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https://github.com/ehmicky/fast-cartesian

Fast cartesian product
https://github.com/ehmicky/fast-cartesian

algorithm cartesian cartesian-product cartesian-products combinations combinatorics data-structures es6 functional functional-programming iterable javascript library lodash lodash-fp nodejs performance product sets typescript

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Fast cartesian product

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README

        

[![Node](https://img.shields.io/badge/-Node.js-808080?logo=node.js&colorA=404040&logoColor=66cc33)](https://www.npmjs.com/package/fast-cartesian)
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Fast cartesian product.

Retrieves every possible combination between several arrays
([cartesian product](https://en.wikipedia.org/wiki/Cartesian_product)).

[Fastest](#benchmarks) available library in JavaScript.

When producing millions of combinations or combining hundreds of arrays,
[`big-cartesian`](https://github.com/ehmicky/big-cartesian) should be used
instead.

# Hire me

Please
[reach out](https://www.linkedin.com/feed/update/urn:li:activity:7117265228068716545/)
if you're looking for a Node.js API or CLI engineer (11 years of experience).
Most recently I have been [Netlify Build](https://github.com/netlify/build)'s
and [Netlify Plugins](https://www.netlify.com/products/build/plugins/)'
technical lead for 2.5 years. I am available for full-time remote positions.

# Testimonials

> We are now using this library for ourworldindata.org and have seen an almost
> 50-fold performance increase from the naive method we used before!
>
> @MarcelGerber

# Example

```js
import fastCartesian from 'fast-cartesian'

console.log(
fastCartesian([
['red', 'blue'],
['circle', 'square'],
]),
)
// [
// [ 'red', 'circle' ],
// [ 'red', 'square' ],
// [ 'blue', 'circle' ],
// [ 'blue', 'square' ]
// ]

// Return initial indexes
console.log(
fastCartesian(
[
['red', 'blue'],
['circle', 'square'],
].map(Object.entries),
),
)
// [
// [ [ '0', 'red' ], [ '0', 'circle' ] ],
// [ [ '0', 'red' ], [ '1', 'square' ] ],
// [ [ '1', 'blue' ], [ '0', 'circle' ] ],
// [ [ '1', 'blue' ], [ '1', 'square' ] ]
// ]
```

# Demo

You can try this library:

- either directly [in your browser](https://repl.it/@ehmicky/fast-cartesian).
- or by executing the [`examples` files](examples/README.md) in a terminal.

# Install

```
npm install fast-cartesian
```

This package works in both Node.js >=18.18.0 and
[browsers](https://raw.githubusercontent.com/ehmicky/dev-tasks/main/src/browserslist).

This is an ES module. It must be loaded using
[an `import` or `import()` statement](https://gist.github.com/sindresorhus/a39789f98801d908bbc7ff3ecc99d99c),
not `require()`. If TypeScript is used, it must be configured to
[output ES modules](https://www.typescriptlang.org/docs/handbook/esm-node.html),
not CommonJS.

# API

## fastCartesian(inputs)

`inputs`: `Array`\
_Return value_: `Array`

Returns a two-dimensional `Array` where each row is a combination of `inputs`.

# Benchmarks

The following [benchmarks](benchmark/tasks.js) compare the performance of this
library against alternatives
([`big-cartesian`](https://github.com/ehmicky/big-cartesian),
[`cx-product`](https://github.com/anywhichway/cxproduct),
[`cartesian-product`](https://github.com/izaakschroeder/cartesian-product),
[`fast-cartesian-product`](https://github.com/fisker/fast-cartesian-product),
[`power-cartesian-product`](https://github.com/fisker/power-cartesian-product),
[`cartesian`](https://github.com/alexindigo/cartesian) and
[`lodash.product`](https://github.com/SeregPie/lodash.product)).

```
## fast-cartesian ######################
1 array 1.22ms
2 arrays 1.82ms
4 arrays 3.12ms
8 arrays 1.87ms
16 arrays 4.82ms

## cxproduct ###########################
1 array 1.91ms
2 arrays 3.47ms
4 arrays 3.62ms
8 arrays 2.39ms
16 arrays 5.05ms

## cartesian-product ###################
1 array 4.61ms
2 arrays 2.92ms
4 arrays 11.80ms
8 arrays 14.78ms
16 arrays 21.00ms

## big-cartesian #######################
1 array 7.21ms
2 arrays 6.68ms
4 arrays 8.53ms
8 arrays 7.80ms
16 arrays 18.30ms

## power-cartesian-product #############
1 array 6.84ms
2 arrays 8.54ms
4 arrays 12.35ms
8 arrays 11.78ms
16 arrays 18.98ms

## cartesian ###########################
1 array 3.44ms
2 arrays 11.12ms
4 arrays 13.27ms
8 arrays 16.11ms
16 arrays 22.90ms

## fast-cartesian-product ##############
1 array 23.04ms
2 arrays 24.11ms
4 arrays 30.46ms
8 arrays 45.65ms
16 arrays 65.12ms

## lodash.product ######################
1 array 36.51ms
2 arrays 37.89ms
4 arrays 41.71ms
8 arrays 52.72ms
16 arrays 80.84ms
```

# Support

For any question, _don't hesitate_ to [submit an issue on GitHub](../../issues).

Everyone is welcome regardless of personal background. We enforce a
[Code of conduct](CODE_OF_CONDUCT.md) in order to promote a positive and
inclusive environment.

# Contributing

This project was made with ❤️. The simplest way to give back is by starring and
sharing it online.

If the documentation is unclear or has a typo, please click on the page's `Edit`
button (pencil icon) and suggest a correction.

If you would like to help us fix a bug or add a new feature, please check our
[guidelines](CONTRIBUTING.md). Pull requests are welcome!



ehmicky

💻 🎨 🤔 📖

Marcel Gerber

💻

Paul Heidenreich

💻