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

Class org.apache.commons.math.ode.FirstOrderIntegrator

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

org.apache.commons.math.ode.FirstOrderIntegrator.integrate()
Integrate the differential equations up to the given time.
This method solves an Initial Value Problem (IVP).

Since this method stores some internal state variables made available in its public interface during integration ( {@link #getCurrentSignedStepsize()}), it is not thread-safe.
@param equations differential equations to integrate @param t0 initial time @param y0 initial value of the state vector at t0 @param t target time for the integration(can be set to a value smaller than t0 for backward integration) @param y placeholder where to put the state vector at each successfulstep (and hence at the end of integration), can be the same object as y0 @throws IntegratorException if the integrator cannot perform integration @throws DerivativeException this exception is propagated to the caller ifthe underlying user function triggers one

      }


      try {
        FirstOrderIntegrator integ =
            new HighamHall54Integrator(minStep, maxStep, new double[4], new double[4]);
        integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[6]);
        fail("an exception should have been thrown");
      } catch (IntegratorException ie) {
        // expected behavior
      }

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      }


      try {
        FirstOrderIntegrator integ =
            new HighamHall54Integrator(minStep, maxStep, new double[2], new double[4]);
        integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);
        fail("an exception should have been thrown");
      } catch (IntegratorException ie) {
        // expected behavior
      }

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      }


      try {
        FirstOrderIntegrator integ =
            new HighamHall54Integrator(minStep, maxStep, new double[4], new double[2]);
        integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);
        fail("an exception should have been thrown");
      } catch (IntegratorException ie) {
        // expected behavior
      }

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      }


      try {
        FirstOrderIntegrator integ =
            new HighamHall54Integrator(minStep, maxStep, new double[4], new double[4]);
        integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                        pb.getInitialTime(), new double[pb.getDimension()]);
        fail("an exception should have been thrown");
      } catch (IntegratorException ie) {
        // expected behavior
      }

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    FirstOrderIntegrator integ = new HighamHall54Integrator(minStep, maxStep,
                                                            vecAbsoluteTolerance,
                                                            vecRelativeTolerance);
    integ.addStepHandler(new KeplerHandler(pb));
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);
    assertEquals("Higham-Hall 5(4)", integ.getName());
  }

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        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);
        }

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    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);

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    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);

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      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);

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            return false;
        }
        public void reset() {
        }
      });
      integ.integrate(new FirstOrderDifferentialEquations() {
                          private static final long serialVersionUID = 0L;
                          public void computeDerivatives(double t, double[] y, double[] dot) {
                              dot[0] = 1.0;
                          }
                          public int getDimension() {

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