npm package: @stdlib/math-base-special-pow
Description: Exponential function.
Author: The Stdlib Authors
Latest version: 0.3.1

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</details>

# Exponential Function

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

> [Exponential function][exponential-function].

<section class="intro">

The [exponential function][exponential-function] is defined as

<!-- <equation class="equation" label="eq:exponential_function" align="center" raw="y = b^x" alt="Exponential function"> -->

<div class="equation" align="center" data-raw-text="y = b^x" data-equation="eq:exponential_function">
    <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/pow/docs/img/equation_exponential_function.svg" alt="Exponential function">
    <br>
</div>

<!-- </equation> -->

where `b` is the **base** and `x` is the **exponent**.

</section>

<!-- /.intro -->

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### pow( base, exponent )

Evaluates the [exponential function][exponential-function].

```javascript
var v = pow( 2.0, 3.0 );
// returns 8.0

v = pow( 4.0, 0.5 );
// returns 2.0

v = pow( 100.0, 0.0 );
// returns 1.0

v = pow( 3.141592653589793, 5.0 );
// returns ~306.0197

v = pow( 3.141592653589793, -0.2 );
// returns ~0.7954

v = pow( NaN, 3.0 );
// returns NaN

v = pow( 5.0, NaN );
// returns NaN

v = pow( NaN, NaN );
// 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 pow = require( '@stdlib/math-base-special-pow' );

var opts = {
    'dtype': 'float64'
};
var b = discreteUniform( 100, 0, 10, opts );
var x = discreteUniform( 100, -5, 5, opts );

logEachMap( '%d^%d = %0.4f', b, x, pow );
```

</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/pow.h"
```

#### stdlib_base_pow( base, exponent )

Evaluates the exponential function.

```c
double out = stdlib_base_pow( 3.141592653589793, 5.0 );
// returns ~306.0197

out = stdlib_base_pow( 4.0, 0.5 );
// returns 2.0
```

The function accepts the following arguments:

-   **base**: `[in] double` base.
-   **exponent**: `[in] double` exponent.

```c
double stdlib_base_pow( const double base, const double exponent );
```

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

int main( void ) {
    double out;
    double b;
    double x;
    int i;

    for ( i = 0; i < 100; i++ ) {
        b = ( ( (double)rand() / (double)RAND_MAX ) * 10.0 );
        x = ( ( (double)rand() / (double)RAND_MAX ) * 10.0 ) - 5.0;
        out = stdlib_base_pow( b, x );
        printf( "pow(%lf, %lf) = %lf\n", b, x, out );
    }
}
```

</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/exp`][@stdlib/math/base/special/exp]</span><span class="delimiter">: </span><span class="description">natural exponential function.</span>
-   <span class="package-name">[`@stdlib/math-base/special/powm1`][@stdlib/math/base/special/powm1]</span><span class="delimiter">: </span><span class="description">evaluate bˣ - 1.</span>

</section>

<!-- /.related -->

<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->


<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]

---

## Copyright

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

</section>

<!-- /.stdlib -->

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<section class="links">

[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-pow.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-pow

[test-image]: https://github.com/stdlib-js/math-base-special-pow/actions/workflows/test.yml/badge.svg?branch=v0.3.1
[test-url]: https://github.com/stdlib-js/math-base-special-pow/actions/workflows/test.yml?query=branch:v0.3.1

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-pow/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-pow?branch=main

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[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-pow/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-pow/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-pow/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-pow/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-pow/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-pow/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-pow/blob/main/branches.md

[exponential-function]: https://en.wikipedia.org/wiki/Exponential_function

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

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

[@stdlib/math/base/special/powm1]: https://www.npmjs.com/package/@stdlib/math-base-special-powm1

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

</section>

<!-- /.links -->