1 | #region License Information
|
---|
2 | /* HeuristicLab
|
---|
3 | * Copyright (C) Heuristic and Evolutionary Algorithms Laboratory (HEAL)
|
---|
4 | *
|
---|
5 | * This file is part of HeuristicLab.
|
---|
6 | *
|
---|
7 | * HeuristicLab is free software: you can redistribute it and/or modify
|
---|
8 | * it under the terms of the GNU General Public License as published by
|
---|
9 | * the Free Software Foundation, either version 3 of the License, or
|
---|
10 | * (at your option) any later version.
|
---|
11 | *
|
---|
12 | * HeuristicLab is distributed in the hope that it will be useful,
|
---|
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
|
---|
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
---|
15 | * GNU General Public License for more details.
|
---|
16 | *
|
---|
17 | * You should have received a copy of the GNU General Public License
|
---|
18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
|
---|
19 | */
|
---|
20 | #endregion
|
---|
21 | using System;
|
---|
22 | using System.Linq;
|
---|
23 | using HeuristicLab.Optimization;
|
---|
24 | using Microsoft.VisualStudio.TestTools.UnitTesting;
|
---|
25 |
|
---|
26 | namespace HeuristicLab.Optimization.Tests {
|
---|
27 | [TestClass]
|
---|
28 | public class HypervolumeTest {
|
---|
29 |
|
---|
30 | /// <summary>
|
---|
31 | /// /*
|
---|
32 | /// +-----+
|
---|
33 | /// | |
|
---|
34 | /// | x |
|
---|
35 | /// | |
|
---|
36 | /// +-----+
|
---|
37 | ///
|
---|
38 | /// box between(0,0) and(1,1) with singular point Pareto front at(0.5,0.5)
|
---|
39 | /// Hypervolume to each of the corners should be 0.25;
|
---|
40 | ///
|
---|
41 | /// </summary>
|
---|
42 | [TestMethod]
|
---|
43 | [TestCategory("Optimization.MultiObjective")]
|
---|
44 | [TestProperty("Time", "short")]
|
---|
45 | public void HypervolumeTestSinglePoint() {
|
---|
46 |
|
---|
47 | //Front with a single Point
|
---|
48 | double[] point = new double[2];
|
---|
49 | point[0] = 0.5;
|
---|
50 | point[1] = 0.5;
|
---|
51 | double[][] front = { point };
|
---|
52 |
|
---|
53 | double[] referencePoint = new double[2];
|
---|
54 | bool[] maximization;
|
---|
55 |
|
---|
56 | //Northeast
|
---|
57 | maximization = new bool[] { false, false };
|
---|
58 | referencePoint[0] = 1;
|
---|
59 | referencePoint[1] = 1;
|
---|
60 | double ne = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
61 | Assert.AreEqual(0.25, ne);
|
---|
62 |
|
---|
63 | //NorthWest
|
---|
64 | maximization = new bool[] { true, false };
|
---|
65 | referencePoint[0] = 0;
|
---|
66 | referencePoint[1] = 1;
|
---|
67 | double nw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
68 | Assert.AreEqual(0.25, nw);
|
---|
69 |
|
---|
70 | //SouthWest
|
---|
71 | maximization = new bool[] { true, true };
|
---|
72 | referencePoint[0] = 0;
|
---|
73 | referencePoint[1] = 0;
|
---|
74 | double sw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
75 | Assert.AreEqual(0.25, sw);
|
---|
76 |
|
---|
77 | //SouthEast
|
---|
78 | maximization = new bool[] { false, true };
|
---|
79 | referencePoint[0] = 1;
|
---|
80 | referencePoint[1] = 0;
|
---|
81 | double se = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
82 | Assert.AreEqual(0.25, se);
|
---|
83 |
|
---|
84 |
|
---|
85 | }
|
---|
86 |
|
---|
87 | /// <summary>
|
---|
88 | /// /*
|
---|
89 | /// +-----+
|
---|
90 | /// | x |
|
---|
91 | /// | |
|
---|
92 | /// | |
|
---|
93 | /// +-----+
|
---|
94 | ///
|
---|
95 | /// box between(0,0) and(1,1) with singular point Pareto front at a random Location
|
---|
96 | /// Sum of the Hypervolume to each of the corners should be 1;
|
---|
97 | ///
|
---|
98 | /// </summary>
|
---|
99 | [TestMethod]
|
---|
100 | [TestCategory("Optimization.MultiObjective")]
|
---|
101 | [TestProperty("Time", "short")]
|
---|
102 | public void HypervolumeTestRandomSinglePoint() {
|
---|
103 | //Front with a single Point
|
---|
104 | double[] point = new double[2];
|
---|
105 | var r = new System.Random();
|
---|
106 |
|
---|
107 | point[0] = r.NextDouble();
|
---|
108 | point[1] = r.NextDouble();
|
---|
109 | double[][] front = { point };
|
---|
110 |
|
---|
111 | double[] referencePoint = new double[2];
|
---|
112 | bool[] maximization;
|
---|
113 |
|
---|
114 | //Northeast
|
---|
115 | maximization = new bool[] { false, false };
|
---|
116 | referencePoint[0] = 1;
|
---|
117 | referencePoint[1] = 1;
|
---|
118 | double ne = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
119 |
|
---|
120 | //NorthWest
|
---|
121 | maximization = new bool[] { true, false };
|
---|
122 | referencePoint[0] = 0;
|
---|
123 | referencePoint[1] = 1;
|
---|
124 | double nw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
125 |
|
---|
126 | //SouthWest
|
---|
127 | maximization = new bool[] { true, true };
|
---|
128 | referencePoint[0] = 0;
|
---|
129 | referencePoint[1] = 0;
|
---|
130 | double sw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
131 |
|
---|
132 | //SouthEast
|
---|
133 | maximization = new bool[] { false, true };
|
---|
134 | referencePoint[0] = 1;
|
---|
135 | referencePoint[1] = 0;
|
---|
136 | double se = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
137 | Assert.AreEqual(1.0, ne + se + nw + sw, 1e8);
|
---|
138 | }
|
---|
139 |
|
---|
140 | /// <summary>
|
---|
141 | /// /*
|
---|
142 | /// x-----+
|
---|
143 | /// | |
|
---|
144 | /// | X |
|
---|
145 | /// | |
|
---|
146 | /// +-----x
|
---|
147 | ///
|
---|
148 | /// box between(0,0) and(1,1) with three point (Pareto) front at (1,0), (0.5,0.5) and (0,1)
|
---|
149 | /// Hypervolume to (1,0) and (0,1) of the corners should be 1 (dominated Points need to be removed beforehand and
|
---|
150 | /// Hypervolume to (0,0) and (1,1) of the corners should be 0.25
|
---|
151 | /// </summary>
|
---|
152 | [TestMethod]
|
---|
153 | [TestCategory("Optimization.MultiObjective")]
|
---|
154 | [TestProperty("Time", "short")]
|
---|
155 | public void HypervolumeTestDiagonalPoint() {
|
---|
156 | //Front with three points
|
---|
157 | double[] point1 = new double[2];
|
---|
158 | point1[0] = 0;
|
---|
159 | point1[1] = 1;
|
---|
160 | double[] point2 = new double[2];
|
---|
161 | point2[0] = 1;
|
---|
162 | point2[1] = 0;
|
---|
163 | double[] point3 = new double[2];
|
---|
164 | point3[0] = 0.5;
|
---|
165 | point3[1] = 0.5;
|
---|
166 | double[][] front = { point1, point2, point3 };
|
---|
167 |
|
---|
168 | double[] referencePoint = new double[2];
|
---|
169 | bool[] maximization;
|
---|
170 |
|
---|
171 | //Northeast
|
---|
172 | maximization = new bool[] { false, false };
|
---|
173 | referencePoint[0] = 1;
|
---|
174 | referencePoint[1] = 1;
|
---|
175 | double ne = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
176 | Assert.AreEqual(0.25, ne);
|
---|
177 |
|
---|
178 | //NorthWest
|
---|
179 | maximization = new bool[] { true, false };
|
---|
180 | referencePoint[0] = 0;
|
---|
181 | referencePoint[1] = 1;
|
---|
182 | var nonDominatedFront = DominationCalculator.CalculateBestParetoFront(front, front, maximization, false).Select(i => i.Item2).ToList();
|
---|
183 | double nw = HypervolumeCalculator.CalculateHypervolume(nonDominatedFront, referencePoint, maximization);
|
---|
184 | Assert.AreEqual(1, nw);
|
---|
185 |
|
---|
186 | //SouthWest
|
---|
187 | maximization = new bool[] { true, true };
|
---|
188 | referencePoint[0] = 0;
|
---|
189 | referencePoint[1] = 0;
|
---|
190 | double sw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
191 | Assert.AreEqual(0.25, sw);
|
---|
192 |
|
---|
193 | //SouthEast
|
---|
194 | maximization = new bool[] { false, true };
|
---|
195 | referencePoint[0] = 1;
|
---|
196 | referencePoint[1] = 0;
|
---|
197 | nonDominatedFront = DominationCalculator.CalculateBestParetoFront(front, front, maximization, false).Select(i => i.Item2).ToList();
|
---|
198 | double se = HypervolumeCalculator.CalculateHypervolume(nonDominatedFront, referencePoint, maximization);
|
---|
199 | Assert.AreEqual(1, se);
|
---|
200 |
|
---|
201 | }
|
---|
202 |
|
---|
203 | [TestMethod()]
|
---|
204 | [TestCategory("Optimization.MultiObjective")]
|
---|
205 | [TestProperty("Time", "short")]
|
---|
206 | public void HypervolumeTestReferencePointViolationNE() {
|
---|
207 | //Front with a single Point
|
---|
208 | double[] point = new double[2];
|
---|
209 | point[0] = 0.5;
|
---|
210 | point[1] = 0.5;
|
---|
211 | double[][] front = { point };
|
---|
212 |
|
---|
213 | double[] referencePoint = new double[2];
|
---|
214 | bool[] maximization;
|
---|
215 |
|
---|
216 | //Northeast
|
---|
217 | maximization = new bool[] { true, true };
|
---|
218 | referencePoint[0] = 1;
|
---|
219 | referencePoint[1] = 1;
|
---|
220 | double ne = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
221 | Assert.AreEqual(0, ne);
|
---|
222 | }
|
---|
223 |
|
---|
224 | [TestMethod()]
|
---|
225 | [TestCategory("Optimization.MultiObjective")]
|
---|
226 | [TestProperty("Time", "short")]
|
---|
227 | public void HypervolumeTestReferencePointViolationNW() {
|
---|
228 | //Front with a single Point
|
---|
229 | double[] point = new double[2];
|
---|
230 | point[0] = 0.5;
|
---|
231 | point[1] = 0.5;
|
---|
232 | double[][] front = { point };
|
---|
233 |
|
---|
234 | double[] referencePoint = new double[2];
|
---|
235 | bool[] maximization;
|
---|
236 |
|
---|
237 | //NorthWest
|
---|
238 | maximization = new bool[] { false, true };
|
---|
239 | referencePoint[0] = 0;
|
---|
240 | referencePoint[1] = 1;
|
---|
241 | double nw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
242 | Assert.AreEqual(0, nw);
|
---|
243 | }
|
---|
244 |
|
---|
245 | [TestMethod()]
|
---|
246 | [TestCategory("Optimization.MultiObjective")]
|
---|
247 | [TestProperty("Time", "short")]
|
---|
248 | public void HypervolumeTestReferencePointViolationSW() {
|
---|
249 | //Front with a single Point
|
---|
250 | double[] point = new double[2];
|
---|
251 | point[0] = 0.5;
|
---|
252 | point[1] = 0.5;
|
---|
253 | double[][] front = { point };
|
---|
254 |
|
---|
255 | double[] referencePoint = new double[2];
|
---|
256 | bool[] maximization;
|
---|
257 |
|
---|
258 | //SouthWest
|
---|
259 | maximization = new bool[] { false, false };
|
---|
260 | referencePoint[0] = 0;
|
---|
261 | referencePoint[1] = 0;
|
---|
262 | double sw = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
263 | Assert.AreEqual(0, sw);
|
---|
264 | }
|
---|
265 |
|
---|
266 | [TestMethod()]
|
---|
267 | [TestCategory("Optimization.MultiObjective")]
|
---|
268 | [TestProperty("Time", "short")]
|
---|
269 | public void HypervolumeTestReferencePointViolationSE() {
|
---|
270 | //Front with a single Point
|
---|
271 | double[] point = new double[2];
|
---|
272 | point[0] = 0.5;
|
---|
273 | point[1] = 0.5;
|
---|
274 | double[][] front = { point };
|
---|
275 |
|
---|
276 | double[] referencePoint = new double[2];
|
---|
277 | bool[] maximization;
|
---|
278 |
|
---|
279 | //SouthEast
|
---|
280 | maximization = new bool[] { true, false };
|
---|
281 | referencePoint[0] = 1;
|
---|
282 | referencePoint[1] = 0;
|
---|
283 | double se = HypervolumeCalculator.CalculateHypervolume(front, referencePoint, maximization);
|
---|
284 | Assert.AreEqual(0, se);
|
---|
285 | }
|
---|
286 | }
|
---|
287 | }
|
---|