npm package: @stdlib/math-base-special-sqrtpi
Description: Compute the principal square root of the product of π and a positive double-precision floating-point number.
Author: The Stdlib Authors
Latest version: 0.2.4

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# sqrtpi

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

<section class="installation">

## Installation

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

</section>

<section class="usage">

## 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
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

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

var opts = {
    'dtype': 'float64'
};
var x = discreteUniform( 100, 0, 100, opts );

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

</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/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 );
```

</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/sqrtpi.h"
#include <stdlib.h>
#include <stdio.h>

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 );
    }
}
```

</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/sqrt`][@stdlib/math/base/special/sqrt]</span><span class="delimiter">: </span><span class="description">compute the principal square root of a double-precision floating-point number.</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

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

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

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