mirror of
https://github.com/tornadocash/provider.git
synced 2024-11-22 17:50:02 +01:00
5836 lines
150 KiB
JavaScript
5836 lines
150 KiB
JavaScript
/* eslint-disable */
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(function webpackUniversalModuleDefinition(root, factory) {
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if(typeof exports === 'object' && typeof module === 'object')
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module.exports = factory();
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else if(typeof define === 'function' && define.amd)
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define("ethUnit", [], factory);
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else if(typeof exports === 'object')
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exports["ethUnit"] = factory();
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else
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root["ethUnit"] = factory();
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})(this, function() {
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return /******/ (function(modules) { // webpackBootstrap
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/******/ // The module cache
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/******/ var installedModules = {};
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/******/ // The require function
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/******/ function __webpack_require__(moduleId) {
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/******/ // Check if module is in cache
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/******/ if(installedModules[moduleId])
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/******/ return installedModules[moduleId].exports;
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/******/ // Create a new module (and put it into the cache)
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/******/ var module = installedModules[moduleId] = {
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/******/ i: moduleId,
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/******/ l: false,
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/******/ exports: {}
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/******/ };
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/******/ // Execute the module function
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/******/ modules[moduleId].call(module.exports, module, module.exports, __webpack_require__);
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/******/ // Flag the module as loaded
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/******/ module.l = true;
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/******/ // Return the exports of the module
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/******/ return module.exports;
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/******/ }
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/******/ // expose the modules object (__webpack_modules__)
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/******/ __webpack_require__.m = modules;
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/******/ // expose the module cache
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/******/ __webpack_require__.c = installedModules;
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/******/ // identity function for calling harmory imports with the correct context
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/******/ __webpack_require__.i = function(value) { return value; };
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/******/ // define getter function for harmory exports
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/******/ __webpack_require__.d = function(exports, name, getter) {
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/******/ Object.defineProperty(exports, name, {
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/******/ configurable: false,
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/******/ enumerable: true,
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/******/ get: getter
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/******/ });
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/******/ };
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/******/ // Object.prototype.hasOwnProperty.call
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/******/ __webpack_require__.o = function(object, property) { return Object.prototype.hasOwnProperty.call(object, property); };
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/******/ // __webpack_public_path__
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/******/ __webpack_require__.p = "";
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/******/ // Load entry module and return exports
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/******/ return __webpack_require__(__webpack_require__.s = 3);
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/******/ })
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/************************************************************************/
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/******/ ([
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/* 0 */
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/***/ function(module, exports, __webpack_require__) {
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/* WEBPACK VAR INJECTION */(function(module) {(function (module, exports) {
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'use strict';
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// Utils
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function assert (val, msg) {
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if (!val) throw new Error(msg || 'Assertion failed');
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}
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// Could use `inherits` module, but don't want to move from single file
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// architecture yet.
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function inherits (ctor, superCtor) {
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ctor.super_ = superCtor;
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var TempCtor = function () {};
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TempCtor.prototype = superCtor.prototype;
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ctor.prototype = new TempCtor();
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ctor.prototype.constructor = ctor;
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}
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// BN
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function BN (number, base, endian) {
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if (BN.isBN(number)) {
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return number;
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}
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this.negative = 0;
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this.words = null;
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this.length = 0;
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// Reduction context
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this.red = null;
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if (number !== null) {
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if (base === 'le' || base === 'be') {
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endian = base;
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base = 10;
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}
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this._init(number || 0, base || 10, endian || 'be');
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}
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}
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if (typeof module === 'object') {
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module.exports = BN;
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} else {
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exports.BN = BN;
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}
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BN.BN = BN;
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BN.wordSize = 26;
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var Buffer;
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try {
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Buffer = __webpack_require__(1).Buffer;
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} catch (e) {
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}
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BN.isBN = function isBN (num) {
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if (num instanceof BN) {
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return true;
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}
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return num !== null && typeof num === 'object' &&
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num.constructor.wordSize === BN.wordSize && Array.isArray(num.words);
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};
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BN.max = function max (left, right) {
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if (left.cmp(right) > 0) return left;
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return right;
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};
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BN.min = function min (left, right) {
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if (left.cmp(right) < 0) return left;
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return right;
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};
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BN.prototype._init = function init (number, base, endian) {
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if (typeof number === 'number') {
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return this._initNumber(number, base, endian);
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}
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if (typeof number === 'object') {
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return this._initArray(number, base, endian);
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}
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if (base === 'hex') {
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base = 16;
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}
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assert(base === (base | 0) && base >= 2 && base <= 36);
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number = number.toString().replace(/\s+/g, '');
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var start = 0;
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if (number[0] === '-') {
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start++;
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}
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if (base === 16) {
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this._parseHex(number, start);
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} else {
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this._parseBase(number, base, start);
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}
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if (number[0] === '-') {
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this.negative = 1;
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}
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this.strip();
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if (endian !== 'le') return;
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this._initArray(this.toArray(), base, endian);
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};
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BN.prototype._initNumber = function _initNumber (number, base, endian) {
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if (number < 0) {
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this.negative = 1;
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number = -number;
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}
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if (number < 0x4000000) {
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this.words = [ number & 0x3ffffff ];
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this.length = 1;
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} else if (number < 0x10000000000000) {
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this.words = [
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number & 0x3ffffff,
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(number / 0x4000000) & 0x3ffffff
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];
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this.length = 2;
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} else {
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assert(number < 0x20000000000000); // 2 ^ 53 (unsafe)
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this.words = [
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number & 0x3ffffff,
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(number / 0x4000000) & 0x3ffffff,
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1
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];
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this.length = 3;
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}
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if (endian !== 'le') return;
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// Reverse the bytes
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this._initArray(this.toArray(), base, endian);
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};
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BN.prototype._initArray = function _initArray (number, base, endian) {
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// Perhaps a Uint8Array
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assert(typeof number.length === 'number');
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if (number.length <= 0) {
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this.words = [ 0 ];
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this.length = 1;
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return this;
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}
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this.length = Math.ceil(number.length / 3);
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this.words = new Array(this.length);
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for (var i = 0; i < this.length; i++) {
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this.words[i] = 0;
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}
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var j, w;
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var off = 0;
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if (endian === 'be') {
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for (i = number.length - 1, j = 0; i >= 0; i -= 3) {
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w = number[i] | (number[i - 1] << 8) | (number[i - 2] << 16);
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this.words[j] |= (w << off) & 0x3ffffff;
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this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
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off += 24;
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if (off >= 26) {
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off -= 26;
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j++;
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}
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}
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} else if (endian === 'le') {
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for (i = 0, j = 0; i < number.length; i += 3) {
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w = number[i] | (number[i + 1] << 8) | (number[i + 2] << 16);
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this.words[j] |= (w << off) & 0x3ffffff;
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this.words[j + 1] = (w >>> (26 - off)) & 0x3ffffff;
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off += 24;
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if (off >= 26) {
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off -= 26;
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j++;
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}
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}
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}
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return this.strip();
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};
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function parseHex (str, start, end) {
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var r = 0;
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var len = Math.min(str.length, end);
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for (var i = start; i < len; i++) {
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var c = str.charCodeAt(i) - 48;
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r <<= 4;
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// 'a' - 'f'
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if (c >= 49 && c <= 54) {
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r |= c - 49 + 0xa;
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// 'A' - 'F'
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} else if (c >= 17 && c <= 22) {
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r |= c - 17 + 0xa;
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// '0' - '9'
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} else {
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r |= c & 0xf;
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}
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}
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return r;
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}
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BN.prototype._parseHex = function _parseHex (number, start) {
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// Create possibly bigger array to ensure that it fits the number
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this.length = Math.ceil((number.length - start) / 6);
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this.words = new Array(this.length);
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for (var i = 0; i < this.length; i++) {
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this.words[i] = 0;
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}
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var j, w;
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// Scan 24-bit chunks and add them to the number
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var off = 0;
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for (i = number.length - 6, j = 0; i >= start; i -= 6) {
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w = parseHex(number, i, i + 6);
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this.words[j] |= (w << off) & 0x3ffffff;
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// NOTE: `0x3fffff` is intentional here, 26bits max shift + 24bit hex limb
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this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
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off += 24;
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if (off >= 26) {
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off -= 26;
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j++;
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}
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}
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if (i + 6 !== start) {
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w = parseHex(number, start, i + 6);
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this.words[j] |= (w << off) & 0x3ffffff;
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this.words[j + 1] |= w >>> (26 - off) & 0x3fffff;
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}
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this.strip();
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};
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function parseBase (str, start, end, mul) {
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var r = 0;
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var len = Math.min(str.length, end);
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for (var i = start; i < len; i++) {
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var c = str.charCodeAt(i) - 48;
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r *= mul;
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// 'a'
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if (c >= 49) {
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r += c - 49 + 0xa;
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// 'A'
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} else if (c >= 17) {
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r += c - 17 + 0xa;
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// '0' - '9'
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} else {
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r += c;
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}
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}
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return r;
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}
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BN.prototype._parseBase = function _parseBase (number, base, start) {
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// Initialize as zero
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this.words = [ 0 ];
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this.length = 1;
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// Find length of limb in base
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for (var limbLen = 0, limbPow = 1; limbPow <= 0x3ffffff; limbPow *= base) {
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limbLen++;
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}
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limbLen--;
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limbPow = (limbPow / base) | 0;
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var total = number.length - start;
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var mod = total % limbLen;
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var end = Math.min(total, total - mod) + start;
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var word = 0;
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for (var i = start; i < end; i += limbLen) {
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word = parseBase(number, i, i + limbLen, base);
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this.imuln(limbPow);
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if (this.words[0] + word < 0x4000000) {
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this.words[0] += word;
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} else {
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this._iaddn(word);
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}
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}
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if (mod !== 0) {
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var pow = 1;
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word = parseBase(number, i, number.length, base);
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for (i = 0; i < mod; i++) {
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pow *= base;
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}
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this.imuln(pow);
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if (this.words[0] + word < 0x4000000) {
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this.words[0] += word;
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} else {
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this._iaddn(word);
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}
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}
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};
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BN.prototype.copy = function copy (dest) {
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dest.words = new Array(this.length);
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for (var i = 0; i < this.length; i++) {
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dest.words[i] = this.words[i];
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}
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dest.length = this.length;
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dest.negative = this.negative;
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dest.red = this.red;
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};
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BN.prototype.clone = function clone () {
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var r = new BN(null);
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this.copy(r);
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return r;
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};
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BN.prototype._expand = function _expand (size) {
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while (this.length < size) {
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this.words[this.length++] = 0;
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}
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return this;
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};
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// Remove leading `0` from `this`
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BN.prototype.strip = function strip () {
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while (this.length > 1 && this.words[this.length - 1] === 0) {
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this.length--;
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}
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return this._normSign();
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};
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BN.prototype._normSign = function _normSign () {
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// -0 = 0
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if (this.length === 1 && this.words[0] === 0) {
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this.negative = 0;
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}
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return this;
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};
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BN.prototype.inspect = function inspect () {
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return (this.red ? '<BN-R: ' : '<BN: ') + this.toString(16) + '>';
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};
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/*
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var zeros = [];
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var groupSizes = [];
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var groupBases = [];
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var s = '';
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var i = -1;
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while (++i < BN.wordSize) {
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zeros[i] = s;
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s += '0';
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}
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groupSizes[0] = 0;
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groupSizes[1] = 0;
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groupBases[0] = 0;
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groupBases[1] = 0;
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var base = 2 - 1;
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while (++base < 36 + 1) {
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var groupSize = 0;
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var groupBase = 1;
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while (groupBase < (1 << BN.wordSize) / base) {
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groupBase *= base;
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groupSize += 1;
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}
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groupSizes[base] = groupSize;
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groupBases[base] = groupBase;
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}
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*/
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var zeros = [
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'',
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'0',
|
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'00',
|
|
'000',
|
|
'0000',
|
|
'00000',
|
|
'000000',
|
|
'0000000',
|
|
'00000000',
|
|
'000000000',
|
|
'0000000000',
|
|
'00000000000',
|
|
'000000000000',
|
|
'0000000000000',
|
|
'00000000000000',
|
|
'000000000000000',
|
|
'0000000000000000',
|
|
'00000000000000000',
|
|
'000000000000000000',
|
|
'0000000000000000000',
|
|
'00000000000000000000',
|
|
'000000000000000000000',
|
|
'0000000000000000000000',
|
|
'00000000000000000000000',
|
|
'000000000000000000000000',
|
|
'0000000000000000000000000'
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|
];
|
|
|
|
var groupSizes = [
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|
0, 0,
|
|
25, 16, 12, 11, 10, 9, 8,
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8, 7, 7, 7, 7, 6, 6,
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|
6, 6, 6, 6, 6, 5, 5,
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|
5, 5, 5, 5, 5, 5, 5,
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|
5, 5, 5, 5, 5, 5, 5
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|
];
|
|
|
|
var groupBases = [
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|
0, 0,
|
|
33554432, 43046721, 16777216, 48828125, 60466176, 40353607, 16777216,
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|
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
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|
];
|
|
|
|
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) {
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|
off -= 26;
|
|
i--;
|
|
}
|
|
}
|
|
if (carry !== 0) {
|
|
out = carry.toString(16) + out;
|
|
}
|
|
while (out.length % padding !== 0) {
|
|
out = '0' + out;
|
|
}
|
|
if (this.negative !== 0) {
|
|
out = '-' + out;
|
|
}
|
|
return out;
|
|
}
|
|
|
|
if (base === (base | 0) && base >= 2 && base <= 36) {
|
|
// var groupSize = Math.floor(BN.wordSize * Math.LN2 / Math.log(base));
|
|
var groupSize = groupSizes[base];
|
|
// var groupBase = Math.pow(base, groupSize);
|
|
var groupBase = groupBases[base];
|
|
out = '';
|
|
var c = this.clone();
|
|
c.negative = 0;
|
|
while (!c.isZero()) {
|
|
var r = c.modn(groupBase).toString(base);
|
|
c = c.idivn(groupBase);
|
|
|
|
if (!c.isZero()) {
|
|
out = zeros[groupSize - r.length] + r + out;
|
|
} else {
|
|
out = r + out;
|
|
}
|
|
}
|
|
if (this.isZero()) {
|
|
out = '0' + out;
|
|
}
|
|
while (out.length % padding !== 0) {
|
|
out = '0' + out;
|
|
}
|
|
if (this.negative !== 0) {
|
|
out = '-' + out;
|
|
}
|
|
return out;
|
|
}
|
|
|
|
assert(false, 'Base should be between 2 and 36');
|
|
};
|
|
|
|
BN.prototype.toNumber = function toNumber () {
|
|
var ret = this.words[0];
|
|
if (this.length === 2) {
|
|
ret += this.words[1] * 0x4000000;
|
|
} else if (this.length === 3 && this.words[2] === 0x01) {
|
|
// NOTE: at this stage it is known that the top bit is set
|
|
ret += 0x10000000000000 + (this.words[1] * 0x4000000);
|
|
} else if (this.length > 2) {
|
|
assert(false, 'Number can only safely store up to 53 bits');
|
|
}
|
|
return (this.negative !== 0) ? -ret : ret;
|
|
};
|
|
|
|
BN.prototype.toJSON = function toJSON () {
|
|
return this.toString(16);
|
|
};
|
|
|
|
BN.prototype.toBuffer = function toBuffer (endian, length) {
|
|
assert(typeof Buffer !== 'undefined');
|
|
return this.toArrayLike(Buffer, endian, length);
|
|
};
|
|
|
|
BN.prototype.toArray = function toArray (endian, length) {
|
|
return this.toArrayLike(Array, endian, length);
|
|
};
|
|
|
|
BN.prototype.toArrayLike = function toArrayLike (ArrayType, endian, length) {
|
|
var byteLength = this.byteLength();
|
|
var reqLength = length || Math.max(1, byteLength);
|
|
assert(byteLength <= reqLength, 'byte array longer than desired length');
|
|
assert(reqLength > 0, 'Requested array length <= 0');
|
|
|
|
this.strip();
|
|
var littleEndian = endian === 'le';
|
|
var res = new ArrayType(reqLength);
|
|
|
|
var b, i;
|
|
var q = this.clone();
|
|
if (!littleEndian) {
|
|
// Assume big-endian
|
|
for (i = 0; i < reqLength - byteLength; i++) {
|
|
res[i] = 0;
|
|
}
|
|
|
|
for (i = 0; !q.isZero(); i++) {
|
|
b = q.andln(0xff);
|
|
q.iushrn(8);
|
|
|
|
res[reqLength - i - 1] = b;
|
|
}
|
|
} else {
|
|
for (i = 0; !q.isZero(); i++) {
|
|
b = q.andln(0xff);
|
|
q.iushrn(8);
|
|
|
|
res[i] = b;
|
|
}
|
|
|
|
for (; i < reqLength; i++) {
|
|
res[i] = 0;
|
|
}
|
|
}
|
|
|
|
return res;
|
|
};
|
|
|
|
if (Math.clz32) {
|
|
BN.prototype._countBits = function _countBits (w) {
|
|
return 32 - Math.clz32(w);
|
|
};
|
|
} else {
|
|
BN.prototype._countBits = function _countBits (w) {
|
|
var t = w;
|
|
var r = 0;
|
|
if (t >= 0x1000) {
|
|
r += 13;
|
|
t >>>= 13;
|
|
}
|
|
if (t >= 0x40) {
|
|
r += 7;
|
|
t >>>= 7;
|
|
}
|
|
if (t >= 0x8) {
|
|
r += 4;
|
|
t >>>= 4;
|
|
}
|
|
if (t >= 0x02) {
|
|
r += 2;
|
|
t >>>= 2;
|
|
}
|
|
return r + t;
|
|
};
|
|
}
|
|
|
|
BN.prototype._zeroBits = function _zeroBits (w) {
|
|
// Short-cut
|
|
if (w === 0) return 26;
|
|
|
|
var t = w;
|
|
var r = 0;
|
|
if ((t & 0x1fff) === 0) {
|
|
r += 13;
|
|
t >>>= 13;
|
|
}
|
|
if ((t & 0x7f) === 0) {
|
|
r += 7;
|
|
t >>>= 7;
|
|
}
|
|
if ((t & 0xf) === 0) {
|
|
r += 4;
|
|
t >>>= 4;
|
|
}
|
|
if ((t & 0x3) === 0) {
|
|
r += 2;
|
|
t >>>= 2;
|
|
}
|
|
if ((t & 0x1) === 0) {
|
|
r++;
|
|
}
|
|
return r;
|
|
};
|
|
|
|
// Return number of used bits in a BN
|
|
BN.prototype.bitLength = function bitLength () {
|
|
var w = this.words[this.length - 1];
|
|
var hi = this._countBits(w);
|
|
return (this.length - 1) * 26 + hi;
|
|
};
|
|
|
|
function toBitArray (num) {
|
|
var w = new Array(num.bitLength());
|
|
|
|
for (var bit = 0; bit < w.length; bit++) {
|
|
var off = (bit / 26) | 0;
|
|
var wbit = bit % 26;
|
|
|
|
w[bit] = (num.words[off] & (1 << wbit)) >>> wbit;
|
|
}
|
|
|
|
return w;
|
|
}
|
|
|
|
// Number of trailing zero bits
|
|
BN.prototype.zeroBits = function zeroBits () {
|
|
if (this.isZero()) return 0;
|
|
|
|
var r = 0;
|
|
for (var i = 0; i < this.length; i++) {
|
|
var b = this._zeroBits(this.words[i]);
|
|
r += b;
|
|
if (b !== 26) break;
|
|
}
|
|
return r;
|
|
};
|
|
|
|
BN.prototype.byteLength = function byteLength () {
|
|
return Math.ceil(this.bitLength() / 8);
|
|
};
|
|
|
|
BN.prototype.toTwos = function toTwos (width) {
|
|
if (this.negative !== 0) {
|
|
return this.abs().inotn(width).iaddn(1);
|
|
}
|
|
return this.clone();
|
|
};
|
|
|
|
BN.prototype.fromTwos = function fromTwos (width) {
|
|
if (this.testn(width - 1)) {
|
|
return this.notn(width).iaddn(1).ineg();
|
|
}
|
|
return this.clone();
|
|
};
|
|
|
|
BN.prototype.isNeg = function isNeg () {
|
|
return this.negative !== 0;
|
|
};
|
|
|
|
// Return negative clone of `this`
|
|
BN.prototype.neg = function neg () {
|
|
return this.clone().ineg();
|
|
};
|
|
|
|
BN.prototype.ineg = function ineg () {
|
|
if (!this.isZero()) {
|
|
this.negative ^= 1;
|
|
}
|
|
|
|
return this;
|
|
};
|
|
|
|
// Or `num` with `this` in-place
|
|
BN.prototype.iuor = function iuor (num) {
|
|
while (this.length < num.length) {
|
|
this.words[this.length++] = 0;
|
|
}
|
|
|
|
for (var i = 0; i < num.length; i++) {
|
|
this.words[i] = this.words[i] | num.words[i];
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.ior = function ior (num) {
|
|
assert((this.negative | num.negative) === 0);
|
|
return this.iuor(num);
|
|
};
|
|
|
|
// Or `num` with `this`
|
|
BN.prototype.or = function or (num) {
|
|
if (this.length > num.length) return this.clone().ior(num);
|
|
return num.clone().ior(this);
|
|
};
|
|
|
|
BN.prototype.uor = function uor (num) {
|
|
if (this.length > num.length) return this.clone().iuor(num);
|
|
return num.clone().iuor(this);
|
|
};
|
|
|
|
// And `num` with `this` in-place
|
|
BN.prototype.iuand = function iuand (num) {
|
|
// b = min-length(num, this)
|
|
var b;
|
|
if (this.length > num.length) {
|
|
b = num;
|
|
} else {
|
|
b = this;
|
|
}
|
|
|
|
for (var i = 0; i < b.length; i++) {
|
|
this.words[i] = this.words[i] & num.words[i];
|
|
}
|
|
|
|
this.length = b.length;
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.iand = function iand (num) {
|
|
assert((this.negative | num.negative) === 0);
|
|
return this.iuand(num);
|
|
};
|
|
|
|
// And `num` with `this`
|
|
BN.prototype.and = function and (num) {
|
|
if (this.length > num.length) return this.clone().iand(num);
|
|
return num.clone().iand(this);
|
|
};
|
|
|
|
BN.prototype.uand = function uand (num) {
|
|
if (this.length > num.length) return this.clone().iuand(num);
|
|
return num.clone().iuand(this);
|
|
};
|
|
|
|
// Xor `num` with `this` in-place
|
|
BN.prototype.iuxor = function iuxor (num) {
|
|
// a.length > b.length
|
|
var a;
|
|
var b;
|
|
if (this.length > num.length) {
|
|
a = this;
|
|
b = num;
|
|
} else {
|
|
a = num;
|
|
b = this;
|
|
}
|
|
|
|
for (var i = 0; i < b.length; i++) {
|
|
this.words[i] = a.words[i] ^ b.words[i];
|
|
}
|
|
|
|
if (this !== a) {
|
|
for (; i < a.length; i++) {
|
|
this.words[i] = a.words[i];
|
|
}
|
|
}
|
|
|
|
this.length = a.length;
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.ixor = function ixor (num) {
|
|
assert((this.negative | num.negative) === 0);
|
|
return this.iuxor(num);
|
|
};
|
|
|
|
// Xor `num` with `this`
|
|
BN.prototype.xor = function xor (num) {
|
|
if (this.length > num.length) return this.clone().ixor(num);
|
|
return num.clone().ixor(this);
|
|
};
|
|
|
|
BN.prototype.uxor = function uxor (num) {
|
|
if (this.length > num.length) return this.clone().iuxor(num);
|
|
return num.clone().iuxor(this);
|
|
};
|
|
|
|
// Not ``this`` with ``width`` bitwidth
|
|
BN.prototype.inotn = function inotn (width) {
|
|
assert(typeof width === 'number' && width >= 0);
|
|
|
|
var bytesNeeded = Math.ceil(width / 26) | 0;
|
|
var bitsLeft = width % 26;
|
|
|
|
// Extend the buffer with leading zeroes
|
|
this._expand(bytesNeeded);
|
|
|
|
if (bitsLeft > 0) {
|
|
bytesNeeded--;
|
|
}
|
|
|
|
// Handle complete words
|
|
for (var i = 0; i < bytesNeeded; i++) {
|
|
this.words[i] = ~this.words[i] & 0x3ffffff;
|
|
}
|
|
|
|
// Handle the residue
|
|
if (bitsLeft > 0) {
|
|
this.words[i] = ~this.words[i] & (0x3ffffff >> (26 - bitsLeft));
|
|
}
|
|
|
|
// And remove leading zeroes
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.notn = function notn (width) {
|
|
return this.clone().inotn(width);
|
|
};
|
|
|
|
// Set `bit` of `this`
|
|
BN.prototype.setn = function setn (bit, val) {
|
|
assert(typeof bit === 'number' && bit >= 0);
|
|
|
|
var off = (bit / 26) | 0;
|
|
var wbit = bit % 26;
|
|
|
|
this._expand(off + 1);
|
|
|
|
if (val) {
|
|
this.words[off] = this.words[off] | (1 << wbit);
|
|
} else {
|
|
this.words[off] = this.words[off] & ~(1 << wbit);
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
// Add `num` to `this` in-place
|
|
BN.prototype.iadd = function iadd (num) {
|
|
var r;
|
|
|
|
// negative + positive
|
|
if (this.negative !== 0 && num.negative === 0) {
|
|
this.negative = 0;
|
|
r = this.isub(num);
|
|
this.negative ^= 1;
|
|
return this._normSign();
|
|
|
|
// positive + negative
|
|
} else if (this.negative === 0 && num.negative !== 0) {
|
|
num.negative = 0;
|
|
r = this.isub(num);
|
|
num.negative = 1;
|
|
return r._normSign();
|
|
}
|
|
|
|
// a.length > b.length
|
|
var a, b;
|
|
if (this.length > num.length) {
|
|
a = this;
|
|
b = num;
|
|
} else {
|
|
a = num;
|
|
b = this;
|
|
}
|
|
|
|
var carry = 0;
|
|
for (var i = 0; i < b.length; i++) {
|
|
r = (a.words[i] | 0) + (b.words[i] | 0) + carry;
|
|
this.words[i] = r & 0x3ffffff;
|
|
carry = r >>> 26;
|
|
}
|
|
for (; carry !== 0 && i < a.length; i++) {
|
|
r = (a.words[i] | 0) + carry;
|
|
this.words[i] = r & 0x3ffffff;
|
|
carry = r >>> 26;
|
|
}
|
|
|
|
this.length = a.length;
|
|
if (carry !== 0) {
|
|
this.words[this.length] = carry;
|
|
this.length++;
|
|
// Copy the rest of the words
|
|
} else if (a !== this) {
|
|
for (; i < a.length; i++) {
|
|
this.words[i] = a.words[i];
|
|
}
|
|
}
|
|
|
|
return this;
|
|
};
|
|
|
|
// Add `num` to `this`
|
|
BN.prototype.add = function add (num) {
|
|
var res;
|
|
if (num.negative !== 0 && this.negative === 0) {
|
|
num.negative = 0;
|
|
res = this.sub(num);
|
|
num.negative ^= 1;
|
|
return res;
|
|
} else if (num.negative === 0 && this.negative !== 0) {
|
|
this.negative = 0;
|
|
res = num.sub(this);
|
|
this.negative = 1;
|
|
return res;
|
|
}
|
|
|
|
if (this.length > num.length) return this.clone().iadd(num);
|
|
|
|
return num.clone().iadd(this);
|
|
};
|
|
|
|
// Subtract `num` from `this` in-place
|
|
BN.prototype.isub = function isub (num) {
|
|
// this - (-num) = this + num
|
|
if (num.negative !== 0) {
|
|
num.negative = 0;
|
|
var r = this.iadd(num);
|
|
num.negative = 1;
|
|
return r._normSign();
|
|
|
|
// -this - num = -(this + num)
|
|
} else if (this.negative !== 0) {
|
|
this.negative = 0;
|
|
this.iadd(num);
|
|
this.negative = 1;
|
|
return this._normSign();
|
|
}
|
|
|
|
// At this point both numbers are positive
|
|
var cmp = this.cmp(num);
|
|
|
|
// Optimization - zeroify
|
|
if (cmp === 0) {
|
|
this.negative = 0;
|
|
this.length = 1;
|
|
this.words[0] = 0;
|
|
return this;
|
|
}
|
|
|
|
// a > b
|
|
var a, b;
|
|
if (cmp > 0) {
|
|
a = this;
|
|
b = num;
|
|
} else {
|
|
a = num;
|
|
b = this;
|
|
}
|
|
|
|
var carry = 0;
|
|
for (var i = 0; i < b.length; i++) {
|
|
r = (a.words[i] | 0) - (b.words[i] | 0) + carry;
|
|
carry = r >> 26;
|
|
this.words[i] = r & 0x3ffffff;
|
|
}
|
|
for (; carry !== 0 && i < a.length; i++) {
|
|
r = (a.words[i] | 0) + carry;
|
|
carry = r >> 26;
|
|
this.words[i] = r & 0x3ffffff;
|
|
}
|
|
|
|
// Copy rest of the words
|
|
if (carry === 0 && i < a.length && a !== this) {
|
|
for (; i < a.length; i++) {
|
|
this.words[i] = a.words[i];
|
|
}
|
|
}
|
|
|
|
this.length = Math.max(this.length, i);
|
|
|
|
if (a !== this) {
|
|
this.negative = 1;
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
// Subtract `num` from `this`
|
|
BN.prototype.sub = function sub (num) {
|
|
return this.clone().isub(num);
|
|
};
|
|
|
|
function smallMulTo (self, num, out) {
|
|
out.negative = num.negative ^ self.negative;
|
|
var len = (self.length + num.length) | 0;
|
|
out.length = len;
|
|
len = (len - 1) | 0;
|
|
|
|
// Peel one iteration (compiler can't do it, because of code complexity)
|
|
var a = self.words[0] | 0;
|
|
var b = num.words[0] | 0;
|
|
var r = a * b;
|
|
|
|
var lo = r & 0x3ffffff;
|
|
var carry = (r / 0x4000000) | 0;
|
|
out.words[0] = lo;
|
|
|
|
for (var k = 1; k < len; k++) {
|
|
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
|
|
// note that ncarry could be >= 0x3ffffff
|
|
var ncarry = carry >>> 26;
|
|
var rword = carry & 0x3ffffff;
|
|
var maxJ = Math.min(k, num.length - 1);
|
|
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
|
|
var i = (k - j) | 0;
|
|
a = self.words[i] | 0;
|
|
b = num.words[j] | 0;
|
|
r = a * b + rword;
|
|
ncarry += (r / 0x4000000) | 0;
|
|
rword = r & 0x3ffffff;
|
|
}
|
|
out.words[k] = rword | 0;
|
|
carry = ncarry | 0;
|
|
}
|
|
if (carry !== 0) {
|
|
out.words[k] = carry | 0;
|
|
} else {
|
|
out.length--;
|
|
}
|
|
|
|
return out.strip();
|
|
}
|
|
|
|
// TODO(indutny): it may be reasonable to omit it for users who don't need
|
|
// to work with 256-bit numbers, otherwise it gives 20% improvement for 256-bit
|
|
// multiplication (like elliptic secp256k1).
|
|
var comb10MulTo = function comb10MulTo (self, num, out) {
|
|
var a = self.words;
|
|
var b = num.words;
|
|
var o = out.words;
|
|
var c = 0;
|
|
var lo;
|
|
var mid;
|
|
var hi;
|
|
var a0 = a[0] | 0;
|
|
var al0 = a0 & 0x1fff;
|
|
var ah0 = a0 >>> 13;
|
|
var a1 = a[1] | 0;
|
|
var al1 = a1 & 0x1fff;
|
|
var ah1 = a1 >>> 13;
|
|
var a2 = a[2] | 0;
|
|
var al2 = a2 & 0x1fff;
|
|
var ah2 = a2 >>> 13;
|
|
var a3 = a[3] | 0;
|
|
var al3 = a3 & 0x1fff;
|
|
var ah3 = a3 >>> 13;
|
|
var a4 = a[4] | 0;
|
|
var al4 = a4 & 0x1fff;
|
|
var ah4 = a4 >>> 13;
|
|
var a5 = a[5] | 0;
|
|
var al5 = a5 & 0x1fff;
|
|
var ah5 = a5 >>> 13;
|
|
var a6 = a[6] | 0;
|
|
var al6 = a6 & 0x1fff;
|
|
var ah6 = a6 >>> 13;
|
|
var a7 = a[7] | 0;
|
|
var al7 = a7 & 0x1fff;
|
|
var ah7 = a7 >>> 13;
|
|
var a8 = a[8] | 0;
|
|
var al8 = a8 & 0x1fff;
|
|
var ah8 = a8 >>> 13;
|
|
var a9 = a[9] | 0;
|
|
var al9 = a9 & 0x1fff;
|
|
var ah9 = a9 >>> 13;
|
|
var b0 = b[0] | 0;
|
|
var bl0 = b0 & 0x1fff;
|
|
var bh0 = b0 >>> 13;
|
|
var b1 = b[1] | 0;
|
|
var bl1 = b1 & 0x1fff;
|
|
var bh1 = b1 >>> 13;
|
|
var b2 = b[2] | 0;
|
|
var bl2 = b2 & 0x1fff;
|
|
var bh2 = b2 >>> 13;
|
|
var b3 = b[3] | 0;
|
|
var bl3 = b3 & 0x1fff;
|
|
var bh3 = b3 >>> 13;
|
|
var b4 = b[4] | 0;
|
|
var bl4 = b4 & 0x1fff;
|
|
var bh4 = b4 >>> 13;
|
|
var b5 = b[5] | 0;
|
|
var bl5 = b5 & 0x1fff;
|
|
var bh5 = b5 >>> 13;
|
|
var b6 = b[6] | 0;
|
|
var bl6 = b6 & 0x1fff;
|
|
var bh6 = b6 >>> 13;
|
|
var b7 = b[7] | 0;
|
|
var bl7 = b7 & 0x1fff;
|
|
var bh7 = b7 >>> 13;
|
|
var b8 = b[8] | 0;
|
|
var bl8 = b8 & 0x1fff;
|
|
var bh8 = b8 >>> 13;
|
|
var b9 = b[9] | 0;
|
|
var bl9 = b9 & 0x1fff;
|
|
var bh9 = b9 >>> 13;
|
|
|
|
out.negative = self.negative ^ num.negative;
|
|
out.length = 19;
|
|
/* k = 0 */
|
|
lo = Math.imul(al0, bl0);
|
|
mid = Math.imul(al0, bh0);
|
|
mid = (mid + Math.imul(ah0, bl0)) | 0;
|
|
hi = Math.imul(ah0, bh0);
|
|
var w0 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w0 >>> 26)) | 0;
|
|
w0 &= 0x3ffffff;
|
|
/* k = 1 */
|
|
lo = Math.imul(al1, bl0);
|
|
mid = Math.imul(al1, bh0);
|
|
mid = (mid + Math.imul(ah1, bl0)) | 0;
|
|
hi = Math.imul(ah1, bh0);
|
|
lo = (lo + Math.imul(al0, bl1)) | 0;
|
|
mid = (mid + Math.imul(al0, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh1)) | 0;
|
|
var w1 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w1 >>> 26)) | 0;
|
|
w1 &= 0x3ffffff;
|
|
/* k = 2 */
|
|
lo = Math.imul(al2, bl0);
|
|
mid = Math.imul(al2, bh0);
|
|
mid = (mid + Math.imul(ah2, bl0)) | 0;
|
|
hi = Math.imul(ah2, bh0);
|
|
lo = (lo + Math.imul(al1, bl1)) | 0;
|
|
mid = (mid + Math.imul(al1, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh1)) | 0;
|
|
lo = (lo + Math.imul(al0, bl2)) | 0;
|
|
mid = (mid + Math.imul(al0, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh2)) | 0;
|
|
var w2 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w2 >>> 26)) | 0;
|
|
w2 &= 0x3ffffff;
|
|
/* k = 3 */
|
|
lo = Math.imul(al3, bl0);
|
|
mid = Math.imul(al3, bh0);
|
|
mid = (mid + Math.imul(ah3, bl0)) | 0;
|
|
hi = Math.imul(ah3, bh0);
|
|
lo = (lo + Math.imul(al2, bl1)) | 0;
|
|
mid = (mid + Math.imul(al2, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh1)) | 0;
|
|
lo = (lo + Math.imul(al1, bl2)) | 0;
|
|
mid = (mid + Math.imul(al1, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh2)) | 0;
|
|
lo = (lo + Math.imul(al0, bl3)) | 0;
|
|
mid = (mid + Math.imul(al0, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh3)) | 0;
|
|
var w3 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w3 >>> 26)) | 0;
|
|
w3 &= 0x3ffffff;
|
|
/* k = 4 */
|
|
lo = Math.imul(al4, bl0);
|
|
mid = Math.imul(al4, bh0);
|
|
mid = (mid + Math.imul(ah4, bl0)) | 0;
|
|
hi = Math.imul(ah4, bh0);
|
|
lo = (lo + Math.imul(al3, bl1)) | 0;
|
|
mid = (mid + Math.imul(al3, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh1)) | 0;
|
|
lo = (lo + Math.imul(al2, bl2)) | 0;
|
|
mid = (mid + Math.imul(al2, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh2)) | 0;
|
|
lo = (lo + Math.imul(al1, bl3)) | 0;
|
|
mid = (mid + Math.imul(al1, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh3)) | 0;
|
|
lo = (lo + Math.imul(al0, bl4)) | 0;
|
|
mid = (mid + Math.imul(al0, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh4)) | 0;
|
|
var w4 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w4 >>> 26)) | 0;
|
|
w4 &= 0x3ffffff;
|
|
/* k = 5 */
|
|
lo = Math.imul(al5, bl0);
|
|
mid = Math.imul(al5, bh0);
|
|
mid = (mid + Math.imul(ah5, bl0)) | 0;
|
|
hi = Math.imul(ah5, bh0);
|
|
lo = (lo + Math.imul(al4, bl1)) | 0;
|
|
mid = (mid + Math.imul(al4, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh1)) | 0;
|
|
lo = (lo + Math.imul(al3, bl2)) | 0;
|
|
mid = (mid + Math.imul(al3, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh2)) | 0;
|
|
lo = (lo + Math.imul(al2, bl3)) | 0;
|
|
mid = (mid + Math.imul(al2, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh3)) | 0;
|
|
lo = (lo + Math.imul(al1, bl4)) | 0;
|
|
mid = (mid + Math.imul(al1, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh4)) | 0;
|
|
lo = (lo + Math.imul(al0, bl5)) | 0;
|
|
mid = (mid + Math.imul(al0, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh5)) | 0;
|
|
var w5 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w5 >>> 26)) | 0;
|
|
w5 &= 0x3ffffff;
|
|
/* k = 6 */
|
|
lo = Math.imul(al6, bl0);
|
|
mid = Math.imul(al6, bh0);
|
|
mid = (mid + Math.imul(ah6, bl0)) | 0;
|
|
hi = Math.imul(ah6, bh0);
|
|
lo = (lo + Math.imul(al5, bl1)) | 0;
|
|
mid = (mid + Math.imul(al5, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh1)) | 0;
|
|
lo = (lo + Math.imul(al4, bl2)) | 0;
|
|
mid = (mid + Math.imul(al4, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh2)) | 0;
|
|
lo = (lo + Math.imul(al3, bl3)) | 0;
|
|
mid = (mid + Math.imul(al3, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh3)) | 0;
|
|
lo = (lo + Math.imul(al2, bl4)) | 0;
|
|
mid = (mid + Math.imul(al2, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh4)) | 0;
|
|
lo = (lo + Math.imul(al1, bl5)) | 0;
|
|
mid = (mid + Math.imul(al1, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh5)) | 0;
|
|
lo = (lo + Math.imul(al0, bl6)) | 0;
|
|
mid = (mid + Math.imul(al0, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh6)) | 0;
|
|
var w6 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w6 >>> 26)) | 0;
|
|
w6 &= 0x3ffffff;
|
|
/* k = 7 */
|
|
lo = Math.imul(al7, bl0);
|
|
mid = Math.imul(al7, bh0);
|
|
mid = (mid + Math.imul(ah7, bl0)) | 0;
|
|
hi = Math.imul(ah7, bh0);
|
|
lo = (lo + Math.imul(al6, bl1)) | 0;
|
|
mid = (mid + Math.imul(al6, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh1)) | 0;
|
|
lo = (lo + Math.imul(al5, bl2)) | 0;
|
|
mid = (mid + Math.imul(al5, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh2)) | 0;
|
|
lo = (lo + Math.imul(al4, bl3)) | 0;
|
|
mid = (mid + Math.imul(al4, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh3)) | 0;
|
|
lo = (lo + Math.imul(al3, bl4)) | 0;
|
|
mid = (mid + Math.imul(al3, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh4)) | 0;
|
|
lo = (lo + Math.imul(al2, bl5)) | 0;
|
|
mid = (mid + Math.imul(al2, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh5)) | 0;
|
|
lo = (lo + Math.imul(al1, bl6)) | 0;
|
|
mid = (mid + Math.imul(al1, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh6)) | 0;
|
|
lo = (lo + Math.imul(al0, bl7)) | 0;
|
|
mid = (mid + Math.imul(al0, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh7)) | 0;
|
|
var w7 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w7 >>> 26)) | 0;
|
|
w7 &= 0x3ffffff;
|
|
/* k = 8 */
|
|
lo = Math.imul(al8, bl0);
|
|
mid = Math.imul(al8, bh0);
|
|
mid = (mid + Math.imul(ah8, bl0)) | 0;
|
|
hi = Math.imul(ah8, bh0);
|
|
lo = (lo + Math.imul(al7, bl1)) | 0;
|
|
mid = (mid + Math.imul(al7, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh1)) | 0;
|
|
lo = (lo + Math.imul(al6, bl2)) | 0;
|
|
mid = (mid + Math.imul(al6, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh2)) | 0;
|
|
lo = (lo + Math.imul(al5, bl3)) | 0;
|
|
mid = (mid + Math.imul(al5, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh3)) | 0;
|
|
lo = (lo + Math.imul(al4, bl4)) | 0;
|
|
mid = (mid + Math.imul(al4, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh4)) | 0;
|
|
lo = (lo + Math.imul(al3, bl5)) | 0;
|
|
mid = (mid + Math.imul(al3, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh5)) | 0;
|
|
lo = (lo + Math.imul(al2, bl6)) | 0;
|
|
mid = (mid + Math.imul(al2, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh6)) | 0;
|
|
lo = (lo + Math.imul(al1, bl7)) | 0;
|
|
mid = (mid + Math.imul(al1, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh7)) | 0;
|
|
lo = (lo + Math.imul(al0, bl8)) | 0;
|
|
mid = (mid + Math.imul(al0, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh8)) | 0;
|
|
var w8 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w8 >>> 26)) | 0;
|
|
w8 &= 0x3ffffff;
|
|
/* k = 9 */
|
|
lo = Math.imul(al9, bl0);
|
|
mid = Math.imul(al9, bh0);
|
|
mid = (mid + Math.imul(ah9, bl0)) | 0;
|
|
hi = Math.imul(ah9, bh0);
|
|
lo = (lo + Math.imul(al8, bl1)) | 0;
|
|
mid = (mid + Math.imul(al8, bh1)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl1)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh1)) | 0;
|
|
lo = (lo + Math.imul(al7, bl2)) | 0;
|
|
mid = (mid + Math.imul(al7, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh2)) | 0;
|
|
lo = (lo + Math.imul(al6, bl3)) | 0;
|
|
mid = (mid + Math.imul(al6, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh3)) | 0;
|
|
lo = (lo + Math.imul(al5, bl4)) | 0;
|
|
mid = (mid + Math.imul(al5, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh4)) | 0;
|
|
lo = (lo + Math.imul(al4, bl5)) | 0;
|
|
mid = (mid + Math.imul(al4, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh5)) | 0;
|
|
lo = (lo + Math.imul(al3, bl6)) | 0;
|
|
mid = (mid + Math.imul(al3, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh6)) | 0;
|
|
lo = (lo + Math.imul(al2, bl7)) | 0;
|
|
mid = (mid + Math.imul(al2, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh7)) | 0;
|
|
lo = (lo + Math.imul(al1, bl8)) | 0;
|
|
mid = (mid + Math.imul(al1, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh8)) | 0;
|
|
lo = (lo + Math.imul(al0, bl9)) | 0;
|
|
mid = (mid + Math.imul(al0, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah0, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah0, bh9)) | 0;
|
|
var w9 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w9 >>> 26)) | 0;
|
|
w9 &= 0x3ffffff;
|
|
/* k = 10 */
|
|
lo = Math.imul(al9, bl1);
|
|
mid = Math.imul(al9, bh1);
|
|
mid = (mid + Math.imul(ah9, bl1)) | 0;
|
|
hi = Math.imul(ah9, bh1);
|
|
lo = (lo + Math.imul(al8, bl2)) | 0;
|
|
mid = (mid + Math.imul(al8, bh2)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl2)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh2)) | 0;
|
|
lo = (lo + Math.imul(al7, bl3)) | 0;
|
|
mid = (mid + Math.imul(al7, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh3)) | 0;
|
|
lo = (lo + Math.imul(al6, bl4)) | 0;
|
|
mid = (mid + Math.imul(al6, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh4)) | 0;
|
|
lo = (lo + Math.imul(al5, bl5)) | 0;
|
|
mid = (mid + Math.imul(al5, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh5)) | 0;
|
|
lo = (lo + Math.imul(al4, bl6)) | 0;
|
|
mid = (mid + Math.imul(al4, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh6)) | 0;
|
|
lo = (lo + Math.imul(al3, bl7)) | 0;
|
|
mid = (mid + Math.imul(al3, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh7)) | 0;
|
|
lo = (lo + Math.imul(al2, bl8)) | 0;
|
|
mid = (mid + Math.imul(al2, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh8)) | 0;
|
|
lo = (lo + Math.imul(al1, bl9)) | 0;
|
|
mid = (mid + Math.imul(al1, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah1, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah1, bh9)) | 0;
|
|
var w10 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w10 >>> 26)) | 0;
|
|
w10 &= 0x3ffffff;
|
|
/* k = 11 */
|
|
lo = Math.imul(al9, bl2);
|
|
mid = Math.imul(al9, bh2);
|
|
mid = (mid + Math.imul(ah9, bl2)) | 0;
|
|
hi = Math.imul(ah9, bh2);
|
|
lo = (lo + Math.imul(al8, bl3)) | 0;
|
|
mid = (mid + Math.imul(al8, bh3)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl3)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh3)) | 0;
|
|
lo = (lo + Math.imul(al7, bl4)) | 0;
|
|
mid = (mid + Math.imul(al7, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh4)) | 0;
|
|
lo = (lo + Math.imul(al6, bl5)) | 0;
|
|
mid = (mid + Math.imul(al6, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh5)) | 0;
|
|
lo = (lo + Math.imul(al5, bl6)) | 0;
|
|
mid = (mid + Math.imul(al5, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh6)) | 0;
|
|
lo = (lo + Math.imul(al4, bl7)) | 0;
|
|
mid = (mid + Math.imul(al4, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh7)) | 0;
|
|
lo = (lo + Math.imul(al3, bl8)) | 0;
|
|
mid = (mid + Math.imul(al3, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh8)) | 0;
|
|
lo = (lo + Math.imul(al2, bl9)) | 0;
|
|
mid = (mid + Math.imul(al2, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah2, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah2, bh9)) | 0;
|
|
var w11 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w11 >>> 26)) | 0;
|
|
w11 &= 0x3ffffff;
|
|
/* k = 12 */
|
|
lo = Math.imul(al9, bl3);
|
|
mid = Math.imul(al9, bh3);
|
|
mid = (mid + Math.imul(ah9, bl3)) | 0;
|
|
hi = Math.imul(ah9, bh3);
|
|
lo = (lo + Math.imul(al8, bl4)) | 0;
|
|
mid = (mid + Math.imul(al8, bh4)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl4)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh4)) | 0;
|
|
lo = (lo + Math.imul(al7, bl5)) | 0;
|
|
mid = (mid + Math.imul(al7, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh5)) | 0;
|
|
lo = (lo + Math.imul(al6, bl6)) | 0;
|
|
mid = (mid + Math.imul(al6, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh6)) | 0;
|
|
lo = (lo + Math.imul(al5, bl7)) | 0;
|
|
mid = (mid + Math.imul(al5, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh7)) | 0;
|
|
lo = (lo + Math.imul(al4, bl8)) | 0;
|
|
mid = (mid + Math.imul(al4, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh8)) | 0;
|
|
lo = (lo + Math.imul(al3, bl9)) | 0;
|
|
mid = (mid + Math.imul(al3, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah3, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah3, bh9)) | 0;
|
|
var w12 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w12 >>> 26)) | 0;
|
|
w12 &= 0x3ffffff;
|
|
/* k = 13 */
|
|
lo = Math.imul(al9, bl4);
|
|
mid = Math.imul(al9, bh4);
|
|
mid = (mid + Math.imul(ah9, bl4)) | 0;
|
|
hi = Math.imul(ah9, bh4);
|
|
lo = (lo + Math.imul(al8, bl5)) | 0;
|
|
mid = (mid + Math.imul(al8, bh5)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl5)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh5)) | 0;
|
|
lo = (lo + Math.imul(al7, bl6)) | 0;
|
|
mid = (mid + Math.imul(al7, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh6)) | 0;
|
|
lo = (lo + Math.imul(al6, bl7)) | 0;
|
|
mid = (mid + Math.imul(al6, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh7)) | 0;
|
|
lo = (lo + Math.imul(al5, bl8)) | 0;
|
|
mid = (mid + Math.imul(al5, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh8)) | 0;
|
|
lo = (lo + Math.imul(al4, bl9)) | 0;
|
|
mid = (mid + Math.imul(al4, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah4, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah4, bh9)) | 0;
|
|
var w13 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w13 >>> 26)) | 0;
|
|
w13 &= 0x3ffffff;
|
|
/* k = 14 */
|
|
lo = Math.imul(al9, bl5);
|
|
mid = Math.imul(al9, bh5);
|
|
mid = (mid + Math.imul(ah9, bl5)) | 0;
|
|
hi = Math.imul(ah9, bh5);
|
|
lo = (lo + Math.imul(al8, bl6)) | 0;
|
|
mid = (mid + Math.imul(al8, bh6)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl6)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh6)) | 0;
|
|
lo = (lo + Math.imul(al7, bl7)) | 0;
|
|
mid = (mid + Math.imul(al7, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh7)) | 0;
|
|
lo = (lo + Math.imul(al6, bl8)) | 0;
|
|
mid = (mid + Math.imul(al6, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh8)) | 0;
|
|
lo = (lo + Math.imul(al5, bl9)) | 0;
|
|
mid = (mid + Math.imul(al5, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah5, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah5, bh9)) | 0;
|
|
var w14 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w14 >>> 26)) | 0;
|
|
w14 &= 0x3ffffff;
|
|
/* k = 15 */
|
|
lo = Math.imul(al9, bl6);
|
|
mid = Math.imul(al9, bh6);
|
|
mid = (mid + Math.imul(ah9, bl6)) | 0;
|
|
hi = Math.imul(ah9, bh6);
|
|
lo = (lo + Math.imul(al8, bl7)) | 0;
|
|
mid = (mid + Math.imul(al8, bh7)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl7)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh7)) | 0;
|
|
lo = (lo + Math.imul(al7, bl8)) | 0;
|
|
mid = (mid + Math.imul(al7, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh8)) | 0;
|
|
lo = (lo + Math.imul(al6, bl9)) | 0;
|
|
mid = (mid + Math.imul(al6, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah6, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah6, bh9)) | 0;
|
|
var w15 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w15 >>> 26)) | 0;
|
|
w15 &= 0x3ffffff;
|
|
/* k = 16 */
|
|
lo = Math.imul(al9, bl7);
|
|
mid = Math.imul(al9, bh7);
|
|
mid = (mid + Math.imul(ah9, bl7)) | 0;
|
|
hi = Math.imul(ah9, bh7);
|
|
lo = (lo + Math.imul(al8, bl8)) | 0;
|
|
mid = (mid + Math.imul(al8, bh8)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl8)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh8)) | 0;
|
|
lo = (lo + Math.imul(al7, bl9)) | 0;
|
|
mid = (mid + Math.imul(al7, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah7, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah7, bh9)) | 0;
|
|
var w16 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w16 >>> 26)) | 0;
|
|
w16 &= 0x3ffffff;
|
|
/* k = 17 */
|
|
lo = Math.imul(al9, bl8);
|
|
mid = Math.imul(al9, bh8);
|
|
mid = (mid + Math.imul(ah9, bl8)) | 0;
|
|
hi = Math.imul(ah9, bh8);
|
|
lo = (lo + Math.imul(al8, bl9)) | 0;
|
|
mid = (mid + Math.imul(al8, bh9)) | 0;
|
|
mid = (mid + Math.imul(ah8, bl9)) | 0;
|
|
hi = (hi + Math.imul(ah8, bh9)) | 0;
|
|
var w17 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w17 >>> 26)) | 0;
|
|
w17 &= 0x3ffffff;
|
|
/* k = 18 */
|
|
lo = Math.imul(al9, bl9);
|
|
mid = Math.imul(al9, bh9);
|
|
mid = (mid + Math.imul(ah9, bl9)) | 0;
|
|
hi = Math.imul(ah9, bh9);
|
|
var w18 = (((c + lo) | 0) + ((mid & 0x1fff) << 13)) | 0;
|
|
c = (((hi + (mid >>> 13)) | 0) + (w18 >>> 26)) | 0;
|
|
w18 &= 0x3ffffff;
|
|
o[0] = w0;
|
|
o[1] = w1;
|
|
o[2] = w2;
|
|
o[3] = w3;
|
|
o[4] = w4;
|
|
o[5] = w5;
|
|
o[6] = w6;
|
|
o[7] = w7;
|
|
o[8] = w8;
|
|
o[9] = w9;
|
|
o[10] = w10;
|
|
o[11] = w11;
|
|
o[12] = w12;
|
|
o[13] = w13;
|
|
o[14] = w14;
|
|
o[15] = w15;
|
|
o[16] = w16;
|
|
o[17] = w17;
|
|
o[18] = w18;
|
|
if (c !== 0) {
|
|
o[19] = c;
|
|
out.length++;
|
|
}
|
|
return out;
|
|
};
|
|
|
|
// Polyfill comb
|
|
if (!Math.imul) {
|
|
comb10MulTo = smallMulTo;
|
|
}
|
|
|
|
function bigMulTo (self, num, out) {
|
|
out.negative = num.negative ^ self.negative;
|
|
out.length = self.length + num.length;
|
|
|
|
var carry = 0;
|
|
var hncarry = 0;
|
|
for (var k = 0; k < out.length - 1; k++) {
|
|
// Sum all words with the same `i + j = k` and accumulate `ncarry`,
|
|
// note that ncarry could be >= 0x3ffffff
|
|
var ncarry = hncarry;
|
|
hncarry = 0;
|
|
var rword = carry & 0x3ffffff;
|
|
var maxJ = Math.min(k, num.length - 1);
|
|
for (var j = Math.max(0, k - self.length + 1); j <= maxJ; j++) {
|
|
var i = k - j;
|
|
var a = self.words[i] | 0;
|
|
var b = num.words[j] | 0;
|
|
var r = a * b;
|
|
|
|
var lo = r & 0x3ffffff;
|
|
ncarry = (ncarry + ((r / 0x4000000) | 0)) | 0;
|
|
lo = (lo + rword) | 0;
|
|
rword = lo & 0x3ffffff;
|
|
ncarry = (ncarry + (lo >>> 26)) | 0;
|
|
|
|
hncarry += ncarry >>> 26;
|
|
ncarry &= 0x3ffffff;
|
|
}
|
|
out.words[k] = rword;
|
|
carry = ncarry;
|
|
ncarry = hncarry;
|
|
}
|
|
if (carry !== 0) {
|
|
out.words[k] = carry;
|
|
} else {
|
|
out.length--;
|
|
}
|
|
|
|
return out.strip();
|
|
}
|
|
|
|
function jumboMulTo (self, num, out) {
|
|
var fftm = new FFTM();
|
|
return fftm.mulp(self, num, out);
|
|
}
|
|
|
|
BN.prototype.mulTo = function mulTo (num, out) {
|
|
var res;
|
|
var len = this.length + num.length;
|
|
if (this.length === 10 && num.length === 10) {
|
|
res = comb10MulTo(this, num, out);
|
|
} else if (len < 63) {
|
|
res = smallMulTo(this, num, out);
|
|
} else if (len < 1024) {
|
|
res = bigMulTo(this, num, out);
|
|
} else {
|
|
res = jumboMulTo(this, num, out);
|
|
}
|
|
|
|
return res;
|
|
};
|
|
|
|
// Cooley-Tukey algorithm for FFT
|
|
// slightly revisited to rely on looping instead of recursion
|
|
|
|
function FFTM (x, y) {
|
|
this.x = x;
|
|
this.y = y;
|
|
}
|
|
|
|
FFTM.prototype.makeRBT = function makeRBT (N) {
|
|
var t = new Array(N);
|
|
var l = BN.prototype._countBits(N) - 1;
|
|
for (var i = 0; i < N; i++) {
|
|
t[i] = this.revBin(i, l, N);
|
|
}
|
|
|
|
return t;
|
|
};
|
|
|
|
// Returns binary-reversed representation of `x`
|
|
FFTM.prototype.revBin = function revBin (x, l, N) {
|
|
if (x === 0 || x === N - 1) return x;
|
|
|
|
var rb = 0;
|
|
for (var i = 0; i < l; i++) {
|
|
rb |= (x & 1) << (l - i - 1);
|
|
x >>= 1;
|
|
}
|
|
|
|
return rb;
|
|
};
|
|
|
|
// Performs "tweedling" phase, therefore 'emulating'
|
|
// behaviour of the recursive algorithm
|
|
FFTM.prototype.permute = function permute (rbt, rws, iws, rtws, itws, N) {
|
|
for (var i = 0; i < N; i++) {
|
|
rtws[i] = rws[rbt[i]];
|
|
itws[i] = iws[rbt[i]];
|
|
}
|
|
};
|
|
|
|
FFTM.prototype.transform = function transform (rws, iws, rtws, itws, N, rbt) {
|
|
this.permute(rbt, rws, iws, rtws, itws, N);
|
|
|
|
for (var s = 1; s < N; s <<= 1) {
|
|
var l = s << 1;
|
|
|
|
var rtwdf = Math.cos(2 * Math.PI / l);
|
|
var itwdf = Math.sin(2 * Math.PI / l);
|
|
|
|
for (var p = 0; p < N; p += l) {
|
|
var rtwdf_ = rtwdf;
|
|
var itwdf_ = itwdf;
|
|
|
|
for (var j = 0; j < s; j++) {
|
|
var re = rtws[p + j];
|
|
var ie = itws[p + j];
|
|
|
|
var ro = rtws[p + j + s];
|
|
var io = itws[p + j + s];
|
|
|
|
var rx = rtwdf_ * ro - itwdf_ * io;
|
|
|
|
io = rtwdf_ * io + itwdf_ * ro;
|
|
ro = rx;
|
|
|
|
rtws[p + j] = re + ro;
|
|
itws[p + j] = ie + io;
|
|
|
|
rtws[p + j + s] = re - ro;
|
|
itws[p + j + s] = ie - io;
|
|
|
|
/* jshint maxdepth : false */
|
|
if (j !== l) {
|
|
rx = rtwdf * rtwdf_ - itwdf * itwdf_;
|
|
|
|
itwdf_ = rtwdf * itwdf_ + itwdf * rtwdf_;
|
|
rtwdf_ = rx;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
FFTM.prototype.guessLen13b = function guessLen13b (n, m) {
|
|
var N = Math.max(m, n) | 1;
|
|
var odd = N & 1;
|
|
var i = 0;
|
|
for (N = N / 2 | 0; N; N = N >>> 1) {
|
|
i++;
|
|
}
|
|
|
|
return 1 << i + 1 + odd;
|
|
};
|
|
|
|
FFTM.prototype.conjugate = function conjugate (rws, iws, N) {
|
|
if (N <= 1) return;
|
|
|
|
for (var i = 0; i < N / 2; i++) {
|
|
var t = rws[i];
|
|
|
|
rws[i] = rws[N - i - 1];
|
|
rws[N - i - 1] = t;
|
|
|
|
t = iws[i];
|
|
|
|
iws[i] = -iws[N - i - 1];
|
|
iws[N - i - 1] = -t;
|
|
}
|
|
};
|
|
|
|
FFTM.prototype.normalize13b = function normalize13b (ws, N) {
|
|
var carry = 0;
|
|
for (var i = 0; i < N / 2; i++) {
|
|
var w = Math.round(ws[2 * i + 1] / N) * 0x2000 +
|
|
Math.round(ws[2 * i] / N) +
|
|
carry;
|
|
|
|
ws[i] = w & 0x3ffffff;
|
|
|
|
if (w < 0x4000000) {
|
|
carry = 0;
|
|
} else {
|
|
carry = w / 0x4000000 | 0;
|
|
}
|
|
}
|
|
|
|
return ws;
|
|
};
|
|
|
|
FFTM.prototype.convert13b = function convert13b (ws, len, rws, N) {
|
|
var carry = 0;
|
|
for (var i = 0; i < len; i++) {
|
|
carry = carry + (ws[i] | 0);
|
|
|
|
rws[2 * i] = carry & 0x1fff; carry = carry >>> 13;
|
|
rws[2 * i + 1] = carry & 0x1fff; carry = carry >>> 13;
|
|
}
|
|
|
|
// Pad with zeroes
|
|
for (i = 2 * len; i < N; ++i) {
|
|
rws[i] = 0;
|
|
}
|
|
|
|
assert(carry === 0);
|
|
assert((carry & ~0x1fff) === 0);
|
|
};
|
|
|
|
FFTM.prototype.stub = function stub (N) {
|
|
var ph = new Array(N);
|
|
for (var i = 0; i < N; i++) {
|
|
ph[i] = 0;
|
|
}
|
|
|
|
return ph;
|
|
};
|
|
|
|
FFTM.prototype.mulp = function mulp (x, y, out) {
|
|
var N = 2 * this.guessLen13b(x.length, y.length);
|
|
|
|
var rbt = this.makeRBT(N);
|
|
|
|
var _ = this.stub(N);
|
|
|
|
var rws = new Array(N);
|
|
var rwst = new Array(N);
|
|
var iwst = new Array(N);
|
|
|
|
var nrws = new Array(N);
|
|
var nrwst = new Array(N);
|
|
var niwst = new Array(N);
|
|
|
|
var rmws = out.words;
|
|
rmws.length = N;
|
|
|
|
this.convert13b(x.words, x.length, rws, N);
|
|
this.convert13b(y.words, y.length, nrws, N);
|
|
|
|
this.transform(rws, _, rwst, iwst, N, rbt);
|
|
this.transform(nrws, _, nrwst, niwst, N, rbt);
|
|
|
|
for (var i = 0; i < N; i++) {
|
|
var rx = rwst[i] * nrwst[i] - iwst[i] * niwst[i];
|
|
iwst[i] = rwst[i] * niwst[i] + iwst[i] * nrwst[i];
|
|
rwst[i] = rx;
|
|
}
|
|
|
|
this.conjugate(rwst, iwst, N);
|
|
this.transform(rwst, iwst, rmws, _, N, rbt);
|
|
this.conjugate(rmws, _, N);
|
|
this.normalize13b(rmws, N);
|
|
|
|
out.negative = x.negative ^ y.negative;
|
|
out.length = x.length + y.length;
|
|
return out.strip();
|
|
};
|
|
|
|
// Multiply `this` by `num`
|
|
BN.prototype.mul = function mul (num) {
|
|
var out = new BN(null);
|
|
out.words = new Array(this.length + num.length);
|
|
return this.mulTo(num, out);
|
|
};
|
|
|
|
// Multiply employing FFT
|
|
BN.prototype.mulf = function mulf (num) {
|
|
var out = new BN(null);
|
|
out.words = new Array(this.length + num.length);
|
|
return jumboMulTo(this, num, out);
|
|
};
|
|
|
|
// In-place Multiplication
|
|
BN.prototype.imul = function imul (num) {
|
|
return this.clone().mulTo(num, this);
|
|
};
|
|
|
|
BN.prototype.imuln = function imuln (num) {
|
|
assert(typeof num === 'number');
|
|
assert(num < 0x4000000);
|
|
|
|
// Carry
|
|
var carry = 0;
|
|
for (var i = 0; i < this.length; i++) {
|
|
var w = (this.words[i] | 0) * num;
|
|
var lo = (w & 0x3ffffff) + (carry & 0x3ffffff);
|
|
carry >>= 26;
|
|
carry += (w / 0x4000000) | 0;
|
|
// NOTE: lo is 27bit maximum
|
|
carry += lo >>> 26;
|
|
this.words[i] = lo & 0x3ffffff;
|
|
}
|
|
|
|
if (carry !== 0) {
|
|
this.words[i] = carry;
|
|
this.length++;
|
|
}
|
|
|
|
return this;
|
|
};
|
|
|
|
BN.prototype.muln = function muln (num) {
|
|
return this.clone().imuln(num);
|
|
};
|
|
|
|
// `this` * `this`
|
|
BN.prototype.sqr = function sqr () {
|
|
return this.mul(this);
|
|
};
|
|
|
|
// `this` * `this` in-place
|
|
BN.prototype.isqr = function isqr () {
|
|
return this.imul(this.clone());
|
|
};
|
|
|
|
// Math.pow(`this`, `num`)
|
|
BN.prototype.pow = function pow (num) {
|
|
var w = toBitArray(num);
|
|
if (w.length === 0) return new BN(1);
|
|
|
|
// Skip leading zeroes
|
|
var res = this;
|
|
for (var i = 0; i < w.length; i++, res = res.sqr()) {
|
|
if (w[i] !== 0) break;
|
|
}
|
|
|
|
if (++i < w.length) {
|
|
for (var q = res.sqr(); i < w.length; i++, q = q.sqr()) {
|
|
if (w[i] === 0) continue;
|
|
|
|
res = res.mul(q);
|
|
}
|
|
}
|
|
|
|
return res;
|
|
};
|
|
|
|
// Shift-left in-place
|
|
BN.prototype.iushln = function iushln (bits) {
|
|
assert(typeof bits === 'number' && bits >= 0);
|
|
var r = bits % 26;
|
|
var s = (bits - r) / 26;
|
|
var carryMask = (0x3ffffff >>> (26 - r)) << (26 - r);
|
|
var i;
|
|
|
|
if (r !== 0) {
|
|
var carry = 0;
|
|
|
|
for (i = 0; i < this.length; i++) {
|
|
var newCarry = this.words[i] & carryMask;
|
|
var c = ((this.words[i] | 0) - newCarry) << r;
|
|
this.words[i] = c | carry;
|
|
carry = newCarry >>> (26 - r);
|
|
}
|
|
|
|
if (carry) {
|
|
this.words[i] = carry;
|
|
this.length++;
|
|
}
|
|
}
|
|
|
|
if (s !== 0) {
|
|
for (i = this.length - 1; i >= 0; i--) {
|
|
this.words[i + s] = this.words[i];
|
|
}
|
|
|
|
for (i = 0; i < s; i++) {
|
|
this.words[i] = 0;
|
|
}
|
|
|
|
this.length += s;
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.ishln = function ishln (bits) {
|
|
// TODO(indutny): implement me
|
|
assert(this.negative === 0);
|
|
return this.iushln(bits);
|
|
};
|
|
|
|
// Shift-right in-place
|
|
// NOTE: `hint` is a lowest bit before trailing zeroes
|
|
// NOTE: if `extended` is present - it will be filled with destroyed bits
|
|
BN.prototype.iushrn = function iushrn (bits, hint, extended) {
|
|
assert(typeof bits === 'number' && bits >= 0);
|
|
var h;
|
|
if (hint) {
|
|
h = (hint - (hint % 26)) / 26;
|
|
} else {
|
|
h = 0;
|
|
}
|
|
|
|
var r = bits % 26;
|
|
var s = Math.min((bits - r) / 26, this.length);
|
|
var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
|
|
var maskedWords = extended;
|
|
|
|
h -= s;
|
|
h = Math.max(0, h);
|
|
|
|
// Extended mode, copy masked part
|
|
if (maskedWords) {
|
|
for (var i = 0; i < s; i++) {
|
|
maskedWords.words[i] = this.words[i];
|
|
}
|
|
maskedWords.length = s;
|
|
}
|
|
|
|
if (s === 0) {
|
|
// No-op, we should not move anything at all
|
|
} else if (this.length > s) {
|
|
this.length -= s;
|
|
for (i = 0; i < this.length; i++) {
|
|
this.words[i] = this.words[i + s];
|
|
}
|
|
} else {
|
|
this.words[0] = 0;
|
|
this.length = 1;
|
|
}
|
|
|
|
var carry = 0;
|
|
for (i = this.length - 1; i >= 0 && (carry !== 0 || i >= h); i--) {
|
|
var word = this.words[i] | 0;
|
|
this.words[i] = (carry << (26 - r)) | (word >>> r);
|
|
carry = word & mask;
|
|
}
|
|
|
|
// Push carried bits as a mask
|
|
if (maskedWords && carry !== 0) {
|
|
maskedWords.words[maskedWords.length++] = carry;
|
|
}
|
|
|
|
if (this.length === 0) {
|
|
this.words[0] = 0;
|
|
this.length = 1;
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.ishrn = function ishrn (bits, hint, extended) {
|
|
// TODO(indutny): implement me
|
|
assert(this.negative === 0);
|
|
return this.iushrn(bits, hint, extended);
|
|
};
|
|
|
|
// Shift-left
|
|
BN.prototype.shln = function shln (bits) {
|
|
return this.clone().ishln(bits);
|
|
};
|
|
|
|
BN.prototype.ushln = function ushln (bits) {
|
|
return this.clone().iushln(bits);
|
|
};
|
|
|
|
// Shift-right
|
|
BN.prototype.shrn = function shrn (bits) {
|
|
return this.clone().ishrn(bits);
|
|
};
|
|
|
|
BN.prototype.ushrn = function ushrn (bits) {
|
|
return this.clone().iushrn(bits);
|
|
};
|
|
|
|
// Test if n bit is set
|
|
BN.prototype.testn = function testn (bit) {
|
|
assert(typeof bit === 'number' && bit >= 0);
|
|
var r = bit % 26;
|
|
var s = (bit - r) / 26;
|
|
var q = 1 << r;
|
|
|
|
// Fast case: bit is much higher than all existing words
|
|
if (this.length <= s) return false;
|
|
|
|
// Check bit and return
|
|
var w = this.words[s];
|
|
|
|
return !!(w & q);
|
|
};
|
|
|
|
// Return only lowers bits of number (in-place)
|
|
BN.prototype.imaskn = function imaskn (bits) {
|
|
assert(typeof bits === 'number' && bits >= 0);
|
|
var r = bits % 26;
|
|
var s = (bits - r) / 26;
|
|
|
|
assert(this.negative === 0, 'imaskn works only with positive numbers');
|
|
|
|
if (this.length <= s) {
|
|
return this;
|
|
}
|
|
|
|
if (r !== 0) {
|
|
s++;
|
|
}
|
|
this.length = Math.min(s, this.length);
|
|
|
|
if (r !== 0) {
|
|
var mask = 0x3ffffff ^ ((0x3ffffff >>> r) << r);
|
|
this.words[this.length - 1] &= mask;
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
// Return only lowers bits of number
|
|
BN.prototype.maskn = function maskn (bits) {
|
|
return this.clone().imaskn(bits);
|
|
};
|
|
|
|
// Add plain number `num` to `this`
|
|
BN.prototype.iaddn = function iaddn (num) {
|
|
assert(typeof num === 'number');
|
|
assert(num < 0x4000000);
|
|
if (num < 0) return this.isubn(-num);
|
|
|
|
// Possible sign change
|
|
if (this.negative !== 0) {
|
|
if (this.length === 1 && (this.words[0] | 0) < num) {
|
|
this.words[0] = num - (this.words[0] | 0);
|
|
this.negative = 0;
|
|
return this;
|
|
}
|
|
|
|
this.negative = 0;
|
|
this.isubn(num);
|
|
this.negative = 1;
|
|
return this;
|
|
}
|
|
|
|
// Add without checks
|
|
return this._iaddn(num);
|
|
};
|
|
|
|
BN.prototype._iaddn = function _iaddn (num) {
|
|
this.words[0] += num;
|
|
|
|
// Carry
|
|
for (var i = 0; i < this.length && this.words[i] >= 0x4000000; i++) {
|
|
this.words[i] -= 0x4000000;
|
|
if (i === this.length - 1) {
|
|
this.words[i + 1] = 1;
|
|
} else {
|
|
this.words[i + 1]++;
|
|
}
|
|
}
|
|
this.length = Math.max(this.length, i + 1);
|
|
|
|
return this;
|
|
};
|
|
|
|
// Subtract plain number `num` from `this`
|
|
BN.prototype.isubn = function isubn (num) {
|
|
assert(typeof num === 'number');
|
|
assert(num < 0x4000000);
|
|
if (num < 0) return this.iaddn(-num);
|
|
|
|
if (this.negative !== 0) {
|
|
this.negative = 0;
|
|
this.iaddn(num);
|
|
this.negative = 1;
|
|
return this;
|
|
}
|
|
|
|
this.words[0] -= num;
|
|
|
|
if (this.length === 1 && this.words[0] < 0) {
|
|
this.words[0] = -this.words[0];
|
|
this.negative = 1;
|
|
} else {
|
|
// Carry
|
|
for (var i = 0; i < this.length && this.words[i] < 0; i++) {
|
|
this.words[i] += 0x4000000;
|
|
this.words[i + 1] -= 1;
|
|
}
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.addn = function addn (num) {
|
|
return this.clone().iaddn(num);
|
|
};
|
|
|
|
BN.prototype.subn = function subn (num) {
|
|
return this.clone().isubn(num);
|
|
};
|
|
|
|
BN.prototype.iabs = function iabs () {
|
|
this.negative = 0;
|
|
|
|
return this;
|
|
};
|
|
|
|
BN.prototype.abs = function abs () {
|
|
return this.clone().iabs();
|
|
};
|
|
|
|
BN.prototype._ishlnsubmul = function _ishlnsubmul (num, mul, shift) {
|
|
var len = num.length + shift;
|
|
var i;
|
|
|
|
this._expand(len);
|
|
|
|
var w;
|
|
var carry = 0;
|
|
for (i = 0; i < num.length; i++) {
|
|
w = (this.words[i + shift] | 0) + carry;
|
|
var right = (num.words[i] | 0) * mul;
|
|
w -= right & 0x3ffffff;
|
|
carry = (w >> 26) - ((right / 0x4000000) | 0);
|
|
this.words[i + shift] = w & 0x3ffffff;
|
|
}
|
|
for (; i < this.length - shift; i++) {
|
|
w = (this.words[i + shift] | 0) + carry;
|
|
carry = w >> 26;
|
|
this.words[i + shift] = w & 0x3ffffff;
|
|
}
|
|
|
|
if (carry === 0) return this.strip();
|
|
|
|
// Subtraction overflow
|
|
assert(carry === -1);
|
|
carry = 0;
|
|
for (i = 0; i < this.length; i++) {
|
|
w = -(this.words[i] | 0) + carry;
|
|
carry = w >> 26;
|
|
this.words[i] = w & 0x3ffffff;
|
|
}
|
|
this.negative = 1;
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype._wordDiv = function _wordDiv (num, mode) {
|
|
var shift = this.length - num.length;
|
|
|
|
var a = this.clone();
|
|
var b = num;
|
|
|
|
// Normalize
|
|
var bhi = b.words[b.length - 1] | 0;
|
|
var bhiBits = this._countBits(bhi);
|
|
shift = 26 - bhiBits;
|
|
if (shift !== 0) {
|
|
b = b.ushln(shift);
|
|
a.iushln(shift);
|
|
bhi = b.words[b.length - 1] | 0;
|
|
}
|
|
|
|
// Initialize quotient
|
|
var m = a.length - b.length;
|
|
var q;
|
|
|
|
if (mode !== 'mod') {
|
|
q = new BN(null);
|
|
q.length = m + 1;
|
|
q.words = new Array(q.length);
|
|
for (var i = 0; i < q.length; i++) {
|
|
q.words[i] = 0;
|
|
}
|
|
}
|
|
|
|
var diff = a.clone()._ishlnsubmul(b, 1, m);
|
|
if (diff.negative === 0) {
|
|
a = diff;
|
|
if (q) {
|
|
q.words[m] = 1;
|
|
}
|
|
}
|
|
|
|
for (var j = m - 1; j >= 0; j--) {
|
|
var qj = (a.words[b.length + j] | 0) * 0x4000000 +
|
|
(a.words[b.length + j - 1] | 0);
|
|
|
|
// NOTE: (qj / bhi) is (0x3ffffff * 0x4000000 + 0x3ffffff) / 0x2000000 max
|
|
// (0x7ffffff)
|
|
qj = Math.min((qj / bhi) | 0, 0x3ffffff);
|
|
|
|
a._ishlnsubmul(b, qj, j);
|
|
while (a.negative !== 0) {
|
|
qj--;
|
|
a.negative = 0;
|
|
a._ishlnsubmul(b, 1, j);
|
|
if (!a.isZero()) {
|
|
a.negative ^= 1;
|
|
}
|
|
}
|
|
if (q) {
|
|
q.words[j] = qj;
|
|
}
|
|
}
|
|
if (q) {
|
|
q.strip();
|
|
}
|
|
a.strip();
|
|
|
|
// Denormalize
|
|
if (mode !== 'div' && shift !== 0) {
|
|
a.iushrn(shift);
|
|
}
|
|
|
|
return {
|
|
div: q || null,
|
|
mod: a
|
|
};
|
|
};
|
|
|
|
// NOTE: 1) `mode` can be set to `mod` to request mod only,
|
|
// to `div` to request div only, or be absent to
|
|
// request both div & mod
|
|
// 2) `positive` is true if unsigned mod is requested
|
|
BN.prototype.divmod = function divmod (num, mode, positive) {
|
|
assert(!num.isZero());
|
|
|
|
if (this.isZero()) {
|
|
return {
|
|
div: new BN(0),
|
|
mod: new BN(0)
|
|
};
|
|
}
|
|
|
|
var div, mod, res;
|
|
if (this.negative !== 0 && num.negative === 0) {
|
|
res = this.neg().divmod(num, mode);
|
|
|
|
if (mode !== 'mod') {
|
|
div = res.div.neg();
|
|
}
|
|
|
|
if (mode !== 'div') {
|
|
mod = res.mod.neg();
|
|
if (positive && mod.negative !== 0) {
|
|
mod.iadd(num);
|
|
}
|
|
}
|
|
|
|
return {
|
|
div: div,
|
|
mod: mod
|
|
};
|
|
}
|
|
|
|
if (this.negative === 0 && num.negative !== 0) {
|
|
res = this.divmod(num.neg(), mode);
|
|
|
|
if (mode !== 'mod') {
|
|
div = res.div.neg();
|
|
}
|
|
|
|
return {
|
|
div: div,
|
|
mod: res.mod
|
|
};
|
|
}
|
|
|
|
if ((this.negative & num.negative) !== 0) {
|
|
res = this.neg().divmod(num.neg(), mode);
|
|
|
|
if (mode !== 'div') {
|
|
mod = res.mod.neg();
|
|
if (positive && mod.negative !== 0) {
|
|
mod.isub(num);
|
|
}
|
|
}
|
|
|
|
return {
|
|
div: res.div,
|
|
mod: mod
|
|
};
|
|
}
|
|
|
|
// Both numbers are positive at this point
|
|
|
|
// Strip both numbers to approximate shift value
|
|
if (num.length > this.length || this.cmp(num) < 0) {
|
|
return {
|
|
div: new BN(0),
|
|
mod: this
|
|
};
|
|
}
|
|
|
|
// Very short reduction
|
|
if (num.length === 1) {
|
|
if (mode === 'div') {
|
|
return {
|
|
div: this.divn(num.words[0]),
|
|
mod: null
|
|
};
|
|
}
|
|
|
|
if (mode === 'mod') {
|
|
return {
|
|
div: null,
|
|
mod: new BN(this.modn(num.words[0]))
|
|
};
|
|
}
|
|
|
|
return {
|
|
div: this.divn(num.words[0]),
|
|
mod: new BN(this.modn(num.words[0]))
|
|
};
|
|
}
|
|
|
|
return this._wordDiv(num, mode);
|
|
};
|
|
|
|
// Find `this` / `num`
|
|
BN.prototype.div = function div (num) {
|
|
return this.divmod(num, 'div', false).div;
|
|
};
|
|
|
|
// Find `this` % `num`
|
|
BN.prototype.mod = function mod (num) {
|
|
return this.divmod(num, 'mod', false).mod;
|
|
};
|
|
|
|
BN.prototype.umod = function umod (num) {
|
|
return this.divmod(num, 'mod', true).mod;
|
|
};
|
|
|
|
// Find Round(`this` / `num`)
|
|
BN.prototype.divRound = function divRound (num) {
|
|
var dm = this.divmod(num);
|
|
|
|
// Fast case - exact division
|
|
if (dm.mod.isZero()) return dm.div;
|
|
|
|
var mod = dm.div.negative !== 0 ? dm.mod.isub(num) : dm.mod;
|
|
|
|
var half = num.ushrn(1);
|
|
var r2 = num.andln(1);
|
|
var cmp = mod.cmp(half);
|
|
|
|
// Round down
|
|
if (cmp < 0 || r2 === 1 && cmp === 0) return dm.div;
|
|
|
|
// Round up
|
|
return dm.div.negative !== 0 ? dm.div.isubn(1) : dm.div.iaddn(1);
|
|
};
|
|
|
|
BN.prototype.modn = function modn (num) {
|
|
assert(num <= 0x3ffffff);
|
|
var p = (1 << 26) % num;
|
|
|
|
var acc = 0;
|
|
for (var i = this.length - 1; i >= 0; i--) {
|
|
acc = (p * acc + (this.words[i] | 0)) % num;
|
|
}
|
|
|
|
return acc;
|
|
};
|
|
|
|
// In-place division by number
|
|
BN.prototype.idivn = function idivn (num) {
|
|
assert(num <= 0x3ffffff);
|
|
|
|
var carry = 0;
|
|
for (var i = this.length - 1; i >= 0; i--) {
|
|
var w = (this.words[i] | 0) + carry * 0x4000000;
|
|
this.words[i] = (w / num) | 0;
|
|
carry = w % num;
|
|
}
|
|
|
|
return this.strip();
|
|
};
|
|
|
|
BN.prototype.divn = function divn (num) {
|
|
return this.clone().idivn(num);
|
|
};
|
|
|
|
BN.prototype.egcd = function egcd (p) {
|
|
assert(p.negative === 0);
|
|
assert(!p.isZero());
|
|
|
|
var x = this;
|
|
var y = p.clone();
|
|
|
|
if (x.negative !== 0) {
|
|
x = x.umod(p);
|
|
} else {
|
|
x = x.clone();
|
|
}
|
|
|
|
// A * x + B * y = x
|
|
var A = new BN(1);
|
|
var B = new BN(0);
|
|
|
|
// C * x + D * y = y
|
|
var C = new BN(0);
|
|
var D = new BN(1);
|
|
|
|
var g = 0;
|
|
|
|
while (x.isEven() && y.isEven()) {
|
|
x.iushrn(1);
|
|
y.iushrn(1);
|
|
++g;
|
|
}
|
|
|
|
var yp = y.clone();
|
|
var xp = x.clone();
|
|
|
|
while (!x.isZero()) {
|
|
for (var i = 0, im = 1; (x.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
|
|
if (i > 0) {
|
|
x.iushrn(i);
|
|
while (i-- > 0) {
|
|
if (A.isOdd() || B.isOdd()) {
|
|
A.iadd(yp);
|
|
B.isub(xp);
|
|
}
|
|
|
|
A.iushrn(1);
|
|
B.iushrn(1);
|
|
}
|
|
}
|
|
|
|
for (var j = 0, jm = 1; (y.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
|
|
if (j > 0) {
|
|
y.iushrn(j);
|
|
while (j-- > 0) {
|
|
if (C.isOdd() || D.isOdd()) {
|
|
C.iadd(yp);
|
|
D.isub(xp);
|
|
}
|
|
|
|
C.iushrn(1);
|
|
D.iushrn(1);
|
|
}
|
|
}
|
|
|
|
if (x.cmp(y) >= 0) {
|
|
x.isub(y);
|
|
A.isub(C);
|
|
B.isub(D);
|
|
} else {
|
|
y.isub(x);
|
|
C.isub(A);
|
|
D.isub(B);
|
|
}
|
|
}
|
|
|
|
return {
|
|
a: C,
|
|
b: D,
|
|
gcd: y.iushln(g)
|
|
};
|
|
};
|
|
|
|
// This is reduced incarnation of the binary EEA
|
|
// above, designated to invert members of the
|
|
// _prime_ fields F(p) at a maximal speed
|
|
BN.prototype._invmp = function _invmp (p) {
|
|
assert(p.negative === 0);
|
|
assert(!p.isZero());
|
|
|
|
var a = this;
|
|
var b = p.clone();
|
|
|
|
if (a.negative !== 0) {
|
|
a = a.umod(p);
|
|
} else {
|
|
a = a.clone();
|
|
}
|
|
|
|
var x1 = new BN(1);
|
|
var x2 = new BN(0);
|
|
|
|
var delta = b.clone();
|
|
|
|
while (a.cmpn(1) > 0 && b.cmpn(1) > 0) {
|
|
for (var i = 0, im = 1; (a.words[0] & im) === 0 && i < 26; ++i, im <<= 1);
|
|
if (i > 0) {
|
|
a.iushrn(i);
|
|
while (i-- > 0) {
|
|
if (x1.isOdd()) {
|
|
x1.iadd(delta);
|
|
}
|
|
|
|
x1.iushrn(1);
|
|
}
|
|
}
|
|
|
|
for (var j = 0, jm = 1; (b.words[0] & jm) === 0 && j < 26; ++j, jm <<= 1);
|
|
if (j > 0) {
|
|
b.iushrn(j);
|
|
while (j-- > 0) {
|
|
if (x2.isOdd()) {
|
|
x2.iadd(delta);
|
|
}
|
|
|
|
x2.iushrn(1);
|
|
}
|
|
}
|
|
|
|
if (a.cmp(b) >= 0) {
|
|
a.isub(b);
|
|
x1.isub(x2);
|
|
} else {
|
|
b.isub(a);
|
|
x2.isub(x1);
|
|
}
|
|
}
|
|
|
|
var res;
|
|
if (a.cmpn(1) === 0) {
|
|
res = x1;
|
|
} else {
|
|
res = x2;
|
|
}
|
|
|
|
if (res.cmpn(0) < 0) {
|
|
res.iadd(p);
|
|
}
|
|
|
|
return res;
|
|
};
|
|
|
|
BN.prototype.gcd = function gcd (num) {
|
|
if (this.isZero()) return num.abs();
|
|
if (num.isZero()) return this.abs();
|
|
|
|
var a = this.clone();
|
|
var b = num.clone();
|
|
a.negative = 0;
|
|
b.negative = 0;
|
|
|
|
// Remove common factor of two
|
|
for (var shift = 0; a.isEven() && b.isEven(); shift++) {
|
|
a.iushrn(1);
|
|
b.iushrn(1);
|
|
}
|
|
|
|
do {
|
|
while (a.isEven()) {
|
|
a.iushrn(1);
|
|
}
|
|
while (b.isEven()) {
|
|
b.iushrn(1);
|
|
}
|
|
|
|
var r = a.cmp(b);
|
|
if (r < 0) {
|
|
// Swap `a` and `b` to make `a` always bigger than `b`
|
|
var t = a;
|
|
a = b;
|
|
b = t;
|
|
} else if (r === 0 || b.cmpn(1) === 0) {
|
|
break;
|
|
}
|
|
|
|
a.isub(b);
|
|
} while (true);
|
|
|
|
return b.iushln(shift);
|
|
};
|
|
|
|
// Invert number in the field F(num)
|
|
BN.prototype.invm = function invm (num) {
|
|
return this.egcd(num).a.umod(num);
|
|
};
|
|
|
|
BN.prototype.isEven = function isEven () {
|
|
return (this.words[0] & 1) === 0;
|
|
};
|
|
|
|
BN.prototype.isOdd = function isOdd () {
|
|
return (this.words[0] & 1) === 1;
|
|
};
|
|
|
|
// And first word and num
|
|
BN.prototype.andln = function andln (num) {
|
|
return this.words[0] & num;
|
|
};
|
|
|
|
// Increment at the bit position in-line
|
|
BN.prototype.bincn = function bincn (bit) {
|
|
assert(typeof bit === 'number');
|
|
var r = bit % 26;
|
|
var s = (bit - r) / 26;
|
|
var q = 1 << r;
|
|
|
|
// Fast case: bit is much higher than all existing words
|
|
if (this.length <= s) {
|
|
this._expand(s + 1);
|
|
this.words[s] |= q;
|
|
return this;
|
|
}
|
|
|
|
// Add bit and propagate, if needed
|
|
var carry = q;
|
|
for (var i = s; carry !== 0 && i < this.length; i++) {
|
|
var w = this.words[i] | 0;
|
|
w += carry;
|
|
carry = w >>> 26;
|
|
w &= 0x3ffffff;
|
|
this.words[i] = w;
|
|
}
|
|
if (carry !== 0) {
|
|
this.words[i] = carry;
|
|
this.length++;
|
|
}
|
|
return this;
|
|
};
|
|
|
|
BN.prototype.isZero = function isZero () {
|
|
return this.length === 1 && this.words[0] === 0;
|
|
};
|
|
|
|
BN.prototype.cmpn = function cmpn (num) {
|
|
var negative = num < 0;
|
|
|
|
if (this.negative !== 0 && !negative) return -1;
|
|
if (this.negative === 0 && negative) return 1;
|
|
|
|
this.strip();
|
|
|
|
var res;
|
|
if (this.length > 1) {
|
|
res = 1;
|
|
} else {
|
|
if (negative) {
|
|
num = -num;
|
|
}
|
|
|
|
assert(num <= 0x3ffffff, 'Number is too big');
|
|
|
|
var w = this.words[0] | 0;
|
|
res = w === num ? 0 : w < num ? -1 : 1;
|
|
}
|
|
if (this.negative !== 0) return -res | 0;
|
|
return res;
|
|
};
|
|
|
|
// Compare two numbers and return:
|
|
// 1 - if `this` > `num`
|
|
// 0 - if `this` == `num`
|
|
// -1 - if `this` < `num`
|
|
BN.prototype.cmp = function cmp (num) {
|
|
if (this.negative !== 0 && num.negative === 0) return -1;
|
|
if (this.negative === 0 && num.negative !== 0) return 1;
|
|
|
|
var res = this.ucmp(num);
|
|
if (this.negative !== 0) return -res | 0;
|
|
return res;
|
|
};
|
|
|
|
// Unsigned comparison
|
|
BN.prototype.ucmp = function ucmp (num) {
|
|
// At this point both numbers have the same sign
|
|
if (this.length > num.length) return 1;
|
|
if (this.length < num.length) return -1;
|
|
|
|
var res = 0;
|
|
for (var i = this.length - 1; i >= 0; i--) {
|
|
var a = this.words[i] | 0;
|
|
var b = num.words[i] | 0;
|
|
|
|
if (a === b) continue;
|
|
if (a < b) {
|
|
res = -1;
|
|
} else if (a > b) {
|
|
res = 1;
|
|
}
|
|
break;
|
|
}
|
|
return res;
|
|
};
|
|
|
|
BN.prototype.gtn = function gtn (num) {
|
|
return this.cmpn(num) === 1;
|
|
};
|
|
|
|
BN.prototype.gt = function gt (num) {
|
|
return this.cmp(num) === 1;
|
|
};
|
|
|
|
BN.prototype.gten = function gten (num) {
|
|
return this.cmpn(num) >= 0;
|
|
};
|
|
|
|
BN.prototype.gte = function gte (num) {
|
|
return this.cmp(num) >= 0;
|
|
};
|
|
|
|
BN.prototype.ltn = function ltn (num) {
|
|
return this.cmpn(num) === -1;
|
|
};
|
|
|
|
BN.prototype.lt = function lt (num) {
|
|
return this.cmp(num) === -1;
|
|
};
|
|
|
|
BN.prototype.lten = function lten (num) {
|
|
return this.cmpn(num) <= 0;
|
|
};
|
|
|
|
BN.prototype.lte = function lte (num) {
|
|
return this.cmp(num) <= 0;
|
|
};
|
|
|
|
BN.prototype.eqn = function eqn (num) {
|
|
return this.cmpn(num) === 0;
|
|
};
|
|
|
|
BN.prototype.eq = function eq (num) {
|
|
return this.cmp(num) === 0;
|
|
};
|
|
|
|
//
|
|
// A reduce context, could be using montgomery or something better, depending
|
|
// on the `m` itself.
|
|
//
|
|
BN.red = function red (num) {
|
|
return new Red(num);
|
|
};
|
|
|
|
BN.prototype.toRed = function toRed (ctx) {
|
|
assert(!this.red, 'Already a number in reduction context');
|
|
assert(this.negative === 0, 'red works only with positives');
|
|
return ctx.convertTo(this)._forceRed(ctx);
|
|
};
|
|
|
|
BN.prototype.fromRed = function fromRed () {
|
|
assert(this.red, 'fromRed works only with numbers in reduction context');
|
|
return this.red.convertFrom(this);
|
|
};
|
|
|
|
BN.prototype._forceRed = function _forceRed (ctx) {
|
|
this.red = ctx;
|
|
return this;
|
|
};
|
|
|
|
BN.prototype.forceRed = function forceRed (ctx) {
|
|
assert(!this.red, 'Already a number in reduction context');
|
|
return this._forceRed(ctx);
|
|
};
|
|
|
|
BN.prototype.redAdd = function redAdd (num) {
|
|
assert(this.red, 'redAdd works only with red numbers');
|
|
return this.red.add(this, num);
|
|
};
|
|
|
|
BN.prototype.redIAdd = function redIAdd (num) {
|
|
assert(this.red, 'redIAdd works only with red numbers');
|
|
return this.red.iadd(this, num);
|
|
};
|
|
|
|
BN.prototype.redSub = function redSub (num) {
|
|
assert(this.red, 'redSub works only with red numbers');
|
|
return this.red.sub(this, num);
|
|
};
|
|
|
|
BN.prototype.redISub = function redISub (num) {
|
|
assert(this.red, 'redISub works only with red numbers');
|
|
return this.red.isub(this, num);
|
|
};
|
|
|
|
BN.prototype.redShl = function redShl (num) {
|
|
assert(this.red, 'redShl works only with red numbers');
|
|
return this.red.shl(this, num);
|
|
};
|
|
|
|
BN.prototype.redMul = function redMul (num) {
|
|
assert(this.red, 'redMul works only with red numbers');
|
|
this.red._verify2(this, num);
|
|
return this.red.mul(this, num);
|
|
};
|
|
|
|
BN.prototype.redIMul = function redIMul (num) {
|
|
assert(this.red, 'redMul works only with red numbers');
|
|
this.red._verify2(this, num);
|
|
return this.red.imul(this, num);
|
|
};
|
|
|
|
BN.prototype.redSqr = function redSqr () {
|
|
assert(this.red, 'redSqr works only with red numbers');
|
|
this.red._verify1(this);
|
|
return this.red.sqr(this);
|
|
};
|
|
|
|
BN.prototype.redISqr = function redISqr () {
|
|
assert(this.red, 'redISqr works only with red numbers');
|
|
this.red._verify1(this);
|
|
return this.red.isqr(this);
|
|
};
|
|
|
|
// Square root over p
|
|
BN.prototype.redSqrt = function redSqrt () {
|
|
assert(this.red, 'redSqrt works only with red numbers');
|
|
this.red._verify1(this);
|
|
return this.red.sqrt(this);
|
|
};
|
|
|
|
BN.prototype.redInvm = function redInvm () {
|
|
assert(this.red, 'redInvm works only with red numbers');
|
|
this.red._verify1(this);
|
|
return this.red.invm(this);
|
|
};
|
|
|
|
// Return negative clone of `this` % `red modulo`
|
|
BN.prototype.redNeg = function redNeg () {
|
|
assert(this.red, 'redNeg works only with red numbers');
|
|
this.red._verify1(this);
|
|
return this.red.neg(this);
|
|
};
|
|
|
|
BN.prototype.redPow = function redPow (num) {
|
|
assert(this.red && !num.red, 'redPow(normalNum)');
|
|
this.red._verify1(this);
|
|
return this.red.pow(this, num);
|
|
};
|
|
|
|
// Prime numbers with efficient reduction
|
|
var primes = {
|
|
k256: null,
|
|
p224: null,
|
|
p192: null,
|
|
p25519: null
|
|
};
|
|
|
|
// Pseudo-Mersenne prime
|
|
function MPrime (name, p) {
|
|
// P = 2 ^ N - K
|
|
this.name = name;
|
|
this.p = new BN(p, 16);
|
|
this.n = this.p.bitLength();
|
|
this.k = new BN(1).iushln(this.n).isub(this.p);
|
|
|
|
this.tmp = this._tmp();
|
|
}
|
|
|
|
MPrime.prototype._tmp = function _tmp () {
|
|
var tmp = new BN(null);
|
|
tmp.words = new Array(Math.ceil(this.n / 13));
|
|
return tmp;
|
|
};
|
|
|
|
MPrime.prototype.ireduce = function ireduce (num) {
|
|
// Assumes that `num` is less than `P^2`
|
|
// num = HI * (2 ^ N - K) + HI * K + LO = HI * K + LO (mod P)
|
|
var r = num;
|
|
var rlen;
|
|
|
|
do {
|
|
this.split(r, this.tmp);
|
|
r = this.imulK(r);
|
|
r = r.iadd(this.tmp);
|
|
rlen = r.bitLength();
|
|
} while (rlen > this.n);
|
|
|
|
var cmp = rlen < this.n ? -1 : r.ucmp(this.p);
|
|
if (cmp === 0) {
|
|
r.words[0] = 0;
|
|
r.length = 1;
|
|
} else if (cmp > 0) {
|
|
r.isub(this.p);
|
|
} else {
|
|
r.strip();
|
|
}
|
|
|
|
return r;
|
|
};
|
|
|
|
MPrime.prototype.split = function split (input, out) {
|
|
input.iushrn(this.n, 0, out);
|
|
};
|
|
|
|
MPrime.prototype.imulK = function imulK (num) {
|
|
return num.imul(this.k);
|
|
};
|
|
|
|
function K256 () {
|
|
MPrime.call(
|
|
this,
|
|
'k256',
|
|
'ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f');
|
|
}
|
|
inherits(K256, MPrime);
|
|
|
|
K256.prototype.split = function split (input, output) {
|
|
// 256 = 9 * 26 + 22
|
|
var mask = 0x3fffff;
|
|
|
|
var outLen = Math.min(input.length, 9);
|
|
for (var i = 0; i < outLen; i++) {
|
|
output.words[i] = input.words[i];
|
|
}
|
|
output.length = outLen;
|
|
|
|
if (input.length <= 9) {
|
|
input.words[0] = 0;
|
|
input.length = 1;
|
|
return;
|
|
}
|
|
|
|
// Shift by 9 limbs
|
|
var prev = input.words[9];
|
|
output.words[output.length++] = prev & mask;
|
|
|
|
for (i = 10; i < input.length; i++) {
|
|
var next = input.words[i] | 0;
|
|
input.words[i - 10] = ((next & mask) << 4) | (prev >>> 22);
|
|
prev = next;
|
|
}
|
|
prev >>>= 22;
|
|
input.words[i - 10] = prev;
|
|
if (prev === 0 && input.length > 10) {
|
|
input.length -= 10;
|
|
} else {
|
|
input.length -= 9;
|
|
}
|
|
};
|
|
|
|
K256.prototype.imulK = function imulK (num) {
|
|
// K = 0x1000003d1 = [ 0x40, 0x3d1 ]
|
|
num.words[num.length] = 0;
|
|
num.words[num.length + 1] = 0;
|
|
num.length += 2;
|
|
|
|
// bounded at: 0x40 * 0x3ffffff + 0x3d0 = 0x100000390
|
|
var lo = 0;
|
|
for (var i = 0; i < num.length; i++) {
|
|
var w = num.words[i] | 0;
|
|
lo += w * 0x3d1;
|
|
num.words[i] = lo & 0x3ffffff;
|
|
lo = w * 0x40 + ((lo / 0x4000000) | 0);
|
|
}
|
|
|
|
// Fast length reduction
|
|
if (num.words[num.length - 1] === 0) {
|
|
num.length--;
|
|
if (num.words[num.length - 1] === 0) {
|
|
num.length--;
|
|
}
|
|
}
|
|
return num;
|
|
};
|
|
|
|
function P224 () {
|
|
MPrime.call(
|
|
this,
|
|
'p224',
|
|
'ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001');
|
|
}
|
|
inherits(P224, MPrime);
|
|
|
|
function P192 () {
|
|
MPrime.call(
|
|
this,
|
|
'p192',
|
|
'ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff');
|
|
}
|
|
inherits(P192, MPrime);
|
|
|
|
function P25519 () {
|
|
// 2 ^ 255 - 19
|
|
MPrime.call(
|
|
this,
|
|
'25519',
|
|
'7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed');
|
|
}
|
|
inherits(P25519, MPrime);
|
|
|
|
P25519.prototype.imulK = function imulK (num) {
|
|
// K = 0x13
|
|
var carry = 0;
|
|
for (var i = 0; i < num.length; i++) {
|
|
var hi = (num.words[i] | 0) * 0x13 + carry;
|
|
var lo = hi & 0x3ffffff;
|
|
hi >>>= 26;
|
|
|
|
num.words[i] = lo;
|
|
carry = hi;
|
|
}
|
|
if (carry !== 0) {
|
|
num.words[num.length++] = carry;
|
|
}
|
|
return num;
|
|
};
|
|
|
|
// Exported mostly for testing purposes, use plain name instead
|
|
BN._prime = function prime (name) {
|
|
// Cached version of prime
|
|
if (primes[name]) return primes[name];
|
|
|
|
var prime;
|
|
if (name === 'k256') {
|
|
prime = new K256();
|
|
} else if (name === 'p224') {
|
|
prime = new P224();
|
|
} else if (name === 'p192') {
|
|
prime = new P192();
|
|
} else if (name === 'p25519') {
|
|
prime = new P25519();
|
|
} else {
|
|
throw new Error('Unknown prime ' + name);
|
|
}
|
|
primes[name] = prime;
|
|
|
|
return prime;
|
|
};
|
|
|
|
//
|
|
// Base reduction engine
|
|
//
|
|
function Red (m) {
|
|
if (typeof m === 'string') {
|
|
var prime = BN._prime(m);
|
|
this.m = prime.p;
|
|
this.prime = prime;
|
|
} else {
|
|
assert(m.gtn(1), 'modulus must be greater than 1');
|
|
this.m = m;
|
|
this.prime = null;
|
|
}
|
|
}
|
|
|
|
Red.prototype._verify1 = function _verify1 (a) {
|
|
assert(a.negative === 0, 'red works only with positives');
|
|
assert(a.red, 'red works only with red numbers');
|
|
};
|
|
|
|
Red.prototype._verify2 = function _verify2 (a, b) {
|
|
assert((a.negative | b.negative) === 0, 'red works only with positives');
|
|
assert(a.red && a.red === b.red,
|
|
'red works only with red numbers');
|
|
};
|
|
|
|
Red.prototype.imod = function imod (a) {
|
|
if (this.prime) return this.prime.ireduce(a)._forceRed(this);
|
|
return a.umod(this.m)._forceRed(this);
|
|
};
|
|
|
|
Red.prototype.neg = function neg (a) {
|
|
if (a.isZero()) {
|
|
return a.clone();
|
|
}
|
|
|
|
return this.m.sub(a)._forceRed(this);
|
|
};
|
|
|
|
Red.prototype.add = function add (a, b) {
|
|
this._verify2(a, b);
|
|
|
|
var res = a.add(b);
|
|
if (res.cmp(this.m) >= 0) {
|
|
res.isub(this.m);
|
|
}
|
|
return res._forceRed(this);
|
|
};
|
|
|
|
Red.prototype.iadd = function iadd (a, b) {
|
|
this._verify2(a, b);
|
|
|
|
var res = a.iadd(b);
|
|
if (res.cmp(this.m) >= 0) {
|
|
res.isub(this.m);
|
|
}
|
|
return res;
|
|
};
|
|
|
|
Red.prototype.sub = function sub (a, b) {
|
|
this._verify2(a, b);
|
|
|
|
var res = a.sub(b);
|
|
if (res.cmpn(0) < 0) {
|
|
res.iadd(this.m);
|
|
}
|
|
return res._forceRed(this);
|
|
};
|
|
|
|
Red.prototype.isub = function isub (a, b) {
|
|
this._verify2(a, b);
|
|
|
|
var res = a.isub(b);
|
|
if (res.cmpn(0) < 0) {
|
|
res.iadd(this.m);
|
|
}
|
|
return res;
|
|
};
|
|
|
|
Red.prototype.shl = function shl (a, num) {
|
|
this._verify1(a);
|
|
return this.imod(a.ushln(num));
|
|
};
|
|
|
|
Red.prototype.imul = function imul (a, b) {
|
|
this._verify2(a, b);
|
|
return this.imod(a.imul(b));
|
|
};
|
|
|
|
Red.prototype.mul = function mul (a, b) {
|
|
this._verify2(a, b);
|
|
return this.imod(a.mul(b));
|
|
};
|
|
|
|
Red.prototype.isqr = function isqr (a) {
|
|
return this.imul(a, a.clone());
|
|
};
|
|
|
|
Red.prototype.sqr = function sqr (a) {
|
|
return this.mul(a, a);
|
|
};
|
|
|
|
Red.prototype.sqrt = function sqrt (a) {
|
|
if (a.isZero()) return a.clone();
|
|
|
|
var mod3 = this.m.andln(3);
|
|
assert(mod3 % 2 === 1);
|
|
|
|
// Fast case
|
|
if (mod3 === 3) {
|
|
var pow = this.m.add(new BN(1)).iushrn(2);
|
|
return this.pow(a, pow);
|
|
}
|
|
|
|
// Tonelli-Shanks algorithm (Totally unoptimized and slow)
|
|
//
|
|
// Find Q and S, that Q * 2 ^ S = (P - 1)
|
|
var q = this.m.subn(1);
|
|
var s = 0;
|
|
while (!q.isZero() && q.andln(1) === 0) {
|
|
s++;
|
|
q.iushrn(1);
|
|
}
|
|
assert(!q.isZero());
|
|
|
|
var one = new BN(1).toRed(this);
|
|
var nOne = one.redNeg();
|
|
|
|
// Find quadratic non-residue
|
|
// NOTE: Max is such because of generalized Riemann hypothesis.
|
|
var lpow = this.m.subn(1).iushrn(1);
|
|
var z = this.m.bitLength();
|
|
z = new BN(2 * z * z).toRed(this);
|
|
|
|
while (this.pow(z, lpow).cmp(nOne) !== 0) {
|
|
z.redIAdd(nOne);
|
|
}
|
|
|
|
var c = this.pow(z, q);
|
|
var r = this.pow(a, q.addn(1).iushrn(1));
|
|
var t = this.pow(a, q);
|
|
var m = s;
|
|
while (t.cmp(one) !== 0) {
|
|
var tmp = t;
|
|
for (var i = 0; tmp.cmp(one) !== 0; i++) {
|
|
tmp = tmp.redSqr();
|
|
}
|
|
assert(i < m);
|
|
var b = this.pow(c, new BN(1).iushln(m - i - 1));
|
|
|
|
r = r.redMul(b);
|
|
c = b.redSqr();
|
|
t = t.redMul(c);
|
|
m = i;
|
|
}
|
|
|
|
return r;
|
|
};
|
|
|
|
Red.prototype.invm = function invm (a) {
|
|
var inv = a._invmp(this.m);
|
|
if (inv.negative !== 0) {
|
|
inv.negative = 0;
|
|
return this.imod(inv).redNeg();
|
|
} else {
|
|
return this.imod(inv);
|
|
}
|
|
};
|
|
|
|
Red.prototype.pow = function pow (a, num) {
|
|
if (num.isZero()) return new BN(1);
|
|
if (num.cmpn(1) === 0) return a.clone();
|
|
|
|
var windowSize = 4;
|
|
var wnd = new Array(1 << windowSize);
|
|
wnd[0] = new BN(1).toRed(this);
|
|
wnd[1] = a;
|
|
for (var i = 2; i < wnd.length; i++) {
|
|
wnd[i] = this.mul(wnd[i - 1], a);
|
|
}
|
|
|
|
var res = wnd[0];
|
|
var current = 0;
|
|
var currentLen = 0;
|
|
var start = num.bitLength() % 26;
|
|
if (start === 0) {
|
|
start = 26;
|
|
}
|
|
|
|
for (i = num.length - 1; i >= 0; i--) {
|
|
var word = num.words[i];
|
|
for (var j = start - 1; j >= 0; j--) {
|
|
var bit = (word >> j) & 1;
|
|
if (res !== wnd[0]) {
|
|
res = this.sqr(res);
|
|
}
|
|
|
|
if (bit === 0 && current === 0) {
|
|
currentLen = 0;
|
|
continue;
|
|
}
|
|
|
|
current <<= 1;
|
|
current |= bit;
|
|
currentLen++;
|
|
if (currentLen !== windowSize && (i !== 0 || j !== 0)) continue;
|
|
|
|
res = this.mul(res, wnd[current]);
|
|
currentLen = 0;
|
|
current = 0;
|
|
}
|
|
start = 26;
|
|
}
|
|
|
|
return res;
|
|
};
|
|
|
|
Red.prototype.convertTo = function convertTo (num) {
|
|
var r = num.umod(this.m);
|
|
|
|
return r === num ? r.clone() : r;
|
|
};
|
|
|
|
Red.prototype.convertFrom = function convertFrom (num) {
|
|
var res = num.clone();
|
|
res.red = null;
|
|
return res;
|
|
};
|
|
|
|
//
|
|
// Montgomery method engine
|
|
//
|
|
|
|
BN.mont = function mont (num) {
|
|
return new Mont(num);
|
|
};
|
|
|
|
function Mont (m) {
|
|
Red.call(this, m);
|
|
|
|
this.shift = this.m.bitLength();
|
|
if (this.shift % 26 !== 0) {
|
|
this.shift += 26 - (this.shift % 26);
|
|
}
|
|
|
|
this.r = new BN(1).iushln(this.shift);
|
|
this.r2 = this.imod(this.r.sqr());
|
|
this.rinv = this.r._invmp(this.m);
|
|
|
|
this.minv = this.rinv.mul(this.r).isubn(1).div(this.m);
|
|
this.minv = this.minv.umod(this.r);
|
|
this.minv = this.r.sub(this.minv);
|
|
}
|
|
inherits(Mont, Red);
|
|
|
|
Mont.prototype.convertTo = function convertTo (num) {
|
|
return this.imod(num.ushln(this.shift));
|
|
};
|
|
|
|
Mont.prototype.convertFrom = function convertFrom (num) {
|
|
var r = this.imod(num.mul(this.rinv));
|
|
r.red = null;
|
|
return r;
|
|
};
|
|
|
|
Mont.prototype.imul = function imul (a, b) {
|
|
if (a.isZero() || b.isZero()) {
|
|
a.words[0] = 0;
|
|
a.length = 1;
|
|
return a;
|
|
}
|
|
|
|
var t = a.imul(b);
|
|
var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
|
|
var u = t.isub(c).iushrn(this.shift);
|
|
var res = u;
|
|
|
|
if (u.cmp(this.m) >= 0) {
|
|
res = u.isub(this.m);
|
|
} else if (u.cmpn(0) < 0) {
|
|
res = u.iadd(this.m);
|
|
}
|
|
|
|
return res._forceRed(this);
|
|
};
|
|
|
|
Mont.prototype.mul = function mul (a, b) {
|
|
if (a.isZero() || b.isZero()) return new BN(0)._forceRed(this);
|
|
|
|
var t = a.mul(b);
|
|
var c = t.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m);
|
|
var u = t.isub(c).iushrn(this.shift);
|
|
var res = u;
|
|
if (u.cmp(this.m) >= 0) {
|
|
res = u.isub(this.m);
|
|
} else if (u.cmpn(0) < 0) {
|
|
res = u.iadd(this.m);
|
|
}
|
|
|
|
return res._forceRed(this);
|
|
};
|
|
|
|
Mont.prototype.invm = function invm (a) {
|
|
// (AR)^-1 * R^2 = (A^-1 * R^-1) * R^2 = A^-1 * R
|
|
var res = this.imod(a._invmp(this.m).mul(this.r2));
|
|
return res._forceRed(this);
|
|
};
|
|
})(typeof module === 'undefined' || module, this);
|
|
|
|
/* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(10)(module)))
|
|
|
|
/***/ },
|
|
/* 1 */
|
|
/***/ function(module, exports, __webpack_require__) {
|
|
|
|
"use strict";
|
|
/* WEBPACK VAR INJECTION */(function(Buffer, global) {/*!
|
|
* The buffer module from node.js, for the browser.
|
|
*
|
|
* @author Feross Aboukhadijeh <feross@feross.org> <http://feross.org>
|
|
* @license MIT
|
|
*/
|
|
/* eslint-disable no-proto */
|
|
|
|
'use strict'
|
|
|
|
var base64 = __webpack_require__(4)
|
|
var ieee754 = __webpack_require__(5)
|
|
var isArray = __webpack_require__(7)
|
|
|
|
exports.Buffer = Buffer
|
|
exports.SlowBuffer = SlowBuffer
|
|
exports.INSPECT_MAX_BYTES = 50
|
|
|
|
/**
|
|
* 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.
|
|
|
|
* 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()
|
|
|
|
/*
|
|
* Export kMaxLength after typed array support is determined.
|
|
*/
|
|
exports.kMaxLength = kMaxLength()
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
function kMaxLength () {
|
|
return Buffer.TYPED_ARRAY_SUPPORT
|
|
? 0x7fffffff
|
|
: 0x3fffffff
|
|
}
|
|
|
|
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)
|
|
}
|
|
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.
|
|
*/
|
|
|
|
function Buffer (arg, encodingOrOffset, length) {
|
|
if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) {
|
|
return new Buffer(arg, encodingOrOffset, length)
|
|
}
|
|
|
|
// 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)
|
|
}
|
|
|
|
Buffer.poolSize = 8192 // not used by this implementation
|
|
|
|
// TODO: Legacy, not needed anymore. Remove in next major version.
|
|
Buffer._augment = function (arr) {
|
|
arr.__proto__ = Buffer.prototype
|
|
return arr
|
|
}
|
|
|
|
function from (that, value, encodingOrOffset, length) {
|
|
if (typeof value === 'number') {
|
|
throw new TypeError('"value" argument must not be a number')
|
|
}
|
|
|
|
if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) {
|
|
return fromArrayBuffer(that, value, encodingOrOffset, length)
|
|
}
|
|
|
|
if (typeof value === 'string') {
|
|
return fromString(that, value, encodingOrOffset)
|
|
}
|
|
|
|
return fromObject(that, value)
|
|
}
|
|
|
|
/**
|
|
* 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 (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
|
|
})
|
|
}
|
|
}
|
|
|
|
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')
|
|
}
|
|
}
|
|
|
|
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)
|
|
}
|
|
|
|
/**
|
|
* Creates a new filled Buffer instance.
|
|
* alloc(size[, fill[, encoding]])
|
|
**/
|
|
Buffer.alloc = function (size, fill, encoding) {
|
|
return alloc(null, size, fill, encoding)
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
/**
|
|
* 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)
|
|
|
|
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)
|
|
}
|
|
|
|
return that
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
function fromArrayBuffer (that, array, byteOffset, length) {
|
|
array.byteLength // this throws if `array` is not a valid ArrayBuffer
|
|
|
|
if (byteOffset < 0 || array.byteLength < byteOffset) {
|
|
throw new RangeError('\'offset\' is out of bounds')
|
|
}
|
|
|
|
if (array.byteLength < byteOffset + (length || 0)) {
|
|
throw new RangeError('\'length\' is out of bounds')
|
|
}
|
|
|
|
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)
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
function fromObject (that, obj) {
|
|
if (Buffer.isBuffer(obj)) {
|
|
var len = checked(obj.length) | 0
|
|
that = createBuffer(that, len)
|
|
|
|
if (that.length === 0) {
|
|
return that
|
|
}
|
|
|
|
obj.copy(that, 0, 0, len)
|
|
return that
|
|
}
|
|
|
|
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)
|
|
}
|
|
|
|
if (obj.type === 'Buffer' && isArray(obj.data)) {
|
|
return fromArrayLike(that, obj.data)
|
|
}
|
|
}
|
|
|
|
throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.')
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
function SlowBuffer (length) {
|
|
if (+length != length) { // eslint-disable-line eqeqeq
|
|
length = 0
|
|
}
|
|
return Buffer.alloc(+length)
|
|
}
|
|
|
|
Buffer.isBuffer = function isBuffer (b) {
|
|
return !!(b != null && b._isBuffer)
|
|
}
|
|
|
|
Buffer.compare = function compare (a, b) {
|
|
if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {
|
|
throw new TypeError('Arguments must be Buffers')
|
|
}
|
|
|
|
if (a === b) return 0
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
if (x < y) return -1
|
|
if (y < x) return 1
|
|
return 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
|
|
}
|
|
}
|
|
|
|
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')
|
|
}
|
|
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
|
|
}
|
|
|
|
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
|
|
}
|
|
}
|
|
}
|
|
Buffer.byteLength = byteLength
|
|
|
|
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.
|
|
|
|
// 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 (end === undefined || end > this.length) {
|
|
end = this.length
|
|
}
|
|
|
|
if (end <= 0) {
|
|
return ''
|
|
}
|
|
|
|
// Force coersion to uint32. This will also coerce falsey/NaN values to 0.
|
|
end >>>= 0
|
|
start >>>= 0
|
|
|
|
if (end <= start) {
|
|
return ''
|
|
}
|
|
|
|
if (!encoding) encoding = 'utf8'
|
|
|
|
while (true) {
|
|
switch (encoding) {
|
|
case 'hex':
|
|
return hexSlice(this, start, end)
|
|
|
|
case 'utf8':
|
|
case 'utf-8':
|
|
return utf8Slice(this, start, end)
|
|
|
|
case 'ascii':
|
|
return asciiSlice(this, start, end)
|
|
|
|
case 'latin1':
|
|
case 'binary':
|
|
return latin1Slice(this, start, end)
|
|
|
|
case 'base64':
|
|
return base64Slice(this, start, end)
|
|
|
|
case 'ucs2':
|
|
case 'ucs-2':
|
|
case 'utf16le':
|
|
case 'utf-16le':
|
|
return utf16leSlice(this, start, end)
|
|
|
|
default:
|
|
if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
|
|
encoding = (encoding + '').toLowerCase()
|
|
loweredCase = true
|
|
}
|
|
}
|
|
}
|
|
|
|
// The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect
|
|
// Buffer instances.
|
|
Buffer.prototype._isBuffer = true
|
|
|
|
function swap (b, n, m) {
|
|
var i = b[n]
|
|
b[n] = b[m]
|
|
b[m] = i
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
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)
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
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 '<Buffer ' + str + '>'
|
|
}
|
|
|
|
Buffer.prototype.compare = function compare (target, start, end, thisStart, thisEnd) {
|
|
if (!Buffer.isBuffer(target)) {
|
|
throw new TypeError('Argument must be a Buffer')
|
|
}
|
|
|
|
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 (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {
|
|
throw new RangeError('out of range index')
|
|
}
|
|
|
|
if (thisStart >= thisEnd && start >= end) {
|
|
return 0
|
|
}
|
|
if (thisStart >= thisEnd) {
|
|
return -1
|
|
}
|
|
if (start >= end) {
|
|
return 1
|
|
}
|
|
|
|
start >>>= 0
|
|
end >>>= 0
|
|
thisStart >>>= 0
|
|
thisEnd >>>= 0
|
|
|
|
if (this === target) return 0
|
|
|
|
var x = thisEnd - thisStart
|
|
var y = end - start
|
|
var len = Math.min(x, y)
|
|
|
|
var thisCopy = this.slice(thisStart, thisEnd)
|
|
var targetCopy = target.slice(start, end)
|
|
|
|
for (var i = 0; i < len; ++i) {
|
|
if (thisCopy[i] !== targetCopy[i]) {
|
|
x = thisCopy[i]
|
|
y = targetCopy[i]
|
|
break
|
|
}
|
|
}
|
|
|
|
if (x < y) return -1
|
|
if (y < x) return 1
|
|
return 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
|
|
|
|
// 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)
|
|
}
|
|
|
|
// 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
|
|
}
|
|
|
|
// Normalize val
|
|
if (typeof val === 'string') {
|
|
val = Buffer.from(val, encoding)
|
|
}
|
|
|
|
// 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)
|
|
}
|
|
}
|
|
return arrayIndexOf(buffer, [ val ], byteOffset, encoding, dir)
|
|
}
|
|
|
|
throw new TypeError('val must be string, number or Buffer')
|
|
}
|
|
|
|
function arrayIndexOf (arr, val, byteOffset, encoding, dir) {
|
|
var indexSize = 1
|
|
var arrLength = arr.length
|
|
var valLength = val.length
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
function read (buf, i) {
|
|
if (indexSize === 1) {
|
|
return buf[i]
|
|
} else {
|
|
return buf.readUInt16BE(i * indexSize)
|
|
}
|
|
}
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
return -1
|
|
}
|
|
|
|
Buffer.prototype.includes = function includes (val, byteOffset, encoding) {
|
|
return this.indexOf(val, byteOffset, encoding) !== -1
|
|
}
|
|
|
|
Buffer.prototype.indexOf = function indexOf (val, byteOffset, encoding) {
|
|
return bidirectionalIndexOf(this, val, byteOffset, encoding, true)
|
|
}
|
|
|
|
Buffer.prototype.lastIndexOf = function lastIndexOf (val, byteOffset, encoding) {
|
|
return bidirectionalIndexOf(this, val, byteOffset, encoding, false)
|
|
}
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
// must be an even number of digits
|
|
var strLen = string.length
|
|
if (strLen % 2 !== 0) throw new TypeError('Invalid hex string')
|
|
|
|
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
|
|
}
|
|
|
|
function utf8Write (buf, string, offset, length) {
|
|
return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length)
|
|
}
|
|
|
|
function asciiWrite (buf, string, offset, length) {
|
|
return blitBuffer(asciiToBytes(string), buf, offset, length)
|
|
}
|
|
|
|
function latin1Write (buf, string, offset, length) {
|
|
return asciiWrite(buf, string, offset, length)
|
|
}
|
|
|
|
function base64Write (buf, string, offset, length) {
|
|
return blitBuffer(base64ToBytes(string), buf, offset, length)
|
|
}
|
|
|
|
function ucs2Write (buf, string, offset, length) {
|
|
return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length)
|
|
}
|
|
|
|
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'
|
|
)
|
|
}
|
|
|
|
var remaining = this.length - offset
|
|
if (length === undefined || length > remaining) length = remaining
|
|
|
|
if ((string.length > 0 && (length < 0 || offset < 0)) || offset > this.length) {
|
|
throw new RangeError('Attempt to write outside buffer bounds')
|
|
}
|
|
|
|
if (!encoding) encoding = 'utf8'
|
|
|
|
var loweredCase = false
|
|
for (;;) {
|
|
switch (encoding) {
|
|
case 'hex':
|
|
return hexWrite(this, string, offset, length)
|
|
|
|
case 'utf8':
|
|
case 'utf-8':
|
|
return utf8Write(this, string, offset, length)
|
|
|
|
case 'ascii':
|
|
return asciiWrite(this, string, offset, length)
|
|
|
|
case 'latin1':
|
|
case 'binary':
|
|
return latin1Write(this, string, offset, length)
|
|
|
|
case 'base64':
|
|
// Warning: maxLength not taken into account in base64Write
|
|
return base64Write(this, string, offset, length)
|
|
|
|
case 'ucs2':
|
|
case 'ucs-2':
|
|
case 'utf16le':
|
|
case 'utf-16le':
|
|
return ucs2Write(this, string, offset, length)
|
|
|
|
default:
|
|
if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding)
|
|
encoding = ('' + encoding).toLowerCase()
|
|
loweredCase = true
|
|
}
|
|
}
|
|
}
|
|
|
|
Buffer.prototype.toJSON = function toJSON () {
|
|
return {
|
|
type: 'Buffer',
|
|
data: Array.prototype.slice.call(this._arr || this, 0)
|
|
}
|
|
}
|
|
|
|
function base64Slice (buf, start, end) {
|
|
if (start === 0 && end === buf.length) {
|
|
return base64.fromByteArray(buf)
|
|
} else {
|
|
return base64.fromByteArray(buf.slice(start, end))
|
|
}
|
|
}
|
|
|
|
function utf8Slice (buf, start, end) {
|
|
end = Math.min(buf.length, end)
|
|
var res = []
|
|
|
|
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
|
|
|
|
if (i + bytesPerSequence <= end) {
|
|
var secondByte, thirdByte, fourthByte, tempCodePoint
|
|
|
|
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 (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
|
|
}
|
|
|
|
res.push(codePoint)
|
|
i += bytesPerSequence
|
|
}
|
|
|
|
return decodeCodePointsArray(res)
|
|
}
|
|
|
|
// 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
|
|
|
|
function decodeCodePointsArray (codePoints) {
|
|
var len = codePoints.length
|
|
if (len <= MAX_ARGUMENTS_LENGTH) {
|
|
return String.fromCharCode.apply(String, codePoints) // avoid extra slice()
|
|
}
|
|
|
|
// 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
|
|
}
|
|
|
|
function asciiSlice (buf, start, end) {
|
|
var ret = ''
|
|
end = Math.min(buf.length, end)
|
|
|
|
for (var i = start; i < end; ++i) {
|
|
ret += String.fromCharCode(buf[i] & 0x7F)
|
|
}
|
|
return ret
|
|
}
|
|
|
|
function latin1Slice (buf, start, end) {
|
|
var ret = ''
|
|
end = Math.min(buf.length, end)
|
|
|
|
for (var i = start; i < end; ++i) {
|
|
ret += String.fromCharCode(buf[i])
|
|
}
|
|
return ret
|
|
}
|
|
|
|
function hexSlice (buf, start, end) {
|
|
var len = buf.length
|
|
|
|
if (!start || start < 0) start = 0
|
|
if (!end || end < 0 || end > len) end = len
|
|
|
|
var out = ''
|
|
for (var i = start; i < end; ++i) {
|
|
out += toHex(buf[i])
|
|
}
|
|
return out
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
Buffer.prototype.slice = function slice (start, end) {
|
|
var len = this.length
|
|
start = ~~start
|
|
end = end === undefined ? len : ~~end
|
|
|
|
if (start < 0) {
|
|
start += len
|
|
if (start < 0) start = 0
|
|
} else if (start > len) {
|
|
start = len
|
|
}
|
|
|
|
if (end < 0) {
|
|
end += len
|
|
if (end < 0) end = 0
|
|
} else if (end > len) {
|
|
end = len
|
|
}
|
|
|
|
if (end < start) end = start
|
|
|
|
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]
|
|
}
|
|
}
|
|
|
|
return newBuf
|
|
}
|
|
|
|
/*
|
|
* 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__(1).Buffer, __webpack_require__(9)))
|
|
|
|
/***/ },
|
|
/* 2 */
|
|
/***/ function(module, exports, __webpack_require__) {
|
|
|
|
var BN = __webpack_require__(0);
|
|
var stripHexPrefix = __webpack_require__(8);
|
|
|
|
console.log(new BN('87234987239872349872489724897248972348972389472498728723897234', 16).toString(10));
|
|
|
|
/**
|
|
* 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;
|
|
|
|
if ((!stringArg.match(/^-?[0-9]+$/) && stringArg.match(/^[0-9A-Fa-f]+$/))
|
|
|| stringArg.match(/^[a-fA-F]+$/)
|
|
|| (isHexPrefixed === true && stringArg.match(/^[0-9A-Fa-f]+$/))) {
|
|
return new BN(stringArg, 16).mul(multiplier);
|
|
}
|
|
|
|
if ((stringArg.match(/^-?[0-9]+$/) || 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);
|
|
}
|
|
}
|
|
|
|
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.');
|
|
}
|
|
|
|
|
|
/***/ },
|
|
/* 3 */
|
|
/***/ function(module, exports, __webpack_require__) {
|
|
|
|
"use strict";
|
|
'use strict';
|
|
|
|
var BN = __webpack_require__(0);
|
|
var numberToBN = __webpack_require__(2);
|
|
|
|
var zero = new BN(0);
|
|
var negative1 = new BN(-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' };
|
|
|
|
/**
|
|
* 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
|
|
|
|
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));
|
|
}
|
|
|
|
return new BN(unitValue, 10);
|
|
}
|
|
|
|
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.]+).');
|
|
}
|
|
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 + '.');
|
|
}
|
|
|
|
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 (negative) {
|
|
wei = wei.mul(negative1);
|
|
}
|
|
|
|
var fraction = wei.mod(base).toString(10); // eslint-disable-line
|
|
|
|
while (fraction.length < baseLength) {
|
|
fraction = '0' + fraction;
|
|
}
|
|
|
|
if (!options.pad) {
|
|
fraction = fraction.match(/^([0-9]*[1-9]|0)(0*)/)[1];
|
|
}
|
|
|
|
var whole = wei.div(base).toString(10); // eslint-disable-line
|
|
|
|
if (options.commify) {
|
|
whole = whole.replace(/\B(?=(\d{3})+(?!\d))/g, ',');
|
|
}
|
|
|
|
var value = '' + whole + (fraction == '0' ? '' : '.' + fraction); // eslint-disable-line
|
|
|
|
if (negative) {
|
|
value = '-' + value;
|
|
}
|
|
|
|
return value;
|
|
}
|
|
|
|
function toWei(etherInput, unit) {
|
|
var ether = numberToString(etherInput); // eslint-disable-line
|
|
var base = getValueOfUnit(unit);
|
|
var baseLength = unitMap[unit].length - 1 || 1;
|
|
|
|
// Is it negative?
|
|
var negative = ether.substring(0, 1) === '-'; // eslint-disable-line
|
|
if (negative) {
|
|
ether = ether.substring(1);
|
|
}
|
|
|
|
if (ether === '.') {
|
|
throw new Error('[ethjs-unit] while converting number ' + etherInput + ' to wei, invalid value');
|
|
}
|
|
|
|
// 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');
|
|
}
|
|
|
|
var whole = comps[0],
|
|
fraction = comps[1]; // eslint-disable-line
|
|
|
|
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');
|
|
}
|
|
|
|
while (fraction.length < baseLength) {
|
|
fraction += '0';
|
|
}
|
|
|
|
whole = new BN(whole);
|
|
fraction = new BN(fraction);
|
|
var wei = whole.mul(base).add(fraction); // eslint-disable-line
|
|
|
|
if (negative) {
|
|
wei = wei.mul(negative1);
|
|
}
|
|
|
|
return new BN(wei.toString(10), 10);
|
|
}
|
|
|
|
module.exports = {
|
|
unitMap: unitMap,
|
|
numberToString: numberToString,
|
|
getValueOfUnit: getValueOfUnit,
|
|
fromWei: fromWei,
|
|
toWei: toWei
|
|
};
|
|
|
|
/***/ },
|
|
/* 4 */
|
|
/***/ function(module, exports) {
|
|
|
|
"use strict";
|
|
'use strict'
|
|
|
|
exports.byteLength = byteLength
|
|
exports.toByteArray = toByteArray
|
|
exports.fromByteArray = fromByteArray
|
|
|
|
var lookup = []
|
|
var revLookup = []
|
|
var Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array
|
|
|
|
var code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/'
|
|
for (var i = 0, len = code.length; i < len; ++i) {
|
|
lookup[i] = code[i]
|
|
revLookup[code.charCodeAt(i)] = i
|
|
}
|
|
|
|
revLookup['-'.charCodeAt(0)] = 62
|
|
revLookup['_'.charCodeAt(0)] = 63
|
|
|
|
function placeHoldersCount (b64) {
|
|
var len = b64.length
|
|
if (len % 4 > 0) {
|
|
throw new Error('Invalid string. Length must be a multiple of 4')
|
|
}
|
|
|
|
// 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
|
|
}
|
|
|
|
function byteLength (b64) {
|
|
// base64 is 4/3 + up to two characters of the original data
|
|
return b64.length * 3 / 4 - placeHoldersCount(b64)
|
|
}
|
|
|
|
function toByteArray (b64) {
|
|
var i, j, l, tmp, placeHolders, arr
|
|
var len = b64.length
|
|
placeHolders = placeHoldersCount(b64)
|
|
|
|
arr = new Arr(len * 3 / 4 - placeHolders)
|
|
|
|
// if there are placeholders, only get up to the last complete 4 chars
|
|
l = placeHolders > 0 ? len - 4 : len
|
|
|
|
var L = 0
|
|
|
|
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
|
|
}
|
|
|
|
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
|
|
}
|
|
|
|
return arr
|
|
}
|
|
|
|
function tripletToBase64 (num) {
|
|
return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F]
|
|
}
|
|
|
|
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('')
|
|
}
|
|
|
|
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
|
|
|
|
// 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)))
|
|
}
|
|
|
|
// 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 += '='
|
|
}
|
|
|
|
parts.push(output)
|
|
|
|
return parts.join('')
|
|
}
|
|
|
|
|
|
/***/ },
|
|
/* 5 */
|
|
/***/ function(module, exports) {
|
|
|
|
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]
|
|
|
|
i += d
|
|
|
|
e = s & ((1 << (-nBits)) - 1)
|
|
s >>= (-nBits)
|
|
nBits += eLen
|
|
for (; nBits > 0; e = e * 256 + buffer[offset + i], i += d, nBits -= 8) {}
|
|
|
|
m = e & ((1 << (-nBits)) - 1)
|
|
e >>= (-nBits)
|
|
nBits += mLen
|
|
for (; nBits > 0; m = m * 256 + buffer[offset + i], i += d, nBits -= 8) {}
|
|
|
|
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)
|
|
}
|
|
|
|
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
|
|
|
|
value = Math.abs(value)
|
|
|
|
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
|
|
}
|
|
|
|
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
|
|
}
|
|
}
|
|
|
|
for (; mLen >= 8; buffer[offset + i] = m & 0xff, i += d, m /= 256, mLen -= 8) {}
|
|
|
|
e = (e << mLen) | m
|
|
eLen += mLen
|
|
for (; eLen > 0; buffer[offset + i] = e & 0xff, i += d, e /= 256, eLen -= 8) {}
|
|
|
|
buffer[offset + i - d] |= s * 128
|
|
}
|
|
|
|
|
|
/***/ },
|
|
/* 6 */
|
|
/***/ function(module, exports) {
|
|
|
|
/**
|
|
* 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.");
|
|
}
|
|
|
|
return str.slice(0, 2) === '0x';
|
|
}
|
|
|
|
|
|
/***/ },
|
|
/* 7 */
|
|
/***/ function(module, exports) {
|
|
|
|
var toString = {}.toString;
|
|
|
|
module.exports = Array.isArray || function (arr) {
|
|
return toString.call(arr) == '[object Array]';
|
|
};
|
|
|
|
|
|
/***/ },
|
|
/* 8 */
|
|
/***/ function(module, exports, __webpack_require__) {
|
|
|
|
var isHexPrefixed = __webpack_require__(6);
|
|
|
|
/**
|
|
* Removes '0x' from a given `String` is present
|
|
* @param {String} str the string value
|
|
* @return {String|Optional} a string by pass if necessary
|
|
*/
|
|
module.exports = function stripHexPrefix(str) {
|
|
if (typeof str !== 'string') {
|
|
return str;
|
|
}
|
|
|
|
return isHexPrefixed(str) ? str.slice(2) : str;
|
|
}
|
|
|
|
|
|
/***/ },
|
|
/* 9 */
|
|
/***/ function(module, exports) {
|
|
|
|
var g;
|
|
|
|
// This works in non-strict mode
|
|
g = (function() { return this; })();
|
|
|
|
try {
|
|
// This works if eval is allowed (see CSP)
|
|
g = g || Function("return this")() || (1,eval)("this");
|
|
} catch(e) {
|
|
// This works if the window reference is available
|
|
if(typeof window === "object")
|
|
g = window;
|
|
}
|
|
|
|
// g can still be undefined, but nothing to do about it...
|
|
// We return undefined, instead of nothing here, so it's
|
|
// easier to handle this case. if(!global) { ...}
|
|
|
|
module.exports = g;
|
|
|
|
|
|
/***/ },
|
|
/* 10 */
|
|
/***/ 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;
|
|
}
|
|
|
|
|
|
/***/ }
|
|
/******/ ])
|
|
});
|
|
;
|
|
//# sourceMappingURL=ethjs-unit.js.map
|