LCOV - code coverage report
Current view: top level - math - FGLocation.h (source / functions) Hit Total Coverage
Test: JSBSim-Coverage-Statistics Lines: 59 63 93.7 %
Date: 2010-08-24 Functions: 4 4 100.0 %
Legend: Lines: hit not hit | Branches: + taken - not taken # not executed Branches: 21 97 21.6 %

           Branch data     Line data    Source code
       1                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       2                 :            : 
       3                 :            :  Header:       FGLocation.h
       4                 :            :  Author:       Jon S. Berndt, Mathias Froehlich
       5                 :            :  Date started: 04/04/2004
       6                 :            : 
       7                 :            :  ------- Copyright (C) 1999  Jon S. Berndt (jon@jsbsim.org) ------------------
       8                 :            :  -------           (C) 2004  Mathias Froehlich (Mathias.Froehlich@web.de) ----
       9                 :            : 
      10                 :            :  This program is free software; you can redistribute it and/or modify it under
      11                 :            :  the terms of the GNU Lesser General Public License as published by the Free Software
      12                 :            :  Foundation; either version 2 of the License, or (at your option) any later
      13                 :            :  version.
      14                 :            : 
      15                 :            :  This program is distributed in the hope that it will be useful, but WITHOUT
      16                 :            :  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
      17                 :            :  FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public License for more
      18                 :            :  details.
      19                 :            : 
      20                 :            :  You should have received a copy of the GNU Lesser General Public License along with
      21                 :            :  this program; if not, write to the Free Software Foundation, Inc., 59 Temple
      22                 :            :  Place - Suite 330, Boston, MA  02111-1307, USA.
      23                 :            : 
      24                 :            :  Further information about the GNU Lesser General Public License can also be found on
      25                 :            :  the world wide web at http://www.gnu.org.
      26                 :            : 
      27                 :            : HISTORY
      28                 :            : -------------------------------------------------------------------------------
      29                 :            : 04/04/2004   MF   Created from code previously in the old positions class.
      30                 :            : 
      31                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      32                 :            : SENTRY
      33                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      34                 :            : 
      35                 :            : #ifndef FGLOCATION_H
      36                 :            : #define FGLOCATION_H
      37                 :            : 
      38                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      39                 :            : INCLUDES
      40                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      41                 :            : 
      42                 :            : #include "FGJSBBase.h"
      43                 :            : #include "input_output/FGPropertyManager.h"
      44                 :            : #include "FGColumnVector3.h"
      45                 :            : #include "FGMatrix33.h"
      46                 :            : 
      47                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      48                 :            : DEFINITIONS
      49                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      50                 :            : 
      51                 :            : #define ID_LOCATION "$Id: FGLocation.h,v 1.24 2010/08/25 00:32:32 jberndt Exp $"
      52                 :            : 
      53                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      54                 :            : FORWARD DECLARATIONS
      55                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      56                 :            : 
      57                 :            : namespace JSBSim {
      58                 :            : 
      59                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      60                 :            : CLASS DOCUMENTATION
      61                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      62                 :            : 
      63                 :            : /** FGLocation holds an arbitrary location in the Earth centered Earth fixed
      64                 :            :     reference frame (ECEF). This coordinate frame has its center in the middle
      65                 :            :     of the earth. The X-axis points from the center of the Earth towards a
      66                 :            :     location with zero latitude and longitude on the Earth surface. The Y-axis
      67                 :            :     points from the center of the Earth towards a location with zero latitude
      68                 :            :     and 90 deg East longitude on the Earth surface. The Z-axis points from the
      69                 :            :     Earth center to the geographic north pole.
      70                 :            : 
      71                 :            :     This class provides access functions to set and get the location as either
      72                 :            :     the simple X, Y and Z values in ft or longitude/latitude and the radial
      73                 :            :     distance of the location from the Earth center.
      74                 :            : 
      75                 :            :     It is common to associate a parent frame with a location. This frame is
      76                 :            :     usually called the local horizontal frame or simply the local frame. It is
      77                 :            :     also called the NED frame (North, East, Down), as well as the Navigation
      78                 :            :     frame. This frame has its X/Y plane parallel to the surface of the Earth
      79                 :            :     (with the assumption of a spherical Earth). The X-axis points towards north,
      80                 :            :     the Y-axis points east and the Z-axis points to the center of the Earth.
      81                 :            : 
      82                 :            :     Since the local frame is determined by the location (and NOT by the
      83                 :            :     orientation of the  vehicle IN any frame), this class also provides the
      84                 :            :     rotation matrices required to transform from the Earth centered (ECEF) frame
      85                 :            :     to the local horizontal frame and back. This class also "owns" the
      86                 :            :     transformations that go from the inertial frame (Earth-centered Inertial, or
      87                 :            :     ECI) to and from the ECEF frame, as well as to and from the local frame.
      88                 :            :     Again, this is because the ECI, ECEF, and local frames do not involve the
      89                 :            :     actual orientation of the vehicle - only the location on the Earth surface,
      90                 :            :     and the angular difference between the ECI and ECEF frames. There are
      91                 :            :     conversion functions for conversion of position vectors given in the one
      92                 :            :     frame to positions in the other frame.
      93                 :            : 
      94                 :            :     The Earth centered reference frame is NOT an inertial frame since it rotates
      95                 :            :     with the Earth.
      96                 :            : 
      97                 :            :     The coordinates in the Earth centered frame are the master values. All other
      98                 :            :     values are computed from these master values and are cached as long as the
      99                 :            :     location is changed by access through a non-const member function. Values
     100                 :            :     are cached to improve performance. It is best practice to work with a
     101                 :            :     natural set of master values. Other parameters that are derived from these
     102                 :            :     master values are calculated only when needed, and IF they are needed and
     103                 :            :     calculated, then they are cached (stored and remembered) so they do not need
     104                 :            :     to be re-calculated until the master values they are derived from are
     105                 :            :     themselves changed (and become stale).
     106                 :            : 
     107                 :            :     Accuracy and round off
     108                 :            : 
     109                 :            :     Given,
     110                 :            : 
     111                 :            :     -that we model a vehicle near the Earth
     112                 :            :     -that the Earth surface radius is about 2*10^7, ft
     113                 :            :     -that we use double values for the representation of the location
     114                 :            :     
     115                 :            :     we have an accuracy of about
     116                 :            :     
     117                 :            :     1e-16*2e7ft/1 = 2e-9 ft
     118                 :            :     
     119                 :            :     left. This should be sufficient for our needs. Note that this is the same
     120                 :            :     relative accuracy we would have when we compute directly with
     121                 :            :     lon/lat/radius. For the radius value this is clear. For the lon/lat pair
     122                 :            :     this is easy to see. Take for example KSFO located at about 37.61 deg north
     123                 :            :     122.35 deg west, which corresponds to 0.65642 rad north and 2.13541 rad
     124                 :            :     west. Both values are of magnitude of about 1. But 1 ft corresponds to about
     125                 :            :     1/(2e7*2*pi) = 7.9577e-09 rad. So the left accuracy with this representation
     126                 :            :     is also about 1*1e-16/7.9577e-09 = 1.2566e-08 which is of the same magnitude
     127                 :            :     as the representation chosen here.
     128                 :            : 
     129                 :            :     The advantage of this representation is that it is a linear space without
     130                 :            :     singularities. The singularities are the north and south pole and most
     131                 :            :     notably the non-steady jump at -pi to pi. It is harder to track this jump
     132                 :            :     correctly especially when we need to work with error norms and derivatives
     133                 :            :     of the equations of motion within the time-stepping code. Also, the rate of
     134                 :            :     change is of the same magnitude for all components in this representation
     135                 :            :     which is an advantage for numerical stability in implicit time-stepping.
     136                 :            : 
     137                 :            :     Note: The latitude is a GEOCENTRIC value. FlightGear converts latitude to a
     138                 :            :     geodetic value and uses that. In order to get best matching relative to a
     139                 :            :     map, geocentric latitude must be converted to geodetic.
     140                 :            : 
     141                 :            :     @see Stevens and Lewis, "Aircraft Control and Simulation", Second edition
     142                 :            :     @see W. C. Durham "Aircraft Dynamics & Control", section 2.2
     143                 :            : 
     144                 :            :     @author Mathias Froehlich
     145                 :            :     @version $Id: FGLocation.h,v 1.24 2010/08/25 00:32:32 jberndt Exp $
     146                 :            :   */
     147                 :            : 
     148                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     149                 :            : CLASS DECLARATION
     150                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
     151                 :            : 
     152                 :            : class FGLocation : virtual FGJSBBase
     153 [ +  - ][ #  # ]:     108014 : {
         [ +  - ][ #  # ]
         [ #  # ][ #  # ]
            [ #  # ][ # ]
         [ #  # ][ #  # ]
         [ #  # ][ #  # ]
         [ #  # ][ #  # ]
         [ #  # ][ +  - ]
         [ #  # ][ #  # ]
         [ #  # ][ #  # ]
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         [ #  # ][ #  # ]
         [ #  # ][ #  # ]
     154                 :            : public:
     155                 :            :   /** Default constructor. */
     156                 :            :   FGLocation(void);
     157                 :            : 
     158                 :            :   /** Constructor to set the longitude, latitude and the distance
     159                 :            :       from the center of the earth.
     160                 :            :       @param lon longitude
     161                 :            :       @param lat GEOCENTRIC latitude
     162                 :            :       @param radius distance from center of earth to vehicle in feet*/
     163                 :            :   FGLocation(double lon, double lat, double radius);
     164                 :            : 
     165                 :            :   /** Column constructor. */
     166                 :     108011 :   FGLocation(const FGColumnVector3& lv) : mECLoc(lv), mCacheValid(false)
     167                 :            :   {
     168                 :     108011 :     a = 0.0;
     169                 :     108011 :     b = 0.0;
     170                 :     108011 :     a2 = 0.0;
     171                 :     108011 :     b2 = 0.0;
     172                 :     108011 :     e2 = 1.0;
     173                 :     108011 :     e = 1.0;
     174                 :     108011 :     eps2 = -1.0;
     175                 :     108011 :     f = 1.0;
     176                 :          0 :   }
     177                 :            : 
     178                 :            :   /** Copy constructor. */
     179                 :            :   FGLocation(const FGLocation& l)
     180                 :            :     : mECLoc(l.mECLoc), mCacheValid(l.mCacheValid)
     181                 :            :   {
     182                 :            : //    if (!mCacheValid) return; // This doesn't seem right.
     183                 :            : 
     184                 :            :     mLon = l.mLon;
     185                 :            :     mLat = l.mLat;
     186                 :            :     mRadius = l.mRadius;
     187                 :            : 
     188                 :            :     mTl2ec = l.mTl2ec;
     189                 :            :     mTec2l = l.mTec2l;
     190                 :            : 
     191                 :            :     a = l.a;
     192                 :            :     b = l.b;
     193                 :            :     a2 = l.a2;
     194                 :            :     b2 = l.b2;
     195                 :            :     e2 = l.e2;
     196                 :            :     e = l.e;
     197                 :            :     eps2 = l.eps2;
     198                 :            :     f = l.f;
     199                 :            : 
     200                 :            :     initial_longitude = l.initial_longitude;
     201                 :            :   }
     202                 :            : 
     203                 :            :   /** Set the longitude.
     204                 :            :       @param longitude Longitude in rad to set.
     205                 :            :       Sets the longitude of the location represented with this class
     206                 :            :       instance to the value of the given argument. The value is meant
     207                 :            :       to be in rad. The latitude and the radius value are preserved
     208                 :            :       with this call with the exception of radius being equal to
     209                 :            :       zero. If the radius is previously set to zero it is changed to be
     210                 :            :       equal to 1.0 past this call. Longitude is positive east and negative west. */
     211                 :            :   void SetLongitude(double longitude);
     212                 :            : 
     213                 :            :   /** Set the latitude.
     214                 :            :       @param latitude Latitude in rad to set.
     215                 :            :       Sets the latitude of the location represented with this class
     216                 :            :       instance to the value of the given argument. The value is meant
     217                 :            :       to be in rad. The longitude and the radius value are preserved
     218                 :            :       with this call with the exception of radius being equal to
     219                 :            :       zero. If the radius is previously set to zero it is changed to be
     220                 :            :       equal to 1.0 past this call.
     221                 :            :       Latitude is positive north and negative south.
     222                 :            :       The arguments should be within the bounds of -pi/2 <= lat <= pi/2.
     223                 :            :       The behavior of this function with arguments outside this range is
     224                 :            :       left as an exercise to the gentle reader ... */
     225                 :            :   void SetLatitude(double latitude);
     226                 :            : 
     227                 :            :   /** Set the distance from the center of the earth.
     228                 :            :       @param radius Radius in ft to set.
     229                 :            :       Sets the radius of the location represented with this class
     230                 :            :       instance to the value of the given argument. The value is meant
     231                 :            :       to be in ft. The latitude and longitude values are preserved
     232                 :            :       with this call with the exception of radius being equal to
     233                 :            :       zero. If the radius is previously set to zero, latitude and
     234                 :            :       longitude is set equal to zero past this call.
     235                 :            :       The argument should be positive.
     236                 :            :       The behavior of this function called with a negative argument is
     237                 :            :       left as an exercise to the gentle reader ... */
     238                 :            :   void SetRadius(double radius);
     239                 :            : 
     240                 :            :   /** Sets the longitude, latitude and the distance from the center of the earth.
     241                 :            :       @param lon longitude in radians
     242                 :            :       @param lat GEOCENTRIC latitude in radians
     243                 :            :       @param radius distance from center of earth to vehicle in feet*/
     244                 :            :   void SetPosition(double lon, double lat, double radius);
     245                 :            : 
     246                 :            :   /** Sets the longitude, latitude and the distance above the reference ellipsoid.
     247                 :            :       @param lon longitude in radians
     248                 :            :       @param lat GEODETIC latitude in radians
     249                 :            :       @param height distance above the reference ellipsoid to vehicle in feet*/
     250                 :            :   void SetPositionGeodetic(double lon, double lat, double height);
     251                 :            : 
     252                 :            :   /** Sets the semimajor and semiminor axis lengths for this planet.
     253                 :            :       The eccentricity and flattening are calculated from the semimajor
     254                 :            :       and semiminor axis lengths */
     255                 :            :   void SetEllipse(double semimajor, double semiminor);
     256                 :            : 
     257                 :            :   /** Sets the Earth position angle.
     258                 :            :       This is the relative orientation of the ECEF frame with respect to the
     259                 :            :       Inertial frame.
     260                 :            :       @param EPA Earth fixed frame (ECEF) rotation offset about the axis with
     261                 :            :                  respect to the Inertial (ECI) frame in radians. */
     262                 :      54006 :   void SetEarthPositionAngle(double EPA) {epa = EPA; mCacheValid = false; ComputeDerived();}
     263                 :            : 
     264                 :            :   /** Get the longitude.
     265                 :            :       @return the longitude in rad of the location represented with this
     266                 :            :       class instance. The returned values are in the range between
     267                 :            :       -pi <= lon <= pi. Longitude is positive east and negative west. */
     268                 :      54006 :   double GetLongitude() const { ComputeDerived(); return mLon; }
     269                 :            : 
     270                 :            :   /** Get the longitude.
     271                 :            :       @return the longitude in deg of the location represented with this
     272                 :            :       class instance. The returned values are in the range between
     273                 :            :       -180 <= lon <= 180.  Longitude is positive east and negative west. */
     274                 :       4911 :   double GetLongitudeDeg() const { ComputeDerived(); return radtodeg*mLon; }
     275                 :            : 
     276                 :            :   /** Get the sine of Longitude. */
     277                 :            :   double GetSinLongitude() const { ComputeDerived(); return -mTec2l(2,1); }
     278                 :            : 
     279                 :            :   /** Get the cosine of Longitude. */
     280                 :            :   double GetCosLongitude() const { ComputeDerived(); return mTec2l(2,2); }
     281                 :            : 
     282                 :            :   /** Get the latitude.
     283                 :            :       @return the latitude in rad of the location represented with this
     284                 :            :       class instance. The returned values are in the range between
     285                 :            :       -pi/2 <= lon <= pi/2. Latitude is positive north and negative south. */
     286                 :     108012 :   double GetLatitude() const { ComputeDerived(); return mLat; }
     287                 :            : 
     288                 :            :   /** Get the geodetic latitude.
     289                 :            :       @return the geodetic latitude in rad of the location represented with this
     290                 :            :       class instance. The returned values are in the range between
     291                 :            :       -pi/2 <= lon <= pi/2. Latitude is positive north and negative south. */
     292                 :          1 :   double GetGeodLatitudeRad(void) const { ComputeDerived(); return mGeodLat; }
     293                 :            : 
     294                 :            :   /** Get the latitude.
     295                 :            :       @return the latitude in deg of the location represented with this
     296                 :            :       class instance. The returned value is in the range between
     297                 :            :       -90 <= lon <= 90. Latitude is positive north and negative south. */
     298                 :       4911 :   double GetLatitudeDeg() const { ComputeDerived(); return radtodeg*mLat; }
     299                 :            : 
     300                 :            :   /** Get the geodetic latitude in degrees.
     301                 :            :       @return the geodetic latitude in degrees of the location represented by
     302                 :            :       this class instance. The returned value is in the range between
     303                 :            :       -90 <= lon <= 90. Latitude is positive north and negative south. */
     304                 :          1 :   double GetGeodLatitudeDeg(void) const { ComputeDerived(); return radtodeg*mGeodLat; }
     305                 :            : 
     306                 :            :   /** Gets the geodetic altitude in feet. */
     307                 :          1 :   double GetGeodAltitude(void) const { return GeodeticAltitude;}
     308                 :            : 
     309                 :            :   /** Get the sine of Latitude. */
     310                 :            :   double GetSinLatitude() const { ComputeDerived(); return -mTec2l(3,3); }
     311                 :            : 
     312                 :            :   /** Get the cosine of Latitude. */
     313                 :            :   double GetCosLatitude() const { ComputeDerived(); return mTec2l(1,3); }
     314                 :            : 
     315                 :            :   /** Get the cosine of Latitude. */
     316                 :            :   double GetTanLatitude() const {
     317                 :          1 :     ComputeDerived();
     318                 :          2 :     double cLat = mTec2l(1,3);
     319         [ -  + ]:          1 :     if (cLat == 0.0)
     320                 :          0 :       return 0.0;
     321                 :            :     else
     322                 :          1 :       return -mTec2l(3,3)/cLat;
     323                 :            :   }
     324                 :            : 
     325                 :            :   /** Get the distance from the center of the earth.
     326                 :            :       @return the distance of the location represented with this class
     327                 :            :       instance to the center of the earth in ft. The radius value is
     328                 :            :       always positive. */
     329                 :            :   //double GetRadius() const { return mECLoc.Magnitude(); } // may not work with FlightGear
     330                 :    1040880 :   double GetRadius() const { ComputeDerived(); return mRadius; }
     331                 :            : 
     332                 :            :   /** Transform matrix from local horizontal to earth centered frame.
     333                 :            :       Returns a const reference to the rotation matrix of the transform from
     334                 :            :       the local horizontal frame to the earth centered frame. */
     335                 :      54006 :   const FGMatrix33& GetTl2ec(void) const { ComputeDerived(); return mTl2ec; }
     336                 :            : 
     337                 :            :   /** Transform matrix from the earth centered to local horizontal frame.
     338                 :            :       Returns a const reference to the rotation matrix of the transform from
     339                 :            :       the earth centered frame to the local horizontal frame. */
     340                 :          0 :   const FGMatrix33& GetTec2l(void) const { ComputeDerived(); return mTec2l; }
     341                 :            : 
     342                 :            :   /** Transform matrix from inertial to earth centered frame.
     343                 :            :       Returns a const reference to the rotation matrix of the transform from
     344                 :            :       the inertial frame to the earth centered frame (ECI to ECEF). */
     345                 :            :   const FGMatrix33& GetTi2ec(void);
     346                 :            : 
     347                 :            :   /** Transform matrix from the earth centered to inertial frame.
     348                 :            :       Returns a const reference to the rotation matrix of the transform from
     349                 :            :       the earth centered frame to the inertial frame (ECEF to ECI). */
     350                 :            :   const FGMatrix33& GetTec2i(void);
     351                 :            : 
     352                 :      54006 :   const FGMatrix33& GetTi2l(void) const {return mTi2l;}
     353                 :            : 
     354                 :          0 :   const FGMatrix33& GetTl2i(void) const {return mTl2i;}
     355                 :            : 
     356                 :            :   /** Conversion from Local frame coordinates to a location in the
     357                 :            :       earth centered and fixed frame.
     358                 :            :       @param lvec Vector in the local horizontal coordinate frame
     359                 :            :       @return The location in the earth centered and fixed frame */
     360                 :            :   FGLocation LocalToLocation(const FGColumnVector3& lvec) const {
     361                 :      54005 :     ComputeDerived(); return mTl2ec*lvec + mECLoc;
     362                 :            :   }
     363                 :            : 
     364                 :            :   /** Conversion from a location in the earth centered and fixed frame
     365                 :            :       to local horizontal frame coordinates.
     366                 :            :       @param ecvec Vector in the earth centered and fixed frame
     367                 :            :       @return The vector in the local horizontal coordinate frame */
     368                 :            :   FGColumnVector3 LocationToLocal(const FGColumnVector3& ecvec) const {
     369                 :            :     ComputeDerived(); return mTec2l*(ecvec - mECLoc);
     370                 :            :   }
     371                 :            : 
     372                 :            :   // For time-stepping, locations have vector properties...
     373                 :            : 
     374                 :            :   /** Read access the entries of the vector.
     375                 :            :       @param idx the component index.
     376                 :            :       Return the value of the matrix entry at the given index.
     377                 :            :       Indices are counted starting with 1.
     378                 :            :       Note that the index given in the argument is unchecked. */
     379                 :            :   double operator()(unsigned int idx) const { return mECLoc.Entry(idx); }
     380                 :            : 
     381                 :            :   /** Write access the entries of the vector.
     382                 :            :       @param idx the component index.
     383                 :            :       @return a reference to the vector entry at the given index.
     384                 :            :       Indices are counted starting with 1.
     385                 :            :       Note that the index given in the argument is unchecked. */
     386                 :            :   double& operator()(unsigned int idx) { mCacheValid = false; return mECLoc.Entry(idx); }
     387                 :            : 
     388                 :            :   /** Read access the entries of the vector.
     389                 :            :       @param idx the component index.
     390                 :            :       @return the value of the matrix entry at the given index.
     391                 :            :       Indices are counted starting with 1.
     392                 :            :       This function is just a shortcut for the <tt>double
     393                 :            :       operator()(unsigned int idx) const</tt> function. It is
     394                 :            :       used internally to access the elements in a more convenient way.
     395                 :            :       Note that the index given in the argument is unchecked. */
     396                 :            :   double Entry(unsigned int idx) const { return mECLoc.Entry(idx); }
     397                 :            : 
     398                 :            :   /** Write access the entries of the vector.
     399                 :            :       @param idx the component index.
     400                 :            :       @return a reference to the vector entry at the given index.
     401                 :            :       Indices are counted starting with 1.
     402                 :            :       This function is just a shortcut for the double&
     403                 :            :       operator()(unsigned int idx) function. It is
     404                 :            :       used internally to access the elements in a more convenient way.
     405                 :            :       Note that the index given in the argument is unchecked. */
     406                 :            :   double& Entry(unsigned int idx) {
     407                 :            :     mCacheValid = false; return mECLoc.Entry(idx);
     408                 :            :   }
     409                 :            : 
     410                 :            :   /** Sets this location via the supplied vector.
     411                 :            :       The location can be set by an Earth-centered, Earth-fixed (ECEF) frame
     412                 :            :       position vector. The cache is marked as invalid, so any future requests
     413                 :            :       for selected important data will cause the parameters to be calculated.
     414                 :            :       @param v the ECEF column vector in feet. 
     415                 :            :       @return a reference to the FGLocation object. */
     416                 :            :   const FGLocation& operator=(const FGColumnVector3& v)
     417                 :            :   {
     418                 :     216022 :     mECLoc(eX) = v(eX);
     419                 :     216022 :     mECLoc(eY) = v(eY);
     420                 :     216022 :     mECLoc(eZ) = v(eZ);
     421                 :     108011 :     mCacheValid = false;
     422                 :      54005 :     ComputeDerived();
     423                 :     108011 :     return *this;
     424                 :            :   }
     425                 :            : 
     426                 :            :   /** Sets this location via the supplied location object.
     427                 :            :       @param v A location object reference. 
     428                 :            :       @return a reference to the FGLocation object. */
     429                 :            :   const FGLocation& operator=(const FGLocation& l)
     430                 :            :   {
     431                 :      54005 :     mECLoc = l.mECLoc;
     432                 :      54005 :     mCacheValid = l.mCacheValid;
     433                 :            : 
     434                 :            : //    if (!mCacheValid) return *this; // Why is this here for an assignment operator?
     435                 :            : 
     436                 :      54005 :     mLon = l.mLon;
     437                 :      54005 :     mLat = l.mLat;
     438                 :      54005 :     mRadius = l.mRadius;
     439                 :            : 
     440                 :      54005 :     mTl2ec = l.mTl2ec;
     441                 :      54005 :     mTec2l = l.mTec2l;
     442                 :            : 
     443                 :      54005 :     a = l.a;
     444                 :      54005 :     b = l.b;
     445                 :      54005 :     a2 = l.a2;
     446                 :      54005 :     b2 = l.b2;
     447                 :      54005 :     e2 = l.e2;
     448                 :      54005 :     e = l.e;
     449                 :      54005 :     eps2 = l.eps2;
     450                 :      54005 :     f = l.f;
     451                 :            : 
     452                 :      54005 :     initial_longitude = l.initial_longitude;
     453                 :      54005 :     mGeodLat = l.mGeodLat;
     454                 :      54005 :     GeodeticAltitude = l.GeodeticAltitude;
     455                 :            : 
     456                 :      54005 :     return *this;
     457                 :            :   }
     458                 :            : 
     459                 :            :   /** This operator returns true if the ECEF location vectors for the two
     460                 :            :       location objects are equal. */
     461                 :            :   bool operator==(const FGLocation& l) const {
     462                 :            :     return mECLoc == l.mECLoc;
     463                 :            :   }
     464                 :            : 
     465                 :            :   /** This operator returns true if the ECEF location vectors for the two
     466                 :            :       location objects are not equal. */
     467                 :            :   bool operator!=(const FGLocation& l) const { return ! operator==(l); }
     468                 :            : 
     469                 :            :   /** This operator adds the ECEF position vectors.
     470                 :            :       The supplied vector (right side) is added to the ECEF position vector
     471                 :            :       on the left side of the equality, and a pointer to this object is
     472                 :            :       returned. */
     473                 :            :   const FGLocation& operator+=(const FGLocation &l) {
     474                 :            :     mCacheValid = false;
     475                 :            :     mECLoc += l.mECLoc;
     476                 :            :     return *this;
     477                 :            :   }
     478                 :            : 
     479                 :            :   const FGLocation& operator-=(const FGLocation &l) {
     480                 :      54006 :     mCacheValid = false;
     481                 :      54006 :     mECLoc -= l.mECLoc;
     482                 :      54006 :     return *this;
     483                 :            :   }
     484                 :            : 
     485                 :            :   const FGLocation& operator*=(double scalar) {
     486                 :            :     mCacheValid = false;
     487                 :            :     mECLoc *= scalar;
     488                 :            :     return *this;
     489                 :            :   }
     490                 :            : 
     491                 :            :   const FGLocation& operator/=(double scalar) {
     492                 :            :     return operator*=(1.0/scalar);
     493                 :            :   }
     494                 :            : 
     495                 :            :   FGLocation operator+(const FGLocation& l) const {
     496                 :            :     return FGLocation(mECLoc + l.mECLoc);
     497                 :            :   }
     498                 :            : 
     499                 :            :   FGLocation operator-(const FGLocation& l) const {
     500                 :            :     return FGLocation(mECLoc - l.mECLoc);
     501                 :            :   }
     502                 :            : 
     503                 :            :   FGLocation operator*(double scalar) const {
     504                 :            :     return FGLocation(scalar*mECLoc);
     505                 :            :   }
     506                 :            : 
     507                 :            :   /** Cast to a simple 3d vector */
     508                 :            :   operator const FGColumnVector3&() const {
     509                 :     166928 :     return mECLoc;
     510                 :            :   }
     511                 :            : 
     512                 :            : private:
     513                 :            :   /** Computation of derived values.
     514                 :            :       This function re-computes the derived values like lat/lon and
     515                 :            :       transformation matrices. It does this unconditionally. */
     516                 :            :   void ComputeDerivedUnconditional(void) const;
     517                 :            : 
     518                 :            :   /** Computation of derived values.
     519                 :            :       This function checks if the derived values like lat/lon and
     520                 :            :       transformation matrices are already computed. If so, it
     521                 :            :       returns. If they need to be computed this is done here. */
     522                 :     981970 :   void ComputeDerived(void) const {
     523   [ +  +  +  -  :    1374741 :     if (!mCacheValid)
             #  #  #  # ]
           [ +  +  -  + ]
           [ +  -  -  + ]
         [ #  # ][ #  # ]
         [ -  + ][ -  + ]
           [ +  -  -  + ]
           [ -  +  #  # ]
         [ #  # ][ #  # ]
           [ #  #  -  +  
             -  +  -  + ]
     524                 :     216026 :       ComputeDerivedUnconditional();
     525                 :     981970 :   }
     526                 :            : 
     527                 :            :   /** The coordinates in the earth centered frame. This is the master copy.
     528                 :            :       The coordinate frame has its center in the middle of the earth.
     529                 :            :       Its x-axis points from the center of the earth towards a
     530                 :            :       location with zero latitude and longitude on the earths
     531                 :            :       surface. The y-axis points from the center of the earth towards a
     532                 :            :       location with zero latitude and 90deg longitude on the earths
     533                 :            :       surface. The z-axis points from the earths center to the
     534                 :            :       geographic north pole.
     535                 :            :       @see W. C. Durham "Aircraft Dynamics & Control", section 2.2 */
     536                 :            :   FGColumnVector3 mECLoc;
     537                 :            : 
     538                 :            :   /** The cached lon/lat/radius values. */
     539                 :            :   mutable double mLon;
     540                 :            :   mutable double mLat;
     541                 :            :   mutable double mRadius;
     542                 :            :   mutable double mGeodLat;
     543                 :            :   mutable double GeodeticAltitude;
     544                 :            :   
     545                 :            :   double initial_longitude;
     546                 :            : 
     547                 :            :   /** The cached rotation matrices from and to the associated frames. */
     548                 :            :   mutable FGMatrix33 mTl2ec;
     549                 :            :   mutable FGMatrix33 mTec2l;
     550                 :            :   mutable FGMatrix33 mTi2ec;
     551                 :            :   mutable FGMatrix33 mTec2i;
     552                 :            :   mutable FGMatrix33 mTi2l;
     553                 :            :   mutable FGMatrix33 mTl2i;
     554                 :            : 
     555                 :            :   double epa;
     556                 :            : 
     557                 :            :   /* Terms for geodetic latitude calculation. Values are from WGS84 model */
     558                 :            :   double a;    // Earth semimajor axis in feet (6,378,137.0 meters)
     559                 :            :   double b;    // Earth semiminor axis in feet (6,356,752.3142 meters)
     560                 :            :   double a2;
     561                 :            :   double b2;
     562                 :            :   double e;    // Earth eccentricity
     563                 :            :   double e2;   // Earth eccentricity squared
     564                 :            :   double eps2; //
     565                 :            :   double f;    // Flattening
     566                 :            : 
     567                 :            :   /** A data validity flag.
     568                 :            :       This class implements caching of the derived values like the
     569                 :            :       orthogonal rotation matrices or the lon/lat/radius values. For caching we
     570                 :            :       carry a flag which signals if the values are valid or not.
     571                 :            :       The C++ keyword "mutable" tells the compiler that the data member is
     572                 :            :       allowed to change during a const member function. */
     573                 :            :   mutable bool mCacheValid;
     574                 :            : };
     575                 :            : 
     576                 :            : /** Scalar multiplication.
     577                 :            : 
     578                 :            :     @param scalar scalar value to multiply with.
     579                 :            :     @param l Vector to multiply.
     580                 :            : 
     581                 :            :     Multiply the Vector with a scalar value. */
     582                 :            : inline FGLocation operator*(double scalar, const FGLocation& l)
     583                 :            : {
     584                 :            :   return l.operator*(scalar);
     585                 :            : }
     586                 :            : 
     587                 :            : } // namespace JSBSim
     588                 :            : 
     589                 :            : //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     590                 :            : #endif

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