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

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# nCartesianProduct

[![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 n-fold [Cartesian product][cartesian-product].

<section class="installation">

## Installation

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

</section>

<section class="usage">

## Usage

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

#### nCartesianProduct( x1, x2\[, ...xN] )

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

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

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

</section>

<!-- /.usage -->

<section class="notes">

</section>

<!-- /.notes -->

<section class="examples">

## Examples

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

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

var x1 = linspace( 0, 5, 6 );
var x2 = linspace( 10, 15, 6 );
var x3 = linspace( 20, 25, 6 );

var out = nCartesianProduct( x1, x2, x3 );
// returns [ [ 0, 10, 20 ], [ 0, 10, 21 ], ... ]
```

</section>

<!-- /.examples -->

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<section class="related">

</section>

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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].

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

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

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