org.apache.commons.math.ode.nonstiff

## Class RungeKuttaStepInterpolator

- java.lang.Object
- - org.apache.commons.math.ode.sampling.AbstractStepInterpolator
  - - org.apache.commons.math.ode.nonstiff.RungeKuttaStepInterpolator

All Implemented Interfaces:
  Externalizable, Serializable, StepInterpolator

Direct Known Subclasses:
  ClassicalRungeKuttaStepInterpolator, DormandPrince54StepInterpolator, DormandPrince853StepInterpolator, EulerStepInterpolator, GillStepInterpolator, HighamHall54StepInterpolator, MidpointStepInterpolator, ThreeEighthesStepInterpolator

    abstract class RungeKuttaStepInterpolator
    extends AbstractStepInterpolator

This class represents an interpolator over the last step during an ODE integration for Runge-Kutta and embedded Runge-Kutta integrators.

Since:
  1.2
Version:
  $Revision: 811827 $ $Date: 2009-09-06 17:32:50 +0200 (dim. 06 sept. 2009) $
See Also:
  `RungeKuttaIntegrator`, `EmbeddedRungeKuttaIntegrator`

### Field Summary

Fields
`protected AbstractIntegrator` `integrator` Reference to the integrator.
`protected double[][]` `yDotK` Slopes at the intermediate points

### Fields inherited from class org.apache.commons.math.ode.sampling.AbstractStepInterpolator

`currentState, h, interpolatedDerivatives, interpolatedState, interpolatedTime`

### Constructor Summary

Constructors
`protected` `RungeKuttaStepInterpolator()` Simple constructor.
`` `RungeKuttaStepInterpolator(RungeKuttaStepInterpolator interpolator)` Copy constructor.

### Method Summary

Methods
`void` `readExternal(ObjectInput in)`
`void` `reinitialize(AbstractIntegrator rkIntegrator, double[] y, double[][] yDotArray, boolean forward)` Reinitialize the instance
`void` `writeExternal(ObjectOutput out)`

### Methods inherited from class org.apache.commons.math.ode.sampling.AbstractStepInterpolator

`computeInterpolatedStateAndDerivatives, copy, doCopy, doFinalize, finalizeStep, getCurrentTime, getGlobalCurrentTime, getGlobalPreviousTime, getInterpolatedDerivatives, getInterpolatedState, getInterpolatedTime, getPreviousTime, isForward, readBaseExternal, reinitialize, 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

#### yDotK

    protected double[][] yDotK

Slopes at the intermediate points

#### integrator

    protected AbstractIntegrator integrator

Reference to the integrator.

### Constructor Detail

#### RungeKuttaStepInterpolator

    protected RungeKuttaStepInterpolator()

Simple constructor. This constructor builds an instance that is not usable yet, the `reinitialize(org.apache.commons.math.ode.AbstractIntegrator, double[], double[][], boolean)` 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. The `RungeKuttaIntegrator` and `EmbeddedRungeKuttaIntegrator` classes use the prototyping design pattern to create the step interpolators by cloning an uninitialized model and latter initializing the copy.

#### RungeKuttaStepInterpolator

    public RungeKuttaStepInterpolator(RungeKuttaStepInterpolator interpolator)

Copy constructor.

The copied interpolator should have been finalized before the copy, otherwise the copy will not be able to perform correctly any interpolation and will throw a `NullPointerException` later. Since we don't want this constructor to throw the exceptions finalization may involve and since we don't want this method to modify the state of the copied interpolator, finalization is not done automatically, it remains under user control.

The copy is a deep copy: its arrays are separated from the original arrays of the instance.

Parameters:
  `interpolator` - interpolator to copy from.

### Method Detail

#### reinitialize

    public void reinitialize(AbstractIntegrator rkIntegrator,
                    double[] y,
                    double[][] yDotArray,
                    boolean forward)

Reinitialize the instance

Some Runge-Kutta integrators need fewer functions evaluations than their counterpart step interpolators. So the interpolator should perform the last evaluations they need by themselves. The `RungeKuttaIntegrator` and `EmbeddedRungeKuttaIntegrator` abstract classes call this method in order to let the step interpolator perform the evaluations it needs. These evaluations will be performed during the call to `doFinalize` if any, i.e. only if the step handler either calls the `finalizeStep` method or the `getInterpolatedState` method (for an interpolator which needs a finalization) or if it clones the step interpolator.

Parameters:
  `rkIntegrator` - integrator being used
  `y` - reference to the integrator array holding the state at the end of the step
  `yDotArray` - reference to the integrator array holding all the intermediate slopes
  `forward` - integration direction indicator

#### writeExternal

    public void writeExternal(ObjectOutput out)
                       throws IOException

Specified by:
  `writeExternal` in interface `Externalizable`
Specified by:
  `writeExternal` in class `AbstractStepInterpolator`
Throws:
  `IOException`

#### readExternal

    public void readExternal(ObjectInput in)
                      throws IOException

Specified by:
  `readExternal` in interface `Externalizable`
Specified by:
  `readExternal` in class `AbstractStepInterpolator`
Throws:
  `IOException`