Moved duplicated methods into one utility class.

src/main/java/org/orekit/models/earth/troposphere/GlobalMappingFunctionModel.java

@@ -166,11 +166,11 @@ public class GlobalMappingFunctionModel implements MappingFunction {
         final double aw = a0Wet + amplWet * FastMath.cos(coef - psi);
 
         final double[] function = new double[2];
-        function[0] = computeFunction(ah, bh, ch, elevation);
-        function[1] = computeFunction(aw, bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(ah, bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(aw, bw, cw, elevation);
 
         // Apply height correction
-        final double correction = computeHeightCorrection(elevation, point.getAltitude());
+        final double correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude());
         function[0] = function[0] + correction;
 
         return function;
@@ -265,11 +265,11 @@ public class GlobalMappingFunctionModel implements MappingFunction {
         final T aw = a0Wet.add(amplWet.multiply(FastMath.cos(coef.subtract(psi))));
 
         final T[] function = MathArrays.buildArray(field, 2);
-        function[0] = computeFunction(ah, bh, ch, elevation);
-        function[1] = computeFunction(aw, bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(ah, bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(aw, bw, cw, elevation);
 
         // Apply height correction
-        final T correction = computeHeightCorrection(elevation, point.getAltitude(), field);
+        final T correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude(), field);
         function[0] = function[0].add(correction);
 
         return function;
@@ -281,96 +281,6 @@ public class GlobalMappingFunctionModel implements MappingFunction {
         return Collections.emptyList();
     }
 
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private double computeFunction(final double a, final double b, final double c, final double elevation) {
-        final double sinE = FastMath.sin(elevation);
-        // Numerator
-        final double numMP = 1 + a / (1 + b / (1 + c));
-        // Denominator
-        final double denMP = sinE + a / (sinE + b / (sinE + c));
-
-        final double fElevation = numMP / denMP;
-
-        return fElevation;
-    }
-
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param <T> type of the elements
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
-        final T sinE = FastMath.sin(elevation);
-        // Numerator
-        final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
-        // Denominator
-        final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
-
-        final T fElevation = numMP.divide(denMP);
-
-        return fElevation;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function.
-     *  The formulas are given by Neill's paper, 1996:
-     *<p>
-     *      Niell A. E. (1996)
-     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
-     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
-     *</p>
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @return the height correction, in m
-     */
-    private double computeHeightCorrection(final double elevation, final double height) {
-        final double fixedHeight = FastMath.max(0.0, height);
-        final double sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
-        // Ref: Eq. 6
-        final double dmdh = (1 / sinE) - function;
-        // Ref: Eq. 7
-        final double correction = dmdh * (fixedHeight / 1000.0);
-        return correction;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function.
-     *  The formulas are given by Neill's paper, 1996:
-     *<p>
-     *      Niell A. E. (1996)
-     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
-     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
-     *</p>
-     * @param <T> type of the elements
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @param field field to which the elements belong
-     * @return the height correction, in m
-     */
-    private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
-        final T zero = field.getZero();
-        final T fixedHeight = FastMath.max(zero, height);
-        final T sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
-        // Ref: Eq. 6
-        final T dmdh = sinE.reciprocal().subtract(function);
-        // Ref: Eq. 7
-        final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
-        return correction;
-    }
-
     /** Computes the P<sub>nm</sub>(sin(&#934)) coefficients of Eq. 3 (Boehm et al, 2006).
      *  The computation of the Legendre polynomials is performed following:
      *  Heiskanen and Moritz, Physical Geodesy, 1967, eq. 1-62

src/main/java/org/orekit/models/earth/troposphere/NiellMappingFunctionModel.java

@@ -192,13 +192,13 @@ public class NiellMappingFunctionModel implements MappingFunction {
         final double[] function = new double[2];
 
         // Hydrostatic mapping factor
-        function[0] = computeFunction(ah, bh, ch, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(ah, bh, ch, elevation);
 
         // Wet mapping factor
-        function[1] = computeFunction(awFunction.value(absLatidude), bwFunction.value(absLatidude), cwFunction.value(absLatidude), elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(awFunction.value(absLatidude), bwFunction.value(absLatidude), cwFunction.value(absLatidude), elevation);
 
         // Apply height correction
-        final double correction = computeHeightCorrection(elevation, point.getAltitude());
+        final double correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude());
         function[0] = function[0] + correction;
 
         return function;
@@ -237,100 +237,23 @@ public class NiellMappingFunctionModel implements MappingFunction {
         final T[] function = MathArrays.buildArray(field, 2);
 
         // Hydrostatic mapping factor
-        function[0] = computeFunction(ah, bh, ch, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(ah, bh, ch, elevation);
 
         // Wet mapping factor
-        function[1] = computeFunction(zero.add(awFunction.value(absLatidude)), zero.add(bwFunction.value(absLatidude)),
-                                      zero.add(cwFunction.value(absLatidude)), elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(zero.add(awFunction.value(absLatidude)), zero.add(bwFunction.value(absLatidude)),
+                                                             zero.add(cwFunction.value(absLatidude)), elevation);
 
         // Apply height correction
-        final T correction = computeHeightCorrection(elevation, point.getAltitude(), field);
+        final T correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude(), field);
         function[0] = function[0].add(correction);
 
         return function;
     }
 
+    /** {@inheritDoc} */
     @Override
     public List<ParameterDriver> getParametersDrivers() {
         return Collections.emptyList();
     }
 
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private double computeFunction(final double a, final double b, final double c, final double elevation) {
-        final double sinE = FastMath.sin(elevation);
-        // Numerator
-        final double numMP = 1 + a / (1 + b / (1 + c));
-        // Denominator
-        final double denMP = sinE + a / (sinE + b / (sinE + c));
-
-        final double felevation = numMP / denMP;
-
-        return felevation;
-    }
-
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param <T> type of the elements
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
-        final T sinE = FastMath.sin(elevation);
-        // Numerator
-        final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
-        // Denominator
-        final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
-
-        final T felevation = numMP.divide(denMP);
-
-        return felevation;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function (Neill, 1996).
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @return the height correction, in m
-     */
-    private double computeHeightCorrection(final double elevation, final double height) {
-        final double fixedHeight = FastMath.max(0.0, height);
-        final double sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
-        // Ref: Eq. 6
-        final double dmdh = (1 / sinE) - function;
-        // Ref: Eq. 7
-        final double correction = dmdh * (fixedHeight / 1000.0);
-        return correction;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function (Neill, 1996).
-     * @param <T> type of the elements
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @param field field to which the elements belong
-     * @return the height correction, in m
-     */
-    private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
-        final T zero = field.getZero();
-        final T fixedHeight = FastMath.max(zero, height);
-        final T sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
-        // Ref: Eq. 6
-        final T dmdh = sinE.reciprocal().subtract(function);
-        // Ref: Eq. 7
-        final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
-        return correction;
-    }
-
 }

src/main/java/org/orekit/models/earth/troposphere/TroposphericModelUtils.java

+/* Copyright 2002-2021 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
+ * limitations under the License.
+ */
+package org.orekit.models.earth.troposphere;
+
+import org.hipparchus.Field;
+import org.hipparchus.RealFieldElement;
+import org.hipparchus.util.FastMath;
+
+/**
+ * Utility class for tropospheric models.
+ * @author Bryan Cazabonne
+ * @since 11.0
+ */
+public class TroposphericModelUtils {
+
+    /**
+     * Private constructor as class is a utility.
+     */
+    private TroposphericModelUtils() {
+        // Nothing to do
+    }
+
+    /** Compute the mapping function related to the coefficient values and the elevation.
+     * @param a a coefficient
+     * @param b b coefficient
+     * @param c c coefficient
+     * @param elevation the elevation of the satellite, in radians.
+     * @return the value of the function at a given elevation
+     */
+    public static double mappingFunction(final double a, final double b, final double c, final double elevation) {
+        final double sinE = FastMath.sin(elevation);
+        // Numerator
+        final double numMP = 1 + a / (1 + b / (1 + c));
+        // Denominator
+        final double denMP = sinE + a / (sinE + b / (sinE + c));
+
+        final double fElevation = numMP / denMP;
+
+        return fElevation;
+    }
+
+    /** Compute the mapping function related to the coefficient values and the elevation.
+     * @param <T> type of the elements
+     * @param a a coefficient
+     * @param b b coefficient
+     * @param c c coefficient
+     * @param elevation the elevation of the satellite, in radians.
+     * @return the value of the function at a given elevation
+     */
+    public static <T extends RealFieldElement<T>> T mappingFunction(final T a, final T b, final T c, final T elevation) {
+        final T sinE = FastMath.sin(elevation);
+        // Numerator
+        final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
+        // Denominator
+        final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
+
+        final T fElevation = numMP.divide(denMP);
+
+        return fElevation;
+    }
+
+    /** This method computes the height correction for the hydrostatic
+     *  component of the mapping function.
+     *  The formulas are given by Neill's paper, 1996:
+     *<p>
+     *      Niell A. E. (1996)
+     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
+     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
+     *</p>
+     * @param elevation the elevation of the satellite, in radians.
+     * @param height the height of the station in m above sea level.
+     * @return the height correction, in m
+     */
+    public static double computeHeightCorrection(final double elevation, final double height) {
+        final double fixedHeight = FastMath.max(0.0, height);
+        final double sinE = FastMath.sin(elevation);
+        // Ref: Eq. 4
+        final double function = TroposphericModelUtils.mappingFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
+        // Ref: Eq. 6
+        final double dmdh = (1 / sinE) - function;
+        // Ref: Eq. 7
+        final double correction = dmdh * (fixedHeight / 1000.0);
+        return correction;
+    }
+
+    /** This method computes the height correction for the hydrostatic
+     *  component of the mapping function.
+     *  The formulas are given by Neill's paper, 1996:
+     *<p>
+     *      Niell A. E. (1996)
+     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
+     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
+     *</p>
+     * @param <T> type of the elements
+     * @param elevation the elevation of the satellite, in radians.
+     * @param height the height of the station in m above sea level.
+     * @param field field to which the elements belong
+     * @return the height correction, in m
+     */
+    public static <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
+        final T zero = field.getZero();
+        final T fixedHeight = FastMath.max(zero, height);
+        final T sinE = FastMath.sin(elevation);
+        // Ref: Eq. 4
+        final T function = TroposphericModelUtils.mappingFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
+        // Ref: Eq. 6
+        final T dmdh = sinE.reciprocal().subtract(function);
+        // Ref: Eq. 7
+        final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
+        return correction;
+    }
+
+}

src/main/java/org/orekit/models/earth/troposphere/ViennaOneModel.java

@@ -176,11 +176,11 @@ public class ViennaOneModel implements DiscreteTroposphericModel {
         final double cw = 0.04391;
 
         final double[] function = new double[2];
-        function[0] = computeFunction(coefficientsA[0], bh, ch, elevation);
-        function[1] = computeFunction(coefficientsA[1], bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(coefficientsA[0], bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(coefficientsA[1], bw, cw, elevation);
 
         // Apply height correction
-        final double correction = computeHeightCorrection(elevation, point.getAltitude());
+        final double correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude());
         function[0] = function[0] + correction;
 
         return function;
@@ -233,11 +233,11 @@ public class ViennaOneModel implements DiscreteTroposphericModel {
         final T cw = zero.add(0.04391);
 
         final T[] function = MathArrays.buildArray(field, 2);
-        function[0] = computeFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
-        function[1] = computeFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
 
         // Apply height correction
-        final T correction = computeHeightCorrection(elevation, point.getAltitude(), field);
+        final T correction = TroposphericModelUtils.computeHeightCorrection(elevation, point.getAltitude(), field);
         function[0] = function[0].add(correction);
 
         return function;
@@ -249,94 +249,4 @@ public class ViennaOneModel implements DiscreteTroposphericModel {
         return Collections.emptyList();
     }
 
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private double computeFunction(final double a, final double b, final double c, final double elevation) {
-        final double sinE = FastMath.sin(elevation);
-        // Numerator
-        final double numMP = 1 + a / (1 + b / (1 + c));
-        // Denominator
-        final double denMP = sinE + a / (sinE + b / (sinE + c));
-
-        final double felevation = numMP / denMP;
-
-        return felevation;
-    }
-
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param <T> type of the elements
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
-        final T sinE = FastMath.sin(elevation);
-        // Numerator
-        final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
-        // Denominator
-        final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);
-
-        final T felevation = numMP.divide(denMP);
-
-        return felevation;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function.
-     *  The formulas are given by Neill's paper, 1996:
-     *<p>
-     *      Niell A. E. (1996)
-     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
-     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
-     *</p>
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @return the height correction, in m
-     */
-    private double computeHeightCorrection(final double elevation, final double height) {
-        final double fixedHeight = FastMath.max(0.0, height);
-        final double sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final double function = computeFunction(2.53e-5, 5.49e-3, 1.14e-3, elevation);
-        // Ref: Eq. 6
-        final double dmdh = (1 / sinE) - function;
-        // Ref: Eq. 7
-        final double correction = dmdh * (fixedHeight / 1000);
-        return correction;
-    }
-
-    /** This method computes the height correction for the hydrostatic
-     *  component of the mapping function.
-     *  The formulas are given by Neill's paper, 1996:
-     *<p>
-     *      Niell A. E. (1996)
-     *      "Global mapping functions for the atmosphere delay of radio wavelengths,”
-     *      J. Geophys. Res., 101(B2), pp.  3227–3246, doi:  10.1029/95JB03048.
-     *</p>
-     * @param <T> type of the elements
-     * @param elevation the elevation of the satellite, in radians.
-     * @param height the height of the station in m above sea level.
-     * @param field field to which the elements belong
-     * @return the height correction, in m
-     */
-    private <T extends RealFieldElement<T>> T computeHeightCorrection(final T elevation, final T height, final Field<T> field) {
-        final T zero = field.getZero();
-        final T fixedHeight = FastMath.max(zero, height);
-        final T sinE = FastMath.sin(elevation);
-        // Ref: Eq. 4
-        final T function = computeFunction(zero.add(2.53e-5), zero.add(5.49e-3), zero.add(1.14e-3), elevation);
-        // Ref: Eq. 6
-        final T dmdh = sinE.reciprocal().subtract(function);
-        // Ref: Eq. 7
-        final T correction = dmdh.multiply(fixedHeight.divide(1000.0));
-        return correction;
-    }
-
 }

src/main/java/org/orekit/models/earth/troposphere/ViennaThreeModel.java

@@ -173,8 +173,8 @@ public class ViennaThreeModel implements DiscreteTroposphericModel {
 
         // Compute Mapping Function Eq. 4
         final double[] function = new double[2];
-        function[0] = computeFunction(coefficientsA[0], bh, ch, elevation);
-        function[1] = computeFunction(coefficientsA[1], bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(coefficientsA[0], bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(coefficientsA[1], bw, cw, elevation);
 
         return function;
     }
@@ -261,8 +261,8 @@ public class ViennaThreeModel implements DiscreteTroposphericModel {
 
         // Compute Mapping Function Eq. 4
         final T[] function = MathArrays.buildArray(field, 2);
-        function[0] = computeFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
-        function[1] = computeFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
+        function[0] = TroposphericModelUtils.mappingFunction(zero.add(coefficientsA[0]), bh, ch, elevation);
+        function[1] = TroposphericModelUtils.mappingFunction(zero.add(coefficientsA[1]), bw, cw, elevation);
 
         return function;
     }
@@ -315,45 +315,6 @@ public class ViennaThreeModel implements DiscreteTroposphericModel {
         return Collections.emptyList();
     }
 
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private double computeFunction(final double a, final double b, final double c, final double elevation) {
-        final double sinE = FastMath.sin(elevation);
-        // Numerator
-        final double numMP = 1 + a / (1 + b / (1 + c));
-        // Denominator
-        final double denMP = sinE + a / (sinE + b / (sinE + c));
-
-        final double felevation = numMP / denMP;
-
-        return felevation;
-    }
-
-    /** Compute the mapping function related to the coefficient values and the elevation.
-     * @param <T> type of the elements
-     * @param a a coefficient
-     * @param b b coefficient
-     * @param c c coefficient
-     * @param elevation the elevation of the satellite, in radians.
-     * @return the value of the function at a given elevation
-     */
-    private <T extends RealFieldElement<T>> T computeFunction(final T a, final T b, final T c, final T elevation) {
-        final T sinE = FastMath.sin(elevation);
-        // Numerator
-        final T numMP = a.divide(b.divide(c.add(1.0)).add(1.0)).add(1.0);
-        // Denominator
-        final T denMP = a.divide(b.divide(c.add(sinE)).add(sinE)).add(sinE);