npm package: @stdlib/math-base-special-asech
Description: Compute the hyperbolic arcsecant of a number.
Author: The Stdlib Authors
Latest version: 0.3.1

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# asech

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> Compute the [hyperbolic arcsecant][hyperbolic-arcsecant] of a number.

<section class="installation">

## Installation

```bash
npm install @stdlib/math-base-special-asech
```

</section>

<section class="usage">

## Usage

```javascript
var asech = require( '@stdlib/math-base-special-asech' );
```

#### asech( x )

Computes the [hyperbolic arcsecant][hyperbolic-arcsecant] of `x`.

```javascript
var v = asech( 1.0 );
// returns 0.0

v = asech( 0.5 );
// returns ~1.317

v = asech( 0.0 );
// returns Infinity
```

The domain of `x` is restricted to the interval `[0, 1]`. For `x` outside of this interval, the function returns `NaN`.

```javascript
var v = asech( -1.0 );
// returns NaN

v = asech( 2.0 );
// returns NaN
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var asech = require( '@stdlib/math-base-special-asech' );

var x = uniform( 100, 0.1, 1.0, {
    'dtype': 'float64'
});

logEachMap( 'asech(%0.4f) = %0.4f', x, asech );
```

</section>

<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/math/base/special/asech.h"
```

#### stdlib_base_asech( x )

Computes the [hyperbolic arcsecant][hyperbolic-arcsecant] of `x`.

```c
double out = stdlib_base_asech( 1.0 );
// returns 0.0
```

The function accepts the following arguments:

-   **x**: `[in] double` input value.

```c
double stdlib_base_asech( const double x );
```

</section>

<!-- /.usage -->

<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="notes">

</section>

<!-- /.notes -->

<!-- C API usage examples. -->

<section class="examples">

### Examples

```c
#include "stdlib/math/base/special/asech.h"
#include <stdio.h>

int main( void ) {
    const double x[] = { 0.0, 0.5, 1.0, 1.89, 2.33, 3.22, 3.67, 4.11, 4.56, 5.0 };

    double v;
    int i;
    for ( i = 0; i < 10; i++ ) {
        v = stdlib_base_asech( x[ i ] );
        printf( "asech(%lf) = %lf\n", x[ i ], v );
    }
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/math-base/special/acosh`][@stdlib/math/base/special/acosh]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arccosine of a double-precision floating-point number.</span>
-   <span class="package-name">[`@stdlib/math-base/special/asec`][@stdlib/math/base/special/asec]</span><span class="delimiter">: </span><span class="description">compute the inverse (arc) secant of a number.</span>
-   <span class="package-name">[`@stdlib/math-base/special/asech`][@stdlib/math/base/special/asech]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arcsecant of a number.</span>
-   <span class="package-name">[`@stdlib/math-base/special/acoth`][@stdlib/math/base/special/acoth]</span><span class="delimiter">: </span><span class="description">compute the inverse hyperbolic cotangent.</span>

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/math-base-special-asech/tree/deno
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-asech/main/LICENSE

[hyperbolic-arcsecant]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function

<!-- <related-links> -->

[@stdlib/math/base/special/acosh]: https://www.npmjs.com/package/@stdlib/math-base-special-acosh

[@stdlib/math/base/special/asec]: https://www.npmjs.com/package/@stdlib/math-base-special-asec

[@stdlib/math/base/special/asech]: https://www.npmjs.com/package/@stdlib/math-base-special-asech

[@stdlib/math/base/special/acoth]: https://www.npmjs.com/package/@stdlib/math-base-special-acoth

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