Package org.apache.commons.math.ode

Examples of org.apache.commons.math.ode.DormandPrince54Integrator.integrate()

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  public void testDimensionCheck() {
    try  {
      TestProblem1 pb = new TestProblem1();
      DormandPrince54Integrator integrator = new DormandPrince54Integrator(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]);
      fail("an exception should have been thrown");
    } catch(DerivativeException de) {
      fail("wrong exception caught");
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      FirstOrderIntegrator integ = new DormandPrince54Integrator(minStep, maxStep,
                                                                 vecAbsoluteTolerance,
                                                                 vecRelativeTolerance);
      TestProblemHandler handler = new TestProblemHandler(pb, integ);
      integ.setStepHandler(handler);
      integ.integrate(pb,
                      pb.getInitialTime(), pb.getInitialState(),
                      pb.getFinalTime(), new double[pb.getDimension()]);
      fail("an exception should have been thrown");
    } catch(DerivativeException de) {
      fail("wrong exception caught");
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                                    scalRelativeTolerance);

    DP54SmallLastHandler handler = new DP54SmallLastHandler(minStep);
    integ.setStepHandler(handler);
    integ.setInitialStepSize(1.7);
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);
    assertTrue(handler.wasLastSeen());
    assertEquals("Dormand-Prince 5(4)", integ.getName());
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      TestProblemHandler handler = new TestProblemHandler(pb, integ);
      integ.setSafety(0.8);
      integ.setMaxGrowth(5.0);
      integ.setMinReduction(0.3);
      integ.setStepHandler(handler);
      integ.integrate(pb,
                      pb.getInitialTime(), pb.getInitialState(),
                      pb.getFinalTime(), new double[pb.getDimension()]);
      assertEquals(0.8, integ.getSafety(), 1.0e-12);
      assertEquals(5.0, integ.getMaxGrowth(), 1.0e-12);
      assertEquals(0.3, integ.getMinReduction(), 1.0e-12);
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    SwitchingFunction[] functions = pb.getSwitchingFunctions();
    for (int l = 0; l < functions.length; ++l) {
      integ.addSwitchingFunction(functions[l],
                                 Double.POSITIVE_INFINITY, 1.0e-8 * maxStep, 1000);
    }
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    assertTrue(handler.getMaximalValueError() < 5.0e-6);
    assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
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    FirstOrderIntegrator integ = new DormandPrince54Integrator(minStep, maxStep,
                                                               scalAbsoluteTolerance,
                                                               scalRelativeTolerance);
    integ.setStepHandler(new KeplerHandler(pb));
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    assertTrue(pb.getCalls() < 2800);
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    FirstOrderIntegrator integ = new DormandPrince54Integrator(minStep, maxStep,
                                                               scalAbsoluteTolerance,
                                                               scalRelativeTolerance);
    integ.setStepHandler(new VariableHandler());
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);
  }

  private static class KeplerHandler implements StepHandler {
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    double scalRelativeTolerance = scalAbsoluteTolerance;
    DormandPrince54Integrator integ = new DormandPrince54Integrator(minStep, maxStep,
                                                                    scalAbsoluteTolerance,
                                                                    scalRelativeTolerance);
    integ.setStepHandler(new ContinuousOutputModel());
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    ByteArrayOutputStream bos = new ByteArrayOutputStream();
    ObjectOutputStream    oos = new ObjectOutputStream(bos);
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              return true;
          }
          public void reset() {
          }
      });
      integ.integrate(pb,
              pb.getInitialTime(), pb.getInitialState(),
              pb.getFinalTime(), new double[pb.getDimension()]);

  }
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