1 | using System;
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2 | using HeuristicLab.Common;
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3 | using HeuristicLab.Core;
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4 | using HeuristicLab.Data;
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5 | using HeuristicLab.Encodings.RealVectorEncoding;
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6 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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7 |
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8 | namespace HeuristicLab.Problems.MultiObjectiveTestFunctions {
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9 | [Item("ZDT6", "ZDT6 function as defined in http://www.tik.ee.ethz.ch/sop/download/supplementary/testproblems/ [30.11.2015]")]
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10 | [StorableClass]
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11 | public class ZDT6 : MultiObjectiveTestFunction {
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12 |
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13 | public override DoubleMatrix Bounds {
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14 | get {
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15 | return new DoubleMatrix(new double[,] { { 0, 1 } });
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16 | }
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17 | }
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18 |
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19 | public override bool[] Maximization {
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20 | get {
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21 | return new bool[] { false, false };
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22 | }
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23 | }
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24 |
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25 | public override int MaximumProblemSize {
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26 | get {
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27 | return int.MaxValue;
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28 | }
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29 | }
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30 |
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31 | public override int MaximumSolutionSize {
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32 | get {
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33 | return 2;
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34 | }
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35 | }
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36 |
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37 | public override int MinimumProblemSize {
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38 | get {
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39 | return 1;
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40 | }
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41 | }
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42 |
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43 | public override int MinimumSolutionSize {
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44 | get {
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45 | return 2;
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46 | }
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47 | }
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48 |
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49 | public override int ActualSolutionSize {
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50 | get {
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51 | return 2;
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52 | }
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53 |
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54 | set {
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55 | }
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56 | }
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57 |
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58 | public override RealVector[] OptimalParetoFront {
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59 | get {
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60 | throw new NotImplementedException();
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61 | }
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62 | }
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63 |
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64 | public override RealVector ReferencePoint {
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65 | get { return new RealVector(new double[] { 11.0, 11.0 }); }
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66 | }
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67 |
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68 |
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69 | public override double BestKnownHypervolume {
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70 | get{ return 119.51857519692037009; }
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71 | }
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72 |
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73 | [StorableConstructor]
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74 | protected ZDT6(bool deserializing) : base(deserializing) { }
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75 | protected ZDT6(ZDT6 original, Cloner cloner) : base(original, cloner) { }
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76 | public ZDT6() : base() { }
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77 |
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78 | public override IDeepCloneable Clone(Cloner cloner) {
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79 | return new ZDT6(this, cloner);
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80 | }
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81 |
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82 |
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83 |
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84 | public override double[] Evaluate(RealVector r) {
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85 | double g = 0;
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86 | for (int i = 1; i < r.Length; i++) g += r[i];
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87 | g = 1.0 + 9.0 * Math.Pow(g / (r.Length - 1), 0.25);
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88 | double f1 = 1 - Math.Exp(-4 * r[0]) * Math.Pow(Math.Sin(6 * Math.PI * r[0]), 6);
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89 | double d = f1 / g;
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90 | return new double[] { f1, g*(1.0 - d * d) };
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91 | }
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92 | }
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93 | }
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