forked from cerc-io/plugeth
3518 lines
119 KiB
JavaScript
3518 lines
119 KiB
JavaScript
require=(function e(t,n,r){function s(o,u){if(!n[o]){if(!t[o]){var a=typeof require=="function"&&require;if(!u&&a)return a(o,!0);if(i)return i(o,!0);var f=new Error("Cannot find module '"+o+"'");throw f.code="MODULE_NOT_FOUND",f}var l=n[o]={exports:{}};t[o][0].call(l.exports,function(e){var n=t[o][1][e];return s(n?n:e)},l,l.exports,e,t,n,r)}return n[o].exports}var i=typeof require=="function"&&require;for(var o=0;o<r.length;o++)s(r[o]);return s})({1:[function(require,module,exports){
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},{}],2:[function(require,module,exports){
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// shim for using process in browser
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var process = module.exports = {};
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var queue = [];
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var draining = false;
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function drainQueue() {
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if (draining) {
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return;
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}
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|
draining = true;
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|
var currentQueue;
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|
var len = queue.length;
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|
while(len) {
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currentQueue = queue;
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queue = [];
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var i = -1;
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while (++i < len) {
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currentQueue[i]();
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}
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|
len = queue.length;
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}
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|
draining = false;
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}
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process.nextTick = function (fun) {
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queue.push(fun);
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if (!draining) {
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setTimeout(drainQueue, 0);
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}
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};
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process.title = 'browser';
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process.browser = true;
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process.env = {};
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process.argv = [];
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process.version = ''; // empty string to avoid regexp issues
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function noop() {}
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process.on = noop;
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process.addListener = noop;
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process.once = noop;
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process.off = noop;
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process.removeListener = noop;
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process.removeAllListeners = noop;
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process.emit = noop;
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process.binding = function (name) {
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throw new Error('process.binding is not supported');
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};
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// TODO(shtylman)
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process.cwd = function () { return '/' };
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process.chdir = function (dir) {
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throw new Error('process.chdir is not supported');
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};
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process.umask = function() { return 0; };
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},{}],3:[function(require,module,exports){
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/*
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This file is part of ethereum.js.
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ethereum.js is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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|
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ethereum.js is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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|
|
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You should have received a copy of the GNU Lesser General Public License
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along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
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*/
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/** @file abi.js
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* @authors:
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* Marek Kotewicz <marek@ethdev.com>
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* Gav Wood <g@ethdev.com>
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* @date 2014
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*/
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var utils = require('./utils');
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var types = require('./types');
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var c = require('./const');
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var f = require('./formatters');
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var displayTypeError = function (type) {
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console.error('parser does not support type: ' + type);
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};
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/// This method should be called if we want to check if givent type is an array type
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/// @returns true if it is, otherwise false
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var arrayType = function (type) {
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return type.slice(-2) === '[]';
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};
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var dynamicTypeBytes = function (type, value) {
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// TODO: decide what to do with array of strings
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if (arrayType(type) || type === 'string') // only string itself that is dynamic; stringX is static length.
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return f.formatInputInt(value.length);
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return "";
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};
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var inputTypes = types.inputTypes();
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|
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/// Formats input params to bytes
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/// @param abi contract method inputs
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/// @param array of params that will be formatted to bytes
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/// @returns bytes representation of input params
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|
var formatInput = function (inputs, params) {
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var bytes = "";
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var toAppendConstant = "";
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var toAppendArrayContent = "";
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|
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/// first we iterate in search for dynamic
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inputs.forEach(function (input, index) {
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bytes += dynamicTypeBytes(input.type, params[index]);
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});
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inputs.forEach(function (input, i) {
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/*jshint maxcomplexity:5 */
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var typeMatch = false;
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for (var j = 0; j < inputTypes.length && !typeMatch; j++) {
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typeMatch = inputTypes[j].type(inputs[i].type, params[i]);
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|
}
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|
if (!typeMatch) {
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displayTypeError(inputs[i].type);
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}
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var formatter = inputTypes[j - 1].format;
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if (arrayType(inputs[i].type))
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toAppendArrayContent += params[i].reduce(function (acc, curr) {
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return acc + formatter(curr);
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}, "");
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else if (inputs[i].type === 'string')
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toAppendArrayContent += formatter(params[i]);
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else
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toAppendConstant += formatter(params[i]);
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});
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bytes += toAppendConstant + toAppendArrayContent;
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return bytes;
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};
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var dynamicBytesLength = function (type) {
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if (arrayType(type) || type === 'string') // only string itself that is dynamic; stringX is static length.
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return c.ETH_PADDING * 2;
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return 0;
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};
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var outputTypes = types.outputTypes();
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/// Formats output bytes back to param list
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/// @param contract abi method outputs
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/// @param bytes representtion of output
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/// @returns array of output params
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var formatOutput = function (outs, output) {
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output = output.slice(2);
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var result = [];
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var padding = c.ETH_PADDING * 2;
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var dynamicPartLength = outs.reduce(function (acc, curr) {
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return acc + dynamicBytesLength(curr.type);
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}, 0);
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var dynamicPart = output.slice(0, dynamicPartLength);
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output = output.slice(dynamicPartLength);
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outs.forEach(function (out, i) {
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/*jshint maxcomplexity:6 */
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|
var typeMatch = false;
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for (var j = 0; j < outputTypes.length && !typeMatch; j++) {
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typeMatch = outputTypes[j].type(outs[i].type);
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|
}
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if (!typeMatch) {
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displayTypeError(outs[i].type);
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|
}
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var formatter = outputTypes[j - 1].format;
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|
if (arrayType(outs[i].type)) {
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|
var size = f.formatOutputUInt(dynamicPart.slice(0, padding));
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|
dynamicPart = dynamicPart.slice(padding);
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var array = [];
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for (var k = 0; k < size; k++) {
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array.push(formatter(output.slice(0, padding)));
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output = output.slice(padding);
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}
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result.push(array);
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|
}
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else if (types.prefixedType('string')(outs[i].type)) {
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dynamicPart = dynamicPart.slice(padding);
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|
result.push(formatter(output.slice(0, padding)));
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output = output.slice(padding);
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} else {
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|
result.push(formatter(output.slice(0, padding)));
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output = output.slice(padding);
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}
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});
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return result;
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|
};
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|
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/// @param json abi for contract
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|
/// @returns input parser object for given json abi
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|
/// TODO: refactor creating the parser, do not double logic from contract
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|
var inputParser = function (json) {
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|
var parser = {};
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json.forEach(function (method) {
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|
var displayName = utils.extractDisplayName(method.name);
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|
var typeName = utils.extractTypeName(method.name);
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|
|
var impl = function () {
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|
var params = Array.prototype.slice.call(arguments);
|
|
return formatInput(method.inputs, params);
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|
};
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|
|
if (parser[displayName] === undefined) {
|
|
parser[displayName] = impl;
|
|
}
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|
|
|
parser[displayName][typeName] = impl;
|
|
});
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|
|
return parser;
|
|
};
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|
|
|
/// @param json abi for contract
|
|
/// @returns output parser for given json abi
|
|
var outputParser = function (json) {
|
|
var parser = {};
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|
json.forEach(function (method) {
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|
|
var displayName = utils.extractDisplayName(method.name);
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|
var typeName = utils.extractTypeName(method.name);
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|
|
var impl = function (output) {
|
|
return formatOutput(method.outputs, output);
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|
};
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|
|
if (parser[displayName] === undefined) {
|
|
parser[displayName] = impl;
|
|
}
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|
|
|
parser[displayName][typeName] = impl;
|
|
});
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|
|
return parser;
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|
};
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|
|
module.exports = {
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|
inputParser: inputParser,
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|
outputParser: outputParser,
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|
formatInput: formatInput,
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|
formatOutput: formatOutput
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|
};
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|
|
|
},{"./const":4,"./formatters":5,"./types":6,"./utils":7}],4:[function(require,module,exports){
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|
(function (process){
|
|
/*
|
|
This file is part of ethereum.js.
|
|
|
|
ethereum.js is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ethereum.js is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
/** @file const.js
|
|
* @authors:
|
|
* Marek Kotewicz <marek@ethdev.com>
|
|
* @date 2015
|
|
*/
|
|
|
|
/// required to define ETH_BIGNUMBER_ROUNDING_MODE
|
|
if (process.env.NODE_ENV !== 'build') {
|
|
var BigNumber = require('bignumber.js'); // jshint ignore:line
|
|
}
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|
|
|
var ETH_UNITS = [
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|
'wei',
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|
'Kwei',
|
|
'Mwei',
|
|
'Gwei',
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|
'szabo',
|
|
'finney',
|
|
'ether',
|
|
'grand',
|
|
'Mether',
|
|
'Gether',
|
|
'Tether',
|
|
'Pether',
|
|
'Eether',
|
|
'Zether',
|
|
'Yether',
|
|
'Nether',
|
|
'Dether',
|
|
'Vether',
|
|
'Uether'
|
|
];
|
|
|
|
module.exports = {
|
|
ETH_PADDING: 32,
|
|
ETH_SIGNATURE_LENGTH: 4,
|
|
ETH_UNITS: ETH_UNITS,
|
|
ETH_BIGNUMBER_ROUNDING_MODE: { ROUNDING_MODE: BigNumber.ROUND_DOWN },
|
|
ETH_POLLING_TIMEOUT: 1000
|
|
};
|
|
|
|
|
|
}).call(this,require('_process'))
|
|
},{"_process":2,"bignumber.js":8}],5:[function(require,module,exports){
|
|
(function (process){
|
|
/*
|
|
This file is part of ethereum.js.
|
|
|
|
ethereum.js is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ethereum.js is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
/** @file formatters.js
|
|
* @authors:
|
|
* Marek Kotewicz <marek@ethdev.com>
|
|
* @date 2015
|
|
*/
|
|
|
|
if (process.env.NODE_ENV !== 'build') {
|
|
var BigNumber = require('bignumber.js'); // jshint ignore:line
|
|
}
|
|
|
|
var utils = require('./utils');
|
|
var c = require('./const');
|
|
|
|
/// @param string string to be padded
|
|
/// @param number of characters that result string should have
|
|
/// @param sign, by default 0
|
|
/// @returns right aligned string
|
|
var padLeft = function (string, chars, sign) {
|
|
return new Array(chars - string.length + 1).join(sign ? sign : "0") + string;
|
|
};
|
|
|
|
/// Formats input value to byte representation of int
|
|
/// If value is negative, return it's two's complement
|
|
/// If the value is floating point, round it down
|
|
/// @returns right-aligned byte representation of int
|
|
var formatInputInt = function (value) {
|
|
/*jshint maxcomplexity:7 */
|
|
var padding = c.ETH_PADDING * 2;
|
|
if (value instanceof BigNumber || typeof value === 'number') {
|
|
if (typeof value === 'number')
|
|
value = new BigNumber(value);
|
|
BigNumber.config(c.ETH_BIGNUMBER_ROUNDING_MODE);
|
|
value = value.round();
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|
|
|
if (value.lessThan(0))
|
|
value = new BigNumber("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16).plus(value).plus(1);
|
|
value = value.toString(16);
|
|
}
|
|
else if (value.indexOf('0x') === 0)
|
|
value = value.substr(2);
|
|
else if (typeof value === 'string')
|
|
value = formatInputInt(new BigNumber(value));
|
|
else
|
|
value = (+value).toString(16);
|
|
return padLeft(value, padding);
|
|
};
|
|
|
|
/// Formats input value to byte representation of string
|
|
/// @returns left-algined byte representation of string
|
|
var formatInputString = function (value) {
|
|
return utils.fromAscii(value, c.ETH_PADDING).substr(2);
|
|
};
|
|
|
|
/// Formats input value to byte representation of bool
|
|
/// @returns right-aligned byte representation bool
|
|
var formatInputBool = function (value) {
|
|
return '000000000000000000000000000000000000000000000000000000000000000' + (value ? '1' : '0');
|
|
};
|
|
|
|
/// Formats input value to byte representation of real
|
|
/// Values are multiplied by 2^m and encoded as integers
|
|
/// @returns byte representation of real
|
|
var formatInputReal = function (value) {
|
|
return formatInputInt(new BigNumber(value).times(new BigNumber(2).pow(128)));
|
|
};
|
|
|
|
|
|
/// Check if input value is negative
|
|
/// @param value is hex format
|
|
/// @returns true if it is negative, otherwise false
|
|
var signedIsNegative = function (value) {
|
|
return (new BigNumber(value.substr(0, 1), 16).toString(2).substr(0, 1)) === '1';
|
|
};
|
|
|
|
/// Formats input right-aligned input bytes to int
|
|
/// @returns right-aligned input bytes formatted to int
|
|
var formatOutputInt = function (value) {
|
|
value = value || "0";
|
|
// check if it's negative number
|
|
// it it is, return two's complement
|
|
if (signedIsNegative(value)) {
|
|
return new BigNumber(value, 16).minus(new BigNumber('ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff', 16)).minus(1);
|
|
}
|
|
return new BigNumber(value, 16);
|
|
};
|
|
|
|
/// Formats big right-aligned input bytes to uint
|
|
/// @returns right-aligned input bytes formatted to uint
|
|
var formatOutputUInt = function (value) {
|
|
value = value || "0";
|
|
return new BigNumber(value, 16);
|
|
};
|
|
|
|
/// @returns input bytes formatted to real
|
|
var formatOutputReal = function (value) {
|
|
return formatOutputInt(value).dividedBy(new BigNumber(2).pow(128));
|
|
};
|
|
|
|
/// @returns input bytes formatted to ureal
|
|
var formatOutputUReal = function (value) {
|
|
return formatOutputUInt(value).dividedBy(new BigNumber(2).pow(128));
|
|
};
|
|
|
|
/// @returns right-aligned input bytes formatted to hex
|
|
var formatOutputHash = function (value) {
|
|
return "0x" + value;
|
|
};
|
|
|
|
/// @returns right-aligned input bytes formatted to bool
|
|
var formatOutputBool = function (value) {
|
|
return value === '0000000000000000000000000000000000000000000000000000000000000001' ? true : false;
|
|
};
|
|
|
|
/// @returns left-aligned input bytes formatted to ascii string
|
|
var formatOutputString = function (value) {
|
|
return utils.toAscii(value);
|
|
};
|
|
|
|
/// @returns right-aligned input bytes formatted to address
|
|
var formatOutputAddress = function (value) {
|
|
return "0x" + value.slice(value.length - 40, value.length);
|
|
};
|
|
|
|
|
|
module.exports = {
|
|
formatInputInt: formatInputInt,
|
|
formatInputString: formatInputString,
|
|
formatInputBool: formatInputBool,
|
|
formatInputReal: formatInputReal,
|
|
formatOutputInt: formatOutputInt,
|
|
formatOutputUInt: formatOutputUInt,
|
|
formatOutputReal: formatOutputReal,
|
|
formatOutputUReal: formatOutputUReal,
|
|
formatOutputHash: formatOutputHash,
|
|
formatOutputBool: formatOutputBool,
|
|
formatOutputString: formatOutputString,
|
|
formatOutputAddress: formatOutputAddress
|
|
};
|
|
|
|
|
|
}).call(this,require('_process'))
|
|
},{"./const":4,"./utils":7,"_process":2,"bignumber.js":8}],6:[function(require,module,exports){
|
|
/*
|
|
This file is part of ethereum.js.
|
|
|
|
ethereum.js is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ethereum.js is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
/** @file types.js
|
|
* @authors:
|
|
* Marek Kotewicz <marek@ethdev.com>
|
|
* @date 2015
|
|
*/
|
|
|
|
var f = require('./formatters');
|
|
|
|
/// @param expected type prefix (string)
|
|
/// @returns function which checks if type has matching prefix. if yes, returns true, otherwise false
|
|
var prefixedType = function (prefix) {
|
|
return function (type) {
|
|
return type.indexOf(prefix) === 0;
|
|
};
|
|
};
|
|
|
|
/// @param expected type name (string)
|
|
/// @returns function which checks if type is matching expected one. if yes, returns true, otherwise false
|
|
var namedType = function (name) {
|
|
return function (type) {
|
|
return name === type;
|
|
};
|
|
};
|
|
|
|
/// Setups input formatters for solidity types
|
|
/// @returns an array of input formatters
|
|
var inputTypes = function () {
|
|
|
|
return [
|
|
{ type: prefixedType('uint'), format: f.formatInputInt },
|
|
{ type: prefixedType('int'), format: f.formatInputInt },
|
|
{ type: prefixedType('hash'), format: f.formatInputInt },
|
|
{ type: prefixedType('string'), format: f.formatInputString },
|
|
{ type: prefixedType('real'), format: f.formatInputReal },
|
|
{ type: prefixedType('ureal'), format: f.formatInputReal },
|
|
{ type: namedType('address'), format: f.formatInputInt },
|
|
{ type: namedType('bool'), format: f.formatInputBool }
|
|
];
|
|
};
|
|
|
|
/// Setups output formaters for solidity types
|
|
/// @returns an array of output formatters
|
|
var outputTypes = function () {
|
|
|
|
return [
|
|
{ type: prefixedType('uint'), format: f.formatOutputUInt },
|
|
{ type: prefixedType('int'), format: f.formatOutputInt },
|
|
{ type: prefixedType('hash'), format: f.formatOutputHash },
|
|
{ type: prefixedType('string'), format: f.formatOutputString },
|
|
{ type: prefixedType('real'), format: f.formatOutputReal },
|
|
{ type: prefixedType('ureal'), format: f.formatOutputUReal },
|
|
{ type: namedType('address'), format: f.formatOutputAddress },
|
|
{ type: namedType('bool'), format: f.formatOutputBool }
|
|
];
|
|
};
|
|
|
|
module.exports = {
|
|
prefixedType: prefixedType,
|
|
namedType: namedType,
|
|
inputTypes: inputTypes,
|
|
outputTypes: outputTypes
|
|
};
|
|
|
|
|
|
},{"./formatters":5}],7:[function(require,module,exports){
|
|
/*
|
|
This file is part of ethereum.js.
|
|
|
|
ethereum.js is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
ethereum.js is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with ethereum.js. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
/** @file utils.js
|
|
* @authors:
|
|
* Marek Kotewicz <marek@ethdev.com>
|
|
* @date 2015
|
|
*/
|
|
|
|
var c = require('./const');
|
|
|
|
/// Finds first index of array element matching pattern
|
|
/// @param array
|
|
/// @param callback pattern
|
|
/// @returns index of element
|
|
var findIndex = function (array, callback) {
|
|
var end = false;
|
|
var i = 0;
|
|
for (; i < array.length && !end; i++) {
|
|
end = callback(array[i]);
|
|
}
|
|
return end ? i - 1 : -1;
|
|
};
|
|
|
|
/// @returns ascii string representation of hex value prefixed with 0x
|
|
var toAscii = function(hex) {
|
|
// Find termination
|
|
var str = "";
|
|
var i = 0, l = hex.length;
|
|
if (hex.substring(0, 2) === '0x') {
|
|
i = 2;
|
|
}
|
|
for (; i < l; i+=2) {
|
|
var code = parseInt(hex.substr(i, 2), 16);
|
|
if (code === 0) {
|
|
break;
|
|
}
|
|
|
|
str += String.fromCharCode(code);
|
|
}
|
|
|
|
return str;
|
|
};
|
|
|
|
var toHex = function(str) {
|
|
var hex = "";
|
|
for(var i = 0; i < str.length; i++) {
|
|
var n = str.charCodeAt(i).toString(16);
|
|
hex += n.length < 2 ? '0' + n : n;
|
|
}
|
|
|
|
return hex;
|
|
};
|
|
|
|
/// @returns hex representation (prefixed by 0x) of ascii string
|
|
var fromAscii = function(str, pad) {
|
|
pad = pad === undefined ? 0 : pad;
|
|
var hex = toHex(str);
|
|
while (hex.length < pad*2)
|
|
hex += "00";
|
|
return "0x" + hex;
|
|
};
|
|
|
|
/// @returns display name for function/event eg. multiply(uint256) -> multiply
|
|
var extractDisplayName = function (name) {
|
|
var length = name.indexOf('(');
|
|
return length !== -1 ? name.substr(0, length) : name;
|
|
};
|
|
|
|
/// @returns overloaded part of function/event name
|
|
var extractTypeName = function (name) {
|
|
/// TODO: make it invulnerable
|
|
var length = name.indexOf('(');
|
|
return length !== -1 ? name.substr(length + 1, name.length - 1 - (length + 1)).replace(' ', '') : "";
|
|
};
|
|
|
|
/// Filters all function from input abi
|
|
/// @returns abi array with filtered objects of type 'function'
|
|
var filterFunctions = function (json) {
|
|
return json.filter(function (current) {
|
|
return current.type === 'function';
|
|
});
|
|
};
|
|
|
|
/// Filters all events form input abi
|
|
/// @returns abi array with filtered objects of type 'event'
|
|
var filterEvents = function (json) {
|
|
return json.filter(function (current) {
|
|
return current.type === 'event';
|
|
});
|
|
};
|
|
|
|
/// used to transform value/string to eth string
|
|
/// TODO: use BigNumber.js to parse int
|
|
/// TODO: add tests for it!
|
|
var toEth = function (str) {
|
|
/*jshint maxcomplexity:7 */
|
|
var val = typeof str === "string" ? str.indexOf('0x') === 0 ? parseInt(str.substr(2), 16) : parseInt(str) : str;
|
|
var unit = 0;
|
|
var units = c.ETH_UNITS;
|
|
while (val > 3000 && unit < units.length - 1)
|
|
{
|
|
val /= 1000;
|
|
unit++;
|
|
}
|
|
var s = val.toString().length < val.toFixed(2).length ? val.toString() : val.toFixed(2);
|
|
var replaceFunction = function($0, $1, $2) {
|
|
return $1 + ',' + $2;
|
|
};
|
|
|
|
while (true) {
|
|
var o = s;
|
|
s = s.replace(/(\d)(\d\d\d[\.\,])/, replaceFunction);
|
|
if (o === s)
|
|
break;
|
|
}
|
|
return s + ' ' + units[unit];
|
|
};
|
|
|
|
module.exports = {
|
|
findIndex: findIndex,
|
|
toAscii: toAscii,
|
|
fromAscii: fromAscii,
|
|
extractDisplayName: extractDisplayName,
|
|
extractTypeName: extractTypeName,
|
|
filterFunctions: filterFunctions,
|
|
filterEvents: filterEvents,
|
|
toEth: toEth
|
|
};
|
|
|
|
|
|
},{"./const":4}],8:[function(require,module,exports){
|
|
/*! bignumber.js v2.0.3 https://github.com/MikeMcl/bignumber.js/LICENCE */
|
|
|
|
;(function (global) {
|
|
'use strict';
|
|
|
|
/*
|
|
bignumber.js v2.0.3
|
|
A JavaScript library for arbitrary-precision arithmetic.
|
|
https://github.com/MikeMcl/bignumber.js
|
|
Copyright (c) 2015 Michael Mclaughlin <M8ch88l@gmail.com>
|
|
MIT Expat Licence
|
|
*/
|
|
|
|
|
|
var BigNumber, crypto, parseNumeric,
|
|
isNumeric = /^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,
|
|
mathceil = Math.ceil,
|
|
mathfloor = Math.floor,
|
|
notBool = ' not a boolean or binary digit',
|
|
roundingMode = 'rounding mode',
|
|
tooManyDigits = 'number type has more than 15 significant digits',
|
|
ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_',
|
|
BASE = 1e14,
|
|
LOG_BASE = 14,
|
|
MAX_SAFE_INTEGER = 0x1fffffffffffff, // 2^53 - 1
|
|
// MAX_INT32 = 0x7fffffff, // 2^31 - 1
|
|
POWS_TEN = [1, 10, 100, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13],
|
|
SQRT_BASE = 1e7,
|
|
|
|
/*
|
|
* The limit on the value of DECIMAL_PLACES, TO_EXP_NEG, TO_EXP_POS, MIN_EXP, MAX_EXP, and
|
|
* the arguments to toExponential, toFixed, toFormat, and toPrecision, beyond which an
|
|
* exception is thrown (if ERRORS is true).
|
|
*/
|
|
MAX = 1E9; // 0 to MAX_INT32
|
|
|
|
|
|
/*
|
|
* Create and return a BigNumber constructor.
|
|
*/
|
|
function another(configObj) {
|
|
var div,
|
|
|
|
// id tracks the caller function, so its name can be included in error messages.
|
|
id = 0,
|
|
P = BigNumber.prototype,
|
|
ONE = new BigNumber(1),
|
|
|
|
|
|
/********************************* EDITABLE DEFAULTS **********************************/
|
|
|
|
|
|
/*
|
|
* The default values below must be integers within the inclusive ranges stated.
|
|
* The values can also be changed at run-time using BigNumber.config.
|
|
*/
|
|
|
|
// The maximum number of decimal places for operations involving division.
|
|
DECIMAL_PLACES = 20, // 0 to MAX
|
|
|
|
/*
|
|
* The rounding mode used when rounding to the above decimal places, and when using
|
|
* toExponential, toFixed, toFormat and toPrecision, and round (default value).
|
|
* UP 0 Away from zero.
|
|
* DOWN 1 Towards zero.
|
|
* CEIL 2 Towards +Infinity.
|
|
* FLOOR 3 Towards -Infinity.
|
|
* HALF_UP 4 Towards nearest neighbour. If equidistant, up.
|
|
* HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.
|
|
* HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.
|
|
* HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.
|
|
* HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.
|
|
*/
|
|
ROUNDING_MODE = 4, // 0 to 8
|
|
|
|
// EXPONENTIAL_AT : [TO_EXP_NEG , TO_EXP_POS]
|
|
|
|
// The exponent value at and beneath which toString returns exponential notation.
|
|
// Number type: -7
|
|
TO_EXP_NEG = -7, // 0 to -MAX
|
|
|
|
// The exponent value at and above which toString returns exponential notation.
|
|
// Number type: 21
|
|
TO_EXP_POS = 21, // 0 to MAX
|
|
|
|
// RANGE : [MIN_EXP, MAX_EXP]
|
|
|
|
// The minimum exponent value, beneath which underflow to zero occurs.
|
|
// Number type: -324 (5e-324)
|
|
MIN_EXP = -1e7, // -1 to -MAX
|
|
|
|
// The maximum exponent value, above which overflow to Infinity occurs.
|
|
// Number type: 308 (1.7976931348623157e+308)
|
|
// For MAX_EXP > 1e7, e.g. new BigNumber('1e100000000').plus(1) may be slow.
|
|
MAX_EXP = 1e7, // 1 to MAX
|
|
|
|
// Whether BigNumber Errors are ever thrown.
|
|
ERRORS = true, // true or false
|
|
|
|
// Change to intValidatorNoErrors if ERRORS is false.
|
|
isValidInt = intValidatorWithErrors, // intValidatorWithErrors/intValidatorNoErrors
|
|
|
|
// Whether to use cryptographically-secure random number generation, if available.
|
|
CRYPTO = false, // true or false
|
|
|
|
/*
|
|
* The modulo mode used when calculating the modulus: a mod n.
|
|
* The quotient (q = a / n) is calculated according to the corresponding rounding mode.
|
|
* The remainder (r) is calculated as: r = a - n * q.
|
|
*
|
|
* UP 0 The remainder is positive if the dividend is negative, else is negative.
|
|
* DOWN 1 The remainder has the same sign as the dividend.
|
|
* This modulo mode is commonly known as 'truncated division' and is
|
|
* equivalent to (a % n) in JavaScript.
|
|
* FLOOR 3 The remainder has the same sign as the divisor (Python %).
|
|
* HALF_EVEN 6 This modulo mode implements the IEEE 754 remainder function.
|
|
* EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)).
|
|
* The remainder is always positive.
|
|
*
|
|
* The truncated division, floored division, Euclidian division and IEEE 754 remainder
|
|
* modes are commonly used for the modulus operation.
|
|
* Although the other rounding modes can also be used, they may not give useful results.
|
|
*/
|
|
MODULO_MODE = 1, // 0 to 9
|
|
|
|
// The maximum number of significant digits of the result of the toPower operation.
|
|
// If POW_PRECISION is 0, there will be unlimited significant digits.
|
|
POW_PRECISION = 100, // 0 to MAX
|
|
|
|
// The format specification used by the BigNumber.prototype.toFormat method.
|
|
FORMAT = {
|
|
decimalSeparator: '.',
|
|
groupSeparator: ',',
|
|
groupSize: 3,
|
|
secondaryGroupSize: 0,
|
|
fractionGroupSeparator: '\xA0', // non-breaking space
|
|
fractionGroupSize: 0
|
|
};
|
|
|
|
|
|
/******************************************************************************************/
|
|
|
|
|
|
// CONSTRUCTOR
|
|
|
|
|
|
/*
|
|
* The BigNumber constructor and exported function.
|
|
* Create and return a new instance of a BigNumber object.
|
|
*
|
|
* n {number|string|BigNumber} A numeric value.
|
|
* [b] {number} The base of n. Integer, 2 to 64 inclusive.
|
|
*/
|
|
function BigNumber( n, b ) {
|
|
var c, e, i, num, len, str,
|
|
x = this;
|
|
|
|
// Enable constructor usage without new.
|
|
if ( !( x instanceof BigNumber ) ) {
|
|
|
|
// 'BigNumber() constructor call without new: {n}'
|
|
if (ERRORS) raise( 26, 'constructor call without new', n );
|
|
return new BigNumber( n, b );
|
|
}
|
|
|
|
// 'new BigNumber() base not an integer: {b}'
|
|
// 'new BigNumber() base out of range: {b}'
|
|
if ( b == null || !isValidInt( b, 2, 64, id, 'base' ) ) {
|
|
|
|
// Duplicate.
|
|
if ( n instanceof BigNumber ) {
|
|
x.s = n.s;
|
|
x.e = n.e;
|
|
x.c = ( n = n.c ) ? n.slice() : n;
|
|
id = 0;
|
|
return;
|
|
}
|
|
|
|
if ( ( num = typeof n == 'number' ) && n * 0 == 0 ) {
|
|
x.s = 1 / n < 0 ? ( n = -n, -1 ) : 1;
|
|
|
|
// Fast path for integers.
|
|
if ( n === ~~n ) {
|
|
for ( e = 0, i = n; i >= 10; i /= 10, e++ );
|
|
x.e = e;
|
|
x.c = [n];
|
|
id = 0;
|
|
return;
|
|
}
|
|
|
|
str = n + '';
|
|
} else {
|
|
if ( !isNumeric.test( str = n + '' ) ) return parseNumeric( x, str, num );
|
|
x.s = str.charCodeAt(0) === 45 ? ( str = str.slice(1), -1 ) : 1;
|
|
}
|
|
} else {
|
|
b = b | 0;
|
|
str = n + '';
|
|
|
|
// Ensure return value is rounded to DECIMAL_PLACES as with other bases.
|
|
// Allow exponential notation to be used with base 10 argument.
|
|
if ( b == 10 ) {
|
|
x = new BigNumber( n instanceof BigNumber ? n : str );
|
|
return round( x, DECIMAL_PLACES + x.e + 1, ROUNDING_MODE );
|
|
}
|
|
|
|
// Avoid potential interpretation of Infinity and NaN as base 44+ values.
|
|
// Any number in exponential form will fail due to the [Ee][+-].
|
|
if ( ( num = typeof n == 'number' ) && n * 0 != 0 ||
|
|
!( new RegExp( '^-?' + ( c = '[' + ALPHABET.slice( 0, b ) + ']+' ) +
|
|
'(?:\\.' + c + ')?$',b < 37 ? 'i' : '' ) ).test(str) ) {
|
|
return parseNumeric( x, str, num, b );
|
|
}
|
|
|
|
if (num) {
|
|
x.s = 1 / n < 0 ? ( str = str.slice(1), -1 ) : 1;
|
|
|
|
if ( ERRORS && str.replace( /^0\.0*|\./, '' ).length > 15 ) {
|
|
|
|
// 'new BigNumber() number type has more than 15 significant digits: {n}'
|
|
raise( id, tooManyDigits, n );
|
|
}
|
|
|
|
// Prevent later check for length on converted number.
|
|
num = false;
|
|
} else {
|
|
x.s = str.charCodeAt(0) === 45 ? ( str = str.slice(1), -1 ) : 1;
|
|
}
|
|
|
|
str = convertBase( str, 10, b, x.s );
|
|
}
|
|
|
|
// Decimal point?
|
|
if ( ( e = str.indexOf('.') ) > -1 ) str = str.replace( '.', '' );
|
|
|
|
// Exponential form?
|
|
if ( ( i = str.search( /e/i ) ) > 0 ) {
|
|
|
|
// Determine exponent.
|
|
if ( e < 0 ) e = i;
|
|
e += +str.slice( i + 1 );
|
|
str = str.substring( 0, i );
|
|
} else if ( e < 0 ) {
|
|
|
|
// Integer.
|
|
e = str.length;
|
|
}
|
|
|
|
// Determine leading zeros.
|
|
for ( i = 0; str.charCodeAt(i) === 48; i++ );
|
|
|
|
// Determine trailing zeros.
|
|
for ( len = str.length; str.charCodeAt(--len) === 48; );
|
|
str = str.slice( i, len + 1 );
|
|
|
|
if (str) {
|
|
len = str.length;
|
|
|
|
// Disallow numbers with over 15 significant digits if number type.
|
|
// 'new BigNumber() number type has more than 15 significant digits: {n}'
|
|
if ( num && ERRORS && len > 15 ) raise( id, tooManyDigits, x.s * n );
|
|
|
|
e = e - i - 1;
|
|
|
|
// Overflow?
|
|
if ( e > MAX_EXP ) {
|
|
|
|
// Infinity.
|
|
x.c = x.e = null;
|
|
|
|
// Underflow?
|
|
} else if ( e < MIN_EXP ) {
|
|
|
|
// Zero.
|
|
x.c = [ x.e = 0 ];
|
|
} else {
|
|
x.e = e;
|
|
x.c = [];
|
|
|
|
// Transform base
|
|
|
|
// e is the base 10 exponent.
|
|
// i is where to slice str to get the first element of the coefficient array.
|
|
i = ( e + 1 ) % LOG_BASE;
|
|
if ( e < 0 ) i += LOG_BASE;
|
|
|
|
if ( i < len ) {
|
|
if (i) x.c.push( +str.slice( 0, i ) );
|
|
|
|
for ( len -= LOG_BASE; i < len; ) {
|
|
x.c.push( +str.slice( i, i += LOG_BASE ) );
|
|
}
|
|
|
|
str = str.slice(i);
|
|
i = LOG_BASE - str.length;
|
|
} else {
|
|
i -= len;
|
|
}
|
|
|
|
for ( ; i--; str += '0' );
|
|
x.c.push( +str );
|
|
}
|
|
} else {
|
|
|
|
// Zero.
|
|
x.c = [ x.e = 0 ];
|
|
}
|
|
|
|
id = 0;
|
|
}
|
|
|
|
|
|
// CONSTRUCTOR PROPERTIES
|
|
|
|
|
|
BigNumber.another = another;
|
|
|
|
BigNumber.ROUND_UP = 0;
|
|
BigNumber.ROUND_DOWN = 1;
|
|
BigNumber.ROUND_CEIL = 2;
|
|
BigNumber.ROUND_FLOOR = 3;
|
|
BigNumber.ROUND_HALF_UP = 4;
|
|
BigNumber.ROUND_HALF_DOWN = 5;
|
|
BigNumber.ROUND_HALF_EVEN = 6;
|
|
BigNumber.ROUND_HALF_CEIL = 7;
|
|
BigNumber.ROUND_HALF_FLOOR = 8;
|
|
BigNumber.EUCLID = 9;
|
|
|
|
|
|
/*
|
|
* Configure infrequently-changing library-wide settings.
|
|
*
|
|
* Accept an object or an argument list, with one or many of the following properties or
|
|
* parameters respectively:
|
|
*
|
|
* DECIMAL_PLACES {number} Integer, 0 to MAX inclusive
|
|
* ROUNDING_MODE {number} Integer, 0 to 8 inclusive
|
|
* EXPONENTIAL_AT {number|number[]} Integer, -MAX to MAX inclusive or
|
|
* [integer -MAX to 0 incl., 0 to MAX incl.]
|
|
* RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
|
|
* [integer -MAX to -1 incl., integer 1 to MAX incl.]
|
|
* ERRORS {boolean|number} true, false, 1 or 0
|
|
* CRYPTO {boolean|number} true, false, 1 or 0
|
|
* MODULO_MODE {number} 0 to 9 inclusive
|
|
* POW_PRECISION {number} 0 to MAX inclusive
|
|
* FORMAT {object} See BigNumber.prototype.toFormat
|
|
* decimalSeparator {string}
|
|
* groupSeparator {string}
|
|
* groupSize {number}
|
|
* secondaryGroupSize {number}
|
|
* fractionGroupSeparator {string}
|
|
* fractionGroupSize {number}
|
|
*
|
|
* (The values assigned to the above FORMAT object properties are not checked for validity.)
|
|
*
|
|
* E.g.
|
|
* BigNumber.config(20, 4) is equivalent to
|
|
* BigNumber.config({ DECIMAL_PLACES : 20, ROUNDING_MODE : 4 })
|
|
*
|
|
* Ignore properties/parameters set to null or undefined.
|
|
* Return an object with the properties current values.
|
|
*/
|
|
BigNumber.config = function () {
|
|
var v, p,
|
|
i = 0,
|
|
r = {},
|
|
a = arguments,
|
|
o = a[0],
|
|
has = o && typeof o == 'object'
|
|
? function () { if ( o.hasOwnProperty(p) ) return ( v = o[p] ) != null; }
|
|
: function () { if ( a.length > i ) return ( v = a[i++] ) != null; };
|
|
|
|
// DECIMAL_PLACES {number} Integer, 0 to MAX inclusive.
|
|
// 'config() DECIMAL_PLACES not an integer: {v}'
|
|
// 'config() DECIMAL_PLACES out of range: {v}'
|
|
if ( has( p = 'DECIMAL_PLACES' ) && isValidInt( v, 0, MAX, 2, p ) ) {
|
|
DECIMAL_PLACES = v | 0;
|
|
}
|
|
r[p] = DECIMAL_PLACES;
|
|
|
|
// ROUNDING_MODE {number} Integer, 0 to 8 inclusive.
|
|
// 'config() ROUNDING_MODE not an integer: {v}'
|
|
// 'config() ROUNDING_MODE out of range: {v}'
|
|
if ( has( p = 'ROUNDING_MODE' ) && isValidInt( v, 0, 8, 2, p ) ) {
|
|
ROUNDING_MODE = v | 0;
|
|
}
|
|
r[p] = ROUNDING_MODE;
|
|
|
|
// EXPONENTIAL_AT {number|number[]}
|
|
// Integer, -MAX to MAX inclusive or [integer -MAX to 0 inclusive, 0 to MAX inclusive].
|
|
// 'config() EXPONENTIAL_AT not an integer: {v}'
|
|
// 'config() EXPONENTIAL_AT out of range: {v}'
|
|
if ( has( p = 'EXPONENTIAL_AT' ) ) {
|
|
|
|
if ( isArray(v) ) {
|
|
if ( isValidInt( v[0], -MAX, 0, 2, p ) && isValidInt( v[1], 0, MAX, 2, p ) ) {
|
|
TO_EXP_NEG = v[0] | 0;
|
|
TO_EXP_POS = v[1] | 0;
|
|
}
|
|
} else if ( isValidInt( v, -MAX, MAX, 2, p ) ) {
|
|
TO_EXP_NEG = -( TO_EXP_POS = ( v < 0 ? -v : v ) | 0 );
|
|
}
|
|
}
|
|
r[p] = [ TO_EXP_NEG, TO_EXP_POS ];
|
|
|
|
// RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or
|
|
// [integer -MAX to -1 inclusive, integer 1 to MAX inclusive].
|
|
// 'config() RANGE not an integer: {v}'
|
|
// 'config() RANGE cannot be zero: {v}'
|
|
// 'config() RANGE out of range: {v}'
|
|
if ( has( p = 'RANGE' ) ) {
|
|
|
|
if ( isArray(v) ) {
|
|
if ( isValidInt( v[0], -MAX, -1, 2, p ) && isValidInt( v[1], 1, MAX, 2, p ) ) {
|
|
MIN_EXP = v[0] | 0;
|
|
MAX_EXP = v[1] | 0;
|
|
}
|
|
} else if ( isValidInt( v, -MAX, MAX, 2, p ) ) {
|
|
if ( v | 0 ) MIN_EXP = -( MAX_EXP = ( v < 0 ? -v : v ) | 0 );
|
|
else if (ERRORS) raise( 2, p + ' cannot be zero', v );
|
|
}
|
|
}
|
|
r[p] = [ MIN_EXP, MAX_EXP ];
|
|
|
|
// ERRORS {boolean|number} true, false, 1 or 0.
|
|
// 'config() ERRORS not a boolean or binary digit: {v}'
|
|
if ( has( p = 'ERRORS' ) ) {
|
|
|
|
if ( v === !!v || v === 1 || v === 0 ) {
|
|
id = 0;
|
|
isValidInt = ( ERRORS = !!v ) ? intValidatorWithErrors : intValidatorNoErrors;
|
|
} else if (ERRORS) {
|
|
raise( 2, p + notBool, v );
|
|
}
|
|
}
|
|
r[p] = ERRORS;
|
|
|
|
// CRYPTO {boolean|number} true, false, 1 or 0.
|
|
// 'config() CRYPTO not a boolean or binary digit: {v}'
|
|
// 'config() crypto unavailable: {crypto}'
|
|
if ( has( p = 'CRYPTO' ) ) {
|
|
|
|
if ( v === !!v || v === 1 || v === 0 ) {
|
|
CRYPTO = !!( v && crypto && typeof crypto == 'object' );
|
|
if ( v && !CRYPTO && ERRORS ) raise( 2, 'crypto unavailable', crypto );
|
|
} else if (ERRORS) {
|
|
raise( 2, p + notBool, v );
|
|
}
|
|
}
|
|
r[p] = CRYPTO;
|
|
|
|
// MODULO_MODE {number} Integer, 0 to 9 inclusive.
|
|
// 'config() MODULO_MODE not an integer: {v}'
|
|
// 'config() MODULO_MODE out of range: {v}'
|
|
if ( has( p = 'MODULO_MODE' ) && isValidInt( v, 0, 9, 2, p ) ) {
|
|
MODULO_MODE = v | 0;
|
|
}
|
|
r[p] = MODULO_MODE;
|
|
|
|
// POW_PRECISION {number} Integer, 0 to MAX inclusive.
|
|
// 'config() POW_PRECISION not an integer: {v}'
|
|
// 'config() POW_PRECISION out of range: {v}'
|
|
if ( has( p = 'POW_PRECISION' ) && isValidInt( v, 0, MAX, 2, p ) ) {
|
|
POW_PRECISION = v | 0;
|
|
}
|
|
r[p] = POW_PRECISION;
|
|
|
|
// FORMAT {object}
|
|
// 'config() FORMAT not an object: {v}'
|
|
if ( has( p = 'FORMAT' ) ) {
|
|
|
|
if ( typeof v == 'object' ) {
|
|
FORMAT = v;
|
|
} else if (ERRORS) {
|
|
raise( 2, p + ' not an object', v );
|
|
}
|
|
}
|
|
r[p] = FORMAT;
|
|
|
|
return r;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the maximum of the arguments.
|
|
*
|
|
* arguments {number|string|BigNumber}
|
|
*/
|
|
BigNumber.max = function () { return maxOrMin( arguments, P.lt ); };
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the minimum of the arguments.
|
|
*
|
|
* arguments {number|string|BigNumber}
|
|
*/
|
|
BigNumber.min = function () { return maxOrMin( arguments, P.gt ); };
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber with a random value equal to or greater than 0 and less than 1,
|
|
* and with dp, or DECIMAL_PLACES if dp is omitted, decimal places (or less if trailing
|
|
* zeros are produced).
|
|
*
|
|
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
|
|
*
|
|
* 'random() decimal places not an integer: {dp}'
|
|
* 'random() decimal places out of range: {dp}'
|
|
* 'random() crypto unavailable: {crypto}'
|
|
*/
|
|
BigNumber.random = (function () {
|
|
var pow2_53 = 0x20000000000000;
|
|
|
|
// Return a 53 bit integer n, where 0 <= n < 9007199254740992.
|
|
// Check if Math.random() produces more than 32 bits of randomness.
|
|
// If it does, assume at least 53 bits are produced, otherwise assume at least 30 bits.
|
|
// 0x40000000 is 2^30, 0x800000 is 2^23, 0x1fffff is 2^21 - 1.
|
|
var random53bitInt = (Math.random() * pow2_53) & 0x1fffff
|
|
? function () { return mathfloor( Math.random() * pow2_53 ); }
|
|
: function () { return ((Math.random() * 0x40000000 | 0) * 0x800000) +
|
|
(Math.random() * 0x800000 | 0); };
|
|
|
|
return function (dp) {
|
|
var a, b, e, k, v,
|
|
i = 0,
|
|
c = [],
|
|
rand = new BigNumber(ONE);
|
|
|
|
dp = dp == null || !isValidInt( dp, 0, MAX, 14 ) ? DECIMAL_PLACES : dp | 0;
|
|
k = mathceil( dp / LOG_BASE );
|
|
|
|
if (CRYPTO) {
|
|
|
|
// Browsers supporting crypto.getRandomValues.
|
|
if ( crypto && crypto.getRandomValues ) {
|
|
|
|
a = crypto.getRandomValues( new Uint32Array( k *= 2 ) );
|
|
|
|
for ( ; i < k; ) {
|
|
|
|
// 53 bits:
|
|
// ((Math.pow(2, 32) - 1) * Math.pow(2, 21)).toString(2)
|
|
// 11111 11111111 11111111 11111111 11100000 00000000 00000000
|
|
// ((Math.pow(2, 32) - 1) >>> 11).toString(2)
|
|
// 11111 11111111 11111111
|
|
// 0x20000 is 2^21.
|
|
v = a[i] * 0x20000 + (a[i + 1] >>> 11);
|
|
|
|
// Rejection sampling:
|
|
// 0 <= v < 9007199254740992
|
|
// Probability that v >= 9e15, is
|
|
// 7199254740992 / 9007199254740992 ~= 0.0008, i.e. 1 in 1251
|
|
if ( v >= 9e15 ) {
|
|
b = crypto.getRandomValues( new Uint32Array(2) );
|
|
a[i] = b[0];
|
|
a[i + 1] = b[1];
|
|
} else {
|
|
|
|
// 0 <= v <= 8999999999999999
|
|
// 0 <= (v % 1e14) <= 99999999999999
|
|
c.push( v % 1e14 );
|
|
i += 2;
|
|
}
|
|
}
|
|
i = k / 2;
|
|
|
|
// Node.js supporting crypto.randomBytes.
|
|
} else if ( crypto && crypto.randomBytes ) {
|
|
|
|
// buffer
|
|
a = crypto.randomBytes( k *= 7 );
|
|
|
|
for ( ; i < k; ) {
|
|
|
|
// 0x1000000000000 is 2^48, 0x10000000000 is 2^40
|
|
// 0x100000000 is 2^32, 0x1000000 is 2^24
|
|
// 11111 11111111 11111111 11111111 11111111 11111111 11111111
|
|
// 0 <= v < 9007199254740992
|
|
v = ( ( a[i] & 31 ) * 0x1000000000000 ) + ( a[i + 1] * 0x10000000000 ) +
|
|
( a[i + 2] * 0x100000000 ) + ( a[i + 3] * 0x1000000 ) +
|
|
( a[i + 4] << 16 ) + ( a[i + 5] << 8 ) + a[i + 6];
|
|
|
|
if ( v >= 9e15 ) {
|
|
crypto.randomBytes(7).copy( a, i );
|
|
} else {
|
|
|
|
// 0 <= (v % 1e14) <= 99999999999999
|
|
c.push( v % 1e14 );
|
|
i += 7;
|
|
}
|
|
}
|
|
i = k / 7;
|
|
} else if (ERRORS) {
|
|
raise( 14, 'crypto unavailable', crypto );
|
|
}
|
|
}
|
|
|
|
// Use Math.random: CRYPTO is false or crypto is unavailable and ERRORS is false.
|
|
if (!i) {
|
|
|
|
for ( ; i < k; ) {
|
|
v = random53bitInt();
|
|
if ( v < 9e15 ) c[i++] = v % 1e14;
|
|
}
|
|
}
|
|
|
|
k = c[--i];
|
|
dp %= LOG_BASE;
|
|
|
|
// Convert trailing digits to zeros according to dp.
|
|
if ( k && dp ) {
|
|
v = POWS_TEN[LOG_BASE - dp];
|
|
c[i] = mathfloor( k / v ) * v;
|
|
}
|
|
|
|
// Remove trailing elements which are zero.
|
|
for ( ; c[i] === 0; c.pop(), i-- );
|
|
|
|
// Zero?
|
|
if ( i < 0 ) {
|
|
c = [ e = 0 ];
|
|
} else {
|
|
|
|
// Remove leading elements which are zero and adjust exponent accordingly.
|
|
for ( e = -1 ; c[0] === 0; c.shift(), e -= LOG_BASE);
|
|
|
|
// Count the digits of the first element of c to determine leading zeros, and...
|
|
for ( i = 1, v = c[0]; v >= 10; v /= 10, i++);
|
|
|
|
// adjust the exponent accordingly.
|
|
if ( i < LOG_BASE ) e -= LOG_BASE - i;
|
|
}
|
|
|
|
rand.e = e;
|
|
rand.c = c;
|
|
return rand;
|
|
};
|
|
})();
|
|
|
|
|
|
// PRIVATE FUNCTIONS
|
|
|
|
|
|
// Convert a numeric string of baseIn to a numeric string of baseOut.
|
|
function convertBase( str, baseOut, baseIn, sign ) {
|
|
var d, e, k, r, x, xc, y,
|
|
i = str.indexOf( '.' ),
|
|
dp = DECIMAL_PLACES,
|
|
rm = ROUNDING_MODE;
|
|
|
|
if ( baseIn < 37 ) str = str.toLowerCase();
|
|
|
|
// Non-integer.
|
|
if ( i >= 0 ) {
|
|
k = POW_PRECISION;
|
|
|
|
// Unlimited precision.
|
|
POW_PRECISION = 0;
|
|
str = str.replace( '.', '' );
|
|
y = new BigNumber(baseIn);
|
|
x = y.pow( str.length - i );
|
|
POW_PRECISION = k;
|
|
|
|
// Convert str as if an integer, then restore the fraction part by dividing the
|
|
// result by its base raised to a power.
|
|
y.c = toBaseOut( toFixedPoint( coeffToString( x.c ), x.e ), 10, baseOut );
|
|
y.e = y.c.length;
|
|
}
|
|
|
|
// Convert the number as integer.
|
|
xc = toBaseOut( str, baseIn, baseOut );
|
|
e = k = xc.length;
|
|
|
|
// Remove trailing zeros.
|
|
for ( ; xc[--k] == 0; xc.pop() );
|
|
if ( !xc[0] ) return '0';
|
|
|
|
if ( i < 0 ) {
|
|
--e;
|
|
} else {
|
|
x.c = xc;
|
|
x.e = e;
|
|
|
|
// sign is needed for correct rounding.
|
|
x.s = sign;
|
|
x = div( x, y, dp, rm, baseOut );
|
|
xc = x.c;
|
|
r = x.r;
|
|
e = x.e;
|
|
}
|
|
|
|
d = e + dp + 1;
|
|
|
|
// The rounding digit, i.e. the digit to the right of the digit that may be rounded up.
|
|
i = xc[d];
|
|
k = baseOut / 2;
|
|
r = r || d < 0 || xc[d + 1] != null;
|
|
|
|
r = rm < 4 ? ( i != null || r ) && ( rm == 0 || rm == ( x.s < 0 ? 3 : 2 ) )
|
|
: i > k || i == k &&( rm == 4 || r || rm == 6 && xc[d - 1] & 1 ||
|
|
rm == ( x.s < 0 ? 8 : 7 ) );
|
|
|
|
if ( d < 1 || !xc[0] ) {
|
|
|
|
// 1^-dp or 0.
|
|
str = r ? toFixedPoint( '1', -dp ) : '0';
|
|
} else {
|
|
xc.length = d;
|
|
|
|
if (r) {
|
|
|
|
// Rounding up may mean the previous digit has to be rounded up and so on.
|
|
for ( --baseOut; ++xc[--d] > baseOut; ) {
|
|
xc[d] = 0;
|
|
|
|
if ( !d ) {
|
|
++e;
|
|
xc.unshift(1);
|
|
}
|
|
}
|
|
}
|
|
|
|
// Determine trailing zeros.
|
|
for ( k = xc.length; !xc[--k]; );
|
|
|
|
// E.g. [4, 11, 15] becomes 4bf.
|
|
for ( i = 0, str = ''; i <= k; str += ALPHABET.charAt( xc[i++] ) );
|
|
str = toFixedPoint( str, e );
|
|
}
|
|
|
|
// The caller will add the sign.
|
|
return str;
|
|
}
|
|
|
|
|
|
// Perform division in the specified base. Called by div and convertBase.
|
|
div = (function () {
|
|
|
|
// Assume non-zero x and k.
|
|
function multiply( x, k, base ) {
|
|
var m, temp, xlo, xhi,
|
|
carry = 0,
|
|
i = x.length,
|
|
klo = k % SQRT_BASE,
|
|
khi = k / SQRT_BASE | 0;
|
|
|
|
for ( x = x.slice(); i--; ) {
|
|
xlo = x[i] % SQRT_BASE;
|
|
xhi = x[i] / SQRT_BASE | 0;
|
|
m = khi * xlo + xhi * klo;
|
|
temp = klo * xlo + ( ( m % SQRT_BASE ) * SQRT_BASE ) + carry;
|
|
carry = ( temp / base | 0 ) + ( m / SQRT_BASE | 0 ) + khi * xhi;
|
|
x[i] = temp % base;
|
|
}
|
|
|
|
if (carry) x.unshift(carry);
|
|
|
|
return x;
|
|
}
|
|
|
|
function compare( a, b, aL, bL ) {
|
|
var i, cmp;
|
|
|
|
if ( aL != bL ) {
|
|
cmp = aL > bL ? 1 : -1;
|
|
} else {
|
|
|
|
for ( i = cmp = 0; i < aL; i++ ) {
|
|
|
|
if ( a[i] != b[i] ) {
|
|
cmp = a[i] > b[i] ? 1 : -1;
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
return cmp;
|
|
}
|
|
|
|
function subtract( a, b, aL, base ) {
|
|
var i = 0;
|
|
|
|
// Subtract b from a.
|
|
for ( ; aL--; ) {
|
|
a[aL] -= i;
|
|
i = a[aL] < b[aL] ? 1 : 0;
|
|
a[aL] = i * base + a[aL] - b[aL];
|
|
}
|
|
|
|
// Remove leading zeros.
|
|
for ( ; !a[0] && a.length > 1; a.shift() );
|
|
}
|
|
|
|
// x: dividend, y: divisor.
|
|
return function ( x, y, dp, rm, base ) {
|
|
var cmp, e, i, more, n, prod, prodL, q, qc, rem, remL, rem0, xi, xL, yc0,
|
|
yL, yz,
|
|
s = x.s == y.s ? 1 : -1,
|
|
xc = x.c,
|
|
yc = y.c;
|
|
|
|
// Either NaN, Infinity or 0?
|
|
if ( !xc || !xc[0] || !yc || !yc[0] ) {
|
|
|
|
return new BigNumber(
|
|
|
|
// Return NaN if either NaN, or both Infinity or 0.
|
|
!x.s || !y.s || ( xc ? yc && xc[0] == yc[0] : !yc ) ? NaN :
|
|
|
|
// Return ±0 if x is ±0 or y is ±Infinity, or return ±Infinity as y is ±0.
|
|
xc && xc[0] == 0 || !yc ? s * 0 : s / 0
|
|
);
|
|
}
|
|
|
|
q = new BigNumber(s);
|
|
qc = q.c = [];
|
|
e = x.e - y.e;
|
|
s = dp + e + 1;
|
|
|
|
if ( !base ) {
|
|
base = BASE;
|
|
e = bitFloor( x.e / LOG_BASE ) - bitFloor( y.e / LOG_BASE );
|
|
s = s / LOG_BASE | 0;
|
|
}
|
|
|
|
// Result exponent may be one less then the current value of e.
|
|
// The coefficients of the BigNumbers from convertBase may have trailing zeros.
|
|
for ( i = 0; yc[i] == ( xc[i] || 0 ); i++ );
|
|
if ( yc[i] > ( xc[i] || 0 ) ) e--;
|
|
|
|
if ( s < 0 ) {
|
|
qc.push(1);
|
|
more = true;
|
|
} else {
|
|
xL = xc.length;
|
|
yL = yc.length;
|
|
i = 0;
|
|
s += 2;
|
|
|
|
// Normalise xc and yc so highest order digit of yc is >= base/2
|
|
|
|
n = mathfloor( base / ( yc[0] + 1 ) );
|
|
|
|
if ( n > 1 ) {
|
|
yc = multiply( yc, n, base );
|
|
xc = multiply( xc, n, base );
|
|
yL = yc.length;
|
|
xL = xc.length;
|
|
}
|
|
|
|
xi = yL;
|
|
rem = xc.slice( 0, yL );
|
|
remL = rem.length;
|
|
|
|
// Add zeros to make remainder as long as divisor.
|
|
for ( ; remL < yL; rem[remL++] = 0 );
|
|
yz = yc.slice();
|
|
yz.unshift(0);
|
|
yc0 = yc[0];
|
|
if ( yc[1] >= base / 2 ) yc0++;
|
|
|
|
do {
|
|
n = 0;
|
|
|
|
// Compare divisor and remainder.
|
|
cmp = compare( yc, rem, yL, remL );
|
|
|
|
// If divisor < remainder.
|
|
if ( cmp < 0 ) {
|
|
|
|
// Calculate trial digit, n.
|
|
|
|
rem0 = rem[0];
|
|
if ( yL != remL ) rem0 = rem0 * base + ( rem[1] || 0 );
|
|
|
|
// n is how many times the divisor goes into the current remainder.
|
|
n = mathfloor( rem0 / yc0 );
|
|
|
|
// Algorithm:
|
|
// 1. product = divisor * trial digit (n)
|
|
// 2. if product > remainder: product -= divisor, n--
|
|
// 3. remainder -= product
|
|
// 4. if product was < remainder at 2:
|
|
// 5. compare new remainder and divisor
|
|
// 6. If remainder > divisor: remainder -= divisor, n++
|
|
|
|
if ( n > 1 ) {
|
|
if ( n >= base ) n = base - 1;
|
|
|
|
// product = divisor * trial digit.
|
|
prod = multiply( yc, n, base );
|
|
prodL = prod.length;
|
|
remL = rem.length;
|
|
|
|
// Compare product and remainder.
|
|
cmp = compare( prod, rem, prodL, remL );
|
|
|
|
// product > remainder.
|
|
if ( cmp == 1 ) {
|
|
n--;
|
|
|
|
// Subtract divisor from product.
|
|
subtract( prod, yL < prodL ? yz : yc, prodL, base );
|
|
}
|
|
} else {
|
|
|
|
// cmp is -1.
|
|
// If n is 0, there is no need to compare yc and rem again
|
|
// below, so change cmp to 1 to avoid it.
|
|
// If n is 1, compare yc and rem again below.
|
|
if ( n == 0 ) cmp = n = 1;
|
|
prod = yc.slice();
|
|
}
|
|
|
|
prodL = prod.length;
|
|
if ( prodL < remL ) prod.unshift(0);
|
|
|
|
// Subtract product from remainder.
|
|
subtract( rem, prod, remL, base );
|
|
|
|
// If product was < previous remainder.
|
|
if ( cmp == -1 ) {
|
|
remL = rem.length;
|
|
|
|
// Compare divisor and new remainder.
|
|
cmp = compare( yc, rem, yL, remL );
|
|
|
|
// If divisor < new remainder, subtract divisor from remainder.
|
|
if ( cmp < 1 ) {
|
|
n++;
|
|
|
|
// Subtract divisor from remainder.
|
|
subtract( rem, yL < remL ? yz : yc, remL, base );
|
|
}
|
|
}
|
|
remL = rem.length;
|
|
} else if ( cmp === 0 ) {
|
|
n++;
|
|
rem = [0];
|
|
}
|
|
// if cmp === 1, n will be 0
|
|
|
|
// Add the next digit, n, to the result array.
|
|
qc[i++] = n;
|
|
|
|
// Update the remainder.
|
|
if ( cmp && rem[0] ) {
|
|
rem[remL++] = xc[xi] || 0;
|
|
} else {
|
|
rem = [ xc[xi] ];
|
|
remL = 1;
|
|
}
|
|
} while ( ( xi++ < xL || rem[0] != null ) && s-- );
|
|
|
|
more = rem[0] != null;
|
|
|
|
// Leading zero?
|
|
if ( !qc[0] ) qc.shift();
|
|
}
|
|
|
|
if ( base == BASE ) {
|
|
|
|
// To calculate q.e, first get the number of digits of qc[0].
|
|
for ( i = 1, s = qc[0]; s >= 10; s /= 10, i++ );
|
|
round( q, dp + ( q.e = i + e * LOG_BASE - 1 ) + 1, rm, more );
|
|
|
|
// Caller is convertBase.
|
|
} else {
|
|
q.e = e;
|
|
q.r = +more;
|
|
}
|
|
|
|
return q;
|
|
};
|
|
})();
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of BigNumber n in fixed-point or exponential
|
|
* notation rounded to the specified decimal places or significant digits.
|
|
*
|
|
* n is a BigNumber.
|
|
* i is the index of the last digit required (i.e. the digit that may be rounded up).
|
|
* rm is the rounding mode.
|
|
* caller is caller id: toExponential 19, toFixed 20, toFormat 21, toPrecision 24.
|
|
*/
|
|
function format( n, i, rm, caller ) {
|
|
var c0, e, ne, len, str;
|
|
|
|
rm = rm != null && isValidInt( rm, 0, 8, caller, roundingMode )
|
|
? rm | 0 : ROUNDING_MODE;
|
|
|
|
if ( !n.c ) return n.toString();
|
|
c0 = n.c[0];
|
|
ne = n.e;
|
|
|
|
if ( i == null ) {
|
|
str = coeffToString( n.c );
|
|
str = caller == 19 || caller == 24 && ne <= TO_EXP_NEG
|
|
? toExponential( str, ne )
|
|
: toFixedPoint( str, ne );
|
|
} else {
|
|
n = round( new BigNumber(n), i, rm );
|
|
|
|
// n.e may have changed if the value was rounded up.
|
|
e = n.e;
|
|
|
|
str = coeffToString( n.c );
|
|
len = str.length;
|
|
|
|
// toPrecision returns exponential notation if the number of significant digits
|
|
// specified is less than the number of digits necessary to represent the integer
|
|
// part of the value in fixed-point notation.
|
|
|
|
// Exponential notation.
|
|
if ( caller == 19 || caller == 24 && ( i <= e || e <= TO_EXP_NEG ) ) {
|
|
|
|
// Append zeros?
|
|
for ( ; len < i; str += '0', len++ );
|
|
str = toExponential( str, e );
|
|
|
|
// Fixed-point notation.
|
|
} else {
|
|
i -= ne;
|
|
str = toFixedPoint( str, e );
|
|
|
|
// Append zeros?
|
|
if ( e + 1 > len ) {
|
|
if ( --i > 0 ) for ( str += '.'; i--; str += '0' );
|
|
} else {
|
|
i += e - len;
|
|
if ( i > 0 ) {
|
|
if ( e + 1 == len ) str += '.';
|
|
for ( ; i--; str += '0' );
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return n.s < 0 && c0 ? '-' + str : str;
|
|
}
|
|
|
|
|
|
// Handle BigNumber.max and BigNumber.min.
|
|
function maxOrMin( args, method ) {
|
|
var m, n,
|
|
i = 0;
|
|
|
|
if ( isArray( args[0] ) ) args = args[0];
|
|
m = new BigNumber( args[0] );
|
|
|
|
for ( ; ++i < args.length; ) {
|
|
n = new BigNumber( args[i] );
|
|
|
|
// If any number is NaN, return NaN.
|
|
if ( !n.s ) {
|
|
m = n;
|
|
break;
|
|
} else if ( method.call( m, n ) ) {
|
|
m = n;
|
|
}
|
|
}
|
|
|
|
return m;
|
|
}
|
|
|
|
|
|
/*
|
|
* Return true if n is an integer in range, otherwise throw.
|
|
* Use for argument validation when ERRORS is true.
|
|
*/
|
|
function intValidatorWithErrors( n, min, max, caller, name ) {
|
|
if ( n < min || n > max || n != truncate(n) ) {
|
|
raise( caller, ( name || 'decimal places' ) +
|
|
( n < min || n > max ? ' out of range' : ' not an integer' ), n );
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
|
|
/*
|
|
* Strip trailing zeros, calculate base 10 exponent and check against MIN_EXP and MAX_EXP.
|
|
* Called by minus, plus and times.
|
|
*/
|
|
function normalise( n, c, e ) {
|
|
var i = 1,
|
|
j = c.length;
|
|
|
|
// Remove trailing zeros.
|
|
for ( ; !c[--j]; c.pop() );
|
|
|
|
// Calculate the base 10 exponent. First get the number of digits of c[0].
|
|
for ( j = c[0]; j >= 10; j /= 10, i++ );
|
|
|
|
// Overflow?
|
|
if ( ( e = i + e * LOG_BASE - 1 ) > MAX_EXP ) {
|
|
|
|
// Infinity.
|
|
n.c = n.e = null;
|
|
|
|
// Underflow?
|
|
} else if ( e < MIN_EXP ) {
|
|
|
|
// Zero.
|
|
n.c = [ n.e = 0 ];
|
|
} else {
|
|
n.e = e;
|
|
n.c = c;
|
|
}
|
|
|
|
return n;
|
|
}
|
|
|
|
|
|
// Handle values that fail the validity test in BigNumber.
|
|
parseNumeric = (function () {
|
|
// var basePrefix = /^(-?)0([xbo])(?=\w[\w.]*$)/i,
|
|
var basePrefix = /^(-?)0([xbo])/i,
|
|
dotAfter = /^([^.]+)\.$/,
|
|
dotBefore = /^\.([^.]+)$/,
|
|
isInfinityOrNaN = /^-?(Infinity|NaN)$/,
|
|
// whitespaceOrPlus = /^\s*\+(?=[\w.])|^\s+|\s+$/g;
|
|
whitespaceOrPlus = /^\s*\+[\w.]|^\s+|\s+$/g;
|
|
|
|
return function ( x, str, num, b ) {
|
|
var base,
|
|
s = num ? str : str.replace( whitespaceOrPlus, '' );
|
|
|
|
// No exception on ±Infinity or NaN.
|
|
if ( isInfinityOrNaN.test(s) ) {
|
|
x.s = isNaN(s) ? null : s < 0 ? -1 : 1;
|
|
} else {
|
|
if ( !num ) {
|
|
|
|
// basePrefix = /^(-?)0([xbo])(?=\w[\w.]*$)/i
|
|
s = s.replace( basePrefix, function ( m, p1, p2 ) {
|
|
base = ( p2 = p2.toLowerCase() ) == 'x' ? 16 : p2 == 'b' ? 2 : 8;
|
|
return !b || b == base ? p1 : m;
|
|
});
|
|
|
|
if (b) {
|
|
base = b;
|
|
|
|
// E.g. '1.' to '1', '.1' to '0.1'
|
|
s = s.replace( dotAfter, '$1' ).replace( dotBefore, '0.$1' );
|
|
}
|
|
|
|
if ( str != s ) return new BigNumber( s, base );
|
|
}
|
|
|
|
// 'new BigNumber() not a number: {n}'
|
|
// 'new BigNumber() not a base {b} number: {n}'
|
|
if (ERRORS) raise( id, 'not a' + ( b ? ' base ' + b : '' ) + ' number', str );
|
|
x.s = null;
|
|
}
|
|
|
|
x.c = x.e = null;
|
|
id = 0;
|
|
}
|
|
})();
|
|
|
|
|
|
// Throw a BigNumber Error.
|
|
function raise( caller, msg, val ) {
|
|
var error = new Error( [
|
|
'new BigNumber', // 0
|
|
'cmp', // 1
|
|
'config', // 2
|
|
'div', // 3
|
|
'divToInt', // 4
|
|
'eq', // 5
|
|
'gt', // 6
|
|
'gte', // 7
|
|
'lt', // 8
|
|
'lte', // 9
|
|
'minus', // 10
|
|
'mod', // 11
|
|
'plus', // 12
|
|
'precision', // 13
|
|
'random', // 14
|
|
'round', // 15
|
|
'shift', // 16
|
|
'times', // 17
|
|
'toDigits', // 18
|
|
'toExponential', // 19
|
|
'toFixed', // 20
|
|
'toFormat', // 21
|
|
'toFraction', // 22
|
|
'pow', // 23
|
|
'toPrecision', // 24
|
|
'toString', // 25
|
|
'BigNumber' // 26
|
|
][caller] + '() ' + msg + ': ' + val );
|
|
|
|
error.name = 'BigNumber Error';
|
|
id = 0;
|
|
throw error;
|
|
}
|
|
|
|
|
|
/*
|
|
* Round x to sd significant digits using rounding mode rm. Check for over/under-flow.
|
|
* If r is truthy, it is known that there are more digits after the rounding digit.
|
|
*/
|
|
function round( x, sd, rm, r ) {
|
|
var d, i, j, k, n, ni, rd,
|
|
xc = x.c,
|
|
pows10 = POWS_TEN;
|
|
|
|
// if x is not Infinity or NaN...
|
|
if (xc) {
|
|
|
|
// rd is the rounding digit, i.e. the digit after the digit that may be rounded up.
|
|
// n is a base 1e14 number, the value of the element of array x.c containing rd.
|
|
// ni is the index of n within x.c.
|
|
// d is the number of digits of n.
|
|
// i is the index of rd within n including leading zeros.
|
|
// j is the actual index of rd within n (if < 0, rd is a leading zero).
|
|
out: {
|
|
|
|
// Get the number of digits of the first element of xc.
|
|
for ( d = 1, k = xc[0]; k >= 10; k /= 10, d++ );
|
|
i = sd - d;
|
|
|
|
// If the rounding digit is in the first element of xc...
|
|
if ( i < 0 ) {
|
|
i += LOG_BASE;
|
|
j = sd;
|
|
n = xc[ ni = 0 ];
|
|
|
|
// Get the rounding digit at index j of n.
|
|
rd = n / pows10[ d - j - 1 ] % 10 | 0;
|
|
} else {
|
|
ni = mathceil( ( i + 1 ) / LOG_BASE );
|
|
|
|
if ( ni >= xc.length ) {
|
|
|
|
if (r) {
|
|
|
|
// Needed by sqrt.
|
|
for ( ; xc.length <= ni; xc.push(0) );
|
|
n = rd = 0;
|
|
d = 1;
|
|
i %= LOG_BASE;
|
|
j = i - LOG_BASE + 1;
|
|
} else {
|
|
break out;
|
|
}
|
|
} else {
|
|
n = k = xc[ni];
|
|
|
|
// Get the number of digits of n.
|
|
for ( d = 1; k >= 10; k /= 10, d++ );
|
|
|
|
// Get the index of rd within n.
|
|
i %= LOG_BASE;
|
|
|
|
// Get the index of rd within n, adjusted for leading zeros.
|
|
// The number of leading zeros of n is given by LOG_BASE - d.
|
|
j = i - LOG_BASE + d;
|
|
|
|
// Get the rounding digit at index j of n.
|
|
rd = j < 0 ? 0 : n / pows10[ d - j - 1 ] % 10 | 0;
|
|
}
|
|
}
|
|
|
|
r = r || sd < 0 ||
|
|
|
|
// Are there any non-zero digits after the rounding digit?
|
|
// The expression n % pows10[ d - j - 1 ] returns all digits of n to the right
|
|
// of the digit at j, e.g. if n is 908714 and j is 2, the expression gives 714.
|
|
xc[ni + 1] != null || ( j < 0 ? n : n % pows10[ d - j - 1 ] );
|
|
|
|
r = rm < 4
|
|
? ( rd || r ) && ( rm == 0 || rm == ( x.s < 0 ? 3 : 2 ) )
|
|
: rd > 5 || rd == 5 && ( rm == 4 || r || rm == 6 &&
|
|
|
|
// Check whether the digit to the left of the rounding digit is odd.
|
|
( ( i > 0 ? j > 0 ? n / pows10[ d - j ] : 0 : xc[ni - 1] ) % 10 ) & 1 ||
|
|
rm == ( x.s < 0 ? 8 : 7 ) );
|
|
|
|
if ( sd < 1 || !xc[0] ) {
|
|
xc.length = 0;
|
|
|
|
if (r) {
|
|
|
|
// Convert sd to decimal places.
|
|
sd -= x.e + 1;
|
|
|
|
// 1, 0.1, 0.01, 0.001, 0.0001 etc.
|
|
xc[0] = pows10[ sd % LOG_BASE ];
|
|
x.e = -sd || 0;
|
|
} else {
|
|
|
|
// Zero.
|
|
xc[0] = x.e = 0;
|
|
}
|
|
|
|
return x;
|
|
}
|
|
|
|
// Remove excess digits.
|
|
if ( i == 0 ) {
|
|
xc.length = ni;
|
|
k = 1;
|
|
ni--;
|
|
} else {
|
|
xc.length = ni + 1;
|
|
k = pows10[ LOG_BASE - i ];
|
|
|
|
// E.g. 56700 becomes 56000 if 7 is the rounding digit.
|
|
// j > 0 means i > number of leading zeros of n.
|
|
xc[ni] = j > 0 ? mathfloor( n / pows10[ d - j ] % pows10[j] ) * k : 0;
|
|
}
|
|
|
|
// Round up?
|
|
if (r) {
|
|
|
|
for ( ; ; ) {
|
|
|
|
// If the digit to be rounded up is in the first element of xc...
|
|
if ( ni == 0 ) {
|
|
|
|
// i will be the length of xc[0] before k is added.
|
|
for ( i = 1, j = xc[0]; j >= 10; j /= 10, i++ );
|
|
j = xc[0] += k;
|
|
for ( k = 1; j >= 10; j /= 10, k++ );
|
|
|
|
// if i != k the length has increased.
|
|
if ( i != k ) {
|
|
x.e++;
|
|
if ( xc[0] == BASE ) xc[0] = 1;
|
|
}
|
|
|
|
break;
|
|
} else {
|
|
xc[ni] += k;
|
|
if ( xc[ni] != BASE ) break;
|
|
xc[ni--] = 0;
|
|
k = 1;
|
|
}
|
|
}
|
|
}
|
|
|
|
// Remove trailing zeros.
|
|
for ( i = xc.length; xc[--i] === 0; xc.pop() );
|
|
}
|
|
|
|
// Overflow? Infinity.
|
|
if ( x.e > MAX_EXP ) {
|
|
x.c = x.e = null;
|
|
|
|
// Underflow? Zero.
|
|
} else if ( x.e < MIN_EXP ) {
|
|
x.c = [ x.e = 0 ];
|
|
}
|
|
}
|
|
|
|
return x;
|
|
}
|
|
|
|
|
|
// PROTOTYPE/INSTANCE METHODS
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the absolute value of this BigNumber.
|
|
*/
|
|
P.absoluteValue = P.abs = function () {
|
|
var x = new BigNumber(this);
|
|
if ( x.s < 0 ) x.s = 1;
|
|
return x;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber rounded to a whole
|
|
* number in the direction of Infinity.
|
|
*/
|
|
P.ceil = function () {
|
|
return round( new BigNumber(this), this.e + 1, 2 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return
|
|
* 1 if the value of this BigNumber is greater than the value of BigNumber(y, b),
|
|
* -1 if the value of this BigNumber is less than the value of BigNumber(y, b),
|
|
* 0 if they have the same value,
|
|
* or null if the value of either is NaN.
|
|
*/
|
|
P.comparedTo = P.cmp = function ( y, b ) {
|
|
id = 1;
|
|
return compare( this, new BigNumber( y, b ) );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return the number of decimal places of the value of this BigNumber, or null if the value
|
|
* of this BigNumber is ±Infinity or NaN.
|
|
*/
|
|
P.decimalPlaces = P.dp = function () {
|
|
var n, v,
|
|
c = this.c;
|
|
|
|
if ( !c ) return null;
|
|
n = ( ( v = c.length - 1 ) - bitFloor( this.e / LOG_BASE ) ) * LOG_BASE;
|
|
|
|
// Subtract the number of trailing zeros of the last number.
|
|
if ( v = c[v] ) for ( ; v % 10 == 0; v /= 10, n-- );
|
|
if ( n < 0 ) n = 0;
|
|
|
|
return n;
|
|
};
|
|
|
|
|
|
/*
|
|
* n / 0 = I
|
|
* n / N = N
|
|
* n / I = 0
|
|
* 0 / n = 0
|
|
* 0 / 0 = N
|
|
* 0 / N = N
|
|
* 0 / I = 0
|
|
* N / n = N
|
|
* N / 0 = N
|
|
* N / N = N
|
|
* N / I = N
|
|
* I / n = I
|
|
* I / 0 = I
|
|
* I / N = N
|
|
* I / I = N
|
|
*
|
|
* Return a new BigNumber whose value is the value of this BigNumber divided by the value of
|
|
* BigNumber(y, b), rounded according to DECIMAL_PLACES and ROUNDING_MODE.
|
|
*/
|
|
P.dividedBy = P.div = function ( y, b ) {
|
|
id = 3;
|
|
return div( this, new BigNumber( y, b ), DECIMAL_PLACES, ROUNDING_MODE );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the integer part of dividing the value of this
|
|
* BigNumber by the value of BigNumber(y, b).
|
|
*/
|
|
P.dividedToIntegerBy = P.divToInt = function ( y, b ) {
|
|
id = 4;
|
|
return div( this, new BigNumber( y, b ), 0, 1 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is equal to the value of BigNumber(y, b),
|
|
* otherwise returns false.
|
|
*/
|
|
P.equals = P.eq = function ( y, b ) {
|
|
id = 5;
|
|
return compare( this, new BigNumber( y, b ) ) === 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber rounded to a whole
|
|
* number in the direction of -Infinity.
|
|
*/
|
|
P.floor = function () {
|
|
return round( new BigNumber(this), this.e + 1, 3 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is greater than the value of BigNumber(y, b),
|
|
* otherwise returns false.
|
|
*/
|
|
P.greaterThan = P.gt = function ( y, b ) {
|
|
id = 6;
|
|
return compare( this, new BigNumber( y, b ) ) > 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is greater than or equal to the value of
|
|
* BigNumber(y, b), otherwise returns false.
|
|
*/
|
|
P.greaterThanOrEqualTo = P.gte = function ( y, b ) {
|
|
id = 7;
|
|
return ( b = compare( this, new BigNumber( y, b ) ) ) === 1 || b === 0;
|
|
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is a finite number, otherwise returns false.
|
|
*/
|
|
P.isFinite = function () {
|
|
return !!this.c;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is an integer, otherwise return false.
|
|
*/
|
|
P.isInteger = P.isInt = function () {
|
|
return !!this.c && bitFloor( this.e / LOG_BASE ) > this.c.length - 2;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is NaN, otherwise returns false.
|
|
*/
|
|
P.isNaN = function () {
|
|
return !this.s;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is negative, otherwise returns false.
|
|
*/
|
|
P.isNegative = P.isNeg = function () {
|
|
return this.s < 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is 0 or -0, otherwise returns false.
|
|
*/
|
|
P.isZero = function () {
|
|
return !!this.c && this.c[0] == 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is less than the value of BigNumber(y, b),
|
|
* otherwise returns false.
|
|
*/
|
|
P.lessThan = P.lt = function ( y, b ) {
|
|
id = 8;
|
|
return compare( this, new BigNumber( y, b ) ) < 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return true if the value of this BigNumber is less than or equal to the value of
|
|
* BigNumber(y, b), otherwise returns false.
|
|
*/
|
|
P.lessThanOrEqualTo = P.lte = function ( y, b ) {
|
|
id = 9;
|
|
return ( b = compare( this, new BigNumber( y, b ) ) ) === -1 || b === 0;
|
|
};
|
|
|
|
|
|
/*
|
|
* n - 0 = n
|
|
* n - N = N
|
|
* n - I = -I
|
|
* 0 - n = -n
|
|
* 0 - 0 = 0
|
|
* 0 - N = N
|
|
* 0 - I = -I
|
|
* N - n = N
|
|
* N - 0 = N
|
|
* N - N = N
|
|
* N - I = N
|
|
* I - n = I
|
|
* I - 0 = I
|
|
* I - N = N
|
|
* I - I = N
|
|
*
|
|
* Return a new BigNumber whose value is the value of this BigNumber minus the value of
|
|
* BigNumber(y, b).
|
|
*/
|
|
P.minus = P.sub = function ( y, b ) {
|
|
var i, j, t, xLTy,
|
|
x = this,
|
|
a = x.s;
|
|
|
|
id = 10;
|
|
y = new BigNumber( y, b );
|
|
b = y.s;
|
|
|
|
// Either NaN?
|
|
if ( !a || !b ) return new BigNumber(NaN);
|
|
|
|
// Signs differ?
|
|
if ( a != b ) {
|
|
y.s = -b;
|
|
return x.plus(y);
|
|
}
|
|
|
|
var xe = x.e / LOG_BASE,
|
|
ye = y.e / LOG_BASE,
|
|
xc = x.c,
|
|
yc = y.c;
|
|
|
|
if ( !xe || !ye ) {
|
|
|
|
// Either Infinity?
|
|
if ( !xc || !yc ) return xc ? ( y.s = -b, y ) : new BigNumber( yc ? x : NaN );
|
|
|
|
// Either zero?
|
|
if ( !xc[0] || !yc[0] ) {
|
|
|
|
// Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
|
|
return yc[0] ? ( y.s = -b, y ) : new BigNumber( xc[0] ? x :
|
|
|
|
// IEEE 754 (2008) 6.3: n - n = -0 when rounding to -Infinity
|
|
ROUNDING_MODE == 3 ? -0 : 0 );
|
|
}
|
|
}
|
|
|
|
xe = bitFloor(xe);
|
|
ye = bitFloor(ye);
|
|
xc = xc.slice();
|
|
|
|
// Determine which is the bigger number.
|
|
if ( a = xe - ye ) {
|
|
|
|
if ( xLTy = a < 0 ) {
|
|
a = -a;
|
|
t = xc;
|
|
} else {
|
|
ye = xe;
|
|
t = yc;
|
|
}
|
|
|
|
t.reverse();
|
|
|
|
// Prepend zeros to equalise exponents.
|
|
for ( b = a; b--; t.push(0) );
|
|
t.reverse();
|
|
} else {
|
|
|
|
// Exponents equal. Check digit by digit.
|
|
j = ( xLTy = ( a = xc.length ) < ( b = yc.length ) ) ? a : b;
|
|
|
|
for ( a = b = 0; b < j; b++ ) {
|
|
|
|
if ( xc[b] != yc[b] ) {
|
|
xLTy = xc[b] < yc[b];
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
|
|
// x < y? Point xc to the array of the bigger number.
|
|
if (xLTy) t = xc, xc = yc, yc = t, y.s = -y.s;
|
|
|
|
b = ( j = yc.length ) - ( i = xc.length );
|
|
|
|
// Append zeros to xc if shorter.
|
|
// No need to add zeros to yc if shorter as subtract only needs to start at yc.length.
|
|
if ( b > 0 ) for ( ; b--; xc[i++] = 0 );
|
|
b = BASE - 1;
|
|
|
|
// Subtract yc from xc.
|
|
for ( ; j > a; ) {
|
|
|
|
if ( xc[--j] < yc[j] ) {
|
|
for ( i = j; i && !xc[--i]; xc[i] = b );
|
|
--xc[i];
|
|
xc[j] += BASE;
|
|
}
|
|
|
|
xc[j] -= yc[j];
|
|
}
|
|
|
|
// Remove leading zeros and adjust exponent accordingly.
|
|
for ( ; xc[0] == 0; xc.shift(), --ye );
|
|
|
|
// Zero?
|
|
if ( !xc[0] ) {
|
|
|
|
// Following IEEE 754 (2008) 6.3,
|
|
// n - n = +0 but n - n = -0 when rounding towards -Infinity.
|
|
y.s = ROUNDING_MODE == 3 ? -1 : 1;
|
|
y.c = [ y.e = 0 ];
|
|
return y;
|
|
}
|
|
|
|
// No need to check for Infinity as +x - +y != Infinity && -x - -y != Infinity
|
|
// for finite x and y.
|
|
return normalise( y, xc, ye );
|
|
};
|
|
|
|
|
|
/*
|
|
* n % 0 = N
|
|
* n % N = N
|
|
* n % I = n
|
|
* 0 % n = 0
|
|
* -0 % n = -0
|
|
* 0 % 0 = N
|
|
* 0 % N = N
|
|
* 0 % I = 0
|
|
* N % n = N
|
|
* N % 0 = N
|
|
* N % N = N
|
|
* N % I = N
|
|
* I % n = N
|
|
* I % 0 = N
|
|
* I % N = N
|
|
* I % I = N
|
|
*
|
|
* Return a new BigNumber whose value is the value of this BigNumber modulo the value of
|
|
* BigNumber(y, b). The result depends on the value of MODULO_MODE.
|
|
*/
|
|
P.modulo = P.mod = function ( y, b ) {
|
|
var q, s,
|
|
x = this;
|
|
|
|
id = 11;
|
|
y = new BigNumber( y, b );
|
|
|
|
// Return NaN if x is Infinity or NaN, or y is NaN or zero.
|
|
if ( !x.c || !y.s || y.c && !y.c[0] ) {
|
|
return new BigNumber(NaN);
|
|
|
|
// Return x if y is Infinity or x is zero.
|
|
} else if ( !y.c || x.c && !x.c[0] ) {
|
|
return new BigNumber(x);
|
|
}
|
|
|
|
if ( MODULO_MODE == 9 ) {
|
|
|
|
// Euclidian division: q = sign(y) * floor(x / abs(y))
|
|
// r = x - qy where 0 <= r < abs(y)
|
|
s = y.s;
|
|
y.s = 1;
|
|
q = div( x, y, 0, 3 );
|
|
y.s = s;
|
|
q.s *= s;
|
|
} else {
|
|
q = div( x, y, 0, MODULO_MODE );
|
|
}
|
|
|
|
return x.minus( q.times(y) );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber negated,
|
|
* i.e. multiplied by -1.
|
|
*/
|
|
P.negated = P.neg = function () {
|
|
var x = new BigNumber(this);
|
|
x.s = -x.s || null;
|
|
return x;
|
|
};
|
|
|
|
|
|
/*
|
|
* n + 0 = n
|
|
* n + N = N
|
|
* n + I = I
|
|
* 0 + n = n
|
|
* 0 + 0 = 0
|
|
* 0 + N = N
|
|
* 0 + I = I
|
|
* N + n = N
|
|
* N + 0 = N
|
|
* N + N = N
|
|
* N + I = N
|
|
* I + n = I
|
|
* I + 0 = I
|
|
* I + N = N
|
|
* I + I = I
|
|
*
|
|
* Return a new BigNumber whose value is the value of this BigNumber plus the value of
|
|
* BigNumber(y, b).
|
|
*/
|
|
P.plus = P.add = function ( y, b ) {
|
|
var t,
|
|
x = this,
|
|
a = x.s;
|
|
|
|
id = 12;
|
|
y = new BigNumber( y, b );
|
|
b = y.s;
|
|
|
|
// Either NaN?
|
|
if ( !a || !b ) return new BigNumber(NaN);
|
|
|
|
// Signs differ?
|
|
if ( a != b ) {
|
|
y.s = -b;
|
|
return x.minus(y);
|
|
}
|
|
|
|
var xe = x.e / LOG_BASE,
|
|
ye = y.e / LOG_BASE,
|
|
xc = x.c,
|
|
yc = y.c;
|
|
|
|
if ( !xe || !ye ) {
|
|
|
|
// Return ±Infinity if either ±Infinity.
|
|
if ( !xc || !yc ) return new BigNumber( a / 0 );
|
|
|
|
// Either zero?
|
|
// Return y if y is non-zero, x if x is non-zero, or zero if both are zero.
|
|
if ( !xc[0] || !yc[0] ) return yc[0] ? y : new BigNumber( xc[0] ? x : a * 0 );
|
|
}
|
|
|
|
xe = bitFloor(xe);
|
|
ye = bitFloor(ye);
|
|
xc = xc.slice();
|
|
|
|
// Prepend zeros to equalise exponents. Faster to use reverse then do unshifts.
|
|
if ( a = xe - ye ) {
|
|
if ( a > 0 ) {
|
|
ye = xe;
|
|
t = yc;
|
|
} else {
|
|
a = -a;
|
|
t = xc;
|
|
}
|
|
|
|
t.reverse();
|
|
for ( ; a--; t.push(0) );
|
|
t.reverse();
|
|
}
|
|
|
|
a = xc.length;
|
|
b = yc.length;
|
|
|
|
// Point xc to the longer array, and b to the shorter length.
|
|
if ( a - b < 0 ) t = yc, yc = xc, xc = t, b = a;
|
|
|
|
// Only start adding at yc.length - 1 as the further digits of xc can be ignored.
|
|
for ( a = 0; b; ) {
|
|
a = ( xc[--b] = xc[b] + yc[b] + a ) / BASE | 0;
|
|
xc[b] %= BASE;
|
|
}
|
|
|
|
if (a) {
|
|
xc.unshift(a);
|
|
++ye;
|
|
}
|
|
|
|
// No need to check for zero, as +x + +y != 0 && -x + -y != 0
|
|
// ye = MAX_EXP + 1 possible
|
|
return normalise( y, xc, ye );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return the number of significant digits of the value of this BigNumber.
|
|
*
|
|
* [z] {boolean|number} Whether to count integer-part trailing zeros: true, false, 1 or 0.
|
|
*/
|
|
P.precision = P.sd = function (z) {
|
|
var n, v,
|
|
x = this,
|
|
c = x.c;
|
|
|
|
// 'precision() argument not a boolean or binary digit: {z}'
|
|
if ( z != null && z !== !!z && z !== 1 && z !== 0 ) {
|
|
if (ERRORS) raise( 13, 'argument' + notBool, z );
|
|
if ( z != !!z ) z = null;
|
|
}
|
|
|
|
if ( !c ) return null;
|
|
v = c.length - 1;
|
|
n = v * LOG_BASE + 1;
|
|
|
|
if ( v = c[v] ) {
|
|
|
|
// Subtract the number of trailing zeros of the last element.
|
|
for ( ; v % 10 == 0; v /= 10, n-- );
|
|
|
|
// Add the number of digits of the first element.
|
|
for ( v = c[0]; v >= 10; v /= 10, n++ );
|
|
}
|
|
|
|
if ( z && x.e + 1 > n ) n = x.e + 1;
|
|
|
|
return n;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber rounded to a maximum of
|
|
* dp decimal places using rounding mode rm, or to 0 and ROUNDING_MODE respectively if
|
|
* omitted.
|
|
*
|
|
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'round() decimal places out of range: {dp}'
|
|
* 'round() decimal places not an integer: {dp}'
|
|
* 'round() rounding mode not an integer: {rm}'
|
|
* 'round() rounding mode out of range: {rm}'
|
|
*/
|
|
P.round = function ( dp, rm ) {
|
|
var n = new BigNumber(this);
|
|
|
|
if ( dp == null || isValidInt( dp, 0, MAX, 15 ) ) {
|
|
round( n, ~~dp + this.e + 1, rm == null ||
|
|
!isValidInt( rm, 0, 8, 15, roundingMode ) ? ROUNDING_MODE : rm | 0 );
|
|
}
|
|
|
|
return n;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber shifted by k places
|
|
* (powers of 10). Shift to the right if n > 0, and to the left if n < 0.
|
|
*
|
|
* k {number} Integer, -MAX_SAFE_INTEGER to MAX_SAFE_INTEGER inclusive.
|
|
*
|
|
* If k is out of range and ERRORS is false, the result will be ±0 if k < 0, or ±Infinity
|
|
* otherwise.
|
|
*
|
|
* 'shift() argument not an integer: {k}'
|
|
* 'shift() argument out of range: {k}'
|
|
*/
|
|
P.shift = function (k) {
|
|
var n = this;
|
|
return isValidInt( k, -MAX_SAFE_INTEGER, MAX_SAFE_INTEGER, 16, 'argument' )
|
|
|
|
// k < 1e+21, or truncate(k) will produce exponential notation.
|
|
? n.times( '1e' + truncate(k) )
|
|
: new BigNumber( n.c && n.c[0] && ( k < -MAX_SAFE_INTEGER || k > MAX_SAFE_INTEGER )
|
|
? n.s * ( k < 0 ? 0 : 1 / 0 )
|
|
: n );
|
|
};
|
|
|
|
|
|
/*
|
|
* sqrt(-n) = N
|
|
* sqrt( N) = N
|
|
* sqrt(-I) = N
|
|
* sqrt( I) = I
|
|
* sqrt( 0) = 0
|
|
* sqrt(-0) = -0
|
|
*
|
|
* Return a new BigNumber whose value is the square root of the value of this BigNumber,
|
|
* rounded according to DECIMAL_PLACES and ROUNDING_MODE.
|
|
*/
|
|
P.squareRoot = P.sqrt = function () {
|
|
var m, n, r, rep, t,
|
|
x = this,
|
|
c = x.c,
|
|
s = x.s,
|
|
e = x.e,
|
|
dp = DECIMAL_PLACES + 4,
|
|
half = new BigNumber('0.5');
|
|
|
|
// Negative/NaN/Infinity/zero?
|
|
if ( s !== 1 || !c || !c[0] ) {
|
|
return new BigNumber( !s || s < 0 && ( !c || c[0] ) ? NaN : c ? x : 1 / 0 );
|
|
}
|
|
|
|
// Initial estimate.
|
|
s = Math.sqrt( +x );
|
|
|
|
// Math.sqrt underflow/overflow?
|
|
// Pass x to Math.sqrt as integer, then adjust the exponent of the result.
|
|
if ( s == 0 || s == 1 / 0 ) {
|
|
n = coeffToString(c);
|
|
if ( ( n.length + e ) % 2 == 0 ) n += '0';
|
|
s = Math.sqrt(n);
|
|
e = bitFloor( ( e + 1 ) / 2 ) - ( e < 0 || e % 2 );
|
|
|
|
if ( s == 1 / 0 ) {
|
|
n = '1e' + e;
|
|
} else {
|
|
n = s.toExponential();
|
|
n = n.slice( 0, n.indexOf('e') + 1 ) + e;
|
|
}
|
|
|
|
r = new BigNumber(n);
|
|
} else {
|
|
r = new BigNumber( s + '' );
|
|
}
|
|
|
|
// Check for zero.
|
|
// r could be zero if MIN_EXP is changed after the this value was created.
|
|
// This would cause a division by zero (x/t) and hence Infinity below, which would cause
|
|
// coeffToString to throw.
|
|
if ( r.c[0] ) {
|
|
e = r.e;
|
|
s = e + dp;
|
|
if ( s < 3 ) s = 0;
|
|
|
|
// Newton-Raphson iteration.
|
|
for ( ; ; ) {
|
|
t = r;
|
|
r = half.times( t.plus( div( x, t, dp, 1 ) ) );
|
|
|
|
if ( coeffToString( t.c ).slice( 0, s ) === ( n =
|
|
coeffToString( r.c ) ).slice( 0, s ) ) {
|
|
|
|
// The exponent of r may here be one less than the final result exponent,
|
|
// e.g 0.0009999 (e-4) --> 0.001 (e-3), so adjust s so the rounding digits
|
|
// are indexed correctly.
|
|
if ( r.e < e ) --s;
|
|
n = n.slice( s - 3, s + 1 );
|
|
|
|
// The 4th rounding digit may be in error by -1 so if the 4 rounding digits
|
|
// are 9999 or 4999 (i.e. approaching a rounding boundary) continue the
|
|
// iteration.
|
|
if ( n == '9999' || !rep && n == '4999' ) {
|
|
|
|
// On the first iteration only, check to see if rounding up gives the
|
|
// exact result as the nines may infinitely repeat.
|
|
if ( !rep ) {
|
|
round( t, t.e + DECIMAL_PLACES + 2, 0 );
|
|
|
|
if ( t.times(t).eq(x) ) {
|
|
r = t;
|
|
break;
|
|
}
|
|
}
|
|
|
|
dp += 4;
|
|
s += 4;
|
|
rep = 1;
|
|
} else {
|
|
|
|
// If rounding digits are null, 0{0,4} or 50{0,3}, check for exact
|
|
// result. If not, then there are further digits and m will be truthy.
|
|
if ( !+n || !+n.slice(1) && n.charAt(0) == '5' ) {
|
|
|
|
// Truncate to the first rounding digit.
|
|
round( r, r.e + DECIMAL_PLACES + 2, 1 );
|
|
m = !r.times(r).eq(x);
|
|
}
|
|
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
return round( r, r.e + DECIMAL_PLACES + 1, ROUNDING_MODE, m );
|
|
};
|
|
|
|
|
|
/*
|
|
* n * 0 = 0
|
|
* n * N = N
|
|
* n * I = I
|
|
* 0 * n = 0
|
|
* 0 * 0 = 0
|
|
* 0 * N = N
|
|
* 0 * I = N
|
|
* N * n = N
|
|
* N * 0 = N
|
|
* N * N = N
|
|
* N * I = N
|
|
* I * n = I
|
|
* I * 0 = N
|
|
* I * N = N
|
|
* I * I = I
|
|
*
|
|
* Return a new BigNumber whose value is the value of this BigNumber times the value of
|
|
* BigNumber(y, b).
|
|
*/
|
|
P.times = P.mul = function ( y, b ) {
|
|
var c, e, i, j, k, m, xcL, xlo, xhi, ycL, ylo, yhi, zc,
|
|
base, sqrtBase,
|
|
x = this,
|
|
xc = x.c,
|
|
yc = ( id = 17, y = new BigNumber( y, b ) ).c;
|
|
|
|
// Either NaN, ±Infinity or ±0?
|
|
if ( !xc || !yc || !xc[0] || !yc[0] ) {
|
|
|
|
// Return NaN if either is NaN, or one is 0 and the other is Infinity.
|
|
if ( !x.s || !y.s || xc && !xc[0] && !yc || yc && !yc[0] && !xc ) {
|
|
y.c = y.e = y.s = null;
|
|
} else {
|
|
y.s *= x.s;
|
|
|
|
// Return ±Infinity if either is ±Infinity.
|
|
if ( !xc || !yc ) {
|
|
y.c = y.e = null;
|
|
|
|
// Return ±0 if either is ±0.
|
|
} else {
|
|
y.c = [0];
|
|
y.e = 0;
|
|
}
|
|
}
|
|
|
|
return y;
|
|
}
|
|
|
|
e = bitFloor( x.e / LOG_BASE ) + bitFloor( y.e / LOG_BASE );
|
|
y.s *= x.s;
|
|
xcL = xc.length;
|
|
ycL = yc.length;
|
|
|
|
// Ensure xc points to longer array and xcL to its length.
|
|
if ( xcL < ycL ) zc = xc, xc = yc, yc = zc, i = xcL, xcL = ycL, ycL = i;
|
|
|
|
// Initialise the result array with zeros.
|
|
for ( i = xcL + ycL, zc = []; i--; zc.push(0) );
|
|
|
|
base = BASE;
|
|
sqrtBase = SQRT_BASE;
|
|
|
|
for ( i = ycL; --i >= 0; ) {
|
|
c = 0;
|
|
ylo = yc[i] % sqrtBase;
|
|
yhi = yc[i] / sqrtBase | 0;
|
|
|
|
for ( k = xcL, j = i + k; j > i; ) {
|
|
xlo = xc[--k] % sqrtBase;
|
|
xhi = xc[k] / sqrtBase | 0;
|
|
m = yhi * xlo + xhi * ylo;
|
|
xlo = ylo * xlo + ( ( m % sqrtBase ) * sqrtBase ) + zc[j] + c;
|
|
c = ( xlo / base | 0 ) + ( m / sqrtBase | 0 ) + yhi * xhi;
|
|
zc[j--] = xlo % base;
|
|
}
|
|
|
|
zc[j] = c;
|
|
}
|
|
|
|
if (c) {
|
|
++e;
|
|
} else {
|
|
zc.shift();
|
|
}
|
|
|
|
return normalise( y, zc, e );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber rounded to a maximum of
|
|
* sd significant digits using rounding mode rm, or ROUNDING_MODE if rm is omitted.
|
|
*
|
|
* [sd] {number} Significant digits. Integer, 1 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'toDigits() precision out of range: {sd}'
|
|
* 'toDigits() precision not an integer: {sd}'
|
|
* 'toDigits() rounding mode not an integer: {rm}'
|
|
* 'toDigits() rounding mode out of range: {rm}'
|
|
*/
|
|
P.toDigits = function ( sd, rm ) {
|
|
var n = new BigNumber(this);
|
|
sd = sd == null || !isValidInt( sd, 1, MAX, 18, 'precision' ) ? null : sd | 0;
|
|
rm = rm == null || !isValidInt( rm, 0, 8, 18, roundingMode ) ? ROUNDING_MODE : rm | 0;
|
|
return sd ? round( n, sd, rm ) : n;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of this BigNumber in exponential notation and
|
|
* rounded using ROUNDING_MODE to dp fixed decimal places.
|
|
*
|
|
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'toExponential() decimal places not an integer: {dp}'
|
|
* 'toExponential() decimal places out of range: {dp}'
|
|
* 'toExponential() rounding mode not an integer: {rm}'
|
|
* 'toExponential() rounding mode out of range: {rm}'
|
|
*/
|
|
P.toExponential = function ( dp, rm ) {
|
|
return format( this,
|
|
dp != null && isValidInt( dp, 0, MAX, 19 ) ? ~~dp + 1 : null, rm, 19 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of this BigNumber in fixed-point notation rounding
|
|
* to dp fixed decimal places using rounding mode rm, or ROUNDING_MODE if rm is omitted.
|
|
*
|
|
* Note: as with JavaScript's number type, (-0).toFixed(0) is '0',
|
|
* but e.g. (-0.00001).toFixed(0) is '-0'.
|
|
*
|
|
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'toFixed() decimal places not an integer: {dp}'
|
|
* 'toFixed() decimal places out of range: {dp}'
|
|
* 'toFixed() rounding mode not an integer: {rm}'
|
|
* 'toFixed() rounding mode out of range: {rm}'
|
|
*/
|
|
P.toFixed = function ( dp, rm ) {
|
|
return format( this, dp != null && isValidInt( dp, 0, MAX, 20 )
|
|
? ~~dp + this.e + 1 : null, rm, 20 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of this BigNumber in fixed-point notation rounded
|
|
* using rm or ROUNDING_MODE to dp decimal places, and formatted according to the properties
|
|
* of the FORMAT object (see BigNumber.config).
|
|
*
|
|
* FORMAT = {
|
|
* decimalSeparator : '.',
|
|
* groupSeparator : ',',
|
|
* groupSize : 3,
|
|
* secondaryGroupSize : 0,
|
|
* fractionGroupSeparator : '\xA0', // non-breaking space
|
|
* fractionGroupSize : 0
|
|
* };
|
|
*
|
|
* [dp] {number} Decimal places. Integer, 0 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'toFormat() decimal places not an integer: {dp}'
|
|
* 'toFormat() decimal places out of range: {dp}'
|
|
* 'toFormat() rounding mode not an integer: {rm}'
|
|
* 'toFormat() rounding mode out of range: {rm}'
|
|
*/
|
|
P.toFormat = function ( dp, rm ) {
|
|
var str = format( this, dp != null && isValidInt( dp, 0, MAX, 21 )
|
|
? ~~dp + this.e + 1 : null, rm, 21 );
|
|
|
|
if ( this.c ) {
|
|
var i,
|
|
arr = str.split('.'),
|
|
g1 = +FORMAT.groupSize,
|
|
g2 = +FORMAT.secondaryGroupSize,
|
|
groupSeparator = FORMAT.groupSeparator,
|
|
intPart = arr[0],
|
|
fractionPart = arr[1],
|
|
isNeg = this.s < 0,
|
|
intDigits = isNeg ? intPart.slice(1) : intPart,
|
|
len = intDigits.length;
|
|
|
|
if (g2) i = g1, g1 = g2, g2 = i, len -= i;
|
|
|
|
if ( g1 > 0 && len > 0 ) {
|
|
i = len % g1 || g1;
|
|
intPart = intDigits.substr( 0, i );
|
|
|
|
for ( ; i < len; i += g1 ) {
|
|
intPart += groupSeparator + intDigits.substr( i, g1 );
|
|
}
|
|
|
|
if ( g2 > 0 ) intPart += groupSeparator + intDigits.slice(i);
|
|
if (isNeg) intPart = '-' + intPart;
|
|
}
|
|
|
|
str = fractionPart
|
|
? intPart + FORMAT.decimalSeparator + ( ( g2 = +FORMAT.fractionGroupSize )
|
|
? fractionPart.replace( new RegExp( '\\d{' + g2 + '}\\B', 'g' ),
|
|
'$&' + FORMAT.fractionGroupSeparator )
|
|
: fractionPart )
|
|
: intPart;
|
|
}
|
|
|
|
return str;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string array representing the value of this BigNumber as a simple fraction with
|
|
* an integer numerator and an integer denominator. The denominator will be a positive
|
|
* non-zero value less than or equal to the specified maximum denominator. If a maximum
|
|
* denominator is not specified, the denominator will be the lowest value necessary to
|
|
* represent the number exactly.
|
|
*
|
|
* [md] {number|string|BigNumber} Integer >= 1 and < Infinity. The maximum denominator.
|
|
*
|
|
* 'toFraction() max denominator not an integer: {md}'
|
|
* 'toFraction() max denominator out of range: {md}'
|
|
*/
|
|
P.toFraction = function (md) {
|
|
var arr, d0, d2, e, exp, n, n0, q, s,
|
|
k = ERRORS,
|
|
x = this,
|
|
xc = x.c,
|
|
d = new BigNumber(ONE),
|
|
n1 = d0 = new BigNumber(ONE),
|
|
d1 = n0 = new BigNumber(ONE);
|
|
|
|
if ( md != null ) {
|
|
ERRORS = false;
|
|
n = new BigNumber(md);
|
|
ERRORS = k;
|
|
|
|
if ( !( k = n.isInt() ) || n.lt(ONE) ) {
|
|
|
|
if (ERRORS) {
|
|
raise( 22,
|
|
'max denominator ' + ( k ? 'out of range' : 'not an integer' ), md );
|
|
}
|
|
|
|
// ERRORS is false:
|
|
// If md is a finite non-integer >= 1, round it to an integer and use it.
|
|
md = !k && n.c && round( n, n.e + 1, 1 ).gte(ONE) ? n : null;
|
|
}
|
|
}
|
|
|
|
if ( !xc ) return x.toString();
|
|
s = coeffToString(xc);
|
|
|
|
// Determine initial denominator.
|
|
// d is a power of 10 and the minimum max denominator that specifies the value exactly.
|
|
e = d.e = s.length - x.e - 1;
|
|
d.c[0] = POWS_TEN[ ( exp = e % LOG_BASE ) < 0 ? LOG_BASE + exp : exp ];
|
|
md = !md || n.cmp(d) > 0 ? ( e > 0 ? d : n1 ) : n;
|
|
|
|
exp = MAX_EXP;
|
|
MAX_EXP = 1 / 0;
|
|
n = new BigNumber(s);
|
|
|
|
// n0 = d1 = 0
|
|
n0.c[0] = 0;
|
|
|
|
for ( ; ; ) {
|
|
q = div( n, d, 0, 1 );
|
|
d2 = d0.plus( q.times(d1) );
|
|
if ( d2.cmp(md) == 1 ) break;
|
|
d0 = d1;
|
|
d1 = d2;
|
|
n1 = n0.plus( q.times( d2 = n1 ) );
|
|
n0 = d2;
|
|
d = n.minus( q.times( d2 = d ) );
|
|
n = d2;
|
|
}
|
|
|
|
d2 = div( md.minus(d0), d1, 0, 1 );
|
|
n0 = n0.plus( d2.times(n1) );
|
|
d0 = d0.plus( d2.times(d1) );
|
|
n0.s = n1.s = x.s;
|
|
e *= 2;
|
|
|
|
// Determine which fraction is closer to x, n0/d0 or n1/d1
|
|
arr = div( n1, d1, e, ROUNDING_MODE ).minus(x).abs().cmp(
|
|
div( n0, d0, e, ROUNDING_MODE ).minus(x).abs() ) < 1
|
|
? [ n1.toString(), d1.toString() ]
|
|
: [ n0.toString(), d0.toString() ];
|
|
|
|
MAX_EXP = exp;
|
|
return arr;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return the value of this BigNumber converted to a number primitive.
|
|
*/
|
|
P.toNumber = function () {
|
|
var x = this;
|
|
|
|
// Ensure zero has correct sign.
|
|
return +x || ( x.s ? x.s * 0 : NaN );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a BigNumber whose value is the value of this BigNumber raised to the power n.
|
|
* If n is negative round according to DECIMAL_PLACES and ROUNDING_MODE.
|
|
* If POW_PRECISION is not 0, round to POW_PRECISION using ROUNDING_MODE.
|
|
*
|
|
* n {number} Integer, -9007199254740992 to 9007199254740992 inclusive.
|
|
* (Performs 54 loop iterations for n of 9007199254740992.)
|
|
*
|
|
* 'pow() exponent not an integer: {n}'
|
|
* 'pow() exponent out of range: {n}'
|
|
*/
|
|
P.toPower = P.pow = function (n) {
|
|
var k, y,
|
|
i = mathfloor( n < 0 ? -n : +n ),
|
|
x = this;
|
|
|
|
// Pass ±Infinity to Math.pow if exponent is out of range.
|
|
if ( !isValidInt( n, -MAX_SAFE_INTEGER, MAX_SAFE_INTEGER, 23, 'exponent' ) &&
|
|
( !isFinite(n) || i > MAX_SAFE_INTEGER && ( n /= 0 ) ||
|
|
parseFloat(n) != n && !( n = NaN ) ) ) {
|
|
return new BigNumber( Math.pow( +x, n ) );
|
|
}
|
|
|
|
// Truncating each coefficient array to a length of k after each multiplication equates
|
|
// to truncating significant digits to POW_PRECISION + [28, 41], i.e. there will be a
|
|
// minimum of 28 guard digits retained. (Using + 1.5 would give [9, 21] guard digits.)
|
|
k = POW_PRECISION ? mathceil( POW_PRECISION / LOG_BASE + 2 ) : 0;
|
|
y = new BigNumber(ONE);
|
|
|
|
for ( ; ; ) {
|
|
|
|
if ( i % 2 ) {
|
|
y = y.times(x);
|
|
if ( !y.c ) break;
|
|
if ( k && y.c.length > k ) y.c.length = k;
|
|
}
|
|
|
|
i = mathfloor( i / 2 );
|
|
if ( !i ) break;
|
|
|
|
x = x.times(x);
|
|
if ( k && x.c && x.c.length > k ) x.c.length = k;
|
|
}
|
|
|
|
if ( n < 0 ) y = ONE.div(y);
|
|
return k ? round( y, POW_PRECISION, ROUNDING_MODE ) : y;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of this BigNumber rounded to sd significant digits
|
|
* using rounding mode rm or ROUNDING_MODE. If sd is less than the number of digits
|
|
* necessary to represent the integer part of the value in fixed-point notation, then use
|
|
* exponential notation.
|
|
*
|
|
* [sd] {number} Significant digits. Integer, 1 to MAX inclusive.
|
|
* [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.
|
|
*
|
|
* 'toPrecision() precision not an integer: {sd}'
|
|
* 'toPrecision() precision out of range: {sd}'
|
|
* 'toPrecision() rounding mode not an integer: {rm}'
|
|
* 'toPrecision() rounding mode out of range: {rm}'
|
|
*/
|
|
P.toPrecision = function ( sd, rm ) {
|
|
return format( this, sd != null && isValidInt( sd, 1, MAX, 24, 'precision' )
|
|
? sd | 0 : null, rm, 24 );
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a string representing the value of this BigNumber in base b, or base 10 if b is
|
|
* omitted. If a base is specified, including base 10, round according to DECIMAL_PLACES and
|
|
* ROUNDING_MODE. If a base is not specified, and this BigNumber has a positive exponent
|
|
* that is equal to or greater than TO_EXP_POS, or a negative exponent equal to or less than
|
|
* TO_EXP_NEG, return exponential notation.
|
|
*
|
|
* [b] {number} Integer, 2 to 64 inclusive.
|
|
*
|
|
* 'toString() base not an integer: {b}'
|
|
* 'toString() base out of range: {b}'
|
|
*/
|
|
P.toString = function (b) {
|
|
var str,
|
|
n = this,
|
|
s = n.s,
|
|
e = n.e;
|
|
|
|
// Infinity or NaN?
|
|
if ( e === null ) {
|
|
|
|
if (s) {
|
|
str = 'Infinity';
|
|
if ( s < 0 ) str = '-' + str;
|
|
} else {
|
|
str = 'NaN';
|
|
}
|
|
} else {
|
|
str = coeffToString( n.c );
|
|
|
|
if ( b == null || !isValidInt( b, 2, 64, 25, 'base' ) ) {
|
|
str = e <= TO_EXP_NEG || e >= TO_EXP_POS
|
|
? toExponential( str, e )
|
|
: toFixedPoint( str, e );
|
|
} else {
|
|
str = convertBase( toFixedPoint( str, e ), b | 0, 10, s );
|
|
}
|
|
|
|
if ( s < 0 && n.c[0] ) str = '-' + str;
|
|
}
|
|
|
|
return str;
|
|
};
|
|
|
|
|
|
/*
|
|
* Return a new BigNumber whose value is the value of this BigNumber truncated to a whole
|
|
* number.
|
|
*/
|
|
P.truncated = P.trunc = function () {
|
|
return round( new BigNumber(this), this.e + 1, 1 );
|
|
};
|
|
|
|
|
|
|
|
/*
|
|
* Return as toString, but do not accept a base argument.
|
|
*/
|
|
P.valueOf = P.toJSON = function () {
|
|
return this.toString();
|
|
};
|
|
|
|
|
|
// Aliases for BigDecimal methods.
|
|
//P.add = P.plus; // P.add included above
|
|
//P.subtract = P.minus; // P.sub included above
|
|
//P.multiply = P.times; // P.mul included above
|
|
//P.divide = P.div;
|
|
//P.remainder = P.mod;
|
|
//P.compareTo = P.cmp;
|
|
//P.negate = P.neg;
|
|
|
|
|
|
if ( configObj != null ) BigNumber.config(configObj);
|
|
|
|
return BigNumber;
|
|
}
|
|
|
|
|
|
// PRIVATE HELPER FUNCTIONS
|
|
|
|
|
|
function bitFloor(n) {
|
|
var i = n | 0;
|
|
return n > 0 || n === i ? i : i - 1;
|
|
}
|
|
|
|
|
|
// Return a coefficient array as a string of base 10 digits.
|
|
function coeffToString(a) {
|
|
var s, z,
|
|
i = 1,
|
|
j = a.length,
|
|
r = a[0] + '';
|
|
|
|
for ( ; i < j; ) {
|
|
s = a[i++] + '';
|
|
z = LOG_BASE - s.length;
|
|
for ( ; z--; s = '0' + s );
|
|
r += s;
|
|
}
|
|
|
|
// Determine trailing zeros.
|
|
for ( j = r.length; r.charCodeAt(--j) === 48; );
|
|
return r.slice( 0, j + 1 || 1 );
|
|
}
|
|
|
|
|
|
// Compare the value of BigNumbers x and y.
|
|
function compare( x, y ) {
|
|
var a, b,
|
|
xc = x.c,
|
|
yc = y.c,
|
|
i = x.s,
|
|
j = y.s,
|
|
k = x.e,
|
|
l = y.e;
|
|
|
|
// Either NaN?
|
|
if ( !i || !j ) return null;
|
|
|
|
a = xc && !xc[0];
|
|
b = yc && !yc[0];
|
|
|
|
// Either zero?
|
|
if ( a || b ) return a ? b ? 0 : -j : i;
|
|
|
|
// Signs differ?
|
|
if ( i != j ) return i;
|
|
|
|
a = i < 0;
|
|
b = k == l;
|
|
|
|
// Either Infinity?
|
|
if ( !xc || !yc ) return b ? 0 : !xc ^ a ? 1 : -1;
|
|
|
|
// Compare exponents.
|
|
if ( !b ) return k > l ^ a ? 1 : -1;
|
|
|
|
j = ( k = xc.length ) < ( l = yc.length ) ? k : l;
|
|
|
|
// Compare digit by digit.
|
|
for ( i = 0; i < j; i++ ) if ( xc[i] != yc[i] ) return xc[i] > yc[i] ^ a ? 1 : -1;
|
|
|
|
// Compare lengths.
|
|
return k == l ? 0 : k > l ^ a ? 1 : -1;
|
|
}
|
|
|
|
|
|
/*
|
|
* Return true if n is a valid number in range, otherwise false.
|
|
* Use for argument validation when ERRORS is false.
|
|
* Note: parseInt('1e+1') == 1 but parseFloat('1e+1') == 10.
|
|
*/
|
|
function intValidatorNoErrors( n, min, max ) {
|
|
return ( n = truncate(n) ) >= min && n <= max;
|
|
}
|
|
|
|
|
|
function isArray(obj) {
|
|
return Object.prototype.toString.call(obj) == '[object Array]';
|
|
}
|
|
|
|
|
|
/*
|
|
* Convert string of baseIn to an array of numbers of baseOut.
|
|
* Eg. convertBase('255', 10, 16) returns [15, 15].
|
|
* Eg. convertBase('ff', 16, 10) returns [2, 5, 5].
|
|
*/
|
|
function toBaseOut( str, baseIn, baseOut ) {
|
|
var j,
|
|
arr = [0],
|
|
arrL,
|
|
i = 0,
|
|
len = str.length;
|
|
|
|
for ( ; i < len; ) {
|
|
for ( arrL = arr.length; arrL--; arr[arrL] *= baseIn );
|
|
arr[ j = 0 ] += ALPHABET.indexOf( str.charAt( i++ ) );
|
|
|
|
for ( ; j < arr.length; j++ ) {
|
|
|
|
if ( arr[j] > baseOut - 1 ) {
|
|
if ( arr[j + 1] == null ) arr[j + 1] = 0;
|
|
arr[j + 1] += arr[j] / baseOut | 0;
|
|
arr[j] %= baseOut;
|
|
}
|
|
}
|
|
}
|
|
|
|
return arr.reverse();
|
|
}
|
|
|
|
|
|
function toExponential( str, e ) {
|
|
return ( str.length > 1 ? str.charAt(0) + '.' + str.slice(1) : str ) +
|
|
( e < 0 ? 'e' : 'e+' ) + e;
|
|
}
|
|
|
|
|
|
function toFixedPoint( str, e ) {
|
|
var len, z;
|
|
|
|
// Negative exponent?
|
|
if ( e < 0 ) {
|
|
|
|
// Prepend zeros.
|
|
for ( z = '0.'; ++e; z += '0' );
|
|
str = z + str;
|
|
|
|
// Positive exponent
|
|
} else {
|
|
len = str.length;
|
|
|
|
// Append zeros.
|
|
if ( ++e > len ) {
|
|
for ( z = '0', e -= len; --e; z += '0' );
|
|
str += z;
|
|
} else if ( e < len ) {
|
|
str = str.slice( 0, e ) + '.' + str.slice(e);
|
|
}
|
|
}
|
|
|
|
return str;
|
|
}
|
|
|
|
|
|
function truncate(n) {
|
|
n = parseFloat(n);
|
|
return n < 0 ? mathceil(n) : mathfloor(n);
|
|
}
|
|
|
|
|
|
// EXPORT
|
|
|
|
|
|
BigNumber = another();
|
|
|
|
// AMD.
|
|
if ( typeof define == 'function' && define.amd ) {
|
|
define( function () { return BigNumber; } );
|
|
|
|
// Node and other environments that support module.exports.
|
|
} else if ( typeof module != 'undefined' && module.exports ) {
|
|
module.exports = BigNumber;
|
|
if ( !crypto ) try { crypto = require('crypto'); } catch (e) {}
|
|
|
|
// Browser.
|
|
} else {
|
|
global.BigNumber = BigNumber;
|
|
}
|
|
})(this);
|
|
|
|
},{"crypto":1}],"natspec":[function(require,module,exports){
|
|
/*
|
|
This file is part of natspec.js.
|
|
|
|
natspec.js is free software: you can redistribute it and/or modify
|
|
it under the terms of the GNU Lesser General Public License as published by
|
|
the Free Software Foundation, either version 3 of the License, or
|
|
(at your option) any later version.
|
|
|
|
natspec.js is distributed in the hope that it will be useful,
|
|
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
GNU Lesser General Public License for more details.
|
|
|
|
You should have received a copy of the GNU Lesser General Public License
|
|
along with natspec.js. If not, see <http://www.gnu.org/licenses/>.
|
|
*/
|
|
/** @file natspec.js
|
|
* @authors:
|
|
* Marek Kotewicz <marek@ethdev.com>
|
|
* @date 2015
|
|
*/
|
|
|
|
var abi = require('./node_modules/ethereum.js/lib/abi.js');
|
|
|
|
/**
|
|
* This object should be used to evaluate natspec expression
|
|
* It has one method evaluateExpression which shoul be used
|
|
*/
|
|
var natspec = (function () {
|
|
/// Helper method
|
|
/// Should be called to copy values from object to global context
|
|
var copyToContext = function (obj, context) {
|
|
Object.keys(obj).forEach(function (key) {
|
|
context[key] = obj[key];
|
|
});
|
|
}
|
|
|
|
/// generate codes, which will be evaluated
|
|
var generateCode = function (obj) {
|
|
return Object.keys(obj).reduce(function (acc, key) {
|
|
return acc + "var " + key + " = context['" + key + "'];\n";
|
|
}, "");
|
|
};
|
|
|
|
/// Helper method
|
|
/// Should be called to get method with given name from the abi
|
|
/// @param contract's abi
|
|
/// @param name of the method that we are looking for
|
|
var getMethodWithName = function(abi, name) {
|
|
return abi.filter(function (method) {
|
|
return method.name === name;
|
|
})[0];
|
|
};
|
|
|
|
/// Function called to get all contract method input variables
|
|
/// @returns hashmap with all contract's method input variables
|
|
var getMethodInputParams = function (method, transaction) {
|
|
// do it with output formatter (cause we have to decode)
|
|
var params = abi.formatOutput(method.inputs, '0x' + transaction.params[0].data.slice(10));
|
|
|
|
return method.inputs.reduce(function (acc, current, index) {
|
|
acc[current.name] = params[index];
|
|
return acc;
|
|
}, {});
|
|
};
|
|
|
|
/// Should be called to evaluate expression
|
|
var mapExpressionsToEvaluate = function (expression, cb) {
|
|
var evaluatedExpression = "";
|
|
|
|
// match everything in `` quotes
|
|
var pattern = /\`(?:\\.|[^`\\])*\`/gim
|
|
var match;
|
|
var lastIndex = 0;
|
|
while ((match = pattern.exec(expression)) !== null) {
|
|
var startIndex = pattern.lastIndex - match[0].length;
|
|
var toEval = match[0].slice(1, match[0].length - 1);
|
|
evaluatedExpression += expression.slice(lastIndex, startIndex);
|
|
var evaluatedPart = cb(toEval);
|
|
evaluatedExpression += evaluatedPart;
|
|
lastIndex = pattern.lastIndex;
|
|
}
|
|
|
|
evaluatedExpression += expression.slice(lastIndex);
|
|
|
|
return evaluatedExpression;
|
|
};
|
|
|
|
/// Should be called to evaluate single expression
|
|
/// Is internally using javascript's 'eval' method
|
|
/// @param expression which should be evaluated
|
|
/// @param [call] object containing contract abi, transaction, called method
|
|
/// TODO: separate evaluation from getting input params, so as not to spoil 'evaluateExpression' function
|
|
var evaluateExpression = function (expression, call) {
|
|
//var self = this;
|
|
var context = {};
|
|
|
|
if (!!call) {
|
|
try {
|
|
var method = getMethodWithName(call.abi, call.method);
|
|
var params = getMethodInputParams(method, call.transaction);
|
|
copyToContext(params, context);
|
|
}
|
|
catch (err) {
|
|
return "Natspec evaluation failed, wrong input params";
|
|
}
|
|
}
|
|
|
|
var code = generateCode(context);
|
|
|
|
var evaluatedExpression = mapExpressionsToEvaluate(expression, function (toEval) {
|
|
try {
|
|
var fn = new Function("context", code + "return " + toEval + ";");
|
|
return fn(context).toString();
|
|
}
|
|
catch (err) {
|
|
return 'undefined';
|
|
}
|
|
});
|
|
|
|
return evaluatedExpression;
|
|
};
|
|
|
|
return {
|
|
evaluateExpression: evaluateExpression
|
|
};
|
|
|
|
})();
|
|
|
|
module.exports = natspec;
|
|
|
|
|
|
},{"./node_modules/ethereum.js/lib/abi.js":3}]},{},[]);
|