1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 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 | using System;
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22 | using HeuristicLab.Optimization;
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23 | using Microsoft.VisualStudio.TestTools.UnitTesting;
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24 |
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25 | namespace HeuristicLab.Optimization.Tests {
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26 | [TestClass]
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27 | public class FastHypervolumeTest {
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28 | /// <summary>
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29 | /// /*
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30 | /// +-----+
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31 | /// | |
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32 | /// | x |
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33 | /// | |
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34 | /// +-----+
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35 | ///
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36 | /// box between(0,0,0) and(1,1,1) with singular point pareto front at(0.5,0.5,0.5)
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37 | /// Hypervolume should be 0.125;
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38 | ///
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39 | /// </summary>
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40 | [TestMethod]
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41 | [TestCategory("Optimization.MultiObjective")]
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42 | [TestProperty("Time", "short")]
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43 | public void FastHypervolumeTestSinglePoint() {
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44 | double[] point = new double[] { 0.5, 0.5, 0.5 };
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45 | double[][] front = { point };
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46 | double[] referencePoint = new double[] { 1, 1, 1 };
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47 | double hv = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, new bool[3]);
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48 | Assert.AreEqual(0.125, hv);
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49 | }
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50 |
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51 | /// <summary>
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52 | /// /*
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53 | /// +-----+
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54 | /// | x |
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55 | /// | |
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56 | /// | |
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57 | /// +-----+
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58 | ///
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59 | /// box between(0,0) and(1,1) with singular point Pareto front at a random Location
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60 | /// Sum of the Hypervolume to each of the corners should be 1;
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61 | ///
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62 | /// </summary>
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63 | [TestMethod]
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64 | [TestCategory("Optimization.MultiObjective")]
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65 | [TestProperty("Time", "short")]
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66 | public void FastHypervolumeTestRandomSinglePoint() {
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67 | //Front with a single Point
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68 | double[] point = new double[3];
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69 | var r = new System.Random();
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70 |
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71 | point[0] = r.NextDouble();
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72 | point[1] = r.NextDouble();
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73 | point[2] = r.NextDouble();
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74 | double[][] front = { point };
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75 |
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76 | double[] referencePoint = new double[3];
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77 |
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78 | //Northeast
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79 | referencePoint[0] = 1;
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80 | referencePoint[1] = 1;
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81 | referencePoint[2] = 1;
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82 | double hv = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, new bool[3]);
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83 | double hv2 = 1;
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84 | foreach (double d in point) {
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85 | hv2 *= Math.Abs(d - 1);
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86 | }
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87 | Assert.AreEqual(hv2, hv);
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88 | }
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89 |
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90 | /// <summary>
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91 | /// /*
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92 | /// x-----+
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93 | /// | |
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94 | /// | X |
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95 | /// | |
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96 | /// +-----x
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97 | ///
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98 | /// box between(0,0,0) and(1,1,1) with three point (Pareto) front at (1,0,0), (0.5,0.5,0) and (0,1,0)
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99 | /// Hypervolume should be 0.25
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100 | /// </summary>
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101 | [TestMethod]
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102 | [TestCategory("Optimization.MultiObjective")]
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103 | [TestProperty("Time", "short")]
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104 | public void FastHypervolumeTestDiagonalPoint() {
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105 | //Front with three points
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106 | double[] point1 = new double[] { 1, 0, 0 };
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107 | double[] point2 = new double[] { 0, 1, 0 };
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108 | double[] point3 = new double[] { 0.5, 0.5, 0 };
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109 | double[][] front = { point1, point2, point3 };
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110 |
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111 | double[] referencePoint = new double[] { 1, 1, 1 };
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112 | double hv = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, new bool[3]);
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113 | Assert.AreEqual(0.5, hv);
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114 | }
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115 | }
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116 | }
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