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js-combinatorics

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Simple combinatorics like power set, combination, and permutation in JavaScript

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/* * use mocha to test me * http://visionmedia.github.com/mocha/ */ var assert, Combinatorics; if (this['window'] !== this) { assert = require("assert"); Combinatorics = require('../.'); } var is_deeply = function (a, e, m) { return function () { assert.equal(JSON.stringify(a), JSON.stringify(e), m) } }; var IT=function(t,f){it(JSON.stringify(t),f)}; // mocha 3 describe('Combinatorics.permutation', function () { var a = 'abcd'.split(''), c = Combinatorics.permutation(a, 1); IT([a, 1], is_deeply(c.toArray(), [ ["a"], ["b"], ["c"], ["d"] ])); IT(c + 0, is_deeply(c + 0, c.toArray().length)); IT(c.length, is_deeply(c.length, c.toArray().length)); c = Combinatorics.permutation(a, 2); IT([a, 2], is_deeply(c.toArray(), [ ["a", "b"], ["b", "a"], ["a", "c"], ["c", "a"], ["b", "c"], ["c", "b"], ["a", "d"], ["d", "a"], ["b", "d"], ["d", "b"], ["c", "d"], ["d", "c"] ])); IT([a, 2], is_deeply(c.filter(function(a){ return a[0] === 'a'}), [ ["a", "b"], ["a", "c"], ["a", "d"] ])); IT(c + 0, is_deeply(c + 0, c.toArray().length)); IT(c.length, is_deeply(c.length, c.toArray().length)); // Testing lazy filter c = Combinatorics.permutation(a, 2).lazyFilter(function(a){ return a[0] === 'a' }); IT([a, 2], is_deeply(c.toArray(), [ ["a", "b"], ["a", "c"], ["a", "d"] ])); // And resetting the lazy filter c.lazyFilter(); IT([a, 2], is_deeply(c.toArray(), [ ["a", "b"], ["b", "a"], ["a", "c"], ["c", "a"], ["b", "c"], ["c", "b"], ["a", "d"], ["d", "a"], ["b", "d"], ["d", "b"], ["c", "d"], ["d", "c"] ])); c = Combinatorics.permutation(a, 3); IT([a, 3], is_deeply(c.toArray(), [ ["a", "b", "c"], ["a", "c", "b"], ["b", "a", "c"], ["b", "c", "a"], ["c", "a", "b"], ["c", "b", "a"], ["a", "b", "d"], ["a", "d", "b"], ["b", "a", "d"], ["b", "d", "a"], ["d", "a", "b"], ["d", "b", "a"], ["a", "c", "d"], ["a", "d", "c"], ["c", "a", "d"], ["c", "d", "a"], ["d", "a", "c"], ["d", "c", "a"], ["b", "c", "d"], ["b", "d", "c"], ["c", "b", "d"], ["c", "d", "b"], ["d", "b", "c"], ["d", "c", "b"] ])); IT(c + 0, is_deeply(c + 0, c.toArray().length)); IT(c.length, is_deeply(c.length, c.toArray().length)); c = Combinatorics.permutation(a, 4); IT([a, 4], is_deeply(c.toArray(), [ ["a", "b", "c", "d"], ["a", "b", "d", "c"], ["a", "c", "b", "d"], ["a", "c", "d", "b"], ["a", "d", "b", "c"], ["a", "d", "c", "b"], ["b", "a", "c", "d"], ["b", "a", "d", "c"], ["b", "c", "a", "d"], ["b", "c", "d", "a"], ["b", "d", "a", "c"], ["b", "d", "c", "a"], ["c", "a", "b", "d"], ["c", "a", "d", "b"], ["c", "b", "a", "d"], ["c", "b", "d", "a"], ["c", "d", "a", "b"], ["c", "d", "b", "a"], ["d", "a", "b", "c"], ["d", "a", "c", "b"], ["d", "b", "a", "c"], ["d", "b", "c", "a"], ["d", "c", "a", "b"], ["d", "c", "b", "a"] ])); IT(c + 0, is_deeply(c + 0, c.toArray().length)); IT(c.length, is_deeply(c.length, c.toArray().length)); // Testing lazy map c = Combinatorics.permutation(a, 2).lazyMap(function(a){ if (a[0] === 'a') { a[0] = 'z' } return a; }); IT([a, 2], is_deeply(c.toArray(), [ ["z", "b"], ["b", "a"], ["z", "c"], ["c", "a"], ["b", "c"], ["c", "b"], ["z", "d"], ["d", "a"], ["b", "d"], ["d", "b"], ["c", "d"], ["d", "c"] ])); // And resetting the lazy map c.lazyMap(); IT([a, 2], is_deeply(c.toArray(), [ ["a", "b"], ["b", "a"], ["a", "c"], ["c", "a"], ["b", "c"], ["c", "b"], ["a", "d"], ["d", "a"], ["b", "d"], ["d", "b"], ["c", "d"], ["d", "c"] ])); // Testing `RangeError` for fractional `nelem` IT([a, 1.5, "should throw `RangeError`"], function() { assert.throws(function() { Combinatorics.permutation(a, 1.5) }, RangeError); }); // Testing .reduce var r = function(a, e, i){return a + i + ":" + e + ";"}; var s = c.toArray().reduce(r, ""); IT( s + " // c.reduce", is_deeply(s, c.reduce(r, ""))); });