/* * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You under the Apache License, Version 2.0 * (the "License"); you may not use this file except in compliance with * the License. You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ package org.apache.commons.math3.genetics; import java.util.ArrayList; import java.util.List; import org.apache.commons.math3.exception.DimensionMismatchException; import org.apache.commons.math3.exception.MathIllegalArgumentException; import org.apache.commons.math3.exception.OutOfRangeException; import org.apache.commons.math3.exception.util.LocalizedFormats; import org.apache.commons.math3.random.RandomGenerator; /** * Perform Uniform Crossover [UX] on the specified chromosomes. A fixed mixing * ratio is used to combine genes from the first and second parents, e.g. using a * ratio of 0.5 would result in approximately 50% of genes coming from each * parent. This is typically a poor method of crossover, but empirical evidence * suggests that it is more exploratory and results in a larger part of the * problem space being searched. * <p> * This crossover policy evaluates each gene of the parent chromosomes by chosing a * uniform random number {@code p} in the range [0, 1]. If {@code p} < {@code ratio}, * the parent genes are swapped. This means with a ratio of 0.7, 30% of the genes from the * first parent and 70% from the second parent will be selected for the first offspring (and * vice versa for the second offspring). * <p> * This policy works only on {@link AbstractListChromosome}, and therefore it * is parameterized by T. Moreover, the chromosomes must have same lengths. * * @see <a href="http://en.wikipedia.org/wiki/Crossover_%28genetic_algorithm%29">Crossover techniques (Wikipedia)</a> * @see <a href="http://www.obitko.com/tutorials/genetic-algorithms/crossover-mutation.php">Crossover (Obitko.com)</a> * @see <a href="http://www.tomaszgwiazda.com/uniformX.htm">Uniform crossover</a> * @param <T> generic type of the {@link AbstractListChromosome}s for crossover * @since 3.1 */ public class UniformCrossover<T> implements CrossoverPolicy { /** The mixing ratio. */ private final double ratio; /** * Creates a new {@link UniformCrossover} policy using the given mixing ratio. * * @param ratio the mixing ratio * @throws OutOfRangeException if the mixing ratio is outside the [0, 1] range */ public UniformCrossover(final double ratio) throws OutOfRangeException { if (ratio < 0.0d || ratio > 1.0d) { throw new OutOfRangeException(LocalizedFormats.CROSSOVER_RATE, ratio, 0.0d, 1.0d); } this.ratio = ratio; } /** * Returns the mixing ratio used by this {@link CrossoverPolicy}. * * @return the mixing ratio */ public double getRatio() { return ratio; } /** * {@inheritDoc} * * @throws MathIllegalArgumentException iff one of the chromosomes is * not an instance of {@link AbstractListChromosome} * @throws DimensionMismatchException if the length of the two chromosomes is different */ @SuppressWarnings("unchecked") public ChromosomePair crossover(final Chromosome first, final Chromosome second) throws DimensionMismatchException, MathIllegalArgumentException { if (!(first instanceof AbstractListChromosome<?> && second instanceof AbstractListChromosome<?>)) { throw new MathIllegalArgumentException(LocalizedFormats.INVALID_FIXED_LENGTH_CHROMOSOME); } return mate((AbstractListChromosome<T>) first, (AbstractListChromosome<T>) second); } /** * Helper for {@link #crossover(Chromosome, Chromosome)}. Performs the actual crossover. * * @param first the first chromosome * @param second the second chromosome * @return the pair of new chromosomes that resulted from the crossover * @throws DimensionMismatchException if the length of the two chromosomes is different */ private ChromosomePair mate(final AbstractListChromosome<T> first, final AbstractListChromosome<T> second) throws DimensionMismatchException { final int length = first.getLength(); if (length != second.getLength()) { throw new DimensionMismatchException(second.getLength(), length); } // array representations of the parents final List<T> parent1Rep = first.getRepresentation(); final List<T> parent2Rep = second.getRepresentation(); // and of the children final List<T> child1Rep = new ArrayList<T>(length); final List<T> child2Rep = new ArrayList<T>(length); final RandomGenerator random = GeneticAlgorithm.getRandomGenerator(); for (int index = 0; index < length; index++) { if (random.nextDouble() < ratio) { // swap the bits -> take other parent child1Rep.add(parent2Rep.get(index)); child2Rep.add(parent1Rep.get(index)); } else { child1Rep.add(parent1Rep.get(index)); child2Rep.add(parent2Rep.get(index)); } } return new ChromosomePair(first.newFixedLengthChromosome(child1Rep), second.newFixedLengthChromosome(child2Rep)); } }