#region License Information
/* HeuristicLab
* Copyright (C) Heuristic and Evolutionary Algorithms Laboratory (HEAL)
*
* This file is part of HeuristicLab.
*
* HeuristicLab is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* HeuristicLab is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with HeuristicLab. If not, see .
*/
#endregion
using System;
using System.Collections.Generic;
using HeuristicLab.Common;
using HeuristicLab.Core;
using HeuristicLab.Encodings.RealVectorEncoding;
using HEAL.Attic;
namespace HeuristicLab.Problems.TestFunctions.MultiObjective {
[Item("SchafferN1", "Schaffer function N.1 for mulitobjective optimization from // https://en.wikipedia.org/wiki/Test_functions_for_optimization [30.11.2015]")]
[StorableType("A676EB9C-ECA8-40D7-BA16-ADDDDD482092")]
public class SchafferN1 : MultiObjectiveTestFunction {
protected override double[,] GetBounds(int objectives) {
return new double[,] { { -1e5, 1e5 } };
}
protected override bool[] GetMaximization(int objectives) {
return new bool[2];
}
protected override double[] GetReferencePoint(int objectives) {
return new double[] { 1e5, 1e5 };
}
protected override IEnumerable GetOptimalParetoFront(int objectives) {
return ParetoFrontStore.GetParetoFront("Misc.ParetoFronts." + "SchafferN1");
}
protected override double GetBestKnownHypervolume(int objectives) {
return Hypervolume.Calculate(GetOptimalParetoFront(objectives), GetReferencePoint(objectives), GetMaximization(objectives));
}
[StorableConstructor]
protected SchafferN1(StorableConstructorFlag _) : base(_) { }
protected SchafferN1(SchafferN1 original, Cloner cloner) : base(original, cloner) { }
public override IDeepCloneable Clone(Cloner cloner) {
return new SchafferN1(this, cloner);
}
public SchafferN1() : base(minimumObjectives: 2, maximumObjectives: 2, minimumSolutionLength: 1, maximumSolutionLength: 1) { }
public override double[] Evaluate(RealVector r, int objectives) {
if (objectives != 2) throw new ArgumentException("The Schaffer N1 problem must always have 2 objectives");
if (r.Length != 1) return null;
double x = r[0];
//objective1
double f0 = x * x;
//objective0
double f1 = x - 2;
f1 *= f1;
return new double[] { f0, f1 };
}
}
}