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{"version":3,"file":"polyfill-force-epwvp7Bv.js","sources":["../../node_modules/@formatjs/ecma402-abstract/lib/CanonicalizeLocaleList.js","../../node_modules/@formatjs/ecma402-abstract/lib/CanonicalizeTimeZoneName.js","../../node_modules/decimal.js/decimal.mjs","../../node_modules/@formatjs/ecma402-abstract/lib/constants.js","../../node_modules/@formatjs/ecma402-abstract/lib/262.js","../../node_modules/@formatjs/ecma402-abstract/lib/CoerceOptionsToObject.js","../../node_modules/@formatjs/ecma402-abstract/lib/DefaultNumberOption.js","../../node_modules/@formatjs/ecma402-abstract/lib/GetNumberOption.js","../../node_modules/@formatjs/ecma402-abstract/lib/GetOption.js","../../node_modules/@formatjs/ecma402-abstract/lib/GetOptionsObject.js","../../node_modules/@formatjs/ecma402-abstract/lib/GetStringOrBooleanOption.js","../../node_modules/@formatjs/ecma402-abstract/lib/IsSanctionedSimpleUnitIdentifier.js","../../node_modules/@formatjs/ecma402-abstract/lib/IsValidTimeZoneName.js","../../node_modules/@formatjs/ecma402-abstract/lib/IsWellFormedCurrencyCode.js","../../node_modules/@formatjs/ecma402-abstract/lib/IsWellFormedUnitIdentifier.js","../../node_modules/@formatjs/fast-memoize/lib/index.js","../../node_modules/@formatjs/ecma402-abstract/lib/utils.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/ApplyUnsignedRoundingMode.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/CollapseNumberRange.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/ComputeExponentForMagnitude.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/GetUnsignedRoundingMode.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/ToRawFixed.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/ToRawPrecision.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/FormatNumericToString.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/ComputeExponent.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/CurrencyDigits.js","../../node_modules/@formatjs/ecma402-abstract/lib/regex.generated.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/digit-mapping.generated.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/format_to_parts.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/FormatApproximately.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/PartitionNumberPattern.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/PartitionNumberRangePattern.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/FormatNumericRange.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/FormatNumericRangeToParts.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/FormatNumericToParts.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/SetNumberFormatDigitOptions.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/SetNumberFormatUnitOptions.js","../../node_modules/@formatjs/ecma402-abstract/lib/NumberFormat/InitializeNumberFormat.js","../../node_modules/@formatjs/ecma402-abstract/lib/PartitionPattern.js","../../node_modules/@formatjs/ecma402-abstract/lib/SupportedLocales.js","../../node_modules/@formatjs/ecma402-abstract/lib/data.js","../../node_modules/@formatjs/ecma402-abstract/lib/types/date-time.js","../../node_modules/@formatjs/intl-segmenter/src/cldr-segmentation-rules.generated.js","../../node_modules/@formatjs/intl-segmenter/src/segmentation-utils.js","../../node_modules/@formatjs/intl-segmenter/src/segmenter.js","../../node_modules/@formatjs/intl-segmenter/polyfill-force.js"],"sourcesContent":["/**\n * http://ecma-international.org/ecma-402/7.0/index.html#sec-canonicalizelocalelist\n * @param locales\n */\nexport function CanonicalizeLocaleList(locales) {\n // TODO\n return Intl.getCanonicalLocales(locales);\n}\n","/**\n * https://tc39.es/ecma402/#sec-canonicalizetimezonename\n * @param tz\n */\nexport function CanonicalizeTimeZoneName(tz, _a) {\n var zoneNames = _a.zoneNames, uppercaseLinks = _a.uppercaseLinks;\n var uppercasedTz = tz.toUpperCase();\n var uppercasedZones = zoneNames.reduce(function (all, z) {\n all[z.toUpperCase()] = z;\n return all;\n }, {});\n var ianaTimeZone = uppercaseLinks[uppercasedTz] || uppercasedZones[uppercasedTz];\n if (ianaTimeZone === 'Etc/UTC' || ianaTimeZone === 'Etc/GMT') {\n return 'UTC';\n }\n return ianaTimeZone;\n}\n","/*!\r\n * decimal.js v10.4.3\r\n * An arbitrary-precision Decimal type for JavaScript.\r\n * https://github.com/MikeMcl/decimal.js\r\n * Copyright (c) 2022 Michael Mclaughlin <M8ch88l@gmail.com>\r\n * MIT Licence\r\n */\r\n\r\n\r\n// ----------------------------------- EDITABLE DEFAULTS ------------------------------------ //\r\n\r\n\r\n // The maximum exponent magnitude.\r\n // The limit on the value of `toExpNeg`, `toExpPos`, `minE` and `maxE`.\r\nvar EXP_LIMIT = 9e15, // 0 to 9e15\r\n\r\n // The limit on the value of `precision`, and on the value of the first argument to\r\n // `toDecimalPlaces`, `toExponential`, `toFixed`, `toPrecision` and `toSignificantDigits`.\r\n MAX_DIGITS = 1e9, // 0 to 1e9\r\n\r\n // Base conversion alphabet.\r\n NUMERALS = '0123456789abcdef',\r\n\r\n // The natural logarithm of 10 (1025 digits).\r\n LN10 = '2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058',\r\n\r\n // Pi (1025 digits).\r\n PI = '3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789',\r\n\r\n\r\n // The initial configuration properties of the Decimal constructor.\r\n DEFAULTS = {\r\n\r\n // These values must be integers within the stated ranges (inclusive).\r\n // Most of these values can be changed at run-time using the `Decimal.config` method.\r\n\r\n // The maximum number of significant digits of the result of a calculation or base conversion.\r\n // E.g. `Decimal.config({ precision: 20 });`\r\n precision: 20, // 1 to MAX_DIGITS\r\n\r\n // The rounding mode used when rounding to `precision`.\r\n //\r\n // ROUND_UP 0 Away from zero.\r\n // ROUND_DOWN 1 Towards zero.\r\n // ROUND_CEIL 2 Towards +Infinity.\r\n // ROUND_FLOOR 3 Towards -Infinity.\r\n // ROUND_HALF_UP 4 Towards nearest neighbour. If equidistant, up.\r\n // ROUND_HALF_DOWN 5 Towards nearest neighbour. If equidistant, down.\r\n // ROUND_HALF_EVEN 6 Towards nearest neighbour. If equidistant, towards even neighbour.\r\n // ROUND_HALF_CEIL 7 Towards nearest neighbour. If equidistant, towards +Infinity.\r\n // ROUND_HALF_FLOOR 8 Towards nearest neighbour. If equidistant, towards -Infinity.\r\n //\r\n // E.g.\r\n // `Decimal.rounding = 4;`\r\n // `Decimal.rounding = Decimal.ROUND_HALF_UP;`\r\n rounding: 4, // 0 to 8\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 (JavaScript %).\r\n // FLOOR 3 The remainder has the same sign as the divisor (Python %).\r\n // HALF_EVEN 6 The IEEE 754 remainder function.\r\n // EUCLID 9 Euclidian division. q = sign(n) * floor(a / abs(n)). Always positive.\r\n //\r\n // Truncated division (1), floored division (3), the IEEE 754 remainder (6), and Euclidian\r\n // division (9) are commonly used for the modulus operation. The other rounding modes can also\r\n // be used, but they may not give useful results.\r\n modulo: 1, // 0 to 9\r\n\r\n // The exponent value at and beneath which `toString` returns exponential notation.\r\n // JavaScript numbers: -7\r\n toExpNeg: -7, // 0 to -EXP_LIMIT\r\n\r\n // The exponent value at and above which `toString` returns exponential notation.\r\n // JavaScript numbers: 21\r\n toExpPos: 21, // 0 to EXP_LIMIT\r\n\r\n // The minimum exponent value, beneath which underflow to zero occurs.\r\n // JavaScript numbers: -324 (5e-324)\r\n minE: -EXP_LIMIT, // -1 to -EXP_LIMIT\r\n\r\n // The maximum exponent value, above which overflow to Infinity occurs.\r\n // JavaScript numbers: 308 (1.7976931348623157e+308)\r\n maxE: EXP_LIMIT, // 1 to EXP_LIMIT\r\n\r\n // Whether to use cryptographically-secure random number generation, if available.\r\n crypto: false // true/false\r\n },\r\n\r\n\r\n// ----------------------------------- END OF EDITABLE DEFAULTS ------------------------------- //\r\n\r\n\r\n inexact, quadrant,\r\n external = true,\r\n\r\n decimalError = '[DecimalError] ',\r\n invalidArgument = decimalError + 'Invalid argument: ',\r\n precisionLimitExceeded = decimalError + 'Precision limit exceeded',\r\n cryptoUnavailable = decimalError + 'crypto unavailable',\r\n tag = '[object Decimal]',\r\n\r\n mathfloor = Math.floor,\r\n mathpow = Math.pow,\r\n\r\n isBinary = /^0b([01]+(\\.[01]*)?|\\.[01]+)(p[+-]?\\d+)?$/i,\r\n isHex = /^0x([0-9a-f]+(\\.[0-9a-f]*)?|\\.[0-9a-f]+)(p[+-]?\\d+)?$/i,\r\n isOctal = /^0o([0-7]+(\\.[0-7]*)?|\\.[0-7]+)(p[+-]?\\d+)?$/i,\r\n isDecimal = /^(\\d+(\\.\\d*)?|\\.\\d+)(e[+-]?\\d+)?$/i,\r\n\r\n BASE = 1e7,\r\n LOG_BASE = 7,\r\n MAX_SAFE_INTEGER = 9007199254740991,\r\n\r\n LN10_PRECISION = LN10.length - 1,\r\n PI_PRECISION = PI.length - 1,\r\n\r\n // Decimal.prototype object\r\n P = { toStringTag: tag };\r\n\r\n\r\n// Decimal prototype methods\r\n\r\n\r\n/*\r\n * absoluteValue abs\r\n * ceil\r\n * clampedTo clamp\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 */\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the absolute value of this Decimal.\r\n *\r\n */\r\nP.absoluteValue = P.abs = function () {\r\n var x = new this.constructor(this);\r\n if (x.s < 0) x.s = 1;\r\n return finalise(x);\r\n};\r\n\r\n\r\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 */\r\nP.ceil = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 2);\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal clamped to the range\r\n * delineated by `min` and `max`.\r\n *\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nP.clampedTo = P.clamp = function (min, max) {\r\n var k,\r\n x = this,\r\n Ctor = x.constructor;\r\n min = new Ctor(min);\r\n max = new Ctor(max);\r\n if (!min.s || !max.s) return new Ctor(NaN);\r\n if (min.gt(max)) throw Error(invalidArgument + max);\r\n k = x.cmp(min);\r\n return k < 0 ? min : x.cmp(max) > 0 ? max : new Ctor(x);\r\n};\r\n\r\n\r\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 */\r\nP.comparedTo = P.cmp = function (y) {\r\n var i, j, xdL, ydL,\r\n x = this,\r\n xd = x.d,\r\n yd = (y = new x.constructor(y)).d,\r\n xs = x.s,\r\n ys = y.s;\r\n\r\n // Either NaN or ±Infinity?\r\n if (!xd || !yd) {\r\n return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1;\r\n }\r\n\r\n // Either zero?\r\n if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0;\r\n\r\n // Signs differ?\r\n if (xs !== ys) return xs;\r\n\r\n // Compare exponents.\r\n if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1;\r\n\r\n xdL = xd.length;\r\n ydL = yd.length;\r\n\r\n // Compare digit by digit.\r\n for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) {\r\n if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1;\r\n }\r\n\r\n // Compare lengths.\r\n return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1;\r\n};\r\n\r\n\r\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 */\r\nP.cosine = P.cos = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.d) return new Ctor(NaN);\r\n\r\n // cos(0) = cos(-0) = 1\r\n if (!x.d[0]) return new Ctor(1);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n Ctor.rounding = 1;\r\n\r\n x = cosine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.cubeRoot = P.cbrt = function () {\r\n var e, m, n, r, rep, s, sd, t, t3, t3plusx,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n external = false;\r\n\r\n // Initial estimate.\r\n s = x.s * mathpow(x.s * x, 1 / 3);\r\n\r\n // Math.cbrt underflow/overflow?\r\n // Pass x to Math.pow as integer, then adjust the exponent of the result.\r\n if (!s || Math.abs(s) == 1 / 0) {\r\n n = digitsToString(x.d);\r\n e = x.e;\r\n\r\n // Adjust n exponent so it is a multiple of 3 away from x exponent.\r\n if (s = (e - n.length + 1) % 3) n += (s == 1 || s == -2 ? '0' : '00');\r\n s = mathpow(n, 1 / 3);\r\n\r\n // Rarely, e may be one less than the result exponent value.\r\n e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2));\r\n\r\n if (s == 1 / 0) {\r\n n = '5e' + e;\r\n } else {\r\n n = s.toExponential();\r\n n = n.slice(0, n.indexOf('e') + 1) + e;\r\n }\r\n\r\n r = new Ctor(n);\r\n r.s = x.s;\r\n } else {\r\n r = new Ctor(s.toString());\r\n }\r\n\r\n sd = (e = Ctor.precision) + 3;\r\n\r\n // Halley's method.\r\n // TODO? Compare Newton's method.\r\n for (;;) {\r\n t = r;\r\n t3 = t.times(t).times(t);\r\n t3plusx = t3.plus(x);\r\n r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1);\r\n\r\n // TODO? Replace with for-loop and checkRoundingDigits.\r\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n n = n.slice(sd - 3, sd + 1);\r\n\r\n // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or 4999\r\n // , i.e. approaching a rounding boundary, continue the iteration.\r\n if (n == '9999' || !rep && n == '4999') {\r\n\r\n // On the first iteration only, check to see if rounding up gives the exact result as the\r\n // nines may infinitely repeat.\r\n if (!rep) {\r\n finalise(t, e + 1, 0);\r\n\r\n if (t.times(t).times(t).eq(x)) {\r\n r = t;\r\n break;\r\n }\r\n }\r\n\r\n sd += 4;\r\n rep = 1;\r\n } else {\r\n\r\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n // If not, then there are further digits and m will be truthy.\r\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n // Truncate to the first rounding digit.\r\n finalise(r, e + 1, 1);\r\n m = !r.times(r).times(r).eq(x);\r\n }\r\n\r\n break;\r\n }\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\n/*\r\n * Return the number of decimal places of the value of this Decimal.\r\n *\r\n */\r\nP.decimalPlaces = P.dp = function () {\r\n var w,\r\n d = this.d,\r\n n = NaN;\r\n\r\n if (d) {\r\n w = d.length - 1;\r\n n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE;\r\n\r\n // Subtract the number of trailing zeros of the last word.\r\n w = d[w];\r\n if (w) for (; w % 10 == 0; w /= 10) n--;\r\n if (n < 0) n = 0;\r\n }\r\n\r\n return n;\r\n};\r\n\r\n\r\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 */\r\nP.dividedBy = P.div = function (y) {\r\n return divide(this, new this.constructor(y));\r\n};\r\n\r\n\r\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 */\r\nP.dividedToIntegerBy = P.divToInt = function (y) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding);\r\n};\r\n\r\n\r\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 */\r\nP.equals = P.eq = function (y) {\r\n return this.cmp(y) === 0;\r\n};\r\n\r\n\r\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 */\r\nP.floor = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 3);\r\n};\r\n\r\n\r\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 */\r\nP.greaterThan = P.gt = function (y) {\r\n return this.cmp(y) > 0;\r\n};\r\n\r\n\r\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 */\r\nP.greaterThanOrEqualTo = P.gte = function (y) {\r\n var k = this.cmp(y);\r\n return k == 1 || k === 0;\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicCosine = P.cosh = function () {\r\n var k, n, pr, rm, len,\r\n x = this,\r\n Ctor = x.constructor,\r\n one = new Ctor(1);\r\n\r\n if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN);\r\n if (x.isZero()) return one;\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n len = x.d.length;\r\n\r\n // Argument reduction: cos(4x) = 1 - 8cos^2(x) + 8cos^4(x) + 1\r\n // i.e. cos(x) = 1 - cos^2(x/4)(8 - 8cos^2(x/4))\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n // TODO? Estimation reused from cosine() and may not be optimal here.\r\n if (len < 32) {\r\n k = Math.ceil(len / 3);\r\n n = (1 / tinyPow(4, k)).toString();\r\n } else {\r\n k = 16;\r\n n = '2.3283064365386962890625e-10';\r\n }\r\n\r\n x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true);\r\n\r\n // Reverse argument reduction\r\n var cosh2_x,\r\n i = k,\r\n d8 = new Ctor(8);\r\n for (; i--;) {\r\n cosh2_x = x.times(x);\r\n x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8))));\r\n }\r\n\r\n return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicSine = P.sinh = function () {\r\n var k, pr, rm, len,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n len = x.d.length;\r\n\r\n if (len < 3) {\r\n x = taylorSeries(Ctor, 2, x, x, true);\r\n } else {\r\n\r\n // Alternative argument reduction: sinh(3x) = sinh(x)(3 + 4sinh^2(x))\r\n // i.e. sinh(x) = sinh(x/3)(3 + 4sinh^2(x/3))\r\n // 3 multiplications and 1 addition\r\n\r\n // Argument reduction: sinh(5x) = sinh(x)(5 + sinh^2(x)(20 + 16sinh^2(x)))\r\n // i.e. sinh(x) = sinh(x/5)(5 + sinh^2(x/5)(20 + 16sinh^2(x/5)))\r\n // 4 multiplications and 2 additions\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n k = 1.4 * Math.sqrt(len);\r\n k = k > 16 ? 16 : k | 0;\r\n\r\n x = x.times(1 / tinyPow(5, k));\r\n x = taylorSeries(Ctor, 2, x, x, true);\r\n\r\n // Reverse argument reduction\r\n var sinh2_x,\r\n d5 = new Ctor(5),\r\n d16 = new Ctor(16),\r\n d20 = new Ctor(20);\r\n for (; k--;) {\r\n sinh2_x = x.times(x);\r\n x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20))));\r\n }\r\n }\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.hyperbolicTangent = P.tanh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(x.s);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 7;\r\n Ctor.rounding = 1;\r\n\r\n return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm);\r\n};\r\n\r\n\r\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 */\r\nP.inverseCosine = P.acos = function () {\r\n var halfPi,\r\n x = this,\r\n Ctor = x.constructor,\r\n k = x.abs().cmp(1),\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding;\r\n\r\n if (k !== -1) {\r\n return k === 0\r\n // |x| is 1\r\n ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0)\r\n // |x| > 1 or x is NaN\r\n : new Ctor(NaN);\r\n }\r\n\r\n if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n // TODO? Special case acos(0.5) = pi/3 and acos(-0.5) = 2*pi/3\r\n\r\n Ctor.precision = pr + 6;\r\n Ctor.rounding = 1;\r\n\r\n x = x.asin();\r\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return halfPi.minus(x);\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicCosine = P.acosh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN);\r\n if (!x.isFinite()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4;\r\n Ctor.rounding = 1;\r\n external = false;\r\n\r\n x = x.times(x).minus(1).sqrt().plus(x);\r\n\r\n external = true;\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.ln();\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicSine = P.asinh = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite() || x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6;\r\n Ctor.rounding = 1;\r\n external = false;\r\n\r\n x = x.times(x).plus(1).sqrt().plus(x);\r\n\r\n external = true;\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.ln();\r\n};\r\n\r\n\r\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 */\r\nP.inverseHyperbolicTangent = P.atanh = function () {\r\n var pr, rm, wpr, xsd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n xsd = x.sd();\r\n\r\n if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true);\r\n\r\n Ctor.precision = wpr = xsd - x.e;\r\n\r\n x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1);\r\n\r\n Ctor.precision = pr + 4;\r\n Ctor.rounding = 1;\r\n\r\n x = x.ln();\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.times(0.5);\r\n};\r\n\r\n\r\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 */\r\nP.inverseSine = P.asin = function () {\r\n var halfPi, k,\r\n pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n k = x.abs().cmp(1);\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n if (k !== -1) {\r\n\r\n // |x| is 1\r\n if (k === 0) {\r\n halfPi = getPi(Ctor, pr + 4, rm).times(0.5);\r\n halfPi.s = x.s;\r\n return halfPi;\r\n }\r\n\r\n // |x| > 1 or x is NaN\r\n return new Ctor(NaN);\r\n }\r\n\r\n // TODO? Special case asin(1/2) = pi/6 and asin(-1/2) = -pi/6\r\n\r\n Ctor.precision = pr + 6;\r\n Ctor.rounding = 1;\r\n\r\n x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan();\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return x.times(2);\r\n};\r\n\r\n\r\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 */\r\nP.inverseTangent = P.atan = function () {\r\n var i, j, k, n, px, t, r, wpr, x2,\r\n x = this,\r\n Ctor = x.constructor,\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding;\r\n\r\n if (!x.isFinite()) {\r\n if (!x.s) return new Ctor(NaN);\r\n if (pr + 4 <= PI_PRECISION) {\r\n r = getPi(Ctor, pr + 4, rm).times(0.5);\r\n r.s = x.s;\r\n return r;\r\n }\r\n } else if (x.isZero()) {\r\n return new Ctor(x);\r\n } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) {\r\n r = getPi(Ctor, pr + 4, rm).times(0.25);\r\n r.s = x.s;\r\n return r;\r\n }\r\n\r\n Ctor.precision = wpr = pr + 10;\r\n Ctor.rounding = 1;\r\n\r\n // TODO? if (x >= 1 && pr <= PI_PRECISION) atan(x) = halfPi * x.s - atan(1 / x);\r\n\r\n // Argument reduction\r\n // Ensure |x| < 0.42\r\n // atan(x) = 2 * atan(x / (1 + sqrt(1 + x^2)))\r\n\r\n k = Math.min(28, wpr / LOG_BASE + 2 | 0);\r\n\r\n for (i = k; i; --i) x = x.div(x.times(x).plus(1).sqrt().plus(1));\r\n\r\n external = false;\r\n\r\n j = Math.ceil(wpr / LOG_BASE);\r\n n = 1;\r\n x2 = x.times(x);\r\n r = new Ctor(x);\r\n px = x;\r\n\r\n // atan(x) = x - x^3/3 + x^5/5 - x^7/7 + ...\r\n for (; i !== -1;) {\r\n px = px.times(x2);\r\n t = r.minus(px.div(n += 2));\r\n\r\n px = px.times(x2);\r\n r = t.plus(px.div(n += 2));\r\n\r\n if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--;);\r\n }\r\n\r\n if (k) r = r.times(2 << (k - 1));\r\n\r\n external = true;\r\n\r\n return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true);\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is a finite number, otherwise return false.\r\n *\r\n */\r\nP.isFinite = function () {\r\n return !!this.d;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is an integer, otherwise return false.\r\n *\r\n */\r\nP.isInteger = P.isInt = function () {\r\n return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is NaN, otherwise return false.\r\n *\r\n */\r\nP.isNaN = function () {\r\n return !this.s;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is negative, otherwise return false.\r\n *\r\n */\r\nP.isNegative = P.isNeg = function () {\r\n return this.s < 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is positive, otherwise return false.\r\n *\r\n */\r\nP.isPositive = P.isPos = function () {\r\n return this.s > 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is 0 or -0, otherwise return false.\r\n *\r\n */\r\nP.isZero = function () {\r\n return !!this.d && this.d[0] === 0;\r\n};\r\n\r\n\r\n/*\r\n * Return true if the value of this Decimal is less than `y`, otherwise return false.\r\n *\r\n */\r\nP.lessThan = P.lt = function (y) {\r\n return this.cmp(y) < 0;\r\n};\r\n\r\n\r\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 */\r\nP.lessThanOrEqualTo = P.lte = function (y) {\r\n return this.cmp(y) < 1;\r\n};\r\n\r\n\r\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 */\r\nP.logarithm = P.log = function (base) {\r\n var isBase10, d, denominator, k, inf, num, sd, r,\r\n arg = this,\r\n Ctor = arg.constructor,\r\n pr = Ctor.precision,\r\n rm = Ctor.rounding,\r\n guard = 5;\r\n\r\n // Default base is 10.\r\n if (base == null) {\r\n base = new Ctor(10);\r\n isBase10 = true;\r\n } else {\r\n base = new Ctor(base);\r\n d = base.d;\r\n\r\n // Return NaN if base is negative, or non-finite, or is 0 or 1.\r\n if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN);\r\n\r\n isBase10 = base.eq(10);\r\n }\r\n\r\n d = arg.d;\r\n\r\n // Is arg negative, non-finite, 0 or 1?\r\n if (arg.s < 0 || !d || !d[0] || arg.eq(1)) {\r\n return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0);\r\n }\r\n\r\n // The result will have a non-terminating decimal expansion if base is 10 and arg is not an\r\n // integer power of 10.\r\n if (isBase10) {\r\n if (d.length > 1) {\r\n inf = true;\r\n } else {\r\n for (k = d[0]; k % 10 === 0;) k /= 10;\r\n inf = k !== 1;\r\n }\r\n }\r\n\r\n external = false;\r\n sd = pr + guard;\r\n num = naturalLogarithm(arg, sd);\r\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n\r\n // The result will have 5 rounding digits.\r\n r = divide(num, denominator, sd, 1);\r\n\r\n // If at a rounding boundary, i.e. the result's rounding digits are [49]9999 or [50]0000,\r\n // calculate 10 further digits.\r\n //\r\n // If the result is known to have an infinite decimal expansion, repeat this until it is clear\r\n // that the result is above or below the boundary. Otherwise, if after calculating the 10\r\n // further digits, the last 14 are nines, round up and assume the result is exact.\r\n // Also assume the result is exact if the last 14 are zero.\r\n //\r\n // Example of a result that will be incorrectly rounded:\r\n // log[1048576](4503599627370502) = 2.60000000000000009610279511444746...\r\n // The above result correctly rounded using ROUND_CEIL to 1 decimal place should be 2.7, but it\r\n // will be given as 2.6 as there are 15 zeros immediately after the requested decimal place, so\r\n // the exact result would be assumed to be 2.6, which rounded using ROUND_CEIL to 1 decimal\r\n // place is still 2.6.\r\n if (checkRoundingDigits(r.d, k = pr, rm)) {\r\n\r\n do {\r\n sd += 10;\r\n num = naturalLogarithm(arg, sd);\r\n denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd);\r\n r = divide(num, denominator, sd, 1);\r\n\r\n if (!inf) {\r\n\r\n // Check for 14 nines from the 2nd rounding digit, as the first may be 4.\r\n if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) {\r\n r = finalise(r, pr + 1, 0);\r\n }\r\n\r\n break;\r\n }\r\n } while (checkRoundingDigits(r.d, k += 10, rm));\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, pr, rm);\r\n};\r\n\r\n\r\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\nP.max = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'lt');\r\n};\r\n */\r\n\r\n\r\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\nP.min = function () {\r\n Array.prototype.push.call(arguments, this);\r\n return maxOrMin(this.constructor, arguments, 'gt');\r\n};\r\n */\r\n\r\n\r\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 */\r\nP.minus = P.sub = function (y) {\r\n var d, e, i, j, k, len, pr, rm, xd, xe, xLTy, yd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // If either is not finite...\r\n if (!x.d || !y.d) {\r\n\r\n // Return NaN if either is NaN.\r\n if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n // Return y negated if x is finite and y is ±Infinity.\r\n else if (x.d) y.s = -y.s;\r\n\r\n // Return x if y is finite and x is ±Infinity.\r\n // Return x if both are ±Infinity with different signs.\r\n // Return NaN if both are ±Infinity with the same sign.\r\n else y = new Ctor(y.d || x.s !== y.s ? x : NaN);\r\n\r\n return y;\r\n }\r\n\r\n // If signs differ...\r\n if (x.s != y.s) {\r\n y.s = -y.s;\r\n return x.plus(y);\r\n }\r\n\r\n xd = x.d;\r\n yd = y.d;\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n // If either is zero...\r\n if (!xd[0] || !yd[0]) {\r\n\r\n // Return y negated if x is zero and y is non-zero.\r\n if (yd[0]) y.s = -y.s;\r\n\r\n // Return x if y is zero and x is non-zero.\r\n else if (xd[0]) y = new Ctor(x);\r\n\r\n // Return zero if both are zero.\r\n // From IEEE 754 (2008) 6.3: 0 - 0 = -0 - -0 = -0 when rounding to -Infinity.\r\n else return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n }\r\n\r\n // x and y are finite, non-zero numbers with the same sign.\r\n\r\n // Calculate base 1e7 exponents.\r\n e = mathfloor(y.e / LOG_BASE);\r\n xe = mathfloor(x.e / LOG_BASE);\r\n\r\n xd = xd.slice();\r\n k = xe - e;\r\n\r\n // If base 1e7 exponents differ...\r\n if (k) {\r\n xLTy = k < 0;\r\n\r\n if (xLTy) {\r\n d = xd;\r\n k = -k;\r\n len = yd.length;\r\n } else {\r\n d = yd;\r\n e = xe;\r\n len = xd.length;\r\n }\r\n\r\n // Numbers with massively different exponents would result in a very high number of\r\n // zeros needing to be prepended, but this can be avoided while still ensuring correct\r\n // rounding by limiting the number of zeros to `Math.ceil(pr / LOG_BASE) + 2`.\r\n i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2;\r\n\r\n if (k > i) {\r\n k = i;\r\n d.length = 1;\r\n }\r\n\r\n // Prepend zeros to equalise exponents.\r\n d.reverse();\r\n for (i = k; i--;) d.push(0);\r\n d.reverse();\r\n\r\n // Base 1e7 exponents equal.\r\n } else {\r\n\r\n // Check digits to determine which is the bigger number.\r\n\r\n i = xd.length;\r\n len = yd.length;\r\n xLTy = i < len;\r\n if (xLTy) len = i;\r\n\r\n for (i = 0; i < len; i++) {\r\n if (xd[i] != yd[i]) {\r\n xLTy = xd[i] < yd[i];\r\n break;\r\n }\r\n }\r\n\r\n k = 0;\r\n }\r\n\r\n if (xLTy) {\r\n d = xd;\r\n xd = yd;\r\n yd = d;\r\n y.s = -y.s;\r\n }\r\n\r\n len = xd.length;\r\n\r\n // Append zeros to `xd` if shorter.\r\n // Don't add zeros to `yd` if shorter as subtraction only needs to start at `yd` length.\r\n for (i = yd.length - len; i > 0; --i) xd[len++] = 0;\r\n\r\n // Subtract yd from xd.\r\n for (i = yd.length; i > k;) {\r\n\r\n if (xd[--i] < yd[i]) {\r\n for (j = i; j && xd[--j] === 0;) xd[j] = BASE - 1;\r\n --xd[j];\r\n xd[i] += BASE;\r\n }\r\n\r\n xd[i] -= yd[i];\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (; xd[--len] === 0;) xd.pop();\r\n\r\n // Remove leading zeros and adjust exponent accordingly.\r\n for (; xd[0] === 0; xd.shift()) --e;\r\n\r\n // Zero?\r\n if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0);\r\n\r\n y.d = xd;\r\n y.e = getBase10Exponent(xd, e);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\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 */\r\nP.modulo = P.mod = function (y) {\r\n var q,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // Return NaN if x is ±Infinity or NaN, or y is NaN or ±0.\r\n if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN);\r\n\r\n // Return x if y is ±Infinity or x is ±0.\r\n if (!y.d || x.d && !x.d[0]) {\r\n return finalise(new Ctor(x), Ctor.precision, Ctor.rounding);\r\n }\r\n\r\n // Prevent rounding of intermediate calculations.\r\n external = false;\r\n\r\n if (Ctor.modulo == 9) {\r\n\r\n // Euclidian division: q = sign(y) * floor(x / abs(y))\r\n // result = x - q * y where 0 <= result < abs(y)\r\n q = divide(x, y.abs(), 0, 3, 1);\r\n q.s *= y.s;\r\n } else {\r\n q = divide(x, y, 0, Ctor.modulo, 1);\r\n }\r\n\r\n q = q.times(y);\r\n\r\n external = true;\r\n\r\n return x.minus(q);\r\n};\r\n\r\n\r\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 */\r\nP.naturalExponential = P.exp = function () {\r\n return naturalExponential(this);\r\n};\r\n\r\n\r\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 */\r\nP.naturalLogarithm = P.ln = function () {\r\n return naturalLogarithm(this);\r\n};\r\n\r\n\r\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 */\r\nP.negated = P.neg = function () {\r\n var x = new this.constructor(this);\r\n x.s = -x.s;\r\n return finalise(x);\r\n};\r\n\r\n\r\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 */\r\nP.plus = P.add = function (y) {\r\n var carry, d, e, i, k, len, pr, rm, xd, yd,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n y = new Ctor(y);\r\n\r\n // If either is not finite...\r\n if (!x.d || !y.d) {\r\n\r\n // Return NaN if either is NaN.\r\n if (!x.s || !y.s) y = new Ctor(NaN);\r\n\r\n // Return x if y is finite and x is ±Infinity.\r\n // Return x if both are ±Infinity with the same sign.\r\n // Return NaN if both are ±Infinity with different signs.\r\n // Return y if x is finite and y is ±Infinity.\r\n else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN);\r\n\r\n return y;\r\n }\r\n\r\n // If signs differ...\r\n if (x.s != y.s) {\r\n y.s = -y.s;\r\n return x.minus(y);\r\n }\r\n\r\n xd = x.d;\r\n yd = y.d;\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n // If either is zero...\r\n if (!xd[0] || !yd[0]) {\r\n\r\n // Return x if y is zero.\r\n // Return y if y is non-zero.\r\n if (!yd[0]) y = new Ctor(x);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n }\r\n\r\n // x and y are finite, non-zero numbers with the same sign.\r\n\r\n // Calculate base 1e7 exponents.\r\n k = mathfloor(x.e / LOG_BASE);\r\n e = mathfloor(y.e / LOG_BASE);\r\n\r\n xd = xd.slice();\r\n i = k - e;\r\n\r\n // If base 1e7 exponents differ...\r\n if (i) {\r\n\r\n if (i < 0) {\r\n d = xd;\r\n i = -i;\r\n len = yd.length;\r\n } else {\r\n d = yd;\r\n e = k;\r\n len = xd.length;\r\n }\r\n\r\n // Limit number of zeros prepended to max(ceil(pr / LOG_BASE), len) + 1.\r\n k = Math.ceil(pr / LOG_BASE);\r\n len = k > len ? k + 1 : len + 1;\r\n\r\n if (i > len) {\r\n i = len;\r\n d.length = 1;\r\n }\r\n\r\n // Prepend zeros to equalise exponents. Note: Faster to use reverse then do unshifts.\r\n d.reverse();\r\n for (; i--;) d.push(0);\r\n d.reverse();\r\n }\r\n\r\n len = xd.length;\r\n i = yd.length;\r\n\r\n // If yd is longer than xd, swap xd and yd so xd points to the longer array.\r\n if (len - i < 0) {\r\n i = len;\r\n d = yd;\r\n yd = xd;\r\n xd = d;\r\n }\r\n\r\n // Only start adding at yd.length - 1 as the further digits of xd can be left as they are.\r\n for (carry = 0; i;) {\r\n carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0;\r\n xd[i] %= BASE;\r\n }\r\n\r\n if (carry) {\r\n xd.unshift(carry);\r\n ++e;\r\n }\r\n\r\n // Remove trailing zeros.\r\n // No need to check for zero, as +x + +y != 0 && -x + -y != 0\r\n for (len = xd.length; xd[--len] == 0;) xd.pop();\r\n\r\n y.d = xd;\r\n y.e = getBase10Exponent(xd, e);\r\n\r\n return external ? finalise(y, pr, rm) : y;\r\n};\r\n\r\n\r\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 */\r\nP.precision = P.sd = function (z) {\r\n var k,\r\n x = this;\r\n\r\n if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z);\r\n\r\n if (x.d) {\r\n k = getPrecision(x.d);\r\n if (z && x.e + 1 > k) k = x.e + 1;\r\n } else {\r\n k = NaN;\r\n }\r\n\r\n return k;\r\n};\r\n\r\n\r\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 */\r\nP.round = function () {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n return finalise(new Ctor(x), x.e + 1, Ctor.rounding);\r\n};\r\n\r\n\r\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 */\r\nP.sine = P.sin = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE;\r\n Ctor.rounding = 1;\r\n\r\n x = sine(Ctor, toLessThanHalfPi(Ctor, x));\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.squareRoot = P.sqrt = function () {\r\n var m, n, sd, r, rep, t,\r\n x = this,\r\n d = x.d,\r\n e = x.e,\r\n s = x.s,\r\n Ctor = x.constructor;\r\n\r\n // Negative/NaN/Infinity/zero?\r\n if (s !== 1 || !d || !d[0]) {\r\n return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0);\r\n }\r\n\r\n external = false;\r\n\r\n // Initial estimate.\r\n s = Math.sqrt(+x);\r\n\r\n // Math.sqrt underflow/overflow?\r\n // Pass x to Math.sqrt as integer, then adjust the exponent of the result.\r\n if (s == 0 || s == 1 / 0) {\r\n n = digitsToString(d);\r\n\r\n if ((n.length + e) % 2 == 0) n += '0';\r\n s = Math.sqrt(n);\r\n e = mathfloor((e + 1) / 2) - (e < 0 || e % 2);\r\n\r\n if (s == 1 / 0) {\r\n n = '5e' + e;\r\n } else {\r\n n = s.toExponential();\r\n n = n.slice(0, n.indexOf('e') + 1) + e;\r\n }\r\n\r\n r = new Ctor(n);\r\n } else {\r\n r = new Ctor(s.toString());\r\n }\r\n\r\n sd = (e = Ctor.precision) + 3;\r\n\r\n // Newton-Raphson iteration.\r\n for (;;) {\r\n t = r;\r\n r = t.plus(divide(x, t, sd + 2, 1)).times(0.5);\r\n\r\n // TODO? Replace with for-loop and checkRoundingDigits.\r\n if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) {\r\n n = n.slice(sd - 3, sd + 1);\r\n\r\n // The 4th rounding digit may be in error by -1 so if the 4 rounding digits are 9999 or\r\n // 4999, i.e. approaching a rounding boundary, continue the iteration.\r\n if (n == '9999' || !rep && n == '4999') {\r\n\r\n // On the first iteration only, check to see if rounding up gives the exact result as the\r\n // nines may infinitely repeat.\r\n if (!rep) {\r\n finalise(t, e + 1, 0);\r\n\r\n if (t.times(t).eq(x)) {\r\n r = t;\r\n break;\r\n }\r\n }\r\n\r\n sd += 4;\r\n rep = 1;\r\n } else {\r\n\r\n // If the rounding digits are null, 0{0,4} or 50{0,3}, check for an exact result.\r\n // If not, then there are further digits and m will be truthy.\r\n if (!+n || !+n.slice(1) && n.charAt(0) == '5') {\r\n\r\n // Truncate to the first rounding digit.\r\n finalise(r, e + 1, 1);\r\n m = !r.times(r).eq(x);\r\n }\r\n\r\n break;\r\n }\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return finalise(r, e, Ctor.rounding, m);\r\n};\r\n\r\n\r\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 */\r\nP.tangent = P.tan = function () {\r\n var pr, rm,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (!x.isFinite()) return new Ctor(NaN);\r\n if (x.isZero()) return new Ctor(x);\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n Ctor.precision = pr + 10;\r\n Ctor.rounding = 1;\r\n\r\n x = x.sin();\r\n x.s = 1;\r\n x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0);\r\n\r\n Ctor.precision = pr;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true);\r\n};\r\n\r\n\r\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 */\r\nP.times = P.mul = function (y) {\r\n var carry, e, i, k, r, rL, t, xdL, ydL,\r\n x = this,\r\n Ctor = x.constructor,\r\n xd = x.d,\r\n yd = (y = new Ctor(y)).d;\r\n\r\n y.s *= x.s;\r\n\r\n // If either is NaN, ±Infinity or ±0...\r\n if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd\r\n\r\n // Return NaN if either is NaN.\r\n // Return NaN if x is ±0 and y is ±Infinity, or y is ±0 and x is ±Infinity.\r\n ? NaN\r\n\r\n // Return ±Infinity if either is ±Infinity.\r\n // Return ±0 if either is ±0.\r\n : !xd || !yd ? y.s / 0 : y.s * 0);\r\n }\r\n\r\n e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE);\r\n xdL = xd.length;\r\n ydL = yd.length;\r\n\r\n // Ensure xd points to the longer array.\r\n if (xdL < ydL) {\r\n r = xd;\r\n xd = yd;\r\n yd = r;\r\n rL = xdL;\r\n xdL = ydL;\r\n ydL = rL;\r\n }\r\n\r\n // Initialise the result array with zeros.\r\n r = [];\r\n rL = xdL + ydL;\r\n for (i = rL; i--;) r.push(0);\r\n\r\n // Multiply!\r\n for (i = ydL; --i >= 0;) {\r\n carry = 0;\r\n for (k = xdL + i; k > i;) {\r\n t = r[k] + yd[i] * xd[k - i - 1] + carry;\r\n r[k--] = t % BASE | 0;\r\n carry = t / BASE | 0;\r\n }\r\n\r\n r[k] = (r[k] + carry) % BASE | 0;\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (; !r[--rL];) r.pop();\r\n\r\n if (carry) ++e;\r\n else r.shift();\r\n\r\n y.d = r;\r\n y.e = getBase10Exponent(r, e);\r\n\r\n return external ? finalise(y, Ctor.precision, Ctor.rounding) : y;\r\n};\r\n\r\n\r\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 */\r\nP.toBinary = function (sd, rm) {\r\n return toStringBinary(this, 2, sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toDecimalPlaces = P.toDP = function (dp, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n x = new Ctor(x);\r\n if (dp === void 0) return x;\r\n\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n return finalise(x, dp + x.e + 1, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toExponential = function (dp, rm) {\r\n var str,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (dp === void 0) {\r\n str = finiteToString(x, true);\r\n } else {\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n x = finalise(new Ctor(x), dp + 1, rm);\r\n str = finiteToString(x, true, dp + 1);\r\n }\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toFixed = function (dp, rm) {\r\n var str, y,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (dp === void 0) {\r\n str = finiteToString(x);\r\n } else {\r\n checkInt32(dp, 0, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n y = finalise(new Ctor(x), dp + x.e + 1, rm);\r\n str = finiteToString(y, false, dp + y.e + 1);\r\n }\r\n\r\n // To determine whether to add the minus sign look at the value before it was rounded,\r\n // i.e. look at `x` rather than `y`.\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toFraction = function (maxD) {\r\n var d, d0, d1, d2, e, k, n, n0, n1, pr, q, r,\r\n x = this,\r\n xd = x.d,\r\n Ctor = x.constructor;\r\n\r\n if (!xd) return new Ctor(x);\r\n\r\n n1 = d0 = new Ctor(1);\r\n d1 = n0 = new Ctor(0);\r\n\r\n d = new Ctor(d1);\r\n e = d.e = getPrecision(xd) - x.e - 1;\r\n k = e % LOG_BASE;\r\n d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k);\r\n\r\n if (maxD == null) {\r\n\r\n // d is 10**e, the minimum max-denominator needed.\r\n maxD = e > 0 ? d : n1;\r\n } else {\r\n n = new Ctor(maxD);\r\n if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n);\r\n maxD = n.gt(d) ? (e > 0 ? d : n1) : n;\r\n }\r\n\r\n external = false;\r\n n = new Ctor(digitsToString(xd));\r\n pr = Ctor.precision;\r\n Ctor.precision = e = xd.length * LOG_BASE * 2;\r\n\r\n for (;;) {\r\n q = divide(n, d, 0, 1, 1);\r\n d2 = d0.plus(q.times(d1));\r\n if (d2.cmp(maxD) == 1) break;\r\n d0 = d1;\r\n d1 = d2;\r\n d2 = n1;\r\n n1 = n0.plus(q.times(d2));\r\n n0 = d2;\r\n d2 = d;\r\n d = n.minus(q.times(d2));\r\n n = d2;\r\n }\r\n\r\n d2 = divide(maxD.minus(d0), d1, 0, 1, 1);\r\n n0 = n0.plus(d2.times(n1));\r\n d0 = d0.plus(d2.times(d1));\r\n n0.s = n1.s = x.s;\r\n\r\n // Determine which fraction is closer to x, n0/d0 or n1/d1?\r\n r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1\r\n ? [n1, d1] : [n0, d0];\r\n\r\n Ctor.precision = pr;\r\n external = true;\r\n\r\n return r;\r\n};\r\n\r\n\r\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 */\r\nP.toHexadecimal = P.toHex = function (sd, rm) {\r\n return toStringBinary(this, 16, sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toNearest = function (y, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n x = new Ctor(x);\r\n\r\n if (y == null) {\r\n\r\n // If x is not finite, return x.\r\n if (!x.d) return x;\r\n\r\n y = new Ctor(1);\r\n rm = Ctor.rounding;\r\n } else {\r\n y = new Ctor(y);\r\n if (rm === void 0) {\r\n rm = Ctor.rounding;\r\n } else {\r\n checkInt32(rm, 0, 8);\r\n }\r\n\r\n // If x is not finite, return x if y is not NaN, else NaN.\r\n if (!x.d) return y.s ? x : y;\r\n\r\n // If y is not finite, return Infinity with the sign of x if y is Infinity, else NaN.\r\n if (!y.d) {\r\n if (y.s) y.s = x.s;\r\n return y;\r\n }\r\n }\r\n\r\n // If y is not zero, calculate the nearest multiple of y to x.\r\n if (y.d[0]) {\r\n external = false;\r\n x = divide(x, y, 0, rm, 1).times(y);\r\n external = true;\r\n finalise(x);\r\n\r\n // If y is zero, return zero with the sign of x.\r\n } else {\r\n y.s = x.s;\r\n x = y;\r\n }\r\n\r\n return x;\r\n};\r\n\r\n\r\n/*\r\n * Return the value of this Decimal converted to a number primitive.\r\n * Zero keeps its sign.\r\n *\r\n */\r\nP.toNumber = function () {\r\n return +this;\r\n};\r\n\r\n\r\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 */\r\nP.toOctal = function (sd, rm) {\r\n return toStringBinary(this, 8, sd, rm);\r\n};\r\n\r\n\r\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\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 */\r\nP.toPower = P.pow = function (y) {\r\n var e, k, pr, r, rm, s,\r\n x = this,\r\n Ctor = x.constructor,\r\n yn = +(y = new Ctor(y));\r\n\r\n // Either ±Infinity, NaN or ±0?\r\n if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn));\r\n\r\n x = new Ctor(x);\r\n\r\n if (x.eq(1)) return x;\r\n\r\n pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n\r\n if (y.eq(1)) return finalise(x, pr, rm);\r\n\r\n // y exponent\r\n e = mathfloor(y.e / LOG_BASE);\r\n\r\n // If y is a small integer use the 'exponentiation by squaring' algorithm.\r\n if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) {\r\n r = intPow(Ctor, x, k, pr);\r\n return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm);\r\n }\r\n\r\n s = x.s;\r\n\r\n // if x is negative\r\n if (s < 0) {\r\n\r\n // if y is not an integer\r\n if (e < y.d.length - 1) return new Ctor(NaN);\r\n\r\n // Result is positive if x is negative and the last digit of integer y is even.\r\n if ((y.d[e] & 1) == 0) s = 1;\r\n\r\n // if x.eq(-1)\r\n if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) {\r\n x.s = s;\r\n return x;\r\n }\r\n }\r\n\r\n // Estimate result exponent.\r\n // x^y = 10^e, where e = y * log10(x)\r\n // log10(x) = log10(x_significand) + x_exponent\r\n // log10(x_significand) = ln(x_significand) / ln(10)\r\n k = mathpow(+x, yn);\r\n e = k == 0 || !isFinite(k)\r\n ? mathfloor(yn * (Math.log('0.' + digitsToString(x.d)) / Math.LN10 + x.e + 1))\r\n : new Ctor(k + '').e;\r\n\r\n // Exponent estimate may be incorrect e.g. x: 0.999999999999999999, y: 2.29, e: 0, r.e: -1.\r\n\r\n // Overflow/underflow?\r\n if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0);\r\n\r\n external = false;\r\n Ctor.rounding = x.s = 1;\r\n\r\n // Estimate the extra guard digits needed to ensure five correct rounding digits from\r\n // naturalLogarithm(x). Example of failure without these extra digits (precision: 10):\r\n // new Decimal(2.32456).pow('2087987436534566.46411')\r\n // should be 1.162377823e+764914905173815, but is 1.162355823e+764914905173815\r\n k = Math.min(12, (e + '').length);\r\n\r\n // r = x^y = exp(y*ln(x))\r\n r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr);\r\n\r\n // r may be Infinity, e.g. (0.9999999999999999).pow(-1e+40)\r\n if (r.d) {\r\n\r\n // Truncate to the required precision plus five rounding digits.\r\n r = finalise(r, pr + 5, 1);\r\n\r\n // If the rounding digits are [49]9999 or [50]0000 increase the precision by 10 and recalculate\r\n // the result.\r\n if (checkRoundingDigits(r.d, pr, rm)) {\r\n e = pr + 10;\r\n\r\n // Truncate to the increased precision plus five rounding digits.\r\n r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1);\r\n\r\n // Check for 14 nines from the 2nd rounding digit (the first rounding digit may be 4 or 9).\r\n if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) {\r\n r = finalise(r, pr + 1, 0);\r\n }\r\n }\r\n }\r\n\r\n r.s = s;\r\n external = true;\r\n Ctor.rounding = rm;\r\n\r\n return finalise(r, pr, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toPrecision = function (sd, rm) {\r\n var str,\r\n x = this,\r\n Ctor = x.constructor;\r\n\r\n if (sd === void 0) {\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n } else {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n\r\n x = finalise(new Ctor(x), sd, rm);\r\n str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd);\r\n }\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\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 */\r\nP.toSignificantDigits = P.toSD = function (sd, rm) {\r\n var x = this,\r\n Ctor = x.constructor;\r\n\r\n if (sd === void 0) {\r\n sd = Ctor.precision;\r\n rm = Ctor.rounding;\r\n } else {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n }\r\n\r\n return finalise(new Ctor(x), sd, rm);\r\n};\r\n\r\n\r\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 */\r\nP.toString = function () {\r\n var x = this,\r\n Ctor = x.constructor,\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n return x.isNeg() && !x.isZero() ? '-' + str : str;\r\n};\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the value of this Decimal truncated to a whole number.\r\n *\r\n */\r\nP.truncated = P.trunc = function () {\r\n return finalise(new this.constructor(this), this.e + 1, 1);\r\n};\r\n\r\n\r\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 */\r\nP.valueOf = P.toJSON = function () {\r\n var x = this,\r\n Ctor = x.constructor,\r\n str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos);\r\n\r\n return x.isNeg() ? '-' + str : str;\r\n};\r\n\r\n\r\n// Helper functions for Decimal.prototype (P) and/or Decimal methods, and their callers.\r\n\r\n\r\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 */\r\n\r\n\r\nfunction digitsToString(d) {\r\n var i, k, ws,\r\n indexOfLastWord = d.length - 1,\r\n str = '',\r\n w = d[0];\r\n\r\n if (indexOfLastWord > 0) {\r\n str += w;\r\n for (i = 1; i < indexOfLastWord; i++) {\r\n ws = d[i] + '';\r\n k = LOG_BASE - ws.length;\r\n if (k) str += getZeroString(k);\r\n str += ws;\r\n }\r\n\r\n w = d[i];\r\n ws = w + '';\r\n k = LOG_BASE - ws.length;\r\n if (k) str += getZeroString(k);\r\n } else if (w === 0) {\r\n return '0';\r\n }\r\n\r\n // Remove trailing zeros of last w.\r\n for (; w % 10 === 0;) w /= 10;\r\n\r\n return str + w;\r\n}\r\n\r\n\r\nfunction checkInt32(i, min, max) {\r\n if (i !== ~~i || i < min || i > max) {\r\n throw Error(invalidArgument + i);\r\n }\r\n}\r\n\r\n\r\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 */\r\nfunction checkRoundingDigits(d, i, rm, repeating) {\r\n var di, k, r, rd;\r\n\r\n // Get the length of the first word of the array d.\r\n for (k = d[0]; k >= 10; k /= 10) --i;\r\n\r\n // Is the rounding digit in the first word of d?\r\n if (--i < 0) {\r\n i += LOG_BASE;\r\n di = 0;\r\n } else {\r\n di = Math.ceil((i + 1) / LOG_BASE);\r\n i %= LOG_BASE;\r\n }\r\n\r\n // i is the index (0 - 6) of the rounding digit.\r\n // E.g. if within the word 3487563 the first rounding digit is 5,\r\n // then i = 4, k = 1000, rd = 3487563 % 1000 = 563\r\n k = mathpow(10, LOG_BASE - i);\r\n rd = d[di] % k | 0;\r\n\r\n if (repeating == null) {\r\n if (i < 3) {\r\n if (i == 0) rd = rd / 100 | 0;\r\n else if (i == 1) rd = rd / 10 | 0;\r\n r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 50000 || rd == 0;\r\n } else {\r\n r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) &&\r\n (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 ||\r\n (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0;\r\n }\r\n } else {\r\n if (i < 4) {\r\n if (i == 0) rd = rd / 1000 | 0;\r\n else if (i == 1) rd = rd / 100 | 0;\r\n else if (i == 2) rd = rd / 10 | 0;\r\n r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999;\r\n } else {\r\n r = ((repeating || rm < 4) && rd + 1 == k ||\r\n (!repeating && rm > 3) && rd + 1 == k / 2) &&\r\n (d[di + 1] / k / 1000 | 0) == mathpow(10, i - 3) - 1;\r\n }\r\n }\r\n\r\n return r;\r\n}\r\n\r\n\r\n// Convert string of `baseIn` to an array of numbers of `baseOut`.\r\n// Eg. convertBase('255', 10, 16) returns [15, 15].\r\n// Eg. convertBase('ff', 16, 10) returns [2, 5, 5].\r\nfunction convertBase(str, baseIn, baseOut) {\r\n var j,\r\n arr = [0],\r\n arrL,\r\n i = 0,\r\n strL = str.length;\r\n\r\n for (; i < strL;) {\r\n for (arrL = arr.length; arrL--;) arr[arrL] *= baseIn;\r\n arr[0] += NUMERALS.indexOf(str.charAt(i++));\r\n for (j = 0; j < arr.length; j++) {\r\n if (arr[j] > baseOut - 1) {\r\n if (arr[j + 1] === void 0) 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\r\n/*\r\n * cos(x) = 1 - x^2/2! + x^4/4! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction cosine(Ctor, x) {\r\n var k, len, y;\r\n\r\n if (x.isZero()) return x;\r\n\r\n // Argument reduction: cos(4x) = 8*(cos^4(x) - cos^2(x)) + 1\r\n // i.e. cos(x) = 8*(cos^4(x/4) - cos^2(x/4)) + 1\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n len = x.d.length;\r\n if (len < 32) {\r\n k = Math.ceil(len / 3);\r\n y = (1 / tinyPow(4, k)).toString();\r\n } else {\r\n k = 16;\r\n y = '2.3283064365386962890625e-10';\r\n }\r\n\r\n Ctor.precision += k;\r\n\r\n x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1));\r\n\r\n // Reverse argument reduction\r\n for (var i = k; i--;) {\r\n var cos2x = x.times(x);\r\n x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1);\r\n }\r\n\r\n Ctor.precision -= k;\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * Perform division in the specified base.\r\n */\r\nvar divide = (function () {\r\n\r\n // Assumes non-zero x and k, and hence non-zero result.\r\n function multiplyInteger(x, k, base) {\r\n var temp,\r\n carry = 0,\r\n i = x.length;\r\n\r\n for (x = x.slice(); i--;) {\r\n temp = x[i] * k + carry;\r\n x[i] = temp % base | 0;\r\n carry = temp / base | 0;\r\n }\r\n\r\n if (carry) x.unshift(carry);\r\n\r\n return x;\r\n }\r\n\r\n function compare(a, b, aL, bL) {\r\n var i, r;\r\n\r\n if (aL != bL) {\r\n r = aL > bL ? 1 : -1;\r\n } else {\r\n for (i = r = 0; i < aL; i++) {\r\n if (a[i] != b[i]) {\r\n r = a[i] > b[i] ? 1 : -1;\r\n break;\r\n }\r\n }\r\n }\r\n\r\n return r;\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.shift();\r\n }\r\n\r\n return function (x, y, pr, rm, dp, base) {\r\n var cmp, e, i, k, logBase, more, prod, prodL, q, qd, rem, remL, rem0, sd, t, xi, xL, yd0,\r\n yL, yz,\r\n Ctor = x.constructor,\r\n sign = x.s == y.s ? 1 : -1,\r\n xd = x.d,\r\n yd = y.d;\r\n\r\n // Either NaN, Infinity or 0?\r\n if (!xd || !xd[0] || !yd || !yd[0]) {\r\n\r\n return new Ctor(// Return NaN if either NaN, or both Infinity or 0.\r\n !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN :\r\n\r\n // Return ±0 if x is 0 or y is ±Infinity, or return ±Infinity as y is 0.\r\n xd && xd[0] == 0 || !yd ? sign * 0 : sign / 0);\r\n }\r\n\r\n if (base) {\r\n logBase = 1;\r\n e = x.e - y.e;\r\n } else {\r\n base = BASE;\r\n logBase = LOG_BASE;\r\n e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase);\r\n }\r\n\r\n yL = yd.length;\r\n xL = xd.length;\r\n q = new Ctor(sign);\r\n qd = q.d = [];\r\n\r\n // Result exponent may be one less than e.\r\n // The digit array of a Decimal from toStringBinary may have trailing zeros.\r\n for (i = 0; yd[i] == (xd[i] || 0); i++);\r\n\r\n if (yd[i] > (xd[i] || 0)) e--;\r\n\r\n if (pr == null) {\r\n sd = pr = Ctor.precision;\r\n rm = Ctor.rounding;\r\n } else if (dp) {\r\n sd = pr + (x.e - y.e) + 1;\r\n } else {\r\n sd = pr;\r\n }\r\n\r\n if (sd < 0) {\r\n qd.push(1);\r\n more = true;\r\n } else {\r\n\r\n // Convert precision in number of base 10 digits to base 1e7 digits.\r\n sd = sd / logBase + 2 | 0;\r\n i = 0;\r\n\r\n // divisor < 1e7\r\n if (yL == 1) {\r\n k = 0;\r\n yd = yd[0];\r\n sd++;\r\n\r\n // k is the carry.\r\n for (; (i < xL || k) && sd--; i++) {\r\n t = k * base + (xd[i] || 0);\r\n qd[i] = t / yd | 0;\r\n k = t % yd | 0;\r\n }\r\n\r\n more = k || i < xL;\r\n\r\n // divisor >= 1e7\r\n } else {\r\n\r\n // Normalise xd and yd so highest order digit of yd is >= base/2\r\n k = base / (yd[0] + 1) | 0;\r\n\r\n if (k > 1) {\r\n yd = multiplyInteger(yd, k, base);\r\n xd = multiplyInteger(xd, k, base);\r\n yL = yd.length;\r\n xL = xd.length;\r\n }\r\n\r\n xi = yL;\r\n rem = xd.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\r\n yz = yd.slice();\r\n yz.unshift(0);\r\n yd0 = yd[0];\r\n\r\n if (yd[1] >= base / 2) ++yd0;\r\n\r\n do {\r\n k = 0;\r\n\r\n // Compare divisor and remainder.\r\n cmp = compare(yd, rem, yL, remL);\r\n\r\n // If divisor < remainder.\r\n if (cmp < 0) {\r\n\r\n // Calculate trial digit, k.\r\n rem0 = rem[0];\r\n if (yL != remL) rem0 = rem0 * base + (rem[1] || 0);\r\n\r\n // k will be how many times the divisor goes into the current remainder.\r\n k = rem0 / yd0 | 0;\r\n\r\n // Algorithm:\r\n // 1. product = divisor * trial digit (k)\r\n // 2. if product > remainder: product -= divisor, k--\r\n // 3. remainder -= product\r\n // 4. if product was < remainder at 2:\r\n // 5. compare new remainder and divisor\r\n // 6. If remainder > divisor: remainder -= divisor, k++\r\n\r\n if (k > 1) {\r\n if (k >= base) k = base - 1;\r\n\r\n // product = divisor * trial digit.\r\n prod = multiplyInteger(yd, k, base);\r\n prodL = prod.length;\r\n remL = rem.length;\r\n\r\n // Compare product and remainder.\r\n cmp = compare(prod, rem, prodL, remL);\r\n\r\n // product > remainder.\r\n if (cmp == 1) {\r\n k--;\r\n\r\n // Subtract divisor from product.\r\n subtract(prod, yL < prodL ? yz : yd, prodL, base);\r\n }\r\n } else {\r\n\r\n // cmp is -1.\r\n // If k is 0, there is no need to compare yd and rem again below, so change cmp to 1\r\n // to avoid it. If k is 1 there is a need to compare yd and rem again below.\r\n if (k == 0) cmp = k = 1;\r\n prod = yd.slice();\r\n }\r\n\r\n prodL = prod.length;\r\n if (prodL < remL) prod.unshift(0);\r\n\r\n // Subtract product from remainder.\r\n subtract(rem, prod, remL, base);\r\n\r\n // If product was < previous remainder.\r\n if (cmp == -1) {\r\n remL = rem.length;\r\n\r\n // Compare divisor and new remainder.\r\n cmp = compare(yd, rem, yL, remL);\r\n\r\n // If divisor < new remainder, subtract divisor from remainder.\r\n if (cmp < 1) {\r\n k++;\r\n\r\n // Subtract divisor from remainder.\r\n subtract(rem, yL < remL ? yz : yd, remL, base);\r\n }\r\n }\r\n\r\n remL = rem.length;\r\n } else if (cmp === 0) {\r\n k++;\r\n rem = [0];\r\n } // if cmp === 1, k will be 0\r\n\r\n // Add the next digit, k, to the result array.\r\n qd[i++] = k;\r\n\r\n // Update the remainder.\r\n if (cmp && rem[0]) {\r\n rem[remL++] = xd[xi] || 0;\r\n } else {\r\n rem = [xd[xi]];\r\n remL = 1;\r\n }\r\n\r\n } while ((xi++ < xL || rem[0] !== void 0) && sd--);\r\n\r\n more = rem[0] !== void 0;\r\n }\r\n\r\n // Leading zero?\r\n if (!qd[0]) qd.shift();\r\n }\r\n\r\n // logBase is 1 when divide is being used for base conversion.\r\n if (logBase == 1) {\r\n q.e = e;\r\n inexact = more;\r\n } else {\r\n\r\n // To calculate q.e, first get the number of digits of qd[0].\r\n for (i = 1, k = qd[0]; k >= 10; k /= 10) i++;\r\n q.e = i + e * logBase - 1;\r\n\r\n finalise(q, dp ? pr + q.e + 1 : pr, rm, more);\r\n }\r\n\r\n return q;\r\n };\r\n})();\r\n\r\n\r\n/*\r\n * Round `x` to `sd` significant digits using rounding mode `rm`.\r\n * Check for over/under-flow.\r\n */\r\n function finalise(x, sd, rm, isTruncated) {\r\n var digits, i, j, k, rd, roundUp, w, xd, xdi,\r\n Ctor = x.constructor;\r\n\r\n // Don't round if sd is null or undefined.\r\n out: if (sd != null) {\r\n xd = x.d;\r\n\r\n // Infinity/NaN.\r\n if (!xd) return x;\r\n\r\n // rd: the rounding digit, i.e. the digit after the digit that may be rounded up.\r\n // w: the word of xd containing rd, a base 1e7 number.\r\n // xdi: the index of w within xd.\r\n // digits: the number of digits of w.\r\n // i: what would be the index of rd within w if all the numbers were 7 digits long (i.e. if\r\n // they had leading zeros)\r\n // j: if > 0, the actual index of rd within w (if < 0, rd is a leading zero).\r\n\r\n // Get the length of the first word of the digits array xd.\r\n for (digits = 1, k = xd[0]; k >= 10; k /= 10) digits++;\r\n i = sd - digits;\r\n\r\n // Is the rounding digit in the first word of xd?\r\n if (i < 0) {\r\n i += LOG_BASE;\r\n j = sd;\r\n w = xd[xdi = 0];\r\n\r\n // Get the rounding digit at index j of w.\r\n rd = w / mathpow(10, digits - j - 1) % 10 | 0;\r\n } else {\r\n xdi = Math.ceil((i + 1) / LOG_BASE);\r\n k = xd.length;\r\n if (xdi >= k) {\r\n if (isTruncated) {\r\n\r\n // Needed by `naturalExponential`, `naturalLogarithm` and `squareRoot`.\r\n for (; k++ <= xdi;) xd.push(0);\r\n w = rd = 0;\r\n digits = 1;\r\n i %= LOG_BASE;\r\n j = i - LOG_BASE + 1;\r\n } else {\r\n break out;\r\n }\r\n } else {\r\n w = k = xd[xdi];\r\n\r\n // Get the number of digits of w.\r\n for (digits = 1; k >= 10; k /= 10) digits++;\r\n\r\n // Get the index of rd within w.\r\n i %= LOG_BASE;\r\n\r\n // Get the index of rd within w, adjusted for leading zeros.\r\n // The number of leading zeros of w is given by LOG_BASE - digits.\r\n j = i - LOG_BASE + digits;\r\n\r\n // Get the rounding digit at index j of w.\r\n rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0;\r\n }\r\n }\r\n\r\n // Are there any non-zero digits after the rounding digit?\r\n isTruncated = isTruncated || sd < 0 ||\r\n xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1));\r\n\r\n // The expression `w % mathpow(10, digits - j - 1)` returns all the digits of w to the right\r\n // of the digit at (left-to-right) index j, e.g. if w is 908714 and j is 2, the expression\r\n // will give 714.\r\n\r\n roundUp = rm < 4\r\n ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2))\r\n : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 &&\r\n\r\n // Check whether the digit to the left of the rounding digit is odd.\r\n ((i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10) & 1 ||\r\n rm == (x.s < 0 ? 8 : 7));\r\n\r\n if (sd < 1 || !xd[0]) {\r\n xd.length = 0;\r\n if (roundUp) {\r\n\r\n // Convert sd to decimal places.\r\n sd -= x.e + 1;\r\n\r\n // 1, 0.1, 0.01, 0.001, 0.0001 etc.\r\n xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE);\r\n x.e = -sd || 0;\r\n } else {\r\n\r\n // Zero.\r\n xd[0] = x.e = 0;\r\n }\r\n\r\n return x;\r\n }\r\n\r\n // Remove excess digits.\r\n if (i == 0) {\r\n xd.length = xdi;\r\n k = 1;\r\n xdi--;\r\n } else {\r\n xd.length = xdi + 1;\r\n k = mathpow(10, LOG_BASE - i);\r\n\r\n // E.g. 56700 becomes 56000 if 7 is the rounding digit.\r\n // j > 0 means i > number of leading zeros of w.\r\n xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0;\r\n }\r\n\r\n if (roundUp) {\r\n for (;;) {\r\n\r\n // Is the digit to be rounded up in the first word of xd?\r\n if (xdi == 0) {\r\n\r\n // i will be the length of xd[0] before k is added.\r\n for (i = 1, j = xd[0]; j >= 10; j /= 10) i++;\r\n j = xd[0] += k;\r\n for (k = 1; j >= 10; j /= 10) k++;\r\n\r\n // if i != k the length has increased.\r\n if (i != k) {\r\n x.e++;\r\n if (xd[0] == BASE) xd[0] = 1;\r\n }\r\n\r\n break;\r\n } else {\r\n xd[xdi] += k;\r\n if (xd[xdi] != BASE) break;\r\n xd[xdi--] = 0;\r\n k = 1;\r\n }\r\n }\r\n }\r\n\r\n // Remove trailing zeros.\r\n for (i = xd.length; xd[--i] === 0;) xd.pop();\r\n }\r\n\r\n if (external) {\r\n\r\n // Overflow?\r\n if (x.e > Ctor.maxE) {\r\n\r\n // Infinity.\r\n x.d = null;\r\n x.e = NaN;\r\n\r\n // Underflow?\r\n } else if (x.e < Ctor.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n // Ctor.underflow = true;\r\n } // else Ctor.underflow = false;\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\nfunction finiteToString(x, isExp, sd) {\r\n if (!x.isFinite()) return nonFiniteToString(x);\r\n var k,\r\n e = x.e,\r\n str = digitsToString(x.d),\r\n len = str.length;\r\n\r\n if (isExp) {\r\n if (sd && (k = sd - len) > 0) {\r\n str = str.charAt(0) + '.' + str.slice(1) + getZeroString(k);\r\n } else if (len > 1) {\r\n str = str.charAt(0) + '.' + str.slice(1);\r\n }\r\n\r\n str = str + (x.e < 0 ? 'e' : 'e+') + x.e;\r\n } else if (e < 0) {\r\n str = '0.' + getZeroString(-e - 1) + str;\r\n if (sd && (k = sd - len) > 0) str += getZeroString(k);\r\n } else if (e >= len) {\r\n str += getZeroString(e + 1 - len);\r\n if (sd && (k = sd - e - 1) > 0) str = str + '.' + getZeroString(k);\r\n } else {\r\n if ((k = e + 1) < len) str = str.slice(0, k) + '.' + str.slice(k);\r\n if (sd && (k = sd - len) > 0) {\r\n if (e + 1 === len) str += '.';\r\n str += getZeroString(k);\r\n }\r\n }\r\n\r\n return str;\r\n}\r\n\r\n\r\n// Calculate the base 10 exponent from the base 1e7 exponent.\r\nfunction getBase10Exponent(digits, e) {\r\n var w = digits[0];\r\n\r\n // Add the number of digits of the first word of the digits array.\r\n for ( e *= LOG_BASE; w >= 10; w /= 10) e++;\r\n return e;\r\n}\r\n\r\n\r\nfunction getLn10(Ctor, sd, pr) {\r\n if (sd > LN10_PRECISION) {\r\n\r\n // Reset global state in case the exception is caught.\r\n external = true;\r\n if (pr) Ctor.precision = pr;\r\n throw Error(precisionLimitExceeded);\r\n }\r\n return finalise(new Ctor(LN10), sd, 1, true);\r\n}\r\n\r\n\r\nfunction getPi(Ctor, sd, rm) {\r\n if (sd > PI_PRECISION) throw Error(precisionLimitExceeded);\r\n return finalise(new Ctor(PI), sd, rm, true);\r\n}\r\n\r\n\r\nfunction getPrecision(digits) {\r\n var w = digits.length - 1,\r\n len = w * LOG_BASE + 1;\r\n\r\n w = digits[w];\r\n\r\n // If non-zero...\r\n if (w) {\r\n\r\n // Subtract the number of trailing zeros of the last word.\r\n for (; w % 10 == 0; w /= 10) len--;\r\n\r\n // Add the number of digits of the first word.\r\n for (w = digits[0]; w >= 10; w /= 10) len++;\r\n }\r\n\r\n return len;\r\n}\r\n\r\n\r\nfunction getZeroString(k) {\r\n var zs = '';\r\n for (; k--;) zs += '0';\r\n return zs;\r\n}\r\n\r\n\r\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 */\r\nfunction intPow(Ctor, x, n, pr) {\r\n var isTruncated,\r\n r = new Ctor(1),\r\n\r\n // Max n of 9007199254740991 takes 53 loop iterations.\r\n // Maximum digits array length; leaves [28, 34] guard digits.\r\n k = Math.ceil(pr / LOG_BASE + 4);\r\n\r\n external = false;\r\n\r\n for (;;) {\r\n if (n % 2) {\r\n r = r.times(x);\r\n if (truncate(r.d, k)) isTruncated = true;\r\n }\r\n\r\n n = mathfloor(n / 2);\r\n if (n === 0) {\r\n\r\n // To ensure correct rounding when r.d is truncated, increment the last word if it is zero.\r\n n = r.d.length - 1;\r\n if (isTruncated && r.d[n] === 0) ++r.d[n];\r\n break;\r\n }\r\n\r\n x = x.times(x);\r\n truncate(x.d, k);\r\n }\r\n\r\n external = true;\r\n\r\n return r;\r\n}\r\n\r\n\r\nfunction isOdd(n) {\r\n return n.d[n.d.length - 1] & 1;\r\n}\r\n\r\n\r\n/*\r\n * Handle `max` and `min`. `ltgt` is 'lt' or 'gt'.\r\n */\r\nfunction maxOrMin(Ctor, args, ltgt) {\r\n var y,\r\n x = new Ctor(args[0]),\r\n i = 0;\r\n\r\n for (; ++i < args.length;) {\r\n y = new Ctor(args[i]);\r\n if (!y.s) {\r\n x = y;\r\n break;\r\n } else if (x[ltgt](y)) {\r\n x = y;\r\n }\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\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 */\r\nfunction naturalExponential(x, sd) {\r\n var denominator, guard, j, pow, sum, t, wpr,\r\n rep = 0,\r\n i = 0,\r\n k = 0,\r\n Ctor = x.constructor,\r\n rm = Ctor.rounding,\r\n pr = Ctor.precision;\r\n\r\n // 0/NaN/Infinity?\r\n if (!x.d || !x.d[0] || x.e > 17) {\r\n\r\n return new Ctor(x.d\r\n ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0\r\n : x.s ? x.s < 0 ? 0 : x : 0 / 0);\r\n }\r\n\r\n if (sd == null) {\r\n external = false;\r\n wpr = pr;\r\n } else {\r\n wpr = sd;\r\n }\r\n\r\n t = new Ctor(0.03125);\r\n\r\n // while abs(x) >= 0.1\r\n while (x.e > -2) {\r\n\r\n // x = x / 2^5\r\n x = x.times(t);\r\n k += 5;\r\n }\r\n\r\n // Use 2 * log10(2^k) + 5 (empirically derived) to estimate the increase in precision\r\n // necessary to ensure the first 4 rounding digits are correct.\r\n guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0;\r\n wpr += guard;\r\n denominator = pow = sum = new Ctor(1);\r\n Ctor.precision = wpr;\r\n\r\n for (;;) {\r\n pow = finalise(pow.times(x), wpr, 1);\r\n denominator = denominator.times(++i);\r\n t = sum.plus(divide(pow, denominator, wpr, 1));\r\n\r\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n j = k;\r\n while (j--) sum = finalise(sum.times(sum), wpr, 1);\r\n\r\n // Check to see if the first 4 rounding digits are [49]999.\r\n // If so, repeat the summation with a higher precision, otherwise\r\n // e.g. with precision: 18, rounding: 1\r\n // exp(18.404272462595034083567793919843761) = 98372560.1229999999 (should be 98372560.123)\r\n // `wpr - guard` is the index of first rounding digit.\r\n if (sd == null) {\r\n\r\n if (rep < 3 && checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n Ctor.precision = wpr += 10;\r\n denominator = pow = t = new Ctor(1);\r\n i = 0;\r\n rep++;\r\n } else {\r\n return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n }\r\n } else {\r\n Ctor.precision = pr;\r\n return sum;\r\n }\r\n }\r\n\r\n sum = t;\r\n }\r\n}\r\n\r\n\r\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 */\r\nfunction naturalLogarithm(y, sd) {\r\n var c, c0, denominator, e, numerator, rep, sum, t, wpr, x1, x2,\r\n n = 1,\r\n guard = 10,\r\n x = y,\r\n xd = x.d,\r\n Ctor = x.constructor,\r\n rm = Ctor.rounding,\r\n pr = Ctor.precision;\r\n\r\n // Is x negative or Infinity, NaN, 0 or 1?\r\n if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) {\r\n return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x);\r\n }\r\n\r\n if (sd == null) {\r\n external = false;\r\n wpr = pr;\r\n } else {\r\n wpr = sd;\r\n }\r\n\r\n Ctor.precision = wpr += guard;\r\n c = digitsToString(xd);\r\n c0 = c.charAt(0);\r\n\r\n if (Math.abs(e = x.e) < 1.5e15) {\r\n\r\n // Argument reduction.\r\n // The series converges faster the closer the argument is to 1, so using\r\n // ln(a^b) = b * ln(a), ln(a) = ln(a^b) / b\r\n // multiply the argument by itself until the leading digits of the significand are 7, 8, 9,\r\n // 10, 11, 12 or 13, recording the number of multiplications so the sum of the series can\r\n // later be divided by this number, then separate out the power of 10 using\r\n // ln(a*10^b) = ln(a) + b*ln(10).\r\n\r\n // max n is 21 (gives 0.9, 1.0 or 1.1) (9e15 / 21 = 4.2e14).\r\n //while (c0 < 9 && c0 != 1 || c0 == 1 && c.charAt(1) > 1) {\r\n // max n is 6 (gives 0.7 - 1.3)\r\n while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) {\r\n x = x.times(y);\r\n c = digitsToString(x.d);\r\n c0 = c.charAt(0);\r\n n++;\r\n }\r\n\r\n e = x.e;\r\n\r\n if (c0 > 1) {\r\n x = new Ctor('0.' + c);\r\n e++;\r\n } else {\r\n x = new Ctor(c0 + '.' + c.slice(1));\r\n }\r\n } else {\r\n\r\n // The argument reduction method above may result in overflow if the argument y is a massive\r\n // number with exponent >= 1500000000000000 (9e15 / 6 = 1.5e15), so instead recall this\r\n // function using ln(x*10^e) = ln(x) + e*ln(10).\r\n t = getLn10(Ctor, wpr + 2, pr).times(e + '');\r\n x = naturalLogarithm(new Ctor(c0 + '.' + c.slice(1)), wpr - guard).plus(t);\r\n Ctor.precision = pr;\r\n\r\n return sd == null ? finalise(x, pr, rm, external = true) : x;\r\n }\r\n\r\n // x1 is x reduced to a value near 1.\r\n x1 = x;\r\n\r\n // Taylor series.\r\n // ln(y) = ln((1 + x)/(1 - x)) = 2(x + x^3/3 + x^5/5 + x^7/7 + ...)\r\n // where x = (y - 1)/(y + 1) (|x| < 1)\r\n sum = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1);\r\n x2 = finalise(x.times(x), wpr, 1);\r\n denominator = 3;\r\n\r\n for (;;) {\r\n numerator = finalise(numerator.times(x2), wpr, 1);\r\n t = sum.plus(divide(numerator, new Ctor(denominator), wpr, 1));\r\n\r\n if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum.d).slice(0, wpr)) {\r\n sum = sum.times(2);\r\n\r\n // Reverse the argument reduction. Check that e is not 0 because, besides preventing an\r\n // unnecessary calculation, -0 + 0 = +0 and to ensure correct rounding -0 needs to stay -0.\r\n if (e !== 0) sum = sum.plus(getLn10(Ctor, wpr + 2, pr).times(e + ''));\r\n sum = divide(sum, new Ctor(n), wpr, 1);\r\n\r\n // Is rm > 3 and the first 4 rounding digits 4999, or rm < 4 (or the summation has\r\n // been repeated previously) and the first 4 rounding digits 9999?\r\n // If so, restart the summation with a higher precision, otherwise\r\n // e.g. with precision: 12, rounding: 1\r\n // ln(135520028.6126091714265381533) = 18.7246299999 when it should be 18.72463.\r\n // `wpr - guard` is the index of first rounding digit.\r\n if (sd == null) {\r\n if (checkRoundingDigits(sum.d, wpr - guard, rm, rep)) {\r\n Ctor.precision = wpr += guard;\r\n t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1);\r\n x2 = finalise(x.times(x), wpr, 1);\r\n denominator = rep = 1;\r\n } else {\r\n return finalise(sum, Ctor.precision = pr, rm, external = true);\r\n }\r\n } else {\r\n Ctor.precision = pr;\r\n return sum;\r\n }\r\n }\r\n\r\n sum = t;\r\n denominator += 2;\r\n }\r\n}\r\n\r\n\r\n// ±Infinity, NaN.\r\nfunction nonFiniteToString(x) {\r\n // Unsigned.\r\n return String(x.s * x.s / 0);\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from string `str`.\r\n */\r\nfunction parseDecimal(x, str) {\r\n var e, i, len;\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 // 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 - 1) === 48; --len);\r\n str = str.slice(i, len);\r\n\r\n if (str) {\r\n len -= i;\r\n x.e = e = e - i - 1;\r\n x.d = [];\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 word of the digits array.\r\n i = (e + 1) % LOG_BASE;\r\n if (e < 0) i += LOG_BASE;\r\n\r\n if (i < len) {\r\n if (i) x.d.push(+str.slice(0, i));\r\n for (len -= LOG_BASE; i < len;) x.d.push(+str.slice(i, i += LOG_BASE));\r\n str = str.slice(i);\r\n i = LOG_BASE - str.length;\r\n } else {\r\n i -= len;\r\n }\r\n\r\n for (; i--;) str += '0';\r\n x.d.push(+str);\r\n\r\n if (external) {\r\n\r\n // Overflow?\r\n if (x.e > x.constructor.maxE) {\r\n\r\n // Infinity.\r\n x.d = null;\r\n x.e = NaN;\r\n\r\n // Underflow?\r\n } else if (x.e < x.constructor.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n // x.constructor.underflow = true;\r\n } // else x.constructor.underflow = false;\r\n }\r\n } else {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * Parse the value of a new Decimal `x` from a string `str`, which is not a decimal value.\r\n */\r\nfunction parseOther(x, str) {\r\n var base, Ctor, divisor, i, isFloat, len, p, xd, xe;\r\n\r\n if (str.indexOf('_') > -1) {\r\n str = str.replace(/(\\d)_(?=\\d)/g, '$1');\r\n if (isDecimal.test(str)) return parseDecimal(x, str);\r\n } else if (str === 'Infinity' || str === 'NaN') {\r\n if (!+str) x.s = NaN;\r\n x.e = NaN;\r\n x.d = null;\r\n return x;\r\n }\r\n\r\n if (isHex.test(str)) {\r\n base = 16;\r\n str = str.toLowerCase();\r\n } else if (isBinary.test(str)) {\r\n base = 2;\r\n } else if (isOctal.test(str)) {\r\n base = 8;\r\n } else {\r\n throw Error(invalidArgument + str);\r\n }\r\n\r\n // Is there a binary exponent part?\r\n i = str.search(/p/i);\r\n\r\n if (i > 0) {\r\n p = +str.slice(i + 1);\r\n str = str.substring(2, i);\r\n } else {\r\n str = str.slice(2);\r\n }\r\n\r\n // Convert `str` as an integer then divide the result by `base` raised to a power such that the\r\n // fraction part will be restored.\r\n i = str.indexOf('.');\r\n isFloat = i >= 0;\r\n Ctor = x.constructor;\r\n\r\n if (isFloat) {\r\n str = str.replace('.', '');\r\n len = str.length;\r\n i = len - i;\r\n\r\n // log[10](16) = 1.2041... , log[10](88) = 1.9444....\r\n divisor = intPow(Ctor, new Ctor(base), i, i * 2);\r\n }\r\n\r\n xd = convertBase(str, base, BASE);\r\n xe = xd.length - 1;\r\n\r\n // Remove trailing zeros.\r\n for (i = xe; xd[i] === 0; --i) xd.pop();\r\n if (i < 0) return new Ctor(x.s * 0);\r\n x.e = getBase10Exponent(xd, xe);\r\n x.d = xd;\r\n external = false;\r\n\r\n // At what precision to perform the division to ensure exact conversion?\r\n // maxDecimalIntegerPartDigitCount = ceil(log[10](b) * otherBaseIntegerPartDigitCount)\r\n // log[10](2) = 0.30103, log[10](8) = 0.90309, log[10](16) = 1.20412\r\n // E.g. ceil(1.2 * 3) = 4, so up to 4 decimal digits are needed to represent 3 hex int digits.\r\n // maxDecimalFractionPartDigitCount = {Hex:4|Oct:3|Bin:1} * otherBaseFractionPartDigitCount\r\n // Therefore using 4 * the number of digits of str will always be enough.\r\n if (isFloat) x = divide(x, divisor, len * 4);\r\n\r\n // Multiply by the binary exponent part if present.\r\n if (p) x = x.times(Math.abs(p) < 54 ? mathpow(2, p) : Decimal.pow(2, p));\r\n external = true;\r\n\r\n return x;\r\n}\r\n\r\n\r\n/*\r\n * sin(x) = x - x^3/3! + x^5/5! - ...\r\n * |x| < pi/2\r\n *\r\n */\r\nfunction sine(Ctor, x) {\r\n var k,\r\n len = x.d.length;\r\n\r\n if (len < 3) {\r\n return x.isZero() ? x : taylorSeries(Ctor, 2, x, x);\r\n }\r\n\r\n // Argument reduction: sin(5x) = 16*sin^5(x) - 20*sin^3(x) + 5*sin(x)\r\n // i.e. sin(x) = 16*sin^5(x/5) - 20*sin^3(x/5) + 5*sin(x/5)\r\n // and sin(x) = sin(x/5)(5 + sin^2(x/5)(16sin^2(x/5) - 20))\r\n\r\n // Estimate the optimum number of times to use the argument reduction.\r\n k = 1.4 * Math.sqrt(len);\r\n k = k > 16 ? 16 : k | 0;\r\n\r\n x = x.times(1 / tinyPow(5, k));\r\n x = taylorSeries(Ctor, 2, x, x);\r\n\r\n // Reverse argument reduction\r\n var sin2_x,\r\n d5 = new Ctor(5),\r\n d16 = new Ctor(16),\r\n d20 = new Ctor(20);\r\n for (; k--;) {\r\n sin2_x = x.times(x);\r\n x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20))));\r\n }\r\n\r\n return x;\r\n}\r\n\r\n\r\n// Calculate Taylor series for `cos`, `cosh`, `sin` and `sinh`.\r\nfunction taylorSeries(Ctor, n, x, y, isHyperbolic) {\r\n var j, t, u, x2,\r\n i = 1,\r\n pr = Ctor.precision,\r\n k = Math.ceil(pr / LOG_BASE);\r\n\r\n external = false;\r\n x2 = x.times(x);\r\n u = new Ctor(y);\r\n\r\n for (;;) {\r\n t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1);\r\n u = isHyperbolic ? y.plus(t) : y.minus(t);\r\n y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1);\r\n t = u.plus(y);\r\n\r\n if (t.d[k] !== void 0) {\r\n for (j = k; t.d[j] === u.d[j] && j--;);\r\n if (j == -1) break;\r\n }\r\n\r\n j = u;\r\n u = y;\r\n y = t;\r\n t = j;\r\n i++;\r\n }\r\n\r\n external = true;\r\n t.d.length = k + 1;\r\n\r\n return t;\r\n}\r\n\r\n\r\n// Exponent e must be positive and non-zero.\r\nfunction tinyPow(b, e) {\r\n var n = b;\r\n while (--e) n *= b;\r\n return n;\r\n}\r\n\r\n\r\n// Return the absolute value of `x` reduced to less than or equal to half pi.\r\nfunction toLessThanHalfPi(Ctor, x) {\r\n var t,\r\n isNeg = x.s < 0,\r\n pi = getPi(Ctor, Ctor.precision, 1),\r\n halfPi = pi.times(0.5);\r\n\r\n x = x.abs();\r\n\r\n if (x.lte(halfPi)) {\r\n quadrant = isNeg ? 4 : 1;\r\n return x;\r\n }\r\n\r\n t = x.divToInt(pi);\r\n\r\n if (t.isZero()) {\r\n quadrant = isNeg ? 3 : 2;\r\n } else {\r\n x = x.minus(t.times(pi));\r\n\r\n // 0 <= x < pi\r\n if (x.lte(halfPi)) {\r\n quadrant = isOdd(t) ? (isNeg ? 2 : 3) : (isNeg ? 4 : 1);\r\n return x;\r\n }\r\n\r\n quadrant = isOdd(t) ? (isNeg ? 1 : 4) : (isNeg ? 3 : 2);\r\n }\r\n\r\n return x.minus(pi).abs();\r\n}\r\n\r\n\r\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 */\r\nfunction toStringBinary(x, baseOut, sd, rm) {\r\n var base, e, i, k, len, roundUp, str, xd, y,\r\n Ctor = x.constructor,\r\n isExp = sd !== void 0;\r\n\r\n if (isExp) {\r\n checkInt32(sd, 1, MAX_DIGITS);\r\n if (rm === void 0) rm = Ctor.rounding;\r\n else checkInt32(rm, 0, 8);\r\n } else {\r\n sd = Ctor.precision;\r\n rm = Ctor.rounding;\r\n }\r\n\r\n if (!x.isFinite()) {\r\n str = nonFiniteToString(x);\r\n } else {\r\n str = finiteToString(x);\r\n i = str.indexOf('.');\r\n\r\n // Use exponential notation according to `toExpPos` and `toExpNeg`? No, but if required:\r\n // maxBinaryExponent = floor((decimalExponent + 1) * log[2](10))\r\n // minBinaryExponent = floor(decimalExponent * log[2](10))\r\n // log[2](10) = 3.321928094887362347870319429489390175864\r\n\r\n if (isExp) {\r\n base = 2;\r\n if (baseOut == 16) {\r\n sd = sd * 4 - 3;\r\n } else if (baseOut == 8) {\r\n sd = sd * 3 - 2;\r\n }\r\n } else {\r\n base = baseOut;\r\n }\r\n\r\n // Convert the number as an integer then divide the result by its base raised to a power such\r\n // that the fraction part will be restored.\r\n\r\n // Non-integer.\r\n if (i >= 0) {\r\n str = str.replace('.', '');\r\n y = new Ctor(1);\r\n y.e = str.length - i;\r\n y.d = convertBase(finiteToString(y), 10, base);\r\n y.e = y.d.length;\r\n }\r\n\r\n xd = convertBase(str, 10, base);\r\n e = len = xd.length;\r\n\r\n // Remove trailing zeros.\r\n for (; xd[--len] == 0;) xd.pop();\r\n\r\n if (!xd[0]) {\r\n str = isExp ? '0p+0' : '0';\r\n } else {\r\n if (i < 0) {\r\n e--;\r\n } else {\r\n x = new Ctor(x);\r\n x.d = xd;\r\n x.e = e;\r\n x = divide(x, y, sd, rm, 0, base);\r\n xd = x.d;\r\n e = x.e;\r\n roundUp = inexact;\r\n }\r\n\r\n // The rounding digit, i.e. the digit after the digit that may be rounded up.\r\n i = xd[sd];\r\n k = base / 2;\r\n roundUp = roundUp || xd[sd + 1] !== void 0;\r\n\r\n roundUp = rm < 4\r\n ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2))\r\n : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 ||\r\n rm === (x.s < 0 ? 8 : 7));\r\n\r\n xd.length = sd;\r\n\r\n if (roundUp) {\r\n\r\n // Rounding up may mean the previous digit has to be rounded up and so on.\r\n for (; ++xd[--sd] > base - 1;) {\r\n xd[sd] = 0;\r\n if (!sd) {\r\n ++e;\r\n xd.unshift(1);\r\n }\r\n }\r\n }\r\n\r\n // Determine trailing zeros.\r\n for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n // E.g. [4, 11, 15] becomes 4bf.\r\n for (i = 0, str = ''; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n\r\n // Add binary exponent suffix?\r\n if (isExp) {\r\n if (len > 1) {\r\n if (baseOut == 16 || baseOut == 8) {\r\n i = baseOut == 16 ? 4 : 3;\r\n for (--len; len % i; len++) str += '0';\r\n xd = convertBase(str, base, baseOut);\r\n for (len = xd.length; !xd[len - 1]; --len);\r\n\r\n // xd[0] will always be be 1\r\n for (i = 1, str = '1.'; i < len; i++) str += NUMERALS.charAt(xd[i]);\r\n } else {\r\n str = str.charAt(0) + '.' + str.slice(1);\r\n }\r\n }\r\n\r\n str = str + (e < 0 ? 'p' : 'p+') + e;\r\n } else if (e < 0) {\r\n for (; ++e;) str = '0' + str;\r\n str = '0.' + str;\r\n } else {\r\n if (++e > len) for (e -= len; e-- ;) str += '0';\r\n else if (e < len) str = str.slice(0, e) + '.' + str.slice(e);\r\n }\r\n }\r\n\r\n str = (baseOut == 16 ? '0x' : baseOut == 2 ? '0b' : baseOut == 8 ? '0o' : '') + str;\r\n }\r\n\r\n return x.s < 0 ? '-' + str : str;\r\n}\r\n\r\n\r\n// Does not strip trailing zeros.\r\nfunction truncate(arr, len) {\r\n if (arr.length > len) {\r\n arr.length = len;\r\n return true;\r\n }\r\n}\r\n\r\n\r\n// Decimal methods\r\n\r\n\r\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 * clamp\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 * sum\r\n * tan\r\n * tanh\r\n * trunc\r\n */\r\n\r\n\r\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 */\r\nfunction abs(x) {\r\n return new this(x).abs();\r\n}\r\n\r\n\r\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 */\r\nfunction acos(x) {\r\n return new this(x).acos();\r\n}\r\n\r\n\r\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 */\r\nfunction acosh(x) {\r\n return new this(x).acosh();\r\n}\r\n\r\n\r\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 */\r\nfunction add(x, y) {\r\n return new this(x).plus(y);\r\n}\r\n\r\n\r\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 */\r\nfunction asin(x) {\r\n return new this(x).asin();\r\n}\r\n\r\n\r\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 */\r\nfunction asinh(x) {\r\n return new this(x).asinh();\r\n}\r\n\r\n\r\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 */\r\nfunction atan(x) {\r\n return new this(x).atan();\r\n}\r\n\r\n\r\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 */\r\nfunction atanh(x) {\r\n return new this(x).atanh();\r\n}\r\n\r\n\r\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 */\r\nfunction atan2(y, x) {\r\n y = new this(y);\r\n x = new this(x);\r\n var r,\r\n pr = this.precision,\r\n rm = this.rounding,\r\n wpr = pr + 4;\r\n\r\n // Either NaN\r\n if (!y.s || !x.s) {\r\n r = new this(NaN);\r\n\r\n // Both ±Infinity\r\n } else if (!y.d && !x.d) {\r\n r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75);\r\n r.s = y.s;\r\n\r\n // x is ±Infinity or y is ±0\r\n } else if (!x.d || y.isZero()) {\r\n r = x.s < 0 ? getPi(this, pr, rm) : new this(0);\r\n r.s = y.s;\r\n\r\n // y is ±Infinity or x is ±0\r\n } else if (!y.d || x.isZero()) {\r\n r = getPi(this, wpr, 1).times(0.5);\r\n r.s = y.s;\r\n\r\n // Both non-zero and finite\r\n } else if (x.s < 0) {\r\n this.precision = wpr;\r\n this.rounding = 1;\r\n r = this.atan(divide(y, x, wpr, 1));\r\n x = getPi(this, wpr, 1);\r\n this.precision = pr;\r\n this.rounding = rm;\r\n r = y.s < 0 ? r.minus(x) : r.plus(x);\r\n } else {\r\n r = this.atan(divide(y, x, wpr, 1));\r\n }\r\n\r\n return r;\r\n}\r\n\r\n\r\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 */\r\nfunction cbrt(x) {\r\n return new this(x).cbrt();\r\n}\r\n\r\n\r\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 */\r\nfunction ceil(x) {\r\n return finalise(x = new this(x), x.e + 1, 2);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is `x` clamped to the range delineated by `min` and `max`.\r\n *\r\n * x {number|string|Decimal}\r\n * min {number|string|Decimal}\r\n * max {number|string|Decimal}\r\n *\r\n */\r\nfunction clamp(x, min, max) {\r\n return new this(x).clamp(min, max);\r\n}\r\n\r\n\r\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 */\r\nfunction config(obj) {\r\n if (!obj || typeof obj !== 'object') throw Error(decimalError + 'Object expected');\r\n var i, p, v,\r\n useDefaults = obj.defaults === true,\r\n ps = [\r\n 'precision', 1, MAX_DIGITS,\r\n 'rounding', 0, 8,\r\n 'toExpNeg', -EXP_LIMIT, 0,\r\n 'toExpPos', 0, EXP_LIMIT,\r\n 'maxE', 0, EXP_LIMIT,\r\n 'minE', -EXP_LIMIT, 0,\r\n 'modulo', 0, 9\r\n ];\r\n\r\n for (i = 0; i < ps.length; i += 3) {\r\n if (p = ps[i], useDefaults) this[p] = DEFAULTS[p];\r\n if ((v = obj[p]) !== void 0) {\r\n if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v;\r\n else throw Error(invalidArgument + p + ': ' + v);\r\n }\r\n }\r\n\r\n if (p = 'crypto', useDefaults) this[p] = DEFAULTS[p];\r\n if ((v = obj[p]) !== void 0) {\r\n if (v === true || v === false || v === 0 || v === 1) {\r\n if (v) {\r\n if (typeof crypto != 'undefined' && crypto &&\r\n (crypto.getRandomValues || crypto.randomBytes)) {\r\n this[p] = true;\r\n } else {\r\n throw Error(cryptoUnavailable);\r\n }\r\n } else {\r\n this[p] = false;\r\n }\r\n } else {\r\n throw Error(invalidArgument + p + ': ' + v);\r\n }\r\n }\r\n\r\n return this;\r\n}\r\n\r\n\r\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 */\r\nfunction cos(x) {\r\n return new this(x).cos();\r\n}\r\n\r\n\r\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 */\r\nfunction cosh(x) {\r\n return new this(x).cosh();\r\n}\r\n\r\n\r\n/*\r\n * Create and return a Decimal constructor with the same configuration properties as this Decimal\r\n * constructor.\r\n *\r\n */\r\nfunction clone(obj) {\r\n var i, p, ps;\r\n\r\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 */\r\n function Decimal(v) {\r\n var e, i, t,\r\n x = this;\r\n\r\n // Decimal called without new.\r\n if (!(x instanceof Decimal)) return new Decimal(v);\r\n\r\n // Retain a reference to this Decimal constructor, and shadow Decimal.prototype.constructor\r\n // which points to Object.\r\n x.constructor = Decimal;\r\n\r\n // Duplicate.\r\n if (isDecimalInstance(v)) {\r\n x.s = v.s;\r\n\r\n if (external) {\r\n if (!v.d || v.e > Decimal.maxE) {\r\n\r\n // Infinity.\r\n x.e = NaN;\r\n x.d = null;\r\n } else if (v.e < Decimal.minE) {\r\n\r\n // Zero.\r\n x.e = 0;\r\n x.d = [0];\r\n } else {\r\n x.e = v.e;\r\n x.d = v.d.slice();\r\n }\r\n } else {\r\n x.e = v.e;\r\n x.d = v.d ? v.d.slice() : v.d;\r\n }\r\n\r\n return;\r\n }\r\n\r\n t = typeof v;\r\n\r\n if (t === 'number') {\r\n if (v === 0) {\r\n x.s = 1 / v < 0 ? -1 : 1;\r\n x.e = 0;\r\n x.d = [0];\r\n return;\r\n }\r\n\r\n if (v < 0) {\r\n v = -v;\r\n x.s = -1;\r\n } else {\r\n x.s = 1;\r\n }\r\n\r\n // Fast path for small integers.\r\n if (v === ~~v && v < 1e7) {\r\n for (e = 0, i = v; i >= 10; i /= 10) e++;\r\n\r\n if (external) {\r\n if (e > Decimal.maxE) {\r\n x.e = NaN;\r\n x.d = null;\r\n } else if (e < Decimal.minE) {\r\n x.e = 0;\r\n x.d = [0];\r\n } else {\r\n x.e = e;\r\n x.d = [v];\r\n }\r\n } else {\r\n x.e = e;\r\n x.d = [v];\r\n }\r\n\r\n return;\r\n\r\n // Infinity, NaN.\r\n } else if (v * 0 !== 0) {\r\n if (!v) x.s = NaN;\r\n x.e = NaN;\r\n x.d = null;\r\n return;\r\n }\r\n\r\n return parseDecimal(x, v.toString());\r\n\r\n } else if (t !== 'string') {\r\n throw Error(invalidArgument + v);\r\n }\r\n\r\n // Minus sign?\r\n if ((i = v.charCodeAt(0)) === 45) {\r\n v = v.slice(1);\r\n x.s = -1;\r\n } else {\r\n // Plus sign?\r\n if (i === 43) v = v.slice(1);\r\n x.s = 1;\r\n }\r\n\r\n return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v);\r\n }\r\n\r\n Decimal.prototype = P;\r\n\r\n Decimal.ROUND_UP = 0;\r\n Decimal.ROUND_DOWN = 1;\r\n Decimal.ROUND_CEIL = 2;\r\n Decimal.ROUND_FLOOR = 3;\r\n Decimal.ROUND_HALF_UP = 4;\r\n Decimal.ROUND_HALF_DOWN = 5;\r\n Decimal.ROUND_HALF_EVEN = 6;\r\n Decimal.ROUND_HALF_CEIL = 7;\r\n Decimal.ROUND_HALF_FLOOR = 8;\r\n Decimal.EUCLID = 9;\r\n\r\n Decimal.config = Decimal.set = config;\r\n Decimal.clone = clone;\r\n Decimal.isDecimal = isDecimalInstance;\r\n\r\n Decimal.abs = abs;\r\n Decimal.acos = acos;\r\n Decimal.acosh = acosh; // ES6\r\n Decimal.add = add;\r\n Decimal.asin = asin;\r\n Decimal.asinh = asinh; // ES6\r\n Decimal.atan = atan;\r\n Decimal.atanh = atanh; // ES6\r\n Decimal.atan2 = atan2;\r\n Decimal.cbrt = cbrt; // ES6\r\n Decimal.ceil = ceil;\r\n Decimal.clamp = clamp;\r\n Decimal.cos = cos;\r\n Decimal.cosh = cosh; // ES6\r\n Decimal.div = div;\r\n Decimal.exp = exp;\r\n Decimal.floor = floor;\r\n Decimal.hypot = hypot; // ES6\r\n Decimal.ln = ln;\r\n Decimal.log = log;\r\n Decimal.log10 = log10; // ES6\r\n Decimal.log2 = log2; // ES6\r\n Decimal.max = max;\r\n Decimal.min = min;\r\n Decimal.mod = mod;\r\n Decimal.mul = mul;\r\n Decimal.pow = pow;\r\n Decimal.random = random;\r\n Decimal.round = round;\r\n Decimal.sign = sign; // ES6\r\n Decimal.sin = sin;\r\n Decimal.sinh = sinh; // ES6\r\n Decimal.sqrt = sqrt;\r\n Decimal.sub = sub;\r\n Decimal.sum = sum;\r\n Decimal.tan = tan;\r\n Decimal.tanh = tanh; // ES6\r\n Decimal.trunc = trunc; // ES6\r\n\r\n if (obj === void 0) obj = {};\r\n if (obj) {\r\n if (obj.defaults !== true) {\r\n ps = ['precision', 'rounding', 'toExpNeg', 'toExpPos', 'maxE', 'minE', 'modulo', 'crypto'];\r\n for (i = 0; i < ps.length;) if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p];\r\n }\r\n }\r\n\r\n Decimal.config(obj);\r\n\r\n return Decimal;\r\n}\r\n\r\n\r\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 */\r\nfunction div(x, y) {\r\n return new this(x).div(y);\r\n}\r\n\r\n\r\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 */\r\nfunction exp(x) {\r\n return new this(x).exp();\r\n}\r\n\r\n\r\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 */\r\nfunction floor(x) {\r\n return finalise(x = new this(x), x.e + 1, 3);\r\n}\r\n\r\n\r\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 */\r\nfunction hypot() {\r\n var i, n,\r\n t = new this(0);\r\n\r\n external = false;\r\n\r\n for (i = 0; i < arguments.length;) {\r\n n = new this(arguments[i++]);\r\n if (!n.d) {\r\n if (n.s) {\r\n external = true;\r\n return new this(1 / 0);\r\n }\r\n t = n;\r\n } else if (t.d) {\r\n t = t.plus(n.times(n));\r\n }\r\n }\r\n\r\n external = true;\r\n\r\n return t.sqrt();\r\n}\r\n\r\n\r\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 */\r\nfunction isDecimalInstance(obj) {\r\n return obj instanceof Decimal || obj && obj.toStringTag === tag || false;\r\n}\r\n\r\n\r\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 */\r\nfunction ln(x) {\r\n return new this(x).ln();\r\n}\r\n\r\n\r\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 */\r\nfunction log(x, y) {\r\n return new this(x).log(y);\r\n}\r\n\r\n\r\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 */\r\nfunction log2(x) {\r\n return new this(x).log(2);\r\n}\r\n\r\n\r\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 */\r\nfunction log10(x) {\r\n return new this(x).log(10);\r\n}\r\n\r\n\r\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 */\r\nfunction max() {\r\n return maxOrMin(this, arguments, 'lt');\r\n}\r\n\r\n\r\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 */\r\nfunction min() {\r\n return maxOrMin(this, arguments, 'gt');\r\n}\r\n\r\n\r\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 */\r\nfunction mod(x, y) {\r\n return new this(x).mod(y);\r\n}\r\n\r\n\r\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 */\r\nfunction mul(x, y) {\r\n return new this(x).mul(y);\r\n}\r\n\r\n\r\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 */\r\nfunction pow(x, y) {\r\n return new this(x).pow(y);\r\n}\r\n\r\n\r\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 */\r\nfunction random(sd) {\r\n var d, e, k, n,\r\n i = 0,\r\n r = new this(1),\r\n rd = [];\r\n\r\n if (sd === void 0) sd = this.precision;\r\n else checkInt32(sd, 1, MAX_DIGITS);\r\n\r\n k = Math.ceil(sd / LOG_BASE);\r\n\r\n if (!this.crypto) {\r\n for (; i < k;) rd[i++] = Math.random() * 1e7 | 0;\r\n\r\n // Browsers supporting crypto.getRandomValues.\r\n } else if (crypto.getRandomValues) {\r\n d = crypto.getRandomValues(new Uint32Array(k));\r\n\r\n for (; i < k;) {\r\n n = d[i];\r\n\r\n // 0 <= n < 4294967296\r\n // Probability n >= 4.29e9, is 4967296 / 4294967296 = 0.00116 (1 in 865).\r\n if (n >= 4.29e9) {\r\n d[i] = crypto.getRandomValues(new Uint32Array(1))[0];\r\n } else {\r\n\r\n // 0 <= n <= 4289999999\r\n // 0 <= (n % 1e7) <= 9999999\r\n rd[i++] = n % 1e7;\r\n }\r\n }\r\n\r\n // Node.js supporting crypto.randomBytes.\r\n } else if (crypto.randomBytes) {\r\n\r\n // buffer\r\n d = crypto.randomBytes(k *= 4);\r\n\r\n for (; i < k;) {\r\n\r\n // 0 <= n < 2147483648\r\n n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 0x7f) << 24);\r\n\r\n // Probability n >= 2.14e9, is 7483648 / 2147483648 = 0.0035 (1 in 286).\r\n if (n >= 2.14e9) {\r\n crypto.randomBytes(4).copy(d, i);\r\n } else {\r\n\r\n // 0 <= n <= 2139999999\r\n // 0 <= (n % 1e7) <= 9999999\r\n rd.push(n % 1e7);\r\n i += 4;\r\n }\r\n }\r\n\r\n i = k / 4;\r\n } else {\r\n throw Error(cryptoUnavailable);\r\n }\r\n\r\n k = rd[--i];\r\n sd %= LOG_BASE;\r\n\r\n // Convert trailing digits to zeros according to sd.\r\n if (k && sd) {\r\n n = mathpow(10, LOG_BASE - sd);\r\n rd[i] = (k / n | 0) * n;\r\n }\r\n\r\n // Remove trailing words which are zero.\r\n for (; rd[i] === 0; i--) rd.pop();\r\n\r\n // Zero?\r\n if (i < 0) {\r\n e = 0;\r\n rd = [0];\r\n } else {\r\n e = -1;\r\n\r\n // Remove leading words which are zero and adjust exponent accordingly.\r\n for (; rd[0] === 0; e -= LOG_BASE) rd.shift();\r\n\r\n // Count the digits of the first word of rd to determine leading zeros.\r\n for (k = 1, n = rd[0]; n >= 10; n /= 10) k++;\r\n\r\n // Adjust the exponent for leading zeros of the first word of rd.\r\n if (k < LOG_BASE) e -= LOG_BASE - k;\r\n }\r\n\r\n r.e = e;\r\n r.d = rd;\r\n\r\n return r;\r\n}\r\n\r\n\r\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 */\r\nfunction round(x) {\r\n return finalise(x = new this(x), x.e + 1, this.rounding);\r\n}\r\n\r\n\r\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 */\r\nfunction sign(x) {\r\n x = new this(x);\r\n return x.d ? (x.d[0] ? x.s : 0 * x.s) : x.s || NaN;\r\n}\r\n\r\n\r\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 */\r\nfunction sin(x) {\r\n return new this(x).sin();\r\n}\r\n\r\n\r\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 */\r\nfunction sinh(x) {\r\n return new this(x).sinh();\r\n}\r\n\r\n\r\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 */\r\nfunction sqrt(x) {\r\n return new this(x).sqrt();\r\n}\r\n\r\n\r\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 */\r\nfunction sub(x, y) {\r\n return new this(x).sub(y);\r\n}\r\n\r\n\r\n/*\r\n * Return a new Decimal whose value is the sum of the arguments, rounded to `precision`\r\n * significant digits using rounding mode `rounding`.\r\n *\r\n * Only the result is rounded, not the intermediate calculations.\r\n *\r\n * arguments {number|string|Decimal}\r\n *\r\n */\r\nfunction sum() {\r\n var i = 0,\r\n args = arguments,\r\n x = new this(args[i]);\r\n\r\n external = false;\r\n for (; x.s && ++i < args.length;) x = x.plus(args[i]);\r\n external = true;\r\n\r\n return finalise(x, this.precision, this.rounding);\r\n}\r\n\r\n\r\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 */\r\nfunction tan(x) {\r\n return new this(x).tan();\r\n}\r\n\r\n\r\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 */\r\nfunction tanh(x) {\r\n return new this(x).tanh();\r\n}\r\n\r\n\r\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 */\r\nfunction trunc(x) {\r\n return finalise(x = new this(x), x.e + 1, 1);\r\n}\r\n\r\n\r\nP[Symbol.for('nodejs.util.inspect.custom')] = P.toString;\r\nP[Symbol.toStringTag] = 'Decimal';\r\n\r\n// Create and configure initial Decimal constructor.\r\nexport var Decimal = P.constructor = clone(DEFAULTS);\r\n\r\n// Create the internal constants from their string values.\r\nLN10 = new Decimal(LN10);\r\nPI = new Decimal(PI);\r\n\r\nexport default Decimal;\r\n","import Decimal from 'decimal.js';\nexport var TEN = new Decimal(10);\nexport var ZERO = new Decimal(0);\nexport var NEGATIVE_ZERO = new Decimal(-0);\n","import { Decimal } from 'decimal.js';\nimport { ZERO } from './constants';\n/**\n * https://tc39.es/ecma262/#sec-tostring\n */\nexport function ToString(o) {\n // Only symbol is irregular...\n if (typeof o === 'symbol') {\n throw TypeError('Cannot convert a Symbol value to a string');\n }\n return String(o);\n}\n/**\n * https://tc39.es/ecma262/#sec-tonumber\n * @param val\n */\nexport function ToNumber(val) {\n if (val === undefined) {\n return new Decimal(NaN);\n }\n if (val === null) {\n return ZERO;\n }\n if (typeof val === 'boolean') {\n return new Decimal(val ? 1 : 0);\n }\n if (typeof val === 'symbol' || typeof val === 'bigint') {\n throw new TypeError('Cannot convert symbol/bigint to number');\n }\n return new Decimal(Number(val));\n}\n/**\n * https://tc39.es/ecma262/#sec-tointeger\n * @param n\n */\nfunction ToInteger(n) {\n var number = ToNumber(n);\n if (number.isNaN() || number.isZero()) {\n return ZERO;\n }\n if (number.isFinite()) {\n return number;\n }\n var integer = number.abs().floor();\n if (number.isNegative()) {\n integer = integer.negated();\n }\n return integer;\n}\n/**\n * https://tc39.es/ecma262/#sec-timeclip\n * @param time\n */\nexport function TimeClip(time) {\n if (!isFinite(time)) {\n return NaN;\n }\n if (Math.abs(time) > 8.64 * 1e15) {\n return NaN;\n }\n return ToInteger(time).toNumber();\n}\n/**\n * https://tc39.es/ecma262/#sec-toobject\n * @param arg\n */\nexport function ToObject(arg) {\n if (arg == null) {\n throw new TypeError('undefined/null cannot be converted to object');\n }\n return Object(arg);\n}\n/**\n * https://www.ecma-international.org/ecma-262/11.0/index.html#sec-samevalue\n * @param x\n * @param y\n */\nexport function SameValue(x, y) {\n if (Object.is) {\n return Object.is(x, y);\n }\n // SameValue algorithm\n if (x === y) {\n // Steps 1-5, 7-10\n // Steps 6.b-6.e: +0 != -0\n return x !== 0 || 1 / x === 1 / y;\n }\n // Step 6.a: NaN == NaN\n return x !== x && y !== y;\n}\n/**\n * https://www.ecma-international.org/ecma-262/11.0/index.html#sec-arraycreate\n * @param len\n */\nexport function ArrayCreate(len) {\n return new Array(len);\n}\n/**\n * https://www.ecma-international.org/ecma-262/11.0/index.html#sec-hasownproperty\n * @param o\n * @param prop\n */\nexport function HasOwnProperty(o, prop) {\n return Object.prototype.hasOwnProperty.call(o, prop);\n}\n/**\n * https://www.ecma-international.org/ecma-262/11.0/index.html#sec-type\n * @param x\n */\nexport function Type(x) {\n if (x === null) {\n return 'Null';\n }\n if (typeof x === 'undefined') {\n return 'Undefined';\n }\n if (typeof x === 'function' || typeof x === 'object') {\n return 'Object';\n }\n if (typeof x === 'number') {\n return 'Number';\n }\n if (typeof x === 'boolean') {\n return 'Boolean';\n }\n if (typeof x === 'string') {\n return 'String';\n }\n if (typeof x === 'symbol') {\n return 'Symbol';\n }\n if (typeof x === 'bigint') {\n return 'BigInt';\n }\n}\nvar MS_PER_DAY = 86400000;\n/**\n * https://www.ecma-international.org/ecma-262/11.0/index.html#eqn-modulo\n * @param x\n * @param y\n * @return k of the same sign as y\n */\nfunction mod(x, y) {\n return x - Math.floor(x / y) * y;\n}\n/**\n * https://tc39.es/ecma262/#eqn-Day\n * @param t\n */\nexport function Day(t) {\n return Math.floor(t / MS_PER_DAY);\n}\n/**\n * https://tc39.es/ecma262/#sec-week-day\n * @param t\n */\nexport function WeekDay(t) {\n return mod(Day(t) + 4, 7);\n}\n/**\n * https://tc39.es/ecma262/#sec-year-number\n * @param y\n */\nexport function DayFromYear(y) {\n return Date.UTC(y, 0) / MS_PER_DAY;\n}\n/**\n * https://tc39.es/ecma262/#sec-year-number\n * @param y\n */\nexport function TimeFromYear(y) {\n return Date.UTC(y, 0);\n}\n/**\n * https://tc39.es/ecma262/#sec-year-number\n * @param t\n */\nexport function YearFromTime(t) {\n return new Date(t).getUTCFullYear();\n}\nexport function DaysInYear(y) {\n if (y % 4 !== 0) {\n return 365;\n }\n if (y % 100 !== 0) {\n return 366;\n }\n if (y % 400 !== 0) {\n return 365;\n }\n return 366;\n}\nexport function DayWithinYear(t) {\n return Day(t) - DayFromYear(YearFromTime(t));\n}\nexport function InLeapYear(t) {\n return DaysInYear(YearFromTime(t)) === 365 ? 0 : 1;\n}\n/**\n * https://tc39.es/ecma262/#sec-month-number\n * @param t\n */\nexport function MonthFromTime(t) {\n var dwy = DayWithinYear(t);\n var leap = InLeapYear(t);\n if (dwy >= 0 && dwy < 31) {\n return 0;\n }\n if (dwy < 59 + leap) {\n return 1;\n }\n if (dwy < 90 + leap) {\n return 2;\n }\n if (dwy < 120 + leap) {\n return 3;\n }\n if (dwy < 151 + leap) {\n return 4;\n }\n if (dwy < 181 + leap) {\n return 5;\n }\n if (dwy < 212 + leap) {\n return 6;\n }\n if (dwy < 243 + leap) {\n return 7;\n }\n if (dwy < 273 + leap) {\n return 8;\n }\n if (dwy < 304 + leap) {\n return 9;\n }\n if (dwy < 334 + leap) {\n return 10;\n }\n if (dwy < 365 + leap) {\n return 11;\n }\n throw new Error('Invalid time');\n}\nexport function DateFromTime(t) {\n var dwy = DayWithinYear(t);\n var mft = MonthFromTime(t);\n var leap = InLeapYear(t);\n if (mft === 0) {\n return dwy + 1;\n }\n if (mft === 1) {\n return dwy - 30;\n }\n if (mft === 2) {\n return dwy - 58 - leap;\n }\n if (mft === 3) {\n return dwy - 89 - leap;\n }\n if (mft === 4) {\n return dwy - 119 - leap;\n }\n if (mft === 5) {\n return dwy - 150 - leap;\n }\n if (mft === 6) {\n return dwy - 180 - leap;\n }\n if (mft === 7) {\n return dwy - 211 - leap;\n }\n if (mft === 8) {\n return dwy - 242 - leap;\n }\n if (mft === 9) {\n return dwy - 272 - leap;\n }\n if (mft === 10) {\n return dwy - 303 - leap;\n }\n if (mft === 11) {\n return dwy - 333 - leap;\n }\n throw new Error('Invalid time');\n}\nvar HOURS_PER_DAY = 24;\nvar MINUTES_PER_HOUR = 60;\nvar SECONDS_PER_MINUTE = 60;\nvar MS_PER_SECOND = 1e3;\nvar MS_PER_MINUTE = MS_PER_SECOND * SECONDS_PER_MINUTE;\nvar MS_PER_HOUR = MS_PER_MINUTE * MINUTES_PER_HOUR;\nexport function HourFromTime(t) {\n return mod(Math.floor(t / MS_PER_HOUR), HOURS_PER_DAY);\n}\nexport function MinFromTime(t) {\n return mod(Math.floor(t / MS_PER_MINUTE), MINUTES_PER_HOUR);\n}\nexport function SecFromTime(t) {\n return mod(Math.floor(t / MS_PER_SECOND), SECONDS_PER_MINUTE);\n}\nfunction IsCallable(fn) {\n return typeof fn === 'function';\n}\n/**\n * The abstract operation OrdinaryHasInstance implements\n * the default algorithm for determining if an object O\n * inherits from the instance object inheritance path\n * provided by constructor C.\n * @param C class\n * @param O object\n * @param internalSlots internalSlots\n */\nexport function OrdinaryHasInstance(C, O, internalSlots) {\n if (!IsCallable(C)) {\n return false;\n }\n if (internalSlots === null || internalSlots === void 0 ? void 0 : internalSlots.boundTargetFunction) {\n var BC = internalSlots === null || internalSlots === void 0 ? void 0 : internalSlots.boundTargetFunction;\n return O instanceof BC;\n }\n if (typeof O !== 'object') {\n return false;\n }\n var P = C.prototype;\n if (typeof P !== 'object') {\n throw new TypeError('OrdinaryHasInstance called on an object with an invalid prototype property.');\n }\n return Object.prototype.isPrototypeOf.call(P, O);\n}\nexport function msFromTime(t) {\n return mod(t, MS_PER_SECOND);\n}\n","import { ToObject } from './262';\n/**\n * https://tc39.es/ecma402/#sec-coerceoptionstoobject\n * @param options\n * @returns\n */\nexport function CoerceOptionsToObject(options) {\n if (typeof options === 'undefined') {\n return Object.create(null);\n }\n return ToObject(options);\n}\n","/**\n * https://tc39.es/ecma402/#sec-defaultnumberoption\n * @param val\n * @param min\n * @param max\n * @param fallback\n */\nexport function DefaultNumberOption(inputVal, min, max, fallback) {\n if (inputVal === undefined) {\n // @ts-expect-error\n return fallback;\n }\n var val = Number(inputVal);\n if (isNaN(val) || val < min || val > max) {\n throw new RangeError(\"\".concat(val, \" is outside of range [\").concat(min, \", \").concat(max, \"]\"));\n }\n return Math.floor(val);\n}\n","/**\n * https://tc39.es/ecma402/#sec-getnumberoption\n * @param options\n * @param property\n * @param min\n * @param max\n * @param fallback\n */\nimport { DefaultNumberOption } from './DefaultNumberOption';\nexport function GetNumberOption(options, property, minimum, maximum, fallback) {\n var val = options[property];\n return DefaultNumberOption(val, minimum, maximum, fallback);\n}\n","import { ToString } from './262';\n/**\n * https://tc39.es/ecma402/#sec-getoption\n * @param opts\n * @param prop\n * @param type\n * @param values\n * @param fallback\n */\nexport function GetOption(opts, prop, type, values, fallback) {\n if (typeof opts !== 'object') {\n throw new TypeError('Options must be an object');\n }\n var value = opts[prop];\n if (value !== undefined) {\n if (type !== 'boolean' && type !== 'string') {\n throw new TypeError('invalid type');\n }\n if (type === 'boolean') {\n value = Boolean(value);\n }\n if (type === 'string') {\n value = ToString(value);\n }\n if (values !== undefined && !values.filter(function (val) { return val == value; }).length) {\n throw new RangeError(\"\".concat(value, \" is not within \").concat(values.join(', ')));\n }\n return value;\n }\n return fallback;\n}\n","/**\n * https://tc39.es/ecma402/#sec-getoptionsobject\n * @param options\n * @returns\n */\nexport function GetOptionsObject(options) {\n if (typeof options === 'undefined') {\n return Object.create(null);\n }\n if (typeof options === 'object') {\n return options;\n }\n throw new TypeError('Options must be an object');\n}\n","/**\n * https://tc39.es/ecma402/#sec-getstringorbooleanoption\n * @param opts\n * @param prop\n * @param values\n * @param trueValue\n * @param falsyValue\n * @param fallback\n */\nimport { ToString } from './262';\nexport function GetStringOrBooleanOption(opts, prop, values, trueValue, falsyValue, fallback) {\n var value = opts[prop];\n if (value === undefined) {\n return fallback;\n }\n if (value === true) {\n return trueValue;\n }\n var valueBoolean = Boolean(value);\n if (valueBoolean === false) {\n return falsyValue;\n }\n value = ToString(value);\n if (value === 'true' || value === 'false') {\n return fallback;\n }\n if ((values || []).indexOf(value) === -1) {\n throw new RangeError(\"Invalid value \".concat(value));\n }\n return value;\n}\n","/**\n * https://tc39.es/ecma402/#table-sanctioned-simple-unit-identifiers\n */\nexport var SANCTIONED_UNITS = [\n 'angle-degree',\n 'area-acre',\n 'area-hectare',\n 'concentr-percent',\n 'digital-bit',\n 'digital-byte',\n 'digital-gigabit',\n 'digital-gigabyte',\n 'digital-kilobit',\n 'digital-kilobyte',\n 'digital-megabit',\n 'digital-megabyte',\n 'digital-petabyte',\n 'digital-terabit',\n 'digital-terabyte',\n 'duration-day',\n 'duration-hour',\n 'duration-millisecond',\n 'duration-minute',\n 'duration-month',\n 'duration-second',\n 'duration-week',\n 'duration-year',\n 'length-centimeter',\n 'length-foot',\n 'length-inch',\n 'length-kilometer',\n 'length-meter',\n 'length-mile-scandinavian',\n 'length-mile',\n 'length-millimeter',\n 'length-yard',\n 'mass-gram',\n 'mass-kilogram',\n 'mass-ounce',\n 'mass-pound',\n 'mass-stone',\n 'temperature-celsius',\n 'temperature-fahrenheit',\n 'volume-fluid-ounce',\n 'volume-gallon',\n 'volume-liter',\n 'volume-milliliter',\n];\n// In CLDR, the unit name always follows the form `namespace-unit` pattern.\n// For example: `digital-bit` instead of `bit`. This function removes the namespace prefix.\nexport function removeUnitNamespace(unit) {\n return unit.slice(unit.indexOf('-') + 1);\n}\n/**\n * https://tc39.es/ecma402/#table-sanctioned-simple-unit-identifiers\n */\nexport var SIMPLE_UNITS = SANCTIONED_UNITS.map(removeUnitNamespace);\n/**\n * https://tc39.es/ecma402/#sec-issanctionedsimpleunitidentifier\n */\nexport function IsSanctionedSimpleUnitIdentifier(unitIdentifier) {\n return SIMPLE_UNITS.indexOf(unitIdentifier) > -1;\n}\n","/**\n * https://tc39.es/ecma402/#sec-isvalidtimezonename\n * @param tz\n * @param implDetails implementation details\n */\nexport function IsValidTimeZoneName(tz, _a) {\n var zoneNamesFromData = _a.zoneNamesFromData, uppercaseLinks = _a.uppercaseLinks;\n var uppercasedTz = tz.toUpperCase();\n var zoneNames = new Set();\n var linkNames = new Set();\n zoneNamesFromData.map(function (z) { return z.toUpperCase(); }).forEach(function (z) { return zoneNames.add(z); });\n Object.keys(uppercaseLinks).forEach(function (linkName) {\n linkNames.add(linkName.toUpperCase());\n zoneNames.add(uppercaseLinks[linkName].toUpperCase());\n });\n return zoneNames.has(uppercasedTz) || linkNames.has(uppercasedTz);\n}\n","/**\n * This follows https://tc39.es/ecma402/#sec-case-sensitivity-and-case-mapping\n * @param str string to convert\n */\nfunction toUpperCase(str) {\n return str.replace(/([a-z])/g, function (_, c) { return c.toUpperCase(); });\n}\nvar NOT_A_Z_REGEX = /[^A-Z]/;\n/**\n * https://tc39.es/ecma402/#sec-iswellformedcurrencycode\n */\nexport function IsWellFormedCurrencyCode(currency) {\n currency = toUpperCase(currency);\n if (currency.length !== 3) {\n return false;\n }\n if (NOT_A_Z_REGEX.test(currency)) {\n return false;\n }\n return true;\n}\n","import { IsSanctionedSimpleUnitIdentifier } from './IsSanctionedSimpleUnitIdentifier';\n/**\n * This follows https://tc39.es/ecma402/#sec-case-sensitivity-and-case-mapping\n * @param str string to convert\n */\nfunction toLowerCase(str) {\n return str.replace(/([A-Z])/g, function (_, c) { return c.toLowerCase(); });\n}\n/**\n * https://tc39.es/ecma402/#sec-iswellformedunitidentifier\n * @param unit\n */\nexport function IsWellFormedUnitIdentifier(unit) {\n unit = toLowerCase(unit);\n if (IsSanctionedSimpleUnitIdentifier(unit)) {\n return true;\n }\n var units = unit.split('-per-');\n if (units.length !== 2) {\n return false;\n }\n var numerator = units[0], denominator = units[1];\n if (!IsSanctionedSimpleUnitIdentifier(numerator) ||\n !IsSanctionedSimpleUnitIdentifier(denominator)) {\n return false;\n }\n return true;\n}\n","//\n// Main\n//\nexport function memoize(fn, options) {\n var cache = options && options.cache ? options.cache : cacheDefault;\n var serializer = options && options.serializer ? options.serializer : serializerDefault;\n var strategy = options && options.strategy ? options.strategy : strategyDefault;\n return strategy(fn, {\n cache: cache,\n serializer: serializer,\n });\n}\n//\n// Strategy\n//\nfunction isPrimitive(value) {\n return (value == null || typeof value === 'number' || typeof value === 'boolean'); // || typeof value === \"string\" 'unsafe' primitive for our needs\n}\nfunction monadic(fn, cache, serializer, arg) {\n var cacheKey = isPrimitive(arg) ? arg : serializer(arg);\n var computedValue = cache.get(cacheKey);\n if (typeof computedValue === 'undefined') {\n computedValue = fn.call(this, arg);\n cache.set(cacheKey, computedValue);\n }\n return computedValue;\n}\nfunction variadic(fn, cache, serializer) {\n var args = Array.prototype.slice.call(arguments, 3);\n var cacheKey = serializer(args);\n var computedValue = cache.get(cacheKey);\n if (typeof computedValue === 'undefined') {\n computedValue = fn.apply(this, args);\n cache.set(cacheKey, computedValue);\n }\n return computedValue;\n}\nfunction assemble(fn, context, strategy, cache, serialize) {\n return strategy.bind(context, fn, cache, serialize);\n}\nfunction strategyDefault(fn, options) {\n var strategy = fn.length === 1 ? monadic : variadic;\n return assemble(fn, this, strategy, options.cache.create(), options.serializer);\n}\nfunction strategyVariadic(fn, options) {\n return assemble(fn, this, variadic, options.cache.create(), options.serializer);\n}\nfunction strategyMonadic(fn, options) {\n return assemble(fn, this, monadic, options.cache.create(), options.serializer);\n}\n//\n// Serializer\n//\nvar serializerDefault = function () {\n return JSON.stringify(arguments);\n};\n//\n// Cache\n//\nvar ObjectWithoutPrototypeCache = /** @class */ (function () {\n function ObjectWithoutPrototypeCache() {\n this.cache = Object.create(null);\n }\n ObjectWithoutPrototypeCache.prototype.get = function (key) {\n return this.cache[key];\n };\n ObjectWithoutPrototypeCache.prototype.set = function (key, value) {\n this.cache[key] = value;\n };\n return ObjectWithoutPrototypeCache;\n}());\nvar cacheDefault = {\n create: function create() {\n return new ObjectWithoutPrototypeCache();\n },\n};\nexport var strategies = {\n variadic: strategyVariadic,\n monadic: strategyMonadic,\n};\n","import { __spreadArray } from \"tslib\";\nimport { memoize, strategies } from '@formatjs/fast-memoize';\nexport function repeat(s, times) {\n if (typeof s.repeat === 'function') {\n return s.repeat(times);\n }\n var arr = new Array(times);\n for (var i = 0; i < arr.length; i++) {\n arr[i] = s;\n }\n return arr.join('');\n}\nexport function setInternalSlot(map, pl, field, value) {\n if (!map.get(pl)) {\n map.set(pl, Object.create(null));\n }\n var slots = map.get(pl);\n slots[field] = value;\n}\nexport function setMultiInternalSlots(map, pl, props) {\n for (var _i = 0, _a = Object.keys(props); _i < _a.length; _i++) {\n var k = _a[_i];\n setInternalSlot(map, pl, k, props[k]);\n }\n}\nexport function getInternalSlot(map, pl, field) {\n return getMultiInternalSlots(map, pl, field)[field];\n}\nexport function getMultiInternalSlots(map, pl) {\n var fields = [];\n for (var _i = 2; _i < arguments.length; _i++) {\n fields[_i - 2] = arguments[_i];\n }\n var slots = map.get(pl);\n if (!slots) {\n throw new TypeError(\"\".concat(pl, \" InternalSlot has not been initialized\"));\n }\n return fields.reduce(function (all, f) {\n all[f] = slots[f];\n return all;\n }, Object.create(null));\n}\nexport function isLiteralPart(patternPart) {\n return patternPart.type === 'literal';\n}\n/*\n 17 ECMAScript Standard Built-in Objects:\n Every built-in Function object, including constructors, that is not\n identified as an anonymous function has a name property whose value\n is a String.\n\n Unless otherwise specified, the name property of a built-in Function\n object, if it exists, has the attributes { [[Writable]]: false,\n [[Enumerable]]: false, [[Configurable]]: true }.\n*/\nexport function defineProperty(target, name, _a) {\n var value = _a.value;\n Object.defineProperty(target, name, {\n configurable: true,\n enumerable: false,\n writable: true,\n value: value,\n });\n}\n/**\n * 7.3.5 CreateDataProperty\n * @param target\n * @param name\n * @param value\n */\nexport function createDataProperty(target, name, value) {\n Object.defineProperty(target, name, {\n configurable: true,\n enumerable: true,\n writable: true,\n value: value,\n });\n}\nexport var UNICODE_EXTENSION_SEQUENCE_REGEX = /-u(?:-[0-9a-z]{2,8})+/gi;\nexport function invariant(condition, message, Err) {\n if (Err === void 0) { Err = Error; }\n if (!condition) {\n throw new Err(message);\n }\n}\nexport var createMemoizedNumberFormat = memoize(function () {\n var _a;\n var args = [];\n for (var _i = 0; _i < arguments.length; _i++) {\n args[_i] = arguments[_i];\n }\n return new ((_a = Intl.NumberFormat).bind.apply(_a, __spreadArray([void 0], args, false)))();\n}, {\n strategy: strategies.variadic,\n});\nexport var createMemoizedDateTimeFormat = memoize(function () {\n var _a;\n var args = [];\n for (var _i = 0; _i < arguments.length; _i++) {\n args[_i] = arguments[_i];\n }\n return new ((_a = Intl.DateTimeFormat).bind.apply(_a, __spreadArray([void 0], args, false)))();\n}, {\n strategy: strategies.variadic,\n});\nexport var createMemoizedPluralRules = memoize(function () {\n var _a;\n var args = [];\n for (var _i = 0; _i < arguments.length; _i++) {\n args[_i] = arguments[_i];\n }\n return new ((_a = Intl.PluralRules).bind.apply(_a, __spreadArray([void 0], args, false)))();\n}, {\n strategy: strategies.variadic,\n});\nexport var createMemoizedLocale = memoize(function () {\n var _a;\n var args = [];\n for (var _i = 0; _i < arguments.length; _i++) {\n args[_i] = arguments[_i];\n }\n return new ((_a = Intl.Locale).bind.apply(_a, __spreadArray([void 0], args, false)))();\n}, {\n strategy: strategies.variadic,\n});\nexport var createMemoizedListFormat = memoize(function () {\n var _a;\n var args = [];\n for (var _i = 0; _i < arguments.length; _i++) {\n args[_i] = arguments[_i];\n }\n return new ((_a = Intl.ListFormat).bind.apply(_a, __spreadArray([void 0], args, false)))();\n}, {\n strategy: strategies.variadic,\n});\n","import { invariant } from '../utils';\nexport function ApplyUnsignedRoundingMode(x, r1, r2, unsignedRoundingMode) {\n if (x.eq(r1))\n return r1;\n invariant(r1.lessThan(x) && x.lessThan(r2), \"x should be between r1 and r2 but x=\".concat(x, \", r1=\").concat(r1, \", r2=\").concat(r2));\n if (unsignedRoundingMode === 'zero') {\n return r1;\n }\n if (unsignedRoundingMode === 'infinity') {\n return r2;\n }\n var d1 = x.minus(r1);\n var d2 = r2.minus(x);\n if (d1.lessThan(d2)) {\n return r1;\n }\n if (d2.lessThan(d1)) {\n return r2;\n }\n invariant(d1.eq(d2), 'd1 should be equal to d2');\n if (unsignedRoundingMode === 'half-zero') {\n return r1;\n }\n if (unsignedRoundingMode === 'half-infinity') {\n return r2;\n }\n invariant(unsignedRoundingMode === 'half-even', 'unsignedRoundingMode should be half-even');\n var cardinality = r1.div(r2.minus(r1)).mod(2);\n if (cardinality.isZero()) {\n return r1;\n }\n return r2;\n}\n","var PART_TYPES_TO_COLLAPSE = new Set([\n 'unit',\n 'exponentMinusSign',\n 'minusSign',\n 'plusSign',\n 'percentSign',\n 'exponentSeparator',\n 'percent',\n 'percentSign',\n 'currency',\n 'literal',\n]);\n/**\n * https://tc39.es/ecma402/#sec-collapsenumberrange\n * LDML: https://unicode-org.github.io/cldr/ldml/tr35-numbers.html#collapsing-number-ranges\n */\nexport function CollapseNumberRange(numberFormat, result, _a) {\n var getInternalSlots = _a.getInternalSlots;\n var internalSlots = getInternalSlots(numberFormat);\n var symbols = internalSlots.dataLocaleData.numbers.symbols[internalSlots.numberingSystem];\n var rangeSignRegex = new RegExp(\"s?[\".concat(symbols.rangeSign, \"]s?\"));\n var rangeSignIndex = result.findIndex(function (r) { return r.type === 'literal' && rangeSignRegex.test(r.value); });\n var prefixSignParts = [];\n for (var i = rangeSignIndex - 1; i >= 0; i--) {\n if (!PART_TYPES_TO_COLLAPSE.has(result[i].type)) {\n break;\n }\n prefixSignParts.unshift(result[i]);\n }\n // Don't collapse if it's a single code point\n if (Array.from(prefixSignParts.map(function (p) { return p.value; }).join('')).length > 1) {\n var newResult = Array.from(result);\n newResult.splice(rangeSignIndex - prefixSignParts.length, prefixSignParts.length);\n return newResult;\n }\n var suffixSignParts = [];\n for (var i = rangeSignIndex + 1; i < result.length; i++) {\n if (!PART_TYPES_TO_COLLAPSE.has(result[i].type)) {\n break;\n }\n suffixSignParts.push(result[i]);\n }\n // Don't collapse if it's a single code point\n if (Array.from(suffixSignParts.map(function (p) { return p.value; }).join('')).length > 1) {\n var newResult = Array.from(result);\n newResult.splice(rangeSignIndex + 1, suffixSignParts.length);\n return newResult;\n }\n return result;\n}\n","import Decimal from 'decimal.js';\nimport { TEN } from '../constants';\nimport { invariant } from '../utils';\nDecimal.set({\n toExpPos: 100,\n});\n/**\n * The abstract operation ComputeExponentForMagnitude computes an exponent by which to scale a\n * number of the given magnitude (power of ten of the most significant digit) according to the\n * locale and the desired notation (scientific, engineering, or compact).\n */\nexport function ComputeExponentForMagnitude(numberFormat, magnitude, _a) {\n var getInternalSlots = _a.getInternalSlots;\n var internalSlots = getInternalSlots(numberFormat);\n var notation = internalSlots.notation, dataLocaleData = internalSlots.dataLocaleData, numberingSystem = internalSlots.numberingSystem;\n switch (notation) {\n case 'standard':\n return 0;\n case 'scientific':\n return magnitude.toNumber();\n case 'engineering':\n var thousands = magnitude.div(3).floor();\n return thousands.times(3).toNumber();\n default: {\n invariant(notation === 'compact', 'Invalid notation');\n // Let exponent be an implementation- and locale-dependent (ILD) integer by which to scale a\n // number of the given magnitude in compact notation for the current locale.\n var compactDisplay = internalSlots.compactDisplay, style = internalSlots.style, currencyDisplay = internalSlots.currencyDisplay;\n var thresholdMap = void 0;\n if (style === 'currency' && currencyDisplay !== 'name') {\n var currency = dataLocaleData.numbers.currency[numberingSystem] ||\n dataLocaleData.numbers.currency[dataLocaleData.numbers.nu[0]];\n thresholdMap = currency.short;\n }\n else {\n var decimal = dataLocaleData.numbers.decimal[numberingSystem] ||\n dataLocaleData.numbers.decimal[dataLocaleData.numbers.nu[0]];\n thresholdMap = compactDisplay === 'long' ? decimal.long : decimal.short;\n }\n if (!thresholdMap) {\n return 0;\n }\n var num = TEN.pow(magnitude).toString();\n var thresholds = Object.keys(thresholdMap); // TODO: this can be pre-processed\n if (num < thresholds[0]) {\n return 0;\n }\n if (num > thresholds[thresholds.length - 1]) {\n return thresholds[thresholds.length - 1].length - 1;\n }\n var i = thresholds.indexOf(num);\n if (i === -1) {\n return 0;\n }\n // See https://unicode.org/reports/tr35/tr35-numbers.html#Compact_Number_Formats\n // Special handling if the pattern is precisely `0`.\n var magnitudeKey = thresholds[i];\n // TODO: do we need to handle plural here?\n var compactPattern = thresholdMap[magnitudeKey].other;\n if (compactPattern === '0') {\n return 0;\n }\n // Example: in zh-TW, `10000000` maps to `0000萬`. So we need to return 8 - 4 = 4 here.\n return (magnitudeKey.length -\n thresholdMap[magnitudeKey].other.match(/0+/)[0].length);\n }\n }\n}\n","var negativeMapping = {\n ceil: 'zero',\n floor: 'infinity',\n expand: 'infinity',\n trunc: 'zero',\n halfCeil: 'half-zero',\n halfFloor: 'half-infinity',\n halfExpand: 'half-infinity',\n halfTrunc: 'half-zero',\n halfEven: 'half-even',\n};\nvar positiveMapping = {\n ceil: 'infinity',\n floor: 'zero',\n expand: 'infinity',\n trunc: 'zero',\n halfCeil: 'half-infinity',\n halfFloor: 'half-zero',\n halfExpand: 'half-infinity',\n halfTrunc: 'half-zero',\n halfEven: 'half-even',\n};\nexport function GetUnsignedRoundingMode(roundingMode, isNegative) {\n if (isNegative) {\n return negativeMapping[roundingMode];\n }\n return positiveMapping[roundingMode];\n}\n","import Decimal from 'decimal.js';\nimport { TEN } from '../constants';\nimport { repeat } from '../utils';\nimport { ApplyUnsignedRoundingMode } from './ApplyUnsignedRoundingMode';\nDecimal.set({\n toExpPos: 100,\n});\nfunction ToRawFixedFn(n, f) {\n return n.times(TEN.pow(-f));\n}\nfunction findN1R1(x, f, roundingIncrement) {\n var nx = x.times(TEN.pow(f)).floor();\n var n1 = nx.div(roundingIncrement).floor().times(roundingIncrement);\n var r1 = ToRawFixedFn(n1, f);\n return {\n n1: n1,\n r1: r1,\n };\n}\nfunction findN2R2(x, f, roundingIncrement) {\n var nx = x.times(TEN.pow(f)).ceil();\n var n2 = nx.div(roundingIncrement).ceil().times(roundingIncrement);\n var r2 = ToRawFixedFn(n2, f);\n return {\n n2: n2,\n r2: r2,\n };\n}\n/**\n * TODO: dedup with intl-pluralrules and support BigInt\n * https://tc39.es/ecma402/#sec-torawfixed\n * @param x a finite non-negative Number or BigInt\n * @param minFraction and integer between 0 and 20\n * @param maxFraction and integer between 0 and 20\n */\nexport function ToRawFixed(x, minFraction, maxFraction, roundingIncrement, unsignedRoundingMode) {\n var f = maxFraction;\n var _a = findN1R1(x, f, roundingIncrement), n1 = _a.n1, r1 = _a.r1;\n var _b = findN2R2(x, f, roundingIncrement), n2 = _b.n2, r2 = _b.r2;\n var r = ApplyUnsignedRoundingMode(x, r1, r2, unsignedRoundingMode);\n var n, xFinal;\n var m;\n if (r.eq(r1)) {\n n = n1;\n xFinal = r1;\n }\n else {\n n = n2;\n xFinal = r2;\n }\n if (n.isZero()) {\n m = '0';\n }\n else {\n m = n.toString();\n }\n var int;\n if (f !== 0) {\n var k = m.length;\n if (k <= f) {\n var z = repeat('0', f - k + 1);\n m = z + m;\n k = f + 1;\n }\n var a = m.slice(0, k - f);\n var b = m.slice(m.length - f);\n m = a + '.' + b;\n int = a.length;\n }\n else {\n int = m.length;\n }\n var cut = maxFraction - minFraction;\n while (cut > 0 && m[m.length - 1] === '0') {\n m = m.slice(0, m.length - 1);\n cut--;\n }\n if (m[m.length - 1] === '\\u002e') {\n m = m.slice(0, m.length - 1);\n }\n return {\n formattedString: m,\n roundedNumber: xFinal,\n integerDigitsCount: int,\n roundingMagnitude: -f,\n };\n}\n","import Decimal from 'decimal.js';\nimport { TEN, ZERO } from '../constants';\nimport { invariant, repeat } from '../utils';\nimport { ApplyUnsignedRoundingMode } from './ApplyUnsignedRoundingMode';\nDecimal.set({\n toExpPos: 100,\n});\nfunction ToRawPrecisionFn(n, e, p) {\n invariant(TEN.pow(p - 1).lessThanOrEqualTo(n) && n.lessThan(TEN.pow(p)), \"n should be in the range \".concat(TEN.pow(p - 1), \" <= n < \").concat(TEN.pow(p), \" but got \").concat(n));\n // n * 10^(e - p + 1)\n return n.times(TEN.pow(e.minus(p).plus(1)));\n}\nfunction findN1E1R1(x, p) {\n var maxN1 = TEN.pow(p);\n var minN1 = TEN.pow(p - 1);\n var maxE1 = x.div(minN1).log(10).plus(p).minus(1).ceil();\n for (var currentE1 = maxE1;; currentE1 = currentE1.minus(1)) {\n var currentN1 = x.div(TEN.pow(currentE1.minus(p).plus(1))).floor();\n if (currentN1.lessThan(maxN1) && currentN1.greaterThanOrEqualTo(minN1)) {\n var currentR1 = ToRawPrecisionFn(currentN1, currentE1, p);\n if (currentR1.lessThanOrEqualTo(x)) {\n return {\n n1: currentN1,\n e1: currentE1,\n r1: currentR1,\n };\n }\n }\n }\n}\nfunction findN2E2R2(x, p) {\n var maxN2 = TEN.pow(p);\n var minN2 = TEN.pow(p - 1);\n var minE2 = x.div(maxN2).log(10).plus(p).minus(1).floor();\n for (var currentE2 = minE2;; currentE2 = currentE2.plus(1)) {\n var currentN2 = x.div(TEN.pow(currentE2.minus(p).plus(1))).ceil();\n if (currentN2.lessThan(maxN2) && currentN2.greaterThanOrEqualTo(minN2)) {\n var currentR2 = ToRawPrecisionFn(currentN2, currentE2, p);\n if (currentR2.greaterThanOrEqualTo(x)) {\n return {\n n2: currentN2,\n e2: currentE2,\n r2: currentR2,\n };\n }\n }\n }\n}\nexport function ToRawPrecision(x, minPrecision, maxPrecision, unsignedRoundingMode) {\n var p = maxPrecision;\n var m;\n var e;\n var xFinal;\n if (x.isZero()) {\n m = repeat('0', p);\n e = 0;\n xFinal = ZERO;\n }\n else {\n var _a = findN1E1R1(x, p), n1 = _a.n1, e1 = _a.e1, r1 = _a.r1;\n var _b = findN2E2R2(x, p), n2 = _b.n2, e2 = _b.e2, r2 = _b.r2;\n var r = ApplyUnsignedRoundingMode(x, r1, r2, unsignedRoundingMode);\n var n = void 0;\n if (r.eq(r1)) {\n n = n1;\n e = e1.toNumber();\n xFinal = r1;\n }\n else {\n n = n2;\n e = e2.toNumber();\n xFinal = r2;\n }\n m = n.toString();\n }\n var int;\n if (e >= p - 1) {\n m = m + repeat('0', e - p + 1);\n int = e + 1;\n }\n else if (e >= 0) {\n m = m.slice(0, e + 1) + '.' + m.slice(m.length - (p - (e + 1)));\n int = e + 1;\n }\n else {\n invariant(e < 0, 'e should be less than 0');\n m = '0.' + repeat('0', -e - 1) + m;\n int = 1;\n }\n if (m.includes('.') && maxPrecision > minPrecision) {\n var cut = maxPrecision - minPrecision;\n while (cut > 0 && m[m.length - 1] === '0') {\n m = m.slice(0, m.length - 1);\n cut--;\n }\n if (m[m.length - 1] === '.') {\n m = m.slice(0, m.length - 1);\n }\n }\n return {\n formattedString: m,\n roundedNumber: xFinal,\n integerDigitsCount: int,\n roundingMagnitude: e,\n };\n}\n","import { NEGATIVE_ZERO, ZERO } from '../constants';\nimport { invariant, repeat } from '../utils';\nimport { GetUnsignedRoundingMode } from './GetUnsignedRoundingMode';\nimport { ToRawFixed } from './ToRawFixed';\nimport { ToRawPrecision } from './ToRawPrecision';\n/**\n * https://tc39.es/ecma402/#sec-formatnumberstring\n */\nexport function FormatNumericToString(intlObject, x) {\n var sign;\n // -0\n if (x.isZero() && x.isNegative()) {\n sign = 'negative';\n x = ZERO;\n }\n else {\n invariant(x.isFinite(), 'NumberFormatDigitInternalSlots value is not finite');\n if (x.lessThan(0)) {\n sign = 'negative';\n }\n else {\n sign = 'positive';\n }\n if (sign === 'negative') {\n x = x.negated();\n }\n }\n var result;\n var roundingType = intlObject.roundingType;\n var unsignedRoundingMode = GetUnsignedRoundingMode(intlObject.roundingMode, sign === 'negative');\n switch (roundingType) {\n case 'significantDigits':\n result = ToRawPrecision(x, intlObject.minimumSignificantDigits, intlObject.maximumSignificantDigits, unsignedRoundingMode);\n break;\n case 'fractionDigits':\n result = ToRawFixed(x, intlObject.minimumFractionDigits, intlObject.maximumFractionDigits, intlObject.roundingIncrement, unsignedRoundingMode);\n break;\n default:\n var sResult = ToRawPrecision(x, intlObject.minimumSignificantDigits, intlObject.maximumSignificantDigits, unsignedRoundingMode);\n var fResult = ToRawFixed(x, intlObject.minimumFractionDigits, intlObject.maximumFractionDigits, intlObject.roundingIncrement, unsignedRoundingMode);\n if (intlObject.roundingType === 'morePrecision') {\n if (sResult.roundingMagnitude <= fResult.roundingMagnitude) {\n result = sResult;\n }\n else {\n result = fResult;\n }\n }\n else {\n invariant(intlObject.roundingType === 'lessPrecision', 'Invalid roundingType');\n if (sResult.roundingMagnitude <= fResult.roundingMagnitude) {\n result = fResult;\n }\n else {\n result = sResult;\n }\n }\n break;\n }\n x = result.roundedNumber;\n var string = result.formattedString;\n if (intlObject.trailingZeroDisplay === 'stripIfInteger' && x.isInteger()) {\n var i = string.indexOf('.');\n if (i > -1) {\n string = string.slice(0, i);\n }\n }\n var int = result.integerDigitsCount;\n var minInteger = intlObject.minimumIntegerDigits;\n if (int < minInteger) {\n var forwardZeros = repeat('0', minInteger - int);\n string = forwardZeros + string;\n }\n if (sign === 'negative') {\n if (x.isZero()) {\n x = NEGATIVE_ZERO;\n }\n else {\n x = x.negated();\n }\n }\n return { roundedNumber: x, formattedString: string };\n}\n","import { TEN } from '../constants';\nimport { ComputeExponentForMagnitude } from './ComputeExponentForMagnitude';\nimport { FormatNumericToString } from './FormatNumericToString';\n/**\n * The abstract operation ComputeExponent computes an exponent (power of ten) by which to scale x\n * according to the number formatting settings. It handles cases such as 999 rounding up to 1000,\n * requiring a different exponent.\n *\n * NOT IN SPEC: it returns [exponent, magnitude].\n */\nexport function ComputeExponent(numberFormat, x, _a) {\n var getInternalSlots = _a.getInternalSlots;\n if (x.isZero()) {\n return [0, 0];\n }\n if (x.isNegative()) {\n x = x.negated();\n }\n var magnitude = x.log(10).floor();\n var exponent = ComputeExponentForMagnitude(numberFormat, magnitude, {\n getInternalSlots: getInternalSlots,\n });\n // Preserve more precision by doing multiplication when exponent is negative.\n x = x.times(TEN.pow(-exponent));\n var formatNumberResult = FormatNumericToString(getInternalSlots(numberFormat), x);\n if (formatNumberResult.roundedNumber.isZero()) {\n return [exponent, magnitude.toNumber()];\n }\n var newMagnitude = formatNumberResult.roundedNumber.log(10).floor();\n if (newMagnitude.eq(magnitude.minus(exponent))) {\n return [exponent, magnitude.toNumber()];\n }\n return [\n ComputeExponentForMagnitude(numberFormat, magnitude.plus(1), {\n getInternalSlots: getInternalSlots,\n }),\n magnitude.plus(1).toNumber(),\n ];\n}\n","import { HasOwnProperty } from '../262';\n/**\n * https://tc39.es/ecma402/#sec-currencydigits\n */\nexport function CurrencyDigits(c, _a) {\n var currencyDigitsData = _a.currencyDigitsData;\n return HasOwnProperty(currencyDigitsData, c)\n ? currencyDigitsData[c]\n : 2;\n}\n","// @generated from regex-gen.ts\nexport var S_UNICODE_REGEX = /[\\$\\+<->\\^`\\|~\\xA2-\\xA6\\xA8\\xA9\\xAC\\xAE-\\xB1\\xB4\\xB8\\xD7\\xF7\\u02C2-\\u02C5\\u02D2-\\u02DF\\u02E5-\\u02EB\\u02ED\\u02EF-\\u02FF\\u0375\\u0384\\u0385\\u03F6\\u0482\\u058D-\\u058F\\u0606-\\u0608\\u060B\\u060E\\u060F\\u06DE\\u06E9\\u06FD\\u06FE\\u07F6\\u07FE\\u07FF\\u09F2\\u09F3\\u09FA\\u09FB\\u0AF1\\u0B70\\u0BF3-\\u0BFA\\u0C7F\\u0D4F\\u0D79\\u0E3F\\u0F01-\\u0F03\\u0F13\\u0F15-\\u0F17\\u0F1A-\\u0F1F\\u0F34\\u0F36\\u0F38\\u0FBE-\\u0FC5\\u0FC7-\\u0FCC\\u0FCE\\u0FCF\\u0FD5-\\u0FD8\\u109E\\u109F\\u1390-\\u1399\\u166D\\u17DB\\u1940\\u19DE-\\u19FF\\u1B61-\\u1B6A\\u1B74-\\u1B7C\\u1FBD\\u1FBF-\\u1FC1\\u1FCD-\\u1FCF\\u1FDD-\\u1FDF\\u1FED-\\u1FEF\\u1FFD\\u1FFE\\u2044\\u2052\\u207A-\\u207C\\u208A-\\u208C\\u20A0-\\u20BF\\u2100\\u2101\\u2103-\\u2106\\u2108\\u2109\\u2114\\u2116-\\u2118\\u211E-\\u2123\\u2125\\u2127\\u2129\\u212E\\u213A\\u213B\\u2140-\\u2144\\u214A-\\u214D\\u214F\\u218A\\u218B\\u2190-\\u2307\\u230C-\\u2328\\u232B-\\u2426\\u2440-\\u244A\\u249C-\\u24E9\\u2500-\\u2767\\u2794-\\u27C4\\u27C7-\\u27E5\\u27F0-\\u2982\\u2999-\\u29D7\\u29DC-\\u29FB\\u29FE-\\u2B73\\u2B76-\\u2B95\\u2B97-\\u2BFF\\u2CE5-\\u2CEA\\u2E50\\u2E51\\u2E80-\\u2E99\\u2E9B-\\u2EF3\\u2F00-\\u2FD5\\u2FF0-\\u2FFB\\u3004\\u3012\\u3013\\u3020\\u3036\\u3037\\u303E\\u303F\\u309B\\u309C\\u3190\\u3191\\u3196-\\u319F\\u31C0-\\u31E3\\u3200-\\u321E\\u322A-\\u3247\\u3250\\u3260-\\u327F\\u328A-\\u32B0\\u32C0-\\u33FF\\u4DC0-\\u4DFF\\uA490-\\uA4C6\\uA700-\\uA716\\uA720\\uA721\\uA789\\uA78A\\uA828-\\uA82B\\uA836-\\uA839\\uAA77-\\uAA79\\uAB5B\\uAB6A\\uAB6B\\uFB29\\uFBB2-\\uFBC1\\uFDFC\\uFDFD\\uFE62\\uFE64-\\uFE66\\uFE69\\uFF04\\uFF0B\\uFF1C-\\uFF1E\\uFF3E\\uFF40\\uFF5C\\uFF5E\\uFFE0-\\uFFE6\\uFFE8-\\uFFEE\\uFFFC\\uFFFD]|\\uD800[\\uDD37-\\uDD3F\\uDD79-\\uDD89\\uDD8C-\\uDD8E\\uDD90-\\uDD9C\\uDDA0\\uDDD0-\\uDDFC]|\\uD802[\\uDC77\\uDC78\\uDEC8]|\\uD805\\uDF3F|\\uD807[\\uDFD5-\\uDFF1]|\\uD81A[\\uDF3C-\\uDF3F\\uDF45]|\\uD82F\\uDC9C|\\uD834[\\uDC00-\\uDCF5\\uDD00-\\uDD26\\uDD29-\\uDD64\\uDD6A-\\uDD6C\\uDD83\\uDD84\\uDD8C-\\uDDA9\\uDDAE-\\uDDE8\\uDE00-\\uDE41\\uDE45\\uDF00-\\uDF56]|\\uD835[\\uDEC1\\uDEDB\\uDEFB\\uDF15\\uDF35\\uDF4F\\uDF6F\\uDF89\\uDFA9\\uDFC3]|\\uD836[\\uDC00-\\uDDFF\\uDE37-\\uDE3A\\uDE6D-\\uDE74\\uDE76-\\uDE83\\uDE85\\uDE86]|\\uD838[\\uDD4F\\uDEFF]|\\uD83B[\\uDCAC\\uDCB0\\uDD2E\\uDEF0\\uDEF1]|\\uD83C[\\uDC00-\\uDC2B\\uDC30-\\uDC93\\uDCA0-\\uDCAE\\uDCB1-\\uDCBF\\uDCC1-\\uDCCF\\uDCD1-\\uDCF5\\uDD0D-\\uDDAD\\uDDE6-\\uDE02\\uDE10-\\uDE3B\\uDE40-\\uDE48\\uDE50\\uDE51\\uDE60-\\uDE65\\uDF00-\\uDFFF]|\\uD83D[\\uDC00-\\uDED7\\uDEE0-\\uDEEC\\uDEF0-\\uDEFC\\uDF00-\\uDF73\\uDF80-\\uDFD8\\uDFE0-\\uDFEB]|\\uD83E[\\uDC00-\\uDC0B\\uDC10-\\uDC47\\uDC50-\\uDC59\\uDC60-\\uDC87\\uDC90-\\uDCAD\\uDCB0\\uDCB1\\uDD00-\\uDD78\\uDD7A-\\uDDCB\\uDDCD-\\uDE53\\uDE60-\\uDE6D\\uDE70-\\uDE74\\uDE78-\\uDE7A\\uDE80-\\uDE86\\uDE90-\\uDEA8\\uDEB0-\\uDEB6\\uDEC0-\\uDEC2\\uDED0-\\uDED6\\uDF00-\\uDF92\\uDF94-\\uDFCA]/;\n","export var digitMapping = {\n \"adlm\": [\n \"𞥐\",\n \"𞥑\",\n \"𞥒\",\n \"𞥓\",\n \"𞥔\",\n \"𞥕\",\n \"𞥖\",\n \"𞥗\",\n \"𞥘\",\n \"𞥙\"\n ],\n \"ahom\": [\n \"𑜰\",\n \"𑜱\",\n \"𑜲\",\n \"𑜳\",\n \"𑜴\",\n \"𑜵\",\n \"𑜶\",\n \"𑜷\",\n \"𑜸\",\n \"𑜹\"\n ],\n \"arab\": [\n \"٠\",\n \"١\",\n \"٢\",\n \"٣\",\n \"٤\",\n \"٥\",\n \"٦\",\n \"٧\",\n \"٨\",\n \"٩\"\n ],\n \"arabext\": [\n \"۰\",\n \"۱\",\n \"۲\",\n \"۳\",\n \"۴\",\n \"۵\",\n \"۶\",\n \"۷\",\n \"۸\",\n \"۹\"\n ],\n \"bali\": [\n \"᭐\",\n \"᭑\",\n \"᭒\",\n \"᭓\",\n \"᭔\",\n \"᭕\",\n \"᭖\",\n \"᭗\",\n \"᭘\",\n \"᭙\"\n ],\n \"beng\": [\n \"০\",\n \"১\",\n \"২\",\n \"৩\",\n \"৪\",\n \"৫\",\n \"৬\",\n \"৭\",\n \"৮\",\n \"৯\"\n ],\n \"bhks\": [\n \"𑱐\",\n \"𑱑\",\n \"𑱒\",\n \"𑱓\",\n \"𑱔\",\n \"𑱕\",\n \"𑱖\",\n \"𑱗\",\n \"𑱘\",\n \"𑱙\"\n ],\n \"brah\": [\n \"𑁦\",\n \"𑁧\",\n \"𑁨\",\n \"𑁩\",\n \"𑁪\",\n \"𑁫\",\n \"𑁬\",\n \"𑁭\",\n \"𑁮\",\n \"𑁯\"\n ],\n \"cakm\": [\n \"𑄶\",\n \"𑄷\",\n \"𑄸\",\n \"𑄹\",\n \"𑄺\",\n \"𑄻\",\n \"𑄼\",\n \"𑄽\",\n \"𑄾\",\n \"𑄿\"\n ],\n \"cham\": [\n \"꩐\",\n \"꩑\",\n \"꩒\",\n \"꩓\",\n \"꩔\",\n \"꩕\",\n \"꩖\",\n \"꩗\",\n \"꩘\",\n \"꩙\"\n ],\n \"deva\": [\n \"०\",\n \"१\",\n \"२\",\n \"३\",\n \"४\",\n \"५\",\n \"६\",\n \"७\",\n \"८\",\n \"९\"\n ],\n \"diak\": [\n \"𑥐\",\n \"𑥑\",\n \"𑥒\",\n \"𑥓\",\n \"𑥔\",\n \"𑥕\",\n \"𑥖\",\n \"𑥗\",\n \"𑥘\",\n \"𑥙\"\n ],\n \"fullwide\": [\n \"０\",\n \"１\",\n \"２\",\n \"３\",\n \"４\",\n \"５\",\n \"６\",\n \"７\",\n \"８\",\n \"９\"\n ],\n \"gong\": [\n \"𑶠\",\n \"𑶡\",\n \"𑶢\",\n \"𑶣\",\n \"𑶤\",\n \"𑶥\",\n \"𑶦\",\n \"𑶧\",\n \"𑶨\",\n \"𑶩\"\n ],\n \"gonm\": [\n \"𑵐\",\n \"𑵑\",\n \"𑵒\",\n \"𑵓\",\n \"𑵔\",\n \"𑵕\",\n \"𑵖\",\n \"𑵗\",\n \"𑵘\",\n \"𑵙\"\n ],\n \"gujr\": [\n \"૦\",\n \"૧\",\n \"૨\",\n \"૩\",\n \"૪\",\n \"૫\",\n \"૬\",\n \"૭\",\n \"૮\",\n \"૯\"\n ],\n \"guru\": [\n \"੦\",\n \"੧\",\n \"੨\",\n \"੩\",\n \"੪\",\n \"੫\",\n \"੬\",\n \"੭\",\n \"੮\",\n \"੯\"\n ],\n \"hanidec\": [\n \"〇\",\n \"一\",\n \"二\",\n \"三\",\n \"四\",\n \"五\",\n \"六\",\n \"七\",\n \"八\",\n \"九\"\n ],\n \"hmng\": [\n \"𖭐\",\n \"𖭑\",\n \"𖭒\",\n \"𖭓\",\n \"𖭔\",\n \"𖭕\",\n \"𖭖\",\n \"𖭗\",\n \"𖭘\",\n \"𖭙\"\n ],\n \"hmnp\": [\n \"𞅀\",\n \"𞅁\",\n \"𞅂\",\n \"𞅃\",\n \"𞅄\",\n \"𞅅\",\n \"𞅆\",\n \"𞅇\",\n \"𞅈\",\n \"𞅉\"\n ],\n \"java\": [\n \"꧐\",\n \"꧑\",\n \"꧒\",\n \"꧓\",\n \"꧔\",\n \"꧕\",\n \"꧖\",\n \"꧗\",\n \"꧘\",\n \"꧙\"\n ],\n \"kali\": [\n \"꤀\",\n \"꤁\",\n \"꤂\",\n \"꤃\",\n \"꤄\",\n \"꤅\",\n \"꤆\",\n \"꤇\",\n \"꤈\",\n \"꤉\"\n ],\n \"khmr\": [\n \"០\",\n \"១\",\n \"២\",\n \"៣\",\n \"៤\",\n \"៥\",\n \"៦\",\n \"៧\",\n \"៨\",\n \"៩\"\n ],\n \"knda\": [\n \"೦\",\n \"೧\",\n \"೨\",\n \"೩\",\n \"೪\",\n \"೫\",\n \"೬\",\n \"೭\",\n \"೮\",\n \"೯\"\n ],\n \"lana\": [\n \"᪀\",\n \"᪁\",\n \"᪂\",\n \"᪃\",\n \"᪄\",\n \"᪅\",\n \"᪆\",\n \"᪇\",\n \"᪈\",\n \"᪉\"\n ],\n \"lanatham\": [\n \"᪐\",\n \"᪑\",\n \"᪒\",\n \"᪓\",\n \"᪔\",\n \"᪕\",\n \"᪖\",\n \"᪗\",\n \"᪘\",\n \"᪙\"\n ],\n \"laoo\": [\n \"໐\",\n \"໑\",\n \"໒\",\n \"໓\",\n \"໔\",\n \"໕\",\n \"໖\",\n \"໗\",\n \"໘\",\n \"໙\"\n ],\n \"lepc\": [\n \"᪐\",\n \"᪑\",\n \"᪒\",\n \"᪓\",\n \"᪔\",\n \"᪕\",\n \"᪖\",\n \"᪗\",\n \"᪘\",\n \"᪙\"\n ],\n \"limb\": [\n \"᥆\",\n \"᥇\",\n \"᥈\",\n \"᥉\",\n \"᥊\",\n \"᥋\",\n \"᥌\",\n \"᥍\",\n \"᥎\",\n \"᥏\"\n ],\n \"mathbold\": [\n \"𝟎\",\n \"𝟏\",\n \"𝟐\",\n \"𝟑\",\n \"𝟒\",\n \"𝟓\",\n \"𝟔\",\n \"𝟕\",\n \"𝟖\",\n \"𝟗\"\n ],\n \"mathdbl\": [\n \"𝟘\",\n \"𝟙\",\n \"𝟚\",\n \"𝟛\",\n \"𝟜\",\n \"𝟝\",\n \"𝟞\",\n \"𝟟\",\n \"𝟠\",\n \"𝟡\"\n ],\n \"mathmono\": [\n \"𝟶\",\n \"𝟷\",\n \"𝟸\",\n \"𝟹\",\n \"𝟺\",\n \"𝟻\",\n \"𝟼\",\n \"𝟽\",\n \"𝟾\",\n \"𝟿\"\n ],\n \"mathsanb\": [\n \"𝟬\",\n \"𝟭\",\n \"𝟮\",\n \"𝟯\",\n \"𝟰\",\n \"𝟱\",\n \"𝟲\",\n \"𝟳\",\n \"𝟴\",\n \"𝟵\"\n ],\n \"mathsans\": [\n \"𝟢\",\n \"𝟣\",\n \"𝟤\",\n \"𝟥\",\n \"𝟦\",\n \"𝟧\",\n \"𝟨\",\n \"𝟩\",\n \"𝟪\",\n \"𝟫\"\n ],\n \"mlym\": [\n \"൦\",\n \"൧\",\n \"൨\",\n \"൩\",\n \"൪\",\n \"൫\",\n \"൬\",\n \"൭\",\n \"൮\",\n \"൯\"\n ],\n \"modi\": [\n \"𑙐\",\n \"𑙑\",\n \"𑙒\",\n \"𑙓\",\n \"𑙔\",\n \"𑙕\",\n \"𑙖\",\n \"𑙗\",\n \"𑙘\",\n \"𑙙\"\n ],\n \"mong\": [\n \"᠐\",\n \"᠑\",\n \"᠒\",\n \"᠓\",\n \"᠔\",\n \"᠕\",\n \"᠖\",\n \"᠗\",\n \"᠘\",\n \"᠙\"\n ],\n \"mroo\": [\n \"𖩠\",\n \"𖩡\",\n \"𖩢\",\n \"𖩣\",\n \"𖩤\",\n \"𖩥\",\n \"𖩦\",\n \"𖩧\",\n \"𖩨\",\n \"𖩩\"\n ],\n \"mtei\": [\n \"꯰\",\n \"꯱\",\n \"꯲\",\n \"꯳\",\n \"꯴\",\n \"꯵\",\n \"꯶\",\n \"꯷\",\n \"꯸\",\n \"꯹\"\n ],\n \"mymr\": [\n \"၀\",\n \"၁\",\n \"၂\",\n \"၃\",\n \"၄\",\n \"၅\",\n \"၆\",\n \"၇\",\n \"၈\",\n \"၉\"\n ],\n \"mymrshan\": [\n \"႐\",\n \"႑\",\n \"႒\",\n \"႓\",\n \"႔\",\n \"႕\",\n \"႖\",\n \"႗\",\n \"႘\",\n \"႙\"\n ],\n \"mymrtlng\": [\n \"꧰\",\n \"꧱\",\n \"꧲\",\n \"꧳\",\n \"꧴\",\n \"꧵\",\n \"꧶\",\n \"꧷\",\n \"꧸\",\n \"꧹\"\n ],\n \"newa\": [\n \"𑑐\",\n \"𑑑\",\n \"𑑒\",\n \"𑑓\",\n \"𑑔\",\n \"𑑕\",\n \"𑑖\",\n \"𑑗\",\n \"𑑘\",\n \"𑑙\"\n ],\n \"nkoo\": [\n \"߀\",\n \"߁\",\n \"߂\",\n \"߃\",\n \"߄\",\n \"߅\",\n \"߆\",\n \"߇\",\n \"߈\",\n \"߉\"\n ],\n \"olck\": [\n \"᱐\",\n \"᱑\",\n \"᱒\",\n \"᱓\",\n \"᱔\",\n \"᱕\",\n \"᱖\",\n \"᱗\",\n \"᱘\",\n \"᱙\"\n ],\n \"orya\": [\n \"୦\",\n \"୧\",\n \"୨\",\n \"୩\",\n \"୪\",\n \"୫\",\n \"୬\",\n \"୭\",\n \"୮\",\n \"୯\"\n ],\n \"osma\": [\n \"𐒠\",\n \"𐒡\",\n \"𐒢\",\n \"𐒣\",\n \"𐒤\",\n \"𐒥\",\n \"𐒦\",\n \"𐒧\",\n \"𐒨\",\n \"𐒩\"\n ],\n \"rohg\": [\n \"𐴰\",\n \"𐴱\",\n \"𐴲\",\n \"𐴳\",\n \"𐴴\",\n \"𐴵\",\n \"𐴶\",\n \"𐴷\",\n \"𐴸\",\n \"𐴹\"\n ],\n \"saur\": [\n \"꣐\",\n \"꣑\",\n \"꣒\",\n \"꣓\",\n \"꣔\",\n \"꣕\",\n \"꣖\",\n \"꣗\",\n \"꣘\",\n \"꣙\"\n ],\n \"segment\": [\n \"🯰\",\n \"🯱\",\n \"🯲\",\n \"🯳\",\n \"🯴\",\n \"🯵\",\n \"🯶\",\n \"🯷\",\n \"🯸\",\n \"🯹\"\n ],\n \"shrd\": [\n \"𑇐\",\n \"𑇑\",\n \"𑇒\",\n \"𑇓\",\n \"𑇔\",\n \"𑇕\",\n \"𑇖\",\n \"𑇗\",\n \"𑇘\",\n \"𑇙\"\n ],\n \"sind\": [\n \"𑋰\",\n \"𑋱\",\n \"𑋲\",\n \"𑋳\",\n \"𑋴\",\n \"𑋵\",\n \"𑋶\",\n \"𑋷\",\n \"𑋸\",\n \"𑋹\"\n ],\n \"sinh\": [\n \"෦\",\n \"෧\",\n \"෨\",\n \"෩\",\n \"෪\",\n \"෫\",\n \"෬\",\n \"෭\",\n \"෮\",\n \"෯\"\n ],\n \"sora\": [\n \"𑃰\",\n \"𑃱\",\n \"𑃲\",\n \"𑃳\",\n \"𑃴\",\n \"𑃵\",\n \"𑃶\",\n \"𑃷\",\n \"𑃸\",\n \"𑃹\"\n ],\n \"sund\": [\n \"᮰\",\n \"᮱\",\n \"᮲\",\n \"᮳\",\n \"᮴\",\n \"᮵\",\n \"᮶\",\n \"᮷\",\n \"᮸\",\n \"᮹\"\n ],\n \"takr\": [\n \"𑛀\",\n \"𑛁\",\n \"𑛂\",\n \"𑛃\",\n \"𑛄\",\n \"𑛅\",\n \"𑛆\",\n \"𑛇\",\n \"𑛈\",\n \"𑛉\"\n ],\n \"talu\": [\n \"᧐\",\n \"᧑\",\n \"᧒\",\n \"᧓\",\n \"᧔\",\n \"᧕\",\n \"᧖\",\n \"᧗\",\n \"᧘\",\n \"᧙\"\n ],\n \"tamldec\": [\n \"௦\",\n \"௧\",\n \"௨\",\n \"௩\",\n \"௪\",\n \"௫\",\n \"௬\",\n \"௭\",\n \"௮\",\n \"௯\"\n ],\n \"telu\": [\n \"౦\",\n \"౧\",\n \"౨\",\n \"౩\",\n \"౪\",\n \"౫\",\n \"౬\",\n \"౭\",\n \"౮\",\n \"౯\"\n ],\n \"thai\": [\n \"๐\",\n \"๑\",\n \"๒\",\n \"๓\",\n \"๔\",\n \"๕\",\n \"๖\",\n \"๗\",\n \"๘\",\n \"๙\"\n ],\n \"tibt\": [\n \"༠\",\n \"༡\",\n \"༢\",\n \"༣\",\n \"༤\",\n \"༥\",\n \"༦\",\n \"༧\",\n \"༨\",\n \"༩\"\n ],\n \"tirh\": [\n \"𑓐\",\n \"𑓑\",\n \"𑓒\",\n \"𑓓\",\n \"𑓔\",\n \"𑓕\",\n \"𑓖\",\n \"𑓗\",\n \"𑓘\",\n \"𑓙\"\n ],\n \"vaii\": [\n \"ᘠ\",\n \"ᘡ\",\n \"ᘢ\",\n \"ᘣ\",\n \"ᘤ\",\n \"ᘥ\",\n \"ᘦ\",\n \"ᘧ\",\n \"ᘨ\",\n \"ᘩ\"\n ],\n \"wara\": [\n \"𑣠\",\n \"𑣡\",\n \"𑣢\",\n \"𑣣\",\n \"𑣤\",\n \"𑣥\",\n \"𑣦\",\n \"𑣧\",\n \"𑣨\",\n \"𑣩\"\n ],\n \"wcho\": [\n \"𞋰\",\n \"𞋱\",\n \"𞋲\",\n \"𞋳\",\n \"𞋴\",\n \"𞋵\",\n \"𞋶\",\n \"𞋷\",\n \"𞋸\",\n \"𞋹\"\n ]\n};\n","import Decimal from 'decimal.js';\nimport { TEN } from '../constants';\nimport { S_UNICODE_REGEX } from '../regex.generated';\nimport { digitMapping } from './digit-mapping.generated';\nimport { GetUnsignedRoundingMode } from './GetUnsignedRoundingMode';\nimport { ToRawFixed } from './ToRawFixed';\n// This is from: unicode-12.1.0/General_Category/Symbol/regex.js\n// IE11 does not support unicode flag, otherwise this is just /\\p{S}/u.\n// /^\\p{S}/u\nvar CARET_S_UNICODE_REGEX = new RegExp(\"^\".concat(S_UNICODE_REGEX.source));\n// /\\p{S}$/u\nvar S_DOLLAR_UNICODE_REGEX = new RegExp(\"\".concat(S_UNICODE_REGEX.source, \"$\"));\nvar CLDR_NUMBER_PATTERN = /[#0](?:[\\.,][#0]+)*/g;\nexport default function formatToParts(numberResult, data, pl, options) {\n var _a;\n var sign = numberResult.sign, exponent = numberResult.exponent, magnitude = numberResult.magnitude;\n var notation = options.notation, style = options.style, numberingSystem = options.numberingSystem;\n var defaultNumberingSystem = data.numbers.nu[0];\n // #region Part 1: partition and interpolate the CLDR number pattern.\n // ----------------------------------------------------------\n var compactNumberPattern = null;\n if (notation === 'compact' && magnitude) {\n compactNumberPattern = getCompactDisplayPattern(numberResult, pl, data, style, options.compactDisplay, options.currencyDisplay, numberingSystem);\n }\n // This is used multiple times\n var nonNameCurrencyPart;\n if (style === 'currency' && options.currencyDisplay !== 'name') {\n var byCurrencyDisplay = data.currencies[options.currency];\n if (byCurrencyDisplay) {\n switch (options.currencyDisplay) {\n case 'code':\n nonNameCurrencyPart = options.currency;\n break;\n case 'symbol':\n nonNameCurrencyPart = byCurrencyDisplay.symbol;\n break;\n default:\n nonNameCurrencyPart = byCurrencyDisplay.narrow;\n break;\n }\n }\n else {\n // Fallback for unknown currency\n nonNameCurrencyPart = options.currency;\n }\n }\n var numberPattern;\n if (!compactNumberPattern) {\n // Note: if the style is unit, or is currency and the currency display is name,\n // its unit parts will be interpolated in part 2. So here we can fallback to decimal.\n if (style === 'decimal' ||\n style === 'unit' ||\n (style === 'currency' && options.currencyDisplay === 'name')) {\n // Shortcut for decimal\n var decimalData = data.numbers.decimal[numberingSystem] ||\n data.numbers.decimal[defaultNumberingSystem];\n numberPattern = getPatternForSign(decimalData.standard, sign);\n }\n else if (style === 'currency') {\n var currencyData = data.numbers.currency[numberingSystem] ||\n data.numbers.currency[defaultNumberingSystem];\n // We replace number pattern part with `0` for easier postprocessing.\n numberPattern = getPatternForSign(currencyData[options.currencySign], sign);\n }\n else {\n // percent\n var percentPattern = data.numbers.percent[numberingSystem] ||\n data.numbers.percent[defaultNumberingSystem];\n numberPattern = getPatternForSign(percentPattern, sign);\n }\n }\n else {\n numberPattern = compactNumberPattern;\n }\n // Extract the decimal number pattern string. It looks like \"#,##0,00\", which will later be\n // used to infer decimal group sizes.\n var decimalNumberPattern = CLDR_NUMBER_PATTERN.exec(numberPattern)[0];\n // Now we start to substitute patterns\n // 1. replace strings like `0` and `#,##0.00` with `{0}`\n // 2. unquote characters (invariant: the quoted characters does not contain the special tokens)\n numberPattern = numberPattern\n .replace(CLDR_NUMBER_PATTERN, '{0}')\n .replace(/'(.)'/g, '$1');\n // Handle currency spacing (both compact and non-compact).\n if (style === 'currency' && options.currencyDisplay !== 'name') {\n var currencyData = data.numbers.currency[numberingSystem] ||\n data.numbers.currency[defaultNumberingSystem];\n // See `currencySpacing` substitution rule in TR-35.\n // Here we always assume the currencyMatch is \"[:^S:]\" and surroundingMatch is \"[:digit:]\".\n //\n // Example 1: for pattern \"#,##0.00¤\" with symbol \"US$\", we replace \"¤\" with the symbol,\n // but insert an extra non-break space before the symbol, because \"[:^S:]\" matches \"U\" in\n // \"US$\" and \"[:digit:]\" matches the latn numbering system digits.\n //\n // Example 2: for pattern \"¤#,##0.00\" with symbol \"US$\", there is no spacing between symbol\n // and number, because `$` does not match \"[:^S:]\".\n //\n // Implementation note: here we do the best effort to infer the insertion.\n // We also assume that `beforeInsertBetween` and `afterInsertBetween` will never be `;`.\n var afterCurrency = currencyData.currencySpacing.afterInsertBetween;\n if (afterCurrency && !S_DOLLAR_UNICODE_REGEX.test(nonNameCurrencyPart)) {\n numberPattern = numberPattern.replace('¤{0}', \"\\u00A4\".concat(afterCurrency, \"{0}\"));\n }\n var beforeCurrency = currencyData.currencySpacing.beforeInsertBetween;\n if (beforeCurrency && !CARET_S_UNICODE_REGEX.test(nonNameCurrencyPart)) {\n numberPattern = numberPattern.replace('{0}¤', \"{0}\".concat(beforeCurrency, \"\\u00A4\"));\n }\n }\n // The following tokens are special: `{0}`, `¤`, `%`, `-`, `+`, `{c:...}.\n var numberPatternParts = numberPattern.split(/({c:[^}]+}|\\{0\\}|[¤%\\-\\+])/g);\n var numberParts = [];\n var symbols = data.numbers.symbols[numberingSystem] ||\n data.numbers.symbols[defaultNumberingSystem];\n for (var _i = 0, numberPatternParts_1 = numberPatternParts; _i < numberPatternParts_1.length; _i++) {\n var part = numberPatternParts_1[_i];\n if (!part) {\n continue;\n }\n switch (part) {\n case '{0}': {\n // We only need to handle scientific and engineering notation here.\n numberParts.push.apply(numberParts, partitionNumberIntoParts(symbols, numberResult, notation, exponent, numberingSystem, \n // If compact number pattern exists, do not insert group separators.\n !compactNumberPattern && ((_a = options.useGrouping) !== null && _a !== void 0 ? _a : true), decimalNumberPattern, style, options.roundingIncrement, GetUnsignedRoundingMode(options.roundingMode, sign === -1)));\n break;\n }\n case '-':\n numberParts.push({ type: 'minusSign', value: symbols.minusSign });\n break;\n case '+':\n numberParts.push({ type: 'plusSign', value: symbols.plusSign });\n break;\n case '%':\n numberParts.push({ type: 'percentSign', value: symbols.percentSign });\n break;\n case '¤':\n // Computed above when handling currency spacing.\n numberParts.push({ type: 'currency', value: nonNameCurrencyPart });\n break;\n default:\n if (/^\\{c:/.test(part)) {\n numberParts.push({\n type: 'compact',\n value: part.substring(3, part.length - 1),\n });\n }\n else {\n // literal\n numberParts.push({ type: 'literal', value: part });\n }\n break;\n }\n }\n // #endregion\n // #region Part 2: interpolate unit pattern if necessary.\n // ----------------------------------------------\n switch (style) {\n case 'currency': {\n // `currencyDisplay: 'name'` has similar pattern handling as units.\n if (options.currencyDisplay === 'name') {\n var unitPattern = (data.numbers.currency[numberingSystem] ||\n data.numbers.currency[defaultNumberingSystem]).unitPattern;\n // Select plural\n var unitName = void 0;\n var currencyNameData = data.currencies[options.currency];\n if (currencyNameData) {\n unitName = selectPlural(pl, numberResult.roundedNumber.times(TEN.pow(exponent)).toNumber(), currencyNameData.displayName);\n }\n else {\n // Fallback for unknown currency\n unitName = options.currency;\n }\n // Do {0} and {1} substitution\n var unitPatternParts = unitPattern.split(/(\\{[01]\\})/g);\n var result = [];\n for (var _b = 0, unitPatternParts_1 = unitPatternParts; _b < unitPatternParts_1.length; _b++) {\n var part = unitPatternParts_1[_b];\n switch (part) {\n case '{0}':\n result.push.apply(result, numberParts);\n break;\n case '{1}':\n result.push({ type: 'currency', value: unitName });\n break;\n default:\n if (part) {\n result.push({ type: 'literal', value: part });\n }\n break;\n }\n }\n return result;\n }\n else {\n return numberParts;\n }\n }\n case 'unit': {\n var unit = options.unit, unitDisplay = options.unitDisplay;\n var unitData = data.units.simple[unit];\n var unitPattern = void 0;\n if (unitData) {\n // Simple unit pattern\n unitPattern = selectPlural(pl, numberResult.roundedNumber.times(TEN.pow(exponent)).toNumber(), data.units.simple[unit][unitDisplay]);\n }\n else {\n // See: http://unicode.org/reports/tr35/tr35-general.html#perUnitPatterns\n // If cannot find unit in the simple pattern, it must be \"per\" compound pattern.\n // Implementation note: we are not following TR-35 here because we need to format to parts!\n var _c = unit.split('-per-'), numeratorUnit = _c[0], denominatorUnit = _c[1];\n unitData = data.units.simple[numeratorUnit];\n var numeratorUnitPattern = selectPlural(pl, numberResult.roundedNumber.times(TEN.pow(exponent)).toNumber(), data.units.simple[numeratorUnit][unitDisplay]);\n var perUnitPattern = data.units.simple[denominatorUnit].perUnit[unitDisplay];\n if (perUnitPattern) {\n // perUnitPattern exists, combine it with numeratorUnitPattern\n unitPattern = perUnitPattern.replace('{0}', numeratorUnitPattern);\n }\n else {\n // get compoundUnit pattern (e.g. \"{0} per {1}\"), repalce {0} with numerator pattern and {1} with\n // the denominator pattern in singular form.\n var perPattern = data.units.compound.per[unitDisplay];\n var denominatorPattern = selectPlural(pl, 1, data.units.simple[denominatorUnit][unitDisplay]);\n unitPattern = unitPattern = perPattern\n .replace('{0}', numeratorUnitPattern)\n .replace('{1}', denominatorPattern.replace('{0}', ''));\n }\n }\n var result = [];\n // We need spacing around \"{0}\" because they are not treated as \"unit\" parts, but \"literal\".\n for (var _d = 0, _e = unitPattern.split(/(\\s*\\{0\\}\\s*)/); _d < _e.length; _d++) {\n var part = _e[_d];\n var interpolateMatch = /^(\\s*)\\{0\\}(\\s*)$/.exec(part);\n if (interpolateMatch) {\n // Space before \"{0}\"\n if (interpolateMatch[1]) {\n result.push({ type: 'literal', value: interpolateMatch[1] });\n }\n // \"{0}\" itself\n result.push.apply(result, numberParts);\n // Space after \"{0}\"\n if (interpolateMatch[2]) {\n result.push({ type: 'literal', value: interpolateMatch[2] });\n }\n }\n else if (part) {\n result.push({ type: 'unit', value: part });\n }\n }\n return result;\n }\n default:\n return numberParts;\n }\n // #endregion\n}\n// A subset of https://tc39.es/ecma402/#sec-partitionnotationsubpattern\n// Plus the exponent parts handling.\nfunction partitionNumberIntoParts(symbols, numberResult, notation, exponent, numberingSystem, useGrouping, \n/**\n * This is the decimal number pattern without signs or symbols.\n * It is used to infer the group size when `useGrouping` is true.\n *\n * A typical value looks like \"#,##0.00\" (primary group size is 3).\n * Some locales like Hindi has secondary group size of 2 (e.g. \"#,##,##0.00\").\n */\ndecimalNumberPattern, style, roundingIncrement, unsignedRoundingMode) {\n var result = [];\n // eslint-disable-next-line prefer-const\n var n = numberResult.formattedString, x = numberResult.roundedNumber;\n if (x.isNaN()) {\n return [{ type: 'nan', value: n }];\n }\n else if (!x.isFinite()) {\n return [{ type: 'infinity', value: n }];\n }\n var digitReplacementTable = digitMapping[numberingSystem];\n if (digitReplacementTable) {\n n = n.replace(/\\d/g, function (digit) { return digitReplacementTable[+digit] || digit; });\n }\n // TODO: Else use an implementation dependent algorithm to map n to the appropriate\n // representation of n in the given numbering system.\n var decimalSepIndex = n.indexOf('.');\n var integer;\n var fraction;\n if (decimalSepIndex > 0) {\n integer = n.slice(0, decimalSepIndex);\n fraction = n.slice(decimalSepIndex + 1);\n }\n else {\n integer = n;\n }\n // #region Grouping integer digits\n // The weird compact and x >= 10000 check is to ensure consistency with Node.js and Chrome.\n // Note that `de` does not have compact form for thousands, but Node.js does not insert grouping separator\n // unless the rounded number is greater than 10000:\n // NumberFormat('de', {notation: 'compact', compactDisplay: 'short'}).format(1234) //=> \"1234\"\n // NumberFormat('de').format(1234) //=> \"1.234\"\n var shouldUseGrouping = false;\n if (useGrouping === 'always') {\n shouldUseGrouping = true;\n }\n else if (useGrouping === 'min2') {\n shouldUseGrouping = x.greaterThanOrEqualTo(10000);\n }\n else if (useGrouping === 'auto' || useGrouping) {\n shouldUseGrouping = notation !== 'compact' || x.greaterThanOrEqualTo(10000);\n }\n if (shouldUseGrouping) {\n // a. Let groupSepSymbol be the implementation-, locale-, and numbering system-dependent (ILND) String representing the grouping separator.\n // For currency we should use `currencyGroup` instead of generic `group`\n var groupSepSymbol = style === 'currency' && symbols.currencyGroup != null\n ? symbols.currencyGroup\n : symbols.group;\n var groups = [];\n // > There may be two different grouping sizes: The primary grouping size used for the least\n // > significant integer group, and the secondary grouping size used for more significant groups.\n // > If a pattern contains multiple grouping separators, the interval between the last one and the\n // > end of the integer defines the primary grouping size, and the interval between the last two\n // > defines the secondary grouping size. All others are ignored.\n var integerNumberPattern = decimalNumberPattern.split('.')[0];\n var patternGroups = integerNumberPattern.split(',');\n var primaryGroupingSize = 3;\n var secondaryGroupingSize = 3;\n if (patternGroups.length > 1) {\n primaryGroupingSize = patternGroups[patternGroups.length - 1].length;\n }\n if (patternGroups.length > 2) {\n secondaryGroupingSize = patternGroups[patternGroups.length - 2].length;\n }\n var i = integer.length - primaryGroupingSize;\n if (i > 0) {\n // Slice the least significant integer group\n groups.push(integer.slice(i, i + primaryGroupingSize));\n // Then iteratively push the more signicant groups\n // TODO: handle surrogate pairs in some numbering system digits\n for (i -= secondaryGroupingSize; i > 0; i -= secondaryGroupingSize) {\n groups.push(integer.slice(i, i + secondaryGroupingSize));\n }\n groups.push(integer.slice(0, i + secondaryGroupingSize));\n }\n else {\n groups.push(integer);\n }\n while (groups.length > 0) {\n var integerGroup = groups.pop();\n result.push({ type: 'integer', value: integerGroup });\n if (groups.length > 0) {\n result.push({ type: 'group', value: groupSepSymbol });\n }\n }\n }\n else {\n result.push({ type: 'integer', value: integer });\n }\n // #endregion\n if (fraction !== undefined) {\n var decimalSepSymbol = style === 'currency' && symbols.currencyDecimal != null\n ? symbols.currencyDecimal\n : symbols.decimal;\n result.push({ type: 'decimal', value: decimalSepSymbol }, { type: 'fraction', value: fraction });\n }\n if ((notation === 'scientific' || notation === 'engineering') &&\n x.isFinite()) {\n result.push({ type: 'exponentSeparator', value: symbols.exponential });\n if (exponent < 0) {\n result.push({ type: 'exponentMinusSign', value: symbols.minusSign });\n exponent = -exponent;\n }\n var exponentResult = ToRawFixed(new Decimal(exponent), 0, 0, roundingIncrement, unsignedRoundingMode);\n result.push({\n type: 'exponentInteger',\n value: exponentResult.formattedString,\n });\n }\n return result;\n}\nfunction getPatternForSign(pattern, sign) {\n if (pattern.indexOf(';') < 0) {\n pattern = \"\".concat(pattern, \";-\").concat(pattern);\n }\n var _a = pattern.split(';'), zeroPattern = _a[0], negativePattern = _a[1];\n switch (sign) {\n case 0:\n return zeroPattern;\n case -1:\n return negativePattern;\n default:\n return negativePattern.indexOf('-') >= 0\n ? negativePattern.replace(/-/g, '+')\n : \"+\".concat(zeroPattern);\n }\n}\n// Find the CLDR pattern for compact notation based on the magnitude of data and style.\n//\n// Example return value: \"¤ {c:laki}000;¤{c:laki} -0\" (`sw` locale):\n// - Notice the `{c:...}` token that wraps the compact literal.\n// - The consecutive zeros are normalized to single zero to match CLDR_NUMBER_PATTERN.\n//\n// Returning null means the compact display pattern cannot be found.\nfunction getCompactDisplayPattern(numberResult, pl, data, style, compactDisplay, currencyDisplay, numberingSystem) {\n var _a;\n var roundedNumber = numberResult.roundedNumber, sign = numberResult.sign, magnitude = numberResult.magnitude;\n var magnitudeKey = String(Math.pow(10, magnitude));\n var defaultNumberingSystem = data.numbers.nu[0];\n var pattern;\n if (style === 'currency' && currencyDisplay !== 'name') {\n var byNumberingSystem = data.numbers.currency;\n var currencyData = byNumberingSystem[numberingSystem] ||\n byNumberingSystem[defaultNumberingSystem];\n // NOTE: compact notation ignores currencySign!\n var compactPluralRules = (_a = currencyData.short) === null || _a === void 0 ? void 0 : _a[magnitudeKey];\n if (!compactPluralRules) {\n return null;\n }\n pattern = selectPlural(pl, roundedNumber.toNumber(), compactPluralRules);\n }\n else {\n var byNumberingSystem = data.numbers.decimal;\n var byCompactDisplay = byNumberingSystem[numberingSystem] ||\n byNumberingSystem[defaultNumberingSystem];\n var compactPlaralRule = byCompactDisplay[compactDisplay][magnitudeKey];\n if (!compactPlaralRule) {\n return null;\n }\n pattern = selectPlural(pl, roundedNumber.toNumber(), compactPlaralRule);\n }\n // See https://unicode.org/reports/tr35/tr35-numbers.html#Compact_Number_Formats\n // > If the value is precisely “0”, either explicit or defaulted, then the normal number format\n // > pattern for that sort of object is supplied.\n if (pattern === '0') {\n return null;\n }\n pattern = getPatternForSign(pattern, sign)\n // Extract compact literal from the pattern\n .replace(/([^\\s;\\-\\+\\d¤]+)/g, '{c:$1}')\n // We replace one or more zeros with a single zero so it matches `CLDR_NUMBER_PATTERN`.\n .replace(/0+/, '0');\n return pattern;\n}\nfunction selectPlural(pl, x, rules) {\n return rules[pl.select(x)] || rules.other;\n}\n","/**\n * https://tc39.es/ecma402/#sec-formatapproximately\n */\nexport function FormatApproximately(numberFormat, result, _a) {\n var getInternalSlots = _a.getInternalSlots;\n var internalSlots = getInternalSlots(numberFormat);\n var symbols = internalSlots.dataLocaleData.numbers.symbols[internalSlots.numberingSystem];\n var approximatelySign = symbols.approximatelySign;\n result.push({ type: 'approximatelySign', value: approximatelySign });\n return result;\n}\n","import { TEN } from '../constants';\nimport { invariant } from '../utils';\nimport { ComputeExponent } from './ComputeExponent';\nimport formatToParts from './format_to_parts';\nimport { FormatNumericToString } from './FormatNumericToString';\n/**\n * https://tc39.es/ecma402/#sec-formatnumberstring\n */\nexport function PartitionNumberPattern(numberFormat, x, _a) {\n var _b;\n var getInternalSlots = _a.getInternalSlots;\n var internalSlots = getInternalSlots(numberFormat);\n var pl = internalSlots.pl, dataLocaleData = internalSlots.dataLocaleData, numberingSystem = internalSlots.numberingSystem;\n var symbols = dataLocaleData.numbers.symbols[numberingSystem] ||\n dataLocaleData.numbers.symbols[dataLocaleData.numbers.nu[0]];\n var magnitude = 0;\n var exponent = 0;\n var n;\n if (x.isNaN()) {\n n = symbols.nan;\n }\n else if (!x.isFinite()) {\n n = symbols.infinity;\n }\n else {\n if (!x.isZero()) {\n invariant(x.isFinite(), 'Input must be a mathematical value');\n if (internalSlots.style == 'percent') {\n x = x.times(100);\n }\n ;\n _b = ComputeExponent(numberFormat, x, {\n getInternalSlots: getInternalSlots,\n }), exponent = _b[0], magnitude = _b[1];\n x = x.times(TEN.pow(-exponent));\n }\n var formatNumberResult = FormatNumericToString(internalSlots, x);\n n = formatNumberResult.formattedString;\n x = formatNumberResult.roundedNumber;\n }\n // Based on https://tc39.es/ecma402/#sec-getnumberformatpattern\n // We need to do this before `x` is rounded.\n var sign;\n var signDisplay = internalSlots.signDisplay;\n switch (signDisplay) {\n case 'never':\n sign = 0;\n break;\n case 'auto':\n if (x.isPositive() || x.isNaN()) {\n sign = 0;\n }\n else {\n sign = -1;\n }\n break;\n case 'always':\n if (x.isPositive() || x.isNaN()) {\n sign = 1;\n }\n else {\n sign = -1;\n }\n break;\n case 'exceptZero':\n if (x.isZero()) {\n sign = 0;\n }\n else if (x.isNegative()) {\n sign = -1;\n }\n else {\n sign = 1;\n }\n break;\n default:\n invariant(signDisplay === 'negative', 'signDisplay must be \"negative\"');\n if (x.isNegative() && !x.isZero()) {\n sign = -1;\n }\n else {\n sign = 0;\n }\n break;\n }\n return formatToParts({ roundedNumber: x, formattedString: n, exponent: exponent, magnitude: magnitude, sign: sign }, internalSlots.dataLocaleData, pl, internalSlots);\n}\n","import { invariant } from '../utils';\nimport { CollapseNumberRange } from './CollapseNumberRange';\nimport { FormatApproximately } from './FormatApproximately';\nimport { PartitionNumberPattern } from './PartitionNumberPattern';\n/**\n * https://tc39.es/ecma402/#sec-partitionnumberrangepattern\n */\nexport function PartitionNumberRangePattern(numberFormat, x, y, _a) {\n var getInternalSlots = _a.getInternalSlots;\n invariant(!x.isNaN() && !y.isNaN(), 'Input must be a number');\n var result = [];\n var xResult = PartitionNumberPattern(numberFormat, x, { getInternalSlots: getInternalSlots });\n var yResult = PartitionNumberPattern(numberFormat, y, { getInternalSlots: getInternalSlots });\n if (xResult === yResult) {\n return FormatApproximately(numberFormat, xResult, { getInternalSlots: getInternalSlots });\n }\n for (var _i = 0, xResult_1 = xResult; _i < xResult_1.length; _i++) {\n var r = xResult_1[_i];\n r.source = 'startRange';\n }\n result = result.concat(xResult);\n var internalSlots = getInternalSlots(numberFormat);\n var symbols = internalSlots.dataLocaleData.numbers.symbols[internalSlots.numberingSystem];\n result.push({ type: 'literal', value: symbols.rangeSign, source: 'shared' });\n for (var _b = 0, yResult_1 = yResult; _b < yResult_1.length; _b++) {\n var r = yResult_1[_b];\n r.source = 'endRange';\n }\n result = result.concat(yResult);\n return CollapseNumberRange(numberFormat, result, { getInternalSlots: getInternalSlots });\n // TODO: Needs to implement Range Pattern Processing https://unicode-org.github.io/cldr/ldml/tr35-numbers.html#range-pattern-processing\n}\n","import { PartitionNumberRangePattern } from './PartitionNumberRangePattern';\n/**\n * https://tc39.es/ecma402/#sec-formatnumericrange\n */\nexport function FormatNumericRange(numberFormat, x, y, _a) {\n var getInternalSlots = _a.getInternalSlots;\n var parts = PartitionNumberRangePattern(numberFormat, x, y, {\n getInternalSlots: getInternalSlots,\n });\n return parts.map(function (part) { return part.value; }).join('');\n}\n","import { PartitionNumberRangePattern } from './PartitionNumberRangePattern';\n/**\n * https://tc39.es/ecma402/#sec-formatnumericrangetoparts\n */\nexport function FormatNumericRangeToParts(numberFormat, x, y, _a) {\n var getInternalSlots = _a.getInternalSlots;\n var parts = PartitionNumberRangePattern(numberFormat, x, y, {\n getInternalSlots: getInternalSlots,\n });\n return parts.map(function (part, index) { return ({\n type: part.type,\n value: part.value,\n source: part.source,\n result: index.toString(),\n }); });\n}\n","import { ArrayCreate } from '../262';\nimport { PartitionNumberPattern } from './PartitionNumberPattern';\nexport function FormatNumericToParts(nf, x, implDetails) {\n var parts = PartitionNumberPattern(nf, x, implDetails);\n var result = ArrayCreate(0);\n for (var _i = 0, parts_1 = parts; _i < parts_1.length; _i++) {\n var part = parts_1[_i];\n result.push({\n type: part.type,\n value: part.value,\n });\n }\n return result;\n}\n","import { DefaultNumberOption } from '../DefaultNumberOption';\nimport { GetNumberOption } from '../GetNumberOption';\nimport { GetOption } from '../GetOption';\nimport { invariant } from '../utils';\nvar VALID_ROUNDING_INCREMENTS = new Set([\n 1, 2, 5, 10, 20, 25, 50, 100, 200, 250, 500, 1000, 2000, 2500, 5000,\n]);\n/**\n * https://tc39.es/ecma402/#sec-setnfdigitoptions\n */\nexport function SetNumberFormatDigitOptions(internalSlots, opts, mnfdDefault, mxfdDefault, notation) {\n var mnid = GetNumberOption(opts, 'minimumIntegerDigits', 1, 21, 1);\n var mnfd = opts.minimumFractionDigits;\n var mxfd = opts.maximumFractionDigits;\n var mnsd = opts.minimumSignificantDigits;\n var mxsd = opts.maximumSignificantDigits;\n internalSlots.minimumIntegerDigits = mnid;\n var roundingIncrement = GetNumberOption(opts, 'roundingIncrement', 1, 5000, 1);\n invariant(VALID_ROUNDING_INCREMENTS.has(roundingIncrement), \"Invalid rounding increment value: \".concat(roundingIncrement, \".\\nValid values are \").concat(Array.from(VALID_ROUNDING_INCREMENTS).join(', '), \".\"));\n var roundingMode = GetOption(opts, 'roundingMode', 'string', [\n 'ceil',\n 'floor',\n 'expand',\n 'trunc',\n 'halfCeil',\n 'halfFloor',\n 'halfExpand',\n 'halfTrunc',\n 'halfEven',\n ], 'halfExpand');\n var roundingPriority = GetOption(opts, 'roundingPriority', 'string', ['auto', 'morePrecision', 'lessPrecision'], 'auto');\n var trailingZeroDisplay = GetOption(opts, 'trailingZeroDisplay', 'string', ['auto', 'stripIfInteger'], 'auto');\n if (roundingIncrement !== 1) {\n mxfdDefault = mnfdDefault;\n }\n internalSlots.roundingIncrement = roundingIncrement;\n internalSlots.roundingMode = roundingMode;\n internalSlots.trailingZeroDisplay = trailingZeroDisplay;\n var hasSd = mnsd !== undefined || mxsd !== undefined;\n var hasFd = mnfd !== undefined || mxfd !== undefined;\n var needSd = true;\n var needFd = true;\n if (roundingPriority === 'auto') {\n needSd = hasSd;\n if (hasSd || (!hasFd && notation === 'compact')) {\n needFd = false;\n }\n }\n if (needSd) {\n if (hasSd) {\n internalSlots.minimumSignificantDigits = DefaultNumberOption(mnsd, 1, 21, 1);\n internalSlots.maximumSignificantDigits = DefaultNumberOption(mxsd, internalSlots.minimumSignificantDigits, 21, 21);\n }\n else {\n internalSlots.minimumSignificantDigits = 1;\n internalSlots.maximumSignificantDigits = 21;\n }\n }\n if (needFd) {\n if (hasFd) {\n mnfd = DefaultNumberOption(mnfd, 0, 100, undefined);\n mxfd = DefaultNumberOption(mxfd, 0, 100, undefined);\n if (mnfd === undefined) {\n mnfd = Math.min(mnfdDefault, mxfd !== null && mxfd !== void 0 ? mxfd : 0);\n }\n else if (mxfd === undefined) {\n mxfd = Math.max(mxfdDefault, mnfd);\n }\n else if (mnfd > mxfd) {\n throw new RangeError(\"Invalid range, \".concat(mnfd, \" > \").concat(mxfd));\n }\n internalSlots.minimumFractionDigits = mnfd;\n internalSlots.maximumFractionDigits = mxfd;\n }\n else {\n internalSlots.minimumFractionDigits = mnfdDefault;\n internalSlots.maximumFractionDigits = mxfdDefault;\n }\n }\n if (!needSd && !needFd) {\n internalSlots.minimumFractionDigits = 0;\n internalSlots.maximumFractionDigits = 0;\n internalSlots.minimumSignificantDigits = 1;\n internalSlots.maximumSignificantDigits = 2;\n internalSlots.roundingType = 'morePrecision';\n internalSlots.roundingPriority = 'morePrecision';\n }\n else if (roundingPriority === 'morePrecision') {\n internalSlots.roundingType = 'morePrecision';\n internalSlots.roundingPriority = 'morePrecision';\n }\n else if (roundingPriority === 'lessPrecision') {\n internalSlots.roundingType = 'lessPrecision';\n internalSlots.roundingPriority = 'lessPrecision';\n }\n else if (hasSd) {\n internalSlots.roundingType = 'significantDigits';\n internalSlots.roundingPriority = 'auto';\n }\n else {\n internalSlots.roundingType = 'fractionDigits';\n internalSlots.roundingPriority = 'auto';\n }\n if (roundingIncrement !== 1) {\n invariant(internalSlots.roundingType === 'fractionDigits', 'Invalid roundingType');\n invariant(internalSlots.maximumFractionDigits ===\n internalSlots.minimumFractionDigits, 'With roundingIncrement > 1, maximumFractionDigits and minimumFractionDigits must be equal.');\n }\n}\n","import { GetOption } from '../GetOption';\nimport { IsWellFormedCurrencyCode } from '../IsWellFormedCurrencyCode';\nimport { IsWellFormedUnitIdentifier } from '../IsWellFormedUnitIdentifier';\n/**\n * https://tc39.es/ecma402/#sec-setnumberformatunitoptions\n */\nexport function SetNumberFormatUnitOptions(nf, options, _a) {\n if (options === void 0) { options = Object.create(null); }\n var getInternalSlots = _a.getInternalSlots;\n var internalSlots = getInternalSlots(nf);\n var style = GetOption(options, 'style', 'string', ['decimal', 'percent', 'currency', 'unit'], 'decimal');\n internalSlots.style = style;\n var currency = GetOption(options, 'currency', 'string', undefined, undefined);\n if (currency !== undefined && !IsWellFormedCurrencyCode(currency)) {\n throw RangeError('Malformed currency code');\n }\n if (style === 'currency' && currency === undefined) {\n throw TypeError('currency cannot be undefined');\n }\n var currencyDisplay = GetOption(options, 'currencyDisplay', 'string', ['code', 'symbol', 'narrowSymbol', 'name'], 'symbol');\n var currencySign = GetOption(options, 'currencySign', 'string', ['standard', 'accounting'], 'standard');\n var unit = GetOption(options, 'unit', 'string', undefined, undefined);\n if (unit !== undefined && !IsWellFormedUnitIdentifier(unit)) {\n throw RangeError('Invalid unit argument for Intl.NumberFormat()');\n }\n if (style === 'unit' && unit === undefined) {\n throw TypeError('unit cannot be undefined');\n }\n var unitDisplay = GetOption(options, 'unitDisplay', 'string', ['short', 'narrow', 'long'], 'short');\n if (style === 'currency') {\n internalSlots.currency = currency.toUpperCase();\n internalSlots.currencyDisplay = currencyDisplay;\n internalSlots.currencySign = currencySign;\n }\n if (style === 'unit') {\n internalSlots.unit = unit;\n internalSlots.unitDisplay = unitDisplay;\n }\n}\n","import { ResolveLocale } from '@formatjs/intl-localematcher';\nimport { CanonicalizeLocaleList } from '../CanonicalizeLocaleList';\nimport { CoerceOptionsToObject } from '../CoerceOptionsToObject';\nimport { GetOption } from '../GetOption';\nimport { GetStringOrBooleanOption } from '../GetStringOrBooleanOption';\nimport { invariant } from '../utils';\nimport { CurrencyDigits } from './CurrencyDigits';\nimport { SetNumberFormatDigitOptions } from './SetNumberFormatDigitOptions';\nimport { SetNumberFormatUnitOptions } from './SetNumberFormatUnitOptions';\n/**\n * https://tc39.es/ecma402/#sec-initializenumberformat\n */\nexport function InitializeNumberFormat(nf, locales, opts, _a) {\n var getInternalSlots = _a.getInternalSlots, localeData = _a.localeData, availableLocales = _a.availableLocales, numberingSystemNames = _a.numberingSystemNames, getDefaultLocale = _a.getDefaultLocale, currencyDigitsData = _a.currencyDigitsData;\n var requestedLocales = CanonicalizeLocaleList(locales);\n var options = CoerceOptionsToObject(opts);\n var opt = Object.create(null);\n var matcher = GetOption(options, 'localeMatcher', 'string', ['lookup', 'best fit'], 'best fit');\n opt.localeMatcher = matcher;\n var numberingSystem = GetOption(options, 'numberingSystem', 'string', undefined, undefined);\n if (numberingSystem !== undefined &&\n numberingSystemNames.indexOf(numberingSystem) < 0) {\n // 8.a. If numberingSystem does not match the Unicode Locale Identifier type nonterminal,\n // throw a RangeError exception.\n throw RangeError(\"Invalid numberingSystems: \".concat(numberingSystem));\n }\n opt.nu = numberingSystem;\n var r = ResolveLocale(Array.from(availableLocales), requestedLocales, opt, \n // [[RelevantExtensionKeys]] slot, which is a constant\n ['nu'], localeData, getDefaultLocale);\n var dataLocaleData = localeData[r.dataLocale];\n invariant(!!dataLocaleData, \"Missing locale data for \".concat(r.dataLocale));\n var internalSlots = getInternalSlots(nf);\n internalSlots.locale = r.locale;\n internalSlots.dataLocale = r.dataLocale;\n internalSlots.numberingSystem = r.nu;\n internalSlots.dataLocaleData = dataLocaleData;\n SetNumberFormatUnitOptions(nf, options, { getInternalSlots: getInternalSlots });\n var style = internalSlots.style;\n var notation = GetOption(options, 'notation', 'string', ['standard', 'scientific', 'engineering', 'compact'], 'standard');\n internalSlots.notation = notation;\n var mnfdDefault;\n var mxfdDefault;\n if (style === 'currency' && notation === 'standard') {\n var currency = internalSlots.currency;\n var cDigits = CurrencyDigits(currency, { currencyDigitsData: currencyDigitsData });\n mnfdDefault = cDigits;\n mxfdDefault = cDigits;\n }\n else {\n mnfdDefault = 0;\n mxfdDefault = style === 'percent' ? 0 : 3;\n }\n SetNumberFormatDigitOptions(internalSlots, options, mnfdDefault, mxfdDefault, notation);\n var compactDisplay = GetOption(options, 'compactDisplay', 'string', ['short', 'long'], 'short');\n var defaultUseGrouping = 'auto';\n if (notation === 'compact') {\n internalSlots.compactDisplay = compactDisplay;\n defaultUseGrouping = 'min2';\n }\n var useGrouping = GetStringOrBooleanOption(options, 'useGrouping', ['min2', 'auto', 'always'], 'always', false, defaultUseGrouping);\n internalSlots.useGrouping = useGrouping;\n var signDisplay = GetOption(options, 'signDisplay', 'string', ['auto', 'never', 'always', 'exceptZero', 'negative'], 'auto');\n internalSlots.signDisplay = signDisplay;\n return nf;\n}\n","import { invariant } from './utils';\n/**\n * https://tc39.es/ecma402/#sec-partitionpattern\n * @param pattern\n */\nexport function PartitionPattern(pattern) {\n var result = [];\n var beginIndex = pattern.indexOf('{');\n var endIndex = 0;\n var nextIndex = 0;\n var length = pattern.length;\n while (beginIndex < pattern.length && beginIndex > -1) {\n endIndex = pattern.indexOf('}', beginIndex);\n invariant(endIndex > beginIndex, \"Invalid pattern \".concat(pattern));\n if (beginIndex > nextIndex) {\n result.push({\n type: 'literal',\n value: pattern.substring(nextIndex, beginIndex),\n });\n }\n result.push({\n type: pattern.substring(beginIndex + 1, endIndex),\n value: undefined,\n });\n nextIndex = endIndex + 1;\n beginIndex = pattern.indexOf('{', nextIndex);\n }\n if (nextIndex < length) {\n result.push({\n type: 'literal',\n value: pattern.substring(nextIndex, length),\n });\n }\n return result;\n}\n","import { LookupSupportedLocales } from '@formatjs/intl-localematcher';\nimport { ToObject } from './262';\nimport { GetOption } from './GetOption';\n/**\n * https://tc39.es/ecma402/#sec-supportedlocales\n * @param availableLocales\n * @param requestedLocales\n * @param options\n */\nexport function SupportedLocales(availableLocales, requestedLocales, options) {\n var matcher = 'best fit';\n if (options !== undefined) {\n options = ToObject(options);\n matcher = GetOption(options, 'localeMatcher', 'string', ['lookup', 'best fit'], 'best fit');\n }\n if (matcher === 'best fit') {\n return LookupSupportedLocales(Array.from(availableLocales), requestedLocales);\n }\n return LookupSupportedLocales(Array.from(availableLocales), requestedLocales);\n}\n","import { __extends } from \"tslib\";\nvar MissingLocaleDataError = /** @class */ (function (_super) {\n __extends(MissingLocaleDataError, _super);\n function MissingLocaleDataError() {\n var _this = _super !== null && _super.apply(this, arguments) || this;\n _this.type = 'MISSING_LOCALE_DATA';\n return _this;\n }\n return MissingLocaleDataError;\n}(Error));\nexport function isMissingLocaleDataError(e) {\n return e.type === 'MISSING_LOCALE_DATA';\n}\n","export var RangePatternType;\n(function (RangePatternType) {\n RangePatternType[\"startRange\"] = \"startRange\";\n RangePatternType[\"shared\"] = \"shared\";\n RangePatternType[\"endRange\"] = \"endRange\";\n})(RangePatternType || (RangePatternType = {}));\n","\"use strict\";\nObject.defineProperty(exports, \"__esModule\", { value: true });\nexports.SegmentationRules = void 0;\n/* @generated */\n// prettier-ignore\nexports.SegmentationRules = {\n \"de\": {\n \"sentence\": {\n \"segmentRules\": {},\n \"suppressions\": [\n \"Port.\",\n \"Alt.\",\n \"Di.\",\n \"Ges.\",\n \"frz.\",\n \"entspr.\",\n \"Gebr.\",\n \"erw.\",\n \"Frl.\",\n \"Inh.\",\n \"k.u.k.\",\n \"Ca.\",\n \"J.D.\",\n \"Ausg.\",\n \"evtl.\",\n \"So.\",\n \"i.B.\",\n \"s.a.\",\n \"kgl.\",\n \"Sept.\",\n \"o.B.\",\n \"Sa.\",\n \"ev.\",\n \"Dez.\",\n \"am.\",\n \"i.R.\",\n \"eigtl.\",\n \"i.J.\",\n \"u.U.\",\n \"G.\",\n \"z.Hd.\",\n \"u.A.w.g.\",\n \"Kl.\",\n \"Spezif.\",\n \"Obj.\",\n \"Ing.\",\n \"D. h.\",\n \"Folg.\",\n \"Akt.\",\n \"i.A.\",\n \"Msp.\",\n \"U.U.\",\n \"Chr.\",\n \"R.\",\n \"Einh.\",\n \"schwäb.\",\n \"Vgl.\",\n \"Aug.\",\n \"Dipl.-Ing.\",\n \"W.\",\n \"B.\",\n \"U. U.\",\n \"J.\",\n \"Fa.\",\n \"Mo.\",\n \"n.u.Z.\",\n \"Op.\",\n \"Mrd.\",\n \"e.h.\",\n \"Hr.\",\n \"Hrn.\",\n \"Ztr.\",\n \"k. u. k.\",\n \"Bibl.\",\n \"d.Ä.\",\n \"b.\",\n \"M.\",\n \"i.H.\",\n \"v.R.w.\",\n \"o.A.\",\n \"St.\",\n \"Dr.\",\n \"Fn.\",\n \"Abs.\",\n \"Rd.\",\n \"Dtzd.\",\n \"Jahrh.\",\n \"Z.\",\n \"Std.\",\n \"n. Chr.\",\n \"möbl.\",\n \"tägl.\",\n \"gest.\",\n \"gesch.\",\n \"z.B.\",\n \"Hbf.\",\n \"Abt.\",\n \"A.M.\",\n \"e.Wz.\",\n \"v.T.\",\n \"Nov.\",\n \"z.\",\n \"Prot.\",\n \"U.S.\",\n \"Wg.\",\n \"u.v.a.\",\n \"Adr.\",\n \"App.\",\n \"ggf.\",\n \"ggfs.\",\n \"Jan.\",\n \"O.\",\n \"Rel.\",\n \"od.\",\n \"Pfd.\",\n \"a.a.O.\",\n \"p.Adr.\",\n \"P.\",\n \"Gem.\",\n \"v. Chr.\",\n \"Art.\",\n \"z.Z.\",\n \"S.A.\",\n \"i.V.\",\n \"verh.\",\n \"Ausschl.\",\n \"m.W.\",\n \"Dir.\",\n \"Verf.\",\n \"Sek.\",\n \"r.\",\n \"Chin.\",\n \"Feb.\",\n \"Int.\",\n \"Sep.\",\n \"Gesch.\",\n \"schweiz.\",\n \"Bed.\",\n \"a.Rh.\",\n \"jew.\",\n \"vgl.\",\n \"a.M.\",\n \"Str.\",\n \"exkl.\",\n \"gek.\",\n \"Erf.\",\n \"u.Ä.\",\n \"ehem.\",\n \"näml.\",\n \"u. Z.\",\n \"v. u. Z.\",\n \"sog.\",\n \"C.\",\n \"Dipl.-Kfm.\",\n \"mtl.\",\n \"Hrsg.\",\n \"Qu.\",\n \"röm.\",\n \"u.\",\n \"U.\",\n \"Adj.\",\n \"Kap.\",\n \"hpts.\",\n \"a.D.\",\n \"gedr.\",\n \"Best.\",\n \"N.\",\n \"v.u.Z.\",\n \"Phys.\",\n \"Fr.\",\n \"d.J.\",\n \"Reg.-Bez.\",\n \"m.E.\",\n \"schles.\",\n \"Max.\",\n \"Ltd.\",\n \"südd.\",\n \"inkl.\",\n \"geb.\",\n \"Ggf.\",\n \"Inc.\",\n \"kath.\",\n \"kfm.\",\n \"Nr.\",\n \"Proz.\",\n \"Dim.\",\n \"verw.\",\n \"Reg.\",\n \"Dat.\",\n \"Evtl.\",\n \"led.\",\n \"F.\",\n \"Test.\",\n \"Schr.\",\n \"Do.\",\n \"PIN.\",\n \"Z. Zt.\",\n \"v.Chr.\",\n \"Tägl.\",\n \"s.\",\n \"amtl.\",\n \"Temp.\",\n \"Mind.\",\n \"e.V.\",\n \"Abw.\",\n \"P.M.\",\n \"F.f.\",\n \"a.a.S.\",\n \"Mod.\",\n \"Co.\",\n \"Min.\",\n \"Allg.\",\n \"Geograph.\",\n \"Jr.\",\n \"Urspr.\",\n \"Apr.\",\n \"Z. B.\",\n \"v.H.\",\n \"A.\",\n \"einschl.\",\n \"Trans.\",\n \"zzgl.\",\n \"StR.\",\n \"Fam.\",\n \"I.\",\n \"jhrl.\",\n \"u.a.\",\n \"Ben.\",\n \"o.g.\",\n \"Kfm.\",\n \"Konv.\",\n \"Mi.\",\n \"L.\",\n \"beil.\",\n \"T.\",\n \"Ursprüngl.\",\n \"röm.-kath.\",\n \"Okt.\",\n \"u.ä.\",\n \"Tel.\",\n \"D.\",\n \"Ber.\",\n \"Kop.\",\n \"Mio.\",\n \"Y.\",\n \"U.S.A.\",\n \"v. 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\"$Extend\": 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\"$L\": \"[\\\\u1100-\\\\u115F\\\\uA960-\\\\uA97C]\",\n \"$LF\": \"\\\\n\",\n \"$LV\": 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\"$LVT\": 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\"$LinkingConsonant\": \"[\\\\u0915-\\\\u0939\\\\u0958-\\\\u095F\\\\u0978-\\\\u097F\\\\u0995-\\\\u09A8\\\\u09AA-\\\\u09B0\\\\u09B2\\\\u09B6-\\\\u09B9\\\\u09DC\\\\u09DD\\\\u09DF\\\\u09F0\\\\u09F1\\\\u0A95-\\\\u0AA8\\\\u0AAA-\\\\u0AB0\\\\u0AB2\\\\u0AB3\\\\u0AB5-\\\\u0AB9\\\\u0AF9\\\\u0B15-\\\\u0B28\\\\u0B2A-\\\\u0B30\\\\u0B32\\\\u0B33\\\\u0B35-\\\\u0B39\\\\u0B5C\\\\u0B5D\\\\u0B5F\\\\u0B71\\\\u0C15-\\\\u0C28\\\\u0C2A-\\\\u0C39\\\\u0C58-\\\\u0C5A\\\\u0D15-\\\\u0D3A]\",\n \"$Prepend\": \"(?:[\\\\u0600-\\\\u0605\\\\u06DD\\\\u070F\\\\u0890\\\\u0891\\\\u08E2\\\\u0D4E]|\\\\uD804[\\\\uDCBD\\\\uDCCD\\\\uDDC2\\\\uDDC3\\\\uDFD1]|\\\\uD806[\\\\uDD3F\\\\uDD41\\\\uDE3A\\\\uDE84-\\\\uDE89]|\\\\uD807[\\\\uDD46\\\\uDF02])\",\n \"$RI\": \"(?:\\\\uD83C[\\\\uDDE6-\\\\uDDFF])\",\n \"$SpacingMark\": \"(?:[\\\\u0903\\\\u093B\\\\u093E-\\\\u0940\\\\u0949-\\\\u094C\\\\u094E\\\\u094F\\\\u0982\\\\u0983\\\\u09BF\\\\u09C0\\\\u09C7\\\\u09C8\\\\u09CB\\\\u09CC\\\\u0A03\\\\u0A3E-\\\\u0A40\\\\u0A83\\\\u0ABE-\\\\u0AC0\\\\u0AC9\\\\u0ACB\\\\u0ACC\\\\u0B02\\\\u0B03\\\\u0B40\\\\u0B47\\\\u0B48\\\\u0B4B\\\\u0B4C\\\\u0BBF\\\\u0BC1\\\\u0BC2\\\\u0BC6-\\\\u0BC8\\\\u0BCA-\\\\u0BCC\\\\u0C01-\\\\u0C03\\\\u0C41-\\\\u0C44\\\\u0C82\\\\u0C83\\\\u0CBE\\\\u0CC1\\\\u0CC3\\\\u0CC4\\\\u0CF3\\\\u0D02\\\\u0D03\\\\u0D3F\\\\u0D40\\\\u0D46-\\\\u0D48\\\\u0D4A-\\\\u0D4C\\\\u0D82\\\\u0D83\\\\u0DD0\\\\u0DD1\\\\u0DD8-\\\\u0DDE\\\\u0DF2\\\\u0DF3\\\\u0E33\\\\u0EB3\\\\u0F3E\\\\u0F3F\\\\u0F7F\\\\u1031\\\\u103B\\\\u103C\\\\u1056\\\\u1057\\\\u1084\\\\u17B6\\\\u17BE-\\\\u17C5\\\\u17C7\\\\u17C8\\\\u1923-\\\\u1926\\\\u1929-\\\\u192B\\\\u1930\\\\u1931\\\\u1933-\\\\u1938\\\\u1A19\\\\u1A1A\\\\u1A55\\\\u1A57\\\\u1A6D-\\\\u1A72\\\\u1B04\\\\u1B3E-\\\\u1B41\\\\u1B82\\\\u1BA1\\\\u1BA6\\\\u1BA7\\\\u1BE7\\\\u1BEA-\\\\u1BEC\\\\u1BEE\\\\u1C24-\\\\u1C2B\\\\u1C34\\\\u1C35\\\\u1CE1\\\\u1CF7\\\\uA823\\\\uA824\\\\uA827\\\\uA880\\\\uA881\\\\uA8B4-\\\\uA8C3\\\\uA952\\\\uA983\\\\uA9B4\\\\uA9B5\\\\uA9BA\\\\uA9BB\\\\uA9BE\\\\uA9BF\\\\uAA2F\\\\uAA30\\\\uAA33\\\\uAA34\\\\uAA4D\\\\uAAEB\\\\uAAEE\\\\uAAEF\\\\uAAF5\\\\uABE3\\\\uABE4\\\\uABE6\\\\uABE7\\\\uABE9\\\\uABEA\\\\uABEC]|\\\\uD804[\\\\uDC00\\\\uDC02\\\\uDC82\\\\uDCB0-\\\\uDCB2\\\\uDCB7\\\\uDCB8\\\\uDD2C\\\\uDD45\\\\uDD46\\\\uDD82\\\\uDDB3-\\\\uDDB5\\\\uDDBF\\\\uDDCE\\\\uDE2C-\\\\uDE2E\\\\uDE32\\\\uDE33\\\\uDEE0-\\\\uDEE2\\\\uDF02\\\\uDF03\\\\uDF3F\\\\uDF41-\\\\uDF44\\\\uDF47\\\\uDF48\\\\uDF4B\\\\uDF4C\\\\uDF62\\\\uDF63\\\\uDFB9\\\\uDFBA\\\\uDFCA\\\\uDFCC\\\\uDFCD]|\\\\uD805[\\\\uDC35-\\\\uDC37\\\\uDC40\\\\uDC41\\\\uDC45\\\\uDCB1\\\\uDCB2\\\\uDCB9\\\\uDCBB\\\\uDCBC\\\\uDCBE\\\\uDCC1\\\\uDDB0\\\\uDDB1\\\\uDDB8-\\\\uDDBB\\\\uDDBE\\\\uDE30-\\\\uDE32\\\\uDE3B\\\\uDE3C\\\\uDE3E\\\\uDEAC\\\\uDEAE\\\\uDEAF\\\\uDF1E\\\\uDF26]|\\\\uD806[\\\\uDC2C-\\\\uDC2E\\\\uDC38\\\\uDD31-\\\\uDD35\\\\uDD37\\\\uDD38\\\\uDD40\\\\uDD42\\\\uDDD1-\\\\uDDD3\\\\uDDDC-\\\\uDDDF\\\\uDDE4\\\\uDE39\\\\uDE57\\\\uDE58\\\\uDE97]|\\\\uD807[\\\\uDC2F\\\\uDC3E\\\\uDCA9\\\\uDCB1\\\\uDCB4\\\\uDD8A-\\\\uDD8E\\\\uDD93\\\\uDD94\\\\uDD96\\\\uDEF5\\\\uDEF6\\\\uDF03\\\\uDF34\\\\uDF35\\\\uDF3E\\\\uDF3F]|\\\\uD818[\\\\uDD2A-\\\\uDD2C]|\\\\uD81B[\\\\uDF51-\\\\uDF87])\",\n \"$T\": \"[\\\\u11A8-\\\\u11FF\\\\uD7CB-\\\\uD7FB]\",\n \"$V\": \"(?:[\\\\u1160-\\\\u11A7\\\\uD7B0-\\\\uD7C6]|\\\\uD81B[\\\\uDD63\\\\uDD67-\\\\uDD6A])\",\n \"$ZWJ\": \"\\\\u200D\"\n }\n },\n \"sentence\": {\n \"segmentRules\": {\n \"10\": {\n \"after\": \"($Sp|$ParaSep)\",\n \"before\": \"$SATerm$Close*$Sp*\",\n \"breaks\": false\n },\n \"11\": {\n \"before\": \"$SATerm$Close*$Sp*$ParaSep?\",\n \"breaks\": true\n },\n \"3\": {\n \"after\": \"$LF\",\n \"before\": \"$CR\",\n \"breaks\": false\n },\n \"4\": {\n \"before\": \"$ParaSep\",\n \"breaks\": true\n },\n \"5\": {\n \"after\": \"(?:$Format|$Extend)\",\n \"breaks\": false\n },\n \"6\": {\n \"after\": \"$Numeric\",\n \"before\": \"$ATerm\",\n \"breaks\": false\n },\n \"7\": {\n \"after\": \"$Upper\",\n \"before\": \"($Upper|$Lower)$ATerm\",\n \"breaks\": false\n },\n \"8\": {\n \"after\": \"$NotPreLower_*$Lower\",\n \"before\": \"$ATerm$Close*$Sp*\",\n \"breaks\": false\n },\n \"8.1\": {\n \"after\": \"($SContinue|$SATerm)\",\n 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\"$Extend\": 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\"$FE\": 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}\n },\n \"word\": {\n \"segmentRules\": {\n \"10\": {\n \"after\": \"$AHLetter\",\n \"before\": \"$Numeric\",\n \"breaks\": false\n },\n \"11\": {\n \"after\": \"$Numeric\",\n \"before\": \"$Numeric($MidNum|$MidNumLetQ)\",\n \"breaks\": false\n },\n \"12\": {\n \"after\": \"($MidNum|$MidNumLetQ)$Numeric\",\n \"before\": \"$Numeric\",\n \"breaks\": false\n },\n \"13\": {\n \"after\": \"$Katakana\",\n \"before\": \"$Katakana\",\n \"breaks\": false\n },\n \"13.1\": {\n \"after\": \"$ExtendNumLet\",\n \"before\": \"($AHLetter|$Numeric|$Katakana|$ExtendNumLet)\",\n \"breaks\": false\n },\n \"13.2\": {\n \"after\": \"($AHLetter|$Numeric|$Katakana)\",\n \"before\": \"$ExtendNumLet\",\n \"breaks\": false\n },\n \"15\": {\n \"after\": \"$RI\",\n \"before\": \"^($RI$RI)*$RI\",\n \"breaks\": false\n },\n \"16\": {\n \"after\": \"$RI\",\n \"before\": 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\"breaks\": false\n },\n \"3\": {\n \"after\": \"$LF\",\n \"before\": \"$CR\",\n \"breaks\": false\n },\n \"3.1\": {\n \"before\": \"($Newline|$CR|$LF)\",\n \"breaks\": true\n },\n \"3.2\": {\n \"after\": \"($Newline|$CR|$LF)\",\n \"breaks\": true\n },\n \"3.3\": {\n \"after\": \"$ExtPict\",\n \"before\": \"$ZWJ\",\n \"breaks\": false\n },\n \"3.4\": {\n \"after\": \"$WSegSpace\",\n \"before\": \"$WSegSpace\",\n \"breaks\": false\n },\n \"4\": {\n \"after\": \"(?:$Format|$Extend|$ZWJ)\",\n \"before\": \"$NotBreak_\",\n \"breaks\": false\n },\n \"5\": {\n \"after\": \"$AHLetter\",\n \"before\": \"$AHLetter\",\n \"breaks\": false\n },\n \"6\": {\n \"after\": \"($MidLetter|$MidNumLetQ)$AHLetter\",\n \"before\": \"$AHLetter\",\n \"breaks\": false\n },\n \"7\": {\n \"after\": \"$AHLetter\",\n \"before\": \"$AHLetter($MidLetter|$MidNumLetQ)\",\n \"breaks\": false\n },\n \"7.1\": {\n \"after\": \"$Single_Quote\",\n \"before\": \"$Hebrew_Letter\",\n \"breaks\": false\n },\n \"7.2\": {\n 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\"$ExtPict\": 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\"$Extend\": 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\"$ExtendNumLet\": 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\"$Single_Quote\": 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\"$WSegSpace\": \"[ \\\\u1680\\\\u2000-\\\\u2006\\\\u2008-\\\\u200A\\\\u205F\\\\u3000]\",\n \"$ZWJ\": \"\\\\u200D\"\n }\n }\n },\n \"ru\": {\n \"sentence\": {\n \"segmentRules\": {},\n \"suppressions\": [\n \"руб.\",\n \"янв.\",\n \"до н. э.\",\n \"сент.\",\n \"тел.\",\n \"дек.\",\n \"февр.\",\n \"нояб.\",\n \"апр.\",\n \"н. э.\",\n \"окт.\",\n \"тыс.\",\n \"авг.\",\n \"проф.\",\n \"н.э.\",\n \"кв.\",\n \"ул.\",\n \"отд.\"\n ],\n \"variables\": {}\n }\n },\n \"zh\": {}\n};\n","\"use strict\";\nObject.defineProperty(exports, \"__esModule\", { value: true });\nexports.isSurrogate = exports.replaceVariables = void 0;\nvar replaceVariables = function (variables, input) {\n var findVarRegex = /\\$[A-Za-z0-9_]+/gm;\n return input.replaceAll(findVarRegex, function (match) {\n if (!(match in variables)) {\n throw new Error(\"No such variable \".concat(match));\n }\n return variables[match];\n });\n};\nexports.replaceVariables = replaceVariables;\nvar isSurrogate = function (str, pos) {\n return (0xd800 <= str.charCodeAt(pos - 1) &&\n str.charCodeAt(pos - 1) <= 0xdbff &&\n 0xdc00 <= str.charCodeAt(pos) &&\n str.charCodeAt(pos) <= 0xdfff);\n};\nexports.isSurrogate = isSurrogate;\n// alternative surrogate check mimicking the java implementation\n// const TRAIL_SURROGATE_BITMASK = 0xfffffc00\n// const TRAIL_SURROGATE_BITS = 0xdc00\n// const LEAD_SURROGATE_BITMASK = 0xfffffc00\n// const LEAD_SURROGATE_BITS = 0xd800\n// const isSurrogate = (text: string, position: number) => {\n// if (\n// (text.charCodeAt(position - 1) & LEAD_SURROGATE_BITMASK) ==\n// LEAD_SURROGATE_BITS &&\n// (text.charCodeAt(position) & TRAIL_SURROGATE_BITMASK) ==\n// TRAIL_SURROGATE_BITS\n// ) {\n// return true\n// } else {\n// return false\n// }\n// }\n","\"use strict\";\nObject.defineProperty(exports, \"__esModule\", { value: true });\nexports.Segmenter = void 0;\nvar tslib_1 = require(\"tslib\");\nvar ecma402_abstract_1 = require(\"@formatjs/ecma402-abstract\");\nvar intl_localematcher_1 = require(\"@formatjs/intl-localematcher\");\nvar cldr_segmentation_rules_generated_1 = require(\"./cldr-segmentation-rules.generated\");\nvar segmentation_utils_1 = require(\"./segmentation-utils\");\n/**\n * Adds $ to before rules and ^ to after rules for strictness\n * Replaces variables\n * Initializes the RegExp\n *\n * @param rule raw rule string from cldr-segmentation-rules.generated\n * @param variables\n * @param after appends ^ if true and $ if false\n * @returns\n */\nvar generateRuleRegex = function (rule, variables, after) {\n return new RegExp(\"\".concat(after ? '^' : '').concat((0, segmentation_utils_1.replaceVariables)(variables, rule)).concat(after ? '' : '$'));\n};\nvar prepareLocaleSegmentationRules = function (segmentationTypeValue) {\n var preparedRules = {};\n for (var _i = 0, _a = Object.keys(segmentationTypeValue.segmentRules); _i < _a.length; _i++) {\n var ruleNr = _a[_i];\n var ruleValue = segmentationTypeValue.segmentRules[ruleNr];\n var preparedRule = {\n breaks: ruleValue.breaks,\n };\n if ('before' in ruleValue && ruleValue.before) {\n preparedRule.before = generateRuleRegex(ruleValue.before, segmentationTypeValue.variables, false);\n }\n if ('after' in ruleValue && ruleValue.after) {\n preparedRule.after = generateRuleRegex(ruleValue.after, segmentationTypeValue.variables, true);\n }\n preparedRules[ruleNr] = preparedRule;\n }\n return preparedRules;\n};\nvar breaksAtResult = function (breaks, matchingRule) { return ({\n breaks: breaks,\n matchingRule: matchingRule,\n}); };\nvar Segmenter = /** @class */ (function () {\n function Segmenter(locales, options) {\n var _newTarget = this.constructor;\n if (_newTarget === undefined) {\n throw TypeError(\"Constructor Intl.Segmenter requires 'new'\");\n }\n var requestedLocales = (0, ecma402_abstract_1.CanonicalizeLocaleList)(locales);\n options = (0, ecma402_abstract_1.GetOptionsObject)(options);\n var opt = Object.create(null);\n var matcher = (0, ecma402_abstract_1.GetOption)(options, 'localeMatcher', 'string', ['lookup', 'best fit'], 'best fit');\n opt.localeMatcher = matcher;\n var granularity = (0, ecma402_abstract_1.GetOption)(options, 'granularity', 'string', ['word', 'sentence', 'grapheme'], 'grapheme');\n setSlot(this, 'granularity', granularity);\n //TODO: figure out correct availible locales\n var r = (0, intl_localematcher_1.ResolveLocale)(Segmenter.availableLocales, //availible locales\n requestedLocales, opt, [], // there is no relevantExtensionKeys\n {}, function () { return ''; } //use only root rules\n );\n setSlot(this, 'locale', r.locale);\n //root rules based on granularity\n this.mergedSegmentationTypeValue = cldr_segmentation_rules_generated_1.SegmentationRules.root[granularity];\n //merge root rules with locale ones if locale is specified\n if (r.locale.length) {\n var localeOverrides = cldr_segmentation_rules_generated_1.SegmentationRules[r.locale];\n if (granularity in localeOverrides) {\n var localeSegmentationTypeValue = localeOverrides[granularity];\n this.mergedSegmentationTypeValue.variables = tslib_1.__assign(tslib_1.__assign({}, this.mergedSegmentationTypeValue.variables), localeSegmentationTypeValue.variables);\n this.mergedSegmentationTypeValue.segmentRules = tslib_1.__assign(tslib_1.__assign({}, this.mergedSegmentationTypeValue.segmentRules), localeSegmentationTypeValue.segmentRules);\n this.mergedSegmentationTypeValue.suppressions = tslib_1.__spreadArray(tslib_1.__spreadArray([], this.mergedSegmentationTypeValue.suppressions, true), localeSegmentationTypeValue.suppressions, true);\n }\n }\n //prepare rules\n this.rules = prepareLocaleSegmentationRules(this.mergedSegmentationTypeValue);\n //order rule keys\n this.ruleSortedKeys = Object.keys(this.rules).sort(function (a, b) { return Number(a) - Number(b); });\n }\n Segmenter.prototype.breaksAt = function (position, input) {\n var ruleSortedKeys = this.ruleSortedKeys;\n var rules = this.rules;\n var mergedSegmentationTypeValue = this.mergedSegmentationTypeValue;\n //artificial rule 0.2\n if (position === 0) {\n return breaksAtResult(true, '0.2');\n }\n if (position === input.length) {\n //rule 0.3\n return breaksAtResult(true, '0.3');\n }\n //artificial rule 0.1: js specific, due to es5 regex not being unicode aware\n //number 0.1 chosen to mimic java implementation, but needs to execute after 0.2 and 0.3 to be inside the string bounds\n if ((0, segmentation_utils_1.isSurrogate)(input, position)) {\n return breaksAtResult(false, '0.1');\n }\n var stringBeforeBreak = input.substring(0, position);\n var stringAfterBreak = input.substring(position);\n //artificial rule 0.4: handle suppressions\n if ('suppressions' in mergedSegmentationTypeValue) {\n for (var _i = 0, _a = mergedSegmentationTypeValue.suppressions; _i < _a.length; _i++) {\n var suppressions = _a[_i];\n if (stringBeforeBreak.trim().endsWith(suppressions)) {\n return breaksAtResult(false, '0.4');\n }\n }\n }\n // loop through rules and find a match\n for (var _b = 0, ruleSortedKeys_1 = ruleSortedKeys; _b < ruleSortedKeys_1.length; _b++) {\n var ruleKey = ruleSortedKeys_1[_b];\n var _c = rules[ruleKey], before = _c.before, after = _c.after, breaks = _c.breaks;\n // for debugging\n // if (ruleKey === '16' && position === 4) {\n // console.log({before, after, stringBeforeBreak, stringAfterBreak})\n // }\n if (before) {\n if (!before.test(stringBeforeBreak)) {\n //didn't match the before part, therfore skipping\n continue;\n }\n }\n if (after) {\n if (!after.test(stringAfterBreak)) {\n //didn't match the after part, therfore skipping\n continue;\n }\n }\n return breaksAtResult(breaks, ruleKey);\n }\n //artificial rule 999: if no rule matched is Any ÷ Any so return true\n return breaksAtResult(true, '999');\n };\n Segmenter.prototype.segment = function (input) {\n checkReceiver(this, 'segment');\n return new SegmentIterator(this, input);\n };\n Segmenter.prototype.resolvedOptions = function () {\n checkReceiver(this, 'resolvedOptions');\n return tslib_1.__assign({}, (0, ecma402_abstract_1.getMultiInternalSlots)(__INTERNAL_SLOT_MAP__, this, 'locale', 'granularity'));\n };\n Segmenter.supportedLocalesOf = function (locales, options) {\n return (0, ecma402_abstract_1.SupportedLocales)(Segmenter.availableLocales, (0, ecma402_abstract_1.CanonicalizeLocaleList)(locales), options);\n };\n Segmenter.availableLocales = new Set(Object.keys(cldr_segmentation_rules_generated_1.SegmentationRules).filter(function (key) { return key !== 'root'; }));\n Segmenter.polyfilled = true;\n return Segmenter;\n}());\nexports.Segmenter = Segmenter;\nvar createSegmentDataObject = function (segmenter, segment, index, input, matchingRule) {\n var returnValue = {\n segment: segment,\n index: index,\n input: input,\n };\n if (getSlot(segmenter, 'granularity') === 'word') {\n returnValue.isWordLike = matchingRule !== '3.1' && matchingRule !== '3.2';\n }\n return returnValue;\n};\nvar SegmentIterator = /** @class */ (function () {\n function SegmentIterator(segmenter, input) {\n this.segmenter = segmenter;\n this.lastSegmentIndex = 0;\n if (typeof input == 'symbol') {\n throw TypeError(\"Input must not be a symbol\");\n }\n this.input = String(input);\n }\n SegmentIterator.prototype[Symbol.iterator] = function () {\n return new SegmentIterator(this.segmenter, this.input);\n };\n SegmentIterator.prototype.next = function () {\n //using only the relevant bit of the string\n var checkString = this.input.substring(this.lastSegmentIndex);\n //loop from the start of the checkString, until exactly length (breaksAt returns break at pos=== lenght)\n for (var position = 1; position <= checkString.length; position++) {\n var _a = this.segmenter.breaksAt(position, checkString), breaks = _a.breaks, matchingRule = _a.matchingRule;\n if (breaks) {\n var segment = checkString.substring(0, position);\n var index = this.lastSegmentIndex;\n this.lastSegmentIndex += position;\n return {\n done: false,\n value: createSegmentDataObject(this.segmenter, segment, index, this.input, matchingRule),\n };\n }\n }\n //no segment was found by the loop, therefore the segmentation is done\n return { done: true, value: undefined };\n };\n SegmentIterator.prototype.containing = function (positionInput) {\n if (typeof positionInput === 'bigint') {\n throw TypeError('Index must not be a BigInt');\n }\n var position = Number(positionInput);\n //https://tc39.es/ecma262/#sec-tointegerorinfinity\n // 2. If number is NaN, +0𝔽, or -0𝔽, return 0.\n if (isNaN(position) || !position) {\n position = 0;\n }\n // 5. Let integer be floor(abs(ℝ(number))).\n // 6. If number < -0𝔽, set integer to -integer.\n position = Math.floor(Math.abs(position)) * (position < 0 ? -1 : 1);\n if (position < 0 || position >= this.input.length) {\n return undefined;\n }\n //find previous break point\n var previousBreakPoint = 0;\n if (position === 0) {\n previousBreakPoint = 0;\n }\n else {\n var checkString_1 = this.input;\n for (var cursor = position; cursor >= 0; cursor--) {\n var breaks = this.segmenter.breaksAt(cursor, checkString_1).breaks;\n if (breaks) {\n previousBreakPoint = cursor;\n break;\n }\n }\n }\n var checkString = this.input.substring(previousBreakPoint);\n //find next break point\n for (var cursor = 1; cursor <= checkString.length; cursor++) {\n var _a = this.segmenter.breaksAt(cursor, checkString), breaks = _a.breaks, matchingRule = _a.matchingRule;\n if (breaks) {\n var segment = checkString.substring(0, cursor);\n return createSegmentDataObject(this.segmenter, segment, previousBreakPoint, this.input, matchingRule);\n }\n }\n };\n return SegmentIterator;\n}());\nvar __INTERNAL_SLOT_MAP__ = new WeakMap();\nfunction getSlot(instance, key) {\n return (0, ecma402_abstract_1.getInternalSlot)(__INTERNAL_SLOT_MAP__, instance, key);\n}\nfunction setSlot(instance, key, value) {\n (0, ecma402_abstract_1.setInternalSlot)(__INTERNAL_SLOT_MAP__, instance, key, value);\n}\nfunction checkReceiver(receiver, methodName) {\n if (!(receiver instanceof Segmenter)) {\n throw TypeError(\"Method Intl.Segmenter.prototype.\".concat(methodName, \" called on incompatible receiver\"));\n }\n}\ntry {\n // IE11 does not have Symbol\n if (typeof Symbol !== 'undefined') {\n Object.defineProperty(Segmenter.prototype, Symbol.toStringTag, {\n value: 'Intl.Segmenter',\n writable: false,\n enumerable: false,\n configurable: true,\n });\n }\n //github.com/tc39/test262/blob/main/test/intl402/Segmenter/constructor/length.js\n https: Object.defineProperty(Segmenter.prototype.constructor, 'length', {\n value: 0,\n writable: false,\n enumerable: false,\n configurable: true,\n });\n // https://github.com/tc39/test262/blob/main/test/intl402/Segmenter/constructor/supportedLocalesOf/length.js\n Object.defineProperty(Segmenter.supportedLocalesOf, 'length', {\n value: 1,\n writable: false,\n enumerable: false,\n configurable: true,\n });\n}\ncatch (e) {\n // Meta fix so we're test262-compliant, not important\n}\n","\"use strict\";\nObject.defineProperty(exports, \"__esModule\", { value: true });\nvar segmenter_1 = require(\"./src/segmenter\");\nObject.defineProperty(Intl, 'Segmenter', {\n value: segmenter_1.Segmenter,\n enumerable: false,\n writable: true,\n configurable: 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