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

org.apache.commons.math.ode.FirstOrderDifferentialEquations
This interface represents a first order differential equations set.
This interface should be implemented by all real first order differential equation problems before they can be handled by the integrators {@link FirstOrderIntegrator#integrate} method.
A first order differential equations problem, as seen by an integrator is the time derivative dY/dt of a state vector Y, both being one dimensional arrays. From the integrator point of view, this derivative depends only on the current time t and on the state vector Y.

For real problems, the derivative depends also on parameters that do not belong to the state vector (dynamical model constants for example). These constants are completely outside of the scope of this interface, the classes that implement it are allowed to handle them as they want.
@see FirstOrderIntegrator @see FirstOrderConverter @see SecondOrderDifferentialEquations @version $Revision: 620312 $ $Date: 2008-02-10 12:28:59 -0700 (Sun, 10 Feb 2008) $ @since 1.2


  public void testMissedEndEvent() throws IntegratorException, DerivativeException {
      final double   t0     = 1878250320.0000029;
      final double   tEvent = 1878250379.9999986;
      final double[] k  = { 1.0e-4, 1.0e-5, 1.0e-6 };
      FirstOrderDifferentialEquations ode = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return k.length;
          }

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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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              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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  public void testMissedEndEvent() throws IntegratorException, DerivativeException {
      final double   t0     = 1878250320.0000029;
      final double   tEvent = 1878250379.9999986;
      final double[] k      = { 1.0e-4, 1.0e-5, 1.0e-6 };
      FirstOrderDifferentialEquations ode = new FirstOrderDifferentialEquations() {


          public int getDimension() {
              return k.length;
          }

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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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              return false;
          }
          public void reset() {
          }
      });
      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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  public void testWrongDerivative() {
    try {
      HighamHall54Integrator integrator =
          new HighamHall54Integrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      FirstOrderDifferentialEquations equations =
          new FirstOrderDifferentialEquations() {
            private static final long serialVersionUID = -1157081786301178032L;
            public void computeDerivatives(double t, double[] y, double[] dot)
            throws DerivativeException {
            if (t < -0.5) {
                throw new DerivativeException("{0}", "oops");

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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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  }


  public void testWrongDerivative() throws Exception {
      HighamHall54Integrator integrator =
          new HighamHall54Integrator(0.0, 1.0, 1.0e-10, 1.0e-10);
      FirstOrderDifferentialEquations equations =
          new FirstOrderDifferentialEquations() {
            private static final long serialVersionUID = -1157081786301178032L;
            public void computeDerivatives(double t, double[] y, double[] dot)
            throws DerivativeException {
            if (t < -0.5) {
                throw new DerivativeException(LocalizedFormats.SIMPLE_MESSAGE, "oops");

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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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