Package org.apache.commons.math3.ode

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

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  @Test(expected=DimensionMismatchException.class)
  public void testDimensionCheck()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      TestProblem1 pb = new TestProblem1();
      AdaptiveStepsizeIntegrator integrator =
        new GraggBulirschStoerIntegrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      integrator.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 testNullIntervalCheck()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      TestProblem1 pb = new TestProblem1();
      GraggBulirschStoerIntegrator integrator =
        new GraggBulirschStoerIntegrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      integrator.integrate(pb,
                           0.0, new double[pb.getDimension()],
                           0.0, new double[pb.getDimension()]);
  }
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      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    int previousCalls = Integer.MAX_VALUE;
    for (int i = -12; i < -4; ++i) {
      TestProblem1 pb     = new TestProblem1();
      double minStep      = 0;
      double maxStep      = pb.getFinalTime() - pb.getInitialTime();
      double absTolerance = FastMath.pow(10.0, i);
      double relTolerance = absTolerance;

      FirstOrderIntegrator integ =
        new GraggBulirschStoerIntegrator(minStep, maxStep,
                                         absTolerance, relTolerance);
      TestProblemHandler handler = new TestProblemHandler(pb, integ);
      integ.addStepHandler(handler);
      integ.integrate(pb,
                      pb.getInitialTime(), pb.getInitialState(),
                      pb.getFinalTime(), new double[pb.getDimension()]);

      // the coefficients are only valid for this test
      // and have been obtained from trial and error
      // there is no general relation between local and global errors
      double ratio =  handler.getMaximalValueError() / absTolerance;
      Assert.assertTrue(ratio < 2.4);
      Assert.assertTrue(ratio > 0.02);
      Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

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

    }
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  @Test(expected=DimensionMismatchException.class)
  public void testDimensionCheck()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {
      TestProblem1 pb = new TestProblem1();
      new EulerIntegrator(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 EulerIntegrator(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-4);
   Assert.assertTrue(handler.getMaximalValueError() < 1.0e-3);
   Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
   Assert.assertEquals("Euler", 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 EulerIntegrator(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() > 0.01);
    Assert.assertTrue(handler.getMaximalValueError() > 0.2);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

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    @Test(expected=DimensionMismatchException.class)
    public void dimensionCheck()
        throws DimensionMismatchException, NumberIsTooSmallException,
               MaxCountExceededException, NoBracketingException {
        TestProblem1 pb = new TestProblem1();
        FirstOrderIntegrator integ =
            new AdamsMoultonIntegrator(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 AdamsMoultonIntegrator(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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            throws DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException {

        int previousCalls = Integer.MAX_VALUE;
        for (int i = -12; i < -2; ++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 AdamsMoultonIntegrator(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 0.5 and 11.0 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() > ( 0.5 * scalAbsoluteTolerance));
            Assert.assertTrue(handler.getMaximalValueError() < (11.0 * 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();

        AdamsMoultonIntegrator integ = new AdamsMoultonIntegrator(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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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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