mathjs/src/function/trigonometry/asech.js at develop · mkloeppner/mathjs · GitHub

53 lines (47 loc) · 1.37 KB

import { factory } from '../../utils/factory.js'

import { asechNumber } from '../../plain/number/index.js'

const name = 'asech'

const dependencies = ['typed', 'config', 'Complex', 'BigNumber']

export const createAsech = /* #__PURE__ */ factory(name, dependencies, ({ typed, config, Complex, BigNumber }) => {

/**

* Calculate the hyperbolic arcsecant of a value,

* defined as `asech(x) = acosh(1/x) = ln(sqrt(1/x^2 - 1) + 1/x)`.

* To avoid confusion with the matrix hyperbolic arcsecant, this function

* does not apply to matrices.

* Syntax:

* math.asech(x)

* Examples:

* math.asech(0.5) // returns 1.3169578969248166

* See also:

* acsch, acoth

* @param {number | BigNumber | Complex} x Function input

* @return {number | BigNumber | Complex} Hyperbolic arcsecant of x

return typed(name, {

number: function (x) {

if ((x <= 1 && x >= -1) || config.predictable) {

const xInv = 1 / x

if (xInv > 0 || config.predictable) {

return asechNumber(x)

}

const ret = Math.sqrt(xInv * xInv - 1)

return new Complex(Math.log(ret - xInv), Math.PI)

}

return new Complex(x, 0).asech()

Complex: function (x) {

return x.asech()

BigNumber: function (x) {

return new BigNumber(1).div(x).acosh()

}

})

Expand file tree