org.spaceroots.mantissa.ode

Class AbstractStepInterpolator

java.lang.Object

org.spaceroots.mantissa.ode.AbstractStepInterpolator

All Implemented Interfaces:

java.io.Externalizable, java.io.Serializable, java.lang.Cloneable, StepInterpolator

Direct Known Subclasses:

DummyStepInterpolator

public abstract class AbstractStepInterpolator
extends java.lang.Object
implements StepInterpolator, java.lang.Cloneable

This abstract class represents an interpolator over the last step during an ODE integration.

The various ODE integrators provide objects extending this class to the step handlers. The handlers can use these objects to retrieve the state vector at intermediate times between the previous and the current grid points (dense output).

See Also:

FirstOrderIntegrator, SecondOrderIntegrator, StepHandler, Serialized Form

Method Summary

Modifier and Type	Method and Description
java.lang.Object	clone() Copy the instance.
void	finalizeStep() Finalize the step.
double	getCurrentTime() Get the current grid point time.
double[]	getInterpolatedState() Get the state vector of the interpolated point.
double	getInterpolatedTime() Get the time of the interpolated point.
double	getPreviousTime() Get the previous grid point time.
boolean	isForward() Check if the natural integration direction is forward.
abstract void	readExternal(java.io.ObjectInput in)
void	setInterpolatedTime(double time) Set the time of the interpolated point.
void	shift() Shift one step forward.
void	storeTime(double t) Store the current step time.
abstract void	writeExternal(java.io.ObjectOutput out)

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

clone

public java.lang.Object clone()

Copy the instance.

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.

This method has been redeclared as public instead of protected.

Overrides:

clone in class java.lang.Object

Returns:

a copy of the instance.

shift

public void shift()

Shift one step forward. Copy the current time into the previous time, hence preparing the interpolator for future calls to storeTime

storeTime

public void storeTime(double t)

Store the current step time.

Parameters:

t - current time

getPreviousTime

public double getPreviousTime()

Get the previous grid point time.

Specified by:

getPreviousTime in interface StepInterpolator

Returns:

previous grid point time

getCurrentTime

public double getCurrentTime()

Get the current grid point time.

Specified by:

getCurrentTime in interface StepInterpolator

Returns:

current grid point time

getInterpolatedTime

public double getInterpolatedTime()

Get the time of the interpolated point. If setInterpolatedTime(double) has not been called, it returns the current grid point time.

Specified by:

getInterpolatedTime in interface StepInterpolator

Returns:

interpolation point time

setInterpolatedTime

public void setInterpolatedTime(double time)
                         throws DerivativeException

Set the time of the interpolated point.

Setting the time outside of the current step is now allowed (it was not allowed up to version 5.4 of Mantissa), but should be used with care since the accuracy of the interpolator will probably be very poor far from this step. This allowance has been added to simplify implementation of search algorithms near the step endpoints.

Specified by:

setInterpolatedTime in interface StepInterpolator

Parameters:

time - time of the interpolated point

Throws:

DerivativeException - if this call induces an automatic step finalization that throws one

isForward

public boolean isForward()

Check if the natural integration direction is forward.

This method provides the integration direction as specified by the integrator itself, it avoid some nasty problems in degenerated cases like null steps due to cancellation at step initialization, step control or switching function triggering.

Specified by:

isForward in interface StepInterpolator

Returns:

true if the integration variable (time) increases during integration

getInterpolatedState

public double[] getInterpolatedState()

Get the state vector of the interpolated point.

Specified by:

getInterpolatedState in interface StepInterpolator

Returns:

state vector at time getInterpolatedTime()

finalizeStep

public final void finalizeStep()
                        throws DerivativeException

Finalize the step.

Some Runge-Kutta-Fehlberg integrators need fewer functions evaluations than their counterpart step interpolators. These interpolators should perform the last evaluations they need by themselves only if they need them. This method triggers these extra evaluations. It can be called directly by the user step handler and it is called automatically if setInterpolatedTime(double) is called.

Once this method has been called, no other evaluation will be performed on this step. If there is a need to have some side effects between the step handler and the differential equations (for example update some data in the equations once the step has been done), it is advised to call this method explicitly from the step handler before these side effects are set up. If the step handler induces no side effect, then this method can safely be ignored, it will be called transparently as needed.

Warning: since the step interpolator provided to the step handler as a parameter of the handleStep is valid only for the duration of the handleStep call, one cannot simply store a reference and reuse it later. One should first finalize the instance, then copy this finalized instance into a new object that can be kept.

This method calls the protected doFinalize method if it has never been called during this step and set a flag indicating that it has been called once. It is the doFinalize method which should perform the evaluations. This wrapping prevents from calling doFinalize several times and hence evaluating the differential equations too often. Therefore, subclasses are not allowed not reimplement it, they should rather reimplement doFinalize.

Throws:

DerivativeException - this exception is propagated to the caller if the underlying user function triggers one

writeExternal

public abstract void writeExternal(java.io.ObjectOutput out)
                            throws java.io.IOException

Specified by:

writeExternal in interface java.io.Externalizable

Throws:

java.io.IOException

readExternal

public abstract void readExternal(java.io.ObjectInput in)
                           throws java.io.IOException

Specified by:

readExternal in interface java.io.Externalizable

Throws:

java.io.IOException