You Combinations JavaScript (JS)

An efficient combinatorics library for JavaScript to generate and get the list of all Permutations and Combinations with the ability to enable or disable repetition. (utilizing ES2015 generators)

Functions

• PowerSet
• Permutation with repetition
• Permutation without repetition
• Combinations with repetition
• Combinations without repetition

Usage

PowerSet

const your_combinations = new YourCombinations([1, 2, 3]);
[...your_combinations.powerSet()]

// [
//   [],       [ 1 ],
//   [ 2 ],    [ 1, 2 ],
//   [ 3 ],    [ 1, 3 ],
//   [ 2, 3 ], [ 1, 2, 3 ]
// ]

Permutation with repetition

const your_combinations = new YourCombinations([1, 2, 3]);
your_combinations.permutations(4, true);

// [ 1, 1, 1, 1 ]
// [ 1, 1, 1, 2 ]
// [ 1, 1, 1, 3 ]
// [ 1, 1, 2, 1 ]
// [ 1, 1, 2, 2 ]
// [ 1, 1, 2, 3 ]
// [ 1, 1, 3, 1 ]
// [ 1, 1, 3, 2 ]
// [ 1, 1, 3, 3 ]
// [ 1, 2, 1, 1 ]
// [ 1, 2, 1, 2 ]
// [ 1, 2, 1, 3 ]
// [ 1, 2, 2, 1 ]
// [ 1, 2, 2, 2 ]
// [ 1, 2, 2, 3 ]
// [ 1, 2, 3, 1 ]
// [ 1, 2, 3, 2 ]
// [ 1, 2, 3, 3 ]
// [ 1, 3, 1, 1 ]
// [ 1, 3, 1, 2 ]
// [ 1, 3, 1, 3 ]
// [ 1, 3, 2, 1 ]
// [ 1, 3, 2, 2 ]
// [ 1, 3, 2, 3 ]
// [ 1, 3, 3, 1 ]
// [ 1, 3, 3, 2 ]
// [ 1, 3, 3, 3 ]
// [ 2, 1, 1, 1 ]
// [ 2, 1, 1, 2 ]
// [ 2, 1, 1, 3 ]
// [ 2, 1, 2, 1 ]
// [ 2, 1, 2, 2 ]
// [ 2, 1, 2, 3 ]
// [ 2, 1, 3, 1 ]
// [ 2, 1, 3, 2 ]
// [ 2, 1, 3, 3 ]
// [ 2, 2, 1, 1 ]
// [ 2, 2, 1, 2 ]
// [ 2, 2, 1, 3 ]
// [ 2, 2, 2, 1 ]
// [ 2, 2, 2, 2 ]
// [ 2, 2, 2, 3 ]
// [ 2, 2, 3, 1 ]
// [ 2, 2, 3, 2 ]
// [ 2, 2, 3, 3 ]
// [ 2, 3, 1, 1 ]
// [ 2, 3, 1, 2 ]
// [ 2, 3, 1, 3 ]
// [ 2, 3, 2, 1 ]
// [ 2, 3, 2, 2 ]
// [ 2, 3, 2, 3 ]
// [ 2, 3, 3, 1 ]
// [ 2, 3, 3, 2 ]
// [ 2, 3, 3, 3 ]
// [ 3, 1, 1, 1 ]
// [ 3, 1, 1, 2 ]
// [ 3, 1, 1, 3 ]
// [ 3, 1, 2, 1 ]
// [ 3, 1, 2, 2 ]
// [ 3, 1, 2, 3 ]
// [ 3, 1, 3, 1 ]
// [ 3, 1, 3, 2 ]
// [ 3, 1, 3, 3 ]
// [ 3, 2, 1, 1 ]
// [ 3, 2, 1, 2 ]
// [ 3, 2, 1, 3 ]
// [ 3, 2, 2, 1 ]
// [ 3, 2, 2, 2 ]
// [ 3, 2, 2, 3 ]
// [ 3, 2, 3, 1 ]
// [ 3, 2, 3, 2 ]
// [ 3, 2, 3, 3 ]
// [ 3, 3, 1, 1 ]
// [ 3, 3, 1, 2 ]
// [ 3, 3, 1, 3 ]
// [ 3, 3, 2, 1 ]
// [ 3, 3, 2, 2 ]
// [ 3, 3, 2, 3 ]
// [ 3, 3, 3, 1 ]
// [ 3, 3, 3, 2 ]
// [ 3, 3, 3, 3 ]

Permutation without repetition

const your_combinations = new YourCombinations([1, 2, 3]);
your_combinations.permutations(2, false);

// [ 1, 2 ]
// [ 1, 3 ]
// [ 2, 1 ]
// [ 2, 3 ]
// [ 3, 1 ]
// [ 3, 2 ]

Combinations with repetition

const your_combinations = new YourCombinations([1, 2, 3]);
your_combinations.combinations(4, true);

// [ 1, 1, 1, 1 ]
// [ 1, 1, 1, 2 ]
// [ 1, 1, 1, 3 ]
// [ 1, 1, 2, 2 ]
// [ 1, 1, 2, 3 ]
// [ 1, 1, 3, 3 ]
// [ 1, 2, 2, 2 ]
// [ 1, 2, 2, 3 ]
// [ 1, 2, 3, 3 ]
// [ 1, 3, 3, 3 ]
// [ 2, 2, 2, 2 ]
// [ 2, 2, 2, 3 ]
// [ 2, 2, 3, 3 ]
// [ 2, 3, 3, 3 ]
// [ 3, 3, 3, 3 ]

Combinations without repetition

const your_combinations = new YourCombinations([1, 2, 3]);
your_combinations.combinations(2, false);

// [ 1, 2 ]
// [ 1, 3 ]
// [ 2, 3 ]

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