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https://github.com/stdlib-js/math-base-special-avercosf

Compute the inverse versed cosine of a single-precision floating-point number (in radians).
https://github.com/stdlib-js/math-base-special-avercosf

acos arc arcvercos arcvercosin avcs avercos avercosin avercosine avercosinus cos cosine javascript math mathematics node node-js nodejs stdlib versed versed-cosine

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Compute the inverse versed cosine of a single-precision floating-point number (in radians).

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README 

        



  

    About stdlib...

  

  
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# Arcvercosine



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



> Compute the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).



The [inverse versed cosine][inverse-versed-cosine] is defined as



```math

\mathop{\mathrm{avercos}}(\theta) = \arccos(1+\theta)

```



## Installation



```bash

npm install @stdlib/math-base-special-avercosf

```



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

```



#### avercosf( x )



Computes the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).



```javascript

var v = avercosf( 0.0 );

// returns 0.0



v = avercosf( -3.141592653589793 / 2.0 );

// returns ~2.1783



v = avercosf( -3.141592653589793 / 6.0 );

// returns ~1.0742

```



If `x < -2`, `x > 0`, or `x` is `NaN`, the function returns `NaN`.



```javascript

var v = avercosf( 1.0 );

// returns NaN



v = avercosf( -3.14 );

// returns NaN



v = avercosf( NaN );

// returns NaN

```



## Examples



```javascript

var linspace = require( '@stdlib/array-base-linspace' );

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



var x = linspace( -2.0, 0.0, 100 );



var i;

for ( i = 0; i < x.length; i++ ) {

    console.log( avercosf( x[ i ] ) );

}

```



* * *



## C APIs



### Usage



```c

#include "stdlib/math/base/special/avercosf.h"

```



#### stdlib_base_avercosf( x )



Computes the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).



```c

float out = stdlib_base_avercosf( -3.141592653589793f / 2.0f );

// returns ~2.1783f

```



If `x < -2`, `x > 0`, or `x` is `NaN`, the function returns `NaN`.



```c

float out = stdlib_base_avercosf( -3.141592653589793f );

// returns NaN

```



The function accepts the following arguments:



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



```c

float stdlib_base_avercosf( const float x );

```



### Examples



```c

#include "stdlib/math/base/special/avercosf.h"

#include 



int main( void ) {

    const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };

    

    float v;

    int i;

    for ( i = 0; i < 10; i++ ) {

        v = stdlib_base_avercosf( x[ i ] );

        printf( "avercosf(%f) = %f\n", x[ i ], v );

    }

}

```



* * *



## 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-avercosf.svg

[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-avercosf



[test-image]: https://github.com/stdlib-js/math-base-special-avercosf/actions/workflows/test.yml/badge.svg?branch=main

[test-url]: https://github.com/stdlib-js/math-base-special-avercosf/actions/workflows/test.yml?query=branch:main



[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-avercosf/main.svg

[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-avercosf?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-avercosf/tree/deno

[deno-readme]: https://github.com/stdlib-js/math-base-special-avercosf/blob/deno/README.md

[umd-url]: https://github.com/stdlib-js/math-base-special-avercosf/tree/umd

[umd-readme]: https://github.com/stdlib-js/math-base-special-avercosf/blob/umd/README.md

[esm-url]: https://github.com/stdlib-js/math-base-special-avercosf/tree/esm

[esm-readme]: https://github.com/stdlib-js/math-base-special-avercosf/blob/esm/README.md

[branches-url]: https://github.com/stdlib-js/math-base-special-avercosf/blob/main/branches.md



[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-avercosf/main/LICENSE



[inverse-versed-cosine]: https://en.wikipedia.org/wiki/Versine