Package org.apache.commons.math.ode

Examples of org.apache.commons.math.ode.TestProblemHandler

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        TestProblemAbstract pb  = problems[k].copy();
        double step = (pb.getFinalTime() - pb.getInitialTime())
          * Math.pow(2.0, -i);

        FirstOrderIntegrator integ = new EulerIntegrator(step);
        TestProblemHandler handler = new TestProblemHandler(pb, integ);
        integ.addStepHandler(handler);
        EventHandler[] functions = pb.getEventsHandlers();
        for (int l = 0; l < functions.length; ++l) {
          integ.addEventHandler(functions[l],
                                     Double.POSITIVE_INFINITY, 1.0e-6 * step, 1000);
        }
        double stopTime = integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                                          pb.getFinalTime(), new double[pb.getDimension()]);
        if (functions.length == 0) {
            assertEquals(pb.getFinalTime(), stopTime, 1.0e-10);
        }

        double error = handler.getMaximalValueError();
        if (i > 4) {
          assertTrue(error < Math.abs(previousError));
        }
        previousError = error;
        assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

      }

    }

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    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()]);

   assertTrue(handler.getLastError() < 2.0e-4);
   assertTrue(handler.getMaximalValueError() < 1.0e-3);
   assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
   assertEquals("Euler", integ.getName());

  }
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    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()]);

    assertTrue(handler.getLastError() > 0.01);
    assertTrue(handler.getMaximalValueError() > 0.2);
    assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

  }
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      TestProblem5 pb = new TestProblem5();
      double step = Math.abs(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()]);

      assertTrue(handler.getLastError() < 0.45);
      assertTrue(handler.getMaximalValueError() < 0.45);
      assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
      assertEquals("Euler", integ.getName());
  }
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      double[] vecRelativeTolerance = { 1.0e-15, 1.0e-16 };

      FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);
      fail("an exception should have been thrown");
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      double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

      FirstOrderIntegrator integ = new HighamHall54Integrator(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 1.3 factor is only valid for this test
      // and has been obtained from trial and error
      // there is no general relation between local and global errors
      assertTrue(handler.getMaximalValueError() < (1.3 * scalAbsoluteTolerance));
      assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

      int calls = pb.getCalls();
      assertEquals(integ.getEvaluations(), calls);
      assertTrue(calls <= previousCalls);
      previousCalls = calls;
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      double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

      FirstOrderIntegrator integ = new HighamHall54Integrator(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()]);

      assertTrue(handler.getLastError() < 5.0e-7);
      assertTrue(handler.getMaximalValueError() < 5.0e-7);
      assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
      assertEquals("Higham-Hall 5(4)", integ.getName());
  }
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    double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

    FirstOrderIntegrator integ = new HighamHall54Integrator(minStep, maxStep,
                                                            scalAbsoluteTolerance,
                                                            scalRelativeTolerance);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);
    EventHandler[] functions = pb.getEventsHandlers();
    double convergence = 1.0e-8 * maxStep;
    for (int l = 0; l < functions.length; ++l) {
      integ.addEventHandler(functions[l],
                                 Double.POSITIVE_INFINITY, convergence, 1000);
    }
    assertEquals(functions.length, integ.getEventHandlers().size());
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    assertTrue(handler.getMaximalValueError() < 1.0e-7);
    assertEquals(0, handler.getMaximalTimeError(), convergence);
    assertEquals(12.0, handler.getLastTime(), convergence);
    integ.clearEventHandlers();
    assertEquals(0, integ.getEventHandlers().size());

  }
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      double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

      FirstOrderIntegrator integ =
          new HighamHall54Integrator(minStep, maxStep,
                                     scalAbsoluteTolerance, scalRelativeTolerance);
      TestProblemHandler handler = new TestProblemHandler(pb, integ);
      integ.addStepHandler(handler);

      integ.addEventHandler(new EventHandler() {
        public int eventOccurred(double t, double[] y, boolean increasing) {
          return EventHandler.CONTINUE;
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    double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

    FirstOrderIntegrator integ =
        new HighamHall54Integrator(minStep, maxStep,
                                   scalAbsoluteTolerance, scalRelativeTolerance);
    TestProblemHandler handler = new TestProblemHandler(pb, integ);
    integ.addStepHandler(handler);

    integ.addEventHandler(new EventHandler() {
      public int eventOccurred(double t, double[] y, boolean increasing) {
        return EventHandler.CONTINUE;
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Related Classes of org.apache.commons.math.ode.TestProblemHandler

  • org.apache.commons.math.ode.nonstiff.AdamsBashforthIntegratorTest
  • org.apache.commons.math.ode.nonstiff.AdamsMoultonIntegratorTest
  • org.apache.commons.math.ode.nonstiff.ClassicalRungeKuttaIntegratorTest
  • org.apache.commons.math.ode.nonstiff.DormandPrince54IntegratorTest
  • org.apache.commons.math.ode.nonstiff.DormandPrince853IntegratorTest
  • org.apache.commons.math.ode.nonstiff.EulerIntegratorTest
  • org.apache.commons.math.ode.nonstiff.GillIntegratorTest
  • org.apache.commons.math.ode.nonstiff.GraggBulirschStoerIntegratorTest
  • org.apache.commons.math.ode.nonstiff.HighamHall54IntegratorTest
  • org.apache.commons.math.ode.nonstiff.MidpointIntegratorTest
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