setCartesian.js (2282B)
1 "use strict"; 2 3 Object.defineProperty(exports, "__esModule", { 4 value: true 5 }); 6 exports.createSetCartesian = void 0; 7 8 var _array = require("../../utils/array.js"); 9 10 var _factory = require("../../utils/factory.js"); 11 12 var name = 'setCartesian'; 13 var dependencies = ['typed', 'size', 'subset', 'compareNatural', 'Index', 'DenseMatrix']; 14 var createSetCartesian = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) { 15 var typed = _ref.typed, 16 size = _ref.size, 17 subset = _ref.subset, 18 compareNatural = _ref.compareNatural, 19 Index = _ref.Index, 20 DenseMatrix = _ref.DenseMatrix; 21 22 /** 23 * Create the cartesian product of two (multi)sets. 24 * Multi-dimension arrays will be converted to single-dimension arrays 25 * and the values will be sorted in ascending order before the operation. 26 * 27 * Syntax: 28 * 29 * math.setCartesian(set1, set2) 30 * 31 * Examples: 32 * 33 * math.setCartesian([1, 2], [3, 4]) // returns [[1, 3], [1, 4], [2, 3], [2, 4]] 34 * math.setCartesian([4, 3], [2, 1]) // returns [[3, 1], [3, 2], [4, 1], [4, 2]] 35 * 36 * See also: 37 * 38 * setUnion, setIntersect, setDifference, setPowerset 39 * 40 * @param {Array | Matrix} a1 A (multi)set 41 * @param {Array | Matrix} a2 A (multi)set 42 * @return {Array | Matrix} The cartesian product of two (multi)sets 43 */ 44 return typed(name, { 45 'Array | Matrix, Array | Matrix': function ArrayMatrixArrayMatrix(a1, a2) { 46 var result = []; 47 48 if (subset(size(a1), new Index(0)) !== 0 && subset(size(a2), new Index(0)) !== 0) { 49 // if any of them is empty, return empty 50 var b1 = (0, _array.flatten)(Array.isArray(a1) ? a1 : a1.toArray()).sort(compareNatural); 51 var b2 = (0, _array.flatten)(Array.isArray(a2) ? a2 : a2.toArray()).sort(compareNatural); 52 result = []; 53 54 for (var i = 0; i < b1.length; i++) { 55 for (var j = 0; j < b2.length; j++) { 56 result.push([b1[i], b2[j]]); 57 } 58 } 59 } // return an array, if both inputs were arrays 60 61 62 if (Array.isArray(a1) && Array.isArray(a2)) { 63 return result; 64 } // return a matrix otherwise 65 66 67 return new DenseMatrix(result); 68 } 69 }); 70 }); 71 exports.createSetCartesian = createSetCartesian;