src/test/java/org/apache/commons/math3/ode/nonstiff/LutherStepInterpolatorTest.java

/*
 * 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
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 * 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
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package org.apache.commons.math3.ode.nonstiff;


import java.io.ByteArrayInputStream;
import java.io.ByteArrayOutputStream;
import java.io.IOException;
import java.io.ObjectInputStream;
import java.io.ObjectOutputStream;
import java.util.Random;

import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.MaxCountExceededException;
import org.apache.commons.math3.exception.NoBracketingException;
import org.apache.commons.math3.exception.NumberIsTooSmallException;
import org.apache.commons.math3.ode.ContinuousOutputModel;
import org.apache.commons.math3.ode.TestProblem3;
import org.apache.commons.math3.ode.sampling.StepHandler;
import org.apache.commons.math3.ode.sampling.StepInterpolatorTestUtils;
import org.junit.Assert;
import org.junit.Test;

public class LutherStepInterpolatorTest {

    @Test
    public void derivativesConsistency()
            throws DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException {
        TestProblem3 pb = new TestProblem3();
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;
        LutherIntegrator integ = new LutherIntegrator(step);
        StepInterpolatorTestUtils.checkDerivativesConsistency(integ, pb, 0.01, 6.5e-12);
    }

    @Test
    public void serialization()
            throws IOException, ClassNotFoundException,
            DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException  {

        TestProblem3 pb = new TestProblem3(0.9);
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.0003;
        LutherIntegrator integ = new LutherIntegrator(step);
        integ.addStepHandler(new ContinuousOutputModel());
        integ.integrate(pb,
                        pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);

        ByteArrayOutputStream bos = new ByteArrayOutputStream();
        ObjectOutputStream    oos = new ObjectOutputStream(bos);
        for (StepHandler handler : integ.getStepHandlers()) {
            oos.writeObject(handler);
        }

        Assert.assertTrue(bos.size() > 1200000);
        Assert.assertTrue(bos.size() < 1250000);

        ByteArrayInputStream  bis = new ByteArrayInputStream(bos.toByteArray());
        ObjectInputStream     ois = new ObjectInputStream(bis);
        ContinuousOutputModel cm  = (ContinuousOutputModel) ois.readObject();

        Random random = new Random(347588535632l);
        double maxError = 0.0;
        for (int i = 0; i < 1000; ++i) {
            double r = random.nextDouble();
            double time = r * pb.getInitialTime() + (1.0 - r) * pb.getFinalTime();
            cm.setInterpolatedTime(time);
            double[] interpolatedY = cm.getInterpolatedState ();
            double[] theoreticalY  = pb.computeTheoreticalState(time);
            double dx = interpolatedY[0] - theoreticalY[0];
            double dy = interpolatedY[1] - theoreticalY[1];
            double error = dx * dx + dy * dy;
            if (error > maxError) {
                maxError = error;
            }
        }

        Assert.assertTrue(maxError < 2.2e-7);

    }

}