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/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math3.ode.sampling;
import java.io.IOException;
import java.io.ObjectInput;
import java.io.ObjectOutput;
import org.apache.commons.math3.exception.MaxCountExceededException;
import org.apache.commons.math3.ode.EquationsMapper;
/** 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 org.apache.commons.math3.ode.FirstOrderIntegrator
* @see org.apache.commons.math3.ode.SecondOrderIntegrator
* @see StepHandler
*
* @since 1.2
*
*/
public abstract class AbstractStepInterpolator
implements StepInterpolator {
/** current time step */
protected double h;
/** current state */
protected double[] currentState;
/** interpolated time */
protected double interpolatedTime;
/** interpolated state */
protected double[] interpolatedState;
/** interpolated derivatives */
protected double[] interpolatedDerivatives;
/** interpolated primary state */
protected double[] interpolatedPrimaryState;
/** interpolated primary derivatives */
protected double[] interpolatedPrimaryDerivatives;
/** interpolated secondary state */
protected double[][] interpolatedSecondaryState;
/** interpolated secondary derivatives */
protected double[][] interpolatedSecondaryDerivatives;
/** global previous time */
private double globalPreviousTime;
/** global current time */
private double globalCurrentTime;
/** soft previous time */
private double softPreviousTime;
/** soft current time */
private double softCurrentTime;
/** indicate if the step has been finalized or not. */
private boolean finalized;
/** integration direction. */
private boolean forward;
/** indicator for dirty state. */
private boolean dirtyState;
/** Equations mapper for the primary equations set. */
private EquationsMapper primaryMapper;
/** Equations mappers for the secondary equations sets. */
private EquationsMapper[] secondaryMappers;
/** Simple constructor.
* This constructor builds an instance that is not usable yet, the
* {@link #reinitialize} 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. As an example, the {@link
* org.apache.commons.math3.ode.nonstiff.EmbeddedRungeKuttaIntegrator}
* class uses the prototyping design pattern to create the step
* interpolators by cloning an uninitialized model and latter
* initializing the copy.
*/
protected AbstractStepInterpolator() {
globalPreviousTime = Double.NaN;
globalCurrentTime = Double.NaN;
softPreviousTime = Double.NaN;
softCurrentTime = Double.NaN;
h = Double.NaN;
interpolatedTime = Double.NaN;
currentState = null;
finalized = false;
this.forward = true;
this.dirtyState = true;
primaryMapper = null;
secondaryMappers = null;
allocateInterpolatedArrays(-1);
}
/** Simple constructor.
* @param y reference to the integrator array holding the state at
* the end of the step
* @param forward integration direction indicator
* @param primaryMapper equations mapper for the primary equations set
* @param secondaryMappers equations mappers for the secondary equations sets
*/
protected AbstractStepInterpolator(final double[] y, final boolean forward,
final EquationsMapper primaryMapper,
final EquationsMapper[] secondaryMappers) {
globalPreviousTime = Double.NaN;
globalCurrentTime = Double.NaN;
softPreviousTime = Double.NaN;
softCurrentTime = Double.NaN;
h = Double.NaN;
interpolatedTime = Double.NaN;
currentState = y;
finalized = false;
this.forward = forward;
this.dirtyState = true;
this.primaryMapper = primaryMapper;
this.secondaryMappers = (secondaryMappers == null) ? null : secondaryMappers.clone();
allocateInterpolatedArrays(y.length);
}
/** Copy constructor.
* The copied interpolator should have been finalized before the
* copy, otherwise the copy will not be able to perform correctly
* any derivative computation and will throw a {@link
* 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.
* @param interpolator interpolator to copy from.
*/
protected AbstractStepInterpolator(final AbstractStepInterpolator interpolator) {
globalPreviousTime = interpolator.globalPreviousTime;
globalCurrentTime = interpolator.globalCurrentTime;
softPreviousTime = interpolator.softPreviousTime;
softCurrentTime = interpolator.softCurrentTime;
h = interpolator.h;
interpolatedTime = interpolator.interpolatedTime;
if (interpolator.currentState == null) {
currentState = null;
primaryMapper = null;
secondaryMappers = null;
allocateInterpolatedArrays(-1);
} else {
currentState = interpolator.currentState.clone();
interpolatedState = interpolator.interpolatedState.clone();
interpolatedDerivatives = interpolator.interpolatedDerivatives.clone();
interpolatedPrimaryState = interpolator.interpolatedPrimaryState.clone();
interpolatedPrimaryDerivatives = interpolator.interpolatedPrimaryDerivatives.clone();
interpolatedSecondaryState = new double[interpolator.interpolatedSecondaryState.length][];
interpolatedSecondaryDerivatives = new double[interpolator.interpolatedSecondaryDerivatives.length][];
for (int i = 0; i < interpolatedSecondaryState.length; ++i) {
interpolatedSecondaryState[i] = interpolator.interpolatedSecondaryState[i].clone();
interpolatedSecondaryDerivatives[i] = interpolator.interpolatedSecondaryDerivatives[i].clone();
}
}
finalized = interpolator.finalized;
forward = interpolator.forward;
dirtyState = interpolator.dirtyState;
primaryMapper = interpolator.primaryMapper;
secondaryMappers = (interpolator.secondaryMappers == null) ?
null : interpolator.secondaryMappers.clone();
}
/** Allocate the various interpolated states arrays.
* @param dimension total dimension (negative if arrays should be set to null)
*/
private void allocateInterpolatedArrays(final int dimension) {
if (dimension < 0) {
interpolatedState = null;
interpolatedDerivatives = null;
interpolatedPrimaryState = null;
interpolatedPrimaryDerivatives = null;
interpolatedSecondaryState = null;
interpolatedSecondaryDerivatives = null;
} else {
interpolatedState = new double[dimension];
interpolatedDerivatives = new double[dimension];
interpolatedPrimaryState = new double[primaryMapper.getDimension()];
interpolatedPrimaryDerivatives = new double[primaryMapper.getDimension()];
if (secondaryMappers == null) {
interpolatedSecondaryState = null;
interpolatedSecondaryDerivatives = null;
} else {
interpolatedSecondaryState = new double[secondaryMappers.length][];
interpolatedSecondaryDerivatives = new double[secondaryMappers.length][];
for (int i = 0; i < secondaryMappers.length; ++i) {
interpolatedSecondaryState[i] = new double[secondaryMappers[i].getDimension()];
interpolatedSecondaryDerivatives[i] = new double[secondaryMappers[i].getDimension()];
}
}
}
}
/** Reinitialize the instance
* @param y reference to the integrator array holding the state at the end of the step
* @param isForward integration direction indicator
* @param primary equations mapper for the primary equations set
* @param secondary equations mappers for the secondary equations sets
*/
protected void reinitialize(final double[] y, final boolean isForward,
final EquationsMapper primary,
final EquationsMapper[] secondary) {
globalPreviousTime = Double.NaN;
globalCurrentTime = Double.NaN;
softPreviousTime = Double.NaN;
softCurrentTime = Double.NaN;
h = Double.NaN;
interpolatedTime = Double.NaN;
currentState = y;
finalized = false;
this.forward = isForward;
this.dirtyState = true;
this.primaryMapper = primary;
this.secondaryMappers = secondary.clone();
allocateInterpolatedArrays(y.length);
}
/** {@inheritDoc} */
public StepInterpolator copy() throws MaxCountExceededException {
// finalize the step before performing copy
finalizeStep();
// create the new independent instance
return doCopy();
}
/** Really copy the finalized instance.
* This method is called by {@link #copy()} after the
* step has been finalized. It must perform a deep copy
* to have an new instance completely independent for the
* original instance.
* @return a copy of the finalized instance
*/
protected abstract StepInterpolator doCopy();
/** Shift one step forward.
* Copy the current time into the previous time, hence preparing the
* interpolator for future calls to {@link #storeTime storeTime}
*/
public void shift() {
globalPreviousTime = globalCurrentTime;
softPreviousTime = globalPreviousTime;
softCurrentTime = globalCurrentTime;
}
/** Store the current step time.
* @param t current time
*/
public void storeTime(final double t) {
globalCurrentTime = t;
softCurrentTime = globalCurrentTime;
h = globalCurrentTime - globalPreviousTime;
setInterpolatedTime(t);
// the step is not finalized anymore
finalized = false;
}
/** Restrict step range to a limited part of the global step.
*
* This method can be used to restrict a step and make it appear
* as if the original step was smaller. Calling this method
* only changes the value returned by {@link #getPreviousTime()},
* it does not change any other property
*
* @param softPreviousTime start of the restricted step
* @since 2.2
*/
public void setSoftPreviousTime(final double softPreviousTime) {
this.softPreviousTime = softPreviousTime;
}
/** Restrict step range to a limited part of the global step.
*
* This method can be used to restrict a step and make it appear
* as if the original step was smaller. Calling this method
* only changes the value returned by {@link #getCurrentTime()},
* it does not change any other property
*
* @param softCurrentTime end of the restricted step
* @since 2.2
*/
public void setSoftCurrentTime(final double softCurrentTime) {
this.softCurrentTime = softCurrentTime;
}
/**
* Get the previous global grid point time.
* @return previous global grid point time
*/
public double getGlobalPreviousTime() {
return globalPreviousTime;
}
/**
* Get the current global grid point time.
* @return current global grid point time
*/
public double getGlobalCurrentTime() {
return globalCurrentTime;
}
/**
* Get the previous soft grid point time.
* @return previous soft grid point time
* @see #setSoftPreviousTime(double)
*/
public double getPreviousTime() {
return softPreviousTime;
}
/**
* Get the current soft grid point time.
* @return current soft grid point time
* @see #setSoftCurrentTime(double)
*/
public double getCurrentTime() {
return softCurrentTime;
}
/** {@inheritDoc} */
public double getInterpolatedTime() {
return interpolatedTime;
}
/** {@inheritDoc} */
public void setInterpolatedTime(final double time) {
interpolatedTime = time;
dirtyState = true;
}
/** {@inheritDoc} */
public boolean isForward() {
return forward;
}
/** 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.
* @param theta normalized interpolation abscissa within the step
* (theta is zero at the previous time step and one at the current time step)
* @param oneMinusThetaH time gap between the interpolated time and
* the current time
* @exception MaxCountExceededException if the number of functions evaluations is exceeded
*/
protected abstract void computeInterpolatedStateAndDerivatives(double theta,
double oneMinusThetaH)
throws MaxCountExceededException;
/** Lazy evaluation of complete interpolated state.
* @exception MaxCountExceededException if the number of functions evaluations is exceeded
*/
private void evaluateCompleteInterpolatedState()
throws MaxCountExceededException {
// lazy evaluation of the state
if (dirtyState) {
final double oneMinusThetaH = globalCurrentTime - interpolatedTime;
final double theta = (h == 0) ? 0 : (h - oneMinusThetaH) / h;
computeInterpolatedStateAndDerivatives(theta, oneMinusThetaH);
dirtyState = false;
}
}
/** {@inheritDoc} */
public double[] getInterpolatedState() throws MaxCountExceededException {
evaluateCompleteInterpolatedState();
primaryMapper.extractEquationData(interpolatedState,
interpolatedPrimaryState);
return interpolatedPrimaryState;
}
/** {@inheritDoc} */
public double[] getInterpolatedDerivatives() throws MaxCountExceededException {
evaluateCompleteInterpolatedState();
primaryMapper.extractEquationData(interpolatedDerivatives,
interpolatedPrimaryDerivatives);
return interpolatedPrimaryDerivatives;
}
/** {@inheritDoc} */
public double[] getInterpolatedSecondaryState(final int index) throws MaxCountExceededException {
evaluateCompleteInterpolatedState();
secondaryMappers[index].extractEquationData(interpolatedState,
interpolatedSecondaryState[index]);
return interpolatedSecondaryState[index];
}
/** {@inheritDoc} */
public double[] getInterpolatedSecondaryDerivatives(final int index) throws MaxCountExceededException {
evaluateCompleteInterpolatedState();
secondaryMappers[index].extractEquationData(interpolatedDerivatives,
interpolatedSecondaryDerivatives[index]);
return interpolatedSecondaryDerivatives[index];
}
/**
* Finalize the step.
* Some embedded Runge-Kutta 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 {@link
* #setInterpolatedTime} 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 {@link
* StepHandler#handleStep handleStep} is valid only for the duration
* of the {@link StepHandler#handleStep 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.
* @exception MaxCountExceededException if the number of functions evaluations is exceeded
*/
public final void finalizeStep() throws MaxCountExceededException {
if (! finalized) {
doFinalize();
finalized = true;
}
}
/**
* Really finalize the step.
* The default implementation of this method does nothing.
* @exception MaxCountExceededException if the number of functions evaluations is exceeded
*/
protected void doFinalize() throws MaxCountExceededException {
}
/** {@inheritDoc} */
public abstract void writeExternal(ObjectOutput out)
throws IOException;
/** {@inheritDoc} */
public abstract void readExternal(ObjectInput in)
throws IOException, ClassNotFoundException;
/** Save the base state of the instance.
* This method performs step finalization if it has not been done
* before.
* @param out stream where to save the state
* @exception IOException in case of write error
*/
protected void writeBaseExternal(final ObjectOutput out)
throws IOException {
if (currentState == null) {
out.writeInt(-1);
} else {
out.writeInt(currentState.length);
}
out.writeDouble(globalPreviousTime);
out.writeDouble(globalCurrentTime);
out.writeDouble(softPreviousTime);
out.writeDouble(softCurrentTime);
out.writeDouble(h);
out.writeBoolean(forward);
out.writeObject(primaryMapper);
out.write(secondaryMappers.length);
for (final EquationsMapper mapper : secondaryMappers) {
out.writeObject(mapper);
}
if (currentState != null) {
for (int i = 0; i < currentState.length; ++i) {
out.writeDouble(currentState[i]);
}
}
out.writeDouble(interpolatedTime);
// we do not store the interpolated state,
// it will be recomputed as needed after reading
try {
// finalize the step (and don't bother saving the now true flag)
finalizeStep();
} catch (MaxCountExceededException mcee) {
final IOException ioe = new IOException(mcee.getLocalizedMessage());
ioe.initCause(mcee);
throw ioe;
}
}
/** Read the base state of the instance.
* This method does neither set the interpolated
* time nor state. It is up to the derived class to reset it
* properly calling the {@link #setInterpolatedTime} method later,
* once all rest of the object state has been set up properly.
* @param in stream where to read the state from
* @return interpolated time to be set later by the caller
* @exception IOException in case of read error
* @exception ClassNotFoundException if an equation mapper class
* cannot be found
*/
protected double readBaseExternal(final ObjectInput in)
throws IOException, ClassNotFoundException {
final int dimension = in.readInt();
globalPreviousTime = in.readDouble();
globalCurrentTime = in.readDouble();
softPreviousTime = in.readDouble();
softCurrentTime = in.readDouble();
h = in.readDouble();
forward = in.readBoolean();
primaryMapper = (EquationsMapper) in.readObject();
secondaryMappers = new EquationsMapper[in.read()];
for (int i = 0; i < secondaryMappers.length; ++i) {
secondaryMappers[i] = (EquationsMapper) in.readObject();
}
dirtyState = true;
if (dimension < 0) {
currentState = null;
} else {
currentState = new double[dimension];
for (int i = 0; i < currentState.length; ++i) {
currentState[i] = in.readDouble();
}
}
// we do NOT handle the interpolated time and state here
interpolatedTime = Double.NaN;
allocateInterpolatedArrays(dimension);
finalized = true;
return in.readDouble();
}
}