@stdlib/math-base-special-asech/lib/main.js

Compute the hyperbolic arcsecant of a number.

/**
* @license Apache-2.0
*
* Copyright (c) 2022 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
*    http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
* ```
*/

'use strict';

// MODULES //

var acosh = require( '@stdlib/math-base-special-acosh' );


// MAIN //

/**
* Computes the hyperbolic arcsecant of a number.
*
* ## Method
*
* ```tex
* \operatorname{asech}(x) = \operatorname{acosh}(\frac{1}{x})
* ```
*
* @param {number} x - input value
* @returns {number} hyperbolic arcsecant
*
* @example
* var v = asech( 1.0 );
* // returns 0.0
*
* @example
* var v = asech( 0.5 );
* // returns ~1.317
*
* @example
* var v = asech( NaN );
* // returns NaN
*/
function asech( x ) {
	return acosh( 1.0 / x );
}


// EXPORTS //

module.exports = asech;