Class NordsieckStepInterpolator

  extended by org.apache.commons.math3.ode.sampling.AbstractStepInterpolator
      extended by org.apache.commons.math3.ode.sampling.NordsieckStepInterpolator
All Implemented Interfaces:
Externalizable, Serializable, StepInterpolator

public class NordsieckStepInterpolator
extends AbstractStepInterpolator

This class implements an interpolator for integrators using Nordsieck representation.

This interpolator computes dense output around the current point. The interpolation equation is based on Taylor series formulas.

$Id: 1416643 2012-12-03 19:37:14Z tn $
See Also:
AdamsBashforthIntegrator, AdamsMoultonIntegrator, Serialized Form

Field Summary
protected  double[] stateVariation
          State variation.
Fields inherited from class org.apache.commons.math3.ode.sampling.AbstractStepInterpolator
currentState, h, interpolatedDerivatives, interpolatedPrimaryDerivatives, interpolatedPrimaryState, interpolatedSecondaryDerivatives, interpolatedSecondaryState, interpolatedState, interpolatedTime
Constructor Summary
          Simple constructor.
NordsieckStepInterpolator(NordsieckStepInterpolator interpolator)
          Copy constructor.
Method Summary
protected  void computeInterpolatedStateAndDerivatives(double theta, double oneMinusThetaH)
          Compute the state and derivatives at the interpolated time.
protected  StepInterpolator doCopy()
          Really copy the finalized instance.
 double[] getInterpolatedStateVariation()
          Get the state vector variation from current to interpolated state.
 void readExternal(ObjectInput in)
 void reinitialize(double[] y, boolean forward, EquationsMapper primaryMapper, EquationsMapper[] secondaryMappers)
          Reinitialize the instance.
 void reinitialize(double time, double stepSize, double[] scaledDerivative, Array2DRowRealMatrix nordsieckVector)
          Reinitialize the instance.
 void rescale(double stepSize)
          Rescale the instance.
 void writeExternal(ObjectOutput out)
Methods inherited from class org.apache.commons.math3.ode.sampling.AbstractStepInterpolator
copy, doFinalize, finalizeStep, getCurrentTime, getGlobalCurrentTime, getGlobalPreviousTime, getInterpolatedDerivatives, getInterpolatedSecondaryDerivatives, getInterpolatedSecondaryState, getInterpolatedState, getInterpolatedTime, getPreviousTime, isForward, readBaseExternal, setInterpolatedTime, setSoftCurrentTime, setSoftPreviousTime, shift, storeTime, writeBaseExternal
Methods inherited from class java.lang.Object
clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail


protected double[] stateVariation
State variation.

Constructor Detail


public NordsieckStepInterpolator()
Simple constructor. This constructor builds an instance that is not usable yet, the AbstractStepInterpolator.reinitialize(double[], boolean, org.apache.commons.math3.ode.EquationsMapper, org.apache.commons.math3.ode.EquationsMapper[]) method should be called before using the instance in order to initialize the internal arrays. This constructor is used only in order to delay the initialization in some cases.


public NordsieckStepInterpolator(NordsieckStepInterpolator interpolator)
Copy constructor.

interpolator - interpolator to copy from. The copy is a deep copy: its arrays are separated from the original arrays of the instance
Method Detail


protected StepInterpolator doCopy()
Really copy the finalized instance.

This method is called by AbstractStepInterpolator.copy() after the step has been finalized. It must perform a deep copy to have an new instance completely independent for the original instance.

Specified by:
doCopy in class AbstractStepInterpolator
a copy of the finalized instance


public void reinitialize(double[] y,
                         boolean forward,
                         EquationsMapper primaryMapper,
                         EquationsMapper[] secondaryMappers)
Reinitialize the instance.

Beware that all arrays must be references to integrator arrays, in order to ensure proper update without copy.

reinitialize in class AbstractStepInterpolator
y - reference to the integrator array holding the state at the end of the step
forward - integration direction indicator
primaryMapper - equations mapper for the primary equations set
secondaryMappers - equations mappers for the secondary equations sets


public void reinitialize(double time,
                         double stepSize,
                         double[] scaledDerivative,
                         Array2DRowRealMatrix nordsieckVector)
Reinitialize the instance.

Beware that all arrays must be references to integrator arrays, in order to ensure proper update without copy.

time - time at which all arrays are defined
stepSize - step size used in the scaled and nordsieck arrays
scaledDerivative - reference to the integrator array holding the first scaled derivative
nordsieckVector - reference to the integrator matrix holding the nordsieck vector


public void rescale(double stepSize)
Rescale the instance.

Since the scaled and Nordiseck arrays are shared with the caller, this method has the side effect of rescaling this arrays in the caller too.

stepSize - new step size to use in the scaled and nordsieck arrays


public double[] getInterpolatedStateVariation()
                                       throws MaxCountExceededException
Get the state vector variation from current to interpolated state.

This method is aimed at computing y(tinterpolation) -y(tcurrent) accurately by avoiding the cancellation errors that would occur if the subtraction were performed explicitly.

The returned vector is a reference to a reused array, so it should not be modified and it should be copied if it needs to be preserved across several calls.

state vector at time AbstractStepInterpolator.getInterpolatedTime()
MaxCountExceededException - if the number of functions evaluations is exceeded
See Also:


protected void computeInterpolatedStateAndDerivatives(double theta,
                                                      double oneMinusThetaH)
Compute the state and derivatives at the interpolated time. This is the main processing method that should be implemented by the derived classes to perform the interpolation.

Specified by:
computeInterpolatedStateAndDerivatives in class AbstractStepInterpolator
theta - normalized interpolation abscissa within the step (theta is zero at the previous time step and one at the current time step)
oneMinusThetaH - time gap between the interpolated time and the current time


public void writeExternal(ObjectOutput out)
                   throws IOException

Specified by:
writeExternal in interface Externalizable
Specified by:
writeExternal in class AbstractStepInterpolator


public void readExternal(ObjectInput in)
                  throws IOException,

Specified by:
readExternal in interface Externalizable
Specified by:
readExternal in class AbstractStepInterpolator

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