mathjs/src/function/trigonometry/asinh.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 { asinhNumber } from '../../plain/number'

const name = 'asinh'
const dependencies = ['typed']

export const createAsinh = /* #__PURE__ */ factory(name, dependencies, ({ typed }) => {
  /**
   * Calculate the hyperbolic arcsine of a value,
   * defined as `asinh(x) = ln(x + sqrt(x^2 + 1))`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.asinh(x)
   *
   * Examples:
   *
   *    math.asinh(0.5)       // returns 0.48121182505960347
   *
   * See also:
   *
   *    acosh, atanh
   *
   * @param {number | Complex | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Hyperbolic arcsine of x
   */
  const asinh = typed('asinh', {
    number: asinhNumber,

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

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

    'Array | Matrix': function (x) {
      // deep map collection, skip zeros since asinh(0) = 0
      return deepMap(x, asinh, true)
    }
  })

  return asinh
})