use of org.orekit.utils.StateFunction in project Orekit by CS-SI.
the class RangeTest method genericTestStateDerivatives.
void genericTestStateDerivatives(final boolean isModifier, 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");
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 RangeMeasurementCreator(context), 1.0, 3.0, 300.0);
// Lists for results' storage - Used only for derivatives with respect to state
// "final" value to be seen by "handleStep" function of the propagator
final List<Double> errorsP = new ArrayList<Double>();
final List<Double> errorsV = new ArrayList<Double>();
// Set master mode
// Use a lambda function to implement "handleStep" function
propagator.setMasterMode((OrekitStepInterpolator interpolator, boolean isLast) -> {
for (final ObservedMeasurement<?> measurement : measurements) {
// Play test if the measurement date is between interpolator previous and current date
if ((measurement.getDate().durationFrom(interpolator.getPreviousState().getDate()) > 0.) && (measurement.getDate().durationFrom(interpolator.getCurrentState().getDate()) <= 0.)) {
// Add modifiers if test implies it
final RangeTroposphericDelayModifier modifier = new RangeTroposphericDelayModifier(SaastamoinenModel.getStandardModel());
if (isModifier) {
((Range) 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 = interpolator.getInterpolatedState(date);
final double[][] jacobian = measurement.estimate(0, 0, new SpacecraftState[] { state }).getStateDerivatives(0);
// Jacobian reference value
final double[][] jacobianRef;
// 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);
Assert.assertEquals(jacobianRef.length, jacobian.length);
Assert.assertEquals(jacobianRef[0].length, jacobian[0].length);
// Errors & relative errors on the Jacobian
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.add(dJacobianRelative[i][j]);
} else {
errorsV.add(dJacobianRelative[i][j]);
}
}
}
// Print values in console ?
if (printResults) {
String stationName = ((Range) measurement).getStation().getBaseFrame().getName();
System.out.format(Locale.US, "%-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", stationName, 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 if measurement date between previous and current interpolator step
}
// End for loop on the measurements
});
// Print results on console ?
if (printResults) {
System.out.format(Locale.US, "%-15s %-23s %-23s " + "%10s %10s %10s " + "%10s %10s %10s " + "%10s %10s %10s " + "%10s %10s %10s%n", "Station", "Measurement Date", "State Date", "ΔdPx", "ΔdPy", "ΔdPz", "ΔdVx", "ΔdVy", "ΔdVz", "rel ΔdPx", "rel ΔdPy", "rel ΔdPz", "rel ΔdVx", "rel ΔdVy", "rel ΔdVz");
}
// Rewind the propagator to initial date
propagator.propagate(context.initialOrbit.getDate());
// Sort measurements chronologically
measurements.sort(new ChronologicalComparator());
// Propagate to final measurement's date
propagator.propagate(measurements.get(measurements.size() - 1).getDate());
// Convert lists to double[] and evaluate some statistics
final double[] relErrorsP = errorsP.stream().mapToDouble(Double::doubleValue).toArray();
final double[] relErrorsV = errorsV.stream().mapToDouble(Double::doubleValue).toArray();
final double errorsPMedian = new Median().evaluate(relErrorsP);
final double errorsPMean = new Mean().evaluate(relErrorsP);
final double errorsPMax = new Max().evaluate(relErrorsP);
final double errorsVMedian = new Median().evaluate(relErrorsV);
final double errorsVMean = new Mean().evaluate(relErrorsV);
final double errorsVMax = new Max().evaluate(relErrorsV);
// Print the results on console ?
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.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);
}
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