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+/*
+ * 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 org.apache.commons.math3.exception.DimensionMismatchException;
+import org.apache.commons.math3.exception.MathIllegalArgumentException;
+import org.apache.commons.math3.exception.NotStrictlyPositiveException;
+import org.apache.commons.math3.exception.NumberIsTooLargeException;
+import org.apache.commons.math3.exception.util.LocalizedFormats;
+import org.apache.commons.math3.random.RandomGenerator;
+
+import java.util.ArrayList;
+import java.util.List;
+
+/**
+ * N-point crossover policy. For each iteration a random crossover point is selected and the first
+ * part from each parent is copied to the corresponding child, and the second parts are copied
+ * crosswise.
+ *
+ * <p>Example (2-point crossover):
+ *
+ * <pre>
+ * -C- denotes a crossover point
+ * -C- -C- -C- -C-
+ * p1 = (1 0 | 1 0 0 1 | 0 1 1) X p2 = (0 1 | 1 0 1 0 | 1 1 1)
+ * \----/ \-------/ \-----/ \----/ \--------/ \-----/
+ * || (*) || || (**) ||
+ * VV (**) VV VV (*) VV
+ * /----\ /--------\ /-----\ /----\ /--------\ /-----\
+ * c1 = (1 0 | 1 0 1 0 | 0 1 1) X c2 = (0 1 | 1 0 0 1 | 0 1 1)
+ * </pre>
+ *
+ * This policy works only on {@link AbstractListChromosome}, and therefore it is parameterized by T.
+ * Moreover, the chromosomes must have same lengths.
+ *
+ * @param <T> generic type of the {@link AbstractListChromosome}s for crossover
+ * @since 3.1
+ */
+public class NPointCrossover<T> implements CrossoverPolicy {
+
+ /** The number of crossover points. */
+ private final int crossoverPoints;
+
+ /**
+ * Creates a new {@link NPointCrossover} policy using the given number of points.
+ *
+ * <p><b>Note</b>: the number of crossover points must be &lt; <code>chromosome length - 1
+ * </code>. This condition can only be checked at runtime, as the chromosome length is not known
+ * in advance.
+ *
+ * @param crossoverPoints the number of crossover points
+ * @throws NotStrictlyPositiveException if the number of {@code crossoverPoints} is not strictly
+ * positive
+ */
+ public NPointCrossover(final int crossoverPoints) throws NotStrictlyPositiveException {
+ if (crossoverPoints <= 0) {
+ throw new NotStrictlyPositiveException(crossoverPoints);
+ }
+ this.crossoverPoints = crossoverPoints;
+ }
+
+ /**
+ * Returns the number of crossover points used by this {@link CrossoverPolicy}.
+ *
+ * @return the number of crossover points
+ */
+ public int getCrossoverPoints() {
+ return crossoverPoints;
+ }
+
+ /**
+ * Performs a N-point crossover. N random crossover points are selected and are used to divide
+ * the parent chromosomes into segments. The segments are copied in alternate order from the two
+ * parents to the corresponding child chromosomes.
+ *
+ * <p>Example (2-point crossover):
+ *
+ * <pre>
+ * -C- denotes a crossover point
+ * -C- -C- -C- -C-
+ * p1 = (1 0 | 1 0 0 1 | 0 1 1) X p2 = (0 1 | 1 0 1 0 | 1 1 1)
+ * \----/ \-------/ \-----/ \----/ \--------/ \-----/
+ * || (*) || || (**) ||
+ * VV (**) VV VV (*) VV
+ * /----\ /--------\ /-----\ /----\ /--------\ /-----\
+ * c1 = (1 0 | 1 0 1 0 | 0 1 1) X c2 = (0 1 | 1 0 0 1 | 0 1 1)
+ * </pre>
+ *
+ * @param first first parent (p1)
+ * @param second second parent (p2)
+ * @return pair of two children (c1,c2)
+ * @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") // OK because of instanceof checks
+ 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
+ * @throws NumberIsTooLargeException if the number of crossoverPoints is too large for the
+ * actual chromosomes
+ */
+ private ChromosomePair mate(
+ final AbstractListChromosome<T> first, final AbstractListChromosome<T> second)
+ throws DimensionMismatchException, NumberIsTooLargeException {
+
+ final int length = first.getLength();
+ if (length != second.getLength()) {
+ throw new DimensionMismatchException(second.getLength(), length);
+ }
+ if (crossoverPoints >= length) {
+ throw new NumberIsTooLargeException(crossoverPoints, length, false);
+ }
+
+ // 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();
+
+ List<T> c1 = child1Rep;
+ List<T> c2 = child2Rep;
+
+ int remainingPoints = crossoverPoints;
+ int lastIndex = 0;
+ for (int i = 0; i < crossoverPoints; i++, remainingPoints--) {
+ // select the next crossover point at random
+ final int crossoverIndex =
+ 1 + lastIndex + random.nextInt(length - lastIndex - remainingPoints);
+
+ // copy the current segment
+ for (int j = lastIndex; j < crossoverIndex; j++) {
+ c1.add(parent1Rep.get(j));
+ c2.add(parent2Rep.get(j));
+ }
+
+ // swap the children for the next segment
+ List<T> tmp = c1;
+ c1 = c2;
+ c2 = tmp;
+
+ lastIndex = crossoverIndex;
+ }
+
+ // copy the last segment
+ for (int j = lastIndex; j < length; j++) {
+ c1.add(parent1Rep.get(j));
+ c2.add(parent2Rep.get(j));
+ }
+
+ return new ChromosomePair(
+ first.newFixedLengthChromosome(child1Rep),
+ second.newFixedLengthChromosome(child2Rep));
+ }
+}