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source: branches/HeuristicLab.Problems.MultiObjectiveTestFunctions/HeuristicLab.Problems.MultiObjectiveTestFunctions/3.3/Testfunctions/DTLZ/DTLZ3.cs @ 13672

Last change on this file since 13672 was 13672, checked in by bwerth, 8 years ago

#1087 added Analyzers, reworked PFStore, added licence information, cleaned code

File size: 2.7 KB
Line 
1#region License Information
2/* HeuristicLab
3 * Copyright (C) 2002-2016 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
21using System;
22using HeuristicLab.Common;
23using HeuristicLab.Core;
24using HeuristicLab.Encodings.RealVectorEncoding;
25using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
26
27namespace HeuristicLab.Problems.MultiObjectiveTestFunctions {
28  [Item("DTLZ3", "Testfunction as defined as DTLZ3 in http://repository.ias.ac.in/81671/ [30.11.15]")]
29  [StorableClass]
30  public class DTLZ3 : DTLZ {
31
32    public override double BestKnownHypervolume(int objectives) {
33      if (objectives == 2) return 121.0 - 1.0 / 4.0 * Math.PI;
34      return -1;
35    }
36
37    [StorableConstructor]
38    protected DTLZ3(bool deserializing) : base(deserializing) { }
39    protected DTLZ3(DTLZ3 original, Cloner cloner) : base(original, cloner) { }
40    public DTLZ3() : base() { }
41
42    public override IDeepCloneable Clone(Cloner cloner) {
43      return new DTLZ3(this, cloner);
44    }
45
46    public override double[] Evaluate(RealVector r, int objectives) {
47      if (r.Length < objectives) {
48        throw new Exception("The dimensionality of the problem(ProblemSize) must be larger or equal than the dimensionality of the solution(SolutionSize) ");
49      }
50      double[] res = new double[objectives];
51
52      //calculate g(Xm)
53      double sum = 0, length = 0;
54      for (int i = objectives; i < r.Length; i++) {
55        double d = r[i] - 0.5;
56        sum += d * d - Math.Cos(20 * Math.PI * d);
57        length += r[i] * r[i];
58      }
59      length = Math.Sqrt(length);
60      double g = 100 * (length + sum);
61
62      //calculating f0...fM-1
63      for (int i = 0; i < objectives; i++) {
64        double f = i == 0 ? 1 : (Math.Sin(r[objectives - i - 1] * Math.PI / 2)) * (1 + g);
65        for (int j = 0; j < objectives - i - 1; j++) {
66          f *= Math.Cos(r[j] * Math.PI / 2);
67        }
68        res[i] = f;
69      }
70      return res;
71    }
72  }
73}
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