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44 changes: 44 additions & 0 deletions
44
commons-math-examples/examples-ga/examples-ga-math-functions/pom.xml
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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. | ||
--> | ||
<project xmlns="http://maven.apache.org/POM/4.0.0" | ||
xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" | ||
xsi:schemaLocation="http://maven.apache.org/POM/4.0.0 https://maven.apache.org/xsd/maven-4.0.0.xsd"> | ||
<modelVersion>4.0.0</modelVersion> | ||
<parent> | ||
<groupId>org.apache.commons</groupId> | ||
<artifactId>examples-ga</artifactId> | ||
<version>4.0-SNAPSHOT</version> | ||
</parent> | ||
<artifactId>examples-ga-math-functions</artifactId> | ||
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<properties> | ||
<maven.compiler.source>1.8</maven.compiler.source> | ||
<maven.compiler.target>1.8</maven.compiler.target> | ||
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<!-- OSGi --> | ||
<commons.osgi.symbolicName>org.apache.commons.math4.examples.ga.mathfunctions</commons.osgi.symbolicName> | ||
<commons.osgi.export>org.apache.commons.math4.examples.ga.mathfunctions</commons.osgi.export> | ||
<!-- Java 9+ --> | ||
<commons.automatic.module.name>org.apache.commons.math4.examples.ga.mathfunctions</commons.automatic.module.name> | ||
<!-- Workaround to avoid duplicating config files. --> | ||
<math.parent.dir>${basedir}/../../..</math.parent.dir> | ||
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<uberjar.name>examples-ga-mathfunctions</uberjar.name> | ||
<project.mainClass>org.apache.commons.math4.examples.ga.mathfunctions.Dimension2FunctionOptimizer</project.mainClass> | ||
</properties> | ||
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</project> |
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64
...unctions/src/main/java/org/apache/commons/math4/examples/ga/mathfunctions/Coordinate.java
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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.math4.examples.ga.mathfunctions; | ||
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/** | ||
* This class represents the coordinate of the problem domain i.e. the phenotype of chromosome. | ||
*/ | ||
public class Coordinate { | ||
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/** coordinate of first dimension. **/ | ||
private final double x; | ||
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/** coordinate of second dimension. **/ | ||
private final double y; | ||
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/** | ||
* constructor. | ||
* @param x coordinate of first dimension | ||
* @param y coordinate of second dimension | ||
*/ | ||
public Coordinate(double x, double y) { | ||
this.x = x; | ||
this.y = y; | ||
} | ||
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/** | ||
* returns the coordinate of first dimension. | ||
* @return coordinate of first dimension | ||
*/ | ||
public double getX() { | ||
return x; | ||
} | ||
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/** | ||
* returns the coordinate of second dimension. | ||
* @return coordinate of second dimension | ||
*/ | ||
public double getY() { | ||
return y; | ||
} | ||
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/** | ||
* Returns a string representation of coordinate. | ||
*/ | ||
@Override | ||
public String toString() { | ||
return "Coordinate [x=" + x + ", y=" + y + "]"; | ||
} | ||
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} |
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51
...s/src/main/java/org/apache/commons/math4/examples/ga/mathfunctions/Dimension2Decoder.java
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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.math4.examples.ga.mathfunctions; | ||
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import java.util.List; | ||
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import org.apache.commons.math4.ga.chromosome.AbstractListChromosome; | ||
import org.apache.commons.math4.ga.chromosome.BinaryChromosome; | ||
import org.apache.commons.math4.ga.decoder.AbstractListChromosomeDecoder; | ||
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/** | ||
* Decoder to convert chromosome's binary genotype to phenotype | ||
* {@link Coordinate}. | ||
*/ | ||
public class Dimension2Decoder extends AbstractListChromosomeDecoder<Integer, Coordinate> { | ||
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/** | ||
* decode the binary representation of chromosome to {@link Coordinate}. | ||
* @param chromosome The {@link AbstractListChromosome} | ||
*/ | ||
@Override | ||
protected Coordinate decode(AbstractListChromosome<Integer, Coordinate> chromosome) { | ||
final BinaryChromosome<Coordinate> binaryChromosome = (BinaryChromosome<Coordinate>) chromosome; | ||
final List<Integer> alleles = binaryChromosome.getRepresentation(); | ||
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final StringBuilder allelesStr = new StringBuilder(); | ||
for (Integer allele : alleles) { | ||
allelesStr.append(Integer.toBinaryString(allele)); | ||
} | ||
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final double x = Integer.parseInt(allelesStr.substring(0, 12), 2) / 100.0; | ||
final double y = Integer.parseInt(allelesStr.substring(12, 24), 2) / 100.0; | ||
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return new Coordinate(x, y); | ||
} | ||
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} |
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40
...in/java/org/apache/commons/math4/examples/ga/mathfunctions/Dimension2FitnessFunction.java
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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. | ||
*/ | ||
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package org.apache.commons.math4.examples.ga.mathfunctions; | ||
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import org.apache.commons.math4.ga.fitness.FitnessFunction; | ||
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/** | ||
* This class represents the mathematical fitness function for optimizing a 2 | ||
* dimension mathematical function. | ||
*/ | ||
public class Dimension2FitnessFunction implements FitnessFunction<Coordinate> { | ||
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/** | ||
* Computes the fitness value based on the decoded chromosome. | ||
* @param coordinate The {@link Coordinate} | ||
* @return the fitness value | ||
*/ | ||
@Override | ||
public double compute(Coordinate coordinate) { | ||
return -Math.pow(Math.pow(coordinate.getX(), 2) + Math.pow(coordinate.getY(), 2), .25) * | ||
(Math.pow(Math.sin(50 * Math.pow(Math.pow(coordinate.getX(), 2) + Math.pow(coordinate.getY(), 2), .1)), | ||
2) + 1); | ||
} | ||
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} |
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.../java/org/apache/commons/math4/examples/ga/mathfunctions/Dimension2FunctionOptimizer.java
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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. | ||
*/ | ||
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package org.apache.commons.math4.examples.ga.mathfunctions; | ||
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import org.apache.commons.math4.ga.crossover.OnePointCrossover; | ||
import org.apache.commons.math4.ga.convergencecond.UnchangedBestFitness; | ||
import org.apache.commons.math4.examples.ga.mathfunctions.utils.Constants; | ||
import org.apache.commons.math4.examples.ga.mathfunctions.utils.GraphPlotter; | ||
import org.apache.commons.math4.ga.GeneticAlgorithm; | ||
import org.apache.commons.math4.ga.chromosome.BinaryChromosome; | ||
import org.apache.commons.math4.ga.chromosome.Chromosome; | ||
import org.apache.commons.math4.ga.convergencecond.StoppingCondition; | ||
import org.apache.commons.math4.ga.listener.ConvergenceListenerRegistry; | ||
import org.apache.commons.math4.ga.listener.PopulationStatisticsLogger; | ||
import org.apache.commons.math4.ga.mutation.BinaryMutation; | ||
import org.apache.commons.math4.ga.population.ListPopulation; | ||
import org.apache.commons.math4.ga.population.Population; | ||
import org.apache.commons.math4.ga.selection.TournamentSelection; | ||
import org.apache.commons.math4.ga.utils.ConsoleLogger; | ||
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/** | ||
* This class represents an optimizer for a 2-dimensional math function using | ||
* genetic algorithm. | ||
*/ | ||
public class Dimension2FunctionOptimizer { | ||
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/** | ||
* Optimizes the 2-dimension fitness function. | ||
* @param args arguments | ||
*/ | ||
public static void main(String[] args) { | ||
final Population<Coordinate> initPopulation = getInitialPopulation(); | ||
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final Dimension2FunctionOptimizer optimizer = new Dimension2FunctionOptimizer(); | ||
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final ConvergenceListenerRegistry<Coordinate> convergenceListenerRegistry = ConvergenceListenerRegistry | ||
.getInstance(); | ||
convergenceListenerRegistry | ||
.addConvergenceListener(new PopulationStatisticsLogger<Coordinate>(Constants.ENCODING)); | ||
convergenceListenerRegistry | ||
.addConvergenceListener(new GraphPlotter("Convergence Stats", "generation", "fitness")); | ||
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optimizer.optimize(initPopulation); | ||
} | ||
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/** | ||
* Optimizes the population. | ||
* @param initial The {@link Population} | ||
*/ | ||
public void optimize(Population<Coordinate> initial) { | ||
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// initialize a new genetic algorithm | ||
final GeneticAlgorithm<Coordinate> ga = new GeneticAlgorithm<>(new OnePointCrossover<Integer, Coordinate>(), | ||
Constants.CROSSOVER_RATE, new BinaryMutation<Coordinate>(), Constants.AVERAGE_MUTATION_RATE, | ||
new TournamentSelection<Coordinate>(Constants.TOURNAMENT_SIZE), Constants.ELITISM_RATE); | ||
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// stopping condition | ||
final StoppingCondition<Coordinate> stopCond = new UnchangedBestFitness<>( | ||
Constants.GENERATION_COUNT_WITH_UNCHANGED_BEST_FUTNESS); | ||
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// run the algorithm | ||
final Population<Coordinate> finalPopulation = ga.evolve(initial, stopCond); | ||
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// best chromosome from the final population | ||
final Chromosome<Coordinate> bestFinal = finalPopulation.getFittestChromosome(); | ||
final ConsoleLogger consoleLogger = ConsoleLogger.getInstance(Constants.ENCODING); | ||
consoleLogger.log("*********************************************"); | ||
consoleLogger.log("***********Optimization Result***************"); | ||
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consoleLogger.log(bestFinal.toString()); | ||
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} | ||
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/** | ||
* Generates an initial population. | ||
* @return initial population | ||
*/ | ||
private static Population<Coordinate> getInitialPopulation() { | ||
final Population<Coordinate> population = new ListPopulation<>(Constants.POPULATION_SIZE); | ||
final Dimension2FitnessFunction fitnessFunction = new Dimension2FitnessFunction(); | ||
final Dimension2Decoder decoder = new Dimension2Decoder(); | ||
for (int i = 0; i < Constants.POPULATION_SIZE; i++) { | ||
population.addChromosome(BinaryChromosome.<Coordinate>randomChromosome(Constants.CHROMOSOME_LENGTH, | ||
fitnessFunction, decoder)); | ||
} | ||
return population; | ||
} | ||
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} |
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