#region License Information /* HeuristicLab * Copyright (C) 2002-2019 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 HeuristicLab.Common; using HeuristicLab.Core; using HeuristicLab.Data; using HeuristicLab.Parameters; using HEAL.Attic; namespace HeuristicLab.Encodings.RealVectorEncoding { /// /// Blend alpha crossover for real vectors (BLX-a). Creates a new offspring by selecting a random value /// from the interval between the two alleles of the parent solutions. The interval is increased /// in both directions by the factor alpha. /// /// /// 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.
/// The default value for alpha is 0.5. ///
[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.")] [StorableType("A56EA6B8-79A2-4762-B651-BEBAB95F8E8E")] public class BlendAlphaCrossover : RealVectorCrossover { /// /// The alpha parameter specifies how much the interval between the parents should be extended to the left and right. /// The value of this parameter also determines the name of the operator: BLX-0.0 for example means alpha is set to 0. /// 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 /// values left and right of the min and max value for each gene. /// public ValueLookupParameter AlphaParameter { get { return (ValueLookupParameter)Parameters["Alpha"]; } } [StorableConstructor] protected BlendAlphaCrossover(StorableConstructorFlag _) : base(_) { } protected BlendAlphaCrossover(BlendAlphaCrossover original, Cloner cloner) : base(original, cloner) { } /// /// Initializes a new instance of with one parameter (Alpha). /// public BlendAlphaCrossover() : base() { Parameters.Add(new ValueLookupParameter("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))); } public override IDeepCloneable Clone(Cloner cloner) { return new BlendAlphaCrossover(this, cloner); } /// /// Performs the blend alpha crossover (BLX-a) of two real vectors.
/// It 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. ///
/// /// Thrown when and are of different length or
/// when is less than 0. ///
/// The random number generator. /// The first parent for the crossover operation. /// The second parent for the crossover operation. /// The alpha value for the crossover. /// The newly created real vector resulting from the crossover operation. public static RealVector Apply(IRandom random, RealVector parent1, RealVector parent2, DoubleValue alpha) { if (parent1.Length != parent2.Length) throw new ArgumentException("BlendAlphaCrossover: The parents' vectors are of different length.", "parent1"); if (alpha.Value < 0) throw new ArgumentException("BlendAlphaCrossover: Paramter alpha must be greater or equal than 0.", "alpha"); int length = parent1.Length; RealVector result = new RealVector(length); double max = 0, min = 0, d = 0, resMin = 0, resMax = 0; for (int i = 0; i < length; i++) { max = Math.Max(parent1[i], parent2[i]); min = Math.Min(parent1[i], parent2[i]); d = Math.Abs(max - min); resMin = min - d * alpha.Value; resMax = max + d * alpha.Value; result[i] = resMin + random.NextDouble() * Math.Abs(resMax - resMin); } return result; } /// /// Checks that the number of parents is equal to 2 and forwards the call to . /// /// Thrown when the number of parents is not equal to 2. /// Thrown when the parameter alpha could not be found. /// The random number generator to use. /// The collection of parents (must be of size 2). /// The real vector resulting from the crossover operation. protected override RealVector Cross(IRandom random, ItemArray parents) { if (parents.Length != 2) throw new ArgumentException("BlendAlphaCrossover: The number of parents is not equal to 2", "parents"); if (AlphaParameter.ActualValue == null) throw new InvalidOperationException("BlendAlphaCrossover: Parameter " + AlphaParameter.ActualName + " could not be found."); return Apply(random, parents[0], parents[1], AlphaParameter.ActualValue); } } }