@dioxide-js/silas/dist/esm/node_modules/bignumber.js/bignumber2.mjs.map

RPC utility for Silas

{"version":3,"file":"bignumber2.mjs","sources":["../../../../node_modules/bignumber.js/bignumber.js"],"sourcesContent":[";(function (globalObject) {\r\n  'use strict';\r\n\r\n/*\r\n *      bignumber.js v9.1.2\r\n *      A JavaScript library for arbitrary-precision arithmetic.\r\n *      https://github.com/MikeMcl/bignumber.js\r\n *      Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>\r\n *      MIT Licensed.\r\n *\r\n *      BigNumber.prototype methods     |  BigNumber methods\r\n *                                      |\r\n *      absoluteValue            abs    |  clone\r\n *      comparedTo                      |  config               set\r\n *      decimalPlaces            dp     |      DECIMAL_PLACES\r\n *      dividedBy                div    |      ROUNDING_MODE\r\n *      dividedToIntegerBy       idiv   |      EXPONENTIAL_AT\r\n *      exponentiatedBy          pow    |      RANGE\r\n *      integerValue                    |      CRYPTO\r\n *      isEqualTo                eq     |      MODULO_MODE\r\n *      isFinite                        |      POW_PRECISION\r\n *      isGreaterThan            gt     |      FORMAT\r\n *      isGreaterThanOrEqualTo   gte    |      ALPHABET\r\n *      isInteger                       |  isBigNumber\r\n *      isLessThan               lt     |  maximum              max\r\n *      isLessThanOrEqualTo      lte    |  minimum              min\r\n *      isNaN                           |  random\r\n *      isNegative                      |  sum\r\n *      isPositive                      |\r\n *      isZero                          |\r\n *      minus                           |\r\n *      modulo                   mod    |\r\n *      multipliedBy             times  |\r\n *      negated                         |\r\n *      plus                            |\r\n *      precision                sd     |\r\n *      shiftedBy                       |\r\n *      squareRoot               sqrt   |\r\n *      toExponential                   |\r\n *      toFixed                         |\r\n *      toFormat                        |\r\n *      toFraction                      |\r\n *      toJSON                          |\r\n *      toNumber                        |\r\n *      toPrecision                     |\r\n *      toString                        |\r\n *      valueOf                         |\r\n *\r\n */\r\n\r\n\r\n  var BigNumber,\r\n    isNumeric = /^-?(?:\\d+(?:\\.\\d*)?|\\.\\d+)(?:e[+-]?\\d+)?$/i,\r\n    mathceil = Math.ceil,\r\n    mathfloor = Math.floor,\r\n\r\n    bignumberError = '[BigNumber Error] ',\r\n    tooManyDigits = bignumberError + 'Number primitive has more than 15 significant digits: ',\r\n\r\n    BASE = 1e14,\r\n    LOG_BASE = 14,\r\n    MAX_SAFE_INTEGER = 0x1fffffffffffff,         // 2^53 - 1\r\n    // MAX_INT32 = 0x7fffffff,                   // 2^31 - 1\r\n    POWS_TEN = [1, 10, 100, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, 1e12, 1e13],\r\n    SQRT_BASE = 1e7,\r\n\r\n    // EDITABLE\r\n    // The limit on the value of DECIMAL_PLACES, TO_EXP_NEG, TO_EXP_POS, MIN_EXP, MAX_EXP, and\r\n    // the arguments to toExponential, toFixed, toFormat, and toPrecision.\r\n    MAX = 1E9;                                   // 0 to MAX_INT32\r\n\r\n\r\n  /*\r\n   * Create and return a BigNumber constructor.\r\n   */\r\n  function clone(configObject) {\r\n    var div, convertBase, parseNumeric,\r\n      P = BigNumber.prototype = { constructor: BigNumber, toString: null, valueOf: null },\r\n      ONE = new BigNumber(1),\r\n\r\n\r\n      //----------------------------- EDITABLE CONFIG DEFAULTS -------------------------------\r\n\r\n\r\n      // The default values below must be integers within the inclusive ranges stated.\r\n      // The values can also be changed at run-time using BigNumber.set.\r\n\r\n      // The maximum number of decimal places for operations involving division.\r\n      DECIMAL_PLACES = 20,                     // 0 to MAX\r\n\r\n      // The rounding mode used when rounding to the above decimal places, and when using\r\n      // toExponential, toFixed, toFormat and toPrecision, and round (default value).\r\n      // UP         0 Away from zero.\r\n      // DOWN       1 Towards zero.\r\n      // CEIL       2 Towards +Infinity.\r\n      // FLOOR      3 Towards -Infinity.\r\n      // HALF_UP    4 Towards nearest neighbour. If equidistant, up.\r\n      // HALF_DOWN  5 Towards nearest neighbour. If equidistant, down.\r\n      // HALF_EVEN  6 Towards nearest neighbour. If equidistant, towards even neighbour.\r\n      // HALF_CEIL  7 Towards nearest neighbour. If equidistant, towards +Infinity.\r\n      // HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\r\n      ROUNDING_MODE = 4,                       // 0 to 8\r\n\r\n      // EXPONENTIAL_AT : [TO_EXP_NEG , TO_EXP_POS]\r\n\r\n      // The exponent value at and beneath which toString returns exponential notation.\r\n      // Number type: -7\r\n      TO_EXP_NEG = -7,                         // 0 to -MAX\r\n\r\n      // The exponent value at and above which toString returns exponential notation.\r\n      // Number type: 21\r\n      TO_EXP_POS = 21,                         // 0 to MAX\r\n\r\n      // RANGE : [MIN_EXP, MAX_EXP]\r\n\r\n      // The minimum exponent value, beneath which underflow to zero occurs.\r\n      // Number type: -324  (5e-324)\r\n      MIN_EXP = -1e7,                          // -1 to -MAX\r\n\r\n      // The maximum exponent value, above which overflow to Infinity occurs.\r\n      // Number type:  308  (1.7976931348623157e+308)\r\n      // For MAX_EXP > 1e7, e.g. new BigNumber('1e100000000').plus(1) may be slow.\r\n      MAX_EXP = 1e7,                           // 1 to MAX\r\n\r\n      // Whether to use cryptographically-secure random number generation, if available.\r\n      CRYPTO = false,                          // true or false\r\n\r\n      // The modulo mode used when calculating the modulus: a mod n.\r\n      // The quotient (q = a / n) is calculated according to the corresponding rounding mode.\r\n      // The remainder (r) is calculated as: r = a - n * q.\r\n      //\r\n      // UP        0 The remainder is positive if the dividend is negative, else is negative.\r\n      // DOWN      1 The remainder has the same sign as the dividend.\r\n      //             This modulo mode is commonly known as 'truncated division' and is\r\n      //             equivalent to (a % n) in JavaScript.\r\n      // FLOOR     3 The remainder has the same sign as the divisor (Python %).\r\n      // HALF_EVEN 6 This modulo mode implements the IEEE 754 remainder function.\r\n      // EUCLID    9 Euclidian division. q = sign(n) * floor(a / abs(n)).\r\n      //             The remainder is always positive.\r\n      //\r\n      // The truncated division, floored division, Euclidian division and IEEE 754 remainder\r\n      // modes are commonly used for the modulus operation.\r\n      // Although the other rounding modes can also be used, they may not give useful results.\r\n      MODULO_MODE = 1,                         // 0 to 9\r\n\r\n      // The maximum number of significant digits of the result of the exponentiatedBy operation.\r\n      // If POW_PRECISION is 0, there will be unlimited significant digits.\r\n      POW_PRECISION = 0,                       // 0 to MAX\r\n\r\n      // The format specification used by the BigNumber.prototype.toFormat method.\r\n      FORMAT = {\r\n        prefix: '',\r\n        groupSize: 3,\r\n        secondaryGroupSize: 0,\r\n        groupSeparator: ',',\r\n        decimalSeparator: '.',\r\n        fractionGroupSize: 0,\r\n        fractionGroupSeparator: '\\xA0',        // non-breaking space\r\n        suffix: ''\r\n      },\r\n\r\n      // The alphabet used for base conversion. It must be at least 2 characters long, with no '+',\r\n      // '-', '.', whitespace, or repeated character.\r\n      // '0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ$_'\r\n      ALPHABET = '0123456789abcdefghijklmnopqrstuvwxyz',\r\n      alphabetHasNormalDecimalDigits = true;\r\n\r\n\r\n    //------------------------------------------------------------------------------------------\r\n\r\n\r\n    // CONSTRUCTOR\r\n\r\n\r\n    /*\r\n     * The BigNumber constructor and exported function.\r\n     * Create and return a new instance of a BigNumber object.\r\n     *\r\n     * v {number|string|BigNumber} A numeric value.\r\n     * [b] {number} The base of v. Integer, 2 to ALPHABET.length inclusive.\r\n     */\r\n    function BigNumber(v, b) {\r\n      var alphabet, c, caseChanged, e, i, isNum, len, str,\r\n        x = this;\r\n\r\n      // Enable constructor call without `new`.\r\n      if (!(x instanceof BigNumber)) return new BigNumber(v, b);\r\n\r\n      if (b == null) {\r\n\r\n        if (v && v._isBigNumber === true) {\r\n          x.s = v.s;\r\n\r\n          if (!v.c || v.e > MAX_EXP) {\r\n            x.c = x.e = null;\r\n          } else if (v.e < MIN_EXP) {\r\n            x.c = [x.e = 0];\r\n          } else {\r\n            x.e = v.e;\r\n            x.c = v.c.slice();\r\n          }\r\n\r\n          return;\r\n        }\r\n\r\n        if ((isNum = typeof v == 'number') && v * 0 == 0) {\r\n\r\n          // Use `1 / n` to handle minus zero also.\r\n          x.s = 1 / v < 0 ? (v = -v, -1) : 1;\r\n\r\n          // Fast path for integers, where n < 2147483648 (2**31).\r\n          if (v === ~~v) {\r\n            for (e = 0, i = v; i >= 10; i /= 10, e++);\r\n\r\n            if (e > MAX_EXP) {\r\n              x.c = x.e = null;\r\n            } else {\r\n              x.e = e;\r\n              x.c = [v];\r\n            }\r\n\r\n            return;\r\n          }\r\n\r\n          str = String(v);\r\n        } else {\r\n\r\n          if (!isNumeric.test(str = String(v))) return parseNumeric(x, str, isNum);\r\n\r\n          x.s = str.charCodeAt(0) == 45 ? (str = str.slice(1), -1) : 1;\r\n        }\r\n\r\n        // Decimal point?\r\n        if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');\r\n\r\n        // Exponential form?\r\n        if ((i = str.search(/e/i)) > 0) {\r\n\r\n          // Determine exponent.\r\n          if (e < 0) e = i;\r\n          e += +str.slice(i + 1);\r\n          str = str.substring(0, i);\r\n        } else if (e < 0) {\r\n\r\n          // Integer.\r\n          e = str.length;\r\n        }\r\n\r\n      } else {\r\n\r\n        // '[BigNumber Error] Base {not a primitive number|not an integer|out of range}: {b}'\r\n        intCheck(b, 2, ALPHABET.length, 'Base');\r\n\r\n        // Allow exponential notation to be used with base 10 argument, while\r\n        // also rounding to DECIMAL_PLACES as with other bases.\r\n        if (b == 10 && alphabetHasNormalDecimalDigits) {\r\n          x = new BigNumber(v);\r\n          return round(x, DECIMAL_PLACES + x.e + 1, ROUNDING_MODE);\r\n        }\r\n\r\n        str = String(v);\r\n\r\n        if (isNum = typeof v == 'number') {\r\n\r\n          // Avoid potential interpretation of Infinity and NaN as base 44+ values.\r\n          if (v * 0 != 0) return parseNumeric(x, str, isNum, b);\r\n\r\n          x.s = 1 / v < 0 ? (str = str.slice(1), -1) : 1;\r\n\r\n          // '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'\r\n          if (BigNumber.DEBUG && str.replace(/^0\\.0*|\\./, '').length > 15) {\r\n            throw Error\r\n             (tooManyDigits + v);\r\n          }\r\n        } else {\r\n          x.s = str.charCodeAt(0) === 45 ? (str = str.slice(1), -1) : 1;\r\n        }\r\n\r\n        alphabet = ALPHABET.slice(0, b);\r\n        e = i = 0;\r\n\r\n        // Check that str is a valid base b number.\r\n        // Don't use RegExp, so alphabet can contain special characters.\r\n        for (len = str.length; i < len; i++) {\r\n          if (alphabet.indexOf(c = str.charAt(i)) < 0) {\r\n            if (c == '.') {\r\n\r\n              // If '.' is not the first character and it has not be found before.\r\n              if (i > e) {\r\n                e = len;\r\n                continue;\r\n              }\r\n            } else if (!caseChanged) {\r\n\r\n              // Allow e.g. hexadecimal 'FF' as well as 'ff'.\r\n              if (str == str.toUpperCase() && (str = str.toLowerCase()) ||\r\n                  str == str.toLowerCase() && (str = str.toUpperCase())) {\r\n                caseChanged = true;\r\n                i = -1;\r\n                e = 0;\r\n                continue;\r\n              }\r\n            }\r\n\r\n            return parseNumeric(x, String(v), isNum, b);\r\n          }\r\n        }\r\n\r\n        // Prevent later check for length on converted number.\r\n        isNum = false;\r\n        str = convertBase(str, b, 10, x.s);\r\n\r\n        // Decimal point?\r\n        if ((e = str.indexOf('.')) > -1) str = str.replace('.', '');\r\n        else e = str.length;\r\n      }\r\n\r\n      // Determine leading zeros.\r\n      for (i = 0; str.charCodeAt(i) === 48; i++);\r\n\r\n      // Determine trailing zeros.\r\n      for (len = str.length; str.charCodeAt(--len) === 48;);\r\n\r\n      if (str = str.slice(i, ++len)) {\r\n        len -= i;\r\n\r\n        // '[BigNumber Error] Number primitive has more than 15 significant digits: {n}'\r\n        if (isNum && BigNumber.DEBUG &&\r\n          len > 15 && (v > MAX_SAFE_INTEGER || v !== mathfloor(v))) {\r\n            throw Error\r\n             (tooManyDigits + (x.s * v));\r\n        }\r\n\r\n         // Overflow?\r\n        if ((e = e - i - 1) > MAX_EXP) {\r\n\r\n          // Infinity.\r\n          x.c = x.e = null;\r\n\r\n        // Underflow?\r\n        } else if (e < MIN_EXP) {\r\n\r\n          // Zero.\r\n          x.c = [x.e = 0];\r\n        } else {\r\n          x.e = e;\r\n          x.c = [];\r\n\r\n          // Transform base\r\n\r\n          // e is the base 10 exponent.\r\n          // i is where to slice str to get the first element of the coefficient array.\r\n          i = (e + 1) % LOG_BASE;\r\n          if (e < 0) i += LOG_BASE;  // i < 1\r\n\r\n          if (i < len) {\r\n            if (i) x.c.push(+str.slice(0, i));\r\n\r\n            for (len -= LOG_BASE; i < len;) {\r\n              x.c.push(+str.slice(i, i += LOG_BASE));\r\n            }\r\n\r\n            i = LOG_BASE - (str = str.slice(i)).length;\r\n          } else {\r\n            i -= len;\r\n          }\r\n\r\n          for (; i--; str += '0');\r\n          x.c.push(+str);\r\n        }\r\n      } else {\r\n\r\n        // Zero.\r\n        x.c = [x.e = 0];\r\n      }\r\n    }\r\n\r\n\r\n    // CONSTRUCTOR PROPERTIES\r\n\r\n\r\n    BigNumber.clone = clone;\r\n\r\n    BigNumber.ROUND_UP = 0;\r\n    BigNumber.ROUND_DOWN = 1;\r\n    BigNumber.ROUND_CEIL = 2;\r\n    BigNumber.ROUND_FLOOR = 3;\r\n    BigNumber.ROUND_HALF_UP = 4;\r\n    BigNumber.ROUND_HALF_DOWN = 5;\r\n    BigNumber.ROUND_HALF_EVEN = 6;\r\n    BigNumber.ROUND_HALF_CEIL = 7;\r\n    BigNumber.ROUND_HALF_FLOOR = 8;\r\n    BigNumber.EUCLID = 9;\r\n\r\n\r\n    /*\r\n     * Configure infrequently-changing library-wide settings.\r\n     *\r\n     * Accept an object with the following optional properties (if the value of a property is\r\n     * a number, it must be an integer within the inclusive range stated):\r\n     *\r\n     *   DECIMAL_PLACES   {number}           0 to MAX\r\n     *   ROUNDING_MODE    {number}           0 to 8\r\n     *   EXPONENTIAL_AT   {number|number[]}  -MAX to MAX  or  [-MAX to 0, 0 to MAX]\r\n     *   RANGE            {number|number[]}  -MAX to MAX (not zero)  or  [-MAX to -1, 1 to MAX]\r\n     *   CRYPTO           {boolean}          true or false\r\n     *   MODULO_MODE      {number}           0 to 9\r\n     *   POW_PRECISION       {number}           0 to MAX\r\n     *   ALPHABET         {string}           A string of two or more unique characters which does\r\n     *                                       not contain '.'.\r\n     *   FORMAT           {object}           An object with some of the following properties:\r\n     *     prefix                 {string}\r\n     *     groupSize              {number}\r\n     *     secondaryGroupSize     {number}\r\n     *     groupSeparator         {string}\r\n     *     decimalSeparator       {string}\r\n     *     fractionGroupSize      {number}\r\n     *     fractionGroupSeparator {string}\r\n     *     suffix                 {string}\r\n     *\r\n     * (The values assigned to the above FORMAT object properties are not checked for validity.)\r\n     *\r\n     * E.g.\r\n     * BigNumber.config({ DECIMAL_PLACES : 20, ROUNDING_MODE : 4 })\r\n     *\r\n     * Ignore properties/parameters set to null or undefined, except for ALPHABET.\r\n     *\r\n     * Return an object with the properties current values.\r\n     */\r\n    BigNumber.config = BigNumber.set = function (obj) {\r\n      var p, v;\r\n\r\n      if (obj != null) {\r\n\r\n        if (typeof obj == 'object') {\r\n\r\n          // DECIMAL_PLACES {number} Integer, 0 to MAX inclusive.\r\n          // '[BigNumber Error] DECIMAL_PLACES {not a primitive number|not an integer|out of range}: {v}'\r\n          if (obj.hasOwnProperty(p = 'DECIMAL_PLACES')) {\r\n            v = obj[p];\r\n            intCheck(v, 0, MAX, p);\r\n            DECIMAL_PLACES = v;\r\n          }\r\n\r\n          // ROUNDING_MODE {number} Integer, 0 to 8 inclusive.\r\n          // '[BigNumber Error] ROUNDING_MODE {not a primitive number|not an integer|out of range}: {v}'\r\n          if (obj.hasOwnProperty(p = 'ROUNDING_MODE')) {\r\n            v = obj[p];\r\n            intCheck(v, 0, 8, p);\r\n            ROUNDING_MODE = v;\r\n          }\r\n\r\n          // EXPONENTIAL_AT {number|number[]}\r\n          // Integer, -MAX to MAX inclusive or\r\n          // [integer -MAX to 0 inclusive, 0 to MAX inclusive].\r\n          // '[BigNumber Error] EXPONENTIAL_AT {not a primitive number|not an integer|out of range}: {v}'\r\n          if (obj.hasOwnProperty(p = 'EXPONENTIAL_AT')) {\r\n            v = obj[p];\r\n            if (v && v.pop) {\r\n              intCheck(v[0], -MAX, 0, p);\r\n              intCheck(v[1], 0, MAX, p);\r\n              TO_EXP_NEG = v[0];\r\n              TO_EXP_POS = v[1];\r\n            } else {\r\n              intCheck(v, -MAX, MAX, p);\r\n              TO_EXP_NEG = -(TO_EXP_POS = v < 0 ? -v : v);\r\n            }\r\n          }\r\n\r\n          // RANGE {number|number[]} Non-zero integer, -MAX to MAX inclusive or\r\n          // [integer -MAX to -1 inclusive, integer 1 to MAX inclusive].\r\n          // '[BigNumber Error] RANGE {not a primitive number|not an integer|out of range|cannot be zero}: {v}'\r\n          if (obj.hasOwnProperty(p = 'RANGE')) {\r\n            v = obj[p];\r\n            if (v && v.pop) {\r\n              intCheck(v[0], -MAX, -1, p);\r\n              intCheck(v[1], 1, MAX, p);\r\n              MIN_EXP = v[0];\r\n              MAX_EXP = v[1];\r\n            } else {\r\n              intCheck(v, -MAX, MAX, p);\r\n              if (v) {\r\n                MIN_EXP = -(MAX_EXP = v < 0 ? -v : v);\r\n              } else {\r\n                throw Error\r\n                 (bignumberError + p + ' cannot be zero: ' + v);\r\n              }\r\n            }\r\n          }\r\n\r\n          // CRYPTO {boolean} true or false.\r\n          // '[BigNumber Error] CRYPTO not true or false: {v}'\r\n          // '[BigNumber Error] crypto unavailable'\r\n          if (obj.hasOwnProperty(p = 'CRYPTO')) {\r\n            v = obj[p];\r\n            if (v === !!v) {\r\n              if (v) {\r\n                if (typeof crypto != 'undefined' && crypto &&\r\n                 (crypto.getRandomValues || crypto.randomBytes)) {\r\n                  CRYPTO = v;\r\n                } else {\r\n                  CRYPTO = !v;\r\n                  throw Error\r\n                   (bignumberError + 'crypto unavailable');\r\n                }\r\n              } else {\r\n                CRYPTO = v;\r\n              }\r\n            } else {\r\n              throw Error\r\n               (bignumberError + p + ' not true or false: ' + v);\r\n            }\r\n          }\r\n\r\n          // MODULO_MODE {number} Integer, 0 to 9 inclusive.\r\n          // '[BigNumber Error] MODULO_MODE {not a primitive number|not an integer|out of range}: {v}'\r\n          if (obj.hasOwnProperty(p = 'MODULO_MODE')) {\r\n            v = obj[p];\r\n            intCheck(v, 0, 9, p);\r\n            MODULO_MODE = v;\r\n          }\r\n\r\n          // POW_PRECISION {number} Integer, 0 to MAX inclusive.\r\n          // '[BigNumber Error] POW_PRECISION {not a primitive number|not an integer|out of range}: {v}'\r\n          if (obj.hasOwnProperty(p = 'POW_PRECISION')) {\r\n            v = obj[p];\r\n            intCheck(v, 0, MAX, p);\r\n            POW_PRECISION = v;\r\n          }\r\n\r\n          // FORMAT {object}\r\n          // '[BigNumber Error] FORMAT not an object: {v}'\r\n          if (obj.hasOwnProperty(p = 'FORMAT')) {\r\n            v = obj[p];\r\n            if (typeof v == 'object') FORMAT = v;\r\n            else throw Error\r\n             (bignumberError + p + ' not an object: ' + v);\r\n          }\r\n\r\n          // ALPHABET {string}\r\n          // '[BigNumber Error] ALPHABET invalid: {v}'\r\n          if (obj.hasOwnProperty(p = 'ALPHABET')) {\r\n            v = obj[p];\r\n\r\n            // Disallow if less than two characters,\r\n            // or if it contains '+', '-', '.', whitespace, or a repeated character.\r\n            if (typeof v == 'string' && !/^.?$|[+\\-.\\s]|(.).*\\1/.test(v)) {\r\n              alphabetHasNormalDecimalDigits = v.slice(0, 10) == '0123456789';\r\n              ALPHABET = v;\r\n            } else {\r\n              throw Error\r\n               (bignumberError + p + ' invalid: ' + v);\r\n            }\r\n          }\r\n\r\n        } else {\r\n\r\n          // '[BigNumber Error] Object expected: {v}'\r\n          throw Error\r\n           (bignumberError + 'Object expected: ' + obj);\r\n        }\r\n      }\r\n\r\n      return {\r\n        DECIMAL_PLACES: DECIMAL_PLACES,\r\n        ROUNDING_MODE: ROUNDING_MODE,\r\n        EXPONENTIAL_AT: [TO_EXP_NEG, TO_EXP_POS],\r\n        RANGE: [MIN_EXP, MAX_EXP],\r\n        CRYPTO: CRYPTO,\r\n        MODULO_MODE: MODULO_MODE,\r\n        POW_PRECISION: POW_PRECISION,\r\n        FORMAT: FORMAT,\r\n        ALPHABET: ALPHABET\r\n      };\r\n    };\r\n\r\n\r\n    /*\r\n     * Return true if v is a BigNumber instance, otherwise return false.\r\n     *\r\n     * If BigNumber.DEBUG is true, throw if a BigNumber instance is not well-formed.\r\n     *\r\n     * v {any}\r\n     *\r\n     * '[BigNumber Error] Invalid BigNumber: {v}'\r\n     */\r\n    BigNumber.isBigNumber = function (v) {\r\n      if (!v || v._isBigNumber !== true) return false;\r\n      if (!BigNumber.DEBUG) return true;\r\n\r\n      var i, n,\r\n        c = v.c,\r\n        e = v.e,\r\n        s = v.s;\r\n\r\n      out: if ({}.toString.call(c) == '[object Array]') {\r\n\r\n        if ((s === 1 || s === -1) && e >= -MAX && e <= MAX && e === mathfloor(e)) {\r\n\r\n          // If the first element is zero, the BigNumber value must be zero.\r\n          if (c[0] === 0) {\r\n            if (e === 0 && c.length === 1) return true;\r\n            break out;\r\n          }\r\n\r\n          // Calculate number of digits that c[0] should have, based on the exponent.\r\n          i = (e + 1) % LOG_BASE;\r\n          if (i < 1) i += LOG_BASE;\r\n\r\n          // Calculate number of digits of c[0].\r\n          //if (Math.ceil(Math.log(c[0] + 1) / Math.LN10) == i) {\r\n          if (String(c[0]).length == i) {\r\n\r\n            for (i = 0; i < c.length; i++) {\r\n              n = c[i];\r\n              if (n < 0 || n >= BASE || n !== mathfloor(n)) break out;\r\n            }\r\n\r\n            // Last element cannot be zero, unless it is the only element.\r\n            if (n !== 0) return true;\r\n          }\r\n        }\r\n\r\n      // Infinity/NaN\r\n      } else if (c === null && e === null && (s === null || s === 1 || s === -1)) {\r\n        return true;\r\n      }\r\n\r\n      throw Error\r\n        (bignumberError + 'Invalid BigNumber: ' + v);\r\n    };\r\n\r\n\r\n    /*\r\n     * Return a new BigNumber whose value is the maximum of the arguments.\r\n     *\r\n     * arguments {number|string|BigNumber}\r\n     */\r\n    BigNumber.maximum = BigNumber.max = function () {\r\n      return maxOrMin(arguments, -1);\r\n    };\r\n\r\n\r\n    /*\r\n     * Return a new BigNumber whose value is the minimum of the arguments.\r\n     *\r\n     * arguments {number|string|BigNumber}\r\n     */\r\n    BigNumber.minimum = BigNumber.min = function () {\r\n      return maxOrMin(arguments, 1);\r\n    };\r\n\r\n\r\n    /*\r\n     * Return a new BigNumber with a random value equal to or greater than 0 and less than 1,\r\n     * and with dp, or DECIMAL_PLACES if dp is omitted, decimal places (or less if trailing\r\n     * zeros are produced).\r\n     *\r\n     * [dp] {number} Decimal places. Integer, 0 to MAX inclusive.\r\n     *\r\n     * '[BigNumber Error] Argument {not a primitive number|not an integer|out of range}: {dp}'\r\n     * '[BigNumber Error] crypto unavailable'\r\n     */\r\n    BigNumber.random = (function () {\r\n      var pow2_53 = 0x20000000000000;\r\n\r\n      // Return a 53 bit integer n, where 0 <= n < 9007199254740992.\r\n      // Check if Math.random() produces more than 32 bits of randomness.\r\n      // If it does, assume at least 53 bits are produced, otherwise assume at least 30 bits.\r\n      // 0x40000000 is 2^30, 0x800000 is 2^23, 0x1fffff is 2^21 - 1.\r\n      var random53bitInt = (Math.random() * pow2_53) & 0x1fffff\r\n       ? function () { return mathfloor(Math.random() * pow2_53); }\r\n       : function () { return ((Math.random() * 0x40000000 | 0) * 0x800000) +\r\n         (Math.random() * 0x800000 | 0); };\r\n\r\n      return function (dp) {\r\n        var a, b, e, k, v,\r\n          i = 0,\r\n          c = [],\r\n          rand = new BigNumber(ONE);\r\n\r\n        if (dp == null) dp = DECIMAL_PLACES;\r\n        else intCheck(dp, 0, MAX);\r\n\r\n        k = mathceil(dp / LOG_BASE);\r\n\r\n        if (CRYPTO) {\r\n\r\n          // Browsers supporting crypto.getRandomValues.\r\n          if (crypto.getRandomValues) {\r\n\r\n            a = crypto.getRandomValues(new Uint32Array(k *= 2));\r\n\r\n            for (; i < k;) {\r\n\r\n              // 53 bits:\r\n              // ((Math.pow(2, 32) - 1) * Math.pow(2, 21)).toString(2)\r\n              // 11111 11111111 11111111 11111111 11100000 00000000 00000000\r\n              // ((Math.pow(2, 32) - 1) >>> 11).toString(2)\r\n              //                                     11111 11111111 11111111\r\n              // 0x20000 is 2^21.\r\n              v = a[i] * 0x20000 + (a[i + 1] >>> 11);\r\n\r\n              // Rejection sampling:\r\n              // 0 <= v < 9007199254740992\r\n              // Probability that v >= 9e15, is\r\n              // 7199254740992 / 9007199254740992 ~= 0.0008, i.e. 1 in 1251\r\n              if (v >= 9e15) {\r\n                b = crypto.getRandomValues(new Uint32Array(2));\r\n                a[i] = b[0];\r\n                a[i + 1] = b[1];\r\n              } else {\r\n\r\n                // 0 <= v <= 8999999999999999\r\n                // 0 <= (v % 1e14) <= 99999999999999\r\n                c.push(v % 1e14);\r\n                i += 2;\r\n              }\r\n            }\r\n            i = k / 2;\r\n\r\n          // Node.js supporting crypto.randomBytes.\r\n          } else if (crypto.randomBytes) {\r\n\r\n            // buffer\r\n            a = crypto.randomBytes(k *= 7);\r\n\r\n            for (; i < k;) {\r\n\r\n              // 0x1000000000000 is 2^48, 0x10000000000 is 2^40\r\n              // 0x100000000 is 2^32, 0x1000000 is 2^24\r\n              // 11111 11111111 11111111 11111111 11111111 11111111 11111111\r\n              // 0 <= v < 9007199254740992\r\n              v = ((a[i] & 31) * 0x1000000000000) + (a[i + 1] * 0x10000000000) +\r\n                 (a[i + 2] * 0x100000000) + (a[i + 3] * 0x1000000) +\r\n                 (a[i + 4] << 16) + (a[i + 5] << 8) + a[i + 6];\r\n\r\n              if (v >= 9e15) {\r\n                crypto.randomBytes(7).copy(a, i);\r\n              } else {\r\n\r\n                // 0 <= (v % 1e14) <= 99999999999999\r\n                c.push(v % 1e14);\r\n                i += 7;\r\n              }\r\n            }\r\n            i = k / 7;\r\n          } else {\r\n            CRYPTO = false;\r\n            throw Error\r\n             (bignumberError + 'crypto unavailable');\r\n          }\r\n        }\r\n\r\n        // Use Math.random.\r\n        if (!CRYPTO) {\r\n\r\n          for (; i < k;) {\r\n            v = random53bitInt();\r\n            if (v < 9e15) c[i++] = v % 1e14;\r\n          }\r\n        }\r\n\r\n        k = c[--i];\r\n        dp %= LOG_BASE;\r\n\r\n        // Convert trailing digits to zeros according to dp.\r\n        if (k && dp) {\r\n          v = POWS_TEN[LOG_BASE - dp];\r\n          c[i] = mathfloor(k / v) * v;\r\n        }\r\n\r\n        // Remove trailing elements which are zero.\r\n        for (; c[i] === 0; c.pop(), i--);\r\n\r\n        // Zero?\r\n        if (i < 0) {\r\n          c = [e = 0];\r\n        } else {\r\n\r\n          // Remove leading elements which are zero and adjust exponent accordingly.\r\n          for (e = -1 ; c[0] === 0; c.splice(0, 1), e -= LOG_BASE);\r\n\r\n          // Count the digits of the first element of c to determine leading zeros, and...\r\n          for (i = 1, v = c[0]; v >= 10; v /= 10, i++);\r\n\r\n          // adjust the exponent accordingly.\r\n          if (i < LOG_BASE) e -= LOG_BASE - i;\r\n        }\r\n\r\n        rand.e = e;\r\n        rand.c = c;\r\n        return rand;\r\n      };\r\n    })();\r\n\r\n\r\n    /*\r\n     * Return a BigNumber whose value is the sum of the arguments.\r\n     *\r\n     * arguments {number|string|BigNumber}\r\n     */\r\n    BigNumber.sum = function () {\r\n      var i = 1,\r\n        args = arguments,\r\n        sum = new BigNumber(args[0]);\r\n      for (; i < args.length;) sum = sum.plus(args[i++]);\r\n      return sum;\r\n    };\r\n\r\n\r\n    // PRIVATE FUNCTIONS\r\n\r\n\r\n    // Called by BigNumber and BigNumber.prototype.toString.\r\n    convertBase = (function () {\r\n      var decimal = '0123456789';\r\n\r\n      /*\r\n       * Convert string of baseIn to an array of numbers of baseOut.\r\n       * Eg. toBaseOut('255', 10, 16) returns [15, 15].\r\n       * Eg. toBaseOut('ff', 16, 10) returns [2, 5, 5].\r\n       */\r\n      function toBaseOut(str, baseIn, baseOut, alphabet) {\r\n        var j,\r\n          arr = [0],\r\n          arrL,\r\n          i = 0,\r\n          len = str.length;\r\n\r\n        for (; i < len;) {\r\n          for (arrL = arr.length; arrL--; arr[arrL] *= baseIn);\r\n\r\n          arr[0] += alphabet.indexOf(str.charAt(i++));\r\n\r\n          for (j = 0; j < arr.length; j++) {\r\n\r\n            if (arr[j] > baseOut - 1) {\r\n              if (arr[j + 1] == null) arr[j + 1] = 0;\r\n              arr[j + 1] += arr[j] / baseOut | 0;\r\n              arr[j] %= baseOut;\r\n            }\r\n          }\r\n        }\r\n\r\n        return arr.reverse();\r\n      }\r\n\r\n      // Convert a numeric string of baseIn to a numeric string of baseOut.\r\n      // If the caller is toString, we are converting from base 10 to baseOut.\r\n      // If the caller is BigNumber, we are converting from baseIn to base 10.\r\n      return function (str, baseIn, baseOut, sign, callerIsToString) {\r\n        var alphabet, d, e, k, r, x, xc, y,\r\n          i = str.indexOf('.'),\r\n          dp = DECIMAL_PLACES,\r\n          rm = ROUNDING_MODE;\r\n\r\n        // Non-integer.\r\n        if (i >= 0) {\r\n          k = POW_PRECISION;\r\n\r\n          // Unlimited precision.\r\n          POW_PRECISION = 0;\r\n          str = str.replace('.', '');\r\n          y = new BigNumber(baseIn);\r\n          x = y.pow(str.length - i);\r\n          POW_PRECISION = k;\r\n\r\n          // Convert str as if an integer, then restore the fraction part by dividing the\r\n          // result by its base raised to a power.\r\n\r\n          y.c = toBaseOut(toFixedPoint(coeffToString(x.c), x.e, '0'),\r\n           10, baseOut, decimal);\r\n          y.e = y.c.length;\r\n        }\r\n\r\n        // Convert the number as integer.\r\n\r\n        xc = toBaseOut(str, baseIn, baseOut, callerIsToString\r\n         ? (alphabet = ALPHABET, decimal)\r\n         : (alphabet = decimal, ALPHABET));\r\n\r\n        // xc now represents str as an integer and converted to baseOut. e is the exponent.\r\n        e = k = xc.length;\r\n\r\n        // Remove trailing zeros.\r\n        for (; xc[--k] == 0; xc.pop());\r\n\r\n        // Zero?\r\n        if (!xc[0]) return alphabet.charAt(0);\r\n\r\n        // Does str represent an integer? If so, no need for the division.\r\n        if (i < 0) {\r\n          --e;\r\n        } else {\r\n          x.c = xc;\r\n          x.e = e;\r\n\r\n          // The sign is needed for correct rounding.\r\n          x.s = sign;\r\n          x = div(x, y, dp, rm, baseOut);\r\n          xc = x.c;\r\n          r = x.r;\r\n          e = x.e;\r\n        }\r\n\r\n        // xc now represents str converted to baseOut.\r\n\r\n        // THe index of the rounding digit.\r\n        d = e + dp + 1;\r\n\r\n        // The rounding digit: the digit to the right of the digit that may be rounded up.\r\n        i = xc[d];\r\n\r\n        // Look at the rounding digits and mode to determine whether to round up.\r\n\r\n        k = baseOut / 2;\r\n        r = r || d < 0 || xc[d + 1] != null;\r\n\r\n        r = rm < 4 ? (i != null || r) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))\r\n              : i > k || i == k &&(rm == 4 || r || rm == 6 && xc[d - 1] & 1 ||\r\n               rm == (x.s < 0 ? 8 : 7));\r\n\r\n        // If the index of the rounding digit is not greater than zero, or xc represents\r\n        // zero, then the result of the base conversion is zero or, if rounding up, a value\r\n        // such as 0.00001.\r\n        if (d < 1 || !xc[0]) {\r\n\r\n          // 1^-dp or 0\r\n          str = r ? toFixedPoint(alphabet.charAt(1), -dp, alphabet.charAt(0)) : alphabet.charAt(0);\r\n        } else {\r\n\r\n          // Truncate xc to the required number of decimal places.\r\n          xc.length = d;\r\n\r\n          // Round up?\r\n          if (r) {\r\n\r\n            // Rounding up may mean the previous digit has to be rounded up and so on.\r\n            for (--baseOut; ++xc[--d] > baseOut;) {\r\n              xc[d] = 0;\r\n\r\n              if (!d) {\r\n                ++e;\r\n                xc = [1].concat(xc);\r\n              }\r\n            }\r\n          }\r\n\r\n          // Determine trailing zeros.\r\n          for (k = xc.length; !xc[--k];);\r\n\r\n          // E.g. [4, 11, 15] becomes 4bf.\r\n          for (i = 0, str = ''; i <= k; str += alphabet.charAt(xc[i++]));\r\n\r\n          // Add leading zeros, decimal point and trailing zeros as required.\r\n          str = toFixedPoint(str, e, alphabet.charAt(0));\r\n        }\r\n\r\n        // The caller will add the sign.\r\n        return str;\r\n      };\r\n    })();\r\n\r\n\r\n    // Perform division in the specified base. Called by div and convertBase.\r\n    div = (function () {\r\n\r\n      // Assume non-zero x and k.\r\n      function multiply(x, k, base) {\r\n        var m, temp, xlo, xhi,\r\n          carry = 0,\r\n          i = x.length,\r\n          klo = k % SQRT_BASE,\r\n          khi = k / SQRT_BASE | 0;\r\n\r\n        for (x = x.slice(); i--;) {\r\n          xlo = x[i] % SQRT_BASE;\r\n          xhi = x[i] / SQRT_BASE | 0;\r\n          m = khi * xlo + xhi * klo;\r\n          temp = klo * xlo + ((m % SQRT_BASE) * SQRT_BASE) + carry;\r\n          carry = (temp / base | 0) + (m / SQRT_BASE | 0) + khi * xhi;\r\n          x[i] = temp % base;\r\n        }\r\n\r\n        if (carry) x = [carry].concat(x);\r\n\r\n        return x;\r\n      }\r\n\r\n      function compare(a, b, aL, bL) {\r\n        var i, cmp;\r\n\r\n        if (aL != bL) {\r\n          cmp = aL > bL ? 1 : -1;\r\n        } else {\r\n\r\n          for (i = cmp = 0; i < aL; i++) {\r\n\r\n            if (a[i] != b[i]) {\r\n              cmp = a[i] > b[i] ? 1 : -1;\r\n              break;\r\n            }\r\n          }\r\n        }\r\n\r\n        return cmp;\r\n      }\r\n\r\n      function subtract(a, b, aL, base) {\r\n        var i = 0;\r\n\r\n        // Subtract b from a.\r\n        for (; aL--;) {\r\n          a[aL] -= i;\r\n          i = a[aL] < b[aL] ? 1 : 0;\r\n          a[aL] = i * base + a[aL] - b[aL];\r\n        }\r\n\r\n        // Remove leading zeros.\r\n        for (; !a[0] && a.length > 1; a.splice(0, 1));\r\n      }\r\n\r\n      // x: dividend, y: divisor.\r\n      return function (x, y, dp, rm, base) {\r\n        var cmp, e, i, more, n, prod, prodL, q, qc, rem, remL, rem0, xi, xL, yc0,\r\n          yL, yz,\r\n          s = x.s == y.s ? 1 : -1,\r\n          xc = x.c,\r\n          yc = y.c;\r\n\r\n        // Either NaN, Infinity or 0?\r\n        if (!xc || !xc[0] || !yc || !yc[0]) {\r\n\r\n          return new BigNumber(\r\n\r\n           // Return NaN if either NaN, or both Infinity or 0.\r\n           !x.s || !y.s || (xc ? yc && xc[0] == yc[0] : !yc) ? NaN :\r\n\r\n            // Return ±0 if x is ±0 or y is ±Infinity, or return ±Infinity as y is ±0.\r\n            xc && xc[0] == 0 || !yc ? s * 0 : s / 0\r\n         );\r\n        }\r\n\r\n        q = new BigNumber(s);\r\n        qc = q.c = [];\r\n        e = x.e - y.e;\r\n        s = dp + e + 1;\r\n\r\n        if (!base) {\r\n          base = BASE;\r\n          e = bitFloor(x.e / LOG_BASE) - bitFloor(y.e / LOG_BASE);\r\n          s = s / LOG_BASE | 0;\r\n        }\r\n\r\n        // Result exponent may be one less then the current value of e.\r\n        // The coefficients of the BigNumbers from convertBase may have trailing zeros.\r\n        for (i = 0; yc[i] == (xc[i] || 0); i++);\r\n\r\n        if (yc[i] > (xc[i] || 0)) e--;\r\n\r\n        if (s < 0) {\r\n          qc.push(1);\r\n          more = true;\r\n        } else {\r\n          xL = xc.length;\r\n          yL = yc.length;\r\n          i = 0;\r\n          s += 2;\r\n\r\n          // Normalise xc and yc so highest order digit of yc is >= base / 2.\r\n\r\n          n = mathfloor(base / (yc[0] + 1));\r\n\r\n          // Not necessary, but to handle odd bases where yc[0] == (base / 2) - 1.\r\n          // if (n > 1 || n++ == 1 && yc[0] < base / 2) {\r\n          if (n > 1) {\r\n            yc = multiply(yc, n, base);\r\n            xc = multiply(xc, n, base);\r\n            yL = yc.length;\r\n            xL = xc.length;\r\n          }\r\n\r\n          xi = yL;\r\n          rem = xc.slice(0, yL);\r\n          remL = rem.length;\r\n\r\n          // Add zeros to make remainder as long as divisor.\r\n          for (; remL < yL; rem[remL++] = 0);\r\n          yz = yc.slice();\r\n          yz = [0].concat(yz);\r\n          yc0 = yc[0];\r\n          if (yc[1] >= base / 2) yc0++;\r\n          // Not necessary, but to prevent trial digit n > base, when using base 3.\r\n          // else if (base == 3 && yc0 == 1) yc0 = 1 + 1e-15;\r\n\r\n          do {\r\n            n = 0;\r\n\r\n            // Compare divisor and remainder.\r\n            cmp = compare(yc, rem, yL, remL);\r\n\r\n            // If divisor < remainder.\r\n            if (cmp < 0) {\r\n\r\n              // Calculate trial digit, n.\r\n\r\n              rem0 = rem[0];\r\n              if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);\r\n\r\n              // n is how many times the divisor goes into the current remainder.\r\n              n = mathfloor(rem0 / yc0);\r\n\r\n              //  Algorithm:\r\n              //  product = divisor multiplied by trial digit (n).\r\n              //  Compare product and remainder.\r\n              //  If product is greater than remainder:\r\n              //    Subtract divisor from product, decrement trial digit.\r\n              //  Subtract product from remainder.\r\n              //  If product was less than remainder at the last compare:\r\n              //    Compare new remainder and divisor.\r\n              //    If remainder is greater than divisor:\r\n              //      Subtract divisor from remainder, increment trial digit.\r\n\r\n              if (n > 1) {\r\n\r\n                // n may be > base only when base is 3.\r\n                if (n >= base) n = base - 1;\r\n\r\n                // product = divisor * trial digit.\r\n                prod = multiply(yc, n, base);\r\n                prodL = prod.length;\r\n                remL = rem.length;\r\n\r\n                // Compare product and remainder.\r\n                // If product > remainder then trial digit n too high.\r\n                // n is 1 too high about 5% of the time, and is not known to have\r\n                // ever been more than 1 too high.\r\n                while (compare(prod, rem, prodL, remL) == 1) {\r\n                  n--;\r\n\r\n                  // Subtract divisor from product.\r\n                  subtract(prod, yL < prodL ? yz : yc, prodL, base);\r\n                  prodL = prod.length;\r\n                  cmp = 1;\r\n                }\r\n              } else {\r\n\r\n                // n is 0 or 1, cmp is -1.\r\n                // If n is 0, there is no need to compare yc and rem again below,\r\n                // so change cmp to 1 to avoid it.\r\n                // If n is 1, leave cmp as -1, so yc and rem are compared again.\r\n                if (n == 0) {\r\n\r\n                  // divisor < remainder, so n must be at least 1.\r\n                  cmp = n = 1;\r\n                }\r\n\r\n                // product = divisor\r\n                prod = yc.slice();\r\n                prodL = prod.length;\r\n              }\r\n\r\n              if (prodL < remL) prod = [0].concat(prod);\r\n\r\n              // Subtract product from remainder.\r\n              subtract(rem, prod, remL, base);\r\n              remL = rem.length;\r\n\r\n               // If product was < remainder.\r\n              if (cmp == -1) {\r\n\r\n                // Compare divisor and new remainder.\r\n                // If divisor < new remainder, subtract divisor from remainder.\r\n                // Trial digit n too low.\r\n                // n is 1 too low about 5% of the time, and very rarely 2 too low.\r\n                while (compare(yc, rem, yL, remL) < 1) {\r\n                  n++;\r\n\r\n                  // Subtract divisor from remainder.\r\n                  subtract(rem, yL < remL ? yz : yc, remL, base);\r\n                  remL = rem.length;\r\n                }\r\n              }\r\n            } else if (cmp === 0) {\r\n              n++;\r\n              rem = [0];\r\n            } // else cmp === 1 and n will be 0\r\n\r\n            // Add the next digit, n, to the result array.\r\n            qc[i++] = n;\r\n\r\n            // Update the remainder.\r\n            if (rem[0]) {\r\n              rem[remL++] = xc[xi] || 0;\r\n            } else {\r\n              rem = [xc[xi]];\r\n              remL = 1;\r\n            }\r\n          } while ((xi++ < xL || rem[0] != null) && s--);\r\n\r\n          more = rem[0] != null;\r\n\r\n          // Leading zero?\r\n          if (!qc[0]) qc.splice(0, 1);\r\n        }\r\n\r\n        if (base == BASE) {\r\n\r\n          // To calculate q.e, first get the number of digits of qc[0].\r\n          for (i = 1, s = qc[0]; s >= 10; s /= 10, i++);\r\n\r\n          round(q, dp + (q.e = i + e * LOG_BASE - 1) + 1, rm, more);\r\n\r\n        // Caller is convertBase.\r\n        } else {\r\n          q.e = e;\r\n          q.r = +more;\r\n        }\r\n\r\n        return q;\r\n      };\r\n    })();\r\n\r\n\r\n    /*\r\n     * Return a string representing the value of BigNumber n in fixed-point or exponential\r\n     * notation rounded to the specified decimal places or significant digits.\r\n     *\r\n     * n: a BigNumber.\r\n     * i: the index of the last digit required (i.e. the digit that may be rounded up).\r\n     * rm: the rounding mode.\r\n     * id: 1 (toExponential) or 2 (toPrecision).\r\n     */\r\n    function format(n, i, rm, id) {\r\n      var c0, e, ne, len, str;\r\n\r\n      if (rm == null) rm = ROUNDING_MODE;\r\n      else intCheck(rm, 0, 8);\r\n\r\n      if (!n.c) return n.toString();\r\n\r\n      c0 = n.c[0];\r\n      ne = n.e;\r\n\r\n      if (i == null) {\r\n        str = coeffToString(n.c);\r\n        str = id == 1 || id == 2 && (ne <= TO_EXP_NEG || ne >= TO_EXP_POS)\r\n         ? toExponential(str, ne)\r\n         : toFixedPoint(str, ne, '0');\r\n      } else {\r\n        n = round(new BigNumber(n), i, rm);\r\n\r\n        // n.e may have changed if the value was rounded up.\r\n        e = n.e;\r\n\r\n        str = coeffToString(n.c);\r\n        len = str.length;\r\n\r\n        // toPrecision returns exponential notation if the number of significant digits\r\n        // specified is less than the number of digits necessary to represent the integer\r\n        // part of the value in fixed-point notation.\r\n\r\n        // Exponential notation.\r\n        if (id == 1 || id == 2 && (i <= e || e <= TO_EXP_NEG)) {\r\n\r\n          // Append zeros?\r\n          for (; len < i; str += '0', len++);\r\n          str = toExponential(str, e);\r\n\r\n        // Fixed-point notation.\r\n        } else {\r\n          i -= ne;\r\n          str = toFixedPoint(str, e, '0');\r\n\r\n          // Append zeros?\r\n          if (e + 1 > len) {\r\n            if (--i > 0) for (str += '.'; i--; str += '0');\r\n          } else {\r\n            i += e - len;\r\n            if (i > 0) {\r\n              if (e + 1 == len) str += '.';\r\n              for (; i--; str += '0');\r\n            }\r\n          }\r\n        }\r\n      }\r\n\r\n      return n.s < 0 && c0 ? '-' + str : str;\r\n    }\r\n\r\n\r\n    // Handle BigNumber.max and BigNumber.min.\r\n    // If any number is NaN, return NaN.\r\n    function maxOrMin(args, n) {\r\n      var k, y,\r\n        i = 1,\r\n        x = new BigNumber(args[0]);\r\n\r\n      for (; i < args.length; i++) {\r\n        y = new BigNumber(args[i]);\r\n        if (!y.s || (k = compare(x, y)) === n || k === 0 && x.s === n) {\r\n          x = y;\r\n        }\r\n      }\r\n\r\n      return x;\r\n    }\r\n\r\n\r\n    /*\r\n     * Strip trailing zeros, calculate base 10 exponent and check against MIN_EXP and MAX_EXP.\r\n     * Called by minus, plus and times.\r\n     */\r\n    function normalise(n, c, e) {\r\n      var i = 1,\r\n        j = c.length;\r\n\r\n       // Remove trailing zeros.\r\n      for (; !c[--j]; c.pop());\r\n\r\n      // Calculate the base 10 exponent. First get the number of digits of c[0].\r\n      for (j = c[0]; j >= 10; j /= 10, i++);\r\n\r\n      // Overflow?\r\n      if ((e = i + e * LOG_BASE - 1) > MAX_EXP) {\r\n\r\n        // Infinity.\r\n        n.c = n.e = null;\r\n\r\n      // Underflow?\r\n      } else if (e < MIN_EXP) {\r\n\r\n        // Zero.\r\n        n.c = [n.e = 0];\r\n      } else {\r\n        n.e = e;\r\n        n.c = c;\r\n      }\r\n\r\n      return n;\r\n    }\r\n\r\n\r\n    // Handle values that fail the validity test in BigNumber.\r\n    parseNumeric = (function () {\r\n      var basePrefix = /^(-?)0([xbo])(?=\\w[\\w.]*$)/i,\r\n        dotAfter = /^([^.]+)\\.$/,\r\n        dotBefore = /^\\.([^.]+)$/,\r\n        isInfinityOrNaN = /^-?(Infinity|NaN)$/,\r\n        whitespaceOrPlus = /^\\s*\\+(?=[\\w.])|^\\s+|\\s+$/g;\r\n\r\n      return function (x, str, isNum, b) {\r\n        var base,\r\n          s = isNum ? str : str.replace(whitespaceOrPlus, '');\r\n\r\n        // No exception on ±Infinity or NaN.\r\n        if (isInfinityOrNaN.test(s)) {\r\n          x.s = isNaN(s) ? null : s < 0 ? -1 : 1;\r\n        } else {\r\n          if (!isNum) {\r\n\r\n            // basePrefix = /^(-?)0([xbo])(?=\\w[\\w.]*$)/i\r\n            s = s.replace(basePrefix, function (m, p1, p2) {\r\n              base = (p2 = p2.toLowerCase()) == 'x' ? 16 : p2 == 'b' ? 2 : 8;\r\n              return !b || b == base ? p1 : m;\r\n            });\r\n\r\n            if (b) {\r\n              base = b;\r\n\r\n              // E.g. '1.' to '1', '.1' to '0.1'\r\n              s = s.replace(dotAfter, '$1').replace(dotBefore, '0.$1');\r\n            }\r\n\r\n            if (str != s) return new BigNumber(s, base);\r\n          }\r\n\r\n          // '[BigNumber Error] Not a number: {n}'\r\n          // '[BigNumber Error] Not a base {b} number: {n}'\r\n          if (BigNumber.DEBUG) {\r\n            throw Error\r\n              (bignumberError + 'Not a' + (b ? ' base ' + b : '') + ' number: ' + str);\r\n          }\r\n\r\n          // NaN\r\n          x.s = null;\r\n        }\r\n\r\n        x.c = x.e = null;\r\n      }\r\n    })();\r\n\r\n\r\n    /*\r\n     * Round x to sd significant digits using rounding mode rm. Check for over/under-flow.\r\n     * If r is truthy, it is known that there are more digits after the rounding digit.\r\n     */\r\n    function round(x, sd, rm, r) {\r\n      var d, i, j, k, n, ni, rd,\r\n        xc = x.c,\r\n        pows10 = POWS_TEN;\r\n\r\n      // if x is not Infinity or NaN...\r\n      if (xc) {\r\n\r\n        // rd is the rounding digit, i.e. the digit after the digit that may be rounded up.\r\n        // n is a base 1e14 number, the value of the element of array x.c containing rd.\r\n        // ni is the index of n within x.c.\r\n        // d is the number of digits of n.\r\n        // i is the index of rd within n including leading zeros.\r\n        // j is the actual index of rd within n (if < 0, rd is a leading zero).\r\n        out: {\r\n\r\n          // Get the number of digits of the first element of xc.\r\n          for (d = 1, k = xc[0]; k >= 10; k /= 10, d++);\r\n          i = sd - d;\r\n\r\n          // If the rounding digit i