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source: trunk/sources/HeuristicLab.Encodings.RealVectorEncoding/3.3/Crossovers/SimulatedBinaryCrossover.cs @ 4068

Last change on this file since 4068 was 4068, checked in by swagner, 14 years ago

Sorted usings and removed unused usings in entire solution (#1094)

File size: 6.3 KB
Line 
1#region License Information
2/* HeuristicLab
3 * Copyright (C) 2002-2010 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
22using System;
23using HeuristicLab.Core;
24using HeuristicLab.Data;
25using HeuristicLab.Parameters;
26using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
27
28namespace HeuristicLab.Encodings.RealVectorEncoding {
29  /// <summary>
30  /// Performs the simulated binary crossover (SBX) on a vector of real values such that each position is either crossed contracted or expanded with a certain probability.
31  /// The probability distribution is designed such that the children will lie closer to their parents as is the case with the single point binary crossover.
32  /// </summary>
33  /// <remarks>
34  /// It is implemented as described in Deb, K. and Agrawal, R. B. 1995. Simulated binary crossover for continuous search space. Complex Systems, 9, pp. 115-148.
35  /// </remarks>
36  [Item("SimulatedBinaryCrossover", "The simulated binary crossover (SBX) is implemented as described in Deb, K. and Agrawal, R. B. 1995. Simulated binary crossover for continuous search space. Complex Systems, 9, pp. 115-148.")]
37  [StorableClass]
38  public class SimulatedBinaryCrossover : RealVectorCrossover {
39    /// <summary>
40    /// The parameter must be greater or equal than 0. Common values are in the range [0;5] and more often just [2;5].
41    /// </summary>
42    public ValueLookupParameter<DoubleValue> ContiguityParameter {
43      get { return (ValueLookupParameter<DoubleValue>)Parameters["Contiguity"]; }
44    }
45
46    /// <summary>
47    /// Initializes a new instance of <see cref="SimulatedBinaryCrossover"/> with one
48    /// parameter (<c>Contiguity</c>).
49    /// </summary>
50    public SimulatedBinaryCrossover()
51      : base() {
52      Parameters.Add(new ValueLookupParameter<DoubleValue>("Contiguity", "Specifies whether the crossover should produce very different (small value) or very similar (large value) children. Valid values must be greater or equal to 0.", new DoubleValue(2)));
53    }
54
55    /// <summary>
56    /// Performs the simulated binary crossover on a real vector. Each position is crossed with a probability of 50% and if crossed either a contracting crossover or an expanding crossover is performed, again with equal probability.
57    /// For more details refer to the paper by Deb and Agrawal.
58    /// </summary>
59    /// <exception cref="ArgumentException">Thrown when the parents' vectors are of unequal length or when <paramref name="contiguity"/> is smaller than 0.</exception>
60    /// <remarks>
61    /// The manipulated value is not restricted by the (possibly) specified lower and upper bounds. Use the <see cref="BoundsChecker"/> to correct the values after performing the crossover.
62    /// </remarks>
63    /// <param name="random">The random number generator to use.</param>
64    /// <param name="parent1">The first parent vector.</param>
65    /// <param name="parent2">The second parent vector.</param>
66    /// <param name="contiguity">The contiguity value that specifies how close a child should be to its parents (larger value means closer). The value must be greater or equal than 0. Typical values are in the range [2;5].</param>
67    /// <returns>The vector resulting from the crossover.</returns>
68    public static RealVector Apply(IRandom random, RealVector parent1, RealVector parent2, DoubleValue contiguity) {
69      if (parent1.Length != parent2.Length) throw new ArgumentException("SimulatedBinaryCrossover: Parents are of unequal length");
70      if (contiguity.Value < 0) throw new ArgumentException("SimulatedBinaryCrossover: Contiguity value is smaller than 0", "contiguity");
71      int length = parent1.Length;
72      RealVector result = new RealVector(length);
73      for (int i = 0; i < length; i++) {
74        if (length == 1 || random.NextDouble() < 0.5) { // cross this variable
75          double u = random.NextDouble();
76          double beta = 0;
77          if (u < 0.5) { // if u is smaller than 0.5 perform a contracting crossover
78            beta = Math.Pow(2 * u, 1.0 / (contiguity.Value + 1));
79          } else if (u > 0.5) { // otherwise perform an expanding crossover
80            beta = Math.Pow(0.5 / (1.0 - u), 1.0 / (contiguity.Value + 1));
81          } else if (u == 0.5)
82            beta = 1;
83
84          if (random.NextDouble() < 0.5)
85            result[i] = ((parent1[i] + parent2[i]) / 2.0) - beta * 0.5 * Math.Abs(parent1[i] - parent2[i]);
86          else
87            result[i] = ((parent1[i] + parent2[i]) / 2.0) + beta * 0.5 * Math.Abs(parent1[i] - parent2[i]);
88        } else result[i] = parent1[i];
89      }
90      return result;
91    }
92
93    /// <summary>
94    /// Checks number of parents, availability of the parameters and forwards the call to <see cref="Apply(IRandom, RealVector, RealVector, DoubleValue)"/>.
95    /// </summary>
96    /// <exception cref="ArgumentException">Thrown when there are not exactly 2 parents or when the contiguity parameter could not be found.</exception>
97    /// <param name="random">The random number generator.</param>
98    /// <param name="parents">The collection of parents (must be of size 2).</param>
99    /// <returns>The real vector resulting from the crossover.</returns>
100    protected override RealVector Cross(IRandom random, ItemArray<RealVector> parents) {
101      if (parents.Length != 2) throw new ArgumentException("SimulatedBinaryCrossover: The number of parents is not equal to 2");
102      if (ContiguityParameter.ActualValue == null) throw new InvalidOperationException("SimulatedBinaryCrossover: Parameter " + ContiguityParameter.ActualName + " could not be found.");
103      return Apply(random, parents[0], parents[1], ContiguityParameter.ActualValue);
104    }
105  }
106}
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