Examples of org.apache.commons.math3.analysis.integration.UnivariateIntegrator.integrate()

Package org.apache.commons.math3.analysis.integration

Class org.apache.commons.math3.analysis.integration.UnivariateIntegrator

Examples of org.apache.commons.math3.analysis.integration.UnivariateIntegrator.integrate()

org.apache.commons.math3.analysis.integration.UnivariateIntegrator.integrate()
Integrate the function in the given interval. @param maxEval Maximum number of evaluations. @param f the integrand function @param min the min bound for the interval @param max the upper bound for the interval @return the value of integral @throws TooManyEvaluationsException if the maximum number of functionevaluations is exceeded. @throws MaxCountExceededException if the maximum iteration count is exceededor the integrator detects convergence problems otherwise @throws MathIllegalArgumentException if min > max or the endpoints do notsatisfy the requirements specified by the integrator @throws NullArgumentException if {@code f} is {@code null}.

    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()]);
  }


  private static class KeplerHandler implements StepHandler {

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              }
          }
          public void init(double t0, double[] y0, double t) {
          }
      });
      integ.integrate(new FirstOrderDifferentialEquations() {
          public void computeDerivatives(double t, double[] y, double[] dot) {
              dot[0] = 1.0;
          }
          public int getDimension() {
              return 1;

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      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()]);
      Assert.fail("an exception should have been thrown");


  }

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           MaxCountExceededException, NoBracketingException {


        TestProblem1 pb = new TestProblem1();
        AdamsBashforthIntegrator integ = new AdamsBashforthIntegrator(4, 0.0, 1.0, 1.0e-10, 1.0e-10);
        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);

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      // integrate backward from &pi; to 0;
      ContinuousOutputModel cm1 = new ContinuousOutputModel();
      FirstOrderIntegrator integ1 =
          new DormandPrince853Integrator(0, 1.0, 1.0e-8, 1.0e-8);
      integ1.addStepHandler(cm1);
      integ1.integrate(problem, FastMath.PI, new double[] { -1.0, 0.0 },
                       0, new double[2]);


      // integrate backward from 2&pi; to &pi;
      ContinuousOutputModel cm2 = new ContinuousOutputModel();
      FirstOrderIntegrator integ2 =

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      // integrate backward from 2&pi; to &pi;
      ContinuousOutputModel cm2 = new ContinuousOutputModel();
      FirstOrderIntegrator integ2 =
          new DormandPrince853Integrator(0, 0.1, 1.0e-12, 1.0e-12);
      integ2.addStepHandler(cm2);
      integ2.integrate(problem, 2.0 * FastMath.PI, new double[] { 1.0, 0.0 },
                       FastMath.PI, new double[2]);


      // merge the two half circles
      ContinuousOutputModel cm = new ContinuousOutputModel();
      cm.append(cm2);

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        integrator.addEventHandler(new ResettingEvent(11.01), 0.1, 1.0e-9, 1000);
        integrator.setInitialStepSize(3.0);


        double target = 30.0;
        double[] y = new double[1];
        double tEnd = integrator.integrate(equation, 0.0, y, target, y);
        Assert.assertEquals(target, tEnd, 1.0e-10);
        Assert.assertEquals(32.0, y[0], 1.0e-10);


    }

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        DormandPrince853Integrator integrator = new DormandPrince853Integrator(0.001, 1000, 1.0e-14, 1.0e-14);
        integrator.addEventHandler(new SecondaryStateEvent(index, -3.0), 0.1, 1.0e-9, 1000);
        integrator.setInitialStepSize(3.0);


        integrator.integrate(equation, 30.0);
        Assert.assertEquals( 1.0, equation.getTime(), 1.0e-10);
        Assert.assertEquals( 2.0, equation.getPrimaryState()[0], 1.0e-10);
        Assert.assertEquals(-3.0, equation.getSecondaryState(0)[0], 1.0e-10);


    }

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        integ.addStepHandler(new StepNormalizer(0.5, this, mode, bounds));
        double[] y   = {0.0};
        double start = reverse ? getEnd()   : getStart();
        double end   = reverse ? getStart() : getEnd();
        output       = new ArrayList<Double>();
        integ.integrate(this, start, y, end, y);
        double[] actual = new double[output.size()];
        for(int i = 0; i < actual.length; i++) {
            actual[i] = output.get(i);
        }
        Assert.assertArrayEquals(expected, actual, 1e-5);

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        integ.addStepHandler(new StepNormalizer(0.5, this, mode, bounds));
        double[] y   = {0.0};
        double start = reverse ? getEnd()   : getStart();
        double end   = reverse ? getStart() : getEnd();
        output       = new ArrayList<Double>();
        integ.integrate(this, start, y, end, y);
        double[] actual = new double[output.size()];
        for(int i = 0; i < actual.length; i++) {
            actual[i] = output.get(i);
        }
        assertArrayEquals(expected, actual, 1e-5);

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