source: branches/HeuristicLab.Problems.MultiObjectiveTestFunctions/HeuristicLab.Problems.MultiObjectiveTestFunctions/3.3/Testfunctions/ZDT6.cs @ 13515

using System;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Data;
using HeuristicLab.Encodings.RealVectorEncoding;
using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;

namespace HeuristicLab.Problems.MultiObjectiveTestFunctions {
  [Item("ZDT6", "ZDT6 function as defined in http://www.tik.ee.ethz.ch/sop/download/supplementary/testproblems/ [30.11.2015]")]
  [StorableClass]
  public class ZDT6 : MultiObjectiveTestFunction {

    public override DoubleMatrix Bounds {
      get {
        return new DoubleMatrix(new double[,] { { 0, 1 } });
      }
    }

    public override bool[] Maximization {
      get {
        return new bool[] { false, false };
      }
    }

    public override int MaximumProblemSize {
      get {
        return int.MaxValue;
      }
    }

    public override int MaximumSolutionSize {
      get {
        return 2;
      }
    }

    public override int MinimumProblemSize {
      get {
        return 1;
      }
    }

    public override int MinimumSolutionSize {
      get {
        return 2;
      }
    }

    public override int ActualSolutionSize {
      get {
        return 2;
      }

      set {
      }
    }

    public override RealVector[] OptimalParetoFront {
      get {
        throw new NotImplementedException();
      }
    }

    public override RealVector ReferencePoint {
      get { return new RealVector(new double[] { 11.0, 11.0 }); }
    }


    public override double BestKnownHypervolume {
      get{ return 119.51857519692037009; }
    }

    [StorableConstructor]
    protected ZDT6(bool deserializing) : base(deserializing) { }
    protected ZDT6(ZDT6 original, Cloner cloner) : base(original, cloner) { }
    public ZDT6() : base() { }

    public override IDeepCloneable Clone(Cloner cloner) {
      return new ZDT6(this, cloner);
    }



    public override double[] Evaluate(RealVector r) {
      double g = 0;
      for (int i = 1; i < r.Length; i++) g += r[i];
      g = 1.0 + 9.0 * Math.Pow(g / (r.Length - 1), 0.25);
      double f1 = 1 - Math.Exp(-4 * r[0]) * Math.Pow(Math.Sin(6 * Math.PI * r[0]), 6);
      double d = f1 / g;
      return new double[] { f1, g*(1.0 - d * d) };
    }
  }
}