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// Copyright 2018-2021 the Deno authors. All rights reserved. MIT license.
/** * Builds all possible orders of all elements in the given array * Ignores equality of elements, meaning this will always reutrn the same * number of permutations for a given length of input. * * Example: * * ```ts * import { permutations } from "./permutations.ts"; * import { assertEquals } from "../testing/asserts.ts"; * * const numbers = [ 1, 2 ] * const windows = permutations(numbers) * * assertEquals(windows, [ * [ 1, 2 ], * [ 2, 1 ], * ]) * ``` */export function permutations<T>(array: readonly T[]): T[][] { const ret: T[][] = [];
if (array.length === 0) { return ret; }
// Heap Algorithm function heapPermutations(k: number, array: T[]) { const c = new Array<number>(k).fill(0);
ret.push([...array]);
let i = 1;
while (i < k) { if (c[i] < i) { if (i % 2 === 0) { const swapBuffer = array[0]; array[0] = array[i]; array[i] = swapBuffer; } else { const swapBuffer = array[c[i]]; array[c[i]] = array[i]; array[i] = swapBuffer; }
ret.push([...array]);
c[i] += 1; i = 1; } else { c[i] = 0; i += 1; } } }
heapPermutations(array.length, [...array]);
return ret;}