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Geant4/geometry/solids/specific/src/G4TwistTrapParallelSide.cc

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Differences between /geometry/solids/specific/src/G4TwistTrapParallelSide.cc (Version 11.3.0) and /geometry/solids/specific/src/G4TwistTrapParallelSide.cc (Version 10.0.p2)


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 25 //                                                 25 //
 26 // G4TwistTrapParallelSide implementation      << 
 27 //                                                 26 //
 28 // Author: Oliver Link (Oliver.Link@cern.ch)   <<  27 // $Id: G4TwistTrapParallelSide.cc,v 
                                                   >>  28 //
                                                   >>  29 // 
                                                   >>  30 // --------------------------------------------------------------------
                                                   >>  31 // GEANT 4 class source file
                                                   >>  32 //
                                                   >>  33 //
                                                   >>  34 // G4TwistTrapParallelSide.cc
                                                   >>  35 //
                                                   >>  36 // Author:
                                                   >>  37 //
                                                   >>  38 //   Oliver Link (Oliver.Link@cern.ch)
                                                   >>  39 //
 29 // -------------------------------------------     40 // --------------------------------------------------------------------
 30                                                    41 
 31 #include <cmath>                                   42 #include <cmath>
 32                                                    43 
 33 #include "G4TwistTrapParallelSide.hh"              44 #include "G4TwistTrapParallelSide.hh"
 34 #include "G4PhysicalConstants.hh"                  45 #include "G4PhysicalConstants.hh"
 35 #include "G4JTPolynomialSolver.hh"                 46 #include "G4JTPolynomialSolver.hh"
 36                                                    47 
 37 //============================================     48 //=====================================================================
 38 //* constructors -----------------------------     49 //* constructors ------------------------------------------------------
 39                                                    50 
 40 G4TwistTrapParallelSide::G4TwistTrapParallelSi <<  51 G4TwistTrapParallelSide::G4TwistTrapParallelSide(const G4String     &name,
 41                            G4double PhiTwist,  <<  52                            G4double      PhiTwist,    // twist angle
 42                            G4double pDz,       <<  53                            G4double      pDz,         // half z lenght
 43                            G4double pTheta,    <<  54                            G4double      pTheta,      // direction between end planes
 44                            G4double pPhi,      <<  55                            G4double      pPhi,        // defined by polar and azimutal angles.
 45                            G4double pDy1,      <<  56                            G4double      pDy1,        // half y length at -pDz
 46                            G4double pDx1,      <<  57                            G4double      pDx1,        // half x length at -pDz,-pDy
 47                            G4double pDx2,      <<  58                            G4double      pDx2,        // half x length at -pDz,+pDy
 48                            G4double pDy2,      <<  59                            G4double      pDy2,        // half y length at +pDz
 49                            G4double pDx3,      <<  60                            G4double      pDx3,        // half x length at +pDz,-pDy
 50                            G4double pDx4,      <<  61                            G4double      pDx4,        // half x length at +pDz,+pDy
 51                            G4double pAlph,     <<  62                            G4double      pAlph,      // tilt angle at +pDz
 52                            G4double AngleSide  <<  63                            G4double      AngleSide    // parity
 53                                                    64                                                )
 54   : G4VTwistSurface(name)                          65   : G4VTwistSurface(name)
 55 {                                                  66 {  
 56                                                    67   
 57   fAxis[0]    = kXAxis; // in local coordinate     68   fAxis[0]    = kXAxis; // in local coordinate system
 58   fAxis[1]    = kZAxis;                            69   fAxis[1]    = kZAxis;
 59   fAxisMin[0] = -kInfinity ;  // X Axis bounda     70   fAxisMin[0] = -kInfinity ;  // X Axis boundary
 60   fAxisMax[0] = kInfinity ;   //   depends on      71   fAxisMax[0] = kInfinity ;   //   depends on z !!
 61   fAxisMin[1] = -pDz ;        // Z Axis bounda <<  72   fAxisMin[1] = -pDz ;      // Z Axis boundary
 62   fAxisMax[1] = pDz ;                              73   fAxisMax[1] = pDz ;
 63                                                    74   
 64   fDx1  = pDx1 ;                                   75   fDx1  = pDx1 ;
 65   fDx2  = pDx2 ;                                   76   fDx2  = pDx2 ;
 66   fDx3  = pDx3 ;                                   77   fDx3  = pDx3 ;
 67   fDx4  = pDx4 ;                                   78   fDx4  = pDx4 ;
 68                                                    79 
 69   fDy1   = pDy1 ;                                  80   fDy1   = pDy1 ;
 70   fDy2   = pDy2 ;                                  81   fDy2   = pDy2 ;
 71                                                    82 
 72   fDz   = pDz ;                                    83   fDz   = pDz ;
 73                                                    84 
 74   fAlph = pAlph  ;                                 85   fAlph = pAlph  ;
 75   fTAlph = std::tan(fAlph) ;                       86   fTAlph = std::tan(fAlph) ;
 76                                                    87 
 77   fTheta = pTheta ;                                88   fTheta = pTheta ;
 78   fPhi   = pPhi ;                                  89   fPhi   = pPhi ;
 79                                                    90 
 80   // precalculate frequently used parameters   <<  91  // precalculate frequently used parameters
 81   //                                           << 
 82   fDx4plus2  = fDx4 + fDx2 ;                       92   fDx4plus2  = fDx4 + fDx2 ;
 83   fDx4minus2 = fDx4 - fDx2 ;                       93   fDx4minus2 = fDx4 - fDx2 ;
 84   fDx3plus1  = fDx3 + fDx1 ;                       94   fDx3plus1  = fDx3 + fDx1 ; 
 85   fDx3minus1 = fDx3 - fDx1 ;                       95   fDx3minus1 = fDx3 - fDx1 ;
 86   fDy2plus1  = fDy2 + fDy1 ;                       96   fDy2plus1  = fDy2 + fDy1 ;
 87   fDy2minus1 = fDy2 - fDy1 ;                       97   fDy2minus1 = fDy2 - fDy1 ;
 88                                                    98 
 89   fa1md1 = 2*fDx2 - 2*fDx1  ;                      99   fa1md1 = 2*fDx2 - 2*fDx1  ; 
 90   fa2md2 = 2*fDx4 - 2*fDx3 ;                      100   fa2md2 = 2*fDx4 - 2*fDx3 ;
 91                                                   101 
 92   fPhiTwist = PhiTwist ;    // dphi            << 102   fPhiTwist = PhiTwist ;     // dphi
 93   fAngleSide = AngleSide ;  // 0,90,180,270 de    103   fAngleSide = AngleSide ;  // 0,90,180,270 deg
 94                                                   104 
 95   fdeltaX = 2*fDz*std::tan(fTheta)*std::cos(fP << 105   fdeltaX = 2 * fDz * std::tan(fTheta) * std::cos(fPhi)  ;  // dx in surface equation
 96   fdeltaY = 2*fDz*std::tan(fTheta)*std::sin(fP << 106   fdeltaY = 2 * fDz * std::tan(fTheta) * std::sin(fPhi)  ;  // dy in surface equation
 97                                                   107   
 98   fRot.rotateZ( AngleSide ) ;                     108   fRot.rotateZ( AngleSide ) ; 
 99                                                   109   
100   fTrans.set(0, 0, 0);  // No Translation         110   fTrans.set(0, 0, 0);  // No Translation
101   fIsValidNorm = false;                           111   fIsValidNorm = false;
102                                                   112   
103   SetCorners() ;                                  113   SetCorners() ;
104   SetBoundaries() ;                               114   SetBoundaries() ;
                                                   >> 115 
105 }                                                 116 }
106                                                   117 
                                                   >> 118 
107 //============================================    119 //=====================================================================
108 //* Fake default constructor -----------------    120 //* Fake default constructor ------------------------------------------
109                                                   121 
110 G4TwistTrapParallelSide::G4TwistTrapParallelSi    122 G4TwistTrapParallelSide::G4TwistTrapParallelSide( __void__& a )
111   : G4VTwistSurface(a)                         << 123   : G4VTwistSurface(a), fTheta(0.), fPhi(0.), fDy1(0.), fDx1(0.), fDx2(0.), 
                                                   >> 124     fDy2(0.), fDx3(0.), fDx4(0.), fDz(0.), fAlph(0.), fTAlph(0.), fPhiTwist(0.), 
                                                   >> 125     fAngleSide(0.), fdeltaX(0.), fdeltaY(0.), fDx4plus2(0.), fDx4minus2(0.), 
                                                   >> 126     fDx3plus1(0.), fDx3minus1(0.), fDy2plus1(0.), fDy2minus1(0.), fa1md1(0.), 
                                                   >> 127     fa2md2(0.)
112 {                                                 128 {
113 }                                                 129 }
114                                                   130 
                                                   >> 131 
115 //============================================    132 //=====================================================================
116 //* destructor -------------------------------    133 //* destructor --------------------------------------------------------
117                                                   134 
118 G4TwistTrapParallelSide::~G4TwistTrapParallelS << 135 G4TwistTrapParallelSide::~G4TwistTrapParallelSide()
                                                   >> 136 {
                                                   >> 137 }
119                                                   138 
120 //============================================    139 //=====================================================================
121 //* GetNormal --------------------------------    140 //* GetNormal ---------------------------------------------------------
122                                                   141 
123 G4ThreeVector G4TwistTrapParallelSide::GetNorm << 142 G4ThreeVector G4TwistTrapParallelSide::GetNormal(const G4ThreeVector &tmpxx, 
124                                                << 143                                                 G4bool isGlobal) 
125 {                                                 144 {
126    // GetNormal returns a normal vector at a s    145    // GetNormal returns a normal vector at a surface (or very close
127    // to surface) point at tmpxx.                 146    // to surface) point at tmpxx.
128    // If isGlobal=true, it returns the normal     147    // If isGlobal=true, it returns the normal in global coordinate.
129    //                                             148    //
130                                                   149 
131    G4ThreeVector xx;                              150    G4ThreeVector xx;
132    if (isGlobal)                               << 151    if (isGlobal) {
133    {                                           << 
134       xx = ComputeLocalPoint(tmpxx);              152       xx = ComputeLocalPoint(tmpxx);
135       if ((xx - fCurrentNormal.p).mag() < 0.5  << 153       if ((xx - fCurrentNormal.p).mag() < 0.5 * kCarTolerance) {
136       {                                        << 
137          return ComputeGlobalDirection(fCurren    154          return ComputeGlobalDirection(fCurrentNormal.normal);
138       }                                           155       }
139    }                                           << 156    } else {
140    else                                        << 
141    {                                           << 
142       xx = tmpxx;                                 157       xx = tmpxx;
143       if (xx == fCurrentNormal.p)              << 158       if (xx == fCurrentNormal.p) {
144       {                                        << 
145          return fCurrentNormal.normal;            159          return fCurrentNormal.normal;
146       }                                           160       }
147    }                                              161    }
148                                                   162 
149    G4double phi ;                                 163    G4double phi ;
150    G4double u ;                                   164    G4double u ;
151                                                   165 
152    GetPhiUAtX(xx,phi,u) ;   // phi,u for point    166    GetPhiUAtX(xx,phi,u) ;   // phi,u for point xx close to surface 
153                                                   167 
154    G4ThreeVector normal =  NormAng(phi,u) ;  /    168    G4ThreeVector normal =  NormAng(phi,u) ;  // the normal vector at phi,u
155                                                   169 
156 #ifdef G4TWISTDEBUG                               170 #ifdef G4TWISTDEBUG
157    G4cout  << "normal vector = " << normal <<     171    G4cout  << "normal vector = " << normal << G4endl ;
158    G4cout << "phi = " << phi << " , u = " << u    172    G4cout << "phi = " << phi << " , u = " << u << G4endl ;
159 #endif                                            173 #endif
160                                                   174 
161    //    normal = normal/normal.mag() ;           175    //    normal = normal/normal.mag() ;
162                                                   176 
163    if (isGlobal)                               << 177    if (isGlobal) {
164    {                                           << 
165       fCurrentNormal.normal = ComputeGlobalDir    178       fCurrentNormal.normal = ComputeGlobalDirection(normal.unit());
166    }                                           << 179    } else {
167    else                                        << 
168    {                                           << 
169       fCurrentNormal.normal = normal.unit();      180       fCurrentNormal.normal = normal.unit();
170    }                                              181    }
171    return fCurrentNormal.normal;                  182    return fCurrentNormal.normal;
172 }                                                 183 }
173                                                   184 
174 //============================================    185 //=====================================================================
175 //* DistanceToSurface ------------------------    186 //* DistanceToSurface -------------------------------------------------
176                                                   187 
177 G4int G4TwistTrapParallelSide::DistanceToSurfa << 188 G4int G4TwistTrapParallelSide::DistanceToSurface(const G4ThreeVector &gp,
178                                                << 189                                           const G4ThreeVector &gv,
179                                                << 190                                                 G4ThreeVector  gxx[],
180                                                << 191                                                 G4double       distance[],
181                                                << 192                                                 G4int          areacode[],
182                                                << 193                                                 G4bool         isvalid[],
183                                                << 194                                                 EValidate      validate)
184 {                                                 195 {
                                                   >> 196 
185   static const G4double pihalf = pi/2 ;           197   static const G4double pihalf = pi/2 ;
186   const G4double ctol = 0.5 * kCarTolerance;      198   const G4double ctol = 0.5 * kCarTolerance;
187                                                   199 
188   G4bool IsParallel = false ;                     200   G4bool IsParallel = false ;
189   G4bool IsConverged =  false ;                   201   G4bool IsConverged =  false ;
190                                                   202 
191   G4int nxx = 0 ;  // number of physical solut    203   G4int nxx = 0 ;  // number of physical solutions
192                                                   204 
193   fCurStatWithV.ResetfDone(validate, &gp, &gv)    205   fCurStatWithV.ResetfDone(validate, &gp, &gv);
194                                                   206 
195   if (fCurStatWithV.IsDone())                  << 207   if (fCurStatWithV.IsDone()) {
196   {                                            << 208     G4int i;
197     for (G4int i=0; i<fCurStatWithV.GetNXX();  << 209     for (i=0; i<fCurStatWithV.GetNXX(); i++) {
198     {                                          << 
199       gxx[i] = fCurStatWithV.GetXX(i);            210       gxx[i] = fCurStatWithV.GetXX(i);
200       distance[i] = fCurStatWithV.GetDistance(    211       distance[i] = fCurStatWithV.GetDistance(i);
201       areacode[i] = fCurStatWithV.GetAreacode(    212       areacode[i] = fCurStatWithV.GetAreacode(i);
202       isvalid[i]  = fCurStatWithV.IsValid(i);     213       isvalid[i]  = fCurStatWithV.IsValid(i);
203     }                                             214     }
204     return fCurStatWithV.GetNXX();                215     return fCurStatWithV.GetNXX();
205   }                                            << 216   } else {
206   else   // initialize                         << 217    
207   {                                            << 218    // initialize
208     for (G4int i=0; i<G4VSURFACENXX ; ++i)     << 219     G4int i;
209     {                                          << 220     for (i=0; i<G4VSURFACENXX ; i++) {
210       distance[i] = kInfinity;                    221       distance[i] = kInfinity;
211       areacode[i] = sOutside;                     222       areacode[i] = sOutside;
212       isvalid[i]  = false;                        223       isvalid[i]  = false;
213       gxx[i].set(kInfinity, kInfinity, kInfini    224       gxx[i].set(kInfinity, kInfinity, kInfinity);
214     }                                             225     }
215   }                                               226   }
216                                                   227 
217   G4ThreeVector p = ComputeLocalPoint(gp);        228   G4ThreeVector p = ComputeLocalPoint(gp);
218   G4ThreeVector v = ComputeLocalDirection(gv);    229   G4ThreeVector v = ComputeLocalDirection(gv);
219                                                   230   
220 #ifdef G4TWISTDEBUG                               231 #ifdef G4TWISTDEBUG
221   G4cout << "Local point p = " << p << G4endl     232   G4cout << "Local point p = " << p << G4endl ;
222   G4cout << "Local direction v = " << v << G4e    233   G4cout << "Local direction v = " << v << G4endl ; 
223 #endif                                            234 #endif
224                                                   235 
225   G4double phi,u ;  // parameters                 236   G4double phi,u ;  // parameters
226                                                   237 
227   // temporary variables                          238   // temporary variables
228                                                   239 
229   G4double      tmpdist = kInfinity ;             240   G4double      tmpdist = kInfinity ;
230   G4ThreeVector tmpxx;                            241   G4ThreeVector tmpxx;
231   G4int         tmpareacode = sOutside ;          242   G4int         tmpareacode = sOutside ;
232   G4bool        tmpisvalid  = false ;             243   G4bool        tmpisvalid  = false ;
233                                                   244 
234   std::vector<Intersection> xbuf ;                245   std::vector<Intersection> xbuf ;
235   Intersection xbuftmp ;                          246   Intersection xbuftmp ;
236                                                   247   
237   // prepare some variables for the intersecti    248   // prepare some variables for the intersection finder
238                                                   249 
239   G4double L = 2*fDz ;                            250   G4double L = 2*fDz ;
240                                                   251 
241   G4double phixz = fPhiTwist * ( p.x() * v.z()    252   G4double phixz = fPhiTwist * ( p.x() * v.z() - p.z() * v.x() ) ;
242   G4double phiyz = fPhiTwist * ( p.y() * v.z()    253   G4double phiyz = fPhiTwist * ( p.y() * v.z() - p.z() * v.y() ) ;
243                                                   254 
244   // special case vz = 0                          255   // special case vz = 0
245                                                   256 
246   if ( v.z() == 0. )                           << 257   if ( v.z() == 0. ) {         
247   {                                            << 258 
248     if ( std::fabs(p.z()) <= L )       // inte << 259     if ( std::fabs(p.z()) <= L ) {     // intersection possible in z
249     {                                          << 260       
250       phi = p.z() * fPhiTwist / L ;  // phi is    261       phi = p.z() * fPhiTwist / L ;  // phi is determined by the z-position 
251                                                   262 
252       u = (2*(fdeltaY*phi*v.x() - fPhiTwist*p.    263       u = (2*(fdeltaY*phi*v.x() - fPhiTwist*p.y()*v.x() - fdeltaX*phi*v.y()
253               + fPhiTwist*p.x()*v.y()) + (fDy2    264               + fPhiTwist*p.x()*v.y()) + (fDy2plus1*fPhiTwist
254               + 2*fDy2minus1*phi)*(v.x()*std::    265               + 2*fDy2minus1*phi)*(v.x()*std::cos(phi) + v.y()*std::sin(phi)))
255         / (2.* fPhiTwist*(v.y()*std::cos(phi)     266         / (2.* fPhiTwist*(v.y()*std::cos(phi) - v.x()*std::sin(phi)));
256                                                   267 
257       xbuftmp.phi = phi ;                         268       xbuftmp.phi = phi ;
258       xbuftmp.u = u ;                             269       xbuftmp.u = u ;
259       xbuftmp.areacode = sOutside ;               270       xbuftmp.areacode = sOutside ;
260       xbuftmp.distance = kInfinity ;              271       xbuftmp.distance = kInfinity ;
261       xbuftmp.isvalid = false ;                   272       xbuftmp.isvalid = false ;
262                                                   273 
263       xbuf.push_back(xbuftmp) ; // store it to << 274       xbuf.push_back(xbuftmp) ;  // store it to xbuf
                                                   >> 275 
264     }                                             276     }
265     else                              // no in << 277 
266     {                                          << 278     else {                        // no intersection possible
                                                   >> 279 
267       distance[0] = kInfinity;                    280       distance[0] = kInfinity;
268       gxx[0].set(kInfinity,kInfinity,kInfinity    281       gxx[0].set(kInfinity,kInfinity,kInfinity);
269       isvalid[0] = false ;                        282       isvalid[0] = false ;
270       areacode[0] = sOutside ;                    283       areacode[0] = sOutside ;
271       fCurStatWithV.SetCurrentStatus(0, gxx[0]    284       fCurStatWithV.SetCurrentStatus(0, gxx[0], distance[0],
272                                      areacode[    285                                      areacode[0], isvalid[0],
273                                      0, valida    286                                      0, validate, &gp, &gv);
274                                                   287       
275       return 0;                                   288       return 0;
                                                   >> 289 
                                                   >> 290 
276     }  // end std::fabs(p.z() <= L                291     }  // end std::fabs(p.z() <= L 
                                                   >> 292 
277   } // end v.z() == 0                             293   } // end v.z() == 0
278   else   // general solution for non-zero vz   << 294   
279   {                                            << 295 
                                                   >> 296   // general solution for non-zero vz
                                                   >> 297 
                                                   >> 298   else {
                                                   >> 299 
280     G4double c[9],srd[8],si[8] ;                  300     G4double c[9],srd[8],si[8] ;  
281                                                   301 
282     c[8] = -3600*(-2*phiyz + fDy2plus1*fPhiTwi    302     c[8] = -3600*(-2*phiyz + fDy2plus1*fPhiTwist*v.z()) ;
283     c[7] = -7200*(phixz - 2*fDz*v.y() + (fdelt    303     c[7] = -7200*(phixz - 2*fDz*v.y() + (fdeltaY + fDy2minus1)*v.z()) ;
284     c[6] = 120*(-52*phiyz - 120*fDz*v.x() + 60 << 304     c[6] = 120*(-52*phiyz - 120*fDz*v.x() + 60*fdeltaX*v.z() + 11*fDy2plus1*fPhiTwist*v.z()) ;
285          + 11*fDy2plus1*fPhiTwist*v.z()) ;     << 305     c[5] = 240*(16*phixz - 52*fDz*v.y() + 26*fdeltaY*v.z() + 11*fDy2minus1*v.z()) ;
286     c[5] = 240*(16*phixz - 52*fDz*v.y() + 26*f << 306     c[4] = 12*(127*phiyz + 640*fDz*v.x() - 320*fdeltaX*v.z() + 4*fDy2plus1*fPhiTwist*v.z()) ;
287          + 11*fDy2minus1*v.z()) ;              << 307     c[3] = -404*phixz + 3048*fDz*v.y() - 1524*fdeltaY*v.z() + 96*fDy2minus1*v.z() ;
288     c[4] = 12*(127*phiyz + 640*fDz*v.x() - 320 << 
289          + 4*fDy2plus1*fPhiTwist*v.z()) ;      << 
290     c[3] = -404*phixz + 3048*fDz*v.y() - 1524* << 
291          + 96*fDy2minus1*v.z() ;               << 
292     c[2] = -72*phiyz + 404*(-2*fDz*v.x() + fde    308     c[2] = -72*phiyz + 404*(-2*fDz*v.x() + fdeltaX*v.z()) ;
293     c[1] = 12*(phixz - 12*fDz*v.y() + 6*fdelta    309     c[1] = 12*(phixz - 12*fDz*v.y() + 6*fdeltaY*v.z()) ;
294     c[0] = 24*fDz*v.x() - 12*fdeltaX*v.z() ;      310     c[0] = 24*fDz*v.x() - 12*fdeltaX*v.z() ;
295                                                   311 
296                                                   312 
297 #ifdef G4TWISTDEBUG                               313 #ifdef G4TWISTDEBUG
298     G4cout << "coef = " << c[0] << " "            314     G4cout << "coef = " << c[0] << " " 
299            <<  c[1] << " "                        315            <<  c[1] << " "  
300            <<  c[2] << " "                        316            <<  c[2] << " "  
301            <<  c[3] << " "                        317            <<  c[3] << " "  
302            <<  c[4] << " "                        318            <<  c[4] << " "  
303            <<  c[5] << " "                        319            <<  c[5] << " "  
304            <<  c[6] << " "                        320            <<  c[6] << " "  
305            <<  c[7] << " "                        321            <<  c[7] << " "  
306            <<  c[8] << G4endl ;                   322            <<  c[8] << G4endl ;
307 #endif                                            323 #endif    
308                                                   324 
309     G4JTPolynomialSolver trapEq ;                 325     G4JTPolynomialSolver trapEq ;
310     G4int num = trapEq.FindRoots(c,8,srd,si);     326     G4int num = trapEq.FindRoots(c,8,srd,si);
                                                   >> 327   
311                                                   328 
312     for (G4int i = 0 ; i<num ; ++i )   // loop << 329     for (G4int i = 0 ; i<num ; i++ ) {  // loop over all mathematical solutions
313     {                                          << 330       if ( si[i]==0.0 ) {  // only real solutions
314       if ( si[i]==0.0 )   // only real solutio << 
315       {                                        << 
316 #ifdef G4TWISTDEBUG                               331 #ifdef G4TWISTDEBUG
317         G4cout << "Solution " << i << " : " <<    332         G4cout << "Solution " << i << " : " << srd[i] << G4endl ;
318 #endif                                            333 #endif
319         phi = std::fmod(srd[i] , pihalf)  ;       334         phi = std::fmod(srd[i] , pihalf)  ;
320         u = (1/std::cos(phi)*(2*phixz + 4*fDz* << 335 
321           - 2*fdeltaX*phi*v.z() + (fDy2plus1*f << 336         u = (1/std::cos(phi)*(2*phixz + 4*fDz*phi*v.x() - 2*fdeltaX*phi*v.z() + (fDy2plus1*fPhiTwist + 2*fDy2minus1*phi)*v.z()* std::sin(phi)))/(2.*fPhiTwist*v.z()) ;
322           + 2*fDy2minus1*phi)*v.z()* std::sin( << 
323                                                   337 
324         xbuftmp.phi = phi ;                       338         xbuftmp.phi = phi ;
325         xbuftmp.u = u ;                           339         xbuftmp.u = u ;
326         xbuftmp.areacode = sOutside ;             340         xbuftmp.areacode = sOutside ;
327         xbuftmp.distance = kInfinity ;            341         xbuftmp.distance = kInfinity ;
328         xbuftmp.isvalid = false ;                 342         xbuftmp.isvalid = false ;
329                                                   343         
330         xbuf.push_back(xbuftmp) ;  // store it    344         xbuf.push_back(xbuftmp) ;  // store it to xbuf
331                                                   345       
332 #ifdef G4TWISTDEBUG                               346 #ifdef G4TWISTDEBUG
333         G4cout << "solution " << i << " = " <<    347         G4cout << "solution " << i << " = " << phi << " , " << u  << G4endl ;
334 #endif                                            348 #endif
335                                                   349 
336       }  // end if real solution                  350       }  // end if real solution
337     }  // end loop i                              351     }  // end loop i
338   }  // end general case                       << 352     
                                                   >> 353   }    // end general case
                                                   >> 354 
339                                                   355 
340   nxx = (G4int)xbuf.size() ;  // save the numb << 356   nxx = xbuf.size() ;  // save the number of  solutions
341                                                   357 
342   G4ThreeVector xxonsurface  ;       // point     358   G4ThreeVector xxonsurface  ;       // point on surface
343   G4ThreeVector surfacenormal  ;     // normal    359   G4ThreeVector surfacenormal  ;     // normal vector  
344   G4double deltaX  ; // distance between inter << 360   G4double deltaX  ;                 // distance between intersection point and point on surface
345   G4double theta  ;                  // angle     361   G4double theta  ;                  // angle between track and surfacenormal
346   G4double factor ;                  // a scal    362   G4double factor ;                  // a scaling factor
347   G4int maxint = 30 ;                // number    363   G4int maxint = 30 ;                // number of iterations
348                                                   364 
349                                                   365 
350   for (auto & k : xbuf)                        << 366   for ( size_t k = 0 ; k<xbuf.size() ; k++ ) {
351   {                                            << 367 
352 #ifdef G4TWISTDEBUG                               368 #ifdef G4TWISTDEBUG
353     G4cout << "Solution " << k << " : "           369     G4cout << "Solution " << k << " : " 
354            << "reconstructed phiR = " << xbuf[    370            << "reconstructed phiR = " << xbuf[k].phi
355            << ", uR = " << xbuf[k].u << G4endl    371            << ", uR = " << xbuf[k].u << G4endl ; 
356 #endif                                            372 #endif
357                                                   373     
358     phi = k.phi ;  // get the stored values fo << 374     phi = xbuf[k].phi ;  // get the stored values for phi and u
359     u = k.u ;                                  << 375     u = xbuf[k].u ;
360                                                   376 
361     IsConverged = false ;   // no convergence     377     IsConverged = false ;   // no convergence at the beginning
362                                                   378     
363     for ( G4int i = 1 ; i<maxint ; ++i )       << 379     for ( G4int i = 1 ; i<maxint ; i++ ) {
364     {                                          << 380       
365       xxonsurface = SurfacePoint(phi,u) ;         381       xxonsurface = SurfacePoint(phi,u) ;
366       surfacenormal = NormAng(phi,u) ;            382       surfacenormal = NormAng(phi,u) ;
367       tmpdist = DistanceToPlaneWithV(p, v, xxo    383       tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); 
368       deltaX = ( tmpxx - xxonsurface ).mag() ;    384       deltaX = ( tmpxx - xxonsurface ).mag() ; 
369       theta = std::fabs(std::acos(v*surfacenor    385       theta = std::fabs(std::acos(v*surfacenormal) - pihalf) ;
370       if ( theta < 0.001 )                     << 386       if ( theta < 0.001 ) { 
371       {                                        << 
372         factor = 50 ;                             387         factor = 50 ;
373         IsParallel = true ;                       388         IsParallel = true ;
374       }                                           389       }
375       else                                     << 390       else {
376       {                                        << 
377         factor = 1 ;                              391         factor = 1 ;
378       }                                           392       }
379                                                   393 
380 #ifdef G4TWISTDEBUG                               394 #ifdef G4TWISTDEBUG
381       G4cout << "Step i = " << i << ", distanc << 395       G4cout << "Step i = " << i << ", distance = " << tmpdist << ", " << deltaX << G4endl ;
382              << tmpdist << ", " << deltaX << G << 
383       G4cout << "X = " << tmpxx << G4endl ;       396       G4cout << "X = " << tmpxx << G4endl ;
384 #endif                                            397 #endif
385                                                   398       
386       GetPhiUAtX(tmpxx, phi, u); // new point  << 399       GetPhiUAtX(tmpxx, phi, u) ; // the new point xx is accepted and phi/u replaced
387                                                   400       
388 #ifdef G4TWISTDEBUG                               401 #ifdef G4TWISTDEBUG
389       G4cout << "approximated phi = " << phi <    402       G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; 
390 #endif                                            403 #endif
391                                                   404       
392       if ( deltaX <= factor*ctol ) { IsConverg    405       if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; }
                                                   >> 406       
393     }  // end iterative loop (i)                  407     }  // end iterative loop (i)
394                                                   408     
                                                   >> 409 
                                                   >> 410     // new code  21.09.05 O.Link
395     if ( std::fabs(tmpdist)<ctol ) tmpdist = 0    411     if ( std::fabs(tmpdist)<ctol ) tmpdist = 0 ; 
396                                                   412 
                                                   >> 413 
397 #ifdef G4TWISTDEBUG                               414 #ifdef G4TWISTDEBUG
398     G4cout << "refined solution "  << phi << "    415     G4cout << "refined solution "  << phi << " , " << u  <<  G4endl ;
399     G4cout << "distance = " << tmpdist << G4en    416     G4cout << "distance = " << tmpdist << G4endl ;
400     G4cout << "local X = " << tmpxx << G4endl     417     G4cout << "local X = " << tmpxx << G4endl ;
401 #endif                                            418 #endif
402                                                   419     
403     tmpisvalid = false ;  // init                 420     tmpisvalid = false ;  // init 
404                                                   421 
405     if ( IsConverged )                         << 422     if ( IsConverged ) {
406     {                                          << 423       
407       if (validate == kValidateWithTol)        << 424       if (validate == kValidateWithTol) {
408       {                                        << 
409         tmpareacode = GetAreaCode(tmpxx);         425         tmpareacode = GetAreaCode(tmpxx);
410         if (!IsOutside(tmpareacode))           << 426         if (!IsOutside(tmpareacode)) {
411         {                                      << 
412           if (tmpdist >= 0) tmpisvalid = true;    427           if (tmpdist >= 0) tmpisvalid = true;
413         }                                         428         }
414       }                                        << 429       } else if (validate == kValidateWithoutTol) {
415       else if (validate == kValidateWithoutTol << 
416       {                                        << 
417         tmpareacode = GetAreaCode(tmpxx, false    430         tmpareacode = GetAreaCode(tmpxx, false);
418         if (IsInside(tmpareacode))             << 431         if (IsInside(tmpareacode)) {
419         {                                      << 
420           if (tmpdist >= 0) tmpisvalid = true;    432           if (tmpdist >= 0) tmpisvalid = true;
421         }                                         433         }
422       }                                        << 434       } else { // kDontValidate
423       else  // kDontValidate                   << 
424       {                                        << 
425         G4Exception("G4TwistTrapParallelSide::    435         G4Exception("G4TwistTrapParallelSide::DistanceToSurface()",
426                     "GeomSolids0001", FatalExc    436                     "GeomSolids0001", FatalException,
427                     "Feature NOT implemented !    437                     "Feature NOT implemented !");
428       }                                           438       }
                                                   >> 439 
429     }                                             440     } 
430     else                                       << 441     else {
431     {                                          << 
432       tmpdist = kInfinity;     // no convergen    442       tmpdist = kInfinity;     // no convergence after 10 steps 
433       tmpisvalid = false ;     // solution is     443       tmpisvalid = false ;     // solution is not vaild
434     }                                             444     }  
435                                                   445 
                                                   >> 446 
436     // store the found values                     447     // store the found values 
437     k.xx = tmpxx ;                             << 448     xbuf[k].xx = tmpxx ;
438     k.distance = tmpdist ;                     << 449     xbuf[k].distance = tmpdist ;
439     k.areacode = tmpareacode ;                 << 450     xbuf[k].areacode = tmpareacode ;
440     k.isvalid = tmpisvalid ;                   << 451     xbuf[k].isvalid = tmpisvalid ;
                                                   >> 452 
                                                   >> 453 
441   }  // end loop over physical solutions (vari    454   }  // end loop over physical solutions (variable k)
442                                                   455 
                                                   >> 456 
443   std::sort(xbuf.begin() , xbuf.end(), Distanc    457   std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ;  // sorting
444                                                   458 
445 #ifdef G4TWISTDEBUG                               459 #ifdef G4TWISTDEBUG
446   G4cout << G4endl << "list xbuf after sorting    460   G4cout << G4endl << "list xbuf after sorting : " << G4endl ;
447   G4cout << G4endl << G4endl ;                    461   G4cout << G4endl << G4endl ;
448 #endif                                            462 #endif
449                                                   463 
                                                   >> 464 
450   // erase identical intersection (within kCar    465   // erase identical intersection (within kCarTolerance) 
451   xbuf.erase(std::unique(xbuf.begin(),xbuf.end << 466   xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ) , xbuf.end() ) ;
452                                                   467 
453                                                   468 
454   // add guesses                                  469   // add guesses
455                                                   470 
456   auto nxxtmp = (G4int)xbuf.size() ;           << 471   G4int nxxtmp = xbuf.size() ;
                                                   >> 472 
                                                   >> 473   if ( nxxtmp<2 || IsParallel  ) {
457                                                   474 
458   if ( nxxtmp<2 || IsParallel  )               << 
459   {                                            << 
460     // positive end                               475     // positive end
461 #ifdef G4TWISTDEBUG                               476 #ifdef G4TWISTDEBUG
462     G4cout << "add guess at +z/2 .. " << G4end    477     G4cout << "add guess at +z/2 .. " << G4endl ;
463 #endif                                            478 #endif
464                                                   479 
465     phi = fPhiTwist/2 ;                           480     phi = fPhiTwist/2 ;
466     u   =  0 ;                                    481     u   =  0 ;
467                                                   482     
468     xbuftmp.phi = phi ;                           483     xbuftmp.phi = phi ;
469     xbuftmp.u = u ;                               484     xbuftmp.u = u ;
470     xbuftmp.areacode = sOutside ;                 485     xbuftmp.areacode = sOutside ;
471     xbuftmp.distance = kInfinity ;                486     xbuftmp.distance = kInfinity ;
472     xbuftmp.isvalid = false ;                     487     xbuftmp.isvalid = false ;
473                                                   488     
474     xbuf.push_back(xbuftmp) ;  // store it to     489     xbuf.push_back(xbuftmp) ;  // store it to xbuf
475                                                   490 
                                                   >> 491 
476 #ifdef G4TWISTDEBUG                               492 #ifdef G4TWISTDEBUG
477     G4cout << "add guess at -z/2 .. " << G4end    493     G4cout << "add guess at -z/2 .. " << G4endl ;
478 #endif                                            494 #endif
479                                                   495 
480     phi = -fPhiTwist/2 ;                          496     phi = -fPhiTwist/2 ;
481     u   = 0 ;                                     497     u   = 0 ;
482                                                   498 
483     xbuftmp.phi = phi ;                           499     xbuftmp.phi = phi ;
484     xbuftmp.u = u ;                               500     xbuftmp.u = u ;
485     xbuftmp.areacode = sOutside ;                 501     xbuftmp.areacode = sOutside ;
486     xbuftmp.distance = kInfinity ;                502     xbuftmp.distance = kInfinity ;
487     xbuftmp.isvalid = false ;                     503     xbuftmp.isvalid = false ;
488                                                   504     
489     xbuf.push_back(xbuftmp) ;  // store it to     505     xbuf.push_back(xbuftmp) ;  // store it to xbuf
490                                                   506 
491     for ( std::size_t k = nxxtmp ; k<xbuf.size << 507     for ( size_t k = nxxtmp ; k<xbuf.size() ; k++ ) {
492     {                                          << 508 
493 #ifdef G4TWISTDEBUG                               509 #ifdef G4TWISTDEBUG
494       G4cout << "Solution " << k << " : "         510       G4cout << "Solution " << k << " : " 
495              << "reconstructed phiR = " << xbu    511              << "reconstructed phiR = " << xbuf[k].phi
496              << ", uR = " << xbuf[k].u << G4en    512              << ", uR = " << xbuf[k].u << G4endl ; 
497 #endif                                            513 #endif
498                                                   514       
499       phi = xbuf[k].phi ;  // get the stored v    515       phi = xbuf[k].phi ;  // get the stored values for phi and u
500       u   = xbuf[k].u ;                           516       u   = xbuf[k].u ;
501                                                   517 
502       IsConverged = false ;   // no convergenc    518       IsConverged = false ;   // no convergence at the beginning
503                                                   519       
504       for ( G4int i = 1 ; i<maxint ; ++i )     << 520       for ( G4int i = 1 ; i<maxint ; i++ ) {
505       {                                        << 521         
506         xxonsurface = SurfacePoint(phi,u) ;       522         xxonsurface = SurfacePoint(phi,u) ;
507         surfacenormal = NormAng(phi,u) ;          523         surfacenormal = NormAng(phi,u) ;
508         tmpdist = DistanceToPlaneWithV(p, v, x    524         tmpdist = DistanceToPlaneWithV(p, v, xxonsurface, surfacenormal, tmpxx); 
509         deltaX = ( tmpxx - xxonsurface ).mag()    525         deltaX = ( tmpxx - xxonsurface ).mag() ; 
510         theta = std::fabs(std::acos(v*surfacen    526         theta = std::fabs(std::acos(v*surfacenormal) - pihalf) ;
511         if ( theta < 0.001 )                   << 527         if ( theta < 0.001 ) { 
512         {                                      << 
513           factor = 50 ;                           528           factor = 50 ;    
514         }                                         529         }
515         else                                   << 530         else {
516         {                                      << 
517           factor = 1 ;                            531           factor = 1 ;
518         }                                         532         }
519                                                   533         
520 #ifdef G4TWISTDEBUG                               534 #ifdef G4TWISTDEBUG
521         G4cout << "Step i = " << i << ", dista << 535         G4cout << "Step i = " << i << ", distance = " << tmpdist << ", " << deltaX << G4endl ;
522                << tmpdist << ", " << deltaX << << 
523         G4cout << "X = " << tmpxx << G4endl ;     536         G4cout << "X = " << tmpxx << G4endl ;
524 #endif                                            537 #endif
525                                                   538 
526         GetPhiUAtX(tmpxx, phi, u) ; // new poi << 539         GetPhiUAtX(tmpxx, phi, u) ; // the new point xx is accepted and phi/u replaced
527                                                << 540       
528 #ifdef G4TWISTDEBUG                               541 #ifdef G4TWISTDEBUG
529         G4cout << "approximated phi = " << phi    542         G4cout << "approximated phi = " << phi << ", u = " << u << G4endl ; 
530 #endif                                            543 #endif
531                                                   544       
532         if ( deltaX <= factor*ctol ) { IsConve    545         if ( deltaX <= factor*ctol ) { IsConverged = true ; break ; }
                                                   >> 546       
533       }  // end iterative loop (i)                547       }  // end iterative loop (i)
                                                   >> 548     
534                                                   549 
                                                   >> 550       // new code  21.09.05 O.Link
535       if ( std::fabs(tmpdist)<ctol ) tmpdist =    551       if ( std::fabs(tmpdist)<ctol ) tmpdist = 0 ; 
536                                                   552 
                                                   >> 553 
537 #ifdef G4TWISTDEBUG                               554 #ifdef G4TWISTDEBUG
538       G4cout << "refined solution "  << phi <<    555       G4cout << "refined solution "  << phi << " , " << u  <<  G4endl ;
539       G4cout << "distance = " << tmpdist << G4    556       G4cout << "distance = " << tmpdist << G4endl ;
540       G4cout << "local X = " << tmpxx << G4end    557       G4cout << "local X = " << tmpxx << G4endl ;
541 #endif                                            558 #endif
542                                                   559 
543       tmpisvalid = false ;  // init               560       tmpisvalid = false ;  // init 
544                                                   561 
545       if ( IsConverged )                       << 562       if ( IsConverged ) {
546       {                                        << 563 
547         if (validate == kValidateWithTol)      << 564         if (validate == kValidateWithTol) {
548         {                                      << 
549           tmpareacode = GetAreaCode(tmpxx);       565           tmpareacode = GetAreaCode(tmpxx);
550           if (!IsOutside(tmpareacode))         << 566           if (!IsOutside(tmpareacode)) {
551           {                                    << 
552             if (tmpdist >= 0) tmpisvalid = tru    567             if (tmpdist >= 0) tmpisvalid = true;
553           }                                       568           }
554         }                                      << 569         } else if (validate == kValidateWithoutTol) {
555         else if (validate == kValidateWithoutT << 
556         {                                      << 
557           tmpareacode = GetAreaCode(tmpxx, fal    570           tmpareacode = GetAreaCode(tmpxx, false);
558           if (IsInside(tmpareacode))           << 571           if (IsInside(tmpareacode)) {
559           {                                    << 
560             if (tmpdist >= 0) tmpisvalid = tru    572             if (tmpdist >= 0) tmpisvalid = true;
561           }                                       573           }
562         }                                      << 574         } else { // kDontValidate
563         else  // kDontValidate                 << 
564         {                                      << 
565           G4Exception("G4TwistedBoxSide::Dista    575           G4Exception("G4TwistedBoxSide::DistanceToSurface()",
566                       "GeomSolids0001", FatalE    576                       "GeomSolids0001", FatalException,
567                       "Feature NOT implemented    577                       "Feature NOT implemented !");
568         }                                         578         }
569                                                   579         
570       }                                           580       } 
571       else                                     << 581       else {
572       {                                        << 
573         tmpdist = kInfinity;     // no converg    582         tmpdist = kInfinity;     // no convergence after 10 steps 
574         tmpisvalid = false ;     // solution i    583         tmpisvalid = false ;     // solution is not vaild
575       }                                           584       }  
576                                                << 585         
                                                   >> 586         
577       // store the found values                   587       // store the found values 
578       xbuf[k].xx = tmpxx ;                        588       xbuf[k].xx = tmpxx ;
579       xbuf[k].distance = tmpdist ;                589       xbuf[k].distance = tmpdist ;
580       xbuf[k].areacode = tmpareacode ;            590       xbuf[k].areacode = tmpareacode ;
581       xbuf[k].isvalid = tmpisvalid ;              591       xbuf[k].isvalid = tmpisvalid ;
582                                                   592 
                                                   >> 593 
583     }  // end loop over physical solutions        594     }  // end loop over physical solutions 
                                                   >> 595 
                                                   >> 596 
584   }  // end less than 2 solutions                 597   }  // end less than 2 solutions
585                                                   598 
                                                   >> 599 
586   // sort again                                   600   // sort again
587   std::sort(xbuf.begin() , xbuf.end(), Distanc    601   std::sort(xbuf.begin() , xbuf.end(), DistanceSort ) ;  // sorting
588                                                   602 
589   // erase identical intersection (within kCar    603   // erase identical intersection (within kCarTolerance) 
590   xbuf.erase(std::unique(xbuf.begin(),xbuf.end << 604   xbuf.erase( std::unique(xbuf.begin(), xbuf.end() , EqualIntersection ) , xbuf.end() ) ;
591                                                   605 
592 #ifdef G4TWISTDEBUG                               606 #ifdef G4TWISTDEBUG
593   G4cout << G4endl << "list xbuf after sorting    607   G4cout << G4endl << "list xbuf after sorting : " << G4endl ;
594   G4cout << G4endl << G4endl ;                    608   G4cout << G4endl << G4endl ;
595 #endif                                            609 #endif
596                                                   610 
597   nxx = (G4int)xbuf.size() ;   // determine nu << 611   nxx = xbuf.size() ;   // determine number of solutions again.
598                                                   612 
599   for ( G4int i = 0 ; i<(G4int)xbuf.size() ; + << 613   for ( size_t i = 0 ; i<xbuf.size() ; i++ ) {
600   {                                            << 614     
601     distance[i] = xbuf[i].distance;               615     distance[i] = xbuf[i].distance;
602     gxx[i]      = ComputeGlobalPoint(xbuf[i].x    616     gxx[i]      = ComputeGlobalPoint(xbuf[i].xx);
603     areacode[i] = xbuf[i].areacode ;              617     areacode[i] = xbuf[i].areacode ;
604     isvalid[i]  = xbuf[i].isvalid ;               618     isvalid[i]  = xbuf[i].isvalid ;
605                                                   619     
606     fCurStatWithV.SetCurrentStatus(i, gxx[i],     620     fCurStatWithV.SetCurrentStatus(i, gxx[i], distance[i], areacode[i],
607                                      isvalid[i    621                                      isvalid[i], nxx, validate, &gp, &gv);
                                                   >> 622 
608 #ifdef G4TWISTDEBUG                               623 #ifdef G4TWISTDEBUG
609     G4cout << "element Nr. " << i                 624     G4cout << "element Nr. " << i 
610            << ", local Intersection = " << xbu    625            << ", local Intersection = " << xbuf[i].xx 
611            << ", distance = " << xbuf[i].dista    626            << ", distance = " << xbuf[i].distance 
612            << ", u = " << xbuf[i].u               627            << ", u = " << xbuf[i].u 
613            << ", phi = " << xbuf[i].phi           628            << ", phi = " << xbuf[i].phi 
614            << ", isvalid = " << xbuf[i].isvali    629            << ", isvalid = " << xbuf[i].isvalid 
615            << G4endl ;                            630            << G4endl ;
616 #endif                                            631 #endif
                                                   >> 632 
617   }  // end for( i ) loop                         633   }  // end for( i ) loop
618                                                   634 
                                                   >> 635     
619 #ifdef G4TWISTDEBUG                               636 #ifdef G4TWISTDEBUG
620   G4cout << "G4TwistTrapParallelSide finished     637   G4cout << "G4TwistTrapParallelSide finished " << G4endl ;
621   G4cout << nxx << " possible physical solutio    638   G4cout << nxx << " possible physical solutions found" << G4endl ;
622   for ( G4int k= 0 ; k< nxx ; ++k )            << 639   for ( G4int k= 0 ; k< nxx ; k++ ) {
623   {                                            << 
624     G4cout << "global intersection Point found    640     G4cout << "global intersection Point found: " << gxx[k] << G4endl ;
625     G4cout << "distance = " << distance[k] <<     641     G4cout << "distance = " << distance[k] << G4endl ;
626     G4cout << "isvalid = " << isvalid[k] << G4    642     G4cout << "isvalid = " << isvalid[k] << G4endl ;
627   }                                               643   }
628 #endif                                            644 #endif
629                                                   645 
630   return nxx ;                                    646   return nxx ;
                                                   >> 647     
631 }                                                 648 }
632                                                   649 
                                                   >> 650 
                                                   >> 651 
633 //============================================    652 //=====================================================================
634 //* DistanceToSurface ------------------------    653 //* DistanceToSurface -------------------------------------------------
635                                                   654 
636 G4int G4TwistTrapParallelSide::DistanceToSurfa << 655 G4int G4TwistTrapParallelSide::DistanceToSurface(const G4ThreeVector &gp,
637                                                << 656                                                 G4ThreeVector  gxx[],
638                                                << 657                                                 G4double       distance[],
639                                                << 658                                                 G4int          areacode[])
640 {                                                 659 {  
                                                   >> 660   // to do
                                                   >> 661 
641   const G4double ctol = 0.5 * kCarTolerance;      662   const G4double ctol = 0.5 * kCarTolerance;
642                                                   663 
643   fCurStat.ResetfDone(kDontValidate, &gp);        664   fCurStat.ResetfDone(kDontValidate, &gp);
644                                                   665 
645    if (fCurStat.IsDone())                      << 666    if (fCurStat.IsDone()) {
646    {                                           << 667       G4int i;
647       for (G4int i=0; i<fCurStat.GetNXX(); ++i << 668       for (i=0; i<fCurStat.GetNXX(); i++) {
648       {                                        << 
649          gxx[i] = fCurStat.GetXX(i);              669          gxx[i] = fCurStat.GetXX(i);
650          distance[i] = fCurStat.GetDistance(i)    670          distance[i] = fCurStat.GetDistance(i);
651          areacode[i] = fCurStat.GetAreacode(i)    671          areacode[i] = fCurStat.GetAreacode(i);
652       }                                           672       }
653       return fCurStat.GetNXX();                   673       return fCurStat.GetNXX();
654    }                                           << 674    } else {
655    else  // initialize                         << 675       // initialize
656    {                                           << 676       G4int i;
657       for (G4int i=0; i<G4VSURFACENXX; ++i)    << 677       for (i=0; i<G4VSURFACENXX; i++) {
658       {                                        << 
659          distance[i] = kInfinity;                 678          distance[i] = kInfinity;
660          areacode[i] = sOutside;                  679          areacode[i] = sOutside;
661          gxx[i].set(kInfinity, kInfinity, kInf    680          gxx[i].set(kInfinity, kInfinity, kInfinity);
662       }                                           681       }
663    }                                              682    }
664                                                   683    
665    G4ThreeVector p = ComputeLocalPoint(gp);       684    G4ThreeVector p = ComputeLocalPoint(gp);
666    G4ThreeVector xx;  // intersection point       685    G4ThreeVector xx;  // intersection point
667    G4ThreeVector xxonsurface ; // interpolated    686    G4ThreeVector xxonsurface ; // interpolated intersection point 
668                                                   687 
669    // the surfacenormal at that surface point     688    // the surfacenormal at that surface point
670    G4double phiR = 0  ; //                        689    G4double phiR = 0  ; // 
671    G4double uR = 0 ;                              690    G4double uR = 0 ;
672                                                   691 
673    G4ThreeVector surfacenormal ;                  692    G4ThreeVector surfacenormal ; 
674    G4double deltaX ;                              693    G4double deltaX ;
675                                                   694    
676    G4int maxint = 20 ;                            695    G4int maxint = 20 ;
677                                                   696 
678    for ( G4int i = 1 ; i<maxint ; ++i )        << 697    for ( G4int i = 1 ; i<maxint ; i++ ) {
679    {                                           << 698 
680      xxonsurface = SurfacePoint(phiR,uR) ;        699      xxonsurface = SurfacePoint(phiR,uR) ;
681      surfacenormal = NormAng(phiR,uR) ;           700      surfacenormal = NormAng(phiR,uR) ;
682      distance[0] = DistanceToPlane(p, xxonsurf    701      distance[0] = DistanceToPlane(p, xxonsurface, surfacenormal, xx); // new XX
683      deltaX = ( xx - xxonsurface ).mag() ;        702      deltaX = ( xx - xxonsurface ).mag() ; 
684                                                   703 
685 #ifdef G4TWISTDEBUG                               704 #ifdef G4TWISTDEBUG
686      G4cout << "i = " << i << ", distance = "  << 705      G4cout << "i = " << i << ", distance = " << distance[0] << ", " << deltaX << G4endl ;
687             << distance[0] << ", " << deltaX < << 
688      G4cout << "X = " << xx << G4endl ;           706      G4cout << "X = " << xx << G4endl ;
689 #endif                                            707 #endif
690                                                   708 
691      // the new point xx is accepted and phi/p    709      // the new point xx is accepted and phi/psi replaced
692      GetPhiUAtX(xx, phiR, uR) ;                   710      GetPhiUAtX(xx, phiR, uR) ;
693                                                   711      
694      if ( deltaX <= ctol ) { break ; }            712      if ( deltaX <= ctol ) { break ; }
                                                   >> 713 
695    }                                              714    }
696                                                   715 
697    // check validity of solution ( valid phi,p    716    // check validity of solution ( valid phi,psi ) 
698                                                   717 
699    G4double halfphi = 0.5*fPhiTwist ;             718    G4double halfphi = 0.5*fPhiTwist ;
700    G4double uMax = GetBoundaryMax(phiR) ;         719    G4double uMax = GetBoundaryMax(phiR) ;
701    G4double uMin = GetBoundaryMin(phiR) ;         720    G4double uMin = GetBoundaryMin(phiR) ;
702                                                   721 
703    if (  phiR > halfphi ) phiR =  halfphi ;       722    if (  phiR > halfphi ) phiR =  halfphi ;
704    if ( phiR < -halfphi ) phiR = -halfphi ;       723    if ( phiR < -halfphi ) phiR = -halfphi ;
705    if ( uR > uMax ) uR = uMax ;                   724    if ( uR > uMax ) uR = uMax ;
706    if ( uR < uMin ) uR = uMin ;                   725    if ( uR < uMin ) uR = uMin ;
707                                                   726 
708    xxonsurface = SurfacePoint(phiR,uR) ;          727    xxonsurface = SurfacePoint(phiR,uR) ;
709    distance[0] = (  p - xx ).mag() ;              728    distance[0] = (  p - xx ).mag() ;
710    if ( distance[0] <= ctol ) { distance[0] =     729    if ( distance[0] <= ctol ) { distance[0] = 0 ; } 
711                                                   730 
712    // end of validity                             731    // end of validity 
713                                                   732 
714 #ifdef G4TWISTDEBUG                               733 #ifdef G4TWISTDEBUG
715    G4cout << "refined solution "  << phiR << "    734    G4cout << "refined solution "  << phiR << " , " << uR << " , " <<  G4endl ;
716    G4cout << "distance = " << distance[0] << G    735    G4cout << "distance = " << distance[0] << G4endl ;
717    G4cout << "X = " << xx << G4endl ;             736    G4cout << "X = " << xx << G4endl ;
718 #endif                                            737 #endif
719                                                   738 
720    G4bool isvalid = true;                         739    G4bool isvalid = true;
721    gxx[0]      = ComputeGlobalPoint(xx);          740    gxx[0]      = ComputeGlobalPoint(xx);
722                                                   741    
723 #ifdef G4TWISTDEBUG                               742 #ifdef G4TWISTDEBUG
724    G4cout << "intersection Point found: " << g    743    G4cout << "intersection Point found: " << gxx[0] << G4endl ;
725    G4cout << "distance = " << distance[0] << G    744    G4cout << "distance = " << distance[0] << G4endl ;
726 #endif                                            745 #endif
727                                                   746 
728    fCurStat.SetCurrentStatus(0, gxx[0], distan    747    fCurStat.SetCurrentStatus(0, gxx[0], distance[0], areacode[0],
729                             isvalid, 1, kDontV    748                             isvalid, 1, kDontValidate, &gp);
730    return 1;                                      749    return 1;
731 }                                                 750 }
732                                                   751 
                                                   >> 752 
733 //============================================    753 //=====================================================================
734 //* GetAreaCode ------------------------------    754 //* GetAreaCode -------------------------------------------------------
735                                                   755 
736 G4int G4TwistTrapParallelSide::GetAreaCode(con << 756 G4int G4TwistTrapParallelSide::GetAreaCode(const G4ThreeVector &xx, 
737                                            G4b << 757                                           G4bool withTol)
738 {                                                 758 {
739    // We must use the function in local coordi    759    // We must use the function in local coordinate system.
740    // See the description of DistanceToSurface    760    // See the description of DistanceToSurface(p,v).
741                                                   761    
742    const G4double ctol = 0.5 * kCarTolerance;     762    const G4double ctol = 0.5 * kCarTolerance;
743                                                   763 
744    G4double phi ;                                 764    G4double phi ;
745    G4double yprime ;                              765    G4double yprime ;
746    GetPhiUAtX(xx, phi,yprime ) ;                  766    GetPhiUAtX(xx, phi,yprime ) ;
747                                                   767 
748    G4double fXAxisMax = GetBoundaryMax(phi) ;     768    G4double fXAxisMax = GetBoundaryMax(phi) ;
749    G4double fXAxisMin = GetBoundaryMin(phi) ;     769    G4double fXAxisMin = GetBoundaryMin(phi) ;
750                                                   770 
751 #ifdef G4TWISTDEBUG                               771 #ifdef G4TWISTDEBUG
752    G4cout << "GetAreaCode: phi = " << phi << G    772    G4cout << "GetAreaCode: phi = " << phi << G4endl ;
753    G4cout << "GetAreaCode: yprime = " << yprim    773    G4cout << "GetAreaCode: yprime = " << yprime << G4endl ;
754    G4cout << "Intervall is " << fXAxisMin << "    774    G4cout << "Intervall is " << fXAxisMin << " to " << fXAxisMax << G4endl ;
755 #endif                                            775 #endif
756                                                   776 
757    G4int areacode = sInside;                      777    G4int areacode = sInside;
758                                                   778    
759    if (fAxis[0] == kXAxis && fAxis[1] == kZAxi << 779    if (fAxis[0] == kXAxis && fAxis[1] == kZAxis) {
760    {                                           << 780 
761       G4int zaxis = 1;                            781       G4int zaxis = 1;
762                                                   782       
763       if (withTol)                             << 783       if (withTol) {
764       {                                        << 784 
765         G4bool isoutside = false;              << 785         G4bool isoutside   = false;
766                                                   786         
767         // test boundary of xaxis                 787         // test boundary of xaxis
768                                                   788 
769          if (yprime < fXAxisMin + ctol)        << 789          if (yprime < fXAxisMin + ctol) {
770          {                                     << 
771             areacode |= (sAxis0 & (sAxisX | sA    790             areacode |= (sAxis0 & (sAxisX | sAxisMin)) | sBoundary; 
772             if (yprime <= fXAxisMin - ctol) is    791             if (yprime <= fXAxisMin - ctol) isoutside = true;
773                                                   792 
774          }                                     << 793          } else if (yprime > fXAxisMax - ctol) {
775          else if (yprime > fXAxisMax - ctol)   << 
776          {                                     << 
777             areacode |= (sAxis0 & (sAxisX | sA    794             areacode |= (sAxis0 & (sAxisX | sAxisMax)) | sBoundary;
778             if (yprime >= fXAxisMax + ctol)  i    795             if (yprime >= fXAxisMax + ctol)  isoutside = true;
779          }                                        796          }
780                                                   797 
781          // test boundary of z-axis               798          // test boundary of z-axis
782                                                   799 
783          if (xx.z() < fAxisMin[zaxis] + ctol)  << 800          if (xx.z() < fAxisMin[zaxis] + ctol) {
784          {                                     << 
785             areacode |= (sAxis1 & (sAxisZ | sA    801             areacode |= (sAxis1 & (sAxisZ | sAxisMin)); 
786                                                   802 
787             if   ((areacode & sBoundary) != 0) << 803             if   (areacode & sBoundary) areacode |= sCorner;  // xx is on the corner.
788             else                        areaco    804             else                        areacode |= sBoundary;
789             if (xx.z() <= fAxisMin[zaxis] - ct    805             if (xx.z() <= fAxisMin[zaxis] - ctol) isoutside = true;
790                                                   806 
791          }                                     << 807          } else if (xx.z() > fAxisMax[zaxis] - ctol) {
792          else if (xx.z() > fAxisMax[zaxis] - c << 
793          {                                     << 
794             areacode |= (sAxis1 & (sAxisZ | sA    808             areacode |= (sAxis1 & (sAxisZ | sAxisMax));
795                                                   809 
796             if   ((areacode & sBoundary) != 0) << 810             if   (areacode & sBoundary) areacode |= sCorner;  // xx is on the corner.
797             else                        areaco    811             else                        areacode |= sBoundary; 
798             if (xx.z() >= fAxisMax[zaxis] + ct    812             if (xx.z() >= fAxisMax[zaxis] + ctol) isoutside = true;
799          }                                        813          }
800                                                   814 
801          // if isoutside = true, clear inside     815          // if isoutside = true, clear inside bit.             
802          // if not on boundary, add axis infor    816          // if not on boundary, add axis information.             
803                                                   817          
804          if (isoutside)                        << 818          if (isoutside) {
805          {                                     << 
806             G4int tmpareacode = areacode & (~s    819             G4int tmpareacode = areacode & (~sInside);
807             areacode = tmpareacode;               820             areacode = tmpareacode;
808          }                                     << 821          } else if ((areacode & sBoundary) != sBoundary) {
809          else if ((areacode & sBoundary) != sB << 
810          {                                     << 
811             areacode |= (sAxis0 & sAxisX) | (s    822             areacode |= (sAxis0 & sAxisX) | (sAxis1 & sAxisZ);
812          }                                        823          }           
813                                                   824          
814       }                                        << 825       } else {
815       else                                     << 826 
816       {                                        << 
817          // boundary of y-axis                    827          // boundary of y-axis
818                                                   828 
819          if (yprime < fXAxisMin )              << 829          if (yprime < fXAxisMin ) {
820          {                                     << 
821             areacode |= (sAxis0 & (sAxisX | sA    830             areacode |= (sAxis0 & (sAxisX | sAxisMin)) | sBoundary;
822          }                                     << 831          } else if (yprime > fXAxisMax) {
823          else if (yprime > fXAxisMax)          << 
824          {                                     << 
825             areacode |= (sAxis0 & (sAxisX | sA    832             areacode |= (sAxis0 & (sAxisX | sAxisMax)) | sBoundary;
826          }                                        833          }
827                                                   834          
828          // boundary of z-axis                    835          // boundary of z-axis
829                                                   836 
830          if (xx.z() < fAxisMin[zaxis])         << 837          if (xx.z() < fAxisMin[zaxis]) {
831          {                                     << 
832             areacode |= (sAxis1 & (sAxisZ | sA    838             areacode |= (sAxis1 & (sAxisZ | sAxisMin));
833             if   ((areacode & sBoundary) != 0) << 839             if   (areacode & sBoundary) areacode |= sCorner;  // xx is on the corner.
834             else                        areaco    840             else                        areacode |= sBoundary; 
835                                                   841            
836          }                                     << 842          } else if (xx.z() > fAxisMax[zaxis]) {
837          else if (xx.z() > fAxisMax[zaxis])    << 
838          {                                     << 
839             areacode |= (sAxis1 & (sAxisZ | sA    843             areacode |= (sAxis1 & (sAxisZ | sAxisMax)) ;
840             if   ((areacode & sBoundary) != 0) << 844             if   (areacode & sBoundary) areacode |= sCorner;  // xx is on the corner.
841             else                        areaco    845             else                        areacode |= sBoundary; 
842          }                                        846          }
843                                                   847 
844          if ((areacode & sBoundary) != sBounda << 848          if ((areacode & sBoundary) != sBoundary) {
845          {                                     << 
846             areacode |= (sAxis0 & sAxisX) | (s    849             areacode |= (sAxis0 & sAxisX) | (sAxis1 & sAxisZ);
847          }                                        850          }           
848       }                                           851       }
849       return areacode;                            852       return areacode;
850    }                                           << 853    } else {
851    else                                        << 
852    {                                           << 
853       G4Exception("G4TwistTrapParallelSide::Ge    854       G4Exception("G4TwistTrapParallelSide::GetAreaCode()",
854                   "GeomSolids0001", FatalExcep    855                   "GeomSolids0001", FatalException,
855                   "Feature NOT implemented !")    856                   "Feature NOT implemented !");
856    }                                              857    }
857    return areacode;                               858    return areacode;
858 }                                                 859 }
859                                                   860 
860 //============================================    861 //=====================================================================
861 //* SetCorners() -----------------------------    862 //* SetCorners() ------------------------------------------------------
862                                                   863 
863 void G4TwistTrapParallelSide::SetCorners()        864 void G4TwistTrapParallelSide::SetCorners()
864 {                                                 865 {
865                                                   866 
866   // Set Corner points in local coodinate.        867   // Set Corner points in local coodinate.   
867                                                   868 
868   if (fAxis[0] == kXAxis && fAxis[1] == kZAxis << 869   if (fAxis[0] == kXAxis && fAxis[1] == kZAxis) {
869   {                                            << 870     
870     G4double x, y, z;                             871     G4double x, y, z;
871                                                   872 
872     // corner of Axis0min and Axis1min            873     // corner of Axis0min and Axis1min
873                                                   874 
874     x = -fdeltaX/2. + (-fDx2 + fDy1*fTAlph)*st << 875     x = -fdeltaX/2. + (-fDx2 + fDy1*fTAlph)*std::cos(fPhiTwist/2.) + fDy1*std::sin(fPhiTwist/2.) ;
875       + fDy1*std::sin(fPhiTwist/2.) ;          << 876     y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/2.) + (fDx2 - fDy1*fTAlph)*std::sin(fPhiTwist/2.) ;
876     y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/ << 
877       + (fDx2 - fDy1*fTAlph)*std::sin(fPhiTwis << 
878     z = -fDz ;                                    877     z = -fDz ;
879                                                   878 
880     SetCorner(sC0Min1Min, x, y, z);               879     SetCorner(sC0Min1Min, x, y, z);
881                                                   880       
882     // corner of Axis0max and Axis1min            881     // corner of Axis0max and Axis1min
883                                                   882 
884     x = -fdeltaX/2. + (fDx2 + fDy1*fTAlph)*std << 883     x = -fdeltaX/2. + (fDx2 + fDy1*fTAlph)*std::cos(fPhiTwist/2.) + fDy1*std::sin(fPhiTwist/2.) ;
885       + fDy1*std::sin(fPhiTwist/2.) ;          << 884     y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/2.) - (fDx2 + fDy1*fTAlph)*std::sin(fPhiTwist/2.) ;
886     y = -fdeltaY/2. + fDy1*std::cos(fPhiTwist/ << 
887       - (fDx2 + fDy1*fTAlph)*std::sin(fPhiTwis << 
888     z = -fDz;                                     885     z = -fDz;
889                                                   886 
890     SetCorner(sC0Max1Min, x, y, z);               887     SetCorner(sC0Max1Min, x, y, z);
891                                                   888       
892     // corner of Axis0max and Axis1max            889     // corner of Axis0max and Axis1max
893     x = fdeltaX/2. + (fDx4 + fDy2*fTAlph)*std: << 890     x = fdeltaX/2. + (fDx4 + fDy2*fTAlph)*std::cos(fPhiTwist/2.) - fDy2*std::sin(fPhiTwist/2.) ;
894       - fDy2*std::sin(fPhiTwist/2.) ;          << 891     y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2.) + (fDx4 + fDy2*fTAlph)*std::sin(fPhiTwist/2.) ;
895     y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2 << 
896       + (fDx4 + fDy2*fTAlph)*std::sin(fPhiTwis << 
897     z = fDz ;                                     892     z = fDz ;
898                                                   893 
899     SetCorner(sC0Max1Max, x, y, z);               894     SetCorner(sC0Max1Max, x, y, z);
900                                                   895       
901     // corner of Axis0min and Axis1max            896     // corner of Axis0min and Axis1max
902     x = fdeltaX/2. + (-fDx4 + fDy2*fTAlph)*std << 897     x = fdeltaX/2. + (-fDx4 + fDy2*fTAlph)*std::cos(fPhiTwist/2.) - fDy2*std::sin(fPhiTwist/2.) ;
903       - fDy2*std::sin(fPhiTwist/2.) ;          << 898     y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2.) + (-fDx4 + fDy2*fTAlph)*std::sin(fPhiTwist/2.) ;
904     y = fdeltaY/2. + fDy2*std::cos(fPhiTwist/2 << 
905       + (-fDx4 + fDy2*fTAlph)*std::sin(fPhiTwi << 
906     z = fDz ;                                     899     z = fDz ;
907                                                   900 
908     SetCorner(sC0Min1Max, x, y, z);               901     SetCorner(sC0Min1Max, x, y, z);
909   }                                            << 902 
910   else                                         << 903   } else {
911   {                                            << 904 
912     G4Exception("G4TwistTrapParallelSide::SetC    905     G4Exception("G4TwistTrapParallelSide::SetCorners()",
913                 "GeomSolids0001", FatalExcepti    906                 "GeomSolids0001", FatalException,
914                 "Method NOT implemented !");      907                 "Method NOT implemented !");
915   }                                               908   }
916 }                                                 909 }
917                                                   910 
918 //============================================    911 //=====================================================================
919 //* SetBoundaries() --------------------------    912 //* SetBoundaries() ---------------------------------------------------
920                                                   913 
921 void G4TwistTrapParallelSide::SetBoundaries()     914 void G4TwistTrapParallelSide::SetBoundaries()
922 {                                                 915 {
923    // Set direction-unit vector of boundary-li    916    // Set direction-unit vector of boundary-lines in local coodinate. 
924    //                                             917    //   
925                                                   918 
926   G4ThreeVector direction;                        919   G4ThreeVector direction;
927                                                   920    
928   if (fAxis[0] == kXAxis && fAxis[1] == kZAxis << 921   if (fAxis[0] == kXAxis && fAxis[1] == kZAxis) {
929   {                                            << 922       
930     // sAxis0 & sAxisMin                          923     // sAxis0 & sAxisMin
931     direction = GetCorner(sC0Min1Max) - GetCor    924     direction = GetCorner(sC0Min1Max) - GetCorner(sC0Min1Min);
932     direction = direction.unit();                 925     direction = direction.unit();
933     SetBoundary(sAxis0 & (sAxisX | sAxisMin),     926     SetBoundary(sAxis0 & (sAxisX | sAxisMin), direction, 
934                 GetCorner(sC0Min1Min), sAxisZ)    927                 GetCorner(sC0Min1Min), sAxisZ) ;
935                                                   928       
936       // sAxis0 & sAxisMax                        929       // sAxis0 & sAxisMax
937     direction = GetCorner(sC0Max1Max) - GetCor    930     direction = GetCorner(sC0Max1Max) - GetCorner(sC0Max1Min);
938     direction = direction.unit();                 931     direction = direction.unit();
939     SetBoundary(sAxis0 & (sAxisX | sAxisMax),     932     SetBoundary(sAxis0 & (sAxisX | sAxisMax), direction, 
940                 GetCorner(sC0Max1Min), sAxisZ)    933                 GetCorner(sC0Max1Min), sAxisZ);
941                                                   934     
942     // sAxis1 & sAxisMin                          935     // sAxis1 & sAxisMin
943     direction = GetCorner(sC0Max1Min) - GetCor    936     direction = GetCorner(sC0Max1Min) - GetCorner(sC0Min1Min);
944     direction = direction.unit();                 937     direction = direction.unit();
945     SetBoundary(sAxis1 & (sAxisZ | sAxisMin),     938     SetBoundary(sAxis1 & (sAxisZ | sAxisMin), direction, 
946                 GetCorner(sC0Min1Min), sAxisX)    939                 GetCorner(sC0Min1Min), sAxisX);
947                                                   940     
948     // sAxis1 & sAxisMax                          941     // sAxis1 & sAxisMax
949     direction = GetCorner(sC0Max1Max) - GetCor    942     direction = GetCorner(sC0Max1Max) - GetCorner(sC0Min1Max);
950     direction = direction.unit();                 943     direction = direction.unit();
951     SetBoundary(sAxis1 & (sAxisZ | sAxisMax),     944     SetBoundary(sAxis1 & (sAxisZ | sAxisMax), direction, 
952                 GetCorner(sC0Min1Max), sAxisX)    945                 GetCorner(sC0Min1Max), sAxisX);
                                                   >> 946     
                                                   >> 947   } else {
                                                   >> 948     
                                                   >> 949   G4Exception("G4TwistTrapParallelSide::SetCorners()",
                                                   >> 950               "GeomSolids0001", FatalException,
                                                   >> 951               "Feature NOT implemented !");
953   }                                               952   }
954   else                                         << 953   
955   {                                            << 
956     G4Exception("G4TwistTrapParallelSide::SetC << 
957                 "GeomSolids0001", FatalExcepti << 
958                 "Feature NOT implemented !");  << 
959   }                                            << 
960 }                                                 954 }
961                                                   955 
962 //============================================    956 //=====================================================================
963 //* GetPhiUAtX() -----------------------------    957 //* GetPhiUAtX() ------------------------------------------------------
964                                                   958 
965 void                                              959 void
966 G4TwistTrapParallelSide::GetPhiUAtX( const G4T << 960 G4TwistTrapParallelSide::GetPhiUAtX( G4ThreeVector p, G4double &phi, G4double &u) 
967                                      G4double& << 
968 {                                                 961 {
969   // find closest point XX on surface for a gi    962   // find closest point XX on surface for a given point p
970   // X0 is a point on the surface,  d is the d << 963   // X0 is a point on the surface,  d is the direction ( both for a fixed z = pz)
971   // ( both for a fixed z = pz)                << 
972                                                   964   
973   // phi is given by the z coordinate of p        965   // phi is given by the z coordinate of p
974                                                   966 
975   phi = p.z()/(2*fDz)*fPhiTwist ;                 967   phi = p.z()/(2*fDz)*fPhiTwist ;
976                                                   968 
977   u = ((-(fdeltaX*phi) + fPhiTwist*p.x())* std << 969   u = ((-(fdeltaX*phi) + fPhiTwist*p.x())* std::cos(phi) + (-(fdeltaY*phi) + fPhiTwist*p.y())*std::sin(phi))/fPhiTwist ;
978     + (-(fdeltaY*phi) + fPhiTwist*p.y())*std:: << 970 
979 }                                                 971 }
980                                                   972 
981 //============================================    973 //=====================================================================
982 //* ProjectPoint() ---------------------------    974 //* ProjectPoint() ----------------------------------------------------
983                                                   975 
984 G4ThreeVector G4TwistTrapParallelSide::Project << 976 G4ThreeVector G4TwistTrapParallelSide::ProjectPoint(const G4ThreeVector &p, 
985                                                   977                                                     G4bool isglobal) 
986 {                                                 978 {
987   // Get Rho at p.z() on Hyperbolic Surface.      979   // Get Rho at p.z() on Hyperbolic Surface.
988   G4ThreeVector tmpp;                             980   G4ThreeVector tmpp;
989   if (isglobal)                                << 981   if (isglobal) {
990   {                                            << 
991      tmpp = fRot.inverse()*p - fTrans;            982      tmpp = fRot.inverse()*p - fTrans;
992   }                                            << 983   } else {
993   else                                         << 
994   {                                            << 
995      tmpp = p;                                    984      tmpp = p;
996   }                                               985   }
997                                                   986 
998   G4double phi ;                                  987   G4double phi ;
999   G4double u ;                                    988   G4double u ;
1000                                                  989 
1001   GetPhiUAtX( tmpp, phi, u ) ;  // calculate  << 990   GetPhiUAtX( tmpp, phi, u ) ;  // calculate (phi, u) for a point p close the surface
1002                                                  991   
1003   G4ThreeVector xx = SurfacePoint(phi,u) ; // << 992   G4ThreeVector xx = SurfacePoint(phi,u) ;  // transform back to cartesian coordinates
1004                                                  993 
1005   if (isglobal)                               << 994   if (isglobal) {
1006   {                                           << 
1007      return (fRot * xx + fTrans);                995      return (fRot * xx + fTrans);
1008   }                                           << 996   } else {
1009   else                                        << 
1010   {                                           << 
1011      return xx;                                  997      return xx;
1012   }                                              998   }
1013 }                                                999 }
1014                                                  1000 
1015 //===========================================    1001 //=====================================================================
1016 //* GetFacets() -----------------------------    1002 //* GetFacets() -------------------------------------------------------
1017                                                  1003 
1018 void G4TwistTrapParallelSide::GetFacets( G4in    1004 void G4TwistTrapParallelSide::GetFacets( G4int k, G4int n, G4double xyz[][3],
1019                                          G4in    1005                                          G4int faces[][4], G4int iside ) 
1020 {                                                1006 {
                                                   >> 1007 
1021   G4double phi ;                                 1008   G4double phi ;
1022   G4double z, u ;     // the two parameters f    1009   G4double z, u ;     // the two parameters for the surface equation
1023   G4ThreeVector p ;  // a point on the surfac    1010   G4ThreeVector p ;  // a point on the surface, given by (z,u)
1024                                                  1011 
1025   G4int nnode ;                                  1012   G4int nnode ;
1026   G4int nface ;                                  1013   G4int nface ;
1027                                                  1014 
1028   G4double umin, umax ;                          1015   G4double umin, umax ;
1029                                                  1016 
1030   // calculate the (n-1)*(k-1) vertices          1017   // calculate the (n-1)*(k-1) vertices
1031                                                  1018 
1032   for ( G4int i = 0 ; i<n ; ++i )             << 1019   G4int i,j ;
1033   {                                           << 1020 
                                                   >> 1021   for ( i = 0 ; i<n ; i++ ) {
                                                   >> 1022 
1034     z = -fDz+i*(2.*fDz)/(n-1) ;                  1023     z = -fDz+i*(2.*fDz)/(n-1) ;
1035     phi = z*fPhiTwist/(2*fDz) ;                  1024     phi = z*fPhiTwist/(2*fDz) ;
1036     umin = GetBoundaryMin(phi) ;                 1025     umin = GetBoundaryMin(phi) ;
1037     umax = GetBoundaryMax(phi) ;                 1026     umax = GetBoundaryMax(phi) ;
1038                                                  1027 
1039     for ( G4int j = 0 ; j<k ; ++j )           << 1028     for ( j = 0 ; j<k ; j++ ) {
1040     {                                         << 1029 
1041       nnode = GetNode(i,j,k,n,iside) ;           1030       nnode = GetNode(i,j,k,n,iside) ;
1042       u = umax - j*(umax-umin)/(k-1) ;           1031       u = umax - j*(umax-umin)/(k-1) ;
1043       p = SurfacePoint(phi,u,true) ;  // surf << 1032       p = SurfacePoint(phi,u,true) ;  // surface point in global coordinate system
1044                                                  1033 
1045       xyz[nnode][0] = p.x() ;                    1034       xyz[nnode][0] = p.x() ;
1046       xyz[nnode][1] = p.y() ;                    1035       xyz[nnode][1] = p.y() ;
1047       xyz[nnode][2] = p.z() ;                    1036       xyz[nnode][2] = p.z() ;
1048                                                  1037 
1049       if ( i<n-1 && j<k-1 )    // conterclock << 1038       if ( i<n-1 && j<k-1 ) {   // conterclock wise filling
1050       {                                       << 1039         
1051         nface = GetFace(i,j,k,n,iside) ;         1040         nface = GetFace(i,j,k,n,iside) ;
1052         faces[nface][0] = GetEdgeVisibility(i << 1041         faces[nface][0] = GetEdgeVisibility(i,j,k,n,0,-1) * (GetNode(i  ,j  ,k,n,iside)+1) ;  // fortran numbering
1053                         * (GetNode(i  ,j  ,k, << 1042         faces[nface][1] = GetEdgeVisibility(i,j,k,n,1,-1) * (GetNode(i  ,j+1,k,n,iside)+1) ;
1054         faces[nface][1] = GetEdgeVisibility(i << 1043         faces[nface][2] = GetEdgeVisibility(i,j,k,n,2,-1) * (GetNode(i+1,j+1,k,n,iside)+1) ;
1055                         * (GetNode(i  ,j+1,k, << 1044         faces[nface][3] = GetEdgeVisibility(i,j,k,n,3,-1) * (GetNode(i+1,j  ,k,n,iside)+1) ;
1056         faces[nface][2] = GetEdgeVisibility(i << 1045 
1057                         * (GetNode(i+1,j+1,k, << 
1058         faces[nface][3] = GetEdgeVisibility(i << 
1059                         * (GetNode(i+1,j  ,k, << 
1060       }                                          1046       }
1061     }                                            1047     }
1062   }                                              1048   }
1063 }                                                1049 }
1064                                                  1050