use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class AngularAzElTest method testStateDerivatives.
@Test
public void testStateDerivatives() throws OrekitException {
Context context = EstimationTestUtils.geoStationnaryContext("regular-data:potential:tides");
final NumericalPropagatorBuilder propagatorBuilder = context.createBuilder(OrbitType.EQUINOCTIAL, PositionAngle.TRUE, false, 1.0e-6, 60.0, 0.001);
// create perfect azimuth-elevation measurements
final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit, propagatorBuilder);
final List<ObservedMeasurement<?>> measurements = EstimationTestUtils.createMeasurements(propagator, new AngularAzElMeasurementCreator(context), 0.25, 3.0, 600.0);
propagator.setSlaveMode();
// Compute measurements.
double[] AzerrorsP = new double[3 * measurements.size()];
double[] AzerrorsV = new double[3 * measurements.size()];
double[] ElerrorsP = new double[3 * measurements.size()];
double[] ElerrorsV = new double[3 * measurements.size()];
int AzindexP = 0;
int AzindexV = 0;
int ElindexP = 0;
int ElindexV = 0;
for (final ObservedMeasurement<?> measurement : measurements) {
// parameter corresponding to station position offset
final GroundStation stationParameter = ((AngularAzEl) measurement).getStation();
// We intentionally propagate to a date which is close to the
// real spacecraft state but is *not* the accurate date, by
// compensating only part of the downlink delay. This is done
// in order to validate the partial derivatives with respect
// to velocity. If we had chosen the proper state date, the
// angular would have depended only on the current position but
// not on the current velocity.
final AbsoluteDate datemeas = measurement.getDate();
SpacecraftState state = propagator.propagate(datemeas);
final Vector3D stationP = stationParameter.getOffsetToInertial(state.getFrame(), datemeas).transformPosition(Vector3D.ZERO);
final double meanDelay = AbstractMeasurement.signalTimeOfFlight(state.getPVCoordinates(), stationP, datemeas);
final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
state = propagator.propagate(date);
final EstimatedMeasurement<?> estimated = measurement.estimate(0, 0, new SpacecraftState[] { state });
Assert.assertEquals(2, estimated.getParticipants().length);
final double[][] jacobian = estimated.getStateDerivatives(0);
// compute a reference value using finite differences
final double[][] finiteDifferencesJacobian = Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) throws OrekitException {
return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
}
}, measurement.getDimension(), propagator.getAttitudeProvider(), OrbitType.CARTESIAN, PositionAngle.TRUE, 250.0, 4).value(state);
Assert.assertEquals(finiteDifferencesJacobian.length, jacobian.length);
Assert.assertEquals(finiteDifferencesJacobian[0].length, jacobian[0].length);
final double smallest = FastMath.ulp((double) 1.0);
for (int i = 0; i < jacobian.length; ++i) {
for (int j = 0; j < jacobian[i].length; ++j) {
double relativeError = FastMath.abs((finiteDifferencesJacobian[i][j] - jacobian[i][j]) / finiteDifferencesJacobian[i][j]);
if ((FastMath.sqrt(finiteDifferencesJacobian[i][j]) < smallest) && (FastMath.sqrt(jacobian[i][j]) < smallest)) {
relativeError = 0.0;
}
if (j < 3) {
if (i == 0) {
AzerrorsP[AzindexP++] = relativeError;
} else {
ElerrorsP[ElindexP++] = relativeError;
}
} else {
if (i == 0) {
AzerrorsV[AzindexV++] = relativeError;
} else {
ElerrorsV[ElindexV++] = relativeError;
}
}
}
}
}
// median errors on Azimuth
Assert.assertEquals(0.0, new Median().evaluate(AzerrorsP), 1.1e-10);
Assert.assertEquals(0.0, new Median().evaluate(AzerrorsV), 5.7e-5);
// median errors on Elevation
Assert.assertEquals(0.0, new Median().evaluate(ElerrorsP), 3.5e-11);
Assert.assertEquals(0.0, new Median().evaluate(ElerrorsV), 1.4e-5);
}
use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class TurnAroundRangeAnalyticTest method genericTestStateDerivatives.
/**
* Generic test function for derivatives with respect to state
* @param isModifier Use of atmospheric modifiers
* @param isFiniteDifferences Finite differences reference calculation if true, TurnAroundRange class otherwise
* @param printResults Print the results ?
* @throws OrekitException
*/
void genericTestStateDerivatives(final boolean isModifier, final boolean isFiniteDifferences, final boolean printResults, final double refErrorsPMedian, final double refErrorsPMean, final double refErrorsPMax, final double refErrorsVMedian, final double refErrorsVMean, final double refErrorsVMax) throws OrekitException {
Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
// Context context = EstimationTestUtils.geoStationnaryContext();
final NumericalPropagatorBuilder propagatorBuilder = context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true, 1.0e-6, 60.0, 0.001);
// create perfect range2 measurements
final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit, propagatorBuilder);
final List<ObservedMeasurement<?>> measurements = EstimationTestUtils.createMeasurements(propagator, new TurnAroundRangeMeasurementCreator(context), 1.0, 3.0, 300.0);
propagator.setSlaveMode();
double[] errorsP = new double[3 * measurements.size()];
double[] errorsV = new double[3 * measurements.size()];
int indexP = 0;
int indexV = 0;
// Print the results ? Header
if (printResults) {
System.out.format(Locale.US, "%-15s %-15s %-23s %-23s " + "%10s %10s %10s " + "%10s %10s %10s " + "%10s %10s %10s " + "%10s %10s %10s%n", "Master Station", "Slave Station", "Measurement Date", "State Date", "ΔdPx", "ΔdPy", "ΔdPz", "ΔdVx", "ΔdVy", "ΔdVz", "rel ΔdPx", "rel ΔdPy", "rel ΔdPz", "rel ΔdVx", "rel ΔdVy", "rel ΔdVz");
}
// Loop on the measurements
for (final ObservedMeasurement<?> measurement : measurements) {
// Add modifiers if test implies it
final TurnAroundRangeTroposphericDelayModifier modifier = new TurnAroundRangeTroposphericDelayModifier(SaastamoinenModel.getStandardModel());
if (isModifier) {
((TurnAroundRange) measurement).addModifier(modifier);
}
// We intentionally propagate to a date which is close to the
// real spacecraft state but is *not* the accurate date, by
// compensating only part of the downlink delay. This is done
// in order to validate the partial derivatives with respect
// to velocity. If we had chosen the proper state date, the
// range would have depended only on the current position but
// not on the current velocity.
final double meanDelay = measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
final SpacecraftState state = propagator.propagate(date);
final EstimatedMeasurement<TurnAroundRange> TAR = new TurnAroundRangeAnalytic((TurnAroundRange) measurement).theoreticalEvaluationAnalytic(0, 0, propagator.getInitialState(), state);
if (isModifier) {
modifier.modify(TAR);
}
final double[][] jacobian = TAR.getStateDerivatives(0);
// Jacobian reference value
final double[][] jacobianRef;
if (isFiniteDifferences) {
// Compute a reference value using finite differences
jacobianRef = Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) throws OrekitException {
return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
}
}, measurement.getDimension(), propagator.getAttitudeProvider(), OrbitType.CARTESIAN, PositionAngle.TRUE, 2.0, 3).value(state);
} else {
// Compute a reference value using TurnAroundRange class function
jacobianRef = ((TurnAroundRange) measurement).theoreticalEvaluation(0, 0, new SpacecraftState[] { state }).getStateDerivatives(0);
}
// //Test: Test point by point with the debugger
// if (!isFiniteDifferences && !isModifier) {
// final EstimatedMeasurement<TurnAroundRange> test =
// new TurnAroundRangeAnalytic((TurnAroundRange)measurement).theoreticalEvaluationValidation(0, 0, state);
// }
// //Test
Assert.assertEquals(jacobianRef.length, jacobian.length);
Assert.assertEquals(jacobianRef[0].length, jacobian[0].length);
double[][] dJacobian = new double[jacobian.length][jacobian[0].length];
double[][] dJacobianRelative = new double[jacobian.length][jacobian[0].length];
for (int i = 0; i < jacobian.length; ++i) {
for (int j = 0; j < jacobian[i].length; ++j) {
dJacobian[i][j] = jacobian[i][j] - jacobianRef[i][j];
dJacobianRelative[i][j] = FastMath.abs(dJacobian[i][j] / jacobianRef[i][j]);
if (j < 3) {
errorsP[indexP++] = dJacobianRelative[i][j];
} else {
errorsV[indexV++] = dJacobianRelative[i][j];
}
}
}
// Print results on the console ? Print the Jacobian
if (printResults) {
String masterStationName = ((TurnAroundRange) measurement).getMasterStation().getBaseFrame().getName();
String slaveStationName = ((TurnAroundRange) measurement).getSlaveStation().getBaseFrame().getName();
System.out.format(Locale.US, "%-15s %-15s %-23s %-23s " + "%10.3e %10.3e %10.3e " + "%10.3e %10.3e %10.3e " + "%10.3e %10.3e %10.3e " + "%10.3e %10.3e %10.3e%n", masterStationName, slaveStationName, measurement.getDate(), date, dJacobian[0][0], dJacobian[0][1], dJacobian[0][2], dJacobian[0][3], dJacobian[0][4], dJacobian[0][5], dJacobianRelative[0][0], dJacobianRelative[0][1], dJacobianRelative[0][2], dJacobianRelative[0][3], dJacobianRelative[0][4], dJacobianRelative[0][5]);
}
}
// End loop on the measurements
// Compute some statistics
final double errorsPMedian = new Median().evaluate(errorsP);
final double errorsPMean = new Mean().evaluate(errorsP);
final double errorsPMax = new Max().evaluate(errorsP);
final double errorsVMedian = new Median().evaluate(errorsV);
final double errorsVMean = new Mean().evaluate(errorsV);
final double errorsVMax = new Max().evaluate(errorsV);
// Print the results on console ? Final results
if (printResults) {
System.out.println();
System.out.format(Locale.US, "Relative errors dR/dP -> Median: %6.3e / Mean: %6.3e / Max: %6.3e%n", errorsPMedian, errorsPMean, errorsPMax);
System.out.format(Locale.US, "Relative errors dR/dV -> Median: %6.3e / Mean: %6.3e / Max: %6.3e%n", errorsVMedian, errorsVMean, errorsVMax);
}
// Assert the results / max values depend on the test
Assert.assertEquals(0.0, errorsPMedian, refErrorsPMedian);
Assert.assertEquals(0.0, errorsPMean, refErrorsPMean);
Assert.assertEquals(0.0, errorsPMax, refErrorsPMax);
Assert.assertEquals(0.0, errorsVMedian, refErrorsVMedian);
Assert.assertEquals(0.0, errorsVMean, refErrorsVMean);
Assert.assertEquals(0.0, errorsVMax, refErrorsVMax);
}
use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class PVTest method testStateDerivatives.
@Test
public void testStateDerivatives() throws OrekitException {
Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
final NumericalPropagatorBuilder propagatorBuilder = context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true, 1.0e-6, 60.0, 0.001);
// create perfect range measurements
final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit, propagatorBuilder);
final List<ObservedMeasurement<?>> measurements = EstimationTestUtils.createMeasurements(propagator, new PVMeasurementCreator(), 1.0, 3.0, 300.0);
propagator.setSlaveMode();
double[] errorsP = new double[3 * 6 * measurements.size()];
double[] errorsV = new double[3 * 6 * measurements.size()];
int indexP = 0;
int indexV = 0;
for (final ObservedMeasurement<?> measurement : measurements) {
final AbsoluteDate date = measurement.getDate();
final SpacecraftState state = propagator.propagate(date);
final double[][] jacobian = measurement.estimate(0, 0, new SpacecraftState[] { state }).getStateDerivatives(0);
// compute a reference value using finite differences
final double[][] finiteDifferencesJacobian = Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) throws OrekitException {
return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
}
}, measurement.getDimension(), propagator.getAttitudeProvider(), OrbitType.CARTESIAN, PositionAngle.TRUE, 1.0, 3).value(state);
Assert.assertEquals(finiteDifferencesJacobian.length, jacobian.length);
Assert.assertEquals(finiteDifferencesJacobian[0].length, jacobian[0].length);
for (int i = 0; i < jacobian.length; ++i) {
for (int j = 0; j < jacobian[i].length; ++j) {
final double relativeError = FastMath.abs((finiteDifferencesJacobian[i][j] - jacobian[i][j]) / finiteDifferencesJacobian[i][j]);
if (j < 3) {
errorsP[indexP++] = relativeError;
} else {
errorsV[indexV++] = relativeError;
}
}
}
}
// median errors
Assert.assertEquals(0.0, new Median().evaluate(errorsP), 2.1e-10);
Assert.assertEquals(0.0, new Median().evaluate(errorsV), 2.1e-10);
}
use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class RangeRateTest method testStateDerivativesWithModifier.
@Test
public void testStateDerivativesWithModifier() throws OrekitException {
Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
final NumericalPropagatorBuilder propagatorBuilder = context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true, 1.0e-6, 60.0, 0.001);
// create perfect range rate measurements
final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit, propagatorBuilder);
final List<ObservedMeasurement<?>> measurements = EstimationTestUtils.createMeasurements(propagator, new RangeRateMeasurementCreator(context, false), 1.0, 3.0, 300.0);
propagator.setSlaveMode();
double maxRelativeError = 0;
for (final ObservedMeasurement<?> measurement : measurements) {
final RangeRateTroposphericDelayModifier modifier = new RangeRateTroposphericDelayModifier(SaastamoinenModel.getStandardModel(), true);
((RangeRate) measurement).addModifier(modifier);
//
// final AbsoluteDate date = measurement.getDate();
// measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
final double meanDelay = 1;
final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
final SpacecraftState state = propagator.propagate(date);
final double[][] jacobian = measurement.estimate(0, 0, new SpacecraftState[] { state }).getStateDerivatives(0);
final double[][] finiteDifferencesJacobian = Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) throws OrekitException {
return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
}
}, 1, propagator.getAttitudeProvider(), OrbitType.CARTESIAN, PositionAngle.TRUE, 15.0, 3).value(state);
Assert.assertEquals(finiteDifferencesJacobian.length, jacobian.length);
Assert.assertEquals(finiteDifferencesJacobian[0].length, jacobian[0].length);
for (int i = 0; i < jacobian.length; ++i) {
for (int j = 0; j < jacobian[i].length; ++j) {
// check the values returned by getStateDerivatives() are correct
maxRelativeError = FastMath.max(maxRelativeError, FastMath.abs((finiteDifferencesJacobian[i][j] - jacobian[i][j]) / finiteDifferencesJacobian[i][j]));
}
}
}
Assert.assertEquals(0, maxRelativeError, 1.5e-7);
}
use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class RangeRateTest method testStateDerivativesTwoWays.
@Test
public void testStateDerivativesTwoWays() throws OrekitException {
Context context = EstimationTestUtils.eccentricContext("regular-data:potential:tides");
final NumericalPropagatorBuilder propagatorBuilder = context.createBuilder(OrbitType.KEPLERIAN, PositionAngle.TRUE, true, 1.0e-6, 60.0, 0.001);
// create perfect range rate measurements
final Propagator propagator = EstimationTestUtils.createPropagator(context.initialOrbit, propagatorBuilder);
final List<ObservedMeasurement<?>> measurements = EstimationTestUtils.createMeasurements(propagator, new RangeRateMeasurementCreator(context, true), 1.0, 3.0, 300.0);
for (final ObservedMeasurement<?> m : measurements) {
Assert.assertTrue(((RangeRate) m).isTwoWay());
}
propagator.setSlaveMode();
double maxRelativeError = 0;
for (final ObservedMeasurement<?> measurement : measurements) {
//
// final AbsoluteDate date = measurement.getDate();
// measurement.getObservedValue()[0] / Constants.SPEED_OF_LIGHT;
final double meanDelay = 1;
final AbsoluteDate date = measurement.getDate().shiftedBy(-0.75 * meanDelay);
final SpacecraftState state = propagator.propagate(date);
final EstimatedMeasurement<?> estimated = measurement.estimate(0, 0, new SpacecraftState[] { state });
Assert.assertEquals(3, estimated.getParticipants().length);
final double[][] jacobian = estimated.getStateDerivatives(0);
final double[][] finiteDifferencesJacobian = Differentiation.differentiate(new StateFunction() {
public double[] value(final SpacecraftState state) throws OrekitException {
return measurement.estimate(0, 0, new SpacecraftState[] { state }).getEstimatedValue();
}
}, 1, propagator.getAttitudeProvider(), OrbitType.CARTESIAN, PositionAngle.TRUE, 15.0, 3).value(state);
Assert.assertEquals(finiteDifferencesJacobian.length, jacobian.length);
Assert.assertEquals(finiteDifferencesJacobian[0].length, jacobian[0].length);
for (int i = 0; i < jacobian.length; ++i) {
for (int j = 0; j < jacobian[i].length; ++j) {
// check the values returned by getStateDerivatives() are correct
maxRelativeError = FastMath.max(maxRelativeError, FastMath.abs((finiteDifferencesJacobian[i][j] - jacobian[i][j]) / finiteDifferencesJacobian[i][j]));
}
}
}
Assert.assertEquals(0, maxRelativeError, 2.6e-5);
}
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