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https://github.com/stdlib-js/math-base-special-asec
Compute the inverse (arc) secant of a number.
https://github.com/stdlib-js/math-base-special-asec
angle arc arccosine arcsecant asec cos cosine hyperbolic inverse javascript math mathematics node node-js nodejs secant stdlib trig trigonometry
Last synced: 2 days ago
JSON representation
Compute the inverse (arc) secant of a number.
- Host: GitHub
- URL: https://github.com/stdlib-js/math-base-special-asec
- Owner: stdlib-js
- License: apache-2.0
- Created: 2022-07-26T20:21:07.000Z (over 2 years ago)
- Default Branch: main
- Last Pushed: 2024-10-01T10:13:22.000Z (about 2 months ago)
- Last Synced: 2024-10-02T13:18:01.027Z (about 1 month ago)
- Topics: angle, arc, arccosine, arcsecant, asec, cos, cosine, hyperbolic, inverse, javascript, math, mathematics, node, node-js, nodejs, secant, stdlib, trig, trigonometry
- Language: Python
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 457 KB
- Stars: 1
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
Awesome Lists containing this project
README
About stdlib...
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# asec
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Compute the [inverse (arc) secant][arcsecant] of a number.
## Installation
```bash
npm install @stdlib/math-base-special-asec
```
Alternatively,
- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).
The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
## Usage
```javascript
var asec = require( '@stdlib/math-base-special-asec' );
```
#### asec( x )
Computes the [inverse (arc) secant][arcsecant] of `x`.
```javascript
var v = asec( 1.0 );
// returns 0.0
v = asec( 2.0 );
// returns ~1.0472
v = asec( NaN );
// returns NaN
```
The domain of `x` is restricted to the intervals `[-inf, -1]` and `[1, inf]`. For `x` outside of these intervals, the function returns `NaN`.
```javascript
var v = asec( -0.5 );
// returns NaN
v = asec( 0.5 );
// returns NaN
```
## Examples
```javascript
var linspace = require( '@stdlib/array-base-linspace' );
var asec = require( '@stdlib/math-base-special-asec' );
var x = linspace( 1.0, 10.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( asec( x[ i ] ) );
}
```
* * *
## C APIs
### Usage
```c
#include "stdlib/math/base/special/asec.h"
```
#### stdlib_base_asec( x )
Computes the [inverse (arc) secant][arcsecant] of `x`.
```c
double out = stdlib_base_asec( 2.0 );
// returns ~1.0472
```
The function accepts the following arguments:
- **x**: `[in] double` input value.
```c
double stdlib_base_asec( const double x );
```
### Examples
```c
#include "stdlib/math/base/special/asec.h"
#include
int main( void ) {
const double x[] = { -5.0, -3.89, -2.78, -1.67, -0.56, 0.56, 1.67, 2.78, 3.89, 5.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_asec( x[ i ] );
printf( "asec(%lf) = %lf\n", x[ i ], v );
}
}
```
* * *
## See Also
- [`@stdlib/math-base/special/acot`][@stdlib/math/base/special/acot]: compute the inverse cotangent.
- [`@stdlib/math-base/special/acsc`][@stdlib/math/base/special/acsc]: compute the arccosecant of a number.
- [`@stdlib/math-base/special/asech`][@stdlib/math/base/special/asech]: compute the hyperbolic arcsecant of a number.
- [`@stdlib/math-base/special/acos`][@stdlib/math/base/special/acos]: compute the arccosine of a double-precision floating-point number.
* * *
## 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
[![Chat][chat-image]][chat-url]
---
## License
See [LICENSE][stdlib-license].
## Copyright
Copyright © 2016-2024. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-asec.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-asec
[test-image]: https://github.com/stdlib-js/math-base-special-asec/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/math-base-special-asec/actions/workflows/test.yml?query=branch:main
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-asec/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-asec?branch=main
[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[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-asec/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-asec/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-asec/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-asec/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-asec/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-asec/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-asec/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-asec/main/LICENSE
[arcsecant]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
[@stdlib/math/base/special/acot]: https://github.com/stdlib-js/math-base-special-acot
[@stdlib/math/base/special/acsc]: https://github.com/stdlib-js/math-base-special-acsc
[@stdlib/math/base/special/asech]: https://github.com/stdlib-js/math-base-special-asech
[@stdlib/math/base/special/acos]: https://github.com/stdlib-js/math-base-special-acos