mathjslab

import { Decimal } from 'decimal.js'; export declare class ComplexDecimal { re: Decimal; im: Decimal; cl: 'decimal' | 'logical'; static mapFunction: { [name: string]: Function; }; static twoArgFunction: { [name: string]: Function; }; constructor(re: number | string | Decimal, im: number | string | Decimal, cl?: 'decimal' | 'logical'); static set(config?: Decimal.Config): void; static isThis(obj: any): boolean; static newThis(re: number | string | Decimal, im: number | string | Decimal, cl?: 'decimal' | 'logical'): ComplexDecimal; static parse(value: string): ComplexDecimal; static unparseDecimal(value: Decimal): string; static unparse(value: ComplexDecimal): string; static unparseDecimalML(value: Decimal): string; static unparseML(value: ComplexDecimal): string; static clone(value: ComplexDecimal): ComplexDecimal; static cast(value: ComplexDecimal, cl?: 'decimal' | 'logical'): ComplexDecimal; static toMaxPrecisionDecimal(value: Decimal): Decimal; static toMaxPrecision(value: ComplexDecimal): ComplexDecimal; static epsilonDecimal(): Decimal; static epsilon(): ComplexDecimal; static min(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static max(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static eq(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static ne(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static cmp(cmp: 'lt' | 'lte' | 'gt' | 'gte', left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static lt(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static lte(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static gte(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static gt(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static false(): ComplexDecimal; static true(): ComplexDecimal; static toLogical(value: ComplexDecimal): ComplexDecimal; static and(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static or(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static not(right: ComplexDecimal): ComplexDecimal; static zero(): ComplexDecimal; static one(): ComplexDecimal; static onediv2(): ComplexDecimal; static minusonediv2(): ComplexDecimal; static minusone(): ComplexDecimal; static pi(): ComplexDecimal; static pidiv2(): ComplexDecimal; static onei(): ComplexDecimal; static onediv2i(): ComplexDecimal; static minusonediv2i(): ComplexDecimal; static minusonei(): ComplexDecimal; static two(): ComplexDecimal; static sqrt2pi(): ComplexDecimal; static e(): ComplexDecimal; static NaN_0(): ComplexDecimal; static inf_0(): ComplexDecimal; static add(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static sub(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static neg(z: ComplexDecimal): ComplexDecimal; static mul(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static rdiv(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static inv(right: ComplexDecimal): ComplexDecimal; static ldiv(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static pow(left: ComplexDecimal, right: ComplexDecimal): ComplexDecimal; static root(x: ComplexDecimal, y: ComplexDecimal): ComplexDecimal; static abs(z: ComplexDecimal): ComplexDecimal; static arg(z: ComplexDecimal): ComplexDecimal; static conj(z: ComplexDecimal): ComplexDecimal; static fix(z: ComplexDecimal): ComplexDecimal; static ceil(z: ComplexDecimal): ComplexDecimal; static floor(z: ComplexDecimal): ComplexDecimal; static round(z: ComplexDecimal): ComplexDecimal; static sign(z: ComplexDecimal): ComplexDecimal; static sqrt(z: ComplexDecimal): ComplexDecimal; static exp(z: ComplexDecimal): ComplexDecimal; static log(z: ComplexDecimal): ComplexDecimal; static logbl(b: ComplexDecimal, l: ComplexDecimal): ComplexDecimal; static log10(z: ComplexDecimal): ComplexDecimal; static sin(z: ComplexDecimal): ComplexDecimal; static cos(z: ComplexDecimal): ComplexDecimal; static tan(z: ComplexDecimal): ComplexDecimal; static csc(z: ComplexDecimal): ComplexDecimal; static sec(z: ComplexDecimal): ComplexDecimal; static cot(z: ComplexDecimal): ComplexDecimal; static asin(z: ComplexDecimal): ComplexDecimal; static acos(z: ComplexDecimal): ComplexDecimal; static atan(z: ComplexDecimal): ComplexDecimal; static acsc(z: ComplexDecimal): ComplexDecimal; static asec(z: ComplexDecimal): ComplexDecimal; static acot(z: ComplexDecimal): ComplexDecimal; static sinh(z: ComplexDecimal): ComplexDecimal; static cosh(z: ComplexDecimal): ComplexDecimal; static tanh(z: ComplexDecimal): ComplexDecimal; static csch(z: ComplexDecimal): ComplexDecimal; static sech(z: ComplexDecimal): ComplexDecimal; static coth(z: ComplexDecimal): ComplexDecimal; static asinh(z: ComplexDecimal): ComplexDecimal; static acosh(z: ComplexDecimal): ComplexDecimal; static atanh(z: ComplexDecimal): ComplexDecimal; static acsch(z: ComplexDecimal): ComplexDecimal; static asech(z: ComplexDecimal): ComplexDecimal; static acoth(z: ComplexDecimal): ComplexDecimal; /** * -- gamma (Z) * Compute the Gamma function. * The Gamma function is defined as * infinity * / * gamma (z) = | t^(z-1) exp (-t) dt. * / * t=0 * https://rosettacode.org/wiki/Gamma_function#JavaScript * https://en.wikipedia.org/wiki/Lanczos_approximation * https://math.stackexchange.com/questions/19236/algorithm-to-compute-gamma-function * https://en.wikipedia.org/wiki/Gamma_function#Stirling's_formula * https://mathworld.wolfram.com/GammaFunction.html * https://www.geeksforgeeks.org/gamma-function/ * https://octave.org/doxygen/dev/d0/d77/gamma_8f_source.html * @param z * @returns */ static gamma(z: ComplexDecimal): ComplexDecimal; static factorial(x: ComplexDecimal): ComplexDecimal; }