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

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

const name = 'asec'

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

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

/**

* Calculate the inverse secant of a value. Defined as `asec(x) = acos(1/x)`.

*

* To avoid confusion with the matrix arcsecant, this function does not

* apply to matrices.

*

* Syntax:

*

* math.asec(x)

*

* Examples:

*

* math.asec(2) // returns 1.0471975511965979

* math.asec(math.sec(1.5)) // returns 1.5

*

* math.asec(0.5) // returns Complex 0 + 1.3169578969248166i

*

* See also:

*

* acos, acot, acsc

*

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

* @return {number | BigNumber | Complex} The arc secant of x

*/

return typed(name, {

number: function (x) {

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

return asecNumber(x)

}

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

},

Complex: function (x) {

return x.asec()

},

BigNumber: function (x) {

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

}

})

})