Package org.apache.commons.math3.ode

Examples of org.apache.commons.math3.ode.TestProblem1

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

        TestProblem1 pb = new TestProblem1();
        AdamsBashforthIntegrator integ = new AdamsBashforthIntegrator(4, 0.0, 1.0, 1.0e-10, 1.0e-10);
        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 () >  25500);
        Assert.assertTrue(bos.size () <  26500);

        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;
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  @Test(expected=DimensionMismatchException.class)
  public void testDimensionCheck()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      TestProblem1 pb = new TestProblem1();
      new ThreeEighthesIntegrator(0.01).integrate(pb,
                                                  0.0, new double[pb.getDimension()+10],
                                                  1.0, new double[pb.getDimension()+10]);
        Assert.fail("an exception should have been thrown");
  }
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@Test
public void testSmallStep()
     throws DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException {

    TestProblem1 pb = new TestProblem1();
    double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;

    FirstOrderIntegrator integ = new ThreeEighthesIntegrator(step);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);
    integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    Assert.assertTrue(handler.getLastError() < 2.0e-13);
    Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    Assert.assertEquals("3/8", integ.getName());
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  @Test
  public void testBigStep()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    TestProblem1 pb = new TestProblem1();
    double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.2;

    FirstOrderIntegrator integ = new ThreeEighthesIntegrator(step);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);
    integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    Assert.assertTrue(handler.getLastError() > 0.0004);
    Assert.assertTrue(handler.getMaximalValueError() > 0.005);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

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public class AdamsBashforthIntegratorTest {

    @Test(expected=DimensionMismatchException.class)
    public void dimensionCheck() throws NumberIsTooSmallException, DimensionMismatchException, MaxCountExceededException, NoBracketingException {
        TestProblem1 pb = new TestProblem1();
        FirstOrderIntegrator integ =
            new AdamsBashforthIntegrator(2, 0.0, 1.0, 1.0e-10, 1.0e-10);
        integ.integrate(pb,
                        0.0, new double[pb.getDimension()+10],
                        1.0, new double[pb.getDimension()+10]);
    }
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    }

    @Test(expected=NumberIsTooSmallException.class)
    public void testMinStep() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {

          TestProblem1 pb = new TestProblem1();
          double minStep = 0.1 * (pb.getFinalTime() - pb.getInitialTime());
          double maxStep = pb.getFinalTime() - pb.getInitialTime();
          double[] vecAbsoluteTolerance = { 1.0e-15, 1.0e-16 };
          double[] vecRelativeTolerance = { 1.0e-15, 1.0e-16 };

          FirstOrderIntegrator integ = new AdamsBashforthIntegrator(4, minStep, maxStep,
                                                                    vecAbsoluteTolerance,
                                                                    vecRelativeTolerance);
          TestProblemHandler handler = new TestProblemHandler(pb, integ);
          integ.addStepHandler(handler);
          integ.integrate(pb,
                          pb.getInitialTime(), pb.getInitialState(),
                          pb.getFinalTime(), new double[pb.getDimension()]);

    }
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    public void testIncreasingTolerance() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException
        {

        int previousCalls = Integer.MAX_VALUE;
        for (int i = -12; i < -5; ++i) {
            TestProblem1 pb = new TestProblem1();
            double minStep = 0;
            double maxStep = pb.getFinalTime() - pb.getInitialTime();
            double scalAbsoluteTolerance = FastMath.pow(10.0, i);
            double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

            FirstOrderIntegrator integ = new AdamsBashforthIntegrator(4, minStep, maxStep,
                                                                      scalAbsoluteTolerance,
                                                                      scalRelativeTolerance);
            TestProblemHandler handler = new TestProblemHandler(pb, integ);
            integ.addStepHandler(handler);
            integ.integrate(pb,
                            pb.getInitialTime(), pb.getInitialState(),
                            pb.getFinalTime(), new double[pb.getDimension()]);

            // the 50 and 300 factors are only valid for this test
            // and has been obtained from trial and error
            // there is no general relation between local and global errors
            Assert.assertTrue(handler.getMaximalValueError() > (50.0 * scalAbsoluteTolerance));
            Assert.assertTrue(handler.getMaximalValueError() < (300.0 * scalAbsoluteTolerance));
            Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-16);

            int calls = pb.getCalls();
            Assert.assertEquals(integ.getEvaluations(), calls);
            Assert.assertTrue(calls <= previousCalls);
            previousCalls = calls;

        }
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    }

    @Test(expected = MaxCountExceededException.class)
    public void exceedMaxEvaluations() throws DimensionMismatchException, NumberIsTooSmallException, MaxCountExceededException, NoBracketingException {

        TestProblem1 pb  = new TestProblem1();
        double range = pb.getFinalTime() - pb.getInitialTime();

        AdamsBashforthIntegrator integ = new AdamsBashforthIntegrator(2, 0, range, 1.0e-12, 1.0e-12);
        TestProblemHandler handler = new TestProblemHandler(pb, integ);
        integ.addStepHandler(handler);
        integ.setMaxEvaluations(650);
        integ.integrate(pb,
                        pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);

    }
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  @Test(expected=DimensionMismatchException.class)
  public void testDimensionCheck()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      TestProblem1 pb = new TestProblem1();
      new GillIntegrator(0.01).integrate(pb,
                                         0.0, new double[pb.getDimension()+10],
                                         1.0, new double[pb.getDimension()+10]);
        Assert.fail("an exception should have been thrown");
  }
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  @Test
  public void testSmallStep()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    TestProblem1 pb = new TestProblem1();
    double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;

    FirstOrderIntegrator integ = new GillIntegrator(step);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);
    integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    Assert.assertTrue(handler.getLastError() < 2.0e-13);
    Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    Assert.assertEquals("Gill", integ.getName());
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Related Classes of org.apache.commons.math3.ode.TestProblem1

  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
  • org.apache.commons.math3.analysis.UnivariateFunction
  • org.apache.commons.math3.complex.Complex
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