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Current view: top level - models - FGLGear.h (source / functions) Hit Total Coverage
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Date: 2010-08-24 Functions: 0 2 0.0 %
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           Branch data     Line data    Source code
       1                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
       2                 :            : 
       3                 :            :  Header:       FGLGear.h
       4                 :            :  Author:       Jon S. Berndt
       5                 :            :  Date started: 11/18/99
       6                 :            : 
       7                 :            :  ------------- Copyright (C) 1999  Jon S. Berndt (jon@jsbsim.org) -------------
       8                 :            : 
       9                 :            :  This program is free software; you can redistribute it and/or modify it under
      10                 :            :  the terms of the GNU Lesser General Public License as published by the Free Software
      11                 :            :  Foundation; either version 2 of the License, or (at your option) any later
      12                 :            :  version.
      13                 :            : 
      14                 :            :  This program is distributed in the hope that it will be useful, but WITHOUT
      15                 :            :  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
      16                 :            :  FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public License for more
      17                 :            :  details.
      18                 :            : 
      19                 :            :  You should have received a copy of the GNU Lesser General Public License along with
      20                 :            :  this program; if not, write to the Free Software Foundation, Inc., 59 Temple
      21                 :            :  Place - Suite 330, Boston, MA  02111-1307, USA.
      22                 :            : 
      23                 :            :  Further information about the GNU Lesser General Public License can also be found on
      24                 :            :  the world wide web at http://www.gnu.org.
      25                 :            : 
      26                 :            : HISTORY
      27                 :            : --------------------------------------------------------------------------------
      28                 :            : 11/18/99   JSB   Created
      29                 :            : 
      30                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      31                 :            : SENTRY
      32                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      33                 :            : 
      34                 :            : #ifndef FGLGEAR_H
      35                 :            : #define FGLGEAR_H
      36                 :            : 
      37                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      38                 :            : INCLUDES
      39                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      40                 :            : 
      41                 :            : #include "models/propulsion/FGForce.h"
      42                 :            : #include "models/FGPropagate.h"
      43                 :            : #include "math/FGColumnVector3.h"
      44                 :            : #include <string>
      45                 :            : 
      46                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      47                 :            : DEFINITIONS
      48                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      49                 :            : 
      50                 :            : #define ID_LGEAR "$Id: FGLGear.h,v 1.40 2010/07/30 11:50:01 jberndt Exp $"
      51                 :            : 
      52                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      53                 :            : FORWARD DECLARATIONS
      54                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      55                 :            : 
      56                 :            : namespace JSBSim {
      57                 :            : 
      58                 :            : class FGAircraft;
      59                 :            : class FGPropagate;
      60                 :            : class FGFCS;
      61                 :            : class FGState;
      62                 :            : class FGMassBalance;
      63                 :            : class FGAuxiliary;
      64                 :            : class FGTable;
      65                 :            : class Element;
      66                 :            : 
      67                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
      68                 :            : CLASS DOCUMENTATION
      69                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
      70                 :            : 
      71                 :            : /** Landing gear model.
      72                 :            :     Calculates forces and moments due to landing gear reactions. This is done in
      73                 :            :     several steps, and is dependent on what kind of gear is being modeled. Here
      74                 :            :     are the parameters that can be specified in the config file for modeling
      75                 :            :     landing gear:
      76                 :            :     <p>
      77                 :            :     <h3>Physical Characteristics</h3>
      78                 :            :     <ol>
      79                 :            :     <li>X, Y, Z location, in inches in structural coordinate frame</li>
      80                 :            :     <li>Spring constant, in lbs/ft</li>
      81                 :            :     <li>Damping coefficient, in lbs/ft/sec</li>
      82                 :            :     <li>Dynamic Friction Coefficient</li>
      83                 :            :     <li>Static Friction Coefficient</li>
      84                 :            :     </ol></p><p>
      85                 :            :     <h3>Operational Properties</h3>
      86                 :            :     <ol>
      87                 :            :     <li>Name</li>
      88                 :            :     <li>Brake Group Membership {one of LEFT | CENTER | RIGHT | NOSE | TAIL | NONE}</li>
      89                 :            :     <li>Max Steer Angle, in degrees</li>
      90                 :            :     </ol></p>
      91                 :            :     <p>
      92                 :            :     <h3>Algorithm and Approach to Modeling</h3>
      93                 :            :     <ol>
      94                 :            :     <li>Find the location of the uncompressed landing gear relative to the CG of
      95                 :            :     the aircraft. Remember, the structural coordinate frame that the aircraft is
      96                 :            :     defined in is: X positive towards the tail, Y positive out the right side, Z
      97                 :            :     positive upwards. The locations of the various parts are given in inches in
      98                 :            :     the config file.</li>
      99                 :            :     <li>The vector giving the location of the gear (relative to the cg) is
     100                 :            :     rotated 180 degrees about the Y axis to put the coordinates in body frame (X
     101                 :            :     positive forwards, Y positive out the right side, Z positive downwards, with
     102                 :            :     the origin at the cg). The lengths are also now given in feet.</li>
     103                 :            :     <li>The new gear location is now transformed to the local coordinate frame
     104                 :            :     using the body-to-local matrix. (Mb2l).</li>
     105                 :            :     <li>Knowing the location of the center of gravity relative to the ground
     106                 :            :     (height above ground level or AGL) now enables gear deflection to be
     107                 :            :     calculated. The gear compression value is the local frame gear Z location
     108                 :            :     value minus the height AGL. [Currently, we make the assumption that the gear
     109                 :            :     is oriented - and the deflection occurs in - the Z axis only. Additionally,
     110                 :            :     the vector to the landing gear is currently not modified - which would
     111                 :            :     (correctly) move the point of contact to the actual compressed-gear point of
     112                 :            :     contact. Eventually, articulated gear may be modeled, but initially an
     113                 :            :     effort must be made to model a generic system.] As an example, say the
     114                 :            :     aircraft left main gear location (in local coordinates) is Z = 3 feet
     115                 :            :     (positive) and the height AGL is 2 feet. This tells us that the gear is
     116                 :            :     compressed 1 foot.</li>
     117                 :            :     <li>If the gear is compressed, a Weight-On-Wheels (WOW) flag is set.</li>
     118                 :            :     <li>With the compression length calculated, the compression velocity may now
     119                 :            :     be calculated. This will be used to determine the damping force in the
     120                 :            :     strut. The aircraft rotational rate is multiplied by the vector to the wheel
     121                 :            :     to get a wheel velocity in body frame. That velocity vector is then
     122                 :            :     transformed into the local coordinate frame.</li>
     123                 :            :     <li>The aircraft cg velocity in the local frame is added to the
     124                 :            :     just-calculated wheel velocity (due to rotation) to get a total wheel
     125                 :            :     velocity in the local frame.</li>
     126                 :            :     <li>The compression speed is the Z-component of the vector.</li>
     127                 :            :     <li>With the wheel velocity vector no longer needed, it is normalized and
     128                 :            :     multiplied by a -1 to reverse it. This will be used in the friction force
     129                 :            :     calculation.</li>
     130                 :            :     <li>Since the friction force takes place solely in the runway plane, the Z
     131                 :            :     coordinate of the normalized wheel velocity vector is set to zero.</li>
     132                 :            :     <li>The gear deflection force (the force on the aircraft acting along the
     133                 :            :     local frame Z axis) is now calculated given the spring and damper
     134                 :            :     coefficients, and the gear deflection speed and stroke length. Keep in mind
     135                 :            :     that gear forces always act in the negative direction (in both local and
     136                 :            :     body frames), and are not capable of generating a force in the positive
     137                 :            :     sense (one that would attract the aircraft to the ground). So, the gear
     138                 :            :     forces are always negative - they are limited to values of zero or less. The
     139                 :            :     gear force is simply the negative of the sum of the spring compression
     140                 :            :     length times the spring coefficient and the gear velocity times the damping
     141                 :            :     coefficient.</li>
     142                 :            :     <li>The lateral/directional force acting on the aircraft through the landing
     143                 :            : 
     144                 :            :     gear (along the local frame X and Y axes) is calculated next. First, the
     145                 :            :     friction coefficient is multiplied by the recently calculated Z-force. This
     146                 :            :     is the friction force. It must be given direction in addition to magnitude.
     147                 :            :     We want the components in the local frame X and Y axes. From step 9, above,
     148                 :            :     the conditioned wheel velocity vector is taken and the X and Y parts are
     149                 :            :     multiplied by the friction force to get the X and Y components of friction.
     150                 :            :     </li>
     151                 :            :     <li>The wheel force in local frame is next converted to body frame.</li>
     152                 :            :     <li>The moment due to the gear force is calculated by multiplying r x F
     153                 :            :     (radius to wheel crossed into the wheel force). Both of these operands are
     154                 :            :     in body frame.</li>
     155                 :            :     </ol>
     156                 :            : 
     157                 :            :     <h3>Configuration File Format:</h3>
     158                 :            : @code
     159                 :            :         <contact type="{BOGEY | STRUCTURE}" name="{string}">
     160                 :            :             <location unit="{IN | M}">
     161                 :            :                 <x> {number} </x>
     162                 :            :                 <y> {number} </y>
     163                 :            :                 <z> {number} </z>
     164                 :            :             </location>
     165                 :            :             <orientation unit="{RAD | DEG}">
     166                 :            :                 <pitch> {number} </pitch>
     167                 :            :                 <roll> {number} </roll>
     168                 :            :                 <yaw> {number} </yaw>
     169                 :            :             </orientation>
     170                 :            :             <static_friction> {number} </static_friction>
     171                 :            :             <dynamic_friction> {number} </dynamic_friction>
     172                 :            :             <rolling_friction> {number} </rolling_friction>
     173                 :            :             <spring_coeff unit="{LBS/FT | N/M}"> {number} </spring_coeff>
     174                 :            :             <damping_coeff [type="SQUARE"] unit="{LBS/FT/SEC | N/M/SEC}"> {number} </damping_coeff>
     175                 :            :             <damping_coeff_rebound [type="SQUARE"] unit="{LBS/FT/SEC | N/M/SEC}"> {number} </damping_coeff_rebound>
     176                 :            :             <max_steer unit="DEG"> {number | 0 | 360} </max_steer>
     177                 :            :             <brake_group> {NONE | LEFT | RIGHT | CENTER | NOSE | TAIL} </brake_group>
     178                 :            :             <retractable>{0 | 1}</retractable>
     179                 :            :             <table type="{CORNERING_COEFF}">
     180                 :            :             </table>
     181                 :            :         </contact>
     182                 :            : @endcode
     183                 :            :     @author Jon S. Berndt
     184                 :            :     @version $Id: FGLGear.h,v 1.40 2010/07/30 11:50:01 jberndt Exp $
     185                 :            :     @see Richard E. McFarland, "A Standard Kinematic Model for Flight Simulation at
     186                 :            :      NASA-Ames", NASA CR-2497, January 1975
     187                 :            :     @see Barnes W. McCormick, "Aerodynamics, Aeronautics, and Flight Mechanics",
     188                 :            :      Wiley & Sons, 1979 ISBN 0-471-03032-5
     189                 :            :     @see W. A. Ragsdale, "A Generic Landing Gear Dynamics Model for LASRS++",
     190                 :            :      AIAA-2000-4303
     191                 :            : */
     192                 :            : 
     193                 :            : /*%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     194                 :            : CLASS DECLARATION
     195                 :            : %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%*/
     196                 :            : 
     197                 :            : class FGLGear : public FGForce
     198                 :            : {
     199                 :            : public:
     200                 :            :   /// Brake grouping enumerators
     201                 :            :   enum BrakeGroup {bgNone=0, bgLeft, bgRight, bgCenter, bgNose, bgTail };
     202                 :            :   /// Steering group membership enumerators
     203                 :            :   enum SteerType {stSteer, stFixed, stCaster};
     204                 :            :   /// Contact point type
     205                 :            :   enum ContactType {ctBOGEY, ctSTRUCTURE};
     206                 :            :   /// Report type enumerators
     207                 :            :   enum ReportType {erNone=0, erTakeoff, erLand};
     208                 :            :   /// Damping types
     209                 :            :   enum DampType {dtLinear=0, dtSquare};
     210                 :            :   /// Friction types
     211                 :            :   enum FrictionType {ftRoll=0, ftSide, ftDynamic};
     212                 :            :   /** Constructor
     213                 :            :       @param el a pointer to the XML element that contains the CONTACT info.
     214                 :            :       @param Executive a pointer to the parent executive object
     215                 :            :       @param number integer identifier for this instance of FGLGear
     216                 :            :   */
     217                 :            :   FGLGear(Element* el, FGFDMExec* Executive, int number);
     218                 :            :   /// Destructor
     219                 :            :   ~FGLGear();
     220                 :            : 
     221                 :            :   /// The Force vector for this gear
     222                 :            :   FGColumnVector3& GetBodyForces(void);
     223                 :            : 
     224                 :            :   /// Gets the location of the gear in Body axes
     225                 :            :   FGColumnVector3& GetBodyLocation(void) { return vWhlBodyVec; }
     226                 :          0 :   double GetBodyLocation(int idx) const { return vWhlBodyVec(idx); }
     227                 :            : 
     228                 :            :   FGColumnVector3& GetLocalGear(void) { return vLocalGear; }
     229                 :          0 :   double GetLocalGear(int idx) const { return vLocalGear(idx); }
     230                 :            : 
     231                 :            :   /// Gets the name of the gear
     232                 :          0 :   string GetName(void) const {return name;          }
     233                 :            :   /// Gets the Weight On Wheels flag value
     234                 :          0 :   bool   GetWOW(void) const {return WOW;           }
     235                 :            :   /// Gets the current compressed length of the gear in feet
     236                 :          0 :   double  GetCompLen(void) const {return compressLength;}
     237                 :            :   /// Gets the current gear compression velocity in ft/sec
     238                 :          0 :   double  GetCompVel(void) const {return compressSpeed; }
     239                 :            :   /// Gets the gear compression force in pounds
     240                 :          0 :   double  GetCompForce(void) const {return StrutForce;   }
     241                 :            :   double  GetBrakeFCoeff(void) const {return BrakeFCoeff;}
     242                 :            : 
     243                 :            :   /// Gets the current normalized tire pressure
     244                 :            :   double  GetTirePressure(void) const { return TirePressureNorm; }
     245                 :            :   /// Sets the new normalized tire pressure
     246                 :            :   void    SetTirePressure(double p) { TirePressureNorm = p; }
     247                 :            : 
     248                 :            :   /// Sets the brake value in percent (0 - 100)
     249                 :            :   void SetBrake(double bp) {brakePct = bp;}
     250                 :            : 
     251                 :            :   /// Sets the weight-on-wheels flag.
     252                 :            :   void SetWOW(bool wow) {WOW = wow;}
     253                 :            : 
     254                 :            :   /** Set the console touchdown reporting feature
     255                 :            :       @param flag true turns on touchdown reporting, false turns it off */
     256                 :          0 :   void SetReport(bool flag) { ReportEnable = flag; }
     257                 :            :   /** Get the console touchdown reporting feature
     258                 :            :       @return true if reporting is turned on */
     259                 :            :   bool GetReport(void) const  { return ReportEnable; }
     260                 :          0 :   double GetSteerNorm(void) const    { return radtodeg/maxSteerAngle*SteerAngle; }
     261                 :          0 :   double GetDefaultSteerAngle(double cmd) const { return cmd*maxSteerAngle; }
     262                 :            :   double GetstaticFCoeff(void) const { return staticFCoeff; }
     263                 :            : 
     264                 :            :   int GetBrakeGroup(void) const { return (int)eBrakeGrp; }
     265                 :            :   int GetSteerType(void) const  { return (int)eSteerType; }
     266                 :            : 
     267                 :          0 :   bool GetSteerable(void) const        { return eSteerType != stFixed; }
     268                 :            :   bool GetRetractable(void) const      { return isRetractable;   }
     269                 :            :   bool GetGearUnitUp(void) const       { return GearUp;          }
     270                 :          0 :   bool GetGearUnitDown(void) const     { return GearDown;        }
     271                 :            :   double GetWheelRollForce(void) {
     272                 :          0 :     FGColumnVector3 vForce = mTGear.Transposed() * FGForce::GetBodyForces();
     273                 :          0 :     return vForce(eX)*cos(SteerAngle) + vForce(eY)*sin(SteerAngle); }
     274                 :            :   double GetWheelSideForce(void) {
     275                 :          0 :     FGColumnVector3 vForce = mTGear.Transposed() * FGForce::GetBodyForces();
     276                 :          0 :     return vForce(eY)*cos(SteerAngle) - vForce(eX)*sin(SteerAngle); }
     277                 :          0 :   double GetWheelRollVel(void) const   { return vWhlVelVec(eX)*cos(SteerAngle)
     278                 :          0 :                                               + vWhlVelVec(eY)*sin(SteerAngle);  }
     279                 :            :   double GetWheelSideVel(void) const   { return vWhlVelVec(eY)*cos(SteerAngle)
     280                 :          0 :                                               - vWhlVelVec(eX)*sin(SteerAngle);  }
     281                 :          0 :   double GetWheelSlipAngle(void) const { return WheelSlip;       }
     282                 :          0 :   double GetWheelVel(int axis) const   { return vWhlVelVec(axis);}
     283                 :          0 :   bool IsBogey(void) const             { return (eContactType == ctBOGEY);}
     284                 :            :   double GetGearUnitPos(void);
     285                 :          0 :   double GetSteerAngleDeg(void) const { return radtodeg*SteerAngle; }
     286                 :            :   FGPropagate::LagrangeMultiplier* GetMultiplierEntry(int entry);
     287                 :            :   void SetLagrangeMultiplier(double lambda, int entry);
     288                 :            :   FGColumnVector3& UpdateForces(void);
     289                 :            : 
     290                 :            :   void bind(void);
     291                 :            : 
     292                 :            : private:
     293                 :            :   int GearNumber;
     294                 :            :   static const FGMatrix33 Tb2s;
     295                 :            :   FGMatrix33 mTGear;
     296                 :            :   FGColumnVector3 vGearOrient;
     297                 :            :   FGColumnVector3 vWhlBodyVec;
     298                 :            :   FGColumnVector3 vLocalGear;
     299                 :            :   FGColumnVector3 vWhlVelVec, vLocalWhlVel;     // Velocity of this wheel
     300                 :            :   FGColumnVector3 normal, cvel, vGroundNormal;
     301                 :            :   FGLocation contact, gearLoc;
     302                 :            :   FGTable *ForceY_Table;
     303                 :            :   double dT;
     304                 :            :   double SteerAngle;
     305                 :            :   double kSpring;
     306                 :            :   double bDamp;
     307                 :            :   double bDampRebound;
     308                 :            :   double compressLength;
     309                 :            :   double compressSpeed;
     310                 :            :   double staticFCoeff, dynamicFCoeff, rollingFCoeff;
     311                 :            :   double Stiffness, Shape, Peak, Curvature; // Pacejka factors
     312                 :            :   double brakePct;
     313                 :            :   double BrakeFCoeff;
     314                 :            :   double maxCompLen;
     315                 :            :   double SinkRate;
     316                 :            :   double GroundSpeed;
     317                 :            :   double TakeoffDistanceTraveled;
     318                 :            :   double TakeoffDistanceTraveled50ft;
     319                 :            :   double LandingDistanceTraveled;
     320                 :            :   double MaximumStrutForce, StrutForce;
     321                 :            :   double MaximumStrutTravel;
     322                 :            :   double FCoeff;
     323                 :            :   double WheelSlip;
     324                 :            :   double TirePressureNorm;
     325                 :            :   double GearPos;
     326                 :            :   bool   useFCSGearPos;
     327                 :            :   bool WOW;
     328                 :            :   bool lastWOW;
     329                 :            :   bool FirstContact;
     330                 :            :   bool StartedGroundRun;
     331                 :            :   bool LandingReported;
     332                 :            :   bool TakeoffReported;
     333                 :            :   bool ReportEnable;
     334                 :            :   bool isRetractable;
     335                 :            :   bool GearUp, GearDown;
     336                 :            :   bool Servicable;
     337                 :            :   bool Castered;
     338                 :            :   bool StaticFriction;
     339                 :            :   std::string name;
     340                 :            :   std::string sSteerType;
     341                 :            :   std::string sBrakeGroup;
     342                 :            :   std::string sRetractable;
     343                 :            :   std::string sContactType;
     344                 :            : 
     345                 :            :   BrakeGroup  eBrakeGrp;
     346                 :            :   ContactType eContactType;
     347                 :            :   SteerType   eSteerType;
     348                 :            :   DampType    eDampType;
     349                 :            :   DampType    eDampTypeRebound;
     350                 :            :   double  maxSteerAngle;
     351                 :            : 
     352                 :            :   FGPropagate::LagrangeMultiplier LMultiplier[3];
     353                 :            : 
     354                 :            :   FGAuxiliary*       Auxiliary;
     355                 :            :   FGPropagate*       Propagate;
     356                 :            :   FGFCS*             FCS;
     357                 :            :   FGMassBalance*     MassBalance;
     358                 :            :   FGGroundReactions* GroundReactions;
     359                 :            : 
     360                 :            :   void ComputeRetractionState(void);
     361                 :            :   void ComputeBrakeForceCoefficient(void);
     362                 :            :   void ComputeSteeringAngle(void);
     363                 :            :   void ComputeSlipAngle(void);
     364                 :            :   void ComputeSideForceCoefficient(void);
     365                 :            :   void ComputeVerticalStrutForce(void);
     366                 :            :   void ComputeGroundCoordSys(void);
     367                 :            :   void ComputeJacobian(const FGColumnVector3& vWhlContactVec);
     368                 :            :   void CrashDetect(void);
     369                 :            :   void InitializeReporting(void);
     370                 :            :   void ResetReporting(void);
     371                 :            :   void ReportTakeoffOrLanding(void);
     372                 :            :   void Report(ReportType rt);
     373                 :            :   void Debug(int from);
     374                 :            : };
     375                 :            : }
     376                 :            : 
     377                 :            : //%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
     378                 :            : 
     379                 :            : #endif

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