[10060] | 1 | #region License Information
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| 2 | /* HeuristicLab
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| 3 | * Copyright (C) 2002-2013 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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| 4 | *
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| 5 | * This file is part of HeuristicLab.
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| 6 | *
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| 7 | * HeuristicLab is free software: you can redistribute it and/or modify
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| 8 | * it under the terms of the GNU General Public License as published by
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| 9 | * the Free Software Foundation, either version 3 of the License, or
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| 10 | * (at your option) any later version.
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| 11 | *
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| 12 | * HeuristicLab is distributed in the hope that it will be useful,
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| 13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 15 | * GNU General Public License for more details.
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| 16 | *
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| 17 | * You should have received a copy of the GNU General Public License
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| 18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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| 19 | */
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| 20 | #endregion
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| 21 |
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| 22 | using System;
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| 23 | using HeuristicLab.Analysis.AlgorithmBehavior.Analyzers;
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[10108] | 24 | using HeuristicLab.Common;
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[10109] | 25 | using HeuristicLab.Encodings.PermutationEncoding;
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| 26 | using HeuristicLab.Problems.TravelingSalesman;
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[10060] | 27 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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| 28 |
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| 29 | namespace AlgorithmBehaviorUnitTests {
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| 30 | [TestClass]
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| 31 | public class DistanceMatrixToPointsTest {
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| 32 | [TestMethod]
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[10109] | 33 | public void TestMetricMDSStatic() {
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[10108] | 34 | int nrOfPoints = 3;
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[10060] | 35 | int dim = 2;
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| 36 | double[][] orgPoints = new double[nrOfPoints][];
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| 37 | double[][] orgDm = new double[nrOfPoints][];
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| 38 | double[][] newDm = new double[nrOfPoints][];
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| 39 | double[][] newPoints = null;
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| 40 |
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| 41 | AllocArray(orgPoints, dim);
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| 42 | AllocArray(orgDm, nrOfPoints);
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| 43 | AllocArray(newDm, nrOfPoints);
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[10108] | 44 | StaticPoints(orgPoints);
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[10060] | 45 | CalculateDistanceMatrix(orgDm, orgPoints);
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| 46 |
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[10118] | 47 | newPoints = DistanceMatrixToPoints.MetricMDS(orgDm, dim, true);
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[10078] | 48 |
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[10060] | 49 | CalculateDistanceMatrix(newDm, newPoints);
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[10108] | 50 | Console.WriteLine("orgDm:");
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| 51 | PrintDM(orgDm);
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| 52 | Console.WriteLine("newDm:");
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| 53 | PrintDM(newDm);
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[10060] | 54 |
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[10108] | 55 | for (int i = 0; i < orgDm.Length; i++) {
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| 56 | for (int j = 0; j < orgDm.Length; j++) {
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| 57 | double diff = orgDm[i][j] - newDm[i][j];
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| 58 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 59 | }
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| 60 | }
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[10060] | 61 | }
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| 62 |
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[10109] | 63 | [TestMethod]
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| 64 | public void TestMetricMDSRandom() {
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| 65 | int nrOfPoints = 30;
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| 66 | int dim = 10;
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| 67 | double[][] orgPoints = new double[nrOfPoints][];
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| 68 | double[][] orgDm = new double[nrOfPoints][];
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| 69 | double[][] newDm = new double[nrOfPoints][];
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| 70 | double[][] newPoints = null;
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| 71 |
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| 72 | AllocArray(orgPoints, dim);
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| 73 | AllocArray(orgDm, nrOfPoints);
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| 74 | AllocArray(newDm, nrOfPoints);
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| 75 | SamplePoints(orgPoints);
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| 76 | CalculateDistanceMatrix(orgDm, orgPoints);
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| 77 |
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| 78 | newPoints = DistanceMatrixToPoints.MetricMDS(orgDm, dim);
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| 79 |
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| 80 | CalculateDistanceMatrix(newDm, newPoints);
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| 81 | Console.WriteLine("orgDm:");
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| 82 | PrintDM(orgDm);
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| 83 | Console.WriteLine("newDm:");
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| 84 | PrintDM(newDm);
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| 85 |
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| 86 | for (int i = 0; i < orgDm.Length; i++) {
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| 87 | for (int j = 0; j < orgDm.Length; j++) {
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| 88 | double diff = orgDm[i][j] - newDm[i][j];
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| 89 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 90 | }
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| 91 | }
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| 92 | }
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| 93 |
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| 94 | [TestMethod]
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| 95 | public void TestDistanceMatrixConversionStatic() {
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| 96 | int nrOfPoints = 3;
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| 97 | int dim = 2;
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| 98 | double[][] orgPoints = new double[nrOfPoints][];
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| 99 | double[][] orgDm = new double[nrOfPoints][];
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| 100 | double[][] newDm = new double[nrOfPoints][];
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| 101 | double[][] newPoints = null;
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| 102 |
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| 103 | AllocArray(orgPoints, dim);
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| 104 | AllocArray(orgDm, nrOfPoints);
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| 105 | AllocArray(newDm, nrOfPoints);
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| 106 | StaticPoints(orgPoints);
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| 107 | CalculateDistanceMatrix(orgDm, orgPoints);
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| 108 |
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| 109 | newPoints = DistanceMatrixToPoints.ConvertDistanceMatrixToPoints(orgDm);
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| 110 |
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| 111 | CalculateDistanceMatrix(newDm, newPoints);
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| 112 | Console.WriteLine("orgDm:");
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| 113 | PrintDM(orgDm);
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| 114 | Console.WriteLine("newDm:");
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| 115 | PrintDM(newDm);
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| 116 |
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| 117 | for (int i = 0; i < orgDm.Length; i++) {
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| 118 | for (int j = 0; j < orgDm.Length; j++) {
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| 119 | double diff = orgDm[i][j] - newDm[i][j];
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| 120 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 121 | }
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| 122 | }
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| 123 | }
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| 124 |
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| 125 | [TestMethod]
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| 126 | public void TestDistanceMatrixConversionDynamic() {
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| 127 | int nrOfPoints = 30;
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| 128 | int dim = 20;
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| 129 | double[][] orgPoints = new double[nrOfPoints][];
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| 130 | double[][] orgDm = new double[nrOfPoints][];
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| 131 | double[][] newDm = new double[nrOfPoints][];
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| 132 | double[][] newPoints = null;
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| 133 |
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| 134 | AllocArray(orgPoints, dim);
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| 135 | AllocArray(orgDm, nrOfPoints);
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| 136 | AllocArray(newDm, nrOfPoints);
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| 137 | SamplePoints(orgPoints);
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| 138 | CalculateDistanceMatrix(orgDm, orgPoints);
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| 139 |
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| 140 | newPoints = DistanceMatrixToPoints.ConvertDistanceMatrixToPoints(orgDm, dim);
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| 141 |
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| 142 | CalculateDistanceMatrix(newDm, newPoints);
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| 143 | Console.WriteLine("orgDm:");
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| 144 | PrintDM(orgDm);
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| 145 | Console.WriteLine("newDm:");
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| 146 | PrintDM(newDm);
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| 147 |
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| 148 | for (int i = 0; i < orgDm.Length; i++) {
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| 149 | for (int j = 0; j < orgDm.Length; j++) {
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| 150 | double diff = orgDm[i][j] - newDm[i][j];
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| 151 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 152 | }
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| 153 | }
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| 154 | }
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| 155 |
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| 156 | [TestMethod]
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| 157 | public void TestMetricMDSForPermutations() {
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[10118] | 158 | int nrOfPoints = 10;
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| 159 | int dim = 5;
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[10109] | 160 | Permutation[] orgPoints = new Permutation[nrOfPoints];
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| 161 | double[][] orgDm;
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| 162 | double[][] newDm = new double[nrOfPoints][];
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| 163 | double[][] newPoints = null;
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| 164 |
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| 165 | AllocArray(newDm, nrOfPoints);
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| 166 |
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| 167 | SamplePermutations(orgPoints, dim);
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| 168 | orgDm = CalculateDistanceMatrixFromPermutations(orgPoints);
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| 169 |
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[10118] | 170 | newPoints = DistanceMatrixToPoints.MetricMDS(orgDm, dim, true);
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[10109] | 171 |
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| 172 | CalculateDistanceMatrix(newDm, newPoints);
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| 173 | Console.WriteLine("orgDm:");
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| 174 | PrintDM(orgDm);
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| 175 | Console.WriteLine("newDm:");
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| 176 | PrintDM(newDm);
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| 177 |
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| 178 | for (int i = 0; i < orgDm.Length; i++) {
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| 179 | for (int j = 0; j < orgDm.Length; j++) {
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| 180 | double diff = orgDm[i][j] - newDm[i][j];
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| 181 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 182 | }
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| 183 | }
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| 184 | }
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| 185 |
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[10118] | 186 | [TestMethod]
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| 187 | public void TestMetricMDSForPermutationsStatic() {
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| 188 | int nrOfPoints = 15;
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| 189 | int dim = 5;
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| 190 |
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| 191 | double[][] orgDm = StaticPermutationDM();
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| 192 | double[][] newDm = new double[nrOfPoints][];
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| 193 | double[][] newPoints = null;
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| 194 |
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| 195 | AllocArray(newDm, nrOfPoints);
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| 196 |
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| 197 | newPoints = DistanceMatrixToPoints.MetricMDS(orgDm, dim, true);
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| 198 |
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| 199 | CalculateDistanceMatrix(newDm, newPoints);
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| 200 | Console.WriteLine("orgDm:");
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| 201 | PrintDM(orgDm);
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| 202 | Console.WriteLine("newDm:");
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| 203 | PrintDM(newDm);
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| 204 |
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| 205 | for (int i = 0; i < orgDm.Length; i++) {
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| 206 | for (int j = 0; j < orgDm.Length; j++) {
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| 207 | double diff = Math.Abs(orgDm[i][j] - newDm[i][j]);
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| 208 | if (diff < 0.000001) diff = 0.0;
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| 209 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 210 | }
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| 211 | }
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| 212 | }
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| 213 |
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[10127] | 214 | [TestMethod]
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| 215 | public void TestMetricMDSForSmallDistances() {
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| 216 | int nrOfPoints = 4;
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| 217 | int dim = 2;
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| 218 | double[][] orgPoints = new double[nrOfPoints][];
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| 219 | double[][] orgDm = new double[nrOfPoints][];
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| 220 | double[][] newDm = new double[nrOfPoints][];
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| 221 | double[][] newPoints = null;
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| 222 |
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| 223 | AllocArray(orgPoints, dim);
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| 224 | AllocArray(orgDm, nrOfPoints);
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| 225 | AllocArray(newDm, nrOfPoints);
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| 226 | SmallDiffStaticPoints(orgPoints);
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| 227 | CalculateDistanceMatrix(orgDm, orgPoints);
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| 228 |
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| 229 | Console.WriteLine("orgDm:");
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| 230 | PrintDM(orgDm);
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| 231 |
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| 232 | newPoints = DistanceMatrixToPoints.MetricMDS(orgDm, dim, true);
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| 233 |
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| 234 | CalculateDistanceMatrix(newDm, newPoints);
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| 235 | Console.WriteLine("newDm:");
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| 236 | PrintDM(newDm);
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| 237 |
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| 238 | for (int i = 0; i < orgDm.Length; i++) {
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| 239 | for (int j = 0; j < orgDm.Length; j++) {
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| 240 | double diff = orgDm[i][j] - newDm[i][j];
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| 241 | Assert.IsTrue(diff.IsAlmost(0.0));
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| 242 | }
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| 243 | }
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| 244 | }
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| 245 |
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| 246 | private static void SmallDiffStaticPoints(double[][] points) {
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| 247 | points[0][0] = 1;
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| 248 | points[0][1] = 1;
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| 249 |
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| 250 | points[1][0] = 1.03;
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| 251 | points[1][1] = 1.2;
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| 252 |
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| 253 | points[2][0] = 1.05;
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| 254 | points[2][1] = 1.01;
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| 255 |
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| 256 | points[3][0] = 1.5;
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| 257 | points[3][1] = 1.1;
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| 258 | }
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| 259 |
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[10118] | 260 | private static double[][] StaticPermutationDM() {
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| 261 | double[][] dm = new double[15][];
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| 262 | AllocArray(dm, 15);
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| 263 |
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| 264 | dm[0] = new[] {
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| 265 | 0, 1.09544511501033, 1.09544511501033, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 266 | 0, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033,
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| 267 | 1.4142135623731, 0.894427190999916 };
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| 268 | dm[1] = new[]
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| 269 | {
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| 270 | 1.09544511501033, 0, 1.09544511501033, 0.894427190999916, 0.894427190999916, 0.894427190999916, 0.894427190999916,
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| 271 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033,
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| 272 | 0.894427190999916, 0.894427190999916
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| 273 | };
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| 274 | dm[2] = new[]
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| 275 | {
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| 276 | 1.09544511501033, 1.09544511501033, 0, 0.894427190999916, 0.894427190999916, 0.894427190999916, 1.4142135623731,
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| 277 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 0.894427190999916,
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| 278 | 0.894427190999916
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| 279 | };
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| 280 | dm[3] = new[]
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| 281 | {
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| 282 | 0.894427190999916, 0.894427190999916, 0.894427190999916, 0, 1.09544511501033, 1.09544511501033, 1.09544511501033,
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| 283 | 0.894427190999916, 1.4142135623731, 0.894427190999916, 0.894427190999916, 0.894427190999916, 0.894427190999916,
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| 284 | 1.09544511501033, 1.09544511501033
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| 285 | };
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| 286 | dm[4] = new[]
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| 287 | {
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| 288 | 0.894427190999916, 0.894427190999916, 0.894427190999916, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033,
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| 289 | 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.4142135623731,
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| 290 | 1.09544511501033, 0
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| 291 | };
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| 292 | dm[5] = new[]
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| 293 | {
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| 294 | 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033,
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| 295 | 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916, 0.894427190999916, 0,
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| 296 | 1.09544511501033
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| 297 | };
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| 298 | dm[6] = new[]
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| 299 | {
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| 300 | 0.894427190999916, 0.894427190999916, 1.4142135623731, 1.09544511501033, 1.09544511501033, 1.09544511501033, 0,
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| 301 | 0.894427190999916, 0.894427190999916, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 302 | 1.09544511501033, 1.09544511501033
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| 303 | };
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| 304 | dm[7] = new[]
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| 305 | {
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| 306 | 0, 1.09544511501033, 1.09544511501033, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 307 | 0, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033, 1.4142135623731, 0.894427190999916
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| 308 | };
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| 309 | dm[8] = new[]
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| 310 | {
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| 311 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.4142135623731, 0.894427190999916, 0.894427190999916,
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| 312 | 0.894427190999916, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033,
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| 313 | 0.894427190999916, 0.894427190999916
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| 314 | };
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| 315 | dm[9] = new[]
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| 316 | {
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| 317 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 318 | 0.894427190999916, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033, 0,
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| 319 | 0.894427190999916, 1.4142135623731
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| 320 | };
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| 321 | dm[10] = new[]
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| 322 | {
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| 323 | 0, 1.09544511501033, 1.09544511501033, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 324 | 0, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033, 1.4142135623731, 0.894427190999916
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| 325 | };
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| 326 | dm[11] = new[]
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| 327 | {
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| 328 | 1.09544511501033, 1.09544511501033, 0, 0.894427190999916, 0.894427190999916, 0.894427190999916, 1.4142135623731,
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| 329 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 0.894427190999916,
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| 330 | 0.894427190999916
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| 331 | };
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| 332 | dm[12] = new[]
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| 333 | {
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| 334 | 1.09544511501033, 1.09544511501033, 1.09544511501033, 0.894427190999916, 1.4142135623731, 0.894427190999916,
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| 335 | 0.894427190999916, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033, 0,
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| 336 | 0.894427190999916, 1.4142135623731
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| 337 | };
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| 338 | dm[13] = new[]
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| 339 | {
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| 340 | 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.09544511501033, 1.09544511501033, 0, 1.09544511501033,
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| 341 | 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916, 0.894427190999916, 0,
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| 342 | 1.09544511501033
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| 343 | };
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| 344 | dm[14] = new[]
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| 345 | {
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| 346 | 0.894427190999916, 0.894427190999916, 0.894427190999916, 1.09544511501033, 0, 1.09544511501033, 1.09544511501033,
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| 347 | 0.894427190999916, 0.894427190999916, 1.4142135623731, 0.894427190999916, 0.894427190999916, 1.4142135623731,
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| 348 | 1.09544511501033, 0
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| 349 | };
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| 350 | return dm;
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| 351 | }
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| 352 |
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[10108] | 353 | private static void PrintDM(double[][] dm) {
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| 354 | for (int i = 0; i < dm.Length; i++) {
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| 355 | for (int j = 0; j < dm.Length; j++) {
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| 356 | Console.Write(dm[i][j] + " ");
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| 357 | }
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| 358 | Console.WriteLine();
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| 359 | }
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| 360 | }
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| 361 |
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[10060] | 362 | private static void SamplePoints(double[][] points) {
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| 363 | Random rand = new Random();
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| 364 |
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| 365 | for (int i = 0; i < points.Length; i++) {
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| 366 | for (int j = 0; j < points[i].Length; j++) {
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| 367 | points[i][j] = rand.NextDouble() * 100;
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| 368 | }
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| 369 | }
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| 370 | }
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| 371 |
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[10109] | 372 | private static void SamplePermutations(Permutation[] points, int dim) {
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| 373 | var rand = new HeuristicLab.Random.FastRandom();
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| 374 |
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| 375 | for (int i = 0; i < points.Length; i++) {
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| 376 | var p = new Permutation(PermutationTypes.RelativeUndirected, dim, rand);
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| 377 | points[i] = p;
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| 378 | }
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| 379 | }
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| 380 |
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[10108] | 381 | private static void StaticPoints(double[][] points) {
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| 382 | points[0][0] = 2;
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| 383 | points[0][1] = 1;
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| 384 |
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| 385 | points[1][0] = 5;
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| 386 | points[1][1] = 5;
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| 387 |
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| 388 | points[2][0] = 3;
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| 389 | points[2][1] = 7;
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| 390 | }
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| 391 |
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[10060] | 392 | private static void CalculateDistanceMatrix(double[][] dm, double[][] points) {
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| 393 | for (int i = 0; i < points.Length; i++) {
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| 394 | for (int j = 0; j < points.Length; j++) {
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[10108] | 395 | dm[i][j] = points[i].EuclideanDistance(points[j]);
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[10060] | 396 | }
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| 397 | }
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| 398 | }
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| 399 |
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[10109] | 400 | private static double[][] CalculateDistanceMatrixFromPermutations(Permutation[] points) {
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| 401 | double[][] tmpDm = new double[points.Length][];
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| 402 | AllocArray(tmpDm, points.Length);
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| 403 |
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| 404 | for (int i = 0; i < points.Length; i++) {
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| 405 | for (int j = 0; j < points.Length; j++) {
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| 406 | double diversity = TSPSimilarityCalculator.CalculateSimilarity(points[i], points[j]);
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| 407 | tmpDm[i][j] = diversity;
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| 408 | }
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| 409 | }
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| 410 |
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| 411 | return DistanceMatrixToPoints.TransformToDistances(tmpDm);
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| 412 | }
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| 413 |
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[10060] | 414 | private static void AllocArray(double[][] arr, int size) {
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| 415 | for (int i = 0; i < arr.Length; i++) {
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| 416 | arr[i] = new double[size];
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| 417 | }
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| 418 | }
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| 419 | }
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[10118] | 420 | } |
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