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

Compute the principal square root of the product of π and a positive number.
https://github.com/stdlib-js/math-base-special-sqrtpi

javascript math mathematics node node-js nodejs number pi power principal root sqrtpi square stdlib

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Compute the principal square root of the product of π and a positive number.

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README 

        



  

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# sqrtpi



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



> Compute the principal [square root][@stdlib/math/base/special/sqrt] of the product of π and a positive number.



## Installation



```bash

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

```



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

```



#### sqrtpi( x )



Computes the principal [square root][@stdlib/math/base/special/sqrt] of the product of π and a positive double-precision floating-point number.



```javascript

var v = sqrtpi( 4.0 );

// returns ~3.5449



v = sqrtpi( 10.0 );

// returns ~5.60499



v = sqrtpi( 0.0 );

// returns 0.0



v = sqrtpi( NaN );

// returns NaN

```



For negative numbers, the principal [square root][@stdlib/math/base/special/sqrt] is **not** defined.



```javascript

var v = sqrtpi( -4.0 );

// returns NaN

```



## Examples



```javascript

var discreteUniform = require( '@stdlib/random-base-discrete-uniform' );

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



var x;

var i;



for ( i = 0; i < 100; i++ ) {

    x = discreteUniform( 0, 100 );

    console.log( 'sqrtpi(%d) = %d', x, sqrtpi( x ) );

}

```



* * *



## C APIs



### Usage



```c

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

```



#### stdlib_base_sqrtpi( x )



Computes the principal [square root][@stdlib/math/base/special/sqrt] of the product of π and a positive double-precision floating-point number.



```c

double x = stdlib_base_sqrtpi( 4.0 );

// returns ~3.5449



x = stdlib_base_sqrtpi( 10.0 );

// returns ~5.60499

```



The function accepts the following arguments:



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



```c

double stdlib_base_sqrtpi( const double x );

```



### Examples



```c

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

#include 

#include 



int main( void ) {

    double x;

    double v;

    int i;



    for ( i = 0; i < 100; i++ ) {

        x = ( (double)rand() / (double)RAND_MAX ) * 100.0;

        v = stdlib_base_sqrtpi( x );

        printf( "sqrtpi(%lf) = %lf\n", x, v );

    }

}

```



* * *



## See Also



-   [`@stdlib/math-base/special/sqrt`][@stdlib/math/base/special/sqrt]: compute the principal square root 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-sqrtpi.svg

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



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

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



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

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

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

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

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

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

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

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



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



[@stdlib/math/base/special/sqrt]: https://github.com/stdlib-js/math-base-special-sqrt