Geant4 Cross Reference

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Geant4/geometry/solids/CSG/src/G4Trap.cc

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Differences between /geometry/solids/CSG/src/G4Trap.cc (Version 11.3.0) and /geometry/solids/CSG/src/G4Trap.cc (Version 10.1.p2)


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 25 //                                                 25 //
                                                   >>  26 //
                                                   >>  27 // $Id: G4Trap.cc 83851 2014-09-19 10:12:12Z gcosmo $
                                                   >>  28 //
                                                   >>  29 // class G4Trap
                                                   >>  30 //
 26 // Implementation for G4Trap class                 31 // Implementation for G4Trap class
 27 //                                                 32 //
 28 // 21.03.95 P.Kent: Modified for `tolerant' ge <<  33 // History:
                                                   >>  34 //
                                                   >>  35 // 28.04.05 V.Grichine: new SurfaceNormal according to J. Apostolakis proposal 
                                                   >>  36 // 26.04.05 V.Grichine: new SurfaceNormal is default 
                                                   >>  37 // 19.04.05 V.Grichine: bug fixed in G4Trap("name",G4ThreeVector[8] vp)
                                                   >>  38 // 12.12.04 V.Grichine: SurfaceNormal with edges/vertices 
                                                   >>  39 // 15.11.04 V.Grichine: bug fixed in G4Trap("name",G4ThreeVector[8] vp)
                                                   >>  40 // 13.12.99 V.Grichine: bug fixed in DistanceToIn(p,v)
                                                   >>  41 // 19.11.99 V.Grichine: kUndef was added to Eside enum
                                                   >>  42 // 04.06.99 S.Giani: Fixed CalculateExtent in rotated case. 
                                                   >>  43 // 08.12.97 J.Allison: Added "nominal" constructor and method SetAllParameters.
                                                   >>  44 // 01.11.96 V.Grichine: Costructor for Right Angular Wedge from STEP, G4Trd/Para
 29 // 09.09.96 V.Grichine: Final modifications be     45 // 09.09.96 V.Grichine: Final modifications before to commit
 30 // 08.12.97 J.Allison: Added "nominal" constru <<  46 // 21.03.95 P.Kent: Modified for `tolerant' geometry
 31 // 28.04.05 V.Grichine: new SurfaceNormal acco <<  47 //
 32 // 18.04.17 E.Tcherniaev: complete revision, s <<  48 //////////////////////////////////////////////////////////////////////////////////// 
 33 // ------------------------------------------- << 
 34                                                    49 
 35 #include "G4Trap.hh"                               50 #include "G4Trap.hh"
 36                                                    51 
 37 #if !defined(G4GEOM_USE_UTRAP)                     52 #if !defined(G4GEOM_USE_UTRAP)
 38                                                    53 
 39 #include "globals.hh"                              54 #include "globals.hh"
 40 #include "G4GeomTools.hh"                      << 
 41                                                    55 
 42 #include "G4VoxelLimits.hh"                        56 #include "G4VoxelLimits.hh"
 43 #include "G4AffineTransform.hh"                    57 #include "G4AffineTransform.hh"
 44 #include "G4BoundingEnvelope.hh"               << 
 45                                                    58 
 46 #include "G4VPVParameterisation.hh"                59 #include "G4VPVParameterisation.hh"
 47                                                    60 
 48 #include "G4QuickRand.hh"                      <<  61 #include "Randomize.hh"
 49                                                    62 
 50 #include "G4VGraphicsScene.hh"                     63 #include "G4VGraphicsScene.hh"
 51 #include "G4Polyhedron.hh"                         64 #include "G4Polyhedron.hh"
 52                                                    65 
 53 using namespace CLHEP;                             66 using namespace CLHEP;
 54                                                    67 
                                                   >>  68 ////////////////////////////////////////////////////////////////////////
                                                   >>  69 //
                                                   >>  70 // Accuracy of coplanarity
                                                   >>  71 
                                                   >>  72 const G4double kCoplanar_Tolerance = 1E-4 ;
                                                   >>  73 
 55 //////////////////////////////////////////////     74 //////////////////////////////////////////////////////////////////////////
 56 //                                                 75 //
 57 // Constructor - check and set half-widths as  <<  76 // Private enum: Not for external use 
                                                   >>  77     
                                                   >>  78 enum Eside {kUndef,ks0,ks1,ks2,ks3,kPZ,kMZ};
                                                   >>  79 
                                                   >>  80 //////////////////////////////////////////////////////////////////////////
                                                   >>  81 //
                                                   >>  82 // Constructor - check and set half-widths as well as angles: 
 58 // final check of coplanarity                      83 // final check of coplanarity
 59                                                    84 
 60 G4Trap::G4Trap( const G4String& pName,             85 G4Trap::G4Trap( const G4String& pName,
 61                       G4double pDz,                86                       G4double pDz,
 62                       G4double pTheta, G4doubl     87                       G4double pTheta, G4double pPhi,
 63                       G4double pDy1, G4double      88                       G4double pDy1, G4double pDx1, G4double pDx2,
 64                       G4double pAlp1,              89                       G4double pAlp1,
 65                       G4double pDy2, G4double      90                       G4double pDy2, G4double pDx3, G4double pDx4,
 66                       G4double pAlp2 )         <<  91                       G4double pAlp2)
 67   : G4CSGSolid(pName), halfCarTolerance(0.5*kC <<  92   : G4CSGSolid(pName)
 68 {                                                  93 {
 69   fDz = pDz;                                   <<  94   if ( pDz <= 0 || pDy1 <= 0 || pDx1 <= 0 ||
 70   fTthetaCphi = std::tan(pTheta)*std::cos(pPhi <<  95        pDx2 <= 0 || pDy2 <= 0 || pDx3 <= 0 || pDx4 <= 0 )
 71   fTthetaSphi = std::tan(pTheta)*std::sin(pPhi <<  96   {
                                                   >>  97     std::ostringstream message;
                                                   >>  98     message << "Invalid length parameters for Solid: " << GetName() << G4endl
                                                   >>  99             << "        X - "
                                                   >> 100             << pDx1 << ", " << pDx2 << ", " << pDx3 << ", " << pDx4 << G4endl
                                                   >> 101             << "          Y - " << pDy1 << ", " << pDy2 << G4endl
                                                   >> 102             << "          Z - " << pDz;
                                                   >> 103     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 104                 FatalException, message);
                                                   >> 105   }
 72                                                   106 
 73   fDy1 = pDy1; fDx1 = pDx1; fDx2 = pDx2; fTalp << 107   fDz=pDz;
 74   fDy2 = pDy2; fDx3 = pDx3; fDx4 = pDx4; fTalp << 108   fTthetaCphi=std::tan(pTheta)*std::cos(pPhi);
                                                   >> 109   fTthetaSphi=std::tan(pTheta)*std::sin(pPhi);
                                                   >> 110       
                                                   >> 111   fDy1=pDy1;
                                                   >> 112   fDx1=pDx1;
                                                   >> 113   fDx2=pDx2;
                                                   >> 114   fTalpha1=std::tan(pAlp1);
                                                   >> 115      
                                                   >> 116   fDy2=pDy2;
                                                   >> 117   fDx3=pDx3;
                                                   >> 118   fDx4=pDx4;
                                                   >> 119   fTalpha2=std::tan(pAlp2);
 75                                                   120 
 76   CheckParameters();                           << 
 77   MakePlanes();                                   121   MakePlanes();
 78 }                                                 122 }
 79                                                   123 
 80 ////////////////////////////////////////////// << 124 ////////////////////////////////////////////////////////////////////////////
 81 //                                                125 //
 82 // Constructor - Design of trapezoid based on  << 126 // Constructor - Design of trapezoid based on 8 G4ThreeVector parameters, 
 83 // which are its vertices. Checking of planari << 127 // which are its vertices. Checking of planarity with preparation of 
 84 // fPlanes[] and than calculation of other mem    128 // fPlanes[] and than calculation of other members
 85                                                   129 
 86 G4Trap::G4Trap( const G4String& pName,            130 G4Trap::G4Trap( const G4String& pName,
 87                 const G4ThreeVector pt[8] )       131                 const G4ThreeVector pt[8] )
 88   : G4CSGSolid(pName), halfCarTolerance(0.5*kC << 132   : G4CSGSolid(pName)
 89 {                                                 133 {
                                                   >> 134   G4bool good;
                                                   >> 135 
 90   // Start with check of centering - the cente    136   // Start with check of centering - the center of gravity trap line
 91   // should cross the origin of frame             137   // should cross the origin of frame
 92   //                                           << 138 
 93   if (  pt[0].z() >= 0                         << 139   if (!(   pt[0].z() < 0 
 94         || pt[0].z() != pt[1].z()              << 140         && pt[0].z() == pt[1].z() && pt[0].z() == pt[2].z()
 95         || pt[0].z() != pt[2].z()              << 141         && pt[0].z() == pt[3].z()
 96         || pt[0].z() != pt[3].z()              << 142         && pt[4].z() > 0 
 97                                                << 143         && pt[4].z() == pt[5].z() && pt[4].z() == pt[6].z()
 98         || pt[4].z() <= 0                      << 144         && pt[4].z() == pt[7].z()
 99         || pt[4].z() != pt[5].z()              << 145         && std::fabs( pt[0].z() + pt[4].z() ) < kCarTolerance
100         || pt[4].z() != pt[6].z()              << 146         && pt[0].y() == pt[1].y() && pt[2].y() == pt[3].y()
101         || pt[4].z() != pt[7].z()              << 147         && pt[4].y() == pt[5].y() && pt[6].y() == pt[7].y()
102                                                << 148         && std::fabs( pt[0].y() + pt[2].y() + pt[4].y() + pt[6].y() ) < kCarTolerance 
103         || std::fabs( pt[0].z() + pt[4].z() )  << 149         && std::fabs( pt[0].x() + pt[1].x() + pt[4].x() + pt[5].x() + 
104                                                << 150            pt[2].x() + pt[3].x() + pt[6].x() + pt[7].x() ) < kCarTolerance ) )
105         || pt[0].y() != pt[1].y()              << 
106         || pt[2].y() != pt[3].y()              << 
107         || pt[4].y() != pt[5].y()              << 
108         || pt[6].y() != pt[7].y()              << 
109                                                << 
110         || std::fabs(pt[0].y()+pt[2].y()+pt[4] << 
111         || std::fabs(pt[0].x()+pt[1].x()+pt[4] << 
112                      pt[2].x()+pt[3].x()+pt[6] << 
113   {                                               151   {
114     std::ostringstream message;                   152     std::ostringstream message;
115     message << "Invalid vertice coordinates fo    153     message << "Invalid vertice coordinates for Solid: " << GetName();
116     G4Exception("G4Trap::G4Trap()", "GeomSolid    154     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
117                 FatalException, message);         155                 FatalException, message);
118   }                                               156   }
                                                   >> 157     
                                                   >> 158   // Bottom side with normal approx. -Y
                                                   >> 159     
                                                   >> 160   good = MakePlane(pt[0],pt[4],pt[5],pt[1],fPlanes[0]);
119                                                   161 
120   // Set parameters                            << 162   if (!good)
121   //                                           << 163   {
122   fDz = (pt[7]).z();                           << 164     DumpInfo();
                                                   >> 165     G4Exception("G4Trap::G4Trap()", "GeomSolids0002", FatalException,
                                                   >> 166                 "Face at ~-Y not planar.");
                                                   >> 167   }
                                                   >> 168 
                                                   >> 169   // Top side with normal approx. +Y
                                                   >> 170     
                                                   >> 171   good = MakePlane(pt[2],pt[3],pt[7],pt[6],fPlanes[1]);
                                                   >> 172 
                                                   >> 173   if (!good)
                                                   >> 174   {
                                                   >> 175     std::ostringstream message;
                                                   >> 176     message << "Face at ~+Y not planar for Solid: " << GetName();
                                                   >> 177     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 178                 FatalException, message);
                                                   >> 179   }
                                                   >> 180 
                                                   >> 181   // Front side with normal approx. -X
                                                   >> 182     
                                                   >> 183   good = MakePlane(pt[0],pt[2],pt[6],pt[4],fPlanes[2]);
                                                   >> 184 
                                                   >> 185   if (!good)
                                                   >> 186   {
                                                   >> 187     std::ostringstream message;
                                                   >> 188     message << "Face at ~-X not planar for Solid: " << GetName();
                                                   >> 189     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 190                 FatalException, message);
                                                   >> 191   }
123                                                   192 
                                                   >> 193   // Back side iwth normal approx. +X
                                                   >> 194     
                                                   >> 195   good = MakePlane(pt[1],pt[5],pt[7],pt[3],fPlanes[3]);
                                                   >> 196   if (!good)
                                                   >> 197   {
                                                   >> 198     std::ostringstream message;
                                                   >> 199     message << "Face at ~+X not planar for Solid: " << GetName();
                                                   >> 200     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 201                 FatalException, message);
                                                   >> 202   }
                                                   >> 203   fDz = (pt[7]).z() ;
                                                   >> 204       
124   fDy1     = ((pt[2]).y()-(pt[1]).y())*0.5;       205   fDy1     = ((pt[2]).y()-(pt[1]).y())*0.5;
125   fDx1     = ((pt[1]).x()-(pt[0]).x())*0.5;       206   fDx1     = ((pt[1]).x()-(pt[0]).x())*0.5;
126   fDx2     = ((pt[3]).x()-(pt[2]).x())*0.5;       207   fDx2     = ((pt[3]).x()-(pt[2]).x())*0.5;
127   fTalpha1 = ((pt[2]).x()+(pt[3]).x()-(pt[1]).    208   fTalpha1 = ((pt[2]).x()+(pt[3]).x()-(pt[1]).x()-(pt[0]).x())*0.25/fDy1;
128                                                   209 
129   fDy2     = ((pt[6]).y()-(pt[5]).y())*0.5;       210   fDy2     = ((pt[6]).y()-(pt[5]).y())*0.5;
130   fDx3     = ((pt[5]).x()-(pt[4]).x())*0.5;       211   fDx3     = ((pt[5]).x()-(pt[4]).x())*0.5;
131   fDx4     = ((pt[7]).x()-(pt[6]).x())*0.5;       212   fDx4     = ((pt[7]).x()-(pt[6]).x())*0.5;
132   fTalpha2 = ((pt[6]).x()+(pt[7]).x()-(pt[5]).    213   fTalpha2 = ((pt[6]).x()+(pt[7]).x()-(pt[5]).x()-(pt[4]).x())*0.25/fDy2;
133                                                   214 
134   fTthetaCphi = ((pt[4]).x()+fDy2*fTalpha2+fDx    215   fTthetaCphi = ((pt[4]).x()+fDy2*fTalpha2+fDx3)/fDz;
135   fTthetaSphi = ((pt[4]).y()+fDy2)/fDz;           216   fTthetaSphi = ((pt[4]).y()+fDy2)/fDz;
136                                                << 
137   CheckParameters();                           << 
138   MakePlanes(pt);                              << 
139 }                                                 217 }
140                                                   218 
141 ////////////////////////////////////////////// << 219 //////////////////////////////////////////////////////////////////////////////
142 //                                                220 //
143 // Constructor for Right Angular Wedge from ST    221 // Constructor for Right Angular Wedge from STEP
144                                                   222 
145 G4Trap::G4Trap( const G4String& pName,            223 G4Trap::G4Trap( const G4String& pName,
146                       G4double pZ,                224                       G4double pZ,
147                       G4double pY,                225                       G4double pY,
148                       G4double pX, G4double pL    226                       G4double pX, G4double pLTX )
149   : G4CSGSolid(pName), halfCarTolerance(0.5*kC << 227   : G4CSGSolid(pName)
150 {                                                 228 {
151   fDz  = 0.5*pZ; fTthetaCphi = 0; fTthetaSphi  << 229   G4bool good;
152   fDy1 = 0.5*pY; fDx1 = 0.5*pX; fDx2 = 0.5*pLT << 
153   fDy2 = fDy1;   fDx3 = fDx1;   fDx4 = fDx2;   << 
154                                                   230 
155   CheckParameters();                           << 231   if ( pZ<=0 || pY<=0 || pX<=0 || pLTX<=0 || pLTX>pX )
156   MakePlanes();                                << 232   {
                                                   >> 233     std::ostringstream message;
                                                   >> 234     message << "Invalid length parameters for Solid: " << GetName();
                                                   >> 235     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 236                 FatalException, message);
                                                   >> 237   }
                                                   >> 238 
                                                   >> 239   fDz = 0.5*pZ ;
                                                   >> 240   fTthetaCphi = 0 ;
                                                   >> 241   fTthetaSphi = 0 ;
                                                   >> 242 
                                                   >> 243   fDy1 = 0.5*pY;
                                                   >> 244   fDx1 = 0.5*pX ;
                                                   >> 245   fDx2 = 0.5*pLTX;
                                                   >> 246   fTalpha1 =  0.5*(pLTX - pX)/pY;
                                                   >> 247 
                                                   >> 248   fDy2 = fDy1 ;
                                                   >> 249   fDx3 = fDx1;
                                                   >> 250   fDx4 = fDx2 ;
                                                   >> 251   fTalpha2 = fTalpha1 ;
                                                   >> 252 
                                                   >> 253   G4ThreeVector pt[8] ;
                                                   >> 254 
                                                   >> 255   pt[0]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 256                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 257   pt[1]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 258                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 259   pt[2]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 260                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 261   pt[3]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 262                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 263   pt[4]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 264                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 265   pt[5]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 266                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 267   pt[6]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 268                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 269   pt[7]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 270                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 271 
                                                   >> 272   // Bottom side with normal approx. -Y
                                                   >> 273   //
                                                   >> 274   good=MakePlane(pt[0],pt[4],pt[5],pt[1],fPlanes[0]);
                                                   >> 275   if (!good)
                                                   >> 276   {
                                                   >> 277     std::ostringstream message;
                                                   >> 278     message << "Face at ~-Y not planar for Solid: " << GetName();
                                                   >> 279     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 280                 FatalException, message);
                                                   >> 281   }
                                                   >> 282 
                                                   >> 283   // Top side with normal approx. +Y
                                                   >> 284   //
                                                   >> 285   good=MakePlane(pt[2],pt[3],pt[7],pt[6],fPlanes[1]);
                                                   >> 286   if (!good)
                                                   >> 287   {
                                                   >> 288     std::ostringstream message;
                                                   >> 289     message << "Face at ~+Y not planar for Solid: " << GetName();
                                                   >> 290     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 291                 FatalException, message);
                                                   >> 292   }
                                                   >> 293 
                                                   >> 294   // Front side with normal approx. -X
                                                   >> 295   //
                                                   >> 296   good=MakePlane(pt[0],pt[2],pt[6],pt[4],fPlanes[2]);
                                                   >> 297   if (!good)
                                                   >> 298   {
                                                   >> 299     std::ostringstream message;
                                                   >> 300     message << "Face at ~-X not planar for Solid: " << GetName();
                                                   >> 301     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 302                 FatalException, message);
                                                   >> 303   }
                                                   >> 304 
                                                   >> 305   // Back side iwth normal approx. +X
                                                   >> 306   //
                                                   >> 307   good=MakePlane(pt[1],pt[5],pt[7],pt[3],fPlanes[3]);
                                                   >> 308   if (!good)
                                                   >> 309   {
                                                   >> 310     std::ostringstream message;
                                                   >> 311     message << "Face at ~+X not planar for Solid: " << GetName();
                                                   >> 312     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 313                 FatalException, message);
                                                   >> 314   }
157 }                                                 315 }
158                                                   316 
159 ////////////////////////////////////////////// << 317 ///////////////////////////////////////////////////////////////////////////////
160 //                                                318 //
161 // Constructor for G4Trd                          319 // Constructor for G4Trd
162                                                   320 
163 G4Trap::G4Trap( const G4String& pName,            321 G4Trap::G4Trap( const G4String& pName,
164                       G4double pDx1,  G4double    322                       G4double pDx1,  G4double pDx2,
165                       G4double pDy1,  G4double    323                       G4double pDy1,  G4double pDy2,
166                       G4double pDz )              324                       G4double pDz )
167   : G4CSGSolid(pName), halfCarTolerance(0.5*kC << 325   : G4CSGSolid(pName)
168 {                                                 326 {
169   fDz  = pDz;  fTthetaCphi = 0; fTthetaSphi =  << 327   G4bool good;
170   fDy1 = pDy1; fDx1 = pDx1; fDx2 = pDx1; fTalp << 
171   fDy2 = pDy2; fDx3 = pDx2; fDx4 = pDx2; fTalp << 
172                                                   328 
173   CheckParameters();                           << 329   if ( pDz<=0 || pDy1<=0 || pDx1<=0 || pDx2<=0 || pDy2<=0 )
174   MakePlanes();                                << 330   {
                                                   >> 331     std::ostringstream message;
                                                   >> 332     message << "Invalid length parameters for Solid: " << GetName();
                                                   >> 333     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 334                 FatalException, message);
                                                   >> 335   }
                                                   >> 336 
                                                   >> 337   fDz = pDz;
                                                   >> 338   fTthetaCphi = 0 ;
                                                   >> 339   fTthetaSphi = 0 ;
                                                   >> 340       
                                                   >> 341   fDy1 = pDy1 ;
                                                   >> 342   fDx1 = pDx1 ;
                                                   >> 343   fDx2 = pDx1 ;
                                                   >> 344   fTalpha1 = 0 ;
                                                   >> 345      
                                                   >> 346   fDy2 = pDy2 ;
                                                   >> 347   fDx3 = pDx2 ;
                                                   >> 348   fDx4 = pDx2 ;
                                                   >> 349   fTalpha2 = 0 ;
                                                   >> 350 
                                                   >> 351   G4ThreeVector pt[8] ;
                                                   >> 352      
                                                   >> 353   pt[0]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 354                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 355   pt[1]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 356                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 357   pt[2]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 358                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 359   pt[3]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 360                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 361   pt[4]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 362                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 363   pt[5]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 364                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 365   pt[6]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 366                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 367   pt[7]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 368                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 369 
                                                   >> 370   // Bottom side with normal approx. -Y
                                                   >> 371   //
                                                   >> 372   good=MakePlane(pt[0],pt[4],pt[5],pt[1],fPlanes[0]);
                                                   >> 373   if (!good)
                                                   >> 374   {
                                                   >> 375     std::ostringstream message;
                                                   >> 376     message << "Face at ~-Y not planar for Solid: " << GetName();
                                                   >> 377     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 378                 FatalException, message);
                                                   >> 379   }
                                                   >> 380 
                                                   >> 381   // Top side with normal approx. +Y
                                                   >> 382   //
                                                   >> 383   good=MakePlane(pt[2],pt[3],pt[7],pt[6],fPlanes[1]);
                                                   >> 384   if (!good)
                                                   >> 385   {
                                                   >> 386     std::ostringstream message;
                                                   >> 387     message << "Face at ~+Y not planar for Solid: " << GetName();
                                                   >> 388     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 389                 FatalException, message);
                                                   >> 390   }
                                                   >> 391 
                                                   >> 392   // Front side with normal approx. -X
                                                   >> 393   //
                                                   >> 394   good=MakePlane(pt[0],pt[2],pt[6],pt[4],fPlanes[2]);
                                                   >> 395   if (!good)
                                                   >> 396   {
                                                   >> 397     std::ostringstream message;
                                                   >> 398     message << "Face at ~-X not planar for Solid: " << GetName();
                                                   >> 399     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 400                 FatalException, message);
                                                   >> 401   }
                                                   >> 402 
                                                   >> 403   // Back side iwth normal approx. +X
                                                   >> 404   //
                                                   >> 405   good=MakePlane(pt[1],pt[5],pt[7],pt[3],fPlanes[3]);
                                                   >> 406   if (!good)
                                                   >> 407   {
                                                   >> 408     std::ostringstream message;
                                                   >> 409     message << "Face at ~+X not planar for Solid: " << GetName();
                                                   >> 410     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 411                 FatalException, message);
                                                   >> 412   }
175 }                                                 413 }
176                                                   414 
177 ////////////////////////////////////////////// << 415 ////////////////////////////////////////////////////////////////////////////
178 //                                                416 //
179 // Constructor for G4Para                         417 // Constructor for G4Para
180                                                   418 
181 G4Trap::G4Trap( const G4String& pName,            419 G4Trap::G4Trap( const G4String& pName,
182                       G4double pDx, G4double p    420                       G4double pDx, G4double pDy,
183                       G4double pDz,               421                       G4double pDz,
184                       G4double pAlpha,            422                       G4double pAlpha,
185                       G4double pTheta, G4doubl    423                       G4double pTheta, G4double pPhi )
186   : G4CSGSolid(pName), halfCarTolerance(0.5*kC << 424   : G4CSGSolid(pName)       
187 {                                                 425 {
188   fDz = pDz;                                   << 426   G4bool good;
189   fTthetaCphi = std::tan(pTheta)*std::cos(pPhi << 427 
190   fTthetaSphi = std::tan(pTheta)*std::sin(pPhi << 428   if ( pDz<=0 || pDy<=0 || pDx<=0 )
                                                   >> 429   {
                                                   >> 430     std::ostringstream message;
                                                   >> 431     message << "Invalid length parameters for Solid: " << GetName();
                                                   >> 432     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 433                 FatalException, message);
                                                   >> 434   }
191                                                   435 
192   fDy1 = pDy; fDx1 = pDx; fDx2 = pDx; fTalpha1 << 436   fDz = pDz ;
193   fDy2 = pDy; fDx3 = pDx; fDx4 = pDx; fTalpha2 << 437   fTthetaCphi = std::tan(pTheta)*std::cos(pPhi) ;
                                                   >> 438   fTthetaSphi = std::tan(pTheta)*std::sin(pPhi) ;
                                                   >> 439      
                                                   >> 440   fDy1 = pDy ;
                                                   >> 441   fDx1 = pDx ;
                                                   >> 442   fDx2 = pDx ;
                                                   >> 443   fTalpha1 = std::tan(pAlpha) ;
                                                   >> 444     
                                                   >> 445   fDy2 = pDy ;
                                                   >> 446   fDx3 = pDx ;
                                                   >> 447   fDx4 = pDx ;
                                                   >> 448   fTalpha2 = fTalpha1 ;
                                                   >> 449 
                                                   >> 450   G4ThreeVector pt[8] ;
                                                   >> 451      
                                                   >> 452   pt[0]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 453                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 454   pt[1]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 455                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 456   pt[2]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 457                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 458   pt[3]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 459                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 460   pt[4]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 461                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 462   pt[5]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 463                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 464   pt[6]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 465                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 466   pt[7]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 467                       +fDz*fTthetaSphi+fDy2,+fDz);
194                                                   468 
195   CheckParameters();                           << 469   // Bottom side with normal approx. -Y
196   MakePlanes();                                << 470   //
                                                   >> 471   good=MakePlane(pt[0],pt[4],pt[5],pt[1],fPlanes[0]);
                                                   >> 472   if (!good)
                                                   >> 473   {
                                                   >> 474     std::ostringstream message;
                                                   >> 475     message << "Face at ~-Y not planar for Solid: " << GetName();
                                                   >> 476     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 477                 FatalException, message);
                                                   >> 478   }
                                                   >> 479 
                                                   >> 480   // Top side with normal approx. +Y
                                                   >> 481   //
                                                   >> 482   good=MakePlane(pt[2],pt[3],pt[7],pt[6],fPlanes[1]);
                                                   >> 483   if (!good)
                                                   >> 484   {
                                                   >> 485     std::ostringstream message;
                                                   >> 486     message << "Face at ~+Y not planar for Solid: " << GetName();
                                                   >> 487     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 488                 FatalException, message);
                                                   >> 489   }
                                                   >> 490 
                                                   >> 491   // Front side with normal approx. -X
                                                   >> 492   //
                                                   >> 493   good=MakePlane(pt[0],pt[2],pt[6],pt[4],fPlanes[2]);
                                                   >> 494   if (!good)
                                                   >> 495   {
                                                   >> 496     std::ostringstream message;
                                                   >> 497     message << "Face at ~-X not planar for Solid: " << GetName();
                                                   >> 498     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 499                 FatalException, message);
                                                   >> 500   }
                                                   >> 501 
                                                   >> 502   // Back side iwth normal approx. +X
                                                   >> 503   //
                                                   >> 504   good=MakePlane(pt[1],pt[5],pt[7],pt[3],fPlanes[3]);
                                                   >> 505   if (!good)
                                                   >> 506   {
                                                   >> 507     std::ostringstream message;
                                                   >> 508     message << "Face at ~+X not planar for Solid: " << GetName();
                                                   >> 509     G4Exception("G4Trap::G4Trap()", "GeomSolids0002",
                                                   >> 510                 FatalException, message);
                                                   >> 511   }
197 }                                                 512 }
198                                                   513 
199 ////////////////////////////////////////////// << 514 ///////////////////////////////////////////////////////////////////////////
200 //                                                515 //
201 // Nominal constructor for G4Trap whose parame    516 // Nominal constructor for G4Trap whose parameters are to be set by
202 // a G4VParamaterisation later.  Check and set    517 // a G4VParamaterisation later.  Check and set half-widths as well as
203 // angles: final check of coplanarity             518 // angles: final check of coplanarity
204                                                   519 
205 G4Trap::G4Trap( const G4String& pName )           520 G4Trap::G4Trap( const G4String& pName )
206   : G4CSGSolid (pName), halfCarTolerance(0.5*k << 521   : G4CSGSolid (pName), fDz(1.), fTthetaCphi(0.), fTthetaSphi(0.),
207     fDz(1.), fTthetaCphi(0.), fTthetaSphi(0.), << 
208     fDy1(1.), fDx1(1.), fDx2(1.), fTalpha1(0.)    522     fDy1(1.), fDx1(1.), fDx2(1.), fTalpha1(0.),
209     fDy2(1.), fDx3(1.), fDx4(1.), fTalpha2(0.)    523     fDy2(1.), fDx3(1.), fDx4(1.), fTalpha2(0.)
210 {                                                 524 {
211   MakePlanes();                                   525   MakePlanes();
212 }                                                 526 }
213                                                   527 
214 ////////////////////////////////////////////// << 528 ///////////////////////////////////////////////////////////////////////
215 //                                                529 //
216 // Fake default constructor - sets only member    530 // Fake default constructor - sets only member data and allocates memory
217 //                            for usage restri    531 //                            for usage restricted to object persistency.
218 //                                                532 //
219 G4Trap::G4Trap( __void__& a )                     533 G4Trap::G4Trap( __void__& a )
220   : G4CSGSolid(a), halfCarTolerance(0.5*kCarTo << 534   : G4CSGSolid(a), fDz(1.), fTthetaCphi(0.), fTthetaSphi(0.),
221     fDz(1.), fTthetaCphi(0.), fTthetaSphi(0.), << 
222     fDy1(1.), fDx1(1.), fDx2(1.), fTalpha1(0.)    535     fDy1(1.), fDx1(1.), fDx2(1.), fTalpha1(0.),
223     fDy2(1.), fDx3(1.), fDx4(1.), fTalpha2(0.)    536     fDy2(1.), fDx3(1.), fDx4(1.), fTalpha2(0.)
224 {                                                 537 {
225   MakePlanes();                                   538   MakePlanes();
226 }                                                 539 }
227                                                   540 
228 ////////////////////////////////////////////// << 541 ////////////////////////////////////////////////////////////////////////
229 //                                                542 //
230 // Destructor                                     543 // Destructor
231                                                   544 
232 G4Trap::~G4Trap() = default;                   << 545 G4Trap::~G4Trap()
                                                   >> 546 {
                                                   >> 547 }
233                                                   548 
234 //////////////////////////////////////////////    549 //////////////////////////////////////////////////////////////////////////
235 //                                                550 //
236 // Copy constructor                               551 // Copy constructor
237                                                   552 
238 G4Trap::G4Trap(const G4Trap& rhs)                 553 G4Trap::G4Trap(const G4Trap& rhs)
239   : G4CSGSolid(rhs), halfCarTolerance(rhs.half << 554   : G4CSGSolid(rhs), fDz(rhs.fDz),
240     fDz(rhs.fDz), fTthetaCphi(rhs.fTthetaCphi) << 555     fTthetaCphi(rhs.fTthetaCphi), fTthetaSphi(rhs.fTthetaSphi),
241     fDy1(rhs.fDy1), fDx1(rhs.fDx1), fDx2(rhs.f    556     fDy1(rhs.fDy1), fDx1(rhs.fDx1), fDx2(rhs.fDx2), fTalpha1(rhs.fTalpha1),
242     fDy2(rhs.fDy2), fDx3(rhs.fDx3), fDx4(rhs.f    557     fDy2(rhs.fDy2), fDx3(rhs.fDx3), fDx4(rhs.fDx4), fTalpha2(rhs.fTalpha2)
243 {                                                 558 {
244   for (G4int i=0; i<4; ++i) { fPlanes[i] = rhs << 559   for (size_t i=0; i<4; ++i)
245   for (G4int i=0; i<6; ++i) { fAreas[i] = rhs. << 560   {
246   fTrapType = rhs.fTrapType;                   << 561     fPlanes[i].a = rhs.fPlanes[i].a;
                                                   >> 562     fPlanes[i].b = rhs.fPlanes[i].b;
                                                   >> 563     fPlanes[i].c = rhs.fPlanes[i].c;
                                                   >> 564     fPlanes[i].d = rhs.fPlanes[i].d;
                                                   >> 565   }
247 }                                                 566 }
248                                                   567 
249 //////////////////////////////////////////////    568 //////////////////////////////////////////////////////////////////////////
250 //                                                569 //
251 // Assignment operator                            570 // Assignment operator
252                                                   571 
253 G4Trap& G4Trap::operator = (const G4Trap& rhs) << 572 G4Trap& G4Trap::operator = (const G4Trap& rhs) 
254 {                                                 573 {
255   // Check assignment to self                     574   // Check assignment to self
256   //                                              575   //
257   if (this == &rhs)  { return *this; }            576   if (this == &rhs)  { return *this; }
258                                                   577 
259   // Copy base class data                         578   // Copy base class data
260   //                                              579   //
261   G4CSGSolid::operator=(rhs);                     580   G4CSGSolid::operator=(rhs);
262                                                   581 
263   // Copy data                                    582   // Copy data
264   //                                              583   //
265   halfCarTolerance = rhs.halfCarTolerance;     << 584   fDz = rhs.fDz;
266   fDz = rhs.fDz; fTthetaCphi = rhs.fTthetaCphi << 585   fTthetaCphi = rhs.fTthetaCphi; fTthetaSphi = rhs.fTthetaSphi;
267   fDy1 = rhs.fDy1; fDx1 = rhs.fDx1; fDx2 = rhs    586   fDy1 = rhs.fDy1; fDx1 = rhs.fDx1; fDx2 = rhs.fDx2; fTalpha1 = rhs.fTalpha1;
268   fDy2 = rhs.fDy2; fDx3 = rhs.fDx3; fDx4 = rhs    587   fDy2 = rhs.fDy2; fDx3 = rhs.fDx3; fDx4 = rhs.fDx4; fTalpha2 = rhs.fTalpha2;
269   for (G4int i=0; i<4; ++i) { fPlanes[i] = rhs << 588   for (size_t i=0; i<4; ++i)
270   for (G4int i=0; i<6; ++i) { fAreas[i] = rhs. << 589   {
271   fTrapType = rhs.fTrapType;                   << 590     fPlanes[i].a = rhs.fPlanes[i].a;
                                                   >> 591     fPlanes[i].b = rhs.fPlanes[i].b;
                                                   >> 592     fPlanes[i].c = rhs.fPlanes[i].c;
                                                   >> 593     fPlanes[i].d = rhs.fPlanes[i].d;
                                                   >> 594   }
                                                   >> 595 
272   return *this;                                   596   return *this;
273 }                                                 597 }
274                                                   598 
275 ////////////////////////////////////////////// << 599 ///////////////////////////////////////////////////////////////////////
276 //                                                600 //
277 // Set all parameters, as for constructor - ch    601 // Set all parameters, as for constructor - check and set half-widths
278 // as well as angles: final check of coplanari    602 // as well as angles: final check of coplanarity
279                                                   603 
280 void G4Trap::SetAllParameters ( G4double pDz,     604 void G4Trap::SetAllParameters ( G4double pDz,
281                                 G4double pThet    605                                 G4double pTheta,
282                                 G4double pPhi,    606                                 G4double pPhi,
283                                 G4double pDy1,    607                                 G4double pDy1,
284                                 G4double pDx1,    608                                 G4double pDx1,
285                                 G4double pDx2,    609                                 G4double pDx2,
286                                 G4double pAlp1    610                                 G4double pAlp1,
287                                 G4double pDy2,    611                                 G4double pDy2,
288                                 G4double pDx3,    612                                 G4double pDx3,
289                                 G4double pDx4,    613                                 G4double pDx4,
290                                 G4double pAlp2    614                                 G4double pAlp2 )
291 {                                                 615 {
292   // Reset data of the base class              << 616   if ( pDz<=0 || pDy1<=0 || pDx1<=0 || pDx2<=0 || pDy2<=0 || pDx3<=0 || pDx4<=0 )
293   fCubicVolume = 0;                            << 617   {
294   fSurfaceArea = 0;                            << 618     std::ostringstream message;
                                                   >> 619     message << "Invalid Length Parameters for Solid: " << GetName() << G4endl
                                                   >> 620             << "        X - "
                                                   >> 621             << pDx1 << ", " << pDx2 << ", " << pDx3 << ", " << pDx4 << G4endl
                                                   >> 622             << "          Y - " << pDy1 << ", " << pDy2 << G4endl
                                                   >> 623             << "          Z - " << pDz;
                                                   >> 624     G4Exception("G4Trap::SetAllParameters()", "GeomSolids0002",
                                                   >> 625                 FatalException, message);
                                                   >> 626   }
                                                   >> 627   fCubicVolume= 0.;
                                                   >> 628   fSurfaceArea= 0.;
295   fRebuildPolyhedron = true;                      629   fRebuildPolyhedron = true;
                                                   >> 630   fDz=pDz;
                                                   >> 631   fTthetaCphi=std::tan(pTheta)*std::cos(pPhi);
                                                   >> 632   fTthetaSphi=std::tan(pTheta)*std::sin(pPhi);
                                                   >> 633      
                                                   >> 634   fDy1=pDy1;
                                                   >> 635   fDx1=pDx1;
                                                   >> 636   fDx2=pDx2;
                                                   >> 637   fTalpha1=std::tan(pAlp1);
                                                   >> 638     
                                                   >> 639   fDy2=pDy2;
                                                   >> 640   fDx3=pDx3;
                                                   >> 641   fDx4=pDx4;
                                                   >> 642   fTalpha2=std::tan(pAlp2);
296                                                   643 
297   // Set parameters                            << 
298   fDz = pDz;                                   << 
299   fTthetaCphi = std::tan(pTheta)*std::cos(pPhi << 
300   fTthetaSphi = std::tan(pTheta)*std::sin(pPhi << 
301                                                << 
302   fDy1 = pDy1; fDx1 = pDx1; fDx2 = pDx2; fTalp << 
303   fDy2 = pDy2; fDx3 = pDx3; fDx4 = pDx4; fTalp << 
304                                                << 
305   CheckParameters();                           << 
306   MakePlanes();                                   644   MakePlanes();
307 }                                                 645 }
308                                                   646 
309 //////////////////////////////////////////////    647 //////////////////////////////////////////////////////////////////////////
310 //                                                648 //
311 // Check length parameters                     << 649 // Checking of coplanarity
312                                                   650 
313 void G4Trap::CheckParameters()                 << 651 G4bool G4Trap::MakePlanes()
314 {                                                 652 {
315   if (fDz<=0 ||                                << 653   G4bool good = true;
316       fDy1<=0 || fDx1<=0 || fDx2<=0 ||         << 654 
317       fDy2<=0 || fDx3<=0 || fDx4<=0)           << 655   G4ThreeVector pt[8] ;
                                                   >> 656      
                                                   >> 657   pt[0]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 658                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 659   pt[1]=G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 660                       -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 661   pt[2]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 662                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 663   pt[3]=G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 664                       -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 665   pt[4]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 666                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 667   pt[5]=G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 668                       +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 669   pt[6]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 670                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 671   pt[7]=G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 672                       +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 673 
                                                   >> 674   // Bottom side with normal approx. -Y
                                                   >> 675   //
                                                   >> 676   good=MakePlane(pt[0],pt[4],pt[5],pt[1],fPlanes[0]) ;
                                                   >> 677   if (!good)
318   {                                               678   {
319     std::ostringstream message;                   679     std::ostringstream message;
320     message << "Invalid Length Parameters for  << 680     message << "Face at ~-Y not planar for Solid: " << GetName();
321             << "\n  X - " <<fDx1<<", "<<fDx2<< << 681     G4Exception("G4Trap::MakePlanes()", "GeomSolids0002",
322             << "\n  Y - " <<fDy1<<", "<<fDy2   << 
323             << "\n  Z - " <<fDz;               << 
324     G4Exception("G4Trap::CheckParameters()", " << 
325                 FatalException, message);         682                 FatalException, message);
326   }                                               683   }
327 }                                              << 
328                                                << 
329 ////////////////////////////////////////////// << 
330 //                                             << 
331 // Compute vertices and set side planes        << 
332                                                << 
333 void G4Trap::MakePlanes()                      << 
334 {                                              << 
335   G4double DzTthetaCphi = fDz*fTthetaCphi;     << 
336   G4double DzTthetaSphi = fDz*fTthetaSphi;     << 
337   G4double Dy1Talpha1   = fDy1*fTalpha1;       << 
338   G4double Dy2Talpha2   = fDy2*fTalpha2;       << 
339                                                << 
340   G4ThreeVector pt[8] =                        << 
341   {                                            << 
342     G4ThreeVector(-DzTthetaCphi-Dy1Talpha1-fDx << 
343     G4ThreeVector(-DzTthetaCphi-Dy1Talpha1+fDx << 
344     G4ThreeVector(-DzTthetaCphi+Dy1Talpha1-fDx << 
345     G4ThreeVector(-DzTthetaCphi+Dy1Talpha1+fDx << 
346     G4ThreeVector( DzTthetaCphi-Dy2Talpha2-fDx << 
347     G4ThreeVector( DzTthetaCphi-Dy2Talpha2+fDx << 
348     G4ThreeVector( DzTthetaCphi+Dy2Talpha2-fDx << 
349     G4ThreeVector( DzTthetaCphi+Dy2Talpha2+fDx << 
350   };                                           << 
351                                                << 
352   MakePlanes(pt);                              << 
353 }                                              << 
354                                                << 
355 ////////////////////////////////////////////// << 
356 //                                             << 
357 // Set side planes, check planarity            << 
358                                                   684 
359 void G4Trap::MakePlanes(const G4ThreeVector pt << 685   // Top side with normal approx. +Y
360 {                                              << 686   //
361   constexpr G4int iface[4][4] = { {0,4,5,1}, { << 687   good=MakePlane(pt[2],pt[3],pt[7],pt[6],fPlanes[1]);
362   const static G4String side[4] = { "~-Y", "~+ << 688   if (!good)
363                                                << 
364   for (G4int i=0; i<4; ++i)                    << 
365   {                                               689   {
366     if (MakePlane(pt[iface[i][0]],             << 690     std::ostringstream message;
367                   pt[iface[i][1]],             << 691     message << "Face at ~+Y not planar for Solid: " << GetName();
368                   pt[iface[i][2]],             << 692     G4Exception("G4Trap::MakePlanes()", "GeomSolids0002",
369                   pt[iface[i][3]],             << 693                 FatalException, message);
370                   fPlanes[i])) continue;       << 694   }
371                                                   695 
372     // Non planar side face                    << 696   // Front side with normal approx. -X
373     G4ThreeVector normal(fPlanes[i].a,fPlanes[ << 697   //
374     G4double dmax = 0;                         << 698   good=MakePlane(pt[0],pt[2],pt[6],pt[4],fPlanes[2]);
375     for (G4int k=0; k<4; ++k)                  << 699   if (!good)
376     {                                          << 700   {
377       G4double dist = normal.dot(pt[iface[i][k << 
378       if (std::abs(dist) > std::abs(dmax)) dma << 
379     }                                          << 
380     std::ostringstream message;                   701     std::ostringstream message;
381     message << "Side face " << side[i] << " is << 702     message << "Face at ~-X not planar for Solid: " << GetName();
382             << GetName() << "\nDiscrepancy: "  << 703     G4Exception("G4Trap::MakePlanes()", "GeomSolids0002",
383     StreamInfo(message);                       << 704                 FatalException, message);
                                                   >> 705   }
                                                   >> 706    
                                                   >> 707   // Back side iwth normal approx. +X
                                                   >> 708   //
                                                   >> 709   good = MakePlane(pt[1],pt[5],pt[7],pt[3],fPlanes[3]);
                                                   >> 710   if ( !good )
                                                   >> 711   {
                                                   >> 712     std::ostringstream message;
                                                   >> 713     message << "Face at ~+X not planar for Solid: " << GetName();
384     G4Exception("G4Trap::MakePlanes()", "GeomS    714     G4Exception("G4Trap::MakePlanes()", "GeomSolids0002",
385                 FatalException, message);         715                 FatalException, message);
386   }                                               716   }
387                                                   717 
388   // Re-compute parameters                     << 718   return good;
389   SetCachedValues();                           << 
390 }                                                 719 }
391                                                   720 
392 ////////////////////////////////////////////// << 721 //////////////////////////////////////////////////////////////////////////////
393 //                                                722 //
394 // Calculate the coef's of the plane p1->p2->p    723 // Calculate the coef's of the plane p1->p2->p3->p4->p1
395 // where the ThreeVectors 1-4 are in anti-cloc << 724 // where the ThreeVectors 1-4 are in anti-clockwise order when viewed from
396 // from infront of the plane (i.e. from normal << 725 // infront of the plane (i.e. from normal direction).
397 //                                                726 //
398 // Return true if the points are coplanar, fal << 727 // Return true if the ThreeVectors are coplanar + set coef;s
                                                   >> 728 //        false if ThreeVectors are not coplanar
399                                                   729 
400 G4bool G4Trap::MakePlane( const G4ThreeVector&    730 G4bool G4Trap::MakePlane( const G4ThreeVector& p1,
401                           const G4ThreeVector&    731                           const G4ThreeVector& p2,
402                           const G4ThreeVector&    732                           const G4ThreeVector& p3,
403                           const G4ThreeVector&    733                           const G4ThreeVector& p4,
404                                 TrapSidePlane&    734                                 TrapSidePlane& plane )
405 {                                                 735 {
406   G4ThreeVector normal = ((p4 - p2).cross(p3 - << 736   G4double a, b, c, sd;
407   if (std::abs(normal.x()) < DBL_EPSILON) norm << 737   G4ThreeVector v12, v13, v14, Vcross;
408   if (std::abs(normal.y()) < DBL_EPSILON) norm << 
409   if (std::abs(normal.z()) < DBL_EPSILON) norm << 
410   normal = normal.unit();                      << 
411                                                << 
412   G4ThreeVector centre = (p1 + p2 + p3 + p4)*0 << 
413   plane.a =  normal.x();                       << 
414   plane.b =  normal.y();                       << 
415   plane.c =  normal.z();                       << 
416   plane.d = -normal.dot(centre);               << 
417                                                << 
418   // compute distances and check planarity     << 
419   G4double d1 = std::abs(normal.dot(p1) + plan << 
420   G4double d2 = std::abs(normal.dot(p2) + plan << 
421   G4double d3 = std::abs(normal.dot(p3) + plan << 
422   G4double d4 = std::abs(normal.dot(p4) + plan << 
423   G4double dmax = std::max(std::max(std::max(d << 
424                                                   738 
425   return dmax <= 1000 * kCarTolerance;         << 739   G4bool good;
426 }                                              << 
427                                                   740 
428 ////////////////////////////////////////////// << 741   v12    = p2 - p1;
429 //                                             << 742   v13    = p3 - p1;
430 // Recompute parameters using planes           << 743   v14    = p4 - p1;
431                                                << 744   Vcross = v12.cross(v13);
432 void G4Trap::SetCachedValues()                 << 
433 {                                              << 
434   // Set indeces                               << 
435   constexpr  G4int iface[6][4] =               << 
436       { {0,1,3,2}, {0,4,5,1}, {2,3,7,6}, {0,2, << 
437                                                   745 
438   // Get vertices                              << 746   if (std::fabs(Vcross.dot(v14)/(Vcross.mag()*v14.mag())) > kCoplanar_Tolerance)
439   G4ThreeVector pt[8];                         << 
440   GetVertices(pt);                             << 
441                                                << 
442   // Set face areas                            << 
443   for (G4int i=0; i<6; ++i)                    << 
444   {                                               747   {
445     fAreas[i] = G4GeomTools::QuadAreaNormal(pt << 748     good = false;
446                                             pt << 
447                                             pt << 
448                                             pt << 
449   }                                            << 
450   for (G4int i=1; i<6; ++i) { fAreas[i] += fAr << 
451                                                << 
452   // Define type of trapezoid                  << 
453   fTrapType = 0;                               << 
454   if (fPlanes[0].b  == -1 && fPlanes[1].b == 1 << 
455       std::abs(fPlanes[0].a) < DBL_EPSILON &&  << 
456       std::abs(fPlanes[0].c) < DBL_EPSILON &&  << 
457       std::abs(fPlanes[1].a) < DBL_EPSILON &&  << 
458       std::abs(fPlanes[1].c) < DBL_EPSILON)    << 
459   {                                            << 
460     fTrapType = 1; // YZ section is a rectangl << 
461     if (std::abs(fPlanes[2].a + fPlanes[3].a)  << 
462         std::abs(fPlanes[2].c - fPlanes[3].c)  << 
463         fPlanes[2].b == 0 &&                   << 
464         fPlanes[3].b == 0)                     << 
465     {                                          << 
466       fTrapType = 2; // ... and XZ section is  << 
467       fPlanes[2].a = -fPlanes[3].a;            << 
468       fPlanes[2].c =  fPlanes[3].c;            << 
469     }                                          << 
470     if (std::abs(fPlanes[2].a + fPlanes[3].a)  << 
471         std::abs(fPlanes[2].b - fPlanes[3].b)  << 
472         fPlanes[2].c == 0 &&                   << 
473         fPlanes[3].c == 0)                     << 
474     {                                          << 
475       fTrapType = 3; // ... and XY section is  << 
476       fPlanes[2].a = -fPlanes[3].a;            << 
477       fPlanes[2].b =  fPlanes[3].b;            << 
478     }                                          << 
479   }                                               749   }
480 }                                              << 750   else
481                                                << 
482 ////////////////////////////////////////////// << 
483 //                                             << 
484 // Get volume                                  << 
485                                                << 
486 G4double G4Trap::GetCubicVolume()              << 
487 {                                              << 
488   if (fCubicVolume == 0)                       << 
489   {                                            << 
490     G4ThreeVector pt[8];                       << 
491     GetVertices(pt);                           << 
492                                                << 
493     G4double dz  = pt[4].z() - pt[0].z();      << 
494     G4double dy1 = pt[2].y() - pt[0].y();      << 
495     G4double dx1 = pt[1].x() - pt[0].x();      << 
496     G4double dx2 = pt[3].x() - pt[2].x();      << 
497     G4double dy2 = pt[6].y() - pt[4].y();      << 
498     G4double dx3 = pt[5].x() - pt[4].x();      << 
499     G4double dx4 = pt[7].x() - pt[6].x();      << 
500                                                << 
501     fCubicVolume = ((dx1 + dx2 + dx3 + dx4)*(d << 
502                     (dx4 + dx3 - dx2 - dx1)*(d << 
503   }                                            << 
504   return fCubicVolume;                         << 
505 }                                              << 
506                                                << 
507 ////////////////////////////////////////////// << 
508 //                                             << 
509 // Get surface area                            << 
510                                                << 
511 G4double G4Trap::GetSurfaceArea()              << 
512 {                                              << 
513   if (fSurfaceArea == 0)                       << 
514   {                                               751   {
515     G4ThreeVector pt[8];                       << 752     // a,b,c correspond to the x/y/z components of the
516     G4int iface [6][4] =                       << 753     // normal vector to the plane
517       { {0,1,3,2}, {0,4,5,1}, {2,3,7,6}, {0,2, << 754      
518                                                << 755     // a  = (p2.y()-p1.y())*(p1.z()+p2.z())+(p3.y()-p2.y())*(p2.z()+p3.z());
519     GetVertices(pt);                           << 756     // a += (p4.y()-p3.y())*(p3.z()+p4.z())+(p1.y()-p4.y())*(p4.z()+p1.z()); // ?   
520     for (const auto & i : iface)               << 757     // b  = (p2.z()-p1.z())*(p1.x()+p2.x())+(p3.z()-p2.z())*(p2.x()+p3.x());
                                                   >> 758     // b += (p4.z()-p3.z())*(p3.x()+p4.x())+(p1.z()-p4.z())*(p4.x()+p1.x()); // ?      
                                                   >> 759     // c  = (p2.x()-p1.x())*(p1.y()+p2.y())+(p3.x()-p2.x())*(p2.y()+p3.y());
                                                   >> 760     // c += (p4.x()-p3.x())*(p3.y()+p4.y())+(p1.x()-p4.x())*(p4.y()+p1.y()); // ?
                                                   >> 761 
                                                   >> 762     // Let create diagonals 4-2 and 3-1 than (4-2)x(3-1) provides
                                                   >> 763     // vector perpendicular to the plane directed to outside !!!
                                                   >> 764     // and a,b,c, = f(1,2,3,4) external relative to trap normal
                                                   >> 765 
                                                   >> 766     a = +(p4.y() - p2.y())*(p3.z() - p1.z())
                                                   >> 767         - (p3.y() - p1.y())*(p4.z() - p2.z());
                                                   >> 768 
                                                   >> 769     b = -(p4.x() - p2.x())*(p3.z() - p1.z())
                                                   >> 770         + (p3.x() - p1.x())*(p4.z() - p2.z());
                                                   >> 771  
                                                   >> 772     c = +(p4.x() - p2.x())*(p3.y() - p1.y())
                                                   >> 773         - (p3.x() - p1.x())*(p4.y() - p2.y());
                                                   >> 774 
                                                   >> 775     sd = std::sqrt( a*a + b*b + c*c ); // so now vector plane.(a,b,c) is unit 
                                                   >> 776 
                                                   >> 777     if( sd > 0 )
                                                   >> 778     {
                                                   >> 779       plane.a = a/sd;
                                                   >> 780       plane.b = b/sd;
                                                   >> 781       plane.c = c/sd;
                                                   >> 782     }
                                                   >> 783     else
521     {                                             784     {
522       fSurfaceArea += G4GeomTools::QuadAreaNor << 785       std::ostringstream message;
523                                                << 786       message << "Invalid parameters: norm.mod() <= 0, for Solid: "
524                                                << 787               << GetName();
525                                                << 788       G4Exception("G4Trap::MakePlanes()", "GeomSolids0002",
                                                   >> 789                   FatalException, message) ;
526     }                                             790     }
                                                   >> 791     // Calculate D: p1 in in plane so D=-n.p1.Vect()
                                                   >> 792     
                                                   >> 793     plane.d = -( plane.a*p1.x() + plane.b*p1.y() + plane.c*p1.z() );
                                                   >> 794 
                                                   >> 795     good = true;
527   }                                               796   }
528   return fSurfaceArea;                         << 797   return good;
529 }                                                 798 }
530                                                   799 
531 ////////////////////////////////////////////// << 800 //////////////////////////////////////////////////////////////////////////////
532 //                                                801 //
533 // Dispatch to parameterisation for replicatio    802 // Dispatch to parameterisation for replication mechanism dimension
534 // computation & modification.                    803 // computation & modification.
535                                                   804 
536 void G4Trap::ComputeDimensions(       G4VPVPar    805 void G4Trap::ComputeDimensions(       G4VPVParameterisation* p,
537                                 const G4int n,    806                                 const G4int n,
538                                 const G4VPhysi    807                                 const G4VPhysicalVolume* pRep )
539 {                                                 808 {
540   p->ComputeDimensions(*this,n,pRep);             809   p->ComputeDimensions(*this,n,pRep);
541 }                                                 810 }
542                                                   811 
543 ////////////////////////////////////////////// << 
544 //                                             << 
545 // Get bounding box                            << 
546                                                << 
547 void G4Trap::BoundingLimits(G4ThreeVector& pMi << 
548 {                                              << 
549   G4ThreeVector pt[8];                         << 
550   GetVertices(pt);                             << 
551                                                << 
552   G4double xmin = kInfinity, xmax = -kInfinity << 
553   G4double ymin = kInfinity, ymax = -kInfinity << 
554   for (const auto & i : pt)                    << 
555   {                                            << 
556     G4double x = i.x();                        << 
557     if (x < xmin) xmin = x;                    << 
558     if (x > xmax) xmax = x;                    << 
559     G4double y = i.y();                        << 
560     if (y < ymin) ymin = y;                    << 
561     if (y > ymax) ymax = y;                    << 
562   }                                            << 
563                                                << 
564   G4double dz   = GetZHalfLength();            << 
565   pMin.set(xmin,ymin,-dz);                     << 
566   pMax.set(xmax,ymax, dz);                     << 
567                                                   812 
568   // Check correctness of the bounding box     << 813 ////////////////////////////////////////////////////////////////////////
569   //                                           << 
570   if (pMin.x() >= pMax.x() || pMin.y() >= pMax << 
571   {                                            << 
572     std::ostringstream message;                << 
573     message << "Bad bounding box (min >= max)  << 
574             << GetName() << " !"               << 
575             << "\npMin = " << pMin             << 
576             << "\npMax = " << pMax;            << 
577     G4Exception("G4Trap::BoundingLimits()", "G << 
578                 JustWarning, message);         << 
579     DumpInfo();                                << 
580   }                                            << 
581 }                                              << 
582                                                << 
583 ////////////////////////////////////////////// << 
584 //                                                814 //
585 // Calculate extent under transform and specif    815 // Calculate extent under transform and specified limit
586                                                   816 
587 G4bool G4Trap::CalculateExtent( const EAxis pA    817 G4bool G4Trap::CalculateExtent( const EAxis pAxis,
588                                 const G4VoxelL    818                                 const G4VoxelLimits& pVoxelLimit,
589                                 const G4Affine    819                                 const G4AffineTransform& pTransform,
590                                       G4double    820                                       G4double& pMin, G4double& pMax) const
591 {                                                 821 {
592   G4ThreeVector bmin, bmax;                    << 822   G4double xMin, xMax, yMin, yMax, zMin, zMax;
593   G4bool exist;                                << 823   G4bool flag;
594                                                   824 
595   // Check bounding box (bbox)                 << 825   if (!pTransform.IsRotated())
596   //                                           << 826   {  
597   BoundingLimits(bmin,bmax);                   << 827     // Special case handling for unrotated trapezoids
598   G4BoundingEnvelope bbox(bmin,bmax);          << 828     // Compute z/x/y/ mins and maxs respecting limits, with early returns
599 #ifdef G4BBOX_EXTENT                           << 829     // if outside limits. Then switch() on pAxis
600   return bbox.CalculateExtent(pAxis,pVoxelLimi << 830 
601 #endif                                         << 831     G4int i ; 
602   if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVox << 832     G4double xoffset;
603   {                                            << 833     G4double yoffset;
604     return exist = pMin < pMax;                << 834     G4double zoffset;
                                                   >> 835     G4double temp[8] ;     // some points for intersection with zMin/zMax
                                                   >> 836     G4ThreeVector pt[8];   // vertices after translation
                                                   >> 837     
                                                   >> 838     xoffset=pTransform.NetTranslation().x();      
                                                   >> 839     yoffset=pTransform.NetTranslation().y();
                                                   >> 840     zoffset=pTransform.NetTranslation().z();
                                                   >> 841  
                                                   >> 842     pt[0]=G4ThreeVector(xoffset-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 843                         yoffset-fDz*fTthetaSphi-fDy1,zoffset-fDz);
                                                   >> 844     pt[1]=G4ThreeVector(xoffset-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 845                         yoffset-fDz*fTthetaSphi-fDy1,zoffset-fDz);
                                                   >> 846     pt[2]=G4ThreeVector(xoffset-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 847                         yoffset-fDz*fTthetaSphi+fDy1,zoffset-fDz);
                                                   >> 848     pt[3]=G4ThreeVector(xoffset-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 849                         yoffset-fDz*fTthetaSphi+fDy1,zoffset-fDz);
                                                   >> 850     pt[4]=G4ThreeVector(xoffset+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 851                         yoffset+fDz*fTthetaSphi-fDy2,zoffset+fDz);
                                                   >> 852     pt[5]=G4ThreeVector(xoffset+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 853                         yoffset+fDz*fTthetaSphi-fDy2,zoffset+fDz);
                                                   >> 854     pt[6]=G4ThreeVector(xoffset+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 855                         yoffset+fDz*fTthetaSphi+fDy2,zoffset+fDz);
                                                   >> 856     pt[7]=G4ThreeVector(xoffset+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 857                         yoffset+fDz*fTthetaSphi+fDy2,zoffset+fDz);
                                                   >> 858     zMin=zoffset-fDz;
                                                   >> 859     zMax=zoffset+fDz;
                                                   >> 860 
                                                   >> 861     if ( pVoxelLimit.IsZLimited() )
                                                   >> 862     {
                                                   >> 863       if ( (zMin > pVoxelLimit.GetMaxZExtent() + kCarTolerance)
                                                   >> 864         || (zMax < pVoxelLimit.GetMinZExtent() - kCarTolerance) )
                                                   >> 865       {
                                                   >> 866         return false;
                                                   >> 867       }
                                                   >> 868       else
                                                   >> 869       {
                                                   >> 870         if ( zMin < pVoxelLimit.GetMinZExtent() )
                                                   >> 871         {
                                                   >> 872           zMin = pVoxelLimit.GetMinZExtent() ;
                                                   >> 873         }
                                                   >> 874         if ( zMax > pVoxelLimit.GetMaxZExtent() )
                                                   >> 875         {
                                                   >> 876           zMax = pVoxelLimit.GetMaxZExtent() ;
                                                   >> 877         }
                                                   >> 878       }
                                                   >> 879     }
                                                   >> 880     temp[0] = pt[0].y()+(pt[4].y()-pt[0].y())*(zMin-pt[0].z())
                                                   >> 881                        /(pt[4].z()-pt[0].z()) ;
                                                   >> 882     temp[1] = pt[0].y()+(pt[4].y()-pt[0].y())*(zMax-pt[0].z())
                                                   >> 883                        /(pt[4].z()-pt[0].z()) ;
                                                   >> 884     temp[2] = pt[2].y()+(pt[6].y()-pt[2].y())*(zMin-pt[2].z())
                                                   >> 885                        /(pt[6].z()-pt[2].z()) ;
                                                   >> 886     temp[3] = pt[2].y()+(pt[6].y()-pt[2].y())*(zMax-pt[2].z())
                                                   >> 887                        /(pt[6].z()-pt[2].z()) ;
                                                   >> 888 
                                                   >> 889     yMax = yoffset - std::fabs(fDz*fTthetaSphi) - fDy1 - fDy2 ;
                                                   >> 890     yMin = -yMax ;
                                                   >> 891 
                                                   >> 892     for( i = 0 ; i < 4 ; i++ )
                                                   >> 893     {
                                                   >> 894       if( temp[i] > yMax ) yMax = temp[i] ;
                                                   >> 895       if( temp[i] < yMin ) yMin = temp[i] ;
                                                   >> 896     }    
                                                   >> 897     if ( pVoxelLimit.IsYLimited() )
                                                   >> 898     {
                                                   >> 899       if ( (yMin > pVoxelLimit.GetMaxYExtent() + kCarTolerance)
                                                   >> 900         || (yMax < pVoxelLimit.GetMinYExtent() - kCarTolerance) )
                                                   >> 901       {
                                                   >> 902         return false;
                                                   >> 903       }
                                                   >> 904       else
                                                   >> 905       {
                                                   >> 906         if ( yMin < pVoxelLimit.GetMinYExtent() )
                                                   >> 907         {
                                                   >> 908           yMin = pVoxelLimit.GetMinYExtent() ;
                                                   >> 909         }
                                                   >> 910         if ( yMax > pVoxelLimit.GetMaxYExtent() )
                                                   >> 911         {
                                                   >> 912           yMax = pVoxelLimit.GetMaxYExtent() ;
                                                   >> 913         }
                                                   >> 914       }
                                                   >> 915     }
                                                   >> 916     temp[0] = pt[0].x()+(pt[4].x()-pt[0].x())
                                                   >> 917                        *(zMin-pt[0].z())/(pt[4].z()-pt[0].z()) ;
                                                   >> 918     temp[1] = pt[0].x()+(pt[4].x()-pt[0].x())
                                                   >> 919                        *(zMax-pt[0].z())/(pt[4].z()-pt[0].z()) ;
                                                   >> 920     temp[2] = pt[2].x()+(pt[6].x()-pt[2].x())
                                                   >> 921                        *(zMin-pt[2].z())/(pt[6].z()-pt[2].z()) ;
                                                   >> 922     temp[3] = pt[2].x()+(pt[6].x()-pt[2].x())
                                                   >> 923                        *(zMax-pt[2].z())/(pt[6].z()-pt[2].z()) ;
                                                   >> 924     temp[4] = pt[3].x()+(pt[7].x()-pt[3].x())
                                                   >> 925                        *(zMin-pt[3].z())/(pt[7].z()-pt[3].z()) ;
                                                   >> 926     temp[5] = pt[3].x()+(pt[7].x()-pt[3].x())
                                                   >> 927                        *(zMax-pt[3].z())/(pt[7].z()-pt[3].z()) ;
                                                   >> 928     temp[6] = pt[1].x()+(pt[5].x()-pt[1].x())
                                                   >> 929                        *(zMin-pt[1].z())/(pt[5].z()-pt[1].z()) ;
                                                   >> 930     temp[7] = pt[1].x()+(pt[5].x()-pt[1].x())
                                                   >> 931                        *(zMax-pt[1].z())/(pt[5].z()-pt[1].z()) ;
                                                   >> 932       
                                                   >> 933     xMax = xoffset - std::fabs(fDz*fTthetaCphi) - fDx1 - fDx2 -fDx3 - fDx4 ;
                                                   >> 934     xMin = -xMax ;
                                                   >> 935 
                                                   >> 936     for( i = 0 ; i < 8 ; i++ )
                                                   >> 937     {
                                                   >> 938       if( temp[i] > xMax) xMax = temp[i] ;
                                                   >> 939       if( temp[i] < xMin) xMin = temp[i] ;
                                                   >> 940     }                                            
                                                   >> 941     if (pVoxelLimit.IsXLimited())   // xMax/Min = f(yMax/Min) ?
                                                   >> 942     {
                                                   >> 943       if ( (xMin > pVoxelLimit.GetMaxXExtent() + kCarTolerance)
                                                   >> 944         || (xMax < pVoxelLimit.GetMinXExtent() - kCarTolerance) )
                                                   >> 945       {
                                                   >> 946         return false;
                                                   >> 947       }
                                                   >> 948       else
                                                   >> 949       {
                                                   >> 950         if ( xMin < pVoxelLimit.GetMinXExtent() )
                                                   >> 951         {
                                                   >> 952           xMin = pVoxelLimit.GetMinXExtent() ;
                                                   >> 953         }
                                                   >> 954         if ( xMax > pVoxelLimit.GetMaxXExtent() )
                                                   >> 955         {
                                                   >> 956           xMax = pVoxelLimit.GetMaxXExtent() ;
                                                   >> 957         }
                                                   >> 958       }
                                                   >> 959     }
                                                   >> 960     switch (pAxis)
                                                   >> 961     {
                                                   >> 962       case kXAxis:
                                                   >> 963         pMin=xMin;
                                                   >> 964         pMax=xMax;
                                                   >> 965         break;
                                                   >> 966 
                                                   >> 967       case kYAxis:
                                                   >> 968         pMin=yMin;
                                                   >> 969         pMax=yMax;
                                                   >> 970         break;
                                                   >> 971 
                                                   >> 972       case kZAxis:
                                                   >> 973         pMin=zMin;
                                                   >> 974         pMax=zMax;
                                                   >> 975         break;
                                                   >> 976 
                                                   >> 977       default:
                                                   >> 978         break;
                                                   >> 979     }
                                                   >> 980     pMin -= kCarTolerance;
                                                   >> 981     pMax += kCarTolerance;
                                                   >> 982 
                                                   >> 983     flag = true;
605   }                                               984   }
                                                   >> 985   else    // General rotated case -
                                                   >> 986   {
                                                   >> 987     G4bool existsAfterClip = false ;
                                                   >> 988     G4ThreeVectorList*       vertices;
                                                   >> 989     pMin                   = +kInfinity;
                                                   >> 990     pMax                   = -kInfinity;
                                                   >> 991       
                                                   >> 992     // Calculate rotated vertex coordinates. Operator 'new' is called
                                                   >> 993 
                                                   >> 994     vertices = CreateRotatedVertices(pTransform);
                                                   >> 995       
                                                   >> 996     xMin = +kInfinity; yMin = +kInfinity; zMin = +kInfinity;
                                                   >> 997     xMax = -kInfinity; yMax = -kInfinity; zMax = -kInfinity;
                                                   >> 998       
                                                   >> 999     for( G4int nv = 0 ; nv < 8 ; nv++ )
                                                   >> 1000     { 
                                                   >> 1001       if( (*vertices)[nv].x() > xMax ) xMax = (*vertices)[nv].x();
                                                   >> 1002       if( (*vertices)[nv].y() > yMax ) yMax = (*vertices)[nv].y();
                                                   >> 1003       if( (*vertices)[nv].z() > zMax ) zMax = (*vertices)[nv].z();
                                                   >> 1004       
                                                   >> 1005       if( (*vertices)[nv].x() < xMin ) xMin = (*vertices)[nv].x();
                                                   >> 1006       if( (*vertices)[nv].y() < yMin ) yMin = (*vertices)[nv].y();
                                                   >> 1007       if( (*vertices)[nv].z() < zMin ) zMin = (*vertices)[nv].z();
                                                   >> 1008     }
                                                   >> 1009     if ( pVoxelLimit.IsZLimited() )
                                                   >> 1010     {
                                                   >> 1011       if ( (zMin > pVoxelLimit.GetMaxZExtent() + kCarTolerance)
                                                   >> 1012         || (zMax < pVoxelLimit.GetMinZExtent() - kCarTolerance) )
                                                   >> 1013       {
                                                   >> 1014         delete vertices ;    //  'new' in the function called
                                                   >> 1015         return false;
                                                   >> 1016       }
                                                   >> 1017       else
                                                   >> 1018       {
                                                   >> 1019         if ( zMin < pVoxelLimit.GetMinZExtent() )
                                                   >> 1020         {
                                                   >> 1021           zMin = pVoxelLimit.GetMinZExtent() ;
                                                   >> 1022         }
                                                   >> 1023         if ( zMax > pVoxelLimit.GetMaxZExtent() )
                                                   >> 1024         {
                                                   >> 1025           zMax = pVoxelLimit.GetMaxZExtent() ;
                                                   >> 1026         }
                                                   >> 1027       }
                                                   >> 1028     } 
                                                   >> 1029     if ( pVoxelLimit.IsYLimited() )
                                                   >> 1030     {
                                                   >> 1031       if ( (yMin > pVoxelLimit.GetMaxYExtent() + kCarTolerance)
                                                   >> 1032         || (yMax < pVoxelLimit.GetMinYExtent() - kCarTolerance) )
                                                   >> 1033       {
                                                   >> 1034         delete vertices ;    //  'new' in the function called
                                                   >> 1035         return false;
                                                   >> 1036       }
                                                   >> 1037       else
                                                   >> 1038       {
                                                   >> 1039         if ( yMin < pVoxelLimit.GetMinYExtent() )
                                                   >> 1040         {
                                                   >> 1041           yMin = pVoxelLimit.GetMinYExtent() ;
                                                   >> 1042         }
                                                   >> 1043         if ( yMax > pVoxelLimit.GetMaxYExtent() )
                                                   >> 1044         {
                                                   >> 1045           yMax = pVoxelLimit.GetMaxYExtent() ;
                                                   >> 1046         }
                                                   >> 1047       }
                                                   >> 1048     }
                                                   >> 1049     if ( pVoxelLimit.IsXLimited() )
                                                   >> 1050     {
                                                   >> 1051       if ( (xMin > pVoxelLimit.GetMaxXExtent() + kCarTolerance)
                                                   >> 1052         || (xMax < pVoxelLimit.GetMinXExtent() - kCarTolerance) )
                                                   >> 1053       {
                                                   >> 1054         delete vertices ;    //  'new' in the function called
                                                   >> 1055         return false ;
                                                   >> 1056       } 
                                                   >> 1057       else
                                                   >> 1058       {
                                                   >> 1059         if ( xMin < pVoxelLimit.GetMinXExtent() )
                                                   >> 1060         {
                                                   >> 1061           xMin = pVoxelLimit.GetMinXExtent() ;
                                                   >> 1062         }
                                                   >> 1063         if ( xMax > pVoxelLimit.GetMaxXExtent() )
                                                   >> 1064         {
                                                   >> 1065           xMax = pVoxelLimit.GetMaxXExtent() ;
                                                   >> 1066         }
                                                   >> 1067       }
                                                   >> 1068     }
                                                   >> 1069     switch (pAxis)
                                                   >> 1070     {
                                                   >> 1071       case kXAxis:
                                                   >> 1072         pMin=xMin;
                                                   >> 1073         pMax=xMax;
                                                   >> 1074         break;
606                                                   1075 
607   // Set bounding envelope (benv) and calculat << 1076       case kYAxis:
608   //                                           << 1077         pMin=yMin;
609   G4ThreeVector pt[8];                         << 1078         pMax=yMax;
610   GetVertices(pt);                             << 1079         break;
                                                   >> 1080 
                                                   >> 1081       case kZAxis:
                                                   >> 1082         pMin=zMin;
                                                   >> 1083         pMax=zMax;
                                                   >> 1084         break;
611                                                   1085 
612   G4ThreeVectorList baseA(4), baseB(4);        << 1086       default:
613   baseA[0] = pt[0];                            << 1087         break;
614   baseA[1] = pt[1];                            << 1088     }
615   baseA[2] = pt[3];                            << 1089     if ( (pMin != kInfinity) || (pMax != -kInfinity) )
616   baseA[3] = pt[2];                            << 1090     {
617                                                << 1091       existsAfterClip=true;
618   baseB[0] = pt[4];                            << 1092         
619   baseB[1] = pt[5];                            << 1093       // Add tolerance to avoid precision troubles
620   baseB[2] = pt[7];                            << 1094       //
621   baseB[3] = pt[6];                            << 1095       pMin -= kCarTolerance ;
622                                                << 1096       pMax += kCarTolerance ;      
623   std::vector<const G4ThreeVectorList *> polyg << 1097     }
624   polygons[0] = &baseA;                        << 1098     delete vertices ;          //  'new' in the function called
625   polygons[1] = &baseB;                        << 1099     flag = existsAfterClip ;
626                                                << 1100   }
627   G4BoundingEnvelope benv(bmin,bmax,polygons); << 1101   return flag;
628   exist = benv.CalculateExtent(pAxis,pVoxelLim << 
629   return exist;                                << 
630 }                                                 1102 }
631                                                   1103 
632 ////////////////////////////////////////////// << 1104 
                                                   >> 1105 ////////////////////////////////////////////////////////////////////////
633 //                                                1106 //
634 // Return whether point is inside/outside/on_s << 1107 // Return whether point inside/outside/on surface, using tolerance
635                                                   1108 
636 EInside G4Trap::Inside( const G4ThreeVector& p    1109 EInside G4Trap::Inside( const G4ThreeVector& p ) const
637 {                                                 1110 {
638   switch (fTrapType)                           << 1111   EInside in;
                                                   >> 1112   G4double Dist;
                                                   >> 1113   G4int i;
                                                   >> 1114   if ( std::fabs(p.z()) <= fDz-kCarTolerance*0.5)
639   {                                               1115   {
640     case 0: // General case                    << 1116     in = kInside;
                                                   >> 1117 
                                                   >> 1118     for ( i = 0;i < 4;i++ )
641     {                                             1119     {
642       G4double dz = std::abs(p.z())-fDz;       << 1120       Dist = fPlanes[i].a*p.x() + fPlanes[i].b*p.y()
643       G4double dy1 = fPlanes[0].b*p.y()+fPlane << 1121             +fPlanes[i].c*p.z() + fPlanes[i].d;
644       G4double dy2 = fPlanes[1].b*p.y()+fPlane << 
645       G4double dy = std::max(dz,std::max(dy1,d << 
646                                                << 
647       G4double dx1 = fPlanes[2].a*p.x()+fPlane << 
648                    + fPlanes[2].c*p.z()+fPlane << 
649       G4double dx2 = fPlanes[3].a*p.x()+fPlane << 
650                    + fPlanes[3].c*p.z()+fPlane << 
651       G4double dist = std::max(dy,std::max(dx1 << 
652                                                << 
653       return (dist > halfCarTolerance) ? kOuts << 
654         ((dist > -halfCarTolerance) ? kSurface << 
655     }                                          << 
656     case 1: // YZ section is a rectangle       << 
657     {                                          << 
658       G4double dz = std::abs(p.z())-fDz;       << 
659       G4double dy = std::max(dz,std::abs(p.y() << 
660       G4double dx1 = fPlanes[2].a*p.x()+fPlane << 
661                    + fPlanes[2].c*p.z()+fPlane << 
662       G4double dx2 = fPlanes[3].a*p.x()+fPlane << 
663                    + fPlanes[3].c*p.z()+fPlane << 
664       G4double dist = std::max(dy,std::max(dx1 << 
665                                                << 
666       return (dist > halfCarTolerance) ? kOuts << 
667         ((dist > -halfCarTolerance) ? kSurface << 
668     }                                          << 
669     case 2: // YZ section is a rectangle and   << 
670     {       // XZ section is an isosceles trap << 
671       G4double dz = std::abs(p.z())-fDz;       << 
672       G4double dy = std::max(dz,std::abs(p.y() << 
673       G4double dx = fPlanes[3].a*std::abs(p.x( << 
674                   + fPlanes[3].c*p.z()+fPlanes << 
675       G4double dist = std::max(dy,dx);         << 
676                                                << 
677       return (dist > halfCarTolerance) ? kOuts << 
678         ((dist > -halfCarTolerance) ? kSurface << 
679     }                                          << 
680     case 3: // YZ section is a rectangle and   << 
681     {       // XY section is an isosceles trap << 
682       G4double dz = std::abs(p.z())-fDz;       << 
683       G4double dy = std::max(dz,std::abs(p.y() << 
684       G4double dx = fPlanes[3].a*std::abs(p.x( << 
685                   + fPlanes[3].b*p.y()+fPlanes << 
686       G4double dist = std::max(dy,dx);         << 
687                                                   1122 
688       return (dist > halfCarTolerance) ? kOuts << 1123       if      (Dist >  kCarTolerance*0.5)  return in = kOutside;
689         ((dist > -halfCarTolerance) ? kSurface << 1124       else if (Dist > -kCarTolerance*0.5)         in = kSurface;
                                                   >> 1125        
690     }                                             1126     }
691   }                                               1127   }
692   return kOutside;                             << 1128   else if (std::fabs(p.z()) <= fDz+kCarTolerance*0.5)
                                                   >> 1129   {
                                                   >> 1130     in = kSurface;
                                                   >> 1131 
                                                   >> 1132     for ( i = 0; i < 4; i++ )
                                                   >> 1133     {
                                                   >> 1134       Dist =  fPlanes[i].a*p.x() + fPlanes[i].b*p.y()
                                                   >> 1135              +fPlanes[i].c*p.z() + fPlanes[i].d;
                                                   >> 1136 
                                                   >> 1137       if (Dist > kCarTolerance*0.5)        return in = kOutside;      
                                                   >> 1138     }
                                                   >> 1139   }
                                                   >> 1140   else  in = kOutside;
                                                   >> 1141   
                                                   >> 1142   return in;
693 }                                                 1143 }
694                                                   1144 
695 ////////////////////////////////////////////// << 1145 /////////////////////////////////////////////////////////////////////////////
696 //                                                1146 //
697 // Determine side, and return corresponding no << 1147 // Calculate side nearest to p, and return normal
                                                   >> 1148 // If 2+ sides equidistant, first side's normal returned (arbitrarily)
698                                                   1149 
699 G4ThreeVector G4Trap::SurfaceNormal( const G4T    1150 G4ThreeVector G4Trap::SurfaceNormal( const G4ThreeVector& p ) const
700 {                                                 1151 {
701   G4double nx = 0, ny = 0, nz = 0;             << 1152   G4int i, noSurfaces = 0;
702   G4double dz = std::abs(p.z()) - fDz;         << 1153   G4double dist, distz, distx, disty, distmx, distmy, safe = kInfinity;
703   nz = std::copysign(G4double(std::abs(dz) <=  << 1154   G4double delta    = 0.5*kCarTolerance;
                                                   >> 1155   G4ThreeVector norm, sumnorm(0.,0.,0.);
704                                                   1156 
705   switch (fTrapType)                           << 1157   for (i = 0; i < 4; i++)
706   {                                               1158   {
707     case 0: // General case                    << 1159     dist =  std::fabs(fPlanes[i].a*p.x() + fPlanes[i].b*p.y()
708     {                                          << 1160           + fPlanes[i].c*p.z() + fPlanes[i].d);
709       for (G4int i=0; i<2; ++i)                << 1161     if ( dist < safe )
710       {                                        << 
711         G4double dy = fPlanes[i].b*p.y() + fPl << 
712         if (std::abs(dy) > halfCarTolerance) c << 
713         ny  = fPlanes[i].b;                    << 
714         nz += fPlanes[i].c;                    << 
715         break;                                 << 
716       }                                        << 
717       for (G4int i=2; i<4; ++i)                << 
718       {                                        << 
719         G4double dx = fPlanes[i].a*p.x() +     << 
720                       fPlanes[i].b*p.y() + fPl << 
721         if (std::abs(dx) > halfCarTolerance) c << 
722         nx  = fPlanes[i].a;                    << 
723         ny += fPlanes[i].b;                    << 
724         nz += fPlanes[i].c;                    << 
725         break;                                 << 
726       }                                        << 
727       break;                                   << 
728     }                                          << 
729     case 1: // YZ section - rectangle          << 
730     {                                          << 
731       G4double dy = std::abs(p.y()) + fPlanes[ << 
732       ny = std::copysign(G4double(std::abs(dy) << 
733       for (G4int i=2; i<4; ++i)                << 
734       {                                        << 
735         G4double dx = fPlanes[i].a*p.x() +     << 
736                       fPlanes[i].b*p.y() + fPl << 
737         if (std::abs(dx) > halfCarTolerance) c << 
738         nx  = fPlanes[i].a;                    << 
739         ny += fPlanes[i].b;                    << 
740         nz += fPlanes[i].c;                    << 
741         break;                                 << 
742       }                                        << 
743       break;                                   << 
744     }                                          << 
745     case 2: // YZ section - rectangle, XZ sect << 
746     {                                          << 
747       G4double dy = std::abs(p.y()) + fPlanes[ << 
748       ny = std::copysign(G4double(std::abs(dy) << 
749       G4double dx = fPlanes[3].a*std::abs(p.x( << 
750                     fPlanes[3].c*p.z() + fPlan << 
751       G4double k = std::abs(dx) <= halfCarTole << 
752       nx  = std::copysign(k, p.x())*fPlanes[3] << 
753       nz += k*fPlanes[3].c;                    << 
754       break;                                   << 
755     }                                          << 
756     case 3: // YZ section - rectangle, XY sect << 
757     {                                             1162     {
758       G4double dy = std::abs(p.y()) + fPlanes[ << 1163       safe = dist;
759       ny = std::copysign(G4double(std::abs(dy) << 
760       G4double dx = fPlanes[3].a*std::abs(p.x( << 
761                     fPlanes[3].b*p.y() + fPlan << 
762       G4double k = std::abs(dx) <= halfCarTole << 
763       nx  = std::copysign(k, p.x())*fPlanes[3] << 
764       ny += k*fPlanes[3].b;                    << 
765       break;                                   << 
766     }                                             1164     }
767   }                                               1165   }
                                                   >> 1166   distz  = std::fabs( std::fabs( p.z() ) - fDz );
768                                                   1167 
769   // Return normal                             << 1168   distmy = std::fabs( fPlanes[0].a*p.x() + fPlanes[0].b*p.y()
770   //                                           << 1169                     + fPlanes[0].c*p.z() + fPlanes[0].d      );
771   G4double mag2 = nx*nx + ny*ny + nz*nz;       << 1170 
772   if (mag2 == 1)      return { nx,ny,nz };     << 1171   disty  = std::fabs( fPlanes[1].a*p.x() + fPlanes[1].b*p.y()
773   else if (mag2 != 0) return G4ThreeVector(nx, << 1172                     + fPlanes[1].c*p.z() + fPlanes[1].d      );
774   else                                         << 1173 
                                                   >> 1174   distmx = std::fabs( fPlanes[2].a*p.x() + fPlanes[2].b*p.y()
                                                   >> 1175                     + fPlanes[2].c*p.z() + fPlanes[2].d      );
                                                   >> 1176 
                                                   >> 1177   distx  = std::fabs( fPlanes[3].a*p.x() + fPlanes[3].b*p.y()
                                                   >> 1178                     + fPlanes[3].c*p.z() + fPlanes[3].d      );
                                                   >> 1179 
                                                   >> 1180   G4ThreeVector nX  = G4ThreeVector(fPlanes[3].a,fPlanes[3].b,fPlanes[3].c);
                                                   >> 1181   G4ThreeVector nmX = G4ThreeVector(fPlanes[2].a,fPlanes[2].b,fPlanes[2].c);
                                                   >> 1182   G4ThreeVector nY  = G4ThreeVector(fPlanes[1].a,fPlanes[1].b,fPlanes[1].c);
                                                   >> 1183   G4ThreeVector nmY = G4ThreeVector(fPlanes[0].a,fPlanes[0].b,fPlanes[0].c);
                                                   >> 1184   G4ThreeVector nZ  = G4ThreeVector(0.,0.,1.0);
                                                   >> 1185 
                                                   >> 1186   if (distx <= delta)      
                                                   >> 1187   {
                                                   >> 1188     noSurfaces ++;
                                                   >> 1189     sumnorm += nX;     
                                                   >> 1190   }
                                                   >> 1191   if (distmx <= delta)      
                                                   >> 1192   {
                                                   >> 1193     noSurfaces ++;
                                                   >> 1194     sumnorm += nmX;      
                                                   >> 1195   }
                                                   >> 1196   if (disty <= delta)
                                                   >> 1197   {
                                                   >> 1198     noSurfaces ++;
                                                   >> 1199     sumnorm += nY;  
                                                   >> 1200   }
                                                   >> 1201   if (distmy <= delta)
                                                   >> 1202   {
                                                   >> 1203     noSurfaces ++;
                                                   >> 1204     sumnorm += nmY;  
                                                   >> 1205   }
                                                   >> 1206   if (distz <= delta)  
                                                   >> 1207   {
                                                   >> 1208     noSurfaces ++;
                                                   >> 1209     if ( p.z() >= 0.)  sumnorm += nZ;
                                                   >> 1210     else               sumnorm -= nZ; 
                                                   >> 1211   }
                                                   >> 1212   if ( noSurfaces == 0 )
775   {                                               1213   {
776     // Point is not on the surface             << 
777     //                                         << 
778 #ifdef G4CSGDEBUG                                 1214 #ifdef G4CSGDEBUG
779     std::ostringstream message;                << 
780     G4long oldprc = message.precision(16);     << 
781     message << "Point p is not on surface (!?) << 
782             << GetName() << G4endl;            << 
783     message << "Position:\n";                  << 
784     message << "   p.x() = " << p.x()/mm << "  << 
785     message << "   p.y() = " << p.y()/mm << "  << 
786     message << "   p.z() = " << p.z()/mm << "  << 
787     G4cout.precision(oldprc) ;                 << 
788     G4Exception("G4Trap::SurfaceNormal(p)", "G    1215     G4Exception("G4Trap::SurfaceNormal(p)", "GeomSolids1002",
789                 JustWarning, message );        << 1216                 JustWarning, "Point p is not on surface !?" );
790     DumpInfo();                                << 1217 #endif 
791 #endif                                         << 1218      norm = ApproxSurfaceNormal(p);
792     return ApproxSurfaceNormal(p);             << 
793   }                                               1219   }
                                                   >> 1220   else if ( noSurfaces == 1 ) norm = sumnorm;
                                                   >> 1221   else                        norm = sumnorm.unit();
                                                   >> 1222   return norm;
794 }                                                 1223 }
795                                                   1224 
796 ////////////////////////////////////////////// << 1225 ////////////////////////////////////////////////////////////////////////////////////
797 //                                                1226 //
798 // Algorithm for SurfaceNormal() following the    1227 // Algorithm for SurfaceNormal() following the original specification
799 // for points not on the surface                  1228 // for points not on the surface
800                                                   1229 
801 G4ThreeVector G4Trap::ApproxSurfaceNormal( con    1230 G4ThreeVector G4Trap::ApproxSurfaceNormal( const G4ThreeVector& p ) const
802 {                                                 1231 {
803   G4double dist = -DBL_MAX;                    << 1232   G4double safe=kInfinity,Dist,safez;
804   G4int iside = 0;                             << 1233   G4int i,imin=0;
805   for (G4int i=0; i<4; ++i)                    << 1234   for (i=0;i<4;i++)
806   {                                            << 1235   {
807     G4double d = fPlanes[i].a*p.x() +          << 1236     Dist=std::fabs(fPlanes[i].a*p.x()+fPlanes[i].b*p.y()
808                  fPlanes[i].b*p.y() +          << 1237         +fPlanes[i].c*p.z()+fPlanes[i].d);
809                  fPlanes[i].c*p.z() + fPlanes[ << 1238     if (Dist<safe)
810     if (d > dist) { dist = d; iside = i; }     << 1239     {
                                                   >> 1240       safe=Dist;
                                                   >> 1241       imin=i;
                                                   >> 1242     }
                                                   >> 1243   }
                                                   >> 1244   safez=std::fabs(std::fabs(p.z())-fDz);
                                                   >> 1245   if (safe<safez)
                                                   >> 1246   {
                                                   >> 1247     return G4ThreeVector(fPlanes[imin].a,fPlanes[imin].b,fPlanes[imin].c);
811   }                                               1248   }
812                                                << 
813   G4double distz = std::abs(p.z()) - fDz;      << 
814   if (dist > distz)                            << 
815     return { fPlanes[iside].a, fPlanes[iside]. << 
816   else                                            1249   else
817     return { 0, 0, (G4double)((p.z() < 0) ? -1 << 1250   {
                                                   >> 1251     if (p.z()>0)
                                                   >> 1252     {
                                                   >> 1253       return G4ThreeVector(0,0,1);
                                                   >> 1254     }
                                                   >> 1255     else
                                                   >> 1256     {
                                                   >> 1257       return G4ThreeVector(0,0,-1);
                                                   >> 1258     }
                                                   >> 1259   }
818 }                                                 1260 }
819                                                   1261 
820 ////////////////////////////////////////////// << 1262 ////////////////////////////////////////////////////////////////////////////
                                                   >> 1263 //
                                                   >> 1264 // Calculate distance to shape from outside - return kInfinity if no intersection
821 //                                                1265 //
822 // Calculate distance to shape from outside    << 1266 // ALGORITHM:
823 //  - return kInfinity if no intersection      << 1267 // For each component, calculate pair of minimum and maximum intersection
                                                   >> 1268 // values for which the particle is in the extent of the shape
                                                   >> 1269 // - The smallest (MAX minimum) allowed distance of the pairs is intersect
824                                                   1270 
825 G4double G4Trap::DistanceToIn(const G4ThreeVec << 1271 G4double G4Trap::DistanceToIn( const G4ThreeVector& p,
826                               const G4ThreeVec << 1272                                const G4ThreeVector& v ) const
827 {                                                 1273 {
828   // Z intersections                           << 
829   //                                           << 
830   if ((std::abs(p.z()) - fDz) >= -halfCarToler << 
831     return kInfinity;                          << 
832   G4double invz = (-v.z() == 0) ? DBL_MAX : -1 << 
833   G4double dz = (invz < 0) ? fDz : -fDz;       << 
834   G4double tzmin = (p.z() + dz)*invz;          << 
835   G4double tzmax = (p.z() - dz)*invz;          << 
836                                                   1274 
837   // Y intersections                           << 1275   G4double snxt;    // snxt = default return value
                                                   >> 1276   G4double max,smax,smin;
                                                   >> 1277   G4double pdist,Comp,vdist;
                                                   >> 1278   G4int i;
                                                   >> 1279   //
                                                   >> 1280   // Z Intersection range
838   //                                              1281   //
839   G4double tymin = 0, tymax = DBL_MAX;         << 1282   if ( v.z() > 0 )
840   G4int i = 0;                                 << 
841   for ( ; i<2; ++i)                            << 
842   {                                               1283   {
843     G4double cosa = fPlanes[i].b*v.y() + fPlan << 1284     max = fDz - p.z() ;
844     G4double dist = fPlanes[i].b*p.y() + fPlan << 1285     if (max > 0.5*kCarTolerance)
845     if (dist >= -halfCarTolerance)             << 
846     {                                             1286     {
847       if (cosa >= 0) return kInfinity;         << 1287       smax = max/v.z();
848       G4double tmp  = -dist/cosa;              << 1288       smin = (-fDz-p.z())/v.z();
849       if (tymin < tmp) tymin = tmp;            << 
850     }                                             1289     }
851     else if (cosa > 0)                         << 1290     else
852     {                                             1291     {
853       G4double tmp  = -dist/cosa;              << 1292       return snxt=kInfinity;
854       if (tymax > tmp) tymax = tmp;            << 
855     }                                             1293     }
856   }                                               1294   }
857                                                << 1295   else if (v.z() < 0 )
858   // Z intersections                           << 1296   {
859   //                                           << 1297     max = - fDz - p.z() ;
860   G4double txmin = 0, txmax = DBL_MAX;         << 1298     if (max < -0.5*kCarTolerance )
861   for ( ; i<4; ++i)                            << 1299     {
                                                   >> 1300       smax=max/v.z();
                                                   >> 1301       smin=(fDz-p.z())/v.z();
                                                   >> 1302     }
                                                   >> 1303     else
                                                   >> 1304     {
                                                   >> 1305       return snxt=kInfinity;
                                                   >> 1306     }
                                                   >> 1307   }
                                                   >> 1308   else
862   {                                               1309   {
863     G4double cosa = fPlanes[i].a*v.x()+fPlanes << 1310     if (std::fabs(p.z())<fDz - 0.5*kCarTolerance) // Inside was <=fDz
864     G4double dist = fPlanes[i].a*p.x()+fPlanes << 
865                     fPlanes[i].d;              << 
866     if (dist >= -halfCarTolerance)             << 
867     {                                             1311     {
868       if (cosa >= 0) return kInfinity;         << 1312       smin=0;
869       G4double tmp  = -dist/cosa;              << 1313       smax=kInfinity;
870       if (txmin < tmp) txmin = tmp;            << 
871     }                                             1314     }
872     else if (cosa > 0)                         << 1315     else
873     {                                             1316     {
874       G4double tmp  = -dist/cosa;              << 1317       return snxt=kInfinity;
875       if (txmax > tmp) txmax = tmp;            << 
876     }                                             1318     }
877   }                                               1319   }
878                                                   1320 
879   // Find distance                             << 1321   for (i=0;i<4;i++)
                                                   >> 1322   {
                                                   >> 1323     pdist=fPlanes[i].a*p.x()+fPlanes[i].b*p.y()
                                                   >> 1324          +fPlanes[i].c*p.z()+fPlanes[i].d;
                                                   >> 1325     Comp=fPlanes[i].a*v.x()+fPlanes[i].b*v.y()+fPlanes[i].c*v.z();
                                                   >> 1326     if ( pdist >= -0.5*kCarTolerance )      // was >0
                                                   >> 1327     {
                                                   >> 1328       //
                                                   >> 1329       // Outside the plane -> this is an extent entry distance
                                                   >> 1330       //
                                                   >> 1331       if (Comp >= 0)   // was >0
                                                   >> 1332       {
                                                   >> 1333         return snxt=kInfinity ;
                                                   >> 1334       }
                                                   >> 1335       else 
                                                   >> 1336       {
                                                   >> 1337         vdist=-pdist/Comp;
                                                   >> 1338         if (vdist>smin)
                                                   >> 1339         {
                                                   >> 1340           if (vdist<smax)
                                                   >> 1341           {
                                                   >> 1342             smin = vdist;
                                                   >> 1343           }
                                                   >> 1344           else
                                                   >> 1345           {
                                                   >> 1346             return snxt=kInfinity;
                                                   >> 1347           }
                                                   >> 1348         }
                                                   >> 1349       }
                                                   >> 1350     }
                                                   >> 1351     else
                                                   >> 1352     {
                                                   >> 1353       //
                                                   >> 1354       // Inside the plane -> couble  be an extent exit distance (smax)
                                                   >> 1355       //
                                                   >> 1356       if (Comp>0)  // Will leave extent
                                                   >> 1357       {
                                                   >> 1358         vdist=-pdist/Comp;
                                                   >> 1359         if (vdist<smax)
                                                   >> 1360         {
                                                   >> 1361           if (vdist>smin)
                                                   >> 1362           {
                                                   >> 1363             smax=vdist;
                                                   >> 1364           }
                                                   >> 1365           else
                                                   >> 1366           {
                                                   >> 1367             return snxt=kInfinity;
                                                   >> 1368           }
                                                   >> 1369         }  
                                                   >> 1370       }
                                                   >> 1371     }
                                                   >> 1372   }
880   //                                              1373   //
881   G4double tmin = std::max(std::max(txmin,tymi << 1374   // Checks in non z plane intersections ensure smin<smax
882   G4double tmax = std::min(std::min(txmax,tyma << 1375   //
883                                                << 1376   if (smin >=0 )
884   if (tmax <= tmin + halfCarTolerance) return  << 1377   {
885   return (tmin < halfCarTolerance ) ? 0. : tmi << 1378     snxt = smin ;
                                                   >> 1379   }
                                                   >> 1380   else
                                                   >> 1381   {
                                                   >> 1382     snxt = 0 ;
                                                   >> 1383   }
                                                   >> 1384   return snxt;
886 }                                                 1385 }
887                                                   1386 
888 ////////////////////////////////////////////// << 1387 ///////////////////////////////////////////////////////////////////////////
889 //                                                1388 //
890 // Calculate exact shortest distance to any bo    1389 // Calculate exact shortest distance to any boundary from outside
891 // This is the best fast estimation of the sho    1390 // This is the best fast estimation of the shortest distance to trap
892 // - return 0 if point is inside               << 1391 // - Returns 0 is ThreeVector inside
893                                                   1392 
894 G4double G4Trap::DistanceToIn( const G4ThreeVe    1393 G4double G4Trap::DistanceToIn( const G4ThreeVector& p ) const
895 {                                                 1394 {
896   switch (fTrapType)                           << 1395   G4double safe=0.0,Dist;
                                                   >> 1396   G4int i;
                                                   >> 1397   safe=std::fabs(p.z())-fDz;
                                                   >> 1398   for (i=0;i<4;i++)
897   {                                               1399   {
898     case 0: // General case                    << 1400     Dist=fPlanes[i].a*p.x()+fPlanes[i].b*p.y()
899     {                                          << 1401         +fPlanes[i].c*p.z()+fPlanes[i].d;
900       G4double dz = std::abs(p.z())-fDz;       << 1402     if (Dist > safe) safe=Dist;
901       G4double dy1 = fPlanes[0].b*p.y()+fPlane << 
902       G4double dy2 = fPlanes[1].b*p.y()+fPlane << 
903       G4double dy = std::max(dz,std::max(dy1,d << 
904                                                << 
905       G4double dx1 = fPlanes[2].a*p.x()+fPlane << 
906                    + fPlanes[2].c*p.z()+fPlane << 
907       G4double dx2 = fPlanes[3].a*p.x()+fPlane << 
908                    + fPlanes[3].c*p.z()+fPlane << 
909       G4double dist = std::max(dy,std::max(dx1 << 
910       return (dist > 0) ? dist : 0.;           << 
911     }                                          << 
912     case 1: // YZ section is a rectangle       << 
913     {                                          << 
914       G4double dz = std::abs(p.z())-fDz;       << 
915       G4double dy = std::max(dz,std::abs(p.y() << 
916       G4double dx1 = fPlanes[2].a*p.x()+fPlane << 
917                    + fPlanes[2].c*p.z()+fPlane << 
918       G4double dx2 = fPlanes[3].a*p.x()+fPlane << 
919                    + fPlanes[3].c*p.z()+fPlane << 
920       G4double dist = std::max(dy,std::max(dx1 << 
921       return (dist > 0) ? dist : 0.;           << 
922     }                                          << 
923     case 2: // YZ section is a rectangle and   << 
924     {       // XZ section is an isosceles trap << 
925       G4double dz = std::abs(p.z())-fDz;       << 
926       G4double dy = std::max(dz,std::abs(p.y() << 
927       G4double dx = fPlanes[3].a*std::abs(p.x( << 
928                   + fPlanes[3].c*p.z()+fPlanes << 
929       G4double dist = std::max(dy,dx);         << 
930       return (dist > 0) ? dist : 0.;           << 
931     }                                          << 
932     case 3: // YZ section is a rectangle and   << 
933     {       // XY section is an isosceles trap << 
934       G4double dz = std::abs(p.z())-fDz;       << 
935       G4double dy = std::max(dz,std::abs(p.y() << 
936       G4double dx = fPlanes[3].a*std::abs(p.x( << 
937                   + fPlanes[3].b*p.y()+fPlanes << 
938       G4double dist = std::max(dy,dx);         << 
939       return (dist > 0) ? dist : 0.;           << 
940     }                                          << 
941   }                                               1403   }
942   return 0.;                                   << 1404   if (safe<0) safe=0;
                                                   >> 1405   return safe;  
943 }                                                 1406 }
944                                                   1407 
945 ////////////////////////////////////////////// << 1408 /////////////////////////////////////////////////////////////////////////////////
946 //                                                1409 //
947 // Calculate distance to surface of shape from << 1410 // Calculate distance to surface of shape from inside
948 // find normal at exit point, if required      << 1411 // Calculate distance to x/y/z planes - smallest is exiting distance
949 // - when leaving the surface, return 0        << 
950                                                   1412 
951 G4double G4Trap::DistanceToOut(const G4ThreeVe    1413 G4double G4Trap::DistanceToOut(const G4ThreeVector& p, const G4ThreeVector& v,
952                                const G4bool ca    1414                                const G4bool calcNorm,
953                                      G4bool* v << 1415                                      G4bool *validNorm, G4ThreeVector *n) const
954 {                                                 1416 {
955   // Z intersections                           << 1417   Eside side = kUndef;
                                                   >> 1418   G4double snxt;    // snxt = return value
                                                   >> 1419   G4double pdist,Comp,vdist,max;
                                                   >> 1420   //
                                                   >> 1421   // Z Intersections
956   //                                              1422   //
957   if ((std::abs(p.z()) - fDz) >= -halfCarToler << 1423   if (v.z()>0)
                                                   >> 1424   {
                                                   >> 1425     max=fDz-p.z();
                                                   >> 1426     if (max>kCarTolerance/2)
                                                   >> 1427     {
                                                   >> 1428       snxt=max/v.z();
                                                   >> 1429       side=kPZ;
                                                   >> 1430     }
                                                   >> 1431     else
                                                   >> 1432     {
                                                   >> 1433       if (calcNorm)
                                                   >> 1434       {
                                                   >> 1435         *validNorm=true;
                                                   >> 1436         *n=G4ThreeVector(0,0,1);
                                                   >> 1437       }
                                                   >> 1438       return snxt=0;
                                                   >> 1439     }
                                                   >> 1440   }
                                                   >> 1441   else if (v.z()<0)
958   {                                               1442   {
959     if (calcNorm)                              << 1443     max=-fDz-p.z();
                                                   >> 1444     if (max<-kCarTolerance/2)
960     {                                             1445     {
961       *validNorm = true;                       << 1446       snxt=max/v.z();
962       n->set(0, 0, (p.z() < 0) ? -1 : 1);      << 1447       side=kMZ;
963     }                                             1448     }
964     return 0;                                  << 1449     else
                                                   >> 1450     {
                                                   >> 1451       if (calcNorm)
                                                   >> 1452       {
                                                   >> 1453         *validNorm=true;
                                                   >> 1454         *n=G4ThreeVector(0,0,-1);
                                                   >> 1455       }
                                                   >> 1456       return snxt=0;
                                                   >> 1457     }
                                                   >> 1458   }
                                                   >> 1459   else
                                                   >> 1460   {
                                                   >> 1461     snxt=kInfinity;
965   }                                               1462   }
966   G4double vz = v.z();                         << 
967   G4double tmax = (vz == 0) ? DBL_MAX : (std:: << 
968   G4int iside = (vz < 0) ? -4 : -2; // little  << 
969                                                   1463 
970   // Y intersections                           << 
971   //                                              1464   //
972   G4int i = 0;                                 << 1465   // Intersections with planes[0] (expanded because of setting enum)
973   for ( ; i<2; ++i)                            << 1466   //
                                                   >> 1467   pdist=fPlanes[0].a*p.x()+fPlanes[0].b*p.y()+fPlanes[0].c*p.z()+fPlanes[0].d;
                                                   >> 1468   Comp=fPlanes[0].a*v.x()+fPlanes[0].b*v.y()+fPlanes[0].c*v.z();
                                                   >> 1469   if (pdist>0)
974   {                                               1470   {
975     G4double cosa = fPlanes[i].b*v.y() + fPlan << 1471     // Outside the plane
976     if (cosa > 0)                              << 1472     if (Comp>0)
977     {                                             1473     {
978       G4double dist = fPlanes[i].b*p.y() + fPl << 1474       // Leaving immediately
979       if (dist >= -halfCarTolerance)           << 1475       if (calcNorm)
980       {                                           1476       {
981         if (calcNorm)                          << 1477         *validNorm=true;
982         {                                      << 1478         *n=G4ThreeVector(fPlanes[0].a,fPlanes[0].b,fPlanes[0].c);
983           *validNorm = true;                   << 1479       }
984           n->set(0, fPlanes[i].b, fPlanes[i].c << 1480       return snxt=0;
985         }                                      << 1481     }
986         return 0;                              << 1482   }
                                                   >> 1483   else if (pdist<-kCarTolerance/2)
                                                   >> 1484   {
                                                   >> 1485     // Inside the plane
                                                   >> 1486     if (Comp>0)
                                                   >> 1487     {
                                                   >> 1488       // Will leave extent
                                                   >> 1489       vdist=-pdist/Comp;
                                                   >> 1490       if (vdist<snxt)
                                                   >> 1491       {
                                                   >> 1492         snxt=vdist;
                                                   >> 1493         side=ks0;
987       }                                           1494       }
988       G4double tmp = -dist/cosa;               << 1495     }
989       if (tmax > tmp) { tmax = tmp; iside = i; << 1496   }
                                                   >> 1497   else
                                                   >> 1498   {
                                                   >> 1499     // On surface
                                                   >> 1500     if (Comp>0)
                                                   >> 1501     {
                                                   >> 1502       if (calcNorm)
                                                   >> 1503       {
                                                   >> 1504         *validNorm=true;
                                                   >> 1505         *n=G4ThreeVector(fPlanes[0].a,fPlanes[0].b,fPlanes[0].c);
                                                   >> 1506       }
                                                   >> 1507       return snxt=0;
990     }                                             1508     }
991   }                                               1509   }
992                                                   1510 
993   // X intersections                           << 
994   //                                              1511   //
995   for ( ; i<4; ++i)                            << 1512   // Intersections with planes[1] (expanded because of setting enum)
                                                   >> 1513   //
                                                   >> 1514   pdist=fPlanes[1].a*p.x()+fPlanes[1].b*p.y()+fPlanes[1].c*p.z()+fPlanes[1].d;
                                                   >> 1515   Comp=fPlanes[1].a*v.x()+fPlanes[1].b*v.y()+fPlanes[1].c*v.z();
                                                   >> 1516   if (pdist>0)
996   {                                               1517   {
997     G4double cosa = fPlanes[i].a*v.x()+fPlanes << 1518     // Outside the plane
998     if (cosa > 0)                              << 1519     if (Comp>0)
999     {                                             1520     {
1000       G4double dist = fPlanes[i].a*p.x() +    << 1521       // Leaving immediately
1001                       fPlanes[i].b*p.y() + fP << 1522       if (calcNorm)
1002       if (dist >= -halfCarTolerance)          << 
1003       {                                          1523       {
1004         if (calcNorm)                         << 1524         *validNorm=true;
1005         {                                     << 1525         *n=G4ThreeVector(fPlanes[1].a,fPlanes[1].b,fPlanes[1].c);
1006            *validNorm = true;                 << 1526       }
1007            n->set(fPlanes[i].a, fPlanes[i].b, << 1527       return snxt=0;
1008         }                                     << 1528     }
1009         return 0;                             << 1529   }
                                                   >> 1530   else if (pdist<-kCarTolerance/2)
                                                   >> 1531   {
                                                   >> 1532     // Inside the plane
                                                   >> 1533     if (Comp>0)
                                                   >> 1534     {
                                                   >> 1535       // Will leave extent
                                                   >> 1536       vdist=-pdist/Comp;
                                                   >> 1537       if (vdist<snxt)
                                                   >> 1538       {
                                                   >> 1539         snxt=vdist;
                                                   >> 1540         side=ks1;
                                                   >> 1541       }
                                                   >> 1542     }
                                                   >> 1543   }
                                                   >> 1544   else
                                                   >> 1545   {
                                                   >> 1546     // On surface
                                                   >> 1547     if (Comp>0)
                                                   >> 1548     {
                                                   >> 1549       if (calcNorm)
                                                   >> 1550       {
                                                   >> 1551         *validNorm=true;
                                                   >> 1552         *n=G4ThreeVector(fPlanes[1].a,fPlanes[1].b,fPlanes[1].c);
1010       }                                          1553       }
1011       G4double tmp = -dist/cosa;              << 1554       return snxt=0;
1012       if (tmax > tmp) { tmax = tmp; iside = i << 
1013     }                                            1555     }
1014   }                                              1556   }
1015                                                  1557 
1016   // Set normal, if required, and return dist << 
1017   //                                             1558   //
                                                   >> 1559   // Intersections with planes[2] (expanded because of setting enum)
                                                   >> 1560   //
                                                   >> 1561   pdist=fPlanes[2].a*p.x()+fPlanes[2].b*p.y()+fPlanes[2].c*p.z()+fPlanes[2].d;
                                                   >> 1562   Comp=fPlanes[2].a*v.x()+fPlanes[2].b*v.y()+fPlanes[2].c*v.z();
                                                   >> 1563   if (pdist>0)
                                                   >> 1564   {
                                                   >> 1565     // Outside the plane
                                                   >> 1566     if (Comp>0)
                                                   >> 1567     {
                                                   >> 1568       // Leaving immediately
                                                   >> 1569       if (calcNorm)
                                                   >> 1570       {
                                                   >> 1571         *validNorm=true;
                                                   >> 1572         *n=G4ThreeVector(fPlanes[2].a,fPlanes[2].b,fPlanes[2].c);
                                                   >> 1573       }
                                                   >> 1574       return snxt=0;
                                                   >> 1575     }
                                                   >> 1576   }
                                                   >> 1577   else if (pdist<-kCarTolerance/2)
                                                   >> 1578   {
                                                   >> 1579     // Inside the plane
                                                   >> 1580     if (Comp>0)
                                                   >> 1581     {
                                                   >> 1582       // Will leave extent
                                                   >> 1583       vdist=-pdist/Comp;
                                                   >> 1584       if (vdist<snxt)
                                                   >> 1585       {
                                                   >> 1586         snxt=vdist;
                                                   >> 1587         side=ks2;
                                                   >> 1588       }
                                                   >> 1589     }
                                                   >> 1590   }
                                                   >> 1591   else
                                                   >> 1592   {
                                                   >> 1593     // On surface
                                                   >> 1594     if (Comp>0)
                                                   >> 1595     {
                                                   >> 1596       if (calcNorm)
                                                   >> 1597       {
                                                   >> 1598         *validNorm=true;
                                                   >> 1599         *n=G4ThreeVector(fPlanes[2].a,fPlanes[2].b,fPlanes[2].c);
                                                   >> 1600       }
                                                   >> 1601       return snxt=0;
                                                   >> 1602     }
                                                   >> 1603   }
                                                   >> 1604 
                                                   >> 1605   //
                                                   >> 1606   // Intersections with planes[3] (expanded because of setting enum)
                                                   >> 1607   //
                                                   >> 1608   pdist=fPlanes[3].a*p.x()+fPlanes[3].b*p.y()+fPlanes[3].c*p.z()+fPlanes[3].d;
                                                   >> 1609   Comp=fPlanes[3].a*v.x()+fPlanes[3].b*v.y()+fPlanes[3].c*v.z();
                                                   >> 1610   if (pdist>0)
                                                   >> 1611   {
                                                   >> 1612     // Outside the plane
                                                   >> 1613     if (Comp>0)
                                                   >> 1614     {
                                                   >> 1615       // Leaving immediately
                                                   >> 1616       if (calcNorm)
                                                   >> 1617       {
                                                   >> 1618         *validNorm=true;
                                                   >> 1619         *n=G4ThreeVector(fPlanes[3].a,fPlanes[3].b,fPlanes[3].c);
                                                   >> 1620       }
                                                   >> 1621       return snxt=0;
                                                   >> 1622     }
                                                   >> 1623   }
                                                   >> 1624   else if (pdist<-kCarTolerance/2)
                                                   >> 1625   {
                                                   >> 1626     // Inside the plane
                                                   >> 1627     if (Comp>0)
                                                   >> 1628     {
                                                   >> 1629       // Will leave extent
                                                   >> 1630       vdist=-pdist/Comp;
                                                   >> 1631       if (vdist<snxt)
                                                   >> 1632       {
                                                   >> 1633         snxt=vdist;
                                                   >> 1634         side=ks3;
                                                   >> 1635       }
                                                   >> 1636     }
                                                   >> 1637   }
                                                   >> 1638   else
                                                   >> 1639   {
                                                   >> 1640     // On surface
                                                   >> 1641     if (Comp>0)
                                                   >> 1642     {
                                                   >> 1643       if (calcNorm)
                                                   >> 1644       {
                                                   >> 1645         *validNorm=true;
                                                   >> 1646         *n=G4ThreeVector(fPlanes[3].a,fPlanes[3].b,fPlanes[3].c);
                                                   >> 1647       }
                                                   >> 1648       return snxt=0;
                                                   >> 1649     }
                                                   >> 1650   }
                                                   >> 1651 
                                                   >> 1652   // set normal
1018   if (calcNorm)                                  1653   if (calcNorm)
1019   {                                              1654   {
1020     *validNorm = true;                        << 1655     *validNorm=true;
1021     if (iside < 0)                            << 1656     switch(side)
1022       n->set(0, 0, iside + 3); // (-4+3)=-1,  << 1657     {
1023     else                                      << 1658       case ks0:
1024       n->set(fPlanes[iside].a, fPlanes[iside] << 1659         *n=G4ThreeVector(fPlanes[0].a,fPlanes[0].b,fPlanes[0].c);
                                                   >> 1660         break;
                                                   >> 1661       case ks1:
                                                   >> 1662         *n=G4ThreeVector(fPlanes[1].a,fPlanes[1].b,fPlanes[1].c);
                                                   >> 1663         break;
                                                   >> 1664       case ks2:
                                                   >> 1665         *n=G4ThreeVector(fPlanes[2].a,fPlanes[2].b,fPlanes[2].c);
                                                   >> 1666         break;
                                                   >> 1667       case ks3:
                                                   >> 1668         *n=G4ThreeVector(fPlanes[3].a,fPlanes[3].b,fPlanes[3].c);
                                                   >> 1669         break;
                                                   >> 1670       case kMZ:
                                                   >> 1671         *n=G4ThreeVector(0,0,-1);
                                                   >> 1672         break;
                                                   >> 1673       case kPZ:
                                                   >> 1674         *n=G4ThreeVector(0,0,1);
                                                   >> 1675         break;
                                                   >> 1676       default:
                                                   >> 1677         G4cout << G4endl;
                                                   >> 1678         DumpInfo();
                                                   >> 1679         std::ostringstream message;
                                                   >> 1680         G4int oldprc = message.precision(16);
                                                   >> 1681         message << "Undefined side for valid surface normal to solid."
                                                   >> 1682                 << G4endl
                                                   >> 1683                 << "Position:"  << G4endl << G4endl
                                                   >> 1684                 << "p.x() = "   << p.x()/mm << " mm" << G4endl
                                                   >> 1685                 << "p.y() = "   << p.y()/mm << " mm" << G4endl
                                                   >> 1686                 << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl
                                                   >> 1687                 << "Direction:" << G4endl << G4endl
                                                   >> 1688                 << "v.x() = "   << v.x() << G4endl
                                                   >> 1689                 << "v.y() = "   << v.y() << G4endl
                                                   >> 1690                 << "v.z() = "   << v.z() << G4endl << G4endl
                                                   >> 1691                 << "Proposed distance :" << G4endl << G4endl
                                                   >> 1692                 << "snxt = "    << snxt/mm << " mm" << G4endl;
                                                   >> 1693         message.precision(oldprc);
                                                   >> 1694         G4Exception("G4Trap::DistanceToOut(p,v,..)","GeomSolids1002",
                                                   >> 1695                     JustWarning, message);
                                                   >> 1696         break;
                                                   >> 1697     }
1025   }                                              1698   }
1026   return tmax;                                << 1699   return snxt;
1027 }                                                1700 }
1028                                                  1701 
1029 ///////////////////////////////////////////// << 1702 //////////////////////////////////////////////////////////////////////////////
1030 //                                               1703 //
1031 // Calculate exact shortest distance to any b    1704 // Calculate exact shortest distance to any boundary from inside
1032 // - Returns 0 is ThreeVector outside            1705 // - Returns 0 is ThreeVector outside
1033                                                  1706 
1034 G4double G4Trap::DistanceToOut( const G4Three    1707 G4double G4Trap::DistanceToOut( const G4ThreeVector& p ) const
1035 {                                                1708 {
                                                   >> 1709   G4double safe=0.0,Dist;
                                                   >> 1710   G4int i;
                                                   >> 1711 
1036 #ifdef G4CSGDEBUG                                1712 #ifdef G4CSGDEBUG
1037   if( Inside(p) == kOutside )                    1713   if( Inside(p) == kOutside )
1038   {                                              1714   {
1039     std::ostringstream message;               << 1715      G4int oldprc = G4cout.precision(16) ;
1040     G4long oldprc = message.precision(16);    << 1716      G4cout << G4endl ;
1041     message << "Point p is outside (!?) of so << 1717      DumpInfo();
1042     message << "Position:\n";                 << 1718      G4cout << "Position:"  << G4endl << G4endl ;
1043     message << "   p.x() = " << p.x()/mm << " << 1719      G4cout << "p.x() = "   << p.x()/mm << " mm" << G4endl ;
1044     message << "   p.y() = " << p.y()/mm << " << 1720      G4cout << "p.y() = "   << p.y()/mm << " mm" << G4endl ;
1045     message << "   p.z() = " << p.z()/mm << " << 1721      G4cout << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl ;
1046     G4cout.precision(oldprc);                 << 1722      G4cout.precision(oldprc) ;
1047     G4Exception("G4Trap::DistanceToOut(p)", " << 1723      G4Exception("G4Trap::DistanceToOut(p)",
1048                 JustWarning, message );       << 1724                  "GeomSolids1002", JustWarning, "Point p is outside !?" );
1049     DumpInfo();                               << 
1050   }                                              1725   }
1051 #endif                                           1726 #endif
1052   switch (fTrapType)                          << 1727 
                                                   >> 1728   safe=fDz-std::fabs(p.z());
                                                   >> 1729   if (safe<0) safe=0;
                                                   >> 1730   else
1053   {                                              1731   {
1054     case 0: // General case                   << 1732     for (i=0;i<4;i++)
1055     {                                            1733     {
1056       G4double dz = std::abs(p.z())-fDz;      << 1734       Dist=-(fPlanes[i].a*p.x()+fPlanes[i].b*p.y()
1057       G4double dy1 = fPlanes[0].b*p.y()+fPlan << 1735             +fPlanes[i].c*p.z()+fPlanes[i].d);
1058       G4double dy2 = fPlanes[1].b*p.y()+fPlan << 1736       if (Dist<safe) safe=Dist;
1059       G4double dy = std::max(dz,std::max(dy1, << 1737     }
1060                                               << 1738     if (safe<0) safe=0;
1061       G4double dx1 = fPlanes[2].a*p.x()+fPlan << 1739   }
1062                    + fPlanes[2].c*p.z()+fPlan << 1740   return safe;  
1063       G4double dx2 = fPlanes[3].a*p.x()+fPlan << 
1064                    + fPlanes[3].c*p.z()+fPlan << 
1065       G4double dist = std::max(dy,std::max(dx << 
1066       return (dist < 0) ? -dist : 0.;         << 
1067     }                                         << 
1068     case 1: // YZ section is a rectangle      << 
1069     {                                         << 
1070       G4double dz = std::abs(p.z())-fDz;      << 
1071       G4double dy = std::max(dz,std::abs(p.y( << 
1072       G4double dx1 = fPlanes[2].a*p.x()+fPlan << 
1073                    + fPlanes[2].c*p.z()+fPlan << 
1074       G4double dx2 = fPlanes[3].a*p.x()+fPlan << 
1075                    + fPlanes[3].c*p.z()+fPlan << 
1076       G4double dist = std::max(dy,std::max(dx << 
1077       return (dist < 0) ? -dist : 0.;         << 
1078     }                                         << 
1079     case 2: // YZ section is a rectangle and  << 
1080     {       // XZ section is an isosceles tra << 
1081       G4double dz = std::abs(p.z())-fDz;      << 
1082       G4double dy = std::max(dz,std::abs(p.y( << 
1083       G4double dx = fPlanes[3].a*std::abs(p.x << 
1084                   + fPlanes[3].c*p.z()+fPlane << 
1085       G4double dist = std::max(dy,dx);        << 
1086       return (dist < 0) ? -dist : 0.;         << 
1087     }                                         << 
1088     case 3: // YZ section is a rectangle and  << 
1089     {       // XY section is an isosceles tra << 
1090       G4double dz = std::abs(p.z())-fDz;      << 
1091       G4double dy = std::max(dz,std::abs(p.y( << 
1092       G4double dx = fPlanes[3].a*std::abs(p.x << 
1093                   + fPlanes[3].b*p.y()+fPlane << 
1094       G4double dist = std::max(dy,dx);        << 
1095       return (dist < 0) ? -dist : 0.;         << 
1096     }                                         << 
1097   }                                           << 
1098   return 0.;                                  << 
1099 }                                                1741 }
1100                                                  1742 
1101 /////////////////////////////////////////////    1743 //////////////////////////////////////////////////////////////////////////
1102 //                                               1744 //
1103 // GetEntityType                              << 1745 // Create a List containing the transformed vertices
1104                                               << 1746 // Ordering [0-3] -fDz cross section
1105 G4GeometryType G4Trap::GetEntityType() const  << 1747 //          [4-7] +fDz cross section such that [0] is below [4],
1106 {                                             << 1748 //                                             [1] below [5] etc.
1107   return {"G4Trap"};                          << 1749 // Note:
                                                   >> 1750 //  Caller has deletion resposibility
                                                   >> 1751 
                                                   >> 1752 G4ThreeVectorList*
                                                   >> 1753 G4Trap::CreateRotatedVertices( const G4AffineTransform& pTransform ) const
                                                   >> 1754 {
                                                   >> 1755   G4ThreeVectorList *vertices;
                                                   >> 1756   vertices=new G4ThreeVectorList();
                                                   >> 1757   if (vertices)
                                                   >> 1758   {
                                                   >> 1759     vertices->reserve(8);
                                                   >> 1760     G4ThreeVector vertex0(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
                                                   >> 1761                           -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 1762     G4ThreeVector vertex1(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
                                                   >> 1763                           -fDz*fTthetaSphi-fDy1,-fDz);
                                                   >> 1764     G4ThreeVector vertex2(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
                                                   >> 1765                           -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 1766     G4ThreeVector vertex3(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
                                                   >> 1767                           -fDz*fTthetaSphi+fDy1,-fDz);
                                                   >> 1768     G4ThreeVector vertex4(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
                                                   >> 1769                           +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 1770     G4ThreeVector vertex5(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
                                                   >> 1771                           +fDz*fTthetaSphi-fDy2,+fDz);
                                                   >> 1772     G4ThreeVector vertex6(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
                                                   >> 1773                           +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 1774     G4ThreeVector vertex7(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
                                                   >> 1775                           +fDz*fTthetaSphi+fDy2,+fDz);
                                                   >> 1776 
                                                   >> 1777     vertices->push_back(pTransform.TransformPoint(vertex0));
                                                   >> 1778     vertices->push_back(pTransform.TransformPoint(vertex1));
                                                   >> 1779     vertices->push_back(pTransform.TransformPoint(vertex2));
                                                   >> 1780     vertices->push_back(pTransform.TransformPoint(vertex3));
                                                   >> 1781     vertices->push_back(pTransform.TransformPoint(vertex4));
                                                   >> 1782     vertices->push_back(pTransform.TransformPoint(vertex5));
                                                   >> 1783     vertices->push_back(pTransform.TransformPoint(vertex6));
                                                   >> 1784     vertices->push_back(pTransform.TransformPoint(vertex7));
                                                   >> 1785   }
                                                   >> 1786   else
                                                   >> 1787   {
                                                   >> 1788     DumpInfo();
                                                   >> 1789     G4Exception("G4Trap::CreateRotatedVertices()",
                                                   >> 1790                 "GeomSolids0003", FatalException,
                                                   >> 1791                 "Error in allocation of vertices. Out of memory !");
                                                   >> 1792   }
                                                   >> 1793   return vertices;
1108 }                                                1794 }
1109                                                  1795 
1110 /////////////////////////////////////////////    1796 //////////////////////////////////////////////////////////////////////////
1111 //                                               1797 //
1112 // IsFaceted                                  << 1798 // GetEntityType
1113                                                  1799 
1114 G4bool G4Trap::IsFaceted() const              << 1800 G4GeometryType G4Trap::GetEntityType() const
1115 {                                                1801 {
1116   return true;                                << 1802   return G4String("G4Trap");
1117 }                                                1803 }
1118                                                  1804 
1119 /////////////////////////////////////////////    1805 //////////////////////////////////////////////////////////////////////////
1120 //                                               1806 //
1121 // Make a clone of the object                    1807 // Make a clone of the object
1122 //                                               1808 //
1123 G4VSolid* G4Trap::Clone() const                  1809 G4VSolid* G4Trap::Clone() const
1124 {                                                1810 {
1125   return new G4Trap(*this);                      1811   return new G4Trap(*this);
1126 }                                                1812 }
1127                                                  1813 
1128 /////////////////////////////////////////////    1814 //////////////////////////////////////////////////////////////////////////
1129 //                                               1815 //
1130 // Stream object contents to an output stream    1816 // Stream object contents to an output stream
1131                                                  1817 
1132 std::ostream& G4Trap::StreamInfo( std::ostrea    1818 std::ostream& G4Trap::StreamInfo( std::ostream& os ) const
1133 {                                                1819 {
1134   G4double phi    = GetPhi();                 << 1820   G4int oldprc = os.precision(16);
1135   G4double theta  = GetTheta();               << 
1136   G4double alpha1 = GetAlpha1();              << 
1137   G4double alpha2 = GetAlpha2();              << 
1138                                               << 
1139   G4long oldprc = os.precision(16);           << 
1140   os << "------------------------------------    1821   os << "-----------------------------------------------------------\n"
1141      << "    *** Dump for solid: " << GetName << 1822      << "    *** Dump for solid - " << GetName() << " ***\n"
1142      << "    ================================    1823      << "    ===================================================\n"
1143      << " Solid type: G4Trap\n"                  1824      << " Solid type: G4Trap\n"
1144      << " Parameters:\n"                      << 1825      << " Parameters: \n"
1145      << "    half length Z: " << fDz/mm << "  << 1826      << "    half length Z: " << fDz/mm << " mm \n"
1146      << "    half length Y, face -Dz: " << fD << 1827      << "    half length Y of face -fDz: " << fDy1/mm << " mm \n"
1147      << "    half length X, face -Dz, side -D << 1828      << "    half length X of side -fDy1, face -fDz: " << fDx1/mm << " mm \n"
1148      << "    half length X, face -Dz, side +D << 1829      << "    half length X of side +fDy1, face -fDz: " << fDx2/mm << " mm \n"
1149      << "    half length Y, face +Dz: " << fD << 1830      << "    half length Y of face +fDz: " << fDy2/mm << " mm \n"
1150      << "    half length X, face +Dz, side -D << 1831      << "    half length X of side -fDy2, face +fDz: " << fDx3/mm << " mm \n"
1151      << "    half length X, face +Dz, side +D << 1832      << "    half length X of side +fDy2, face +fDz: " << fDx4/mm << " mm \n"
1152      << "    theta: " << theta/degree << " de << 1833      << "    std::tan(theta)*std::cos(phi): " << fTthetaCphi/degree << " degrees \n"
1153      << "    phi:   " << phi/degree << " degr << 1834      << "    std::tan(theta)*std::sin(phi): " << fTthetaSphi/degree << " degrees \n"
1154      << "    alpha, face -Dz: " << alpha1/deg << 1835      << "    std::tan(alpha), -fDz: " << fTalpha1/degree << " degrees \n"
1155      << "    alpha, face +Dz: " << alpha2/deg << 1836      << "    std::tan(alpha), +fDz: " << fTalpha2/degree << " degrees \n"
                                                   >> 1837      << "    trap side plane equations:\n"
                                                   >> 1838      << "        " << fPlanes[0].a << " X + " << fPlanes[0].b << " Y + "
                                                   >> 1839                    << fPlanes[0].c << " Z + " << fPlanes[0].d << " = 0\n"
                                                   >> 1840      << "        " << fPlanes[1].a << " X + " << fPlanes[1].b << " Y + "
                                                   >> 1841                    << fPlanes[1].c << " Z + " << fPlanes[1].d << " = 0\n"
                                                   >> 1842      << "        " << fPlanes[2].a << " X + " << fPlanes[2].b << " Y + "
                                                   >> 1843                    << fPlanes[2].c << " Z + " << fPlanes[2].d << " = 0\n"
                                                   >> 1844      << "        " << fPlanes[3].a << " X + " << fPlanes[3].b << " Y + "
                                                   >> 1845                    << fPlanes[3].c << " Z + " << fPlanes[3].d << " = 0\n"
1156      << "------------------------------------    1846      << "-----------------------------------------------------------\n";
1157   os.precision(oldprc);                          1847   os.precision(oldprc);
1158                                                  1848 
1159   return os;                                     1849   return os;
1160 }                                                1850 }
1161                                                  1851 
1162 ///////////////////////////////////////////// << 1852 /////////////////////////////////////////////////////////////////////////
                                                   >> 1853 //
                                                   >> 1854 // GetPointOnPlane
1163 //                                               1855 //
1164 // Compute vertices from planes               << 1856 // Auxiliary method for Get Point on Surface
1165                                                  1857 
1166 void G4Trap::GetVertices(G4ThreeVector pt[8]) << 1858 G4ThreeVector G4Trap::GetPointOnPlane(G4ThreeVector p0, G4ThreeVector p1, 
1167 {                                             << 1859                                       G4ThreeVector p2, G4ThreeVector p3,
1168   for (G4int i=0; i<8; ++i)                   << 1860                                       G4double& area) const
1169   {                                           << 1861 {
1170     G4int iy = (i==0 || i==1 || i==4 || i==5) << 1862   G4double lambda1, lambda2, chose, aOne, aTwo;
1171     G4int ix = (i==0 || i==2 || i==4 || i==6) << 1863   G4ThreeVector t, u, v, w, Area, normal;
1172     G4double z = (i < 4) ? -fDz : fDz;        << 1864   
1173     G4double y = -(fPlanes[iy].c*z + fPlanes[ << 1865   t = p1 - p0;
1174     G4double x = -(fPlanes[ix].b*y + fPlanes[ << 1866   u = p2 - p1;
1175                    + fPlanes[ix].d)/fPlanes[i << 1867   v = p3 - p2;
1176     pt[i].set(x,y,z);                         << 1868   w = p0 - p3;
1177   }                                           << 1869 
                                                   >> 1870   Area = G4ThreeVector(w.y()*v.z() - w.z()*v.y(),
                                                   >> 1871                        w.z()*v.x() - w.x()*v.z(),
                                                   >> 1872                        w.x()*v.y() - w.y()*v.x());
                                                   >> 1873   
                                                   >> 1874   aOne = 0.5*Area.mag();
                                                   >> 1875   
                                                   >> 1876   Area = G4ThreeVector(t.y()*u.z() - t.z()*u.y(),
                                                   >> 1877                        t.z()*u.x() - t.x()*u.z(),
                                                   >> 1878                        t.x()*u.y() - t.y()*u.x());
                                                   >> 1879   
                                                   >> 1880   aTwo = 0.5*Area.mag();
                                                   >> 1881   
                                                   >> 1882   area = aOne + aTwo;
                                                   >> 1883   
                                                   >> 1884   chose = RandFlat::shoot(0.,aOne+aTwo);
                                                   >> 1885 
                                                   >> 1886   if( (chose>=0.) && (chose < aOne) )
                                                   >> 1887   {
                                                   >> 1888     lambda1 = RandFlat::shoot(0.,1.);
                                                   >> 1889     lambda2 = RandFlat::shoot(0.,lambda1);
                                                   >> 1890     return (p2+lambda1*v+lambda2*w);    
                                                   >> 1891   }
                                                   >> 1892   
                                                   >> 1893   // else
                                                   >> 1894 
                                                   >> 1895   lambda1 = RandFlat::shoot(0.,1.);
                                                   >> 1896   lambda2 = RandFlat::shoot(0.,lambda1);
                                                   >> 1897 
                                                   >> 1898   return (p0+lambda1*t+lambda2*u);    
1178 }                                                1899 }
1179                                                  1900 
1180 ///////////////////////////////////////////// << 1901 ///////////////////////////////////////////////////////////////
1181 //                                               1902 //
1182 // Generate random point on the surface       << 1903 // GetPointOnSurface
1183                                                  1904 
1184 G4ThreeVector G4Trap::GetPointOnSurface() con    1905 G4ThreeVector G4Trap::GetPointOnSurface() const
1185 {                                                1906 {
1186   // Set indeces                              << 1907   G4double aOne, aTwo, aThree, aFour, aFive, aSix, chose;
1187   constexpr G4int iface [6][4] =              << 1908   G4ThreeVector One, Two, Three, Four, Five, Six, test;
1188     { {0,1,3,2}, {0,4,5,1}, {2,3,7,6}, {0,2,6 << 
1189                                               << 
1190   // Set vertices                             << 
1191   G4ThreeVector pt[8];                           1909   G4ThreeVector pt[8];
1192   GetVertices(pt);                            << 1910      
1193                                               << 1911   pt[0] = G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1-fDx1,
1194   // Select face                              << 1912                         -fDz*fTthetaSphi-fDy1,-fDz);
1195   //                                          << 1913   pt[1] = G4ThreeVector(-fDz*fTthetaCphi-fDy1*fTalpha1+fDx1,
1196   G4double select = fAreas[5]*G4QuickRand();  << 1914                         -fDz*fTthetaSphi-fDy1,-fDz);
1197   G4int k = 5;                                << 1915   pt[2] = G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1-fDx2,
1198   k -= (G4int)(select <= fAreas[4]);          << 1916                         -fDz*fTthetaSphi+fDy1,-fDz);
1199   k -= (G4int)(select <= fAreas[3]);          << 1917   pt[3] = G4ThreeVector(-fDz*fTthetaCphi+fDy1*fTalpha1+fDx2,
1200   k -= (G4int)(select <= fAreas[2]);          << 1918                         -fDz*fTthetaSphi+fDy1,-fDz);
1201   k -= (G4int)(select <= fAreas[1]);          << 1919   pt[4] = G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2-fDx3,
1202   k -= (G4int)(select <= fAreas[0]);          << 1920                         +fDz*fTthetaSphi-fDy2,+fDz);
1203                                               << 1921   pt[5] = G4ThreeVector(+fDz*fTthetaCphi-fDy2*fTalpha2+fDx3,
1204   // Select sub-triangle                      << 1922                         +fDz*fTthetaSphi-fDy2,+fDz);
1205   //                                          << 1923   pt[6] = G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2-fDx4,
1206   G4int i0 = iface[k][0];                     << 1924                         +fDz*fTthetaSphi+fDy2,+fDz);
1207   G4int i1 = iface[k][1];                     << 1925   pt[7] = G4ThreeVector(+fDz*fTthetaCphi+fDy2*fTalpha2+fDx4,
1208   G4int i2 = iface[k][2];                     << 1926                         +fDz*fTthetaSphi+fDy2,+fDz);
1209   G4int i3 = iface[k][3];                     << 1927   
1210   G4double s2 = G4GeomTools::TriangleAreaNorm << 1928   // make sure we provide the points in a clockwise fashion
1211   if (select > fAreas[k] - s2) i0 = i2;       << 1929 
1212                                               << 1930   One   = GetPointOnPlane(pt[0],pt[1],pt[3],pt[2], aOne);
1213   // Generate point                           << 1931   Two   = GetPointOnPlane(pt[4],pt[5],pt[7],pt[6], aTwo);
1214   //                                          << 1932   Three = GetPointOnPlane(pt[6],pt[7],pt[3],pt[2], aThree);
1215   G4double u = G4QuickRand();                 << 1933   Four  = GetPointOnPlane(pt[4],pt[5],pt[1],pt[0], aFour); 
1216   G4double v = G4QuickRand();                 << 1934   Five  = GetPointOnPlane(pt[0],pt[2],pt[6],pt[4], aFive);
1217   if (u + v > 1.) { u = 1. - u; v = 1. - v; } << 1935   Six   = GetPointOnPlane(pt[1],pt[3],pt[7],pt[5], aSix);
1218   return (1.-u-v)*pt[i0] + u*pt[i1] + v*pt[i3 << 1936  
                                                   >> 1937   chose = RandFlat::shoot(0.,aOne+aTwo+aThree+aFour+aFive+aSix);
                                                   >> 1938   if( (chose>=0.) && (chose<aOne) )                    
                                                   >> 1939     { return One; }
                                                   >> 1940   else if( (chose>=aOne) && (chose<aOne+aTwo) )  
                                                   >> 1941     { return Two; }
                                                   >> 1942   else if( (chose>=aOne+aTwo) && (chose<aOne+aTwo+aThree) )
                                                   >> 1943     { return Three; }
                                                   >> 1944   else if( (chose>=aOne+aTwo+aThree) && (chose<aOne+aTwo+aThree+aFour) )
                                                   >> 1945     { return Four; }
                                                   >> 1946   else if( (chose>=aOne+aTwo+aThree+aFour)
                                                   >> 1947         && (chose<aOne+aTwo+aThree+aFour+aFive) )
                                                   >> 1948     { return Five; }
                                                   >> 1949   return Six;
1219 }                                                1950 }
1220                                                  1951 
1221 /////////////////////////////////////////////    1952 //////////////////////////////////////////////////////////////////////////
1222 //                                               1953 //
1223 // Methods for visualisation                     1954 // Methods for visualisation
1224                                                  1955 
1225 void G4Trap::DescribeYourselfTo ( G4VGraphics    1956 void G4Trap::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
1226 {                                                1957 {
1227   scene.AddSolid (*this);                        1958   scene.AddSolid (*this);
1228 }                                                1959 }
1229                                                  1960 
1230 G4Polyhedron* G4Trap::CreatePolyhedron () con    1961 G4Polyhedron* G4Trap::CreatePolyhedron () const
1231 {                                                1962 {
1232   G4double phi = std::atan2(fTthetaSphi, fTth    1963   G4double phi = std::atan2(fTthetaSphi, fTthetaCphi);
1233   G4double alpha1 = std::atan(fTalpha1);         1964   G4double alpha1 = std::atan(fTalpha1);
1234   G4double alpha2 = std::atan(fTalpha2);         1965   G4double alpha2 = std::atan(fTalpha2);
1235   G4double theta = std::atan(std::sqrt(fTthet << 1966   G4double theta = std::atan(std::sqrt(fTthetaCphi*fTthetaCphi+fTthetaSphi*fTthetaSphi));
1236                                       +fTthet << 
1237                                                  1967 
1238   return new G4PolyhedronTrap(fDz, theta, phi    1968   return new G4PolyhedronTrap(fDz, theta, phi,
1239                               fDy1, fDx1, fDx    1969                               fDy1, fDx1, fDx2, alpha1,
1240                               fDy2, fDx3, fDx    1970                               fDy2, fDx3, fDx4, alpha2);
1241 }                                                1971 }
1242                                                  1972 
1243 #endif                                           1973 #endif
1244                                                  1974