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

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

const name = 'csch'

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

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

/**

* Calculate the hyperbolic cosecant of a value,

* defined as `csch(x) = 1 / sinh(x)`.

*

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

* does not apply to matrices.

*

* Syntax:

*

* math.csch(x)

*

* Examples:

*

* // csch(x) = 1/ sinh(x)

* math.csch(0.5) // returns 1.9190347513349437

* 1 / math.sinh(0.5) // returns 1.9190347513349437

*

* See also:

*

* sinh, sech, coth

*

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

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

*/

return typed(name, {

number: cschNumber,

Complex: x => x.csch(),

BigNumber: x => new BigNumber(1).div(x.sinh())

})

})