aboutsummaryrefslogtreecommitdiffstats
path: root/ethutil
diff options
context:
space:
mode:
Diffstat (limited to 'ethutil')
-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 i=["wei","Kwei","Mwei","Gwei","szabo","finney","ether","grand","Mether","Gether","Tether","Pether","Eether","Zether","Yether","Nether","Dether","Vether","Uether"];e.exports={ETH_PADDING:32,ETH_SIGNATURE_LENGTH:4,ETH_UNITS:i,ETH_BIGNUMBER_ROUNDING_MODE:{ROUNDING_MODE:r.ROUND_DOWN},ETH_POLLING_TIMEOUT:1e3}}).call(this,t("_process"))},{_process:2,"bignumber.js":8}],5:[function(t,e){(function(n){if("build"!==n.env.NODE_ENV)var r=t("bignumber.js");var i=t("./utils"),o=t("./const"),f=function(t,e,n){return new Array(e-t.length+1).join(n?n:"0")+t},u=function(t){var e=2*o.ETH_PADDING;return t instanceof r||"number"==typeof t?("number"==typeof t&&(t=new r(t)),r.config(o.ETH_BIGNUMBER_ROUNDING_MODE),t=t.round(),t.lessThan(0)&&(t=new r("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",16).plus(t).plus(1)),t=t.toString(16)):t=0===t.indexOf("0x")?t.substr(2):"string"==typeof t?u(new r(t)):(+t).toString(16),f(t,e)},s=function(t){return i.fromAscii(t,o.ETH_PADDING).substr(2)},c=function(t){return"000000000000000000000000000000000000000000000000000000000000000"+(t?"1":"0")},a=function(t){return u(new r(t).times(new r(2).pow(128)))},l=function(t){return"1"===new r(t.substr(0,1),16).toString(2).substr(0,1)},p=function(t){return t=t||"0",l(t)?new r(t,16).minus(new r("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",16)).minus(1):new r(t,16)},h=function(t){return t=t||"0",new r(t,16)},g=function(t){return p(t).dividedBy(new r(2).pow(128))},m=function(t){return h(t).dividedBy(new r(2).pow(128))},d=function(t){return"0x"+t},v=function(t){return"0000000000000000000000000000000000000000000000000000000000000001"===t?!0:!1},w=function(t){return i.toAscii(t)},y=function(t){return"0x"+t.slice(t.length-40,t.length)};e.exports={formatInputInt:u,formatInputString:s,formatInputBool:c,formatInputReal:a,formatOutputInt:p,formatOutputUInt:h,formatOutputReal:g,formatOutputUReal:m,formatOutputHash:d,formatOutputBool:v,formatOutputString:w,formatOutputAddress:y}}).call(this,t("_process"))},{"./const":4,"./utils":7,_process:2,"bignumber.js":8}],6:[function(t,e){var n=t("./formatters"),r=function(t){return function(e){return 0===e.indexOf(t)}},i=function(t){return function(e){return t===e}},o=function(){return[{type:r("uint"),format:n.formatInputInt},{type:r("int"),format:n.formatInputInt},{type:r("hash"),format:n.formatInputInt},{type:r("string"),format:n.formatInputString},{type:r("real"),format:n.formatInputReal},{type:r("ureal"),format:n.formatInputReal},{type:i("address"),format:n.formatInputInt},{type:i("bool"),format:n.formatInputBool}]},f=function(){return[{type:r("uint"),format:n.formatOutputUInt},{type:r("int"),format:n.formatOutputInt},{type:r("hash"),format:n.formatOutputHash},{type:r("string"),format:n.formatOutputString},{type:r("real"),format:n.formatOutputReal},{type:r("ureal"),format:n.formatOutputUReal},{type:i("address"),format:n.formatOutputAddress},{type:i("bool"),format:n.formatOutputBool}]};e.exports={prefixedType:r,namedType:i,inputTypes:o,outputTypes:f}},{"./formatters":5}],7:[function(t,e){var n=t("./const"),r=function(t,e){for(var n=!1,r=0;r<t.length&&!n;r++)n=e(t[r]);return n?r-1:-1},i=function(t){var e="",n=0,r=t.length;for("0x"===t.substring(0,2)&&(n=2);r>n;n+=2){var i=parseInt(t.substr(n,2),16);if(0===i)break;e+=String.fromCharCode(i)}return e},o=function(t){for(var e="",n=0;n<t.length;n++){var r=t.charCodeAt(n).toString(16);e+=r.length<2?"0"+r:r}return e},f=function(t,e){e=void 0===e?0:e;for(var n=o(t);n.length<2*e;)n+="00";return"0x"+n},u=function(t){var e=t.indexOf("(");return-1!==e?t.substr(0,e):t},s=function(t){var e=t.indexOf("(");return-1!==e?t.substr(e+1,t.length-1-(e+1)).replace(" ",""):""},c=function(t){return t.filter(function(t){return"function"===t.type})},a=function(t){return t.filter(function(t){return"event"===t.type})},l=function(t){for(var e="string"==typeof t?0===t.indexOf("0x")?parseInt(t.substr(2),16):parseInt(t):t,r=0,i=n.ETH_UNITS;e>3e3&&r<i.length-1;)e/=1e3,r++;for(var o=e.toString().length<e.toFixed(2).length?e.toString():e.toFixed(2),f=function(t,e,n){return e+","+n};;){var u=o;if(o=o.replace(/(\d)(\d\d\d[\.\,])/,f),u===o)break}return o+" "+i[r]};e.exports={findIndex:r,toAscii:i,fromAscii:f,extractDisplayName:u,extractTypeName:s,filterFunctions:c,filterEvents:a,toEth:l}},{"./const":4}],8:[function(t,e){!function(n){"use strict";function r(t){function e(t,r){var i,o,f,u,s,c,a=this;if(!(a instanceof e))return $&&U(26,"constructor call without new",t),new e(t,r);if(null!=r&&z(r,2,64,L,"base")){if(r=0|r,c=t+"",10==r)return a=new e(t instanceof e?t:c),F(a,B+a.e+1,H);if((u="number"==typeof t)&&0*t!=0||!new RegExp("^-?"+(i="["+N.slice(0,r)+"]+")+"(?:\\."+i+")?$",37>r?"i":"").test(c))return m(a,c,u,r);u?(a.s=0>1/t?(c=c.slice(1),-1):1,$&&c.replace(/^0\.0*|\./,"").length>15&&U(L,O,t),u=!1):a.s=45===c.charCodeAt(0)?(c=c.slice(1),-1):1,c=n(c,10,r,a.s)}else{if(t instanceof e)return a.s=t.s,a.e=t.e,a.c=(t=t.c)?t.slice():t,void(L=0);if((u="number"==typeof t)&&0*t==0){if(a.s=0>1/t?(t=-t,-1):1,t===~~t){for(o=0,f=t;f>=10;f/=10,o++);return a.e=o,a.c=[t],void(L=0)}c=t+""}else{if(!d.test(c=t+""))return m(a,c,u);a.s=45===c.charCodeAt(0)?(c=c.slice(1),-1):1}}for((o=c.indexOf("."))>-1&&(c=c.replace(".","")),(f=c.search(/e/i))>0?(0>o&&(o=f),o+=+c.slice(f+1),c=c.substring(0,f)):0>o&&(o=c.length),f=0;48===c.charCodeAt(f);f++);for(s=c.length;48===c.charCodeAt(--s););if(c=c.slice(f,s+1))if(s=c.length,u&&$&&s>15&&U(L,O,a.s*t),o=o-f-1,o>q)a.c=a.e=null;else if(k>o)a.c=[a.e=0];else{if(a.e=o,a.c=[],f=(o+1)%I,0>o&&(f+=I),s>f){for(f&&a.c.push(+c.slice(0,f)),s-=I;s>f;)a.c.push(+c.slice(f,f+=I));c=c.slice(f),f=I-c.length}else f-=s;for(;f--;c+="0");a.c.push(+c)}else a.c=[a.e=0];L=0}function n(t,n,r,i){var f,u,s,a,p,h,g,m=t.indexOf("."),d=B,v=H;for(37>r&&(t=t.toLowerCase()),m>=0&&(s=Y,Y=0,t=t.replace(".",""),g=new e(r),p=g.pow(t.length-m),Y=s,g.c=c(l(o(p.c),p.e),10,n),g.e=g.c.length),h=c(t,r,n),u=s=h.length;0==h[--s];h.pop());if(!h[0])return"0";if(0>m?--u:(p.c=h,p.e=u,p.s=i,p=G(p,g,d,v,n),h=p.c,a=p.r,u=p.e),f=u+d+1,m=h[f],s=n/2,a=a||0>f||null!=h[f+1],a=4>v?(null!=m||a)&&(0==v||v==(p.s<0?3:2)):m>s||m==s&&(4==v||a||6==v&&1&h[f-1]||v==(p.s<0?8:7)),1>f||!h[0])t=a?l("1",-d):"0";else{if(h.length=f,a)for(--n;++h[--f]>n;)h[f]=0,f||(++u,h.unshift(1));for(s=h.length;!h[--s];);for(m=0,t="";s>=m;t+=N.charAt(h[m++]));t=l(t,u)}return t}function h(t,n,r,i){var f,u,s,c,p;if(r=null!=r&&z(r,0,8,i,b)?0|r:H,!t.c)return t.toString();if(f=t.c[0],s=t.e,null==n)p=o(t.c),p=19==i||24==i&&C>=s?a(p,s):l(p,s);else if(t=F(new e(t),n,r),u=t.e,p=o(t.c),c=p.length,19==i||24==i&&(u>=n||C>=u)){for(;n>c;p+="0",c++);p=a(p,u)}else if(n-=s,p=l(p,u),u+1>c){if(--n>0)for(p+=".";n--;p+="0");}else if(n+=u-c,n>0)for(u+1==c&&(p+=".");n--;p+="0");return t.s<0&&f?"-"+p:p}function S(t,n){var r,i,o=0;for(s(t[0])&&(t=t[0]),r=new e(t[0]);++o<t.length;){if(i=new e(t[o]),!i.s){r=i;break}n.call(r,i)&&(r=i)}return r}function A(t,e,n,r,i){return(e>t||t>n||t!=p(t))&&U(r,(i||"decimal places")+(e>t||t>n?" out of range":" not an integer"),t),!0}function R(t,e,n){for(var r=1,i=e.length;!e[--i];e.pop());for(i=e[0];i>=10;i/=10,r++);return(n=r+n*I-1)>q?t.c=t.e=null:k>n?t.c=[t.e=0]:(t.e=n,t.c=e),t}function U(t,e,n){var r=new Error(["new BigNumber","cmp","config","div","divToInt","eq","gt","gte","lt","lte","minus","mod","plus","precision","random","round","shift","times","toDigits","toExponential","toFixed","toFormat","toFraction","pow","toPrecision","toString","BigNumber"][t]+"() "+e+": "+n);throw r.name="BigNumber Error",L=0,r}function F(t,e,n,r){var i,o,f,u,s,c,a,l=t.c,p=_;if(l){t:{for(i=1,u=l[0];u>=10;u/=10,i++);if(o=e-i,0>o)o+=I,f=e,s=l[c=0],a=s/p[i-f-1]%10|0;else if(c=v((o+1)/I),c>=l.length){if(!r)break t;for(;l.length<=c;l.push(0));s=a=0,i=1,o%=I,f=o-I+1}else{for(s=u=l[c],i=1;u>=10;u/=10,i++);o%=I,f=o-I+i,a=0>f?0:s/p[i-f-1]%10|0}if(r=r||0>e||null!=l[c+1]||(0>f?s:s%p[i-f-1]),r=4>n?(a||r)&&(0==n||n==(t.s<0?3:2)):a>5||5==a&&(4==n||r||6==n&&(o>0?f>0?s/p[i-f]:0:l[c-1])%10&1||n==(t.s<0?8:7)),1>e||!l[0])return l.length=0,r?(e-=t.e+1,l[0]=p[e%I],t.e=-e||0):l[0]=t.e=0,t;if(0==o?(l.length=c,u=1,c--):(l.length=c+1,u=p[I-o],l[c]=f>0?w(s/p[i-f]%p[f])*u:0),r)for(;;){if(0==c){for(o=1,f=l[0];f>=10;f/=10,o++);for(f=l[0]+=u,u=1;f>=10;f/=10,u++);o!=u&&(t.e++,l[0]==E&&(l[0]=1));break}if(l[c]+=u,l[c]!=E)break;l[c--]=0,u=1}for(o=l.length;0===l[--o];l.pop());}t.e>q?t.c=t.e=null:t.e<k&&(t.c=[t.e=0])}return t}var G,L=0,M=e.prototype,P=new e(1),B=20,H=4,C=-7,j=21,k=-1e7,q=1e7,$=!0,z=A,V=!1,W=1,Y=100,Z={decimalSeparator:".",groupSeparator:",",groupSize:3,secondaryGroupSize:0,fractionGroupSeparator:" ",fractionGroupSize:0};return e.another=r,e.ROUND_UP=0,e.ROUND_DOWN=1,e.ROUND_CEIL=2,e.ROUND_FLOOR=3,e.ROUND_HALF_UP=4,e.ROUND_HALF_DOWN=5,e.ROUND_HALF_EVEN=6,e.ROUND_HALF_CEIL=7,e.ROUND_HALF_FLOOR=8,e.EUCLID=9,e.config=function(){var t,e,n=0,r={},i=arguments,o=i[0],f=o&&"object"==typeof o?function(){return o.hasOwnProperty(e)?null!=(t=o[e]):void 0}:function(){return i.length>n?null!=(t=i[n++]):void 0};return f(e="DECIMAL_PLACES")&&z(t,0,D,2,e)&&(B=0|t),r[e]=B,f(e="ROUNDING_MODE")&&z(t,0,8,2,e)&&(H=0|t),r[e]=H,f(e="EXPONENTIAL_AT")&&(s(t)?z(t[0],-D,0,2,e)&&z(t[1],0,D,2,e)&&(C=0|t[0],j=0|t[1]):z(t,-D,D,2,e)&&(C=-(j=0|(0>t?-t:t)))),r[e]=[C,j],f(e="RANGE")&&(s(t)?z(t[0],-D,-1,2,e)&&z(t[1],1,D,2,e)&&(k=0|t[0],q=0|t[1]):z(t,-D,D,2,e)&&(0|t?k=-(q=0|(0>t?-t:t)):$&&U(2,e+" cannot be zero",t))),r[e]=[k,q],f(e="ERRORS")&&(t===!!t||1===t||0===t?(L=0,z=($=!!t)?A:u):$&&U(2,e+y,t)),r[e]=$,f(e="CRYPTO")&&(t===!!t||1===t||0===t?(V=!(!t||!g||"object"!=typeof g),t&&!V&&$&&U(2,"crypto unavailable",g)):$&&U(2,e+y,t)),r[e]=V,f(e="MODULO_MODE")&&z(t,0,9,2,e)&&(W=0|t),r[e]=W,f(e="POW_PRECISION")&&z(t,0,D,2,e)&&(Y=0|t),r[e]=Y,f(e="FORMAT")&&("object"==typeof t?Z=t:$&&U(2,e+" not an object",t)),r[e]=Z,r},e.max=function(){return S(arguments,M.lt)},e.min=function(){return S(arguments,M.gt)},e.random=function(){var t=9007199254740992,n=Math.random()*t&2097151?function(){return w(Math.random()*t)}:function(){return 8388608*(1073741824*Math.random()|0)+(8388608*Math.random()|0)};return function(t){var r,i,o,f,u,s=0,c=[],a=new e(P);if(t=null!=t&&z(t,0,D,14)?0|t:B,f=v(t/I),V)if(g&&g.getRandomValues){for(r=g.getRandomValues(new Uint32Array(f*=2));f>s;)u=131072*r[s]+(r[s+1]>>>11),u>=9e15?(i=g.getRandomValues(new Uint32Array(2)),r[s]=i[0],r[s+1]=i[1]):(c.push(u%1e14),s+=2);s=f/2}else if(g&&g.randomBytes){for(r=g.randomBytes(f*=7);f>s;)u=281474976710656*(31&r[s])+1099511627776*r[s+1]+4294967296*r[s+2]+16777216*r[s+3]+(r[s+4]<<16)+(r[s+5]<<8)+r[s+6],u>=9e15?g.randomBytes(7).copy(r,s):(c.push(u%1e14),s+=7);s=f/7}else $&&U(14,"crypto unavailable",g);if(!s)for(;f>s;)u=n(),9e15>u&&(c[s++]=u%1e14);for(f=c[--s],t%=I,f&&t&&(u=_[I-t],c[s]=w(f/u)*u);0===c[s];c.pop(),s--);if(0>s)c=[o=0];else{for(o=-1;0===c[0];c.shift(),o-=I);for(s=1,u=c[0];u>=10;u/=10,s++);I>s&&(o-=I-s)}return a.e=o,a.c=c,a}}(),G=function(){function t(t,e,n){var r,i,o,f,u=0,s=t.length,c=e%T,a=e/T|0;for(t=t.slice();s--;)o=t[s]%T,f=t[s]/T|0,r=a*o+f*c,i=c*o+r%T*T+u,u=(i/n|0)+(r/T|0)+a*f,t[s]=i%n;return u&&t.unshift(u),t}function n(t,e,n,r){var i,o;if(n!=r)o=n>r?1:-1;else for(i=o=0;n>i;i++)if(t[i]!=e[i]){o=t[i]>e[i]?1:-1;break}return o}function r(t,e,n,r){for(var i=0;n--;)t[n]-=i,i=t[n]<e[n]?1:0,t[n]=i*r+t[n]-e[n];for(;!t[0]&&t.length>1;t.shift());}return function(o,f,u,s,c){var a,l,p,h,g,m,d,v,y,b,O,N,x,_,T,D,S,A=o.s==f.s?1:-1,R=o.c,U=f.c;if(!(R&&R[0]&&U&&U[0]))return new e(o.s&&f.s&&(R?!U||R[0]!=U[0]:U)?R&&0==R[0]||!U?0*A:A/0:0/0);for(v=new e(A),y=v.c=[],l=o.e-f.e,A=u+l+1,c||(c=E,l=i(o.e/I)-i(f.e/I),A=A/I|0),p=0;U[p]==(R[p]||0);p++);if(U[p]>(R[p]||0)&&l--,0>A)y.push(1),h=!0;else{for(_=R.length,D=U.length,p=0,A+=2,g=w(c/(U[0]+1)),g>1&&(U=t(U,g,c),R=t(R,g,c),D=U.length,_=R.length),x=D,b=R.slice(0,D),O=b.length;D>O;b[O++]=0);S=U.slice(),S.unshift(0),T=U[0],U[1]>=c/2&&T++;do g=0,a=n(U,b,D,O),0>a?(N=b[0],D!=O&&(N=N*c+(b[1]||0)),g=w(N/T),g>1?(g>=c&&(g=c-1),m=t(U,g,c),d=m.length,O=b.length,a=n(m,b,d,O),1==a&&(g--,r(m,d>D?S:U,d,c))):(0==g&&(a=g=1),m=U.slice()),d=m.length,O>d&&m.unshift(0),r(b,m,O,c),-1==a&&(O=b.length,a=n(U,b,D,O),1>a&&(g++,r(b,O>D?S:U,O,c))),O=b.length):0===a&&(g++,b=[0]),y[p++]=g,a&&b[0]?b[O++]=R[x]||0:(b=[R[x]],O=1);while((x++<_||null!=b[0])&&A--);h=null!=b[0],y[0]||y.shift()}if(c==E){for(p=1,A=y[0];A>=10;A/=10,p++);F(v,u+(v.e=p+l*I-1)+1,s,h)}else v.e=l,v.r=+h;return v}}(),m==function(){var t=/^(-?)0([xbo])(\w[\w.]*$)/i,n=/^([^.]+)\.$/,r=/^\.([^.]+)$/,i=/^-?(Infinity|NaN)$/,o=/^\s*\+([\w.])|^\s+|\s+$/g;return function(f,u,s,c){var a,l=s?u:u.replace(o,"$1");if(i.test(l))f.s=isNaN(l)?null:0>l?-1:1;else{if(!s&&(l=l.replace(t,function(t,e,n){return a="x"==(n=n.toLowerCase())?16:"b"==n?2:8,c&&c!=a?t:e}),c&&(a=c,l=l.replace(n,"$1").replace(r,"0.$1")),u!=l))return new e(l,a);$&&U(L,"not a"+(c?" base "+c:"")+" number",u),f.s=null}f.c=f.e=null,L=0}}(),M.absoluteValue=M.abs=function(){var t=new e(this);return t.s<0&&(t.s=1),t},M.ceil=function(){return F(new e(this),this.e+1,2)},M.comparedTo=M.cmp=function(t,n){return L=1,f(this,new e(t,n))},M.decimalPlaces=M.dp=function(){var t,e,n=this.c;if(!n)return null;if(t=((e=n.length-1)-i(this.e/I))*I,e=n[e])for(;e%10==0;e/=10,t--);return 0>t&&(t=0),t},M.dividedBy=M.div=function(t,n){return L=3,G(this,new e(t,n),B,H)},M.dividedToIntegerBy=M.divToInt=function(t,n){return L=4,G(this,new e(t,n),0,1)},M.equals=M.eq=function(t,n){return L=5,0===f(this,new e(t,n))},M.floor=function(){return F(new e(this),this.e+1,3)},M.greaterThan=M.gt=function(t,n){return L=6,f(this,new e(t,n))>0},M.greaterThanOrEqualTo=M.gte=function(t,n){return L=7,1===(n=f(this,new e(t,n)))||0===n},M.isFinite=function(){return!!this.c},M.isInteger=M.isInt=function(){return!!this.c&&i(this.e/I)>this.c.length-2},M.isNaN=function(){return!this.s},M.isNegative=M.isNeg=function(){return this.s<0},M.isZero=function(){return!!this.c&&0==this.c[0]},M.lessThan=M.lt=function(t,n){return L=8,f(this,new e(t,n))<0},M.lessThanOrEqualTo=M.lte=function(t,n){return L=9,-1===(n=f(this,new e(t,n)))||0===n},M.minus=M.sub=function(t,n){var r,o,f,u,s=this,c=s.s;if(L=10,t=new e(t,n),n=t.s,!c||!n)return new e(0/0);if(c!=n)return t.s=-n,s.plus(t);var a=s.e/I,l=t.e/I,p=s.c,h=t.c;if(!a||!l){if(!p||!h)return p?(t.s=-n,t):new e(h?s:0/0);if(!p[0]||!h[0])return h[0]?(t.s=-n,t):new e(p[0]?s:3==H?-0:0)}if(a=i(a),l=i(l),p=p.slice(),c=a-l){for((u=0>c)?(c=-c,f=p):(l=a,f=h),f.reverse(),n=c;n--;f.push(0));f.reverse()}else for(o=(u=(c=p.length)<(n=h.length))?c:n,c=n=0;o>n;n++)if(p[n]!=h[n]){u=p[n]<h[n];break}if(u&&(f=p,p=h,h=f,t.s=-t.s),n=(o=h.length)-(r=p.length),n>0)for(;n--;p[r++]=0);for(n=E-1;o>c;){if(p[--o]<h[o]){for(r=o;r&&!p[--r];p[r]=n);--p[r],p[o]+=E}p[o]-=h[o]}for(;0==p[0];p.shift(),--l);return p[0]?R(t,p,l):(t.s=3==H?-1:1,t.c=[t.e=0],t)},M.modulo=M.mod=function(t,n){var r,i,o=this;return L=11,t=new e(t,n),!o.c||!t.s||t.c&&!t.c[0]?new e(0/0):!t.c||o.c&&!o.c[0]?new e(o):(9==W?(i=t.s,t.s=1,r=G(o,t,0,3),t.s=i,r.s*=i):r=G(o,t,0,W),o.minus(r.times(t)))},M.negated=M.neg=function(){var t=new e(this);return t.s=-t.s||null,t},M.plus=M.add=function(t,n){var r,o=this,f=o.s;if(L=12,t=new e(t,n),n=t.s,!f||!n)return new e(0/0);if(f!=n)return t.s=-n,o.minus(t);var u=o.e/I,s=t.e/I,c=o.c,a=t.c;if(!u||!s){if(!c||!a)return new e(f/0);if(!c[0]||!a[0])return a[0]?t:new e(c[0]?o:0*f)}if(u=i(u),s=i(s),c=c.slice(),f=u-s){for(f>0?(s=u,r=a):(f=-f,r=c),r.reverse();f--;r.push(0));r.reverse()}for(f=c.length,n=a.length,0>f-n&&(r=a,a=c,c=r,n=f),f=0;n;)f=(c[--n]=c[n]+a[n]+f)/E|0,c[n]%=E;return f&&(c.unshift(f),++s),R(t,c,s)},M.precision=M.sd=function(t){var e,n,r=this,i=r.c;if(null!=t&&t!==!!t&&1!==t&&0!==t&&($&&U(13,"argument"+y,t),t!=!!t&&(t=null)),!i)return null;if(n=i.length-1,e=n*I+1,n=i[n]){for(;n%10==0;n/=10,e--);for(n=i[0];n>=10;n/=10,e++);}return t&&r.e+1>e&&(e=r.e+1),e},M.round=function(t,n){var r=new e(this);return(null==t||z(t,0,D,15))&&F(r,~~t+this.e+1,null!=n&&z(n,0,8,15,b)?0|n:H),r},M.shift=function(t){var n=this;return z(t,-x,x,16,"argument")?n.times("1e"+p(t)):new e(n.c&&n.c[0]&&(-x>t||t>x)?n.s*(0>t?0:1/0):n)},M.squareRoot=M.sqrt=function(){var t,n,r,f,u,s=this,c=s.c,a=s.s,l=s.e,p=B+4,h=new e("0.5");if(1!==a||!c||!c[0])return new e(!a||0>a&&(!c||c[0])?0/0:c?s:1/0);if(a=Math.sqrt(+s),0==a||a==1/0?(n=o(c),(n.length+l)%2==0&&(n+="0"),a=Math.sqrt(n),l=i((l+1)/2)-(0>l||l%2),a==1/0?n="1e"+l:(n=a.toExponential(),n=n.slice(0,n.indexOf("e")+1)+l),r=new e(n)):r=new e(a+""),r.c[0])for(l=r.e,a=l+p,3>a&&(a=0);;)if(u=r,r=h.times(u.plus(G(s,u,p,1))),o(u.c).slice(0,a)===(n=o(r.c)).slice(0,a)){if(r.e<l&&--a,n=n.slice(a-3,a+1),"9999"!=n&&(f||"4999"!=n)){(!+n||!+n.slice(1)&&"5"==n.charAt(0))&&(F(r,r.e+B+2,1),t=!r.times(r).eq(s));break}if(!f&&(F(u,u.e+B+2,0),u.times(u).eq(s))){r=u;break}p+=4,a+=4,f=1}return F(r,r.e+B+1,H,t)},M.times=M.mul=function(t,n){var r,o,f,u,s,c,a,l,p,h,g,m,d,v,w,y=this,b=y.c,O=(L=17,t=new e(t,n)).c;if(!(b&&O&&b[0]&&O[0]))return!y.s||!t.s||b&&!b[0]&&!O||O&&!O[0]&&!b?t.c=t.e=t.s=null:(t.s*=y.s,b&&O?(t.c=[0],t.e=0):t.c=t.e=null),t;for(o=i(y.e/I)+i(t.e/I),t.s*=y.s,a=b.length,h=O.length,h>a&&(d=b,b=O,O=d,f=a,a=h,h=f),f=a+h,d=[];f--;d.push(0));for(v=E,w=T,f=h;--f>=0;){for(r=0,g=O[f]%w,m=O[f]/w|0,s=a,u=f+s;u>f;)l=b[--s]%w,p=b[s]/w|0,c=m*l+p*g,l=g*l+c%w*w+d[u]+r,r=(l/v|0)+(c/w|0)+m*p,d[u--]=l%v;d[u]=r}return r?++o:d.shift(),R(t,d,o)},M.toDigits=function(t,n){var r=new e(this);return t=null!=t&&z(t,1,D,18,"precision")?0|t:null,n=null!=n&&z(n,0,8,18,b)?0|n:H,t?F(r,t,n):r},M.toExponential=function(t,e){return h(this,null!=t&&z(t,0,D,19)?~~t+1:null,e,19)},M.toFixed=function(t,e){return h(this,null!=t&&z(t,0,D,20)?~~t+this.e+1:null,e,20)},M.toFormat=function(t,e){var n=h(this,null!=t&&z(t,0,D,21)?~~t+this.e+1:null,e,21);if(this.c){var r,i=n.split("."),o=+Z.groupSize,f=+Z.secondaryGroupSize,u=Z.groupSeparator,s=i[0],c=i[1],a=this.s<0,l=a?s.slice(1):s,p=l.length;if(f&&(r=o,o=f,f=r,p-=r),o>0&&p>0){for(r=p%o||o,s=l.substr(0,r);p>r;r+=o)s+=u+l.substr(r,o);f>0&&(s+=u+l.slice(r)),a&&(s="-"+s)}n=c?s+Z.decimalSeparator+((f=+Z.fractionGroupSize)?c.replace(new RegExp("\\d{"+f+"}\\B","g"),"$&"+Z.fractionGroupSeparator):c):s}return n},M.toFraction=function(t){var n,r,i,f,u,s,c,a,l,p=$,h=this,g=h.c,m=new e(P),d=r=new e(P),v=c=new e(P);if(null!=t&&($=!1,s=new e(t),$=p,(!(p=s.isInt())||s.lt(P))&&($&&U(22,"max denominator "+(p?"out of range":"not an integer"),t),t=!p&&s.c&&F(s,s.e+1,1).gte(P)?s:null)),!g)return h.toString();for(l=o(g),f=m.e=l.length-h.e-1,m.c[0]=_[(u=f%I)<0?I+u:u],t=!t||s.cmp(m)>0?f>0?m:d:s,u=q,q=1/0,s=new e(l),c.c[0]=0;a=G(s,m,0,1),i=r.plus(a.times(v)),1!=i.cmp(t);)r=v,v=i,d=c.plus(a.times(i=d)),c=i,m=s.minus(a.times(i=m)),s=i;return i=G(t.minus(r),v,0,1),c=c.plus(i.times(d)),r=r.plus(i.times(v)),c.s=d.s=h.s,f*=2,n=G(d,v,f,H).minus(h).abs().cmp(G(c,r,f,H).minus(h).abs())<1?[d.toString(),v.toString()]:[c.toString(),r.toString()],q=u,n},M.toNumber=function(){var t=this;return+t||(t.s?0*t.s:0/0)},M.toPower=M.pow=function(t){var n,r,i=w(0>t?-t:+t),o=this;if(!z(t,-x,x,23,"exponent")&&(!isFinite(t)||i>x&&(t/=0)||parseFloat(t)!=t&&!(t=0/0)))return new e(Math.pow(+o,t));for(n=Y?v(Y/I+2):0,r=new e(P);;){if(i%2){if(r=r.times(o),!r.c)break;n&&r.c.length>n&&(r.c.length=n)}if(i=w(i/2),!i)break;o=o.times(o),n&&o.c&&o.c.length>n&&(o.c.length=n)}return 0>t&&(r=P.div(r)),n?F(r,Y,H):r},M.toPrecision=function(t,e){return h(this,null!=t&&z(t,1,D,24,"precision")?0|t:null,e,24)},M.toString=function(t){var e,r=this,i=r.s,f=r.e;return null===f?i?(e="Infinity",0>i&&(e="-"+e)):e="NaN":(e=o(r.c),e=null!=t&&z(t,2,64,25,"base")?n(l(e,f),0|t,10,i):C>=f||f>=j?a(e,f):l(e,f),0>i&&r.c[0]&&(e="-"+e)),e},M.truncated=M.trunc=function(){return F(new e(this),this.e+1,1)},M.valueOf=M.toJSON=function(){return this.toString()},null!=t&&e.config(t),e}function i(t){var e=0|t;return t>0||t===e?e:e-1}function o(t){for(var e,n,r=1,i=t.length,o=t[0]+"";i>r;){for(e=t[r++]+"",n=I-e.length;n--;e="0"+e);o+=e}for(i=o.length;48===o.charCodeAt(--i););return o.slice(0,i+1||1)}function f(t,e){var n,r,i=t.c,o=e.c,f=t.s,u=e.s,s=t.e,c=e.e;if(!f||!u)return null;if(n=i&&!i[0],r=o&&!o[0],n||r)return n?r?0:-u:f;if(f!=u)return f;if(n=0>f,r=s==c,!i||!o)return r?0:!i^n?1:-1;if(!r)return s>c^n?1:-1;for(u=(s=i.length)<(c=o.length)?s:c,f=0;u>f;f++)if(i[f]!=o[f])return i[f]>o[f]^n?1:-1;return s==c?0:s>c^n?1:-1}function u(t,e,n){return(t=p(t))>=e&&n>=t}function s(t){return"[object Array]"==Object.prototype.toString.call(t)}function c(t,e,n){for(var r,i,o=[0],f=0,u=t.length;u>f;){for(i=o.length;i--;o[i]*=e);for(o[r=0]+=N.indexOf(t.charAt(f++));r<o.length;r++)o[r]>n-1&&(null==o[r+1]&&(o[r+1]=0),o[r+1]+=o[r]/n|0,o[r]%=n)}return o.reverse()}function a(t,e){return(t.length>1?t.charAt(0)+"."+t.slice(1):t)+(0>e?"e":"e+")+e}function l(t,e){var n,r;if(0>e){for(r="0.";++e;r+="0");t=r+t}else if(n=t.length,++e>n){for(r="0",e-=n;--e;r+="0");t+=r}else n>e&&(t=t.slice(0,e)+"."+t.slice(e));return t}function p(t){return t=parseFloat(t),0>t?v(t):w(t)}var h,g,m,d=/^-?(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,v=Math.ceil,w=Math.floor,y=" not a boolean or binary digit",b="rounding mode",O="number type has more than 15 significant digits",N="0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_",E=1e14,I=14,x=9007199254740991,_=[1,10,100,1e3,1e4,1e5,1e6,1e7,1e8,1e9,1e10,1e11,1e12,1e13],T=1e7,D=1e9;if(h=r(),"function"==typeof define&&define.amd)define(function(){return h});else if("undefined"!=typeof e&&e.exports){if(e.exports=h,!g)try{g=t("crypto")}catch(S){}}else n.BigNumber=h}(this)},{crypto:1}],natspec:[function(t,e){var n=t("./node_modules/ethereum.js/lib/abi.js"),r=function(){var 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 2024-11-17 06:15:43 +0800