FieldSpacecraftStateInterpolator.java
/* Copyright 2002-2023 CS GROUP
* Licensed to CS GROUP (CS) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* CS 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
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package org.orekit.propagation;
import org.hipparchus.CalculusFieldElement;
import org.hipparchus.Field;
import org.hipparchus.util.MathArrays;
import org.hipparchus.util.Pair;
import org.orekit.attitudes.AttitudeProvider;
import org.orekit.attitudes.FieldAttitude;
import org.orekit.attitudes.FieldAttitudeInterpolator;
import org.orekit.attitudes.FrameAlignedProvider;
import org.orekit.errors.OrekitException;
import org.orekit.errors.OrekitIllegalArgumentException;
import org.orekit.errors.OrekitInternalError;
import org.orekit.errors.OrekitMessages;
import org.orekit.frames.Frame;
import org.orekit.orbits.FieldOrbit;
import org.orekit.orbits.FieldOrbitHermiteInterpolator;
import org.orekit.time.AbstractFieldTimeInterpolator;
import org.orekit.time.AbstractTimeInterpolator;
import org.orekit.time.FieldAbsoluteDate;
import org.orekit.time.FieldTimeInterpolator;
import org.orekit.time.FieldTimeStamped;
import org.orekit.time.TimeStampedField;
import org.orekit.time.TimeStampedFieldHermiteInterpolator;
import org.orekit.utils.AngularDerivativesFilter;
import org.orekit.utils.CartesianDerivativesFilter;
import org.orekit.utils.FieldAbsolutePVCoordinates;
import org.orekit.utils.FieldAbsolutePVCoordinatesHermiteInterpolator;
import org.orekit.utils.FieldArrayDictionary;
import org.orekit.utils.FieldPVCoordinatesProvider;
import org.orekit.utils.TimeStampedFieldAngularCoordinatesHermiteInterpolator;
import java.util.ArrayList;
import java.util.Collection;
import java.util.HashMap;
import java.util.List;
import java.util.Map;
import java.util.Optional;
import java.util.stream.Collectors;
/**
* Generic class for spacecraft state interpolator.
* <p>
* The user can specify what interpolator to use for each attribute of the spacecraft state. However, at least one
* interpolator for either orbit or absolute position-velocity-acceleration is needed. All the other interpolators can be
* left to null if the user do not want to interpolate these values.
*
* @param <KK> type of the field element
*
* @author Luc Maisonobe
* @author Vincent Cucchietti
* @see SpacecraftState
*/
public class FieldSpacecraftStateInterpolator<KK extends CalculusFieldElement<KK>>
extends AbstractFieldTimeInterpolator<FieldSpacecraftState<KK>, KK> {
/**
* Output frame.
* <p><b>Must be inertial</b> if interpolating spacecraft states defined by orbit</p>
*/
private final Frame outputFrame;
/** Orbit interpolator. */
private final FieldTimeInterpolator<FieldOrbit<KK>, KK> orbitInterpolator;
/** Absolute position-velocity-acceleration interpolator. */
private final FieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>, KK> absPVAInterpolator;
/** Mass interpolator. */
private final FieldTimeInterpolator<TimeStampedField<KK>, KK> massInterpolator;
/** Attitude interpolator. */
private final FieldTimeInterpolator<FieldAttitude<KK>, KK> attitudeInterpolator;
/** Additional state interpolator. */
private final FieldTimeInterpolator<TimeStampedField<KK>, KK> additionalStateInterpolator;
/**
* Simplest constructor to create a default Hermite interpolator for every spacecraft state field.
* <p>
* The interpolators will have the following configuration :
* <ul>
* <li>Same frame for coordinates and attitude </li>
* <li>Default number of interpolation points of {@code DEFAULT_INTERPOLATION_POINTS}</li>
* <li>Default extrapolation threshold of {@code DEFAULT_EXTRAPOLATION_THRESHOLD_SEC} s</li>
* <li>Use of position and two time derivatives for absolute position-velocity-acceleration coordinates interpolation</li>
* <li>Use of angular and first time derivative for attitude interpolation</li>
* </ul>
* <p>
* As this implementation of interpolation is polynomial, it should be used only with small number of interpolation
* points (about 10-20 points) in order to avoid <a href="http://en.wikipedia.org/wiki/Runge%27s_phenomenon">Runge's
* phenomenon</a> and numerical problems (including NaN appearing).
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if this instance is going to interpolate between
* tabulated spacecraft states defined by orbit, will throw an error otherwise.
*
* @param outputFrame output frame
*/
public FieldSpacecraftStateInterpolator(final Frame outputFrame) {
this(DEFAULT_INTERPOLATION_POINTS, outputFrame);
}
/**
* Constructor to create a customizable Hermite interpolator for every spacecraft state field.
* <p>
* The interpolators will have the following configuration :
* <ul>
* <li>Same frame for coordinates and attitude </li>
* <li>Default number of interpolation points of {@code DEFAULT_INTERPOLATION_POINTS}</li>
* <li>Default extrapolation threshold of {@code DEFAULT_EXTRAPOLATION_THRESHOLD_SEC} s</li>
* <li>Use of position and two time derivatives for absolute position-velocity-acceleration coordinates interpolation</li>
* <li>Use of angular and first time derivative for attitude interpolation</li>
* </ul>
* <p>
* As this implementation of interpolation is polynomial, it should be used only with small number of interpolation
* points (about 10-20 points) in order to avoid <a href="http://en.wikipedia.org/wiki/Runge%27s_phenomenon">Runge's
* phenomenon</a> and numerical problems (including NaN appearing).
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if this instance is going to interpolate between
* tabulated spacecraft states defined by orbit, will throw an error otherwise.
*
* @param interpolationPoints number of interpolation points
* @param outputFrame output frame
*/
public FieldSpacecraftStateInterpolator(final int interpolationPoints, final Frame outputFrame) {
this(interpolationPoints, outputFrame, outputFrame);
}
/**
* Constructor to create a customizable Hermite interpolator for every spacecraft state field.
* <p>
* The interpolators will have the following configuration :
* <ul>
* <li>Default extrapolation threshold of {@code DEFAULT_EXTRAPOLATION_THRESHOLD_SEC} s</li>
* <li>Use of position and two time derivatives for absolute position-velocity-acceleration coordinates interpolation</li>
* <li>Use of angular and first time derivative for attitude interpolation</li>
* </ul>
* <p>
* As this implementation of interpolation is polynomial, it should be used only with small number of interpolation
* points (about 10-20 points) in order to avoid <a href="http://en.wikipedia.org/wiki/Runge%27s_phenomenon">Runge's
* phenomenon</a> and numerical problems (including NaN appearing).
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if this instance is going to interpolate between
* tabulated spacecraft states defined by orbit, will throw an error otherwise.
*
* @param interpolationPoints number of interpolation points
* @param outputFrame output frame
* @param attitudeReferenceFrame reference frame from which attitude is defined
*/
public FieldSpacecraftStateInterpolator(final int interpolationPoints, final Frame outputFrame,
final Frame attitudeReferenceFrame) {
this(interpolationPoints, AbstractTimeInterpolator.DEFAULT_EXTRAPOLATION_THRESHOLD_SEC,
outputFrame, attitudeReferenceFrame);
}
/**
* Constructor to create a customizable Hermite interpolator for every spacecraft state field.
* <p>
* The interpolators will have the following configuration :
* <ul>
* <li>Use of position and two time derivatives for absolute position-velocity-acceleration coordinates interpolation</li>
* <li>Use of angular and first time derivative for attitude interpolation</li>
* </ul>
* <p>
* As this implementation of interpolation is polynomial, it should be used only with small number of interpolation
* points (about 10-20 points) in order to avoid <a href="http://en.wikipedia.org/wiki/Runge%27s_phenomenon">Runge's
* phenomenon</a> and numerical problems (including NaN appearing).
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if this instance is going to interpolate between
* tabulated spacecraft states defined by orbit, will throw an error otherwise.
*
* @param interpolationPoints number of interpolation points
* @param extrapolationThreshold extrapolation threshold beyond which the propagation will fail
* @param outputFrame output frame
* @param attitudeReferenceFrame reference frame from which attitude is defined
*/
public FieldSpacecraftStateInterpolator(final int interpolationPoints, final double extrapolationThreshold,
final Frame outputFrame, final Frame attitudeReferenceFrame) {
this(interpolationPoints, extrapolationThreshold, outputFrame, attitudeReferenceFrame,
CartesianDerivativesFilter.USE_PVA, AngularDerivativesFilter.USE_RR);
}
/**
* Constructor.
* <p>
* As this implementation of interpolation is polynomial, it should be used only with small number of interpolation
* points (about 10-20 points) in order to avoid <a href="http://en.wikipedia.org/wiki/Runge%27s_phenomenon">Runge's
* phenomenon</a> and numerical problems (including NaN appearing).
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if this instance is going to interpolate between
* tabulated spacecraft states defined by orbit, will throw an error otherwise.
*
* @param interpolationPoints number of interpolation points
* @param extrapolationThreshold extrapolation threshold beyond which the propagation will fail
* @param outputFrame output frame
* @param pvaFilter filter for derivatives from the sample to use in position-velocity-acceleration interpolation
* @param attitudeReferenceFrame reference frame from which attitude is defined
* @param angularFilter filter for derivatives from the sample to use in attitude interpolation
*/
public FieldSpacecraftStateInterpolator(final int interpolationPoints,
final double extrapolationThreshold,
final Frame outputFrame,
final Frame attitudeReferenceFrame,
final CartesianDerivativesFilter pvaFilter,
final AngularDerivativesFilter angularFilter) {
this(outputFrame,
new FieldOrbitHermiteInterpolator<>(interpolationPoints, extrapolationThreshold, outputFrame, pvaFilter),
new FieldAbsolutePVCoordinatesHermiteInterpolator<>(interpolationPoints, extrapolationThreshold, outputFrame,
pvaFilter),
new TimeStampedFieldHermiteInterpolator<>(interpolationPoints, extrapolationThreshold),
new FieldAttitudeInterpolator<>(attitudeReferenceFrame,
new TimeStampedFieldAngularCoordinatesHermiteInterpolator<KK>(
interpolationPoints, extrapolationThreshold, angularFilter)),
new TimeStampedFieldHermiteInterpolator<>(interpolationPoints, extrapolationThreshold));
}
/**
* Constructor.
* <p>
* <b>BEWARE:</b> output frame <b>must be inertial</b> if interpolated spacecraft states are defined by orbit. Throws an
* error otherwise.
*
* @param outputFrame output frame
* @param orbitInterpolator orbit interpolator
* @param absPVAInterpolator absolute position-velocity-acceleration
* @param massInterpolator mass interpolator
* @param attitudeInterpolator attitude interpolator
* @param additionalStateInterpolator additional state interpolator
*/
public FieldSpacecraftStateInterpolator(final Frame outputFrame,
final FieldTimeInterpolator<FieldOrbit<KK>, KK> orbitInterpolator,
final FieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>, KK> absPVAInterpolator,
final FieldTimeInterpolator<TimeStampedField<KK>, KK> massInterpolator,
final FieldTimeInterpolator<FieldAttitude<KK>, KK> attitudeInterpolator,
final FieldTimeInterpolator<TimeStampedField<KK>, KK> additionalStateInterpolator) {
super(DEFAULT_INTERPOLATION_POINTS, DEFAULT_EXTRAPOLATION_THRESHOLD_SEC);
checkAtLeastOneInterpolator(orbitInterpolator, absPVAInterpolator);
this.outputFrame = outputFrame;
this.orbitInterpolator = orbitInterpolator;
this.absPVAInterpolator = absPVAInterpolator;
this.massInterpolator = massInterpolator;
this.attitudeInterpolator = attitudeInterpolator;
this.additionalStateInterpolator = additionalStateInterpolator;
}
/**
* {@inheritDoc}
* <p>
* The additional states that are interpolated are the ones already present in the first neighbor instance. The sample
* instances must therefore have at least the same additional states as this neighbor instance. They may have more
* additional states, but the extra ones will be ignored.
* <p>
* All the sample instances <em>must</em> be based on similar trajectory data, i.e. they must either all be based on
* orbits or all be based on absolute position-velocity-acceleration. Any inconsistency will trigger an
* {@link OrekitIllegalArgumentException}.
*
* @throws OrekitIllegalArgumentException if there are states defined by orbits and absolute
* position-velocity-acceleration coordinates
* @throws OrekitIllegalArgumentException if there is no defined interpolator for given sample spacecraft state
* definition type
*/
@Override
public FieldSpacecraftState<KK> interpolate(final FieldAbsoluteDate<KK> interpolationDate,
final Collection<FieldSpacecraftState<KK>> sample) {
final List<FieldSpacecraftState<KK>> sampleList = new ArrayList<>(sample);
// Convert to spacecraft state for consistency check
final List<SpacecraftState> nonFieldSampleList =
sampleList.stream().map(FieldSpacecraftState::toSpacecraftState).collect(Collectors.toList());
// If sample is empty, an error will be thrown in super method
if (!sampleList.isEmpty()) {
// Check given that given states definition are consistent
// (all defined by either orbits or absolute position-velocity-acceleration coordinates)
SpacecraftStateInterpolator.checkStatesDefinitionsConsistency(nonFieldSampleList);
// Check interpolator and sample consistency
SpacecraftStateInterpolator.checkSampleAndInterpolatorConsistency(nonFieldSampleList,
orbitInterpolator != null,
absPVAInterpolator != null);
}
return super.interpolate(interpolationDate, sample);
}
/** {@inheritDoc} */
@Override
public List<FieldTimeInterpolator<? extends FieldTimeStamped<KK>, KK>> getSubInterpolators() {
// Add all sub interpolators that are defined
final List<FieldTimeInterpolator<? extends FieldTimeStamped<KK>, KK>> subInterpolators = new ArrayList<>();
addOptionalSubInterpolatorIfDefined(orbitInterpolator, subInterpolators);
addOptionalSubInterpolatorIfDefined(absPVAInterpolator, subInterpolators);
addOptionalSubInterpolatorIfDefined(massInterpolator, subInterpolators);
addOptionalSubInterpolatorIfDefined(attitudeInterpolator, subInterpolators);
addOptionalSubInterpolatorIfDefined(additionalStateInterpolator, subInterpolators);
return subInterpolators;
}
/**
* @return fail to return number of interpolation points used by this interpolator.
*
* @throws OrekitException because multiple interpolator are defined so the number of interpolation points used may
* differ.
*/
@Override
public int getNbInterpolationPoints() {
throw new OrekitException(OrekitMessages.MULTIPLE_INTERPOLATOR_USED);
}
/**
* {@inheritDoc}
*/
@Override
protected FieldSpacecraftState<KK> interpolate(final InterpolationData interpolationData) {
// Get interpolation date
final FieldAbsoluteDate<KK> interpolationDate = interpolationData.getInterpolationDate();
// Get first state definition
final FieldSpacecraftState<KK> earliestState = interpolationData.getNeighborList().get(0);
final boolean areOrbitDefined = earliestState.isOrbitDefined();
// Prepare samples
final List<FieldAttitude<KK>> attitudes = new ArrayList<>();
final List<TimeStampedField<KK>> masses = new ArrayList<>();
final List<FieldArrayDictionary<KK>.Entry> additionalEntries =
earliestState.getAdditionalStatesValues().getData();
final Map<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> additionalSample =
createAdditionalStateSample(additionalEntries);
final List<FieldArrayDictionary<KK>.Entry> additionalDotEntries =
earliestState.getAdditionalStatesDerivatives().getData();
final Map<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> additionalDotSample =
createAdditionalStateSample(additionalDotEntries);
// Fill interpolators with samples
final List<FieldSpacecraftState<KK>> samples = interpolationData.getCachedSamples().getAll();
final List<FieldOrbit<KK>> orbitSample = new ArrayList<>();
final List<FieldAbsolutePVCoordinates<KK>> absPVASample = new ArrayList<>();
for (FieldSpacecraftState<KK> state : samples) {
final FieldAbsoluteDate<KK> currentDate = state.getDate();
// Add orbit sample if state is defined with an orbit
if (state.isOrbitDefined()) {
orbitSample.add(state.getOrbit());
}
// Add absolute position-velocity-acceleration sample if state is defined with an absolute position-velocity-acceleration
else {
absPVASample.add(state.getAbsPVA());
}
// Add mass sample
if (massInterpolator != null) {
masses.add(new TimeStampedField<>(state.getMass(), state.getDate()));
}
// Add attitude sample if it is interpolated
if (attitudeInterpolator != null) {
attitudes.add(state.getAttitude());
}
if (additionalStateInterpolator != null) {
// Add all additional state values if they are interpolated
for (final Map.Entry<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> entry : additionalSample.entrySet()) {
entry.getValue().add(new Pair<>(currentDate, state.getAdditionalState(entry.getKey())));
}
// Add all additional state derivative values if they are interpolated
for (final Map.Entry<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> entry : additionalDotSample.entrySet()) {
entry.getValue().add(new Pair<>(currentDate, state.getAdditionalStateDerivative(entry.getKey())));
}
}
}
// Interpolate mass
final KK one = interpolationData.getOne();
final KK interpolatedMass;
if (massInterpolator != null) {
interpolatedMass = massInterpolator.interpolate(interpolationDate, masses).getValue();
}
else {
interpolatedMass = one.multiply(SpacecraftState.DEFAULT_MASS);
}
// Interpolate additional states and derivatives
final FieldArrayDictionary<KK> interpolatedAdditional;
final FieldArrayDictionary<KK> interpolatedAdditionalDot;
if (additionalStateInterpolator != null) {
interpolatedAdditional = interpolateAdditionalState(interpolationDate, additionalSample);
interpolatedAdditionalDot = interpolateAdditionalState(interpolationDate, additionalDotSample);
}
else {
interpolatedAdditional = null;
interpolatedAdditionalDot = null;
}
// Interpolate orbit
if (areOrbitDefined && orbitInterpolator != null) {
final FieldOrbit<KK> interpolatedOrbit =
orbitInterpolator.interpolate(interpolationDate, orbitSample);
final FieldAttitude<KK> interpolatedAttitude =
interpolateAttitude(interpolationDate, attitudes, interpolatedOrbit);
return new FieldSpacecraftState<>(interpolatedOrbit, interpolatedAttitude, interpolatedMass,
interpolatedAdditional, interpolatedAdditionalDot);
}
// Interpolate absolute position-velocity-acceleration
else if (!areOrbitDefined && absPVAInterpolator != null) {
final FieldAbsolutePVCoordinates<KK> interpolatedAbsPva =
absPVAInterpolator.interpolate(interpolationDate, absPVASample);
final FieldAttitude<KK> interpolatedAttitude =
interpolateAttitude(interpolationDate, attitudes, interpolatedAbsPva);
return new FieldSpacecraftState<>(interpolatedAbsPva, interpolatedAttitude, interpolatedMass,
interpolatedAdditional, interpolatedAdditionalDot);
}
// Should never happen
else {
throw new OrekitInternalError(null);
}
}
/** Get output frame.
* @return output frame
*/
public Frame getOutputFrame() {
return outputFrame;
}
/** Get orbit interpolator.
* @return optional orbit interpolator
*
* @see Optional
*/
public Optional<FieldTimeInterpolator<FieldOrbit<KK>, KK>> getOrbitInterpolator() {
return Optional.ofNullable(orbitInterpolator);
}
/** Get absolute position-velocity-acceleration interpolator.
* @return optional absolute position-velocity-acceleration interpolator
*
* @see Optional
*/
public Optional<FieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>, KK>> getAbsPVAInterpolator() {
return Optional.ofNullable(absPVAInterpolator);
}
/** Get mass interpolator.
* @return optional mass interpolator
*
* @see Optional
*/
public Optional<FieldTimeInterpolator<TimeStampedField<KK>, KK>> getMassInterpolator() {
return Optional.ofNullable(massInterpolator);
}
/** Get attitude interpolator.
* @return optional attitude interpolator
*
* @see Optional
*/
public Optional<FieldTimeInterpolator<FieldAttitude<KK>, KK>> getAttitudeInterpolator() {
return Optional.ofNullable(attitudeInterpolator);
}
/** Get additional state interpolator.
* @return optional additional state interpolator
*
* @see Optional
*/
public Optional<FieldTimeInterpolator<TimeStampedField<KK>, KK>> getAdditionalStateInterpolator() {
return Optional.ofNullable(additionalStateInterpolator);
}
/**
* Check that at least one interpolator is defined.
*
* @param orbitInterpolatorToCheck orbit interpolator
* @param absPVAInterpolatorToCheck absolute position-velocity-acceleration interpolator
*/
private void checkAtLeastOneInterpolator(final FieldTimeInterpolator<FieldOrbit<KK>, KK> orbitInterpolatorToCheck,
final FieldTimeInterpolator<FieldAbsolutePVCoordinates<KK>, KK> absPVAInterpolatorToCheck) {
if (orbitInterpolatorToCheck == null && absPVAInterpolatorToCheck == null) {
throw new OrekitIllegalArgumentException(OrekitMessages.NO_INTERPOLATOR_FOR_STATE_DEFINITION);
}
}
/**
* Create empty samples for given additional entries.
*
* @param additionalEntries tabulated additional entries
*
* @return empty samples for given additional entries
*/
private Map<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> createAdditionalStateSample(
final List<FieldArrayDictionary<KK>.Entry> additionalEntries) {
final Map<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> additionalSamples =
new HashMap<>(additionalEntries.size());
for (final FieldArrayDictionary<KK>.Entry entry : additionalEntries) {
additionalSamples.put(entry.getKey(), new ArrayList<>());
}
return additionalSamples;
}
/**
* Interpolate additional state values.
*
* @param interpolationDate interpolation date
* @param additionalSamples additional state samples
*
* @return interpolated additional state values
*/
private FieldArrayDictionary<KK> interpolateAdditionalState(final FieldAbsoluteDate<KK> interpolationDate,
final Map<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> additionalSamples) {
final Field<KK> field = interpolationDate.getField();
final FieldArrayDictionary<KK> interpolatedAdditional;
if (additionalSamples.isEmpty()) {
interpolatedAdditional = null;
}
else {
interpolatedAdditional = new FieldArrayDictionary<>(field, additionalSamples.size());
for (final Map.Entry<String, List<Pair<FieldAbsoluteDate<KK>, KK[]>>> entry : additionalSamples.entrySet()) {
// Get current entry
final List<Pair<FieldAbsoluteDate<KK>, KK[]>> currentAdditionalSamples = entry.getValue();
// Extract number of values for this specific entry
final int nbOfValues = currentAdditionalSamples.get(0).getValue().length;
// For each value of current additional state entry
final KK[] currentInterpolatedAdditional = MathArrays.buildArray(field, nbOfValues);
for (int i = 0; i < nbOfValues; i++) {
// Create final index for lambda expression use
final int currentIndex = i;
// Create sample for specific value of current additional state values
final List<TimeStampedField<KK>> currentValueSample = new ArrayList<>();
currentAdditionalSamples.forEach(currentSamples -> currentValueSample.add(
new TimeStampedField<>(currentSamples.getValue()[currentIndex], currentSamples.getFirst())));
// Interpolate
currentInterpolatedAdditional[i] =
additionalStateInterpolator.interpolate(interpolationDate, currentValueSample).getValue();
}
interpolatedAdditional.put(entry.getKey(), currentInterpolatedAdditional);
}
}
return interpolatedAdditional;
}
/**
* Interpolate attitude.
* <p>
* If no attitude interpolator were defined, create a default inertial provider with respect to the output frame.
*
* @param interpolationDate interpolation date
* @param attitudes attitudes sample
* @param pvProvider position-velocity-acceleration coordinates provider
*
* @return interpolated attitude if attitude interpolator is present, default attitude otherwise
*/
private FieldAttitude<KK> interpolateAttitude(final FieldAbsoluteDate<KK> interpolationDate,
final List<FieldAttitude<KK>> attitudes,
final FieldPVCoordinatesProvider<KK> pvProvider) {
if (attitudes.isEmpty()) {
final AttitudeProvider attitudeProvider = new FrameAlignedProvider(outputFrame);
return attitudeProvider.getAttitude(pvProvider, interpolationDate, outputFrame);
}
else {
return attitudeInterpolator.interpolate(interpolationDate, attitudes);
}
}
}