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eslint-disable no-proto -- safe */\nvar anObject = require('../internals/an-object');\nvar aPossiblePrototype = require('../internals/a-possible-prototype');\n\n// `Object.setPrototypeOf` method\n// https://tc39.es/ecma262/#sec-object.setprototypeof\n// Works with __proto__ only. Old v8 can't work with null proto objects.\n// eslint-disable-next-line es/no-object-setprototypeof -- safe\nmodule.exports = Object.setPrototypeOf || ('__proto__' in {} ? function () {\n var CORRECT_SETTER = false;\n var test = {};\n var setter;\n try {\n // eslint-disable-next-line es/no-object-getownpropertydescriptor -- safe\n setter = Object.getOwnPropertyDescriptor(Object.prototype, '__proto__').set;\n setter.call(test, []);\n CORRECT_SETTER = test instanceof Array;\n } catch (error) { /* empty */ }\n return function setPrototypeOf(O, proto) {\n anObject(O);\n aPossiblePrototype(proto);\n if (CORRECT_SETTER) setter.call(O, proto);\n else O.__proto__ = proto;\n return O;\n };\n}() : undefined);\n","/**\n * @license Fraction.js v4.0.12 09/09/2015\n * http://www.xarg.org/2014/03/rational-numbers-in-javascript/\n *\n * Copyright (c) 2015, Robert Eisele (robert@xarg.org)\n * Dual licensed under the MIT or GPL Version 2 licenses.\n **/\n\n/**\n *\n * This class offers the possibility to calculate fractions.\n * You can pass a fraction in different formats. Either as array, as double, as string or as an integer.\n *\n * Array/Object form\n * [ 0 => , 1 => ]\n * [ n => , d => ]\n *\n * Integer form\n * - Single integer value\n *\n * Double form\n * - Single double value\n *\n * String form\n * 123.456 - a simple double\n * 123/456 - a string fraction\n * 123.'456' - a double with repeating decimal places\n * 123.(456) - synonym\n * 123.45'6' - a double with repeating last place\n * 123.45(6) - synonym\n *\n * Example:\n *\n * var f = new Fraction(\"9.4'31'\");\n * f.mul([-4, 3]).div(4.9);\n *\n */\n(function (root) {\n \"use strict\"; // Maximum search depth for cyclic rational numbers. 2000 should be more than enough.\n // Example: 1/7 = 0.(142857) has 6 repeating decimal places.\n // If MAX_CYCLE_LEN gets reduced, long cycles will not be detected and toString() only gets the first 10 digits\n\n var MAX_CYCLE_LEN = 2000; // Parsed data to avoid calling \"new\" all the time\n\n var P = {\n \"s\": 1,\n \"n\": 0,\n \"d\": 1\n };\n\n function createError(name) {\n function errorConstructor() {\n var temp = Error.apply(this, arguments);\n temp['name'] = this['name'] = name;\n this['stack'] = temp['stack'];\n this['message'] = temp['message'];\n }\n /**\n * Error constructor\n *\n * @constructor\n */\n\n\n function IntermediateInheritor() {}\n\n IntermediateInheritor.prototype = Error.prototype;\n errorConstructor.prototype = new IntermediateInheritor();\n return errorConstructor;\n }\n\n var DivisionByZero = Fraction['DivisionByZero'] = createError('DivisionByZero');\n var InvalidParameter = Fraction['InvalidParameter'] = createError('InvalidParameter');\n\n function assign(n, s) {\n if (isNaN(n = parseInt(n, 10))) {\n throwInvalidParam();\n }\n\n return n * s;\n }\n\n function throwInvalidParam() {\n throw new InvalidParameter();\n }\n\n var parse = function parse(p1, p2) {\n var n = 0,\n d = 1,\n s = 1;\n var v = 0,\n w = 0,\n x = 0,\n y = 1,\n z = 1;\n var A = 0,\n B = 1;\n var C = 1,\n D = 1;\n var N = 10000000;\n var M;\n\n if (p1 === undefined || p1 === null) {\n /* void */\n } else if (p2 !== undefined) {\n n = p1;\n d = p2;\n s = n * d;\n } else switch (typeof p1) {\n case \"object\":\n {\n if (\"d\" in p1 && \"n\" in p1) {\n n = p1[\"n\"];\n d = p1[\"d\"];\n if (\"s\" in p1) n *= p1[\"s\"];\n } else if (0 in p1) {\n n = p1[0];\n if (1 in p1) d = p1[1];\n } else {\n throwInvalidParam();\n }\n\n s = n * d;\n break;\n }\n\n case \"number\":\n {\n if (p1 < 0) {\n s = p1;\n p1 = -p1;\n }\n\n if (p1 % 1 === 0) {\n n = p1;\n } else if (p1 > 0) {\n // check for != 0, scale would become NaN (log(0)), which converges really slow\n if (p1 >= 1) {\n z = Math.pow(10, Math.floor(1 + Math.log(p1) / Math.LN10));\n p1 /= z;\n } // Using Farey Sequences\n // http://www.johndcook.com/blog/2010/10/20/best-rational-approximation/\n\n\n while (B <= N && D <= N) {\n M = (A + C) / (B + D);\n\n if (p1 === M) {\n if (B + D <= N) {\n n = A + C;\n d = B + D;\n } else if (D > B) {\n n = C;\n d = D;\n } else {\n n = A;\n d = B;\n }\n\n break;\n } else {\n if (p1 > M) {\n A += C;\n B += D;\n } else {\n C += A;\n D += B;\n }\n\n if (B > N) {\n n = C;\n d = D;\n } else {\n n = A;\n d = B;\n }\n }\n }\n\n n *= z;\n } else if (isNaN(p1) || isNaN(p2)) {\n d = n = NaN;\n }\n\n break;\n }\n\n case \"string\":\n {\n B = p1.match(/\\d+|./g);\n if (B === null) throwInvalidParam();\n\n if (B[A] === '-') {\n // Check for minus sign at the beginning\n s = -1;\n A++;\n } else if (B[A] === '+') {\n // Check for plus sign at the beginning\n A++;\n }\n\n if (B.length === A + 1) {\n // Check if it's just a simple number \"1234\"\n w = assign(B[A++], s);\n } else if (B[A + 1] === '.' || B[A] === '.') {\n // Check if it's a decimal number\n if (B[A] !== '.') {\n // Handle 0.5 and .5\n v = assign(B[A++], s);\n }\n\n A++; // Check for decimal places\n\n if (A + 1 === B.length || B[A + 1] === '(' && B[A + 3] === ')' || B[A + 1] === \"'\" && B[A + 3] === \"'\") {\n w = assign(B[A], s);\n y = Math.pow(10, B[A].length);\n A++;\n } // Check for repeating places\n\n\n if (B[A] === '(' && B[A + 2] === ')' || B[A] === \"'\" && B[A + 2] === \"'\") {\n x = assign(B[A + 1], s);\n z = Math.pow(10, B[A + 1].length) - 1;\n A += 3;\n }\n } else if (B[A + 1] === '/' || B[A + 1] === ':') {\n // Check for a simple fraction \"123/456\" or \"123:456\"\n w = assign(B[A], s);\n y = assign(B[A + 2], 1);\n A += 3;\n } else if (B[A + 3] === '/' && B[A + 1] === ' ') {\n // Check for a complex fraction \"123 1/2\"\n v = assign(B[A], s);\n w = assign(B[A + 2], s);\n y = assign(B[A + 4], 1);\n A += 5;\n }\n\n if (B.length <= A) {\n // Check for more tokens on the stack\n d = y * z;\n s =\n /* void */\n n = x + d * v + z * w;\n break;\n }\n /* Fall through on error */\n\n }\n\n default:\n throwInvalidParam();\n }\n\n if (d === 0) {\n throw new DivisionByZero();\n }\n\n P[\"s\"] = s < 0 ? -1 : 1;\n P[\"n\"] = Math.abs(n);\n P[\"d\"] = Math.abs(d);\n };\n\n function modpow(b, e, m) {\n var r = 1;\n\n for (; e > 0; b = b * b % m, e >>= 1) {\n if (e & 1) {\n r = r * b % m;\n }\n }\n\n return r;\n }\n\n function cycleLen(n, d) {\n for (; d % 2 === 0; d /= 2) {}\n\n for (; d % 5 === 0; d /= 5) {}\n\n if (d === 1) // Catch non-cyclic numbers\n return 0; // If we would like to compute really large numbers quicker, we could make use of Fermat's little theorem:\n // 10^(d-1) % d == 1\n // However, we don't need such large numbers and MAX_CYCLE_LEN should be the capstone,\n // as we want to translate the numbers to strings.\n\n var rem = 10 % d;\n var t = 1;\n\n for (; rem !== 1; t++) {\n rem = rem * 10 % d;\n if (t > MAX_CYCLE_LEN) return 0; // Returning 0 here means that we don't print it as a cyclic number. It's likely that the answer is `d-1`\n }\n\n return t;\n }\n\n function cycleStart(n, d, len) {\n var rem1 = 1;\n var rem2 = modpow(10, len, d);\n\n for (var t = 0; t < 300; t++) {\n // s < ~log10(Number.MAX_VALUE)\n // Solve 10^s == 10^(s+t) (mod d)\n if (rem1 === rem2) return t;\n rem1 = rem1 * 10 % d;\n rem2 = rem2 * 10 % d;\n }\n\n return 0;\n }\n\n function _gcd(a, b) {\n if (!a) return b;\n if (!b) return a;\n\n while (1) {\n a %= b;\n if (!a) return b;\n b %= a;\n if (!b) return a;\n }\n }\n\n ;\n /**\n * Module constructor\n *\n * @constructor\n * @param {number|Fraction=} a\n * @param {number=} b\n */\n\n function Fraction(a, b) {\n if (!(this instanceof Fraction)) {\n return new Fraction(a, b);\n }\n\n parse(a, b);\n\n if (Fraction['REDUCE']) {\n a = _gcd(P[\"d\"], P[\"n\"]); // Abuse a\n } else {\n a = 1;\n }\n\n this[\"s\"] = P[\"s\"];\n this[\"n\"] = P[\"n\"] / a;\n this[\"d\"] = P[\"d\"] / a;\n }\n /**\n * Boolean global variable to be able to disable automatic reduction of the fraction\n *\n */\n\n\n Fraction['REDUCE'] = 1;\n Fraction.prototype = {\n \"s\": 1,\n \"n\": 0,\n \"d\": 1,\n\n /**\n * Calculates the absolute value\n *\n * Ex: new Fraction(-4).abs() => 4\n **/\n \"abs\": function abs() {\n return new Fraction(this[\"n\"], this[\"d\"]);\n },\n\n /**\n * Inverts the sign of the current fraction\n *\n * Ex: new Fraction(-4).neg() => 4\n **/\n \"neg\": function neg() {\n return new Fraction(-this[\"s\"] * this[\"n\"], this[\"d\"]);\n },\n\n /**\n * Adds two rational numbers\n *\n * Ex: new Fraction({n: 2, d: 3}).add(\"14.9\") => 467 / 30\n **/\n \"add\": function add(a, b) {\n parse(a, b);\n return new Fraction(this[\"s\"] * this[\"n\"] * P[\"d\"] + P[\"s\"] * this[\"d\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n },\n\n /**\n * Subtracts two rational numbers\n *\n * Ex: new Fraction({n: 2, d: 3}).add(\"14.9\") => -427 / 30\n **/\n \"sub\": function sub(a, b) {\n parse(a, b);\n return new Fraction(this[\"s\"] * this[\"n\"] * P[\"d\"] - P[\"s\"] * this[\"d\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n },\n\n /**\n * Multiplies two rational numbers\n *\n * Ex: new Fraction(\"-17.(345)\").mul(3) => 5776 / 111\n **/\n \"mul\": function mul(a, b) {\n parse(a, b);\n return new Fraction(this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"n\"], this[\"d\"] * P[\"d\"]);\n },\n\n /**\n * Divides two rational numbers\n *\n * Ex: new Fraction(\"-17.(345)\").inverse().div(3)\n **/\n \"div\": function div(a, b) {\n parse(a, b);\n return new Fraction(this[\"s\"] * P[\"s\"] * this[\"n\"] * P[\"d\"], this[\"d\"] * P[\"n\"]);\n },\n\n /**\n * Clones the actual object\n *\n * Ex: new Fraction(\"-17.(345)\").clone()\n **/\n \"clone\": function clone() {\n return new Fraction(this);\n },\n\n /**\n * Calculates the modulo of two rational numbers - a more precise fmod\n *\n * Ex: new Fraction('4.(3)').mod([7, 8]) => (13/3) % (7/8) = (5/6)\n **/\n \"mod\": function mod(a, b) {\n if (isNaN(this['n']) || isNaN(this['d'])) {\n return new Fraction(NaN);\n }\n\n if (a === undefined) {\n return new Fraction(this[\"s\"] * this[\"n\"] % this[\"d\"], 1);\n }\n\n parse(a, b);\n\n if (0 === P[\"n\"] && 0 === this[\"d\"]) {\n Fraction(0, 0); // Throw DivisionByZero\n }\n /*\n * First silly attempt, kinda slow\n *\n return that[\"sub\"]({\n \"n\": num[\"n\"] * Math.floor((this.n / this.d) / (num.n / num.d)),\n \"d\": num[\"d\"],\n \"s\": this[\"s\"]\n });*/\n\n /*\n * New attempt: a1 / b1 = a2 / b2 * q + r\n * => b2 * a1 = a2 * b1 * q + b1 * b2 * r\n * => (b2 * a1 % a2 * b1) / (b1 * b2)\n */\n\n\n return new Fraction(this[\"s\"] * (P[\"d\"] * this[\"n\"]) % (P[\"n\"] * this[\"d\"]), P[\"d\"] * this[\"d\"]);\n },\n\n /**\n * Calculates the fractional gcd of two rational numbers\n *\n * Ex: new Fraction(5,8).gcd(3,7) => 1/56\n */\n \"gcd\": function gcd(a, b) {\n parse(a, b); // gcd(a / b, c / d) = gcd(a, c) / lcm(b, d)\n\n return new Fraction(_gcd(P[\"n\"], this[\"n\"]) * _gcd(P[\"d\"], this[\"d\"]), P[\"d\"] * this[\"d\"]);\n },\n\n /**\n * Calculates the fractional lcm of two rational numbers\n *\n * Ex: new Fraction(5,8).lcm(3,7) => 15\n */\n \"lcm\": function lcm(a, b) {\n parse(a, b); // lcm(a / b, c / d) = lcm(a, c) / gcd(b, d)\n\n if (P[\"n\"] === 0 && this[\"n\"] === 0) {\n return new Fraction();\n }\n\n return new Fraction(P[\"n\"] * this[\"n\"], _gcd(P[\"n\"], this[\"n\"]) * _gcd(P[\"d\"], this[\"d\"]));\n },\n\n /**\n * Calculates the ceil of a rational number\n *\n * Ex: new Fraction('4.(3)').ceil() => (5 / 1)\n **/\n \"ceil\": function ceil(places) {\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n\n return new Fraction(Math.ceil(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n },\n\n /**\n * Calculates the floor of a rational number\n *\n * Ex: new Fraction('4.(3)').floor() => (4 / 1)\n **/\n \"floor\": function floor(places) {\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n\n return new Fraction(Math.floor(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n },\n\n /**\n * Rounds a rational numbers\n *\n * Ex: new Fraction('4.(3)').round() => (4 / 1)\n **/\n \"round\": function round(places) {\n places = Math.pow(10, places || 0);\n\n if (isNaN(this[\"n\"]) || isNaN(this[\"d\"])) {\n return new Fraction(NaN);\n }\n\n return new Fraction(Math.round(places * this[\"s\"] * this[\"n\"] / this[\"d\"]), places);\n },\n\n /**\n * Gets the inverse of the fraction, means numerator and denominator are exchanged\n *\n * Ex: new Fraction([-3, 4]).inverse() => -4 / 3\n **/\n \"inverse\": function inverse() {\n return new Fraction(this[\"s\"] * this[\"d\"], this[\"n\"]);\n },\n\n /**\n * Calculates the fraction to some integer exponent\n *\n * Ex: new Fraction(-1,2).pow(-3) => -8\n */\n \"pow\": function pow(m) {\n if (m < 0) {\n return new Fraction(Math.pow(this['s'] * this[\"d\"], -m), Math.pow(this[\"n\"], -m));\n } else {\n return new Fraction(Math.pow(this['s'] * this[\"n\"], m), Math.pow(this[\"d\"], m));\n }\n },\n\n /**\n * Check if two rational numbers are the same\n *\n * Ex: new Fraction(19.6).equals([98, 5]);\n **/\n \"equals\": function equals(a, b) {\n parse(a, b);\n return this[\"s\"] * this[\"n\"] * P[\"d\"] === P[\"s\"] * P[\"n\"] * this[\"d\"]; // Same as compare() === 0\n },\n\n /**\n * Check if two rational numbers are the same\n *\n * Ex: new Fraction(19.6).equals([98, 5]);\n **/\n \"compare\": function compare(a, b) {\n parse(a, b);\n var t = this[\"s\"] * this[\"n\"] * P[\"d\"] - P[\"s\"] * P[\"n\"] * this[\"d\"];\n return (0 < t) - (t < 0);\n },\n \"simplify\": function simplify(eps) {\n // First naive implementation, needs improvement\n if (isNaN(this['n']) || isNaN(this['d'])) {\n return this;\n }\n\n var cont = this['abs']()['toContinued']();\n eps = eps || 0.001;\n\n function rec(a) {\n if (a.length === 1) return new Fraction(a[0]);\n return rec(a.slice(1))['inverse']()['add'](a[0]);\n }\n\n for (var i = 0; i < cont.length; i++) {\n var tmp = rec(cont.slice(0, i + 1));\n\n if (tmp['sub'](this['abs']())['abs']().valueOf() < eps) {\n return tmp['mul'](this['s']);\n }\n }\n\n return this;\n },\n\n /**\n * Check if two rational numbers are divisible\n *\n * Ex: new Fraction(19.6).divisible(1.5);\n */\n \"divisible\": function divisible(a, b) {\n parse(a, b);\n return !(!(P[\"n\"] * this[\"d\"]) || this[\"n\"] * P[\"d\"] % (P[\"n\"] * this[\"d\"]));\n },\n\n /**\n * Returns a decimal representation of the fraction\n *\n * Ex: new Fraction(\"100.'91823'\").valueOf() => 100.91823918239183\n **/\n 'valueOf': function valueOf() {\n return this[\"s\"] * this[\"n\"] / this[\"d\"];\n },\n\n /**\n * Returns a string-fraction representation of a Fraction object\n *\n * Ex: new Fraction(\"1.'3'\").toFraction() => \"4 1/3\"\n **/\n 'toFraction': function toFraction(excludeWhole) {\n var whole,\n str = \"\";\n var n = this[\"n\"];\n var d = this[\"d\"];\n\n if (this[\"s\"] < 0) {\n str += '-';\n }\n\n if (d === 1) {\n str += n;\n } else {\n if (excludeWhole && (whole = Math.floor(n / d)) > 0) {\n str += whole;\n str += \" \";\n n %= d;\n }\n\n str += n;\n str += '/';\n str += d;\n }\n\n return str;\n },\n\n /**\n * Returns a latex representation of a Fraction object\n *\n * Ex: new Fraction(\"1.'3'\").toLatex() => \"\\frac{4}{3}\"\n **/\n 'toLatex': function toLatex(excludeWhole) {\n var whole,\n str = \"\";\n var n = this[\"n\"];\n var d = this[\"d\"];\n\n if (this[\"s\"] < 0) {\n str += '-';\n }\n\n if (d === 1) {\n str += n;\n } else {\n if (excludeWhole && (whole = Math.floor(n / d)) > 0) {\n str += whole;\n n %= d;\n }\n\n str += \"\\\\frac{\";\n str += n;\n str += '}{';\n str += d;\n str += '}';\n }\n\n return str;\n },\n\n /**\n * Returns an array of continued fraction elements\n *\n * Ex: new Fraction(\"7/8\").toContinued() => [0,1,7]\n */\n 'toContinued': function toContinued() {\n var t;\n var a = this['n'];\n var b = this['d'];\n var res = [];\n\n if (isNaN(a) || isNaN(b)) {\n return res;\n }\n\n do {\n res.push(Math.floor(a / b));\n t = a % b;\n a = b;\n b = t;\n } while (a !== 1);\n\n return res;\n },\n\n /**\n * Creates a string representation of a fraction with all digits\n *\n * Ex: new Fraction(\"100.'91823'\").toString() => \"100.(91823)\"\n **/\n 'toString': function toString(dec) {\n var g;\n var N = this[\"n\"];\n var D = this[\"d\"];\n\n if (isNaN(N) || isNaN(D)) {\n return \"NaN\";\n }\n\n if (!Fraction['REDUCE']) {\n g = _gcd(N, D);\n N /= g;\n D /= g;\n }\n\n dec = dec || 15; // 15 = decimal places when no repitation\n\n var cycLen = cycleLen(N, D); // Cycle length\n\n var cycOff = cycleStart(N, D, cycLen); // Cycle start\n\n var str = this['s'] === -1 ? \"-\" : \"\";\n str += N / D | 0;\n N %= D;\n N *= 10;\n if (N) str += \".\";\n\n if (cycLen) {\n for (var i = cycOff; i--;) {\n str += N / D | 0;\n N %= D;\n N *= 10;\n }\n\n str += \"(\";\n\n for (var i = cycLen; i--;) {\n str += N / D | 0;\n N %= D;\n N *= 10;\n }\n\n str += \")\";\n } else {\n for (var i = dec; N && i--;) {\n str += N / D | 0;\n N %= D;\n N *= 10;\n }\n }\n\n return str;\n }\n };\n\n if (typeof define === \"function\" && define[\"amd\"]) {\n define([], function () {\n return Fraction;\n });\n } else if (typeof exports === \"object\") {\n Object.defineProperty(Fraction, \"__esModule\", {\n 'value': true\n });\n Fraction['default'] = Fraction;\n Fraction['Fraction'] = Fraction;\n module['exports'] = Fraction;\n } else {\n root['Fraction'] = Fraction;\n }\n})(this);","/**\n * Copyright (c) 2014-present, Facebook, Inc.\n *\n * This source code is licensed under the MIT license found in the\n * LICENSE file in the root directory of this source tree.\n */\n\n'use strict';\n\n/**\n * Similar to invariant but only logs a warning if the condition is not met.\n * This can be used to log issues in development environments in critical\n * paths. Removing the logging code for production environments will keep the\n * same logic and follow the same code paths.\n */\n\nvar __DEV__ = process.env.NODE_ENV !== 'production';\n\nvar warning = function() {};\n\nif (__DEV__) {\n var printWarning = function printWarning(format, args) {\n var len = arguments.length;\n args = new Array(len > 1 ? len - 1 : 0);\n for (var key = 1; key < len; key++) {\n args[key - 1] = arguments[key];\n }\n var argIndex = 0;\n var message = 'Warning: ' +\n format.replace(/%s/g, function() {\n return args[argIndex++];\n });\n if (typeof console !== 'undefined') {\n console.error(message);\n }\n try {\n // --- Welcome to debugging React ---\n // This error was thrown as a convenience so that you can use this stack\n // to find the callsite that caused this warning to fire.\n throw new Error(message);\n } catch (x) {}\n }\n\n warning = function(condition, format, args) {\n var len = arguments.length;\n args = new Array(len > 2 ? len - 2 : 0);\n for (var key = 2; key < len; key++) {\n args[key - 2] = arguments[key];\n }\n if (format === undefined) {\n throw new Error(\n '`warning(condition, format, ...args)` requires a warning ' +\n 'message argument'\n );\n }\n if (!condition) {\n printWarning.apply(null, [format].concat(args));\n }\n };\n}\n\nmodule.exports = warning;\n","'use strict';\n\nvar reactIs = require('react-is');\n/**\n * Copyright 2015, Yahoo! Inc.\n * Copyrights licensed under the New BSD License. See the accompanying LICENSE file for terms.\n */\n\n\nvar REACT_STATICS = {\n childContextTypes: true,\n contextType: true,\n contextTypes: true,\n defaultProps: true,\n displayName: true,\n getDefaultProps: true,\n getDerivedStateFromError: true,\n getDerivedStateFromProps: true,\n mixins: true,\n propTypes: true,\n type: true\n};\nvar KNOWN_STATICS = {\n name: true,\n length: true,\n prototype: true,\n caller: true,\n callee: true,\n arguments: true,\n arity: true\n};\nvar FORWARD_REF_STATICS = {\n '$$typeof': true,\n render: true,\n defaultProps: true,\n displayName: true,\n propTypes: true\n};\nvar MEMO_STATICS = {\n '$$typeof': true,\n compare: true,\n defaultProps: true,\n displayName: true,\n propTypes: true,\n type: true\n};\nvar TYPE_STATICS = {};\nTYPE_STATICS[reactIs.ForwardRef] = FORWARD_REF_STATICS;\nTYPE_STATICS[reactIs.Memo] = MEMO_STATICS;\n\nfunction getStatics(component) {\n // React v16.11 and below\n if (reactIs.isMemo(component)) {\n return MEMO_STATICS;\n } // React v16.12 and above\n\n\n return TYPE_STATICS[component['$$typeof']] || REACT_STATICS;\n}\n\nvar defineProperty = Object.defineProperty;\nvar getOwnPropertyNames = Object.getOwnPropertyNames;\nvar getOwnPropertySymbols = Object.getOwnPropertySymbols;\nvar getOwnPropertyDescriptor = Object.getOwnPropertyDescriptor;\nvar getPrototypeOf = Object.getPrototypeOf;\nvar objectPrototype = Object.prototype;\n\nfunction hoistNonReactStatics(targetComponent, sourceComponent, blacklist) {\n if (typeof sourceComponent !== 'string') {\n // don't hoist over string (html) components\n if (objectPrototype) {\n var inheritedComponent = getPrototypeOf(sourceComponent);\n\n if (inheritedComponent && inheritedComponent !== objectPrototype) {\n hoistNonReactStatics(targetComponent, inheritedComponent, blacklist);\n }\n }\n\n var keys = getOwnPropertyNames(sourceComponent);\n\n if (getOwnPropertySymbols) {\n keys = keys.concat(getOwnPropertySymbols(sourceComponent));\n }\n\n var targetStatics = getStatics(targetComponent);\n var sourceStatics = getStatics(sourceComponent);\n\n for (var i = 0; i < keys.length; ++i) {\n var key = keys[i];\n\n if (!KNOWN_STATICS[key] && !(blacklist && blacklist[key]) && !(sourceStatics && sourceStatics[key]) && !(targetStatics && targetStatics[key])) {\n var descriptor = getOwnPropertyDescriptor(sourceComponent, key);\n\n try {\n // Avoid failures from read-only properties\n defineProperty(targetComponent, key, descriptor);\n } catch (e) {}\n }\n }\n }\n\n return targetComponent;\n}\n\nmodule.exports = hoistNonReactStatics;","var toString = {}.toString;\n\nmodule.exports = Array.isArray || function (arr) {\n return toString.call(arr) == '[object Array]';\n};","var has = require('../internals/has');\nvar toObject = require('../internals/to-object');\nvar sharedKey = require('../internals/shared-key');\nvar CORRECT_PROTOTYPE_GETTER = require('../internals/correct-prototype-getter');\n\nvar IE_PROTO = sharedKey('IE_PROTO');\nvar ObjectPrototype = Object.prototype;\n\n// `Object.getPrototypeOf` method\n// https://tc39.es/ecma262/#sec-object.getprototypeof\n// eslint-disable-next-line es/no-object-getprototypeof -- safe\nmodule.exports = CORRECT_PROTOTYPE_GETTER ? Object.getPrototypeOf : function (O) {\n O = toObject(O);\n if (has(O, IE_PROTO)) return O[IE_PROTO];\n if (typeof O.constructor == 'function' && O instanceof O.constructor) {\n return O.constructor.prototype;\n } return O instanceof Object ? ObjectPrototype : null;\n};\n","var fails = require('../internals/fails');\n\nmodule.exports = !fails(function () {\n function F() { /* empty */ }\n F.prototype.constructor = null;\n // eslint-disable-next-line es/no-object-getprototypeof -- required for testing\n return Object.getPrototypeOf(new F()) !== F.prototype;\n});\n","'use strict';\nvar NATIVE_ARRAY_BUFFER = require('../internals/array-buffer-native');\nvar DESCRIPTORS = require('../internals/descriptors');\nvar global = require('../internals/global');\nvar isObject = require('../internals/is-object');\nvar has = require('../internals/has');\nvar classof = require('../internals/classof');\nvar createNonEnumerableProperty = require('../internals/create-non-enumerable-property');\nvar redefine = require('../internals/redefine');\nvar defineProperty = require('../internals/object-define-property').f;\nvar getPrototypeOf = require('../internals/object-get-prototype-of');\nvar setPrototypeOf = require('../internals/object-set-prototype-of');\nvar wellKnownSymbol = require('../internals/well-known-symbol');\nvar uid = require('../internals/uid');\n\nvar Int8Array = global.Int8Array;\nvar Int8ArrayPrototype = Int8Array && Int8Array.prototype;\nvar Uint8ClampedArray = global.Uint8ClampedArray;\nvar Uint8ClampedArrayPrototype = Uint8ClampedArray && Uint8ClampedArray.prototype;\nvar TypedArray = Int8Array && getPrototypeOf(Int8Array);\nvar TypedArrayPrototype = Int8ArrayPrototype && getPrototypeOf(Int8ArrayPrototype);\nvar ObjectPrototype = Object.prototype;\nvar isPrototypeOf = ObjectPrototype.isPrototypeOf;\n\nvar TO_STRING_TAG = wellKnownSymbol('toStringTag');\nvar TYPED_ARRAY_TAG = uid('TYPED_ARRAY_TAG');\nvar TYPED_ARRAY_CONSTRUCTOR = uid('TYPED_ARRAY_CONSTRUCTOR');\n// Fixing native typed arrays in Opera Presto crashes the browser, see #595\nvar NATIVE_ARRAY_BUFFER_VIEWS = NATIVE_ARRAY_BUFFER && !!setPrototypeOf && classof(global.opera) !== 'Opera';\nvar TYPED_ARRAY_TAG_REQIRED = false;\nvar NAME, Constructor, Prototype;\n\nvar TypedArrayConstructorsList = {\n Int8Array: 1,\n Uint8Array: 1,\n Uint8ClampedArray: 1,\n Int16Array: 2,\n Uint16Array: 2,\n Int32Array: 4,\n Uint32Array: 4,\n Float32Array: 4,\n Float64Array: 8\n};\n\nvar BigIntArrayConstructorsList = {\n BigInt64Array: 8,\n BigUint64Array: 8\n};\n\nvar isView = function isView(it) {\n if (!isObject(it)) return false;\n var klass = classof(it);\n return klass === 'DataView'\n || has(TypedArrayConstructorsList, klass)\n || has(BigIntArrayConstructorsList, klass);\n};\n\nvar isTypedArray = function (it) {\n if (!isObject(it)) return false;\n var klass = classof(it);\n return has(TypedArrayConstructorsList, klass)\n || has(BigIntArrayConstructorsList, klass);\n};\n\nvar aTypedArray = function (it) {\n if (isTypedArray(it)) return it;\n throw TypeError('Target is not a typed array');\n};\n\nvar aTypedArrayConstructor = function (C) {\n if (setPrototypeOf && !isPrototypeOf.call(TypedArray, C)) {\n throw TypeError('Target is not a typed array constructor');\n } return C;\n};\n\nvar exportTypedArrayMethod = function (KEY, property, forced) {\n if (!DESCRIPTORS) return;\n if (forced) for (var ARRAY in TypedArrayConstructorsList) {\n var TypedArrayConstructor = global[ARRAY];\n if (TypedArrayConstructor && has(TypedArrayConstructor.prototype, KEY)) try {\n delete TypedArrayConstructor.prototype[KEY];\n } catch (error) { /* empty */ }\n }\n if (!TypedArrayPrototype[KEY] || forced) {\n redefine(TypedArrayPrototype, KEY, forced ? property\n : NATIVE_ARRAY_BUFFER_VIEWS && Int8ArrayPrototype[KEY] || property);\n }\n};\n\nvar exportTypedArrayStaticMethod = function (KEY, property, forced) {\n var ARRAY, TypedArrayConstructor;\n if (!DESCRIPTORS) return;\n if (setPrototypeOf) {\n if (forced) for (ARRAY in TypedArrayConstructorsList) {\n TypedArrayConstructor = global[ARRAY];\n if (TypedArrayConstructor && has(TypedArrayConstructor, KEY)) try {\n delete TypedArrayConstructor[KEY];\n } catch (error) { /* empty */ }\n }\n if (!TypedArray[KEY] || forced) {\n // V8 ~ Chrome 49-50 `%TypedArray%` methods are non-writable non-configurable\n try {\n return redefine(TypedArray, KEY, forced ? property : NATIVE_ARRAY_BUFFER_VIEWS && TypedArray[KEY] || property);\n } catch (error) { /* empty */ }\n } else return;\n }\n for (ARRAY in TypedArrayConstructorsList) {\n TypedArrayConstructor = global[ARRAY];\n if (TypedArrayConstructor && (!TypedArrayConstructor[KEY] || forced)) {\n redefine(TypedArrayConstructor, KEY, property);\n }\n }\n};\n\nfor (NAME in TypedArrayConstructorsList) {\n Constructor = global[NAME];\n Prototype = Constructor && Constructor.prototype;\n if (Prototype) createNonEnumerableProperty(Prototype, TYPED_ARRAY_CONSTRUCTOR, Constructor);\n else NATIVE_ARRAY_BUFFER_VIEWS = false;\n}\n\nfor (NAME in BigIntArrayConstructorsList) {\n Constructor = global[NAME];\n Prototype = Constructor && Constructor.prototype;\n if (Prototype) createNonEnumerableProperty(Prototype, TYPED_ARRAY_CONSTRUCTOR, Constructor);\n}\n\n// WebKit bug - typed arrays constructors prototype is Object.prototype\nif (!NATIVE_ARRAY_BUFFER_VIEWS || typeof TypedArray != 'function' || TypedArray === Function.prototype) {\n // eslint-disable-next-line no-shadow -- safe\n TypedArray = function TypedArray() {\n throw TypeError('Incorrect invocation');\n };\n if (NATIVE_ARRAY_BUFFER_VIEWS) for (NAME in TypedArrayConstructorsList) {\n if (global[NAME]) setPrototypeOf(global[NAME], TypedArray);\n }\n}\n\nif (!NATIVE_ARRAY_BUFFER_VIEWS || !TypedArrayPrototype || TypedArrayPrototype === ObjectPrototype) {\n TypedArrayPrototype = TypedArray.prototype;\n if (NATIVE_ARRAY_BUFFER_VIEWS) for (NAME in TypedArrayConstructorsList) {\n if (global[NAME]) setPrototypeOf(global[NAME].prototype, TypedArrayPrototype);\n }\n}\n\n// WebKit bug - one more object in Uint8ClampedArray prototype chain\nif (NATIVE_ARRAY_BUFFER_VIEWS && getPrototypeOf(Uint8ClampedArrayPrototype) !== TypedArrayPrototype) {\n setPrototypeOf(Uint8ClampedArrayPrototype, TypedArrayPrototype);\n}\n\nif (DESCRIPTORS && !has(TypedArrayPrototype, TO_STRING_TAG)) {\n TYPED_ARRAY_TAG_REQIRED = true;\n defineProperty(TypedArrayPrototype, TO_STRING_TAG, { get: function () {\n return isObject(this) ? this[TYPED_ARRAY_TAG] : undefined;\n } });\n for (NAME in TypedArrayConstructorsList) if (global[NAME]) {\n createNonEnumerableProperty(global[NAME], TYPED_ARRAY_TAG, NAME);\n }\n}\n\nmodule.exports = {\n NATIVE_ARRAY_BUFFER_VIEWS: NATIVE_ARRAY_BUFFER_VIEWS,\n TYPED_ARRAY_CONSTRUCTOR: TYPED_ARRAY_CONSTRUCTOR,\n TYPED_ARRAY_TAG: TYPED_ARRAY_TAG_REQIRED && TYPED_ARRAY_TAG,\n aTypedArray: aTypedArray,\n aTypedArrayConstructor: aTypedArrayConstructor,\n exportTypedArrayMethod: exportTypedArrayMethod,\n exportTypedArrayStaticMethod: exportTypedArrayStaticMethod,\n isView: isView,\n isTypedArray: isTypedArray,\n TypedArray: TypedArray,\n TypedArrayPrototype: TypedArrayPrototype\n};\n","/*\r\n * Natural Sort algorithm for Javascript - Version 0.7 - Released under MIT license\r\n * Author: Jim Palmer (based on chunking idea from Dave Koelle)\r\n */\n\n/*jshint unused:false */\nmodule.exports = function naturalSort(a, b) {\n \"use strict\";\n\n var re = /(^([+\\-]?(?:0|[1-9]\\d*)(?:\\.\\d*)?(?:[eE][+\\-]?\\d+)?)?$|^0x[0-9a-f]+$|\\d+)/gi,\n sre = /(^[ ]*|[ ]*$)/g,\n dre = /(^([\\w ]+,?[\\w ]+)?[\\w ]+,?[\\w ]+\\d+:\\d+(:\\d+)?[\\w ]?|^\\d{1,4}[\\/\\-]\\d{1,4}[\\/\\-]\\d{1,4}|^\\w+, \\w+ \\d+, \\d{4})/,\n hre = /^0x[0-9a-f]+$/i,\n ore = /^0/,\n i = function i(s) {\n return naturalSort.insensitive && ('' + s).toLowerCase() || '' + s;\n },\n // convert all to strings strip whitespace\n x = i(a).replace(sre, '') || '',\n y = i(b).replace(sre, '') || '',\n // chunk/tokenize\n xN = x.replace(re, '\\0$1\\0').replace(/\\0$/, '').replace(/^\\0/, '').split('\\0'),\n yN = y.replace(re, '\\0$1\\0').replace(/\\0$/, '').replace(/^\\0/, '').split('\\0'),\n // numeric, hex or date detection\n xD = parseInt(x.match(hre), 16) || xN.length !== 1 && x.match(dre) && Date.parse(x),\n yD = parseInt(y.match(hre), 16) || xD && y.match(dre) && Date.parse(y) || null,\n oFxNcL,\n oFyNcL; // first try and sort Hex codes or Dates\n\n\n if (yD) {\n if (xD < yD) {\n return -1;\n } else if (xD > yD) {\n return 1;\n }\n } // natural sorting through split numeric strings and default strings\n\n\n for (var cLoc = 0, numS = Math.max(xN.length, yN.length); cLoc < numS; cLoc++) {\n // find floats not starting with '0', string or 0 if not defined (Clint Priest)\n oFxNcL = !(xN[cLoc] || '').match(ore) && parseFloat(xN[cLoc]) || xN[cLoc] || 0;\n oFyNcL = !(yN[cLoc] || '').match(ore) && parseFloat(yN[cLoc]) || yN[cLoc] || 0; // handle numeric vs string comparison - number < string - (Kyle Adams)\n\n if (isNaN(oFxNcL) !== isNaN(oFyNcL)) {\n return isNaN(oFxNcL) ? 1 : -1;\n } // rely on string comparison if different types - i.e. '02' < 2 != '02' < '2'\n else if (typeof oFxNcL !== typeof oFyNcL) {\n oFxNcL += '';\n oFyNcL += '';\n }\n\n if (oFxNcL < oFyNcL) {\n return -1;\n }\n\n if (oFxNcL > oFyNcL) {\n return 1;\n }\n }\n\n return 0;\n};","/**\n * @license Complex.js v2.0.12 11/02/2016\n *\n * Copyright (c) 2016, Robert Eisele (robert@xarg.org)\n * Dual licensed under the MIT or GPL Version 2 licenses.\n **/\n\n/**\n *\n * This class allows the manipulation of complex numbers.\n * You can pass a complex number in different formats. Either as object, double, string or two integer parameters.\n *\n * Object form\n * { re: , im: }\n * { arg: , abs: }\n * { phi: , r: }\n *\n * Array / Vector form\n * [ real, imaginary ]\n *\n * Double form\n * 99.3 - Single double value\n *\n * String form\n * '23.1337' - Simple real number\n * '15+3i' - a simple complex number\n * '3-i' - a simple complex number\n *\n * Example:\n *\n * var c = new Complex('99.3+8i');\n * c.mul({r: 3, i: 9}).div(4.9).sub(3, 2);\n *\n */\n(function (root) {\n 'use strict';\n\n var _cosh = function cosh(x) {\n return (Math.exp(x) + Math.exp(-x)) * 0.5;\n };\n\n var _sinh = function sinh(x) {\n return (Math.exp(x) - Math.exp(-x)) * 0.5;\n };\n /**\n * Calculates cos(x) - 1 using Taylor series if x is small.\n *\n * @param {number} x\n * @returns {number} cos(x) - 1\n */\n\n\n var cosm1 = function cosm1(x) {\n var limit = Math.PI / 4;\n\n if (x < -limit || x > limit) {\n return Math.cos(x) - 1.0;\n }\n\n var xx = x * x;\n return xx * (-0.5 + xx * (1 / 24 + xx * (-1 / 720 + xx * (1 / 40320 + xx * (-1 / 3628800 + xx * (1 / 4790014600 + xx * (-1 / 87178291200 + xx * (1 / 20922789888000))))))));\n };\n\n var hypot = function hypot(x, y) {\n var a = Math.abs(x);\n var b = Math.abs(y);\n\n if (a < 3000 && b < 3000) {\n return Math.sqrt(a * a + b * b);\n }\n\n if (a < b) {\n a = b;\n b = x / y;\n } else {\n b = y / x;\n }\n\n return a * Math.sqrt(1 + b * b);\n };\n\n var parser_exit = function parser_exit() {\n throw SyntaxError('Invalid Param');\n };\n /**\n * Calculates log(sqrt(a^2+b^2)) in a way to avoid overflows\n *\n * @param {number} a\n * @param {number} b\n * @returns {number}\n */\n\n\n function logHypot(a, b) {\n var _a = Math.abs(a);\n\n var _b = Math.abs(b);\n\n if (a === 0) {\n return Math.log(_b);\n }\n\n if (b === 0) {\n return Math.log(_a);\n }\n\n if (_a < 3000 && _b < 3000) {\n return Math.log(a * a + b * b) * 0.5;\n }\n /* I got 4 ideas to compute this property without overflow:\n *\n * Testing 1000000 times with random samples for a,b ∈ [1, 1000000000] against a big decimal library to get an error estimate\n *\n * 1. Only eliminate the square root: (OVERALL ERROR: 3.9122483030951116e-11)\n Math.log(a * a + b * b) / 2\n *\n *\n * 2. Try to use the non-overflowing pythagoras: (OVERALL ERROR: 8.889760039210159e-10)\n var fn = function(a, b) {\n a = Math.abs(a);\n b = Math.abs(b);\n var t = Math.min(a, b);\n a = Math.max(a, b);\n t = t / a;\n return Math.log(a) + Math.log(1 + t * t) / 2;\n };\n * 3. Abuse the identity cos(atan(y/x) = x / sqrt(x^2+y^2): (OVERALL ERROR: 3.4780178737037204e-10)\n Math.log(a / Math.cos(Math.atan2(b, a)))\n * 4. Use 3. and apply log rules: (OVERALL ERROR: 1.2014087502620896e-9)\n Math.log(a) - Math.log(Math.cos(Math.atan2(b, a)))\n */\n\n\n return Math.log(a / Math.cos(Math.atan2(b, a)));\n }\n\n var parse = function parse(a, b) {\n var z = {\n 're': 0,\n 'im': 0\n };\n\n if (a === undefined || a === null) {\n z['re'] = z['im'] = 0;\n } else if (b !== undefined) {\n z['re'] = a;\n z['im'] = b;\n } else switch (typeof a) {\n case 'object':\n if ('im' in a && 're' in a) {\n z['re'] = a['re'];\n z['im'] = a['im'];\n } else if ('abs' in a && 'arg' in a) {\n if (!Number.isFinite(a['abs']) && Number.isFinite(a['arg'])) {\n return Complex['INFINITY'];\n }\n\n z['re'] = a['abs'] * Math.cos(a['arg']);\n z['im'] = a['abs'] * Math.sin(a['arg']);\n } else if ('r' in a && 'phi' in a) {\n if (!Number.isFinite(a['r']) && Number.isFinite(a['phi'])) {\n return Complex['INFINITY'];\n }\n\n z['re'] = a['r'] * Math.cos(a['phi']);\n z['im'] = a['r'] * Math.sin(a['phi']);\n } else if (a.length === 2) {\n // Quick array check\n z['re'] = a[0];\n z['im'] = a[1];\n } else {\n parser_exit();\n }\n\n break;\n\n case 'string':\n z['im'] =\n /* void */\n z['re'] = 0;\n var tokens = a.match(/\\d+\\.?\\d*e[+-]?\\d+|\\d+\\.?\\d*|\\.\\d+|./g);\n var plus = 1;\n var minus = 0;\n\n if (tokens === null) {\n parser_exit();\n }\n\n for (var i = 0; i < tokens.length; i++) {\n var c = tokens[i];\n\n if (c === ' ' || c === '\\t' || c === '\\n') {\n /* void */\n } else if (c === '+') {\n plus++;\n } else if (c === '-') {\n minus++;\n } else if (c === 'i' || c === 'I') {\n if (plus + minus === 0) {\n parser_exit();\n }\n\n if (tokens[i + 1] !== ' ' && !isNaN(tokens[i + 1])) {\n z['im'] += parseFloat((minus % 2 ? '-' : '') + tokens[i + 1]);\n i++;\n } else {\n z['im'] += parseFloat((minus % 2 ? '-' : '') + '1');\n }\n\n plus = minus = 0;\n } else {\n if (plus + minus === 0 || isNaN(c)) {\n parser_exit();\n }\n\n if (tokens[i + 1] === 'i' || tokens[i + 1] === 'I') {\n z['im'] += parseFloat((minus % 2 ? '-' : '') + c);\n i++;\n } else {\n z['re'] += parseFloat((minus % 2 ? '-' : '') + c);\n }\n\n plus = minus = 0;\n }\n } // Still something on the stack\n\n\n if (plus + minus > 0) {\n parser_exit();\n }\n\n break;\n\n case 'number':\n z['im'] = 0;\n z['re'] = a;\n break;\n\n default:\n parser_exit();\n }\n\n if (isNaN(z['re']) || isNaN(z['im'])) {// If a calculation is NaN, we treat it as NaN and don't throw\n //parser_exit();\n }\n\n return z;\n };\n /**\n * @constructor\n * @returns {Complex}\n */\n\n\n function Complex(a, b) {\n if (!(this instanceof Complex)) {\n return new Complex(a, b);\n }\n\n var z = parse(a, b);\n this['re'] = z['re'];\n this['im'] = z['im'];\n }\n\n Complex.prototype = {\n 're': 0,\n 'im': 0,\n\n /**\n * Calculates the sign of a complex number, which is a normalized complex\n *\n * @returns {Complex}\n */\n 'sign': function sign() {\n var abs = this['abs']();\n return new Complex(this['re'] / abs, this['im'] / abs);\n },\n\n /**\n * Adds two complex numbers\n *\n * @returns {Complex}\n */\n 'add': function add(a, b) {\n var z = new Complex(a, b); // Infinity + Infinity = NaN\n\n if (this['isInfinite']() && z['isInfinite']()) {\n return Complex['NAN'];\n } // Infinity + z = Infinity { where z != Infinity }\n\n\n if (this['isInfinite']() || z['isInfinite']()) {\n return Complex['INFINITY'];\n }\n\n return new Complex(this['re'] + z['re'], this['im'] + z['im']);\n },\n\n /**\n * Subtracts two complex numbers\n *\n * @returns {Complex}\n */\n 'sub': function sub(a, b) {\n var z = new Complex(a, b); // Infinity - Infinity = NaN\n\n if (this['isInfinite']() && z['isInfinite']()) {\n return Complex['NAN'];\n } // Infinity - z = Infinity { where z != Infinity }\n\n\n if (this['isInfinite']() || z['isInfinite']()) {\n return Complex['INFINITY'];\n }\n\n return new Complex(this['re'] - z['re'], this['im'] - z['im']);\n },\n\n /**\n * Multiplies two complex numbers\n *\n * @returns {Complex}\n */\n 'mul': function mul(a, b) {\n var z = new Complex(a, b); // Infinity * 0 = NaN\n\n if (this['isInfinite']() && z['isZero']() || this['isZero']() && z['isInfinite']()) {\n return Complex['NAN'];\n } // Infinity * z = Infinity { where z != 0 }\n\n\n if (this['isInfinite']() || z['isInfinite']()) {\n return Complex['INFINITY'];\n } // Short circuit for real values\n\n\n if (z['im'] === 0 && this['im'] === 0) {\n return new Complex(this['re'] * z['re'], 0);\n }\n\n return new Complex(this['re'] * z['re'] - this['im'] * z['im'], this['re'] * z['im'] + this['im'] * z['re']);\n },\n\n /**\n * Divides two complex numbers\n *\n * @returns {Complex}\n */\n 'div': function div(a, b) {\n var z = new Complex(a, b); // 0 / 0 = NaN and Infinity / Infinity = NaN\n\n if (this['isZero']() && z['isZero']() || this['isInfinite']() && z['isInfinite']()) {\n return Complex['NAN'];\n } // Infinity / 0 = Infinity\n\n\n if (this['isInfinite']() || z['isZero']()) {\n return Complex['INFINITY'];\n } // 0 / Infinity = 0\n\n\n if (this['isZero']() || z['isInfinite']()) {\n return Complex['ZERO'];\n }\n\n a = this['re'];\n b = this['im'];\n var c = z['re'];\n var d = z['im'];\n var t, x;\n\n if (0 === d) {\n // Divisor is real\n return new Complex(a / c, b / c);\n }\n\n if (Math.abs(c) < Math.abs(d)) {\n x = c / d;\n t = c * x + d;\n return new Complex((a * x + b) / t, (b * x - a) / t);\n } else {\n x = d / c;\n t = d * x + c;\n return new Complex((a + b * x) / t, (b - a * x) / t);\n }\n },\n\n /**\n * Calculate the power of two complex numbers\n *\n * @returns {Complex}\n */\n 'pow': function pow(a, b) {\n var z = new Complex(a, b);\n a = this['re'];\n b = this['im'];\n\n if (z['isZero']()) {\n return Complex['ONE'];\n } // If the exponent is real\n\n\n if (z['im'] === 0) {\n if (b === 0) {\n return new Complex(Math.pow(a, z['re']), 0);\n } else if (a === 0) {\n // If base is fully imaginary\n switch ((z['re'] % 4 + 4) % 4) {\n case 0:\n return new Complex(Math.pow(b, z['re']), 0);\n\n case 1:\n return new Complex(0, Math.pow(b, z['re']));\n\n case 2:\n return new Complex(-Math.pow(b, z['re']), 0);\n\n case 3:\n return new Complex(0, -Math.pow(b, z['re']));\n }\n }\n }\n /* I couldn't find a good formula, so here is a derivation and optimization\n *\n * z_1^z_2 = (a + bi)^(c + di)\n * = exp((c + di) * log(a + bi)\n * = pow(a^2 + b^2, (c + di) / 2) * exp(i(c + di)atan2(b, a))\n * =>...\n * Re = (pow(a^2 + b^2, c / 2) * exp(-d * atan2(b, a))) * cos(d * log(a^2 + b^2) / 2 + c * atan2(b, a))\n * Im = (pow(a^2 + b^2, c / 2) * exp(-d * atan2(b, a))) * sin(d * log(a^2 + b^2) / 2 + c * atan2(b, a))\n *\n * =>...\n * Re = exp(c * log(sqrt(a^2 + b^2)) - d * atan2(b, a)) * cos(d * log(sqrt(a^2 + b^2)) + c * atan2(b, a))\n * Im = exp(c * log(sqrt(a^2 + b^2)) - d * atan2(b, a)) * sin(d * log(sqrt(a^2 + b^2)) + c * atan2(b, a))\n *\n * =>\n * Re = exp(c * logsq2 - d * arg(z_1)) * cos(d * logsq2 + c * arg(z_1))\n * Im = exp(c * logsq2 - d * arg(z_1)) * sin(d * logsq2 + c * arg(z_1))\n *\n */\n\n\n if (a === 0 && b === 0 && z['re'] > 0 && z['im'] >= 0) {\n return Complex['ZERO'];\n }\n\n var arg = Math.atan2(b, a);\n var loh = logHypot(a, b);\n a = Math.exp(z['re'] * loh - z['im'] * arg);\n b = z['im'] * loh + z['re'] * arg;\n return new Complex(a * Math.cos(b), a * Math.sin(b));\n },\n\n /**\n * Calculate the complex square root\n *\n * @returns {Complex}\n */\n 'sqrt': function sqrt() {\n var a = this['re'];\n var b = this['im'];\n var r = this['abs']();\n var re, im;\n\n if (a >= 0) {\n if (b === 0) {\n return new Complex(Math.sqrt(a), 0);\n }\n\n re = 0.5 * Math.sqrt(2.0 * (r + a));\n } else {\n re = Math.abs(b) / Math.sqrt(2 * (r - a));\n }\n\n if (a <= 0) {\n im = 0.5 * Math.sqrt(2.0 * (r - a));\n } else {\n im = Math.abs(b) / Math.sqrt(2 * (r + a));\n }\n\n return new Complex(re, b < 0 ? -im : im);\n },\n\n /**\n * Calculate the complex exponent\n *\n * @returns {Complex}\n */\n 'exp': function exp() {\n var tmp = Math.exp(this['re']);\n\n if (this['im'] === 0) {//return new Complex(tmp, 0);\n }\n\n return new Complex(tmp * Math.cos(this['im']), tmp * Math.sin(this['im']));\n },\n\n /**\n * Calculate the complex exponent and subtracts one.\n *\n * This may be more accurate than `Complex(x).exp().sub(1)` if\n * `x` is small.\n *\n * @returns {Complex}\n */\n 'expm1': function expm1() {\n /**\n * exp(a + i*b) - 1\n = exp(a) * (cos(b) + j*sin(b)) - 1\n = expm1(a)*cos(b) + cosm1(b) + j*exp(a)*sin(b)\n */\n var a = this['re'];\n var b = this['im'];\n return new Complex(Math.expm1(a) * Math.cos(b) + cosm1(b), Math.exp(a) * Math.sin(b));\n },\n\n /**\n * Calculate the natural log\n *\n * @returns {Complex}\n */\n 'log': function log() {\n var a = this['re'];\n var b = this['im'];\n\n if (b === 0 && a > 0) {//return new Complex(Math.log(a), 0);\n }\n\n return new Complex(logHypot(a, b), Math.atan2(b, a));\n },\n\n /**\n * Calculate the magnitude of the complex number\n *\n * @returns {number}\n */\n 'abs': function abs() {\n return hypot(this['re'], this['im']);\n },\n\n /**\n * Calculate the angle of the complex number\n *\n * @returns {number}\n */\n 'arg': function arg() {\n return Math.atan2(this['im'], this['re']);\n },\n\n /**\n * Calculate the sine of the complex number\n *\n * @returns {Complex}\n */\n 'sin': function sin() {\n // sin(c) = (e^b - e^(-b)) / (2i)\n var a = this['re'];\n var b = this['im'];\n return new Complex(Math.sin(a) * _cosh(b), Math.cos(a) * _sinh(b));\n },\n\n /**\n * Calculate the cosine\n *\n * @returns {Complex}\n */\n 'cos': function cos() {\n // cos(z) = (e^b + e^(-b)) / 2\n var a = this['re'];\n var b = this['im'];\n return new Complex(Math.cos(a) * _cosh(b), -Math.sin(a) * _sinh(b));\n },\n\n /**\n * Calculate the tangent\n *\n * @returns {Complex}\n */\n 'tan': function tan() {\n // tan(c) = (e^(ci) - e^(-ci)) / (i(e^(ci) + e^(-ci)))\n var a = 2 * this['re'];\n var b = 2 * this['im'];\n\n var d = Math.cos(a) + _cosh(b);\n\n return new Complex(Math.sin(a) / d, _sinh(b) / d);\n },\n\n /**\n * Calculate the cotangent\n *\n * @returns {Complex}\n */\n 'cot': function cot() {\n // cot(c) = i(e^(ci) + e^(-ci)) / (e^(ci) - e^(-ci))\n var a = 2 * this['re'];\n var b = 2 * this['im'];\n\n var d = Math.cos(a) - _cosh(b);\n\n return new Complex(-Math.sin(a) / d, _sinh(b) / d);\n },\n\n /**\n * Calculate the secant\n *\n * @returns {Complex}\n */\n 'sec': function sec() {\n // sec(c) = 2 / (e^(ci) + e^(-ci))\n var a = this['re'];\n var b = this['im'];\n var d = 0.5 * _cosh(2 * b) + 0.5 * Math.cos(2 * a);\n return new Complex(Math.cos(a) * _cosh(b) / d, Math.sin(a) * _sinh(b) / d);\n },\n\n /**\n * Calculate the cosecans\n *\n * @returns {Complex}\n */\n 'csc': function csc() {\n // csc(c) = 2i / (e^(ci) - e^(-ci))\n var a = this['re'];\n var b = this['im'];\n var d = 0.5 * _cosh(2 * b) - 0.5 * Math.cos(2 * a);\n return new Complex(Math.sin(a) * _cosh(b) / d, -Math.cos(a) * _sinh(b) / d);\n },\n\n /**\n * Calculate the complex arcus sinus\n *\n * @returns {Complex}\n */\n 'asin': function asin() {\n // asin(c) = -i * log(ci + sqrt(1 - c^2))\n var a = this['re'];\n var b = this['im'];\n var t1 = new Complex(b * b - a * a + 1, -2 * a * b)['sqrt']();\n var t2 = new Complex(t1['re'] - b, t1['im'] + a)['log']();\n return new Complex(t2['im'], -t2['re']);\n },\n\n /**\n * Calculate the complex arcus cosinus\n *\n * @returns {Complex}\n */\n 'acos': function acos() {\n // acos(c) = i * log(c - i * sqrt(1 - c^2))\n var a = this['re'];\n var b = this['im'];\n var t1 = new Complex(b * b - a * a + 1, -2 * a * b)['sqrt']();\n var t2 = new Complex(t1['re'] - b, t1['im'] + a)['log']();\n return new Complex(Math.PI / 2 - t2['im'], t2['re']);\n },\n\n /**\n * Calculate the complex arcus tangent\n *\n * @returns {Complex}\n */\n 'atan': function atan() {\n // atan(c) = i / 2 log((i + x) / (i - x))\n var a = this['re'];\n var b = this['im'];\n\n if (a === 0) {\n if (b === 1) {\n return new Complex(0, Infinity);\n }\n\n if (b === -1) {\n return new Complex(0, -Infinity);\n }\n }\n\n var d = a * a + (1.0 - b) * (1.0 - b);\n var t1 = new Complex((1 - b * b - a * a) / d, -2 * a / d).log();\n return new Complex(-0.5 * t1['im'], 0.5 * t1['re']);\n },\n\n /**\n * Calculate the complex arcus cotangent\n *\n * @returns {Complex}\n */\n 'acot': function acot() {\n // acot(c) = i / 2 log((c - i) / (c + i))\n var a = this['re'];\n var b = this['im'];\n\n if (b === 0) {\n return new Complex(Math.atan2(1, a), 0);\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).atan() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).atan();\n },\n\n /**\n * Calculate the complex arcus secant\n *\n * @returns {Complex}\n */\n 'asec': function asec() {\n // asec(c) = -i * log(1 / c + sqrt(1 - i / c^2))\n var a = this['re'];\n var b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(0, Infinity);\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).acos() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).acos();\n },\n\n /**\n * Calculate the complex arcus cosecans\n *\n * @returns {Complex}\n */\n 'acsc': function acsc() {\n // acsc(c) = -i * log(i / c + sqrt(1 - 1 / c^2))\n var a = this['re'];\n var b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(Math.PI / 2, Infinity);\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).asin() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).asin();\n },\n\n /**\n * Calculate the complex sinh\n *\n * @returns {Complex}\n */\n 'sinh': function sinh() {\n // sinh(c) = (e^c - e^-c) / 2\n var a = this['re'];\n var b = this['im'];\n return new Complex(_sinh(a) * Math.cos(b), _cosh(a) * Math.sin(b));\n },\n\n /**\n * Calculate the complex cosh\n *\n * @returns {Complex}\n */\n 'cosh': function cosh() {\n // cosh(c) = (e^c + e^-c) / 2\n var a = this['re'];\n var b = this['im'];\n return new Complex(_cosh(a) * Math.cos(b), _sinh(a) * Math.sin(b));\n },\n\n /**\n * Calculate the complex tanh\n *\n * @returns {Complex}\n */\n 'tanh': function tanh() {\n // tanh(c) = (e^c - e^-c) / (e^c + e^-c)\n var a = 2 * this['re'];\n var b = 2 * this['im'];\n var d = _cosh(a) + Math.cos(b);\n return new Complex(_sinh(a) / d, Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex coth\n *\n * @returns {Complex}\n */\n 'coth': function coth() {\n // coth(c) = (e^c + e^-c) / (e^c - e^-c)\n var a = 2 * this['re'];\n var b = 2 * this['im'];\n var d = _cosh(a) - Math.cos(b);\n return new Complex(_sinh(a) / d, -Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex coth\n *\n * @returns {Complex}\n */\n 'csch': function csch() {\n // csch(c) = 2 / (e^c - e^-c)\n var a = this['re'];\n var b = this['im'];\n\n var d = Math.cos(2 * b) - _cosh(2 * a);\n\n return new Complex(-2 * _sinh(a) * Math.cos(b) / d, 2 * _cosh(a) * Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex sech\n *\n * @returns {Complex}\n */\n 'sech': function sech() {\n // sech(c) = 2 / (e^c + e^-c)\n var a = this['re'];\n var b = this['im'];\n\n var d = Math.cos(2 * b) + _cosh(2 * a);\n\n return new Complex(2 * _cosh(a) * Math.cos(b) / d, -2 * _sinh(a) * Math.sin(b) / d);\n },\n\n /**\n * Calculate the complex asinh\n *\n * @returns {Complex}\n */\n 'asinh': function asinh() {\n // asinh(c) = log(c + sqrt(c^2 + 1))\n var tmp = this['im'];\n this['im'] = -this['re'];\n this['re'] = tmp;\n var res = this['asin']();\n this['re'] = -this['im'];\n this['im'] = tmp;\n tmp = res['re'];\n res['re'] = -res['im'];\n res['im'] = tmp;\n return res;\n },\n\n /**\n * Calculate the complex acosh\n *\n * @returns {Complex}\n */\n 'acosh': function acosh() {\n // acosh(c) = log(c + sqrt(c^2 - 1))\n var res = this['acos']();\n\n if (res['im'] <= 0) {\n var tmp = res['re'];\n res['re'] = -res['im'];\n res['im'] = tmp;\n } else {\n var tmp = res['im'];\n res['im'] = -res['re'];\n res['re'] = tmp;\n }\n\n return res;\n },\n\n /**\n * Calculate the complex atanh\n *\n * @returns {Complex}\n */\n 'atanh': function atanh() {\n // atanh(c) = log((1+c) / (1-c)) / 2\n var a = this['re'];\n var b = this['im'];\n var noIM = a > 1 && b === 0;\n var oneMinus = 1 - a;\n var onePlus = 1 + a;\n var d = oneMinus * oneMinus + b * b;\n var x = d !== 0 ? new Complex((onePlus * oneMinus - b * b) / d, (b * oneMinus + onePlus * b) / d) : new Complex(a !== -1 ? a / 0 : 0, b !== 0 ? b / 0 : 0);\n var temp = x['re'];\n x['re'] = logHypot(x['re'], x['im']) / 2;\n x['im'] = Math.atan2(x['im'], temp) / 2;\n\n if (noIM) {\n x['im'] = -x['im'];\n }\n\n return x;\n },\n\n /**\n * Calculate the complex acoth\n *\n * @returns {Complex}\n */\n 'acoth': function acoth() {\n // acoth(c) = log((c+1) / (c-1)) / 2\n var a = this['re'];\n var b = this['im'];\n\n if (a === 0 && b === 0) {\n return new Complex(0, Math.PI / 2);\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).atanh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).atanh();\n },\n\n /**\n * Calculate the complex acsch\n *\n * @returns {Complex}\n */\n 'acsch': function acsch() {\n // acsch(c) = log((1+sqrt(1+c^2))/c)\n var a = this['re'];\n var b = this['im'];\n\n if (b === 0) {\n return new Complex(a !== 0 ? Math.log(a + Math.sqrt(a * a + 1)) : Infinity, 0);\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).asinh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).asinh();\n },\n\n /**\n * Calculate the complex asech\n *\n * @returns {Complex}\n */\n 'asech': function asech() {\n // asech(c) = log((1+sqrt(1-c^2))/c)\n var a = this['re'];\n var b = this['im'];\n\n if (this['isZero']()) {\n return Complex['INFINITY'];\n }\n\n var d = a * a + b * b;\n return d !== 0 ? new Complex(a / d, -b / d).acosh() : new Complex(a !== 0 ? a / 0 : 0, b !== 0 ? -b / 0 : 0).acosh();\n },\n\n /**\n * Calculate the complex inverse 1/z\n *\n * @returns {Complex}\n */\n 'inverse': function inverse() {\n // 1 / 0 = Infinity and 1 / Infinity = 0\n if (this['isZero']()) {\n return Complex['INFINITY'];\n }\n\n if (this['isInfinite']()) {\n return Complex['ZERO'];\n }\n\n var a = this['re'];\n var b = this['im'];\n var d = a * a + b * b;\n return new Complex(a / d, -b / d);\n },\n\n /**\n * Returns the complex conjugate\n *\n * @returns {Complex}\n */\n 'conjugate': function conjugate() {\n return new Complex(this['re'], -this['im']);\n },\n\n /**\n * Gets the negated complex number\n *\n * @returns {Complex}\n */\n 'neg': function neg() {\n return new Complex(-this['re'], -this['im']);\n },\n\n /**\n * Ceils the actual complex number\n *\n * @returns {Complex}\n */\n 'ceil': function ceil(places) {\n places = Math.pow(10, places || 0);\n return new Complex(Math.ceil(this['re'] * places) / places, Math.ceil(this['im'] * places) / places);\n },\n\n /**\n * Floors the actual complex number\n *\n * @returns {Complex}\n */\n 'floor': function floor(places) {\n places = Math.pow(10, places || 0);\n return new Complex(Math.floor(this['re'] * places) / places, Math.floor(this['im'] * places) / places);\n },\n\n /**\n * Ceils the actual complex number\n *\n * @returns {Complex}\n */\n 'round': function round(places) {\n places = Math.pow(10, places || 0);\n return new Complex(Math.round(this['re'] * places) / places, Math.round(this['im'] * places) / places);\n },\n\n /**\n * Compares two complex numbers\n *\n * **Note:** new Complex(Infinity).equals(Infinity) === false\n *\n * @returns {boolean}\n */\n 'equals': function equals(a, b) {\n var z = new Complex(a, b);\n return Math.abs(z['re'] - this['re']) <= Complex['EPSILON'] && Math.abs(z['im'] - this['im']) <= Complex['EPSILON'];\n },\n\n /**\n * Clones the actual object\n *\n * @returns {Complex}\n */\n 'clone': function clone() {\n return new Complex(this['re'], this['im']);\n },\n\n /**\n * Gets a string of the actual complex number\n *\n * @returns {string}\n */\n 'toString': function toString() {\n var a = this['re'];\n var b = this['im'];\n var ret = \"\";\n\n if (this['isNaN']()) {\n return 'NaN';\n }\n\n if (this['isInfinite']()) {\n return 'Infinity';\n } // If is real number\n\n\n if (b === 0) {\n return ret + a;\n }\n\n if (a !== 0) {\n ret += a;\n ret += \" \";\n\n if (b < 0) {\n b = -b;\n ret += \"-\";\n } else {\n ret += \"+\";\n }\n\n ret += \" \";\n } else if (b < 0) {\n b = -b;\n ret += \"-\";\n }\n\n if (1 !== b) {\n // b is the absolute imaginary part\n ret += b;\n }\n\n return ret + \"i\";\n },\n\n /**\n * Returns the actual number as a vector\n *\n * @returns {Array}\n */\n 'toVector': function toVector() {\n return [this['re'], this['im']];\n },\n\n /**\n * Returns the actual real value of the current object\n *\n * @returns {number|null}\n */\n 'valueOf': function valueOf() {\n if (this['im'] === 0) {\n return this['re'];\n }\n\n return null;\n },\n\n /**\n * Determines whether a complex number is not on the Riemann sphere.\n *\n * @returns {boolean}\n */\n 'isNaN': function (_isNaN) {\n function isNaN() {\n return _isNaN.apply(this, arguments);\n }\n\n isNaN.toString = function () {\n return _isNaN.toString();\n };\n\n return isNaN;\n }(function () {\n return isNaN(this['re']) || isNaN(this['im']);\n }),\n\n /**\n * Determines whether or not a complex number is at the zero pole of the\n * Riemann sphere.\n *\n * @returns {boolean}\n */\n 'isZero': function isZero() {\n return this['im'] === 0 && this['re'] === 0;\n },\n\n /**\n * Determines whether a complex number is not at the infinity pole of the\n * Riemann sphere.\n *\n * @returns {boolean}\n */\n 'isFinite': function (_isFinite) {\n function isFinite() {\n return _isFinite.apply(this, arguments);\n }\n\n isFinite.toString = function () {\n return _isFinite.toString();\n };\n\n return isFinite;\n }(function () {\n return isFinite(this['re']) && isFinite(this['im']);\n }),\n\n /**\n * Determines whether or not a complex number is at the infinity pole of the\n * Riemann sphere.\n *\n * @returns {boolean}\n */\n 'isInfinite': function isInfinite() {\n return !(this['isNaN']() || this['isFinite']());\n }\n };\n Complex['ZERO'] = new Complex(0, 0);\n Complex['ONE'] = new Complex(1, 0);\n Complex['I'] = new Complex(0, 1);\n Complex['PI'] = new Complex(Math.PI, 0);\n Complex['E'] = new Complex(Math.E, 0);\n Complex['INFINITY'] = new Complex(Infinity, Infinity);\n Complex['NAN'] = new Complex(NaN, NaN);\n Complex['EPSILON'] = 1e-16;\n\n if (typeof define === 'function' && define['amd']) {\n define([], function () {\n return Complex;\n });\n } else if (typeof exports === 'object') {\n Object.defineProperty(Complex, \"__esModule\", {\n 'value': true\n });\n Complex['default'] = Complex;\n Complex['Complex'] = Complex;\n module['exports'] = Complex;\n } else {\n root['Complex'] = Complex;\n }\n})(this);","var TO_STRING_TAG_SUPPORT = require('../internals/to-string-tag-support');\nvar classofRaw = require('../internals/classof-raw');\nvar wellKnownSymbol = require('../internals/well-known-symbol');\n\nvar TO_STRING_TAG = wellKnownSymbol('toStringTag');\n// ES3 wrong here\nvar CORRECT_ARGUMENTS = classofRaw(function () { return arguments; }()) == 'Arguments';\n\n// fallback for IE11 Script Access Denied error\nvar tryGet = function (it, key) {\n try {\n return it[key];\n } catch (error) { /* empty */ }\n};\n\n// getting tag from ES6+ `Object.prototype.toString`\nmodule.exports = TO_STRING_TAG_SUPPORT ? classofRaw : function (it) {\n var O, tag, result;\n return it === undefined ? 'Undefined' : it === null ? 'Null'\n // @@toStringTag case\n : typeof (tag = tryGet(O = Object(it), TO_STRING_TAG)) == 'string' ? tag\n // builtinTag case\n : CORRECT_ARGUMENTS ? classofRaw(O)\n // ES3 arguments fallback\n : (result = classofRaw(O)) == 'Object' && typeof O.callee == 'function' ? 'Arguments' : result;\n};\n","var wellKnownSymbol = require('../internals/well-known-symbol');\n\nvar TO_STRING_TAG = wellKnownSymbol('toStringTag');\nvar test = {};\n\ntest[TO_STRING_TAG] = 'z';\n\nmodule.exports = String(test) === '[object z]';\n","module.exports = function() {\n\tthrow new Error(\"define cannot be used indirect\");\n};\n","// A port of an algorithm by Johannes Baagøe , 2010\n// http://baagoe.com/en/RandomMusings/javascript/\n// https://github.com/nquinlan/better-random-numbers-for-javascript-mirror\n// Original work is under MIT license -\n// Copyright (C) 2010 by Johannes Baagøe \n//\n// Permission is hereby granted, free of charge, to any person obtaining a copy\n// of this software and associated documentation files (the \"Software\"), to deal\n// in the Software without restriction, including without limitation the rights\n// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell\n// copies of the Software, and to permit persons to whom the Software is\n// furnished to do so, subject to the following conditions:\n//\n// The above copyright notice and this permission notice shall be included in\n// all copies or substantial portions of the Software.\n//\n// THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\n// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\n// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\n// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\n// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\n// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN\n// THE SOFTWARE.\n(function (global, module, define) {\n function Alea(seed) {\n var me = this,\n mash = Mash();\n\n me.next = function () {\n var t = 2091639 * me.s0 + me.c * 2.3283064365386963e-10; // 2^-32\n\n me.s0 = me.s1;\n me.s1 = me.s2;\n return me.s2 = t - (me.c = t | 0);\n }; // Apply the seeding algorithm from Baagoe.\n\n\n me.c = 1;\n me.s0 = mash(' ');\n me.s1 = mash(' ');\n me.s2 = mash(' ');\n me.s0 -= mash(seed);\n\n if (me.s0 < 0) {\n me.s0 += 1;\n }\n\n me.s1 -= mash(seed);\n\n if (me.s1 < 0) {\n me.s1 += 1;\n }\n\n me.s2 -= mash(seed);\n\n if (me.s2 < 0) {\n me.s2 += 1;\n }\n\n mash = null;\n }\n\n function copy(f, t) {\n t.c = f.c;\n t.s0 = f.s0;\n t.s1 = f.s1;\n t.s2 = f.s2;\n return t;\n }\n\n function impl(seed, opts) {\n var xg = new Alea(seed),\n state = opts && opts.state,\n prng = xg.next;\n\n prng.int32 = function () {\n return xg.next() * 0x100000000 | 0;\n };\n\n prng.double = function () {\n return prng() + (prng() * 0x200000 | 0) * 1.1102230246251565e-16; // 2^-53\n };\n\n prng.quick = prng;\n\n if (state) {\n if (typeof state == 'object') copy(state, xg);\n\n prng.state = function () {\n return copy(xg, {});\n };\n }\n\n return prng;\n }\n\n function Mash() {\n var n = 0xefc8249d;\n\n var mash = function mash(data) {\n data = String(data);\n\n for (var i = 0; i < data.length; i++) {\n n += data.charCodeAt(i);\n var h = 0.02519603282416938 * n;\n n = h >>> 0;\n h -= n;\n h *= n;\n n = h >>> 0;\n h -= n;\n n += h * 0x100000000; // 2^32\n }\n\n return (n >>> 0) * 2.3283064365386963e-10; // 2^-32\n };\n\n return mash;\n }\n\n if (module && module.exports) {\n module.exports = impl;\n } else if (define && define.amd) {\n define(function () {\n return impl;\n });\n } else {\n this.alea = impl;\n }\n})(this, typeof module == 'object' && module, // present in node.js\ntypeof define == 'function' && define // present with an AMD loader\n);","'use strict';\n\nrequire(\"core-js/modules/es.typed-array.sort.js\");\n\nexports.byteLength = byteLength;\nexports.toByteArray = toByteArray;\nexports.fromByteArray = fromByteArray;\nvar lookup = [];\nvar revLookup = [];\nvar Arr = typeof Uint8Array !== 'undefined' ? Uint8Array : Array;\nvar code = 'ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';\n\nfor (var i = 0, len = code.length; i < len; ++i) {\n lookup[i] = code[i];\n revLookup[code.charCodeAt(i)] = i;\n} // Support decoding URL-safe base64 strings, as Node.js does.\n// See: https://en.wikipedia.org/wiki/Base64#URL_applications\n\n\nrevLookup['-'.charCodeAt(0)] = 62;\nrevLookup['_'.charCodeAt(0)] = 63;\n\nfunction getLens(b64) {\n var len = b64.length;\n\n if (len % 4 > 0) {\n throw new Error('Invalid string. Length must be a multiple of 4');\n } // Trim off extra bytes after placeholder bytes are found\n // See: https://github.com/beatgammit/base64-js/issues/42\n\n\n var validLen = b64.indexOf('=');\n if (validLen === -1) validLen = len;\n var placeHoldersLen = validLen === len ? 0 : 4 - validLen % 4;\n return [validLen, placeHoldersLen];\n} // base64 is 4/3 + up to two characters of the original data\n\n\nfunction byteLength(b64) {\n var lens = getLens(b64);\n var validLen = lens[0];\n var placeHoldersLen = lens[1];\n return (validLen + placeHoldersLen) * 3 / 4 - placeHoldersLen;\n}\n\nfunction _byteLength(b64, validLen, placeHoldersLen) {\n return (validLen + placeHoldersLen) * 3 / 4 - placeHoldersLen;\n}\n\nfunction toByteArray(b64) {\n var tmp;\n var lens = getLens(b64);\n var validLen = lens[0];\n var placeHoldersLen = lens[1];\n var arr = new Arr(_byteLength(b64, validLen, placeHoldersLen));\n var curByte = 0; // if there are placeholders, only get up to the last complete 4 chars\n\n var len = placeHoldersLen > 0 ? validLen - 4 : validLen;\n var i;\n\n for (i = 0; i < len; i += 4) {\n tmp = revLookup[b64.charCodeAt(i)] << 18 | revLookup[b64.charCodeAt(i + 1)] << 12 | revLookup[b64.charCodeAt(i + 2)] << 6 | revLookup[b64.charCodeAt(i + 3)];\n arr[curByte++] = tmp >> 16 & 0xFF;\n arr[curByte++] = tmp >> 8 & 0xFF;\n arr[curByte++] = tmp & 0xFF;\n }\n\n if (placeHoldersLen === 2) {\n tmp = revLookup[b64.charCodeAt(i)] << 2 | revLookup[b64.charCodeAt(i + 1)] >> 4;\n arr[curByte++] = tmp & 0xFF;\n }\n\n if (placeHoldersLen === 1) {\n tmp = revLookup[b64.charCodeAt(i)] << 10 | revLookup[b64.charCodeAt(i + 1)] << 4 | revLookup[b64.charCodeAt(i + 2)] >> 2;\n arr[curByte++] = tmp >> 8 & 0xFF;\n arr[curByte++] = tmp & 0xFF;\n }\n\n return arr;\n}\n\nfunction tripletToBase64(num) {\n return lookup[num >> 18 & 0x3F] + lookup[num >> 12 & 0x3F] + lookup[num >> 6 & 0x3F] + lookup[num & 0x3F];\n}\n\nfunction encodeChunk(uint8, start, end) {\n var tmp;\n var output = [];\n\n for (var i = start; i < end; i += 3) {\n tmp = (uint8[i] << 16 & 0xFF0000) + (uint8[i + 1] << 8 & 0xFF00) + (uint8[i + 2] & 0xFF);\n output.push(tripletToBase64(tmp));\n }\n\n return output.join('');\n}\n\nfunction fromByteArray(uint8) {\n var tmp;\n var len = uint8.length;\n var extraBytes = len % 3; // if we have 1 byte left, pad 2 bytes\n\n var parts = [];\n var maxChunkLength = 16383; // must be multiple of 3\n // go through the array every three bytes, we'll deal with trailing stuff later\n\n for (var i = 0, len2 = len - extraBytes; i < len2; i += maxChunkLength) {\n parts.push(encodeChunk(uint8, i, i + maxChunkLength > len2 ? len2 : i + maxChunkLength));\n } // pad the end with zeros, but make sure to not forget the extra bytes\n\n\n if (extraBytes === 1) {\n tmp = uint8[len - 1];\n parts.push(lookup[tmp >> 2] + lookup[tmp << 4 & 0x3F] + '==');\n } else if (extraBytes === 2) {\n tmp = (uint8[len - 2] << 8) + uint8[len - 1];\n parts.push(lookup[tmp >> 10] + lookup[tmp >> 4 & 0x3F] + lookup[tmp << 2 & 0x3F] + '=');\n }\n\n return parts.join('');\n}","/*!\n * The buffer module from node.js, for the browser.\n *\n * @author Feross Aboukhadijeh \n * @license MIT\n */\n\n/* eslint-disable no-proto */\n'use strict';\n\nrequire(\"core-js/modules/es.typed-array.sort.js\");\n\nvar base64 = require('base64-js');\n\nvar ieee754 = require('ieee754');\n\nvar isArray = require('isarray');\n\nexports.Buffer = Buffer;\nexports.SlowBuffer = SlowBuffer;\nexports.INSPECT_MAX_BYTES = 50;\n/**\n * If `Buffer.TYPED_ARRAY_SUPPORT`:\n * === true Use Uint8Array implementation (fastest)\n * === false Use Object implementation (most compatible, even IE6)\n *\n * Browsers that support typed arrays are IE 10+, Firefox 4+, Chrome 7+, Safari 5.1+,\n * Opera 11.6+, iOS 4.2+.\n *\n * Due to various browser bugs, sometimes the Object implementation will be used even\n * when the browser supports typed arrays.\n *\n * Note:\n *\n * - Firefox 4-29 lacks support for adding new properties to `Uint8Array` instances,\n * See: https://bugzilla.mozilla.org/show_bug.cgi?id=695438.\n *\n * - Chrome 9-10 is missing the `TypedArray.prototype.subarray` function.\n *\n * - IE10 has a broken `TypedArray.prototype.subarray` function which returns arrays of\n * incorrect length in some situations.\n\n * We detect these buggy browsers and set `Buffer.TYPED_ARRAY_SUPPORT` to `false` so they\n * get the Object implementation, which is slower but behaves correctly.\n */\n\nBuffer.TYPED_ARRAY_SUPPORT = global.TYPED_ARRAY_SUPPORT !== undefined ? global.TYPED_ARRAY_SUPPORT : typedArraySupport();\n/*\n * Export kMaxLength after typed array support is determined.\n */\n\nexports.kMaxLength = kMaxLength();\n\nfunction typedArraySupport() {\n try {\n var arr = new Uint8Array(1);\n arr.__proto__ = {\n __proto__: Uint8Array.prototype,\n foo: function foo() {\n return 42;\n }\n };\n return arr.foo() === 42 && // typed array instances can be augmented\n typeof arr.subarray === 'function' && // chrome 9-10 lack `subarray`\n arr.subarray(1, 1).byteLength === 0; // ie10 has broken `subarray`\n } catch (e) {\n return false;\n }\n}\n\nfunction kMaxLength() {\n return Buffer.TYPED_ARRAY_SUPPORT ? 0x7fffffff : 0x3fffffff;\n}\n\nfunction createBuffer(that, length) {\n if (kMaxLength() < length) {\n throw new RangeError('Invalid typed array length');\n }\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = new Uint8Array(length);\n that.__proto__ = Buffer.prototype;\n } else {\n // Fallback: Return an object instance of the Buffer class\n if (that === null) {\n that = new Buffer(length);\n }\n\n that.length = length;\n }\n\n return that;\n}\n/**\n * The Buffer constructor returns instances of `Uint8Array` that have their\n * prototype changed to `Buffer.prototype`. Furthermore, `Buffer` is a subclass of\n * `Uint8Array`, so the returned instances will have all the node `Buffer` methods\n * and the `Uint8Array` methods. Square bracket notation works as expected -- it\n * returns a single octet.\n *\n * The `Uint8Array` prototype remains unmodified.\n */\n\n\nfunction Buffer(arg, encodingOrOffset, length) {\n if (!Buffer.TYPED_ARRAY_SUPPORT && !(this instanceof Buffer)) {\n return new Buffer(arg, encodingOrOffset, length);\n } // Common case.\n\n\n if (typeof arg === 'number') {\n if (typeof encodingOrOffset === 'string') {\n throw new Error('If encoding is specified then the first argument must be a string');\n }\n\n return allocUnsafe(this, arg);\n }\n\n return from(this, arg, encodingOrOffset, length);\n}\n\nBuffer.poolSize = 8192; // not used by this implementation\n// TODO: Legacy, not needed anymore. Remove in next major version.\n\nBuffer._augment = function (arr) {\n arr.__proto__ = Buffer.prototype;\n return arr;\n};\n\nfunction from(that, value, encodingOrOffset, length) {\n if (typeof value === 'number') {\n throw new TypeError('\"value\" argument must not be a number');\n }\n\n if (typeof ArrayBuffer !== 'undefined' && value instanceof ArrayBuffer) {\n return fromArrayBuffer(that, value, encodingOrOffset, length);\n }\n\n if (typeof value === 'string') {\n return fromString(that, value, encodingOrOffset);\n }\n\n return fromObject(that, value);\n}\n/**\n * Functionally equivalent to Buffer(arg, encoding) but throws a TypeError\n * if value is a number.\n * Buffer.from(str[, encoding])\n * Buffer.from(array)\n * Buffer.from(buffer)\n * Buffer.from(arrayBuffer[, byteOffset[, length]])\n **/\n\n\nBuffer.from = function (value, encodingOrOffset, length) {\n return from(null, value, encodingOrOffset, length);\n};\n\nif (Buffer.TYPED_ARRAY_SUPPORT) {\n Buffer.prototype.__proto__ = Uint8Array.prototype;\n Buffer.__proto__ = Uint8Array;\n\n if (typeof Symbol !== 'undefined' && Symbol.species && Buffer[Symbol.species] === Buffer) {\n // Fix subarray() in ES2016. See: https://github.com/feross/buffer/pull/97\n Object.defineProperty(Buffer, Symbol.species, {\n value: null,\n configurable: true\n });\n }\n}\n\nfunction assertSize(size) {\n if (typeof size !== 'number') {\n throw new TypeError('\"size\" argument must be a number');\n } else if (size < 0) {\n throw new RangeError('\"size\" argument must not be negative');\n }\n}\n\nfunction alloc(that, size, fill, encoding) {\n assertSize(size);\n\n if (size <= 0) {\n return createBuffer(that, size);\n }\n\n if (fill !== undefined) {\n // Only pay attention to encoding if it's a string. This\n // prevents accidentally sending in a number that would\n // be interpretted as a start offset.\n return typeof encoding === 'string' ? createBuffer(that, size).fill(fill, encoding) : createBuffer(that, size).fill(fill);\n }\n\n return createBuffer(that, size);\n}\n/**\n * Creates a new filled Buffer instance.\n * alloc(size[, fill[, encoding]])\n **/\n\n\nBuffer.alloc = function (size, fill, encoding) {\n return alloc(null, size, fill, encoding);\n};\n\nfunction allocUnsafe(that, size) {\n assertSize(size);\n that = createBuffer(that, size < 0 ? 0 : checked(size) | 0);\n\n if (!Buffer.TYPED_ARRAY_SUPPORT) {\n for (var i = 0; i < size; ++i) {\n that[i] = 0;\n }\n }\n\n return that;\n}\n/**\n * Equivalent to Buffer(num), by default creates a non-zero-filled Buffer instance.\n * */\n\n\nBuffer.allocUnsafe = function (size) {\n return allocUnsafe(null, size);\n};\n/**\n * Equivalent to SlowBuffer(num), by default creates a non-zero-filled Buffer instance.\n */\n\n\nBuffer.allocUnsafeSlow = function (size) {\n return allocUnsafe(null, size);\n};\n\nfunction fromString(that, string, encoding) {\n if (typeof encoding !== 'string' || encoding === '') {\n encoding = 'utf8';\n }\n\n if (!Buffer.isEncoding(encoding)) {\n throw new TypeError('\"encoding\" must be a valid string encoding');\n }\n\n var length = byteLength(string, encoding) | 0;\n that = createBuffer(that, length);\n var actual = that.write(string, encoding);\n\n if (actual !== length) {\n // Writing a hex string, for example, that contains invalid characters will\n // cause everything after the first invalid character to be ignored. (e.g.\n // 'abxxcd' will be treated as 'ab')\n that = that.slice(0, actual);\n }\n\n return that;\n}\n\nfunction fromArrayLike(that, array) {\n var length = array.length < 0 ? 0 : checked(array.length) | 0;\n that = createBuffer(that, length);\n\n for (var i = 0; i < length; i += 1) {\n that[i] = array[i] & 255;\n }\n\n return that;\n}\n\nfunction fromArrayBuffer(that, array, byteOffset, length) {\n array.byteLength; // this throws if `array` is not a valid ArrayBuffer\n\n if (byteOffset < 0 || array.byteLength < byteOffset) {\n throw new RangeError('\\'offset\\' is out of bounds');\n }\n\n if (array.byteLength < byteOffset + (length || 0)) {\n throw new RangeError('\\'length\\' is out of bounds');\n }\n\n if (byteOffset === undefined && length === undefined) {\n array = new Uint8Array(array);\n } else if (length === undefined) {\n array = new Uint8Array(array, byteOffset);\n } else {\n array = new Uint8Array(array, byteOffset, length);\n }\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n // Return an augmented `Uint8Array` instance, for best performance\n that = array;\n that.__proto__ = Buffer.prototype;\n } else {\n // Fallback: Return an object instance of the Buffer class\n that = fromArrayLike(that, array);\n }\n\n return that;\n}\n\nfunction fromObject(that, obj) {\n if (Buffer.isBuffer(obj)) {\n var len = checked(obj.length) | 0;\n that = createBuffer(that, len);\n\n if (that.length === 0) {\n return that;\n }\n\n obj.copy(that, 0, 0, len);\n return that;\n }\n\n if (obj) {\n if (typeof ArrayBuffer !== 'undefined' && obj.buffer instanceof ArrayBuffer || 'length' in obj) {\n if (typeof obj.length !== 'number' || isnan(obj.length)) {\n return createBuffer(that, 0);\n }\n\n return fromArrayLike(that, obj);\n }\n\n if (obj.type === 'Buffer' && isArray(obj.data)) {\n return fromArrayLike(that, obj.data);\n }\n }\n\n throw new TypeError('First argument must be a string, Buffer, ArrayBuffer, Array, or array-like object.');\n}\n\nfunction checked(length) {\n // Note: cannot use `length < kMaxLength()` here because that fails when\n // length is NaN (which is otherwise coerced to zero.)\n if (length >= kMaxLength()) {\n throw new RangeError('Attempt to allocate Buffer larger than maximum ' + 'size: 0x' + kMaxLength().toString(16) + ' bytes');\n }\n\n return length | 0;\n}\n\nfunction SlowBuffer(length) {\n if (+length != length) {\n // eslint-disable-line eqeqeq\n length = 0;\n }\n\n return Buffer.alloc(+length);\n}\n\nBuffer.isBuffer = function isBuffer(b) {\n return !!(b != null && b._isBuffer);\n};\n\nBuffer.compare = function compare(a, b) {\n if (!Buffer.isBuffer(a) || !Buffer.isBuffer(b)) {\n throw new TypeError('Arguments must be Buffers');\n }\n\n if (a === b) return 0;\n var x = a.length;\n var y = b.length;\n\n for (var i = 0, len = Math.min(x, y); i < len; ++i) {\n if (a[i] !== b[i]) {\n x = a[i];\n y = b[i];\n break;\n }\n }\n\n if (x < y) return -1;\n if (y < x) return 1;\n return 0;\n};\n\nBuffer.isEncoding = function isEncoding(encoding) {\n switch (String(encoding).toLowerCase()) {\n case 'hex':\n case 'utf8':\n case 'utf-8':\n case 'ascii':\n case 'latin1':\n case 'binary':\n case 'base64':\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return true;\n\n default:\n return false;\n }\n};\n\nBuffer.concat = function concat(list, length) {\n if (!isArray(list)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers');\n }\n\n if (list.length === 0) {\n return Buffer.alloc(0);\n }\n\n var i;\n\n if (length === undefined) {\n length = 0;\n\n for (i = 0; i < list.length; ++i) {\n length += list[i].length;\n }\n }\n\n var buffer = Buffer.allocUnsafe(length);\n var pos = 0;\n\n for (i = 0; i < list.length; ++i) {\n var buf = list[i];\n\n if (!Buffer.isBuffer(buf)) {\n throw new TypeError('\"list\" argument must be an Array of Buffers');\n }\n\n buf.copy(buffer, pos);\n pos += buf.length;\n }\n\n return buffer;\n};\n\nfunction byteLength(string, encoding) {\n if (Buffer.isBuffer(string)) {\n return string.length;\n }\n\n if (typeof ArrayBuffer !== 'undefined' && typeof ArrayBuffer.isView === 'function' && (ArrayBuffer.isView(string) || string instanceof ArrayBuffer)) {\n return string.byteLength;\n }\n\n if (typeof string !== 'string') {\n string = '' + string;\n }\n\n var len = string.length;\n if (len === 0) return 0; // Use a for loop to avoid recursion\n\n var loweredCase = false;\n\n for (;;) {\n switch (encoding) {\n case 'ascii':\n case 'latin1':\n case 'binary':\n return len;\n\n case 'utf8':\n case 'utf-8':\n case undefined:\n return utf8ToBytes(string).length;\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return len * 2;\n\n case 'hex':\n return len >>> 1;\n\n case 'base64':\n return base64ToBytes(string).length;\n\n default:\n if (loweredCase) return utf8ToBytes(string).length; // assume utf8\n\n encoding = ('' + encoding).toLowerCase();\n loweredCase = true;\n }\n }\n}\n\nBuffer.byteLength = byteLength;\n\nfunction slowToString(encoding, start, end) {\n var loweredCase = false; // No need to verify that \"this.length <= MAX_UINT32\" since it's a read-only\n // property of a typed array.\n // This behaves neither like String nor Uint8Array in that we set start/end\n // to their upper/lower bounds if the value passed is out of range.\n // undefined is handled specially as per ECMA-262 6th Edition,\n // Section 13.3.3.7 Runtime Semantics: KeyedBindingInitialization.\n\n if (start === undefined || start < 0) {\n start = 0;\n } // Return early if start > this.length. Done here to prevent potential uint32\n // coercion fail below.\n\n\n if (start > this.length) {\n return '';\n }\n\n if (end === undefined || end > this.length) {\n end = this.length;\n }\n\n if (end <= 0) {\n return '';\n } // Force coersion to uint32. This will also coerce falsey/NaN values to 0.\n\n\n end >>>= 0;\n start >>>= 0;\n\n if (end <= start) {\n return '';\n }\n\n if (!encoding) encoding = 'utf8';\n\n while (true) {\n switch (encoding) {\n case 'hex':\n return hexSlice(this, start, end);\n\n case 'utf8':\n case 'utf-8':\n return utf8Slice(this, start, end);\n\n case 'ascii':\n return asciiSlice(this, start, end);\n\n case 'latin1':\n case 'binary':\n return latin1Slice(this, start, end);\n\n case 'base64':\n return base64Slice(this, start, end);\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return utf16leSlice(this, start, end);\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding);\n encoding = (encoding + '').toLowerCase();\n loweredCase = true;\n }\n }\n} // The property is used by `Buffer.isBuffer` and `is-buffer` (in Safari 5-7) to detect\n// Buffer instances.\n\n\nBuffer.prototype._isBuffer = true;\n\nfunction swap(b, n, m) {\n var i = b[n];\n b[n] = b[m];\n b[m] = i;\n}\n\nBuffer.prototype.swap16 = function swap16() {\n var len = this.length;\n\n if (len % 2 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 16-bits');\n }\n\n for (var i = 0; i < len; i += 2) {\n swap(this, i, i + 1);\n }\n\n return this;\n};\n\nBuffer.prototype.swap32 = function swap32() {\n var len = this.length;\n\n if (len % 4 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 32-bits');\n }\n\n for (var i = 0; i < len; i += 4) {\n swap(this, i, i + 3);\n swap(this, i + 1, i + 2);\n }\n\n return this;\n};\n\nBuffer.prototype.swap64 = function swap64() {\n var len = this.length;\n\n if (len % 8 !== 0) {\n throw new RangeError('Buffer size must be a multiple of 64-bits');\n }\n\n for (var i = 0; i < len; i += 8) {\n swap(this, i, i + 7);\n swap(this, i + 1, i + 6);\n swap(this, i + 2, i + 5);\n swap(this, i + 3, i + 4);\n }\n\n return this;\n};\n\nBuffer.prototype.toString = function toString() {\n var length = this.length | 0;\n if (length === 0) return '';\n if (arguments.length === 0) return utf8Slice(this, 0, length);\n return slowToString.apply(this, arguments);\n};\n\nBuffer.prototype.equals = function equals(b) {\n if (!Buffer.isBuffer(b)) throw new TypeError('Argument must be a Buffer');\n if (this === b) return true;\n return Buffer.compare(this, b) === 0;\n};\n\nBuffer.prototype.inspect = function inspect() {\n var str = '';\n var max = exports.INSPECT_MAX_BYTES;\n\n if (this.length > 0) {\n str = this.toString('hex', 0, max).match(/.{2}/g).join(' ');\n if (this.length > max) str += ' ... ';\n }\n\n return '';\n};\n\nBuffer.prototype.compare = function compare(target, start, end, thisStart, thisEnd) {\n if (!Buffer.isBuffer(target)) {\n throw new TypeError('Argument must be a Buffer');\n }\n\n if (start === undefined) {\n start = 0;\n }\n\n if (end === undefined) {\n end = target ? target.length : 0;\n }\n\n if (thisStart === undefined) {\n thisStart = 0;\n }\n\n if (thisEnd === undefined) {\n thisEnd = this.length;\n }\n\n if (start < 0 || end > target.length || thisStart < 0 || thisEnd > this.length) {\n throw new RangeError('out of range index');\n }\n\n if (thisStart >= thisEnd && start >= end) {\n return 0;\n }\n\n if (thisStart >= thisEnd) {\n return -1;\n }\n\n if (start >= end) {\n return 1;\n }\n\n start >>>= 0;\n end >>>= 0;\n thisStart >>>= 0;\n thisEnd >>>= 0;\n if (this === target) return 0;\n var x = thisEnd - thisStart;\n var y = end - start;\n var len = Math.min(x, y);\n var thisCopy = this.slice(thisStart, thisEnd);\n var targetCopy = target.slice(start, end);\n\n for (var i = 0; i < len; ++i) {\n if (thisCopy[i] !== targetCopy[i]) {\n x = thisCopy[i];\n y = targetCopy[i];\n break;\n }\n }\n\n if (x < y) return -1;\n if (y < x) return 1;\n return 0;\n}; // Finds either the first index of `val` in `buffer` at offset >= `byteOffset`,\n// OR the last index of `val` in `buffer` at offset <= `byteOffset`.\n//\n// Arguments:\n// - buffer - a Buffer to search\n// - val - a string, Buffer, or number\n// - byteOffset - an index into `buffer`; will be clamped to an int32\n// - encoding - an optional encoding, relevant is val is a string\n// - dir - true for indexOf, false for lastIndexOf\n\n\nfunction bidirectionalIndexOf(buffer, val, byteOffset, encoding, dir) {\n // Empty buffer means no match\n if (buffer.length === 0) return -1; // Normalize byteOffset\n\n if (typeof byteOffset === 'string') {\n encoding = byteOffset;\n byteOffset = 0;\n } else if (byteOffset > 0x7fffffff) {\n byteOffset = 0x7fffffff;\n } else if (byteOffset < -0x80000000) {\n byteOffset = -0x80000000;\n }\n\n byteOffset = +byteOffset; // Coerce to Number.\n\n if (isNaN(byteOffset)) {\n // byteOffset: it it's undefined, null, NaN, \"foo\", etc, search whole buffer\n byteOffset = dir ? 0 : buffer.length - 1;\n } // Normalize byteOffset: negative offsets start from the end of the buffer\n\n\n if (byteOffset < 0) byteOffset = buffer.length + byteOffset;\n\n if (byteOffset >= buffer.length) {\n if (dir) return -1;else byteOffset = buffer.length - 1;\n } else if (byteOffset < 0) {\n if (dir) byteOffset = 0;else return -1;\n } // Normalize val\n\n\n if (typeof val === 'string') {\n val = Buffer.from(val, encoding);\n } // Finally, search either indexOf (if dir is true) or lastIndexOf\n\n\n if (Buffer.isBuffer(val)) {\n // Special case: looking for empty string/buffer always fails\n if (val.length === 0) {\n return -1;\n }\n\n return arrayIndexOf(buffer, val, byteOffset, encoding, dir);\n } else if (typeof val === 'number') {\n val = val & 0xFF; // Search for a byte value [0-255]\n\n if (Buffer.TYPED_ARRAY_SUPPORT && typeof Uint8Array.prototype.indexOf === 'function') {\n if (dir) {\n return Uint8Array.prototype.indexOf.call(buffer, val, byteOffset);\n } else {\n return Uint8Array.prototype.lastIndexOf.call(buffer, val, byteOffset);\n }\n }\n\n return arrayIndexOf(buffer, [val], byteOffset, encoding, dir);\n }\n\n throw new TypeError('val must be string, number or Buffer');\n}\n\nfunction arrayIndexOf(arr, val, byteOffset, encoding, dir) {\n var indexSize = 1;\n var arrLength = arr.length;\n var valLength = val.length;\n\n if (encoding !== undefined) {\n encoding = String(encoding).toLowerCase();\n\n if (encoding === 'ucs2' || encoding === 'ucs-2' || encoding === 'utf16le' || encoding === 'utf-16le') {\n if (arr.length < 2 || val.length < 2) {\n return -1;\n }\n\n indexSize = 2;\n arrLength /= 2;\n valLength /= 2;\n byteOffset /= 2;\n }\n }\n\n function read(buf, i) {\n if (indexSize === 1) {\n return buf[i];\n } else {\n return buf.readUInt16BE(i * indexSize);\n }\n }\n\n var i;\n\n if (dir) {\n var foundIndex = -1;\n\n for (i = byteOffset; i < arrLength; i++) {\n if (read(arr, i) === read(val, foundIndex === -1 ? 0 : i - foundIndex)) {\n if (foundIndex === -1) foundIndex = i;\n if (i - foundIndex + 1 === valLength) return foundIndex * indexSize;\n } else {\n if (foundIndex !== -1) i -= i - foundIndex;\n foundIndex = -1;\n }\n }\n } else {\n if (byteOffset + valLength > arrLength) byteOffset = arrLength - valLength;\n\n for (i = byteOffset; i >= 0; i--) {\n var found = true;\n\n for (var j = 0; j < valLength; j++) {\n if (read(arr, i + j) !== read(val, j)) {\n found = false;\n break;\n }\n }\n\n if (found) return i;\n }\n }\n\n return -1;\n}\n\nBuffer.prototype.includes = function includes(val, byteOffset, encoding) {\n return this.indexOf(val, byteOffset, encoding) !== -1;\n};\n\nBuffer.prototype.indexOf = function indexOf(val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, true);\n};\n\nBuffer.prototype.lastIndexOf = function lastIndexOf(val, byteOffset, encoding) {\n return bidirectionalIndexOf(this, val, byteOffset, encoding, false);\n};\n\nfunction hexWrite(buf, string, offset, length) {\n offset = Number(offset) || 0;\n var remaining = buf.length - offset;\n\n if (!length) {\n length = remaining;\n } else {\n length = Number(length);\n\n if (length > remaining) {\n length = remaining;\n }\n } // must be an even number of digits\n\n\n var strLen = string.length;\n if (strLen % 2 !== 0) throw new TypeError('Invalid hex string');\n\n if (length > strLen / 2) {\n length = strLen / 2;\n }\n\n for (var i = 0; i < length; ++i) {\n var parsed = parseInt(string.substr(i * 2, 2), 16);\n if (isNaN(parsed)) return i;\n buf[offset + i] = parsed;\n }\n\n return i;\n}\n\nfunction utf8Write(buf, string, offset, length) {\n return blitBuffer(utf8ToBytes(string, buf.length - offset), buf, offset, length);\n}\n\nfunction asciiWrite(buf, string, offset, length) {\n return blitBuffer(asciiToBytes(string), buf, offset, length);\n}\n\nfunction latin1Write(buf, string, offset, length) {\n return asciiWrite(buf, string, offset, length);\n}\n\nfunction base64Write(buf, string, offset, length) {\n return blitBuffer(base64ToBytes(string), buf, offset, length);\n}\n\nfunction ucs2Write(buf, string, offset, length) {\n return blitBuffer(utf16leToBytes(string, buf.length - offset), buf, offset, length);\n}\n\nBuffer.prototype.write = function write(string, offset, length, encoding) {\n // Buffer#write(string)\n if (offset === undefined) {\n encoding = 'utf8';\n length = this.length;\n offset = 0; // Buffer#write(string, encoding)\n } else if (length === undefined && typeof offset === 'string') {\n encoding = offset;\n length = this.length;\n offset = 0; // Buffer#write(string, offset[, length][, encoding])\n } else if (isFinite(offset)) {\n offset = offset | 0;\n\n if (isFinite(length)) {\n length = length | 0;\n if (encoding === undefined) encoding = 'utf8';\n } else {\n encoding = length;\n length = undefined;\n } // legacy write(string, encoding, offset, length) - remove in v0.13\n\n } else {\n throw new Error('Buffer.write(string, encoding, offset[, length]) is no longer supported');\n }\n\n var remaining = this.length - offset;\n if (length === undefined || length > remaining) length = remaining;\n\n if (string.length > 0 && (length < 0 || offset < 0) || offset > this.length) {\n throw new RangeError('Attempt to write outside buffer bounds');\n }\n\n if (!encoding) encoding = 'utf8';\n var loweredCase = false;\n\n for (;;) {\n switch (encoding) {\n case 'hex':\n return hexWrite(this, string, offset, length);\n\n case 'utf8':\n case 'utf-8':\n return utf8Write(this, string, offset, length);\n\n case 'ascii':\n return asciiWrite(this, string, offset, length);\n\n case 'latin1':\n case 'binary':\n return latin1Write(this, string, offset, length);\n\n case 'base64':\n // Warning: maxLength not taken into account in base64Write\n return base64Write(this, string, offset, length);\n\n case 'ucs2':\n case 'ucs-2':\n case 'utf16le':\n case 'utf-16le':\n return ucs2Write(this, string, offset, length);\n\n default:\n if (loweredCase) throw new TypeError('Unknown encoding: ' + encoding);\n encoding = ('' + encoding).toLowerCase();\n loweredCase = true;\n }\n }\n};\n\nBuffer.prototype.toJSON = function toJSON() {\n return {\n type: 'Buffer',\n data: Array.prototype.slice.call(this._arr || this, 0)\n };\n};\n\nfunction base64Slice(buf, start, end) {\n if (start === 0 && end === buf.length) {\n return base64.fromByteArray(buf);\n } else {\n return base64.fromByteArray(buf.slice(start, end));\n }\n}\n\nfunction utf8Slice(buf, start, end) {\n end = Math.min(buf.length, end);\n var res = [];\n var i = start;\n\n while (i < end) {\n var firstByte = buf[i];\n var codePoint = null;\n var bytesPerSequence = firstByte > 0xEF ? 4 : firstByte > 0xDF ? 3 : firstByte > 0xBF ? 2 : 1;\n\n if (i + bytesPerSequence <= end) {\n var secondByte, thirdByte, fourthByte, tempCodePoint;\n\n switch (bytesPerSequence) {\n case 1:\n if (firstByte < 0x80) {\n codePoint = firstByte;\n }\n\n break;\n\n case 2:\n secondByte = buf[i + 1];\n\n if ((secondByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0x1F) << 0x6 | secondByte & 0x3F;\n\n if (tempCodePoint > 0x7F) {\n codePoint = tempCodePoint;\n }\n }\n\n break;\n\n case 3:\n secondByte = buf[i + 1];\n thirdByte = buf[i + 2];\n\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0xC | (secondByte & 0x3F) << 0x6 | thirdByte & 0x3F;\n\n if (tempCodePoint > 0x7FF && (tempCodePoint < 0xD800 || tempCodePoint > 0xDFFF)) {\n codePoint = tempCodePoint;\n }\n }\n\n break;\n\n case 4:\n secondByte = buf[i + 1];\n thirdByte = buf[i + 2];\n fourthByte = buf[i + 3];\n\n if ((secondByte & 0xC0) === 0x80 && (thirdByte & 0xC0) === 0x80 && (fourthByte & 0xC0) === 0x80) {\n tempCodePoint = (firstByte & 0xF) << 0x12 | (secondByte & 0x3F) << 0xC | (thirdByte & 0x3F) << 0x6 | fourthByte & 0x3F;\n\n if (tempCodePoint > 0xFFFF && tempCodePoint < 0x110000) {\n codePoint = tempCodePoint;\n }\n }\n\n }\n }\n\n if (codePoint === null) {\n // we did not generate a valid codePoint so insert a\n // replacement char (U+FFFD) and advance only 1 byte\n codePoint = 0xFFFD;\n bytesPerSequence = 1;\n } else if (codePoint > 0xFFFF) {\n // encode to utf16 (surrogate pair dance)\n codePoint -= 0x10000;\n res.push(codePoint >>> 10 & 0x3FF | 0xD800);\n codePoint = 0xDC00 | codePoint & 0x3FF;\n }\n\n res.push(codePoint);\n i += bytesPerSequence;\n }\n\n return decodeCodePointsArray(res);\n} // Based on http://stackoverflow.com/a/22747272/680742, the browser with\n// the lowest limit is Chrome, with 0x10000 args.\n// We go 1 magnitude less, for safety\n\n\nvar MAX_ARGUMENTS_LENGTH = 0x1000;\n\nfunction decodeCodePointsArray(codePoints) {\n var len = codePoints.length;\n\n if (len <= MAX_ARGUMENTS_LENGTH) {\n return String.fromCharCode.apply(String, codePoints); // avoid extra slice()\n } // Decode in chunks to avoid \"call stack size exceeded\".\n\n\n var res = '';\n var i = 0;\n\n while (i < len) {\n res += String.fromCharCode.apply(String, codePoints.slice(i, i += MAX_ARGUMENTS_LENGTH));\n }\n\n return res;\n}\n\nfunction asciiSlice(buf, start, end) {\n var ret = '';\n end = Math.min(buf.length, end);\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i] & 0x7F);\n }\n\n return ret;\n}\n\nfunction latin1Slice(buf, start, end) {\n var ret = '';\n end = Math.min(buf.length, end);\n\n for (var i = start; i < end; ++i) {\n ret += String.fromCharCode(buf[i]);\n }\n\n return ret;\n}\n\nfunction hexSlice(buf, start, end) {\n var len = buf.length;\n if (!start || start < 0) start = 0;\n if (!end || end < 0 || end > len) end = len;\n var out = '';\n\n for (var i = start; i < end; ++i) {\n out += toHex(buf[i]);\n }\n\n return out;\n}\n\nfunction utf16leSlice(buf, start, end) {\n var bytes = buf.slice(start, end);\n var res = '';\n\n for (var i = 0; i < bytes.length; i += 2) {\n res += String.fromCharCode(bytes[i] + bytes[i + 1] * 256);\n }\n\n return res;\n}\n\nBuffer.prototype.slice = function slice(start, end) {\n var len = this.length;\n start = ~~start;\n end = end === undefined ? len : ~~end;\n\n if (start < 0) {\n start += len;\n if (start < 0) start = 0;\n } else if (start > len) {\n start = len;\n }\n\n if (end < 0) {\n end += len;\n if (end < 0) end = 0;\n } else if (end > len) {\n end = len;\n }\n\n if (end < start) end = start;\n var newBuf;\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n newBuf = this.subarray(start, end);\n newBuf.__proto__ = Buffer.prototype;\n } else {\n var sliceLen = end - start;\n newBuf = new Buffer(sliceLen, undefined);\n\n for (var i = 0; i < sliceLen; ++i) {\n newBuf[i] = this[i + start];\n }\n }\n\n return newBuf;\n};\n/*\n * Need to make sure that buffer isn't trying to write out of bounds.\n */\n\n\nfunction checkOffset(offset, ext, length) {\n if (offset % 1 !== 0 || offset < 0) throw new RangeError('offset is not uint');\n if (offset + ext > length) throw new RangeError('Trying to access beyond buffer length');\n}\n\nBuffer.prototype.readUIntLE = function readUIntLE(offset, byteLength, noAssert) {\n offset = offset | 0;\n byteLength = byteLength | 0;\n if (!noAssert) checkOffset(offset, byteLength, this.length);\n var val = this[offset];\n var mul = 1;\n var i = 0;\n\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul;\n }\n\n return val;\n};\n\nBuffer.prototype.readUIntBE = function readUIntBE(offset, byteLength, noAssert) {\n offset = offset | 0;\n byteLength = byteLength | 0;\n\n if (!noAssert) {\n checkOffset(offset, byteLength, this.length);\n }\n\n var val = this[offset + --byteLength];\n var mul = 1;\n\n while (byteLength > 0 && (mul *= 0x100)) {\n val += this[offset + --byteLength] * mul;\n }\n\n return val;\n};\n\nBuffer.prototype.readUInt8 = function readUInt8(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length);\n return this[offset];\n};\n\nBuffer.prototype.readUInt16LE = function readUInt16LE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length);\n return this[offset] | this[offset + 1] << 8;\n};\n\nBuffer.prototype.readUInt16BE = function readUInt16BE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length);\n return this[offset] << 8 | this[offset + 1];\n};\n\nBuffer.prototype.readUInt32LE = function readUInt32LE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return (this[offset] | this[offset + 1] << 8 | this[offset + 2] << 16) + this[offset + 3] * 0x1000000;\n};\n\nBuffer.prototype.readUInt32BE = function readUInt32BE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return this[offset] * 0x1000000 + (this[offset + 1] << 16 | this[offset + 2] << 8 | this[offset + 3]);\n};\n\nBuffer.prototype.readIntLE = function readIntLE(offset, byteLength, noAssert) {\n offset = offset | 0;\n byteLength = byteLength | 0;\n if (!noAssert) checkOffset(offset, byteLength, this.length);\n var val = this[offset];\n var mul = 1;\n var i = 0;\n\n while (++i < byteLength && (mul *= 0x100)) {\n val += this[offset + i] * mul;\n }\n\n mul *= 0x80;\n if (val >= mul) val -= Math.pow(2, 8 * byteLength);\n return val;\n};\n\nBuffer.prototype.readIntBE = function readIntBE(offset, byteLength, noAssert) {\n offset = offset | 0;\n byteLength = byteLength | 0;\n if (!noAssert) checkOffset(offset, byteLength, this.length);\n var i = byteLength;\n var mul = 1;\n var val = this[offset + --i];\n\n while (i > 0 && (mul *= 0x100)) {\n val += this[offset + --i] * mul;\n }\n\n mul *= 0x80;\n if (val >= mul) val -= Math.pow(2, 8 * byteLength);\n return val;\n};\n\nBuffer.prototype.readInt8 = function readInt8(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 1, this.length);\n if (!(this[offset] & 0x80)) return this[offset];\n return (0xff - this[offset] + 1) * -1;\n};\n\nBuffer.prototype.readInt16LE = function readInt16LE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length);\n var val = this[offset] | this[offset + 1] << 8;\n return val & 0x8000 ? val | 0xFFFF0000 : val;\n};\n\nBuffer.prototype.readInt16BE = function readInt16BE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 2, this.length);\n var val = this[offset + 1] | this[offset] << 8;\n return val & 0x8000 ? val | 0xFFFF0000 : val;\n};\n\nBuffer.prototype.readInt32LE = function readInt32LE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return this[offset] | this[offset + 1] << 8 | this[offset + 2] << 16 | this[offset + 3] << 24;\n};\n\nBuffer.prototype.readInt32BE = function readInt32BE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return this[offset] << 24 | this[offset + 1] << 16 | this[offset + 2] << 8 | this[offset + 3];\n};\n\nBuffer.prototype.readFloatLE = function readFloatLE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return ieee754.read(this, offset, true, 23, 4);\n};\n\nBuffer.prototype.readFloatBE = function readFloatBE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 4, this.length);\n return ieee754.read(this, offset, false, 23, 4);\n};\n\nBuffer.prototype.readDoubleLE = function readDoubleLE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length);\n return ieee754.read(this, offset, true, 52, 8);\n};\n\nBuffer.prototype.readDoubleBE = function readDoubleBE(offset, noAssert) {\n if (!noAssert) checkOffset(offset, 8, this.length);\n return ieee754.read(this, offset, false, 52, 8);\n};\n\nfunction checkInt(buf, value, offset, ext, max, min) {\n if (!Buffer.isBuffer(buf)) throw new TypeError('\"buffer\" argument must be a Buffer instance');\n if (value > max || value < min) throw new RangeError('\"value\" argument is out of bounds');\n if (offset + ext > buf.length) throw new RangeError('Index out of range');\n}\n\nBuffer.prototype.writeUIntLE = function writeUIntLE(value, offset, byteLength, noAssert) {\n value = +value;\n offset = offset | 0;\n byteLength = byteLength | 0;\n\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1;\n checkInt(this, value, offset, byteLength, maxBytes, 0);\n }\n\n var mul = 1;\n var i = 0;\n this[offset] = value & 0xFF;\n\n while (++i < byteLength && (mul *= 0x100)) {\n this[offset + i] = value / mul & 0xFF;\n }\n\n return offset + byteLength;\n};\n\nBuffer.prototype.writeUIntBE = function writeUIntBE(value, offset, byteLength, noAssert) {\n value = +value;\n offset = offset | 0;\n byteLength = byteLength | 0;\n\n if (!noAssert) {\n var maxBytes = Math.pow(2, 8 * byteLength) - 1;\n checkInt(this, value, offset, byteLength, maxBytes, 0);\n }\n\n var i = byteLength - 1;\n var mul = 1;\n this[offset + i] = value & 0xFF;\n\n while (--i >= 0 && (mul *= 0x100)) {\n this[offset + i] = value / mul & 0xFF;\n }\n\n return offset + byteLength;\n};\n\nBuffer.prototype.writeUInt8 = function writeUInt8(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 1, 0xff, 0);\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value);\n this[offset] = value & 0xff;\n return offset + 1;\n};\n\nfunction objectWriteUInt16(buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffff + value + 1;\n\n for (var i = 0, j = Math.min(buf.length - offset, 2); i < j; ++i) {\n buf[offset + i] = (value & 0xff << 8 * (littleEndian ? i : 1 - i)) >>> (littleEndian ? i : 1 - i) * 8;\n }\n}\n\nBuffer.prototype.writeUInt16LE = function writeUInt16LE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value & 0xff;\n this[offset + 1] = value >>> 8;\n } else {\n objectWriteUInt16(this, value, offset, true);\n }\n\n return offset + 2;\n};\n\nBuffer.prototype.writeUInt16BE = function writeUInt16BE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 2, 0xffff, 0);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value >>> 8;\n this[offset + 1] = value & 0xff;\n } else {\n objectWriteUInt16(this, value, offset, false);\n }\n\n return offset + 2;\n};\n\nfunction objectWriteUInt32(buf, value, offset, littleEndian) {\n if (value < 0) value = 0xffffffff + value + 1;\n\n for (var i = 0, j = Math.min(buf.length - offset, 4); i < j; ++i) {\n buf[offset + i] = value >>> (littleEndian ? i : 3 - i) * 8 & 0xff;\n }\n}\n\nBuffer.prototype.writeUInt32LE = function writeUInt32LE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset + 3] = value >>> 24;\n this[offset + 2] = value >>> 16;\n this[offset + 1] = value >>> 8;\n this[offset] = value & 0xff;\n } else {\n objectWriteUInt32(this, value, offset, true);\n }\n\n return offset + 4;\n};\n\nBuffer.prototype.writeUInt32BE = function writeUInt32BE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 4, 0xffffffff, 0);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value >>> 24;\n this[offset + 1] = value >>> 16;\n this[offset + 2] = value >>> 8;\n this[offset + 3] = value & 0xff;\n } else {\n objectWriteUInt32(this, value, offset, false);\n }\n\n return offset + 4;\n};\n\nBuffer.prototype.writeIntLE = function writeIntLE(value, offset, byteLength, noAssert) {\n value = +value;\n offset = offset | 0;\n\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1);\n checkInt(this, value, offset, byteLength, limit - 1, -limit);\n }\n\n var i = 0;\n var mul = 1;\n var sub = 0;\n this[offset] = value & 0xFF;\n\n while (++i < byteLength && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i - 1] !== 0) {\n sub = 1;\n }\n\n this[offset + i] = (value / mul >> 0) - sub & 0xFF;\n }\n\n return offset + byteLength;\n};\n\nBuffer.prototype.writeIntBE = function writeIntBE(value, offset, byteLength, noAssert) {\n value = +value;\n offset = offset | 0;\n\n if (!noAssert) {\n var limit = Math.pow(2, 8 * byteLength - 1);\n checkInt(this, value, offset, byteLength, limit - 1, -limit);\n }\n\n var i = byteLength - 1;\n var mul = 1;\n var sub = 0;\n this[offset + i] = value & 0xFF;\n\n while (--i >= 0 && (mul *= 0x100)) {\n if (value < 0 && sub === 0 && this[offset + i + 1] !== 0) {\n sub = 1;\n }\n\n this[offset + i] = (value / mul >> 0) - sub & 0xFF;\n }\n\n return offset + byteLength;\n};\n\nBuffer.prototype.writeInt8 = function writeInt8(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 1, 0x7f, -0x80);\n if (!Buffer.TYPED_ARRAY_SUPPORT) value = Math.floor(value);\n if (value < 0) value = 0xff + value + 1;\n this[offset] = value & 0xff;\n return offset + 1;\n};\n\nBuffer.prototype.writeInt16LE = function writeInt16LE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value & 0xff;\n this[offset + 1] = value >>> 8;\n } else {\n objectWriteUInt16(this, value, offset, true);\n }\n\n return offset + 2;\n};\n\nBuffer.prototype.writeInt16BE = function writeInt16BE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 2, 0x7fff, -0x8000);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value >>> 8;\n this[offset + 1] = value & 0xff;\n } else {\n objectWriteUInt16(this, value, offset, false);\n }\n\n return offset + 2;\n};\n\nBuffer.prototype.writeInt32LE = function writeInt32LE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000);\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value & 0xff;\n this[offset + 1] = value >>> 8;\n this[offset + 2] = value >>> 16;\n this[offset + 3] = value >>> 24;\n } else {\n objectWriteUInt32(this, value, offset, true);\n }\n\n return offset + 4;\n};\n\nBuffer.prototype.writeInt32BE = function writeInt32BE(value, offset, noAssert) {\n value = +value;\n offset = offset | 0;\n if (!noAssert) checkInt(this, value, offset, 4, 0x7fffffff, -0x80000000);\n if (value < 0) value = 0xffffffff + value + 1;\n\n if (Buffer.TYPED_ARRAY_SUPPORT) {\n this[offset] = value >>> 24;\n this[offset + 1] = value >>> 16;\n this[offset + 2] = value >>> 8;\n this[offset + 3] = value & 0xff;\n } else {\n objectWriteUInt32(this, value, offset, false);\n }\n\n return offset + 4;\n};\n\nfunction checkIEEE754(buf, value, offset, ext, max, min) {\n if (offset + ext > buf.length) throw new RangeError('Index out of range');\n if (offset < 0) throw new RangeError('Index out of range');\n}\n\nfunction writeFloat(buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 4, 3.4028234663852886e+38, -3.4028234663852886e+38);\n }\n\n ieee754.write(buf, value, offset, littleEndian, 23, 4);\n return offset + 4;\n}\n\nBuffer.prototype.writeFloatLE = function writeFloatLE(value, offset, noAssert) {\n return writeFloat(this, value, offset, true, noAssert);\n};\n\nBuffer.prototype.writeFloatBE = function writeFloatBE(value, offset, noAssert) {\n return writeFloat(this, value, offset, false, noAssert);\n};\n\nfunction writeDouble(buf, value, offset, littleEndian, noAssert) {\n if (!noAssert) {\n checkIEEE754(buf, value, offset, 8, 1.7976931348623157E+308, -1.7976931348623157E+308);\n }\n\n ieee754.write(buf, value, offset, littleEndian, 52, 8);\n return offset + 8;\n}\n\nBuffer.prototype.writeDoubleLE = function writeDoubleLE(value, offset, noAssert) {\n return writeDouble(this, value, offset, true, noAssert);\n};\n\nBuffer.prototype.writeDoubleBE = function writeDoubleBE(value, offset, noAssert) {\n return writeDouble(this, value, offset, false, noAssert);\n}; // copy(targetBuffer, targetStart=0, sourceStart=0, sourceEnd=buffer.length)\n\n\nBuffer.prototype.copy = function copy(target, targetStart, start, end) {\n if (!start) start = 0;\n if (!end && end !== 0) end = this.length;\n if (targetStart >= target.length) targetStart = target.length;\n if (!targetStart) targetStart = 0;\n if (end > 0 && end < start) end = start; // Copy 0 bytes; we're done\n\n if (end === start) return 0;\n if (target.length === 0 || this.length === 0) return 0; // Fatal error conditions\n\n if (targetStart < 0) {\n throw new RangeError('targetStart out of bounds');\n }\n\n if (start < 0 || start >= this.length) throw new RangeError('sourceStart out of bounds');\n if (end < 0) throw new RangeError('sourceEnd out of bounds'); // Are we oob?\n\n if (end > this.length) end = this.length;\n\n if (target.length - targetStart < end - start) {\n end = target.length - targetStart + start;\n }\n\n var len = end - start;\n var i;\n\n if (this === target && start < targetStart && targetStart < end) {\n // descending copy from end\n for (i = len - 1; i >= 0; --i) {\n target[i + targetStart] = this[i + start];\n }\n } else if (len < 1000 || !Buffer.TYPED_ARRAY_SUPPORT) {\n // ascending copy from start\n for (i = 0; i < len; ++i) {\n target[i + targetStart] = this[i + start];\n }\n } else {\n Uint8Array.prototype.set.call(target, this.subarray(start, start + len), targetStart);\n }\n\n return len;\n}; // Usage:\n// buffer.fill(number[, offset[, end]])\n// buffer.fill(buffer[, offset[, end]])\n// buffer.fill(string[, offset[, end]][, encoding])\n\n\nBuffer.prototype.fill = function fill(val, start, end, encoding) {\n // Handle string cases:\n if (typeof val === 'string') {\n if (typeof start === 'string') {\n encoding = start;\n start = 0;\n end = this.length;\n } else if (typeof end === 'string') {\n encoding = end;\n end = this.length;\n }\n\n if (val.length === 1) {\n var code = val.charCodeAt(0);\n\n if (code < 256) {\n val = code;\n }\n }\n\n if (encoding !== undefined && typeof encoding !== 'string') {\n throw new TypeError('encoding must be a string');\n }\n\n if (typeof encoding === 'string' && !Buffer.isEncoding(encoding)) {\n throw new TypeError('Unknown encoding: ' + encoding);\n }\n } else if (typeof val === 'number') {\n val = val & 255;\n } // Invalid ranges are not set to a default, so can range check early.\n\n\n if (start < 0 || this.length < start || this.length < end) {\n throw new RangeError('Out of range index');\n }\n\n if (end <= start) {\n return this;\n }\n\n start = start >>> 0;\n end = end === undefined ? this.length : end >>> 0;\n if (!val) val = 0;\n var i;\n\n if (typeof val === 'number') {\n for (i = start; i < end; ++i) {\n this[i] = val;\n }\n } else {\n var bytes = Buffer.isBuffer(val) ? val : utf8ToBytes(new Buffer(val, encoding).toString());\n var len = bytes.length;\n\n for (i = 0; i < end - start; ++i) {\n this[i + start] = bytes[i % len];\n }\n }\n\n return this;\n}; // HELPER FUNCTIONS\n// ================\n\n\nvar INVALID_BASE64_RE = /[^+\\/0-9A-Za-z-_]/g;\n\nfunction base64clean(str) {\n // Node strips out invalid characters like \\n and \\t from the string, base64-js does not\n str = stringtrim(str).replace(INVALID_BASE64_RE, ''); // Node converts strings with length < 2 to ''\n\n if (str.length < 2) return ''; // Node allows for non-padded base64 strings (missing trailing ===), base64-js does not\n\n while (str.length % 4 !== 0) {\n str = str + '=';\n }\n\n return str;\n}\n\nfunction stringtrim(str) {\n if (str.trim) return str.trim();\n return str.replace(/^\\s+|\\s+$/g, '');\n}\n\nfunction toHex(n) {\n if (n < 16) return '0' + n.toString(16);\n return n.toString(16);\n}\n\nfunction utf8ToBytes(string, units) {\n units = units || Infinity;\n var codePoint;\n var length = string.length;\n var leadSurrogate = null;\n var bytes = [];\n\n for (var i = 0; i < length; ++i) {\n codePoint = string.charCodeAt(i); // is surrogate component\n\n if (codePoint > 0xD7FF && codePoint < 0xE000) {\n // last char was a lead\n if (!leadSurrogate) {\n // no lead yet\n if (codePoint > 0xDBFF) {\n // unexpected trail\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n continue;\n } else if (i + 1 === length) {\n // unpaired lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n continue;\n } // valid lead\n\n\n leadSurrogate = codePoint;\n continue;\n } // 2 leads in a row\n\n\n if (codePoint < 0xDC00) {\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n leadSurrogate = codePoint;\n continue;\n } // valid surrogate pair\n\n\n codePoint = (leadSurrogate - 0xD800 << 10 | codePoint - 0xDC00) + 0x10000;\n } else if (leadSurrogate) {\n // valid bmp char, but last char was a lead\n if ((units -= 3) > -1) bytes.push(0xEF, 0xBF, 0xBD);\n }\n\n leadSurrogate = null; // encode utf8\n\n if (codePoint < 0x80) {\n if ((units -= 1) < 0) break;\n bytes.push(codePoint);\n } else if (codePoint < 0x800) {\n if ((units -= 2) < 0) break;\n bytes.push(codePoint >> 0x6 | 0xC0, codePoint & 0x3F | 0x80);\n } else if (codePoint < 0x10000) {\n if ((units -= 3) < 0) break;\n bytes.push(codePoint >> 0xC | 0xE0, codePoint >> 0x6 & 0x3F | 0x80, codePoint & 0x3F | 0x80);\n } else if (codePoint < 0x110000) {\n if ((units -= 4) < 0) break;\n bytes.push(codePoint >> 0x12 | 0xF0, codePoint >> 0xC & 0x3F | 0x80, codePoint >> 0x6 & 0x3F | 0x80, codePoint & 0x3F | 0x80);\n } else {\n throw new Error('Invalid code point');\n }\n }\n\n return bytes;\n}\n\nfunction asciiToBytes(str) {\n var byteArray = [];\n\n for (var i = 0; i < str.length; ++i) {\n // Node's code seems to be doing this and not & 0x7F..\n byteArray.push(str.charCodeAt(i) & 0xFF);\n }\n\n return byteArray;\n}\n\nfunction utf16leToBytes(str, units) {\n var c, hi, lo;\n var byteArray = [];\n\n for (var i = 0; i < str.length; ++i) {\n if ((units -= 2) < 0) break;\n c = str.charCodeAt(i);\n hi = c >> 8;\n lo = c % 256;\n byteArray.push(lo);\n byteArray.push(hi);\n }\n\n return byteArray;\n}\n\nfunction base64ToBytes(str) {\n return base64.toByteArray(base64clean(str));\n}\n\nfunction blitBuffer(src, dst, offset, length) {\n for (var i = 0; i < length; ++i) {\n if (i + offset >= dst.length || i >= src.length) break;\n dst[i + offset] = src[i];\n }\n\n return i;\n}\n\nfunction isnan(val) {\n return val !== val; // eslint-disable-line no-self-compare\n}","'use strict';\nvar ArrayBufferViewCore = require('../internals/array-buffer-view-core');\nvar global = require('../internals/global');\nvar fails = require('../internals/fails');\nvar aFunction = require('../internals/a-function');\nvar toLength = require('../internals/to-length');\nvar internalSort = require('../internals/array-sort');\nvar FF = require('../internals/engine-ff-version');\nvar IE_OR_EDGE = require('../internals/engine-is-ie-or-edge');\nvar V8 = require('../internals/engine-v8-version');\nvar WEBKIT = require('../internals/engine-webkit-version');\n\nvar aTypedArray = ArrayBufferViewCore.aTypedArray;\nvar exportTypedArrayMethod = ArrayBufferViewCore.exportTypedArrayMethod;\nvar Uint16Array = global.Uint16Array;\nvar nativeSort = Uint16Array && Uint16Array.prototype.sort;\n\n// WebKit\nvar ACCEPT_INCORRECT_ARGUMENTS = !!nativeSort && !fails(function () {\n var array = new Uint16Array(2);\n array.sort(null);\n array.sort({});\n});\n\nvar STABLE_SORT = !!nativeSort && !fails(function () {\n // feature detection can be too slow, so check engines versions\n if (V8) return V8 < 74;\n if (FF) return FF < 67;\n if (IE_OR_EDGE) return true;\n if (WEBKIT) return WEBKIT < 602;\n\n var array = new Uint16Array(516);\n var expected = Array(516);\n var index, mod;\n\n for (index = 0; index < 516; index++) {\n mod = index % 4;\n array[index] = 515 - index;\n expected[index] = index - 2 * mod + 3;\n }\n\n array.sort(function (a, b) {\n return (a / 4 | 0) - (b / 4 | 0);\n });\n\n for (index = 0; index < 516; index++) {\n if (array[index] !== expected[index]) return true;\n }\n});\n\nvar getSortCompare = function (comparefn) {\n return function (x, y) {\n if (comparefn !== undefined) return +comparefn(x, y) || 0;\n // eslint-disable-next-line no-self-compare -- NaN check\n if (y !== y) return -1;\n // eslint-disable-next-line no-self-compare -- NaN check\n if (x !== x) return 1;\n if (x === 0 && y === 0) return 1 / x > 0 && 1 / y < 0 ? 1 : -1;\n return x > y;\n };\n};\n\n// `%TypedArray%.prototype.sort` method\n// https://tc39.es/ecma262/#sec-%typedarray%.prototype.sort\nexportTypedArrayMethod('sort', function sort(comparefn) {\n var array = this;\n if (comparefn !== undefined) aFunction(comparefn);\n if (STABLE_SORT) return nativeSort.call(array, comparefn);\n\n aTypedArray(array);\n var arrayLength = toLength(array.length);\n var items = Array(arrayLength);\n var index;\n\n for (index = 0; index < arrayLength; index++) {\n items[index] = array[index];\n }\n\n items = internalSort(array, getSortCompare(comparefn));\n\n for (index = 0; index < arrayLength; index++) {\n array[index] = items[index];\n }\n\n return array;\n}, !STABLE_SORT || ACCEPT_INCORRECT_ARGUMENTS);\n","(function (a, b) {\n if (\"function\" == typeof define && define.amd) define([], b);else if (\"undefined\" != typeof exports) b();else {\n b(), a.FileSaver = {\n exports: {}\n }.exports;\n }\n})(this, function () {\n \"use strict\";\n\n function b(a, b) {\n return \"undefined\" == typeof b ? b = {\n autoBom: !1\n } : \"object\" != typeof b && (console.warn(\"Deprecated: Expected third argument to be a object\"), b = {\n autoBom: !b\n }), b.autoBom && /^\\s*(?:text\\/\\S*|application\\/xml|\\S*\\/\\S*\\+xml)\\s*;.*charset\\s*=\\s*utf-8/i.test(a.type) ? new Blob([\"\\uFEFF\", a], {\n type: a.type\n }) : a;\n }\n\n function c(a, b, c) {\n var d = new XMLHttpRequest();\n d.open(\"GET\", a), d.responseType = \"blob\", d.onload = function () {\n g(d.response, b, c);\n }, d.onerror = function () {\n console.error(\"could not download file\");\n }, d.send();\n }\n\n function d(a) {\n var b = new XMLHttpRequest();\n b.open(\"HEAD\", a, !1);\n\n try {\n b.send();\n } catch (a) {}\n\n return 200 <= b.status && 299 >= b.status;\n }\n\n function e(a) {\n try {\n a.dispatchEvent(new MouseEvent(\"click\"));\n } catch (c) {\n var b = document.createEvent(\"MouseEvents\");\n b.initMouseEvent(\"click\", !0, !0, window, 0, 0, 0, 80, 20, !1, !1, !1, !1, 0, null), a.dispatchEvent(b);\n }\n }\n\n var f = \"object\" == typeof window && window.window === window ? window : \"object\" == typeof self && self.self === self ? self : \"object\" == typeof global && global.global === global ? global : void 0,\n a = f.navigator && /Macintosh/.test(navigator.userAgent) && /AppleWebKit/.test(navigator.userAgent) && !/Safari/.test(navigator.userAgent),\n g = f.saveAs || (\"object\" != typeof window || window !== f ? function () {} : \"download\" in HTMLAnchorElement.prototype && !a ? function (b, g, h) {\n var i = f.URL || f.webkitURL,\n j = document.createElement(\"a\");\n g = g || b.name || \"download\", j.download = g, j.rel = \"noopener\", \"string\" == typeof b ? (j.href = b, j.origin === location.origin ? e(j) : d(j.href) ? c(b, g, h) : e(j, j.target = \"_blank\")) : (j.href = i.createObjectURL(b), setTimeout(function () {\n i.revokeObjectURL(j.href);\n }, 4E4), setTimeout(function () {\n e(j);\n }, 0));\n } : \"msSaveOrOpenBlob\" in navigator ? function (f, g, h) {\n if (g = g || f.name || \"download\", \"string\" != typeof f) navigator.msSaveOrOpenBlob(b(f, h), g);else if (d(f)) c(f, g, h);else {\n var i = document.createElement(\"a\");\n i.href = f, i.target = \"_blank\", setTimeout(function () {\n e(i);\n });\n }\n } : function (b, d, e, g) {\n if (g = g || open(\"\", \"_blank\"), g && (g.document.title = g.document.body.innerText = \"downloading...\"), \"string\" == typeof b) return c(b, d, e);\n var h = \"application/octet-stream\" === b.type,\n i = /constructor/i.test(f.HTMLElement) || f.safari,\n j = /CriOS\\/[\\d]+/.test(navigator.userAgent);\n\n if ((j || h && i || a) && \"undefined\" != typeof FileReader) {\n var k = new FileReader();\n k.onloadend = function () {\n var a = k.result;\n a = j ? a : a.replace(/^data:[^;]*;/, \"data:attachment/file;\"), g ? g.location.href = a : location = a, g = null;\n }, k.readAsDataURL(b);\n } else {\n var l = f.URL || f.webkitURL,\n m = l.createObjectURL(b);\n g ? g.location = m : location.href = m, g = null, setTimeout(function () {\n l.revokeObjectURL(m);\n }, 4E4);\n }\n });\n f.saveAs = g.saveAs = g, \"undefined\" != typeof module && (module.exports = g);\n});","'use strict';\n\nObject.defineProperty(exports, \"__esModule\", {\n value: true\n});\nexports.default = all;\n\nvar _createChainableTypeChecker = require('./utils/createChainableTypeChecker');\n\nvar _createChainableTypeChecker2 = _interopRequireDefault(_createChainableTypeChecker);\n\nfunction _interopRequireDefault(obj) {\n return obj && obj.__esModule ? obj : {\n default: obj\n };\n}\n\nfunction all() {\n for (var _len = arguments.length, validators = Array(_len), _key = 0; _key < _len; _key++) {\n validators[_key] = arguments[_key];\n }\n\n function allPropTypes() {\n for (var _len2 = arguments.length, args = Array(_len2), _key2 = 0; _key2 < _len2; _key2++) {\n args[_key2] = arguments[_key2];\n }\n\n var error = null;\n validators.forEach(function (validator) {\n if (error != null) {\n return;\n }\n\n var result = validator.apply(undefined, args);\n\n if (result != null) {\n error = result;\n }\n });\n return error;\n }\n\n return (0, _createChainableTypeChecker2.default)(allPropTypes);\n}\n\nmodule.exports = exports['default'];","var isObject = require('../internals/is-object');\n\nmodule.exports = function (it) {\n if (!isObject(it) && it !== null) {\n throw TypeError(\"Can't set \" + String(it) + ' as a prototype');\n } return it;\n};\n","import arrayWithHoles from \"../arrayWithHoles/_index.mjs\";\nimport iterableToArrayLimit from \"../iterableToArrayLimit/_index.mjs\";\nimport unsupportedIterableToArray from \"../unsupportedIterableToArray/_index.mjs\";\nimport nonIterableRest from \"../nonIterableRest/_index.mjs\";\nexport default function _slicedToArray(arr, i) {\n return arrayWithHoles(arr) || iterableToArrayLimit(arr, i) || unsupportedIterableToArray(arr, i) || nonIterableRest();\n}","export default function _arrayWithHoles(arr) {\n if (Array.isArray(arr)) return arr;\n}","export default function _iterableToArrayLimit(arr, i) {\n if (typeof Symbol === \"undefined\" || !(Symbol.iterator in Object(arr))) return;\n var _arr = [];\n var _n = true;\n var _d = false;\n var _e = undefined;\n\n try {\n for (var _i = arr[Symbol.iterator](), _s; !(_n = (_s = _i.next()).done); _n = true) {\n _arr.push(_s.value);\n\n if (i && _arr.length === i) break;\n }\n } catch (err) {\n _d = true;\n _e = err;\n } finally {\n try {\n if (!_n && _i[\"return\"] != null) _i[\"return\"]();\n } finally {\n if (_d) throw _e;\n }\n }\n\n return _arr;\n}","export default function _nonIterableRest() {\n throw new TypeError(\"Invalid attempt to destructure non-iterable instance.\\nIn order to be iterable, non-array objects must have a [Symbol.iterator]() method.\");\n}","/* globals __webpack_amd_options__ */\nmodule.exports = __webpack_amd_options__;\n","require(\"core-js/modules/es.typed-array.sort.js\");\n\n;\n\n(function (globalScope) {\n 'use strict';\n /*\r\n * decimal.js v10.2.1\r\n * An arbitrary-precision Decimal type for JavaScript.\r\n * https://github.com/MikeMcl/decimal.js\r\n * Copyright (c) 2020 Michael Mclaughlin \r\n * MIT Licence\r\n */\n // ----------------------------------- EDITABLE DEFAULTS ------------------------------------ //\n // The maximum exponent magnitude.\n // The limit on the value of `toExpNeg`, `toExpPos`, `minE` and `maxE`.\n\n var EXP_LIMIT = 9e15,\n // 0 to 9e15\n // The limit on the value of `precision`, and on the value of the first argument to\n // `toDecimalPlaces`, `toExponential`, `toFixed`, `toPrecision` and `toSignificantDigits`.\n MAX_DIGITS = 1e9,\n // 0 to 1e9\n // Base conversion alphabet.\n NUMERALS = '0123456789abcdef',\n // The natural logarithm of 10 (1025 digits).\n LN10 = '2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058',\n // Pi (1025 digits).\n PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789',\n // The initial configuration properties of the Decimal constructor.\n DEFAULTS = {\n // These values must be integers within the stated ranges (inclusive).\n // Most of these values can be changed at run-time using the `Decimal.config` method.\n // The maximum number of significant digits of the result of a calculation or base conversion.\n // E.g. `Decimal.config({ precision: 20 });`\n precision: 20,\n // 1 to MAX_DIGITS\n // The rounding mode used when rounding to `precision`.\n //\n // ROUND_UP 0 Away from zero.\n // ROUND_DOWN 1 Towards zero.\n // ROUND_CEIL 2 Towards +Infinity.\n // ROUND_FLOOR 3 Towards -Infinity.\n // ROUND_HALF_UP 4 Towards nearest neighbour. If equidistant, up.\n // ROUND_HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.\n // ROUND_HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.\n // ROUND_HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.\n // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\n //\n // E.g.\n // `Decimal.rounding = 4;`\n // `Decimal.rounding = Decimal.ROUND_HALF_UP;`\n rounding: 4,\n // 0 to 8\n // The modulo mode used when calculating the modulus: a mod n.\n // The quotient (q = a / n) is calculated according to the corresponding rounding mode.\n // The remainder (r) is calculated as: r = a - n * q.\n //\n // UP 0 The remainder is positive if the dividend is negative, else is negative.\n // DOWN 1 The remainder has the same sign as the dividend (JavaScript %).\n // FLOOR 3 The remainder has the same sign as the divisor (Python %).\n // HALF_EVEN 6 The IEEE 754 remainder function.\n // EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.\n //\n // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian\n // division (9) are commonly used for the modulus operation. The other rounding modes can also\n // be used, but they may not give useful results.\n modulo: 1,\n // 0 to 9\n // The exponent value at and beneath which `toString` returns exponential notation.\n // JavaScript numbers: -7\n toExpNeg: -7,\n // 0 to -EXP_LIMIT\n // The exponent value at and above which `toString` returns exponential notation.\n // JavaScript numbers: 21\n toExpPos: 21,\n // 0 to EXP_LIMIT\n // The minimum exponent value, beneath which underflow to zero occurs.\n // JavaScript numbers: -324 (5e-324)\n minE: -EXP_LIMIT,\n // -1 to -EXP_LIMIT\n // The maximum exponent value, above which overflow to Infinity occurs.\n // JavaScript numbers: 308 (1.7976931348623157e+308)\n maxE: EXP_LIMIT,\n // 1 to EXP_LIMIT\n // Whether to use cryptographically-secure random number generation, if available.\n crypto: false // true/false\n\n },\n // ----------------------------------- END OF EDITABLE DEFAULTS ------------------------------- //\n Decimal,\n inexact,\n noConflict,\n quadrant,\n external = true,\n decimalError = '[DecimalError] ',\n invalidArgument = decimalError + 'Invalid argument: ',\n precisionLimitExceeded = decimalError + 'Precision limit exceeded',\n cryptoUnavailable = decimalError + 'crypto unavailable',\n mathfloor = Math.floor,\n mathpow = Math.pow,\n isBinary = /^0b([01]+(\\.[01]*)?|\\.[01]+)(p[+-]?\\d+)?$/i,\n isHex = /^0x([0-9a-f]+(\\.[0-9a-f]*)?|\\.[0-9a-f]+)(p[+-]?\\d+)?$/i,\n isOctal = /^0o([0-7]+(\\.[0-7]*)?|\\.[0-7]+)(p[+-]?\\d+)?$/i,\n isDecimal = /^(\\d+(\\.\\d*)?|\\.\\d+)(e[+-]?\\d+)?$/i,\n BASE = 1e7,\n LOG_BASE = 7,\n MAX_SAFE_INTEGER = 9007199254740991,\n LN10_PRECISION = LN10.length - 1,\n PI_PRECISION = PI.length - 1,\n // Decimal.prototype object\n P = {\n name: '[object Decimal]'\n }; // Decimal prototype methods\n\n /*\r\n * absoluteValue abs\r\n * ceil\r\n * comparedTo cmp\r\n * cosine cos\r\n * cubeRoot cbrt\r\n * decimalPlaces dp\r\n * dividedBy div\r\n * dividedToIntegerBy divToInt\r\n * equals eq\r\n * floor\r\n * greaterThan gt\r\n * greaterThanOrEqualTo gte\r\n * hyperbolicCosine cosh\r\n * hyperbolicSine sinh\r\n * hyperbolicTangent tanh\r\n * inverseCosine acos\r\n * inverseHyperbolicCosine acosh\r\n * inverseHyperbolicSine asinh\r\n * inverseHyperbolicTangent atanh\r\n * inverseSine asin\r\n * inverseTangent atan\r\n * isFinite\r\n * isInteger isInt\r\n * isNaN\r\n * isNegative isNeg\r\n * isPositive isPos\r\n * isZero\r\n * lessThan lt\r\n * lessThanOrEqualTo lte\r\n * logarithm log\r\n * [maximum] [max]\r\n * [minimum] [min]\r\n * minus sub\r\n * modulo mod\r\n * naturalExponential exp\r\n * naturalLogarithm ln\r\n * negated neg\r\n * plus add\r\n * precision sd\r\n * round\r\n * sine sin\r\n * squareRoot sqrt\r\n * tangent tan\r\n * times mul\r\n * toBinary\r\n * toDecimalPlaces toDP\r\n * toExponential\r\n * toFixed\r\n * toFraction\r\n * toHexadecimal toHex\r\n * toNearest\r\n * toNumber\r\n * toOctal\r\n * toPower pow\r\n * toPrecision\r\n * toSignificantDigits toSD\r\n * toString\r\n * truncated trunc\r\n * valueOf toJSON\r\n */\n\n /*\r\n * Return a new Decimal whose value is the absolute value of this Decimal.\r\n *\r\n */\n\n P.absoluteValue = P.abs = function () {\n var x = new this.constructor(this);\n if (x.s < 0) x.s = 1;\n return finalise(x);\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n * direction of positive Infinity.\r\n *\r\n */\n\n\n P.ceil = function () {\n return finalise(new this.constructor(this), this.e + 1, 2);\n };\n /*\r\n * Return\r\n * 1 if the value of this Decimal is greater than the value of `y`,\r\n * -1 if the value of this Decimal is less than the value of `y`,\r\n * 0 if they have the same value,\r\n * NaN if the value of either Decimal is NaN.\r\n *\r\n */\n\n\n P.comparedTo = P.cmp = function (y) {\n var i,\n j,\n xdL,\n ydL,\n x = this,\n xd = x.d,\n yd = (y = new x.constructor(y)).d,\n xs = x.s,\n ys = y.s; // Either NaN or ±Infinity?\n\n if (!xd || !yd) {\n return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1;\n } // Either zero?\n\n\n if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0; // Signs differ?\n\n if (xs !== ys) return xs; // Compare exponents.\n\n if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1;\n xdL = xd.length;\n ydL = yd.length; // Compare digit by digit.\n\n for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) {\n if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1;\n } // Compare lengths.\n\n\n return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1;\n };\n /*\r\n * Return a new Decimal whose value is the cosine of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * cos(0) = 1\r\n * cos(-0) = 1\r\n * cos(Infinity) = NaN\r\n * cos(-Infinity) = NaN\r\n * cos(NaN) = NaN\r\n *\r\n */\n\n\n P.cosine = P.cos = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (!x.d) return new Ctor(NaN); // cos(0) = cos(-0) = 1\n\n if (!x.d[0]) return new Ctor(1);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\n Ctor.rounding = 1;\n x = cosine(Ctor, toLessThanHalfPi(Ctor, x));\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true);\n };\n /*\r\n *\r\n * Return a new Decimal whose value is the cube root of the value of this Decimal, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * cbrt(0) = 0\r\n * cbrt(-0) = -0\r\n * cbrt(1) = 1\r\n * cbrt(-1) = -1\r\n * cbrt(N) = N\r\n * cbrt(-I) = -I\r\n * cbrt(I) = I\r\n *\r\n * Math.cbrt(x) = (x < 0 ? -Math.pow(-x, 1/3) : Math.pow(x, 1/3))\r\n *\r\n */\n\n\n P.cubeRoot = P.cbrt = function () {\n var e,\n m,\n n,\n r,\n rep,\n s,\n sd,\n t,\n t3,\n t3plusx,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\n external = false; // Initial estimate.\n\n s = x.s * mathpow(x.s * x, 1 / 3); // Math.cbrt underflow/overflow?\n // Pass x to Math.pow as integer, then adjust the exponent of the result.\n\n if (!s || Math.abs(s) == 1 / 0) {\n n = digitsToString(x.d);\n e = x.e; // Adjust n exponent so it is a multiple of 3 away from x exponent.\n\n if (s = (e - n.length + 1) % 3) n += s == 1 || s == -2 ? '0' : '00';\n s = mathpow(n, 1 / 3); // Rarely, e may be one less than the result exponent value.\n\n e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2));\n\n if (s == 1 / 0) {\n n = '5e' + e;\n } else {\n n = s.toExponential();\n n = n.slice(0, n.indexOf('e') + 1) + e;\n }\n\n r = new Ctor(n);\n r.s = x.s;\n } else {\n r = new Ctor(s.toString());\n }\n\n sd = (e = Ctor.precision) + 3; // Halley's method.\n // TODO? Compare Newton's method.\n\n for (;;) {\n t = r;\n t3 = t.times(t).times(t);\n t3plusx = t3.plus(x);\n r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1); // TODO? Replace with for-loop and checkRoundingDigits.\n\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\n n = n.slice(sd - 3, sd + 1); // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or 4999\n // , i.e. approaching a rounding boundary, continue the iteration.\n\n if (n == '9999' || !rep && n == '4999') {\n // On the first iteration only, check to see if rounding up gives the exact result as the\n // nines may infinitely repeat.\n if (!rep) {\n finalise(t, e + 1, 0);\n\n if (t.times(t).times(t).eq(x)) {\n r = t;\n break;\n }\n }\n\n sd += 4;\n rep = 1;\n } else {\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\n // If not, then there are further digits and m will be truthy.\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\n // Truncate to the first rounding digit.\n finalise(r, e + 1, 1);\n m = !r.times(r).times(r).eq(x);\n }\n\n break;\n }\n }\n }\n\n external = true;\n return finalise(r, e, Ctor.rounding, m);\n };\n /*\r\n * Return the number of decimal places of the value of this Decimal.\r\n *\r\n */\n\n\n P.decimalPlaces = P.dp = function () {\n var w,\n d = this.d,\n n = NaN;\n\n if (d) {\n w = d.length - 1;\n n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE; // Subtract the number of trailing zeros of the last word.\n\n w = d[w];\n if (w) for (; w % 10 == 0; w /= 10) {\n n--;\n }\n if (n < 0) n = 0;\n }\n\n return n;\n };\n /*\r\n * n / 0 = I\r\n * n / N = N\r\n * n / I = 0\r\n * 0 / n = 0\r\n * 0 / 0 = N\r\n * 0 / N = N\r\n * 0 / I = 0\r\n * N / n = N\r\n * N / 0 = N\r\n * N / N = N\r\n * N / I = N\r\n * I / n = I\r\n * I / 0 = I\r\n * I / N = N\r\n * I / I = N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal divided by `y`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.dividedBy = P.div = function (y) {\n return divide(this, new this.constructor(y));\n };\n /*\r\n * Return a new Decimal whose value is the integer part of dividing the value of this Decimal\r\n * by the value of `y`, rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.dividedToIntegerBy = P.divToInt = function (y) {\n var x = this,\n Ctor = x.constructor;\n return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding);\n };\n /*\r\n * Return true if the value of this Decimal is equal to the value of `y`, otherwise return false.\r\n *\r\n */\n\n\n P.equals = P.eq = function (y) {\n return this.cmp(y) === 0;\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number in the\r\n * direction of negative Infinity.\r\n *\r\n */\n\n\n P.floor = function () {\n return finalise(new this.constructor(this), this.e + 1, 3);\n };\n /*\r\n * Return true if the value of this Decimal is greater than the value of `y`, otherwise return\r\n * false.\r\n *\r\n */\n\n\n P.greaterThan = P.gt = function (y) {\n return this.cmp(y) > 0;\n };\n /*\r\n * Return true if the value of this Decimal is greater than or equal to the value of `y`,\r\n * otherwise return false.\r\n *\r\n */\n\n\n P.greaterThanOrEqualTo = P.gte = function (y) {\n var k = this.cmp(y);\n return k == 1 || k === 0;\n };\n /*\r\n * Return a new Decimal whose value is the hyperbolic cosine of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [1, Infinity]\r\n *\r\n * cosh(x) = 1 + x^2/2! + x^4/4! + x^6/6! + ...\r\n *\r\n * cosh(0) = 1\r\n * cosh(-0) = 1\r\n * cosh(Infinity) = Infinity\r\n * cosh(-Infinity) = Infinity\r\n * cosh(NaN) = NaN\r\n *\r\n * x time taken (ms) result\r\n * 1000 9 9.8503555700852349694e+433\r\n * 10000 25 4.4034091128314607936e+4342\r\n * 100000 171 1.4033316802130615897e+43429\r\n * 1000000 3817 1.5166076984010437725e+434294\r\n * 10000000 abandoned after 2 minute wait\r\n *\r\n * TODO? Compare performance of cosh(x) = 0.5 * (exp(x) + exp(-x))\r\n *\r\n */\n\n\n P.hyperbolicCosine = P.cosh = function () {\n var k,\n n,\n pr,\n rm,\n len,\n x = this,\n Ctor = x.constructor,\n one = new Ctor(1);\n if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN);\n if (x.isZero()) return one;\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\n Ctor.rounding = 1;\n len = x.d.length; // Argument reduction: cos(4x) = 1 - 8cos^2(x) + 8cos^4(x) + 1\n // i.e. cos(x) = 1 - cos^2(x/4)(8 - 8cos^2(x/4))\n // Estimate the optimum number of times to use the argument reduction.\n // TODO? Estimation reused from cosine() and may not be optimal here.\n\n if (len < 32) {\n k = Math.ceil(len / 3);\n n = (1 / tinyPow(4, k)).toString();\n } else {\n k = 16;\n n = '2.3283064365386962890625e-10';\n }\n\n x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true); // Reverse argument reduction\n\n var cosh2_x,\n i = k,\n d8 = new Ctor(8);\n\n for (; i--;) {\n cosh2_x = x.times(x);\n x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8))));\n }\n\n return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true);\n };\n /*\r\n * Return a new Decimal whose value is the hyperbolic sine of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * sinh(x) = x + x^3/3! + x^5/5! + x^7/7! + ...\r\n *\r\n * sinh(0) = 0\r\n * sinh(-0) = -0\r\n * sinh(Infinity) = Infinity\r\n * sinh(-Infinity) = -Infinity\r\n * sinh(NaN) = NaN\r\n *\r\n * x time taken (ms)\r\n * 10 2 ms\r\n * 100 5 ms\r\n * 1000 14 ms\r\n * 10000 82 ms\r\n * 100000 886 ms 1.4033316802130615897e+43429\r\n * 200000 2613 ms\r\n * 300000 5407 ms\r\n * 400000 8824 ms\r\n * 500000 13026 ms 8.7080643612718084129e+217146\r\n * 1000000 48543 ms\r\n *\r\n * TODO? Compare performance of sinh(x) = 0.5 * (exp(x) - exp(-x))\r\n *\r\n */\n\n\n P.hyperbolicSine = P.sinh = function () {\n var k,\n pr,\n rm,\n len,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\n Ctor.rounding = 1;\n len = x.d.length;\n\n if (len < 3) {\n x = taylorSeries(Ctor, 2, x, x, true);\n } else {\n // Alternative argument reduction: sinh(3x) = sinh(x)(3 + 4sinh^2(x))\n // i.e. sinh(x) = sinh(x/3)(3 + 4sinh^2(x/3))\n // 3 multiplications and 1 addition\n // Argument reduction: sinh(5x) = sinh(x)(5 + sinh^2(x)(20 + 16sinh^2(x)))\n // i.e. sinh(x) = sinh(x/5)(5 + sinh^2(x/5)(20 + 16sinh^2(x/5)))\n // 4 multiplications and 2 additions\n // Estimate the optimum number of times to use the argument reduction.\n k = 1.4 * Math.sqrt(len);\n k = k > 16 ? 16 : k | 0;\n x = x.times(1 / tinyPow(5, k));\n x = taylorSeries(Ctor, 2, x, x, true); // Reverse argument reduction\n\n var sinh2_x,\n d5 = new Ctor(5),\n d16 = new Ctor(16),\n d20 = new Ctor(20);\n\n for (; k--;) {\n sinh2_x = x.times(x);\n x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20))));\n }\n }\n\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return finalise(x, pr, rm, true);\n };\n /*\r\n * Return a new Decimal whose value is the hyperbolic tangent of the value in radians of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * tanh(x) = sinh(x) / cosh(x)\r\n *\r\n * tanh(0) = 0\r\n * tanh(-0) = -0\r\n * tanh(Infinity) = 1\r\n * tanh(-Infinity) = -1\r\n * tanh(NaN) = NaN\r\n *\r\n */\n\n\n P.hyperbolicTangent = P.tanh = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite()) return new Ctor(x.s);\n if (x.isZero()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + 7;\n Ctor.rounding = 1;\n return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm);\n };\n /*\r\n * Return a new Decimal whose value is the arccosine (inverse cosine) in radians of the value of\r\n * this Decimal.\r\n *\r\n * Domain: [-1, 1]\r\n * Range: [0, pi]\r\n *\r\n * acos(x) = pi/2 - asin(x)\r\n *\r\n * acos(0) = pi/2\r\n * acos(-0) = pi/2\r\n * acos(1) = 0\r\n * acos(-1) = pi\r\n * acos(1/2) = pi/3\r\n * acos(-1/2) = 2*pi/3\r\n * acos(|x| > 1) = NaN\r\n * acos(NaN) = NaN\r\n *\r\n */\n\n\n P.inverseCosine = P.acos = function () {\n var halfPi,\n x = this,\n Ctor = x.constructor,\n k = x.abs().cmp(1),\n pr = Ctor.precision,\n rm = Ctor.rounding;\n\n if (k !== -1) {\n return k === 0 // |x| is 1\n ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0) // |x| > 1 or x is NaN\n : new Ctor(NaN);\n }\n\n if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5); // TODO? Special case acos(0.5) = pi/3 and acos(-0.5) = 2*pi/3\n\n Ctor.precision = pr + 6;\n Ctor.rounding = 1;\n x = x.asin();\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return halfPi.minus(x);\n };\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic cosine in radians of the\r\n * value of this Decimal.\r\n *\r\n * Domain: [1, Infinity]\r\n * Range: [0, Infinity]\r\n *\r\n * acosh(x) = ln(x + sqrt(x^2 - 1))\r\n *\r\n * acosh(x < 1) = NaN\r\n * acosh(NaN) = NaN\r\n * acosh(Infinity) = Infinity\r\n * acosh(-Infinity) = NaN\r\n * acosh(0) = NaN\r\n * acosh(-0) = NaN\r\n * acosh(1) = 0\r\n * acosh(-1) = NaN\r\n *\r\n */\n\n\n P.inverseHyperbolicCosine = P.acosh = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN);\n if (!x.isFinite()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4;\n Ctor.rounding = 1;\n external = false;\n x = x.times(x).minus(1).sqrt().plus(x);\n external = true;\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return x.ln();\n };\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic sine in radians of the value\r\n * of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * asinh(x) = ln(x + sqrt(x^2 + 1))\r\n *\r\n * asinh(NaN) = NaN\r\n * asinh(Infinity) = Infinity\r\n * asinh(-Infinity) = -Infinity\r\n * asinh(0) = 0\r\n * asinh(-0) = -0\r\n *\r\n */\n\n\n P.inverseHyperbolicSine = P.asinh = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6;\n Ctor.rounding = 1;\n external = false;\n x = x.times(x).plus(1).sqrt().plus(x);\n external = true;\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return x.ln();\n };\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic tangent in radians of the\r\n * value of this Decimal.\r\n *\r\n * Domain: [-1, 1]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * atanh(x) = 0.5 * ln((1 + x) / (1 - x))\r\n *\r\n * atanh(|x| > 1) = NaN\r\n * atanh(NaN) = NaN\r\n * atanh(Infinity) = NaN\r\n * atanh(-Infinity) = NaN\r\n * atanh(0) = 0\r\n * atanh(-0) = -0\r\n * atanh(1) = Infinity\r\n * atanh(-1) = -Infinity\r\n *\r\n */\n\n\n P.inverseHyperbolicTangent = P.atanh = function () {\n var pr,\n rm,\n wpr,\n xsd,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite()) return new Ctor(NaN);\n if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n xsd = x.sd();\n if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true);\n Ctor.precision = wpr = xsd - x.e;\n x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1);\n Ctor.precision = pr + 4;\n Ctor.rounding = 1;\n x = x.ln();\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return x.times(0.5);\n };\n /*\r\n * Return a new Decimal whose value is the arcsine (inverse sine) in radians of the value of this\r\n * Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi/2, pi/2]\r\n *\r\n * asin(x) = 2*atan(x/(1 + sqrt(1 - x^2)))\r\n *\r\n * asin(0) = 0\r\n * asin(-0) = -0\r\n * asin(1/2) = pi/6\r\n * asin(-1/2) = -pi/6\r\n * asin(1) = pi/2\r\n * asin(-1) = -pi/2\r\n * asin(|x| > 1) = NaN\r\n * asin(NaN) = NaN\r\n *\r\n * TODO? Compare performance of Taylor series.\r\n *\r\n */\n\n\n P.inverseSine = P.asin = function () {\n var halfPi,\n k,\n pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (x.isZero()) return new Ctor(x);\n k = x.abs().cmp(1);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n\n if (k !== -1) {\n // |x| is 1\n if (k === 0) {\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\n halfPi.s = x.s;\n return halfPi;\n } // |x| > 1 or x is NaN\n\n\n return new Ctor(NaN);\n } // TODO? Special case asin(1/2) = pi/6 and asin(-1/2) = -pi/6\n\n\n Ctor.precision = pr + 6;\n Ctor.rounding = 1;\n x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan();\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return x.times(2);\n };\n /*\r\n * Return a new Decimal whose value is the arctangent (inverse tangent) in radians of the value\r\n * of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi/2, pi/2]\r\n *\r\n * atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n *\r\n * atan(0) = 0\r\n * atan(-0) = -0\r\n * atan(1) = pi/4\r\n * atan(-1) = -pi/4\r\n * atan(Infinity) = pi/2\r\n * atan(-Infinity) = -pi/2\r\n * atan(NaN) = NaN\r\n *\r\n */\n\n\n P.inverseTangent = P.atan = function () {\n var i,\n j,\n k,\n n,\n px,\n t,\n r,\n wpr,\n x2,\n x = this,\n Ctor = x.constructor,\n pr = Ctor.precision,\n rm = Ctor.rounding;\n\n if (!x.isFinite()) {\n if (!x.s) return new Ctor(NaN);\n\n if (pr + 4 <= PI_PRECISION) {\n r = getPi(Ctor, pr + 4, rm).times(0.5);\n r.s = x.s;\n return r;\n }\n } else if (x.isZero()) {\n return new Ctor(x);\n } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) {\n r = getPi(Ctor, pr + 4, rm).times(0.25);\n r.s = x.s;\n return r;\n }\n\n Ctor.precision = wpr = pr + 10;\n Ctor.rounding = 1; // TODO? if (x >= 1 && pr <= PI_PRECISION) atan(x) = halfPi * x.s - atan(1 / x);\n // Argument reduction\n // Ensure |x| < 0.42\n // atan(x) = 2 * atan(x / (1 + sqrt(1 + x^2)))\n\n k = Math.min(28, wpr / LOG_BASE + 2 | 0);\n\n for (i = k; i; --i) {\n x = x.div(x.times(x).plus(1).sqrt().plus(1));\n }\n\n external = false;\n j = Math.ceil(wpr / LOG_BASE);\n n = 1;\n x2 = x.times(x);\n r = new Ctor(x);\n px = x; // atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\n\n for (; i !== -1;) {\n px = px.times(x2);\n t = r.minus(px.div(n += 2));\n px = px.times(x2);\n r = t.plus(px.div(n += 2));\n if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--;) {\n ;\n }\n }\n\n if (k) r = r.times(2 << k - 1);\n external = true;\n return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true);\n };\n /*\r\n * Return true if the value of this Decimal is a finite number, otherwise return false.\r\n *\r\n */\n\n\n P.isFinite = function () {\n return !!this.d;\n };\n /*\r\n * Return true if the value of this Decimal is an integer, otherwise return false.\r\n *\r\n */\n\n\n P.isInteger = P.isInt = function () {\n return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2;\n };\n /*\r\n * Return true if the value of this Decimal is NaN, otherwise return false.\r\n *\r\n */\n\n\n P.isNaN = function () {\n return !this.s;\n };\n /*\r\n * Return true if the value of this Decimal is negative, otherwise return false.\r\n *\r\n */\n\n\n P.isNegative = P.isNeg = function () {\n return this.s < 0;\n };\n /*\r\n * Return true if the value of this Decimal is positive, otherwise return false.\r\n *\r\n */\n\n\n P.isPositive = P.isPos = function () {\n return this.s > 0;\n };\n /*\r\n * Return true if the value of this Decimal is 0 or -0, otherwise return false.\r\n *\r\n */\n\n\n P.isZero = function () {\n return !!this.d && this.d[0] === 0;\n };\n /*\r\n * Return true if the value of this Decimal is less than `y`, otherwise return false.\r\n *\r\n */\n\n\n P.lessThan = P.lt = function (y) {\n return this.cmp(y) < 0;\n };\n /*\r\n * Return true if the value of this Decimal is less than or equal to `y`, otherwise return false.\r\n *\r\n */\n\n\n P.lessThanOrEqualTo = P.lte = function (y) {\n return this.cmp(y) < 1;\n };\n /*\r\n * Return the logarithm of the value of this Decimal to the specified base, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * If no base is specified, return log[10](arg).\r\n *\r\n * log[base](arg) = ln(arg) / ln(base)\r\n *\r\n * The result will always be correctly rounded if the base of the log is 10, and 'almost always'\r\n * otherwise:\r\n *\r\n * Depending on the rounding mode, the result may be incorrectly rounded if the first fifteen\r\n * rounding digits are [49]99999999999999 or [50]00000000000000. In that case, the maximum error\r\n * between the result and the correctly rounded result will be one ulp (unit in the last place).\r\n *\r\n * log[-b](a) = NaN\r\n * log[0](a) = NaN\r\n * log[1](a) = NaN\r\n * log[NaN](a) = NaN\r\n * log[Infinity](a) = NaN\r\n * log[b](0) = -Infinity\r\n * log[b](-0) = -Infinity\r\n * log[b](-a) = NaN\r\n * log[b](1) = 0\r\n * log[b](Infinity) = Infinity\r\n * log[b](NaN) = NaN\r\n *\r\n * [base] {number|string|Decimal} The base of the logarithm.\r\n *\r\n */\n\n\n P.logarithm = P.log = function (base) {\n var isBase10,\n d,\n denominator,\n k,\n inf,\n num,\n sd,\n r,\n arg = this,\n Ctor = arg.constructor,\n pr = Ctor.precision,\n rm = Ctor.rounding,\n guard = 5; // Default base is 10.\n\n if (base == null) {\n base = new Ctor(10);\n isBase10 = true;\n } else {\n base = new Ctor(base);\n d = base.d; // Return NaN if base is negative, or non-finite, or is 0 or 1.\n\n if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN);\n isBase10 = base.eq(10);\n }\n\n d = arg.d; // Is arg negative, non-finite, 0 or 1?\n\n if (arg.s < 0 || !d || !d[0] || arg.eq(1)) {\n return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0);\n } // The result will have a non-terminating decimal expansion if base is 10 and arg is not an\n // integer power of 10.\n\n\n if (isBase10) {\n if (d.length > 1) {\n inf = true;\n } else {\n for (k = d[0]; k % 10 === 0;) {\n k /= 10;\n }\n\n inf = k !== 1;\n }\n }\n\n external = false;\n sd = pr + guard;\n num = naturalLogarithm(arg, sd);\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd); // The result will have 5 rounding digits.\n\n r = divide(num, denominator, sd, 1); // If at a rounding boundary, i.e. the result's rounding digits are [49]9999 or [50]0000,\n // calculate 10 further digits.\n //\n // If the result is known to have an infinite decimal expansion, repeat this until it is clear\n // that the result is above or below the boundary. Otherwise, if after calculating the 10\n // further digits, the last 14 are nines, round up and assume the result is exact.\n // Also assume the result is exact if the last 14 are zero.\n //\n // Example of a result that will be incorrectly rounded:\n // log[1048576](4503599627370502) = 2.60000000000000009610279511444746...\n // The above result correctly rounded using ROUND_CEIL to 1 decimal place should be 2.7, but it\n // will be given as 2.6 as there are 15 zeros immediately after the requested decimal place, so\n // the exact result would be assumed to be 2.6, which rounded using ROUND_CEIL to 1 decimal\n // place is still 2.6.\n\n if (checkRoundingDigits(r.d, k = pr, rm)) {\n do {\n sd += 10;\n num = naturalLogarithm(arg, sd);\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\n r = divide(num, denominator, sd, 1);\n\n if (!inf) {\n // Check for 14 nines from the 2nd rounding digit, as the first may be 4.\n if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) {\n r = finalise(r, pr + 1, 0);\n }\n\n break;\n }\n } while (checkRoundingDigits(r.d, k += 10, rm));\n }\n\n external = true;\n return finalise(r, pr, rm);\n };\n /*\r\n * Return a new Decimal whose value is the maximum of the arguments and the value of this Decimal.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n P.max = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'lt');\r\n };\r\n */\n\n /*\r\n * Return a new Decimal whose value is the minimum of the arguments and the value of this Decimal.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n P.min = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'gt');\r\n };\r\n */\n\n /*\r\n * n - 0 = n\r\n * n - N = N\r\n * n - I = -I\r\n * 0 - n = -n\r\n * 0 - 0 = 0\r\n * 0 - N = N\r\n * 0 - I = -I\r\n * N - n = N\r\n * N - 0 = N\r\n * N - N = N\r\n * N - I = N\r\n * I - n = I\r\n * I - 0 = I\r\n * I - N = N\r\n * I - I = N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal minus `y`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.minus = P.sub = function (y) {\n var d,\n e,\n i,\n j,\n k,\n len,\n pr,\n rm,\n xd,\n xe,\n xLTy,\n yd,\n x = this,\n Ctor = x.constructor;\n y = new Ctor(y); // If either is not finite...\n\n if (!x.d || !y.d) {\n // Return NaN if either is NaN.\n if (!x.s || !y.s) y = new Ctor(NaN); // Return y negated if x is finite and y is ±Infinity.\n else if (x.d) y.s = -y.s; // Return x if y is finite and x is ±Infinity.\n // Return x if both are ±Infinity with different signs.\n // Return NaN if both are ±Infinity with the same sign.\n else y = new Ctor(y.d || x.s !== y.s ? x : NaN);\n return y;\n } // If signs differ...\n\n\n if (x.s != y.s) {\n y.s = -y.s;\n return x.plus(y);\n }\n\n xd = x.d;\n yd = y.d;\n pr = Ctor.precision;\n rm = Ctor.rounding; // If either is zero...\n\n if (!xd[0] || !yd[0]) {\n // Return y negated if x is zero and y is non-zero.\n if (yd[0]) y.s = -y.s; // Return x if y is zero and x is non-zero.\n else if (xd[0]) y = new Ctor(x); // Return zero if both are zero.\n // From IEEE 754 (2008) 6.3: 0 - 0 = -0 - -0 = -0 when rounding to -Infinity.\n else return new Ctor(rm === 3 ? -0 : 0);\n return external ? finalise(y, pr, rm) : y;\n } // x and y are finite, non-zero numbers with the same sign.\n // Calculate base 1e7 exponents.\n\n\n e = mathfloor(y.e / LOG_BASE);\n xe = mathfloor(x.e / LOG_BASE);\n xd = xd.slice();\n k = xe - e; // If base 1e7 exponents differ...\n\n if (k) {\n xLTy = k < 0;\n\n if (xLTy) {\n d = xd;\n k = -k;\n len = yd.length;\n } else {\n d = yd;\n e = xe;\n len = xd.length;\n } // Numbers with massively different exponents would result in a very high number of\n // zeros needing to be prepended, but this can be avoided while still ensuring correct\n // rounding by limiting the number of zeros to `Math.ceil(pr / LOG_BASE) + 2`.\n\n\n i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2;\n\n if (k > i) {\n k = i;\n d.length = 1;\n } // Prepend zeros to equalise exponents.\n\n\n d.reverse();\n\n for (i = k; i--;) {\n d.push(0);\n }\n\n d.reverse(); // Base 1e7 exponents equal.\n } else {\n // Check digits to determine which is the bigger number.\n i = xd.length;\n len = yd.length;\n xLTy = i < len;\n if (xLTy) len = i;\n\n for (i = 0; i < len; i++) {\n if (xd[i] != yd[i]) {\n xLTy = xd[i] < yd[i];\n break;\n }\n }\n\n k = 0;\n }\n\n if (xLTy) {\n d = xd;\n xd = yd;\n yd = d;\n y.s = -y.s;\n }\n\n len = xd.length; // Append zeros to `xd` if shorter.\n // Don't add zeros to `yd` if shorter as subtraction only needs to start at `yd` length.\n\n for (i = yd.length - len; i > 0; --i) {\n xd[len++] = 0;\n } // Subtract yd from xd.\n\n\n for (i = yd.length; i > k;) {\n if (xd[--i] < yd[i]) {\n for (j = i; j && xd[--j] === 0;) {\n xd[j] = BASE - 1;\n }\n\n --xd[j];\n xd[i] += BASE;\n }\n\n xd[i] -= yd[i];\n } // Remove trailing zeros.\n\n\n for (; xd[--len] === 0;) {\n xd.pop();\n } // Remove leading zeros and adjust exponent accordingly.\n\n\n for (; xd[0] === 0; xd.shift()) {\n --e;\n } // Zero?\n\n\n if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0);\n y.d = xd;\n y.e = getBase10Exponent(xd, e);\n return external ? finalise(y, pr, rm) : y;\n };\n /*\r\n * n % 0 = N\r\n * n % N = N\r\n * n % I = n\r\n * 0 % n = 0\r\n * -0 % n = -0\r\n * 0 % 0 = N\r\n * 0 % N = N\r\n * 0 % I = 0\r\n * N % n = N\r\n * N % 0 = N\r\n * N % N = N\r\n * N % I = N\r\n * I % n = N\r\n * I % 0 = N\r\n * I % N = N\r\n * I % I = N\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal modulo `y`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * The result depends on the modulo mode.\r\n *\r\n */\n\n\n P.modulo = P.mod = function (y) {\n var q,\n x = this,\n Ctor = x.constructor;\n y = new Ctor(y); // Return NaN if x is ±Infinity or NaN, or y is NaN or ±0.\n\n if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN); // Return x if y is ±Infinity or x is ±0.\n\n if (!y.d || x.d && !x.d[0]) {\n return finalise(new Ctor(x), Ctor.precision, Ctor.rounding);\n } // Prevent rounding of intermediate calculations.\n\n\n external = false;\n\n if (Ctor.modulo == 9) {\n // Euclidian division: q = sign(y) * floor(x / abs(y))\n // result = x - q * y where 0 <= result < abs(y)\n q = divide(x, y.abs(), 0, 3, 1);\n q.s *= y.s;\n } else {\n q = divide(x, y, 0, Ctor.modulo, 1);\n }\n\n q = q.times(y);\n external = true;\n return x.minus(q);\n };\n /*\r\n * Return a new Decimal whose value is the natural exponential of the value of this Decimal,\r\n * i.e. the base e raised to the power the value of this Decimal, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.naturalExponential = P.exp = function () {\n return naturalExponential(this);\n };\n /*\r\n * Return a new Decimal whose value is the natural logarithm of the value of this Decimal,\r\n * rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.naturalLogarithm = P.ln = function () {\n return naturalLogarithm(this);\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal negated, i.e. as if multiplied by\r\n * -1.\r\n *\r\n */\n\n\n P.negated = P.neg = function () {\n var x = new this.constructor(this);\n x.s = -x.s;\n return finalise(x);\n };\n /*\r\n * n + 0 = n\r\n * n + N = N\r\n * n + I = I\r\n * 0 + n = n\r\n * 0 + 0 = 0\r\n * 0 + N = N\r\n * 0 + I = I\r\n * N + n = N\r\n * N + 0 = N\r\n * N + N = N\r\n * N + I = N\r\n * I + n = I\r\n * I + 0 = I\r\n * I + N = N\r\n * I + I = I\r\n *\r\n * Return a new Decimal whose value is the value of this Decimal plus `y`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.plus = P.add = function (y) {\n var carry,\n d,\n e,\n i,\n k,\n len,\n pr,\n rm,\n xd,\n yd,\n x = this,\n Ctor = x.constructor;\n y = new Ctor(y); // If either is not finite...\n\n if (!x.d || !y.d) {\n // Return NaN if either is NaN.\n if (!x.s || !y.s) y = new Ctor(NaN); // Return x if y is finite and x is ±Infinity.\n // Return x if both are ±Infinity with the same sign.\n // Return NaN if both are ±Infinity with different signs.\n // Return y if x is finite and y is ±Infinity.\n else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN);\n return y;\n } // If signs differ...\n\n\n if (x.s != y.s) {\n y.s = -y.s;\n return x.minus(y);\n }\n\n xd = x.d;\n yd = y.d;\n pr = Ctor.precision;\n rm = Ctor.rounding; // If either is zero...\n\n if (!xd[0] || !yd[0]) {\n // Return x if y is zero.\n // Return y if y is non-zero.\n if (!yd[0]) y = new Ctor(x);\n return external ? finalise(y, pr, rm) : y;\n } // x and y are finite, non-zero numbers with the same sign.\n // Calculate base 1e7 exponents.\n\n\n k = mathfloor(x.e / LOG_BASE);\n e = mathfloor(y.e / LOG_BASE);\n xd = xd.slice();\n i = k - e; // If base 1e7 exponents differ...\n\n if (i) {\n if (i < 0) {\n d = xd;\n i = -i;\n len = yd.length;\n } else {\n d = yd;\n e = k;\n len = xd.length;\n } // Limit number of zeros prepended to max(ceil(pr / LOG_BASE), len) + 1.\n\n\n k = Math.ceil(pr / LOG_BASE);\n len = k > len ? k + 1 : len + 1;\n\n if (i > len) {\n i = len;\n d.length = 1;\n } // Prepend zeros to equalise exponents. Note: Faster to use reverse then do unshifts.\n\n\n d.reverse();\n\n for (; i--;) {\n d.push(0);\n }\n\n d.reverse();\n }\n\n len = xd.length;\n i = yd.length; // If yd is longer than xd, swap xd and yd so xd points to the longer array.\n\n if (len - i < 0) {\n i = len;\n d = yd;\n yd = xd;\n xd = d;\n } // Only start adding at yd.length - 1 as the further digits of xd can be left as they are.\n\n\n for (carry = 0; i;) {\n carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0;\n xd[i] %= BASE;\n }\n\n if (carry) {\n xd.unshift(carry);\n ++e;\n } // Remove trailing zeros.\n // No need to check for zero, as +x + +y != 0 && -x + -y != 0\n\n\n for (len = xd.length; xd[--len] == 0;) {\n xd.pop();\n }\n\n y.d = xd;\n y.e = getBase10Exponent(xd, e);\n return external ? finalise(y, pr, rm) : y;\n };\n /*\r\n * Return the number of significant digits of the value of this Decimal.\r\n *\r\n * [z] {boolean|number} Whether to count integer-part trailing zeros: true, false, 1 or 0.\r\n *\r\n */\n\n\n P.precision = P.sd = function (z) {\n var k,\n x = this;\n if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z);\n\n if (x.d) {\n k = getPrecision(x.d);\n if (z && x.e + 1 > k) k = x.e + 1;\n } else {\n k = NaN;\n }\n\n return k;\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a whole number using\r\n * rounding mode `rounding`.\r\n *\r\n */\n\n\n P.round = function () {\n var x = this,\n Ctor = x.constructor;\n return finalise(new Ctor(x), x.e + 1, Ctor.rounding);\n };\n /*\r\n * Return a new Decimal whose value is the sine of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-1, 1]\r\n *\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n *\r\n * sin(0) = 0\r\n * sin(-0) = -0\r\n * sin(Infinity) = NaN\r\n * sin(-Infinity) = NaN\r\n * sin(NaN) = NaN\r\n *\r\n */\n\n\n P.sine = P.sin = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite()) return new Ctor(NaN);\n if (x.isZero()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\n Ctor.rounding = 1;\n x = sine(Ctor, toLessThanHalfPi(Ctor, x));\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true);\n };\n /*\r\n * Return a new Decimal whose value is the square root of this Decimal, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * sqrt(-n) = N\r\n * sqrt(N) = N\r\n * sqrt(-I) = N\r\n * sqrt(I) = I\r\n * sqrt(0) = 0\r\n * sqrt(-0) = -0\r\n *\r\n */\n\n\n P.squareRoot = P.sqrt = function () {\n var m,\n n,\n sd,\n r,\n rep,\n t,\n x = this,\n d = x.d,\n e = x.e,\n s = x.s,\n Ctor = x.constructor; // Negative/NaN/Infinity/zero?\n\n if (s !== 1 || !d || !d[0]) {\n return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0);\n }\n\n external = false; // Initial estimate.\n\n s = Math.sqrt(+x); // Math.sqrt underflow/overflow?\n // Pass x to Math.sqrt as integer, then adjust the exponent of the result.\n\n if (s == 0 || s == 1 / 0) {\n n = digitsToString(d);\n if ((n.length + e) % 2 == 0) n += '0';\n s = Math.sqrt(n);\n e = mathfloor((e + 1) / 2) - (e < 0 || e % 2);\n\n if (s == 1 / 0) {\n n = '5e' + e;\n } else {\n n = s.toExponential();\n n = n.slice(0, n.indexOf('e') + 1) + e;\n }\n\n r = new Ctor(n);\n } else {\n r = new Ctor(s.toString());\n }\n\n sd = (e = Ctor.precision) + 3; // Newton-Raphson iteration.\n\n for (;;) {\n t = r;\n r = t.plus(divide(x, t, sd + 2, 1)).times(0.5); // TODO? Replace with for-loop and checkRoundingDigits.\n\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\n n = n.slice(sd - 3, sd + 1); // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or\n // 4999, i.e. approaching a rounding boundary, continue the iteration.\n\n if (n == '9999' || !rep && n == '4999') {\n // On the first iteration only, check to see if rounding up gives the exact result as the\n // nines may infinitely repeat.\n if (!rep) {\n finalise(t, e + 1, 0);\n\n if (t.times(t).eq(x)) {\n r = t;\n break;\n }\n }\n\n sd += 4;\n rep = 1;\n } else {\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\n // If not, then there are further digits and m will be truthy.\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\n // Truncate to the first rounding digit.\n finalise(r, e + 1, 1);\n m = !r.times(r).eq(x);\n }\n\n break;\n }\n }\n }\n\n external = true;\n return finalise(r, e, Ctor.rounding, m);\n };\n /*\r\n * Return a new Decimal whose value is the tangent of the value in radians of this Decimal.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-Infinity, Infinity]\r\n *\r\n * tan(0) = 0\r\n * tan(-0) = -0\r\n * tan(Infinity) = NaN\r\n * tan(-Infinity) = NaN\r\n * tan(NaN) = NaN\r\n *\r\n */\n\n\n P.tangent = P.tan = function () {\n var pr,\n rm,\n x = this,\n Ctor = x.constructor;\n if (!x.isFinite()) return new Ctor(NaN);\n if (x.isZero()) return new Ctor(x);\n pr = Ctor.precision;\n rm = Ctor.rounding;\n Ctor.precision = pr + 10;\n Ctor.rounding = 1;\n x = x.sin();\n x.s = 1;\n x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0);\n Ctor.precision = pr;\n Ctor.rounding = rm;\n return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true);\n };\n /*\r\n * n * 0 = 0\r\n * n * N = N\r\n * n * I = I\r\n * 0 * n = 0\r\n * 0 * 0 = 0\r\n * 0 * N = N\r\n * 0 * I = N\r\n * N * n = N\r\n * N * 0 = N\r\n * N * N = N\r\n * N * I = N\r\n * I * n = I\r\n * I * 0 = N\r\n * I * N = N\r\n * I * I = I\r\n *\r\n * Return a new Decimal whose value is this Decimal times `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n */\n\n\n P.times = P.mul = function (y) {\n var carry,\n e,\n i,\n k,\n r,\n rL,\n t,\n xdL,\n ydL,\n x = this,\n Ctor = x.constructor,\n xd = x.d,\n yd = (y = new Ctor(y)).d;\n y.s *= x.s; // If either is NaN, ±Infinity or ±0...\n\n if (!xd || !xd[0] || !yd || !yd[0]) {\n return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd // Return NaN if either is NaN.\n // Return NaN if x is ±0 and y is ±Infinity, or y is ±0 and x is ±Infinity.\n ? NaN // Return ±Infinity if either is ±Infinity.\n // Return ±0 if either is ±0.\n : !xd || !yd ? y.s / 0 : y.s * 0);\n }\n\n e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE);\n xdL = xd.length;\n ydL = yd.length; // Ensure xd points to the longer array.\n\n if (xdL < ydL) {\n r = xd;\n xd = yd;\n yd = r;\n rL = xdL;\n xdL = ydL;\n ydL = rL;\n } // Initialise the result array with zeros.\n\n\n r = [];\n rL = xdL + ydL;\n\n for (i = rL; i--;) {\n r.push(0);\n } // Multiply!\n\n\n for (i = ydL; --i >= 0;) {\n carry = 0;\n\n for (k = xdL + i; k > i;) {\n t = r[k] + yd[i] * xd[k - i - 1] + carry;\n r[k--] = t % BASE | 0;\n carry = t / BASE | 0;\n }\n\n r[k] = (r[k] + carry) % BASE | 0;\n } // Remove trailing zeros.\n\n\n for (; !r[--rL];) {\n r.pop();\n }\n\n if (carry) ++e;else r.shift();\n y.d = r;\n y.e = getBase10Exponent(r, e);\n return external ? finalise(y, Ctor.precision, Ctor.rounding) : y;\n };\n /*\r\n * Return a string representing the value of this Decimal in base 2, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toBinary = function (sd, rm) {\n return toStringBinary(this, 2, sd, rm);\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `dp`\r\n * decimal places using rounding mode `rm` or `rounding` if `rm` is omitted.\r\n *\r\n * If `dp` is omitted, return a new Decimal whose value is the value of this Decimal.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toDecimalPlaces = P.toDP = function (dp, rm) {\n var x = this,\n Ctor = x.constructor;\n x = new Ctor(x);\n if (dp === void 0) return x;\n checkInt32(dp, 0, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n return finalise(x, dp + x.e + 1, rm);\n };\n /*\r\n * Return a string representing the value of this Decimal in exponential notation rounded to\r\n * `dp` fixed decimal places using rounding mode `rounding`.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toExponential = function (dp, rm) {\n var str,\n x = this,\n Ctor = x.constructor;\n\n if (dp === void 0) {\n str = finiteToString(x, true);\n } else {\n checkInt32(dp, 0, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n x = finalise(new Ctor(x), dp + 1, rm);\n str = finiteToString(x, true, dp + 1);\n }\n\n return x.isNeg() && !x.isZero() ? '-' + str : str;\n };\n /*\r\n * Return a string representing the value of this Decimal in normal (fixed-point) notation to\r\n * `dp` fixed decimal places and rounded using rounding mode `rm` or `rounding` if `rm` is\r\n * omitted.\r\n *\r\n * As with JavaScript numbers, (-0).toFixed(0) is '0', but e.g. (-0.00001).toFixed(0) is '-0'.\r\n *\r\n * [dp] {number} Decimal places. Integer, 0 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * (-0).toFixed(0) is '0', but (-0.1).toFixed(0) is '-0'.\r\n * (-0).toFixed(1) is '0.0', but (-0.01).toFixed(1) is '-0.0'.\r\n * (-0).toFixed(3) is '0.000'.\r\n * (-0.5).toFixed(0) is '-0'.\r\n *\r\n */\n\n\n P.toFixed = function (dp, rm) {\n var str,\n y,\n x = this,\n Ctor = x.constructor;\n\n if (dp === void 0) {\n str = finiteToString(x);\n } else {\n checkInt32(dp, 0, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n y = finalise(new Ctor(x), dp + x.e + 1, rm);\n str = finiteToString(y, false, dp + y.e + 1);\n } // To determine whether to add the minus sign look at the value before it was rounded,\n // i.e. look at `x` rather than `y`.\n\n\n return x.isNeg() && !x.isZero() ? '-' + str : str;\n };\n /*\r\n * Return an array representing the value of this Decimal as a simple fraction with an integer\r\n * numerator and an integer denominator.\r\n *\r\n * The denominator will be a positive non-zero value less than or equal to the specified maximum\r\n * denominator. If a maximum denominator is not specified, the denominator will be the lowest\r\n * value necessary to represent the number exactly.\r\n *\r\n * [maxD] {number|string|Decimal} Maximum denominator. Integer >= 1 and < Infinity.\r\n *\r\n */\n\n\n P.toFraction = function (maxD) {\n var d,\n d0,\n d1,\n d2,\n e,\n k,\n n,\n n0,\n n1,\n pr,\n q,\n r,\n x = this,\n xd = x.d,\n Ctor = x.constructor;\n if (!xd) return new Ctor(x);\n n1 = d0 = new Ctor(1);\n d1 = n0 = new Ctor(0);\n d = new Ctor(d1);\n e = d.e = getPrecision(xd) - x.e - 1;\n k = e % LOG_BASE;\n d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k);\n\n if (maxD == null) {\n // d is 10**e, the minimum max-denominator needed.\n maxD = e > 0 ? d : n1;\n } else {\n n = new Ctor(maxD);\n if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n);\n maxD = n.gt(d) ? e > 0 ? d : n1 : n;\n }\n\n external = false;\n n = new Ctor(digitsToString(xd));\n pr = Ctor.precision;\n Ctor.precision = e = xd.length * LOG_BASE * 2;\n\n for (;;) {\n q = divide(n, d, 0, 1, 1);\n d2 = d0.plus(q.times(d1));\n if (d2.cmp(maxD) == 1) break;\n d0 = d1;\n d1 = d2;\n d2 = n1;\n n1 = n0.plus(q.times(d2));\n n0 = d2;\n d2 = d;\n d = n.minus(q.times(d2));\n n = d2;\n }\n\n d2 = divide(maxD.minus(d0), d1, 0, 1, 1);\n n0 = n0.plus(d2.times(n1));\n d0 = d0.plus(d2.times(d1));\n n0.s = n1.s = x.s; // Determine which fraction is closer to x, n0/d0 or n1/d1?\n\n r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1 ? [n1, d1] : [n0, d0];\n Ctor.precision = pr;\n external = true;\n return r;\n };\n /*\r\n * Return a string representing the value of this Decimal in base 16, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toHexadecimal = P.toHex = function (sd, rm) {\n return toStringBinary(this, 16, sd, rm);\n };\n /*\r\n * Returns a new Decimal whose value is the nearest multiple of `y` in the direction of rounding\r\n * mode `rm`, or `Decimal.rounding` if `rm` is omitted, to the value of this Decimal.\r\n *\r\n * The return value will always have the same sign as this Decimal, unless either this Decimal\r\n * or `y` is NaN, in which case the return value will be also be NaN.\r\n *\r\n * The return value is not affected by the value of `precision`.\r\n *\r\n * y {number|string|Decimal} The magnitude to round to a multiple of.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * 'toNearest() rounding mode not an integer: {rm}'\r\n * 'toNearest() rounding mode out of range: {rm}'\r\n *\r\n */\n\n\n P.toNearest = function (y, rm) {\n var x = this,\n Ctor = x.constructor;\n x = new Ctor(x);\n\n if (y == null) {\n // If x is not finite, return x.\n if (!x.d) return x;\n y = new Ctor(1);\n rm = Ctor.rounding;\n } else {\n y = new Ctor(y);\n\n if (rm === void 0) {\n rm = Ctor.rounding;\n } else {\n checkInt32(rm, 0, 8);\n } // If x is not finite, return x if y is not NaN, else NaN.\n\n\n if (!x.d) return y.s ? x : y; // If y is not finite, return Infinity with the sign of x if y is Infinity, else NaN.\n\n if (!y.d) {\n if (y.s) y.s = x.s;\n return y;\n }\n } // If y is not zero, calculate the nearest multiple of y to x.\n\n\n if (y.d[0]) {\n external = false;\n x = divide(x, y, 0, rm, 1).times(y);\n external = true;\n finalise(x); // If y is zero, return zero with the sign of x.\n } else {\n y.s = x.s;\n x = y;\n }\n\n return x;\n };\n /*\r\n * Return the value of this Decimal converted to a number primitive.\r\n * Zero keeps its sign.\r\n *\r\n */\n\n\n P.toNumber = function () {\n return +this;\n };\n /*\r\n * Return a string representing the value of this Decimal in base 8, round to `sd` significant\r\n * digits using rounding mode `rm`.\r\n *\r\n * If the optional `sd` argument is present then return binary exponential notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toOctal = function (sd, rm) {\n return toStringBinary(this, 8, sd, rm);\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal raised to the power `y`, rounded\r\n * to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * ECMAScript compliant.\r\n *\r\n * pow(x, NaN) = NaN\r\n * pow(x, ±0) = 1\r\n * pow(NaN, non-zero) = NaN\r\n * pow(abs(x) > 1, +Infinity) = +Infinity\r\n * pow(abs(x) > 1, -Infinity) = +0\r\n * pow(abs(x) == 1, ±Infinity) = NaN\r\n * pow(abs(x) < 1, +Infinity) = +0\r\n * pow(abs(x) < 1, -Infinity) = +Infinity\r\n * pow(+Infinity, y > 0) = +Infinity\r\n * pow(+Infinity, y < 0) = +0\r\n * pow(-Infinity, odd integer > 0) = -Infinity\r\n * pow(-Infinity, even integer > 0) = +Infinity\r\n * pow(-Infinity, odd integer < 0) = -0\r\n * pow(-Infinity, even integer < 0) = +0\r\n * pow(+0, y > 0) = +0\r\n * pow(+0, y < 0) = +Infinity\r\n * pow(-0, odd integer > 0) = -0\r\n * pow(-0, even integer > 0) = +0\r\n * pow(-0, odd integer < 0) = -Infinity\r\n * pow(-0, even integer < 0) = +Infinity\r\n * pow(finite x < 0, finite non-integer) = NaN\r\n *\r\n * For non-integer or very large exponents pow(x, y) is calculated using\r\n *\r\n * x^y = exp(y*ln(x))\r\n *\r\n * Assuming the first 15 rounding digits are each equally likely to be any digit 0-9, the\r\n * probability of an incorrectly rounded result\r\n * P([49]9{14} | [50]0{14}) = 2 * 0.2 * 10^-14 = 4e-15 = 1/2.5e+14\r\n * i.e. 1 in 250,000,000,000,000\r\n *\r\n * If a result is incorrectly rounded the maximum error will be 1 ulp (unit in last place).\r\n *\r\n * y {number|string|Decimal} The power to which to raise this Decimal.\r\n *\r\n */\n\n\n P.toPower = P.pow = function (y) {\n var e,\n k,\n pr,\n r,\n rm,\n s,\n x = this,\n Ctor = x.constructor,\n yn = +(y = new Ctor(y)); // Either ±Infinity, NaN or ±0?\n\n if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn));\n x = new Ctor(x);\n if (x.eq(1)) return x;\n pr = Ctor.precision;\n rm = Ctor.rounding;\n if (y.eq(1)) return finalise(x, pr, rm); // y exponent\n\n e = mathfloor(y.e / LOG_BASE); // If y is a small integer use the 'exponentiation by squaring' algorithm.\n\n if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) {\n r = intPow(Ctor, x, k, pr);\n return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm);\n }\n\n s = x.s; // if x is negative\n\n if (s < 0) {\n // if y is not an integer\n if (e < y.d.length - 1) return new Ctor(NaN); // Result is positive if x is negative and the last digit of integer y is even.\n\n if ((y.d[e] & 1) == 0) s = 1; // if x.eq(-1)\n\n if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) {\n x.s = s;\n return x;\n }\n } // Estimate result exponent.\n // x^y = 10^e, where e = y * log10(x)\n // log10(x) = log10(x_significand) + x_exponent\n // log10(x_significand) = ln(x_significand) / ln(10)\n\n\n k = mathpow(+x, yn);\n e = k == 0 || !isFinite(k) ? mathfloor(yn * (Math.log('0.' + digitsToString(x.d)) / Math.LN10 + x.e + 1)) : new Ctor(k + '').e; // Exponent estimate may be incorrect e.g. x: 0.999999999999999999, y: 2.29, e: 0, r.e: -1.\n // Overflow/underflow?\n\n if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0);\n external = false;\n Ctor.rounding = x.s = 1; // Estimate the extra guard digits needed to ensure five correct rounding digits from\n // naturalLogarithm(x). Example of failure without these extra digits (precision: 10):\n // new Decimal(2.32456).pow('2087987436534566.46411')\n // should be 1.162377823e+764914905173815, but is 1.162355823e+764914905173815\n\n k = Math.min(12, (e + '').length); // r = x^y = exp(y*ln(x))\n\n r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr); // r may be Infinity, e.g. (0.9999999999999999).pow(-1e+40)\n\n if (r.d) {\n // Truncate to the required precision plus five rounding digits.\n r = finalise(r, pr + 5, 1); // If the rounding digits are [49]9999 or [50]0000 increase the precision by 10 and recalculate\n // the result.\n\n if (checkRoundingDigits(r.d, pr, rm)) {\n e = pr + 10; // Truncate to the increased precision plus five rounding digits.\n\n r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1); // Check for 14 nines from the 2nd rounding digit (the first rounding digit may be 4 or 9).\n\n if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) {\n r = finalise(r, pr + 1, 0);\n }\n }\n }\n\n r.s = s;\n external = true;\n Ctor.rounding = rm;\n return finalise(r, pr, rm);\n };\n /*\r\n * Return a string representing the value of this Decimal rounded to `sd` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * Return exponential notation if `sd` is less than the number of digits necessary to represent\r\n * the integer part of the value in normal notation.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n */\n\n\n P.toPrecision = function (sd, rm) {\n var str,\n x = this,\n Ctor = x.constructor;\n\n if (sd === void 0) {\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n } else {\n checkInt32(sd, 1, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n x = finalise(new Ctor(x), sd, rm);\n str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd);\n }\n\n return x.isNeg() && !x.isZero() ? '-' + str : str;\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal rounded to a maximum of `sd`\r\n * significant digits using rounding mode `rm`, or to `precision` and `rounding` respectively if\r\n * omitted.\r\n *\r\n * [sd] {number} Significant digits. Integer, 1 to MAX_DIGITS inclusive.\r\n * [rm] {number} Rounding mode. Integer, 0 to 8 inclusive.\r\n *\r\n * 'toSD() digits out of range: {sd}'\r\n * 'toSD() digits not an integer: {sd}'\r\n * 'toSD() rounding mode not an integer: {rm}'\r\n * 'toSD() rounding mode out of range: {rm}'\r\n *\r\n */\n\n\n P.toSignificantDigits = P.toSD = function (sd, rm) {\n var x = this,\n Ctor = x.constructor;\n\n if (sd === void 0) {\n sd = Ctor.precision;\n rm = Ctor.rounding;\n } else {\n checkInt32(sd, 1, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n }\n\n return finalise(new Ctor(x), sd, rm);\n };\n /*\r\n * Return a string representing the value of this Decimal.\r\n *\r\n * Return exponential notation if this Decimal has a positive exponent equal to or greater than\r\n * `toExpPos`, or a negative exponent equal to or less than `toExpNeg`.\r\n *\r\n */\n\n\n P.toString = function () {\n var x = this,\n Ctor = x.constructor,\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n return x.isNeg() && !x.isZero() ? '-' + str : str;\n };\n /*\r\n * Return a new Decimal whose value is the value of this Decimal truncated to a whole number.\r\n *\r\n */\n\n\n P.truncated = P.trunc = function () {\n return finalise(new this.constructor(this), this.e + 1, 1);\n };\n /*\r\n * Return a string representing the value of this Decimal.\r\n * Unlike `toString`, negative zero will include the minus sign.\r\n *\r\n */\n\n\n P.valueOf = P.toJSON = function () {\n var x = this,\n Ctor = x.constructor,\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\n return x.isNeg() ? '-' + str : str;\n };\n /*\r\n // Add aliases to match BigDecimal method names.\r\n // P.add = P.plus;\r\n P.subtract = P.minus;\r\n P.multiply = P.times;\r\n P.divide = P.div;\r\n P.remainder = P.mod;\r\n P.compareTo = P.cmp;\r\n P.negate = P.neg;\r\n */\n // Helper functions for Decimal.prototype (P) and/or Decimal methods, and their callers.\n\n /*\r\n * digitsToString P.cubeRoot, P.logarithm, P.squareRoot, P.toFraction, P.toPower,\r\n * finiteToString, naturalExponential, naturalLogarithm\r\n * checkInt32 P.toDecimalPlaces, P.toExponential, P.toFixed, P.toNearest,\r\n * P.toPrecision, P.toSignificantDigits, toStringBinary, random\r\n * checkRoundingDigits P.logarithm, P.toPower, naturalExponential, naturalLogarithm\r\n * convertBase toStringBinary, parseOther\r\n * cos P.cos\r\n * divide P.atanh, P.cubeRoot, P.dividedBy, P.dividedToIntegerBy,\r\n * P.logarithm, P.modulo, P.squareRoot, P.tan, P.tanh, P.toFraction,\r\n * P.toNearest, toStringBinary, naturalExponential, naturalLogarithm,\r\n * taylorSeries, atan2, parseOther\r\n * finalise P.absoluteValue, P.atan, P.atanh, P.ceil, P.cos, P.cosh,\r\n * P.cubeRoot, P.dividedToIntegerBy, P.floor, P.logarithm, P.minus,\r\n * P.modulo, P.negated, P.plus, P.round, P.sin, P.sinh, P.squareRoot,\r\n * P.tan, P.times, P.toDecimalPlaces, P.toExponential, P.toFixed,\r\n * P.toNearest, P.toPower, P.toPrecision, P.toSignificantDigits,\r\n * P.truncated, divide, getLn10, getPi, naturalExponential,\r\n * naturalLogarithm, ceil, floor, round, trunc\r\n * finiteToString P.toExponential, P.toFixed, P.toPrecision, P.toString, P.valueOf,\r\n * toStringBinary\r\n * getBase10Exponent P.minus, P.plus, P.times, parseOther\r\n * getLn10 P.logarithm, naturalLogarithm\r\n * getPi P.acos, P.asin, P.atan, toLessThanHalfPi, atan2\r\n * getPrecision P.precision, P.toFraction\r\n * getZeroString digitsToString, finiteToString\r\n * intPow P.toPower, parseOther\r\n * isOdd toLessThanHalfPi\r\n * maxOrMin max, min\r\n * naturalExponential P.naturalExponential, P.toPower\r\n * naturalLogarithm P.acosh, P.asinh, P.atanh, P.logarithm, P.naturalLogarithm,\r\n * P.toPower, naturalExponential\r\n * nonFiniteToString finiteToString, toStringBinary\r\n * parseDecimal Decimal\r\n * parseOther Decimal\r\n * sin P.sin\r\n * taylorSeries P.cosh, P.sinh, cos, sin\r\n * toLessThanHalfPi P.cos, P.sin\r\n * toStringBinary P.toBinary, P.toHexadecimal, P.toOctal\r\n * truncate intPow\r\n *\r\n * Throws: P.logarithm, P.precision, P.toFraction, checkInt32, getLn10, getPi,\r\n * naturalLogarithm, config, parseOther, random, Decimal\r\n */\n\n\n function digitsToString(d) {\n var i,\n k,\n ws,\n indexOfLastWord = d.length - 1,\n str = '',\n w = d[0];\n\n if (indexOfLastWord > 0) {\n str += w;\n\n for (i = 1; i < indexOfLastWord; i++) {\n ws = d[i] + '';\n k = LOG_BASE - ws.length;\n if (k) str += getZeroString(k);\n str += ws;\n }\n\n w = d[i];\n ws = w + '';\n k = LOG_BASE - ws.length;\n if (k) str += getZeroString(k);\n } else if (w === 0) {\n return '0';\n } // Remove trailing zeros of last w.\n\n\n for (; w % 10 === 0;) {\n w /= 10;\n }\n\n return str + w;\n }\n\n function checkInt32(i, min, max) {\n if (i !== ~~i || i < min || i > max) {\n throw Error(invalidArgument + i);\n }\n }\n /*\r\n * Check 5 rounding digits if `repeating` is null, 4 otherwise.\r\n * `repeating == null` if caller is `log` or `pow`,\r\n * `repeating != null` if caller is `naturalLogarithm` or `naturalExponential`.\r\n */\n\n\n function checkRoundingDigits(d, i, rm, repeating) {\n var di, k, r, rd; // Get the length of the first word of the array d.\n\n for (k = d[0]; k >= 10; k /= 10) {\n --i;\n } // Is the rounding digit in the first word of d?\n\n\n if (--i < 0) {\n i += LOG_BASE;\n di = 0;\n } else {\n di = Math.ceil((i + 1) / LOG_BASE);\n i %= LOG_BASE;\n } // i is the index (0 - 6) of the rounding digit.\n // E.g. if within the word 3487563 the first rounding digit is 5,\n // then i = 4, k = 1000, rd = 3487563 % 1000 = 563\n\n\n k = mathpow(10, LOG_BASE - i);\n rd = d[di] % k | 0;\n\n if (repeating == null) {\n if (i < 3) {\n if (i == 0) rd = rd / 100 | 0;else if (i == 1) rd = rd / 10 | 0;\n r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 50000 || rd == 0;\n } else {\n r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 || (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0;\n }\n } else {\n if (i < 4) {\n if (i == 0) rd = rd / 1000 | 0;else if (i == 1) rd = rd / 100 | 0;else if (i == 2) rd = rd / 10 | 0;\n r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999;\n } else {\n r = ((repeating || rm < 4) && rd + 1 == k || !repeating && rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 1000 | 0) == mathpow(10, i - 3) - 1;\n }\n }\n\n return r;\n } // Convert string of `baseIn` to an array of numbers of `baseOut`.\n // Eg. convertBase('255', 10, 16) returns [15, 15].\n // Eg. convertBase('ff', 16, 10) returns [2, 5, 5].\n\n\n function convertBase(str, baseIn, baseOut) {\n var j,\n arr = [0],\n arrL,\n i = 0,\n strL = str.length;\n\n for (; i < strL;) {\n for (arrL = arr.length; arrL--;) {\n arr[arrL] *= baseIn;\n }\n\n arr[0] += NUMERALS.indexOf(str.charAt(i++));\n\n for (j = 0; j < arr.length; j++) {\n if (arr[j] > baseOut - 1) {\n if (arr[j + 1] === void 0) arr[j + 1] = 0;\n arr[j + 1] += arr[j] / baseOut | 0;\n arr[j] %= baseOut;\n }\n }\n }\n\n return arr.reverse();\n }\n /*\r\n * cos(x) = 1 - x^2/2! + x^4/4! - ...\r\n * |x| < pi/2\r\n *\r\n */\n\n\n function cosine(Ctor, x) {\n var k,\n y,\n len = x.d.length; // Argument reduction: cos(4x) = 8*(cos^4(x) - cos^2(x)) + 1\n // i.e. cos(x) = 8*(cos^4(x/4) - cos^2(x/4)) + 1\n // Estimate the optimum number of times to use the argument reduction.\n\n if (len < 32) {\n k = Math.ceil(len / 3);\n y = (1 / tinyPow(4, k)).toString();\n } else {\n k = 16;\n y = '2.3283064365386962890625e-10';\n }\n\n Ctor.precision += k;\n x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1)); // Reverse argument reduction\n\n for (var i = k; i--;) {\n var cos2x = x.times(x);\n x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1);\n }\n\n Ctor.precision -= k;\n return x;\n }\n /*\r\n * Perform division in the specified base.\r\n */\n\n\n var divide = function () {\n // Assumes non-zero x and k, and hence non-zero result.\n function multiplyInteger(x, k, base) {\n var temp,\n carry = 0,\n i = x.length;\n\n for (x = x.slice(); i--;) {\n temp = x[i] * k + carry;\n x[i] = temp % base | 0;\n carry = temp / base | 0;\n }\n\n if (carry) x.unshift(carry);\n return x;\n }\n\n function compare(a, b, aL, bL) {\n var i, r;\n\n if (aL != bL) {\n r = aL > bL ? 1 : -1;\n } else {\n for (i = r = 0; i < aL; i++) {\n if (a[i] != b[i]) {\n r = a[i] > b[i] ? 1 : -1;\n break;\n }\n }\n }\n\n return r;\n }\n\n function subtract(a, b, aL, base) {\n var i = 0; // Subtract b from a.\n\n for (; aL--;) {\n a[aL] -= i;\n i = a[aL] < b[aL] ? 1 : 0;\n a[aL] = i * base + a[aL] - b[aL];\n } // Remove leading zeros.\n\n\n for (; !a[0] && a.length > 1;) {\n a.shift();\n }\n }\n\n return function (x, y, pr, rm, dp, base) {\n var cmp,\n e,\n i,\n k,\n logBase,\n more,\n prod,\n prodL,\n q,\n qd,\n rem,\n remL,\n rem0,\n sd,\n t,\n xi,\n xL,\n yd0,\n yL,\n yz,\n Ctor = x.constructor,\n sign = x.s == y.s ? 1 : -1,\n xd = x.d,\n yd = y.d; // Either NaN, Infinity or 0?\n\n if (!xd || !xd[0] || !yd || !yd[0]) {\n return new Ctor( // Return NaN if either NaN, or both Infinity or 0.\n !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN : // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.\n xd && xd[0] == 0 || !yd ? sign * 0 : sign / 0);\n }\n\n if (base) {\n logBase = 1;\n e = x.e - y.e;\n } else {\n base = BASE;\n logBase = LOG_BASE;\n e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase);\n }\n\n yL = yd.length;\n xL = xd.length;\n q = new Ctor(sign);\n qd = q.d = []; // Result exponent may be one less than e.\n // The digit array of a Decimal from toStringBinary may have trailing zeros.\n\n for (i = 0; yd[i] == (xd[i] || 0); i++) {\n ;\n }\n\n if (yd[i] > (xd[i] || 0)) e--;\n\n if (pr == null) {\n sd = pr = Ctor.precision;\n rm = Ctor.rounding;\n } else if (dp) {\n sd = pr + (x.e - y.e) + 1;\n } else {\n sd = pr;\n }\n\n if (sd < 0) {\n qd.push(1);\n more = true;\n } else {\n // Convert precision in number of base 10 digits to base 1e7 digits.\n sd = sd / logBase + 2 | 0;\n i = 0; // divisor < 1e7\n\n if (yL == 1) {\n k = 0;\n yd = yd[0];\n sd++; // k is the carry.\n\n for (; (i < xL || k) && sd--; i++) {\n t = k * base + (xd[i] || 0);\n qd[i] = t / yd | 0;\n k = t % yd | 0;\n }\n\n more = k || i < xL; // divisor >= 1e7\n } else {\n // Normalise xd and yd so highest order digit of yd is >= base/2\n k = base / (yd[0] + 1) | 0;\n\n if (k > 1) {\n yd = multiplyInteger(yd, k, base);\n xd = multiplyInteger(xd, k, base);\n yL = yd.length;\n xL = xd.length;\n }\n\n xi = yL;\n rem = xd.slice(0, yL);\n remL = rem.length; // Add zeros to make remainder as long as divisor.\n\n for (; remL < yL;) {\n rem[remL++] = 0;\n }\n\n yz = yd.slice();\n yz.unshift(0);\n yd0 = yd[0];\n if (yd[1] >= base / 2) ++yd0;\n\n do {\n k = 0; // Compare divisor and remainder.\n\n cmp = compare(yd, rem, yL, remL); // If divisor < remainder.\n\n if (cmp < 0) {\n // Calculate trial digit, k.\n rem0 = rem[0];\n if (yL != remL) rem0 = rem0 * base + (rem[1] || 0); // k will be how many times the divisor goes into the current remainder.\n\n k = rem0 / yd0 | 0; // Algorithm:\n // 1. product = divisor * trial digit (k)\n // 2. if product > remainder: product -= divisor, k--\n // 3. remainder -= product\n // 4. if product was < remainder at 2:\n // 5. compare new remainder and divisor\n // 6. If remainder > divisor: remainder -= divisor, k++\n\n if (k > 1) {\n if (k >= base) k = base - 1; // product = divisor * trial digit.\n\n prod = multiplyInteger(yd, k, base);\n prodL = prod.length;\n remL = rem.length; // Compare product and remainder.\n\n cmp = compare(prod, rem, prodL, remL); // product > remainder.\n\n if (cmp == 1) {\n k--; // Subtract divisor from product.\n\n subtract(prod, yL < prodL ? yz : yd, prodL, base);\n }\n } else {\n // cmp is -1.\n // If k is 0, there is no need to compare yd and rem again below, so change cmp to 1\n // to avoid it. If k is 1 there is a need to compare yd and rem again below.\n if (k == 0) cmp = k = 1;\n prod = yd.slice();\n }\n\n prodL = prod.length;\n if (prodL < remL) prod.unshift(0); // Subtract product from remainder.\n\n subtract(rem, prod, remL, base); // If product was < previous remainder.\n\n if (cmp == -1) {\n remL = rem.length; // Compare divisor and new remainder.\n\n cmp = compare(yd, rem, yL, remL); // If divisor < new remainder, subtract divisor from remainder.\n\n if (cmp < 1) {\n k++; // Subtract divisor from remainder.\n\n subtract(rem, yL < remL ? yz : yd, remL, base);\n }\n }\n\n remL = rem.length;\n } else if (cmp === 0) {\n k++;\n rem = [0];\n } // if cmp === 1, k will be 0\n // Add the next digit, k, to the result array.\n\n\n qd[i++] = k; // Update the remainder.\n\n if (cmp && rem[0]) {\n rem[remL++] = xd[xi] || 0;\n } else {\n rem = [xd[xi]];\n remL = 1;\n }\n } while ((xi++ < xL || rem[0] !== void 0) && sd--);\n\n more = rem[0] !== void 0;\n } // Leading zero?\n\n\n if (!qd[0]) qd.shift();\n } // logBase is 1 when divide is being used for base conversion.\n\n\n if (logBase == 1) {\n q.e = e;\n inexact = more;\n } else {\n // To calculate q.e, first get the number of digits of qd[0].\n for (i = 1, k = qd[0]; k >= 10; k /= 10) {\n i++;\n }\n\n q.e = i + e * logBase - 1;\n finalise(q, dp ? pr + q.e + 1 : pr, rm, more);\n }\n\n return q;\n };\n }();\n /*\r\n * Round `x` to `sd` significant digits using rounding mode `rm`.\r\n * Check for over/under-flow.\r\n */\n\n\n function finalise(x, sd, rm, isTruncated) {\n var digits,\n i,\n j,\n k,\n rd,\n roundUp,\n w,\n xd,\n xdi,\n Ctor = x.constructor; // Don't round if sd is null or undefined.\n\n out: if (sd != null) {\n xd = x.d; // Infinity/NaN.\n\n if (!xd) return x; // rd: the rounding digit, i.e. the digit after the digit that may be rounded up.\n // w: the word of xd containing rd, a base 1e7 number.\n // xdi: the index of w within xd.\n // digits: the number of digits of w.\n // i: what would be the index of rd within w if all the numbers were 7 digits long (i.e. if\n // they had leading zeros)\n // j: if > 0, the actual index of rd within w (if < 0, rd is a leading zero).\n // Get the length of the first word of the digits array xd.\n\n for (digits = 1, k = xd[0]; k >= 10; k /= 10) {\n digits++;\n }\n\n i = sd - digits; // Is the rounding digit in the first word of xd?\n\n if (i < 0) {\n i += LOG_BASE;\n j = sd;\n w = xd[xdi = 0]; // Get the rounding digit at index j of w.\n\n rd = w / mathpow(10, digits - j - 1) % 10 | 0;\n } else {\n xdi = Math.ceil((i + 1) / LOG_BASE);\n k = xd.length;\n\n if (xdi >= k) {\n if (isTruncated) {\n // Needed by `naturalExponential`, `naturalLogarithm` and `squareRoot`.\n for (; k++ <= xdi;) {\n xd.push(0);\n }\n\n w = rd = 0;\n digits = 1;\n i %= LOG_BASE;\n j = i - LOG_BASE + 1;\n } else {\n break out;\n }\n } else {\n w = k = xd[xdi]; // Get the number of digits of w.\n\n for (digits = 1; k >= 10; k /= 10) {\n digits++;\n } // Get the index of rd within w.\n\n\n i %= LOG_BASE; // Get the index of rd within w, adjusted for leading zeros.\n // The number of leading zeros of w is given by LOG_BASE - digits.\n\n j = i - LOG_BASE + digits; // Get the rounding digit at index j of w.\n\n rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0;\n }\n } // Are there any non-zero digits after the rounding digit?\n\n\n isTruncated = isTruncated || sd < 0 || xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1)); // The expression `w % mathpow(10, digits - j - 1)` returns all the digits of w to the right\n // of the digit at (left-to-right) index j, e.g. if w is 908714 and j is 2, the expression\n // will give 714.\n\n roundUp = rm < 4 ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2)) : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 && // Check whether the digit to the left of the rounding digit is odd.\n (i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10 & 1 || rm == (x.s < 0 ? 8 : 7));\n\n if (sd < 1 || !xd[0]) {\n xd.length = 0;\n\n if (roundUp) {\n // Convert sd to decimal places.\n sd -= x.e + 1; // 1, 0.1, 0.01, 0.001, 0.0001 etc.\n\n xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE);\n x.e = -sd || 0;\n } else {\n // Zero.\n xd[0] = x.e = 0;\n }\n\n return x;\n } // Remove excess digits.\n\n\n if (i == 0) {\n xd.length = xdi;\n k = 1;\n xdi--;\n } else {\n xd.length = xdi + 1;\n k = mathpow(10, LOG_BASE - i); // E.g. 56700 becomes 56000 if 7 is the rounding digit.\n // j > 0 means i > number of leading zeros of w.\n\n xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0;\n }\n\n if (roundUp) {\n for (;;) {\n // Is the digit to be rounded up in the first word of xd?\n if (xdi == 0) {\n // i will be the length of xd[0] before k is added.\n for (i = 1, j = xd[0]; j >= 10; j /= 10) {\n i++;\n }\n\n j = xd[0] += k;\n\n for (k = 1; j >= 10; j /= 10) {\n k++;\n } // if i != k the length has increased.\n\n\n if (i != k) {\n x.e++;\n if (xd[0] == BASE) xd[0] = 1;\n }\n\n break;\n } else {\n xd[xdi] += k;\n if (xd[xdi] != BASE) break;\n xd[xdi--] = 0;\n k = 1;\n }\n }\n } // Remove trailing zeros.\n\n\n for (i = xd.length; xd[--i] === 0;) {\n xd.pop();\n }\n }\n\n if (external) {\n // Overflow?\n if (x.e > Ctor.maxE) {\n // Infinity.\n x.d = null;\n x.e = NaN; // Underflow?\n } else if (x.e < Ctor.minE) {\n // Zero.\n x.e = 0;\n x.d = [0]; // Ctor.underflow = true;\n } // else Ctor.underflow = false;\n\n }\n\n return x;\n }\n\n function finiteToString(x, isExp, sd) {\n if (!x.isFinite()) return nonFiniteToString(x);\n var k,\n e = x.e,\n str = digitsToString(x.d),\n len = str.length;\n\n if (isExp) {\n if (sd && (k = sd - len) > 0) {\n str = str.charAt(0) + '.' + str.slice(1) + getZeroString(k);\n } else if (len > 1) {\n str = str.charAt(0) + '.' + str.slice(1);\n }\n\n str = str + (x.e < 0 ? 'e' : 'e+') + x.e;\n } else if (e < 0) {\n str = '0.' + getZeroString(-e - 1) + str;\n if (sd && (k = sd - len) > 0) str += getZeroString(k);\n } else if (e >= len) {\n str += getZeroString(e + 1 - len);\n if (sd && (k = sd - e - 1) > 0) str = str + '.' + getZeroString(k);\n } else {\n if ((k = e + 1) < len) str = str.slice(0, k) + '.' + str.slice(k);\n\n if (sd && (k = sd - len) > 0) {\n if (e + 1 === len) str += '.';\n str += getZeroString(k);\n }\n }\n\n return str;\n } // Calculate the base 10 exponent from the base 1e7 exponent.\n\n\n function getBase10Exponent(digits, e) {\n var w = digits[0]; // Add the number of digits of the first word of the digits array.\n\n for (e *= LOG_BASE; w >= 10; w /= 10) {\n e++;\n }\n\n return e;\n }\n\n function getLn10(Ctor, sd, pr) {\n if (sd > LN10_PRECISION) {\n // Reset global state in case the exception is caught.\n external = true;\n if (pr) Ctor.precision = pr;\n throw Error(precisionLimitExceeded);\n }\n\n return finalise(new Ctor(LN10), sd, 1, true);\n }\n\n function getPi(Ctor, sd, rm) {\n if (sd > PI_PRECISION) throw Error(precisionLimitExceeded);\n return finalise(new Ctor(PI), sd, rm, true);\n }\n\n function getPrecision(digits) {\n var w = digits.length - 1,\n len = w * LOG_BASE + 1;\n w = digits[w]; // If non-zero...\n\n if (w) {\n // Subtract the number of trailing zeros of the last word.\n for (; w % 10 == 0; w /= 10) {\n len--;\n } // Add the number of digits of the first word.\n\n\n for (w = digits[0]; w >= 10; w /= 10) {\n len++;\n }\n }\n\n return len;\n }\n\n function getZeroString(k) {\n var zs = '';\n\n for (; k--;) {\n zs += '0';\n }\n\n return zs;\n }\n /*\r\n * Return a new Decimal whose value is the value of Decimal `x` to the power `n`, where `n` is an\r\n * integer of type number.\r\n *\r\n * Implements 'exponentiation by squaring'. Called by `pow` and `parseOther`.\r\n *\r\n */\n\n\n function intPow(Ctor, x, n, pr) {\n var isTruncated,\n r = new Ctor(1),\n // Max n of 9007199254740991 takes 53 loop iterations.\n // Maximum digits array length; leaves [28, 34] guard digits.\n k = Math.ceil(pr / LOG_BASE + 4);\n external = false;\n\n for (;;) {\n if (n % 2) {\n r = r.times(x);\n if (truncate(r.d, k)) isTruncated = true;\n }\n\n n = mathfloor(n / 2);\n\n if (n === 0) {\n // To ensure correct rounding when r.d is truncated, increment the last word if it is zero.\n n = r.d.length - 1;\n if (isTruncated && r.d[n] === 0) ++r.d[n];\n break;\n }\n\n x = x.times(x);\n truncate(x.d, k);\n }\n\n external = true;\n return r;\n }\n\n function isOdd(n) {\n return n.d[n.d.length - 1] & 1;\n }\n /*\r\n * Handle `max` and `min`. `ltgt` is 'lt' or 'gt'.\r\n */\n\n\n function maxOrMin(Ctor, args, ltgt) {\n var y,\n x = new Ctor(args[0]),\n i = 0;\n\n for (; ++i < args.length;) {\n y = new Ctor(args[i]);\n\n if (!y.s) {\n x = y;\n break;\n } else if (x[ltgt](y)) {\n x = y;\n }\n }\n\n return x;\n }\n /*\r\n * Return a new Decimal whose value is the natural exponential of `x` rounded to `sd` significant\r\n * digits.\r\n *\r\n * Taylor/Maclaurin series.\r\n *\r\n * exp(x) = x^0/0! + x^1/1! + x^2/2! + x^3/3! + ...\r\n *\r\n * Argument reduction:\r\n * Repeat x = x / 32, k += 5, until |x| < 0.1\r\n * exp(x) = exp(x / 2^k)^(2^k)\r\n *\r\n * Previously, the argument was initially reduced by\r\n * exp(x) = exp(r) * 10^k where r = x - k * ln10, k = floor(x / ln10)\r\n * to first put r in the range [0, ln10], before dividing by 32 until |x| < 0.1, but this was\r\n * found to be slower than just dividing repeatedly by 32 as above.\r\n *\r\n * Max integer argument: exp('20723265836946413') = 6.3e+9000000000000000\r\n * Min integer argument: exp('-20723265836946411') = 1.2e-9000000000000000\r\n * (Math object integer min/max: Math.exp(709) = 8.2e+307, Math.exp(-745) = 5e-324)\r\n *\r\n * exp(Infinity) = Infinity\r\n * exp(-Infinity) = 0\r\n * exp(NaN) = NaN\r\n * exp(±0) = 1\r\n *\r\n * exp(x) is non-terminating for any finite, non-zero x.\r\n *\r\n * The result will always be correctly rounded.\r\n *\r\n */\n\n\n function naturalExponential(x, sd) {\n var denominator,\n guard,\n j,\n pow,\n sum,\n t,\n wpr,\n rep = 0,\n i = 0,\n k = 0,\n Ctor = x.constructor,\n rm = Ctor.rounding,\n pr = Ctor.precision; // 0/NaN/Infinity?\n\n if (!x.d || !x.d[0] || x.e > 17) {\n return new Ctor(x.d ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0 : x.s ? x.s < 0 ? 0 : x : 0 / 0);\n }\n\n if (sd == null) {\n external = false;\n wpr = pr;\n } else {\n wpr = sd;\n }\n\n t = new Ctor(0.03125); // while abs(x) >= 0.1\n\n while (x.e > -2) {\n // x = x / 2^5\n x = x.times(t);\n k += 5;\n } // Use 2 * log10(2^k) + 5 (empirically derived) to estimate the increase in precision\n // necessary to ensure the first 4 rounding digits are correct.\n\n\n guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0;\n wpr += guard;\n denominator = pow = sum = new Ctor(1);\n Ctor.precision = wpr;\n\n for (;;) {\n pow = finalise(pow.times(x), wpr, 1);\n denominator = denominator.times(++i);\n t = sum.plus(divide(pow, denominator, wpr, 1));\n\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\n j = k;\n\n while (j--) {\n sum = finalise(sum.times(sum), wpr, 1);\n } // Check to see if the first 4 rounding digits are [49]999.\n // If so, repeat the summation with a higher precision, otherwise\n // e.g. with precision: 18, rounding: 1\n // exp(18.404272462595034083567793919843761) = 98372560.1229999999 (should be 98372560.123)\n // `wpr - guard` is the index of first rounding digit.\n\n\n if (sd == null) {\n if (rep < 3 && checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\n Ctor.precision = wpr += 10;\n denominator = pow = t = new Ctor(1);\n i = 0;\n rep++;\n } else {\n return finalise(sum, Ctor.precision = pr, rm, external = true);\n }\n } else {\n Ctor.precision = pr;\n return sum;\n }\n }\n\n sum = t;\n }\n }\n /*\r\n * Return a new Decimal whose value is the natural logarithm of `x` rounded to `sd` significant\r\n * digits.\r\n *\r\n * ln(-n) = NaN\r\n * ln(0) = -Infinity\r\n * ln(-0) = -Infinity\r\n * ln(1) = 0\r\n * ln(Infinity) = Infinity\r\n * ln(-Infinity) = NaN\r\n * ln(NaN) = NaN\r\n *\r\n * ln(n) (n != 1) is non-terminating.\r\n *\r\n */\n\n\n function naturalLogarithm(y, sd) {\n var c,\n c0,\n denominator,\n e,\n numerator,\n rep,\n sum,\n t,\n wpr,\n x1,\n x2,\n n = 1,\n guard = 10,\n x = y,\n xd = x.d,\n Ctor = x.constructor,\n rm = Ctor.rounding,\n pr = Ctor.precision; // Is x negative or Infinity, NaN, 0 or 1?\n\n if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) {\n return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x);\n }\n\n if (sd == null) {\n external = false;\n wpr = pr;\n } else {\n wpr = sd;\n }\n\n Ctor.precision = wpr += guard;\n c = digitsToString(xd);\n c0 = c.charAt(0);\n\n if (Math.abs(e = x.e) < 1.5e15) {\n // Argument reduction.\n // The series converges faster the closer the argument is to 1, so using\n // ln(a^b) = b * ln(a), ln(a) = ln(a^b) / b\n // multiply the argument by itself until the leading digits of the significand are 7, 8, 9,\n // 10, 11, 12 or 13, recording the number of multiplications so the sum of the series can\n // later be divided by this number, then separate out the power of 10 using\n // ln(a*10^b) = ln(a) + b*ln(10).\n // max n is 21 (gives 0.9, 1.0 or 1.1) (9e15 / 21 = 4.2e14).\n //while (c0 < 9 && c0 != 1 || c0 == 1 && c.charAt(1) > 1) {\n // max n is 6 (gives 0.7 - 1.3)\n while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) {\n x = x.times(y);\n c = digitsToString(x.d);\n c0 = c.charAt(0);\n n++;\n }\n\n e = x.e;\n\n if (c0 > 1) {\n x = new Ctor('0.' + c);\n e++;\n } else {\n x = new Ctor(c0 + '.' + c.slice(1));\n }\n } else {\n // The argument reduction method above may result in overflow if the argument y is a massive\n // number with exponent >= 1500000000000000 (9e15 / 6 = 1.5e15), so instead recall this\n // function using ln(x*10^e) = ln(x) + e*ln(10).\n t = getLn10(Ctor, wpr + 2, pr).times(e + '');\n x = naturalLogarithm(new Ctor(c0 + '.' + c.slice(1)), wpr - guard).plus(t);\n Ctor.precision = pr;\n return sd == null ? finalise(x, pr, rm, external = true) : x;\n } // x1 is x reduced to a value near 1.\n\n\n x1 = x; // Taylor series.\n // ln(y) = ln((1 + x)/(1 - x)) = 2(x + x^3/3 + x^5/5 + x^7/7 + ...)\n // where x = (y - 1)/(y + 1) (|x| < 1)\n\n sum = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1);\n x2 = finalise(x.times(x), wpr, 1);\n denominator = 3;\n\n for (;;) {\n numerator = finalise(numerator.times(x2), wpr, 1);\n t = sum.plus(divide(numerator, new Ctor(denominator), wpr, 1));\n\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\n sum = sum.times(2); // Reverse the argument reduction. Check that e is not 0 because, besides preventing an\n // unnecessary calculation, -0 + 0 = +0 and to ensure correct rounding -0 needs to stay -0.\n\n if (e !== 0) sum = sum.plus(getLn10(Ctor, wpr + 2, pr).times(e + ''));\n sum = divide(sum, new Ctor(n), wpr, 1); // Is rm > 3 and the first 4 rounding digits 4999, or rm < 4 (or the summation has\n // been repeated previously) and the first 4 rounding digits 9999?\n // If so, restart the summation with a higher precision, otherwise\n // e.g. with precision: 12, rounding: 1\n // ln(135520028.6126091714265381533) = 18.7246299999 when it should be 18.72463.\n // `wpr - guard` is the index of first rounding digit.\n\n if (sd == null) {\n if (checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\n Ctor.precision = wpr += guard;\n t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1);\n x2 = finalise(x.times(x), wpr, 1);\n denominator = rep = 1;\n } else {\n return finalise(sum, Ctor.precision = pr, rm, external = true);\n }\n } else {\n Ctor.precision = pr;\n return sum;\n }\n }\n\n sum = t;\n denominator += 2;\n }\n } // ±Infinity, NaN.\n\n\n function nonFiniteToString(x) {\n // Unsigned.\n return String(x.s * x.s / 0);\n }\n /*\r\n * Parse the value of a new Decimal `x` from string `str`.\r\n */\n\n\n function parseDecimal(x, str) {\n var e, i, len; // Decimal point?\n\n if ((e = str.indexOf('.')) > -1) str = str.replace('.', ''); // Exponential form?\n\n if ((i = str.search(/e/i)) > 0) {\n // Determine exponent.\n if (e < 0) e = i;\n e += +str.slice(i + 1);\n str = str.substring(0, i);\n } else if (e < 0) {\n // Integer.\n e = str.length;\n } // Determine leading zeros.\n\n\n for (i = 0; str.charCodeAt(i) === 48; i++) {\n ;\n } // Determine trailing zeros.\n\n\n for (len = str.length; str.charCodeAt(len - 1) === 48; --len) {\n ;\n }\n\n str = str.slice(i, len);\n\n if (str) {\n len -= i;\n x.e = e = e - i - 1;\n x.d = []; // Transform base\n // e is the base 10 exponent.\n // i is where to slice str to get the first word of the digits array.\n\n i = (e + 1) % LOG_BASE;\n if (e < 0) i += LOG_BASE;\n\n if (i < len) {\n if (i) x.d.push(+str.slice(0, i));\n\n for (len -= LOG_BASE; i < len;) {\n x.d.push(+str.slice(i, i += LOG_BASE));\n }\n\n str = str.slice(i);\n i = LOG_BASE - str.length;\n } else {\n i -= len;\n }\n\n for (; i--;) {\n str += '0';\n }\n\n x.d.push(+str);\n\n if (external) {\n // Overflow?\n if (x.e > x.constructor.maxE) {\n // Infinity.\n x.d = null;\n x.e = NaN; // Underflow?\n } else if (x.e < x.constructor.minE) {\n // Zero.\n x.e = 0;\n x.d = [0]; // x.constructor.underflow = true;\n } // else x.constructor.underflow = false;\n\n }\n } else {\n // Zero.\n x.e = 0;\n x.d = [0];\n }\n\n return x;\n }\n /*\r\n * Parse the value of a new Decimal `x` from a string `str`, which is not a decimal value.\r\n */\n\n\n function parseOther(x, str) {\n var base, Ctor, divisor, i, isFloat, len, p, xd, xe;\n\n if (str === 'Infinity' || str === 'NaN') {\n if (!+str) x.s = NaN;\n x.e = NaN;\n x.d = null;\n return x;\n }\n\n if (isHex.test(str)) {\n base = 16;\n str = str.toLowerCase();\n } else if (isBinary.test(str)) {\n base = 2;\n } else if (isOctal.test(str)) {\n base = 8;\n } else {\n throw Error(invalidArgument + str);\n } // Is there a binary exponent part?\n\n\n i = str.search(/p/i);\n\n if (i > 0) {\n p = +str.slice(i + 1);\n str = str.substring(2, i);\n } else {\n str = str.slice(2);\n } // Convert `str` as an integer then divide the result by `base` raised to a power such that the\n // fraction part will be restored.\n\n\n i = str.indexOf('.');\n isFloat = i >= 0;\n Ctor = x.constructor;\n\n if (isFloat) {\n str = str.replace('.', '');\n len = str.length;\n i = len - i; // log[10](16) = 1.2041... , log[10](88) = 1.9444....\n\n divisor = intPow(Ctor, new Ctor(base), i, i * 2);\n }\n\n xd = convertBase(str, base, BASE);\n xe = xd.length - 1; // Remove trailing zeros.\n\n for (i = xe; xd[i] === 0; --i) {\n xd.pop();\n }\n\n if (i < 0) return new Ctor(x.s * 0);\n x.e = getBase10Exponent(xd, xe);\n x.d = xd;\n external = false; // At what precision to perform the division to ensure exact conversion?\n // maxDecimalIntegerPartDigitCount = ceil(log[10](b) * otherBaseIntegerPartDigitCount)\n // log[10](2) = 0.30103, log[10](8) = 0.90309, log[10](16) = 1.20412\n // E.g. ceil(1.2 * 3) = 4, so up to 4 decimal digits are needed to represent 3 hex int digits.\n // maxDecimalFractionPartDigitCount = {Hex:4|Oct:3|Bin:1} * otherBaseFractionPartDigitCount\n // Therefore using 4 * the number of digits of str will always be enough.\n\n if (isFloat) x = divide(x, divisor, len * 4); // Multiply by the binary exponent part if present.\n\n if (p) x = x.times(Math.abs(p) < 54 ? mathpow(2, p) : Decimal.pow(2, p));\n external = true;\n return x;\n }\n /*\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n * |x| < pi/2\r\n *\r\n */\n\n\n function sine(Ctor, x) {\n var k,\n len = x.d.length;\n if (len < 3) return taylorSeries(Ctor, 2, x, x); // Argument reduction: sin(5x) = 16*sin^5(x) - 20*sin^3(x) + 5*sin(x)\n // i.e. sin(x) = 16*sin^5(x/5) - 20*sin^3(x/5) + 5*sin(x/5)\n // and sin(x) = sin(x/5)(5 + sin^2(x/5)(16sin^2(x/5) - 20))\n // Estimate the optimum number of times to use the argument reduction.\n\n k = 1.4 * Math.sqrt(len);\n k = k > 16 ? 16 : k | 0;\n x = x.times(1 / tinyPow(5, k));\n x = taylorSeries(Ctor, 2, x, x); // Reverse argument reduction\n\n var sin2_x,\n d5 = new Ctor(5),\n d16 = new Ctor(16),\n d20 = new Ctor(20);\n\n for (; k--;) {\n sin2_x = x.times(x);\n x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20))));\n }\n\n return x;\n } // Calculate Taylor series for `cos`, `cosh`, `sin` and `sinh`.\n\n\n function taylorSeries(Ctor, n, x, y, isHyperbolic) {\n var j,\n t,\n u,\n x2,\n i = 1,\n pr = Ctor.precision,\n k = Math.ceil(pr / LOG_BASE);\n external = false;\n x2 = x.times(x);\n u = new Ctor(y);\n\n for (;;) {\n t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1);\n u = isHyperbolic ? y.plus(t) : y.minus(t);\n y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1);\n t = u.plus(y);\n\n if (t.d[k] !== void 0) {\n for (j = k; t.d[j] === u.d[j] && j--;) {\n ;\n }\n\n if (j == -1) break;\n }\n\n j = u;\n u = y;\n y = t;\n t = j;\n i++;\n }\n\n external = true;\n t.d.length = k + 1;\n return t;\n } // Exponent e must be positive and non-zero.\n\n\n function tinyPow(b, e) {\n var n = b;\n\n while (--e) {\n n *= b;\n }\n\n return n;\n } // Return the absolute value of `x` reduced to less than or equal to half pi.\n\n\n function toLessThanHalfPi(Ctor, x) {\n var t,\n isNeg = x.s < 0,\n pi = getPi(Ctor, Ctor.precision, 1),\n halfPi = pi.times(0.5);\n x = x.abs();\n\n if (x.lte(halfPi)) {\n quadrant = isNeg ? 4 : 1;\n return x;\n }\n\n t = x.divToInt(pi);\n\n if (t.isZero()) {\n quadrant = isNeg ? 3 : 2;\n } else {\n x = x.minus(t.times(pi)); // 0 <= x < pi\n\n if (x.lte(halfPi)) {\n quadrant = isOdd(t) ? isNeg ? 2 : 3 : isNeg ? 4 : 1;\n return x;\n }\n\n quadrant = isOdd(t) ? isNeg ? 1 : 4 : isNeg ? 3 : 2;\n }\n\n return x.minus(pi).abs();\n }\n /*\r\n * Return the value of Decimal `x` as a string in base `baseOut`.\r\n *\r\n * If the optional `sd` argument is present include a binary exponent suffix.\r\n */\n\n\n function toStringBinary(x, baseOut, sd, rm) {\n var base,\n e,\n i,\n k,\n len,\n roundUp,\n str,\n xd,\n y,\n Ctor = x.constructor,\n isExp = sd !== void 0;\n\n if (isExp) {\n checkInt32(sd, 1, MAX_DIGITS);\n if (rm === void 0) rm = Ctor.rounding;else checkInt32(rm, 0, 8);\n } else {\n sd = Ctor.precision;\n rm = Ctor.rounding;\n }\n\n if (!x.isFinite()) {\n str = nonFiniteToString(x);\n } else {\n str = finiteToString(x);\n i = str.indexOf('.'); // Use exponential notation according to `toExpPos` and `toExpNeg`? No, but if required:\n // maxBinaryExponent = floor((decimalExponent + 1) * log[2](10))\n // minBinaryExponent = floor(decimalExponent * log[2](10))\n // log[2](10) = 3.321928094887362347870319429489390175864\n\n if (isExp) {\n base = 2;\n\n if (baseOut == 16) {\n sd = sd * 4 - 3;\n } else if (baseOut == 8) {\n sd = sd * 3 - 2;\n }\n } else {\n base = baseOut;\n } // Convert the number as an integer then divide the result by its base raised to a power such\n // that the fraction part will be restored.\n // Non-integer.\n\n\n if (i >= 0) {\n str = str.replace('.', '');\n y = new Ctor(1);\n y.e = str.length - i;\n y.d = convertBase(finiteToString(y), 10, base);\n y.e = y.d.length;\n }\n\n xd = convertBase(str, 10, base);\n e = len = xd.length; // Remove trailing zeros.\n\n for (; xd[--len] == 0;) {\n xd.pop();\n }\n\n if (!xd[0]) {\n str = isExp ? '0p+0' : '0';\n } else {\n if (i < 0) {\n e--;\n } else {\n x = new Ctor(x);\n x.d = xd;\n x.e = e;\n x = divide(x, y, sd, rm, 0, base);\n xd = x.d;\n e = x.e;\n roundUp = inexact;\n } // The rounding digit, i.e. the digit after the digit that may be rounded up.\n\n\n i = xd[sd];\n k = base / 2;\n roundUp = roundUp || xd[sd + 1] !== void 0;\n roundUp = rm < 4 ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2)) : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 || rm === (x.s < 0 ? 8 : 7));\n xd.length = sd;\n\n if (roundUp) {\n // Rounding up may mean the previous digit has to be rounded up and so on.\n for (; ++xd[--sd] > base - 1;) {\n xd[sd] = 0;\n\n if (!sd) {\n ++e;\n xd.unshift(1);\n }\n }\n } // Determine trailing zeros.\n\n\n for (len = xd.length; !xd[len - 1]; --len) {\n ;\n } // E.g. [4, 11, 15] becomes 4bf.\n\n\n for (i = 0, str = ''; i < len; i++) {\n str += NUMERALS.charAt(xd[i]);\n } // Add binary exponent suffix?\n\n\n if (isExp) {\n if (len > 1) {\n if (baseOut == 16 || baseOut == 8) {\n i = baseOut == 16 ? 4 : 3;\n\n for (--len; len % i; len++) {\n str += '0';\n }\n\n xd = convertBase(str, base, baseOut);\n\n for (len = xd.length; !xd[len - 1]; --len) {\n ;\n } // xd[0] will always be be 1\n\n\n for (i = 1, str = '1.'; i < len; i++) {\n str += NUMERALS.charAt(xd[i]);\n }\n } else {\n str = str.charAt(0) + '.' + str.slice(1);\n }\n }\n\n str = str + (e < 0 ? 'p' : 'p+') + e;\n } else if (e < 0) {\n for (; ++e;) {\n str = '0' + str;\n }\n\n str = '0.' + str;\n } else {\n if (++e > len) for (e -= len; e--;) {\n str += '0';\n } else if (e < len) str = str.slice(0, e) + '.' + str.slice(e);\n }\n }\n\n str = (baseOut == 16 ? '0x' : baseOut == 2 ? '0b' : baseOut == 8 ? '0o' : '') + str;\n }\n\n return x.s < 0 ? '-' + str : str;\n } // Does not strip trailing zeros.\n\n\n function truncate(arr, len) {\n if (arr.length > len) {\n arr.length = len;\n return true;\n }\n } // Decimal methods\n\n /*\r\n * abs\r\n * acos\r\n * acosh\r\n * add\r\n * asin\r\n * asinh\r\n * atan\r\n * atanh\r\n * atan2\r\n * cbrt\r\n * ceil\r\n * clone\r\n * config\r\n * cos\r\n * cosh\r\n * div\r\n * exp\r\n * floor\r\n * hypot\r\n * ln\r\n * log\r\n * log2\r\n * log10\r\n * max\r\n * min\r\n * mod\r\n * mul\r\n * pow\r\n * random\r\n * round\r\n * set\r\n * sign\r\n * sin\r\n * sinh\r\n * sqrt\r\n * sub\r\n * tan\r\n * tanh\r\n * trunc\r\n */\n\n /*\r\n * Return a new Decimal whose value is the absolute value of `x`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function abs(x) {\n return new this(x).abs();\n }\n /*\r\n * Return a new Decimal whose value is the arccosine in radians of `x`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function acos(x) {\n return new this(x).acos();\n }\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic cosine of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function acosh(x) {\n return new this(x).acosh();\n }\n /*\r\n * Return a new Decimal whose value is the sum of `x` and `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\n\n\n function add(x, y) {\n return new this(x).plus(y);\n }\n /*\r\n * Return a new Decimal whose value is the arcsine in radians of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function asin(x) {\n return new this(x).asin();\n }\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic sine of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function asinh(x) {\n return new this(x).asinh();\n }\n /*\r\n * Return a new Decimal whose value is the arctangent in radians of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function atan(x) {\n return new this(x).atan();\n }\n /*\r\n * Return a new Decimal whose value is the inverse of the hyperbolic tangent of `x`, rounded to\r\n * `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function atanh(x) {\n return new this(x).atanh();\n }\n /*\r\n * Return a new Decimal whose value is the arctangent in radians of `y/x` in the range -pi to pi\r\n * (inclusive), rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * Domain: [-Infinity, Infinity]\r\n * Range: [-pi, pi]\r\n *\r\n * y {number|string|Decimal} The y-coordinate.\r\n * x {number|string|Decimal} The x-coordinate.\r\n *\r\n * atan2(±0, -0) = ±pi\r\n * atan2(±0, +0) = ±0\r\n * atan2(±0, -x) = ±pi for x > 0\r\n * atan2(±0, x) = ±0 for x > 0\r\n * atan2(-y, ±0) = -pi/2 for y > 0\r\n * atan2(y, ±0) = pi/2 for y > 0\r\n * atan2(±y, -Infinity) = ±pi for finite y > 0\r\n * atan2(±y, +Infinity) = ±0 for finite y > 0\r\n * atan2(±Infinity, x) = ±pi/2 for finite x\r\n * atan2(±Infinity, -Infinity) = ±3*pi/4\r\n * atan2(±Infinity, +Infinity) = ±pi/4\r\n * atan2(NaN, x) = NaN\r\n * atan2(y, NaN) = NaN\r\n *\r\n */\n\n\n function atan2(y, x) {\n y = new this(y);\n x = new this(x);\n var r,\n pr = this.precision,\n rm = this.rounding,\n wpr = pr + 4; // Either NaN\n\n if (!y.s || !x.s) {\n r = new this(NaN); // Both ±Infinity\n } else if (!y.d && !x.d) {\n r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75);\n r.s = y.s; // x is ±Infinity or y is ±0\n } else if (!x.d || y.isZero()) {\n r = x.s < 0 ? getPi(this, pr, rm) : new this(0);\n r.s = y.s; // y is ±Infinity or x is ±0\n } else if (!y.d || x.isZero()) {\n r = getPi(this, wpr, 1).times(0.5);\n r.s = y.s; // Both non-zero and finite\n } else if (x.s < 0) {\n this.precision = wpr;\n this.rounding = 1;\n r = this.atan(divide(y, x, wpr, 1));\n x = getPi(this, wpr, 1);\n this.precision = pr;\n this.rounding = rm;\n r = y.s < 0 ? r.minus(x) : r.plus(x);\n } else {\n r = this.atan(divide(y, x, wpr, 1));\n }\n\n return r;\n }\n /*\r\n * Return a new Decimal whose value is the cube root of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function cbrt(x) {\n return new this(x).cbrt();\n }\n /*\r\n * Return a new Decimal whose value is `x` rounded to an integer using `ROUND_CEIL`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function ceil(x) {\n return finalise(x = new this(x), x.e + 1, 2);\n }\n /*\r\n * Configure global settings for a Decimal constructor.\r\n *\r\n * `obj` is an object with one or more of the following properties,\r\n *\r\n * precision {number}\r\n * rounding {number}\r\n * toExpNeg {number}\r\n * toExpPos {number}\r\n * maxE {number}\r\n * minE {number}\r\n * modulo {number}\r\n * crypto {boolean|number}\r\n * defaults {true}\r\n *\r\n * E.g. Decimal.config({ precision: 20, rounding: 4 })\r\n *\r\n */\n\n\n function config(obj) {\n if (!obj || typeof obj !== 'object') throw Error(decimalError + 'Object expected');\n var i,\n p,\n v,\n useDefaults = obj.defaults === true,\n ps = ['precision', 1, MAX_DIGITS, 'rounding', 0, 8, 'toExpNeg', -EXP_LIMIT, 0, 'toExpPos', 0, EXP_LIMIT, 'maxE', 0, EXP_LIMIT, 'minE', -EXP_LIMIT, 0, 'modulo', 0, 9];\n\n for (i = 0; i < ps.length; i += 3) {\n if (p = ps[i], useDefaults) this[p] = DEFAULTS[p];\n\n if ((v = obj[p]) !== void 0) {\n if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v;else throw Error(invalidArgument + p + ': ' + v);\n }\n }\n\n if (p = 'crypto', useDefaults) this[p] = DEFAULTS[p];\n\n if ((v = obj[p]) !== void 0) {\n if (v === true || v === false || v === 0 || v === 1) {\n if (v) {\n if (typeof crypto != 'undefined' && crypto && (crypto.getRandomValues || crypto.randomBytes)) {\n this[p] = true;\n } else {\n throw Error(cryptoUnavailable);\n }\n } else {\n this[p] = false;\n }\n } else {\n throw Error(invalidArgument + p + ': ' + v);\n }\n }\n\n return this;\n }\n /*\r\n * Return a new Decimal whose value is the cosine of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function cos(x) {\n return new this(x).cos();\n }\n /*\r\n * Return a new Decimal whose value is the hyperbolic cosine of `x`, rounded to precision\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function cosh(x) {\n return new this(x).cosh();\n }\n /*\r\n * Create and return a Decimal constructor with the same configuration properties as this Decimal\r\n * constructor.\r\n *\r\n */\n\n\n function clone(obj) {\n var i, p, ps;\n /*\r\n * The Decimal constructor and exported function.\r\n * Return a new Decimal instance.\r\n *\r\n * v {number|string|Decimal} A numeric value.\r\n *\r\n */\n\n function Decimal(v) {\n var e,\n i,\n t,\n x = this; // Decimal called without new.\n\n if (!(x instanceof Decimal)) return new Decimal(v); // Retain a reference to this Decimal constructor, and shadow Decimal.prototype.constructor\n // which points to Object.\n\n x.constructor = Decimal; // Duplicate.\n\n if (v instanceof Decimal) {\n x.s = v.s;\n\n if (external) {\n if (!v.d || v.e > Decimal.maxE) {\n // Infinity.\n x.e = NaN;\n x.d = null;\n } else if (v.e < Decimal.minE) {\n // Zero.\n x.e = 0;\n x.d = [0];\n } else {\n x.e = v.e;\n x.d = v.d.slice();\n }\n } else {\n x.e = v.e;\n x.d = v.d ? v.d.slice() : v.d;\n }\n\n return;\n }\n\n t = typeof v;\n\n if (t === 'number') {\n if (v === 0) {\n x.s = 1 / v < 0 ? -1 : 1;\n x.e = 0;\n x.d = [0];\n return;\n }\n\n if (v < 0) {\n v = -v;\n x.s = -1;\n } else {\n x.s = 1;\n } // Fast path for small integers.\n\n\n if (v === ~~v && v < 1e7) {\n for (e = 0, i = v; i >= 10; i /= 10) {\n e++;\n }\n\n if (external) {\n if (e > Decimal.maxE) {\n x.e = NaN;\n x.d = null;\n } else if (e < Decimal.minE) {\n x.e = 0;\n x.d = [0];\n } else {\n x.e = e;\n x.d = [v];\n }\n } else {\n x.e = e;\n x.d = [v];\n }\n\n return; // Infinity, NaN.\n } else if (v * 0 !== 0) {\n if (!v) x.s = NaN;\n x.e = NaN;\n x.d = null;\n return;\n }\n\n return parseDecimal(x, v.toString());\n } else if (t !== 'string') {\n throw Error(invalidArgument + v);\n } // Minus sign?\n\n\n if ((i = v.charCodeAt(0)) === 45) {\n v = v.slice(1);\n x.s = -1;\n } else {\n // Plus sign?\n if (i === 43) v = v.slice(1);\n x.s = 1;\n }\n\n return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v);\n }\n\n Decimal.prototype = P;\n Decimal.ROUND_UP = 0;\n Decimal.ROUND_DOWN = 1;\n Decimal.ROUND_CEIL = 2;\n Decimal.ROUND_FLOOR = 3;\n Decimal.ROUND_HALF_UP = 4;\n Decimal.ROUND_HALF_DOWN = 5;\n Decimal.ROUND_HALF_EVEN = 6;\n Decimal.ROUND_HALF_CEIL = 7;\n Decimal.ROUND_HALF_FLOOR = 8;\n Decimal.EUCLID = 9;\n Decimal.config = Decimal.set = config;\n Decimal.clone = clone;\n Decimal.isDecimal = isDecimalInstance;\n Decimal.abs = abs;\n Decimal.acos = acos;\n Decimal.acosh = acosh; // ES6\n\n Decimal.add = add;\n Decimal.asin = asin;\n Decimal.asinh = asinh; // ES6\n\n Decimal.atan = atan;\n Decimal.atanh = atanh; // ES6\n\n Decimal.atan2 = atan2;\n Decimal.cbrt = cbrt; // ES6\n\n Decimal.ceil = ceil;\n Decimal.cos = cos;\n Decimal.cosh = cosh; // ES6\n\n Decimal.div = div;\n Decimal.exp = exp;\n Decimal.floor = floor;\n Decimal.hypot = hypot; // ES6\n\n Decimal.ln = ln;\n Decimal.log = log;\n Decimal.log10 = log10; // ES6\n\n Decimal.log2 = log2; // ES6\n\n Decimal.max = max;\n Decimal.min = min;\n Decimal.mod = mod;\n Decimal.mul = mul;\n Decimal.pow = pow;\n Decimal.random = random;\n Decimal.round = round;\n Decimal.sign = sign; // ES6\n\n Decimal.sin = sin;\n Decimal.sinh = sinh; // ES6\n\n Decimal.sqrt = sqrt;\n Decimal.sub = sub;\n Decimal.tan = tan;\n Decimal.tanh = tanh; // ES6\n\n Decimal.trunc = trunc; // ES6\n\n if (obj === void 0) obj = {};\n\n if (obj) {\n if (obj.defaults !== true) {\n ps = ['precision', 'rounding', 'toExpNeg', 'toExpPos', 'maxE', 'minE', 'modulo', 'crypto'];\n\n for (i = 0; i < ps.length;) {\n if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p];\n }\n }\n }\n\n Decimal.config(obj);\n return Decimal;\n }\n /*\r\n * Return a new Decimal whose value is `x` divided by `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\n\n\n function div(x, y) {\n return new this(x).div(y);\n }\n /*\r\n * Return a new Decimal whose value is the natural exponential of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} The power to which to raise the base of the natural log.\r\n *\r\n */\n\n\n function exp(x) {\n return new this(x).exp();\n }\n /*\r\n * Return a new Decimal whose value is `x` round to an integer using `ROUND_FLOOR`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function floor(x) {\n return finalise(x = new this(x), x.e + 1, 3);\n }\n /*\r\n * Return a new Decimal whose value is the square root of the sum of the squares of the arguments,\r\n * rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * hypot(a, b, ...) = sqrt(a^2 + b^2 + ...)\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\n\n\n function hypot() {\n var i,\n n,\n t = new this(0);\n external = false;\n\n for (i = 0; i < arguments.length;) {\n n = new this(arguments[i++]);\n\n if (!n.d) {\n if (n.s) {\n external = true;\n return new this(1 / 0);\n }\n\n t = n;\n } else if (t.d) {\n t = t.plus(n.times(n));\n }\n }\n\n external = true;\n return t.sqrt();\n }\n /*\r\n * Return true if object is a Decimal instance (where Decimal is any Decimal constructor),\r\n * otherwise return false.\r\n *\r\n */\n\n\n function isDecimalInstance(obj) {\n return obj instanceof Decimal || obj && obj.name === '[object Decimal]' || false;\n }\n /*\r\n * Return a new Decimal whose value is the natural logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function ln(x) {\n return new this(x).ln();\n }\n /*\r\n * Return a new Decimal whose value is the log of `x` to the base `y`, or to base 10 if no base\r\n * is specified, rounded to `precision` significant digits using rounding mode `rounding`.\r\n *\r\n * log[y](x)\r\n *\r\n * x {number|string|Decimal} The argument of the logarithm.\r\n * y {number|string|Decimal} The base of the logarithm.\r\n *\r\n */\n\n\n function log(x, y) {\n return new this(x).log(y);\n }\n /*\r\n * Return a new Decimal whose value is the base 2 logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function log2(x) {\n return new this(x).log(2);\n }\n /*\r\n * Return a new Decimal whose value is the base 10 logarithm of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function log10(x) {\n return new this(x).log(10);\n }\n /*\r\n * Return a new Decimal whose value is the maximum of the arguments.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\n\n\n function max() {\n return maxOrMin(this, arguments, 'lt');\n }\n /*\r\n * Return a new Decimal whose value is the minimum of the arguments.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\n\n\n function min() {\n return maxOrMin(this, arguments, 'gt');\n }\n /*\r\n * Return a new Decimal whose value is `x` modulo `y`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\n\n\n function mod(x, y) {\n return new this(x).mod(y);\n }\n /*\r\n * Return a new Decimal whose value is `x` multiplied by `y`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\n\n\n function mul(x, y) {\n return new this(x).mul(y);\n }\n /*\r\n * Return a new Decimal whose value is `x` raised to the power `y`, rounded to precision\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} The base.\r\n * y {number|string|Decimal} The exponent.\r\n *\r\n */\n\n\n function pow(x, y) {\n return new this(x).pow(y);\n }\n /*\r\n * Returns a new Decimal with a random value equal to or greater than 0 and less than 1, and with\r\n * `sd`, or `Decimal.precision` if `sd` is omitted, significant digits (or less if trailing zeros\r\n * are produced).\r\n *\r\n * [sd] {number} Significant digits. Integer, 0 to MAX_DIGITS inclusive.\r\n *\r\n */\n\n\n function random(sd) {\n var d,\n e,\n k,\n n,\n i = 0,\n r = new this(1),\n rd = [];\n if (sd === void 0) sd = this.precision;else checkInt32(sd, 1, MAX_DIGITS);\n k = Math.ceil(sd / LOG_BASE);\n\n if (!this.crypto) {\n for (; i < k;) {\n rd[i++] = Math.random() * 1e7 | 0;\n } // Browsers supporting crypto.getRandomValues.\n\n } else if (crypto.getRandomValues) {\n d = crypto.getRandomValues(new Uint32Array(k));\n\n for (; i < k;) {\n n = d[i]; // 0 <= n < 4294967296\n // Probability n >= 4.29e9, is 4967296 / 4294967296 = 0.00116 (1 in 865).\n\n if (n >= 4.29e9) {\n d[i] = crypto.getRandomValues(new Uint32Array(1))[0];\n } else {\n // 0 <= n <= 4289999999\n // 0 <= (n % 1e7) <= 9999999\n rd[i++] = n % 1e7;\n }\n } // Node.js supporting crypto.randomBytes.\n\n } else if (crypto.randomBytes) {\n // buffer\n d = crypto.randomBytes(k *= 4);\n\n for (; i < k;) {\n // 0 <= n < 2147483648\n n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 0x7f) << 24); // Probability n >= 2.14e9, is 7483648 / 2147483648 = 0.0035 (1 in 286).\n\n if (n >= 2.14e9) {\n crypto.randomBytes(4).copy(d, i);\n } else {\n // 0 <= n <= 2139999999\n // 0 <= (n % 1e7) <= 9999999\n rd.push(n % 1e7);\n i += 4;\n }\n }\n\n i = k / 4;\n } else {\n throw Error(cryptoUnavailable);\n }\n\n k = rd[--i];\n sd %= LOG_BASE; // Convert trailing digits to zeros according to sd.\n\n if (k && sd) {\n n = mathpow(10, LOG_BASE - sd);\n rd[i] = (k / n | 0) * n;\n } // Remove trailing words which are zero.\n\n\n for (; rd[i] === 0; i--) {\n rd.pop();\n } // Zero?\n\n\n if (i < 0) {\n e = 0;\n rd = [0];\n } else {\n e = -1; // Remove leading words which are zero and adjust exponent accordingly.\n\n for (; rd[0] === 0; e -= LOG_BASE) {\n rd.shift();\n } // Count the digits of the first word of rd to determine leading zeros.\n\n\n for (k = 1, n = rd[0]; n >= 10; n /= 10) {\n k++;\n } // Adjust the exponent for leading zeros of the first word of rd.\n\n\n if (k < LOG_BASE) e -= LOG_BASE - k;\n }\n\n r.e = e;\n r.d = rd;\n return r;\n }\n /*\r\n * Return a new Decimal whose value is `x` rounded to an integer using rounding mode `rounding`.\r\n *\r\n * To emulate `Math.round`, set rounding to 7 (ROUND_HALF_CEIL).\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function round(x) {\n return finalise(x = new this(x), x.e + 1, this.rounding);\n }\n /*\r\n * Return\r\n * 1 if x > 0,\r\n * -1 if x < 0,\r\n * 0 if x is 0,\r\n * -0 if x is -0,\r\n * NaN otherwise\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function sign(x) {\n x = new this(x);\n return x.d ? x.d[0] ? x.s : 0 * x.s : x.s || NaN;\n }\n /*\r\n * Return a new Decimal whose value is the sine of `x`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function sin(x) {\n return new this(x).sin();\n }\n /*\r\n * Return a new Decimal whose value is the hyperbolic sine of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function sinh(x) {\n return new this(x).sinh();\n }\n /*\r\n * Return a new Decimal whose value is the square root of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function sqrt(x) {\n return new this(x).sqrt();\n }\n /*\r\n * Return a new Decimal whose value is `x` minus `y`, rounded to `precision` significant digits\r\n * using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal}\r\n * y {number|string|Decimal}\r\n *\r\n */\n\n\n function sub(x, y) {\n return new this(x).sub(y);\n }\n /*\r\n * Return a new Decimal whose value is the tangent of `x`, rounded to `precision` significant\r\n * digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function tan(x) {\n return new this(x).tan();\n }\n /*\r\n * Return a new Decimal whose value is the hyperbolic tangent of `x`, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * x {number|string|Decimal} A value in radians.\r\n *\r\n */\n\n\n function tanh(x) {\n return new this(x).tanh();\n }\n /*\r\n * Return a new Decimal whose value is `x` truncated to an integer.\r\n *\r\n * x {number|string|Decimal}\r\n *\r\n */\n\n\n function trunc(x) {\n return finalise(x = new this(x), x.e + 1, 1);\n } // Create and configure initial Decimal constructor.\n\n\n Decimal = clone(DEFAULTS);\n Decimal['default'] = Decimal.Decimal = Decimal; // Create the internal constants from their string values.\n\n LN10 = new Decimal(LN10);\n PI = new Decimal(PI); // Export.\n // AMD.\n\n if (typeof define == 'function' && define.amd) {\n define(function () {\n return Decimal;\n }); // Node and other environments that support module.exports.\n } else if (typeof module != 'undefined' && module.exports) {\n if (typeof Symbol == 'function' && typeof Symbol.iterator == 'symbol') {\n P[Symbol.for('nodejs.util.inspect.custom')] = P.toString;\n P[Symbol.toStringTag] = 'Decimal';\n }\n\n module.exports = Decimal; // Browser.\n } else {\n if (!globalScope) {\n globalScope = typeof self != 'undefined' && self && self.self == self ? 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