Package org.apache.commons.math3.ode

Examples of org.apache.commons.math3.ode.TestProblem3

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    for (SiteWithPolynomial site : sites) {
     
      List<SiteWithPolynomial> nearestSites =
          nearestSiteMap.get(site);
     
      RealVector vector = new ArrayRealVector(SITES_FOR_APPROX);
      RealMatrix matrix = new Array2DRowRealMatrix(
          SITES_FOR_APPROX, DefaultPolynomial.NUM_COEFFS);
     
      for (int row = 0; row < SITES_FOR_APPROX; row++) {
        SiteWithPolynomial nearSite = nearestSites.get(row);
        DefaultPolynomial.populateMatrix(matrix, row, nearSite.pos.x, nearSite.pos.z);
        vector.setEntry(row, nearSite.pos.y);
      }
     
      QRDecomposition qr = new QRDecomposition(matrix);
      RealVector solution = qr.getSolver().solve(vector);
       
      double[] coeffs = solution.toArray();
     
      for (double coeff : coeffs) {
        if (coeff > 10e3) {
          continue calculatePolynomials;
        }
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                return Double.compare(weightedResidual(o1),
                                      weightedResidual(o2));
            }

            private double weightedResidual(final PointVectorValuePair pv) {
                final RealVector v = new ArrayRealVector(pv.getValueRef(), false);
                final RealVector r = target.subtract(v);
                return r.dotProduct(weight.operate(r));
            }
        };
    }
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  @Test
  public void testKepler()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    final TestProblem3 pb  = new TestProblem3(0.9);
    double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.0003;

    FirstOrderIntegrator integ = new ClassicalRungeKuttaIntegrator(step);
    integ.addStepHandler(new KeplerHandler(pb));
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);
  }
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    }

    @Test
    public void testSingleStep() {

        final TestProblem3 pb  = new TestProblem3(0.9);
        double h = (pb.getFinalTime() - pb.getInitialTime()) * 0.0003;

        RungeKuttaIntegrator integ = new LutherIntegrator(Double.NaN);
        double   t = pb.getInitialTime();
        double[] y = pb.getInitialState();
        for (int i = 0; i < 100; ++i) {
            y = integ.singleStep(pb, t, y, t + h);
            t += h;
        }
        double[] yth = pb.computeTheoreticalState(t);
        double dx = y[0] - yth[0];
        double dy = y[1] - yth[1];
        double error = dx * dx + dy * dy;
        Assert.assertEquals(0.0, error, 1.0e-11);
    }
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    @Test
    public void derivativesConsistency()
            throws DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException {
        TestProblem3 pb = new TestProblem3();
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.001;
        LutherIntegrator integ = new LutherIntegrator(step);
        StepInterpolatorTestUtils.checkDerivativesConsistency(integ, pb, 1.0e-10);
    }
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    public void serialization()
            throws IOException, ClassNotFoundException,
            DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException  {

        TestProblem3 pb = new TestProblem3(0.9);
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.0003;
        LutherIntegrator integ = new LutherIntegrator(step);
        integ.addStepHandler(new ContinuousOutputModel());
        integ.integrate(pb,
                        pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);

        ByteArrayOutputStream bos = new ByteArrayOutputStream();
        ObjectOutputStream    oos = new ObjectOutputStream(bos);
        for (StepHandler handler : integ.getStepHandlers()) {
            oos.writeObject(handler);
        }

        Assert.assertTrue(bos.size() > 1200000);
        Assert.assertTrue(bos.size() < 1250000);

        ByteArrayInputStream  bis = new ByteArrayInputStream(bos.toByteArray());
        ObjectInputStream     ois = new ObjectInputStream(bis);
        ContinuousOutputModel cm  = (ContinuousOutputModel) ois.readObject();

        Random random = new Random(347588535632l);
        double maxError = 0.0;
        for (int i = 0; i < 1000; ++i) {
            double r = random.nextDouble();
            double time = r * pb.getInitialTime() + (1.0 - r) * pb.getFinalTime();
            cm.setInterpolatedTime(time);
            double[] interpolatedY = cm.getInterpolatedState ();
            double[] theoreticalY  = pb.computeTheoreticalState(time);
            double dx = interpolatedY[0] - theoreticalY[0];
            double dy = interpolatedY[1] - theoreticalY[1];
            double error = dx * dx + dy * dy;
            if (error > maxError) {
                maxError = error;
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    @Test
    public void testKepler()
            throws DimensionMismatchException, NumberIsTooSmallException,
            MaxCountExceededException, NoBracketingException {

        final TestProblem3 pb  = new TestProblem3(0.9);
        double step = (pb.getFinalTime() - pb.getInitialTime()) * 0.0003;

        FirstOrderIntegrator integ = new LutherIntegrator(step);
        integ.addStepHandler(new KeplerHandler(pb));
        integ.integrate(pb,
                        pb.getInitialTime(), pb.getInitialState(),
                        pb.getFinalTime(), new double[pb.getDimension()]);
    }
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  @Test
  public void testKepler()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    final TestProblem3 pb  = new TestProblem3(0.9);
    double minStep = 0;
    double maxStep = pb.getFinalTime() - pb.getInitialTime();
    double scalAbsoluteTolerance = 1.0e-8;
    double scalRelativeTolerance = scalAbsoluteTolerance;

    FirstOrderIntegrator integ = new DormandPrince853Integrator(minStep, maxStep,
                                                                scalAbsoluteTolerance,
                                                                scalRelativeTolerance);
    integ.addStepHandler(new KeplerHandler(pb));
    integ.integrate(pb,
                    pb.getInitialTime(), pb.getInitialState(),
                    pb.getFinalTime(), new double[pb.getDimension()]);

    Assert.assertEquals(integ.getEvaluations(), pb.getCalls());
    Assert.assertTrue(pb.getCalls() < 3300);

  }
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  @Test
  public void testVariableSteps()
      throws DimensionMismatchException, NumberIsTooSmallException,
             MaxCountExceededException, NoBracketingException {

    final TestProblem3 pb  = new TestProblem3(0.9);
    double minStep = 0;
    double maxStep = pb.getFinalTime() - pb.getInitialTime();
    double scalAbsoluteTolerance = 1.0e-8;
    double scalRelativeTolerance = scalAbsoluteTolerance;

    FirstOrderIntegrator integ = new DormandPrince853Integrator(minStep, maxStep,
                                                               scalAbsoluteTolerance,
                                                               scalRelativeTolerance);
    integ.addStepHandler(new VariableHandler());
    double stopTime = integ.integrate(pb,
                                      pb.getInitialTime(), pb.getInitialState(),
                                      pb.getFinalTime(), new double[pb.getDimension()]);
    Assert.assertEquals(pb.getFinalTime(), stopTime, 1.0e-10);
    Assert.assertEquals("Dormand-Prince 8 (5, 3)", integ.getName());
  }
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    @Test
    public void derivativesConsistency()
        throws NumberIsTooSmallException, DimensionMismatchException,
               MaxCountExceededException, NoBracketingException {
        TestProblem3 pb = new TestProblem3();
        AdamsBashforthIntegrator integ = new AdamsBashforthIntegrator(4, 0.0, 1.0, 1.0e-10, 1.0e-10);
        StepInterpolatorTestUtils.checkDerivativesConsistency(integ, pb, 5e-9);
    }
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Related Classes of org.apache.commons.math3.ode.TestProblem3

  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
  • org.apache.commons.math3.analysis.UnivariateFunction
  • org.apache.commons.math3.complex.Complex
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