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- "use strict";
- Object.defineProperty(exports, "__esModule", {
- value: true
- });
- exports.createSetPowerset = void 0;
- var _array = require("../../utils/array.js");
- var _factory = require("../../utils/factory.js");
- var name = 'setPowerset';
- var dependencies = ['typed', 'size', 'subset', 'compareNatural', 'Index'];
- var createSetPowerset = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
- var typed = _ref.typed,
- size = _ref.size,
- subset = _ref.subset,
- compareNatural = _ref.compareNatural,
- Index = _ref.Index;
- /**
- * Create the powerset of a (multi)set. (The powerset contains very possible subsets of a (multi)set.)
- * A multi-dimension array will be converted to a single-dimension array before the operation.
- *
- * Syntax:
- *
- * math.setPowerset(set)
- *
- * Examples:
- *
- * math.setPowerset([1, 2, 3]) // returns [[], [1], [2], [3], [1, 2], [1, 3], [2, 3], [1, 2, 3]]
- *
- * See also:
- *
- * setCartesian
- *
- * @param {Array | Matrix} a A (multi)set
- * @return {Array} The powerset of the (multi)set
- */
- return typed(name, {
- 'Array | Matrix': function ArrayMatrix(a) {
- if (subset(size(a), new Index(0)) === 0) {
- // if empty, return empty
- return [];
- }
- var b = (0, _array.flatten)(Array.isArray(a) ? a : a.toArray()).sort(compareNatural);
- var result = [];
- var number = 0;
- while (number.toString(2).length <= b.length) {
- result.push(_subset(b, number.toString(2).split('').reverse()));
- number++;
- }
- // can not return a matrix, because of the different size of the subarrays
- return _sort(result);
- }
- });
- // create subset
- function _subset(array, bitarray) {
- var result = [];
- for (var i = 0; i < bitarray.length; i++) {
- if (bitarray[i] === '1') {
- result.push(array[i]);
- }
- }
- return result;
- }
- // sort subsests by length
- function _sort(array) {
- var temp = [];
- for (var i = array.length - 1; i > 0; i--) {
- for (var j = 0; j < i; j++) {
- if (array[j].length > array[j + 1].length) {
- temp = array[j];
- array[j] = array[j + 1];
- array[j + 1] = temp;
- }
- }
- }
- return array;
- }
- });
- exports.createSetPowerset = createSetPowerset;
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