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nCartesianProduct

Return the n-fold Cartesian product.

Installation

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

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md 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

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

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

Returns the n-fold Cartesian product.

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.

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

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

Examples

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 ], ... ]

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Notice

This package is part of 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, see the main project repository.

Community

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.