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    * 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
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    *
    *   http://www.apache.org/licenses/LICENSE-2.0
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   * Unless required by applicable law or agreed to in writing, software
   * distributed under the License is distributed on an "AS IS" BASIS,
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  package org.orekit.estimation.measurements.modifiers;
  
  import java.util.Arrays;
  import java.util.List;
  
  import org.hipparchus.CalculusFieldElement;
  import org.hipparchus.analysis.differentiation.Gradient;
  import org.orekit.attitudes.FrameAlignedProvider;
  import org.orekit.estimation.measurements.EstimatedMeasurement;
  import org.orekit.estimation.measurements.EstimatedMeasurementBase;
  import org.orekit.estimation.measurements.EstimationModifier;
  import org.orekit.estimation.measurements.GroundStation;
  import org.orekit.estimation.measurements.TurnAroundRange;
  import org.orekit.frames.TopocentricFrame;
  import org.orekit.models.earth.ionosphere.IonosphericModel;
  import org.orekit.propagation.FieldSpacecraftState;
  import org.orekit.propagation.SpacecraftState;
  import org.orekit.time.AbsoluteDate;
  import org.orekit.utils.Differentiation;
  import org.orekit.utils.ParameterDriver;
  import org.orekit.utils.ParameterFunction;
  import org.orekit.utils.TimeSpanMap.Span;
  
  /** Class modifying theoretical TurnAroundRange measurement with ionospheric delay.
   * <p>
   * The effect of ionospheric correction on the TurnAroundRange is directly computed
   * through the computation of the ionospheric delay.
   * </p>
   * <p>
   * The ionospheric delay depends on the frequency of the signal (GNSS, VLBI, ...).
   * For optical measurements (e.g. SLR), the ray is not affected by ionosphere charged particles.
   * </p>
   * <p>
   * Since 10.0, state derivatives and ionospheric parameters derivates are computed
   * using automatic differentiation.
   * </p>
   * @author Maxime Journot
   * @since 9.0
   */
  public class TurnAroundRangeIonosphericDelayModifier implements EstimationModifier<TurnAroundRange> {
  
      /** Ionospheric delay model. */
      private final IonosphericModel ionoModel;
  
      /** Frequency [Hz]. */
      private final double frequency;
  
      /** Constructor.
       *
       * @param model  Ionospheric delay model appropriate for the current TurnAroundRange measurement method.
       * @param freq frequency of the signal in Hz
       */
      public TurnAroundRangeIonosphericDelayModifier(final IonosphericModel model,
                                                     final double freq) {
          ionoModel = model;
          frequency = freq;
      }
  
      /** {@inheritDoc} */
      @Override
      public String getEffectName() {
          return "ionosphere";
      }
  
      /** Compute the measurement error due to ionosphere.
       * @param station station
       * @param state spacecraft state
       * @return the measurement error due to ionosphere
       */
      private double rangeErrorIonosphericModel(final GroundStation station,
                                                final SpacecraftState state) {
          // Base frame associated with the station
          final TopocentricFrame baseFrame = station.getBaseFrame();
          // Delay in meters
          return ionoModel.pathDelay(state, baseFrame, frequency, ionoModel.getParameters(state.getDate()));
      }
  
      /** Compute the measurement error due to ionosphere.
       * @param <T> type of the elements
       * @param station station
       * @param state spacecraft state
       * @param parameters ionospheric model parameters
       * @return the measurement error due to ionosphere
      */
     private <T extends CalculusFieldElement<T>> T rangeErrorIonosphericModel(final GroundStation station,
                                                                              final FieldSpacecraftState<T> state,
                                                                              final T[] parameters) {
         // Base frame associated with the station
         final TopocentricFrame baseFrame = station.getBaseFrame();
         // Delay in meters
         return ionoModel.pathDelay(state, baseFrame, frequency, parameters);
     }
 
     /** Compute the Jacobian of the delay term wrt state using
     * automatic differentiation.
     *
     * @param derivatives ionospheric delay derivatives
     *
     * @return Jacobian of the delay wrt state
     */
     private double[][] rangeErrorJacobianState(final double[] derivatives) {
         final double[][] finiteDifferencesJacobian = new double[1][6];
         System.arraycopy(derivatives, 0, finiteDifferencesJacobian[0], 0, 6);
         return finiteDifferencesJacobian;
     }
 
 
     /** Compute the derivative of the delay term wrt parameters.
      *
      * @param station ground station
      * @param driver driver for the station offset parameter
      * @param state spacecraft state
      * @return derivative of the delay wrt station offset parameter
      */
     private double rangeErrorParameterDerivative(final GroundStation station,
                                                  final ParameterDriver driver,
                                                  final SpacecraftState state) {
 
         final ParameterFunction rangeError = new ParameterFunction() {
             /** {@inheritDoc} */
             @Override
             public double value(final ParameterDriver parameterDriver, final AbsoluteDate date) {
                 return rangeErrorIonosphericModel(station, state);
             }
         };
 
         final ParameterFunction rangeErrorDerivative =
                         Differentiation.differentiate(rangeError, 3, 10.0 * driver.getScale());
 
         return rangeErrorDerivative.value(driver, state.getDate());
 
     }
 
     /** Compute the derivative of the delay term wrt parameters using
     * automatic differentiation.
     *
     * @param derivatives ionospheric delay derivatives
     * @param freeStateParameters dimension of the state.
     * @return derivative of the delay wrt ionospheric model parameters
     */
     private double[] rangeErrorParameterDerivative(final double[] derivatives, final int freeStateParameters) {
         // 0 ... freeStateParameters - 1 -> derivatives of the delay wrt state
         // freeStateParameters ... n     -> derivatives of the delay wrt ionospheric parameters
         return Arrays.copyOfRange(derivatives, freeStateParameters, derivatives.length);
     }
 
     /** {@inheritDoc} */
     @Override
     public List<ParameterDriver> getParametersDrivers() {
         return ionoModel.getParametersDrivers();
     }
 
     @Override
     public void modifyWithoutDerivatives(final EstimatedMeasurementBase<TurnAroundRange> estimated) {
 
         final TurnAroundRange measurement      = estimated.getObservedMeasurement();
         final GroundStation   primaryStation   = measurement.getPrimaryStation();
         final GroundStation   secondaryStation = measurement.getSecondaryStation();
         final SpacecraftState state            = estimated.getStates()[0];
 
         // Update estimated value taking into account the ionospheric delay.
         // The ionospheric delay is directly added to the TurnAroundRange.
         final double[] newValue     = estimated.getEstimatedValue();
         final double primaryDelay   = rangeErrorIonosphericModel(primaryStation, state);
         final double secondaryDelay = rangeErrorIonosphericModel(secondaryStation, state);
         newValue[0] = newValue[0] + primaryDelay + secondaryDelay;
         estimated.modifyEstimatedValue(this, newValue);
 
     }
 
     @Override
     public void modify(final EstimatedMeasurement<TurnAroundRange> estimated) {
         final TurnAroundRange measurement      = estimated.getObservedMeasurement();
         final GroundStation   primaryStation   = measurement.getPrimaryStation();
         final GroundStation   secondaryStation = measurement.getSecondaryStation();
         final SpacecraftState state            = estimated.getStates()[0];
 
         // Update estimated derivatives with Jacobian of the measure wrt state
         final ModifierGradientConverter converter =
                 new ModifierGradientConverter(state, 6, new FrameAlignedProvider(state.getFrame()));
         final FieldSpacecraftState<Gradient> gState = converter.getState(ionoModel);
         final Gradient[] gParameters        = converter.getParametersAtStateDate(gState, ionoModel);
         final Gradient primaryGDelay        = rangeErrorIonosphericModel(primaryStation, gState, gParameters);
         final Gradient secondaryGDelay      = rangeErrorIonosphericModel(secondaryStation, gState, gParameters);
         final double[] primaryDerivatives   = primaryGDelay.getGradient();
         final double[] secondaryDerivatives = secondaryGDelay.getGradient();
 
         final double[][] primaryDjac      = rangeErrorJacobianState(primaryDerivatives);
         final double[][] secondaryDjac    = rangeErrorJacobianState(secondaryDerivatives);
         final double[][] stateDerivatives = estimated.getStateDerivatives(0);
         for (int irow = 0; irow < stateDerivatives.length; ++irow) {
             for (int jcol = 0; jcol < stateDerivatives[0].length; ++jcol) {
                 stateDerivatives[irow][jcol] += primaryDjac[irow][jcol] + secondaryDjac[irow][jcol];
             }
         }
         estimated.setStateDerivatives(0, stateDerivatives);
 
         int indexPrimary = 0;
         for (final ParameterDriver driver : getParametersDrivers()) {
             if (driver.isSelected()) {
                 for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
                     // update estimated derivatives with derivative of the modification wrt ionospheric parameters
                     double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
                     final double[] derivatives = rangeErrorParameterDerivative(primaryDerivatives, converter.getFreeStateParameters());
                     parameterDerivative += derivatives[indexPrimary];
                     estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
                     indexPrimary += 1;
                 }
             }
 
         }
 
         int indexSecondary = 0;
         for (final ParameterDriver driver : getParametersDrivers()) {
             if (driver.isSelected()) {
                 for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
                     // update estimated derivatives with derivative of the modification wrt ionospheric parameters
                     double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
                     final double[] derivatives = rangeErrorParameterDerivative(secondaryDerivatives, converter.getFreeStateParameters());
                     parameterDerivative += derivatives[indexSecondary];
                     estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
                     indexSecondary += 1;
                 }
             }
 
         }
 
         // Update derivatives with respect to primary station position
         for (final ParameterDriver driver : Arrays.asList(primaryStation.getClockOffsetDriver(),
                                                           primaryStation.getEastOffsetDriver(),
                                                           primaryStation.getNorthOffsetDriver(),
                                                           primaryStation.getZenithOffsetDriver())) {
             if (driver.isSelected()) {
                 for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
 
                     double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
                     parameterDerivative += rangeErrorParameterDerivative(primaryStation, driver, state);
                     estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
                 }
             }
         }
 
         // Update derivatives with respect to secondary station position
         for (final ParameterDriver driver : Arrays.asList(secondaryStation.getEastOffsetDriver(),
                                                           secondaryStation.getNorthOffsetDriver(),
                                                           secondaryStation.getZenithOffsetDriver())) {
             if (driver.isSelected()) {
                 for (Span<String> span = driver.getNamesSpanMap().getFirstSpan(); span != null; span = span.next()) {
 
                     double parameterDerivative = estimated.getParameterDerivatives(driver, span.getStart())[0];
                     parameterDerivative += rangeErrorParameterDerivative(secondaryStation, driver, state);
                     estimated.setParameterDerivatives(driver, span.getStart(), parameterDerivative);
                 }
             }
         }
 
         // Update estimated value taking into account the ionospheric delay.
         // The ionospheric delay is directly added to the TurnAroundRange.
         final double[] newValue = estimated.getEstimatedValue();
         newValue[0] = newValue[0] + primaryGDelay.getReal() + secondaryGDelay.getReal();
         estimated.modifyEstimatedValue(this, newValue);
     }
 
 }