1  #region License Information


2  /* HeuristicLab


3  * Copyright (C) 20022012 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 


22  using System;


23  using System.Collections.Generic;


24  using System.Linq;


25 


26  namespace HeuristicLab.Problems.Instances.DataAnalysis {


27  public class SalutowiczFunctionOneDimensional : ArtificialRegressionDataDescriptor {


28 


29  public override string Name { get { return "Vladislavleva2 F2(X) = exp(X) * X³ * cos(X) * sin(X) * (cos(X)sin(X)²  1)"; } }


30  public override string Description {


31  get {


32  return "Paper: Order of Nonlinearity as a Complexity Measure for Models Generated by Symbolic Regression via Pareto Genetic Programming " + Environment.NewLine


33  + "Authors: Ekaterina J. Vladislavleva, Member, IEEE, Guido F. Smits, Member, IEEE, and Dick den Hertog" + Environment.NewLine


34  + "Function: F2(X) = exp(X) * X³ * cos(X) * sin(X) * (cos(X)sin(X)²  1)" + Environment.NewLine


35  + "Training Data: 100 points X = (0.05:0.1:10)" + Environment.NewLine


36  + "Test Data: 221 points X = (0.5:0.05:10.5)" + Environment.NewLine


37  + "Function Set: +, , *, /, square, e^x, e^x, sin(x), cos(x), x^eps, x + eps, x + eps";


38  }


39  }


40  protected override string TargetVariable { get { return "Y"; } }


41  protected override string[] InputVariables { get { return new string[] { "X", "Y" }; } }


42  protected override string[] AllowedInputVariables { get { return new string[] { "X" }; } }


43  protected override int TrainingPartitionStart { get { return 0; } }


44  protected override int TrainingPartitionEnd { get { return 100; } }


45  protected override int TestPartitionStart { get { return 100; } }


46  protected override int TestPartitionEnd { get { return 321; } }


47 


48  protected override List<List<double>> GenerateValues() {


49  List<List<double>> data = new List<List<double>>();


50  data.Add(ValueGenerator.GenerateSteps(0.05, 10, 0.1).ToList());


51  data[0].AddRange(ValueGenerator.GenerateSteps(0.5, 10.5, 0.05));


52 


53  double x;


54  List<double> results = new List<double>();


55  for (int i = 0; i < data[0].Count; i++) {


56  x = data[0][i];


57  results.Add(Math.Exp(x) * Math.Pow(x, 3) * Math.Cos(x) * Math.Sin(x) * (Math.Cos(x) * Math.Pow(Math.Sin(x), 2)  1));


58  }


59  data.Add(results);


60 


61  return data;


62  }


63  }


64  }

