mathjs/src/function/trigonometry/acsch.js

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

import { factory } from '../../utils/factory'
import { deepMap } from '../../utils/collection'
import { acschNumber } from '../../plain/number'

const name = 'acsch'
const dependencies = ['typed', 'BigNumber']

export const createAcsch = /* #__PURE__ */ factory(name, dependencies, ({ typed, BigNumber }) => {
  /**
   * Calculate the hyperbolic arccosecant of a value,
   * defined as `acsch(x) = asinh(1/x) = ln(1/x + sqrt(1/x^2 + 1))`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.acsch(x)
   *
   * Examples:
   *
   *    math.acsch(0.5)       // returns 1.4436354751788103
   *
   * See also:
   *
   *    asech, acoth
   *
   * @param {number | Complex | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic arccosecant of x
   */
  return typed(name, {
    number: acschNumber,

    Complex: function (x) {
      return x.acsch()
    },

    BigNumber: function (x) {
      return new BigNumber(1).div(x).asinh()
    },

    'Array | Matrix': function (x) {
      return deepMap(x, this)
    }
  })
})