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authorJeffrey Wilcke <jeffrey@ethereum.org>2015-03-13 23:47:16 +0800
committerJeffrey Wilcke <jeffrey@ethereum.org>2015-03-13 23:47:16 +0800
commita76d55c83ac6f94caee1c8dd4d0a9cf8bd1478fd (patch)
treec953bdf061a507a06384d758646d3fd38de28c4f
parentb663e8b29a7451a79b909c017f8a244d23c8fef4 (diff)
parent4342fe0f221505d4e511a387a6da4a233fa30bca (diff)
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Merge pull request #467 from ethersphere/frontier/natspec
NatSpec integration
Diffstat
-rw-r--r--ethutil/natspec/natspec_js.go3520
-rw-r--r--ethutil/natspec/natspec_test.go22
2 files changed, 13 insertions, 3529 deletions
diff --git a/ethutil/natspec/natspec_js.go b/ethutil/natspec/natspec_js.go
index 7acaaee4f..96d8204fb 100644
--- a/ethutil/natspec/natspec_js.go
+++ b/ethutil/natspec/natspec_js.go
@@ -1,3520 +1,4 @@
package natspec
-const natspecJS = `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){
-
-},{}],2:[function(require,module,exports){
-// shim for using process in browser
-
-var process = module.exports = {};
-var queue = [];
-var draining = false;
-
-function drainQueue() {
- if (draining) {
- return;
- }
- draining = true;
- var currentQueue;
- var len = queue.length;
- while(len) {
- currentQueue = queue;
- queue = [];
- var i = -1;
- while (++i < len) {
- currentQueue[i]();
- }
- len = queue.length;
- }
- draining = false;
-}
-process.nextTick = function (fun) {
- queue.push(fun);
- if (!draining) {
- setTimeout(drainQueue, 0);
- }
-};
-
-process.title = 'browser';
-process.browser = true;
-process.env = {};
-process.argv = [];
-process.version = ''; // empty string to avoid regexp issues
-
-function noop() {}
-
-process.on = noop;
-process.addListener = noop;
-process.once = noop;
-process.off = noop;
-process.removeListener = noop;
-process.removeAllListeners = noop;
-process.emit = noop;
-
-process.binding = function (name) {
- throw new Error('process.binding is not supported');
-};
-
-// TODO(shtylman)
-process.cwd = function () { return '/' };
-process.chdir = function (dir) {
- throw new Error('process.chdir is not supported');
-};
-process.umask = function() { return 0; };
-
-},{}],3:[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 abi.js
- * @authors:
- * Marek Kotewicz <marek@ethdev.com>
- * Gav Wood <g@ethdev.com>
- * @date 2014
- */
-
-var utils = require('./utils');
-var types = require('./types');
-var c = require('./const');
-var f = require('./formatters');
-
-var displayTypeError = function (type) {
- console.error('parser does not support type: ' + type);
-};
-
-/// This method should be called if we want to check if givent type is an array type
-/// @returns true if it is, otherwise false
-var arrayType = function (type) {
- return type.slice(-2) === '[]';
-};
-
-var dynamicTypeBytes = function (type, value) {
- // TODO: decide what to do with array of strings
- if (arrayType(type) || type === 'string') // only string itself that is dynamic; stringX is static length.
- return f.formatInputInt(value.length);
- return "";
-};
-
-var inputTypes = types.inputTypes();
-
-/// Formats input params to bytes
-/// @param abi contract method inputs
-/// @param array of params that will be formatted to bytes
-/// @returns bytes representation of input params
-var formatInput = function (inputs, params) {
- var bytes = "";
- var toAppendConstant = "";
- var toAppendArrayContent = "";
-
- /// first we iterate in search for dynamic
- inputs.forEach(function (input, index) {
- bytes += dynamicTypeBytes(input.type, params[index]);
- });
-
- inputs.forEach(function (input, i) {
- /*jshint maxcomplexity:5 */
- var typeMatch = false;
- for (var j = 0; j < inputTypes.length && !typeMatch; j++) {
- typeMatch = inputTypes[j].type(inputs[i].type, params[i]);
- }
- if (!typeMatch) {
- displayTypeError(inputs[i].type);
- }
-
- var formatter = inputTypes[j - 1].format;
-
- if (arrayType(inputs[i].type))
- toAppendArrayContent += params[i].reduce(function (acc, curr) {
- return acc + formatter(curr);
- }, "");
- else if (inputs[i].type === 'string')
- toAppendArrayContent += formatter(params[i]);
- else
- toAppendConstant += formatter(params[i]);
- });
-
- bytes += toAppendConstant + toAppendArrayContent;
-
- return bytes;
-};
-
-var dynamicBytesLength = function (type) {
- if (arrayType(type) || type === 'string') // only string itself that is dynamic; stringX is static length.
- return c.ETH_PADDING * 2;
- return 0;
-};
-
-var outputTypes = types.outputTypes();
-
-/// Formats output bytes back to param list
-/// @param contract abi method outputs
-/// @param bytes representtion of output
-/// @returns array of output params
-var formatOutput = function (outs, output) {
-
- output = output.slice(2);
- var result = [];
- var padding = c.ETH_PADDING * 2;
-
- var dynamicPartLength = outs.reduce(function (acc, curr) {
- return acc + dynamicBytesLength(curr.type);
- }, 0);
-
- var dynamicPart = output.slice(0, dynamicPartLength);
- output = output.slice(dynamicPartLength);
-
- outs.forEach(function (out, i) {
- /*jshint maxcomplexity:6 */
- var typeMatch = false;
- for (var j = 0; j < outputTypes.length && !typeMatch; j++) {
- typeMatch = outputTypes[j].type(outs[i].type);
- }
-
- if (!typeMatch) {
- displayTypeError(outs[i].type);
- }
-
- var formatter = outputTypes[j - 1].format;
- if (arrayType(outs[i].type)) {
- var size = f.formatOutputUInt(dynamicPart.slice(0, padding));
- dynamicPart = dynamicPart.slice(padding);
- var array = [];
- for (var k = 0; k < size; k++) {
- array.push(formatter(output.slice(0, padding)));
- output = output.slice(padding);
- }
- result.push(array);
- }
- else if (types.prefixedType('string')(outs[i].type)) {
- dynamicPart = dynamicPart.slice(padding);
- result.push(formatter(output.slice(0, padding)));
- output = output.slice(padding);
- } else {
- result.push(formatter(output.slice(0, padding)));
- output = output.slice(padding);
- }
- });
-
- return result;
-};
-
-/// @param json abi for contract
-/// @returns input parser object for given json abi
-/// TODO: refactor creating the parser, do not double logic from contract
-var inputParser = function (json) {
- var parser = {};
- json.forEach(function (method) {
- var displayName = utils.extractDisplayName(method.name);
- var typeName = utils.extractTypeName(method.name);
-
- var impl = function () {
- var params = Array.prototype.slice.call(arguments);
- return formatInput(method.inputs, params);
- };
-
- if (parser[displayName] === undefined) {
- parser[displayName] = impl;
- }
-
- parser[displayName][typeName] = impl;
- });
-
- return parser;
-};
-
-/// @param json abi for contract
-/// @returns output parser for given json abi
-var outputParser = function (json) {
- var parser = {};
- json.forEach(function (method) {
-
- var displayName = utils.extractDisplayName(method.name);
- var typeName = utils.extractTypeName(method.name);
-
- var impl = function (output) {
- return formatOutput(method.outputs, output);
- };
-
- if (parser[displayName] === undefined) {
- parser[displayName] = impl;
- }
-
- parser[displayName][typeName] = impl;
- });
-
- return parser;
-};
-
-module.exports = {
- inputParser: inputParser,
- outputParser: outputParser,
- formatInput: formatInput,
- formatOutput: formatOutput
-};
-
-},{"./const":4,"./formatters":5,"./types":6,"./utils":7}],4:[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 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
-}
-
-var ETH_UNITS = [
- 'wei',
- 'Kwei',
- 'Mwei',
- 'Gwei',
- '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();
-
- 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 backtick
- 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}]},{},[]);
-`
+const natspecJS = `require=function t(e,n,r){function i(f,u){if(!n[f]){if(!e[f]){var s="function"==typeof require&&require;if(!u&&s)return s(f,!0);if(o)return o(f,!0);var c=new Error("Cannot find module '"+f+"'");throw c.code="MODULE_NOT_FOUND",c}var a=n[f]={exports:{}};e[f][0].call(a.exports,function(t){var n=e[f][1][t];return i(n?n:t)},a,a.exports,t,e,n,r)}return n[f].exports}for(var o="function"==typeof require&&require,f=0;f<r.length;f++)i(r[f]);return i}({1:[function(){},{}],2:[function(t,e){function n(){if(!f){f=!0;for(var t,e=o.length;e;){t=o,o=[];for(var n=-1;++n<e;)t[n]();e=o.length}f=!1}}function r(){}var i=e.exports={},o=[],f=!1;i.nextTick=function(t){o.push(t),f||setTimeout(n,0)},i.title="browser",i.browser=!0,i.env={},i.argv=[],i.version="",i.on=r,i.addListener=r,i.once=r,i.off=r,i.removeListener=r,i.removeAllListeners=r,i.emit=r,i.binding=function(){throw new Error("process.binding is not supported")},i.cwd=function(){return"/"},i.chdir=function(){throw new Error("process.chdir is not supported")},i.umask=function(){return 0}},{}],3:[function(t,e){var n=t("./utils"),r=t("./types"),i=t("./const"),o=t("./formatters"),f=function(t){console.error("parser does not support type: "+t)},u=function(t){return"[]"===t.slice(-2)},s=function(t,e){return u(t)||"string"===t?o.formatInputInt(e.length):""},c=r.inputTypes(),a=function(t,e){var n="",r="",i="";return t.forEach(function(t,r){n+=s(t.type,e[r])}),t.forEach(function(n,o){for(var s=!1,a=0;a<c.length&&!s;a++)s=c[a].type(t[o].type,e[o]);s||f(t[o].type);var l=c[a-1].format;u(t[o].type)?i+=e[o].reduce(function(t,e){return t+l(e)},""):"string"===t[o].type?i+=l(e[o]):r+=l(e[o])}),n+=r+i},l=function(t){return u(t)||"string"===t?2*i.ETH_PADDING:0},p=r.outputTypes(),h=function(t,e){e=e.slice(2);var n=[],s=2*i.ETH_PADDING,c=t.reduce(function(t,e){return t+l(e.type)},0),a=e.slice(0,c);return e=e.slice(c),t.forEach(function(i,c){for(var l=!1,h=0;h<p.length&&!l;h++)l=p[h].type(t[c].type);l||f(t[c].type);var g=p[h-1].format;if(u(t[c].type)){var m=o.formatOutputUInt(a.slice(0,s));a=a.slice(s);for(var d=[],v=0;m>v;v++)d.push(g(e.slice(0,s))),e=e.slice(s);n.push(d)}else r.prefixedType("string")(t[c].type)?(a=a.slice(s),n.push(g(e.slice(0,s))),e=e.slice(s)):(n.push(g(e.slice(0,s))),e=e.slice(s))}),n},g=function(t){var e={};return t.forEach(function(t){var r=n.extractDisplayName(t.name),i=n.extractTypeName(t.name),o=function(){var e=Array.prototype.slice.call(arguments);return a(t.inputs,e)};void 0===e[r]&&(e[r]=o),e[r][i]=o}),e},m=function(t){var e={};return t.forEach(function(t){var r=n.extractDisplayName(t.name),i=n.extractTypeName(t.name),o=function(e){return h(t.outputs,e)};void 0===e[r]&&(e[r]=o),e[r][i]=o}),e};e.exports={inputParser:g,outputParser:m,formatInput:a,formatOutput:h}},{"./const":4,"./formatters":5,"./types":6,"./utils":7}],4:[function(t,e){(function(n){if("build"!==n.env.NODE_ENV)var r=t("bignumber.js");var 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t=function(t,e){Object.keys(t).forEach(function(n){e[n]=t[n]})},e=function(t){return Object.keys(t).reduce(function(t,e){return t+"var "+e+" = context['"+e+"'];\n"},"")},r=function(t,e){return t.filter(function(t){return t.name===e})[0]},i=function(t,e){var r=n.formatOutput(t.inputs,"0x"+e.params[0].data.slice(10));return t.inputs.reduce(function(t,e,n){return t[e.name]=r[n],t},{})},o=function(t,e){var n,r="",i=/\` + "`" + `(?:\\.|[^` + "`" + `\\])*\` + "`" + `/gim,o=0;try{for(;null!==(n=i.exec(t));){var f=i.lastIndex-n[0].length,u=n[0].slice(1,n[0].length-1);r+=t.slice(o,f);var s=e(u);r+=s,o=i.lastIndex}r+=t.slice(o)}catch(c){throw new Error("Natspec evaluation failed, wrong input params")}return r},f=function(n,f){var u={};if(f)try{var s=r(f.abi,f.method),c=i(s,f.transaction);t(c,u)}catch(a){throw new Error("Natspec evaluation failed, method does not exist")}var l=e(u),p=o(n,function(t){var e=new Function("context",l+"return "+t+";");return e(u).toString()});return p},u=function(t,e){try{return f(t,e)}catch(n){return n.message}};return{evaluateExpression:f,evaluateExpressionSafe:u}}();e.exports=r},{"./node_modules/ethereum.js/lib/abi.js":3}]},{},[]);
+//# sourceMappingURL=natspec.js.map`
diff --git a/ethutil/natspec/natspec_test.go b/ethutil/natspec/natspec_test.go
index 498f8d78e..330dc831d 100644
--- a/ethutil/natspec/natspec_test.go
+++ b/ethutil/natspec/natspec_test.go
@@ -69,22 +69,22 @@ func TestNotice(t *testing.T) {
}
// https://github.com/ethereum/natspec.js/issues/1
- // badDesc := "Will multiply `e` by 7 and return `a * 7`."
- // notice, err = ns.Notice(tx, abi, method, badDesc)
+ badDesc := "Will multiply `e` by 7 and return `a * 7`."
+ notice, err = ns.Notice(tx, abi, method, badDesc)
- // expected = "natspec.js error evaluating expression: wrong input param in expression ''"
+ expected = "natspec.js error evaluating expression: Error: Natspec evaluation failed, wrong input params"
- // if err == nil {
- // t.Errorf("expected error, got nothing (notice: '%v')", notice)
- // } else {
- // if err.Error() != expected {
- // t.Errorf("expected error '%s' got '%v' (notice: '%v')", expected, err, notice)
- // }
- // }
+ if err == nil {
+ t.Errorf("expected error, got nothing (notice: '%v')", notice)
+ } else {
+ if err.Error() != expected {
+ t.Errorf("expected error '%s' got '%v' (notice: '%v')", expected, err, notice)
+ }
+ }
notice, err = ns.Notice(tx, abi, "missing_method", desc)
- expected = "natspec.js error evaluating expression: wrong input params in expression 'Will multiply `a` by 7 and return `a * 7`.'"
+ expected = "natspec.js error evaluating expression: Error: Natspec evaluation failed, method does not exist"
if err == nil {
t.Errorf("expected error, got nothing (notice: '%v')", notice)
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-29 19:40:46 +0800