"use strict"; var __defProp = Object.defineProperty; var __getOwnPropDesc = Object.getOwnPropertyDescriptor; var __getOwnPropNames = Object.getOwnPropertyNames; var __hasOwnProp = Object.prototype.hasOwnProperty; var __name = (target, value) => __defProp(target, "name", { value, configurable: true }); var __export = (target, all) => { for (var name in all) __defProp(target, name, { get: all[name], enumerable: true }); }; var __copyProps = (to, from, except, desc) => { if (from && typeof from === "object" || typeof from === "function") { for (let key of __getOwnPropNames(from)) if (!__hasOwnProp.call(to, key) && key !== except) __defProp(to, key, { get: () => from[key], enumerable: !(desc = __getOwnPropDesc(from, key)) || desc.enumerable }); } return to; }; var __toCommonJS = (mod2) => __copyProps(__defProp({}, "__esModule", { value: true }), mod2); // src/runtime/index-browser.ts var index_browser_exports = {}; __export(index_browser_exports, { Decimal: () => decimal_default, makeStrictEnum: () => makeStrictEnum, objectEnumValues: () => objectEnumValues }); module.exports = __toCommonJS(index_browser_exports); // src/runtime/object-enums.ts var secret = Symbol(); var representations = /* @__PURE__ */ new WeakMap(); var ObjectEnumValue = class { constructor(arg) { if (arg === secret) { representations.set(this, `Prisma.${this._getName()}`); } else { representations.set(this, `new Prisma.${this._getNamespace()}.${this._getName()}()`); } } _getName() { return this.constructor.name; } toString() { return representations.get(this); } }; __name(ObjectEnumValue, "ObjectEnumValue"); var NullTypesEnumValue = class extends ObjectEnumValue { _getNamespace() { return "NullTypes"; } }; __name(NullTypesEnumValue, "NullTypesEnumValue"); var DbNull = class extends NullTypesEnumValue { }; __name(DbNull, "DbNull"); var JsonNull = class extends NullTypesEnumValue { }; __name(JsonNull, "JsonNull"); var AnyNull = class extends NullTypesEnumValue { }; __name(AnyNull, "AnyNull"); var objectEnumValues = { classes: { DbNull, JsonNull, AnyNull }, instances: { DbNull: new DbNull(secret), JsonNull: new JsonNull(secret), AnyNull: new AnyNull(secret) } }; // src/runtime/strictEnum.ts var allowList = /* @__PURE__ */ new Set([ "toJSON", "asymmetricMatch", Symbol.iterator, Symbol.toStringTag, Symbol.isConcatSpreadable, Symbol.toPrimitive ]); function makeStrictEnum(definition) { return new Proxy(definition, { get(target, property) { if (property in target) { return target[property]; } if (allowList.has(property)) { return void 0; } throw new TypeError(`Invalid enum value: ${String(property)}`); } }); } __name(makeStrictEnum, "makeStrictEnum"); // ../../node_modules/.pnpm/decimal.js@10.4.2/node_modules/decimal.js/decimal.mjs var EXP_LIMIT = 9e15; var MAX_DIGITS = 1e9; var NUMERALS = "0123456789abcdef"; var LN10 = "2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058"; var PI = "3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789"; var DEFAULTS = { precision: 20, rounding: 4, modulo: 1, toExpNeg: -7, toExpPos: 21, minE: -EXP_LIMIT, maxE: EXP_LIMIT, crypto: false }; var inexact; var quadrant; var external = true; var decimalError = "[DecimalError] "; var invalidArgument = decimalError + "Invalid argument: "; var precisionLimitExceeded = decimalError + "Precision limit exceeded"; var cryptoUnavailable = decimalError + "crypto unavailable"; var tag = "[object Decimal]"; var mathfloor = Math.floor; var mathpow = Math.pow; var isBinary = /^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i; var isHex = /^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i; var isOctal = /^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i; var isDecimal = /^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i; var BASE = 1e7; var LOG_BASE = 7; var MAX_SAFE_INTEGER = 9007199254740991; var LN10_PRECISION = LN10.length - 1; var PI_PRECISION = PI.length - 1; var P = { toStringTag: tag }; P.absoluteValue = P.abs = function() { var x = new this.constructor(this); if (x.s < 0) x.s = 1; return finalise(x); }; P.ceil = function() { return finalise(new this.constructor(this), this.e + 1, 2); }; P.clampedTo = P.clamp = function(min2, max2) { var k, x = this, Ctor = x.constructor; min2 = new Ctor(min2); max2 = new Ctor(max2); if (!min2.s || !max2.s) return new Ctor(NaN); if (min2.gt(max2)) throw Error(invalidArgument + max2); k = x.cmp(min2); return k < 0 ? min2 : x.cmp(max2) > 0 ? max2 : new Ctor(x); }; P.comparedTo = P.cmp = function(y) { var i, j, xdL, ydL, x = this, xd = x.d, yd = (y = new x.constructor(y)).d, xs = x.s, ys = y.s; if (!xd || !yd) { return !xs || !ys ? NaN : xs !== ys ? xs : xd === yd ? 0 : !xd ^ xs < 0 ? 1 : -1; } if (!xd[0] || !yd[0]) return xd[0] ? xs : yd[0] ? -ys : 0; if (xs !== ys) return xs; if (x.e !== y.e) return x.e > y.e ^ xs < 0 ? 1 : -1; xdL = xd.length; ydL = yd.length; for (i = 0, j = xdL < ydL ? xdL : ydL; i < j; ++i) { if (xd[i] !== yd[i]) return xd[i] > yd[i] ^ xs < 0 ? 1 : -1; } return xdL === ydL ? 0 : xdL > ydL ^ xs < 0 ? 1 : -1; }; P.cosine = P.cos = function() { var pr, rm, x = this, Ctor = x.constructor; if (!x.d) return new Ctor(NaN); if (!x.d[0]) return new Ctor(1); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE; Ctor.rounding = 1; x = cosine(Ctor, toLessThanHalfPi(Ctor, x)); Ctor.precision = pr; Ctor.rounding = rm; return finalise(quadrant == 2 || quadrant == 3 ? x.neg() : x, pr, rm, true); }; P.cubeRoot = P.cbrt = function() { var e, m, n, r, rep, s, sd, t, t3, t3plusx, x = this, Ctor = x.constructor; if (!x.isFinite() || x.isZero()) return new Ctor(x); external = false; s = x.s * mathpow(x.s * x, 1 / 3); if (!s || Math.abs(s) == 1 / 0) { n = digitsToString(x.d); e = x.e; if (s = (e - n.length + 1) % 3) n += s == 1 || s == -2 ? "0" : "00"; s = mathpow(n, 1 / 3); e = mathfloor((e + 1) / 3) - (e % 3 == (e < 0 ? -1 : 2)); if (s == 1 / 0) { n = "5e" + e; } else { n = s.toExponential(); n = n.slice(0, n.indexOf("e") + 1) + e; } r = new Ctor(n); r.s = x.s; } else { r = new Ctor(s.toString()); } sd = (e = Ctor.precision) + 3; for (; ; ) { t = r; t3 = t.times(t).times(t); t3plusx = t3.plus(x); r = divide(t3plusx.plus(x).times(t), t3plusx.plus(t3), sd + 2, 1); if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) { n = n.slice(sd - 3, sd + 1); if (n == "9999" || !rep && n == "4999") { if (!rep) { finalise(t, e + 1, 0); if (t.times(t).times(t).eq(x)) { r = t; break; } } sd += 4; rep = 1; } else { if (!+n || !+n.slice(1) && n.charAt(0) == "5") { finalise(r, e + 1, 1); m = !r.times(r).times(r).eq(x); } break; } } } external = true; return finalise(r, e, Ctor.rounding, m); }; P.decimalPlaces = P.dp = function() { var w, d = this.d, n = NaN; if (d) { w = d.length - 1; n = (w - mathfloor(this.e / LOG_BASE)) * LOG_BASE; w = d[w]; if (w) for (; w % 10 == 0; w /= 10) n--; if (n < 0) n = 0; } return n; }; P.dividedBy = P.div = function(y) { return divide(this, new this.constructor(y)); }; P.dividedToIntegerBy = P.divToInt = function(y) { var x = this, Ctor = x.constructor; return finalise(divide(x, new Ctor(y), 0, 1, 1), Ctor.precision, Ctor.rounding); }; P.equals = P.eq = function(y) { return this.cmp(y) === 0; }; P.floor = function() { return finalise(new this.constructor(this), this.e + 1, 3); }; P.greaterThan = P.gt = function(y) { return this.cmp(y) > 0; }; P.greaterThanOrEqualTo = P.gte = function(y) { var k = this.cmp(y); return k == 1 || k === 0; }; P.hyperbolicCosine = P.cosh = function() { var k, n, pr, rm, len, x = this, Ctor = x.constructor, one = new Ctor(1); if (!x.isFinite()) return new Ctor(x.s ? 1 / 0 : NaN); if (x.isZero()) return one; pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + Math.max(x.e, x.sd()) + 4; Ctor.rounding = 1; len = x.d.length; if (len < 32) { k = Math.ceil(len / 3); n = (1 / tinyPow(4, k)).toString(); } else { k = 16; n = "2.3283064365386962890625e-10"; } x = taylorSeries(Ctor, 1, x.times(n), new Ctor(1), true); var cosh2_x, i = k, d8 = new Ctor(8); for (; i--; ) { cosh2_x = x.times(x); x = one.minus(cosh2_x.times(d8.minus(cosh2_x.times(d8)))); } return finalise(x, Ctor.precision = pr, Ctor.rounding = rm, true); }; P.hyperbolicSine = P.sinh = function() { var k, pr, rm, len, x = this, Ctor = x.constructor; if (!x.isFinite() || x.isZero()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + Math.max(x.e, x.sd()) + 4; Ctor.rounding = 1; len = x.d.length; if (len < 3) { x = taylorSeries(Ctor, 2, x, x, true); } else { k = 1.4 * Math.sqrt(len); k = k > 16 ? 16 : k | 0; x = x.times(1 / tinyPow(5, k)); x = taylorSeries(Ctor, 2, x, x, true); var sinh2_x, d5 = new Ctor(5), d16 = new Ctor(16), d20 = new Ctor(20); for (; k--; ) { sinh2_x = x.times(x); x = x.times(d5.plus(sinh2_x.times(d16.times(sinh2_x).plus(d20)))); } } Ctor.precision = pr; Ctor.rounding = rm; return finalise(x, pr, rm, true); }; P.hyperbolicTangent = P.tanh = function() { var pr, rm, x = this, Ctor = x.constructor; if (!x.isFinite()) return new Ctor(x.s); if (x.isZero()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + 7; Ctor.rounding = 1; return divide(x.sinh(), x.cosh(), Ctor.precision = pr, Ctor.rounding = rm); }; P.inverseCosine = P.acos = function() { var halfPi, x = this, Ctor = x.constructor, k = x.abs().cmp(1), pr = Ctor.precision, rm = Ctor.rounding; if (k !== -1) { return k === 0 ? x.isNeg() ? getPi(Ctor, pr, rm) : new Ctor(0) : new Ctor(NaN); } if (x.isZero()) return getPi(Ctor, pr + 4, rm).times(0.5); Ctor.precision = pr + 6; Ctor.rounding = 1; x = x.asin(); halfPi = getPi(Ctor, pr + 4, rm).times(0.5); Ctor.precision = pr; Ctor.rounding = rm; return halfPi.minus(x); }; P.inverseHyperbolicCosine = P.acosh = function() { var pr, rm, x = this, Ctor = x.constructor; if (x.lte(1)) return new Ctor(x.eq(1) ? 0 : NaN); if (!x.isFinite()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + Math.max(Math.abs(x.e), x.sd()) + 4; Ctor.rounding = 1; external = false; x = x.times(x).minus(1).sqrt().plus(x); external = true; Ctor.precision = pr; Ctor.rounding = rm; return x.ln(); }; P.inverseHyperbolicSine = P.asinh = function() { var pr, rm, x = this, Ctor = x.constructor; if (!x.isFinite() || x.isZero()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + 2 * Math.max(Math.abs(x.e), x.sd()) + 6; Ctor.rounding = 1; external = false; x = x.times(x).plus(1).sqrt().plus(x); external = true; Ctor.precision = pr; Ctor.rounding = rm; return x.ln(); }; P.inverseHyperbolicTangent = P.atanh = function() { var pr, rm, wpr, xsd, x = this, Ctor = x.constructor; if (!x.isFinite()) return new Ctor(NaN); if (x.e >= 0) return new Ctor(x.abs().eq(1) ? x.s / 0 : x.isZero() ? x : NaN); pr = Ctor.precision; rm = Ctor.rounding; xsd = x.sd(); if (Math.max(xsd, pr) < 2 * -x.e - 1) return finalise(new Ctor(x), pr, rm, true); Ctor.precision = wpr = xsd - x.e; x = divide(x.plus(1), new Ctor(1).minus(x), wpr + pr, 1); Ctor.precision = pr + 4; Ctor.rounding = 1; x = x.ln(); Ctor.precision = pr; Ctor.rounding = rm; return x.times(0.5); }; P.inverseSine = P.asin = function() { var halfPi, k, pr, rm, x = this, Ctor = x.constructor; if (x.isZero()) return new Ctor(x); k = x.abs().cmp(1); pr = Ctor.precision; rm = Ctor.rounding; if (k !== -1) { if (k === 0) { halfPi = getPi(Ctor, pr + 4, rm).times(0.5); halfPi.s = x.s; return halfPi; } return new Ctor(NaN); } Ctor.precision = pr + 6; Ctor.rounding = 1; x = x.div(new Ctor(1).minus(x.times(x)).sqrt().plus(1)).atan(); Ctor.precision = pr; Ctor.rounding = rm; return x.times(2); }; P.inverseTangent = P.atan = function() { var i, j, k, n, px, t, r, wpr, x2, x = this, Ctor = x.constructor, pr = Ctor.precision, rm = Ctor.rounding; if (!x.isFinite()) { if (!x.s) return new Ctor(NaN); if (pr + 4 <= PI_PRECISION) { r = getPi(Ctor, pr + 4, rm).times(0.5); r.s = x.s; return r; } } else if (x.isZero()) { return new Ctor(x); } else if (x.abs().eq(1) && pr + 4 <= PI_PRECISION) { r = getPi(Ctor, pr + 4, rm).times(0.25); r.s = x.s; return r; } Ctor.precision = wpr = pr + 10; Ctor.rounding = 1; k = Math.min(28, wpr / LOG_BASE + 2 | 0); for (i = k; i; --i) x = x.div(x.times(x).plus(1).sqrt().plus(1)); external = false; j = Math.ceil(wpr / LOG_BASE); n = 1; x2 = x.times(x); r = new Ctor(x); px = x; for (; i !== -1; ) { px = px.times(x2); t = r.minus(px.div(n += 2)); px = px.times(x2); r = t.plus(px.div(n += 2)); if (r.d[j] !== void 0) for (i = j; r.d[i] === t.d[i] && i--; ) ; } if (k) r = r.times(2 << k - 1); external = true; return finalise(r, Ctor.precision = pr, Ctor.rounding = rm, true); }; P.isFinite = function() { return !!this.d; }; P.isInteger = P.isInt = function() { return !!this.d && mathfloor(this.e / LOG_BASE) > this.d.length - 2; }; P.isNaN = function() { return !this.s; }; P.isNegative = P.isNeg = function() { return this.s < 0; }; P.isPositive = P.isPos = function() { return this.s > 0; }; P.isZero = function() { return !!this.d && this.d[0] === 0; }; P.lessThan = P.lt = function(y) { return this.cmp(y) < 0; }; P.lessThanOrEqualTo = P.lte = function(y) { return this.cmp(y) < 1; }; P.logarithm = P.log = function(base) { var isBase10, d, denominator, k, inf, num, sd, r, arg = this, Ctor = arg.constructor, pr = Ctor.precision, rm = Ctor.rounding, guard = 5; if (base == null) { base = new Ctor(10); isBase10 = true; } else { base = new Ctor(base); d = base.d; if (base.s < 0 || !d || !d[0] || base.eq(1)) return new Ctor(NaN); isBase10 = base.eq(10); } d = arg.d; if (arg.s < 0 || !d || !d[0] || arg.eq(1)) { return new Ctor(d && !d[0] ? -1 / 0 : arg.s != 1 ? NaN : d ? 0 : 1 / 0); } if (isBase10) { if (d.length > 1) { inf = true; } else { for (k = d[0]; k % 10 === 0; ) k /= 10; inf = k !== 1; } } external = false; sd = pr + guard; num = naturalLogarithm(arg, sd); denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd); r = divide(num, denominator, sd, 1); if (checkRoundingDigits(r.d, k = pr, rm)) { do { sd += 10; num = naturalLogarithm(arg, sd); denominator = isBase10 ? getLn10(Ctor, sd + 10) : naturalLogarithm(base, sd); r = divide(num, denominator, sd, 1); if (!inf) { if (+digitsToString(r.d).slice(k + 1, k + 15) + 1 == 1e14) { r = finalise(r, pr + 1, 0); } break; } } while (checkRoundingDigits(r.d, k += 10, rm)); } external = true; return finalise(r, pr, rm); }; P.minus = P.sub = function(y) { var d, e, i, j, k, len, pr, rm, xd, xe, xLTy, yd, x = this, Ctor = x.constructor; y = new Ctor(y); if (!x.d || !y.d) { if (!x.s || !y.s) y = new Ctor(NaN); else if (x.d) y.s = -y.s; else y = new Ctor(y.d || x.s !== y.s ? x : NaN); return y; } if (x.s != y.s) { y.s = -y.s; return x.plus(y); } xd = x.d; yd = y.d; pr = Ctor.precision; rm = Ctor.rounding; if (!xd[0] || !yd[0]) { if (yd[0]) y.s = -y.s; else if (xd[0]) y = new Ctor(x); else return new Ctor(rm === 3 ? -0 : 0); return external ? finalise(y, pr, rm) : y; } e = mathfloor(y.e / LOG_BASE); xe = mathfloor(x.e / LOG_BASE); xd = xd.slice(); k = xe - e; if (k) { xLTy = k < 0; if (xLTy) { d = xd; k = -k; len = yd.length; } else { d = yd; e = xe; len = xd.length; } i = Math.max(Math.ceil(pr / LOG_BASE), len) + 2; if (k > i) { k = i; d.length = 1; } d.reverse(); for (i = k; i--; ) d.push(0); d.reverse(); } else { i = xd.length; len = yd.length; xLTy = i < len; if (xLTy) len = i; for (i = 0; i < len; i++) { if (xd[i] != yd[i]) { xLTy = xd[i] < yd[i]; break; } } k = 0; } if (xLTy) { d = xd; xd = yd; yd = d; y.s = -y.s; } len = xd.length; for (i = yd.length - len; i > 0; --i) xd[len++] = 0; for (i = yd.length; i > k; ) { if (xd[--i] < yd[i]) { for (j = i; j && xd[--j] === 0; ) xd[j] = BASE - 1; --xd[j]; xd[i] += BASE; } xd[i] -= yd[i]; } for (; xd[--len] === 0; ) xd.pop(); for (; xd[0] === 0; xd.shift()) --e; if (!xd[0]) return new Ctor(rm === 3 ? -0 : 0); y.d = xd; y.e = getBase10Exponent(xd, e); return external ? finalise(y, pr, rm) : y; }; P.modulo = P.mod = function(y) { var q, x = this, Ctor = x.constructor; y = new Ctor(y); if (!x.d || !y.s || y.d && !y.d[0]) return new Ctor(NaN); if (!y.d || x.d && !x.d[0]) { return finalise(new Ctor(x), Ctor.precision, Ctor.rounding); } external = false; if (Ctor.modulo == 9) { q = divide(x, y.abs(), 0, 3, 1); q.s *= y.s; } else { q = divide(x, y, 0, Ctor.modulo, 1); } q = q.times(y); external = true; return x.minus(q); }; P.naturalExponential = P.exp = function() { return naturalExponential(this); }; P.naturalLogarithm = P.ln = function() { return naturalLogarithm(this); }; P.negated = P.neg = function() { var x = new this.constructor(this); x.s = -x.s; return finalise(x); }; P.plus = P.add = function(y) { var carry, d, e, i, k, len, pr, rm, xd, yd, x = this, Ctor = x.constructor; y = new Ctor(y); if (!x.d || !y.d) { if (!x.s || !y.s) y = new Ctor(NaN); else if (!x.d) y = new Ctor(y.d || x.s === y.s ? x : NaN); return y; } if (x.s != y.s) { y.s = -y.s; return x.minus(y); } xd = x.d; yd = y.d; pr = Ctor.precision; rm = Ctor.rounding; if (!xd[0] || !yd[0]) { if (!yd[0]) y = new Ctor(x); return external ? finalise(y, pr, rm) : y; } k = mathfloor(x.e / LOG_BASE); e = mathfloor(y.e / LOG_BASE); xd = xd.slice(); i = k - e; if (i) { if (i < 0) { d = xd; i = -i; len = yd.length; } else { d = yd; e = k; len = xd.length; } k = Math.ceil(pr / LOG_BASE); len = k > len ? k + 1 : len + 1; if (i > len) { i = len; d.length = 1; } d.reverse(); for (; i--; ) d.push(0); d.reverse(); } len = xd.length; i = yd.length; if (len - i < 0) { i = len; d = yd; yd = xd; xd = d; } for (carry = 0; i; ) { carry = (xd[--i] = xd[i] + yd[i] + carry) / BASE | 0; xd[i] %= BASE; } if (carry) { xd.unshift(carry); ++e; } for (len = xd.length; xd[--len] == 0; ) xd.pop(); y.d = xd; y.e = getBase10Exponent(xd, e); return external ? finalise(y, pr, rm) : y; }; P.precision = P.sd = function(z) { var k, x = this; if (z !== void 0 && z !== !!z && z !== 1 && z !== 0) throw Error(invalidArgument + z); if (x.d) { k = getPrecision(x.d); if (z && x.e + 1 > k) k = x.e + 1; } else { k = NaN; } return k; }; P.round = function() { var x = this, Ctor = x.constructor; return finalise(new Ctor(x), x.e + 1, Ctor.rounding); }; P.sine = P.sin = function() { var pr, rm, x = this, Ctor = x.constructor; if (!x.isFinite()) return new Ctor(NaN); if (x.isZero()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + Math.max(x.e, x.sd()) + LOG_BASE; Ctor.rounding = 1; x = sine(Ctor, toLessThanHalfPi(Ctor, x)); Ctor.precision = pr; Ctor.rounding = rm; return finalise(quadrant > 2 ? x.neg() : x, pr, rm, true); }; P.squareRoot = P.sqrt = function() { var m, n, sd, r, rep, t, x = this, d = x.d, e = x.e, s = x.s, Ctor = x.constructor; if (s !== 1 || !d || !d[0]) { return new Ctor(!s || s < 0 && (!d || d[0]) ? NaN : d ? x : 1 / 0); } external = false; s = Math.sqrt(+x); if (s == 0 || s == 1 / 0) { n = digitsToString(d); if ((n.length + e) % 2 == 0) n += "0"; s = Math.sqrt(n); e = mathfloor((e + 1) / 2) - (e < 0 || e % 2); if (s == 1 / 0) { n = "5e" + e; } else { n = s.toExponential(); n = n.slice(0, n.indexOf("e") + 1) + e; } r = new Ctor(n); } else { r = new Ctor(s.toString()); } sd = (e = Ctor.precision) + 3; for (; ; ) { t = r; r = t.plus(divide(x, t, sd + 2, 1)).times(0.5); if (digitsToString(t.d).slice(0, sd) === (n = digitsToString(r.d)).slice(0, sd)) { n = n.slice(sd - 3, sd + 1); if (n == "9999" || !rep && n == "4999") { if (!rep) { finalise(t, e + 1, 0); if (t.times(t).eq(x)) { r = t; break; } } sd += 4; rep = 1; } else { if (!+n || !+n.slice(1) && n.charAt(0) == "5") { finalise(r, e + 1, 1); m = !r.times(r).eq(x); } break; } } } external = true; return finalise(r, e, Ctor.rounding, m); }; P.tangent = P.tan = function() { var pr, rm, x = this, Ctor = x.constructor; if (!x.isFinite()) return new Ctor(NaN); if (x.isZero()) return new Ctor(x); pr = Ctor.precision; rm = Ctor.rounding; Ctor.precision = pr + 10; Ctor.rounding = 1; x = x.sin(); x.s = 1; x = divide(x, new Ctor(1).minus(x.times(x)).sqrt(), pr + 10, 0); Ctor.precision = pr; Ctor.rounding = rm; return finalise(quadrant == 2 || quadrant == 4 ? x.neg() : x, pr, rm, true); }; P.times = P.mul = function(y) { var carry, e, i, k, r, rL, t, xdL, ydL, x = this, Ctor = x.constructor, xd = x.d, yd = (y = new Ctor(y)).d; y.s *= x.s; if (!xd || !xd[0] || !yd || !yd[0]) { return new Ctor(!y.s || xd && !xd[0] && !yd || yd && !yd[0] && !xd ? NaN : !xd || !yd ? y.s / 0 : y.s * 0); } e = mathfloor(x.e / LOG_BASE) + mathfloor(y.e / LOG_BASE); xdL = xd.length; ydL = yd.length; if (xdL < ydL) { r = xd; xd = yd; yd = r; rL = xdL; xdL = ydL; ydL = rL; } r = []; rL = xdL + ydL; for (i = rL; i--; ) r.push(0); for (i = ydL; --i >= 0; ) { carry = 0; for (k = xdL + i; k > i; ) { t = r[k] + yd[i] * xd[k - i - 1] + carry; r[k--] = t % BASE | 0; carry = t / BASE | 0; } r[k] = (r[k] + carry) % BASE | 0; } for (; !r[--rL]; ) r.pop(); if (carry) ++e; else r.shift(); y.d = r; y.e = getBase10Exponent(r, e); return external ? finalise(y, Ctor.precision, Ctor.rounding) : y; }; P.toBinary = function(sd, rm) { return toStringBinary(this, 2, sd, rm); }; P.toDecimalPlaces = P.toDP = function(dp, rm) { var x = this, Ctor = x.constructor; x = new Ctor(x); if (dp === void 0) return x; checkInt32(dp, 0, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); return finalise(x, dp + x.e + 1, rm); }; P.toExponential = function(dp, rm) { var str, x = this, Ctor = x.constructor; if (dp === void 0) { str = finiteToString(x, true); } else { checkInt32(dp, 0, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); x = finalise(new Ctor(x), dp + 1, rm); str = finiteToString(x, true, dp + 1); } return x.isNeg() && !x.isZero() ? "-" + str : str; }; P.toFixed = function(dp, rm) { var str, y, x = this, Ctor = x.constructor; if (dp === void 0) { str = finiteToString(x); } else { checkInt32(dp, 0, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); y = finalise(new Ctor(x), dp + x.e + 1, rm); str = finiteToString(y, false, dp + y.e + 1); } return x.isNeg() && !x.isZero() ? "-" + str : str; }; P.toFraction = function(maxD) { var d, d0, d1, d2, e, k, n, n0, n1, pr, q, r, x = this, xd = x.d, Ctor = x.constructor; if (!xd) return new Ctor(x); n1 = d0 = new Ctor(1); d1 = n0 = new Ctor(0); d = new Ctor(d1); e = d.e = getPrecision(xd) - x.e - 1; k = e % LOG_BASE; d.d[0] = mathpow(10, k < 0 ? LOG_BASE + k : k); if (maxD == null) { maxD = e > 0 ? d : n1; } else { n = new Ctor(maxD); if (!n.isInt() || n.lt(n1)) throw Error(invalidArgument + n); maxD = n.gt(d) ? e > 0 ? d : n1 : n; } external = false; n = new Ctor(digitsToString(xd)); pr = Ctor.precision; Ctor.precision = e = xd.length * LOG_BASE * 2; for (; ; ) { q = divide(n, d, 0, 1, 1); d2 = d0.plus(q.times(d1)); if (d2.cmp(maxD) == 1) break; d0 = d1; d1 = d2; d2 = n1; n1 = n0.plus(q.times(d2)); n0 = d2; d2 = d; d = n.minus(q.times(d2)); n = d2; } d2 = divide(maxD.minus(d0), d1, 0, 1, 1); n0 = n0.plus(d2.times(n1)); d0 = d0.plus(d2.times(d1)); n0.s = n1.s = x.s; r = divide(n1, d1, e, 1).minus(x).abs().cmp(divide(n0, d0, e, 1).minus(x).abs()) < 1 ? [n1, d1] : [n0, d0]; Ctor.precision = pr; external = true; return r; }; P.toHexadecimal = P.toHex = function(sd, rm) { return toStringBinary(this, 16, sd, rm); }; P.toNearest = function(y, rm) { var x = this, Ctor = x.constructor; x = new Ctor(x); if (y == null) { if (!x.d) return x; y = new Ctor(1); rm = Ctor.rounding; } else { y = new Ctor(y); if (rm === void 0) { rm = Ctor.rounding; } else { checkInt32(rm, 0, 8); } if (!x.d) return y.s ? x : y; if (!y.d) { if (y.s) y.s = x.s; return y; } } if (y.d[0]) { external = false; x = divide(x, y, 0, rm, 1).times(y); external = true; finalise(x); } else { y.s = x.s; x = y; } return x; }; P.toNumber = function() { return +this; }; P.toOctal = function(sd, rm) { return toStringBinary(this, 8, sd, rm); }; P.toPower = P.pow = function(y) { var e, k, pr, r, rm, s, x = this, Ctor = x.constructor, yn = +(y = new Ctor(y)); if (!x.d || !y.d || !x.d[0] || !y.d[0]) return new Ctor(mathpow(+x, yn)); x = new Ctor(x); if (x.eq(1)) return x; pr = Ctor.precision; rm = Ctor.rounding; if (y.eq(1)) return finalise(x, pr, rm); e = mathfloor(y.e / LOG_BASE); if (e >= y.d.length - 1 && (k = yn < 0 ? -yn : yn) <= MAX_SAFE_INTEGER) { r = intPow(Ctor, x, k, pr); return y.s < 0 ? new Ctor(1).div(r) : finalise(r, pr, rm); } s = x.s; if (s < 0) { if (e < y.d.length - 1) return new Ctor(NaN); if ((y.d[e] & 1) == 0) s = 1; if (x.e == 0 && x.d[0] == 1 && x.d.length == 1) { x.s = s; return x; } } k = mathpow(+x, yn); e = k == 0 || !isFinite(k) ? mathfloor(yn * (Math.log("0." + digitsToString(x.d)) / Math.LN10 + x.e + 1)) : new Ctor(k + "").e; if (e > Ctor.maxE + 1 || e < Ctor.minE - 1) return new Ctor(e > 0 ? s / 0 : 0); external = false; Ctor.rounding = x.s = 1; k = Math.min(12, (e + "").length); r = naturalExponential(y.times(naturalLogarithm(x, pr + k)), pr); if (r.d) { r = finalise(r, pr + 5, 1); if (checkRoundingDigits(r.d, pr, rm)) { e = pr + 10; r = finalise(naturalExponential(y.times(naturalLogarithm(x, e + k)), e), e + 5, 1); if (+digitsToString(r.d).slice(pr + 1, pr + 15) + 1 == 1e14) { r = finalise(r, pr + 1, 0); } } } r.s = s; external = true; Ctor.rounding = rm; return finalise(r, pr, rm); }; P.toPrecision = function(sd, rm) { var str, x = this, Ctor = x.constructor; if (sd === void 0) { str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos); } else { checkInt32(sd, 1, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); x = finalise(new Ctor(x), sd, rm); str = finiteToString(x, sd <= x.e || x.e <= Ctor.toExpNeg, sd); } return x.isNeg() && !x.isZero() ? "-" + str : str; }; P.toSignificantDigits = P.toSD = function(sd, rm) { var x = this, Ctor = x.constructor; if (sd === void 0) { sd = Ctor.precision; rm = Ctor.rounding; } else { checkInt32(sd, 1, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); } return finalise(new Ctor(x), sd, rm); }; P.toString = function() { var x = this, Ctor = x.constructor, str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos); return x.isNeg() && !x.isZero() ? "-" + str : str; }; P.truncated = P.trunc = function() { return finalise(new this.constructor(this), this.e + 1, 1); }; P.valueOf = P.toJSON = function() { var x = this, Ctor = x.constructor, str = finiteToString(x, x.e <= Ctor.toExpNeg || x.e >= Ctor.toExpPos); return x.isNeg() ? "-" + str : str; }; function digitsToString(d) { var i, k, ws, indexOfLastWord = d.length - 1, str = "", w = d[0]; if (indexOfLastWord > 0) { str += w; for (i = 1; i < indexOfLastWord; i++) { ws = d[i] + ""; k = LOG_BASE - ws.length; if (k) str += getZeroString(k); str += ws; } w = d[i]; ws = w + ""; k = LOG_BASE - ws.length; if (k) str += getZeroString(k); } else if (w === 0) { return "0"; } for (; w % 10 === 0; ) w /= 10; return str + w; } __name(digitsToString, "digitsToString"); function checkInt32(i, min2, max2) { if (i !== ~~i || i < min2 || i > max2) { throw Error(invalidArgument + i); } } __name(checkInt32, "checkInt32"); function checkRoundingDigits(d, i, rm, repeating) { var di, k, r, rd; for (k = d[0]; k >= 10; k /= 10) --i; if (--i < 0) { i += LOG_BASE; di = 0; } else { di = Math.ceil((i + 1) / LOG_BASE); i %= LOG_BASE; } k = mathpow(10, LOG_BASE - i); rd = d[di] % k | 0; if (repeating == null) { if (i < 3) { if (i == 0) rd = rd / 100 | 0; else if (i == 1) rd = rd / 10 | 0; r = rm < 4 && rd == 99999 || rm > 3 && rd == 49999 || rd == 5e4 || rd == 0; } else { r = (rm < 4 && rd + 1 == k || rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 100 | 0) == mathpow(10, i - 2) - 1 || (rd == k / 2 || rd == 0) && (d[di + 1] / k / 100 | 0) == 0; } } else { if (i < 4) { if (i == 0) rd = rd / 1e3 | 0; else if (i == 1) rd = rd / 100 | 0; else if (i == 2) rd = rd / 10 | 0; r = (repeating || rm < 4) && rd == 9999 || !repeating && rm > 3 && rd == 4999; } else { r = ((repeating || rm < 4) && rd + 1 == k || !repeating && rm > 3 && rd + 1 == k / 2) && (d[di + 1] / k / 1e3 | 0) == mathpow(10, i - 3) - 1; } } return r; } __name(checkRoundingDigits, "checkRoundingDigits"); function convertBase(str, baseIn, baseOut) { var j, arr = [0], arrL, i = 0, strL = str.length; for (; i < strL; ) { for (arrL = arr.length; arrL--; ) arr[arrL] *= baseIn; arr[0] += NUMERALS.indexOf(str.charAt(i++)); for (j = 0; j < arr.length; j++) { if (arr[j] > baseOut - 1) { if (arr[j + 1] === void 0) arr[j + 1] = 0; arr[j + 1] += arr[j] / baseOut | 0; arr[j] %= baseOut; } } } return arr.reverse(); } __name(convertBase, "convertBase"); function cosine(Ctor, x) { var k, len, y; if (x.isZero()) return x; len = x.d.length; if (len < 32) { k = Math.ceil(len / 3); y = (1 / tinyPow(4, k)).toString(); } else { k = 16; y = "2.3283064365386962890625e-10"; } Ctor.precision += k; x = taylorSeries(Ctor, 1, x.times(y), new Ctor(1)); for (var i = k; i--; ) { var cos2x = x.times(x); x = cos2x.times(cos2x).minus(cos2x).times(8).plus(1); } Ctor.precision -= k; return x; } __name(cosine, "cosine"); var divide = function() { function multiplyInteger(x, k, base) { var temp, carry = 0, i = x.length; for (x = x.slice(); i--; ) { temp = x[i] * k + carry; x[i] = temp % base | 0; carry = temp / base | 0; } if (carry) x.unshift(carry); return x; } __name(multiplyInteger, "multiplyInteger"); function compare(a, b, aL, bL) { var i, r; if (aL != bL) { r = aL > bL ? 1 : -1; } else { for (i = r = 0; i < aL; i++) { if (a[i] != b[i]) { r = a[i] > b[i] ? 1 : -1; break; } } } return r; } __name(compare, "compare"); function subtract(a, b, aL, base) { var i = 0; for (; aL--; ) { a[aL] -= i; i = a[aL] < b[aL] ? 1 : 0; a[aL] = i * base + a[aL] - b[aL]; } for (; !a[0] && a.length > 1; ) a.shift(); } __name(subtract, "subtract"); return function(x, y, pr, rm, dp, base) { var cmp, e, i, k, logBase, more, prod, prodL, q, qd, rem, remL, rem0, sd, t, xi, xL, yd0, yL, yz, Ctor = x.constructor, sign2 = x.s == y.s ? 1 : -1, xd = x.d, yd = y.d; if (!xd || !xd[0] || !yd || !yd[0]) { return new Ctor( !x.s || !y.s || (xd ? yd && xd[0] == yd[0] : !yd) ? NaN : xd && xd[0] == 0 || !yd ? sign2 * 0 : sign2 / 0 ); } if (base) { logBase = 1; e = x.e - y.e; } else { base = BASE; logBase = LOG_BASE; e = mathfloor(x.e / logBase) - mathfloor(y.e / logBase); } yL = yd.length; xL = xd.length; q = new Ctor(sign2); qd = q.d = []; for (i = 0; yd[i] == (xd[i] || 0); i++) ; if (yd[i] > (xd[i] || 0)) e--; if (pr == null) { sd = pr = Ctor.precision; rm = Ctor.rounding; } else if (dp) { sd = pr + (x.e - y.e) + 1; } else { sd = pr; } if (sd < 0) { qd.push(1); more = true; } else { sd = sd / logBase + 2 | 0; i = 0; if (yL == 1) { k = 0; yd = yd[0]; sd++; for (; (i < xL || k) && sd--; i++) { t = k * base + (xd[i] || 0); qd[i] = t / yd | 0; k = t % yd | 0; } more = k || i < xL; } else { k = base / (yd[0] + 1) | 0; if (k > 1) { yd = multiplyInteger(yd, k, base); xd = multiplyInteger(xd, k, base); yL = yd.length; xL = xd.length; } xi = yL; rem = xd.slice(0, yL); remL = rem.length; for (; remL < yL; ) rem[remL++] = 0; yz = yd.slice(); yz.unshift(0); yd0 = yd[0]; if (yd[1] >= base / 2) ++yd0; do { k = 0; cmp = compare(yd, rem, yL, remL); if (cmp < 0) { rem0 = rem[0]; if (yL != remL) rem0 = rem0 * base + (rem[1] || 0); k = rem0 / yd0 | 0; if (k > 1) { if (k >= base) k = base - 1; prod = multiplyInteger(yd, k, base); prodL = prod.length; remL = rem.length; cmp = compare(prod, rem, prodL, remL); if (cmp == 1) { k--; subtract(prod, yL < prodL ? yz : yd, prodL, base); } } else { if (k == 0) cmp = k = 1; prod = yd.slice(); } prodL = prod.length; if (prodL < remL) prod.unshift(0); subtract(rem, prod, remL, base); if (cmp == -1) { remL = rem.length; cmp = compare(yd, rem, yL, remL); if (cmp < 1) { k++; subtract(rem, yL < remL ? yz : yd, remL, base); } } remL = rem.length; } else if (cmp === 0) { k++; rem = [0]; } qd[i++] = k; if (cmp && rem[0]) { rem[remL++] = xd[xi] || 0; } else { rem = [xd[xi]]; remL = 1; } } while ((xi++ < xL || rem[0] !== void 0) && sd--); more = rem[0] !== void 0; } if (!qd[0]) qd.shift(); } if (logBase == 1) { q.e = e; inexact = more; } else { for (i = 1, k = qd[0]; k >= 10; k /= 10) i++; q.e = i + e * logBase - 1; finalise(q, dp ? pr + q.e + 1 : pr, rm, more); } return q; }; }(); function finalise(x, sd, rm, isTruncated) { var digits, i, j, k, rd, roundUp, w, xd, xdi, Ctor = x.constructor; out: if (sd != null) { xd = x.d; if (!xd) return x; for (digits = 1, k = xd[0]; k >= 10; k /= 10) digits++; i = sd - digits; if (i < 0) { i += LOG_BASE; j = sd; w = xd[xdi = 0]; rd = w / mathpow(10, digits - j - 1) % 10 | 0; } else { xdi = Math.ceil((i + 1) / LOG_BASE); k = xd.length; if (xdi >= k) { if (isTruncated) { for (; k++ <= xdi; ) xd.push(0); w = rd = 0; digits = 1; i %= LOG_BASE; j = i - LOG_BASE + 1; } else { break out; } } else { w = k = xd[xdi]; for (digits = 1; k >= 10; k /= 10) digits++; i %= LOG_BASE; j = i - LOG_BASE + digits; rd = j < 0 ? 0 : w / mathpow(10, digits - j - 1) % 10 | 0; } } isTruncated = isTruncated || sd < 0 || xd[xdi + 1] !== void 0 || (j < 0 ? w : w % mathpow(10, digits - j - 1)); roundUp = rm < 4 ? (rd || isTruncated) && (rm == 0 || rm == (x.s < 0 ? 3 : 2)) : rd > 5 || rd == 5 && (rm == 4 || isTruncated || rm == 6 && (i > 0 ? j > 0 ? w / mathpow(10, digits - j) : 0 : xd[xdi - 1]) % 10 & 1 || rm == (x.s < 0 ? 8 : 7)); if (sd < 1 || !xd[0]) { xd.length = 0; if (roundUp) { sd -= x.e + 1; xd[0] = mathpow(10, (LOG_BASE - sd % LOG_BASE) % LOG_BASE); x.e = -sd || 0; } else { xd[0] = x.e = 0; } return x; } if (i == 0) { xd.length = xdi; k = 1; xdi--; } else { xd.length = xdi + 1; k = mathpow(10, LOG_BASE - i); xd[xdi] = j > 0 ? (w / mathpow(10, digits - j) % mathpow(10, j) | 0) * k : 0; } if (roundUp) { for (; ; ) { if (xdi == 0) { for (i = 1, j = xd[0]; j >= 10; j /= 10) i++; j = xd[0] += k; for (k = 1; j >= 10; j /= 10) k++; if (i != k) { x.e++; if (xd[0] == BASE) xd[0] = 1; } break; } else { xd[xdi] += k; if (xd[xdi] != BASE) break; xd[xdi--] = 0; k = 1; } } } for (i = xd.length; xd[--i] === 0; ) xd.pop(); } if (external) { if (x.e > Ctor.maxE) { x.d = null; x.e = NaN; } else if (x.e < Ctor.minE) { x.e = 0; x.d = [0]; } } return x; } __name(finalise, "finalise"); function finiteToString(x, isExp, sd) { if (!x.isFinite()) return nonFiniteToString(x); var k, e = x.e, str = digitsToString(x.d), len = str.length; if (isExp) { if (sd && (k = sd - len) > 0) { str = str.charAt(0) + "." + str.slice(1) + getZeroString(k); } else if (len > 1) { str = str.charAt(0) + "." + str.slice(1); } str = str + (x.e < 0 ? "e" : "e+") + x.e; } else if (e < 0) { str = "0." + getZeroString(-e - 1) + str; if (sd && (k = sd - len) > 0) str += getZeroString(k); } else if (e >= len) { str += getZeroString(e + 1 - len); if (sd && (k = sd - e - 1) > 0) str = str + "." + getZeroString(k); } else { if ((k = e + 1) < len) str = str.slice(0, k) + "." + str.slice(k); if (sd && (k = sd - len) > 0) { if (e + 1 === len) str += "."; str += getZeroString(k); } } return str; } __name(finiteToString, "finiteToString"); function getBase10Exponent(digits, e) { var w = digits[0]; for (e *= LOG_BASE; w >= 10; w /= 10) e++; return e; } __name(getBase10Exponent, "getBase10Exponent"); function getLn10(Ctor, sd, pr) { if (sd > LN10_PRECISION) { external = true; if (pr) Ctor.precision = pr; throw Error(precisionLimitExceeded); } return finalise(new Ctor(LN10), sd, 1, true); } __name(getLn10, "getLn10"); function getPi(Ctor, sd, rm) { if (sd > PI_PRECISION) throw Error(precisionLimitExceeded); return finalise(new Ctor(PI), sd, rm, true); } __name(getPi, "getPi"); function getPrecision(digits) { var w = digits.length - 1, len = w * LOG_BASE + 1; w = digits[w]; if (w) { for (; w % 10 == 0; w /= 10) len--; for (w = digits[0]; w >= 10; w /= 10) len++; } return len; } __name(getPrecision, "getPrecision"); function getZeroString(k) { var zs = ""; for (; k--; ) zs += "0"; return zs; } __name(getZeroString, "getZeroString"); function intPow(Ctor, x, n, pr) { var isTruncated, r = new Ctor(1), k = Math.ceil(pr / LOG_BASE + 4); external = false; for (; ; ) { if (n % 2) { r = r.times(x); if (truncate(r.d, k)) isTruncated = true; } n = mathfloor(n / 2); if (n === 0) { n = r.d.length - 1; if (isTruncated && r.d[n] === 0) ++r.d[n]; break; } x = x.times(x); truncate(x.d, k); } external = true; return r; } __name(intPow, "intPow"); function isOdd(n) { return n.d[n.d.length - 1] & 1; } __name(isOdd, "isOdd"); function maxOrMin(Ctor, args, ltgt) { var y, x = new Ctor(args[0]), i = 0; for (; ++i < args.length; ) { y = new Ctor(args[i]); if (!y.s) { x = y; break; } else if (x[ltgt](y)) { x = y; } } return x; } __name(maxOrMin, "maxOrMin"); function naturalExponential(x, sd) { var denominator, guard, j, pow2, sum2, t, wpr, rep = 0, i = 0, k = 0, Ctor = x.constructor, rm = Ctor.rounding, pr = Ctor.precision; if (!x.d || !x.d[0] || x.e > 17) { return new Ctor(x.d ? !x.d[0] ? 1 : x.s < 0 ? 0 : 1 / 0 : x.s ? x.s < 0 ? 0 : x : 0 / 0); } if (sd == null) { external = false; wpr = pr; } else { wpr = sd; } t = new Ctor(0.03125); while (x.e > -2) { x = x.times(t); k += 5; } guard = Math.log(mathpow(2, k)) / Math.LN10 * 2 + 5 | 0; wpr += guard; denominator = pow2 = sum2 = new Ctor(1); Ctor.precision = wpr; for (; ; ) { pow2 = finalise(pow2.times(x), wpr, 1); denominator = denominator.times(++i); t = sum2.plus(divide(pow2, denominator, wpr, 1)); if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum2.d).slice(0, wpr)) { j = k; while (j--) sum2 = finalise(sum2.times(sum2), wpr, 1); if (sd == null) { if (rep < 3 && checkRoundingDigits(sum2.d, wpr - guard, rm, rep)) { Ctor.precision = wpr += 10; denominator = pow2 = t = new Ctor(1); i = 0; rep++; } else { return finalise(sum2, Ctor.precision = pr, rm, external = true); } } else { Ctor.precision = pr; return sum2; } } sum2 = t; } } __name(naturalExponential, "naturalExponential"); function naturalLogarithm(y, sd) { var c, c0, denominator, e, numerator, rep, sum2, t, wpr, x1, x2, n = 1, guard = 10, x = y, xd = x.d, Ctor = x.constructor, rm = Ctor.rounding, pr = Ctor.precision; if (x.s < 0 || !xd || !xd[0] || !x.e && xd[0] == 1 && xd.length == 1) { return new Ctor(xd && !xd[0] ? -1 / 0 : x.s != 1 ? NaN : xd ? 0 : x); } if (sd == null) { external = false; wpr = pr; } else { wpr = sd; } Ctor.precision = wpr += guard; c = digitsToString(xd); c0 = c.charAt(0); if (Math.abs(e = x.e) < 15e14) { while (c0 < 7 && c0 != 1 || c0 == 1 && c.charAt(1) > 3) { x = x.times(y); c = digitsToString(x.d); c0 = c.charAt(0); n++; } e = x.e; if (c0 > 1) { x = new Ctor("0." + c); e++; } else { x = new Ctor(c0 + "." + c.slice(1)); } } else { t = getLn10(Ctor, wpr + 2, pr).times(e + ""); x = naturalLogarithm(new Ctor(c0 + "." + c.slice(1)), wpr - guard).plus(t); Ctor.precision = pr; return sd == null ? finalise(x, pr, rm, external = true) : x; } x1 = x; sum2 = numerator = x = divide(x.minus(1), x.plus(1), wpr, 1); x2 = finalise(x.times(x), wpr, 1); denominator = 3; for (; ; ) { numerator = finalise(numerator.times(x2), wpr, 1); t = sum2.plus(divide(numerator, new Ctor(denominator), wpr, 1)); if (digitsToString(t.d).slice(0, wpr) === digitsToString(sum2.d).slice(0, wpr)) { sum2 = sum2.times(2); if (e !== 0) sum2 = sum2.plus(getLn10(Ctor, wpr + 2, pr).times(e + "")); sum2 = divide(sum2, new Ctor(n), wpr, 1); if (sd == null) { if (checkRoundingDigits(sum2.d, wpr - guard, rm, rep)) { Ctor.precision = wpr += guard; t = numerator = x = divide(x1.minus(1), x1.plus(1), wpr, 1); x2 = finalise(x.times(x), wpr, 1); denominator = rep = 1; } else { return finalise(sum2, Ctor.precision = pr, rm, external = true); } } else { Ctor.precision = pr; return sum2; } } sum2 = t; denominator += 2; } } __name(naturalLogarithm, "naturalLogarithm"); function nonFiniteToString(x) { return String(x.s * x.s / 0); } __name(nonFiniteToString, "nonFiniteToString"); function parseDecimal(x, str) { var e, i, len; if ((e = str.indexOf(".")) > -1) str = str.replace(".", ""); if ((i = str.search(/e/i)) > 0) { if (e < 0) e = i; e += +str.slice(i + 1); str = str.substring(0, i); } else if (e < 0) { e = str.length; } for (i = 0; str.charCodeAt(i) === 48; i++) ; for (len = str.length; str.charCodeAt(len - 1) === 48; --len) ; str = str.slice(i, len); if (str) { len -= i; x.e = e = e - i - 1; x.d = []; i = (e + 1) % LOG_BASE; if (e < 0) i += LOG_BASE; if (i < len) { if (i) x.d.push(+str.slice(0, i)); for (len -= LOG_BASE; i < len; ) x.d.push(+str.slice(i, i += LOG_BASE)); str = str.slice(i); i = LOG_BASE - str.length; } else { i -= len; } for (; i--; ) str += "0"; x.d.push(+str); if (external) { if (x.e > x.constructor.maxE) { x.d = null; x.e = NaN; } else if (x.e < x.constructor.minE) { x.e = 0; x.d = [0]; } } } else { x.e = 0; x.d = [0]; } return x; } __name(parseDecimal, "parseDecimal"); function parseOther(x, str) { var base, Ctor, divisor, i, isFloat, len, p, xd, xe; if (str.indexOf("_") > -1) { str = str.replace(/(\d)_(?=\d)/g, "$1"); if (isDecimal.test(str)) return parseDecimal(x, str); } else if (str === "Infinity" || str === "NaN") { if (!+str) x.s = NaN; x.e = NaN; x.d = null; return x; } if (isHex.test(str)) { base = 16; str = str.toLowerCase(); } else if (isBinary.test(str)) { base = 2; } else if (isOctal.test(str)) { base = 8; } else { throw Error(invalidArgument + str); } i = str.search(/p/i); if (i > 0) { p = +str.slice(i + 1); str = str.substring(2, i); } else { str = str.slice(2); } i = str.indexOf("."); isFloat = i >= 0; Ctor = x.constructor; if (isFloat) { str = str.replace(".", ""); len = str.length; i = len - i; divisor = intPow(Ctor, new Ctor(base), i, i * 2); } xd = convertBase(str, base, BASE); xe = xd.length - 1; for (i = xe; xd[i] === 0; --i) xd.pop(); if (i < 0) return new Ctor(x.s * 0); x.e = getBase10Exponent(xd, xe); x.d = xd; external = false; if (isFloat) x = divide(x, divisor, len * 4); if (p) x = x.times(Math.abs(p) < 54 ? mathpow(2, p) : Decimal.pow(2, p)); external = true; return x; } __name(parseOther, "parseOther"); function sine(Ctor, x) { var k, len = x.d.length; if (len < 3) { return x.isZero() ? x : taylorSeries(Ctor, 2, x, x); } k = 1.4 * Math.sqrt(len); k = k > 16 ? 16 : k | 0; x = x.times(1 / tinyPow(5, k)); x = taylorSeries(Ctor, 2, x, x); var sin2_x, d5 = new Ctor(5), d16 = new Ctor(16), d20 = new Ctor(20); for (; k--; ) { sin2_x = x.times(x); x = x.times(d5.plus(sin2_x.times(d16.times(sin2_x).minus(d20)))); } return x; } __name(sine, "sine"); function taylorSeries(Ctor, n, x, y, isHyperbolic) { var j, t, u, x2, i = 1, pr = Ctor.precision, k = Math.ceil(pr / LOG_BASE); external = false; x2 = x.times(x); u = new Ctor(y); for (; ; ) { t = divide(u.times(x2), new Ctor(n++ * n++), pr, 1); u = isHyperbolic ? y.plus(t) : y.minus(t); y = divide(t.times(x2), new Ctor(n++ * n++), pr, 1); t = u.plus(y); if (t.d[k] !== void 0) { for (j = k; t.d[j] === u.d[j] && j--; ) ; if (j == -1) break; } j = u; u = y; y = t; t = j; i++; } external = true; t.d.length = k + 1; return t; } __name(taylorSeries, "taylorSeries"); function tinyPow(b, e) { var n = b; while (--e) n *= b; return n; } __name(tinyPow, "tinyPow"); function toLessThanHalfPi(Ctor, x) { var t, isNeg = x.s < 0, pi = getPi(Ctor, Ctor.precision, 1), halfPi = pi.times(0.5); x = x.abs(); if (x.lte(halfPi)) { quadrant = isNeg ? 4 : 1; return x; } t = x.divToInt(pi); if (t.isZero()) { quadrant = isNeg ? 3 : 2; } else { x = x.minus(t.times(pi)); if (x.lte(halfPi)) { quadrant = isOdd(t) ? isNeg ? 2 : 3 : isNeg ? 4 : 1; return x; } quadrant = isOdd(t) ? isNeg ? 1 : 4 : isNeg ? 3 : 2; } return x.minus(pi).abs(); } __name(toLessThanHalfPi, "toLessThanHalfPi"); function toStringBinary(x, baseOut, sd, rm) { var base, e, i, k, len, roundUp, str, xd, y, Ctor = x.constructor, isExp = sd !== void 0; if (isExp) { checkInt32(sd, 1, MAX_DIGITS); if (rm === void 0) rm = Ctor.rounding; else checkInt32(rm, 0, 8); } else { sd = Ctor.precision; rm = Ctor.rounding; } if (!x.isFinite()) { str = nonFiniteToString(x); } else { str = finiteToString(x); i = str.indexOf("."); if (isExp) { base = 2; if (baseOut == 16) { sd = sd * 4 - 3; } else if (baseOut == 8) { sd = sd * 3 - 2; } } else { base = baseOut; } if (i >= 0) { str = str.replace(".", ""); y = new Ctor(1); y.e = str.length - i; y.d = convertBase(finiteToString(y), 10, base); y.e = y.d.length; } xd = convertBase(str, 10, base); e = len = xd.length; for (; xd[--len] == 0; ) xd.pop(); if (!xd[0]) { str = isExp ? "0p+0" : "0"; } else { if (i < 0) { e--; } else { x = new Ctor(x); x.d = xd; x.e = e; x = divide(x, y, sd, rm, 0, base); xd = x.d; e = x.e; roundUp = inexact; } i = xd[sd]; k = base / 2; roundUp = roundUp || xd[sd + 1] !== void 0; roundUp = rm < 4 ? (i !== void 0 || roundUp) && (rm === 0 || rm === (x.s < 0 ? 3 : 2)) : i > k || i === k && (rm === 4 || roundUp || rm === 6 && xd[sd - 1] & 1 || rm === (x.s < 0 ? 8 : 7)); xd.length = sd; if (roundUp) { for (; ++xd[--sd] > base - 1; ) { xd[sd] = 0; if (!sd) { ++e; xd.unshift(1); } } } for (len = xd.length; !xd[len - 1]; --len) ; for (i = 0, str = ""; i < len; i++) str += NUMERALS.charAt(xd[i]); if (isExp) { if (len > 1) { if (baseOut == 16 || baseOut == 8) { i = baseOut == 16 ? 4 : 3; for (--len; len % i; len++) str += "0"; xd = convertBase(str, base, baseOut); for (len = xd.length; !xd[len - 1]; --len) ; for (i = 1, str = "1."; i < len; i++) str += NUMERALS.charAt(xd[i]); } else { str = str.charAt(0) + "." + str.slice(1); } } str = str + (e < 0 ? "p" : "p+") + e; } else if (e < 0) { for (; ++e; ) str = "0" + str; str = "0." + str; } else { if (++e > len) for (e -= len; e--; ) str += "0"; else if (e < len) str = str.slice(0, e) + "." + str.slice(e); } } str = (baseOut == 16 ? "0x" : baseOut == 2 ? "0b" : baseOut == 8 ? "0o" : "") + str; } return x.s < 0 ? "-" + str : str; } __name(toStringBinary, "toStringBinary"); function truncate(arr, len) { if (arr.length > len) { arr.length = len; return true; } } __name(truncate, "truncate"); function abs(x) { return new this(x).abs(); } __name(abs, "abs"); function acos(x) { return new this(x).acos(); } __name(acos, "acos"); function acosh(x) { return new this(x).acosh(); } __name(acosh, "acosh"); function add(x, y) { return new this(x).plus(y); } __name(add, "add"); function asin(x) { return new this(x).asin(); } __name(asin, "asin"); function asinh(x) { return new this(x).asinh(); } __name(asinh, "asinh"); function atan(x) { return new this(x).atan(); } __name(atan, "atan"); function atanh(x) { return new this(x).atanh(); } __name(atanh, "atanh"); function atan2(y, x) { y = new this(y); x = new this(x); var r, pr = this.precision, rm = this.rounding, wpr = pr + 4; if (!y.s || !x.s) { r = new this(NaN); } else if (!y.d && !x.d) { r = getPi(this, wpr, 1).times(x.s > 0 ? 0.25 : 0.75); r.s = y.s; } else if (!x.d || y.isZero()) { r = x.s < 0 ? getPi(this, pr, rm) : new this(0); r.s = y.s; } else if (!y.d || x.isZero()) { r = getPi(this, wpr, 1).times(0.5); r.s = y.s; } else if (x.s < 0) { this.precision = wpr; this.rounding = 1; r = this.atan(divide(y, x, wpr, 1)); x = getPi(this, wpr, 1); this.precision = pr; this.rounding = rm; r = y.s < 0 ? r.minus(x) : r.plus(x); } else { r = this.atan(divide(y, x, wpr, 1)); } return r; } __name(atan2, "atan2"); function cbrt(x) { return new this(x).cbrt(); } __name(cbrt, "cbrt"); function ceil(x) { return finalise(x = new this(x), x.e + 1, 2); } __name(ceil, "ceil"); function clamp(x, min2, max2) { return new this(x).clamp(min2, max2); } __name(clamp, "clamp"); function config(obj) { if (!obj || typeof obj !== "object") throw Error(decimalError + "Object expected"); var i, p, v, useDefaults = obj.defaults === true, ps = [ "precision", 1, MAX_DIGITS, "rounding", 0, 8, "toExpNeg", -EXP_LIMIT, 0, "toExpPos", 0, EXP_LIMIT, "maxE", 0, EXP_LIMIT, "minE", -EXP_LIMIT, 0, "modulo", 0, 9 ]; for (i = 0; i < ps.length; i += 3) { if (p = ps[i], useDefaults) this[p] = DEFAULTS[p]; if ((v = obj[p]) !== void 0) { if (mathfloor(v) === v && v >= ps[i + 1] && v <= ps[i + 2]) this[p] = v; else throw Error(invalidArgument + p + ": " + v); } } if (p = "crypto", useDefaults) this[p] = DEFAULTS[p]; if ((v = obj[p]) !== void 0) { if (v === true || v === false || v === 0 || v === 1) { if (v) { if (typeof crypto != "undefined" && crypto && (crypto.getRandomValues || crypto.randomBytes)) { this[p] = true; } else { throw Error(cryptoUnavailable); } } else { this[p] = false; } } else { throw Error(invalidArgument + p + ": " + v); } } return this; } __name(config, "config"); function cos(x) { return new this(x).cos(); } __name(cos, "cos"); function cosh(x) { return new this(x).cosh(); } __name(cosh, "cosh"); function clone(obj) { var i, p, ps; function Decimal2(v) { var e, i2, t, x = this; if (!(x instanceof Decimal2)) return new Decimal2(v); x.constructor = Decimal2; if (isDecimalInstance(v)) { x.s = v.s; if (external) { if (!v.d || v.e > Decimal2.maxE) { x.e = NaN; x.d = null; } else if (v.e < Decimal2.minE) { x.e = 0; x.d = [0]; } else { x.e = v.e; x.d = v.d.slice(); } } else { x.e = v.e; x.d = v.d ? v.d.slice() : v.d; } return; } t = typeof v; if (t === "number") { if (v === 0) { x.s = 1 / v < 0 ? -1 : 1; x.e = 0; x.d = [0]; return; } if (v < 0) { v = -v; x.s = -1; } else { x.s = 1; } if (v === ~~v && v < 1e7) { for (e = 0, i2 = v; i2 >= 10; i2 /= 10) e++; if (external) { if (e > Decimal2.maxE) { x.e = NaN; x.d = null; } else if (e < Decimal2.minE) { x.e = 0; x.d = [0]; } else { x.e = e; x.d = [v]; } } else { x.e = e; x.d = [v]; } return; } else if (v * 0 !== 0) { if (!v) x.s = NaN; x.e = NaN; x.d = null; return; } return parseDecimal(x, v.toString()); } else if (t !== "string") { throw Error(invalidArgument + v); } if ((i2 = v.charCodeAt(0)) === 45) { v = v.slice(1); x.s = -1; } else { if (i2 === 43) v = v.slice(1); x.s = 1; } return isDecimal.test(v) ? parseDecimal(x, v) : parseOther(x, v); } __name(Decimal2, "Decimal"); Decimal2.prototype = P; Decimal2.ROUND_UP = 0; Decimal2.ROUND_DOWN = 1; Decimal2.ROUND_CEIL = 2; Decimal2.ROUND_FLOOR = 3; Decimal2.ROUND_HALF_UP = 4; Decimal2.ROUND_HALF_DOWN = 5; Decimal2.ROUND_HALF_EVEN = 6; Decimal2.ROUND_HALF_CEIL = 7; Decimal2.ROUND_HALF_FLOOR = 8; Decimal2.EUCLID = 9; Decimal2.config = Decimal2.set = config; Decimal2.clone = clone; Decimal2.isDecimal = isDecimalInstance; Decimal2.abs = abs; Decimal2.acos = acos; Decimal2.acosh = acosh; Decimal2.add = add; Decimal2.asin = asin; Decimal2.asinh = asinh; Decimal2.atan = atan; Decimal2.atanh = atanh; Decimal2.atan2 = atan2; Decimal2.cbrt = cbrt; Decimal2.ceil = ceil; Decimal2.clamp = clamp; Decimal2.cos = cos; Decimal2.cosh = cosh; Decimal2.div = div; Decimal2.exp = exp; Decimal2.floor = floor; Decimal2.hypot = hypot; Decimal2.ln = ln; Decimal2.log = log; Decimal2.log10 = log10; Decimal2.log2 = log2; Decimal2.max = max; Decimal2.min = min; Decimal2.mod = mod; Decimal2.mul = mul; Decimal2.pow = pow; Decimal2.random = random; Decimal2.round = round; Decimal2.sign = sign; Decimal2.sin = sin; Decimal2.sinh = sinh; Decimal2.sqrt = sqrt; Decimal2.sub = sub; Decimal2.sum = sum; Decimal2.tan = tan; Decimal2.tanh = tanh; Decimal2.trunc = trunc; if (obj === void 0) obj = {}; if (obj) { if (obj.defaults !== true) { ps = ["precision", "rounding", "toExpNeg", "toExpPos", "maxE", "minE", "modulo", "crypto"]; for (i = 0; i < ps.length; ) if (!obj.hasOwnProperty(p = ps[i++])) obj[p] = this[p]; } } Decimal2.config(obj); return Decimal2; } __name(clone, "clone"); function div(x, y) { return new this(x).div(y); } __name(div, "div"); function exp(x) { return new this(x).exp(); } __name(exp, "exp"); function floor(x) { return finalise(x = new this(x), x.e + 1, 3); } __name(floor, "floor"); function hypot() { var i, n, t = new this(0); external = false; for (i = 0; i < arguments.length; ) { n = new this(arguments[i++]); if (!n.d) { if (n.s) { external = true; return new this(1 / 0); } t = n; } else if (t.d) { t = t.plus(n.times(n)); } } external = true; return t.sqrt(); } __name(hypot, "hypot"); function isDecimalInstance(obj) { return obj instanceof Decimal || obj && obj.toStringTag === tag || false; } __name(isDecimalInstance, "isDecimalInstance"); function ln(x) { return new this(x).ln(); } __name(ln, "ln"); function log(x, y) { return new this(x).log(y); } __name(log, "log"); function log2(x) { return new this(x).log(2); } __name(log2, "log2"); function log10(x) { return new this(x).log(10); } __name(log10, "log10"); function max() { return maxOrMin(this, arguments, "lt"); } __name(max, "max"); function min() { return maxOrMin(this, arguments, "gt"); } __name(min, "min"); function mod(x, y) { return new this(x).mod(y); } __name(mod, "mod"); function mul(x, y) { return new this(x).mul(y); } __name(mul, "mul"); function pow(x, y) { return new this(x).pow(y); } __name(pow, "pow"); function random(sd) { var d, e, k, n, i = 0, r = new this(1), rd = []; if (sd === void 0) sd = this.precision; else checkInt32(sd, 1, MAX_DIGITS); k = Math.ceil(sd / LOG_BASE); if (!this.crypto) { for (; i < k; ) rd[i++] = Math.random() * 1e7 | 0; } else if (crypto.getRandomValues) { d = crypto.getRandomValues(new Uint32Array(k)); for (; i < k; ) { n = d[i]; if (n >= 429e7) { d[i] = crypto.getRandomValues(new Uint32Array(1))[0]; } else { rd[i++] = n % 1e7; } } } else if (crypto.randomBytes) { d = crypto.randomBytes(k *= 4); for (; i < k; ) { n = d[i] + (d[i + 1] << 8) + (d[i + 2] << 16) + ((d[i + 3] & 127) << 24); if (n >= 214e7) { crypto.randomBytes(4).copy(d, i); } else { rd.push(n % 1e7); i += 4; } } i = k / 4; } else { throw Error(cryptoUnavailable); } k = rd[--i]; sd %= LOG_BASE; if (k && sd) { n = mathpow(10, LOG_BASE - sd); rd[i] = (k / n | 0) * n; } for (; rd[i] === 0; i--) rd.pop(); if (i < 0) { e = 0; rd = [0]; } else { e = -1; for (; rd[0] === 0; e -= LOG_BASE) rd.shift(); for (k = 1, n = rd[0]; n >= 10; n /= 10) k++; if (k < LOG_BASE) e -= LOG_BASE - k; } r.e = e; r.d = rd; return r; } __name(random, "random"); function round(x) { return finalise(x = new this(x), x.e + 1, this.rounding); } __name(round, "round"); function sign(x) { x = new this(x); return x.d ? x.d[0] ? x.s : 0 * x.s : x.s || NaN; } __name(sign, "sign"); function sin(x) { return new this(x).sin(); } __name(sin, "sin"); function sinh(x) { return new this(x).sinh(); } __name(sinh, "sinh"); function sqrt(x) { return new this(x).sqrt(); } __name(sqrt, "sqrt"); function sub(x, y) { return new this(x).sub(y); } __name(sub, "sub"); function sum() { var i = 0, args = arguments, x = new this(args[i]); external = false; for (; x.s && ++i < args.length; ) x = x.plus(args[i]); external = true; return finalise(x, this.precision, this.rounding); } __name(sum, "sum"); function tan(x) { return new this(x).tan(); } __name(tan, "tan"); function tanh(x) { return new this(x).tanh(); } __name(tanh, "tanh"); function trunc(x) { return finalise(x = new this(x), x.e + 1, 1); } __name(trunc, "trunc"); P[Symbol.for("nodejs.util.inspect.custom")] = P.toString; P[Symbol.toStringTag] = "Decimal"; var Decimal = P.constructor = clone(DEFAULTS); LN10 = new Decimal(LN10); PI = new Decimal(PI); var decimal_default = Decimal; // Annotate the CommonJS export names for ESM import in node: 0 && (module.exports = { Decimal, makeStrictEnum, objectEnumValues }); /*! * decimal.js v10.4.2 * An arbitrary-precision Decimal type for JavaScript. * https://github.com/MikeMcl/decimal.js * Copyright (c) 2022 Michael Mclaughlin * MIT Licence */