Package org.apache.commons.math3.ode

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


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

    FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(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-13);
    Assert.assertTrue(handler.getMaximalValueError() < 4.0e-12);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    Assert.assertEquals("classical Runge-Kutta", integ.getName());
  }
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    TestProblem1 pb = new TestProblem1();
    double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.2;

    FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(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() > 0.0004);
    Assert.assertTrue(handler.getMaximalValueError() > 0.005);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

  }
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    TestProblem5 pb = new TestProblem5();
    double step = FastMath.abs(pb.getFinalTime() - pb.getInitialTime()) * 0.001;

    FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(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() < 5.0e-10);
    Assert.assertTrue(handler.getMaximalValueError() < 7.0e-10);
    Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
    Assert.assertEquals("classical Runge-Kutta", integ.getName());
  }
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        TestProblemAbstract pb = problems[k].copy();
        double step = (pb.getFinalTime() - pb.getInitialTime()) * FastMath.pow(2.0, -i);

        FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(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);
        }
        Assert.assertEquals(functions.length, integ.getEventHandlers().size());
        double stopTime = integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                                          pb.getFinalTime(), new double[pb.getDimension()]);
        if (functions.length == 0) {
            Assert.assertEquals(pb.getFinalTime(), stopTime, 1.0e-10);
        }

        double error = handler.getMaximalValueError();
        if (i > 4) {
          Assert.assertTrue(error < 1.01 * FastMath.abs(previousValueError));
        }
        previousValueError = error;

        double timeError = handler.getMaximalTimeError();
        if (i > 4) {
          Assert.assertTrue(timeError <= FastMath.abs(previousTimeError));
        }
        previousTimeError = timeError;

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

                FirstOrderIntegrator integ = new LutherIntegrator(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);
                }
                Assert.assertEquals(functions.length, integ.getEventHandlers().size());
                double stopTime = integ.integrate(pb, pb.getInitialTime(), pb.getInitialState(),
                                                  pb.getFinalTime(), new double[pb.getDimension()]);
                if (functions.length == 0) {
                    Assert.assertEquals(pb.getFinalTime(), stopTime, 1.0e-10);
                }

                double error = handler.getMaximalValueError();
                if (i > 4) {
                    Assert.assertTrue(error < 1.01 * FastMath.abs(previousValueError));
                }
                previousValueError = error;

                double timeError = handler.getMaximalTimeError();
                if (i > 4) {
                    Assert.assertTrue(timeError <= FastMath.abs(previousTimeError));
                }
                previousTimeError = timeError;

View Full Code Here

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

        FirstOrderIntegrator integ = new LutherIntegrator(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() < 9.0e-17);
        Assert.assertTrue(handler.getMaximalValueError() < 4.0e-15);
        Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
        Assert.assertEquals("Luther", integ.getName());
    }
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        TestProblem1 pb = new TestProblem1();
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.2;

        FirstOrderIntegrator integ = new LutherIntegrator(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() > 0.00002);
        Assert.assertTrue(handler.getMaximalValueError() > 0.001);
        Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

    }
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        TestProblem5 pb = new TestProblem5();
        double step = FastMath.abs(pb.getFinalTime() - pb.getInitialTime()) * 0.001;

        FirstOrderIntegrator integ = new LutherIntegrator(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() < 3.0e-13);
        Assert.assertTrue(handler.getMaximalValueError() < 5.0e-13);
        Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);
        Assert.assertEquals("Luther", integ.getName());
    }
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      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()]);
      Assert.fail("an exception should have been thrown");
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      double maxStep = pb.getFinalTime() - pb.getInitialTime();
      double scalAbsoluteTolerance = FastMath.pow(10.0, i);
      double scalRelativeTolerance = 0.01 * scalAbsoluteTolerance;
      integ.setStepSizeControl(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
      Assert.assertTrue(handler.getMaximalValueError() < (1.3 * scalAbsoluteTolerance));
      Assert.assertEquals(0, handler.getMaximalTimeError(), 1.0e-12);

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

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