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

import { deepMap } from '../../utils/collection.js'

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

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)

}

})

})