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Geant4/geometry/solids/CSG/src/G4Trd.cc

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Differences between /geometry/solids/CSG/src/G4Trd.cc (Version 11.3.0) and /geometry/solids/CSG/src/G4Trd.cc (Version 10.2.p2)


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 25 //                                                 25 //
                                                   >>  26 //
                                                   >>  27 // $Id: G4Trd.cc 83572 2014-09-01 15:23:27Z gcosmo $
                                                   >>  28 //
                                                   >>  29 //
 26 // Implementation for G4Trd class                  30 // Implementation for G4Trd class
 27 //                                                 31 //
 28 // 12.01.95 P.Kent: First version              <<  32 // History:
 29 // 28.04.05 V.Grichine: new SurfaceNormal acco <<  33 //
 30 // 25.05.17 E.Tcherniaev: complete revision, s <<  34 // 28.04.05 V.Grichine: new SurfaceNormal according to J. Apostolakis proposal 
 31 // ------------------------------------------- <<  35 // 26.04.05, V.Grichine, new SurfaceNoramal is default
                                                   >>  36 // 07.12.04, V.Grichine, SurfaceNoramal with edges/vertices.
                                                   >>  37 // 07.05.00, V.Grichine, in d = DistanceToIn(p,v), if d<0.5*kCarTolerance, d=0
                                                   >>  38 //    ~1996, V.Grichine, 1st implementation based on old code of P.Kent
                                                   >>  39 //
                                                   >>  40 //////////////////////////////////////////////////////////////////////////////
 32                                                    41 
 33 #include "G4Trd.hh"                                42 #include "G4Trd.hh"
 34                                                    43 
 35 #if !defined(G4GEOM_USE_UTRD)                      44 #if !defined(G4GEOM_USE_UTRD)
 36                                                    45 
 37 #include "G4GeomTools.hh"                      <<  46 #include "G4VPVParameterisation.hh"
 38                                                << 
 39 #include "G4VoxelLimits.hh"                        47 #include "G4VoxelLimits.hh"
 40 #include "G4AffineTransform.hh"                    48 #include "G4AffineTransform.hh"
 41 #include "G4BoundingEnvelope.hh"               <<  49 #include "Randomize.hh"
 42 #include "G4QuickRand.hh"                      << 
 43                                                << 
 44 #include "G4VPVParameterisation.hh"            << 
 45                                                    50 
 46 #include "G4VGraphicsScene.hh"                     51 #include "G4VGraphicsScene.hh"
 47                                                    52 
 48 using namespace CLHEP;                             53 using namespace CLHEP;
 49                                                    54 
 50 ////////////////////////////////////////////// <<  55 /////////////////////////////////////////////////////////////////////////
 51 //                                                 56 //
 52 // Constructor - set & check half widths       <<  57 // Constructor - check & set half widths
 53                                                    58 
 54 G4Trd::G4Trd(const G4String& pName,            <<  59 G4Trd::G4Trd( const G4String& pName,
 55                    G4double pdx1, G4double pdx <<  60                     G4double pdx1,  G4double pdx2,
 56                    G4double pdy1, G4double pdy <<  61                     G4double pdy1,  G4double pdy2,
 57                    G4double pdz)               <<  62                     G4double pdz )
 58   : G4CSGSolid(pName), halfCarTolerance(0.5*kC <<  63   : G4CSGSolid(pName)
 59     fDx1(pdx1), fDx2(pdx2), fDy1(pdy1), fDy2(p << 
 60 {                                                  64 {
 61   CheckParameters();                           <<  65   CheckAndSetAllParameters (pdx1, pdx2, pdy1, pdy2, pdz);
 62   MakePlanes();                                << 
 63 }                                                  66 }
 64                                                    67 
 65 ////////////////////////////////////////////// <<  68 /////////////////////////////////////////////////////////////////////////
                                                   >>  69 //
                                                   >>  70 // Set and check (coplanarity) of trd parameters
                                                   >>  71 
                                                   >>  72 void G4Trd::CheckAndSetAllParameters ( G4double pdx1,  G4double pdx2,
                                                   >>  73                                        G4double pdy1,  G4double pdy2,
                                                   >>  74                                        G4double pdz ) 
                                                   >>  75 {
                                                   >>  76   if ( pdx1>0&&pdx2>0&&pdy1>0&&pdy2>0&&pdz>0 )
                                                   >>  77   {
                                                   >>  78     fDx1=pdx1; fDx2=pdx2;
                                                   >>  79     fDy1=pdy1; fDy2=pdy2;
                                                   >>  80     fDz=pdz;
                                                   >>  81   }
                                                   >>  82   else
                                                   >>  83   {
                                                   >>  84     if ( pdx1>=0 && pdx2>=0 && pdy1>=0 && pdy2>=0 && pdz>=0 )
                                                   >>  85     {
                                                   >>  86       // G4double  Minimum_length= (1+per_thousand) * kCarTolerance/2.;
                                                   >>  87       // FIX-ME : temporary solution for ZERO or very-small parameters
                                                   >>  88       //
                                                   >>  89       G4double  Minimum_length= kCarTolerance/2.;
                                                   >>  90       fDx1=std::max(pdx1,Minimum_length); 
                                                   >>  91       fDx2=std::max(pdx2,Minimum_length); 
                                                   >>  92       fDy1=std::max(pdy1,Minimum_length); 
                                                   >>  93       fDy2=std::max(pdy2,Minimum_length); 
                                                   >>  94       fDz=std::max(pdz,Minimum_length);
                                                   >>  95     }
                                                   >>  96     else
                                                   >>  97     {
                                                   >>  98       std::ostringstream message;
                                                   >>  99       message << "Invalid negative dimensions for Solid: " << GetName()
                                                   >> 100               << G4endl
                                                   >> 101               << "          X - " << pdx1 << ", " << pdx2 << G4endl
                                                   >> 102               << "          Y - " << pdy1 << ", " << pdy2 << G4endl
                                                   >> 103               << "          Z - " << pdz;
                                                   >> 104       G4Exception("G4Trd::CheckAndSetAllParameters()",
                                                   >> 105                   "GeomSolids0002", FatalException, message);
                                                   >> 106     }
                                                   >> 107   }
                                                   >> 108   fCubicVolume= 0.;
                                                   >> 109   fSurfaceArea= 0.;
                                                   >> 110   fRebuildPolyhedron = true;
                                                   >> 111 }
                                                   >> 112 
                                                   >> 113 ///////////////////////////////////////////////////////////////////////
 66 //                                                114 //
 67 // Fake default constructor - sets only member    115 // Fake default constructor - sets only member data and allocates memory
 68 //                            for usage restri << 116 //                            for usage restricted to object persistency.
 69 //                                                117 //
 70 G4Trd::G4Trd( __void__& a )                       118 G4Trd::G4Trd( __void__& a )
 71   : G4CSGSolid(a), halfCarTolerance(0.5*kCarTo << 119   : G4CSGSolid(a), fDx1(0.), fDx2(0.), fDy1(0.), fDy2(0.), fDz(0.)
 72     fDx1(1.), fDx2(1.), fDy1(1.), fDy2(1.), fD << 
 73 {                                                 120 {
 74   MakePlanes();                                << 
 75 }                                                 121 }
 76                                                   122 
 77 //////////////////////////////////////////////    123 //////////////////////////////////////////////////////////////////////////
 78 //                                                124 //
 79 // Destructor                                     125 // Destructor
 80                                                   126 
 81 G4Trd::~G4Trd() = default;                     << 127 G4Trd::~G4Trd()
                                                   >> 128 {
                                                   >> 129 }
 82                                                   130 
 83 //////////////////////////////////////////////    131 //////////////////////////////////////////////////////////////////////////
 84 //                                                132 //
 85 // Copy constructor                               133 // Copy constructor
 86                                                   134 
 87 G4Trd::G4Trd(const G4Trd& rhs)                    135 G4Trd::G4Trd(const G4Trd& rhs)
 88   : G4CSGSolid(rhs), halfCarTolerance(rhs.half << 136   : G4CSGSolid(rhs), fDx1(rhs.fDx1), fDx2(rhs.fDx2),
 89     fDx1(rhs.fDx1), fDx2(rhs.fDx2),            << 137     fDy1(rhs.fDy1), fDy2(rhs.fDy2), fDz(rhs.fDz)
 90     fDy1(rhs.fDy1), fDy2(rhs.fDy2), fDz(rhs.fD << 
 91     fHx(rhs.fHx), fHy(rhs.fHy)                 << 
 92 {                                                 138 {
 93   for (G4int i=0; i<4; ++i) { fPlanes[i] = rhs << 
 94 }                                                 139 }
 95                                                   140 
 96 //////////////////////////////////////////////    141 //////////////////////////////////////////////////////////////////////////
 97 //                                                142 //
 98 // Assignment operator                            143 // Assignment operator
 99                                                   144 
100 G4Trd& G4Trd::operator = (const G4Trd& rhs)    << 145 G4Trd& G4Trd::operator = (const G4Trd& rhs) 
101 {                                                 146 {
102    // Check assignment to self                    147    // Check assignment to self
103    //                                             148    //
104    if (this == &rhs)  { return *this; }           149    if (this == &rhs)  { return *this; }
105                                                   150 
106    // Copy base class data                        151    // Copy base class data
107    //                                             152    //
108    G4CSGSolid::operator=(rhs);                    153    G4CSGSolid::operator=(rhs);
109                                                   154 
110    // Copy data                                   155    // Copy data
111    //                                             156    //
112    halfCarTolerance = rhs.halfCarTolerance;    << 
113    fDx1 = rhs.fDx1; fDx2 = rhs.fDx2;              157    fDx1 = rhs.fDx1; fDx2 = rhs.fDx2;
114    fDy1 = rhs.fDy1; fDy2 = rhs.fDy2;              158    fDy1 = rhs.fDy1; fDy2 = rhs.fDy2;
115    fDz = rhs.fDz;                                 159    fDz = rhs.fDz;
116    fHx = rhs.fHx; fHy = rhs.fHy;               << 
117    for (G4int i=0; i<4; ++i) { fPlanes[i] = rh << 
118                                                   160 
119    return *this;                                  161    return *this;
120 }                                                 162 }
121                                                   163 
122 ////////////////////////////////////////////// << 164 ////////////////////////////////////////////////////////////////////////////
123 //                                                165 //
124 // Set all parameters, as for constructor - se << 
125                                                << 
126 void G4Trd::SetAllParameters(G4double pdx1, G4 << 
127                              G4double pdy1, G4 << 
128 {                                              << 
129   // Reset data of the base class              << 
130   fCubicVolume = 0.;                           << 
131   fSurfaceArea = 0.;                           << 
132   fRebuildPolyhedron = true;                   << 
133                                                << 
134   // Set parameters                            << 
135   fDx1 = pdx1; fDx2 = pdx2;                    << 
136   fDy1 = pdy1; fDy2 = pdy2;                    << 
137   fDz  = pdz;                                  << 
138                                                << 
139   CheckParameters();                           << 
140   MakePlanes();                                << 
141 }                                              << 
142                                                << 
143 ////////////////////////////////////////////// << 
144 //                                                166 //
145 // Check dimensions                            << 
146                                                   167 
147 void G4Trd::CheckParameters()                  << 168 void G4Trd::SetAllParameters ( G4double pdx1, G4double pdx2, G4double pdy1, 
                                                   >> 169                                G4double pdy2, G4double pdz ) 
148 {                                                 170 {
149   G4double dmin = 2*kCarTolerance;             << 171   CheckAndSetAllParameters (pdx1, pdx2, pdy1, pdy2, pdz);
150   if ((fDx1 < 0 || fDx2 < 0 || fDy1 < 0 || fDy << 
151       (fDx1 < dmin && fDx2 < dmin) ||          << 
152       (fDy1 < dmin && fDy2 < dmin))            << 
153   {                                            << 
154     std::ostringstream message;                << 
155     message << "Invalid (too small or negative << 
156             << GetName()                       << 
157             << "\n  X - " << fDx1 << ", " << f << 
158             << "\n  Y - " << fDy1 << ", " << f << 
159             << "\n  Z - " << fDz;              << 
160     G4Exception("G4Trd::CheckParameters()", "G << 
161                 FatalException, message);      << 
162   }                                            << 
163 }                                                 172 }
164                                                   173 
165 ////////////////////////////////////////////// << 
166 //                                             << 
167 // Set side planes                             << 
168                                                   174 
169 void G4Trd::MakePlanes()                       << 175 /////////////////////////////////////////////////////////////////////////
170 {                                              << 
171   G4double dx = fDx1 - fDx2;                   << 
172   G4double dy = fDy1 - fDy2;                   << 
173   G4double dz = 2*fDz;                         << 
174   fHx = std::sqrt(dy*dy + dz*dz);              << 
175   fHy = std::sqrt(dx*dx + dz*dz);              << 
176                                                << 
177   // Set X planes at -Y & +Y                   << 
178   //                                           << 
179   fPlanes[0].a =  0.;                          << 
180   fPlanes[0].b = -dz/fHx;                      << 
181   fPlanes[0].c =  dy/fHx;                      << 
182   fPlanes[0].d = fPlanes[0].b*fDy1 + fPlanes[0 << 
183                                                << 
184   fPlanes[1].a =  fPlanes[0].a;                << 
185   fPlanes[1].b = -fPlanes[0].b;                << 
186   fPlanes[1].c =  fPlanes[0].c;                << 
187   fPlanes[1].d =  fPlanes[0].d;                << 
188                                                << 
189   // Set Y planes at -X & +X                   << 
190   //                                           << 
191   fPlanes[2].a = -dz/fHy;                      << 
192   fPlanes[2].b =  0.;                          << 
193   fPlanes[2].c =  dx/fHy;                      << 
194   fPlanes[2].d = fPlanes[2].a*fDx1 + fPlanes[2 << 
195                                                << 
196   fPlanes[3].a = -fPlanes[2].a;                << 
197   fPlanes[3].b =  fPlanes[2].b;                << 
198   fPlanes[3].c =  fPlanes[2].c;                << 
199   fPlanes[3].d =  fPlanes[2].d;                << 
200 }                                              << 
201                                                << 
202 ////////////////////////////////////////////// << 
203 //                                             << 
204 // Get volume                                  << 
205                                                << 
206 G4double G4Trd::GetCubicVolume()               << 
207 {                                              << 
208   if (fCubicVolume == 0.)                      << 
209   {                                            << 
210     fCubicVolume = 2*fDz*( (fDx1+fDx2)*(fDy1+f << 
211                            (fDx2-fDx1)*(fDy2-f << 
212   }                                            << 
213   return fCubicVolume;                         << 
214 }                                              << 
215                                                << 
216 ////////////////////////////////////////////// << 
217 //                                             << 
218 // Get surface area                            << 
219                                                << 
220 G4double G4Trd::GetSurfaceArea()               << 
221 {                                              << 
222   if (fSurfaceArea == 0.)                      << 
223   {                                            << 
224     fSurfaceArea =                             << 
225       4*(fDx1*fDy1 + fDx2*fDy2) + 2*(fDx1+fDx2 << 
226   }                                            << 
227   return fSurfaceArea;                         << 
228 }                                              << 
229                                                << 
230 ////////////////////////////////////////////// << 
231 //                                                176 //
232 // Dispatch to parameterisation for replicatio    177 // Dispatch to parameterisation for replication mechanism dimension
233 // computation & modification                  << 178 // computation & modification.
234                                                   179 
235 void G4Trd::ComputeDimensions(       G4VPVPara    180 void G4Trd::ComputeDimensions(       G4VPVParameterisation* p,
236                                const G4int n,     181                                const G4int n,
237                                const G4VPhysic    182                                const G4VPhysicalVolume* pRep )
238 {                                                 183 {
239   p->ComputeDimensions(*this,n,pRep);             184   p->ComputeDimensions(*this,n,pRep);
240 }                                                 185 }
241                                                   186 
242 ////////////////////////////////////////////// << 
243 //                                             << 
244 // Get bounding box                            << 
245                                                   187 
246 void G4Trd::BoundingLimits(G4ThreeVector& pMin << 188 ///////////////////////////////////////////////////////////////////////////
247 {                                              << 
248   G4double dx1 = GetXHalfLength1();            << 
249   G4double dx2 = GetXHalfLength2();            << 
250   G4double dy1 = GetYHalfLength1();            << 
251   G4double dy2 = GetYHalfLength2();            << 
252   G4double dz  = GetZHalfLength();             << 
253                                                << 
254   G4double xmax = std::max(dx1,dx2);           << 
255   G4double ymax = std::max(dy1,dy2);           << 
256   pMin.set(-xmax,-ymax,-dz);                   << 
257   pMax.set( xmax, ymax, dz);                   << 
258                                                << 
259   // Check correctness of the bounding box     << 
260   //                                           << 
261   if (pMin.x() >= pMax.x() || pMin.y() >= pMax << 
262   {                                            << 
263     std::ostringstream message;                << 
264     message << "Bad bounding box (min >= max)  << 
265             << GetName() << " !"               << 
266             << "\npMin = " << pMin             << 
267             << "\npMax = " << pMax;            << 
268     G4Exception("G4Trd::BoundingLimits()", "Ge << 
269     DumpInfo();                                << 
270   }                                            << 
271 }                                              << 
272                                                << 
273 ////////////////////////////////////////////// << 
274 //                                                189 //
275 // Calculate extent under transform and specif    190 // Calculate extent under transform and specified limit
276                                                   191 
277 G4bool G4Trd::CalculateExtent( const EAxis pAx    192 G4bool G4Trd::CalculateExtent( const EAxis pAxis,
278                                const G4VoxelLi    193                                const G4VoxelLimits& pVoxelLimit,
279                                const G4AffineT    194                                const G4AffineTransform& pTransform,
280                                      G4double&    195                                      G4double& pMin, G4double& pMax ) const
281 {                                                 196 {
282   G4ThreeVector bmin, bmax;                    << 197   if (!pTransform.IsRotated())
283   G4bool exist;                                << 
284                                                << 
285   // Check bounding box (bbox)                 << 
286   //                                           << 
287   BoundingLimits(bmin,bmax);                   << 
288   G4BoundingEnvelope bbox(bmin,bmax);          << 
289 #ifdef G4BBOX_EXTENT                           << 
290   return bbox.CalculateExtent(pAxis,pVoxelLimi << 
291 #endif                                         << 
292   if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVox << 
293   {                                               198   {
294     return exist = pMin < pMax;                << 199     // Special case handling for unrotated solids
                                                   >> 200     // Compute x/y/z mins and maxs respecting limits, with early returns
                                                   >> 201     // if outside limits. Then switch() on pAxis
                                                   >> 202 
                                                   >> 203     G4double xoffset,xMin,xMax;
                                                   >> 204     G4double yoffset,yMin,yMax;
                                                   >> 205     G4double zoffset,zMin,zMax;
                                                   >> 206 
                                                   >> 207     zoffset=pTransform.NetTranslation().z();
                                                   >> 208     zMin=zoffset-fDz;
                                                   >> 209     zMax=zoffset+fDz;
                                                   >> 210     if (pVoxelLimit.IsZLimited())
                                                   >> 211     {
                                                   >> 212       if ( (zMin>pVoxelLimit.GetMaxZExtent()+kCarTolerance)
                                                   >> 213         || (zMax<pVoxelLimit.GetMinZExtent()-kCarTolerance) )
                                                   >> 214       {
                                                   >> 215         return false;
                                                   >> 216       }
                                                   >> 217         else
                                                   >> 218       {
                                                   >> 219         if (zMin<pVoxelLimit.GetMinZExtent())
                                                   >> 220         {
                                                   >> 221           zMin=pVoxelLimit.GetMinZExtent();
                                                   >> 222         }
                                                   >> 223         if (zMax>pVoxelLimit.GetMaxZExtent())
                                                   >> 224         {
                                                   >> 225           zMax=pVoxelLimit.GetMaxZExtent();
                                                   >> 226         }
                                                   >> 227       }
                                                   >> 228     }
                                                   >> 229     xoffset=pTransform.NetTranslation().x();
                                                   >> 230     if (fDx2 >= fDx1)
                                                   >> 231     { 
                                                   >> 232       xMax =  xoffset+(fDx1+fDx2)/2+(zMax-zoffset)*(fDx2-fDx1)/(2*fDz) ;
                                                   >> 233       xMin = 2*xoffset - xMax ;
                                                   >> 234     }
                                                   >> 235     else
                                                   >> 236     {
                                                   >> 237       xMax =  xoffset+(fDx1+fDx2)/2+(zMin-zoffset)*(fDx2-fDx1)/(2*fDz) ;
                                                   >> 238       xMin =  2*xoffset - xMax ;
                                                   >> 239     }   
                                                   >> 240     if (pVoxelLimit.IsXLimited())
                                                   >> 241     {
                                                   >> 242       if ( (xMin>pVoxelLimit.GetMaxXExtent()+kCarTolerance)
                                                   >> 243         || (xMax<pVoxelLimit.GetMinXExtent()-kCarTolerance) )
                                                   >> 244       {
                                                   >> 245         return false;
                                                   >> 246       }
                                                   >> 247       else
                                                   >> 248       {
                                                   >> 249         if (xMin<pVoxelLimit.GetMinXExtent())
                                                   >> 250         {
                                                   >> 251           xMin=pVoxelLimit.GetMinXExtent();
                                                   >> 252         }
                                                   >> 253         if (xMax>pVoxelLimit.GetMaxXExtent())
                                                   >> 254         {
                                                   >> 255           xMax=pVoxelLimit.GetMaxXExtent();
                                                   >> 256         }
                                                   >> 257       }
                                                   >> 258     }
                                                   >> 259     yoffset= pTransform.NetTranslation().y() ;
                                                   >> 260     if(fDy2 >= fDy1)
                                                   >> 261     {
                                                   >> 262       yMax = yoffset+(fDy2+fDy1)/2+(zMax-zoffset)*(fDy2-fDy1)/(2*fDz) ;
                                                   >> 263       yMin = 2*yoffset - yMax ;
                                                   >> 264     }
                                                   >> 265     else
                                                   >> 266     {
                                                   >> 267       yMax = yoffset+(fDy2+fDy1)/2+(zMin-zoffset)*(fDy2-fDy1)/(2*fDz) ;
                                                   >> 268       yMin = 2*yoffset - yMax ;  
                                                   >> 269     }  
                                                   >> 270     if (pVoxelLimit.IsYLimited())
                                                   >> 271     {
                                                   >> 272       if ( (yMin>pVoxelLimit.GetMaxYExtent()+kCarTolerance)
                                                   >> 273         || (yMax<pVoxelLimit.GetMinYExtent()-kCarTolerance) )
                                                   >> 274       {
                                                   >> 275         return false;
                                                   >> 276       }
                                                   >> 277       else
                                                   >> 278       {
                                                   >> 279         if (yMin<pVoxelLimit.GetMinYExtent())
                                                   >> 280         {
                                                   >> 281           yMin=pVoxelLimit.GetMinYExtent();
                                                   >> 282         }
                                                   >> 283         if (yMax>pVoxelLimit.GetMaxYExtent())
                                                   >> 284         {
                                                   >> 285           yMax=pVoxelLimit.GetMaxYExtent();
                                                   >> 286         }
                                                   >> 287       }
                                                   >> 288     }
                                                   >> 289 
                                                   >> 290     switch (pAxis)
                                                   >> 291     {
                                                   >> 292       case kXAxis:
                                                   >> 293         pMin=xMin;
                                                   >> 294         pMax=xMax;
                                                   >> 295         break;
                                                   >> 296       case kYAxis:
                                                   >> 297         pMin=yMin;
                                                   >> 298         pMax=yMax;
                                                   >> 299         break;
                                                   >> 300       case kZAxis:
                                                   >> 301         pMin=zMin;
                                                   >> 302         pMax=zMax;
                                                   >> 303         break;
                                                   >> 304       default:
                                                   >> 305         break;
                                                   >> 306     }
                                                   >> 307 
                                                   >> 308     // Add 2*Tolerance to avoid precision troubles ?
                                                   >> 309     //
                                                   >> 310     pMin-=kCarTolerance;
                                                   >> 311     pMax+=kCarTolerance;
                                                   >> 312 
                                                   >> 313     return true;
295   }                                               314   }
                                                   >> 315   else
                                                   >> 316   {
                                                   >> 317     // General rotated case - create and clip mesh to boundaries
296                                                   318 
297   // Set bounding envelope (benv) and calculat << 319     G4bool existsAfterClip=false;
298   //                                           << 320     G4ThreeVectorList *vertices;
299   G4double dx1 = GetXHalfLength1();            << 321 
300   G4double dx2 = GetXHalfLength2();            << 322     pMin=+kInfinity;
301   G4double dy1 = GetYHalfLength1();            << 323     pMax=-kInfinity;
302   G4double dy2 = GetYHalfLength2();            << 324 
303   G4double dz  = GetZHalfLength();             << 325     // Calculate rotated vertex coordinates
304                                                << 326     //
305   G4ThreeVectorList baseA(4), baseB(4);        << 327     vertices=CreateRotatedVertices(pTransform);
306   baseA[0].set(-dx1,-dy1,-dz);                 << 328     ClipCrossSection(vertices,0,pVoxelLimit,pAxis,pMin,pMax);
307   baseA[1].set( dx1,-dy1,-dz);                 << 329     ClipCrossSection(vertices,4,pVoxelLimit,pAxis,pMin,pMax);
308   baseA[2].set( dx1, dy1,-dz);                 << 330     ClipBetweenSections(vertices,0,pVoxelLimit,pAxis,pMin,pMax);
309   baseA[3].set(-dx1, dy1,-dz);                 << 331       
310   baseB[0].set(-dx2,-dy2, dz);                 << 332     if (pMin!=kInfinity||pMax!=-kInfinity)
311   baseB[1].set( dx2,-dy2, dz);                 << 333     {
312   baseB[2].set( dx2, dy2, dz);                 << 334       existsAfterClip=true;
313   baseB[3].set(-dx2, dy2, dz);                 << 335 
314                                                << 336       // Add 2*tolerance to avoid precision troubles
315   std::vector<const G4ThreeVectorList *> polyg << 337       //
316   polygons[0] = &baseA;                        << 338       pMin-=kCarTolerance;
317   polygons[1] = &baseB;                        << 339       pMax+=kCarTolerance;
318                                                << 340         
319   G4BoundingEnvelope benv(bmin,bmax,polygons); << 341     }
320   exist = benv.CalculateExtent(pAxis,pVoxelLim << 342     else
321   return exist;                                << 343     {
                                                   >> 344       // Check for case where completely enveloping clipping volume
                                                   >> 345       // If point inside then we are confident that the solid completely
                                                   >> 346       // envelopes the clipping volume. Hence set min/max extents according
                                                   >> 347       // to clipping volume extents along the specified axis.
                                                   >> 348 
                                                   >> 349       G4ThreeVector clipCentre(
                                                   >> 350          (pVoxelLimit.GetMinXExtent()+pVoxelLimit.GetMaxXExtent())*0.5,
                                                   >> 351          (pVoxelLimit.GetMinYExtent()+pVoxelLimit.GetMaxYExtent())*0.5,
                                                   >> 352          (pVoxelLimit.GetMinZExtent()+pVoxelLimit.GetMaxZExtent())*0.5);
                                                   >> 353         
                                                   >> 354       if (Inside(pTransform.Inverse().TransformPoint(clipCentre))!=kOutside)
                                                   >> 355       {
                                                   >> 356         existsAfterClip=true;
                                                   >> 357         pMin=pVoxelLimit.GetMinExtent(pAxis);
                                                   >> 358         pMax=pVoxelLimit.GetMaxExtent(pAxis);
                                                   >> 359       }
                                                   >> 360     }
                                                   >> 361     delete vertices;
                                                   >> 362     return existsAfterClip;
                                                   >> 363   }
322 }                                                 364 }
323                                                   365 
324 ////////////////////////////////////////////// << 366 ///////////////////////////////////////////////////////////////////
325 //                                                367 //
326 // Return whether point inside/outside/on surf    368 // Return whether point inside/outside/on surface, using tolerance
327                                                   369 
328 EInside G4Trd::Inside( const G4ThreeVector& p     370 EInside G4Trd::Inside( const G4ThreeVector& p ) const
329 {                                              << 371 {  
330   G4double dx = fPlanes[3].a*std::abs(p.x())+f << 372   EInside in=kOutside;
331   G4double dy = fPlanes[1].b*std::abs(p.y())+f << 373   G4double x,y,zbase1,zbase2;
332   G4double dxy = std::max(dx,dy);              << 374     
                                                   >> 375   if (std::fabs(p.z())<=fDz-kCarTolerance/2)
                                                   >> 376   {
                                                   >> 377     zbase1=p.z()+fDz;  // Dist from -ve z plane
                                                   >> 378     zbase2=fDz-p.z();  // Dist from +ve z plane
333                                                   379 
334   G4double dz = std::abs(p.z())-fDz;           << 380     // Check whether inside x tolerance
335   G4double dist = std::max(dz,dxy);            << 381     //
                                                   >> 382     x=0.5*(fDx2*zbase1+fDx1*zbase2)/fDz - kCarTolerance/2;
                                                   >> 383     if (std::fabs(p.x())<=x)
                                                   >> 384     {
                                                   >> 385       y=0.5*((fDy2*zbase1+fDy1*zbase2))/fDz - kCarTolerance/2;
                                                   >> 386       if (std::fabs(p.y())<=y)
                                                   >> 387       {
                                                   >> 388         in=kInside;
                                                   >> 389       }
                                                   >> 390       else if (std::fabs(p.y())<=y+kCarTolerance)
                                                   >> 391       {
                                                   >> 392         in=kSurface;
                                                   >> 393       }
                                                   >> 394     }
                                                   >> 395     else if (std::fabs(p.x())<=x+kCarTolerance)
                                                   >> 396     {
                                                   >> 397       // y = y half width of shape at z of point + tolerant boundary
                                                   >> 398       //
                                                   >> 399       y=0.5*((fDy2*zbase1+fDy1*zbase2))/fDz + kCarTolerance/2;
                                                   >> 400       if (std::fabs(p.y())<=y)
                                                   >> 401       {
                                                   >> 402         in=kSurface;
                                                   >> 403       }
                                                   >> 404     }
                                                   >> 405   }
                                                   >> 406   else if (std::fabs(p.z())<=fDz+kCarTolerance/2)
                                                   >> 407   {
                                                   >> 408     // Only need to check outer tolerant boundaries
                                                   >> 409     //
                                                   >> 410     zbase1=p.z()+fDz;  // Dist from -ve z plane
                                                   >> 411     zbase2=fDz-p.z();   // Dist from +ve z plane
336                                                   412 
337   return (dist > halfCarTolerance) ? kOutside  << 413     // x = x half width of shape at z of point plus tolerance
338     ((dist > -halfCarTolerance) ? kSurface : k << 414     //
                                                   >> 415     x=0.5*(fDx2*zbase1+fDx1*zbase2)/fDz + kCarTolerance/2;
                                                   >> 416     if (std::fabs(p.x())<=x)
                                                   >> 417     {
                                                   >> 418       // y = y half width of shape at z of point
                                                   >> 419       //
                                                   >> 420       y=0.5*((fDy2*zbase1+fDy1*zbase2))/fDz + kCarTolerance/2;
                                                   >> 421       if (std::fabs(p.y())<=y) in=kSurface;
                                                   >> 422     }
                                                   >> 423   }  
                                                   >> 424   return in;
339 }                                                 425 }
340                                                   426 
341 //////////////////////////////////////////////    427 //////////////////////////////////////////////////////////////////////////
342 //                                                428 //
343 // Determine side where point is, and return c << 429 // Calculate side nearest to p, and return normal
                                                   >> 430 // If two sides are equidistant, normal of first side (x/y/z) 
                                                   >> 431 // encountered returned
344                                                   432 
345 G4ThreeVector G4Trd::SurfaceNormal( const G4Th    433 G4ThreeVector G4Trd::SurfaceNormal( const G4ThreeVector& p ) const
346 {                                                 434 {
347   G4int nsurf = 0; // number of surfaces where << 435   G4ThreeVector norm, sumnorm(0.,0.,0.);
348                                                << 436   G4int noSurfaces = 0; 
349   // Check Z faces                             << 437   G4double z = 2.0*fDz, tanx, secx, newpx, widx;
350   //                                           << 438   G4double tany, secy, newpy, widy;
351   G4double nz = 0;                             << 439   G4double distx, disty, distz, fcos;
352   G4double dz = std::abs(p.z()) - fDz;         << 440   G4double delta = 0.5*kCarTolerance;
353   if (std::abs(dz) <= halfCarTolerance)        << 441 
354   {                                            << 442   tanx  = (fDx2 - fDx1)/z;
355     nz = (p.z() < 0) ? -1 : 1;                 << 443   secx  = std::sqrt(1.0+tanx*tanx);
356     ++nsurf;                                   << 444   newpx = std::fabs(p.x())-p.z()*tanx;
                                                   >> 445   widx  = fDx2 - fDz*tanx;
                                                   >> 446 
                                                   >> 447   tany  = (fDy2 - fDy1)/z;
                                                   >> 448   secy  = std::sqrt(1.0+tany*tany);
                                                   >> 449   newpy = std::fabs(p.y())-p.z()*tany;
                                                   >> 450   widy  = fDy2 - fDz*tany;
                                                   >> 451 
                                                   >> 452   distx = std::fabs(newpx-widx)/secx;       // perp. distance to x side
                                                   >> 453   disty = std::fabs(newpy-widy)/secy;       //                to y side
                                                   >> 454   distz = std::fabs(std::fabs(p.z())-fDz);  //                to z side
                                                   >> 455 
                                                   >> 456   fcos              = 1.0/secx;
                                                   >> 457   G4ThreeVector nX  = G4ThreeVector( fcos,0,-tanx*fcos);
                                                   >> 458   G4ThreeVector nmX = G4ThreeVector(-fcos,0,-tanx*fcos);
                                                   >> 459 
                                                   >> 460   fcos              = 1.0/secy;
                                                   >> 461   G4ThreeVector nY  = G4ThreeVector(0, fcos,-tany*fcos);
                                                   >> 462   G4ThreeVector nmY = G4ThreeVector(0,-fcos,-tany*fcos);
                                                   >> 463   G4ThreeVector nZ  = G4ThreeVector( 0, 0,  1.0);
                                                   >> 464  
                                                   >> 465   if (distx <= delta)      
                                                   >> 466   {
                                                   >> 467     noSurfaces ++;
                                                   >> 468     if ( p.x() >= 0.) sumnorm += nX;
                                                   >> 469     else              sumnorm += nmX;   
                                                   >> 470   }
                                                   >> 471   if (disty <= delta)
                                                   >> 472   {
                                                   >> 473     noSurfaces ++;
                                                   >> 474     if ( p.y() >= 0.) sumnorm += nY;
                                                   >> 475     else              sumnorm += nmY;   
                                                   >> 476   }
                                                   >> 477   if (distz <= delta)  
                                                   >> 478   {
                                                   >> 479     noSurfaces ++;
                                                   >> 480     if ( p.z() >= 0.) sumnorm += nZ;
                                                   >> 481     else              sumnorm -= nZ; 
357   }                                               482   }
358                                                << 483   if ( noSurfaces == 0 )
359   // Check Y faces                             << 
360   //                                           << 
361   G4double ny = 0;                             << 
362   G4double dy1 = fPlanes[0].b*p.y();           << 
363   G4double dy2 = fPlanes[0].c*p.z() + fPlanes[ << 
364   if (std::abs(dy2 + dy1) <= halfCarTolerance) << 
365   {                                            << 
366     ny += fPlanes[0].b;                        << 
367     nz += fPlanes[0].c;                        << 
368     ++nsurf;                                   << 
369   }                                            << 
370   if (std::abs(dy2 - dy1) <= halfCarTolerance) << 
371   {                                            << 
372     ny += fPlanes[1].b;                        << 
373     nz += fPlanes[1].c;                        << 
374     ++nsurf;                                   << 
375   }                                            << 
376                                                << 
377   // Check X faces                             << 
378   //                                           << 
379   G4double nx = 0;                             << 
380   G4double dx1 = fPlanes[2].a*p.x();           << 
381   G4double dx2 = fPlanes[2].c*p.z() + fPlanes[ << 
382   if (std::abs(dx2 + dx1) <= halfCarTolerance) << 
383   {                                            << 
384     nx += fPlanes[2].a;                        << 
385     nz += fPlanes[2].c;                        << 
386     ++nsurf;                                   << 
387   }                                            << 
388   if (std::abs(dx2 - dx1) <= halfCarTolerance) << 
389   {                                            << 
390     nx += fPlanes[3].a;                        << 
391     nz += fPlanes[3].c;                        << 
392     ++nsurf;                                   << 
393   }                                            << 
394                                                << 
395   // Return normal                             << 
396   //                                           << 
397   if (nsurf == 1)      return {nx,ny,nz};      << 
398   else if (nsurf != 0) return G4ThreeVector(nx << 
399   else                                         << 
400   {                                               484   {
401     // Point is not on the surface             << 
402     //                                         << 
403 #ifdef G4CSGDEBUG                                 485 #ifdef G4CSGDEBUG
404     std::ostringstream message;                << 486     G4Exception("G4Trd::SurfaceNormal(p)", "GeomSolids1002", JustWarning, 
405     G4long oldprc = message.precision(16);     << 487                 "Point p is not on surface !?" );
406     message << "Point p is not on surface (!?) << 488 #endif 
407             << GetName() << G4endl;            << 489      norm = ApproxSurfaceNormal(p);
408     message << "Position:\n";                  << 
409     message << "   p.x() = " << p.x()/mm << "  << 
410     message << "   p.y() = " << p.y()/mm << "  << 
411     message << "   p.z() = " << p.z()/mm << "  << 
412     G4cout.precision(oldprc) ;                 << 
413     G4Exception("G4Trd::SurfaceNormal(p)", "Ge << 
414                 JustWarning, message );        << 
415     DumpInfo();                                << 
416 #endif                                         << 
417     return ApproxSurfaceNormal(p);             << 
418   }                                               490   }
                                                   >> 491   else if ( noSurfaces == 1 ) norm = sumnorm;
                                                   >> 492   else                        norm = sumnorm.unit();
                                                   >> 493   return norm;   
419 }                                                 494 }
420                                                   495 
421 ////////////////////////////////////////////// << 496 
                                                   >> 497 /////////////////////////////////////////////////////////////////////////////
422 //                                                498 //
423 // Algorithm for SurfaceNormal() following the    499 // Algorithm for SurfaceNormal() following the original specification
424 // for points not on the surface                  500 // for points not on the surface
425                                                   501 
426 G4ThreeVector G4Trd::ApproxSurfaceNormal( cons    502 G4ThreeVector G4Trd::ApproxSurfaceNormal( const G4ThreeVector& p ) const
427 {                                                 503 {
428   G4double dist = -DBL_MAX;                    << 504   G4ThreeVector norm;
429   G4int iside = 0;                             << 505   G4double z,tanx,secx,newpx,widx;
430   for (G4int i=0; i<4; ++i)                    << 506   G4double tany,secy,newpy,widy;
431   {                                            << 507   G4double distx,disty,distz,fcos;
432     G4double d = fPlanes[i].a*p.x() +          << 508 
433                  fPlanes[i].b*p.y() +          << 509   z=2.0*fDz;
434                  fPlanes[i].c*p.z() + fPlanes[ << 510 
435     if (d > dist) { dist = d; iside = i; }     << 511   tanx=(fDx2-fDx1)/z;
436   }                                            << 512   secx=std::sqrt(1.0+tanx*tanx);
                                                   >> 513   newpx=std::fabs(p.x())-p.z()*tanx;
                                                   >> 514   widx=fDx2-fDz*tanx;
                                                   >> 515 
                                                   >> 516   tany=(fDy2-fDy1)/z;
                                                   >> 517   secy=std::sqrt(1.0+tany*tany);
                                                   >> 518   newpy=std::fabs(p.y())-p.z()*tany;
                                                   >> 519   widy=fDy2-fDz*tany;
                                                   >> 520 
                                                   >> 521   distx=std::fabs(newpx-widx)/secx;  // perpendicular distance to x side
                                                   >> 522   disty=std::fabs(newpy-widy)/secy;  //                        to y side
                                                   >> 523   distz=std::fabs(std::fabs(p.z())-fDz);  //                        to z side
437                                                   524 
438   G4double distz = std::abs(p.z()) - fDz;      << 525   // find closest side
439   if (dist > distz)                            << 526   //
440     return { fPlanes[iside].a, fPlanes[iside]. << 527   if (distx<=disty)
                                                   >> 528   { 
                                                   >> 529     if (distx<=distz) 
                                                   >> 530     {
                                                   >> 531       // Closest to X
                                                   >> 532       //
                                                   >> 533       fcos=1.0/secx;
                                                   >> 534       // normal=(+/-std::cos(ang),0,-std::sin(ang))
                                                   >> 535       if (p.x()>=0)
                                                   >> 536         norm=G4ThreeVector(fcos,0,-tanx*fcos);
                                                   >> 537       else
                                                   >> 538         norm=G4ThreeVector(-fcos,0,-tanx*fcos);
                                                   >> 539     }
                                                   >> 540     else
                                                   >> 541     {
                                                   >> 542       // Closest to Z
                                                   >> 543       //
                                                   >> 544       if (p.z()>=0)
                                                   >> 545         norm=G4ThreeVector(0,0,1);
                                                   >> 546       else
                                                   >> 547         norm=G4ThreeVector(0,0,-1);
                                                   >> 548     }
                                                   >> 549   }
441   else                                            550   else
442     return { 0, 0, (G4double)((p.z() < 0) ? -1 << 551   {  
                                                   >> 552     if (disty<=distz)
                                                   >> 553     {
                                                   >> 554       // Closest to Y
                                                   >> 555       //
                                                   >> 556       fcos=1.0/secy;
                                                   >> 557       if (p.y()>=0)
                                                   >> 558         norm=G4ThreeVector(0,fcos,-tany*fcos);
                                                   >> 559       else
                                                   >> 560         norm=G4ThreeVector(0,-fcos,-tany*fcos);
                                                   >> 561     }
                                                   >> 562     else 
                                                   >> 563     {
                                                   >> 564       // Closest to Z
                                                   >> 565       //
                                                   >> 566       if (p.z()>=0)
                                                   >> 567         norm=G4ThreeVector(0,0,1);
                                                   >> 568       else
                                                   >> 569         norm=G4ThreeVector(0,0,-1);
                                                   >> 570     }
                                                   >> 571   }
                                                   >> 572   return norm;   
443 }                                                 573 }
444                                                   574 
445 ////////////////////////////////////////////// << 575 ////////////////////////////////////////////////////////////////////////////
446 //                                                576 //
447 // Calculate distance to shape from outside       577 // Calculate distance to shape from outside
448 //  - return kInfinity if no intersection      << 578 // - return kInfinity if no intersection
                                                   >> 579 //
                                                   >> 580 // ALGORITHM:
                                                   >> 581 // For each component, calculate pair of minimum and maximum intersection
                                                   >> 582 // values for which the particle is in the extent of the shape
                                                   >> 583 // - The smallest (MAX minimum) allowed distance of the pairs is intersect
                                                   >> 584 // - Z plane intersectin uses tolerance
                                                   >> 585 // - XZ YZ planes use logic & *SLIGHTLY INCORRECT* tolerance
                                                   >> 586 //   (this saves at least 1 sqrt, 1 multiply and 1 divide... in applicable
                                                   >> 587 //    cases)
                                                   >> 588 // - Note: XZ and YZ planes each divide space into four regions,
                                                   >> 589 //   characterised by ss1 ss2
                                                   >> 590 // NOTE:
                                                   >> 591 //
                                                   >> 592 // `Inside' safe - meaningful answers given if point is inside the exact
                                                   >> 593 // shape.
                                                   >> 594 
                                                   >> 595 G4double G4Trd::DistanceToIn( const G4ThreeVector& p,
                                                   >> 596                               const G4ThreeVector& v ) const
                                                   >> 597 {  
                                                   >> 598   G4double snxt = kInfinity ;    // snxt = default return value
                                                   >> 599   G4double smin,smax;
                                                   >> 600   G4double s1,s2,tanxz,tanyz,ds1,ds2;
                                                   >> 601   G4double ss1,ss2,sn1=0.,sn2=0.,Dist;
449                                                   602 
450 G4double G4Trd::DistanceToIn(const G4ThreeVect << 603   if ( v.z() )  // Calculate valid z intersect range
451                              const G4ThreeVect << 604   {
452 {                                              << 605     if ( v.z() > 0 )   // Calculate smax: must be +ve or no intersection.
453   // Z intersections                           << 606     {
454   //                                           << 607       Dist = fDz - p.z() ;  // to plane at +dz
455   if ((std::abs(p.z()) - fDz) >= -halfCarToler << 
456     return kInfinity;                          << 
457   G4double invz = (-v.z() == 0) ? DBL_MAX : -1 << 
458   G4double dz = (invz < 0) ? fDz : -fDz;       << 
459   G4double tzmin = (p.z() + dz)*invz;          << 
460   G4double tzmax = (p.z() - dz)*invz;          << 
461                                                   608 
462   // Y intersections                           << 609       if (Dist >= 0.5*kCarTolerance)
463   //                                           << 610       {
464   G4double tmin0 = tzmin, tmax0 = tzmax;       << 611         smax = Dist/v.z() ;
465   G4double ya = fPlanes[0].b*v.y(), yb = fPlan << 612         smin = -(fDz + p.z())/v.z() ;
466   G4double yc = fPlanes[0].b*p.y(), yd = fPlan << 613       }
467   G4double cos0 = yb + ya;                     << 614       else  return snxt ;
468   G4double dis0 = yd + yc;                     << 615     }
469   if (dis0 >= -halfCarTolerance)               << 616     else // v.z <0
                                                   >> 617     {
                                                   >> 618       Dist=fDz+p.z();  // plane at -dz
                                                   >> 619 
                                                   >> 620       if ( Dist >= 0.5*kCarTolerance )
                                                   >> 621       {
                                                   >> 622         smax = -Dist/v.z() ;
                                                   >> 623         smin = (fDz - p.z())/v.z() ;
                                                   >> 624       }
                                                   >> 625       else return snxt ; 
                                                   >> 626     }
                                                   >> 627     if (smin < 0 ) smin = 0 ;
                                                   >> 628   }
                                                   >> 629   else // v.z=0
470   {                                               630   {
471     if (cos0 >= 0) return kInfinity;           << 631     if (std::fabs(p.z()) >= fDz ) return snxt ;     // Outside & no intersect
472     G4double tmp  = -dis0/cos0;                << 632     else
473     if (tmin0 < tmp) tmin0 = tmp;              << 633     {
                                                   >> 634       smin = 0 ;    // Always inside z range
                                                   >> 635       smax = kInfinity;
                                                   >> 636     }
474   }                                               637   }
475   else if (cos0 > 0)                           << 638 
                                                   >> 639   // Calculate x intersection range
                                                   >> 640   //
                                                   >> 641   // Calc half width at p.z, and components towards planes
                                                   >> 642 
                                                   >> 643   tanxz = (fDx2 - fDx1)*0.5/fDz ;
                                                   >> 644   s1    = 0.5*(fDx1+fDx2) + tanxz*p.z() ;  // x half width at p.z
                                                   >> 645   ds1   = v.x() - tanxz*v.z() ;       // Components of v towards faces at +-x
                                                   >> 646   ds2   = v.x() + tanxz*v.z() ;
                                                   >> 647   ss1   = s1 - p.x() ;         // -delta x to +ve plane
                                                   >> 648                                // -ve when outside
                                                   >> 649   ss2   = -s1 - p.x() ;        // -delta x to -ve plane
                                                   >> 650                                // +ve when outside
                                                   >> 651     
                                                   >> 652   if (ss1 < 0 && ss2 <= 0 )
476   {                                               653   {
477     G4double tmp  = -dis0/cos0;                << 654     if (ds1 < 0)   // In +ve coord Area
478     if (tmax0 > tmp) tmax0 = tmp;              << 655     {
                                                   >> 656       sn1 = ss1/ds1 ;
                                                   >> 657 
                                                   >> 658       if ( ds2 < 0 ) sn2 = ss2/ds2 ;           
                                                   >> 659       else           sn2 = kInfinity ;
                                                   >> 660     }
                                                   >> 661     else return snxt ;
479   }                                               662   }
                                                   >> 663   else if ( ss1 >= 0 && ss2 > 0 )
                                                   >> 664   {
                                                   >> 665     if ( ds2 > 0 )  // In -ve coord Area
                                                   >> 666     {
                                                   >> 667       sn1 = ss2/ds2 ;
480                                                   668 
481   G4double tmin1 = tmin0, tmax1 = tmax0;       << 669       if (ds1 > 0)  sn2 = ss1/ds1 ;      
482   G4double cos1 = yb - ya;                     << 670       else          sn2 = kInfinity;      
483   G4double dis1 = yd - yc;                     << 671         
484   if (dis1 >= -halfCarTolerance)               << 672     }
                                                   >> 673     else   return snxt ;
                                                   >> 674   }
                                                   >> 675   else if (ss1 >= 0 && ss2 <= 0 )
485   {                                               676   {
486     if (cos1 >= 0) return kInfinity;           << 677     // Inside Area - calculate leaving distance
487     G4double tmp  = -dis1/cos1;                << 678     // *Don't* use exact distance to side for tolerance
488     if (tmin1 < tmp) tmin1 = tmp;              << 679     //                                             = ss1*std::cos(ang xz)
                                                   >> 680     //                                             = ss1/std::sqrt(1.0+tanxz*tanxz)
                                                   >> 681     sn1 = 0 ;
                                                   >> 682 
                                                   >> 683     if ( ds1 > 0 )
                                                   >> 684     {
                                                   >> 685       if (ss1 > 0.5*kCarTolerance) sn2 = ss1/ds1 ; // Leave +ve side extent
                                                   >> 686       else                         return snxt ;   // Leave immediately by +ve 
                                                   >> 687     }
                                                   >> 688     else  sn2 = kInfinity ;
                                                   >> 689       
                                                   >> 690     if ( ds2 < 0 )
                                                   >> 691     {
                                                   >> 692       if ( ss2 < -0.5*kCarTolerance )
                                                   >> 693       {
                                                   >> 694         Dist = ss2/ds2 ;            // Leave -ve side extent
                                                   >> 695         if ( Dist < sn2 ) sn2 = Dist ;
                                                   >> 696       }
                                                   >> 697       else  return snxt ;
                                                   >> 698     }    
489   }                                               699   }
490   else if (cos1 > 0)                           << 700   else if (ss1 < 0 && ss2 > 0 )
491   {                                               701   {
492     G4double tmp  = -dis1/cos1;                << 702     // Within +/- plane cross-over areas (not on boundaries ss1||ss2==0)
493     if (tmax1 > tmp) tmax1 = tmp;              << 703 
                                                   >> 704     if ( ds1 >= 0 || ds2 <= 0 )
                                                   >> 705     {   
                                                   >> 706       return snxt ;
                                                   >> 707     }
                                                   >> 708     else  // Will intersect & stay inside
                                                   >> 709     {
                                                   >> 710       sn1  = ss1/ds1 ;
                                                   >> 711       Dist = ss2/ds2 ;
                                                   >> 712       if (Dist > sn1 ) sn1 = Dist ;
                                                   >> 713       sn2 = kInfinity ;
                                                   >> 714     }
494   }                                               715   }
495                                                   716 
496   // X intersections                           << 717   // Reduce allowed range of distances as appropriate
497   //                                           << 718 
498   G4double tmin2 = tmin1, tmax2 = tmax1;       << 719   if ( sn1 > smin ) smin = sn1 ;
499   G4double xa = fPlanes[2].a*v.x(), xb = fPlan << 720   if ( sn2 < smax ) smax = sn2 ;
500   G4double xc = fPlanes[2].a*p.x(), xd = fPlan << 721 
501   G4double cos2 = xb + xa;                     << 722   // Check for incompatible ranges (eg z intersects between 50 ->100 and x
502   G4double dis2 = xd + xc;                     << 723   // only 10-40 -> no intersection)
503   if (dis2 >= -halfCarTolerance)               << 724 
                                                   >> 725   if ( smax < smin ) return snxt ;
                                                   >> 726 
                                                   >> 727   // Calculate valid y intersection range 
                                                   >> 728   // (repeat of x intersection code)
                                                   >> 729 
                                                   >> 730   tanyz = (fDy2-fDy1)*0.5/fDz ;
                                                   >> 731   s2    = 0.5*(fDy1+fDy2) + tanyz*p.z() ;  // y half width at p.z
                                                   >> 732   ds1   = v.y() - tanyz*v.z() ;       // Components of v towards faces at +-y
                                                   >> 733   ds2   = v.y() + tanyz*v.z() ;
                                                   >> 734   ss1   = s2 - p.y() ;         // -delta y to +ve plane
                                                   >> 735   ss2   = -s2 - p.y() ;        // -delta y to -ve plane
                                                   >> 736     
                                                   >> 737   if ( ss1 < 0 && ss2 <= 0 )
504   {                                               738   {
505     if (cos2 >= 0) return kInfinity;           << 739     if (ds1 < 0 ) // In +ve coord Area
506     G4double tmp  = -dis2/cos2;                << 740     {
507     if (tmin2 < tmp) tmin2 = tmp;              << 741       sn1 = ss1/ds1 ;
                                                   >> 742       if ( ds2 < 0 )  sn2 = ss2/ds2 ;
                                                   >> 743       else            sn2 = kInfinity ;
                                                   >> 744     }
                                                   >> 745     else   return snxt ;
508   }                                               746   }
509   else if (cos2 > 0)                           << 747   else if ( ss1 >= 0 && ss2 > 0 )
510   {                                               748   {
511     G4double tmp  = -dis2/cos2;                << 749     if ( ds2 > 0 )  // In -ve coord Area
512     if (tmax2 > tmp) tmax2 = tmp;              << 750     {
                                                   >> 751       sn1 = ss2/ds2 ;
                                                   >> 752       if ( ds1 > 0 )  sn2 = ss1/ds1 ;
                                                   >> 753       else            sn2 = kInfinity ;      
                                                   >> 754     }
                                                   >> 755     else   return snxt ;
513   }                                               756   }
514                                                << 757   else if (ss1 >= 0 && ss2 <= 0 )
515   G4double tmin3 = tmin2, tmax3 = tmax2;       << 
516   G4double cos3 = xb - xa;                     << 
517   G4double dis3 = xd - xc;                     << 
518   if (dis3 >= -halfCarTolerance)               << 
519   {                                               758   {
520     if (cos3 >= 0) return kInfinity;           << 759     // Inside Area - calculate leaving distance
521     G4double tmp  = -dis3/cos3;                << 760     // *Don't* use exact distance to side for tolerance
522     if (tmin3 < tmp) tmin3 = tmp;              << 761     //                                          = ss1*std::cos(ang yz)
                                                   >> 762     //                                          = ss1/std::sqrt(1.0+tanyz*tanyz)
                                                   >> 763     sn1 = 0 ;
                                                   >> 764 
                                                   >> 765     if ( ds1 > 0 )
                                                   >> 766     {
                                                   >> 767       if (ss1 > 0.5*kCarTolerance) sn2 = ss1/ds1 ; // Leave +ve side extent
                                                   >> 768       else                         return snxt ;   // Leave immediately by +ve
                                                   >> 769     }
                                                   >> 770     else  sn2 = kInfinity ;
                                                   >> 771       
                                                   >> 772     if ( ds2 < 0 )
                                                   >> 773     {
                                                   >> 774       if ( ss2 < -0.5*kCarTolerance )
                                                   >> 775       {
                                                   >> 776         Dist = ss2/ds2 ; // Leave -ve side extent
                                                   >> 777         if (Dist < sn2) sn2=Dist;
                                                   >> 778       }
                                                   >> 779       else  return snxt ;
                                                   >> 780     }    
523   }                                               781   }
524   else if (cos3 > 0)                           << 782   else if (ss1 < 0 && ss2 > 0 )
525   {                                               783   {
526     G4double tmp  = -dis3/cos3;                << 784     // Within +/- plane cross-over areas (not on boundaries ss1||ss2==0)
527     if (tmax3 > tmp) tmax3 = tmp;              << 785 
                                                   >> 786     if (ds1 >= 0 || ds2 <= 0 )  
                                                   >> 787     {
                                                   >> 788       return snxt ;
                                                   >> 789     }
                                                   >> 790     else  // Will intersect & stay inside
                                                   >> 791     {
                                                   >> 792       sn1 = ss1/ds1 ;
                                                   >> 793       Dist = ss2/ds2 ;
                                                   >> 794       if (Dist > sn1 ) sn1 = Dist ;
                                                   >> 795       sn2 = kInfinity ;
                                                   >> 796     }
528   }                                               797   }
                                                   >> 798   
                                                   >> 799   // Reduce allowed range of distances as appropriate
529                                                   800 
530   // Find distance                             << 801   if ( sn1 > smin) smin = sn1 ;
531   //                                           << 802   if ( sn2 < smax) smax = sn2 ;
532   G4double tmin = tmin3, tmax = tmax3;         << 803 
533   if (tmax <= tmin + halfCarTolerance) return  << 804   // Check for incompatible ranges (eg x intersects between 50 ->100 and y
534   return (tmin < halfCarTolerance ) ? 0. : tmi << 805   // only 10-40 -> no intersection). Set snxt if ok
                                                   >> 806 
                                                   >> 807   if ( smax > smin ) snxt = smin ;
                                                   >> 808   if (snxt < 0.5*kCarTolerance ) snxt = 0.0 ;
                                                   >> 809 
                                                   >> 810   return snxt ;
535 }                                                 811 }
536                                                   812 
537 ////////////////////////////////////////////// << 813 /////////////////////////////////////////////////////////////////////////
538 //                                                814 //
539 // Calculate exact shortest distance to any bo << 815 // Approximate distance to shape
540 // This is the best fast estimation of the sho << 816 // Calculate perpendicular distances to z/x/y surfaces, return largest
541 // - returns 0 if point is inside              << 817 // which is the most fast estimation of shortest distance to Trd
                                                   >> 818 //  - Safe underestimate
                                                   >> 819 //  - If point within exact shape, return 0 
542                                                   820 
543 G4double G4Trd::DistanceToIn( const G4ThreeVec    821 G4double G4Trd::DistanceToIn( const G4ThreeVector& p ) const
544 {                                                 822 {
545   G4double dx = fPlanes[3].a*std::abs(p.x())+f << 823   G4double safe=0.0;
546   G4double dy = fPlanes[1].b*std::abs(p.y())+f << 824   G4double tanxz,distx,safx;
547   G4double dxy = std::max(dx,dy);              << 825   G4double tanyz,disty,safy;
                                                   >> 826   G4double zbase;
                                                   >> 827 
                                                   >> 828   safe=std::fabs(p.z())-fDz;
                                                   >> 829   if (safe<0) safe=0;      // Also used to ensure x/y distances
                                                   >> 830                            // POSITIVE 
548                                                   831 
549   G4double dz = std::abs(p.z())-fDz;           << 832   zbase=fDz+p.z();
550   G4double dist = std::max(dz,dxy);            << 
551                                                   833 
552   return (dist > 0) ? dist : 0.;               << 834   // Find distance along x direction to closest x plane
                                                   >> 835   //
                                                   >> 836   tanxz=(fDx2-fDx1)*0.5/fDz;
                                                   >> 837   //    widx=fDx1+tanxz*(fDz+p.z()); // x width at p.z
                                                   >> 838   //    distx=std::fabs(p.x())-widx;      // distance to plane
                                                   >> 839   distx=std::fabs(p.x())-(fDx1+tanxz*zbase);
                                                   >> 840   if (distx>safe)
                                                   >> 841   {
                                                   >> 842     safx=distx/std::sqrt(1.0+tanxz*tanxz); // vector Dist=Dist*std::cos(ang)
                                                   >> 843     if (safx>safe) safe=safx;
                                                   >> 844   }
                                                   >> 845 
                                                   >> 846   // Find distance along y direction to slanted wall
                                                   >> 847   tanyz=(fDy2-fDy1)*0.5/fDz;
                                                   >> 848   //    widy=fDy1+tanyz*(fDz+p.z()); // y width at p.z
                                                   >> 849   //    disty=std::fabs(p.y())-widy;      // distance to plane
                                                   >> 850   disty=std::fabs(p.y())-(fDy1+tanyz*zbase);
                                                   >> 851   if (disty>safe)    
                                                   >> 852   {
                                                   >> 853     safy=disty/std::sqrt(1.0+tanyz*tanyz); // distance along vector
                                                   >> 854     if (safy>safe) safe=safy;
                                                   >> 855   }
                                                   >> 856   return safe;
553 }                                                 857 }
554                                                   858 
555 ////////////////////////////////////////////// << 859 ////////////////////////////////////////////////////////////////////////
556 //                                                860 //
557 // Calculate distance to surface of shape from << 861 // Calcluate distance to surface of shape from inside
558 // find normal at exit point, if required      << 862 // Calculate distance to x/y/z planes - smallest is exiting distance
559 // - when leaving the surface, return 0        << 863 // - z planes have std. check for tolerance
560                                                << 864 // - xz yz planes have check based on distance || to x or y axis
561 G4double G4Trd::DistanceToOut(const G4ThreeVec << 865 //   (not corrected for slope of planes)
562                               const G4bool cal << 866 // ?BUG? If v.z==0 are there cases when snside not set????
563                                     G4bool* va << 867 
                                                   >> 868 G4double G4Trd::DistanceToOut( const G4ThreeVector& p,
                                                   >> 869                                const G4ThreeVector& v,
                                                   >> 870                                const G4bool calcNorm,
                                                   >> 871                                      G4bool *validNorm,
                                                   >> 872                                      G4ThreeVector *n ) const
564 {                                                 873 {
565   // Z intersections                           << 874   ESide side = kUndefined, snside = kUndefined;
566   //                                           << 875   G4double snxt,pdist;
567   if ((std::abs(p.z()) - fDz) >= -halfCarToler << 876   G4double central,ss1,ss2,ds1,ds2,sn=0.,sn2=0.;
                                                   >> 877   G4double tanxz=0.,cosxz=0.,tanyz=0.,cosyz=0.;
                                                   >> 878 
                                                   >> 879   if (calcNorm) *validNorm=true; // All normals are valid
                                                   >> 880 
                                                   >> 881   // Calculate z plane intersection
                                                   >> 882   if (v.z()>0)
568   {                                               883   {
569     if (calcNorm)                              << 884     pdist=fDz-p.z();
                                                   >> 885     if (pdist>kCarTolerance/2)
570     {                                             886     {
571       *validNorm = true;                       << 887       snxt=pdist/v.z();
572       n->set(0, 0, (p.z() < 0) ? -1 : 1);      << 888       side=kPZ;
                                                   >> 889     }
                                                   >> 890     else
                                                   >> 891     {
                                                   >> 892       if (calcNorm)
                                                   >> 893       {
                                                   >> 894         *n=G4ThreeVector(0,0,1);
                                                   >> 895       }
                                                   >> 896       return snxt=0;
573     }                                             897     }
574     return 0;                                  << 
575   }                                               898   }
576   G4double vz = v.z();                         << 899   else if (v.z()<0) 
577   G4double tmax = (vz == 0) ? DBL_MAX : (std:: << 900   {
578   G4int iside = (vz < 0) ? -4 : -2; // little  << 901     pdist=fDz+p.z();
                                                   >> 902     if (pdist>kCarTolerance/2)
                                                   >> 903     {
                                                   >> 904       snxt=-pdist/v.z();
                                                   >> 905       side=kMZ;
                                                   >> 906     }
                                                   >> 907     else
                                                   >> 908     {
                                                   >> 909       if (calcNorm)
                                                   >> 910       {
                                                   >> 911         *n=G4ThreeVector(0,0,-1);
                                                   >> 912       }
                                                   >> 913       return snxt=0;
                                                   >> 914     }
                                                   >> 915   }
                                                   >> 916   else
                                                   >> 917   {
                                                   >> 918     snxt=kInfinity;
                                                   >> 919   }
579                                                   920 
580   // Y intersections                           << 
581   //                                              921   //
582   G4int i = 0;                                 << 922   // Calculate x intersection
583   for ( ; i<2; ++i)                            << 923   //
584   {                                            << 924   tanxz=(fDx2-fDx1)*0.5/fDz;
585     G4double cosa = fPlanes[i].b*v.y() + fPlan << 925   central=0.5*(fDx1+fDx2);
586     if (cosa > 0)                              << 926 
                                                   >> 927   // +ve plane (1)
                                                   >> 928   //
                                                   >> 929   ss1=central+tanxz*p.z()-p.x();  // distance || x axis to plane
                                                   >> 930                                   // (+ve if point inside)
                                                   >> 931   ds1=v.x()-tanxz*v.z();    // component towards plane at +x
                                                   >> 932                             // (-ve if +ve -> -ve direction)
                                                   >> 933   // -ve plane (2)
                                                   >> 934   //
                                                   >> 935   ss2=-tanxz*p.z()-p.x()-central;  //distance || x axis to plane
                                                   >> 936                                    // (-ve if point inside)
                                                   >> 937   ds2=tanxz*v.z()+v.x();    // component towards plane at -x
                                                   >> 938 
                                                   >> 939   if (ss1>0&&ss2<0)
                                                   >> 940   {
                                                   >> 941     // Normal case - entirely inside region
                                                   >> 942     if (ds1<=0&&ds2<0)
                                                   >> 943     {   
                                                   >> 944       if (ss2<-kCarTolerance/2)
                                                   >> 945       {
                                                   >> 946         sn=ss2/ds2;  // Leave by -ve side
                                                   >> 947         snside=kMX;
                                                   >> 948       }
                                                   >> 949       else
                                                   >> 950       {
                                                   >> 951         sn=0; // Leave immediately by -ve side
                                                   >> 952         snside=kMX;
                                                   >> 953       }
                                                   >> 954     }
                                                   >> 955     else if (ds1>0&&ds2>=0)
587     {                                             956     {
588       G4double dist = fPlanes[i].b*p.y()+fPlan << 957       if (ss1>kCarTolerance/2)
589       if (dist >= -halfCarTolerance)           << 958       {
                                                   >> 959         sn=ss1/ds1;  // Leave by +ve side
                                                   >> 960         snside=kPX;
                                                   >> 961       }
                                                   >> 962       else
590       {                                           963       {
591         if (calcNorm)                          << 964         sn=0; // Leave immediately by +ve side
                                                   >> 965         snside=kPX;
                                                   >> 966       }
                                                   >> 967     }
                                                   >> 968     else if (ds1>0&&ds2<0)
                                                   >> 969     {
                                                   >> 970       if (ss1>kCarTolerance/2)
                                                   >> 971       {
                                                   >> 972         // sn=ss1/ds1;  // Leave by +ve side
                                                   >> 973         if (ss2<-kCarTolerance/2)
592         {                                         974         {
593           *validNorm = true;                   << 975           sn=ss1/ds1;  // Leave by +ve side
594           n->set(0, fPlanes[i].b, fPlanes[i].c << 976           sn2=ss2/ds2;
                                                   >> 977           if (sn2<sn)
                                                   >> 978           {
                                                   >> 979             sn=sn2;
                                                   >> 980             snside=kMX;
                                                   >> 981           }
                                                   >> 982           else
                                                   >> 983           {
                                                   >> 984             snside=kPX;
                                                   >> 985           }
595         }                                         986         }
596         return 0;                              << 987         else
                                                   >> 988         {
                                                   >> 989           sn=0; // Leave immediately by -ve
                                                   >> 990           snside=kMX;
                                                   >> 991         }      
                                                   >> 992       }
                                                   >> 993       else
                                                   >> 994       {
                                                   >> 995         sn=0; // Leave immediately by +ve side
                                                   >> 996         snside=kPX;
                                                   >> 997       }
                                                   >> 998     }
                                                   >> 999     else
                                                   >> 1000     {
                                                   >> 1001       // Must be || to both
                                                   >> 1002       //
                                                   >> 1003       sn=kInfinity;    // Don't leave by either side
                                                   >> 1004     }
                                                   >> 1005   }
                                                   >> 1006   else if (ss1<=0&&ss2<0)
                                                   >> 1007   {
                                                   >> 1008     // Outside, in +ve Area
                                                   >> 1009     
                                                   >> 1010     if (ds1>0)
                                                   >> 1011     {
                                                   >> 1012       sn=0;       // Away from shape
                                                   >> 1013                   // Left by +ve side
                                                   >> 1014       snside=kPX;
                                                   >> 1015     }
                                                   >> 1016     else
                                                   >> 1017     {
                                                   >> 1018       if (ds2<0)
                                                   >> 1019       {
                                                   >> 1020         // Ignore +ve plane and use -ve plane intersect
                                                   >> 1021         //
                                                   >> 1022         sn=ss2/ds2; // Leave by -ve side
                                                   >> 1023         snside=kMX;
                                                   >> 1024       }
                                                   >> 1025       else
                                                   >> 1026       {
                                                   >> 1027         // Must be || to both -> exit determined by other axes
                                                   >> 1028         //
                                                   >> 1029         sn=kInfinity; // Don't leave by either side
597       }                                           1030       }
598       G4double tmp = -dist/cosa;               << 
599       if (tmax > tmp) { tmax = tmp; iside = i; << 
600     }                                             1031     }
601   }                                               1032   }
                                                   >> 1033   else if (ss1>0&&ss2>=0)
                                                   >> 1034   {
                                                   >> 1035     // Outside, in -ve Area
602                                                   1036 
603   // X intersections                           << 1037     if (ds2<0)
604   //                                           << 1038     {
605   for ( ; i<4; ++i)                            << 1039       sn=0;       // away from shape
                                                   >> 1040                   // Left by -ve side
                                                   >> 1041       snside=kMX;
                                                   >> 1042     }
                                                   >> 1043     else
                                                   >> 1044     {
                                                   >> 1045       if (ds1>0)
                                                   >> 1046       {
                                                   >> 1047         // Ignore +ve plane and use -ve plane intersect
                                                   >> 1048         //
                                                   >> 1049         sn=ss1/ds1; // Leave by +ve side
                                                   >> 1050         snside=kPX;
                                                   >> 1051       }
                                                   >> 1052       else
                                                   >> 1053       {
                                                   >> 1054         // Must be || to both -> exit determined by other axes
                                                   >> 1055         //
                                                   >> 1056         sn=kInfinity; // Don't leave by either side
                                                   >> 1057       }
                                                   >> 1058     }
                                                   >> 1059   }
                                                   >> 1060 
                                                   >> 1061   // Update minimum exit distance
                                                   >> 1062 
                                                   >> 1063   if (sn<snxt)
606   {                                               1064   {
607     G4double cosa = fPlanes[i].a*v.x()+fPlanes << 1065     snxt=sn;
608     if (cosa > 0)                              << 1066     side=snside;
                                                   >> 1067   }
                                                   >> 1068   if (snxt>0)
                                                   >> 1069   {
                                                   >> 1070     // Calculate y intersection
                                                   >> 1071 
                                                   >> 1072     tanyz=(fDy2-fDy1)*0.5/fDz;
                                                   >> 1073     central=0.5*(fDy1+fDy2);
                                                   >> 1074 
                                                   >> 1075     // +ve plane (1)
                                                   >> 1076     //
                                                   >> 1077     ss1=central+tanyz*p.z()-p.y(); // distance || y axis to plane
                                                   >> 1078                                    // (+ve if point inside)
                                                   >> 1079     ds1=v.y()-tanyz*v.z();  // component towards +ve plane
                                                   >> 1080                             // (-ve if +ve -> -ve direction)
                                                   >> 1081     // -ve plane (2)
                                                   >> 1082     //
                                                   >> 1083     ss2=-tanyz*p.z()-p.y()-central; // distance || y axis to plane
                                                   >> 1084                                     // (-ve if point inside)
                                                   >> 1085     ds2=tanyz*v.z()+v.y();  // component towards -ve plane
                                                   >> 1086 
                                                   >> 1087     if (ss1>0&&ss2<0)
                                                   >> 1088     {
                                                   >> 1089       // Normal case - entirely inside region
                                                   >> 1090 
                                                   >> 1091       if (ds1<=0&&ds2<0)
                                                   >> 1092       {   
                                                   >> 1093         if (ss2<-kCarTolerance/2)
                                                   >> 1094         {
                                                   >> 1095           sn=ss2/ds2;  // Leave by -ve side
                                                   >> 1096           snside=kMY;
                                                   >> 1097         }
                                                   >> 1098         else
                                                   >> 1099         {
                                                   >> 1100           sn=0; // Leave immediately by -ve side
                                                   >> 1101           snside=kMY;
                                                   >> 1102         }
                                                   >> 1103       }
                                                   >> 1104       else if (ds1>0&&ds2>=0)
                                                   >> 1105       {
                                                   >> 1106         if (ss1>kCarTolerance/2)
                                                   >> 1107         {
                                                   >> 1108           sn=ss1/ds1;  // Leave by +ve side
                                                   >> 1109           snside=kPY;
                                                   >> 1110         }
                                                   >> 1111         else
                                                   >> 1112         {
                                                   >> 1113           sn=0; // Leave immediately by +ve side
                                                   >> 1114           snside=kPY;
                                                   >> 1115         }
                                                   >> 1116       }
                                                   >> 1117       else if (ds1>0&&ds2<0)
                                                   >> 1118       {
                                                   >> 1119         if (ss1>kCarTolerance/2)
                                                   >> 1120         {
                                                   >> 1121           // sn=ss1/ds1;  // Leave by +ve side
                                                   >> 1122           if (ss2<-kCarTolerance/2)
                                                   >> 1123           {
                                                   >> 1124             sn=ss1/ds1;  // Leave by +ve side
                                                   >> 1125             sn2=ss2/ds2;
                                                   >> 1126             if (sn2<sn)
                                                   >> 1127             {
                                                   >> 1128               sn=sn2;
                                                   >> 1129               snside=kMY;
                                                   >> 1130             }
                                                   >> 1131             else
                                                   >> 1132             {
                                                   >> 1133               snside=kPY;
                                                   >> 1134             }
                                                   >> 1135           }
                                                   >> 1136           else
                                                   >> 1137           {
                                                   >> 1138             sn=0; // Leave immediately by -ve
                                                   >> 1139             snside=kMY;
                                                   >> 1140           }
                                                   >> 1141         }
                                                   >> 1142         else
                                                   >> 1143         {
                                                   >> 1144           sn=0; // Leave immediately by +ve side
                                                   >> 1145           snside=kPY;
                                                   >> 1146         }
                                                   >> 1147       }
                                                   >> 1148       else
                                                   >> 1149       {
                                                   >> 1150         // Must be || to both
                                                   >> 1151         //
                                                   >> 1152         sn=kInfinity;    // Don't leave by either side
                                                   >> 1153       }
                                                   >> 1154     }
                                                   >> 1155     else if (ss1<=0&&ss2<0)
                                                   >> 1156     {
                                                   >> 1157       // Outside, in +ve Area
                                                   >> 1158 
                                                   >> 1159       if (ds1>0)
                                                   >> 1160       {
                                                   >> 1161         sn=0;       // Away from shape
                                                   >> 1162                     // Left by +ve side
                                                   >> 1163         snside=kPY;
                                                   >> 1164       }
                                                   >> 1165       else
                                                   >> 1166       {
                                                   >> 1167         if (ds2<0)
                                                   >> 1168         {
                                                   >> 1169           // Ignore +ve plane and use -ve plane intersect
                                                   >> 1170           //
                                                   >> 1171           sn=ss2/ds2; // Leave by -ve side
                                                   >> 1172           snside=kMY;
                                                   >> 1173         }
                                                   >> 1174         else
                                                   >> 1175         {
                                                   >> 1176           // Must be || to both -> exit determined by other axes
                                                   >> 1177           //
                                                   >> 1178           sn=kInfinity; // Don't leave by either side
                                                   >> 1179         }
                                                   >> 1180       }
                                                   >> 1181     }
                                                   >> 1182     else if (ss1>0&&ss2>=0)
609     {                                             1183     {
610       G4double dist = fPlanes[i].a*p.x()+fPlan << 1184       // Outside, in -ve Area
611       if (dist >= -halfCarTolerance)           << 1185       if (ds2<0)
612       {                                           1186       {
613         if (calcNorm)                          << 1187         sn=0;       // away from shape
                                                   >> 1188                     // Left by -ve side
                                                   >> 1189         snside=kMY;
                                                   >> 1190       }
                                                   >> 1191       else
                                                   >> 1192       {
                                                   >> 1193         if (ds1>0)
                                                   >> 1194         {
                                                   >> 1195           // Ignore +ve plane and use -ve plane intersect
                                                   >> 1196           //
                                                   >> 1197           sn=ss1/ds1; // Leave by +ve side
                                                   >> 1198           snside=kPY;
                                                   >> 1199         }
                                                   >> 1200         else
614         {                                         1201         {
615            *validNorm = true;                  << 1202           // Must be || to both -> exit determined by other axes
616            n->set(fPlanes[i].a, fPlanes[i].b,  << 1203           //
                                                   >> 1204           sn=kInfinity; // Don't leave by either side
617         }                                         1205         }
618         return 0;                              << 
619       }                                           1206       }
620       G4double tmp = -dist/cosa;               << 1207     }
621       if (tmax > tmp) { tmax = tmp; iside = i; << 1208 
                                                   >> 1209     // Update minimum exit distance
                                                   >> 1210 
                                                   >> 1211     if (sn<snxt)
                                                   >> 1212     {
                                                   >> 1213       snxt=sn;
                                                   >> 1214       side=snside;
622     }                                             1215     }
623   }                                               1216   }
624                                                   1217 
625   // Set normal, if required, and return dista << 
626   //                                           << 
627   if (calcNorm)                                   1218   if (calcNorm)
628   {                                               1219   {
629     *validNorm = true;                         << 1220     switch (side)
630     if (iside < 0)                             << 1221     {
631       n->set(0, 0, iside + 3); // (-4+3)=-1, ( << 1222       case kPX:
632     else                                       << 1223         cosxz=1.0/std::sqrt(1.0+tanxz*tanxz);
633       n->set(fPlanes[iside].a, fPlanes[iside]. << 1224         *n=G4ThreeVector(cosxz,0,-tanxz*cosxz);
                                                   >> 1225         break;
                                                   >> 1226       case kMX:
                                                   >> 1227         cosxz=-1.0/std::sqrt(1.0+tanxz*tanxz);
                                                   >> 1228         *n=G4ThreeVector(cosxz,0,tanxz*cosxz);
                                                   >> 1229         break;
                                                   >> 1230       case kPY:
                                                   >> 1231         cosyz=1.0/std::sqrt(1.0+tanyz*tanyz);
                                                   >> 1232         *n=G4ThreeVector(0,cosyz,-tanyz*cosyz);
                                                   >> 1233         break;
                                                   >> 1234       case kMY:
                                                   >> 1235         cosyz=-1.0/std::sqrt(1.0+tanyz*tanyz);
                                                   >> 1236         *n=G4ThreeVector(0,cosyz,tanyz*cosyz);
                                                   >> 1237         break;
                                                   >> 1238       case kPZ:
                                                   >> 1239         *n=G4ThreeVector(0,0,1);
                                                   >> 1240         break;
                                                   >> 1241       case kMZ:
                                                   >> 1242         *n=G4ThreeVector(0,0,-1);
                                                   >> 1243         break;
                                                   >> 1244       default:
                                                   >> 1245         DumpInfo();
                                                   >> 1246         G4Exception("G4Trd::DistanceToOut(p,v,..)",
                                                   >> 1247                     "GeomSolids1002", JustWarning, 
                                                   >> 1248                     "Undefined side for valid surface normal to solid.");
                                                   >> 1249         break;
                                                   >> 1250     }
634   }                                               1251   }
635   return tmax;                                 << 1252   return snxt; 
636 }                                                 1253 }
637                                                   1254 
638 ////////////////////////////////////////////// << 1255 ///////////////////////////////////////////////////////////////////////////
639 //                                                1256 //
640 // Calculate exact shortest distance to any bo    1257 // Calculate exact shortest distance to any boundary from inside
641 // - returns 0 if point is outside             << 1258 // - Returns 0 is point outside
642                                                   1259 
643 G4double G4Trd::DistanceToOut( const G4ThreeVe    1260 G4double G4Trd::DistanceToOut( const G4ThreeVector& p ) const
644 {                                                 1261 {
                                                   >> 1262   G4double safe=0.0;
                                                   >> 1263   G4double tanxz,xdist,saf1;
                                                   >> 1264   G4double tanyz,ydist,saf2;
                                                   >> 1265   G4double zbase;
                                                   >> 1266 
645 #ifdef G4CSGDEBUG                                 1267 #ifdef G4CSGDEBUG
646   if( Inside(p) == kOutside )                     1268   if( Inside(p) == kOutside )
647   {                                               1269   {
648     std::ostringstream message;                << 1270      G4int oldprc = G4cout.precision(16) ;
649     G4long oldprc = message.precision(16);     << 1271      G4cout << G4endl ;
650     message << "Point p is outside (!?) of sol << 1272      DumpInfo();
651     message << "Position:\n";                  << 1273      G4cout << "Position:"  << G4endl << G4endl ;
652     message << "   p.x() = " << p.x()/mm << "  << 1274      G4cout << "p.x() = "   << p.x()/mm << " mm" << G4endl ;
653     message << "   p.y() = " << p.y()/mm << "  << 1275      G4cout << "p.y() = "   << p.y()/mm << " mm" << G4endl ;
654     message << "   p.z() = " << p.z()/mm << "  << 1276      G4cout << "p.z() = "   << p.z()/mm << " mm" << G4endl << G4endl ;
655     G4cout.precision(oldprc);                  << 1277      G4cout.precision(oldprc) ;
656     G4Exception("G4Trd::DistanceToOut(p)", "Ge << 1278      G4Exception("G4Trd::DistanceToOut(p)", "GeomSolids1002", JustWarning, 
657                 JustWarning, message );        << 1279                  "Point p is outside !?" );
658     DumpInfo();                                << 
659   }                                               1280   }
660 #endif                                            1281 #endif
661   G4double dx = fPlanes[3].a*std::abs(p.x())+f << 
662   G4double dy = fPlanes[1].b*std::abs(p.y())+f << 
663   G4double dxy = std::max(dx,dy);              << 
664                                                   1282 
665   G4double dz = std::abs(p.z())-fDz;           << 1283   safe=fDz-std::fabs(p.z());  // z perpendicular Dist
666   G4double dist = std::max(dz,dxy);            << 1284 
                                                   >> 1285   zbase=fDz+p.z();
                                                   >> 1286 
                                                   >> 1287   // xdist = distance perpendicular to z axis to closest x plane from p
                                                   >> 1288   //       = (x half width of shape at p.z) - std::fabs(p.x)
                                                   >> 1289   //
                                                   >> 1290   tanxz=(fDx2-fDx1)*0.5/fDz;
                                                   >> 1291   xdist=fDx1+tanxz*zbase-std::fabs(p.x());
                                                   >> 1292   saf1=xdist/std::sqrt(1.0+tanxz*tanxz); // x*std::cos(ang_xz) =
                                                   >> 1293                                     // shortest (perpendicular)
                                                   >> 1294                                     // distance to plane
                                                   >> 1295   tanyz=(fDy2-fDy1)*0.5/fDz;
                                                   >> 1296   ydist=fDy1+tanyz*zbase-std::fabs(p.y());
                                                   >> 1297   saf2=ydist/std::sqrt(1.0+tanyz*tanyz);
667                                                   1298 
668   return (dist < 0) ? -dist : 0.;              << 1299   // Return minimum x/y/z distance
                                                   >> 1300   //
                                                   >> 1301   if (safe>saf1) safe=saf1;
                                                   >> 1302   if (safe>saf2) safe=saf2;
                                                   >> 1303 
                                                   >> 1304   if (safe<0) safe=0;
                                                   >> 1305   return safe;     
669 }                                                 1306 }
670                                                   1307 
671 ////////////////////////////////////////////// << 1308 ////////////////////////////////////////////////////////////////////////////
672 //                                                1309 //
673 // GetEntityType                               << 1310 // Create a List containing the transformed vertices
674                                                << 1311 // Ordering [0-3] -fDz cross section
675 G4GeometryType G4Trd::GetEntityType() const    << 1312 //          [4-7] +fDz cross section such that [0] is below [4],
676 {                                              << 1313 //                                             [1] below [5] etc.
677   return {"G4Trd"};                            << 1314 // Note:
                                                   >> 1315 //  Caller has deletion resposibility
                                                   >> 1316 
                                                   >> 1317 G4ThreeVectorList*
                                                   >> 1318 G4Trd::CreateRotatedVertices( const G4AffineTransform& pTransform ) const
                                                   >> 1319 {
                                                   >> 1320   G4ThreeVectorList *vertices;
                                                   >> 1321   vertices=new G4ThreeVectorList();
                                                   >> 1322   if (vertices)
                                                   >> 1323   {
                                                   >> 1324     vertices->reserve(8);
                                                   >> 1325     G4ThreeVector vertex0(-fDx1,-fDy1,-fDz);
                                                   >> 1326     G4ThreeVector vertex1(fDx1,-fDy1,-fDz);
                                                   >> 1327     G4ThreeVector vertex2(fDx1,fDy1,-fDz);
                                                   >> 1328     G4ThreeVector vertex3(-fDx1,fDy1,-fDz);
                                                   >> 1329     G4ThreeVector vertex4(-fDx2,-fDy2,fDz);
                                                   >> 1330     G4ThreeVector vertex5(fDx2,-fDy2,fDz);
                                                   >> 1331     G4ThreeVector vertex6(fDx2,fDy2,fDz);
                                                   >> 1332     G4ThreeVector vertex7(-fDx2,fDy2,fDz);
                                                   >> 1333 
                                                   >> 1334     vertices->push_back(pTransform.TransformPoint(vertex0));
                                                   >> 1335     vertices->push_back(pTransform.TransformPoint(vertex1));
                                                   >> 1336     vertices->push_back(pTransform.TransformPoint(vertex2));
                                                   >> 1337     vertices->push_back(pTransform.TransformPoint(vertex3));
                                                   >> 1338     vertices->push_back(pTransform.TransformPoint(vertex4));
                                                   >> 1339     vertices->push_back(pTransform.TransformPoint(vertex5));
                                                   >> 1340     vertices->push_back(pTransform.TransformPoint(vertex6));
                                                   >> 1341     vertices->push_back(pTransform.TransformPoint(vertex7));
                                                   >> 1342   }
                                                   >> 1343   else
                                                   >> 1344   {
                                                   >> 1345     DumpInfo();
                                                   >> 1346     G4Exception("G4Trd::CreateRotatedVertices()",
                                                   >> 1347                 "GeomSolids0003", FatalException,
                                                   >> 1348                 "Error in allocation of vertices. Out of memory !");
                                                   >> 1349   }
                                                   >> 1350   return vertices;
678 }                                                 1351 }
679                                                   1352 
680 //////////////////////////////////////////////    1353 //////////////////////////////////////////////////////////////////////////
681 //                                                1354 //
682 // IsFaceted                                   << 1355 // GetEntityType
683                                                   1356 
684 G4bool G4Trd::IsFaceted() const                << 1357 G4GeometryType G4Trd::GetEntityType() const
685 {                                                 1358 {
686   return true;                                 << 1359   return G4String("G4Trd");
687 }                                                 1360 }
688                                                   1361 
689 //////////////////////////////////////////////    1362 //////////////////////////////////////////////////////////////////////////
690 //                                                1363 //
691 // Make a clone of the object                     1364 // Make a clone of the object
692 //                                                1365 //
693 G4VSolid* G4Trd::Clone() const                    1366 G4VSolid* G4Trd::Clone() const
694 {                                                 1367 {
695   return new G4Trd(*this);                        1368   return new G4Trd(*this);
696 }                                                 1369 }
697                                                   1370 
698 //////////////////////////////////////////////    1371 //////////////////////////////////////////////////////////////////////////
699 //                                                1372 //
700 // Stream object contents to an output stream     1373 // Stream object contents to an output stream
701                                                   1374 
702 std::ostream& G4Trd::StreamInfo( std::ostream&    1375 std::ostream& G4Trd::StreamInfo( std::ostream& os ) const
703 {                                                 1376 {
704   G4long oldprc = os.precision(16);            << 1377   G4int oldprc = os.precision(16);
705   os << "-------------------------------------    1378   os << "-----------------------------------------------------------\n"
706      << "    *** Dump for solid - " << GetName    1379      << "    *** Dump for solid - " << GetName() << " ***\n"
707      << "    =================================    1380      << "    ===================================================\n"
708      << " Solid type: G4Trd\n"                    1381      << " Solid type: G4Trd\n"
709      << " Parameters: \n"                         1382      << " Parameters: \n"
710      << "    half length X, surface -dZ: " <<     1383      << "    half length X, surface -dZ: " << fDx1/mm << " mm \n"
711      << "    half length X, surface +dZ: " <<     1384      << "    half length X, surface +dZ: " << fDx2/mm << " mm \n"
712      << "    half length Y, surface -dZ: " <<     1385      << "    half length Y, surface -dZ: " << fDy1/mm << " mm \n"
713      << "    half length Y, surface +dZ: " <<     1386      << "    half length Y, surface +dZ: " << fDy2/mm << " mm \n"
714      << "    half length Z             : " <<  << 1387      << "    half length Z             : " << fDz/mm << " mm \n"
715      << "-------------------------------------    1388      << "-----------------------------------------------------------\n";
716   os.precision(oldprc);                           1389   os.precision(oldprc);
717                                                   1390 
718   return os;                                      1391   return os;
719 }                                                 1392 }
720                                                   1393 
721 ////////////////////////////////////////////// << 1394 
                                                   >> 1395 ////////////////////////////////////////////////////////////////////////
722 //                                                1396 //
723 // Return a point randomly and uniformly selec << 1397 // GetPointOnSurface
                                                   >> 1398 //
                                                   >> 1399 // Return a point (G4ThreeVector) randomly and uniformly
                                                   >> 1400 // selected on the solid surface
724                                                   1401 
725 G4ThreeVector G4Trd::GetPointOnSurface() const    1402 G4ThreeVector G4Trd::GetPointOnSurface() const
726 {                                                 1403 {
727   // Set areas                                 << 1404   G4double px, py, pz, tgX, tgY, secX, secY, select, sumS, tmp;
728   //                                           << 1405   G4double Sxy1, Sxy2, Sxy, Sxz, Syz;
729   G4double sxz = (fDx1 + fDx2)*fHx;            << 
730   G4double syz = (fDy1 + fDy2)*fHy;            << 
731   G4double ssurf[6] = { 4.*fDx1*fDy1, sxz, sxz << 
732   ssurf[1] += ssurf[0];                        << 
733   ssurf[2] += ssurf[1];                        << 
734   ssurf[3] += ssurf[2];                        << 
735   ssurf[4] += ssurf[3];                        << 
736   ssurf[5] += ssurf[4];                        << 
737                                                << 
738   // Select face                               << 
739   //                                           << 
740   G4double select = ssurf[5]*G4QuickRand();    << 
741   G4int k = 5;                                 << 
742   k -= (G4int)(select <= ssurf[4]);            << 
743   k -= (G4int)(select <= ssurf[3]);            << 
744   k -= (G4int)(select <= ssurf[2]);            << 
745   k -= (G4int)(select <= ssurf[1]);            << 
746   k -= (G4int)(select <= ssurf[0]);            << 
747                                                   1406 
748   // Generate point on selected surface        << 1407   tgX  = 0.5*(fDx2-fDx1)/fDz;
749   //                                           << 1408   secX = std::sqrt(1+tgX*tgX);
750   G4double u = G4QuickRand();                  << 1409   tgY  = 0.5*(fDy2-fDy1)/fDz;
751   G4double v = G4QuickRand();                  << 1410   secY = std::sqrt(1+tgY*tgY);
752   switch(k)                                    << 1411 
                                                   >> 1412   // calculate 0.25 of side surfaces, sumS is 0.25 of total surface
                                                   >> 1413 
                                                   >> 1414   Sxy1 = fDx1*fDy1; 
                                                   >> 1415   Sxy2 = fDx2*fDy2;
                                                   >> 1416   Sxy  = Sxy1 + Sxy2; 
                                                   >> 1417   Sxz  = (fDx1 + fDx2)*fDz*secY; 
                                                   >> 1418   Syz  = (fDy1 + fDy2)*fDz*secX;
                                                   >> 1419   sumS = Sxy + Sxz + Syz;
                                                   >> 1420 
                                                   >> 1421   select = sumS*G4UniformRand();
                                                   >> 1422  
                                                   >> 1423   if( select < Sxy )                  // Sxy1 or Sxy2
753   {                                               1424   {
754     case 0: // base at -Z                      << 1425     if( select < Sxy1 ) 
755     {                                          << 
756       return { (2.*u - 1.)*fDx1, (2.*v - 1.)*f << 
757     }                                          << 
758     case 1: // X face at -Y                    << 
759     {                                          << 
760       if (u + v > 1.) { u = 1. - u; v = 1. - v << 
761       G4ThreeVector p0(-fDx1,-fDy1,-fDz);      << 
762       G4ThreeVector p1( fDx2,-fDy2, fDz);      << 
763       return (select <= ssurf[0] + fDx1*fHx) ? << 
764         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
765         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
766     }                                          << 
767     case 2: // X face at +Y                    << 
768     {                                          << 
769       if (u + v > 1.) { u = 1. - u; v = 1. - v << 
770       G4ThreeVector p0( fDx1, fDy1,-fDz);      << 
771       G4ThreeVector p1(-fDx2, fDy2, fDz);      << 
772       return (select <= ssurf[1] + fDx1*fHx) ? << 
773         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
774         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
775     }                                          << 
776     case 3: // Y face at -X                    << 
777     {                                          << 
778       if (u + v > 1.) { u = 1. - u; v = 1. - v << 
779       G4ThreeVector p0(-fDx1, fDy1,-fDz);      << 
780       G4ThreeVector p1(-fDx2,-fDy2, fDz);      << 
781       return (select <= ssurf[2] + fDy1*fHy) ? << 
782         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
783         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
784     }                                          << 
785     case 4: // Y face at +X                    << 
786     {                                             1426     {
787       if (u + v > 1.) { u = 1. - u; v = 1. - v << 1427       pz = -fDz;
788       G4ThreeVector p0( fDx1,-fDy1,-fDz);      << 1428       px = -fDx1 + 2*fDx1*G4UniformRand();
789       G4ThreeVector p1( fDx2, fDy2, fDz);      << 1429       py = -fDy1 + 2*fDy1*G4UniformRand();
790       return (select <= ssurf[3] + fDy1*fHy) ? << 
791         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
792         (1. - u - v)*p0 + u*p1 + v*G4ThreeVect << 
793     }                                             1430     }
794     case 5: // base at +Z                      << 1431     else      
795     {                                             1432     {
796       return { (2.*u - 1.)*fDx2, (2.*v - 1.)*f << 1433       pz =  fDz;
                                                   >> 1434       px = -fDx2 + 2*fDx2*G4UniformRand();
                                                   >> 1435       py = -fDy2 + 2*fDy2*G4UniformRand();
797     }                                             1436     }
798   }                                               1437   }
799   return {0., 0., 0.};                         << 1438   else if ( ( select - Sxy ) < Sxz )    // Sxz
                                                   >> 1439   {
                                                   >> 1440     pz  = -fDz  + 2*fDz*G4UniformRand();
                                                   >> 1441     tmp =  fDx1 + (pz + fDz)*tgX;
                                                   >> 1442     px  = -tmp  + 2*tmp*G4UniformRand();
                                                   >> 1443     tmp =  fDy1 + (pz + fDz)*tgY;
                                                   >> 1444 
                                                   >> 1445     if(G4UniformRand() > 0.5) { py =  tmp; }
                                                   >> 1446     else                      { py = -tmp; }
                                                   >> 1447   }
                                                   >> 1448   else                                   // Syz
                                                   >> 1449   {
                                                   >> 1450     pz  = -fDz  + 2*fDz*G4UniformRand();
                                                   >> 1451     tmp =  fDy1 + (pz + fDz)*tgY;
                                                   >> 1452     py  = -tmp  + 2*tmp*G4UniformRand();
                                                   >> 1453     tmp =  fDx1 + (pz + fDz)*tgX;
                                                   >> 1454 
                                                   >> 1455     if(G4UniformRand() > 0.5) { px =  tmp; }
                                                   >> 1456     else                      { px = -tmp; }
                                                   >> 1457   } 
                                                   >> 1458   return G4ThreeVector(px,py,pz);
800 }                                                 1459 }
801                                                   1460 
802 ////////////////////////////////////////////// << 1461 ///////////////////////////////////////////////////////////////////////
803 //                                                1462 //
804 // Methods for visualisation                      1463 // Methods for visualisation
805                                                   1464 
806 void G4Trd::DescribeYourselfTo ( G4VGraphicsSc    1465 void G4Trd::DescribeYourselfTo ( G4VGraphicsScene& scene ) const
807 {                                                 1466 {
808   scene.AddSolid (*this);                         1467   scene.AddSolid (*this);
809 }                                                 1468 }
810                                                   1469 
811 G4Polyhedron* G4Trd::CreatePolyhedron () const    1470 G4Polyhedron* G4Trd::CreatePolyhedron () const
812 {                                                 1471 {
813   return new G4PolyhedronTrd2 (fDx1, fDx2, fDy    1472   return new G4PolyhedronTrd2 (fDx1, fDx2, fDy1, fDy2, fDz);
814 }                                                 1473 }
815                                                   1474 
816 #endif                                            1475 #endif
817                                                   1476