitMap[unit]; // eslint-disable-line\n\n if (typeof unitValue !== 'string') {\n throw new Error('[ethjs-unit] the unit provided ' + unitInput + ' doesn\\'t exists, please use the one of the following units ' + JSON.stringify(unitMap, null, 2));\n }\n\n return new BN(unitValue, 10);\n}\n\nfunction numberToString(arg) {\n if (typeof arg === 'string') {\n if (!arg.match(/^-?[0-9.]+$/)) {\n throw new Error('while converting number to string, invalid number value \\'' + arg + '\\', should be a number matching (^-?[0-9.]+).');\n }\n return arg;\n } else if (typeof arg === 'number') {\n return String(arg);\n } else if (typeof arg === 'object' && arg.toString && (arg.toTwos || arg.dividedToIntegerBy)) {\n if (arg.toPrecision) {\n return String(arg.toPrecision());\n } else {\n // eslint-disable-line\n return arg.toString(10);\n }\n }\n throw new Error('while converting number to string, invalid number value \\'' + arg + '\\' type ' + typeof arg + '.');\n}\n\nfunction fromWei(weiInput, unit, optionsInput) {\n var wei = numberToBN(weiInput); // eslint-disable-line\n var negative = wei.lt(zero); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n var options = optionsInput || {};\n\n if (negative) {\n wei = wei.mul(negative1);\n }\n\n var fraction = wei.mod(base).toString(10); // eslint-disable-line\n\n while (fraction.length < baseLength) {\n fraction = '0' + fraction;\n }\n\n if (!options.pad) {\n fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1];\n }\n\n var whole = wei.div(base).toString(10); // eslint-disable-line\n\n if (options.commify) {\n whole = whole.replace(/\\B(?=(\\d{3})+(?!\\d))/g, ',');\n }\n\n var value = '' + whole + (fraction == '0' ? '' : '.' + fraction); // eslint-disable-line\n\n if (negative) {\n value = '-' + value;\n }\n\n return value;\n}\n\nfunction toWei(etherInput, unit) {\n var ether = numberToString(etherInput); // eslint-disable-line\n var base = getValueOfUnit(unit);\n var baseLength = unitMap[unit].length - 1 || 1;\n\n // Is it negative?\n var negative = ether.substring(0, 1) === '-'; // eslint-disable-line\n if (negative) {\n ether = ether.substring(1);\n }\n\n if (ether === '.') {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, invalid value');\n }\n\n // Split it into a whole and fractional part\n var comps = ether.split('.'); // eslint-disable-line\n if (comps.length > 2) {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal points');\n }\n\n var whole = comps[0],\n fraction = comps[1]; // eslint-disable-line\n\n if (!whole) {\n whole = '0';\n }\n if (!fraction) {\n fraction = '0';\n }\n if (fraction.length > baseLength) {\n throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, too many decimal places');\n }\n\n while (fraction.length < baseLength) {\n fraction += '0';\n }\n\n whole = new BN(whole);\n fraction = new BN(fraction);\n var wei = whole.mul(base).add(fraction); // eslint-disable-line\n\n if (negative) {\n wei = wei.mul(negative1);\n }\n\n return new BN(wei.toString(10), 10);\n}\n\nmodule.exports = {\n unitMap: unitMap,\n numberToString: numberToString,\n getValueOfUnit: getValueOfUnit,\n fromWei: fromWei,\n toWei: toWei\n};\n\n\n// WEBPACK FOOTER //\n// lib/index.js","'use strict'\n\nexports.byteLength = byteLength\nexports.toByteArray = toByteArray\nexports.fromByteArray = fromByteArray\n\nvar lookup = []\nvar revLookup = []\nvar Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array\n\nvar code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'\nfor (var i = 0, len = code.length; i < len; ++i) {\n lookup[i] = code[i]\n revLookup[code.charCodeAt(i)] = i\n}\n\n// Support decoding URL-safe base64 strings, as Node.js does.\n// See: https://en.wikipedia.org/wiki/Base64#URL_applications\nrevLookup['-'.charCodeAt(0)] = 62\nrevLookup['_'.charCodeAt(0)] = 63\n\nfunction getLens (b64) {\n var len = b64.length\n\n if (len % 4 > 0) {\n throw new Error('Invalid string. Length must be a multiple of 4')\n }\n\n // Trim off extra bytes after placeholder bytes are found\n // See: https://github.com/beatgammit/base64-js/issues/42\n var validLen = b64.indexOf('=')\n if (validLen === -1) validLen = len\n\n var placeHoldersLen = validLen === len\n ? 0\n : 4 - (validLen % 4)\n\n return [validLen, placeHoldersLen]\n}\n\n// base64 is 4/3 + up to two characters of the original data\nfunction byteLength (b64) {\n var lens = getLens(b64)\n var validLen = lens[0]\n var placeHoldersLen = lens[1]\n return ((validLen + placeHoldersLen) * 3 / 4) - placeHoldersLen\n}\n\nfunction _byteLength (b64, validLen, placeHoldersLen) {\n return ((validLen + placeHoldersLen) * 3 / 4) - placeHoldersLen\n}\n\nfunction toByteArray (b64) {\n var tmp\n var lens = getLens(b64)\n var validLen = lens[0]\n var placeHoldersLen = lens[1]\n\n var arr = new Arr(_byteLength(b64, validLen, placeHoldersLen))\n\n var curByte = 0\n\n // if there are placeholders, only get up to the last complete 4 chars\n var len = placeHoldersLen > 0\n ? validLen - 4\n : validLen\n\n var i\n for (i = 0; i < len; i += 4) {\n tmp =\n (revLookup[b64.charCodeAt(i)] << 18) |\n (revLookup[b64.charCodeAt(i + 1)] << 12) |\n (revLookup[b64.charCodeAt(i + 2)] << 6) |\n revLookup[b64.charCodeAt(i + 3)]\n arr[curByte++] = (tmp >> 16) & 0xFF\n arr[curByte++] = (tmp >> 8) & 0xFF\n arr[curByte++] = tmp & 0xFF\n }\n\n if (placeHoldersLen === 2) {\n tmp =\n (revLookup[b64.charCodeAt(i)] << 2) |\n (revLookup[b64.charCodeAt(i + 1)] >> 4)\n arr[curByte++] = tmp & 0xFF\n }\n\n if (placeHoldersLen === 1) {\n tmp =\n (revLookup[b64.charCodeAt(i)] << 10) |\n (revLookup[b64.charCodeAt(i + 1)] << 4) |\n (revLookup[b64.charCodeAt(i + 2)] >> 2)\n arr[curByte++] = (tmp >> 8) & 0xFF\n arr[curByte++] = tmp & 0xFF\n }\n\n return arr\n}\n\nfunction tripletToBase64 (num) {\n return lookup[num >> 18 & 0x3F] +\n lookup[num >> 12 & 0x3F] +\n lookup[num >> 6 & 0x3F] +\n lookup[num & 0x3F]\n}\n\nfunction encodeChunk (uint8, start, end) {\n var tmp\n var output = []\n for (var i = start; i < end; i += 3) {\n tmp =\n ((uint8[i] << 16) & 0xFF0000) +\n ((uint8[i + 1] << 8) & 0xFF00) +\n (uint8[i + 2] & 0xFF)\n output.push(tripletToBase64(tmp))\n }\n return output.join('')\n}\n\nfunction fromByteArray (uint8) {\n var tmp\n var len = uint8.length\n var extraBytes = len % 3 // if we have 1 byte left, pad 2 bytes\n var parts = []\n var maxChunkLength = 16383 // must be multiple of 3\n\n // go through the array every three bytes, we'll deal with trailing stuff later\n for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) {\n parts.push(encodeChunk(\n uint8, i, (i + maxChunkLength) > len2 ? len2 : (i + maxChunkLength)\n ))\n }\n\n // pad the end with zeros, but make sure to not forget the extra bytes\n if (extraBytes === 1) {\n tmp = uint8[len - 1]\n parts.push(\n lookup[tmp >> 2] +\n lookup[(tmp << 4) & 0x3F] +\n '=='\n )\n } else if (extraBytes === 2) {\n tmp = (uint8[len - 2] << 8) + uint8[len - 1]\n parts.push(\n lookup[tmp >> 10] +\n lookup[(tmp >> 4) & 0x3F] +\n lookup[(tmp << 2) & 0x3F] +\n '='\n )\n }\n\n return parts.join('')\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/base64-js/index.js\n// module id = 5\n// module chunks = 0","exports.read = function (buffer, offset, isLE, mLen, nBytes) {\n var e, m\n var eLen = (nBytes * 8) - mLen - 1\n var eMax = (1 << eLen) - 1\n var eBias = eMax >> 1\n var nBits = -7\n var i = isLE ? (nBytes - 1) : 0\n var d = isLE ? -1 : 1\n var s = buffer[offset + i]\n\n i += d\n\n e = s & ((1 << (-nBits)) - 1)\n s >>= (-nBits)\n nBits += eLen\n for (; nBits > 0; e = (e * 256) + buffer[offset + i], i += d, nBits -= 8) {}\n\n m = e & ((1 << (-nBits)) - 1)\n e >>= (-nBits)\n nBits += mLen\n for (; nBits > 0; m = (m * 256) + buffer[offset + i], i += d, nBits -= 8) {}\n\n if (e === 0) {\n e = 1 - eBias\n } else if (e === eMax) {\n return m ? NaN : ((s ? -1 : 1) * Infinity)\n } else {\n m = m + Math.pow(2, mLen)\n e = e - eBias\n }\n return (s ? -1 : 1) * m * Math.pow(2, e - mLen)\n}\n\nexports.write = function (buffer, value, offset, isLE, mLen, nBytes) {\n var e, m, c\n var eLen = (nBytes * 8) - mLen - 1\n var eMax = (1 << eLen) - 1\n var eBias = eMax >> 1\n var rt = (mLen === 23 ? Math.pow(2, -24) - Math.pow(2, -77) : 0)\n var i = isLE ? 0 : (nBytes - 1)\n var d = isLE ? 1 : -1\n var s = value < 0 || (value === 0 && 1 / value < 0) ? 1 : 0\n\n value = Math.abs(value)\n\n if (isNaN(value) || value === Infinity) {\n m = isNaN(value) ? 1 : 0\n e = eMax\n } else {\n e = Math.floor(Math.log(value) / Math.LN2)\n if (value * (c = Math.pow(2, -e)) < 1) {\n e--\n c *= 2\n }\n if (e + eBias >= 1) {\n value += rt / c\n } else {\n value += rt * Math.pow(2, 1 - eBias)\n }\n if (value * c >= 2) {\n e++\n c /= 2\n }\n\n if (e + eBias >= eMax) {\n m = 0\n e = eMax\n } else if (e + eBias >= 1) {\n m = ((value * c) - 1) * Math.pow(2, mLen)\n e = e + eBias\n } else {\n m = value * Math.pow(2, eBias - 1) * Math.pow(2, mLen)\n e = 0\n }\n }\n\n for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}\n\n e = (e << mLen) | m\n eLen += mLen\n for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}\n\n buffer[offset + i - d] |= s * 128\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/ieee754/index.js\n// module id = 6\n// module chunks = 0","/**\n * Returns a `Boolean` on whether or not the a `String` starts with '0x'\n * @param {String} str the string input value\n * @return {Boolean} a boolean if it is or is not hex prefixed\n * @throws if the str input is not a string\n */\nmodule.exports = function isHexPrefixed(str) {\n if (typeof str !== 'string') {\n throw new Error(\"[is-hex-prefixed] value must be type 'string', is currently type \" + (typeof str) + \", while checking isHexPrefixed.\");\n }\n\n return str.slice(0, 2) === '0x';\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/is-hex-prefixed/src/index.js\n// module id = 7\n// module chunks = 0","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n return toString.call(arr) == '[object Array]';\n};\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/isarray/index.js\n// module id = 8\n// module chunks = 0","(function (module, exports) {\n 'use strict';\n\n // Utils\n function assert (val, msg) {\n if (!val) throw new Error(msg || 'Assertion failed');\n }\n\n // Could use `inherits` module, but don't want to move from single file\n // architecture yet.\n function inherits (ctor, superCtor) {\n ctor.super_ = superCtor;\n var TempCtor = function () {};\n TempCtor.prototype = superCtor.prototype;\n ctor.prototype = new TempCtor();\n ctor.prototype.constructor = ctor;\n }\n\n // BN\n\n function BN (number, base, endian) {\n if (BN.isBN(number)) {\n return number;\n }\n\n this.negative = 0;\n this.words = null;\n this.length = 0;\n\n // Reduction context\n this.red = null;\n\n if (number !== null) {\n if (base === 'le' || base === 'be') {\n endian = base;\n base = 10;\n }\n\n this._init(number || 0, base || 10, endian || 'be');\n }\n }\n if (typeof module === 'object') {\n module.exports = BN;\n } else {\n exports.BN = BN;\n }\n\n BN.BN = BN;\n BN.wordSize = 26;\n\n var Buffer;\n try {\n Buffer = require('buf' + 'fer').Buffer;\n } catch (e) {\n }\n\n BN.isBN = function isBN (num) {\n if (num instanceof BN) {\n return true;\n }\n\n return num !== null && typeof num === 'object' &&\n num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);\n };\n\n BN.max = function max (left, right) {\n if (left.cmp(right) > 0) return left;\n return right;\n };\n\n BN.min = function min (left, right) {\n if (left.cmp(right) < 0) return left;\n return right;\n };\n\n BN.prototype._init = function init (number, base, endian) {\n if (typeof number === 'number') {\n return this._initNumber(number, base, endian);\n }\n\n if (typeof number === 'object') {\n return this._initArray(number, base, endian);\n }\n\n if (base === 'hex') {\n base = 16;\n }\n assert(base === (base | 0) && base >= 2 && base <= 36);\n\n number = number.toString().replace(/\\s+/g, '');\n var start = 0;\n if (number[0] === '-') {\n start++;\n }\n\n if (base === 16) {\n this._parseHex(number, start);\n } else {\n this._parseBase(number, base, start);\n }\n\n if (number[0] === '-') {\n this.negative = 1;\n }\n\n this.strip();\n\n if (endian !== 'le') return;\n\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initNumber = function _initNumber (number, base, endian) {\n if (number < 0) {\n this.negative = 1;\n number = -number;\n }\n if (number < 0x4000000) {\n this.words = [ number & 0x3ffffff ];\n this.length = 1;\n } else if (number < 0x10000000000000) {\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff\n ];\n this.length = 2;\n } else {\n assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)\n this.words = [\n number & 0x3ffffff,\n (number / 0x4000000) & 0x3ffffff,\n 1\n ];\n this.length = 3;\n }\n\n if (endian !== 'le') return;\n\n // Reverse the bytes\n this._initArray(this.toArray(), base, endian);\n };\n\n BN.prototype._initArray = function _initArray (number, base, endian) {\n // Perhaps a Uint8Array\n assert(typeof number.length === 'number');\n if (number.length <= 0) {\n this.words = [ 0 ];\n this.length = 1;\n return this;\n }\n\n this.length = Math.ceil(number.length / 3);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n var off = 0;\n if (endian === 'be') {\n for (i = number.length - 1, j = 0; i >= 0; i -= 3) {\n w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n } else if (endian === 'le') {\n for (i = 0, j = 0; i < number.length; i += 3) {\n w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n }\n return this.strip();\n };\n\n function parseHex (str, start, end) {\n var r = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r <<= 4;\n\n // 'a' - 'f'\n if (c >= 49 && c <= 54) {\n r |= c - 49 + 0xa;\n\n // 'A' - 'F'\n } else if (c >= 17 && c <= 22) {\n r |= c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n r |= c & 0xf;\n }\n }\n return r;\n }\n\n BN.prototype._parseHex = function _parseHex (number, start) {\n // Create possibly bigger array to ensure that it fits the number\n this.length = Math.ceil((number.length - start) / 6);\n this.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n this.words[i] = 0;\n }\n\n var j, w;\n // Scan 24-bit chunks and add them to the number\n var off = 0;\n for (i = number.length - 6, j = 0; i >= start; i -= 6) {\n w = parseHex(number, i, i + 6);\n this.words[j] |= (w << off) & 0x3ffffff;\n // NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb\n this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;\n off += 24;\n if (off >= 26) {\n off -= 26;\n j++;\n }\n }\n if (i + 6 !== start) {\n w = parseHex(number, start, i + 6);\n this.words[j] |= (w << off) & 0x3ffffff;\n this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;\n }\n this.strip();\n };\n\n function parseBase (str, start, end, mul) {\n var r = 0;\n var len = Math.min(str.length, end);\n for (var i = start; i < len; i++) {\n var c = str.charCodeAt(i) - 48;\n\n r *= mul;\n\n // 'a'\n if (c >= 49) {\n r += c - 49 + 0xa;\n\n // 'A'\n } else if (c >= 17) {\n r += c - 17 + 0xa;\n\n // '0' - '9'\n } else {\n r += c;\n }\n }\n return r;\n }\n\n BN.prototype._parseBase = function _parseBase (number, base, start) {\n // Initialize as zero\n this.words = [ 0 ];\n this.length = 1;\n\n // Find length of limb in base\n for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {\n limbLen++;\n }\n limbLen--;\n limbPow = (limbPow / base) | 0;\n\n var total = number.length - start;\n var mod = total % limbLen;\n var end = Math.min(total, total - mod) + start;\n\n var word = 0;\n for (var i = start; i < end; i += limbLen) {\n word = parseBase(number, i, i + limbLen, base);\n\n this.imuln(limbPow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n\n if (mod !== 0) {\n var pow = 1;\n word = parseBase(number, i, number.length, base);\n\n for (i = 0; i < mod; i++) {\n pow *= base;\n }\n\n this.imuln(pow);\n if (this.words[0] + word < 0x4000000) {\n this.words[0] += word;\n } else {\n this._iaddn(word);\n }\n }\n };\n\n BN.prototype.copy = function copy (dest) {\n dest.words = new Array(this.length);\n for (var i = 0; i < this.length; i++) {\n dest.words[i] = this.words[i];\n }\n dest.length = this.length;\n dest.negative = this.negative;\n dest.red = this.red;\n };\n\n BN.prototype.clone = function clone () {\n var r = new BN(null);\n this.copy(r);\n return r;\n };\n\n BN.prototype._expand = function _expand (size) {\n while (this.length < size) {\n this.words[this.length++] = 0;\n }\n return this;\n };\n\n // Remove leading `0` from `this`\n BN.prototype.strip = function strip () {\n while (this.length > 1 && this.words[this.length - 1] === 0) {\n this.length--;\n }\n return this._normSign();\n };\n\n BN.prototype._normSign = function _normSign () {\n // -0 = 0\n if (this.length === 1 && this.words[0] === 0) {\n this.negative = 0;\n }\n return this;\n };\n\n BN.prototype.inspect = function inspect () {\n return (this.red ? '';\n };\n\n /*\n\n var zeros = [];\n var groupSizes = [];\n var groupBases = [];\n\n var s = '';\n var i = -1;\n while (++i < BN.wordSize) {\n zeros[i] = s;\n s += '0';\n }\n groupSizes[0] = 0;\n groupSizes[1] = 0;\n groupBases[0] = 0;\n groupBases[1] = 0;\n var base = 2 - 1;\n while (++base < 36 + 1) {\n var groupSize = 0;\n var groupBase = 1;\n while (groupBase < (1 << BN.wordSize) / base) {\n groupBase *= base;\n groupSize += 1;\n }\n groupSizes[base] = groupSize;\n groupBases[base] = groupBase;\n }\n\n */\n\n var zeros = [\n '',\n '0',\n '00',\n '000',\n '0000',\n '00000',\n '000000',\n '0000000',\n '00000000',\n '000000000',\n '0000000000',\n '00000000000',\n '000000000000',\n '0000000000000',\n '00000000000000',\n '000000000000000',\n '0000000000000000',\n '00000000000000000',\n '000000000000000000',\n '0000000000000000000',\n '00000000000000000000',\n '000000000000000000000',\n '0000000000000000000000',\n '00000000000000000000000',\n '000000000000000000000000',\n '0000000000000000000000000'\n ];\n\n var groupSizes = [\n 0, 0,\n 25, 16, 12, 11, 10, 9, 8,\n 8, 7, 7, 7, 7, 6, 6,\n 6, 6, 6, 6, 6, 5, 5,\n 5, 5, 5, 5, 5, 5, 5,\n 5, 5, 5, 5, 5, 5, 5\n ];\n\n var groupBases = [\n 0, 0,\n 33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,\n 43046721, 10000000, 19487171, 35831808, 62748517, 7529536, 11390625,\n 16777216, 24137569, 34012224, 47045881, 64000000, 4084101, 5153632,\n 6436343, 7962624, 9765625, 11881376, 14348907, 17210368, 20511149,\n 24300000, 28629151, 33554432, 39135393, 45435424, 52521875, 60466176\n ];\n\n BN.prototype.toString = function toString (base, padding) {\n base = base || 10;\n padding = padding | 0 || 1;\n\n var out;\n if (base === 16 || base === 'hex') {\n out = '';\n var off = 0;\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = this.words[i];\n var word = (((w << off) | carry) & 0xffffff).toString(16);\n carry = (w >>> (24 - off)) & 0xffffff;\n if (carry !== 0 || i !== this.length - 1) {\n out = zeros[6 - word.length] + word + out;\n } else {\n out = word + out;\n }\n off += 2;\n if (off >= 26) {\n off -= 26;\n i--;\n }\n }\n if (carry !== 0) {\n out = carry.toString(16) + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n if (base === (base | 0) && base >= 2 && base <= 36) {\n // var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));\n var groupSize = groupSizes[base];\n // var groupBase = Math.pow(base, groupSize);\n var groupBase = groupBases[base];\n out = '';\n var c = this.clone();\n c.negative = 0;\n while (!c.isZero()) {\n var r = c.modn(groupBase).toString(base);\n c = c.idivn(groupBase);\n\n if (!c.isZero()) {\n out = zeros[groupSize - r.length] + r + out;\n } else {\n out = r + out;\n }\n }\n if (this.isZero()) {\n out = '0' + out;\n }\n while (out.length % padding !== 0) {\n out = '0' + out;\n }\n if (this.negative !== 0) {\n out = '-' + out;\n }\n return out;\n }\n\n assert(false, 'Base should be between 2 and 36');\n };\n\n BN.prototype.toNumber = function toNumber () {\n var ret = this.words[0];\n if (this.length === 2) {\n ret += this.words[1] * 0x4000000;\n } else if (this.length === 3 && this.words[2] === 0x01) {\n // NOTE: at this stage it is known that the top bit is set\n ret += 0x10000000000000 + (this.words[1] * 0x4000000);\n } else if (this.length > 2) {\n assert(false, 'Number can only safely store up to 53 bits');\n }\n return (this.negative !== 0) ? -ret : ret;\n };\n\n BN.prototype.toJSON = function toJSON () {\n return this.toString(16);\n };\n\n BN.prototype.toBuffer = function toBuffer (endian, length) {\n assert(typeof Buffer !== 'undefined');\n return this.toArrayLike(Buffer, endian, length);\n };\n\n BN.prototype.toArray = function toArray (endian, length) {\n return this.toArrayLike(Array, endian, length);\n };\n\n BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {\n var byteLength = this.byteLength();\n var reqLength = length || Math.max(1, byteLength);\n assert(byteLength <= reqLength, 'byte array longer than desired length');\n assert(reqLength > 0, 'Requested array length <= 0');\n\n this.strip();\n var littleEndian = endian === 'le';\n var res = new ArrayType(reqLength);\n\n var b, i;\n var q = this.clone();\n if (!littleEndian) {\n // Assume big-endian\n for (i = 0; i < reqLength - byteLength; i++) {\n res[i] = 0;\n }\n\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[reqLength - i - 1] = b;\n }\n } else {\n for (i = 0; !q.isZero(); i++) {\n b = q.andln(0xff);\n q.iushrn(8);\n\n res[i] = b;\n }\n\n for (; i < reqLength; i++) {\n res[i] = 0;\n }\n }\n\n return res;\n };\n\n if (Math.clz32) {\n BN.prototype._countBits = function _countBits (w) {\n return 32 - Math.clz32(w);\n };\n } else {\n BN.prototype._countBits = function _countBits (w) {\n var t = w;\n var r = 0;\n if (t >= 0x1000) {\n r += 13;\n t >>>= 13;\n }\n if (t >= 0x40) {\n r += 7;\n t >>>= 7;\n }\n if (t >= 0x8) {\n r += 4;\n t >>>= 4;\n }\n if (t >= 0x02) {\n r += 2;\n t >>>= 2;\n }\n return r + t;\n };\n }\n\n BN.prototype._zeroBits = function _zeroBits (w) {\n // Short-cut\n if (w === 0) return 26;\n\n var t = w;\n var r = 0;\n if ((t & 0x1fff) === 0) {\n r += 13;\n t >>>= 13;\n }\n if ((t & 0x7f) === 0) {\n r += 7;\n t >>>= 7;\n }\n if ((t & 0xf) === 0) {\n r += 4;\n t >>>= 4;\n }\n if ((t & 0x3) === 0) {\n r += 2;\n t >>>= 2;\n }\n if ((t & 0x1) === 0) {\n r++;\n }\n return r;\n };\n\n // Return number of used bits in a BN\n BN.prototype.bitLength = function bitLength () {\n var w = this.words[this.length - 1];\n var hi = this._countBits(w);\n return (this.length - 1) * 26 + hi;\n };\n\n function toBitArray (num) {\n var w = new Array(num.bitLength());\n\n for (var bit = 0; bit < w.length; bit++) {\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;\n }\n\n return w;\n }\n\n // Number of trailing zero bits\n BN.prototype.zeroBits = function zeroBits () {\n if (this.isZero()) return 0;\n\n var r = 0;\n for (var i = 0; i < this.length; i++) {\n var b = this._zeroBits(this.words[i]);\n r += b;\n if (b !== 26) break;\n }\n return r;\n };\n\n BN.prototype.byteLength = function byteLength () {\n return Math.ceil(this.bitLength() / 8);\n };\n\n BN.prototype.toTwos = function toTwos (width) {\n if (this.negative !== 0) {\n return this.abs().inotn(width).iaddn(1);\n }\n return this.clone();\n };\n\n BN.prototype.fromTwos = function fromTwos (width) {\n if (this.testn(width - 1)) {\n return this.notn(width).iaddn(1).ineg();\n }\n return this.clone();\n };\n\n BN.prototype.isNeg = function isNeg () {\n return this.negative !== 0;\n };\n\n // Return negative clone of `this`\n BN.prototype.neg = function neg () {\n return this.clone().ineg();\n };\n\n BN.prototype.ineg = function ineg () {\n if (!this.isZero()) {\n this.negative ^= 1;\n }\n\n return this;\n };\n\n // Or `num` with `this` in-place\n BN.prototype.iuor = function iuor (num) {\n while (this.length < num.length) {\n this.words[this.length++] = 0;\n }\n\n for (var i = 0; i < num.length; i++) {\n this.words[i] = this.words[i] | num.words[i];\n }\n\n return this.strip();\n };\n\n BN.prototype.ior = function ior (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuor(num);\n };\n\n // Or `num` with `this`\n BN.prototype.or = function or (num) {\n if (this.length > num.length) return this.clone().ior(num);\n return num.clone().ior(this);\n };\n\n BN.prototype.uor = function uor (num) {\n if (this.length > num.length) return this.clone().iuor(num);\n return num.clone().iuor(this);\n };\n\n // And `num` with `this` in-place\n BN.prototype.iuand = function iuand (num) {\n // b = min-length(num, this)\n var b;\n if (this.length > num.length) {\n b = num;\n } else {\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = this.words[i] & num.words[i];\n }\n\n this.length = b.length;\n\n return this.strip();\n };\n\n BN.prototype.iand = function iand (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuand(num);\n };\n\n // And `num` with `this`\n BN.prototype.and = function and (num) {\n if (this.length > num.length) return this.clone().iand(num);\n return num.clone().iand(this);\n };\n\n BN.prototype.uand = function uand (num) {\n if (this.length > num.length) return this.clone().iuand(num);\n return num.clone().iuand(this);\n };\n\n // Xor `num` with `this` in-place\n BN.prototype.iuxor = function iuxor (num) {\n // a.length > b.length\n var a;\n var b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n for (var i = 0; i < b.length; i++) {\n this.words[i] = a.words[i] ^ b.words[i];\n }\n\n if (this !== a) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = a.length;\n\n return this.strip();\n };\n\n BN.prototype.ixor = function ixor (num) {\n assert((this.negative | num.negative) === 0);\n return this.iuxor(num);\n };\n\n // Xor `num` with `this`\n BN.prototype.xor = function xor (num) {\n if (this.length > num.length) return this.clone().ixor(num);\n return num.clone().ixor(this);\n };\n\n BN.prototype.uxor = function uxor (num) {\n if (this.length > num.length) return this.clone().iuxor(num);\n return num.clone().iuxor(this);\n };\n\n // Not ``this`` with ``width`` bitwidth\n BN.prototype.inotn = function inotn (width) {\n assert(typeof width === 'number' && width >= 0);\n\n var bytesNeeded = Math.ceil(width / 26) | 0;\n var bitsLeft = width % 26;\n\n // Extend the buffer with leading zeroes\n this._expand(bytesNeeded);\n\n if (bitsLeft > 0) {\n bytesNeeded--;\n }\n\n // Handle complete words\n for (var i = 0; i < bytesNeeded; i++) {\n this.words[i] = ~this.words[i] & 0x3ffffff;\n }\n\n // Handle the residue\n if (bitsLeft > 0) {\n this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));\n }\n\n // And remove leading zeroes\n return this.strip();\n };\n\n BN.prototype.notn = function notn (width) {\n return this.clone().inotn(width);\n };\n\n // Set `bit` of `this`\n BN.prototype.setn = function setn (bit, val) {\n assert(typeof bit === 'number' && bit >= 0);\n\n var off = (bit / 26) | 0;\n var wbit = bit % 26;\n\n this._expand(off + 1);\n\n if (val) {\n this.words[off] = this.words[off] | (1 << wbit);\n } else {\n this.words[off] = this.words[off] & ~(1 << wbit);\n }\n\n return this.strip();\n };\n\n // Add `num` to `this` in-place\n BN.prototype.iadd = function iadd (num) {\n var r;\n\n // negative + positive\n if (this.negative !== 0 && num.negative === 0) {\n this.negative = 0;\n r = this.isub(num);\n this.negative ^= 1;\n return this._normSign();\n\n // positive + negative\n } else if (this.negative === 0 && num.negative !== 0) {\n num.negative = 0;\n r = this.isub(num);\n num.negative = 1;\n return r._normSign();\n }\n\n // a.length > b.length\n var a, b;\n if (this.length > num.length) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) + (b.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n this.words[i] = r & 0x3ffffff;\n carry = r >>> 26;\n }\n\n this.length = a.length;\n if (carry !== 0) {\n this.words[this.length] = carry;\n this.length++;\n // Copy the rest of the words\n } else if (a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n return this;\n };\n\n // Add `num` to `this`\n BN.prototype.add = function add (num) {\n var res;\n if (num.negative !== 0 && this.negative === 0) {\n num.negative = 0;\n res = this.sub(num);\n num.negative ^= 1;\n return res;\n } else if (num.negative === 0 && this.negative !== 0) {\n this.negative = 0;\n res = num.sub(this);\n this.negative = 1;\n return res;\n }\n\n if (this.length > num.length) return this.clone().iadd(num);\n\n return num.clone().iadd(this);\n };\n\n // Subtract `num` from `this` in-place\n BN.prototype.isub = function isub (num) {\n // this - (-num) = this + num\n if (num.negative !== 0) {\n num.negative = 0;\n var r = this.iadd(num);\n num.negative = 1;\n return r._normSign();\n\n // -this - num = -(this + num)\n } else if (this.negative !== 0) {\n this.negative = 0;\n this.iadd(num);\n this.negative = 1;\n return this._normSign();\n }\n\n // At this point both numbers are positive\n var cmp = this.cmp(num);\n\n // Optimization - zeroify\n if (cmp === 0) {\n this.negative = 0;\n this.length = 1;\n this.words[0] = 0;\n return this;\n }\n\n // a > b\n var a, b;\n if (cmp > 0) {\n a = this;\n b = num;\n } else {\n a = num;\n b = this;\n }\n\n var carry = 0;\n for (var i = 0; i < b.length; i++) {\n r = (a.words[i] | 0) - (b.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n for (; carry !== 0 && i < a.length; i++) {\n r = (a.words[i] | 0) + carry;\n carry = r >> 26;\n this.words[i] = r & 0x3ffffff;\n }\n\n // Copy rest of the words\n if (carry === 0 && i < a.length && a !== this) {\n for (; i < a.length; i++) {\n this.words[i] = a.words[i];\n }\n }\n\n this.length = Math.max(this.length, i);\n\n if (a !== this) {\n this.negative = 1;\n }\n\n return this.strip();\n };\n\n // Subtract `num` from `this`\n BN.prototype.sub = function sub (num) {\n return this.clone().isub(num);\n };\n\n function smallMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n var len = (self.length + num.length) | 0;\n out.length = len;\n len = (len - 1) | 0;\n\n // Peel one iteration (compiler can't do it, because of code complexity)\n var a = self.words[0] | 0;\n var b = num.words[0] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n var carry = (r / 0x4000000) | 0;\n out.words[0] = lo;\n\n for (var k = 1; k < len; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = carry >>> 26;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = (k - j) | 0;\n a = self.words[i] | 0;\n b = num.words[j] | 0;\n r = a * b + rword;\n ncarry += (r / 0x4000000) | 0;\n rword = r & 0x3ffffff;\n }\n out.words[k] = rword | 0;\n carry = ncarry | 0;\n }\n if (carry !== 0) {\n out.words[k] = carry | 0;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n // TODO(indutny): it may be reasonable to omit it for users who don't need\n // to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit\n // multiplication (like elliptic secp256k1).\n var comb10MulTo = function comb10MulTo (self, num, out) {\n var a = self.words;\n var b = num.words;\n var o = out.words;\n var c = 0;\n var lo;\n var mid;\n var hi;\n var a0 = a[0] | 0;\n var al0 = a0 & 0x1fff;\n var ah0 = a0 >>> 13;\n var a1 = a[1] | 0;\n var al1 = a1 & 0x1fff;\n var ah1 = a1 >>> 13;\n var a2 = a[2] | 0;\n var al2 = a2 & 0x1fff;\n var ah2 = a2 >>> 13;\n var a3 = a[3] | 0;\n var al3 = a3 & 0x1fff;\n var ah3 = a3 >>> 13;\n var a4 = a[4] | 0;\n var al4 = a4 & 0x1fff;\n var ah4 = a4 >>> 13;\n var a5 = a[5] | 0;\n var al5 = a5 & 0x1fff;\n var ah5 = a5 >>> 13;\n var a6 = a[6] | 0;\n var al6 = a6 & 0x1fff;\n var ah6 = a6 >>> 13;\n var a7 = a[7] | 0;\n var al7 = a7 & 0x1fff;\n var ah7 = a7 >>> 13;\n var a8 = a[8] | 0;\n var al8 = a8 & 0x1fff;\n var ah8 = a8 >>> 13;\n var a9 = a[9] | 0;\n var al9 = a9 & 0x1fff;\n var ah9 = a9 >>> 13;\n var b0 = b[0] | 0;\n var bl0 = b0 & 0x1fff;\n var bh0 = b0 >>> 13;\n var b1 = b[1] | 0;\n var bl1 = b1 & 0x1fff;\n var bh1 = b1 >>> 13;\n var b2 = b[2] | 0;\n var bl2 = b2 & 0x1fff;\n var bh2 = b2 >>> 13;\n var b3 = b[3] | 0;\n var bl3 = b3 & 0x1fff;\n var bh3 = b3 >>> 13;\n var b4 = b[4] | 0;\n var bl4 = b4 & 0x1fff;\n var bh4 = b4 >>> 13;\n var b5 = b[5] | 0;\n var bl5 = b5 & 0x1fff;\n var bh5 = b5 >>> 13;\n var b6 = b[6] | 0;\n var bl6 = b6 & 0x1fff;\n var bh6 = b6 >>> 13;\n var b7 = b[7] | 0;\n var bl7 = b7 & 0x1fff;\n var bh7 = b7 >>> 13;\n var b8 = b[8] | 0;\n var bl8 = b8 & 0x1fff;\n var bh8 = b8 >>> 13;\n var b9 = b[9] | 0;\n var bl9 = b9 & 0x1fff;\n var bh9 = b9 >>> 13;\n\n out.negative = self.negative ^ num.negative;\n out.length = 19;\n /* k = 0 */\n lo = Math.imul(al0, bl0);\n mid = Math.imul(al0, bh0);\n mid = (mid + Math.imul(ah0, bl0)) | 0;\n hi = Math.imul(ah0, bh0);\n var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;\n w0 &= 0x3ffffff;\n /* k = 1 */\n lo = Math.imul(al1, bl0);\n mid = Math.imul(al1, bh0);\n mid = (mid + Math.imul(ah1, bl0)) | 0;\n hi = Math.imul(ah1, bh0);\n lo = (lo + Math.imul(al0, bl1)) | 0;\n mid = (mid + Math.imul(al0, bh1)) | 0;\n mid = (mid + Math.imul(ah0, bl1)) | 0;\n hi = (hi + Math.imul(ah0, bh1)) | 0;\n var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;\n w1 &= 0x3ffffff;\n /* k = 2 */\n lo = Math.imul(al2, bl0);\n mid = Math.imul(al2, bh0);\n mid = (mid + Math.imul(ah2, bl0)) | 0;\n hi = Math.imul(ah2, bh0);\n lo = (lo + Math.imul(al1, bl1)) | 0;\n mid = (mid + Math.imul(al1, bh1)) | 0;\n mid = (mid + Math.imul(ah1, bl1)) | 0;\n hi = (hi + Math.imul(ah1, bh1)) | 0;\n lo = (lo + Math.imul(al0, bl2)) | 0;\n mid = (mid + Math.imul(al0, bh2)) | 0;\n mid = (mid + Math.imul(ah0, bl2)) | 0;\n hi = (hi + Math.imul(ah0, bh2)) | 0;\n var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;\n w2 &= 0x3ffffff;\n /* k = 3 */\n lo = Math.imul(al3, bl0);\n mid = Math.imul(al3, bh0);\n mid = (mid + Math.imul(ah3, bl0)) | 0;\n hi = Math.imul(ah3, bh0);\n lo = (lo + Math.imul(al2, bl1)) | 0;\n mid = (mid + Math.imul(al2, bh1)) | 0;\n mid = (mid + Math.imul(ah2, bl1)) | 0;\n hi = (hi + Math.imul(ah2, bh1)) | 0;\n lo = (lo + Math.imul(al1, bl2)) | 0;\n mid = (mid + Math.imul(al1, bh2)) | 0;\n mid = (mid + Math.imul(ah1, bl2)) | 0;\n hi = (hi + Math.imul(ah1, bh2)) | 0;\n lo = (lo + Math.imul(al0, bl3)) | 0;\n mid = (mid + Math.imul(al0, bh3)) | 0;\n mid = (mid + Math.imul(ah0, bl3)) | 0;\n hi = (hi + Math.imul(ah0, bh3)) | 0;\n var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;\n w3 &= 0x3ffffff;\n /* k = 4 */\n lo = Math.imul(al4, bl0);\n mid = Math.imul(al4, bh0);\n mid = (mid + Math.imul(ah4, bl0)) | 0;\n hi = Math.imul(ah4, bh0);\n lo = (lo + Math.imul(al3, bl1)) | 0;\n mid = (mid + Math.imul(al3, bh1)) | 0;\n mid = (mid + Math.imul(ah3, bl1)) | 0;\n hi = (hi + Math.imul(ah3, bh1)) | 0;\n lo = (lo + Math.imul(al2, bl2)) | 0;\n mid = (mid + Math.imul(al2, bh2)) | 0;\n mid = (mid + Math.imul(ah2, bl2)) | 0;\n hi = (hi + Math.imul(ah2, bh2)) | 0;\n lo = (lo + Math.imul(al1, bl3)) | 0;\n mid = (mid + Math.imul(al1, bh3)) | 0;\n mid = (mid + Math.imul(ah1, bl3)) | 0;\n hi = (hi + Math.imul(ah1, bh3)) | 0;\n lo = (lo + Math.imul(al0, bl4)) | 0;\n mid = (mid + Math.imul(al0, bh4)) | 0;\n mid = (mid + Math.imul(ah0, bl4)) | 0;\n hi = (hi + Math.imul(ah0, bh4)) | 0;\n var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;\n w4 &= 0x3ffffff;\n /* k = 5 */\n lo = Math.imul(al5, bl0);\n mid = Math.imul(al5, bh0);\n mid = (mid + Math.imul(ah5, bl0)) | 0;\n hi = Math.imul(ah5, bh0);\n lo = (lo + Math.imul(al4, bl1)) | 0;\n mid = (mid + Math.imul(al4, bh1)) | 0;\n mid = (mid + Math.imul(ah4, bl1)) | 0;\n hi = (hi + Math.imul(ah4, bh1)) | 0;\n lo = (lo + Math.imul(al3, bl2)) | 0;\n mid = (mid + Math.imul(al3, bh2)) | 0;\n mid = (mid + Math.imul(ah3, bl2)) | 0;\n hi = (hi + Math.imul(ah3, bh2)) | 0;\n lo = (lo + Math.imul(al2, bl3)) | 0;\n mid = (mid + Math.imul(al2, bh3)) | 0;\n mid = (mid + Math.imul(ah2, bl3)) | 0;\n hi = (hi + Math.imul(ah2, bh3)) | 0;\n lo = (lo + Math.imul(al1, bl4)) | 0;\n mid = (mid + Math.imul(al1, bh4)) | 0;\n mid = (mid + Math.imul(ah1, bl4)) | 0;\n hi = (hi + Math.imul(ah1, bh4)) | 0;\n lo = (lo + Math.imul(al0, bl5)) | 0;\n mid = (mid + Math.imul(al0, bh5)) | 0;\n mid = (mid + Math.imul(ah0, bl5)) | 0;\n hi = (hi + Math.imul(ah0, bh5)) | 0;\n var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;\n w5 &= 0x3ffffff;\n /* k = 6 */\n lo = Math.imul(al6, bl0);\n mid = Math.imul(al6, bh0);\n mid = (mid + Math.imul(ah6, bl0)) | 0;\n hi = Math.imul(ah6, bh0);\n lo = (lo + Math.imul(al5, bl1)) | 0;\n mid = (mid + Math.imul(al5, bh1)) | 0;\n mid = (mid + Math.imul(ah5, bl1)) | 0;\n hi = (hi + Math.imul(ah5, bh1)) | 0;\n lo = (lo + Math.imul(al4, bl2)) | 0;\n mid = (mid + Math.imul(al4, bh2)) | 0;\n mid = (mid + Math.imul(ah4, bl2)) | 0;\n hi = (hi + Math.imul(ah4, bh2)) | 0;\n lo = (lo + Math.imul(al3, bl3)) | 0;\n mid = (mid + Math.imul(al3, bh3)) | 0;\n mid = (mid + Math.imul(ah3, bl3)) | 0;\n hi = (hi + Math.imul(ah3, bh3)) | 0;\n lo = (lo + Math.imul(al2, bl4)) | 0;\n mid = (mid + Math.imul(al2, bh4)) | 0;\n mid = (mid + Math.imul(ah2, bl4)) | 0;\n hi = (hi + Math.imul(ah2, bh4)) | 0;\n lo = (lo + Math.imul(al1, bl5)) | 0;\n mid = (mid + Math.imul(al1, bh5)) | 0;\n mid = (mid + Math.imul(ah1, bl5)) | 0;\n hi = (hi + Math.imul(ah1, bh5)) | 0;\n lo = (lo + Math.imul(al0, bl6)) | 0;\n mid = (mid + Math.imul(al0, bh6)) | 0;\n mid = (mid + Math.imul(ah0, bl6)) | 0;\n hi = (hi + Math.imul(ah0, bh6)) | 0;\n var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;\n w6 &= 0x3ffffff;\n /* k = 7 */\n lo = Math.imul(al7, bl0);\n mid = Math.imul(al7, bh0);\n mid = (mid + Math.imul(ah7, bl0)) | 0;\n hi = Math.imul(ah7, bh0);\n lo = (lo + Math.imul(al6, bl1)) | 0;\n mid = (mid + Math.imul(al6, bh1)) | 0;\n mid = (mid + Math.imul(ah6, bl1)) | 0;\n hi = (hi + Math.imul(ah6, bh1)) | 0;\n lo = (lo + Math.imul(al5, bl2)) | 0;\n mid = (mid + Math.imul(al5, bh2)) | 0;\n mid = (mid + Math.imul(ah5, bl2)) | 0;\n hi = (hi + Math.imul(ah5, bh2)) | 0;\n lo = (lo + Math.imul(al4, bl3)) | 0;\n mid = (mid + Math.imul(al4, bh3)) | 0;\n mid = (mid + Math.imul(ah4, bl3)) | 0;\n hi = (hi + Math.imul(ah4, bh3)) | 0;\n lo = (lo + Math.imul(al3, bl4)) | 0;\n mid = (mid + Math.imul(al3, bh4)) | 0;\n mid = (mid + Math.imul(ah3, bl4)) | 0;\n hi = (hi + Math.imul(ah3, bh4)) | 0;\n lo = (lo + Math.imul(al2, bl5)) | 0;\n mid = (mid + Math.imul(al2, bh5)) | 0;\n mid = (mid + Math.imul(ah2, bl5)) | 0;\n hi = (hi + Math.imul(ah2, bh5)) | 0;\n lo = (lo + Math.imul(al1, bl6)) | 0;\n mid = (mid + Math.imul(al1, bh6)) | 0;\n mid = (mid + Math.imul(ah1, bl6)) | 0;\n hi = (hi + Math.imul(ah1, bh6)) | 0;\n lo = (lo + Math.imul(al0, bl7)) | 0;\n mid = (mid + Math.imul(al0, bh7)) | 0;\n mid = (mid + Math.imul(ah0, bl7)) | 0;\n hi = (hi + Math.imul(ah0, bh7)) | 0;\n var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;\n w7 &= 0x3ffffff;\n /* k = 8 */\n lo = Math.imul(al8, bl0);\n mid = Math.imul(al8, bh0);\n mid = (mid + Math.imul(ah8, bl0)) | 0;\n hi = Math.imul(ah8, bh0);\n lo = (lo + Math.imul(al7, bl1)) | 0;\n mid = (mid + Math.imul(al7, bh1)) | 0;\n mid = (mid + Math.imul(ah7, bl1)) | 0;\n hi = (hi + Math.imul(ah7, bh1)) | 0;\n lo = (lo + Math.imul(al6, bl2)) | 0;\n mid = (mid + Math.imul(al6, bh2)) | 0;\n mid = (mid + Math.imul(ah6, bl2)) | 0;\n hi = (hi + Math.imul(ah6, bh2)) | 0;\n lo = (lo + Math.imul(al5, bl3)) | 0;\n mid = (mid + Math.imul(al5, bh3)) | 0;\n mid = (mid + Math.imul(ah5, bl3)) | 0;\n hi = (hi + Math.imul(ah5, bh3)) | 0;\n lo = (lo + Math.imul(al4, bl4)) | 0;\n mid = (mid + Math.imul(al4, bh4)) | 0;\n mid = (mid + Math.imul(ah4, bl4)) | 0;\n hi = (hi + Math.imul(ah4, bh4)) | 0;\n lo = (lo + Math.imul(al3, bl5)) | 0;\n mid = (mid + Math.imul(al3, bh5)) | 0;\n mid = (mid + Math.imul(ah3, bl5)) | 0;\n hi = (hi + Math.imul(ah3, bh5)) | 0;\n lo = (lo + Math.imul(al2, bl6)) | 0;\n mid = (mid + Math.imul(al2, bh6)) | 0;\n mid = (mid + Math.imul(ah2, bl6)) | 0;\n hi = (hi + Math.imul(ah2, bh6)) | 0;\n lo = (lo + Math.imul(al1, bl7)) | 0;\n mid = (mid + Math.imul(al1, bh7)) | 0;\n mid = (mid + Math.imul(ah1, bl7)) | 0;\n hi = (hi + Math.imul(ah1, bh7)) | 0;\n lo = (lo + Math.imul(al0, bl8)) | 0;\n mid = (mid + Math.imul(al0, bh8)) | 0;\n mid = (mid + Math.imul(ah0, bl8)) | 0;\n hi = (hi + Math.imul(ah0, bh8)) | 0;\n var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;\n w8 &= 0x3ffffff;\n /* k = 9 */\n lo = Math.imul(al9, bl0);\n mid = Math.imul(al9, bh0);\n mid = (mid + Math.imul(ah9, bl0)) | 0;\n hi = Math.imul(ah9, bh0);\n lo = (lo + Math.imul(al8, bl1)) | 0;\n mid = (mid + Math.imul(al8, bh1)) | 0;\n mid = (mid + Math.imul(ah8, bl1)) | 0;\n hi = (hi + Math.imul(ah8, bh1)) | 0;\n lo = (lo + Math.imul(al7, bl2)) | 0;\n mid = (mid + Math.imul(al7, bh2)) | 0;\n mid = (mid + Math.imul(ah7, bl2)) | 0;\n hi = (hi + Math.imul(ah7, bh2)) | 0;\n lo = (lo + Math.imul(al6, bl3)) | 0;\n mid = (mid + Math.imul(al6, bh3)) | 0;\n mid = (mid + Math.imul(ah6, bl3)) | 0;\n hi = (hi + Math.imul(ah6, bh3)) | 0;\n lo = (lo + Math.imul(al5, bl4)) | 0;\n mid = (mid + Math.imul(al5, bh4)) | 0;\n mid = (mid + Math.imul(ah5, bl4)) | 0;\n hi = (hi + Math.imul(ah5, bh4)) | 0;\n lo = (lo + Math.imul(al4, bl5)) | 0;\n mid = (mid + Math.imul(al4, bh5)) | 0;\n mid = (mid + Math.imul(ah4, bl5)) | 0;\n hi = (hi + Math.imul(ah4, bh5)) | 0;\n lo = (lo + Math.imul(al3, bl6)) | 0;\n mid = (mid + Math.imul(al3, bh6)) | 0;\n mid = (mid + Math.imul(ah3, bl6)) | 0;\n hi = (hi + Math.imul(ah3, bh6)) | 0;\n lo = (lo + Math.imul(al2, bl7)) | 0;\n mid = (mid + Math.imul(al2, bh7)) | 0;\n mid = (mid + Math.imul(ah2, bl7)) | 0;\n hi = (hi + Math.imul(ah2, bh7)) | 0;\n lo = (lo + Math.imul(al1, bl8)) | 0;\n mid = (mid + Math.imul(al1, bh8)) | 0;\n mid = (mid + Math.imul(ah1, bl8)) | 0;\n hi = (hi + Math.imul(ah1, bh8)) | 0;\n lo = (lo + Math.imul(al0, bl9)) | 0;\n mid = (mid + Math.imul(al0, bh9)) | 0;\n mid = (mid + Math.imul(ah0, bl9)) | 0;\n hi = (hi + Math.imul(ah0, bh9)) | 0;\n var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;\n w9 &= 0x3ffffff;\n /* k = 10 */\n lo = Math.imul(al9, bl1);\n mid = Math.imul(al9, bh1);\n mid = (mid + Math.imul(ah9, bl1)) | 0;\n hi = Math.imul(ah9, bh1);\n lo = (lo + Math.imul(al8, bl2)) | 0;\n mid = (mid + Math.imul(al8, bh2)) | 0;\n mid = (mid + Math.imul(ah8, bl2)) | 0;\n hi = (hi + Math.imul(ah8, bh2)) | 0;\n lo = (lo + Math.imul(al7, bl3)) | 0;\n mid = (mid + Math.imul(al7, bh3)) | 0;\n mid = (mid + Math.imul(ah7, bl3)) | 0;\n hi = (hi + Math.imul(ah7, bh3)) | 0;\n lo = (lo + Math.imul(al6, bl4)) | 0;\n mid = (mid + Math.imul(al6, bh4)) | 0;\n mid = (mid + Math.imul(ah6, bl4)) | 0;\n hi = (hi + Math.imul(ah6, bh4)) | 0;\n lo = (lo + Math.imul(al5, bl5)) | 0;\n mid = (mid + Math.imul(al5, bh5)) | 0;\n mid = (mid + Math.imul(ah5, bl5)) | 0;\n hi = (hi + Math.imul(ah5, bh5)) | 0;\n lo = (lo + Math.imul(al4, bl6)) | 0;\n mid = (mid + Math.imul(al4, bh6)) | 0;\n mid = (mid + Math.imul(ah4, bl6)) | 0;\n hi = (hi + Math.imul(ah4, bh6)) | 0;\n lo = (lo + Math.imul(al3, bl7)) | 0;\n mid = (mid + Math.imul(al3, bh7)) | 0;\n mid = (mid + Math.imul(ah3, bl7)) | 0;\n hi = (hi + Math.imul(ah3, bh7)) | 0;\n lo = (lo + Math.imul(al2, bl8)) | 0;\n mid = (mid + Math.imul(al2, bh8)) | 0;\n mid = (mid + Math.imul(ah2, bl8)) | 0;\n hi = (hi + Math.imul(ah2, bh8)) | 0;\n lo = (lo + Math.imul(al1, bl9)) | 0;\n mid = (mid + Math.imul(al1, bh9)) | 0;\n mid = (mid + Math.imul(ah1, bl9)) | 0;\n hi = (hi + Math.imul(ah1, bh9)) | 0;\n var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;\n w10 &= 0x3ffffff;\n /* k = 11 */\n lo = Math.imul(al9, bl2);\n mid = Math.imul(al9, bh2);\n mid = (mid + Math.imul(ah9, bl2)) | 0;\n hi = Math.imul(ah9, bh2);\n lo = (lo + Math.imul(al8, bl3)) | 0;\n mid = (mid + Math.imul(al8, bh3)) | 0;\n mid = (mid + Math.imul(ah8, bl3)) | 0;\n hi = (hi + Math.imul(ah8, bh3)) | 0;\n lo = (lo + Math.imul(al7, bl4)) | 0;\n mid = (mid + Math.imul(al7, bh4)) | 0;\n mid = (mid + Math.imul(ah7, bl4)) | 0;\n hi = (hi + Math.imul(ah7, bh4)) | 0;\n lo = (lo + Math.imul(al6, bl5)) | 0;\n mid = (mid + Math.imul(al6, bh5)) | 0;\n mid = (mid + Math.imul(ah6, bl5)) | 0;\n hi = (hi + Math.imul(ah6, bh5)) | 0;\n lo = (lo + Math.imul(al5, bl6)) | 0;\n mid = (mid + Math.imul(al5, bh6)) | 0;\n mid = (mid + Math.imul(ah5, bl6)) | 0;\n hi = (hi + Math.imul(ah5, bh6)) | 0;\n lo = (lo + Math.imul(al4, bl7)) | 0;\n mid = (mid + Math.imul(al4, bh7)) | 0;\n mid = (mid + Math.imul(ah4, bl7)) | 0;\n hi = (hi + Math.imul(ah4, bh7)) | 0;\n lo = (lo + Math.imul(al3, bl8)) | 0;\n mid = (mid + Math.imul(al3, bh8)) | 0;\n mid = (mid + Math.imul(ah3, bl8)) | 0;\n hi = (hi + Math.imul(ah3, bh8)) | 0;\n lo = (lo + Math.imul(al2, bl9)) | 0;\n mid = (mid + Math.imul(al2, bh9)) | 0;\n mid = (mid + Math.imul(ah2, bl9)) | 0;\n hi = (hi + Math.imul(ah2, bh9)) | 0;\n var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;\n w11 &= 0x3ffffff;\n /* k = 12 */\n lo = Math.imul(al9, bl3);\n mid = Math.imul(al9, bh3);\n mid = (mid + Math.imul(ah9, bl3)) | 0;\n hi = Math.imul(ah9, bh3);\n lo = (lo + Math.imul(al8, bl4)) | 0;\n mid = (mid + Math.imul(al8, bh4)) | 0;\n mid = (mid + Math.imul(ah8, bl4)) | 0;\n hi = (hi + Math.imul(ah8, bh4)) | 0;\n lo = (lo + Math.imul(al7, bl5)) | 0;\n mid = (mid + Math.imul(al7, bh5)) | 0;\n mid = (mid + Math.imul(ah7, bl5)) | 0;\n hi = (hi + Math.imul(ah7, bh5)) | 0;\n lo = (lo + Math.imul(al6, bl6)) | 0;\n mid = (mid + Math.imul(al6, bh6)) | 0;\n mid = (mid + Math.imul(ah6, bl6)) | 0;\n hi = (hi + Math.imul(ah6, bh6)) | 0;\n lo = (lo + Math.imul(al5, bl7)) | 0;\n mid = (mid + Math.imul(al5, bh7)) | 0;\n mid = (mid + Math.imul(ah5, bl7)) | 0;\n hi = (hi + Math.imul(ah5, bh7)) | 0;\n lo = (lo + Math.imul(al4, bl8)) | 0;\n mid = (mid + Math.imul(al4, bh8)) | 0;\n mid = (mid + Math.imul(ah4, bl8)) | 0;\n hi = (hi + Math.imul(ah4, bh8)) | 0;\n lo = (lo + Math.imul(al3, bl9)) | 0;\n mid = (mid + Math.imul(al3, bh9)) | 0;\n mid = (mid + Math.imul(ah3, bl9)) | 0;\n hi = (hi + Math.imul(ah3, bh9)) | 0;\n var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;\n w12 &= 0x3ffffff;\n /* k = 13 */\n lo = Math.imul(al9, bl4);\n mid = Math.imul(al9, bh4);\n mid = (mid + Math.imul(ah9, bl4)) | 0;\n hi = Math.imul(ah9, bh4);\n lo = (lo + Math.imul(al8, bl5)) | 0;\n mid = (mid + Math.imul(al8, bh5)) | 0;\n mid = (mid + Math.imul(ah8, bl5)) | 0;\n hi = (hi + Math.imul(ah8, bh5)) | 0;\n lo = (lo + Math.imul(al7, bl6)) | 0;\n mid = (mid + Math.imul(al7, bh6)) | 0;\n mid = (mid + Math.imul(ah7, bl6)) | 0;\n hi = (hi + Math.imul(ah7, bh6)) | 0;\n lo = (lo + Math.imul(al6, bl7)) | 0;\n mid = (mid + Math.imul(al6, bh7)) | 0;\n mid = (mid + Math.imul(ah6, bl7)) | 0;\n hi = (hi + Math.imul(ah6, bh7)) | 0;\n lo = (lo + Math.imul(al5, bl8)) | 0;\n mid = (mid + Math.imul(al5, bh8)) | 0;\n mid = (mid + Math.imul(ah5, bl8)) | 0;\n hi = (hi + Math.imul(ah5, bh8)) | 0;\n lo = (lo + Math.imul(al4, bl9)) | 0;\n mid = (mid + Math.imul(al4, bh9)) | 0;\n mid = (mid + Math.imul(ah4, bl9)) | 0;\n hi = (hi + Math.imul(ah4, bh9)) | 0;\n var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;\n w13 &= 0x3ffffff;\n /* k = 14 */\n lo = Math.imul(al9, bl5);\n mid = Math.imul(al9, bh5);\n mid = (mid + Math.imul(ah9, bl5)) | 0;\n hi = Math.imul(ah9, bh5);\n lo = (lo + Math.imul(al8, bl6)) | 0;\n mid = (mid + Math.imul(al8, bh6)) | 0;\n mid = (mid + Math.imul(ah8, bl6)) | 0;\n hi = (hi + Math.imul(ah8, bh6)) | 0;\n lo = (lo + Math.imul(al7, bl7)) | 0;\n mid = (mid + Math.imul(al7, bh7)) | 0;\n mid = (mid + Math.imul(ah7, bl7)) | 0;\n hi = (hi + Math.imul(ah7, bh7)) | 0;\n lo = (lo + Math.imul(al6, bl8)) | 0;\n mid = (mid + Math.imul(al6, bh8)) | 0;\n mid = (mid + Math.imul(ah6, bl8)) | 0;\n hi = (hi + Math.imul(ah6, bh8)) | 0;\n lo = (lo + Math.imul(al5, bl9)) | 0;\n mid = (mid + Math.imul(al5, bh9)) | 0;\n mid = (mid + Math.imul(ah5, bl9)) | 0;\n hi = (hi + Math.imul(ah5, bh9)) | 0;\n var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;\n w14 &= 0x3ffffff;\n /* k = 15 */\n lo = Math.imul(al9, bl6);\n mid = Math.imul(al9, bh6);\n mid = (mid + Math.imul(ah9, bl6)) | 0;\n hi = Math.imul(ah9, bh6);\n lo = (lo + Math.imul(al8, bl7)) | 0;\n mid = (mid + Math.imul(al8, bh7)) | 0;\n mid = (mid + Math.imul(ah8, bl7)) | 0;\n hi = (hi + Math.imul(ah8, bh7)) | 0;\n lo = (lo + Math.imul(al7, bl8)) | 0;\n mid = (mid + Math.imul(al7, bh8)) | 0;\n mid = (mid + Math.imul(ah7, bl8)) | 0;\n hi = (hi + Math.imul(ah7, bh8)) | 0;\n lo = (lo + Math.imul(al6, bl9)) | 0;\n mid = (mid + Math.imul(al6, bh9)) | 0;\n mid = (mid + Math.imul(ah6, bl9)) | 0;\n hi = (hi + Math.imul(ah6, bh9)) | 0;\n var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;\n w15 &= 0x3ffffff;\n /* k = 16 */\n lo = Math.imul(al9, bl7);\n mid = Math.imul(al9, bh7);\n mid = (mid + Math.imul(ah9, bl7)) | 0;\n hi = Math.imul(ah9, bh7);\n lo = (lo + Math.imul(al8, bl8)) | 0;\n mid = (mid + Math.imul(al8, bh8)) | 0;\n mid = (mid + Math.imul(ah8, bl8)) | 0;\n hi = (hi + Math.imul(ah8, bh8)) | 0;\n lo = (lo + Math.imul(al7, bl9)) | 0;\n mid = (mid + Math.imul(al7, bh9)) | 0;\n mid = (mid + Math.imul(ah7, bl9)) | 0;\n hi = (hi + Math.imul(ah7, bh9)) | 0;\n var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;\n w16 &= 0x3ffffff;\n /* k = 17 */\n lo = Math.imul(al9, bl8);\n mid = Math.imul(al9, bh8);\n mid = (mid + Math.imul(ah9, bl8)) | 0;\n hi = Math.imul(ah9, bh8);\n lo = (lo + Math.imul(al8, bl9)) | 0;\n mid = (mid + Math.imul(al8, bh9)) | 0;\n mid = (mid + Math.imul(ah8, bl9)) | 0;\n hi = (hi + Math.imul(ah8, bh9)) | 0;\n var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;\n w17 &= 0x3ffffff;\n /* k = 18 */\n lo = Math.imul(al9, bl9);\n mid = Math.imul(al9, bh9);\n mid = (mid + Math.imul(ah9, bl9)) | 0;\n hi = Math.imul(ah9, bh9);\n var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;\n c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;\n w18 &= 0x3ffffff;\n o[0] = w0;\n o[1] = w1;\n o[2] = w2;\n o[3] = w3;\n o[4] = w4;\n o[5] = w5;\n o[6] = w6;\n o[7] = w7;\n o[8] = w8;\n o[9] = w9;\n o[10] = w10;\n o[11] = w11;\n o[12] = w12;\n o[13] = w13;\n o[14] = w14;\n o[15] = w15;\n o[16] = w16;\n o[17] = w17;\n o[18] = w18;\n if (c !== 0) {\n o[19] = c;\n out.length++;\n }\n return out;\n };\n\n // Polyfill comb\n if (!Math.imul) {\n comb10MulTo = smallMulTo;\n }\n\n function bigMulTo (self, num, out) {\n out.negative = num.negative ^ self.negative;\n out.length = self.length + num.length;\n\n var carry = 0;\n var hncarry = 0;\n for (var k = 0; k < out.length - 1; k++) {\n // Sum all words with the same `i + j = k` and accumulate `ncarry`,\n // note that ncarry could be >= 0x3ffffff\n var ncarry = hncarry;\n hncarry = 0;\n var rword = carry & 0x3ffffff;\n var maxJ = Math.min(k, num.length - 1);\n for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {\n var i = k - j;\n var a = self.words[i] | 0;\n var b = num.words[j] | 0;\n var r = a * b;\n\n var lo = r & 0x3ffffff;\n ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;\n lo = (lo + rword) | 0;\n rword = lo & 0x3ffffff;\n ncarry = (ncarry + (lo >>> 26)) | 0;\n\n hncarry += ncarry >>> 26;\n ncarry &= 0x3ffffff;\n }\n out.words[k] = rword;\n carry = ncarry;\n ncarry = hncarry;\n }\n if (carry !== 0) {\n out.words[k] = carry;\n } else {\n out.length--;\n }\n\n return out.strip();\n }\n\n function jumboMulTo (self, num, out) {\n var fftm = new FFTM();\n return fftm.mulp(self, num, out);\n }\n\n BN.prototype.mulTo = function mulTo (num, out) {\n var res;\n var len = this.length + num.length;\n if (this.length === 10 && num.length === 10) {\n res = comb10MulTo(this, num, out);\n } else if (len < 63) {\n res = smallMulTo(this, num, out);\n } else if (len < 1024) {\n res = bigMulTo(this, num, out);\n } else {\n res = jumboMulTo(this, num, out);\n }\n\n return res;\n };\n\n // Cooley-Tukey algorithm for FFT\n // slightly revisited to rely on looping instead of recursion\n\n function FFTM (x, y) {\n this.x = x;\n this.y = y;\n }\n\n FFTM.prototype.makeRBT = function makeRBT (N) {\n var t = new Array(N);\n var l = BN.prototype._countBits(N) - 1;\n for (var i = 0; i < N; i++) {\n t[i] = this.revBin(i, l, N);\n }\n\n return t;\n };\n\n // Returns binary-reversed representation of `x`\n FFTM.prototype.revBin = function revBin (x, l, N) {\n if (x === 0 || x === N - 1) return x;\n\n var rb = 0;\n for (var i = 0; i < l; i++) {\n rb |= (x & 1) << (l - i - 1);\n x >>= 1;\n }\n\n return rb;\n };\n\n // Performs \"tweedling\" phase, therefore 'emulating'\n // behaviour of the recursive algorithm\n FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {\n for (var i = 0; i < N; i++) {\n rtws[i] = rws[rbt[i]];\n itws[i] = iws[rbt[i]];\n }\n };\n\n FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {\n this.permute(rbt, rws, iws, rtws, itws, N);\n\n for (var s = 1; s < N; s <<= 1) {\n var l = s << 1;\n\n var rtwdf = Math.cos(2 * Math.PI / l);\n var itwdf = Math.sin(2 * Math.PI / l);\n\n for (var p = 0; p < N; p += l) {\n var rtwdf_ = rtwdf;\n var itwdf_ = itwdf;\n\n for (var j = 0; j < s; j++) {\n var re = rtws[p + j];\n var ie = itws[p + j];\n\n var ro = rtws[p + j + s];\n var io = itws[p + j + s];\n\n var rx = rtwdf_ * ro - itwdf_ * io;\n\n io = rtwdf_ * io + itwdf_ * ro;\n ro = rx;\n\n rtws[p + j] = re + ro;\n itws[p + j] = ie + io;\n\n rtws[p + j + s] = re - ro;\n itws[p + j + s] = ie - io;\n\n /* jshint maxdepth : false */\n if (j !== l) {\n rx = rtwdf * rtwdf_ - itwdf * itwdf_;\n\n itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;\n rtwdf_ = rx;\n }\n }\n }\n }\n };\n\n FFTM.prototype.guessLen13b = function guessLen13b (n, m) {\n var N = Math.max(m, n) | 1;\n var odd = N & 1;\n var i = 0;\n for (N = N / 2 | 0; N; N = N >>> 1) {\n i++;\n }\n\n return 1 << i + 1 + odd;\n };\n\n FFTM.prototype.conjugate = function conjugate (rws, iws, N) {\n if (N <= 1) return;\n\n for (var i = 0; i < N / 2; i++) {\n var t = rws[i];\n\n rws[i] = rws[N - i - 1];\n rws[N - i - 1] = t;\n\n t = iws[i];\n\n iws[i] = -iws[N - i - 1];\n iws[N - i - 1] = -t;\n }\n };\n\n FFTM.prototype.normalize13b = function normalize13b (ws, N) {\n var carry = 0;\n for (var i = 0; i < N / 2; i++) {\n var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +\n Math.round(ws[2 * i] / N) +\n carry;\n\n ws[i] = w & 0x3ffffff;\n\n if (w < 0x4000000) {\n carry = 0;\n } else {\n carry = w / 0x4000000 | 0;\n }\n }\n\n return ws;\n };\n\n FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {\n var carry = 0;\n for (var i = 0; i < len; i++) {\n carry = carry + (ws[i] | 0);\n\n rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;\n rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;\n }\n\n // Pad with zeroes\n for (i = 2 * len; i < N; ++i) {\n rws[i] = 0;\n }\n\n assert(carry === 0);\n assert((carry & ~0x1fff) === 0);\n };\n\n FFTM.prototype.stub = function stub (N) {\n var ph = new Array(N);\n for (var i = 0; i < N; i++) {\n ph[i] = 0;\n }\n\n return ph;\n };\n\n FFTM.prototype.mulp = function mulp (x, y, out) {\n var N = 2 * this.guessLen13b(x.length, y.length);\n\n var rbt = this.makeRBT(N);\n\n var _ = this.stub(N);\n\n var rws = new Array(N);\n var rwst = new Array(N);\n var iwst = new Array(N);\n\n var nrws = new Array(N);\n var nrwst = new Array(N);\n var niwst = new Array(N);\n\n var rmws = out.words;\n rmws.length = N;\n\n this.convert13b(x.words, x.length, rws, N);\n this.convert13b(y.words, y.length, nrws, N);\n\n this.transform(rws, _, rwst, iwst, N, rbt);\n this.transform(nrws, _, nrwst, niwst, N, rbt);\n\n for (var i = 0; i < N; i++) {\n var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];\n iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];\n rwst[i] = rx;\n }\n\n this.conjugate(rwst, iwst, N);\n this.transform(rwst, iwst, rmws, _, N, rbt);\n this.conjugate(rmws, _, N);\n this.normalize13b(rmws, N);\n\n out.negative = x.negative ^ y.negative;\n out.length = x.length + y.length;\n return out.strip();\n };\n\n // Multiply `this` by `num`\n BN.prototype.mul = function mul (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return this.mulTo(num, out);\n };\n\n // Multiply employing FFT\n BN.prototype.mulf = function mulf (num) {\n var out = new BN(null);\n out.words = new Array(this.length + num.length);\n return jumboMulTo(this, num, out);\n };\n\n // In-place Multiplication\n BN.prototype.imul = function imul (num) {\n return this.clone().mulTo(num, this);\n };\n\n BN.prototype.imuln = function imuln (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n\n // Carry\n var carry = 0;\n for (var i = 0; i < this.length; i++) {\n var w = (this.words[i] | 0) * num;\n var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);\n carry >>= 26;\n carry += (w / 0x4000000) | 0;\n // NOTE: lo is 27bit maximum\n carry += lo >>> 26;\n this.words[i] = lo & 0x3ffffff;\n }\n\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n\n return this;\n };\n\n BN.prototype.muln = function muln (num) {\n return this.clone().imuln(num);\n };\n\n // `this` * `this`\n BN.prototype.sqr = function sqr () {\n return this.mul(this);\n };\n\n // `this` * `this` in-place\n BN.prototype.isqr = function isqr () {\n return this.imul(this.clone());\n };\n\n // Math.pow(`this`, `num`)\n BN.prototype.pow = function pow (num) {\n var w = toBitArray(num);\n if (w.length === 0) return new BN(1);\n\n // Skip leading zeroes\n var res = this;\n for (var i = 0; i < w.length; i++, res = res.sqr()) {\n if (w[i] !== 0) break;\n }\n\n if (++i < w.length) {\n for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {\n if (w[i] === 0) continue;\n\n res = res.mul(q);\n }\n }\n\n return res;\n };\n\n // Shift-left in-place\n BN.prototype.iushln = function iushln (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);\n var i;\n\n if (r !== 0) {\n var carry = 0;\n\n for (i = 0; i < this.length; i++) {\n var newCarry = this.words[i] & carryMask;\n var c = ((this.words[i] | 0) - newCarry) << r;\n this.words[i] = c | carry;\n carry = newCarry >>> (26 - r);\n }\n\n if (carry) {\n this.words[i] = carry;\n this.length++;\n }\n }\n\n if (s !== 0) {\n for (i = this.length - 1; i >= 0; i--) {\n this.words[i + s] = this.words[i];\n }\n\n for (i = 0; i < s; i++) {\n this.words[i] = 0;\n }\n\n this.length += s;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishln = function ishln (bits) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushln(bits);\n };\n\n // Shift-right in-place\n // NOTE: `hint` is a lowest bit before trailing zeroes\n // NOTE: if `extended` is present - it will be filled with destroyed bits\n BN.prototype.iushrn = function iushrn (bits, hint, extended) {\n assert(typeof bits === 'number' && bits >= 0);\n var h;\n if (hint) {\n h = (hint - (hint % 26)) / 26;\n } else {\n h = 0;\n }\n\n var r = bits % 26;\n var s = Math.min((bits - r) / 26, this.length);\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n var maskedWords = extended;\n\n h -= s;\n h = Math.max(0, h);\n\n // Extended mode, copy masked part\n if (maskedWords) {\n for (var i = 0; i < s; i++) {\n maskedWords.words[i] = this.words[i];\n }\n maskedWords.length = s;\n }\n\n if (s === 0) {\n // No-op, we should not move anything at all\n } else if (this.length > s) {\n this.length -= s;\n for (i = 0; i < this.length; i++) {\n this.words[i] = this.words[i + s];\n }\n } else {\n this.words[0] = 0;\n this.length = 1;\n }\n\n var carry = 0;\n for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {\n var word = this.words[i] | 0;\n this.words[i] = (carry << (26 - r)) | (word >>> r);\n carry = word & mask;\n }\n\n // Push carried bits as a mask\n if (maskedWords && carry !== 0) {\n maskedWords.words[maskedWords.length++] = carry;\n }\n\n if (this.length === 0) {\n this.words[0] = 0;\n this.length = 1;\n }\n\n return this.strip();\n };\n\n BN.prototype.ishrn = function ishrn (bits, hint, extended) {\n // TODO(indutny): implement me\n assert(this.negative === 0);\n return this.iushrn(bits, hint, extended);\n };\n\n // Shift-left\n BN.prototype.shln = function shln (bits) {\n return this.clone().ishln(bits);\n };\n\n BN.prototype.ushln = function ushln (bits) {\n return this.clone().iushln(bits);\n };\n\n // Shift-right\n BN.prototype.shrn = function shrn (bits) {\n return this.clone().ishrn(bits);\n };\n\n BN.prototype.ushrn = function ushrn (bits) {\n return this.clone().iushrn(bits);\n };\n\n // Test if n bit is set\n BN.prototype.testn = function testn (bit) {\n assert(typeof bit === 'number' && bit >= 0);\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) return false;\n\n // Check bit and return\n var w = this.words[s];\n\n return !!(w & q);\n };\n\n // Return only lowers bits of number (in-place)\n BN.prototype.imaskn = function imaskn (bits) {\n assert(typeof bits === 'number' && bits >= 0);\n var r = bits % 26;\n var s = (bits - r) / 26;\n\n assert(this.negative === 0, 'imaskn works only with positive numbers');\n\n if (this.length <= s) {\n return this;\n }\n\n if (r !== 0) {\n s++;\n }\n this.length = Math.min(s, this.length);\n\n if (r !== 0) {\n var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);\n this.words[this.length - 1] &= mask;\n }\n\n return this.strip();\n };\n\n // Return only lowers bits of number\n BN.prototype.maskn = function maskn (bits) {\n return this.clone().imaskn(bits);\n };\n\n // Add plain number `num` to `this`\n BN.prototype.iaddn = function iaddn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.isubn(-num);\n\n // Possible sign change\n if (this.negative !== 0) {\n if (this.length === 1 && (this.words[0] | 0) < num) {\n this.words[0] = num - (this.words[0] | 0);\n this.negative = 0;\n return this;\n }\n\n this.negative = 0;\n this.isubn(num);\n this.negative = 1;\n return this;\n }\n\n // Add without checks\n return this._iaddn(num);\n };\n\n BN.prototype._iaddn = function _iaddn (num) {\n this.words[0] += num;\n\n // Carry\n for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {\n this.words[i] -= 0x4000000;\n if (i === this.length - 1) {\n this.words[i + 1] = 1;\n } else {\n this.words[i + 1]++;\n }\n }\n this.length = Math.max(this.length, i + 1);\n\n return this;\n };\n\n // Subtract plain number `num` from `this`\n BN.prototype.isubn = function isubn (num) {\n assert(typeof num === 'number');\n assert(num < 0x4000000);\n if (num < 0) return this.iaddn(-num);\n\n if (this.negative !== 0) {\n this.negative = 0;\n this.iaddn(num);\n this.negative = 1;\n return this;\n }\n\n this.words[0] -= num;\n\n if (this.length === 1 && this.words[0] < 0) {\n this.words[0] = -this.words[0];\n this.negative = 1;\n } else {\n // Carry\n for (var i = 0; i < this.length && this.words[i] < 0; i++) {\n this.words[i] += 0x4000000;\n this.words[i + 1] -= 1;\n }\n }\n\n return this.strip();\n };\n\n BN.prototype.addn = function addn (num) {\n return this.clone().iaddn(num);\n };\n\n BN.prototype.subn = function subn (num) {\n return this.clone().isubn(num);\n };\n\n BN.prototype.iabs = function iabs () {\n this.negative = 0;\n\n return this;\n };\n\n BN.prototype.abs = function abs () {\n return this.clone().iabs();\n };\n\n BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {\n var len = num.length + shift;\n var i;\n\n this._expand(len);\n\n var w;\n var carry = 0;\n for (i = 0; i < num.length; i++) {\n w = (this.words[i + shift] | 0) + carry;\n var right = (num.words[i] | 0) * mul;\n w -= right & 0x3ffffff;\n carry = (w >> 26) - ((right / 0x4000000) | 0);\n this.words[i + shift] = w & 0x3ffffff;\n }\n for (; i < this.length - shift; i++) {\n w = (this.words[i + shift] | 0) + carry;\n carry = w >> 26;\n this.words[i + shift] = w & 0x3ffffff;\n }\n\n if (carry === 0) return this.strip();\n\n // Subtraction overflow\n assert(carry === -1);\n carry = 0;\n for (i = 0; i < this.length; i++) {\n w = -(this.words[i] | 0) + carry;\n carry = w >> 26;\n this.words[i] = w & 0x3ffffff;\n }\n this.negative = 1;\n\n return this.strip();\n };\n\n BN.prototype._wordDiv = function _wordDiv (num, mode) {\n var shift = this.length - num.length;\n\n var a = this.clone();\n var b = num;\n\n // Normalize\n var bhi = b.words[b.length - 1] | 0;\n var bhiBits = this._countBits(bhi);\n shift = 26 - bhiBits;\n if (shift !== 0) {\n b = b.ushln(shift);\n a.iushln(shift);\n bhi = b.words[b.length - 1] | 0;\n }\n\n // Initialize quotient\n var m = a.length - b.length;\n var q;\n\n if (mode !== 'mod') {\n q = new BN(null);\n q.length = m + 1;\n q.words = new Array(q.length);\n for (var i = 0; i < q.length; i++) {\n q.words[i] = 0;\n }\n }\n\n var diff = a.clone()._ishlnsubmul(b, 1, m);\n if (diff.negative === 0) {\n a = diff;\n if (q) {\n q.words[m] = 1;\n }\n }\n\n for (var j = m - 1; j >= 0; j--) {\n var qj = (a.words[b.length + j] | 0) * 0x4000000 +\n (a.words[b.length + j - 1] | 0);\n\n // NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max\n // (0x7ffffff)\n qj = Math.min((qj / bhi) | 0, 0x3ffffff);\n\n a._ishlnsubmul(b, qj, j);\n while (a.negative !== 0) {\n qj--;\n a.negative = 0;\n a._ishlnsubmul(b, 1, j);\n if (!a.isZero()) {\n a.negative ^= 1;\n }\n }\n if (q) {\n q.words[j] = qj;\n }\n }\n if (q) {\n q.strip();\n }\n a.strip();\n\n // Denormalize\n if (mode !== 'div' && shift !== 0) {\n a.iushrn(shift);\n }\n\n return {\n div: q || null,\n mod: a\n };\n };\n\n // NOTE: 1) `mode` can be set to `mod` to request mod only,\n // to `div` to request div only, or be absent to\n // request both div & mod\n // 2) `positive` is true if unsigned mod is requested\n BN.prototype.divmod = function divmod (num, mode, positive) {\n assert(!num.isZero());\n\n if (this.isZero()) {\n return {\n div: new BN(0),\n mod: new BN(0)\n };\n }\n\n var div, mod, res;\n if (this.negative !== 0 && num.negative === 0) {\n res = this.neg().divmod(num, mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.iadd(num);\n }\n }\n\n return {\n div: div,\n mod: mod\n };\n }\n\n if (this.negative === 0 && num.negative !== 0) {\n res = this.divmod(num.neg(), mode);\n\n if (mode !== 'mod') {\n div = res.div.neg();\n }\n\n return {\n div: div,\n mod: res.mod\n };\n }\n\n if ((this.negative & num.negative) !== 0) {\n res = this.neg().divmod(num.neg(), mode);\n\n if (mode !== 'div') {\n mod = res.mod.neg();\n if (positive && mod.negative !== 0) {\n mod.isub(num);\n }\n }\n\n return {\n div: res.div,\n mod: mod\n };\n }\n\n // Both numbers are positive at this point\n\n // Strip both numbers to approximate shift value\n if (num.length > this.length || this.cmp(num) < 0) {\n return {\n div: new BN(0),\n mod: this\n };\n }\n\n // Very short reduction\n if (num.length === 1) {\n if (mode === 'div') {\n return {\n div: this.divn(num.words[0]),\n mod: null\n };\n }\n\n if (mode === 'mod') {\n return {\n div: null,\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return {\n div: this.divn(num.words[0]),\n mod: new BN(this.modn(num.words[0]))\n };\n }\n\n return this._wordDiv(num, mode);\n };\n\n // Find `this` / `num`\n BN.prototype.div = function div (num) {\n return this.divmod(num, 'div', false).div;\n };\n\n // Find `this` % `num`\n BN.prototype.mod = function mod (num) {\n return this.divmod(num, 'mod', false).mod;\n };\n\n BN.prototype.umod = function umod (num) {\n return this.divmod(num, 'mod', true).mod;\n };\n\n // Find Round(`this` / `num`)\n BN.prototype.divRound = function divRound (num) {\n var dm = this.divmod(num);\n\n // Fast case - exact division\n if (dm.mod.isZero()) return dm.div;\n\n var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;\n\n var half = num.ushrn(1);\n var r2 = num.andln(1);\n var cmp = mod.cmp(half);\n\n // Round down\n if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;\n\n // Round up\n return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);\n };\n\n BN.prototype.modn = function modn (num) {\n assert(num <= 0x3ffffff);\n var p = (1 << 26) % num;\n\n var acc = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n acc = (p * acc + (this.words[i] | 0)) % num;\n }\n\n return acc;\n };\n\n // In-place division by number\n BN.prototype.idivn = function idivn (num) {\n assert(num <= 0x3ffffff);\n\n var carry = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var w = (this.words[i] | 0) + carry * 0x4000000;\n this.words[i] = (w / num) | 0;\n carry = w % num;\n }\n\n return this.strip();\n };\n\n BN.prototype.divn = function divn (num) {\n return this.clone().idivn(num);\n };\n\n BN.prototype.egcd = function egcd (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var x = this;\n var y = p.clone();\n\n if (x.negative !== 0) {\n x = x.umod(p);\n } else {\n x = x.clone();\n }\n\n // A * x + B * y = x\n var A = new BN(1);\n var B = new BN(0);\n\n // C * x + D * y = y\n var C = new BN(0);\n var D = new BN(1);\n\n var g = 0;\n\n while (x.isEven() && y.isEven()) {\n x.iushrn(1);\n y.iushrn(1);\n ++g;\n }\n\n var yp = y.clone();\n var xp = x.clone();\n\n while (!x.isZero()) {\n for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n x.iushrn(i);\n while (i-- > 0) {\n if (A.isOdd() || B.isOdd()) {\n A.iadd(yp);\n B.isub(xp);\n }\n\n A.iushrn(1);\n B.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n y.iushrn(j);\n while (j-- > 0) {\n if (C.isOdd() || D.isOdd()) {\n C.iadd(yp);\n D.isub(xp);\n }\n\n C.iushrn(1);\n D.iushrn(1);\n }\n }\n\n if (x.cmp(y) >= 0) {\n x.isub(y);\n A.isub(C);\n B.isub(D);\n } else {\n y.isub(x);\n C.isub(A);\n D.isub(B);\n }\n }\n\n return {\n a: C,\n b: D,\n gcd: y.iushln(g)\n };\n };\n\n // This is reduced incarnation of the binary EEA\n // above, designated to invert members of the\n // _prime_ fields F(p) at a maximal speed\n BN.prototype._invmp = function _invmp (p) {\n assert(p.negative === 0);\n assert(!p.isZero());\n\n var a = this;\n var b = p.clone();\n\n if (a.negative !== 0) {\n a = a.umod(p);\n } else {\n a = a.clone();\n }\n\n var x1 = new BN(1);\n var x2 = new BN(0);\n\n var delta = b.clone();\n\n while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {\n for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);\n if (i > 0) {\n a.iushrn(i);\n while (i-- > 0) {\n if (x1.isOdd()) {\n x1.iadd(delta);\n }\n\n x1.iushrn(1);\n }\n }\n\n for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);\n if (j > 0) {\n b.iushrn(j);\n while (j-- > 0) {\n if (x2.isOdd()) {\n x2.iadd(delta);\n }\n\n x2.iushrn(1);\n }\n }\n\n if (a.cmp(b) >= 0) {\n a.isub(b);\n x1.isub(x2);\n } else {\n b.isub(a);\n x2.isub(x1);\n }\n }\n\n var res;\n if (a.cmpn(1) === 0) {\n res = x1;\n } else {\n res = x2;\n }\n\n if (res.cmpn(0) < 0) {\n res.iadd(p);\n }\n\n return res;\n };\n\n BN.prototype.gcd = function gcd (num) {\n if (this.isZero()) return num.abs();\n if (num.isZero()) return this.abs();\n\n var a = this.clone();\n var b = num.clone();\n a.negative = 0;\n b.negative = 0;\n\n // Remove common factor of two\n for (var shift = 0; a.isEven() && b.isEven(); shift++) {\n a.iushrn(1);\n b.iushrn(1);\n }\n\n do {\n while (a.isEven()) {\n a.iushrn(1);\n }\n while (b.isEven()) {\n b.iushrn(1);\n }\n\n var r = a.cmp(b);\n if (r < 0) {\n // Swap `a` and `b` to make `a` always bigger than `b`\n var t = a;\n a = b;\n b = t;\n } else if (r === 0 || b.cmpn(1) === 0) {\n break;\n }\n\n a.isub(b);\n } while (true);\n\n return b.iushln(shift);\n };\n\n // Invert number in the field F(num)\n BN.prototype.invm = function invm (num) {\n return this.egcd(num).a.umod(num);\n };\n\n BN.prototype.isEven = function isEven () {\n return (this.words[0] & 1) === 0;\n };\n\n BN.prototype.isOdd = function isOdd () {\n return (this.words[0] & 1) === 1;\n };\n\n // And first word and num\n BN.prototype.andln = function andln (num) {\n return this.words[0] & num;\n };\n\n // Increment at the bit position in-line\n BN.prototype.bincn = function bincn (bit) {\n assert(typeof bit === 'number');\n var r = bit % 26;\n var s = (bit - r) / 26;\n var q = 1 << r;\n\n // Fast case: bit is much higher than all existing words\n if (this.length <= s) {\n this._expand(s + 1);\n this.words[s] |= q;\n return this;\n }\n\n // Add bit and propagate, if needed\n var carry = q;\n for (var i = s; carry !== 0 && i < this.length; i++) {\n var w = this.words[i] | 0;\n w += carry;\n carry = w >>> 26;\n w &= 0x3ffffff;\n this.words[i] = w;\n }\n if (carry !== 0) {\n this.words[i] = carry;\n this.length++;\n }\n return this;\n };\n\n BN.prototype.isZero = function isZero () {\n return this.length === 1 && this.words[0] === 0;\n };\n\n BN.prototype.cmpn = function cmpn (num) {\n var negative = num < 0;\n\n if (this.negative !== 0 && !negative) return -1;\n if (this.negative === 0 && negative) return 1;\n\n this.strip();\n\n var res;\n if (this.length > 1) {\n res = 1;\n } else {\n if (negative) {\n num = -num;\n }\n\n assert(num <= 0x3ffffff, 'Number is too big');\n\n var w = this.words[0] | 0;\n res = w === num ? 0 : w < num ? -1 : 1;\n }\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Compare two numbers and return:\n // 1 - if `this` > `num`\n // 0 - if `this` == `num`\n // -1 - if `this` < `num`\n BN.prototype.cmp = function cmp (num) {\n if (this.negative !== 0 && num.negative === 0) return -1;\n if (this.negative === 0 && num.negative !== 0) return 1;\n\n var res = this.ucmp(num);\n if (this.negative !== 0) return -res | 0;\n return res;\n };\n\n // Unsigned comparison\n BN.prototype.ucmp = function ucmp (num) {\n // At this point both numbers have the same sign\n if (this.length > num.length) return 1;\n if (this.length < num.length) return -1;\n\n var res = 0;\n for (var i = this.length - 1; i >= 0; i--) {\n var a = this.words[i] | 0;\n var b = num.words[i] | 0;\n\n if (a === b) continue;\n if (a < b) {\n res = -1;\n } else if (a > b) {\n res = 1;\n }\n break;\n }\n return res;\n };\n\n BN.prototype.gtn = function gtn (num) {\n return this.cmpn(num) === 1;\n };\n\n BN.prototype.gt = function gt (num) {\n return this.cmp(num) === 1;\n };\n\n BN.prototype.gten = function gten (num) {\n return this.cmpn(num) >= 0;\n };\n\n BN.prototype.gte = function gte (num) {\n return this.cmp(num) >= 0;\n };\n\n BN.prototype.ltn = function ltn (num) {\n return this.cmpn(num) === -1;\n };\n\n BN.prototype.lt = function lt (num) {\n return this.cmp(num) === -1;\n };\n\n BN.prototype.lten = function lten (num) {\n return this.cmpn(num) <= 0;\n };\n\n BN.prototype.lte = function lte (num) {\n return this.cmp(num) <= 0;\n };\n\n BN.prototype.eqn = function eqn (num) {\n return this.cmpn(num) === 0;\n };\n\n BN.prototype.eq = function eq (num) {\n return this.cmp(num) === 0;\n };\n\n //\n // A reduce context, could be using montgomery or something better, depending\n // on the `m` itself.\n //\n BN.red = function red (num) {\n return new Red(num);\n };\n\n BN.prototype.toRed = function toRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n assert(this.negative === 0, 'red works only with positives');\n return ctx.convertTo(this)._forceRed(ctx);\n };\n\n BN.prototype.fromRed = function fromRed () {\n assert(this.red, 'fromRed works only with numbers in reduction context');\n return this.red.convertFrom(this);\n };\n\n BN.prototype._forceRed = function _forceRed (ctx) {\n this.red = ctx;\n return this;\n };\n\n BN.prototype.forceRed = function forceRed (ctx) {\n assert(!this.red, 'Already a number in reduction context');\n return this._forceRed(ctx);\n };\n\n BN.prototype.redAdd = function redAdd (num) {\n assert(this.red, 'redAdd works only with red numbers');\n return this.red.add(this, num);\n };\n\n BN.prototype.redIAdd = function redIAdd (num) {\n assert(this.red, 'redIAdd works only with red numbers');\n return this.red.iadd(this, num);\n };\n\n BN.prototype.redSub = function redSub (num) {\n assert(this.red, 'redSub works only with red numbers');\n return this.red.sub(this, num);\n };\n\n BN.prototype.redISub = function redISub (num) {\n assert(this.red, 'redISub works only with red numbers');\n return this.red.isub(this, num);\n };\n\n BN.prototype.redShl = function redShl (num) {\n assert(this.red, 'redShl works only with red numbers');\n return this.red.shl(this, num);\n };\n\n BN.prototype.redMul = function redMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.mul(this, num);\n };\n\n BN.prototype.redIMul = function redIMul (num) {\n assert(this.red, 'redMul works only with red numbers');\n this.red._verify2(this, num);\n return this.red.imul(this, num);\n };\n\n BN.prototype.redSqr = function redSqr () {\n assert(this.red, 'redSqr works only with red numbers');\n this.red._verify1(this);\n return this.red.sqr(this);\n };\n\n BN.prototype.redISqr = function redISqr () {\n assert(this.red, 'redISqr works only with red numbers');\n this.red._verify1(this);\n return this.red.isqr(this);\n };\n\n // Square root over p\n BN.prototype.redSqrt = function redSqrt () {\n assert(this.red, 'redSqrt works only with red numbers');\n this.red._verify1(this);\n return this.red.sqrt(this);\n };\n\n BN.prototype.redInvm = function redInvm () {\n assert(this.red, 'redInvm works only with red numbers');\n this.red._verify1(this);\n return this.red.invm(this);\n };\n\n // Return negative clone of `this` % `red modulo`\n BN.prototype.redNeg = function redNeg () {\n assert(this.red, 'redNeg works only with red numbers');\n this.red._verify1(this);\n return this.red.neg(this);\n };\n\n BN.prototype.redPow = function redPow (num) {\n assert(this.red && !num.red, 'redPow(normalNum)');\n this.red._verify1(this);\n return this.red.pow(this, num);\n };\n\n // Prime numbers with efficient reduction\n var primes = {\n k256: null,\n p224: null,\n p192: null,\n p25519: null\n };\n\n // Pseudo-Mersenne prime\n function MPrime (name, p) {\n // P = 2 ^ N - K\n this.name = name;\n this.p = new BN(p, 16);\n this.n = this.p.bitLength();\n this.k = new BN(1).iushln(this.n).isub(this.p);\n\n this.tmp = this._tmp();\n }\n\n MPrime.prototype._tmp = function _tmp () {\n var tmp = new BN(null);\n tmp.words = new Array(Math.ceil(this.n / 13));\n return tmp;\n };\n\n MPrime.prototype.ireduce = function ireduce (num) {\n // Assumes that `num` is less than `P^2`\n // num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)\n var r = num;\n var rlen;\n\n do {\n this.split(r, this.tmp);\n r = this.imulK(r);\n r = r.iadd(this.tmp);\n rlen = r.bitLength();\n } while (rlen > this.n);\n\n var cmp = rlen < this.n ? -1 : r.ucmp(this.p);\n if (cmp === 0) {\n r.words[0] = 0;\n r.length = 1;\n } else if (cmp > 0) {\n r.isub(this.p);\n } else {\n r.strip();\n }\n\n return r;\n };\n\n MPrime.prototype.split = function split (input, out) {\n input.iushrn(this.n, 0, out);\n };\n\n MPrime.prototype.imulK = function imulK (num) {\n return num.imul(this.k);\n };\n\n function K256 () {\n MPrime.call(\n this,\n 'k256',\n 'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');\n }\n inherits(K256, MPrime);\n\n K256.prototype.split = function split (input, output) {\n // 256 = 9 * 26 + 22\n var mask = 0x3fffff;\n\n var outLen = Math.min(input.length, 9);\n for (var i = 0; i < outLen; i++) {\n output.words[i] = input.words[i];\n }\n output.length = outLen;\n\n if (input.length <= 9) {\n input.words[0] = 0;\n input.length = 1;\n return;\n }\n\n // Shift by 9 limbs\n var prev = input.words[9];\n output.words[output.length++] = prev & mask;\n\n for (i = 10; i < input.length; i++) {\n var next = input.words[i] | 0;\n input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);\n prev = next;\n }\n prev >>>= 22;\n input.words[i - 10] = prev;\n if (prev === 0 && input.length > 10) {\n input.length -= 10;\n } else {\n input.length -= 9;\n }\n };\n\n K256.prototype.imulK = function imulK (num) {\n // K = 0x1000003d1 = [ 0x40, 0x3d1 ]\n num.words[num.length] = 0;\n num.words[num.length + 1] = 0;\n num.length += 2;\n\n // bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390\n var lo = 0;\n for (var i = 0; i < num.length; i++) {\n var w = num.words[i] | 0;\n lo += w * 0x3d1;\n num.words[i] = lo & 0x3ffffff;\n lo = w * 0x40 + ((lo / 0x4000000) | 0);\n }\n\n // Fast length reduction\n if (num.words[num.length - 1] === 0) {\n num.length--;\n if (num.words[num.length - 1] === 0) {\n num.length--;\n }\n }\n return num;\n };\n\n function P224 () {\n MPrime.call(\n this,\n 'p224',\n 'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');\n }\n inherits(P224, MPrime);\n\n function P192 () {\n MPrime.call(\n this,\n 'p192',\n 'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');\n }\n inherits(P192, MPrime);\n\n function P25519 () {\n // 2 ^ 255 - 19\n MPrime.call(\n this,\n '25519',\n '7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');\n }\n inherits(P25519, MPrime);\n\n P25519.prototype.imulK = function imulK (num) {\n // K = 0x13\n var carry = 0;\n for (var i = 0; i < num.length; i++) {\n var hi = (num.words[i] | 0) * 0x13 + carry;\n var lo = hi & 0x3ffffff;\n hi >>>= 26;\n\n num.words[i] = lo;\n carry = hi;\n }\n if (carry !== 0) {\n num.words[num.length++] = carry;\n }\n return num;\n };\n\n // Exported mostly for testing purposes, use plain name instead\n BN._prime = function prime (name) {\n // Cached version of prime\n if (primes[name]) return primes[name];\n\n var prime;\n if (name === 'k256') {\n prime = new K256();\n } else if (name === 'p224') {\n prime = new P224();\n } else if (name === 'p192') {\n prime = new P192();\n } else if (name === 'p25519') {\n prime = new P25519();\n } else {\n throw new Error('Unknown prime ' + name);\n }\n primes[name] = prime;\n\n return prime;\n };\n\n //\n // Base reduction engine\n //\n function Red (m) {\n if (typeof m === 'string') {\n var prime = BN._prime(m);\n this.m = prime.p;\n this.prime = prime;\n } else {\n assert(m.gtn(1), 'modulus must be greater than 1');\n this.m = m;\n this.prime = null;\n }\n }\n\n Red.prototype._verify1 = function _verify1 (a) {\n assert(a.negative === 0, 'red works only with positives');\n assert(a.red, 'red works only with red numbers');\n };\n\n Red.prototype._verify2 = function _verify2 (a, b) {\n assert((a.negative | b.negative) === 0, 'red works only with positives');\n assert(a.red && a.red === b.red,\n 'red works only with red numbers');\n };\n\n Red.prototype.imod = function imod (a) {\n if (this.prime) return this.prime.ireduce(a)._forceRed(this);\n return a.umod(this.m)._forceRed(this);\n };\n\n Red.prototype.neg = function neg (a) {\n if (a.isZero()) {\n return a.clone();\n }\n\n return this.m.sub(a)._forceRed(this);\n };\n\n Red.prototype.add = function add (a, b) {\n this._verify2(a, b);\n\n var res = a.add(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.iadd = function iadd (a, b) {\n this._verify2(a, b);\n\n var res = a.iadd(b);\n if (res.cmp(this.m) >= 0) {\n res.isub(this.m);\n }\n return res;\n };\n\n Red.prototype.sub = function sub (a, b) {\n this._verify2(a, b);\n\n var res = a.sub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res._forceRed(this);\n };\n\n Red.prototype.isub = function isub (a, b) {\n this._verify2(a, b);\n\n var res = a.isub(b);\n if (res.cmpn(0) < 0) {\n res.iadd(this.m);\n }\n return res;\n };\n\n Red.prototype.shl = function shl (a, num) {\n this._verify1(a);\n return this.imod(a.ushln(num));\n };\n\n Red.prototype.imul = function imul (a, b) {\n this._verify2(a, b);\n return this.imod(a.imul(b));\n };\n\n Red.prototype.mul = function mul (a, b) {\n this._verify2(a, b);\n return this.imod(a.mul(b));\n };\n\n Red.prototype.isqr = function isqr (a) {\n return this.imul(a, a.clone());\n };\n\n Red.prototype.sqr = function sqr (a) {\n return this.mul(a, a);\n };\n\n Red.prototype.sqrt = function sqrt (a) {\n if (a.isZero()) return a.clone();\n\n var mod3 = this.m.andln(3);\n assert(mod3 % 2 === 1);\n\n // Fast case\n if (mod3 === 3) {\n var pow = this.m.add(new BN(1)).iushrn(2);\n return this.pow(a, pow);\n }\n\n // Tonelli-Shanks algorithm (Totally unoptimized and slow)\n //\n // Find Q and S, that Q * 2 ^ S = (P - 1)\n var q = this.m.subn(1);\n var s = 0;\n while (!q.isZero() && q.andln(1) === 0) {\n s++;\n q.iushrn(1);\n }\n assert(!q.isZero());\n\n var one = new BN(1).toRed(this);\n var nOne = one.redNeg();\n\n // Find quadratic non-residue\n // NOTE: Max is such because of generalized Riemann hypothesis.\n var lpow = this.m.subn(1).iushrn(1);\n var z = this.m.bitLength();\n z = new BN(2 * z * z).toRed(this);\n\n while (this.pow(z, lpow).cmp(nOne) !== 0) {\n z.redIAdd(nOne);\n }\n\n var c = this.pow(z, q);\n var r = this.pow(a, q.addn(1).iushrn(1));\n var t = this.pow(a, q);\n var m = s;\n while (t.cmp(one) !== 0) {\n var tmp = t;\n for (var i = 0; tmp.cmp(one) !== 0; i++) {\n tmp = tmp.redSqr();\n }\n assert(i < m);\n var b = this.pow(c, new BN(1).iushln(m - i - 1));\n\n r = r.redMul(b);\n c = b.redSqr();\n t = t.redMul(c);\n m = i;\n }\n\n return r;\n };\n\n Red.prototype.invm = function invm (a) {\n var inv = a._invmp(this.m);\n if (inv.negative !== 0) {\n inv.negative = 0;\n return this.imod(inv).redNeg();\n } else {\n return this.imod(inv);\n }\n };\n\n Red.prototype.pow = function pow (a, num) {\n if (num.isZero()) return new BN(1);\n if (num.cmpn(1) === 0) return a.clone();\n\n var windowSize = 4;\n var wnd = new Array(1 << windowSize);\n wnd[0] = new BN(1).toRed(this);\n wnd[1] = a;\n for (var i = 2; i < wnd.length; i++) {\n wnd[i] = this.mul(wnd[i - 1], a);\n }\n\n var res = wnd[0];\n var current = 0;\n var currentLen = 0;\n var start = num.bitLength() % 26;\n if (start === 0) {\n start = 26;\n }\n\n for (i = num.length - 1; i >= 0; i--) {\n var word = num.words[i];\n for (var j = start - 1; j >= 0; j--) {\n var bit = (word >> j) & 1;\n if (res !== wnd[0]) {\n res = this.sqr(res);\n }\n\n if (bit === 0 && current === 0) {\n currentLen = 0;\n continue;\n }\n\n current <<= 1;\n current |= bit;\n currentLen++;\n if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;\n\n res = this.mul(res, wnd[current]);\n currentLen = 0;\n current = 0;\n }\n start = 26;\n }\n\n return res;\n };\n\n Red.prototype.convertTo = function convertTo (num) {\n var r = num.umod(this.m);\n\n return r === num ? r.clone() : r;\n };\n\n Red.prototype.convertFrom = function convertFrom (num) {\n var res = num.clone();\n res.red = null;\n return res;\n };\n\n //\n // Montgomery method engine\n //\n\n BN.mont = function mont (num) {\n return new Mont(num);\n };\n\n function Mont (m) {\n Red.call(this, m);\n\n this.shift = this.m.bitLength();\n if (this.shift % 26 !== 0) {\n this.shift += 26 - (this.shift % 26);\n }\n\n this.r = new BN(1).iushln(this.shift);\n this.r2 = this.imod(this.r.sqr());\n this.rinv = this.r._invmp(this.m);\n\n this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);\n this.minv = this.minv.umod(this.r);\n this.minv = this.r.sub(this.minv);\n }\n inherits(Mont, Red);\n\n Mont.prototype.convertTo = function convertTo (num) {\n return this.imod(num.ushln(this.shift));\n };\n\n Mont.prototype.convertFrom = function convertFrom (num) {\n var r = this.imod(num.mul(this.rinv));\n r.red = null;\n return r;\n };\n\n Mont.prototype.imul = function imul (a, b) {\n if (a.isZero() || b.isZero()) {\n a.words[0] = 0;\n a.length = 1;\n return a;\n }\n\n var t = a.imul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.mul = function mul (a, b) {\n if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);\n\n var t = a.mul(b);\n var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);\n var u = t.isub(c).iushrn(this.shift);\n var res = u;\n if (u.cmp(this.m) >= 0) {\n res = u.isub(this.m);\n } else if (u.cmpn(0) < 0) {\n res = u.iadd(this.m);\n }\n\n return res._forceRed(this);\n };\n\n Mont.prototype.invm = function invm (a) {\n // (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R\n var res = this.imod(a._invmp(this.m).mul(this.r2));\n return res._forceRed(this);\n };\n})(typeof module === 'undefined' || module, this);\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/number-to-bn/~/bn.js/lib/bn.js\n// module id = 9\n// module chunks = 0","var isHexPrefixed = require('is-hex-prefixed');\n\n/**\n * Removes '0x' from a given `String` is present\n * @param {String} str the string value\n * @return {String|Optional} a string by pass if necessary\n */\nmodule.exports = function stripHexPrefix(str) {\n if (typeof str !== 'string') {\n return str;\n }\n\n return isHexPrefixed(str) ? str.slice(2) : str;\n}\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// ./~/strip-hex-prefix/src/index.js\n// module id = 10\n// module chunks = 0","var g;\r\n\r\n// This works in non-strict mode\r\ng = (function() { return this; })();\r\n\r\ntry {\r\n\t// This works if eval is allowed (see CSP)\r\n\tg = g || Function(\"return this\")() || (1,eval)(\"this\");\r\n} catch(e) {\r\n\t// This works if the window reference is available\r\n\tif(typeof window === \"object\")\r\n\t\tg = window;\r\n}\r\n\r\n// g can still be undefined, but nothing to do about it...\r\n// We return undefined, instead of nothing here, so it's\r\n// easier to handle this case. if(!global) { ...}\r\n\r\nmodule.exports = g;\r\n\n\n\n//////////////////\n// WEBPACK FOOTER\n// (webpack)/buildin/global.js\n// module id = 11\n// module chunks = 0","/* (ignored) */\n\n\n//////////////////\n// WEBPACK FOOTER\n// buffer (ignored)\n// module id = 12\n// module chunks = 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wt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(wt>>>26)|0,wt&=67108863,e=Math.imul(A,Z),n=Math.imul(A,q),n=n+Math.imul(E,Z)|0,o=Math.imul(E,q),e=e+Math.imul(M,F)|0,n=n+Math.imul(M,$)|0,n=n+Math.imul(b,F)|0,o=o+Math.imul(b,$)|0,e=e+Math.imul(v,J)|0,n=n+Math.imul(v,V)|0,n=n+Math.imul(y,J)|0,o=o+Math.imul(y,V)|0,e=e+Math.imul(d,W)|0,n=n+Math.imul(d,X)|0,n=n+Math.imul(c,W)|0,o=o+Math.imul(c,X)|0,e=e+Math.imul(l,Q)|0,n=n+Math.imul(l,tt)|0,n=n+Math.imul(m,Q)|0,o=o+Math.imul(m,tt)|0;var Mt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,e=Math.imul(B,Z),n=Math.imul(B,q),n=n+Math.imul(S,Z)|0,o=Math.imul(S,q),e=e+Math.imul(A,F)|0,n=n+Math.imul(A,$)|0,n=n+Math.imul(E,F)|0,o=o+Math.imul(E,$)|0,e=e+Math.imul(M,J)|0,n=n+Math.imul(M,V)|0,n=n+Math.imul(b,J)|0,o=o+Math.imul(b,V)|0,e=e+Math.imul(v,W)|0,n=n+Math.imul(v,X)|0,n=n+Math.imul(y,W)|0,o=o+Math.imul(y,X)|0,e=e+Math.imul(d,Q)|0,n=n+Math.imul(d,tt)|0,n=n+Math.imul(c,Q)|0,o=o+Math.imul(c,tt)|0,e=e+Math.imul(l,it)|0,n=n+Math.imul(l,et)|0,n=n+Math.imul(m,it)|0,o=o+Math.imul(m,et)|0;var bt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(bt>>>26)|0,bt&=67108863,e=Math.imul(T,Z),n=Math.imul(T,q),n=n+Math.imul(x,Z)|0,o=Math.imul(x,q),e=e+Math.imul(B,F)|0,n=n+Math.imul(B,$)|0,n=n+Math.imul(S,F)|0,o=o+Math.imul(S,$)|0,e=e+Math.imul(A,J)|0,n=n+Math.imul(A,V)|0,n=n+Math.imul(E,J)|0,o=o+Math.imul(E,V)|0,e=e+Math.imul(M,W)|0,n=n+Math.imul(M,X)|0,n=n+Math.imul(b,W)|0,o=o+Math.imul(b,X)|0,e=e+Math.imul(v,Q)|0,n=n+Math.imul(v,tt)|0,n=n+Math.imul(y,Q)|0,o=o+Math.imul(y,tt)|0,e=e+Math.imul(d,it)|0,n=n+Math.imul(d,et)|0,n=n+Math.imul(c,it)|0,o=o+Math.imul(c,et)|0,e=e+Math.imul(l,ot)|0,n=n+Math.imul(l,ht)|0,n=n+Math.imul(m,ot)|0,o=o+Math.imul(m,ht)|0;var _t=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(_t>>>26)|0,_t&=67108863,e=Math.imul(k,Z),n=Math.imul(k,q),n=n+Math.imul(I,Z)|0,o=Math.imul(I,q),e=e+Math.imul(T,F)|0,n=n+Math.imul(T,$)|0,n=n+Math.imul(x,F)|0,o=o+Math.imul(x,$)|0,e=e+Math.imul(B,J)|0,n=n+Math.imul(B,V)|0,n=n+Math.imul(S,J)|0,o=o+Math.imul(S,V)|0,e=e+Math.imul(A,W)|0,n=n+Math.imul(A,X)|0,n=n+Math.imul(E,W)|0,o=o+Math.imul(E,X)|0,e=e+Math.imul(M,Q)|0,n=n+Math.imul(M,tt)|0,n=n+Math.imul(b,Q)|0,o=o+Math.imul(b,tt)|0,e=e+Math.imul(v,it)|0,n=n+Math.imul(v,et)|0,n=n+Math.imul(y,it)|0,o=o+Math.imul(y,et)|0,e=e+Math.imul(d,ot)|0,n=n+Math.imul(d,ht)|0,n=n+Math.imul(c,ot)|0,o=o+Math.imul(c,ht)|0,e=e+Math.imul(l,ut)|0,n=n+Math.imul(l,at)|0,n=n+Math.imul(m,ut)|0,o=o+Math.imul(m,at)|0;var At=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(At>>>26)|0,At&=67108863,e=Math.imul(O,Z),n=Math.imul(O,q),n=n+Math.imul(Y,Z)|0,o=Math.imul(Y,q),e=e+Math.imul(k,F)|0,n=n+Math.imul(k,$)|0,n=n+Math.imul(I,F)|0,o=o+Math.imul(I,$)|0,e=e+Math.imul(T,J)|0,n=n+Math.imul(T,V)|0,n=n+Math.imul(x,J)|0,o=o+Math.imul(x,V)|0,e=e+Math.imul(B,W)|0,n=n+Math.imul(B,X)|0,n=n+Math.imul(S,W)|0,o=o+Math.imul(S,X)|0,e=e+Math.imul(A,Q)|0,n=n+Math.imul(A,tt)|0,n=n+Math.imul(E,Q)|0,o=o+Math.imul(E,tt)|0,e=e+Math.imul(M,it)|0,n=n+Math.imul(M,et)|0,n=n+Math.imul(b,it)|0,o=o+Math.imul(b,et)|0,e=e+Math.imul(v,ot)|0,n=n+Math.imul(v,ht)|0,n=n+Math.imul(y,ot)|0,o=o+Math.imul(y,ht)|0,e=e+Math.imul(d,ut)|0,n=n+Math.imul(d,at)|0,n=n+Math.imul(c,ut)|0,o=o+Math.imul(c,at)|0,e=e+Math.imul(l,lt)|0,n=n+Math.imul(l,mt)|0,n=n+Math.imul(m,lt)|0,o=o+Math.imul(m,mt)|0;var Et=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Et>>>26)|0,Et&=67108863,e=Math.imul(C,Z),n=Math.imul(C,q),n=n+Math.imul(D,Z)|0,o=Math.imul(D,q),e=e+Math.imul(O,F)|0,n=n+Math.imul(O,$)|0,n=n+Math.imul(Y,F)|0,o=o+Math.imul(Y,$)|0,e=e+Math.imul(k,J)|0,n=n+Math.imul(k,V)|0,n=n+Math.imul(I,J)|0,o=o+Math.imul(I,V)|0,e=e+Math.imul(T,W)|0,n=n+Math.imul(T,X)|0,n=n+Math.imul(x,W)|0,o=o+Math.imul(x,X)|0,e=e+Math.imul(B,Q)|0,n=n+Math.imul(B,tt)|0,n=n+Math.imul(S,Q)|0,o=o+Math.imul(S,tt)|0,e=e+Math.imul(A,it)|0,n=n+Math.imul(A,et)|0,n=n+Math.imul(E,it)|0,o=o+Math.imul(E,et)|0,e=e+Math.imul(M,ot)|0,n=n+Math.imul(M,ht)|0,n=n+Math.imul(b,ot)|0,o=o+Math.imul(b,ht)|0,e=e+Math.imul(v,ut)|0,n=n+Math.imul(v,at)|0,n=n+Math.imul(y,ut)|0,o=o+Math.imul(y,at)|0,e=e+Math.imul(d,lt)|0,n=n+Math.imul(d,mt)|0,n=n+Math.imul(c,lt)|0,o=o+Math.imul(c,mt)|0,e=e+Math.imul(l,dt)|0,n=n+Math.imul(l,ct)|0,n=n+Math.imul(m,dt)|0,o=o+Math.imul(m,ct)|0;var Rt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(C,F),n=Math.imul(C,$),n=n+Math.imul(D,F)|0,o=Math.imul(D,$),e=e+Math.imul(O,J)|0,n=n+Math.imul(O,V)|0,n=n+Math.imul(Y,J)|0,o=o+Math.imul(Y,V)|0,e=e+Math.imul(k,W)|0,n=n+Math.imul(k,X)|0,n=n+Math.imul(I,W)|0,o=o+Math.imul(I,X)|0,e=e+Math.imul(T,Q)|0,n=n+Math.imul(T,tt)|0,n=n+Math.imul(x,Q)|0,o=o+Math.imul(x,tt)|0,e=e+Math.imul(B,it)|0,n=n+Math.imul(B,et)|0,n=n+Math.imul(S,it)|0,o=o+Math.imul(S,et)|0,e=e+Math.imul(A,ot)|0,n=n+Math.imul(A,ht)|0,n=n+Math.imul(E,ot)|0,o=o+Math.imul(E,ht)|0,e=e+Math.imul(M,ut)|0,n=n+Math.imul(M,at)|0,n=n+Math.imul(b,ut)|0,o=o+Math.imul(b,at)|0,e=e+Math.imul(v,lt)|0,n=n+Math.imul(v,mt)|0,n=n+Math.imul(y,lt)|0,o=o+Math.imul(y,mt)|0,e=e+Math.imul(d,dt)|0,n=n+Math.imul(d,ct)|0,n=n+Math.imul(c,dt)|0,o=o+Math.imul(c,ct)|0;var Bt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(C,J),n=Math.imul(C,V),n=n+Math.imul(D,J)|0,o=Math.imul(D,V),e=e+Math.imul(O,W)|0,n=n+Math.imul(O,X)|0,n=n+Math.imul(Y,W)|0,o=o+Math.imul(Y,X)|0,e=e+Math.imul(k,Q)|0,n=n+Math.imul(k,tt)|0,n=n+Math.imul(I,Q)|0,o=o+Math.imul(I,tt)|0,e=e+Math.imul(T,it)|0,n=n+Math.imul(T,et)|0,n=n+Math.imul(x,it)|0,o=o+Math.imul(x,et)|0,e=e+Math.imul(B,ot)|0,n=n+Math.imul(B,ht)|0,n=n+Math.imul(S,ot)|0,o=o+Math.imul(S,ht)|0,e=e+Math.imul(A,ut)|0,n=n+Math.imul(A,at)|0,n=n+Math.imul(E,ut)|0,o=o+Math.imul(E,at)|0,e=e+Math.imul(M,lt)|0,n=n+Math.imul(M,mt)|0,n=n+Math.imul(b,lt)|0,o=o+Math.imul(b,mt)|0,e=e+Math.imul(v,dt)|0,n=n+Math.imul(v,ct)|0,n=n+Math.imul(y,dt)|0,o=o+Math.imul(y,ct)|0;var St=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(C,W),n=Math.imul(C,X),n=n+Math.imul(D,W)|0,o=Math.imul(D,X),e=e+Math.imul(O,Q)|0,n=n+Math.imul(O,tt)|0,n=n+Math.imul(Y,Q)|0,o=o+Math.imul(Y,tt)|0,e=e+Math.imul(k,it)|0,n=n+Math.imul(k,et)|0,n=n+Math.imul(I,it)|0,o=o+Math.imul(I,et)|0,e=e+Math.imul(T,ot)|0,n=n+Math.imul(T,ht)|0,n=n+Math.imul(x,ot)|0,o=o+Math.imul(x,ht)|0,e=e+Math.imul(B,ut)|0,n=n+Math.imul(B,at)|0,n=n+Math.imul(S,ut)|0,o=o+Math.imul(S,at)|0,e=e+Math.imul(A,lt)|0,n=n+Math.imul(A,mt)|0,n=n+Math.imul(E,lt)|0,o=o+Math.imul(E,mt)|0,e=e+Math.imul(M,dt)|0,n=n+Math.imul(M,ct)|0,n=n+Math.imul(b,dt)|0,o=o+Math.imul(b,ct)|0;var Pt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,e=Math.imul(C,Q),n=Math.imul(C,tt),n=n+Math.imul(D,Q)|0,o=Math.imul(D,tt),e=e+Math.imul(O,it)|0,n=n+Math.imul(O,et)|0,n=n+Math.imul(Y,it)|0,o=o+Math.imul(Y,et)|0,e=e+Math.imul(k,ot)|0,n=n+Math.imul(k,ht)|0,n=n+Math.imul(I,ot)|0,o=o+Math.imul(I,ht)|0,e=e+Math.imul(T,ut)|0,n=n+Math.imul(T,at)|0,n=n+Math.imul(x,ut)|0,o=o+Math.imul(x,at)|0,e=e+Math.imul(B,lt)|0,n=n+Math.imul(B,mt)|0,n=n+Math.imul(S,lt)|0,o=o+Math.imul(S,mt)|0,e=e+Math.imul(A,dt)|0,n=n+Math.imul(A,ct)|0,n=n+Math.imul(E,dt)|0,o=o+Math.imul(E,ct)|0;var Tt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,e=Math.imul(C,it),n=Math.imul(C,et),n=n+Math.imul(D,it)|0,o=Math.imul(D,et),e=e+Math.imul(O,ot)|0,n=n+Math.imul(O,ht)|0,n=n+Math.imul(Y,ot)|0,o=o+Math.imul(Y,ht)|0,e=e+Math.imul(k,ut)|0,n=n+Math.imul(k,at)|0,n=n+Math.imul(I,ut)|0,o=o+Math.imul(I,at)|0,e=e+Math.imul(T,lt)|0,n=n+Math.imul(T,mt)|0,n=n+Math.imul(x,lt)|0,o=o+Math.imul(x,mt)|0,e=e+Math.imul(B,dt)|0,n=n+Math.imul(B,ct)|0,n=n+Math.imul(S,dt)|0,o=o+Math.imul(S,ct)|0;var xt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(C,ot),n=Math.imul(C,ht),n=n+Math.imul(D,ot)|0,o=Math.imul(D,ht),e=e+Math.imul(O,ut)|0,n=n+Math.imul(O,at)|0,n=n+Math.imul(Y,ut)|0,o=o+Math.imul(Y,at)|0,e=e+Math.imul(k,lt)|0,n=n+Math.imul(k,mt)|0,n=n+Math.imul(I,lt)|0,o=o+Math.imul(I,mt)|0,e=e+Math.imul(T,dt)|0,n=n+Math.imul(T,ct)|0,n=n+Math.imul(x,dt)|0,o=o+Math.imul(x,ct)|0;var Ut=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(Ut>>>26)|0,Ut&=67108863,e=Math.imul(C,ut),n=Math.imul(C,at),n=n+Math.imul(D,ut)|0,o=Math.imul(D,at),e=e+Math.imul(O,lt)|0,n=n+Math.imul(O,mt)|0,n=n+Math.imul(Y,lt)|0,o=o+Math.imul(Y,mt)|0,e=e+Math.imul(k,dt)|0,n=n+Math.imul(k,ct)|0,n=n+Math.imul(I,dt)|0,o=o+Math.imul(I,ct)|0;var kt=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(C,lt),n=Math.imul(C,mt),n=n+Math.imul(D,lt)|0,o=Math.imul(D,mt),e=e+Math.imul(O,dt)|0,n=n+Math.imul(O,ct)|0,n=n+Math.imul(Y,dt)|0,o=o+Math.imul(Y,ct)|0;var It=(a+e|0)+((8191&n)<<13)|0;a=(o+(n>>>13)|0)+(It>>>26)|0,It&=67108863,e=Math.imul(C,dt),n=Math.imul(C,ct),n=n+Math.imul(D,dt)|0,o=Math.imul(D,ct);var Lt=(a+e|0)+((8191&n)<<13)|0;return a=(o+(n>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,u[0]=gt,u[1]=vt,u[2]=yt,u[3]=wt,u[4]=Mt,u[5]=bt,u[6]=_t,u[7]=At,u[8]=Et,u[9]=Rt,u[10]=Bt,u[11]=St,u[12]=Pt,u[13]=Tt,u[14]=xt,u[15]=Ut,u[16]=kt,u[17]=It,u[18]=Lt,0!==a&&(u[19]=a,i.length++),i};Math.imul||(R=a),o.prototype.mulTo=function(t,r){var i,e=this.length+t.length;return i=10===this.length&&10===t.length?R(this,t,r):63>e?a(this,t,r):1024>e?f(this,t,r):l(this,t,r)},m.prototype.makeRBT=function(t){for(var r=Array(t),i=o.prototype._countBits(t)-1,e=0;t>e;e++)r[e]=this.revBin(e,i,t);return r},m.prototype.revBin=function(t,r,i){if(0===t||t===i-1)return t;for(var e=0,n=0;r>n;n++)e|=(1&t)<>=1;return e},m.prototype.permute=function(t,r,i,e,n,o){for(var h=0;o>h;h++)e[h]=r[t[h]],n[h]=i[t[h]]},m.prototype.transform=function(t,r,i,e,n,o){this.permute(o,t,r,i,e,n);for(var h=1;n>h;h<<=1)for(var s=h<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),f=0;n>f;f+=s)for(var l=u,m=a,p=0;h>p;p++){var d=i[f+p],c=e[f+p],g=i[f+p+h],v=e[f+p+h],y=l*g-m*v;v=l*v+m*g,g=y,i[f+p]=d+g,e[f+p]=c+v,i[f+p+h]=d-g,e[f+p+h]=c-v,p!==s&&(y=u*l-a*m,m=u*m+a*l,l=y)}},m.prototype.guessLen13b=function(t,r){var i=1|Math.max(r,t),e=1&i,n=0;for(i=i/2|0;i;i>>>=1)n++;return 1<1)for(var e=0;i/2>e;e++){var n=t[e];t[e]=t[i-e-1],t[i-e-1]=n,n=r[e],r[e]=-r[i-e-1],r[i-e-1]=-n}},m.prototype.normalize13b=function(t,r){for(var i=0,e=0;r/2>e;e++){var n=8192*Math.round(t[2*e+1]/r)+Math.round(t[2*e]/r)+i;t[e]=67108863&n,i=67108864>n?0:n/67108864|0}return t},m.prototype.convert13b=function(t,r,i,n){for(var o=0,h=0;r>h;h++)o+=0|t[h],i[2*h]=8191&o,o>>>=13,i[2*h+1]=8191&o,o>>>=13;for(h=2*r;n>h;++h)i[h]=0;e(0===o),e(0===(o&-8192))},m.prototype.stub=function(t){for(var r=Array(t),i=0;t>i;i++)r[i]=0;return r},m.prototype.mulp=function(t,r,i){var e=2*this.guessLen13b(t.length,r.length),n=this.makeRBT(e),o=this.stub(e),h=Array(e),s=Array(e),u=Array(e),a=Array(e),f=Array(e),l=Array(e),m=i.words;m.length=e,this.convert13b(t.words,t.length,h,e),this.convert13b(r.words,r.length,a,e),this.transform(h,o,s,u,e,n),this.transform(a,o,f,l,e,n);for(var p=0;e>p;p++){var d=s[p]*f[p]-u[p]*l[p];u[p]=s[p]*l[p]+u[p]*f[p],s[p]=d}return this.conjugate(s,u,e),this.transform(s,u,m,o,e,n),this.conjugate(m,o,e),this.normalize13b(m,e),i.negative=t.negative^r.negative,i.length=t.length+r.length,i.strip()},o.prototype.mul=function(t){var r=new o(null);return r.words=Array(this.length+t.length),this.mulTo(t,r)},o.prototype.mulf=function(t){var r=new o(null);return r.words=Array(this.length+t.length),l(this,t,r)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){e("number"==typeof t),e(67108864>t);for(var r=0,i=0;this.length>i;i++){var n=(0|this.words[i])*t,o=(67108863&n)+(67108863&r);r>>=26,r+=n/67108864|0,r+=o>>>26,this.words[i]=67108863&o}return 0!==r&&(this.words[i]=r,this.length++),this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var r=u(t);if(0===r.length)return new o(1);for(var i=this,e=0;r.length>e&&0===r[e];e++,i=i.sqr());if(++ee;e++,n=n.sqr())0!==r[e]&&(i=i.mul(n));return i},o.prototype.iushln=function(t){e("number"==typeof t&&t>=0);var r,i=t%26,n=(t-i)/26,o=67108863>>>26-i<<26-i;if(0!==i){var h=0;for(r=0;this.length>r;r++){var s=this.words[r]&o,u=(0|this.words[r])-s<>>26-i}h&&(this.words[r]=h,this.length++)}if(0!==n){for(r=this.length-1;r>=0;r--)this.words[r+n]=this.words[r];for(r=0;n>r;r++)this.words[r]=0;this.length+=n}return this.strip()},o.prototype.ishln=function(t){return e(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,r,i){e("number"==typeof t&&t>=0);var n;n=r?(r-r%26)/26:0;var o=t%26,h=Math.min((t-o)/26,this.length),s=67108863^67108863>>>o<a;a++)u.words[a]=this.words[a];u.length=h}if(0===h);else if(this.length>h)for(this.length-=h,a=0;this.length>a;a++)this.words[a]=this.words[a+h];else this.words[0]=0,this.length=1;var f=0;for(a=this.length-1;!(0>a||0===f&&n>a);a--){var l=0|this.words[a];this.words[a]=f<<26-o|l>>>o,f=l&s}return u&&0!==f&&(u.words[u.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,r,i){return e(0===this.negative),this.iushrn(t,r,i)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){e("number"==typeof t&&t>=0);var r=t%26,i=(t-r)/26,n=1<=this.length)return!1;var o=this.words[i];return!!(o&n)},o.prototype.imaskn=function(t){e("number"==typeof t&&t>=0);var r=t%26,i=(t-r)/26;if(e(0===this.negative,"imaskn works only with positive numbers"),i>=this.length)return this;if(0!==r&&i++,this.length=Math.min(i,this.length),0!==r){var n=67108863^67108863>>>r<t),0>t?this.isubn(-t):0!==this.negative?1===this.length&&t>(0|this.words[0])?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},o.prototype._iaddn=function(t){this.words[0]+=t;for(var r=0;this.length>r&&this.words[r]>=67108864;r++)this.words[r]-=67108864,r===this.length-1?this.words[r+1]=1:this.words[r+1]++;return this.length=Math.max(this.length,r+1),this},o.prototype.isubn=function(t){if(e("number"==typeof t),e(67108864>t),0>t)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&0>this.words[0])this.words[0]=-this.words[0],this.negative=1;else for(var r=0;this.length>r&&0>this.words[r];r++)this.words[r]+=67108864,this.words[r+1]-=1;return this.strip()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,r,i){var n,o=t.length+i;this._expand(o);var h,s=0;for(n=0;t.length>n;n++){h=(0|this.words[n+i])+s;var u=(0|t.words[n])*r;h-=67108863&u,s=(h>>26)-(u/67108864|0),this.words[n+i]=67108863&h}for(;this.length-i>n;n++)h=(0|this.words[n+i])+s,s=h>>26,this.words[n+i]=67108863&h;if(0===s)return this.strip();for(e(s===-1),s=0,n=0;this.length>n;n++)h=-(0|this.words[n])+s,s=h>>26,this.words[n]=67108863&h;return this.negative=1,this.strip()},o.prototype._wordDiv=function(t,r){var i=this.length-t.length,e=this.clone(),n=t,h=0|n.words[n.length-1],s=this._countBits(h);i=26-s,0!==i&&(n=n.ushln(i),e.iushln(i),h=0|n.words[n.length-1]);var u,a=e.length-n.length;if("mod"!==r){u=new o(null),u.length=a+1,u.words=Array(u.length);for(var f=0;u.length>f;f++)u.words[f]=0}var l=e.clone()._ishlnsubmul(n,1,a);0===l.negative&&(e=l,u&&(u.words[a]=1));for(var m=a-1;m>=0;m--){var p=67108864*(0|e.words[n.length+m])+(0|e.words[n.length+m-1]);for(p=Math.min(p/h|0,67108863),e._ishlnsubmul(n,p,m);0!==e.negative;)p--,e.negative=0,e._ishlnsubmul(n,1,m),e.isZero()||(e.negative^=1);u&&(u.words[m]=p)}return u&&u.strip(),e.strip(),"div"!==r&&0!==i&&e.iushrn(i),{div:u||null,mod:e}},o.prototype.divmod=function(t,r,i){if(e(!t.isZero()),this.isZero())return{div:new o(0),mod:new o(0)};var n,h,s;return 0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,r),"mod"!==r&&(n=s.div.neg()),"div"!==r&&(h=s.mod.neg(),i&&0!==h.negative&&h.iadd(t)),{div:n,mod:h}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),r),"mod"!==r&&(n=s.div.neg()),{div:n,mod:s.mod}):0!==(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),r),"div"!==r&&(h=s.mod.neg(),i&&0!==h.negative&&h.isub(t)),{div:s.div,mod:h}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===r?{div:this.divn(t.words[0]),mod:null -}:"mod"===r?{div:null,mod:new o(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modn(t.words[0]))}:this._wordDiv(t,r)},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var r=this.divmod(t);if(r.mod.isZero())return r.div;var i=0!==r.div.negative?r.mod.isub(t):r.mod,e=t.ushrn(1),n=t.andln(1),o=i.cmp(e);return 0>o||1===n&&0===o?r.div:0!==r.div.negative?r.div.isubn(1):r.div.iaddn(1)},o.prototype.modn=function(t){e(67108863>=t);for(var r=(1<<26)%t,i=0,n=this.length-1;n>=0;n--)i=(r*i+(0|this.words[n]))%t;return i},o.prototype.idivn=function(t){e(67108863>=t);for(var r=0,i=this.length-1;i>=0;i--){var n=(0|this.words[i])+67108864*r;this.words[i]=n/t|0,r=n%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){e(0===t.negative),e(!t.isZero());var r=this,i=t.clone();r=0!==r.negative?r.umod(t):r.clone();for(var n=new o(1),h=new o(0),s=new o(0),u=new o(1),a=0;r.isEven()&&i.isEven();)r.iushrn(1),i.iushrn(1),++a;for(var f=i.clone(),l=r.clone();!r.isZero();){for(var m=0,p=1;0===(r.words[0]&p)&&26>m;++m,p<<=1);if(m>0)for(r.iushrn(m);m-- >0;)(n.isOdd()||h.isOdd())&&(n.iadd(f),h.isub(l)),n.iushrn(1),h.iushrn(1);for(var d=0,c=1;0===(i.words[0]&c)&&26>d;++d,c<<=1);if(d>0)for(i.iushrn(d);d-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(f),u.isub(l)),s.iushrn(1),u.iushrn(1);r.cmp(i)<0?(i.isub(r),s.isub(n),u.isub(h)):(r.isub(i),n.isub(s),h.isub(u))}return{a:s,b:u,gcd:i.iushln(a)}},o.prototype._invmp=function(t){e(0===t.negative),e(!t.isZero());var r=this,i=t.clone();r=0!==r.negative?r.umod(t):r.clone();for(var n=new o(1),h=new o(0),s=i.clone();r.cmpn(1)>0&&i.cmpn(1)>0;){for(var u=0,a=1;0===(r.words[0]&a)&&26>u;++u,a<<=1);if(u>0)for(r.iushrn(u);u-- >0;)n.isOdd()&&n.iadd(s),n.iushrn(1);for(var f=0,l=1;0===(i.words[0]&l)&&26>f;++f,l<<=1);if(f>0)for(i.iushrn(f);f-- >0;)h.isOdd()&&h.iadd(s),h.iushrn(1);r.cmp(i)<0?(i.isub(r),h.isub(n)):(r.isub(i),n.isub(h))}var m;return m=0===r.cmpn(1)?n:h,m.cmpn(0)<0&&m.iadd(t),m},o.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var r=this.clone(),i=t.clone();r.negative=0,i.negative=0;for(var e=0;r.isEven()&&i.isEven();e++)r.iushrn(1),i.iushrn(1);for(;;){for(;r.isEven();)r.iushrn(1);for(;i.isEven();)i.iushrn(1);var n=r.cmp(i);if(0>n){var o=r;r=i,i=o}else if(0===n||0===i.cmpn(1))break;r.isub(i)}return i.iushln(e)},o.prototype.invm=function(t){return this.egcd(t).a.umod(t)},o.prototype.isEven=function(){return 0===(1&this.words[0])},o.prototype.isOdd=function(){return 1===(1&this.words[0])},o.prototype.andln=function(t){return this.words[0]&t},o.prototype.bincn=function(t){e("number"==typeof t);var r=t%26,i=(t-r)/26,n=1<=this.length)return this._expand(i+1),this.words[i]|=n,this;for(var o=n,h=i;0!==o&&this.length>h;h++){var s=0|this.words[h];s+=o,o=s>>>26,s&=67108863,this.words[h]=s}return 0!==o&&(this.words[h]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(t){var r=0>t;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;this.strip();var i;if(this.length>1)i=1;else{r&&(t=-t),e(67108863>=t,"Number is too big");var n=0|this.words[0];i=n===t?0:t>n?-1:1}return 0!==this.negative?0|-i:i},o.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var r=this.ucmp(t);return 0!==this.negative?0|-r:r},o.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(t.length>this.length)return-1;for(var r=0,i=this.length-1;i>=0;i--){var e=0|this.words[i],n=0|t.words[i];if(e!==n){n>e?r=-1:e>n&&(r=1);break}}return r},o.prototype.gtn=function(t){return 1===this.cmpn(t)},o.prototype.gt=function(t){return 1===this.cmp(t)},o.prototype.gten=function(t){return this.cmpn(t)>=0},o.prototype.gte=function(t){return this.cmp(t)>=0},o.prototype.ltn=function(t){return this.cmpn(t)===-1},o.prototype.lt=function(t){return this.cmp(t)===-1},o.prototype.lten=function(t){return this.cmpn(t)<=0},o.prototype.lte=function(t){return this.cmp(t)<=0},o.prototype.eqn=function(t){return 0===this.cmpn(t)},o.prototype.eq=function(t){return 0===this.cmp(t)},o.red=function(t){return new y(t)},o.prototype.toRed=function(t){return e(!this.red,"Already a number in reduction context"),e(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},o.prototype.fromRed=function(){return e(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},o.prototype._forceRed=function(t){return this.red=t,this},o.prototype.forceRed=function(t){return e(!this.red,"Already a number in reduction context"),this._forceRed(t)},o.prototype.redAdd=function(t){return e(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},o.prototype.redIAdd=function(t){return e(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},o.prototype.redSub=function(t){return e(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},o.prototype.redISub=function(t){return e(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},o.prototype.redShl=function(t){return e(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},o.prototype.redMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},o.prototype.redIMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},o.prototype.redSqr=function(){return e(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},o.prototype.redISqr=function(){return e(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},o.prototype.redSqrt=function(){return e(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},o.prototype.redInvm=function(){return e(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},o.prototype.redNeg=function(){return e(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},o.prototype.redPow=function(t){return e(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var B={k256:null,p224:null,p192:null,p25519:null};p.prototype._tmp=function(){var t=new o(null);return t.words=Array(Math.ceil(this.n/13)),t},p.prototype.ireduce=function(t){var r,i=t;do this.split(i,this.tmp),i=this.imulK(i),i=i.iadd(this.tmp),r=i.bitLength();while(r>this.n);var e=this.n>r?-1:i.ucmp(this.p);return 0===e?(i.words[0]=0,i.length=1):e>0?i.isub(this.p):i.strip(),i},p.prototype.split=function(t,r){t.iushrn(this.n,0,r)},p.prototype.imulK=function(t){return t.imul(this.k)},n(d,p),d.prototype.split=function(t,r){for(var i=4194303,e=Math.min(t.length,9),n=0;e>n;n++)r.words[n]=t.words[n];if(r.length=e,9>=t.length)return t.words[0]=0,void(t.length=1);var o=t.words[9];for(r.words[r.length++]=o&i,n=10;t.length>n;n++){var h=0|t.words[n];t.words[n-10]=(h&i)<<4|o>>>22,o=h}o>>>=22,t.words[n-10]=o,t.length-=0===o&&t.length>10?10:9},d.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var r=0,i=0;t.length>i;i++){var e=0|t.words[i];r+=977*e,t.words[i]=67108863&r,r=64*e+(r/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},n(c,p),n(g,p),n(v,p),v.prototype.imulK=function(t){for(var r=0,i=0;t.length>i;i++){var e=19*(0|t.words[i])+r,n=67108863&e;e>>>=26,t.words[i]=n,r=e}return 0!==r&&(t.words[t.length++]=r),t},o._prime=function S(t){if(B[t])return B[t];var S;if("k256"===t)S=new d;else if("p224"===t)S=new c;else if("p192"===t)S=new g;else{if("p25519"!==t)throw Error("Unknown prime "+t);S=new v}return B[t]=S,S},y.prototype._verify1=function(t){e(0===t.negative,"red works only with positives"),e(t.red,"red works only with red numbers")},y.prototype._verify2=function(t,r){e(0===(t.negative|r.negative),"red works only with positives"),e(t.red&&t.red===r.red,"red works only with red numbers")},y.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},y.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},y.prototype.add=function(t,r){this._verify2(t,r);var i=t.add(r);return i.cmp(this.m)<0||i.isub(this.m),i._forceRed(this)},y.prototype.iadd=function(t,r){this._verify2(t,r);var i=t.iadd(r);return i.cmp(this.m)<0||i.isub(this.m),i},y.prototype.sub=function(t,r){this._verify2(t,r);var i=t.sub(r);return i.cmpn(0)<0&&i.iadd(this.m),i._forceRed(this)},y.prototype.isub=function(t,r){this._verify2(t,r);var i=t.isub(r);return i.cmpn(0)<0&&i.iadd(this.m),i},y.prototype.shl=function(t,r){return this._verify1(t),this.imod(t.ushln(r))},y.prototype.imul=function(t,r){return this._verify2(t,r),this.imod(t.imul(r))},y.prototype.mul=function(t,r){return this._verify2(t,r),this.imod(t.mul(r))},y.prototype.isqr=function(t){return this.imul(t,t.clone())},y.prototype.sqr=function(t){return this.mul(t,t)},y.prototype.sqrt=function(t){if(t.isZero())return t.clone();var r=this.m.andln(3);if(e(r%2===1),3===r){var i=this.m.add(new o(1)).iushrn(2);return this.pow(t,i)}for(var n=this.m.subn(1),h=0;!n.isZero()&&0===n.andln(1);)h++,n.iushrn(1);e(!n.isZero());var s=new o(1).toRed(this),u=s.redNeg(),a=this.m.subn(1).iushrn(1),f=this.m.bitLength();for(f=new o(2*f*f).toRed(this);0!==this.pow(f,a).cmp(u);)f.redIAdd(u);for(var l=this.pow(f,n),m=this.pow(t,n.addn(1).iushrn(1)),p=this.pow(t,n),d=h;0!==p.cmp(s);){for(var c=p,g=0;0!==c.cmp(s);g++)c=c.redSqr();e(d>g);var v=this.pow(l,new o(1).iushln(d-g-1));m=m.redMul(v),l=v.redSqr(),p=p.redMul(l),d=g}return m},y.prototype.invm=function(t){var r=t._invmp(this.m);return 0!==r.negative?(r.negative=0,this.imod(r).redNeg()):this.imod(r)},y.prototype.pow=function(t,r){if(r.isZero())return new o(1);if(0===r.cmpn(1))return t.clone();var i=4,e=Array(1<n;n++)e[n]=this.mul(e[n-1],t);var h=e[0],s=0,u=0,a=r.bitLength()%26;for(0===a&&(a=26),n=r.length-1;n>=0;n--){for(var f=r.words[n],l=a-1;l>=0;l--){var m=f>>l&1;h!==e[0]&&(h=this.sqr(h)),0!==m||0!==s?(s<<=1,s|=m,u++,(u===i||0===n&&0===l)&&(h=this.mul(h,e[s]),u=0,s=0)):u=0}a=26}return h},y.prototype.convertTo=function(t){var r=t.umod(this.m);return r===t?r.clone():r},y.prototype.convertFrom=function(t){var r=t.clone();return r.red=null,r},o.mont=function(t){return new w(t)},n(w,y),w.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},w.prototype.convertFrom=function(t){var r=this.imod(t.mul(this.rinv));return r.red=null,r},w.prototype.imul=function(t,r){if(t.isZero()||r.isZero())return t.words[0]=0,t.length=1,t;var i=t.imul(r),e=i.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=i.isub(e).iushrn(this.shift),o=n;return n.cmp(this.m)<0?n.cmpn(0)<0&&(o=n.iadd(this.m)):o=n.isub(this.m),o._forceRed(this)},w.prototype.mul=function(t,r){if(t.isZero()||r.isZero())return new 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this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},h.prototype.inotn=function(t){n("number"==typeof t&&t>=0);var i=0|Math.ceil(t/26),r=t%26;this._expand(i),r>0&&i--;for(var e=0;i>e;e++)this.words[e]=67108863&~this.words[e];return r>0&&(this.words[e]=~this.words[e]&67108863>>26-r),this.strip()},h.prototype.notn=function(t){return this.clone().inotn(t)},h.prototype.setn=function(t,i){n("number"==typeof t&&t>=0);var r=t/26|0,e=t%26;return this._expand(r+1),this.words[r]=i?this.words[r]|1<t.length?(r=this,n=t):(r=t,n=this);for(var e=0,h=0;n.length>h;h++)i=(0|r.words[h])+(0|n.words[h])+e,this.words[h]=67108863&i,e=i>>>26;for(;0!==e&&r.length>h;h++)i=(0|r.words[h])+e,this.words[h]=67108863&i,e=i>>>26;if(this.length=r.length,0!==e)this.words[this.length]=e,this.length++;else if(r!==this)for(;r.length>h;h++)this.words[h]=r.words[h];return this},h.prototype.add=function(t){var i;return 0!==t.negative&&0===this.negative?(t.negative=0,i=this.sub(t),t.negative^=1,i):0===t.negative&&0!==this.negative?(this.negative=0,i=t.sub(this),this.negative=1,i):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},h.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var i=this.iadd(t);return t.negative=1,i._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r=this.cmp(t);if(0===r)return this.negative=0,this.length=1,this.words[0]=0,this;var n,e;r>0?(n=this,e=t):(n=t,e=this);for(var h=0,o=0;e.length>o;o++)i=(0|n.words[o])-(0|e.words[o])+h,h=i>>26,this.words[o]=67108863&i;for(;0!==h&&n.length>o;o++)i=(0|n.words[o])+h,h=i>>26,this.words[o]=67108863&i;if(0===h&&n.length>o&&n!==this)for(;n.length>o;o++)this.words[o]=n.words[o];return this.length=Math.max(this.length,o),n!==this&&(this.negative=1),this.strip()},h.prototype.sub=function(t){return this.clone().isub(t)};var E=function(t,i,r){var n,e,h,o=t.words,s=i.words,u=r.words,a=0,l=0|o[0],f=8191&l,m=l>>>13,d=0|o[1],p=8191&d,c=d>>>13,g=0|o[2],v=8191&g,M=g>>>13,w=0|o[3],y=8191&w,b=w>>>13,_=0|o[4],A=8191&_,R=_>>>13,E=0|o[5],S=8191&E,B=E>>>13,x=0|o[6],k=8191&x,T=x>>>13,P=0|o[7],I=8191&P,U=P>>>13,L=0|o[8],N=8191&L,O=L>>>13,Z=0|o[9],q=8191&Z,Y=Z>>>13,C=0|s[0],j=8191&C,D=C>>>13,z=0|s[1],F=8191&z,K=z>>>13,$=0|s[2],H=8191&$,J=$>>>13,V=0|s[3],W=8191&V,X=V>>>13,G=0|s[4],Q=8191&G,tt=G>>>13,it=0|s[5],rt=8191&it,nt=it>>>13,et=0|s[6],ht=8191&et,ot=et>>>13,st=0|s[7],ut=8191&st,at=st>>>13,lt=0|s[8],ft=8191<,mt=lt>>>13,dt=0|s[9],pt=8191&dt,ct=dt>>>13;r.negative=t.negative^i.negative,r.length=19,n=Math.imul(f,j),e=Math.imul(f,D),e=e+Math.imul(m,j)|0,h=Math.imul(m,D);var gt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(p,j),e=Math.imul(p,D),e=e+Math.imul(c,j)|0,h=Math.imul(c,D),n=n+Math.imul(f,F)|0,e=e+Math.imul(f,K)|0,e=e+Math.imul(m,F)|0,h=h+Math.imul(m,K)|0;var vt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(v,j),e=Math.imul(v,D),e=e+Math.imul(M,j)|0,h=Math.imul(M,D),n=n+Math.imul(p,F)|0,e=e+Math.imul(p,K)|0,e=e+Math.imul(c,F)|0,h=h+Math.imul(c,K)|0,n=n+Math.imul(f,H)|0,e=e+Math.imul(f,J)|0,e=e+Math.imul(m,H)|0,h=h+Math.imul(m,J)|0;var Mt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(y,j),e=Math.imul(y,D),e=e+Math.imul(b,j)|0,h=Math.imul(b,D),n=n+Math.imul(v,F)|0,e=e+Math.imul(v,K)|0,e=e+Math.imul(M,F)|0,h=h+Math.imul(M,K)|0,n=n+Math.imul(p,H)|0,e=e+Math.imul(p,J)|0,e=e+Math.imul(c,H)|0,h=h+Math.imul(c,J)|0,n=n+Math.imul(f,W)|0,e=e+Math.imul(f,X)|0,e=e+Math.imul(m,W)|0,h=h+Math.imul(m,X)|0;var wt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(A,j),e=Math.imul(A,D),e=e+Math.imul(R,j)|0,h=Math.imul(R,D),n=n+Math.imul(y,F)|0,e=e+Math.imul(y,K)|0,e=e+Math.imul(b,F)|0,h=h+Math.imul(b,K)|0,n=n+Math.imul(v,H)|0,e=e+Math.imul(v,J)|0,e=e+Math.imul(M,H)|0,h=h+Math.imul(M,J)|0,n=n+Math.imul(p,W)|0,e=e+Math.imul(p,X)|0,e=e+Math.imul(c,W)|0,h=h+Math.imul(c,X)|0,n=n+Math.imul(f,Q)|0,e=e+Math.imul(f,tt)|0,e=e+Math.imul(m,Q)|0,h=h+Math.imul(m,tt)|0;var yt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(yt>>>26)|0,yt&=67108863,n=Math.imul(S,j),e=Math.imul(S,D),e=e+Math.imul(B,j)|0,h=Math.imul(B,D),n=n+Math.imul(A,F)|0,e=e+Math.imul(A,K)|0,e=e+Math.imul(R,F)|0,h=h+Math.imul(R,K)|0,n=n+Math.imul(y,H)|0,e=e+Math.imul(y,J)|0,e=e+Math.imul(b,H)|0,h=h+Math.imul(b,J)|0,n=n+Math.imul(v,W)|0,e=e+Math.imul(v,X)|0,e=e+Math.imul(M,W)|0,h=h+Math.imul(M,X)|0,n=n+Math.imul(p,Q)|0,e=e+Math.imul(p,tt)|0,e=e+Math.imul(c,Q)|0,h=h+Math.imul(c,tt)|0,n=n+Math.imul(f,rt)|0,e=e+Math.imul(f,nt)|0,e=e+Math.imul(m,rt)|0,h=h+Math.imul(m,nt)|0;var bt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(k,j),e=Math.imul(k,D),e=e+Math.imul(T,j)|0,h=Math.imul(T,D),n=n+Math.imul(S,F)|0,e=e+Math.imul(S,K)|0,e=e+Math.imul(B,F)|0,h=h+Math.imul(B,K)|0,n=n+Math.imul(A,H)|0,e=e+Math.imul(A,J)|0,e=e+Math.imul(R,H)|0,h=h+Math.imul(R,J)|0,n=n+Math.imul(y,W)|0,e=e+Math.imul(y,X)|0,e=e+Math.imul(b,W)|0,h=h+Math.imul(b,X)|0,n=n+Math.imul(v,Q)|0,e=e+Math.imul(v,tt)|0,e=e+Math.imul(M,Q)|0,h=h+Math.imul(M,tt)|0,n=n+Math.imul(p,rt)|0,e=e+Math.imul(p,nt)|0,e=e+Math.imul(c,rt)|0,h=h+Math.imul(c,nt)|0,n=n+Math.imul(f,ht)|0,e=e+Math.imul(f,ot)|0,e=e+Math.imul(m,ht)|0,h=h+Math.imul(m,ot)|0;var _t=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(I,j),e=Math.imul(I,D),e=e+Math.imul(U,j)|0,h=Math.imul(U,D),n=n+Math.imul(k,F)|0,e=e+Math.imul(k,K)|0,e=e+Math.imul(T,F)|0,h=h+Math.imul(T,K)|0,n=n+Math.imul(S,H)|0,e=e+Math.imul(S,J)|0,e=e+Math.imul(B,H)|0,h=h+Math.imul(B,J)|0,n=n+Math.imul(A,W)|0,e=e+Math.imul(A,X)|0,e=e+Math.imul(R,W)|0,h=h+Math.imul(R,X)|0,n=n+Math.imul(y,Q)|0,e=e+Math.imul(y,tt)|0,e=e+Math.imul(b,Q)|0,h=h+Math.imul(b,tt)|0,n=n+Math.imul(v,rt)|0,e=e+Math.imul(v,nt)|0,e=e+Math.imul(M,rt)|0,h=h+Math.imul(M,nt)|0,n=n+Math.imul(p,ht)|0,e=e+Math.imul(p,ot)|0,e=e+Math.imul(c,ht)|0,h=h+Math.imul(c,ot)|0,n=n+Math.imul(f,ut)|0,e=e+Math.imul(f,at)|0,e=e+Math.imul(m,ut)|0,h=h+Math.imul(m,at)|0;var At=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(N,j),e=Math.imul(N,D),e=e+Math.imul(O,j)|0,h=Math.imul(O,D),n=n+Math.imul(I,F)|0,e=e+Math.imul(I,K)|0,e=e+Math.imul(U,F)|0,h=h+Math.imul(U,K)|0,n=n+Math.imul(k,H)|0,e=e+Math.imul(k,J)|0,e=e+Math.imul(T,H)|0,h=h+Math.imul(T,J)|0,n=n+Math.imul(S,W)|0,e=e+Math.imul(S,X)|0,e=e+Math.imul(B,W)|0,h=h+Math.imul(B,X)|0,n=n+Math.imul(A,Q)|0,e=e+Math.imul(A,tt)|0,e=e+Math.imul(R,Q)|0,h=h+Math.imul(R,tt)|0,n=n+Math.imul(y,rt)|0,e=e+Math.imul(y,nt)|0,e=e+Math.imul(b,rt)|0,h=h+Math.imul(b,nt)|0,n=n+Math.imul(v,ht)|0,e=e+Math.imul(v,ot)|0,e=e+Math.imul(M,ht)|0,h=h+Math.imul(M,ot)|0,n=n+Math.imul(p,ut)|0,e=e+Math.imul(p,at)|0,e=e+Math.imul(c,ut)|0,h=h+Math.imul(c,at)|0,n=n+Math.imul(f,ft)|0,e=e+Math.imul(f,mt)|0,e=e+Math.imul(m,ft)|0,h=h+Math.imul(m,mt)|0;var Rt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(q,j),e=Math.imul(q,D),e=e+Math.imul(Y,j)|0,h=Math.imul(Y,D),n=n+Math.imul(N,F)|0,e=e+Math.imul(N,K)|0,e=e+Math.imul(O,F)|0,h=h+Math.imul(O,K)|0,n=n+Math.imul(I,H)|0,e=e+Math.imul(I,J)|0,e=e+Math.imul(U,H)|0,h=h+Math.imul(U,J)|0,n=n+Math.imul(k,W)|0,e=e+Math.imul(k,X)|0,e=e+Math.imul(T,W)|0,h=h+Math.imul(T,X)|0,n=n+Math.imul(S,Q)|0,e=e+Math.imul(S,tt)|0,e=e+Math.imul(B,Q)|0,h=h+Math.imul(B,tt)|0,n=n+Math.imul(A,rt)|0,e=e+Math.imul(A,nt)|0,e=e+Math.imul(R,rt)|0,h=h+Math.imul(R,nt)|0,n=n+Math.imul(y,ht)|0,e=e+Math.imul(y,ot)|0,e=e+Math.imul(b,ht)|0,h=h+Math.imul(b,ot)|0,n=n+Math.imul(v,ut)|0,e=e+Math.imul(v,at)|0,e=e+Math.imul(M,ut)|0,h=h+Math.imul(M,at)|0,n=n+Math.imul(p,ft)|0,e=e+Math.imul(p,mt)|0,e=e+Math.imul(c,ft)|0,h=h+Math.imul(c,mt)|0,n=n+Math.imul(f,pt)|0,e=e+Math.imul(f,ct)|0,e=e+Math.imul(m,pt)|0,h=h+Math.imul(m,ct)|0;var Et=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(q,F),e=Math.imul(q,K),e=e+Math.imul(Y,F)|0,h=Math.imul(Y,K),n=n+Math.imul(N,H)|0,e=e+Math.imul(N,J)|0,e=e+Math.imul(O,H)|0,h=h+Math.imul(O,J)|0,n=n+Math.imul(I,W)|0,e=e+Math.imul(I,X)|0,e=e+Math.imul(U,W)|0,h=h+Math.imul(U,X)|0,n=n+Math.imul(k,Q)|0,e=e+Math.imul(k,tt)|0,e=e+Math.imul(T,Q)|0,h=h+Math.imul(T,tt)|0,n=n+Math.imul(S,rt)|0,e=e+Math.imul(S,nt)|0,e=e+Math.imul(B,rt)|0,h=h+Math.imul(B,nt)|0,n=n+Math.imul(A,ht)|0,e=e+Math.imul(A,ot)|0,e=e+Math.imul(R,ht)|0,h=h+Math.imul(R,ot)|0,n=n+Math.imul(y,ut)|0,e=e+Math.imul(y,at)|0,e=e+Math.imul(b,ut)|0,h=h+Math.imul(b,at)|0,n=n+Math.imul(v,ft)|0,e=e+Math.imul(v,mt)|0,e=e+Math.imul(M,ft)|0,h=h+Math.imul(M,mt)|0,n=n+Math.imul(p,pt)|0,e=e+Math.imul(p,ct)|0,e=e+Math.imul(c,pt)|0,h=h+Math.imul(c,ct)|0;var St=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(q,H),e=Math.imul(q,J),e=e+Math.imul(Y,H)|0,h=Math.imul(Y,J),n=n+Math.imul(N,W)|0,e=e+Math.imul(N,X)|0,e=e+Math.imul(O,W)|0,h=h+Math.imul(O,X)|0,n=n+Math.imul(I,Q)|0,e=e+Math.imul(I,tt)|0,e=e+Math.imul(U,Q)|0,h=h+Math.imul(U,tt)|0,n=n+Math.imul(k,rt)|0,e=e+Math.imul(k,nt)|0,e=e+Math.imul(T,rt)|0,h=h+Math.imul(T,nt)|0,n=n+Math.imul(S,ht)|0,e=e+Math.imul(S,ot)|0,e=e+Math.imul(B,ht)|0,h=h+Math.imul(B,ot)|0,n=n+Math.imul(A,ut)|0,e=e+Math.imul(A,at)|0,e=e+Math.imul(R,ut)|0,h=h+Math.imul(R,at)|0,n=n+Math.imul(y,ft)|0,e=e+Math.imul(y,mt)|0,e=e+Math.imul(b,ft)|0,h=h+Math.imul(b,mt)|0,n=n+Math.imul(v,pt)|0,e=e+Math.imul(v,ct)|0,e=e+Math.imul(M,pt)|0,h=h+Math.imul(M,ct)|0;var Bt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(q,W),e=Math.imul(q,X),e=e+Math.imul(Y,W)|0,h=Math.imul(Y,X),n=n+Math.imul(N,Q)|0,e=e+Math.imul(N,tt)|0,e=e+Math.imul(O,Q)|0,h=h+Math.imul(O,tt)|0,n=n+Math.imul(I,rt)|0,e=e+Math.imul(I,nt)|0,e=e+Math.imul(U,rt)|0,h=h+Math.imul(U,nt)|0,n=n+Math.imul(k,ht)|0,e=e+Math.imul(k,ot)|0,e=e+Math.imul(T,ht)|0,h=h+Math.imul(T,ot)|0,n=n+Math.imul(S,ut)|0,e=e+Math.imul(S,at)|0,e=e+Math.imul(B,ut)|0,h=h+Math.imul(B,at)|0,n=n+Math.imul(A,ft)|0,e=e+Math.imul(A,mt)|0,e=e+Math.imul(R,ft)|0,h=h+Math.imul(R,mt)|0,n=n+Math.imul(y,pt)|0,e=e+Math.imul(y,ct)|0,e=e+Math.imul(b,pt)|0,h=h+Math.imul(b,ct)|0;var xt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(q,Q),e=Math.imul(q,tt),e=e+Math.imul(Y,Q)|0,h=Math.imul(Y,tt),n=n+Math.imul(N,rt)|0,e=e+Math.imul(N,nt)|0,e=e+Math.imul(O,rt)|0,h=h+Math.imul(O,nt)|0,n=n+Math.imul(I,ht)|0,e=e+Math.imul(I,ot)|0,e=e+Math.imul(U,ht)|0,h=h+Math.imul(U,ot)|0,n=n+Math.imul(k,ut)|0,e=e+Math.imul(k,at)|0,e=e+Math.imul(T,ut)|0,h=h+Math.imul(T,at)|0,n=n+Math.imul(S,ft)|0,e=e+Math.imul(S,mt)|0,e=e+Math.imul(B,ft)|0,h=h+Math.imul(B,mt)|0,n=n+Math.imul(A,pt)|0,e=e+Math.imul(A,ct)|0,e=e+Math.imul(R,pt)|0,h=h+Math.imul(R,ct)|0;var kt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(q,rt),e=Math.imul(q,nt),e=e+Math.imul(Y,rt)|0,h=Math.imul(Y,nt),n=n+Math.imul(N,ht)|0,e=e+Math.imul(N,ot)|0,e=e+Math.imul(O,ht)|0,h=h+Math.imul(O,ot)|0,n=n+Math.imul(I,ut)|0,e=e+Math.imul(I,at)|0,e=e+Math.imul(U,ut)|0,h=h+Math.imul(U,at)|0,n=n+Math.imul(k,ft)|0,e=e+Math.imul(k,mt)|0,e=e+Math.imul(T,ft)|0,h=h+Math.imul(T,mt)|0,n=n+Math.imul(S,pt)|0,e=e+Math.imul(S,ct)|0,e=e+Math.imul(B,pt)|0,h=h+Math.imul(B,ct)|0;var Tt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,n=Math.imul(q,ht),e=Math.imul(q,ot),e=e+Math.imul(Y,ht)|0,h=Math.imul(Y,ot),n=n+Math.imul(N,ut)|0,e=e+Math.imul(N,at)|0,e=e+Math.imul(O,ut)|0,h=h+Math.imul(O,at)|0,n=n+Math.imul(I,ft)|0,e=e+Math.imul(I,mt)|0,e=e+Math.imul(U,ft)|0,h=h+Math.imul(U,mt)|0,n=n+Math.imul(k,pt)|0,e=e+Math.imul(k,ct)|0,e=e+Math.imul(T,pt)|0,h=h+Math.imul(T,ct)|0;var Pt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(q,ut),e=Math.imul(q,at),e=e+Math.imul(Y,ut)|0,h=Math.imul(Y,at),n=n+Math.imul(N,ft)|0,e=e+Math.imul(N,mt)|0,e=e+Math.imul(O,ft)|0,h=h+Math.imul(O,mt)|0,n=n+Math.imul(I,pt)|0,e=e+Math.imul(I,ct)|0,e=e+Math.imul(U,pt)|0,h=h+Math.imul(U,ct)|0;var It=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(It>>>26)|0,It&=67108863,n=Math.imul(q,ft),e=Math.imul(q,mt),e=e+Math.imul(Y,ft)|0,h=Math.imul(Y,mt),n=n+Math.imul(N,pt)|0,e=e+Math.imul(N,ct)|0,e=e+Math.imul(O,pt)|0,h=h+Math.imul(O,ct)|0;var Ut=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Ut>>>26)|0,Ut&=67108863,n=Math.imul(q,pt),e=Math.imul(q,ct),e=e+Math.imul(Y,pt)|0,h=Math.imul(Y,ct);var Lt=(a+n|0)+((8191&e)<<13)|0;return a=(h+(e>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,u[0]=gt,u[1]=vt,u[2]=Mt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=At,u[8]=Rt,u[9]=Et,u[10]=St,u[11]=Bt,u[12]=xt,u[13]=kt,u[14]=Tt,u[15]=Pt,u[16]=It,u[17]=Ut,u[18]=Lt,0!==a&&(u[19]=a,r.length++),r};Math.imul||(E=a),h.prototype.mulTo=function(t,i){var r,n=this.length+t.length;return r=10===this.length&&10===t.length?E(this,t,i):63>n?a(this,t,i):1024>n?l(this,t,i):f(this,t,i)},m.prototype.makeRBT=function(t){for(var i=Array(t),r=h.prototype._countBits(t)-1,n=0;t>n;n++)i[n]=this.revBin(n,r,t);return i},m.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var n=0,e=0;i>e;e++)n|=(1&t)<>=1;return n},m.prototype.permute=function(t,i,r,n,e,h){for(var o=0;h>o;o++)n[o]=i[t[o]],e[o]=r[t[o]]},m.prototype.transform=function(t,i,r,n,e,h){this.permute(h,t,i,r,n,e);for(var o=1;e>o;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;e>l;l+=s)for(var f=u,m=a,d=0;o>d;d++){var p=r[l+d],c=n[l+d],g=r[l+d+o],v=n[l+d+o],M=f*g-m*v;v=f*v+m*g,g=M,r[l+d]=p+g,n[l+d]=c+v,r[l+d+o]=p-g,n[l+d+o]=c-v,d!==s&&(M=u*f-a*m,m=u*m+a*f,f=M)}},m.prototype.guessLen13b=function(t,i){var r=1|Math.max(i,t),n=1&r,e=0;for(r=r/2|0;r;r>>>=1)e++;return 1<1)for(var n=0;r/2>n;n++){var e=t[n];t[n]=t[r-n-1],t[r-n-1]=e,e=i[n],i[n]=-i[r-n-1],i[r-n-1]=-e}},m.prototype.normalize13b=function(t,i){for(var r=0,n=0;i/2>n;n++){var e=8192*Math.round(t[2*n+1]/i)+Math.round(t[2*n]/i)+r;t[n]=67108863&e,r=67108864>e?0:e/67108864|0}return t},m.prototype.convert13b=function(t,i,r,e){for(var h=0,o=0;i>o;o++)h+=0|t[o],r[2*o]=8191&h,h>>>=13,r[2*o+1]=8191&h,h>>>=13;for(o=2*i;e>o;++o)r[o]=0;n(0===h),n(0===(h&-8192))},m.prototype.stub=function(t){for(var i=Array(t),r=0;t>r;r++)i[r]=0;return i},m.prototype.mulp=function(t,i,r){var n=2*this.guessLen13b(t.length,i.length),e=this.makeRBT(n),h=this.stub(n),o=Array(n),s=Array(n),u=Array(n),a=Array(n),l=Array(n),f=Array(n),m=r.words;m.length=n,this.convert13b(t.words,t.length,o,n),this.convert13b(i.words,i.length,a,n),this.transform(o,h,s,u,n,e),this.transform(a,h,l,f,n,e);for(var d=0;n>d;d++){var p=s[d]*l[d]-u[d]*f[d];u[d]=s[d]*f[d]+u[d]*l[d],s[d]=p}return this.conjugate(s,u,n),this.transform(s,u,m,h,n,e),this.conjugate(m,h,n),this.normalize13b(m,n),r.negative=t.negative^i.negative,r.length=t.length+i.length,r.strip()},h.prototype.mul=function(t){var i=new h(null);return i.words=Array(this.length+t.length),this.mulTo(t,i)},h.prototype.mulf=function(t){var i=new h(null);return i.words=Array(this.length+t.length),f(this,t,i)},h.prototype.imul=function(t){return this.clone().mulTo(t,this)},h.prototype.imuln=function(t){n("number"==typeof t),n(67108864>t);for(var i=0,r=0;this.length>r;r++){var e=(0|this.words[r])*t,h=(67108863&e)+(67108863&i);i>>=26,i+=e/67108864|0,i+=h>>>26,this.words[r]=67108863&h}return 0!==i&&(this.words[r]=i,this.length++),this},h.prototype.muln=function(t){return this.clone().imuln(t)},h.prototype.sqr=function(){return this.mul(this)},h.prototype.isqr=function(){return this.imul(this.clone())},h.prototype.pow=function(t){var i=u(t);if(0===i.length)return new h(1);for(var r=this,n=0;i.length>n&&0===i[n];n++,r=r.sqr());if(++nn;n++,e=e.sqr())0!==i[n]&&(r=r.mul(e));return r},h.prototype.iushln=function(t){n("number"==typeof t&&t>=0);var i,r=t%26,e=(t-r)/26,h=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(i=0;this.length>i;i++){var s=this.words[i]&h,u=(0|this.words[i])-s<>>26-r}o&&(this.words[i]=o,this.length++)}if(0!==e){for(i=this.length-1;i>=0;i--)this.words[i+e]=this.words[i];for(i=0;e>i;i++)this.words[i]=0;this.length+=e}return this.strip()},h.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},h.prototype.iushrn=function(t,i,r){n("number"==typeof t&&t>=0);var e;e=i?(i-i%26)/26:0;var h=t%26,o=Math.min((t-h)/26,this.length),s=67108863^67108863>>>h<a;a++)u.words[a]=this.words[a];u.length=o}if(0===o);else if(this.length>o)for(this.length-=o,a=0;this.length>a;a++)this.words[a]=this.words[a+o];else this.words[0]=0,this.length=1;var l=0;for(a=this.length-1;!(0>a||0===l&&e>a);a--){var f=0|this.words[a];this.words[a]=l<<26-h|f>>>h,l=f&s}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},h.prototype.ishrn=function(t,i,r){return n(0===this.negative),this.iushrn(t,i,r)},h.prototype.shln=function(t){return this.clone().ishln(t)},h.prototype.ushln=function(t){return this.clone().iushln(t)},h.prototype.shrn=function(t){return this.clone().ishrn(t)},h.prototype.ushrn=function(t){return this.clone().iushrn(t)},h.prototype.testn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,e=1<=this.length)return!1;var h=this.words[r];return!!(h&e)},h.prototype.imaskn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26;if(n(0===this.negative,"imaskn works only with positive numbers"),r>=this.length)return this;if(0!==i&&r++,this.length=Math.min(r,this.length),0!==i){var e=67108863^67108863>>>i<t),0>t?this.isubn(-t):0!==this.negative?1===this.length&&t>(0|this.words[0])?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},h.prototype._iaddn=function(t){this.words[0]+=t;for(var i=0;this.length>i&&this.words[i]>=67108864;i++)this.words[i]-=67108864,i===this.length-1?this.words[i+1]=1:this.words[i+1]++;return this.length=Math.max(this.length,i+1),this},h.prototype.isubn=function(t){if(n("number"==typeof t),n(67108864>t),0>t)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&0>this.words[0])this.words[0]=-this.words[0],this.negative=1;else for(var i=0;this.length>i&&0>this.words[i];i++)this.words[i]+=67108864,this.words[i+1]-=1;return this.strip()},h.prototype.addn=function(t){return this.clone().iaddn(t)},h.prototype.subn=function(t){return this.clone().isubn(t)},h.prototype.iabs=function(){return this.negative=0,this},h.prototype.abs=function(){return this.clone().iabs()},h.prototype._ishlnsubmul=function(t,i,r){var e,h=t.length+r;this._expand(h);var o,s=0;for(e=0;t.length>e;e++){o=(0|this.words[e+r])+s;var u=(0|t.words[e])*i;o-=67108863&u,s=(o>>26)-(u/67108864|0),this.words[e+r]=67108863&o}for(;this.length-r>e;e++)o=(0|this.words[e+r])+s,s=o>>26,this.words[e+r]=67108863&o;if(0===s)return this.strip();for(n(s===-1),s=0,e=0;this.length>e;e++)o=-(0|this.words[e])+s,s=o>>26,this.words[e]=67108863&o;return this.negative=1,this.strip()},h.prototype._wordDiv=function(t,i){var r=this.length-t.length,n=this.clone(),e=t,o=0|e.words[e.length-1],s=this._countBits(o);r=26-s,0!==r&&(e=e.ushln(r),n.iushln(r),o=0|e.words[e.length-1]);var u,a=n.length-e.length;if("mod"!==i){u=new h(null),u.length=a+1,u.words=Array(u.length);for(var l=0;u.length>l;l++)u.words[l]=0}var f=n.clone()._ishlnsubmul(e,1,a);0===f.negative&&(n=f,u&&(u.words[a]=1));for(var m=a-1;m>=0;m--){var d=67108864*(0|n.words[e.length+m])+(0|n.words[e.length+m-1]);for(d=Math.min(d/o|0,67108863),n._ishlnsubmul(e,d,m);0!==n.negative;)d--,n.negative=0,n._ishlnsubmul(e,1,m),n.isZero()||(n.negative^=1);u&&(u.words[m]=d)}return u&&u.strip(),n.strip(),"div"!==i&&0!==r&&n.iushrn(r),{div:u||null,mod:n}},h.prototype.divmod=function(t,i,r){if(n(!t.isZero()),this.isZero())return{div:new h(0),mod:new h(0)};var e,o,s;return 0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,i),"mod"!==i&&(e=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:e,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(e=s.div.neg()),{div:e,mod:s.mod}):0!==(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),i),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:s.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new h(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new h(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new h(this.modn(t.words[0]))}:this._wordDiv(t,i)},h.prototype.div=function(t){return this.divmod(t,"div",!1).div},h.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},h.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},h.prototype.divRound=function(t){var i=this.divmod(t);if(i.mod.isZero())return i.div;var r=0!==i.div.negative?i.mod.isub(t):i.mod,n=t.ushrn(1),e=t.andln(1),h=r.cmp(n);return 0>h||1===e&&0===h?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},h.prototype.modn=function(t){n(67108863>=t);for(var i=(1<<26)%t,r=0,e=this.length-1;e>=0;e--)r=(i*r+(0|this.words[e]))%t;return r},h.prototype.idivn=function(t){n(67108863>=t);for(var i=0,r=this.length-1;r>=0;r--){var e=(0|this.words[r])+67108864*i;this.words[r]=e/t|0,i=e%t}return this.strip()},h.prototype.divn=function(t){return this.clone().idivn(t)},h.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e=new h(1),o=new h(0),s=new h(0),u=new h(1),a=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++a;for(var l=r.clone(),f=i.clone();!i.isZero();){for(var m=0,d=1;0===(i.words[0]&d)&&26>m;++m,d<<=1);if(m>0)for(i.iushrn(m);m-- >0;)(e.isOdd()||o.isOdd())&&(e.iadd(l),o.isub(f)),e.iushrn(1),o.iushrn(1);for(var p=0,c=1;0===(r.words[0]&c)&&26>p;++p,c<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(l),u.isub(f)),s.iushrn(1),u.iushrn(1);i.cmp(r)<0?(r.isub(i),s.isub(e),u.isub(o)):(i.isub(r),e.isub(s),o.isub(u))}return{a:s,b:u,gcd:r.iushln(a)}},h.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e=new h(1),o=new h(0),s=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var u=0,a=1;0===(i.words[0]&a)&&26>u;++u,a<<=1);if(u>0)for(i.iushrn(u);u-- >0;)e.isOdd()&&e.iadd(s),e.iushrn(1);for(var l=0,f=1;0===(r.words[0]&f)&&26>l;++l,f<<=1);if(l>0)for(r.iushrn(l);l-- >0;)o.isOdd()&&o.iadd(s),o.iushrn(1);i.cmp(r)<0?(r.isub(i),o.isub(e)):(i.isub(r),e.isub(o))}var m;return m=0===i.cmpn(1)?e:o,m.cmpn(0)<0&&m.iadd(t),m},h.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var i=this.clone(),r=t.clone();i.negative=0,r.negative=0;for(var n=0;i.isEven()&&r.isEven();n++)i.iushrn(1),r.iushrn(1);for(;;){for(;i.isEven();)i.iushrn(1);for(;r.isEven();)r.iushrn(1);var e=i.cmp(r);if(0>e){var h=i;i=r,r=h}else if(0===e||0===r.cmpn(1))break;i.isub(r)}return r.iushln(n)},h.prototype.invm=function(t){return this.egcd(t).a.umod(t)},h.prototype.isEven=function(){return 0===(1&this.words[0])},h.prototype.isOdd=function(){return 1===(1&this.words[0])},h.prototype.andln=function(t){return this.words[0]&t},h.prototype.bincn=function(t){n("number"==typeof t);var i=t%26,r=(t-i)/26,e=1<=this.length)return this._expand(r+1),this.words[r]|=e,this;for(var h=e,o=r;0!==h&&this.length>o;o++){var s=0|this.words[o];s+=h,h=s>>>26,s&=67108863,this.words[o]=s}return 0!==h&&(this.words[o]=h,this.length++),this},h.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},h.prototype.cmpn=function(t){var i=0>t;if(0!==this.negative&&!i)return-1;if(0===this.negative&&i)return 1;this.strip();var r;if(this.length>1)r=1;else{i&&(t=-t),n(67108863>=t,"Number is too big");var e=0|this.words[0];r=e===t?0:t>e?-1:1}return 0!==this.negative?0|-r:r},h.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var i=this.ucmp(t);return 0!==this.negative?0|-i:i},h.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(t.length>this.length)return-1;for(var i=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],e=0|t.words[r];if(n!==e){e>n?i=-1:n>e&&(i=1);break}}return i},h.prototype.gtn=function(t){return 1===this.cmpn(t)},h.prototype.gt=function(t){return 1===this.cmp(t)},h.prototype.gten=function(t){return this.cmpn(t)>=0},h.prototype.gte=function(t){return this.cmp(t)>=0},h.prototype.ltn=function(t){return this.cmpn(t)===-1},h.prototype.lt=function(t){return this.cmp(t)===-1},h.prototype.lten=function(t){return this.cmpn(t)<=0},h.prototype.lte=function(t){return this.cmp(t)<=0},h.prototype.eqn=function(t){return 0===this.cmpn(t)},h.prototype.eq=function(t){return 0===this.cmp(t)},h.red=function(t){return new M(t)},h.prototype.toRed=function(t){return n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},h.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},h.prototype._forceRed=function(t){return this.red=t,this},h.prototype.forceRed=function(t){return n(!this.red,"Already a number in reduction context"),this._forceRed(t)},h.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},h.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},h.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},h.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},h.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},h.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},h.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},h.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},h.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},h.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},h.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},h.prototype.redNeg=function(){return n(this.red,"redNeg 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o=0|t.words[e];t.words[e-10]=(o&r)<<4|h>>>22,h=o}h>>>=22,t.words[e-10]=h,t.length-=0===h&&t.length>10?10:9},p.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var i=0,r=0;t.length>r;r++){var n=0|t.words[r];i+=977*n,t.words[r]=67108863&i,i=64*n+(i/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},e(c,d),e(g,d),e(v,d),v.prototype.imulK=function(t){for(var i=0,r=0;t.length>r;r++){var n=19*(0|t.words[r])+i,e=67108863&n;n>>>=26,t.words[r]=e,i=n}return 0!==i&&(t.words[t.length++]=i),t},h._prime=function B(t){if(S[t])return S[t];var B;if("k256"===t)B=new p;else if("p224"===t)B=new c;else if("p192"===t)B=new g;else{if("p25519"!==t)throw Error("Unknown prime "+t);B=new v}return S[t]=B,B},M.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},M.prototype._verify2=function(t,i){n(0===(t.negative|i.negative),"red works only with 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this.imul(t,t.clone())},M.prototype.sqr=function(t){return this.mul(t,t)},M.prototype.sqrt=function(t){if(t.isZero())return t.clone();var i=this.m.andln(3);if(n(i%2===1),3===i){var r=this.m.add(new h(1)).iushrn(2);return this.pow(t,r)}for(var e=this.m.subn(1),o=0;!e.isZero()&&0===e.andln(1);)o++,e.iushrn(1);n(!e.isZero());var s=new h(1).toRed(this),u=s.redNeg(),a=this.m.subn(1).iushrn(1),l=this.m.bitLength();for(l=new h(2*l*l).toRed(this);0!==this.pow(l,a).cmp(u);)l.redIAdd(u);for(var f=this.pow(l,e),m=this.pow(t,e.addn(1).iushrn(1)),d=this.pow(t,e),p=o;0!==d.cmp(s);){for(var c=d,g=0;0!==c.cmp(s);g++)c=c.redSqr();n(p>g);var v=this.pow(f,new h(1).iushln(p-g-1));m=m.redMul(v),f=v.redSqr(),d=d.redMul(f),p=g}return m},M.prototype.invm=function(t){var i=t._invmp(this.m);return 0!==i.negative?(i.negative=0,this.imod(i).redNeg()):this.imod(i)},M.prototype.pow=function(t,i){if(i.isZero())return new h(1).toRed(this);if(0===i.cmpn(1))return t.clone();var r=4,n=Array(1<e;e++)n[e]=this.mul(n[e-1],t);var o=n[0],s=0,u=0,a=i.bitLength()%26;for(0===a&&(a=26),e=i.length-1;e>=0;e--){for(var l=i.words[e],f=a-1;f>=0;f--){var m=l>>f&1;o!==n[0]&&(o=this.sqr(o)),0!==m||0!==s?(s<<=1,s|=m,u++,(u===r||0===e&&0===f)&&(o=this.mul(o,n[s]),u=0,s=0)):u=0}a=26}return o},M.prototype.convertTo=function(t){var i=t.umod(this.m);return i===t?i.clone():i},M.prototype.convertFrom=function(t){var i=t.clone();return i.red=null,i},h.mont=function(t){return new w(t)},e(w,M),w.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},w.prototype.convertFrom=function(t){var i=this.imod(t.mul(this.rinv));return i.red=null,i},w.prototype.imul=function(t,i){if(t.isZero()||i.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(i),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),h=e;return e.cmp(this.m)<0?e.cmpn(0)<0&&(h=e.iadd(this.m)):h=e.isub(this.m),h._forceRed(this)},w.prototype.mul=function(t,i){if(t.isZero()||i.isZero())return new h(0)._forceRed(this);var r=t.mul(i),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),o=e;return e.cmp(this.m)<0?e.cmpn(0)<0&&(o=e.iadd(this.m)):o=e.isub(this.m),o._forceRed(this)},w.prototype.invm=function(t){var i=this.imod(t._invmp(this.m).mul(this.r2));return i._forceRed(this)}}(void 0===t||t,this)}).call(i,r(1)(t))},function(t,i,r){var n=r(9),e=r(10);t.exports=function(t){if("string"==typeof t||"number"==typeof t){var i=new n(1),r=(t+"").toLowerCase().trim(),h="0x"===r.substr(0,2)||"-0x"===r.substr(0,3),o=e(r);if("-"===o.substr(0,1)&&(o=e(o.slice(1)), +i=new n((-1),10)),o=""===o?"0":o,!o.match(/^-?[0-9]+$/)&&o.match(/^[0-9A-Fa-f]+$/)||o.match(/^[a-fA-F]+$/)||h===!0&&o.match(/^[0-9A-Fa-f]+$/))return new n(o,16).mul(i);if((o.match(/^-?[0-9]+$/)||""===o)&&h===!1)return new n(o,10).mul(i)}else if("object"==typeof t&&t.toString&&!t.pop&&!t.push&&t.toString(10).match(/^-?[0-9]+$/)&&(t.mul||t.dividedToIntegerBy))return new n(t.toString(10),10);throw Error("[number-to-bn] while converting number "+JSON.stringify(t)+" to BN.js instance, error: invalid number value. Value must be an integer, hex string, BN or BigNumber instance. Note, decimals are not supported.")}},function(t,i,r){"use strict";function n(t){var i=t?t.toLowerCase():"ether",r=f[i];if("string"!=typeof r)throw Error("[ethjs-unit] the unit provided "+t+" doesn't exists, please use the one of the following units "+JSON.stringify(f,null,2));return new s(r,10)}function e(t){if("string"==typeof t){if(!t.match(/^-?[0-9.]+$/))throw Error("while converting number to string, invalid number value '"+t+"', should be a number matching (^-?[0-9.]+).");return t}if("number"==typeof t)return t+"";if("object"==typeof t&&t.toString&&(t.toTwos||t.dividedToIntegerBy))return t.toPrecision?t.toPrecision()+"":t.toString(10);throw Error("while converting number to string, invalid number value '"+t+"' type "+typeof t+".")}function h(t,i,r){var e=u(t),h=e.lt(a),o=n(i),s=f[i].length-1||1,m=r||{};h&&(e=e.mul(l));for(var d=e.mod(o).toString(10);s>d.length;)d="0"+d;m.pad||(d=d.match(/^([0-9]*[1-9]|0)(0*)/)[1]);var p=e.div(o).toString(10);m.commify&&(p=p.replace(/\B(?=(\d{3})+(?!\d))/g,","));var c=""+p+("0"==d?"":"."+d);return h&&(c="-"+c),c}function o(t,i){var r=e(t),h=n(i),o=f[i].length-1||1,u="-"===r.substring(0,1);if(u&&(r=r.substring(1)),"."===r)throw Error("[ethjs-unit] while converting number "+t+" to wei, invalid value");var a=r.split(".");if(a.length>2)throw Error("[ethjs-unit] while converting number "+t+" to wei, too many decimal points");var m=a[0],d=a[1];if(m||(m="0"),d||(d="0"),d.length>o)throw Error("[ethjs-unit] while converting number "+t+" to wei, too many decimal places");for(;o>d.length;)d+="0";m=new s(m),d=new s(d);var p=m.mul(h).add(d);return u&&(p=p.mul(l)),new s(p.toString(10),10)}var s=r(2),u=r(3),a=new s(0),l=new s((-1)),f={noether:"0",wei:"1",kwei:"1000",Kwei:"1000",babbage:"1000",femtoether:"1000",mwei:"1000000",Mwei:"1000000",lovelace:"1000000",picoether:"1000000",gwei:"1000000000",Gwei:"1000000000",shannon:"1000000000",nanoether:"1000000000",nano:"1000000000",szabo:"1000000000000",microether:"1000000000000",micro:"1000000000000",finney:"1000000000000000",milliether:"1000000000000000",milli:"1000000000000000",ether:"1000000000000000000",kether:"1000000000000000000000",grand:"1000000000000000000000",mether:"1000000000000000000000000",gether:"1000000000000000000000000000",tether:"1000000000000000000000000000000"};t.exports={unitMap:f,numberToString:e,getValueOfUnit:n,fromWei:h,toWei:o}},function(t,i){"use strict";function r(t){var i=t.length;if(i%4>0)throw Error("Invalid string. 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g(){d.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function v(){d.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function M(t){if("string"==typeof t){var i=h._prime(t);this.m=i.p,this.prime=i}else n(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function w(t){M.call(this,t),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new h(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}"object"==typeof t?t.exports=h:i.BN=h,h.BN=h,h.wordSize=26;var y;try{y=r(0).Buffer}catch(b){}h.isBN=function(t){return t instanceof h||null!==t&&"object"==typeof t&&t.constructor.wordSize===h.wordSize&&Array.isArray(t.words)},h.max=function(t,i){return t.cmp(i)>0?t:i},h.min=function(t,i){return t.cmp(i)<0?t:i},h.prototype._init=function(t,i,r){if("number"==typeof t)return this._initNumber(t,i,r);if("object"==typeof t)return this._initArray(t,i,r);"hex"===i&&(i=16),n(i===(0|i)&&i>=2&&36>=i),t=(""+t).replace(/\s+/g,"");var e=0;"-"===t[0]&&e++,16===i?this._parseHex(t,e):this._parseBase(t,i,e),"-"===t[0]&&(this.negative=1),this.strip(),"le"===r&&this._initArray(this.toArray(),i,r)},h.prototype._initNumber=function(t,i,r){0>t&&(this.negative=1,t=-t),67108864>t?(this.words=[67108863&t],this.length=1):4503599627370496>t?(this.words=[67108863&t,t/67108864&67108863],this.length=2):(n(9007199254740992>t),this.words=[67108863&t,t/67108864&67108863,1],this.length=3),"le"===r&&this._initArray(this.toArray(),i,r)},h.prototype._initArray=function(t,i,r){if(n("number"==typeof t.length),0>=t.length)return this.words=[0],this.length=1,this;this.length=Math.ceil(t.length/3),this.words=Array(this.length);for(var e=0;this.length>e;e++)this.words[e]=0;var h,o,s=0;if("be"===r)for(e=t.length-1,h=0;e>=0;e-=3)o=t[e]|t[e-1]<<8|t[e-2]<<16,this.words[h]|=o<>>26-s&67108863,s+=24,26>s||(s-=26,h++);else if("le"===r)for(e=0,h=0;t.length>e;e+=3)o=t[e]|t[e+1]<<8|t[e+2]<<16,this.words[h]|=o<>>26-s&67108863,s+=24,26>s||(s-=26,h++);return this.strip()},h.prototype._parseHex=function(t,i){this.length=Math.ceil((t.length-i)/6),this.words=Array(this.length);for(var r=0;this.length>r;r++)this.words[r]=0;var n,e,h=0;for(r=t.length-6,n=0;r>=i;r-=6)e=o(t,r,r+6),this.words[n]|=e<>>26-h&4194303,h+=24,26>h||(h-=26,n++);r+6!==i&&(e=o(t,i,r+6),this.words[n]|=e<>>26-h&4194303),this.strip()},h.prototype._parseBase=function(t,i,r){this.words=[0],this.length=1;for(var n=0,e=1;67108863>=e;e*=i)n++;n--,e=e/i|0;for(var h=t.length-r,o=h%n,u=Math.min(h,h-o)+r,a=0,l=r;u>l;l+=n)a=s(t,l,l+n,i),this.imuln(e),67108864>this.words[0]+a?this.words[0]+=a:this._iaddn(a);if(0!==o){var f=1;for(a=s(t,l,t.length,i),l=0;o>l;l++)f*=i;this.imuln(f),67108864>this.words[0]+a?this.words[0]+=a:this._iaddn(a)}},h.prototype.copy=function(t){t.words=Array(this.length);for(var i=0;this.length>i;i++)t.words[i]=this.words[i];t.length=this.length,t.negative=this.negative,t.red=this.red},h.prototype.clone=function(){var t=new h(null);return this.copy(t),t},h.prototype._expand=function(t){for(;t>this.length;)this.words[this.length++]=0;return this},h.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},h.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},h.prototype.inspect=function(){return(this.red?""};var 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s=this.words[o],u=(16777215&(s<>>24-e&16777215,r=0!==h||o!==this.length-1?_[6-u.length]+u+r:u+r,e+=2,26>e||(e-=26,o--)}for(0!==h&&(r=h.toString(16)+r);r.length%i!==0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&36>=t){var a=A[t],l=R[t];r="";var f=this.clone();for(f.negative=0;!f.isZero();){var m=f.modn(l).toString(t);f=f.idivn(l),r=f.isZero()?m+r:_[a-m.length]+m+r}for(this.isZero()&&(r="0"+r);r.length%i!==0;)r="0"+r;return 0!==this.negative&&(r="-"+r),r}n(!1,"Base should be between 2 and 36")},h.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&n(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},h.prototype.toJSON=function(){return this.toString(16)},h.prototype.toBuffer=function(t,i){return n(void 0!==y),this.toArrayLike(y,t,i)},h.prototype.toArray=function(t,i){return this.toArrayLike(Array,t,i)},h.prototype.toArrayLike=function(t,i,r){var e=this.byteLength(),h=r||Math.max(1,e);n(h>=e,"byte array longer than desired length"),n(h>0,"Requested array length <= 0"),this.strip();var o,s,u="le"===i,a=new t(h),l=this.clone();if(u){for(s=0;!l.isZero();s++)o=l.andln(255),l.iushrn(8),a[s]=o;for(;h>s;s++)a[s]=0}else{for(s=0;h-e>s;s++)a[s]=0;for(s=0;!l.isZero();s++)o=l.andln(255),l.iushrn(8),a[h-s-1]=o}return a},h.prototype._countBits=Math.clz32?function(t){return 32-Math.clz32(t)}:function(t){var i=t,r=0;return 4096>i||(r+=13,i>>>=13),64>i||(r+=7,i>>>=7),8>i||(r+=4,i>>>=4),2>i||(r+=2,i>>>=2),r+i},h.prototype._zeroBits=function(t){if(0===t)return 26;var i=t,r=0;return 0===(8191&i)&&(r+=13,i>>>=13),0===(127&i)&&(r+=7,i>>>=7),0===(15&i)&&(r+=4,i>>>=4),0===(3&i)&&(r+=2,i>>>=2),0===(1&i)&&r++,r},h.prototype.bitLength=function(){var t=this.words[this.length-1],i=this._countBits(t);return 26*(this.length-1)+i},h.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,i=0;this.length>i;i++){var r=this._zeroBits(this.words[i]);if(t+=r,26!==r)break}return t},h.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},h.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},h.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},h.prototype.isNeg=function(){return 0!==this.negative},h.prototype.neg=function(){return this.clone().ineg()},h.prototype.ineg=function(){return this.isZero()||(this.negative^=1),this},h.prototype.iuor=function(t){for(;t.length>this.length;)this.words[this.length++]=0;for(var i=0;t.length>i;i++)this.words[i]=this.words[i]|t.words[i];return this.strip()},h.prototype.ior=function(t){return n(0===(this.negative|t.negative)),this.iuor(t)},h.prototype.or=function(t){return this.length>t.length?this.clone().ior(t):t.clone().ior(this)},h.prototype.uor=function(t){return this.length>t.length?this.clone().iuor(t):t.clone().iuor(this)},h.prototype.iuand=function(t){var i;i=this.length>t.length?t:this;for(var r=0;i.length>r;r++)this.words[r]=this.words[r]&t.words[r];return this.length=i.length,this.strip()},h.prototype.iand=function(t){return n(0===(this.negative|t.negative)),this.iuand(t)},h.prototype.and=function(t){return this.length>t.length?this.clone().iand(t):t.clone().iand(this)},h.prototype.uand=function(t){return this.length>t.length?this.clone().iuand(t):t.clone().iuand(this)},h.prototype.iuxor=function(t){var i,r;this.length>t.length?(i=this,r=t):(i=t,r=this);for(var n=0;r.length>n;n++)this.words[n]=i.words[n]^r.words[n];if(this!==i)for(;i.length>n;n++)this.words[n]=i.words[n];return this.length=i.length,this.strip()},h.prototype.ixor=function(t){return n(0===(this.negative|t.negative)),this.iuxor(t)},h.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},h.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},h.prototype.inotn=function(t){n("number"==typeof t&&t>=0);var i=0|Math.ceil(t/26),r=t%26;this._expand(i),r>0&&i--;for(var e=0;i>e;e++)this.words[e]=67108863&~this.words[e];return r>0&&(this.words[e]=~this.words[e]&67108863>>26-r),this.strip()},h.prototype.notn=function(t){return this.clone().inotn(t)},h.prototype.setn=function(t,i){n("number"==typeof t&&t>=0);var r=t/26|0,e=t%26;return this._expand(r+1),this.words[r]=i?this.words[r]|1<t.length?(r=this,n=t):(r=t,n=this);for(var e=0,h=0;n.length>h;h++)i=(0|r.words[h])+(0|n.words[h])+e,this.words[h]=67108863&i,e=i>>>26;for(;0!==e&&r.length>h;h++)i=(0|r.words[h])+e,this.words[h]=67108863&i,e=i>>>26;if(this.length=r.length,0!==e)this.words[this.length]=e,this.length++;else if(r!==this)for(;r.length>h;h++)this.words[h]=r.words[h];return this},h.prototype.add=function(t){var i;return 0!==t.negative&&0===this.negative?(t.negative=0,i=this.sub(t),t.negative^=1,i):0===t.negative&&0!==this.negative?(this.negative=0,i=t.sub(this),this.negative=1,i):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},h.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var i=this.iadd(t);return t.negative=1,i._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r=this.cmp(t);if(0===r)return this.negative=0,this.length=1,this.words[0]=0,this;var n,e;r>0?(n=this,e=t):(n=t,e=this);for(var h=0,o=0;e.length>o;o++)i=(0|n.words[o])-(0|e.words[o])+h,h=i>>26,this.words[o]=67108863&i;for(;0!==h&&n.length>o;o++)i=(0|n.words[o])+h,h=i>>26,this.words[o]=67108863&i;if(0===h&&n.length>o&&n!==this)for(;n.length>o;o++)this.words[o]=n.words[o];return this.length=Math.max(this.length,o),n!==this&&(this.negative=1),this.strip()},h.prototype.sub=function(t){return this.clone().isub(t)};var E=function(t,i,r){var n,e,h,o=t.words,s=i.words,u=r.words,a=0,l=0|o[0],f=8191&l,m=l>>>13,d=0|o[1],p=8191&d,c=d>>>13,g=0|o[2],v=8191&g,M=g>>>13,w=0|o[3],y=8191&w,b=w>>>13,_=0|o[4],A=8191&_,R=_>>>13,E=0|o[5],S=8191&E,B=E>>>13,x=0|o[6],k=8191&x,T=x>>>13,P=0|o[7],I=8191&P,U=P>>>13,L=0|o[8],N=8191&L,O=L>>>13,Z=0|o[9],q=8191&Z,Y=Z>>>13,C=0|s[0],j=8191&C,D=C>>>13,z=0|s[1],F=8191&z,K=z>>>13,$=0|s[2],H=8191&$,J=$>>>13,V=0|s[3],W=8191&V,X=V>>>13,G=0|s[4],Q=8191&G,tt=G>>>13,it=0|s[5],rt=8191&it,nt=it>>>13,et=0|s[6],ht=8191&et,ot=et>>>13,st=0|s[7],ut=8191&st,at=st>>>13,lt=0|s[8],ft=8191<,mt=lt>>>13,dt=0|s[9],pt=8191&dt,ct=dt>>>13;r.negative=t.negative^i.negative,r.length=19,n=Math.imul(f,j),e=Math.imul(f,D),e=e+Math.imul(m,j)|0,h=Math.imul(m,D);var gt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(p,j),e=Math.imul(p,D),e=e+Math.imul(c,j)|0,h=Math.imul(c,D),n=n+Math.imul(f,F)|0,e=e+Math.imul(f,K)|0,e=e+Math.imul(m,F)|0,h=h+Math.imul(m,K)|0;var vt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(vt>>>26)|0,vt&=67108863,n=Math.imul(v,j),e=Math.imul(v,D),e=e+Math.imul(M,j)|0,h=Math.imul(M,D),n=n+Math.imul(p,F)|0,e=e+Math.imul(p,K)|0,e=e+Math.imul(c,F)|0,h=h+Math.imul(c,K)|0,n=n+Math.imul(f,H)|0,e=e+Math.imul(f,J)|0,e=e+Math.imul(m,H)|0,h=h+Math.imul(m,J)|0;var Mt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(y,j),e=Math.imul(y,D),e=e+Math.imul(b,j)|0,h=Math.imul(b,D),n=n+Math.imul(v,F)|0,e=e+Math.imul(v,K)|0,e=e+Math.imul(M,F)|0,h=h+Math.imul(M,K)|0,n=n+Math.imul(p,H)|0,e=e+Math.imul(p,J)|0,e=e+Math.imul(c,H)|0,h=h+Math.imul(c,J)|0,n=n+Math.imul(f,W)|0,e=e+Math.imul(f,X)|0,e=e+Math.imul(m,W)|0,h=h+Math.imul(m,X)|0;var wt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(A,j),e=Math.imul(A,D),e=e+Math.imul(R,j)|0,h=Math.imul(R,D),n=n+Math.imul(y,F)|0,e=e+Math.imul(y,K)|0,e=e+Math.imul(b,F)|0,h=h+Math.imul(b,K)|0,n=n+Math.imul(v,H)|0,e=e+Math.imul(v,J)|0,e=e+Math.imul(M,H)|0,h=h+Math.imul(M,J)|0,n=n+Math.imul(p,W)|0,e=e+Math.imul(p,X)|0,e=e+Math.imul(c,W)|0,h=h+Math.imul(c,X)|0,n=n+Math.imul(f,Q)|0,e=e+Math.imul(f,tt)|0,e=e+Math.imul(m,Q)|0,h=h+Math.imul(m,tt)|0;var yt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(yt>>>26)|0,yt&=67108863,n=Math.imul(S,j),e=Math.imul(S,D),e=e+Math.imul(B,j)|0,h=Math.imul(B,D),n=n+Math.imul(A,F)|0,e=e+Math.imul(A,K)|0,e=e+Math.imul(R,F)|0,h=h+Math.imul(R,K)|0,n=n+Math.imul(y,H)|0,e=e+Math.imul(y,J)|0,e=e+Math.imul(b,H)|0,h=h+Math.imul(b,J)|0,n=n+Math.imul(v,W)|0,e=e+Math.imul(v,X)|0,e=e+Math.imul(M,W)|0,h=h+Math.imul(M,X)|0,n=n+Math.imul(p,Q)|0,e=e+Math.imul(p,tt)|0,e=e+Math.imul(c,Q)|0,h=h+Math.imul(c,tt)|0,n=n+Math.imul(f,rt)|0,e=e+Math.imul(f,nt)|0,e=e+Math.imul(m,rt)|0,h=h+Math.imul(m,nt)|0;var bt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(k,j),e=Math.imul(k,D),e=e+Math.imul(T,j)|0,h=Math.imul(T,D),n=n+Math.imul(S,F)|0,e=e+Math.imul(S,K)|0,e=e+Math.imul(B,F)|0,h=h+Math.imul(B,K)|0,n=n+Math.imul(A,H)|0,e=e+Math.imul(A,J)|0,e=e+Math.imul(R,H)|0,h=h+Math.imul(R,J)|0,n=n+Math.imul(y,W)|0,e=e+Math.imul(y,X)|0,e=e+Math.imul(b,W)|0,h=h+Math.imul(b,X)|0,n=n+Math.imul(v,Q)|0,e=e+Math.imul(v,tt)|0,e=e+Math.imul(M,Q)|0,h=h+Math.imul(M,tt)|0,n=n+Math.imul(p,rt)|0,e=e+Math.imul(p,nt)|0,e=e+Math.imul(c,rt)|0,h=h+Math.imul(c,nt)|0,n=n+Math.imul(f,ht)|0,e=e+Math.imul(f,ot)|0,e=e+Math.imul(m,ht)|0,h=h+Math.imul(m,ot)|0;var _t=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(I,j),e=Math.imul(I,D),e=e+Math.imul(U,j)|0,h=Math.imul(U,D),n=n+Math.imul(k,F)|0,e=e+Math.imul(k,K)|0,e=e+Math.imul(T,F)|0,h=h+Math.imul(T,K)|0,n=n+Math.imul(S,H)|0,e=e+Math.imul(S,J)|0,e=e+Math.imul(B,H)|0,h=h+Math.imul(B,J)|0,n=n+Math.imul(A,W)|0,e=e+Math.imul(A,X)|0,e=e+Math.imul(R,W)|0,h=h+Math.imul(R,X)|0,n=n+Math.imul(y,Q)|0,e=e+Math.imul(y,tt)|0,e=e+Math.imul(b,Q)|0,h=h+Math.imul(b,tt)|0,n=n+Math.imul(v,rt)|0,e=e+Math.imul(v,nt)|0,e=e+Math.imul(M,rt)|0,h=h+Math.imul(M,nt)|0,n=n+Math.imul(p,ht)|0,e=e+Math.imul(p,ot)|0,e=e+Math.imul(c,ht)|0,h=h+Math.imul(c,ot)|0,n=n+Math.imul(f,ut)|0,e=e+Math.imul(f,at)|0,e=e+Math.imul(m,ut)|0,h=h+Math.imul(m,at)|0;var At=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(N,j),e=Math.imul(N,D),e=e+Math.imul(O,j)|0,h=Math.imul(O,D),n=n+Math.imul(I,F)|0,e=e+Math.imul(I,K)|0,e=e+Math.imul(U,F)|0,h=h+Math.imul(U,K)|0,n=n+Math.imul(k,H)|0,e=e+Math.imul(k,J)|0,e=e+Math.imul(T,H)|0,h=h+Math.imul(T,J)|0,n=n+Math.imul(S,W)|0,e=e+Math.imul(S,X)|0,e=e+Math.imul(B,W)|0,h=h+Math.imul(B,X)|0,n=n+Math.imul(A,Q)|0,e=e+Math.imul(A,tt)|0,e=e+Math.imul(R,Q)|0,h=h+Math.imul(R,tt)|0,n=n+Math.imul(y,rt)|0,e=e+Math.imul(y,nt)|0,e=e+Math.imul(b,rt)|0,h=h+Math.imul(b,nt)|0,n=n+Math.imul(v,ht)|0,e=e+Math.imul(v,ot)|0,e=e+Math.imul(M,ht)|0,h=h+Math.imul(M,ot)|0,n=n+Math.imul(p,ut)|0,e=e+Math.imul(p,at)|0,e=e+Math.imul(c,ut)|0,h=h+Math.imul(c,at)|0,n=n+Math.imul(f,ft)|0,e=e+Math.imul(f,mt)|0,e=e+Math.imul(m,ft)|0,h=h+Math.imul(m,mt)|0;var Rt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(q,j),e=Math.imul(q,D),e=e+Math.imul(Y,j)|0,h=Math.imul(Y,D),n=n+Math.imul(N,F)|0,e=e+Math.imul(N,K)|0,e=e+Math.imul(O,F)|0,h=h+Math.imul(O,K)|0,n=n+Math.imul(I,H)|0,e=e+Math.imul(I,J)|0,e=e+Math.imul(U,H)|0,h=h+Math.imul(U,J)|0,n=n+Math.imul(k,W)|0,e=e+Math.imul(k,X)|0,e=e+Math.imul(T,W)|0,h=h+Math.imul(T,X)|0,n=n+Math.imul(S,Q)|0,e=e+Math.imul(S,tt)|0,e=e+Math.imul(B,Q)|0,h=h+Math.imul(B,tt)|0,n=n+Math.imul(A,rt)|0,e=e+Math.imul(A,nt)|0,e=e+Math.imul(R,rt)|0,h=h+Math.imul(R,nt)|0,n=n+Math.imul(y,ht)|0,e=e+Math.imul(y,ot)|0,e=e+Math.imul(b,ht)|0,h=h+Math.imul(b,ot)|0,n=n+Math.imul(v,ut)|0,e=e+Math.imul(v,at)|0,e=e+Math.imul(M,ut)|0,h=h+Math.imul(M,at)|0,n=n+Math.imul(p,ft)|0,e=e+Math.imul(p,mt)|0,e=e+Math.imul(c,ft)|0,h=h+Math.imul(c,mt)|0,n=n+Math.imul(f,pt)|0,e=e+Math.imul(f,ct)|0,e=e+Math.imul(m,pt)|0,h=h+Math.imul(m,ct)|0;var Et=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(q,F),e=Math.imul(q,K),e=e+Math.imul(Y,F)|0,h=Math.imul(Y,K),n=n+Math.imul(N,H)|0,e=e+Math.imul(N,J)|0,e=e+Math.imul(O,H)|0,h=h+Math.imul(O,J)|0,n=n+Math.imul(I,W)|0,e=e+Math.imul(I,X)|0,e=e+Math.imul(U,W)|0,h=h+Math.imul(U,X)|0,n=n+Math.imul(k,Q)|0,e=e+Math.imul(k,tt)|0,e=e+Math.imul(T,Q)|0,h=h+Math.imul(T,tt)|0,n=n+Math.imul(S,rt)|0,e=e+Math.imul(S,nt)|0,e=e+Math.imul(B,rt)|0,h=h+Math.imul(B,nt)|0,n=n+Math.imul(A,ht)|0,e=e+Math.imul(A,ot)|0,e=e+Math.imul(R,ht)|0,h=h+Math.imul(R,ot)|0,n=n+Math.imul(y,ut)|0,e=e+Math.imul(y,at)|0,e=e+Math.imul(b,ut)|0,h=h+Math.imul(b,at)|0,n=n+Math.imul(v,ft)|0,e=e+Math.imul(v,mt)|0,e=e+Math.imul(M,ft)|0,h=h+Math.imul(M,mt)|0,n=n+Math.imul(p,pt)|0,e=e+Math.imul(p,ct)|0,e=e+Math.imul(c,pt)|0,h=h+Math.imul(c,ct)|0;var St=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(q,H),e=Math.imul(q,J),e=e+Math.imul(Y,H)|0,h=Math.imul(Y,J),n=n+Math.imul(N,W)|0,e=e+Math.imul(N,X)|0,e=e+Math.imul(O,W)|0,h=h+Math.imul(O,X)|0,n=n+Math.imul(I,Q)|0,e=e+Math.imul(I,tt)|0,e=e+Math.imul(U,Q)|0,h=h+Math.imul(U,tt)|0,n=n+Math.imul(k,rt)|0,e=e+Math.imul(k,nt)|0,e=e+Math.imul(T,rt)|0,h=h+Math.imul(T,nt)|0,n=n+Math.imul(S,ht)|0,e=e+Math.imul(S,ot)|0,e=e+Math.imul(B,ht)|0,h=h+Math.imul(B,ot)|0,n=n+Math.imul(A,ut)|0,e=e+Math.imul(A,at)|0,e=e+Math.imul(R,ut)|0,h=h+Math.imul(R,at)|0,n=n+Math.imul(y,ft)|0,e=e+Math.imul(y,mt)|0,e=e+Math.imul(b,ft)|0,h=h+Math.imul(b,mt)|0,n=n+Math.imul(v,pt)|0,e=e+Math.imul(v,ct)|0,e=e+Math.imul(M,pt)|0,h=h+Math.imul(M,ct)|0;var Bt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(q,W),e=Math.imul(q,X),e=e+Math.imul(Y,W)|0,h=Math.imul(Y,X),n=n+Math.imul(N,Q)|0,e=e+Math.imul(N,tt)|0,e=e+Math.imul(O,Q)|0,h=h+Math.imul(O,tt)|0,n=n+Math.imul(I,rt)|0,e=e+Math.imul(I,nt)|0,e=e+Math.imul(U,rt)|0,h=h+Math.imul(U,nt)|0,n=n+Math.imul(k,ht)|0,e=e+Math.imul(k,ot)|0,e=e+Math.imul(T,ht)|0,h=h+Math.imul(T,ot)|0,n=n+Math.imul(S,ut)|0,e=e+Math.imul(S,at)|0,e=e+Math.imul(B,ut)|0,h=h+Math.imul(B,at)|0,n=n+Math.imul(A,ft)|0,e=e+Math.imul(A,mt)|0,e=e+Math.imul(R,ft)|0,h=h+Math.imul(R,mt)|0,n=n+Math.imul(y,pt)|0,e=e+Math.imul(y,ct)|0,e=e+Math.imul(b,pt)|0,h=h+Math.imul(b,ct)|0;var xt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(q,Q),e=Math.imul(q,tt),e=e+Math.imul(Y,Q)|0,h=Math.imul(Y,tt),n=n+Math.imul(N,rt)|0,e=e+Math.imul(N,nt)|0,e=e+Math.imul(O,rt)|0,h=h+Math.imul(O,nt)|0,n=n+Math.imul(I,ht)|0,e=e+Math.imul(I,ot)|0,e=e+Math.imul(U,ht)|0,h=h+Math.imul(U,ot)|0,n=n+Math.imul(k,ut)|0,e=e+Math.imul(k,at)|0,e=e+Math.imul(T,ut)|0,h=h+Math.imul(T,at)|0,n=n+Math.imul(S,ft)|0,e=e+Math.imul(S,mt)|0,e=e+Math.imul(B,ft)|0,h=h+Math.imul(B,mt)|0,n=n+Math.imul(A,pt)|0,e=e+Math.imul(A,ct)|0,e=e+Math.imul(R,pt)|0,h=h+Math.imul(R,ct)|0;var kt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(q,rt),e=Math.imul(q,nt),e=e+Math.imul(Y,rt)|0,h=Math.imul(Y,nt),n=n+Math.imul(N,ht)|0,e=e+Math.imul(N,ot)|0,e=e+Math.imul(O,ht)|0,h=h+Math.imul(O,ot)|0,n=n+Math.imul(I,ut)|0,e=e+Math.imul(I,at)|0,e=e+Math.imul(U,ut)|0,h=h+Math.imul(U,at)|0,n=n+Math.imul(k,ft)|0,e=e+Math.imul(k,mt)|0,e=e+Math.imul(T,ft)|0,h=h+Math.imul(T,mt)|0,n=n+Math.imul(S,pt)|0,e=e+Math.imul(S,ct)|0,e=e+Math.imul(B,pt)|0,h=h+Math.imul(B,ct)|0;var Tt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,n=Math.imul(q,ht),e=Math.imul(q,ot),e=e+Math.imul(Y,ht)|0,h=Math.imul(Y,ot),n=n+Math.imul(N,ut)|0,e=e+Math.imul(N,at)|0,e=e+Math.imul(O,ut)|0,h=h+Math.imul(O,at)|0,n=n+Math.imul(I,ft)|0,e=e+Math.imul(I,mt)|0,e=e+Math.imul(U,ft)|0,h=h+Math.imul(U,mt)|0,n=n+Math.imul(k,pt)|0,e=e+Math.imul(k,ct)|0,e=e+Math.imul(T,pt)|0,h=h+Math.imul(T,ct)|0;var Pt=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(q,ut),e=Math.imul(q,at),e=e+Math.imul(Y,ut)|0,h=Math.imul(Y,at),n=n+Math.imul(N,ft)|0,e=e+Math.imul(N,mt)|0,e=e+Math.imul(O,ft)|0,h=h+Math.imul(O,mt)|0,n=n+Math.imul(I,pt)|0,e=e+Math.imul(I,ct)|0,e=e+Math.imul(U,pt)|0,h=h+Math.imul(U,ct)|0;var It=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(It>>>26)|0,It&=67108863,n=Math.imul(q,ft),e=Math.imul(q,mt),e=e+Math.imul(Y,ft)|0,h=Math.imul(Y,mt),n=n+Math.imul(N,pt)|0,e=e+Math.imul(N,ct)|0,e=e+Math.imul(O,pt)|0,h=h+Math.imul(O,ct)|0;var Ut=(a+n|0)+((8191&e)<<13)|0;a=(h+(e>>>13)|0)+(Ut>>>26)|0,Ut&=67108863,n=Math.imul(q,pt),e=Math.imul(q,ct),e=e+Math.imul(Y,pt)|0,h=Math.imul(Y,ct);var Lt=(a+n|0)+((8191&e)<<13)|0;return a=(h+(e>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,u[0]=gt,u[1]=vt,u[2]=Mt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=At,u[8]=Rt,u[9]=Et,u[10]=St,u[11]=Bt,u[12]=xt,u[13]=kt,u[14]=Tt,u[15]=Pt,u[16]=It,u[17]=Ut,u[18]=Lt,0!==a&&(u[19]=a,r.length++),r};Math.imul||(E=a),h.prototype.mulTo=function(t,i){var r,n=this.length+t.length;return r=10===this.length&&10===t.length?E(this,t,i):63>n?a(this,t,i):1024>n?l(this,t,i):f(this,t,i)},m.prototype.makeRBT=function(t){for(var i=Array(t),r=h.prototype._countBits(t)-1,n=0;t>n;n++)i[n]=this.revBin(n,r,t);return i},m.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var n=0,e=0;i>e;e++)n|=(1&t)<>=1;return n},m.prototype.permute=function(t,i,r,n,e,h){for(var o=0;h>o;o++)n[o]=i[t[o]],e[o]=r[t[o]]},m.prototype.transform=function(t,i,r,n,e,h){this.permute(h,t,i,r,n,e);for(var o=1;e>o;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;e>l;l+=s)for(var f=u,m=a,d=0;o>d;d++){var p=r[l+d],c=n[l+d],g=r[l+d+o],v=n[l+d+o],M=f*g-m*v;v=f*v+m*g,g=M,r[l+d]=p+g,n[l+d]=c+v,r[l+d+o]=p-g,n[l+d+o]=c-v,d!==s&&(M=u*f-a*m,m=u*m+a*f,f=M)}},m.prototype.guessLen13b=function(t,i){var r=1|Math.max(i,t),n=1&r,e=0;for(r=r/2|0;r;r>>>=1)e++;return 1<1)for(var n=0;r/2>n;n++){var e=t[n];t[n]=t[r-n-1],t[r-n-1]=e,e=i[n],i[n]=-i[r-n-1],i[r-n-1]=-e}},m.prototype.normalize13b=function(t,i){for(var r=0,n=0;i/2>n;n++){var e=8192*Math.round(t[2*n+1]/i)+Math.round(t[2*n]/i)+r;t[n]=67108863&e,r=67108864>e?0:e/67108864|0}return t},m.prototype.convert13b=function(t,i,r,e){for(var h=0,o=0;i>o;o++)h+=0|t[o],r[2*o]=8191&h,h>>>=13,r[2*o+1]=8191&h,h>>>=13;for(o=2*i;e>o;++o)r[o]=0;n(0===h),n(0===(h&-8192))},m.prototype.stub=function(t){for(var i=Array(t),r=0;t>r;r++)i[r]=0;return i},m.prototype.mulp=function(t,i,r){var n=2*this.guessLen13b(t.length,i.length),e=this.makeRBT(n),h=this.stub(n),o=Array(n),s=Array(n),u=Array(n),a=Array(n),l=Array(n),f=Array(n),m=r.words;m.length=n,this.convert13b(t.words,t.length,o,n),this.convert13b(i.words,i.length,a,n),this.transform(o,h,s,u,n,e),this.transform(a,h,l,f,n,e);for(var d=0;n>d;d++){var p=s[d]*l[d]-u[d]*f[d];u[d]=s[d]*f[d]+u[d]*l[d],s[d]=p}return this.conjugate(s,u,n),this.transform(s,u,m,h,n,e),this.conjugate(m,h,n),this.normalize13b(m,n),r.negative=t.negative^i.negative,r.length=t.length+i.length,r.strip()},h.prototype.mul=function(t){var i=new h(null);return i.words=Array(this.length+t.length),this.mulTo(t,i)},h.prototype.mulf=function(t){var i=new h(null);return i.words=Array(this.length+t.length),f(this,t,i)},h.prototype.imul=function(t){return this.clone().mulTo(t,this)},h.prototype.imuln=function(t){n("number"==typeof t),n(67108864>t);for(var i=0,r=0;this.length>r;r++){var e=(0|this.words[r])*t,h=(67108863&e)+(67108863&i);i>>=26,i+=e/67108864|0,i+=h>>>26,this.words[r]=67108863&h}return 0!==i&&(this.words[r]=i,this.length++),this},h.prototype.muln=function(t){return this.clone().imuln(t)},h.prototype.sqr=function(){return this.mul(this)},h.prototype.isqr=function(){return this.imul(this.clone())},h.prototype.pow=function(t){var i=u(t);if(0===i.length)return new h(1);for(var r=this,n=0;i.length>n&&0===i[n];n++, +r=r.sqr());if(++nn;n++,e=e.sqr())0!==i[n]&&(r=r.mul(e));return r},h.prototype.iushln=function(t){n("number"==typeof t&&t>=0);var i,r=t%26,e=(t-r)/26,h=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(i=0;this.length>i;i++){var s=this.words[i]&h,u=(0|this.words[i])-s<>>26-r}o&&(this.words[i]=o,this.length++)}if(0!==e){for(i=this.length-1;i>=0;i--)this.words[i+e]=this.words[i];for(i=0;e>i;i++)this.words[i]=0;this.length+=e}return this.strip()},h.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},h.prototype.iushrn=function(t,i,r){n("number"==typeof t&&t>=0);var e;e=i?(i-i%26)/26:0;var h=t%26,o=Math.min((t-h)/26,this.length),s=67108863^67108863>>>h<a;a++)u.words[a]=this.words[a];u.length=o}if(0===o);else if(this.length>o)for(this.length-=o,a=0;this.length>a;a++)this.words[a]=this.words[a+o];else this.words[0]=0,this.length=1;var l=0;for(a=this.length-1;!(0>a||0===l&&e>a);a--){var f=0|this.words[a];this.words[a]=l<<26-h|f>>>h,l=f&s}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},h.prototype.ishrn=function(t,i,r){return n(0===this.negative),this.iushrn(t,i,r)},h.prototype.shln=function(t){return this.clone().ishln(t)},h.prototype.ushln=function(t){return this.clone().iushln(t)},h.prototype.shrn=function(t){return this.clone().ishrn(t)},h.prototype.ushrn=function(t){return this.clone().iushrn(t)},h.prototype.testn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,e=1<=this.length)return!1;var h=this.words[r];return!!(h&e)},h.prototype.imaskn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26;if(n(0===this.negative,"imaskn works only with positive numbers"),r>=this.length)return this;if(0!==i&&r++,this.length=Math.min(r,this.length),0!==i){var e=67108863^67108863>>>i<t),0>t?this.isubn(-t):0!==this.negative?1===this.length&&t>(0|this.words[0])?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},h.prototype._iaddn=function(t){this.words[0]+=t;for(var i=0;this.length>i&&this.words[i]>=67108864;i++)this.words[i]-=67108864,i===this.length-1?this.words[i+1]=1:this.words[i+1]++;return this.length=Math.max(this.length,i+1),this},h.prototype.isubn=function(t){if(n("number"==typeof t),n(67108864>t),0>t)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&0>this.words[0])this.words[0]=-this.words[0],this.negative=1;else for(var i=0;this.length>i&&0>this.words[i];i++)this.words[i]+=67108864,this.words[i+1]-=1;return this.strip()},h.prototype.addn=function(t){return this.clone().iaddn(t)},h.prototype.subn=function(t){return this.clone().isubn(t)},h.prototype.iabs=function(){return this.negative=0,this},h.prototype.abs=function(){return this.clone().iabs()},h.prototype._ishlnsubmul=function(t,i,r){var e,h=t.length+r;this._expand(h);var o,s=0;for(e=0;t.length>e;e++){o=(0|this.words[e+r])+s;var u=(0|t.words[e])*i;o-=67108863&u,s=(o>>26)-(u/67108864|0),this.words[e+r]=67108863&o}for(;this.length-r>e;e++)o=(0|this.words[e+r])+s,s=o>>26,this.words[e+r]=67108863&o;if(0===s)return this.strip();for(n(s===-1),s=0,e=0;this.length>e;e++)o=-(0|this.words[e])+s,s=o>>26,this.words[e]=67108863&o;return this.negative=1,this.strip()},h.prototype._wordDiv=function(t,i){var r=this.length-t.length,n=this.clone(),e=t,o=0|e.words[e.length-1],s=this._countBits(o);r=26-s,0!==r&&(e=e.ushln(r),n.iushln(r),o=0|e.words[e.length-1]);var u,a=n.length-e.length;if("mod"!==i){u=new h(null),u.length=a+1,u.words=Array(u.length);for(var l=0;u.length>l;l++)u.words[l]=0}var f=n.clone()._ishlnsubmul(e,1,a);0===f.negative&&(n=f,u&&(u.words[a]=1));for(var m=a-1;m>=0;m--){var d=67108864*(0|n.words[e.length+m])+(0|n.words[e.length+m-1]);for(d=Math.min(d/o|0,67108863),n._ishlnsubmul(e,d,m);0!==n.negative;)d--,n.negative=0,n._ishlnsubmul(e,1,m),n.isZero()||(n.negative^=1);u&&(u.words[m]=d)}return u&&u.strip(),n.strip(),"div"!==i&&0!==r&&n.iushrn(r),{div:u||null,mod:n}},h.prototype.divmod=function(t,i,r){if(n(!t.isZero()),this.isZero())return{div:new h(0),mod:new h(0)};var e,o,s;return 0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,i),"mod"!==i&&(e=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:e,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(e=s.div.neg()),{div:e,mod:s.mod}):0!==(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),i),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:s.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new h(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new h(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new h(this.modn(t.words[0]))}:this._wordDiv(t,i)},h.prototype.div=function(t){return this.divmod(t,"div",!1).div},h.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},h.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},h.prototype.divRound=function(t){var i=this.divmod(t);if(i.mod.isZero())return i.div;var r=0!==i.div.negative?i.mod.isub(t):i.mod,n=t.ushrn(1),e=t.andln(1),h=r.cmp(n);return 0>h||1===e&&0===h?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},h.prototype.modn=function(t){n(67108863>=t);for(var i=(1<<26)%t,r=0,e=this.length-1;e>=0;e--)r=(i*r+(0|this.words[e]))%t;return r},h.prototype.idivn=function(t){n(67108863>=t);for(var i=0,r=this.length-1;r>=0;r--){var e=(0|this.words[r])+67108864*i;this.words[r]=e/t|0,i=e%t}return this.strip()},h.prototype.divn=function(t){return this.clone().idivn(t)},h.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e=new h(1),o=new h(0),s=new h(0),u=new h(1),a=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++a;for(var l=r.clone(),f=i.clone();!i.isZero();){for(var m=0,d=1;0===(i.words[0]&d)&&26>m;++m,d<<=1);if(m>0)for(i.iushrn(m);m-- >0;)(e.isOdd()||o.isOdd())&&(e.iadd(l),o.isub(f)),e.iushrn(1),o.iushrn(1);for(var p=0,c=1;0===(r.words[0]&c)&&26>p;++p,c<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(l),u.isub(f)),s.iushrn(1),u.iushrn(1);i.cmp(r)<0?(r.isub(i),s.isub(e),u.isub(o)):(i.isub(r),e.isub(s),o.isub(u))}return{a:s,b:u,gcd:r.iushln(a)}},h.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e=new h(1),o=new h(0),s=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var u=0,a=1;0===(i.words[0]&a)&&26>u;++u,a<<=1);if(u>0)for(i.iushrn(u);u-- >0;)e.isOdd()&&e.iadd(s),e.iushrn(1);for(var l=0,f=1;0===(r.words[0]&f)&&26>l;++l,f<<=1);if(l>0)for(r.iushrn(l);l-- >0;)o.isOdd()&&o.iadd(s),o.iushrn(1);i.cmp(r)<0?(r.isub(i),o.isub(e)):(i.isub(r),e.isub(o))}var m;return m=0===i.cmpn(1)?e:o,m.cmpn(0)<0&&m.iadd(t),m},h.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var i=this.clone(),r=t.clone();i.negative=0,r.negative=0;for(var n=0;i.isEven()&&r.isEven();n++)i.iushrn(1),r.iushrn(1);for(;;){for(;i.isEven();)i.iushrn(1);for(;r.isEven();)r.iushrn(1);var e=i.cmp(r);if(0>e){var h=i;i=r,r=h}else if(0===e||0===r.cmpn(1))break;i.isub(r)}return r.iushln(n)},h.prototype.invm=function(t){return this.egcd(t).a.umod(t)},h.prototype.isEven=function(){return 0===(1&this.words[0])},h.prototype.isOdd=function(){return 1===(1&this.words[0])},h.prototype.andln=function(t){return this.words[0]&t},h.prototype.bincn=function(t){n("number"==typeof t);var i=t%26,r=(t-i)/26,e=1<=this.length)return this._expand(r+1),this.words[r]|=e,this;for(var h=e,o=r;0!==h&&this.length>o;o++){var s=0|this.words[o];s+=h,h=s>>>26,s&=67108863,this.words[o]=s}return 0!==h&&(this.words[o]=h,this.length++),this},h.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},h.prototype.cmpn=function(t){var i=0>t;if(0!==this.negative&&!i)return-1;if(0===this.negative&&i)return 1;this.strip();var r;if(this.length>1)r=1;else{i&&(t=-t),n(67108863>=t,"Number is too big");var e=0|this.words[0];r=e===t?0:t>e?-1:1}return 0!==this.negative?0|-r:r},h.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var i=this.ucmp(t);return 0!==this.negative?0|-i:i},h.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(t.length>this.length)return-1;for(var i=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],e=0|t.words[r];if(n!==e){e>n?i=-1:n>e&&(i=1);break}}return i},h.prototype.gtn=function(t){return 1===this.cmpn(t)},h.prototype.gt=function(t){return 1===this.cmp(t)},h.prototype.gten=function(t){return this.cmpn(t)>=0},h.prototype.gte=function(t){return this.cmp(t)>=0},h.prototype.ltn=function(t){return this.cmpn(t)===-1},h.prototype.lt=function(t){return this.cmp(t)===-1},h.prototype.lten=function(t){return this.cmpn(t)<=0},h.prototype.lte=function(t){return this.cmp(t)<=0},h.prototype.eqn=function(t){return 0===this.cmpn(t)},h.prototype.eq=function(t){return 0===this.cmp(t)},h.red=function(t){return new M(t)},h.prototype.toRed=function(t){return n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},h.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},h.prototype._forceRed=function(t){return this.red=t,this},h.prototype.forceRed=function(t){return n(!this.red,"Already a number in reduction context"),this._forceRed(t)},h.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},h.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},h.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},h.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},h.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},h.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},h.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},h.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},h.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},h.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},h.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},h.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},h.prototype.redPow=function(t){return n(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var S={k256:null,p224:null,p192:null,p25519:null};d.prototype._tmp=function(){var t=new h(null);return t.words=Array(Math.ceil(this.n/13)),t},d.prototype.ireduce=function(t){var i,r=t;do this.split(r,this.tmp),r=this.imulK(r),r=r.iadd(this.tmp),i=r.bitLength();while(i>this.n);var n=this.n>i?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):r.strip(),r},d.prototype.split=function(t,i){t.iushrn(this.n,0,i)},d.prototype.imulK=function(t){return t.imul(this.k)},e(p,d),p.prototype.split=function(t,i){for(var r=4194303,n=Math.min(t.length,9),e=0;n>e;e++)i.words[e]=t.words[e];if(i.length=n,9>=t.length)return t.words[0]=0,void(t.length=1);var h=t.words[9];for(i.words[i.length++]=h&r,e=10;t.length>e;e++){var o=0|t.words[e];t.words[e-10]=(o&r)<<4|h>>>22,h=o}h>>>=22,t.words[e-10]=h,t.length-=0===h&&t.length>10?10:9},p.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var i=0,r=0;t.length>r;r++){var n=0|t.words[r];i+=977*n,t.words[r]=67108863&i,i=64*n+(i/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},e(c,d),e(g,d),e(v,d),v.prototype.imulK=function(t){for(var i=0,r=0;t.length>r;r++){var n=19*(0|t.words[r])+i,e=67108863&n;n>>>=26,t.words[r]=e,i=n}return 0!==i&&(t.words[t.length++]=i),t},h._prime=function B(t){if(S[t])return S[t];var B;if("k256"===t)B=new p;else if("p224"===t)B=new c;else if("p192"===t)B=new g;else{if("p25519"!==t)throw Error("Unknown prime "+t);B=new v}return S[t]=B,B},M.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},M.prototype._verify2=function(t,i){n(0===(t.negative|i.negative),"red works only with positives"),n(t.red&&t.red===i.red,"red works only with red numbers")},M.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},M.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},M.prototype.add=function(t,i){this._verify2(t,i);var r=t.add(i);return r.cmp(this.m)<0||r.isub(this.m),r._forceRed(this)},M.prototype.iadd=function(t,i){this._verify2(t,i);var r=t.iadd(i);return r.cmp(this.m)<0||r.isub(this.m),r},M.prototype.sub=function(t,i){this._verify2(t,i);var r=t.sub(i);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},M.prototype.isub=function(t,i){this._verify2(t,i);var r=t.isub(i);return r.cmpn(0)<0&&r.iadd(this.m),r},M.prototype.shl=function(t,i){return this._verify1(t),this.imod(t.ushln(i))},M.prototype.imul=function(t,i){return this._verify2(t,i),this.imod(t.imul(i))},M.prototype.mul=function(t,i){return this._verify2(t,i),this.imod(t.mul(i))},M.prototype.isqr=function(t){return this.imul(t,t.clone())},M.prototype.sqr=function(t){return this.mul(t,t)},M.prototype.sqrt=function(t){if(t.isZero())return t.clone();var i=this.m.andln(3);if(n(i%2===1),3===i){var r=this.m.add(new h(1)).iushrn(2);return this.pow(t,r)}for(var e=this.m.subn(1),o=0;!e.isZero()&&0===e.andln(1);)o++,e.iushrn(1);n(!e.isZero());var s=new h(1).toRed(this),u=s.redNeg(),a=this.m.subn(1).iushrn(1),l=this.m.bitLength();for(l=new h(2*l*l).toRed(this);0!==this.pow(l,a).cmp(u);)l.redIAdd(u);for(var f=this.pow(l,e),m=this.pow(t,e.addn(1).iushrn(1)),d=this.pow(t,e),p=o;0!==d.cmp(s);){for(var c=d,g=0;0!==c.cmp(s);g++)c=c.redSqr();n(p>g);var v=this.pow(f,new h(1).iushln(p-g-1));m=m.redMul(v),f=v.redSqr(),d=d.redMul(f),p=g}return m},M.prototype.invm=function(t){var i=t._invmp(this.m);return 0!==i.negative?(i.negative=0,this.imod(i).redNeg()):this.imod(i)},M.prototype.pow=function(t,i){if(i.isZero())return new h(1);if(0===i.cmpn(1))return t.clone();var r=4,n=Array(1<e;e++)n[e]=this.mul(n[e-1],t);var o=n[0],s=0,u=0,a=i.bitLength()%26;for(0===a&&(a=26),e=i.length-1;e>=0;e--){for(var l=i.words[e],f=a-1;f>=0;f--){var m=l>>f&1;o!==n[0]&&(o=this.sqr(o)),0!==m||0!==s?(s<<=1,s|=m,u++,(u===r||0===e&&0===f)&&(o=this.mul(o,n[s]),u=0,s=0)):u=0}a=26}return o},M.prototype.convertTo=function(t){var i=t.umod(this.m);return i===t?i.clone():i},M.prototype.convertFrom=function(t){var i=t.clone();return i.red=null,i},h.mont=function(t){return new w(t)},e(w,M),w.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},w.prototype.convertFrom=function(t){var i=this.imod(t.mul(this.rinv));return i.red=null,i},w.prototype.imul=function(t,i){if(t.isZero()||i.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(i),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),h=e;return e.cmp(this.m)<0?e.cmpn(0)<0&&(h=e.iadd(this.m)):h=e.isub(this.m),h._forceRed(this)},w.prototype.mul=function(t,i){if(t.isZero()||i.isZero())return new h(0)._forceRed(this);var r=t.mul(i),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),o=e;return e.cmp(this.m)<0?e.cmpn(0)<0&&(o=e.iadd(this.m)):o=e.isub(this.m),o._forceRed(this)},w.prototype.invm=function(t){var i=this.imod(t._invmp(this.m).mul(this.r2));return i._forceRed(this)}}(void 0===t||t,this)}).call(i,r(1)(t))},function(t,i,r){var n=r(7);t.exports=function(t){return"string"!=typeof t?t:n(t)?t.slice(2):t}},function(t,i){var r;r=function(){return this}();try{r=r||Function("return this")()||(0,eval)("this")}catch(n){"object"==typeof window&&(r=window)}t.exports=r},function(t,i){}])}); \ No newline at end of file