npm package: @stdlib/array-cartesian-product
Description: Return the Cartesian product.
Author: The Stdlib Authors
Latest version: 0.2.3

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<details>
  <summary>
    About stdlib...
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  <p>We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.</p>
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# cartesianProduct

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

> Return the [Cartesian product][cartesian-product].

<section class="installation">

## Installation

```bash
npm install @stdlib/array-cartesian-product
```

</section>

<section class="usage">

## Usage

```javascript
var cartesianProduct = require( '@stdlib/array-cartesian-product' );
```

#### cartesianProduct( x1, x2 )

Returns the [Cartesian product][cartesian-product].

```javascript
var x1 = [ 1, 2, 3 ];
var x2 = [ 4, 5 ];

var out = cartesianProduct( x1, x2 );
// returns [ [ 1, 4 ], [ 1, 5 ], [ 2, 4 ], [ 2, 5 ], [ 3, 4 ], [ 3, 5 ] ]
```

If provided one or more empty arrays, the function returns an empty array.

```javascript
var x1 = [ 1, 2, 3, 4 ];
var x2 = [];

var out = cartesianProduct( x1, x2 );
// returns []
```

</section>

<!-- /.usage -->

<section class="notes">

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

```javascript
var linspace = require( '@stdlib/array-linspace' );
var cartesianProduct = require( '@stdlib/array-cartesian-product' );

var x1 = linspace( 0, 5, 6 );
var x2 = linspace( 10, 15, 6 );

var out = cartesianProduct( x1, x2 );
// returns [ [ 0, 10 ], [ 0, 11 ], ..., [ 5, 14 ], [ 5, 15 ] ]
```

</section>

<!-- /.examples -->

<!-- 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/array-cartesian-power`][@stdlib/array/cartesian-power]</span><span class="delimiter">: </span><span class="description">return the Cartesian power.</span>
-   <span class="package-name">[`@stdlib/array-cartesian-square`][@stdlib/array/cartesian-square]</span><span class="delimiter">: </span><span class="description">return the Cartesian square.</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]

---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

<!-- /.stdlib -->

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[npm-image]: http://img.shields.io/npm/v/@stdlib/array-cartesian-product.svg
[npm-url]: https://npmjs.org/package/@stdlib/array-cartesian-product

[test-image]: https://github.com/stdlib-js/array-cartesian-product/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/array-cartesian-product/actions/workflows/test.yml?query=branch:v0.2.3

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/array-cartesian-product/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/array-cartesian-product?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/array-cartesian-product/tree/deno
[deno-readme]: https://github.com/stdlib-js/array-cartesian-product/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/array-cartesian-product/tree/umd
[umd-readme]: https://github.com/stdlib-js/array-cartesian-product/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/array-cartesian-product/tree/esm
[esm-readme]: https://github.com/stdlib-js/array-cartesian-product/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/array-cartesian-product/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/array-cartesian-product/main/LICENSE

[cartesian-product]: https://en.wikipedia.org/wiki/Cartesian_product

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

[@stdlib/array/cartesian-power]: https://www.npmjs.com/package/@stdlib/array-cartesian-power

[@stdlib/array/cartesian-square]: https://www.npmjs.com/package/@stdlib/array-cartesian-square

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

</section>

<!-- /.links -->