1 | #region License Information
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2 | /* HeuristicLab
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3 | * Copyright (C) 2002-2010 Heuristic and Evolutionary Algorithms Laboratory (HEAL)
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4 | *
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5 | * This file is part of HeuristicLab.
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6 | *
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7 | * HeuristicLab is free software: you can redistribute it and/or modify
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8 | * it under the terms of the GNU General Public License as published by
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9 | * the Free Software Foundation, either version 3 of the License, or
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10 | * (at your option) any later version.
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11 | *
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12 | * HeuristicLab is distributed in the hope that it will be useful,
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13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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15 | * GNU General Public License for more details.
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16 | *
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17 | * You should have received a copy of the GNU General Public License
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18 | * along with HeuristicLab. If not, see <http://www.gnu.org/licenses/>.
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19 | */
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20 | #endregion
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21 |
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22 | using System;
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23 | using HeuristicLab.Common;
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24 | using HeuristicLab.Core;
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25 | using HeuristicLab.Data;
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26 | using HeuristicLab.Parameters;
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27 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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28 |
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29 | namespace HeuristicLab.Encodings.RealVectorEncoding {
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30 | /// <summary>
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31 | /// Blend alpha crossover for real vectors (BLX-a). Creates a new offspring by selecting a random value
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32 | /// from the interval between the two alleles of the parent solutions. The interval is increased
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33 | /// in both directions by the factor alpha.
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34 | /// </summary>
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35 | /// <remarks>
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36 | /// It is implemented as described in Takahashi, M. and Kita, H. 2001. A crossover operator using independent component analysis for real-coded genetic algorithms Proceedings of the 2001 Congress on Evolutionary Computation, pp. 643-649.<br/>
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37 | /// The default value for alpha is 0.5.
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38 | /// </remarks>
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39 | [Item("BlendAlphaCrossover", "The blend alpha crossover (BLX-a) for real vectors creates new offspring by sampling a new value in the range [min_i - d * alpha, max_i + d * alpha) at each position i. Here min_i and max_i are the smaller and larger value of the two parents at position i and d is max_i - min_i. It is implemented as described in Takahashi, M. and Kita, H. 2001. A crossover operator using independent component analysis for real-coded genetic algorithms Proceedings of the 2001 Congress on Evolutionary Computation, pp. 643-649.")]
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40 | [StorableClass]
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41 | public class BlendAlphaCrossover : RealVectorCrossover {
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42 | /// <summary>
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43 | /// The alpha parameter specifies how much the interval between the parents should be extended to the left and right.
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44 | /// The value of this parameter also determines the name of the operator: BLX-0.0 for example means alpha is set to 0.
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45 | /// When Alpha is 0, then the offspring will only be chosen in between the parents, the bigger alpha is the more it will be possible to choose
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46 | /// values left and right of the min and max value for each gene.
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47 | /// </summary>
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48 | public ValueLookupParameter<DoubleValue> AlphaParameter {
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49 | get { return (ValueLookupParameter<DoubleValue>)Parameters["Alpha"]; }
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50 | }
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51 |
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52 | [StorableConstructor]
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53 | protected BlendAlphaCrossover(bool deserializing) : base(deserializing) { }
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54 | protected BlendAlphaCrossover(BlendAlphaCrossover original, Cloner cloner) : base(original, cloner) { }
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55 | /// <summary>
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56 | /// Initializes a new instance of <see cref="BlendAlphaCrossover"/> with one parameter (<c>Alpha</c>).
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57 | /// </summary>
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58 | public BlendAlphaCrossover()
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59 | : base() {
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60 | Parameters.Add(new ValueLookupParameter<DoubleValue>("Alpha", "The Alpha parameter controls the extension of the range beyond the two parents. It must be >= 0. A value of 0.5 means that half the range is added to both sides of the intervals.", new DoubleValue(0.5)));
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61 | }
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62 |
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63 | public override IDeepCloneable Clone(Cloner cloner) {
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64 | return new BlendAlphaCrossover(this, cloner);
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65 | }
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66 |
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67 | /// <summary>
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68 | /// Performs the blend alpha crossover (BLX-a) of two real vectors.<br/>
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69 | /// It creates new offspring by sampling a new value in the range [min_i - d * alpha, max_i + d * alpha) at each position i.
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70 | /// Here min_i and max_i are the smaller and larger value of the two parents at position i and d is max_i - min_i.
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71 | /// </summary>
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72 | /// <exception cref="ArgumentException">
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73 | /// Thrown when <paramref name="parent1"/> and <paramref name="parent2"/> are of different length or<br/>
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74 | /// when <paramref name="alpha"/> is less than 0.
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75 | /// </exception>
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76 | /// <param name="random">The random number generator.</param>
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77 | /// <param name="parent1">The first parent for the crossover operation.</param>
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78 | /// <param name="parent2">The second parent for the crossover operation.</param>
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79 | /// <param name="alpha">The alpha value for the crossover.</param>
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80 | /// <returns>The newly created real vector resulting from the crossover operation.</returns>
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81 | public static RealVector Apply(IRandom random, RealVector parent1, RealVector parent2, DoubleValue alpha) {
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82 | if (parent1.Length != parent2.Length) throw new ArgumentException("BlendAlphaCrossover: The parents' vectors are of different length.", "parent1");
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83 | if (alpha.Value < 0) throw new ArgumentException("BlendAlphaCrossover: Paramter alpha must be greater or equal than 0.", "alpha");
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84 | int length = parent1.Length;
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85 | RealVector result = new RealVector(length);
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86 | double max = 0, min = 0, d = 0, resMin = 0, resMax = 0;
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87 |
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88 | for (int i = 0; i < length; i++) {
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89 | max = Math.Max(parent1[i], parent2[i]);
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90 | min = Math.Min(parent1[i], parent2[i]);
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91 | d = Math.Abs(max - min);
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92 | resMin = min - d * alpha.Value;
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93 | resMax = max + d * alpha.Value;
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94 |
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95 | result[i] = resMin + random.NextDouble() * Math.Abs(resMax - resMin);
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96 | }
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97 | return result;
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98 | }
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99 |
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100 | /// <summary>
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101 | /// Checks that the number of parents is equal to 2 and forwards the call to <see cref="Apply(IRandom, RealVector, RealVector, DoubleValue)"/>.
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102 | /// </summary>
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103 | /// <exception cref="ArgumentException">Thrown when the number of parents is not equal to 2.</exception>
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104 | /// <exception cref="InvalidOperationException">Thrown when the parameter alpha could not be found.</exception>
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105 | /// <param name="random">The random number generator to use.</param>
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106 | /// <param name="parents">The collection of parents (must be of size 2).</param>
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107 | /// <returns>The real vector resulting from the crossover operation.</returns>
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108 | protected override RealVector Cross(IRandom random, ItemArray<RealVector> parents) {
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109 | if (parents.Length != 2) throw new ArgumentException("BlendAlphaCrossover: The number of parents is not equal to 2", "parents");
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110 | if (AlphaParameter.ActualValue == null) throw new InvalidOperationException("BlendAlphaCrossover: Parameter " + AlphaParameter.ActualName + " could not be found.");
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111 | return Apply(random, parents[0], parents[1], AlphaParameter.ActualValue);
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112 | }
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113 | }
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114 | }
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