Package org.apache.commons.math.ode

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

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    super(name);
  }

  public void testDimensionCheck() {
    try  {
      TestProblem1 pb = new TestProblem1();
      new MidpointIntegrator(0.01).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");
    } catch(IntegratorException ie) {
    }
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  }

  public void testSmallStep()
    throws DerivativeException, IntegratorException {

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

    FirstOrderIntegrator integ = new MidpointIntegrator(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-7);
    assertTrue(handler.getMaximalValueError() < 1.0e-6);
    assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    assertEquals("midpoint", integ.getName());
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  }

  public void testBigStep()
    throws DerivativeException, IntegratorException {

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

    FirstOrderIntegrator integ = new MidpointIntegrator(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() > 0.05);
    assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

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    assertEquals("Dormand-Prince 8 (5, 3)", integ.getName());
  }

  public void testNoDenseOutput()
    throws DerivativeException, IntegratorException {
    TestProblem1 pb1 = new TestProblem1();
    TestProblem1 pb2 = pb1.copy();
    double minStep = 0.1 * (pb1.getFinalTime() - pb1.getInitialTime());
    double maxStep = pb1.getFinalTime() - pb1.getInitialTime();
    double scalAbsoluteTolerance = 1.0e-4;
    double scalRelativeTolerance = 1.0e-4;

    FirstOrderIntegrator integ = new DormandPrince853Integrator(minStep, maxStep,
                                                                scalAbsoluteTolerance,
                                                                scalRelativeTolerance);
    integ.addStepHandler(DummyStepHandler.getInstance());
    integ.integrate(pb1,
                    pb1.getInitialTime(), pb1.getInitialState(),
                    pb1.getFinalTime(), new double[pb1.getDimension()]);
    int callsWithoutDenseOutput = pb1.getCalls();
    assertEquals(integ.getEvaluations(), callsWithoutDenseOutput);

    integ.addStepHandler(new InterpolatingStepHandler());
    integ.integrate(pb2,
                    pb2.getInitialTime(), pb2.getInitialState(),
                    pb2.getFinalTime(), new double[pb2.getDimension()]);
    int callsWithDenseOutput = pb2.getCalls();
    assertEquals(integ.getEvaluations(), callsWithDenseOutput);

    assertTrue(callsWithDenseOutput > callsWithoutDenseOutput);

  }
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    super(name);
  }

  public void testDimensionCheck() {
    try  {
      TestProblem1 pb = new TestProblem1();
      DormandPrince853Integrator integrator = new DormandPrince853Integrator(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");
    } catch(IntegratorException ie) {
    }
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    }
  }

  public void testNullIntervalCheck() {
    try  {
      TestProblem1 pb = new TestProblem1();
      DormandPrince853Integrator integrator = new DormandPrince853Integrator(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()]);
      fail("an exception should have been thrown");
    } catch(DerivativeException de) {
      fail("wrong exception caught");
    } catch(IntegratorException ie) {
    }
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  }

  public void testMinStep() {

    try {
      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 DormandPrince853Integrator(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");
    } catch(DerivativeException de) {
      fail("wrong exception caught");
    } catch(IntegratorException ie) {
    }
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  public void testIncreasingTolerance()
    throws DerivativeException, IntegratorException {

    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 = Math.pow(10.0, i);
      double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;

      FirstOrderIntegrator integ = new DormandPrince853Integrator(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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public class AdamsBashforthIntegratorTest {

    @Test(expected=IntegratorException.class)
    public void dimensionCheck() throws DerivativeException, IntegratorException {
        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=IntegratorException.class)
    public void testMinStep() throws DerivativeException, IntegratorException {

          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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Related Classes of org.apache.commons.math.ode.TestProblem1

  • org.apache.commons.math.ode.nonstiff.AdamsBashforthIntegratorTest
  • org.apache.commons.math.ode.nonstiff.AdamsMoultonIntegratorTest
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  • org.apache.commons.math.ode.nonstiff.DormandPrince853IntegratorTest
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  • org.apache.commons.math.ode.nonstiff.GraggBulirschStoerIntegratorTest
  • org.apache.commons.math.ode.nonstiff.HighamHall54IntegratorTest
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