Geant4 Cross Reference

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Geant4/graphics_reps/src/HepPolyhedron.cc

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Differences between /graphics_reps/src/HepPolyhedron.cc (Version 11.3.0) and /graphics_reps/src/HepPolyhedron.cc (Version 11.2)


  1 //                                                  1 //
  2 // *******************************************      2 // ********************************************************************
  3 // * License and Disclaimer                         3 // * License and Disclaimer                                           *
  4 // *                                                4 // *                                                                  *
  5 // * The  Geant4 software  is  copyright of th      5 // * The  Geant4 software  is  copyright of the Copyright Holders  of *
  6 // * the Geant4 Collaboration.  It is provided      6 // * the Geant4 Collaboration.  It is provided  under  the terms  and *
  7 // * conditions of the Geant4 Software License      7 // * conditions of the Geant4 Software License,  included in the file *
  8 // * LICENSE and available at  http://cern.ch/      8 // * LICENSE and available at  http://cern.ch/geant4/license .  These *
  9 // * include a list of copyright holders.           9 // * include a list of copyright holders.                             *
 10 // *                                               10 // *                                                                  *
 11 // * Neither the authors of this software syst     11 // * Neither the authors of this software system, nor their employing *
 12 // * institutes,nor the agencies providing fin     12 // * institutes,nor the agencies providing financial support for this *
 13 // * work  make  any representation or  warran     13 // * work  make  any representation or  warranty, express or implied, *
 14 // * regarding  this  software system or assum     14 // * regarding  this  software system or assume any liability for its *
 15 // * use.  Please see the license in the file      15 // * use.  Please see the license in the file  LICENSE  and URL above *
 16 // * for the full disclaimer and the limitatio     16 // * for the full disclaimer and the limitation of liability.         *
 17 // *                                               17 // *                                                                  *
 18 // * This  code  implementation is the result      18 // * This  code  implementation is the result of  the  scientific and *
 19 // * technical work of the GEANT4 collaboratio     19 // * technical work of the GEANT4 collaboration.                      *
 20 // * By using,  copying,  modifying or  distri     20 // * By using,  copying,  modifying or  distributing the software (or *
 21 // * any work based  on the software)  you  ag     21 // * any work based  on the software)  you  agree  to acknowledge its *
 22 // * use  in  resulting  scientific  publicati     22 // * use  in  resulting  scientific  publications,  and indicate your *
 23 // * acceptance of all terms of the Geant4 Sof     23 // * acceptance of all terms of the Geant4 Software license.          *
 24 // *******************************************     24 // ********************************************************************
 25 //                                                 25 //
 26 // G4 Polyhedron library                           26 // G4 Polyhedron library
 27 //                                                 27 //
 28 // History:                                        28 // History:
 29 // 23.07.96 E.Chernyaev <Evgueni.Tcherniaev@ce     29 // 23.07.96 E.Chernyaev <Evgueni.Tcherniaev@cern.ch> - initial version
 30 //                                                 30 //
 31 // 30.09.96 E.Chernyaev                            31 // 30.09.96 E.Chernyaev
 32 // - added GetNextVertexIndex, GetVertex by Ya     32 // - added GetNextVertexIndex, GetVertex by Yasuhide Sawada
 33 // - added GetNextUnitNormal, GetNextEdgeIndic     33 // - added GetNextUnitNormal, GetNextEdgeIndices, GetNextEdge
 34 //                                                 34 //
 35 // 15.12.96 E.Chernyaev                            35 // 15.12.96 E.Chernyaev
 36 // - added GetNumberOfRotationSteps, RotateEdg     36 // - added GetNumberOfRotationSteps, RotateEdge, RotateAroundZ, SetReferences
 37 // - rewritten G4PolyhedronCons;                   37 // - rewritten G4PolyhedronCons;
 38 // - added G4PolyhedronPara, ...Trap, ...Pgon,     38 // - added G4PolyhedronPara, ...Trap, ...Pgon, ...Pcon, ...Sphere, ...Torus
 39 //                                                 39 //
 40 // 01.06.97 E.Chernyaev                            40 // 01.06.97 E.Chernyaev
 41 // - modified RotateAroundZ, added SetSideFace     41 // - modified RotateAroundZ, added SetSideFacets
 42 //                                                 42 //
 43 // 19.03.00 E.Chernyaev                            43 // 19.03.00 E.Chernyaev
 44 // - implemented boolean operations (add, subt     44 // - implemented boolean operations (add, subtract, intersect) on polyhedra;
 45 //                                                 45 //
 46 // 25.05.01 E.Chernyaev                            46 // 25.05.01 E.Chernyaev
 47 // - added GetSurfaceArea() and GetVolume()        47 // - added GetSurfaceArea() and GetVolume()
 48 //                                                 48 //
 49 // 05.11.02 E.Chernyaev                            49 // 05.11.02 E.Chernyaev
 50 // - added createTwistedTrap() and createPolyh     50 // - added createTwistedTrap() and createPolyhedron()
 51 //                                                 51 //
 52 // 20.06.05 G.Cosmo                                52 // 20.06.05 G.Cosmo
 53 // - added HepPolyhedronEllipsoid                  53 // - added HepPolyhedronEllipsoid
 54 //                                                 54 //
 55 // 18.07.07 T.Nikitina                             55 // 18.07.07 T.Nikitina
 56 // - added HepPolyhedronParaboloid                 56 // - added HepPolyhedronParaboloid
 57 //                                                 57 //
 58 // 22.02.20 E.Chernyaev                            58 // 22.02.20 E.Chernyaev
 59 // - added HepPolyhedronTet, HepPolyhedronHybe     59 // - added HepPolyhedronTet, HepPolyhedronHyberbolicMirror
 60 //                                                 60 //
 61 // 12.05.21 E.Chernyaev                            61 // 12.05.21 E.Chernyaev
 62 // - added TriangulatePolygon(), RotateContour     62 // - added TriangulatePolygon(), RotateContourAroundZ()
 63 // - added HepPolyhedronPgon, HepPolyhedronPco     63 // - added HepPolyhedronPgon, HepPolyhedronPcon given by rz-contour
 64 //                                                 64 //
 65 // 26.03.22 E.Chernyaev                            65 // 26.03.22 E.Chernyaev
 66 // - added SetVertex(), SetFacet()                 66 // - added SetVertex(), SetFacet()
 67 // - added HepPolyhedronTetMesh                    67 // - added HepPolyhedronTetMesh
 68 //                                                 68 //
 69 // 04.04.22 E.Chernyaev                            69 // 04.04.22 E.Chernyaev
 70 // - added JoinCoplanarFacets()                    70 // - added JoinCoplanarFacets()
 71 //                                                 71 //
 72 // 07.04.22 E.Chernyaev                            72 // 07.04.22 E.Chernyaev
 73 // - added HepPolyhedronBoxMesh                    73 // - added HepPolyhedronBoxMesh
 74                                                    74 
 75 #include "HepPolyhedron.h"                         75 #include "HepPolyhedron.h"
 76 #include "G4PhysicalConstants.hh"                  76 #include "G4PhysicalConstants.hh"
 77 #include "G4Vector3D.hh"                           77 #include "G4Vector3D.hh"
 78                                                    78 
 79 #include <cstdlib>  // Required on some compil     79 #include <cstdlib>  // Required on some compilers for std::abs(int) ...
 80 #include <cmath>                                   80 #include <cmath>
 81 #include <algorithm>                               81 #include <algorithm>
 82                                                    82 
 83 using CLHEP::perMillion;                           83 using CLHEP::perMillion;
 84 using CLHEP::deg;                                  84 using CLHEP::deg;
 85 using CLHEP::pi;                                   85 using CLHEP::pi;
 86 using CLHEP::twopi;                                86 using CLHEP::twopi;
 87 using CLHEP::nm;                                   87 using CLHEP::nm;
 88 const G4double spatialTolerance = 0.01*nm;         88 const G4double spatialTolerance = 0.01*nm;
 89                                                    89 
 90 /*********************************************     90 /***********************************************************************
 91  *                                                 91  *                                                                     *
 92  * Name: HepPolyhedron operator <<                 92  * Name: HepPolyhedron operator <<                   Date:    09.05.96 *
 93  * Author: E.Chernyaev (IHEP/Protvino)             93  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
 94  *                                                 94  *                                                                     *
 95  * Function: Print contents of G4 polyhedron       95  * Function: Print contents of G4 polyhedron                           *
 96  *                                                 96  *                                                                     *
 97  *********************************************     97  ***********************************************************************/
 98 std::ostream & operator<<(std::ostream & ostr,     98 std::ostream & operator<<(std::ostream & ostr, const G4Facet & facet) {
 99   for (const auto& edge : facet.edge) {            99   for (const auto& edge : facet.edge) {
100     ostr << " " << edge.v << "/" << edge.f;       100     ostr << " " << edge.v << "/" << edge.f;
101   }                                               101   }
102   return ostr;                                    102   return ostr;
103 }                                                 103 }
104                                                   104 
105 std::ostream & operator<<(std::ostream & ostr,    105 std::ostream & operator<<(std::ostream & ostr, const HepPolyhedron & ph) {
106   ostr << std::endl;                              106   ostr << std::endl;
107   ostr << "Nvertices=" << ph.nvert << ", Nface    107   ostr << "Nvertices=" << ph.nvert << ", Nfacets=" << ph.nface << std::endl;
108   G4int i;                                        108   G4int i;
109   for (i=1; i<=ph.nvert; i++) {                   109   for (i=1; i<=ph.nvert; i++) {
110      ostr << "xyz(" << i << ")="                  110      ostr << "xyz(" << i << ")="
111           << ph.pV[i].x() << ' ' << ph.pV[i].y    111           << ph.pV[i].x() << ' ' << ph.pV[i].y() << ' ' << ph.pV[i].z()
112           << std::endl;                           112           << std::endl;
113   }                                               113   }
114   for (i=1; i<=ph.nface; i++) {                   114   for (i=1; i<=ph.nface; i++) {
115     ostr << "face(" << i << ")=" << ph.pF[i] <    115     ostr << "face(" << i << ")=" << ph.pF[i] << std::endl;
116   }                                               116   }
117   return ostr;                                    117   return ostr;
118 }                                                 118 }
119                                                   119 
120 HepPolyhedron::HepPolyhedron(G4int Nvert, G4in    120 HepPolyhedron::HepPolyhedron(G4int Nvert, G4int Nface)
121 /*********************************************    121 /***********************************************************************
122  *                                                122  *                                                                     *
123  * Name: HepPolyhedron constructor with           123  * Name: HepPolyhedron constructor with           Date:    26.03.2022  *
124  *       allocation of memory                     124  *       allocation of memory                     Revised:             *
125  * Author: E.Tcherniaev (E.Chernyaev)             125  * Author: E.Tcherniaev (E.Chernyaev)                                  *
126  *                                                126  *                                                                     *
127  *********************************************    127  ***********************************************************************/
128 : nvert(0), nface(0), pV(nullptr), pF(nullptr)    128 : nvert(0), nface(0), pV(nullptr), pF(nullptr)
129 {                                                 129 {
130   AllocateMemory(Nvert, Nface);                   130   AllocateMemory(Nvert, Nface);
131 }                                                 131 }
132                                                   132 
133 HepPolyhedron::HepPolyhedron(const HepPolyhedr    133 HepPolyhedron::HepPolyhedron(const HepPolyhedron &from)
134 /*********************************************    134 /***********************************************************************
135  *                                                135  *                                                                     *
136  * Name: HepPolyhedron copy constructor           136  * Name: HepPolyhedron copy constructor             Date:    23.07.96  *
137  * Author: E.Chernyaev (IHEP/Protvino)            137  * Author: E.Chernyaev (IHEP/Protvino)              Revised:           *
138  *                                                138  *                                                                     *
139  *********************************************    139  ***********************************************************************/
140 : nvert(0), nface(0), pV(nullptr), pF(nullptr)    140 : nvert(0), nface(0), pV(nullptr), pF(nullptr)
141 {                                                 141 {
142   AllocateMemory(from.nvert, from.nface);         142   AllocateMemory(from.nvert, from.nface);
143   for (G4int i=1; i<=nvert; i++) pV[i] = from.    143   for (G4int i=1; i<=nvert; i++) pV[i] = from.pV[i];
144   for (G4int k=1; k<=nface; k++) pF[k] = from.    144   for (G4int k=1; k<=nface; k++) pF[k] = from.pF[k];
145 }                                                 145 }
146                                                   146 
147 HepPolyhedron::HepPolyhedron(HepPolyhedron&& f    147 HepPolyhedron::HepPolyhedron(HepPolyhedron&& from)
148 /*********************************************    148 /***********************************************************************
149  *                                                149  *                                                                     *
150  * Name: HepPolyhedron move constructor           150  * Name: HepPolyhedron move constructor           Date:    04.11.2019  *
151  * Author: E.Tcherniaev (E.Chernyaev)             151  * Author: E.Tcherniaev (E.Chernyaev)             Revised:             *
152  *                                                152  *                                                                     *
153  *********************************************    153  ***********************************************************************/
154 : nvert(0), nface(0), pV(nullptr), pF(nullptr)    154 : nvert(0), nface(0), pV(nullptr), pF(nullptr)
155 {                                                 155 {
156   nvert = from.nvert;                             156   nvert = from.nvert;
157   nface = from.nface;                             157   nface = from.nface;
158   pV = from.pV;                                   158   pV = from.pV;
159   pF = from.pF;                                   159   pF = from.pF;
160                                                   160 
161   // Release the data from the source object      161   // Release the data from the source object
162   from.nvert = 0;                                 162   from.nvert = 0;
163   from.nface = 0;                                 163   from.nface = 0;
164   from.pV = nullptr;                              164   from.pV = nullptr;
165   from.pF = nullptr;                              165   from.pF = nullptr;
166 }                                                 166 }
167                                                   167 
168 HepPolyhedron & HepPolyhedron::operator=(const    168 HepPolyhedron & HepPolyhedron::operator=(const HepPolyhedron &from)
169 /*********************************************    169 /***********************************************************************
170  *                                                170  *                                                                     *
171  * Name: HepPolyhedron operator =                 171  * Name: HepPolyhedron operator =                   Date:    23.07.96  *
172  * Author: E.Chernyaev (IHEP/Protvino)            172  * Author: E.Chernyaev (IHEP/Protvino)              Revised:           *
173  *                                                173  *                                                                     *
174  * Function: Copy contents of one polyhedron t    174  * Function: Copy contents of one polyhedron to another                *
175  *                                                175  *                                                                     *
176  *********************************************    176  ***********************************************************************/
177 {                                                 177 {
178   if (this != &from) {                            178   if (this != &from) {
179     AllocateMemory(from.nvert, from.nface);       179     AllocateMemory(from.nvert, from.nface);
180     for (G4int i=1; i<=nvert; i++) pV[i] = fro    180     for (G4int i=1; i<=nvert; i++) pV[i] = from.pV[i];
181     for (G4int k=1; k<=nface; k++) pF[k] = fro    181     for (G4int k=1; k<=nface; k++) pF[k] = from.pF[k];
182   }                                               182   }
183   return *this;                                   183   return *this;
184 }                                                 184 }
185                                                   185 
186 HepPolyhedron & HepPolyhedron::operator=(HepPo    186 HepPolyhedron & HepPolyhedron::operator=(HepPolyhedron&& from)
187 /*********************************************    187 /***********************************************************************
188  *                                                188  *                                                                     *
189  * Name: HepPolyhedron move operator =            189  * Name: HepPolyhedron move operator =              Date:   04.11.2019 *
190  * Author: E.Tcherniaev (E.Chernyaev)             190  * Author: E.Tcherniaev (E.Chernyaev)               Revised:           *
191  *                                                191  *                                                                     *
192  * Function: Move contents of one polyhedron t    192  * Function: Move contents of one polyhedron to another                *
193  *                                                193  *                                                                     *
194  *********************************************    194  ***********************************************************************/
195 {                                                 195 {
196   if (this != &from) {                            196   if (this != &from) {
197     delete [] pV;                                 197     delete [] pV;
198     delete [] pF;                                 198     delete [] pF;
199     nvert = from.nvert;                           199     nvert = from.nvert;
200     nface = from.nface;                           200     nface = from.nface;
201     pV = from.pV;                                 201     pV = from.pV;
202     pF = from.pF;                                 202     pF = from.pF;
203                                                   203 
204     // Release the data from the source object    204     // Release the data from the source object
205     from.nvert = 0;                               205     from.nvert = 0;
206     from.nface = 0;                               206     from.nface = 0;
207     from.pV = nullptr;                            207     from.pV = nullptr;
208     from.pF = nullptr;                            208     from.pF = nullptr;
209   }                                               209   }
210   return *this;                                   210   return *this;
211 }                                                 211 }
212                                                   212 
213 G4int                                             213 G4int
214 HepPolyhedron::FindNeighbour(G4int iFace, G4in    214 HepPolyhedron::FindNeighbour(G4int iFace, G4int iNode, G4int iOrder) const
215 /*********************************************    215 /***********************************************************************
216  *                                                216  *                                                                     *
217  * Name: HepPolyhedron::FindNeighbour             217  * Name: HepPolyhedron::FindNeighbour                Date:    22.11.99 *
218  * Author: E.Chernyaev                            218  * Author: E.Chernyaev                               Revised:          *
219  *                                                219  *                                                                     *
220  * Function: Find neighbouring face               220  * Function: Find neighbouring face                                    *
221  *                                                221  *                                                                     *
222  *********************************************    222  ***********************************************************************/
223 {                                                 223 {
224   G4int i;                                        224   G4int i;
225   for (i=0; i<4; i++) {                           225   for (i=0; i<4; i++) {
226     if (iNode == std::abs(pF[iFace].edge[i].v)    226     if (iNode == std::abs(pF[iFace].edge[i].v)) break;
227   }                                               227   }
228   if (i == 4) {                                   228   if (i == 4) {
229     std::cerr                                     229     std::cerr
230       << "HepPolyhedron::FindNeighbour: face "    230       << "HepPolyhedron::FindNeighbour: face " << iFace
231       << " has no node " << iNode                 231       << " has no node " << iNode
232       << std::endl;                               232       << std::endl;
233     return 0;                                     233     return 0;
234   }                                               234   }
235   if (iOrder < 0) {                               235   if (iOrder < 0) {
236     if ( --i < 0) i = 3;                          236     if ( --i < 0) i = 3;
237     if (pF[iFace].edge[i].v == 0) i = 2;          237     if (pF[iFace].edge[i].v == 0) i = 2;
238   }                                               238   }
239   return (pF[iFace].edge[i].v > 0) ? 0 : pF[iF    239   return (pF[iFace].edge[i].v > 0) ? 0 : pF[iFace].edge[i].f;
240 }                                                 240 }
241                                                   241 
242 G4Normal3D HepPolyhedron::FindNodeNormal(G4int    242 G4Normal3D HepPolyhedron::FindNodeNormal(G4int iFace, G4int iNode) const
243 /*********************************************    243 /***********************************************************************
244  *                                                244  *                                                                     *
245  * Name: HepPolyhedron::FindNodeNormal            245  * Name: HepPolyhedron::FindNodeNormal               Date:    22.11.99 *
246  * Author: E.Chernyaev                            246  * Author: E.Chernyaev                               Revised:          *
247  *                                                247  *                                                                     *
248  * Function: Find normal at given node            248  * Function: Find normal at given node                                 *
249  *                                                249  *                                                                     *
250  *********************************************    250  ***********************************************************************/
251 {                                                 251 {
252   G4Normal3D normal = GetUnitNormal(iFace);       252   G4Normal3D normal = GetUnitNormal(iFace);
253   G4int      k = iFace, iOrder = 1;               253   G4int      k = iFace, iOrder = 1;
254                                                   254 
255   for(;;) {                                       255   for(;;) {
256     k = FindNeighbour(k, iNode, iOrder);          256     k = FindNeighbour(k, iNode, iOrder);
257     if (k == iFace) break;                        257     if (k == iFace) break;
258     if (k > 0) {                                  258     if (k > 0) {
259       normal += GetUnitNormal(k);                 259       normal += GetUnitNormal(k);
260     }else{                                        260     }else{
261       if (iOrder < 0) break;                      261       if (iOrder < 0) break;
262       k = iFace;                                  262       k = iFace;
263       iOrder = -iOrder;                           263       iOrder = -iOrder;
264     }                                             264     }
265   }                                               265   }
266   return normal.unit();                           266   return normal.unit();
267 }                                                 267 }
268                                                   268 
269 G4int HepPolyhedron::GetNumberOfRotationSteps(    269 G4int HepPolyhedron::GetNumberOfRotationSteps()
270 /*********************************************    270 /***********************************************************************
271  *                                                271  *                                                                     *
272  * Name: HepPolyhedron::GetNumberOfRotationSte    272  * Name: HepPolyhedron::GetNumberOfRotationSteps     Date:    24.06.97 *
273  * Author: J.Allison (Manchester University)      273  * Author: J.Allison (Manchester University)         Revised:          *
274  *                                                274  *                                                                     *
275  * Function: Get number of steps for whole cir    275  * Function: Get number of steps for whole circle                      *
276  *                                                276  *                                                                     *
277  *********************************************    277  ***********************************************************************/
278 {                                                 278 {
279   return fNumberOfRotationSteps;                  279   return fNumberOfRotationSteps;
280 }                                                 280 }
281                                                   281 
282 void HepPolyhedron::SetVertex(G4int index, con    282 void HepPolyhedron::SetVertex(G4int index, const G4Point3D& v)
283 /*********************************************    283 /***********************************************************************
284  *                                                284  *                                                                     *
285  * Name: HepPolyhedron::SetVertex                 285  * Name: HepPolyhedron::SetVertex                    Date:    26.03.22 *
286  * Author: E.Tcherniaev (E.Chernyaev)             286  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
287  *                                                287  *                                                                     *
288  * Function: Set vertex                           288  * Function: Set vertex                                                *
289  *                                                289  *                                                                     *
290  *********************************************    290  ***********************************************************************/
291 {                                                 291 {
292   if (index < 1 || index > nvert)                 292   if (index < 1 || index > nvert)
293   {                                               293   {
294     std::cerr                                     294     std::cerr
295       << "HepPolyhedron::SetVertex: vertex ind    295       << "HepPolyhedron::SetVertex: vertex index = " << index
296       << " is out of range\n"                     296       << " is out of range\n"
297       << "   N. of vertices = " << nvert << "\    297       << "   N. of vertices = " << nvert << "\n"
298       << "   N. of facets = " << nface << std:    298       << "   N. of facets = " << nface << std::endl;
299     return;                                       299     return;
300   }                                               300   }
301   pV[index] = v;                                  301   pV[index] = v;
302 }                                                 302 }
303                                                   303 
304 void                                              304 void
305 HepPolyhedron::SetFacet(G4int index, G4int iv1    305 HepPolyhedron::SetFacet(G4int index, G4int iv1, G4int iv2, G4int iv3, G4int iv4)
306 /*********************************************    306 /***********************************************************************
307  *                                                307  *                                                                     *
308  * Name: HepPolyhedron::SetFacet                  308  * Name: HepPolyhedron::SetFacet                     Date:    26.03.22 *
309  * Author: E.Tcherniaev (E.Chernyaev)             309  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
310  *                                                310  *                                                                     *
311  * Function: Set facet                            311  * Function: Set facet                                                *
312  *                                                312  *                                                                     *
313  *********************************************    313  ***********************************************************************/
314 {                                                 314 {
315   if (index < 1 || index > nface)                 315   if (index < 1 || index > nface)
316   {                                               316   {
317     std::cerr                                     317     std::cerr
318       << "HepPolyhedron::SetFacet: facet index    318       << "HepPolyhedron::SetFacet: facet index = " << index
319       << " is out of range\n"                     319       << " is out of range\n"
320       << "   N. of vertices = " << nvert << "\    320       << "   N. of vertices = " << nvert << "\n"
321       << "   N. of facets = " << nface << std:    321       << "   N. of facets = " << nface << std::endl;
322     return;                                       322     return;
323   }                                               323   }
324   if (iv1 < 1 || iv1 > nvert ||                   324   if (iv1 < 1 || iv1 > nvert ||
325       iv2 < 1 || iv2 > nvert ||                   325       iv2 < 1 || iv2 > nvert ||
326       iv3 < 1 || iv3 > nvert ||                   326       iv3 < 1 || iv3 > nvert ||
327       iv4 < 0 || iv4 > nvert)                     327       iv4 < 0 || iv4 > nvert)
328   {                                               328   {
329     std::cerr                                     329     std::cerr
330       << "HepPolyhedron::SetFacet: incorrectly    330       << "HepPolyhedron::SetFacet: incorrectly specified facet"
331       << " (" << iv1 << ", " << iv2 << ", " <<    331       << " (" << iv1 << ", " << iv2 << ", " << iv3 << ", " << iv4 << ")\n"
332       << "   N. of vertices = " << nvert << "\    332       << "   N. of vertices = " << nvert << "\n"
333       << "   N. of facets = " << nface << std:    333       << "   N. of facets = " << nface << std::endl;
334     return;                                       334     return;
335   }                                               335   }
336   pF[index] = G4Facet(iv1, 0, iv2, 0, iv3, 0,     336   pF[index] = G4Facet(iv1, 0, iv2, 0, iv3, 0, iv4, 0);
337 }                                                 337 }
338                                                   338 
339 void HepPolyhedron::SetNumberOfRotationSteps(G    339 void HepPolyhedron::SetNumberOfRotationSteps(G4int n)
340 /*********************************************    340 /***********************************************************************
341  *                                                341  *                                                                     *
342  * Name: HepPolyhedron::SetNumberOfRotationSte    342  * Name: HepPolyhedron::SetNumberOfRotationSteps     Date:    24.06.97 *
343  * Author: J.Allison (Manchester University)      343  * Author: J.Allison (Manchester University)         Revised:          *
344  *                                                344  *                                                                     *
345  * Function: Set number of steps for whole cir    345  * Function: Set number of steps for whole circle                      *
346  *                                                346  *                                                                     *
347  *********************************************    347  ***********************************************************************/
348 {                                                 348 {
349   const G4int nMin = 3;                           349   const G4int nMin = 3;
350   if (n < nMin) {                                 350   if (n < nMin) {
351     std::cerr                                     351     std::cerr
352       << "HepPolyhedron::SetNumberOfRotationSt    352       << "HepPolyhedron::SetNumberOfRotationSteps: attempt to set the\n"
353       << "number of steps per circle < " << nM    353       << "number of steps per circle < " << nMin << "; forced to " << nMin
354       << std::endl;                               354       << std::endl;
355     fNumberOfRotationSteps = nMin;                355     fNumberOfRotationSteps = nMin;
356   }else{                                          356   }else{
357     fNumberOfRotationSteps = n;                   357     fNumberOfRotationSteps = n;
358   }                                               358   }
359 }                                                 359 }
360                                                   360 
361 void HepPolyhedron::ResetNumberOfRotationSteps    361 void HepPolyhedron::ResetNumberOfRotationSteps()
362 /*********************************************    362 /***********************************************************************
363  *                                                363  *                                                                     *
364  * Name: HepPolyhedron::GetNumberOfRotationSte    364  * Name: HepPolyhedron::GetNumberOfRotationSteps     Date:    24.06.97 *
365  * Author: J.Allison (Manchester University)      365  * Author: J.Allison (Manchester University)         Revised:          *
366  *                                                366  *                                                                     *
367  * Function: Reset number of steps for whole c    367  * Function: Reset number of steps for whole circle to default value   *
368  *                                                368  *                                                                     *
369  *********************************************    369  ***********************************************************************/
370 {                                                 370 {
371   fNumberOfRotationSteps = DEFAULT_NUMBER_OF_S    371   fNumberOfRotationSteps = DEFAULT_NUMBER_OF_STEPS;
372 }                                                 372 }
373                                                   373 
374 void HepPolyhedron::AllocateMemory(G4int Nvert    374 void HepPolyhedron::AllocateMemory(G4int Nvert, G4int Nface)
375 /*********************************************    375 /***********************************************************************
376  *                                                376  *                                                                     *
377  * Name: HepPolyhedron::AllocateMemory            377  * Name: HepPolyhedron::AllocateMemory               Date:    19.06.96 *
378  * Author: E.Chernyaev (IHEP/Protvino)            378  * Author: E.Chernyaev (IHEP/Protvino)               Revised: 05.11.02 *
379  *                                                379  *                                                                     *
380  * Function: Allocate memory for GEANT4 polyhe    380  * Function: Allocate memory for GEANT4 polyhedron                     *
381  *                                                381  *                                                                     *
382  * Input: Nvert - number of nodes                 382  * Input: Nvert - number of nodes                                      *
383  *        Nface - number of faces                 383  *        Nface - number of faces                                      *
384  *                                                384  *                                                                     *
385  *********************************************    385  ***********************************************************************/
386 {                                                 386 {
387   if (nvert == Nvert && nface == Nface) return    387   if (nvert == Nvert && nface == Nface) return;
388   delete [] pV;                                   388   delete [] pV;
389   delete [] pF;                                   389   delete [] pF;
390   if (Nvert > 0 && Nface > 0) {                   390   if (Nvert > 0 && Nface > 0) {
391     nvert = Nvert;                                391     nvert = Nvert;
392     nface = Nface;                                392     nface = Nface;
393     pV    = new G4Point3D[nvert+1];               393     pV    = new G4Point3D[nvert+1];
394     pF    = new G4Facet[nface+1];                 394     pF    = new G4Facet[nface+1];
395   }else{                                          395   }else{
396     nvert = 0; nface = 0; pV = nullptr; pF = n    396     nvert = 0; nface = 0; pV = nullptr; pF = nullptr;
397   }                                               397   }
398 }                                                 398 }
399                                                   399 
400 void HepPolyhedron::CreatePrism()                 400 void HepPolyhedron::CreatePrism()
401 /*********************************************    401 /***********************************************************************
402  *                                                402  *                                                                     *
403  * Name: HepPolyhedron::CreatePrism               403  * Name: HepPolyhedron::CreatePrism                  Date:    15.07.96 *
404  * Author: E.Chernyaev (IHEP/Protvino)            404  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
405  *                                                405  *                                                                     *
406  * Function: Set facets for a prism               406  * Function: Set facets for a prism                                    *
407  *                                                407  *                                                                     *
408  *********************************************    408  ***********************************************************************/
409 {                                                 409 {
410   enum {DUMMY, BOTTOM, LEFT, BACK, RIGHT, FRON    410   enum {DUMMY, BOTTOM, LEFT, BACK, RIGHT, FRONT, TOP};
411                                                   411 
412   pF[1] = G4Facet(1,LEFT,  4,BACK,  3,RIGHT,      412   pF[1] = G4Facet(1,LEFT,  4,BACK,  3,RIGHT,  2,FRONT);
413   pF[2] = G4Facet(5,TOP,   8,BACK,  4,BOTTOM,     413   pF[2] = G4Facet(5,TOP,   8,BACK,  4,BOTTOM, 1,FRONT);
414   pF[3] = G4Facet(8,TOP,   7,RIGHT, 3,BOTTOM,     414   pF[3] = G4Facet(8,TOP,   7,RIGHT, 3,BOTTOM, 4,LEFT);
415   pF[4] = G4Facet(7,TOP,   6,FRONT, 2,BOTTOM,     415   pF[4] = G4Facet(7,TOP,   6,FRONT, 2,BOTTOM, 3,BACK);
416   pF[5] = G4Facet(6,TOP,   5,LEFT,  1,BOTTOM,     416   pF[5] = G4Facet(6,TOP,   5,LEFT,  1,BOTTOM, 2,RIGHT);
417   pF[6] = G4Facet(5,FRONT, 6,RIGHT, 7,BACK,       417   pF[6] = G4Facet(5,FRONT, 6,RIGHT, 7,BACK,   8,LEFT);
418 }                                                 418 }
419                                                   419 
420 void HepPolyhedron::RotateEdge(G4int k1, G4int    420 void HepPolyhedron::RotateEdge(G4int k1, G4int k2, G4double r1, G4double r2,
421                               G4int v1, G4int     421                               G4int v1, G4int v2, G4int vEdge,
422                               G4bool ifWholeCi    422                               G4bool ifWholeCircle, G4int nds, G4int &kface)
423 /*********************************************    423 /***********************************************************************
424  *                                                424  *                                                                     *
425  * Name: HepPolyhedron::RotateEdge                425  * Name: HepPolyhedron::RotateEdge                   Date:    05.12.96 *
426  * Author: E.Chernyaev (IHEP/Protvino)            426  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
427  *                                                427  *                                                                     *
428  * Function: Create set of facets by rotation     428  * Function: Create set of facets by rotation of an edge around Z-axis *
429  *                                                429  *                                                                     *
430  * Input: k1, k2 - end vertices of the edge       430  * Input: k1, k2 - end vertices of the edge                            *
431  *        r1, r2 - radiuses of the end vertice    431  *        r1, r2 - radiuses of the end vertices                        *
432  *        v1, v2 - visibility of edges produce    432  *        v1, v2 - visibility of edges produced by rotation of the end *
433  *                 vertices                       433  *                 vertices                                            *
434  *        vEdge  - visibility of the edge         434  *        vEdge  - visibility of the edge                              *
435  *        ifWholeCircle - is true in case of w    435  *        ifWholeCircle - is true in case of whole circle rotation     *
436  *        nds    - number of discrete steps       436  *        nds    - number of discrete steps                            *
437  *        r[]    - r-coordinates                  437  *        r[]    - r-coordinates                                       *
438  *        kface  - current free cell in the pF    438  *        kface  - current free cell in the pF array                   *
439  *                                                439  *                                                                     *
440  *********************************************    440  ***********************************************************************/
441 {                                                 441 {
442   if (r1 == 0. && r2 == 0.) return;               442   if (r1 == 0. && r2 == 0.) return;
443                                                   443 
444   G4int i;                                        444   G4int i;
445   G4int i1  = k1;                                 445   G4int i1  = k1;
446   G4int i2  = k2;                                 446   G4int i2  = k2;
447   G4int ii1 = ifWholeCircle ? i1 : i1+nds;        447   G4int ii1 = ifWholeCircle ? i1 : i1+nds;
448   G4int ii2 = ifWholeCircle ? i2 : i2+nds;        448   G4int ii2 = ifWholeCircle ? i2 : i2+nds;
449   G4int vv  = ifWholeCircle ? vEdge : 1;          449   G4int vv  = ifWholeCircle ? vEdge : 1;
450                                                   450 
451   if (nds == 1) {                                 451   if (nds == 1) {
452     if (r1 == 0.) {                               452     if (r1 == 0.) {
453       pF[kface++]   = G4Facet(i1,0,    v2*i2,0    453       pF[kface++]   = G4Facet(i1,0,    v2*i2,0, (i2+1),0);
454     }else if (r2 == 0.) {                         454     }else if (r2 == 0.) {
455       pF[kface++]   = G4Facet(i1,0,    i2,0,      455       pF[kface++]   = G4Facet(i1,0,    i2,0,    v1*(i1+1),0);
456     }else{                                        456     }else{
457       pF[kface++]   = G4Facet(i1,0,    v2*i2,0    457       pF[kface++]   = G4Facet(i1,0,    v2*i2,0, (i2+1),0, v1*(i1+1),0);
458     }                                             458     }
459   }else{                                          459   }else{
460     if (r1 == 0.) {                               460     if (r1 == 0.) {
461       pF[kface++]   = G4Facet(vv*i1,0,    v2*i    461       pF[kface++]   = G4Facet(vv*i1,0,    v2*i2,0, vEdge*(i2+1),0);
462       for (i2++,i=1; i<nds-1; i2++,i++) {         462       for (i2++,i=1; i<nds-1; i2++,i++) {
463         pF[kface++] = G4Facet(vEdge*i1,0, v2*i    463         pF[kface++] = G4Facet(vEdge*i1,0, v2*i2,0, vEdge*(i2+1),0);
464       }                                           464       }
465       pF[kface++]   = G4Facet(vEdge*i1,0, v2*i    465       pF[kface++]   = G4Facet(vEdge*i1,0, v2*i2,0, vv*ii2,0);
466     }else if (r2 == 0.) {                         466     }else if (r2 == 0.) {
467       pF[kface++]   = G4Facet(vv*i1,0,    vEdg    467       pF[kface++]   = G4Facet(vv*i1,0,    vEdge*i2,0, v1*(i1+1),0);
468       for (i1++,i=1; i<nds-1; i1++,i++) {         468       for (i1++,i=1; i<nds-1; i1++,i++) {
469         pF[kface++] = G4Facet(vEdge*i1,0, vEdg    469         pF[kface++] = G4Facet(vEdge*i1,0, vEdge*i2,0, v1*(i1+1),0);
470       }                                           470       }
471       pF[kface++]   = G4Facet(vEdge*i1,0, vv*i    471       pF[kface++]   = G4Facet(vEdge*i1,0, vv*i2,0,    v1*ii1,0);
472     }else{                                        472     }else{
473       pF[kface++]   = G4Facet(vv*i1,0,    v2*i    473       pF[kface++]   = G4Facet(vv*i1,0,    v2*i2,0, vEdge*(i2+1),0,v1*(i1+1),0);
474       for (i1++,i2++,i=1; i<nds-1; i1++,i2++,i    474       for (i1++,i2++,i=1; i<nds-1; i1++,i2++,i++) {
475         pF[kface++] = G4Facet(vEdge*i1,0, v2*i    475         pF[kface++] = G4Facet(vEdge*i1,0, v2*i2,0, vEdge*(i2+1),0,v1*(i1+1),0);
476       }                                           476       }
477       pF[kface++]   = G4Facet(vEdge*i1,0, v2*i    477       pF[kface++]   = G4Facet(vEdge*i1,0, v2*i2,0, vv*ii2,0,      v1*ii1,0);
478     }                                             478     }
479   }                                               479   }
480 }                                                 480 }
481                                                   481 
482 void HepPolyhedron::SetSideFacets(G4int ii[4],    482 void HepPolyhedron::SetSideFacets(G4int ii[4], G4int vv[4],
483                                  G4int *kk, G4    483                                  G4int *kk, G4double *r,
484                                  G4double dphi    484                                  G4double dphi, G4int nds, G4int &kface)
485 /*********************************************    485 /***********************************************************************
486  *                                                486  *                                                                     *
487  * Name: HepPolyhedron::SetSideFacets             487  * Name: HepPolyhedron::SetSideFacets                Date:    20.05.97 *
488  * Author: E.Chernyaev (IHEP/Protvino)            488  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
489  *                                                489  *                                                                     *
490  * Function: Set side facets for the case of i    490  * Function: Set side facets for the case of incomplete rotation       *
491  *                                                491  *                                                                     *
492  * Input: ii[4] - indices of original vertices    492  * Input: ii[4] - indices of original vertices                         *
493  *        vv[4] - visibility of edges             493  *        vv[4] - visibility of edges                                  *
494  *        kk[]  - indices of nodes                494  *        kk[]  - indices of nodes                                     *
495  *        r[]   - radiuses                        495  *        r[]   - radiuses                                             *
496  *        dphi  - delta phi                       496  *        dphi  - delta phi                                            *
497  *        nds    - number of discrete steps       497  *        nds    - number of discrete steps                            *
498  *        kface  - current free cell in the pF    498  *        kface  - current free cell in the pF array                   *
499  *                                                499  *                                                                     *
500  *********************************************    500  ***********************************************************************/
501 {                                                 501 {
502   G4int k1, k2, k3, k4;                           502   G4int k1, k2, k3, k4;
503                                                   503 
504   if (std::abs(dphi-pi) < perMillion) { // hal    504   if (std::abs(dphi-pi) < perMillion) { // half a circle
505     for (G4int i=0; i<4; i++) {                   505     for (G4int i=0; i<4; i++) {
506       k1 = ii[i];                                 506       k1 = ii[i];
507       k2 = ii[(i+1)%4];                           507       k2 = ii[(i+1)%4];
508       if (r[k1] == 0. && r[k2] == 0.) vv[i] =     508       if (r[k1] == 0. && r[k2] == 0.) vv[i] = -1;
509     }                                             509     }
510   }                                               510   }
511                                                   511 
512   if (ii[1] == ii[2]) {                           512   if (ii[1] == ii[2]) {
513     k1 = kk[ii[0]];                               513     k1 = kk[ii[0]];
514     k2 = kk[ii[2]];                               514     k2 = kk[ii[2]];
515     k3 = kk[ii[3]];                               515     k3 = kk[ii[3]];
516     pF[kface++] = G4Facet(vv[0]*k1,0, vv[2]*k2    516     pF[kface++] = G4Facet(vv[0]*k1,0, vv[2]*k2,0, vv[3]*k3,0);
517     if (r[ii[0]] != 0.) k1 += nds;                517     if (r[ii[0]] != 0.) k1 += nds;
518     if (r[ii[2]] != 0.) k2 += nds;                518     if (r[ii[2]] != 0.) k2 += nds;
519     if (r[ii[3]] != 0.) k3 += nds;                519     if (r[ii[3]] != 0.) k3 += nds;
520     pF[kface++] = G4Facet(vv[2]*k3,0, vv[0]*k2    520     pF[kface++] = G4Facet(vv[2]*k3,0, vv[0]*k2,0, vv[3]*k1,0);
521   }else if (kk[ii[0]] == kk[ii[1]]) {             521   }else if (kk[ii[0]] == kk[ii[1]]) {
522     k1 = kk[ii[0]];                               522     k1 = kk[ii[0]];
523     k2 = kk[ii[2]];                               523     k2 = kk[ii[2]];
524     k3 = kk[ii[3]];                               524     k3 = kk[ii[3]];
525     pF[kface++] = G4Facet(vv[1]*k1,0, vv[2]*k2    525     pF[kface++] = G4Facet(vv[1]*k1,0, vv[2]*k2,0, vv[3]*k3,0);
526     if (r[ii[0]] != 0.) k1 += nds;                526     if (r[ii[0]] != 0.) k1 += nds;
527     if (r[ii[2]] != 0.) k2 += nds;                527     if (r[ii[2]] != 0.) k2 += nds;
528     if (r[ii[3]] != 0.) k3 += nds;                528     if (r[ii[3]] != 0.) k3 += nds;
529     pF[kface++] = G4Facet(vv[2]*k3,0, vv[1]*k2    529     pF[kface++] = G4Facet(vv[2]*k3,0, vv[1]*k2,0, vv[3]*k1,0);
530   }else if (kk[ii[2]] == kk[ii[3]]) {             530   }else if (kk[ii[2]] == kk[ii[3]]) {
531     k1 = kk[ii[0]];                               531     k1 = kk[ii[0]];
532     k2 = kk[ii[1]];                               532     k2 = kk[ii[1]];
533     k3 = kk[ii[2]];                               533     k3 = kk[ii[2]];
534     pF[kface++] = G4Facet(vv[0]*k1,0, vv[1]*k2    534     pF[kface++] = G4Facet(vv[0]*k1,0, vv[1]*k2,0, vv[3]*k3,0);
535     if (r[ii[0]] != 0.) k1 += nds;                535     if (r[ii[0]] != 0.) k1 += nds;
536     if (r[ii[1]] != 0.) k2 += nds;                536     if (r[ii[1]] != 0.) k2 += nds;
537     if (r[ii[2]] != 0.) k3 += nds;                537     if (r[ii[2]] != 0.) k3 += nds;
538     pF[kface++] = G4Facet(vv[1]*k3,0, vv[0]*k2    538     pF[kface++] = G4Facet(vv[1]*k3,0, vv[0]*k2,0, vv[3]*k1,0);
539   }else{                                          539   }else{
540     k1 = kk[ii[0]];                               540     k1 = kk[ii[0]];
541     k2 = kk[ii[1]];                               541     k2 = kk[ii[1]];
542     k3 = kk[ii[2]];                               542     k3 = kk[ii[2]];
543     k4 = kk[ii[3]];                               543     k4 = kk[ii[3]];
544     pF[kface++] = G4Facet(vv[0]*k1,0, vv[1]*k2    544     pF[kface++] = G4Facet(vv[0]*k1,0, vv[1]*k2,0, vv[2]*k3,0, vv[3]*k4,0);
545     if (r[ii[0]] != 0.) k1 += nds;                545     if (r[ii[0]] != 0.) k1 += nds;
546     if (r[ii[1]] != 0.) k2 += nds;                546     if (r[ii[1]] != 0.) k2 += nds;
547     if (r[ii[2]] != 0.) k3 += nds;                547     if (r[ii[2]] != 0.) k3 += nds;
548     if (r[ii[3]] != 0.) k4 += nds;                548     if (r[ii[3]] != 0.) k4 += nds;
549     pF[kface++] = G4Facet(vv[2]*k4,0, vv[1]*k3    549     pF[kface++] = G4Facet(vv[2]*k4,0, vv[1]*k3,0, vv[0]*k2,0, vv[3]*k1,0);
550   }                                               550   }
551 }                                                 551 }
552                                                   552 
553 void HepPolyhedron::RotateAroundZ(G4int nstep,    553 void HepPolyhedron::RotateAroundZ(G4int nstep, G4double phi, G4double dphi,
554                                  G4int np1, G4    554                                  G4int np1, G4int np2,
555                                  const G4doubl    555                                  const G4double *z, G4double *r,
556                                  G4int nodeVis    556                                  G4int nodeVis, G4int edgeVis)
557 /*********************************************    557 /***********************************************************************
558  *                                                558  *                                                                     *
559  * Name: HepPolyhedron::RotateAroundZ             559  * Name: HepPolyhedron::RotateAroundZ                Date:    27.11.96 *
560  * Author: E.Chernyaev (IHEP/Protvino)            560  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
561  *                                                561  *                                                                     *
562  * Function: Create HepPolyhedron for a solid     562  * Function: Create HepPolyhedron for a solid produced by rotation of  *
563  *           two polylines around Z-axis          563  *           two polylines around Z-axis                               *
564  *                                                564  *                                                                     *
565  * Input: nstep - number of discrete steps, if    565  * Input: nstep - number of discrete steps, if 0 then default          *
566  *        phi   - starting phi angle              566  *        phi   - starting phi angle                                   *
567  *        dphi  - delta phi                       567  *        dphi  - delta phi                                            *
568  *        np1   - number of points in external    568  *        np1   - number of points in external polyline                *
569  *                (must be negative in case of    569  *                (must be negative in case of closed polyline)        *
570  *        np2   - number of points in internal    570  *        np2   - number of points in internal polyline (may be 1)     *
571  *        z[]   - z-coordinates (+z >>> -z for    571  *        z[]   - z-coordinates (+z >>> -z for both polylines)         *
572  *        r[]   - r-coordinates                   572  *        r[]   - r-coordinates                                        *
573  *        nodeVis - how to Draw edges joing co    573  *        nodeVis - how to Draw edges joing consecutive positions of   *
574  *                  node during rotation          574  *                  node during rotation                               *
575  *        edgeVis - how to Draw edges             575  *        edgeVis - how to Draw edges                                  *
576  *                                                576  *                                                                     *
577  *********************************************    577  ***********************************************************************/
578 {                                                 578 {
579   static const G4double wholeCircle   = twopi;    579   static const G4double wholeCircle   = twopi;
580                                                   580 
581   //   S E T   R O T A T I O N   P A R A M E T    581   //   S E T   R O T A T I O N   P A R A M E T E R S
582                                                   582 
583   G4bool ifWholeCircle = std::abs(dphi-wholeCi    583   G4bool ifWholeCircle = std::abs(dphi-wholeCircle) < perMillion;
584   G4double delPhi = ifWholeCircle ? wholeCircl    584   G4double delPhi = ifWholeCircle ? wholeCircle : dphi;
585   G4int nSphi = nstep;                            585   G4int nSphi = nstep;
586   if (nSphi <= 0) nSphi = GetNumberOfRotationS    586   if (nSphi <= 0) nSphi = GetNumberOfRotationSteps()*delPhi/wholeCircle + 0.5;
587   if (nSphi == 0) nSphi = 1;                      587   if (nSphi == 0) nSphi = 1;
588   G4int nVphi = ifWholeCircle ? nSphi : nSphi     588   G4int nVphi = ifWholeCircle ? nSphi : nSphi + 1;
589   G4bool ifClosed = np1 <= 0; // true if exter    589   G4bool ifClosed = np1 <= 0; // true if external polyline is closed
590                                                   590 
591   //   C O U N T   V E R T I C E S                591   //   C O U N T   V E R T I C E S
592                                                   592 
593   G4int absNp1 = std::abs(np1);                   593   G4int absNp1 = std::abs(np1);
594   G4int absNp2 = std::abs(np2);                   594   G4int absNp2 = std::abs(np2);
595   G4int i1beg = 0;                                595   G4int i1beg = 0;
596   G4int i1end = absNp1-1;                         596   G4int i1end = absNp1-1;
597   G4int i2beg = absNp1;                           597   G4int i2beg = absNp1;
598   G4int i2end = absNp1+absNp2-1;                  598   G4int i2end = absNp1+absNp2-1;
599   G4int i, j, k;                                  599   G4int i, j, k;
600                                                   600 
601   for(i=i1beg; i<=i2end; i++) {                   601   for(i=i1beg; i<=i2end; i++) {
602     if (std::abs(r[i]) < spatialTolerance) r[i    602     if (std::abs(r[i]) < spatialTolerance) r[i] = 0.;
603   }                                               603   }
604                                                   604 
605   // external polyline - check position of nod    605   // external polyline - check position of nodes relative to Z
606   //                                              606   //
607   G4int Nverts = 0;                               607   G4int Nverts = 0;
608   for (i=i1beg; i<=i1end; i++) {                  608   for (i=i1beg; i<=i1end; i++) {
609     Nverts += (r[i] == 0.) ? 1 : nVphi;           609     Nverts += (r[i] == 0.) ? 1 : nVphi;
610   }                                               610   }
611                                                   611 
612   // internal polyline                            612   // internal polyline
613   //                                              613   //
614   G4bool ifSide1 = false; // whether to create    614   G4bool ifSide1 = false; // whether to create bottom faces
615   G4bool ifSide2 = false; // whether to create    615   G4bool ifSide2 = false; // whether to create top faces
616                                                   616 
617   if (r[i2beg] != r[i1beg] || z[i2beg] != z[i1    617   if (r[i2beg] != r[i1beg] || z[i2beg] != z[i1beg]) { // first node
618     Nverts += (r[i2beg] == 0.) ? 1 : nVphi;       618     Nverts += (r[i2beg] == 0.) ? 1 : nVphi;
619     ifSide1 = true;                               619     ifSide1 = true;
620   }                                               620   }
621                                                   621 
622   for(i=i2beg+1; i<i2end; i++) { // intermedia    622   for(i=i2beg+1; i<i2end; i++) { // intermediate nodes
623     Nverts += (r[i] == 0.) ? 1 : nVphi;           623     Nverts += (r[i] == 0.) ? 1 : nVphi;
624   }                                               624   }
625                                                   625 
626   if (r[i2end] != r[i1end] || z[i2end] != z[i1    626   if (r[i2end] != r[i1end] || z[i2end] != z[i1end]) { // last node
627     if (absNp2 > 1) Nverts += (r[i2end] == 0.)    627     if (absNp2 > 1) Nverts += (r[i2end] == 0.) ? 1 : nVphi;
628     ifSide2 = true;                               628     ifSide2 = true;
629   }                                               629   }
630                                                   630 
631   //   C O U N T   F A C E S                      631   //   C O U N T   F A C E S
632                                                   632 
633   // external lateral faces                       633   // external lateral faces
634   //                                              634   //
635   G4int Nfaces = ifClosed ? absNp1*nSphi : (ab    635   G4int Nfaces = ifClosed ? absNp1*nSphi : (absNp1-1)*nSphi;
636                                                   636 
637   // internal lateral faces                       637   // internal lateral faces
638   //                                              638   //
639   if (absNp2 > 1) {                               639   if (absNp2 > 1) {
640     for(i=i2beg; i<i2end; i++) {                  640     for(i=i2beg; i<i2end; i++) {
641       if (r[i] > 0. || r[i+1] > 0.) Nfaces +=     641       if (r[i] > 0. || r[i+1] > 0.) Nfaces += nSphi;
642     }                                             642     }
643                                                   643 
644     if (ifClosed) {                               644     if (ifClosed) {
645       if (r[i2end] > 0. || r[i2beg] > 0.) Nfac    645       if (r[i2end] > 0. || r[i2beg] > 0.) Nfaces += nSphi;
646     }                                             646     }
647   }                                               647   }
648                                                   648 
649   // bottom and top faces                         649   // bottom and top faces
650   //                                              650   //
651   if (!ifClosed) {                                651   if (!ifClosed) {
652     if (ifSide1 && (r[i1beg] > 0. || r[i2beg]     652     if (ifSide1 && (r[i1beg] > 0. || r[i2beg] > 0.)) Nfaces += nSphi;
653     if (ifSide2 && (r[i1end] > 0. || r[i2end]     653     if (ifSide2 && (r[i1end] > 0. || r[i2end] > 0.)) Nfaces += nSphi;
654   }                                               654   }
655                                                   655 
656   // phi_wedge faces                              656   // phi_wedge faces
657   //                                              657   //
658   if (!ifWholeCircle) {                           658   if (!ifWholeCircle) {
659     Nfaces += ifClosed ? 2*absNp1 : 2*(absNp1-    659     Nfaces += ifClosed ? 2*absNp1 : 2*(absNp1-1);
660   }                                               660   }
661                                                   661 
662   //   A L L O C A T E   M E M O R Y              662   //   A L L O C A T E   M E M O R Y
663                                                   663 
664   AllocateMemory(Nverts, Nfaces);                 664   AllocateMemory(Nverts, Nfaces);
665   if (pV == nullptr || pF == nullptr) return;     665   if (pV == nullptr || pF == nullptr) return;
666                                                   666 
667   //   G E N E R A T E   V E R T I C E S          667   //   G E N E R A T E   V E R T I C E S
668                                                   668 
669   G4int *kk; // array of start indices along p    669   G4int *kk; // array of start indices along polylines
670   kk = new G4int[absNp1+absNp2];                  670   kk = new G4int[absNp1+absNp2];
671                                                   671 
672   // external polyline                            672   // external polyline
673   //                                              673   //
674   k = 1; // free position in array of vertices    674   k = 1; // free position in array of vertices pV
675   for(i=i1beg; i<=i1end; i++) {                   675   for(i=i1beg; i<=i1end; i++) {
676     kk[i] = k;                                    676     kk[i] = k;
677     if (r[i] == 0.)                               677     if (r[i] == 0.)
678     { pV[k++] = G4Point3D(0, 0, z[i]); } else     678     { pV[k++] = G4Point3D(0, 0, z[i]); } else { k += nVphi; }
679   }                                               679   }
680                                                   680 
681   // first point of internal polyline             681   // first point of internal polyline
682   //                                              682   //
683   i = i2beg;                                      683   i = i2beg;
684   if (ifSide1) {                                  684   if (ifSide1) {
685     kk[i] = k;                                    685     kk[i] = k;
686     if (r[i] == 0.)                               686     if (r[i] == 0.)
687     { pV[k++] = G4Point3D(0, 0, z[i]); } else     687     { pV[k++] = G4Point3D(0, 0, z[i]); } else { k += nVphi; }
688   }else{                                          688   }else{
689     kk[i] = kk[i1beg];                            689     kk[i] = kk[i1beg];
690   }                                               690   }
691                                                   691 
692   // intermediate points of internal polyline     692   // intermediate points of internal polyline
693   //                                              693   //
694   for(i=i2beg+1; i<i2end; i++) {                  694   for(i=i2beg+1; i<i2end; i++) {
695     kk[i] = k;                                    695     kk[i] = k;
696     if (r[i] == 0.)                               696     if (r[i] == 0.)
697     { pV[k++] = G4Point3D(0, 0, z[i]); } else     697     { pV[k++] = G4Point3D(0, 0, z[i]); } else { k += nVphi; }
698   }                                               698   }
699                                                   699 
700   // last point of internal polyline              700   // last point of internal polyline
701   //                                              701   //
702   if (absNp2 > 1) {                               702   if (absNp2 > 1) {
703     i = i2end;                                    703     i = i2end;
704     if (ifSide2) {                                704     if (ifSide2) {
705       kk[i] = k;                                  705       kk[i] = k;
706       if (r[i] == 0.) pV[k] = G4Point3D(0, 0,     706       if (r[i] == 0.) pV[k] = G4Point3D(0, 0, z[i]);
707     }else{                                        707     }else{
708       kk[i] = kk[i1end];                          708       kk[i] = kk[i1end];
709     }                                             709     }
710   }                                               710   }
711                                                   711 
712   // set vertices                                 712   // set vertices
713   //                                              713   //
714   G4double cosPhi, sinPhi;                        714   G4double cosPhi, sinPhi;
715                                                   715 
716   for(j=0; j<nVphi; j++) {                        716   for(j=0; j<nVphi; j++) {
717     cosPhi = std::cos(phi+j*delPhi/nSphi);        717     cosPhi = std::cos(phi+j*delPhi/nSphi);
718     sinPhi = std::sin(phi+j*delPhi/nSphi);        718     sinPhi = std::sin(phi+j*delPhi/nSphi);
719     for(i=i1beg; i<=i2end; i++) {                 719     for(i=i1beg; i<=i2end; i++) {
720       if (r[i] != 0.)                             720       if (r[i] != 0.)
721         pV[kk[i]+j] = G4Point3D(r[i]*cosPhi,r[    721         pV[kk[i]+j] = G4Point3D(r[i]*cosPhi,r[i]*sinPhi,z[i]);
722     }                                             722     }
723   }                                               723   }
724                                                   724 
725   //   G E N E R A T E   F A C E S                725   //   G E N E R A T E   F A C E S
726                                                   726 
727   //  external faces                              727   //  external faces
728   //                                              728   //
729   G4int v1,v2;                                    729   G4int v1,v2;
730                                                   730 
731   k = 1; // free position in array of faces pF    731   k = 1; // free position in array of faces pF
732   v2 = ifClosed ? nodeVis : 1;                    732   v2 = ifClosed ? nodeVis : 1;
733   for(i=i1beg; i<i1end; i++) {                    733   for(i=i1beg; i<i1end; i++) {
734     v1 = v2;                                      734     v1 = v2;
735     if (!ifClosed && i == i1end-1) {              735     if (!ifClosed && i == i1end-1) {
736       v2 = 1;                                     736       v2 = 1;
737     }else{                                        737     }else{
738       v2 = (r[i] == r[i+1] && r[i+1] == r[i+2]    738       v2 = (r[i] == r[i+1] && r[i+1] == r[i+2]) ? -1 : nodeVis;
739     }                                             739     }
740     RotateEdge(kk[i], kk[i+1], r[i], r[i+1], v    740     RotateEdge(kk[i], kk[i+1], r[i], r[i+1], v1, v2,
741                edgeVis, ifWholeCircle, nSphi,     741                edgeVis, ifWholeCircle, nSphi, k);
742   }                                               742   }
743   if (ifClosed) {                                 743   if (ifClosed) {
744     RotateEdge(kk[i1end], kk[i1beg], r[i1end],    744     RotateEdge(kk[i1end], kk[i1beg], r[i1end],r[i1beg], nodeVis, nodeVis,
745                edgeVis, ifWholeCircle, nSphi,     745                edgeVis, ifWholeCircle, nSphi, k);
746   }                                               746   }
747                                                   747 
748   // internal faces                               748   // internal faces
749   //                                              749   //
750   if (absNp2 > 1) {                               750   if (absNp2 > 1) {
751     v2 = ifClosed ? nodeVis : 1;                  751     v2 = ifClosed ? nodeVis : 1;
752     for(i=i2beg; i<i2end; i++) {                  752     for(i=i2beg; i<i2end; i++) {
753       v1 = v2;                                    753       v1 = v2;
754       if (!ifClosed && i==i2end-1) {              754       if (!ifClosed && i==i2end-1) {
755         v2 = 1;                                   755         v2 = 1;
756       }else{                                      756       }else{
757         v2 = (r[i] == r[i+1] && r[i+1] == r[i+    757         v2 = (r[i] == r[i+1] && r[i+1] == r[i+2]) ? -1 :  nodeVis;
758       }                                           758       }
759       RotateEdge(kk[i+1], kk[i], r[i+1], r[i],    759       RotateEdge(kk[i+1], kk[i], r[i+1], r[i], v2, v1,
760                  edgeVis, ifWholeCircle, nSphi    760                  edgeVis, ifWholeCircle, nSphi, k);
761     }                                             761     }
762     if (ifClosed) {                               762     if (ifClosed) {
763       RotateEdge(kk[i2beg], kk[i2end], r[i2beg    763       RotateEdge(kk[i2beg], kk[i2end], r[i2beg], r[i2end], nodeVis, nodeVis,
764                  edgeVis, ifWholeCircle, nSphi    764                  edgeVis, ifWholeCircle, nSphi, k);
765     }                                             765     }
766   }                                               766   }
767                                                   767 
768   // bottom and top faces                         768   // bottom and top faces
769   //                                              769   //
770   if (!ifClosed) {                                770   if (!ifClosed) {
771     if (ifSide1) {                                771     if (ifSide1) {
772       RotateEdge(kk[i2beg], kk[i1beg], r[i2beg    772       RotateEdge(kk[i2beg], kk[i1beg], r[i2beg], r[i1beg], 1, 1,
773                  -1, ifWholeCircle, nSphi, k);    773                  -1, ifWholeCircle, nSphi, k);
774     }                                             774     }
775     if (ifSide2) {                                775     if (ifSide2) {
776       RotateEdge(kk[i1end], kk[i2end], r[i1end    776       RotateEdge(kk[i1end], kk[i2end], r[i1end], r[i2end], 1, 1,
777                  -1, ifWholeCircle, nSphi, k);    777                  -1, ifWholeCircle, nSphi, k);
778     }                                             778     }
779   }                                               779   }
780                                                   780 
781   // phi_wedge faces in case of incomplete cir    781   // phi_wedge faces in case of incomplete circle
782   //                                              782   //
783   if (!ifWholeCircle) {                           783   if (!ifWholeCircle) {
784                                                   784 
785     G4int  ii[4], vv[4];                          785     G4int  ii[4], vv[4];
786                                                   786 
787     if (ifClosed) {                               787     if (ifClosed) {
788       for (i=i1beg; i<=i1end; i++) {              788       for (i=i1beg; i<=i1end; i++) {
789         ii[0] = i;                                789         ii[0] = i;
790         ii[3] = (i == i1end) ? i1beg : i+1;       790         ii[3] = (i == i1end) ? i1beg : i+1;
791         ii[1] = (absNp2 == 1) ? i2beg : ii[0]+    791         ii[1] = (absNp2 == 1) ? i2beg : ii[0]+absNp1;
792         ii[2] = (absNp2 == 1) ? i2beg : ii[3]+    792         ii[2] = (absNp2 == 1) ? i2beg : ii[3]+absNp1;
793         vv[0] = -1;                               793         vv[0] = -1;
794         vv[1] = 1;                                794         vv[1] = 1;
795         vv[2] = -1;                               795         vv[2] = -1;
796         vv[3] = 1;                                796         vv[3] = 1;
797         SetSideFacets(ii, vv, kk, r, delPhi, n    797         SetSideFacets(ii, vv, kk, r, delPhi, nSphi, k);
798       }                                           798       }
799     }else{                                        799     }else{
800       for (i=i1beg; i<i1end; i++) {               800       for (i=i1beg; i<i1end; i++) {
801         ii[0] = i;                                801         ii[0] = i;
802         ii[3] = i+1;                              802         ii[3] = i+1;
803         ii[1] = (absNp2 == 1) ? i2beg : ii[0]+    803         ii[1] = (absNp2 == 1) ? i2beg : ii[0]+absNp1;
804         ii[2] = (absNp2 == 1) ? i2beg : ii[3]+    804         ii[2] = (absNp2 == 1) ? i2beg : ii[3]+absNp1;
805         vv[0] = (i == i1beg)   ? 1 : -1;          805         vv[0] = (i == i1beg)   ? 1 : -1;
806         vv[1] = 1;                                806         vv[1] = 1;
807         vv[2] = (i == i1end-1) ? 1 : -1;          807         vv[2] = (i == i1end-1) ? 1 : -1;
808         vv[3] = 1;                                808         vv[3] = 1;
809         SetSideFacets(ii, vv, kk, r, delPhi, n    809         SetSideFacets(ii, vv, kk, r, delPhi, nSphi, k);
810       }                                           810       }
811     }                                             811     }
812   }                                               812   }
813                                                   813 
814   delete [] kk; // free memory                    814   delete [] kk; // free memory
815                                                   815 
816   // final check                                  816   // final check
817   //                                              817   //
818   if (k-1 != nface) {                             818   if (k-1 != nface) {
819     std::cerr                                     819     std::cerr
820       << "HepPolyhedron::RotateAroundZ: number    820       << "HepPolyhedron::RotateAroundZ: number of generated faces ("
821       << k-1 << ") is not equal to the number     821       << k-1 << ") is not equal to the number of allocated faces ("
822       << nface << ")"                             822       << nface << ")"
823       << std::endl;                               823       << std::endl;
824   }                                               824   }
825 }                                                 825 }
826                                                   826 
827 void                                              827 void
828 HepPolyhedron::RotateContourAroundZ(G4int nste    828 HepPolyhedron::RotateContourAroundZ(G4int nstep,
829                                     G4double p    829                                     G4double phi,
830                                     G4double d    830                                     G4double dphi,
831                                     const std:    831                                     const std::vector<G4TwoVector> &rz,
832                                     G4int node    832                                     G4int nodeVis,
833                                     G4int edge    833                                     G4int edgeVis)
834 /*********************************************    834 /***********************************************************************
835  *                                                835  *                                                                     *
836  * Name: HepPolyhedron::RotateContourAroundZ      836  * Name: HepPolyhedron::RotateContourAroundZ         Date:    12.05.21 *
837  * Author: E.Tcherniaev (E.Chernyaev)             837  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
838  *                                                838  *                                                                     *
839  * Function: Create HepPolyhedron for a solid     839  * Function: Create HepPolyhedron for a solid produced by rotation of  *
840  *           a closed polyline (rz-contour) ar    840  *           a closed polyline (rz-contour) around Z-axis              *
841  *                                                841  *                                                                     *
842  * Input: nstep - number of discrete steps, if    842  * Input: nstep - number of discrete steps, if 0 then default          *
843  *        phi   - starting phi angle              843  *        phi   - starting phi angle                                   *
844  *        dphi  - delta phi                       844  *        dphi  - delta phi                                            *
845  *        rz    - rz-contour                      845  *        rz    - rz-contour                                           *
846  *        nodeVis - how to Draw edges joing co    846  *        nodeVis - how to Draw edges joing consecutive positions of   *
847  *                  node during rotation          847  *                  node during rotation                               *
848  *        edgeVis - how to Draw edges             848  *        edgeVis - how to Draw edges                                  *
849  *                                                849  *                                                                     *
850  *********************************************    850  ***********************************************************************/
851 {                                                 851 {
852   //   S E T   R O T A T I O N   P A R A M E T    852   //   S E T   R O T A T I O N   P A R A M E T E R S
853                                                   853 
854   G4bool ifWholeCircle = std::abs(dphi - twopi    854   G4bool ifWholeCircle = std::abs(dphi - twopi) < perMillion;
855   G4double delPhi = (ifWholeCircle) ? twopi :     855   G4double delPhi = (ifWholeCircle) ? twopi : dphi;
856   G4int nSphi = nstep;                            856   G4int nSphi = nstep;
857   if (nSphi <= 0) nSphi = GetNumberOfRotationS    857   if (nSphi <= 0) nSphi = GetNumberOfRotationSteps()*delPhi/twopi + 0.5;
858   if (nSphi == 0) nSphi = 1;                      858   if (nSphi == 0) nSphi = 1;
859   G4int nVphi = (ifWholeCircle) ? nSphi : nSph    859   G4int nVphi = (ifWholeCircle) ? nSphi : nSphi + 1;
860                                                   860 
861   //   C A L C U L A T E   A R E A                861   //   C A L C U L A T E   A R E A
862                                                   862 
863   G4int Nrz = (G4int)rz.size();                   863   G4int Nrz = (G4int)rz.size();
864   G4double area = 0;                              864   G4double area = 0;
865   for (G4int i = 0; i < Nrz; ++i)                 865   for (G4int i = 0; i < Nrz; ++i)
866   {                                               866   {
867     G4int k = (i == 0) ? Nrz - 1 : i - 1;         867     G4int k = (i == 0) ? Nrz - 1 : i - 1;
868     area += rz[k].x()*rz[i].y() - rz[i].x()*rz    868     area += rz[k].x()*rz[i].y() - rz[i].x()*rz[k].y();
869   }                                               869   }
870                                                   870 
871   //   P R E P A R E   P O L Y L I N E            871   //   P R E P A R E   P O L Y L I N E
872                                                   872 
873   auto r = new G4double[Nrz];                     873   auto r = new G4double[Nrz];
874   auto z = new G4double[Nrz];                     874   auto z = new G4double[Nrz];
875   for (G4int i = 0; i < Nrz; ++i)                 875   for (G4int i = 0; i < Nrz; ++i)
876   {                                               876   {
877     r[i] = rz[i].x();                             877     r[i] = rz[i].x();
878     z[i] = rz[i].y();                             878     z[i] = rz[i].y();
879     if (std::abs(r[i]) < spatialTolerance) r[i    879     if (std::abs(r[i]) < spatialTolerance) r[i] = 0.;
880   }                                               880   }
881                                                   881 
882   //   C O U N T   V E R T I C E S   A N D   F    882   //   C O U N T   V E R T I C E S   A N D   F A C E S
883                                                   883 
884   G4int Nverts = 0;                               884   G4int Nverts = 0;
885   for(G4int i = 0; i < Nrz; ++i) Nverts += (r[    885   for(G4int i = 0; i < Nrz; ++i) Nverts += (r[i] == 0.) ? 1 : nVphi;
886                                                   886 
887   G4int Nedges = Nrz;                             887   G4int Nedges = Nrz;
888   for (G4int i = 0; i < Nrz; ++i)                 888   for (G4int i = 0; i < Nrz; ++i)
889   {                                               889   {
890     G4int k = (i == 0) ? Nrz - 1 : i - 1;         890     G4int k = (i == 0) ? Nrz - 1 : i - 1;
891     Nedges -= static_cast<int>(r[k] == 0 && r[    891     Nedges -= static_cast<int>(r[k] == 0 && r[i] == 0);
892   }                                               892   }
893                                                   893 
894   G4int Nfaces = Nedges*nSphi;               /    894   G4int Nfaces = Nedges*nSphi;               // lateral faces
895   if (!ifWholeCircle) Nfaces += 2*(Nrz - 2); /    895   if (!ifWholeCircle) Nfaces += 2*(Nrz - 2); // phi_wedge faces
896                                                   896 
897   //   A L L O C A T E   M E M O R Y              897   //   A L L O C A T E   M E M O R Y
898                                                   898 
899   AllocateMemory(Nverts, Nfaces);                 899   AllocateMemory(Nverts, Nfaces);
900   if (pV == nullptr || pF == nullptr)             900   if (pV == nullptr || pF == nullptr)
901   {                                               901   {
902     delete [] r;                                  902     delete [] r;
903     delete [] z;                                  903     delete [] z;
904     return;                                       904     return;
905   }                                               905   }
906                                                   906 
907   //   S E T   V E R T I C E S                    907   //   S E T   V E R T I C E S
908                                                   908 
909   auto kk = new G4int[Nrz]; // start indices a    909   auto kk = new G4int[Nrz]; // start indices along contour
910   G4int kfree = 1; // current free position in    910   G4int kfree = 1; // current free position in array of vertices pV
911                                                   911 
912   // set start indices, set vertices for nodes    912   // set start indices, set vertices for nodes with r == 0
913   for(G4int i = 0; i < Nrz; ++i)                  913   for(G4int i = 0; i < Nrz; ++i)
914   {                                               914   {
915     kk[i] = kfree;                                915     kk[i] = kfree;
916     if (r[i] == 0.) pV[kfree++] = G4Point3D(0,    916     if (r[i] == 0.) pV[kfree++] = G4Point3D(0, 0, z[i]);
917     if (r[i] != 0.) kfree += nVphi;               917     if (r[i] != 0.) kfree += nVphi;
918   }                                               918   }
919                                                   919 
920   // set vertices by rotating r                   920   // set vertices by rotating r
921   for(G4int j = 0; j < nVphi; ++j)                921   for(G4int j = 0; j < nVphi; ++j)
922   {                                               922   {
923     G4double cosPhi = std::cos(phi + j*delPhi/    923     G4double cosPhi = std::cos(phi + j*delPhi/nSphi);
924     G4double sinPhi = std::sin(phi + j*delPhi/    924     G4double sinPhi = std::sin(phi + j*delPhi/nSphi);
925     for(G4int i = 0; i < Nrz; ++i)                925     for(G4int i = 0; i < Nrz; ++i)
926     {                                             926     {
927       if (r[i] != 0.)                             927       if (r[i] != 0.)
928         pV[kk[i] + j] = G4Point3D(r[i]*cosPhi,    928         pV[kk[i] + j] = G4Point3D(r[i]*cosPhi, r[i]*sinPhi, z[i]);
929     }                                             929     }
930   }                                               930   }
931                                                   931 
932   //   S E T   F A C E S                          932   //   S E T   F A C E S
933                                                   933 
934   kfree = 1; // current free position in array    934   kfree = 1; // current free position in array of faces pF
935   for(G4int i = 0; i < Nrz; ++i)                  935   for(G4int i = 0; i < Nrz; ++i)
936   {                                               936   {
937     G4int i1 = (i < Nrz - 1) ? i + 1 : 0; // i    937     G4int i1 = (i < Nrz - 1) ? i + 1 : 0; // inverse order if area > 0
938     G4int i2 = i;                                 938     G4int i2 = i;
939     if (area < 0.) std::swap(i1, i2);             939     if (area < 0.) std::swap(i1, i2);
940     RotateEdge(kk[i1], kk[i2], r[i1], r[i2], n    940     RotateEdge(kk[i1], kk[i2], r[i1], r[i2], nodeVis, nodeVis,
941                edgeVis, ifWholeCircle, nSphi,     941                edgeVis, ifWholeCircle, nSphi, kfree);
942   }                                               942   }
943                                                   943 
944   //    S E T   P H I _ W E D G E   F A C E S     944   //    S E T   P H I _ W E D G E   F A C E S
945                                                   945 
946   if (!ifWholeCircle)                             946   if (!ifWholeCircle)
947   {                                               947   {
948     std::vector<G4int> triangles;                 948     std::vector<G4int> triangles;
949     TriangulatePolygon(rz, triangles);            949     TriangulatePolygon(rz, triangles);
950                                                   950 
951     G4int ii[4], vv[4];                           951     G4int ii[4], vv[4];
952     G4int ntria = G4int(triangles.size()/3);      952     G4int ntria = G4int(triangles.size()/3);
953     for (G4int i = 0; i < ntria; ++i)             953     for (G4int i = 0; i < ntria; ++i)
954     {                                             954     {
955       G4int i1 = triangles[0 + i*3];              955       G4int i1 = triangles[0 + i*3];
956       G4int i2 = triangles[1 + i*3];              956       G4int i2 = triangles[1 + i*3];
957       G4int i3 = triangles[2 + i*3];              957       G4int i3 = triangles[2 + i*3];
958       if (area < 0.) std::swap(i1, i3);           958       if (area < 0.) std::swap(i1, i3);
959       G4int v1 = (std::abs(i2-i1) == 1 || std:    959       G4int v1 = (std::abs(i2-i1) == 1 || std::abs(i2-i1) == Nrz-1) ? 1 : -1;
960       G4int v2 = (std::abs(i3-i2) == 1 || std:    960       G4int v2 = (std::abs(i3-i2) == 1 || std::abs(i3-i2) == Nrz-1) ? 1 : -1;
961       G4int v3 = (std::abs(i1-i3) == 1 || std:    961       G4int v3 = (std::abs(i1-i3) == 1 || std::abs(i1-i3) == Nrz-1) ? 1 : -1;
962       ii[0] = i1; ii[1] = i2; ii[2] = i2; ii[3    962       ii[0] = i1; ii[1] = i2; ii[2] = i2; ii[3] = i3;
963       vv[0] = v1; vv[1] = -1; vv[2] = v2; vv[3    963       vv[0] = v1; vv[1] = -1; vv[2] = v2; vv[3] = v3;
964       SetSideFacets(ii, vv, kk, r, delPhi, nSp    964       SetSideFacets(ii, vv, kk, r, delPhi, nSphi, kfree);
965     }                                             965     }
966   }                                               966   }
967                                                   967 
968   // free memory                                  968   // free memory
969   delete [] r;                                    969   delete [] r;
970   delete [] z;                                    970   delete [] z;
971   delete [] kk;                                   971   delete [] kk;
972                                                   972 
973   // final check                                  973   // final check
974   if (kfree - 1 != nface)                         974   if (kfree - 1 != nface)
975   {                                               975   {
976     std::cerr                                     976     std::cerr
977       << "HepPolyhedron::RotateContourAroundZ:    977       << "HepPolyhedron::RotateContourAroundZ: number of generated faces ("
978       << kfree-1 << ") is not equal to the num    978       << kfree-1 << ") is not equal to the number of allocated faces ("
979       << nface << ")"                             979       << nface << ")"
980       << std::endl;                               980       << std::endl;
981   }                                               981   }
982 }                                                 982 }
983                                                   983 
984 G4bool                                            984 G4bool
985 HepPolyhedron::TriangulatePolygon(const std::v    985 HepPolyhedron::TriangulatePolygon(const std::vector<G4TwoVector> &polygon,
986                                   std::vector<    986                                   std::vector<G4int> &result)
987 /*********************************************    987 /***********************************************************************
988  *                                                988  *                                                                     *
989  * Name: HepPolyhedron::TriangulatePolygon        989  * Name: HepPolyhedron::TriangulatePolygon           Date:    12.05.21 *
990  * Author: E.Tcherniaev (E.Chernyaev)             990  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
991  *                                                991  *                                                                     *
992  * Function: Simple implementation of "ear cli    992  * Function: Simple implementation of "ear clipping" algorithm for     *
993  *           triangulation of a simple contour    993  *           triangulation of a simple contour/polygon, it places      *
994  *           the result in a std::vector as tr    994  *           the result in a std::vector as triplets of vertex indices *
995  *                                                995  *                                                                     *
996  *           If triangulation is sucsessfull t    996  *           If triangulation is sucsessfull then the function         *
997  *           returns true, otherwise false        997  *           returns true, otherwise false                             *
998  *                                                998  *                                                                     *
999  * Remark:   It's a copy of G4GeomTools::Trian    999  * Remark:   It's a copy of G4GeomTools::TriangulatePolygon()          *
1000  *                                               1000  *                                                                     *
1001  ********************************************    1001  ***********************************************************************/
1002 {                                                1002 {
1003   result.resize(0);                              1003   result.resize(0);
1004   G4int n = (G4int)polygon.size();               1004   G4int n = (G4int)polygon.size();
1005   if (n < 3) return false;                       1005   if (n < 3) return false;
1006                                                  1006 
1007   // calculate area                              1007   // calculate area
1008   //                                             1008   //
1009   G4double area = 0.;                            1009   G4double area = 0.;
1010   for(G4int i = 0; i < n; ++i)                   1010   for(G4int i = 0; i < n; ++i)
1011   {                                              1011   {
1012     G4int k = (i == 0) ? n - 1 : i - 1;          1012     G4int k = (i == 0) ? n - 1 : i - 1;
1013     area += polygon[k].x()*polygon[i].y() - p    1013     area += polygon[k].x()*polygon[i].y() - polygon[i].x()*polygon[k].y();
1014   }                                              1014   }
1015                                                  1015 
1016   // allocate and initialize list of Vertices    1016   // allocate and initialize list of Vertices
1017   // we want a counter-clockwise polygon in V    1017   // we want a counter-clockwise polygon in V
1018   //                                             1018   //
1019   auto  V = new G4int[n];                        1019   auto  V = new G4int[n];
1020   if (area > 0.)                                 1020   if (area > 0.)
1021     for (G4int i = 0; i < n; ++i) V[i] = i;      1021     for (G4int i = 0; i < n; ++i) V[i] = i;
1022   else                                           1022   else
1023     for (G4int i = 0; i < n; ++i) V[i] = (n -    1023     for (G4int i = 0; i < n; ++i) V[i] = (n - 1) - i;
1024                                                  1024 
1025   //  Triangulation: remove nv-2 Vertices, cr    1025   //  Triangulation: remove nv-2 Vertices, creating 1 triangle every time
1026   //                                             1026   //
1027   G4int nv = n;                                  1027   G4int nv = n;
1028   G4int count = 2*nv; // error detection coun    1028   G4int count = 2*nv; // error detection counter
1029   for(G4int b = nv - 1; nv > 2; )                1029   for(G4int b = nv - 1; nv > 2; )
1030   {                                              1030   {
1031     // ERROR: if we loop, it is probably a no    1031     // ERROR: if we loop, it is probably a non-simple polygon
1032     if ((count--) <= 0)                          1032     if ((count--) <= 0)
1033     {                                            1033     {
1034       delete [] V;                               1034       delete [] V;
1035       if (area < 0.) std::reverse(result.begi    1035       if (area < 0.) std::reverse(result.begin(),result.end());
1036       return false;                              1036       return false;
1037     }                                            1037     }
1038                                                  1038 
1039     // three consecutive vertices in current     1039     // three consecutive vertices in current polygon, <a,b,c>
1040     G4int a = (b   < nv) ? b   : 0; // previo    1040     G4int a = (b   < nv) ? b   : 0; // previous
1041           b = (a+1 < nv) ? a+1 : 0; // curren    1041           b = (a+1 < nv) ? a+1 : 0; // current
1042     G4int c = (b+1 < nv) ? b+1 : 0; // next      1042     G4int c = (b+1 < nv) ? b+1 : 0; // next
1043                                                  1043 
1044     if (CheckSnip(polygon, a,b,c, nv,V))         1044     if (CheckSnip(polygon, a,b,c, nv,V))
1045     {                                            1045     {
1046       // output Triangle                         1046       // output Triangle
1047       result.push_back(V[a]);                    1047       result.push_back(V[a]);
1048       result.push_back(V[b]);                    1048       result.push_back(V[b]);
1049       result.push_back(V[c]);                    1049       result.push_back(V[c]);
1050                                                  1050 
1051       // remove vertex b from remaining polyg    1051       // remove vertex b from remaining polygon
1052       nv--;                                      1052       nv--;
1053       for(G4int i = b; i < nv; ++i) V[i] = V[    1053       for(G4int i = b; i < nv; ++i) V[i] = V[i+1];
1054                                                  1054 
1055       count = 2*nv; // resest error detection    1055       count = 2*nv; // resest error detection counter
1056     }                                            1056     }
1057   }                                              1057   }
1058   delete [] V;                                   1058   delete [] V;
1059   if (area < 0.) std::reverse(result.begin(),    1059   if (area < 0.) std::reverse(result.begin(),result.end());
1060   return true;                                   1060   return true;
1061 }                                                1061 }
1062                                                  1062 
1063 G4bool HepPolyhedron::CheckSnip(const std::ve    1063 G4bool HepPolyhedron::CheckSnip(const std::vector<G4TwoVector> &contour,
1064                                 G4int a, G4in    1064                                 G4int a, G4int b, G4int c,
1065                                 G4int n, cons    1065                                 G4int n, const G4int* V)
1066 /********************************************    1066 /***********************************************************************
1067  *                                               1067  *                                                                     *
1068  * Name: HepPolyhedron::CheckSnip                1068  * Name: HepPolyhedron::CheckSnip                    Date:    12.05.21 *
1069  * Author: E.Tcherniaev (E.Chernyaev)            1069  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
1070  *                                               1070  *                                                                     *
1071  * Function: Check for a valid snip,             1071  * Function: Check for a valid snip,                                   *
1072  *           it is a helper functionfor Trian    1072  *           it is a helper functionfor TriangulatePolygon()           *
1073  *                                               1073  *                                                                     *
1074  ********************************************    1074  ***********************************************************************/
1075 {                                                1075 {
1076   static const G4double kCarTolerance = 1.e-9    1076   static const G4double kCarTolerance = 1.e-9;
1077                                                  1077 
1078   // check orientation of Triangle               1078   // check orientation of Triangle
1079   G4double Ax = contour[V[a]].x(), Ay = conto    1079   G4double Ax = contour[V[a]].x(), Ay = contour[V[a]].y();
1080   G4double Bx = contour[V[b]].x(), By = conto    1080   G4double Bx = contour[V[b]].x(), By = contour[V[b]].y();
1081   G4double Cx = contour[V[c]].x(), Cy = conto    1081   G4double Cx = contour[V[c]].x(), Cy = contour[V[c]].y();
1082   if ((Bx-Ax)*(Cy-Ay) - (By-Ay)*(Cx-Ax) < kCa    1082   if ((Bx-Ax)*(Cy-Ay) - (By-Ay)*(Cx-Ax) < kCarTolerance) return false;
1083                                                  1083 
1084   // check that there is no point inside Tria    1084   // check that there is no point inside Triangle
1085   G4double xmin = std::min(std::min(Ax,Bx),Cx    1085   G4double xmin = std::min(std::min(Ax,Bx),Cx);
1086   G4double xmax = std::max(std::max(Ax,Bx),Cx    1086   G4double xmax = std::max(std::max(Ax,Bx),Cx);
1087   G4double ymin = std::min(std::min(Ay,By),Cy    1087   G4double ymin = std::min(std::min(Ay,By),Cy);
1088   G4double ymax = std::max(std::max(Ay,By),Cy    1088   G4double ymax = std::max(std::max(Ay,By),Cy);
1089                                                  1089 
1090   for (G4int i=0; i<n; ++i)                      1090   for (G4int i=0; i<n; ++i)
1091   {                                              1091   {
1092     if((i == a) || (i == b) || (i == c)) cont    1092     if((i == a) || (i == b) || (i == c)) continue;
1093     G4double Px = contour[V[i]].x();             1093     G4double Px = contour[V[i]].x();
1094     if (Px < xmin || Px > xmax) continue;        1094     if (Px < xmin || Px > xmax) continue;
1095     G4double Py = contour[V[i]].y();             1095     G4double Py = contour[V[i]].y();
1096     if (Py < ymin || Py > ymax) continue;        1096     if (Py < ymin || Py > ymax) continue;
1097     // if (PointInTriangle(Ax,Ay,Bx,By,Cx,Cy,    1097     // if (PointInTriangle(Ax,Ay,Bx,By,Cx,Cy,Px,Py)) return false;
1098     if ((Bx-Ax)*(Cy-Ay) - (By-Ay)*(Cx-Ax) > 0    1098     if ((Bx-Ax)*(Cy-Ay) - (By-Ay)*(Cx-Ax) > 0.)
1099     {                                            1099     {
1100       if ((Ax-Cx)*(Py-Cy) - (Ay-Cy)*(Px-Cx) <    1100       if ((Ax-Cx)*(Py-Cy) - (Ay-Cy)*(Px-Cx) < 0.) continue;
1101       if ((Bx-Ax)*(Py-Ay) - (By-Ay)*(Px-Ax) <    1101       if ((Bx-Ax)*(Py-Ay) - (By-Ay)*(Px-Ax) < 0.) continue;
1102       if ((Cx-Bx)*(Py-By) - (Cy-By)*(Px-Bx) <    1102       if ((Cx-Bx)*(Py-By) - (Cy-By)*(Px-Bx) < 0.) continue;
1103     }                                            1103     }
1104     else                                         1104     else
1105     {                                            1105     {
1106       if ((Ax-Cx)*(Py-Cy) - (Ay-Cy)*(Px-Cx) >    1106       if ((Ax-Cx)*(Py-Cy) - (Ay-Cy)*(Px-Cx) > 0.) continue;
1107       if ((Bx-Ax)*(Py-Ay) - (By-Ay)*(Px-Ax) >    1107       if ((Bx-Ax)*(Py-Ay) - (By-Ay)*(Px-Ax) > 0.) continue;
1108       if ((Cx-Bx)*(Py-By) - (Cy-By)*(Px-Bx) >    1108       if ((Cx-Bx)*(Py-By) - (Cy-By)*(Px-Bx) > 0.) continue;
1109     }                                            1109     }
1110     return false;                                1110     return false;
1111   }                                              1111   }
1112   return true;                                   1112   return true;
1113 }                                                1113 }
1114                                                  1114 
1115 void HepPolyhedron::SetReferences()              1115 void HepPolyhedron::SetReferences()
1116 /********************************************    1116 /***********************************************************************
1117  *                                               1117  *                                                                     *
1118  * Name: HepPolyhedron::SetReferences            1118  * Name: HepPolyhedron::SetReferences                Date:    04.12.96 *
1119  * Author: E.Chernyaev (IHEP/Protvino)           1119  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
1120  *                                               1120  *                                                                     *
1121  * Function: For each edge set reference to n    1121  * Function: For each edge set reference to neighbouring facet         *
1122  *                                               1122  *                                                                     *
1123  ********************************************    1123  ***********************************************************************/
1124 {                                                1124 {
1125   if (nface <= 0) return;                        1125   if (nface <= 0) return;
1126                                                  1126 
1127   struct edgeListMember {                        1127   struct edgeListMember {
1128     edgeListMember *next;                        1128     edgeListMember *next;
1129     G4int v2;                                    1129     G4int v2;
1130     G4int iface;                                 1130     G4int iface;
1131     G4int iedge;                                 1131     G4int iedge;
1132   } *edgeList, *freeList, **headList;            1132   } *edgeList, *freeList, **headList;
1133                                                  1133 
1134                                                  1134 
1135   //   A L L O C A T E   A N D   I N I T I A     1135   //   A L L O C A T E   A N D   I N I T I A T E   L I S T S
1136                                                  1136 
1137   edgeList = new edgeListMember[2*nface];        1137   edgeList = new edgeListMember[2*nface];
1138   headList = new edgeListMember*[nvert];         1138   headList = new edgeListMember*[nvert];
1139                                                  1139 
1140   G4int i;                                       1140   G4int i;
1141   for (i=0; i<nvert; i++) {                      1141   for (i=0; i<nvert; i++) {
1142     headList[i] = nullptr;                       1142     headList[i] = nullptr;
1143   }                                              1143   }
1144   freeList = edgeList;                           1144   freeList = edgeList;
1145   for (i=0; i<2*nface-1; i++) {                  1145   for (i=0; i<2*nface-1; i++) {
1146     edgeList[i].next = &edgeList[i+1];           1146     edgeList[i].next = &edgeList[i+1];
1147   }                                              1147   }
1148   edgeList[2*nface-1].next = nullptr;            1148   edgeList[2*nface-1].next = nullptr;
1149                                                  1149 
1150   //   L O O P   A L O N G   E D G E S           1150   //   L O O P   A L O N G   E D G E S
1151                                                  1151 
1152   G4int iface, iedge, nedge, i1, i2, k1, k2;     1152   G4int iface, iedge, nedge, i1, i2, k1, k2;
1153   edgeListMember *prev, *cur;                    1153   edgeListMember *prev, *cur;
1154                                                  1154 
1155   for(iface=1; iface<=nface; iface++) {          1155   for(iface=1; iface<=nface; iface++) {
1156     nedge = (pF[iface].edge[3].v == 0) ? 3 :     1156     nedge = (pF[iface].edge[3].v == 0) ? 3 : 4;
1157     for (iedge=0; iedge<nedge; iedge++) {        1157     for (iedge=0; iedge<nedge; iedge++) {
1158       i1 = iedge;                                1158       i1 = iedge;
1159       i2 = (iedge < nedge-1) ? iedge+1 : 0;      1159       i2 = (iedge < nedge-1) ? iedge+1 : 0;
1160       i1 = std::abs(pF[iface].edge[i1].v);       1160       i1 = std::abs(pF[iface].edge[i1].v);
1161       i2 = std::abs(pF[iface].edge[i2].v);       1161       i2 = std::abs(pF[iface].edge[i2].v);
1162       k1 = (i1 < i2) ? i1 : i2;          // k    1162       k1 = (i1 < i2) ? i1 : i2;          // k1 = ::min(i1,i2);
1163       k2 = (i1 > i2) ? i1 : i2;          // k    1163       k2 = (i1 > i2) ? i1 : i2;          // k2 = ::max(i1,i2);
1164                                                  1164 
1165       // check head of the List corresponding    1165       // check head of the List corresponding to k1
1166       cur = headList[k1];                        1166       cur = headList[k1];
1167       if (cur == nullptr) {                      1167       if (cur == nullptr) {
1168         headList[k1] = freeList;                 1168         headList[k1] = freeList;
1169         if (freeList == nullptr) {               1169         if (freeList == nullptr) {
1170           std::cerr                              1170           std::cerr
1171           << "Polyhedron::SetReferences: bad     1171           << "Polyhedron::SetReferences: bad link "
1172           << std::endl;                          1172           << std::endl;
1173           break;                                 1173           break;
1174         }                                        1174         }
1175         freeList = freeList->next;               1175         freeList = freeList->next;
1176         cur = headList[k1];                      1176         cur = headList[k1];
1177         cur->next = nullptr;                     1177         cur->next = nullptr;
1178         cur->v2 = k2;                            1178         cur->v2 = k2;
1179         cur->iface = iface;                      1179         cur->iface = iface;
1180         cur->iedge = iedge;                      1180         cur->iedge = iedge;
1181         continue;                                1181         continue;
1182       }                                          1182       }
1183                                                  1183 
1184       if (cur->v2 == k2) {                       1184       if (cur->v2 == k2) {
1185         headList[k1] = cur->next;                1185         headList[k1] = cur->next;
1186         cur->next = freeList;                    1186         cur->next = freeList;
1187         freeList = cur;                          1187         freeList = cur;
1188         pF[iface].edge[iedge].f = cur->iface;    1188         pF[iface].edge[iedge].f = cur->iface;
1189         pF[cur->iface].edge[cur->iedge].f = i    1189         pF[cur->iface].edge[cur->iedge].f = iface;
1190         i1 = (pF[iface].edge[iedge].v < 0) ?     1190         i1 = (pF[iface].edge[iedge].v < 0) ? -1 : 1;
1191         i2 = (pF[cur->iface].edge[cur->iedge]    1191         i2 = (pF[cur->iface].edge[cur->iedge].v < 0) ? -1 : 1;
1192         if (i1 != i2) {                          1192         if (i1 != i2) {
1193           std::cerr                              1193           std::cerr
1194             << "Polyhedron::SetReferences: di    1194             << "Polyhedron::SetReferences: different edge visibility "
1195             << iface << "/" << iedge << "/"      1195             << iface << "/" << iedge << "/"
1196             << pF[iface].edge[iedge].v << " a    1196             << pF[iface].edge[iedge].v << " and "
1197             << cur->iface << "/" << cur->iedg    1197             << cur->iface << "/" << cur->iedge << "/"
1198             << pF[cur->iface].edge[cur->iedge    1198             << pF[cur->iface].edge[cur->iedge].v
1199             << std::endl;                        1199             << std::endl;
1200         }                                        1200         }
1201         continue;                                1201         continue;
1202       }                                          1202       }
1203                                                  1203 
1204       // check List itself                       1204       // check List itself
1205       for (;;) {                                 1205       for (;;) {
1206         prev = cur;                              1206         prev = cur;
1207         cur = prev->next;                        1207         cur = prev->next;
1208         if (cur == nullptr) {                    1208         if (cur == nullptr) {
1209           prev->next = freeList;                 1209           prev->next = freeList;
1210           if (freeList == nullptr) {             1210           if (freeList == nullptr) {
1211             std::cerr                            1211             std::cerr
1212             << "Polyhedron::SetReferences: ba    1212             << "Polyhedron::SetReferences: bad link "
1213             << std::endl;                        1213             << std::endl;
1214             break;                               1214             break;
1215           }                                      1215           }
1216           freeList = freeList->next;             1216           freeList = freeList->next;
1217           cur = prev->next;                      1217           cur = prev->next;
1218           cur->next = nullptr;                   1218           cur->next = nullptr;
1219           cur->v2 = k2;                          1219           cur->v2 = k2;
1220           cur->iface = iface;                    1220           cur->iface = iface;
1221           cur->iedge = iedge;                    1221           cur->iedge = iedge;
1222           break;                                 1222           break;
1223         }                                        1223         }
1224                                                  1224 
1225         if (cur->v2 == k2) {                     1225         if (cur->v2 == k2) {
1226           prev->next = cur->next;                1226           prev->next = cur->next;
1227           cur->next = freeList;                  1227           cur->next = freeList;
1228           freeList = cur;                        1228           freeList = cur;
1229           pF[iface].edge[iedge].f = cur->ifac    1229           pF[iface].edge[iedge].f = cur->iface;
1230           pF[cur->iface].edge[cur->iedge].f =    1230           pF[cur->iface].edge[cur->iedge].f = iface;
1231           i1 = (pF[iface].edge[iedge].v < 0)     1231           i1 = (pF[iface].edge[iedge].v < 0) ? -1 : 1;
1232           i2 = (pF[cur->iface].edge[cur->iedg    1232           i2 = (pF[cur->iface].edge[cur->iedge].v < 0) ? -1 : 1;
1233             if (i1 != i2) {                      1233             if (i1 != i2) {
1234               std::cerr                          1234               std::cerr
1235                 << "Polyhedron::SetReferences    1235                 << "Polyhedron::SetReferences: different edge visibility "
1236                 << iface << "/" << iedge << "    1236                 << iface << "/" << iedge << "/"
1237                 << pF[iface].edge[iedge].v <<    1237                 << pF[iface].edge[iedge].v << " and "
1238                 << cur->iface << "/" << cur->    1238                 << cur->iface << "/" << cur->iedge << "/"
1239                 << pF[cur->iface].edge[cur->i    1239                 << pF[cur->iface].edge[cur->iedge].v
1240                 << std::endl;                    1240                 << std::endl;
1241             }                                    1241             }
1242           break;                                 1242           break;
1243         }                                        1243         }
1244       }                                          1244       }
1245     }                                            1245     }
1246   }                                              1246   }
1247                                                  1247 
1248   //  C H E C K   T H A T   A L L   L I S T S    1248   //  C H E C K   T H A T   A L L   L I S T S   A R E   E M P T Y
1249                                                  1249 
1250   for (i=0; i<nvert; i++) {                      1250   for (i=0; i<nvert; i++) {
1251     if (headList[i] != nullptr) {                1251     if (headList[i] != nullptr) {
1252       std::cerr                                  1252       std::cerr
1253         << "Polyhedron::SetReferences: List "    1253         << "Polyhedron::SetReferences: List " << i << " is not empty"
1254         << std::endl;                            1254         << std::endl;
1255     }                                            1255     }
1256   }                                              1256   }
1257                                                  1257 
1258   //   F R E E   M E M O R Y                     1258   //   F R E E   M E M O R Y
1259                                                  1259 
1260   delete [] edgeList;                            1260   delete [] edgeList;
1261   delete [] headList;                            1261   delete [] headList;
1262 }                                                1262 }
1263                                                  1263 
1264 void HepPolyhedron::JoinCoplanarFacets(G4doub    1264 void HepPolyhedron::JoinCoplanarFacets(G4double tolerance)
1265 /********************************************    1265 /***********************************************************************
1266  *                                               1266  *                                                                     *
1267  * Name: HepPolyhedron::JoinCoplanarFacets       1267  * Name: HepPolyhedron::JoinCoplanarFacets          Date:    04.04.22  *
1268  * Author: E.Tcherniaev (E.Chernyaev)            1268  * Author: E.Tcherniaev (E.Chernyaev)               Revised:           *
1269  *                                               1269  *                                                                     *
1270  * Function: Join couples of triangular facet    1270  * Function: Join couples of triangular facets to quadrangular facets  *
1271  *           where it is possible                1271  *           where it is possible                                      *
1272  *                                               1272  *                                                                     *
1273  ********************************************    1273  ***********************************************************************/
1274 {                                                1274 {
1275   G4int njoin = 0;                               1275   G4int njoin = 0;
1276   for (G4int icur = 1; icur <= nface; ++icur)    1276   for (G4int icur = 1; icur <= nface; ++icur)
1277   {                                              1277   {
1278     // skip if already joined or quadrangle      1278     // skip if already joined or quadrangle
1279     if (pF[icur].edge[0].v == 0) continue;       1279     if (pF[icur].edge[0].v == 0) continue;
1280     if (pF[icur].edge[3].v != 0) continue;       1280     if (pF[icur].edge[3].v != 0) continue;
1281     // skip if all references point to alread    1281     // skip if all references point to already checked facets
1282     if (pF[icur].edge[0].f < icur &&             1282     if (pF[icur].edge[0].f < icur &&
1283         pF[icur].edge[1].f < icur &&             1283         pF[icur].edge[1].f < icur &&
1284         pF[icur].edge[2].f < icur) continue;     1284         pF[icur].edge[2].f < icur) continue;
1285     // compute plane equation                    1285     // compute plane equation
1286     G4Normal3D norm = GetUnitNormal(icur);       1286     G4Normal3D norm = GetUnitNormal(icur);
1287     G4double dd = norm.dot(pV[pF[icur].edge[0    1287     G4double dd = norm.dot(pV[pF[icur].edge[0].v]);
1288     G4int vcur0 = std::abs(pF[icur].edge[0].v    1288     G4int vcur0 = std::abs(pF[icur].edge[0].v);
1289     G4int vcur1 = std::abs(pF[icur].edge[1].v    1289     G4int vcur1 = std::abs(pF[icur].edge[1].v);
1290     G4int vcur2 = std::abs(pF[icur].edge[2].v    1290     G4int vcur2 = std::abs(pF[icur].edge[2].v);
1291     // select neighbouring facet                 1291     // select neighbouring facet
1292     G4int kcheck = 0, icheck = 0, vcheck = 0;    1292     G4int kcheck = 0, icheck = 0, vcheck = 0;
1293     G4double dist = DBL_MAX;                     1293     G4double dist = DBL_MAX;
1294     for (G4int k = 0; k < 3; ++k)                1294     for (G4int k = 0; k < 3; ++k)
1295     {                                            1295     {
1296       G4int itmp = pF[icur].edge[k].f;           1296       G4int itmp = pF[icur].edge[k].f;
1297       // skip if already checked, joined or q    1297       // skip if already checked, joined or quadrangle
1298       if (itmp < icur) continue;                 1298       if (itmp < icur) continue;
1299       if (pF[itmp].edge[0].v == 0 ||             1299       if (pF[itmp].edge[0].v == 0 ||
1300           pF[itmp].edge[3].v != 0) continue;     1300           pF[itmp].edge[3].v != 0) continue;
1301       // get candidate vertex                    1301       // get candidate vertex
1302       G4int vtmp = 0;                            1302       G4int vtmp = 0;
1303       for (G4int j = 0; j < 3; ++j)              1303       for (G4int j = 0; j < 3; ++j)
1304       {                                          1304       {
1305         vtmp = std::abs(pF[itmp].edge[j].v);     1305         vtmp = std::abs(pF[itmp].edge[j].v);
1306   if (vtmp != vcur0 && vtmp != vcur1 && vtmp     1306   if (vtmp != vcur0 && vtmp != vcur1 && vtmp != vcur2) break;
1307       }                                          1307       }
1308       // check distance to the plane             1308       // check distance to the plane
1309       G4double dtmp = std::abs(norm.dot(pV[vt    1309       G4double dtmp = std::abs(norm.dot(pV[vtmp]) - dd);
1310       if (dtmp > tolerance || dtmp >= dist) c    1310       if (dtmp > tolerance || dtmp >= dist) continue;
1311       dist = dtmp;                               1311       dist = dtmp;
1312       kcheck = k;                                1312       kcheck = k;
1313       icheck = itmp;                             1313       icheck = itmp;
1314       vcheck = vtmp;                             1314       vcheck = vtmp;
1315     }                                            1315     }
1316     if (icheck == 0) continue; // no facet se    1316     if (icheck == 0) continue; // no facet selected
1317     // join facets                               1317     // join facets
1318     njoin++;                                     1318     njoin++;
1319     pF[icheck].edge[0].v = 0; // mark facet a    1319     pF[icheck].edge[0].v = 0; // mark facet as joined
1320     if (kcheck == 0)                             1320     if (kcheck == 0)
1321     {                                            1321     {
1322       pF[icur].edge[3].v = pF[icur].edge[2].v    1322       pF[icur].edge[3].v = pF[icur].edge[2].v;
1323       pF[icur].edge[2].v = pF[icur].edge[1].v    1323       pF[icur].edge[2].v = pF[icur].edge[1].v;
1324       pF[icur].edge[1].v = vcheck;               1324       pF[icur].edge[1].v = vcheck;
1325     }                                            1325     }
1326     else if (kcheck == 1)                        1326     else if (kcheck == 1)
1327     {                                            1327     {
1328       pF[icur].edge[3].v = pF[icur].edge[2].v    1328       pF[icur].edge[3].v = pF[icur].edge[2].v;
1329       pF[icur].edge[2].v = vcheck;               1329       pF[icur].edge[2].v = vcheck;
1330     }                                            1330     }
1331     else                                         1331     else
1332     {                                            1332     {
1333       pF[icur].edge[3].v = vcheck;               1333       pF[icur].edge[3].v = vcheck;
1334     }                                            1334     }
1335   }                                              1335   }
1336   if (njoin == 0) return; // no joined facets    1336   if (njoin == 0) return; // no joined facets
1337                                                  1337 
1338   // restructure facets                          1338   // restructure facets
1339   G4int nnew = 0;                                1339   G4int nnew = 0;
1340   for (G4int icur = 1; icur <= nface; ++icur)    1340   for (G4int icur = 1; icur <= nface; ++icur)
1341   {                                              1341   {
1342     if (pF[icur].edge[0].v == 0) continue;       1342     if (pF[icur].edge[0].v == 0) continue;
1343     nnew++;                                      1343     nnew++;
1344     pF[nnew].edge[0].v = pF[icur].edge[0].v;     1344     pF[nnew].edge[0].v = pF[icur].edge[0].v;
1345     pF[nnew].edge[1].v = pF[icur].edge[1].v;     1345     pF[nnew].edge[1].v = pF[icur].edge[1].v;
1346     pF[nnew].edge[2].v = pF[icur].edge[2].v;     1346     pF[nnew].edge[2].v = pF[icur].edge[2].v;
1347     pF[nnew].edge[3].v = pF[icur].edge[3].v;     1347     pF[nnew].edge[3].v = pF[icur].edge[3].v;
1348   }                                              1348   }
1349   nface = nnew;                                  1349   nface = nnew;
1350   SetReferences();                               1350   SetReferences();
1351 }                                                1351 }
1352                                                  1352 
1353 void HepPolyhedron::InvertFacets()               1353 void HepPolyhedron::InvertFacets()
1354 /********************************************    1354 /***********************************************************************
1355  *                                               1355  *                                                                     *
1356  * Name: HepPolyhedron::InvertFacets             1356  * Name: HepPolyhedron::InvertFacets                Date:    01.12.99  *
1357  * Author: E.Chernyaev                           1357  * Author: E.Chernyaev                              Revised:           *
1358  *                                               1358  *                                                                     *
1359  * Function: Invert the order of the nodes in    1359  * Function: Invert the order of the nodes in the facets               *
1360  *                                               1360  *                                                                     *
1361  ********************************************    1361  ***********************************************************************/
1362 {                                                1362 {
1363   if (nface <= 0) return;                        1363   if (nface <= 0) return;
1364   G4int i, k, nnode, v[4],f[4];                  1364   G4int i, k, nnode, v[4],f[4];
1365   for (i=1; i<=nface; i++) {                     1365   for (i=1; i<=nface; i++) {
1366     nnode =  (pF[i].edge[3].v == 0) ? 3 : 4;     1366     nnode =  (pF[i].edge[3].v == 0) ? 3 : 4;
1367     for (k=0; k<nnode; k++) {                    1367     for (k=0; k<nnode; k++) {
1368       v[k] = (k+1 == nnode) ? pF[i].edge[0].v    1368       v[k] = (k+1 == nnode) ? pF[i].edge[0].v : pF[i].edge[k+1].v;
1369       if (v[k] * pF[i].edge[k].v < 0) v[k] =     1369       if (v[k] * pF[i].edge[k].v < 0) v[k] = -v[k];
1370       f[k] = pF[i].edge[k].f;                    1370       f[k] = pF[i].edge[k].f;
1371     }                                            1371     }
1372     for (k=0; k<nnode; k++) {                    1372     for (k=0; k<nnode; k++) {
1373       pF[i].edge[nnode-1-k].v = v[k];            1373       pF[i].edge[nnode-1-k].v = v[k];
1374       pF[i].edge[nnode-1-k].f = f[k];            1374       pF[i].edge[nnode-1-k].f = f[k];
1375     }                                            1375     }
1376   }                                              1376   }
1377 }                                                1377 }
1378                                                  1378 
1379 HepPolyhedron & HepPolyhedron::Transform(cons    1379 HepPolyhedron & HepPolyhedron::Transform(const G4Transform3D &t)
1380 /********************************************    1380 /***********************************************************************
1381  *                                               1381  *                                                                     *
1382  * Name: HepPolyhedron::Transform                1382  * Name: HepPolyhedron::Transform                    Date:    01.12.99  *
1383  * Author: E.Chernyaev                           1383  * Author: E.Chernyaev                              Revised:           *
1384  *                                               1384  *                                                                     *
1385  * Function: Make transformation of the polyh    1385  * Function: Make transformation of the polyhedron                     *
1386  *                                               1386  *                                                                     *
1387  ********************************************    1387  ***********************************************************************/
1388 {                                                1388 {
1389   if (nvert > 0) {                               1389   if (nvert > 0) {
1390     for (G4int i=1; i<=nvert; i++) { pV[i] =     1390     for (G4int i=1; i<=nvert; i++) { pV[i] = t * pV[i]; }
1391                                                  1391 
1392     //  C H E C K   D E T E R M I N A N T   A    1392     //  C H E C K   D E T E R M I N A N T   A N D
1393     //  I N V E R T   F A C E T S   I F   I T    1393     //  I N V E R T   F A C E T S   I F   I T   I S   N E G A T I V E
1394                                                  1394 
1395     G4Vector3D d = t * G4Vector3D(0,0,0);        1395     G4Vector3D d = t * G4Vector3D(0,0,0);
1396     G4Vector3D x = t * G4Vector3D(1,0,0) - d;    1396     G4Vector3D x = t * G4Vector3D(1,0,0) - d;
1397     G4Vector3D y = t * G4Vector3D(0,1,0) - d;    1397     G4Vector3D y = t * G4Vector3D(0,1,0) - d;
1398     G4Vector3D z = t * G4Vector3D(0,0,1) - d;    1398     G4Vector3D z = t * G4Vector3D(0,0,1) - d;
1399     if ((x.cross(y))*z < 0) InvertFacets();      1399     if ((x.cross(y))*z < 0) InvertFacets();
1400   }                                              1400   }
1401   return *this;                                  1401   return *this;
1402 }                                                1402 }
1403                                                  1403 
1404 G4bool HepPolyhedron::GetNextVertexIndex(G4in    1404 G4bool HepPolyhedron::GetNextVertexIndex(G4int &index, G4int &edgeFlag) const
1405 /********************************************    1405 /***********************************************************************
1406  *                                               1406  *                                                                     *
1407  * Name: HepPolyhedron::GetNextVertexIndex       1407  * Name: HepPolyhedron::GetNextVertexIndex          Date:    03.09.96  *
1408  * Author: Yasuhide Sawada                       1408  * Author: Yasuhide Sawada                          Revised:           *
1409  *                                               1409  *                                                                     *
1410  * Function:                                     1410  * Function:                                                           *
1411  *                                               1411  *                                                                     *
1412  ********************************************    1412  ***********************************************************************/
1413 {                                                1413 {
1414   static G4ThreadLocal G4int iFace = 1;          1414   static G4ThreadLocal G4int iFace = 1;
1415   static G4ThreadLocal G4int iQVertex = 0;       1415   static G4ThreadLocal G4int iQVertex = 0;
1416   G4int vIndex = pF[iFace].edge[iQVertex].v;     1416   G4int vIndex = pF[iFace].edge[iQVertex].v;
1417                                                  1417 
1418   edgeFlag = (vIndex > 0) ? 1 : 0;               1418   edgeFlag = (vIndex > 0) ? 1 : 0;
1419   index = std::abs(vIndex);                      1419   index = std::abs(vIndex);
1420                                                  1420 
1421   if (iQVertex >= 3 || pF[iFace].edge[iQVerte    1421   if (iQVertex >= 3 || pF[iFace].edge[iQVertex+1].v == 0) {
1422     iQVertex = 0;                                1422     iQVertex = 0;
1423     if (++iFace > nface) iFace = 1;              1423     if (++iFace > nface) iFace = 1;
1424     return false;  // Last Edge                  1424     return false;  // Last Edge
1425   }                                              1425   }
1426                                                  1426   
1427   ++iQVertex;                                    1427   ++iQVertex;
1428   return true;  // not Last Edge                 1428   return true;  // not Last Edge
1429 }                                                1429 }
1430                                                  1430 
1431 G4Point3D HepPolyhedron::GetVertex(G4int inde    1431 G4Point3D HepPolyhedron::GetVertex(G4int index) const
1432 /********************************************    1432 /***********************************************************************
1433  *                                               1433  *                                                                     *
1434  * Name: HepPolyhedron::GetVertex                1434  * Name: HepPolyhedron::GetVertex                   Date:    03.09.96  *
1435  * Author: Yasuhide Sawada                       1435  * Author: Yasuhide Sawada                          Revised: 17.11.99  *
1436  *                                               1436  *                                                                     *
1437  * Function: Get vertex of the index.            1437  * Function: Get vertex of the index.                                  *
1438  *                                               1438  *                                                                     *
1439  ********************************************    1439  ***********************************************************************/
1440 {                                                1440 {
1441   if (index <= 0 || index > nvert) {             1441   if (index <= 0 || index > nvert) {
1442     std::cerr                                    1442     std::cerr
1443       << "HepPolyhedron::GetVertex: irrelevan    1443       << "HepPolyhedron::GetVertex: irrelevant index " << index
1444       << std::endl;                              1444       << std::endl;
1445     return G4Point3D();                          1445     return G4Point3D();
1446   }                                              1446   }
1447   return pV[index];                              1447   return pV[index];
1448 }                                                1448 }
1449                                                  1449 
1450 G4bool                                           1450 G4bool
1451 HepPolyhedron::GetNextVertex(G4Point3D &verte    1451 HepPolyhedron::GetNextVertex(G4Point3D &vertex, G4int &edgeFlag) const
1452 /********************************************    1452 /***********************************************************************
1453  *                                               1453  *                                                                     *
1454  * Name: HepPolyhedron::GetNextVertex            1454  * Name: HepPolyhedron::GetNextVertex               Date:    22.07.96  *
1455  * Author: John Allison                          1455  * Author: John Allison                             Revised:           *
1456  *                                               1456  *                                                                     *
1457  * Function: Get vertices of the quadrilatera    1457  * Function: Get vertices of the quadrilaterals in order for each      *
1458  *           face in face order.  Returns fal    1458  *           face in face order.  Returns false when finished each     *
1459  *           face.                               1459  *           face.                                                     *
1460  *                                               1460  *                                                                     *
1461  ********************************************    1461  ***********************************************************************/
1462 {                                                1462 {
1463   G4int index;                                   1463   G4int index;
1464   G4bool rep = GetNextVertexIndex(index, edge    1464   G4bool rep = GetNextVertexIndex(index, edgeFlag);
1465   vertex = pV[index];                            1465   vertex = pV[index];
1466   return rep;                                    1466   return rep;
1467 }                                                1467 }
1468                                                  1468 
1469 G4bool HepPolyhedron::GetNextVertex(G4Point3D    1469 G4bool HepPolyhedron::GetNextVertex(G4Point3D &vertex, G4int &edgeFlag,
1470                                   G4Normal3D     1470                                   G4Normal3D &normal) const
1471 /********************************************    1471 /***********************************************************************
1472  *                                               1472  *                                                                     *
1473  * Name: HepPolyhedron::GetNextVertex            1473  * Name: HepPolyhedron::GetNextVertex               Date:    26.11.99  *
1474  * Author: E.Chernyaev                           1474  * Author: E.Chernyaev                              Revised:           *
1475  *                                               1475  *                                                                     *
1476  * Function: Get vertices with normals of the    1476  * Function: Get vertices with normals of the quadrilaterals in order  *
1477  *           for each face in face order.        1477  *           for each face in face order.                              *
1478  *           Returns false when finished each    1478  *           Returns false when finished each face.                    *
1479  *                                               1479  *                                                                     *
1480  ********************************************    1480  ***********************************************************************/
1481 {                                                1481 {
1482   static G4ThreadLocal G4int iFace = 1;          1482   static G4ThreadLocal G4int iFace = 1;
1483   static G4ThreadLocal G4int iNode = 0;          1483   static G4ThreadLocal G4int iNode = 0;
1484                                                  1484 
1485   if (nface == 0) return false;  // empty pol    1485   if (nface == 0) return false;  // empty polyhedron
1486                                                  1486 
1487   G4int k = pF[iFace].edge[iNode].v;             1487   G4int k = pF[iFace].edge[iNode].v;
1488   if (k > 0) { edgeFlag = 1; } else { edgeFla    1488   if (k > 0) { edgeFlag = 1; } else { edgeFlag = -1; k = -k; }
1489   vertex = pV[k];                                1489   vertex = pV[k];
1490   normal = FindNodeNormal(iFace,k);              1490   normal = FindNodeNormal(iFace,k);
1491   if (iNode >= 3 || pF[iFace].edge[iNode+1].v    1491   if (iNode >= 3 || pF[iFace].edge[iNode+1].v == 0) {
1492     iNode = 0;                                   1492     iNode = 0;
1493     if (++iFace > nface) iFace = 1;              1493     if (++iFace > nface) iFace = 1;
1494     return false;                // last node    1494     return false;                // last node
1495   }                                              1495   }
1496   ++iNode;                                       1496   ++iNode;
1497   return true;                 // not last no    1497   return true;                 // not last node
1498 }                                                1498 }
1499                                                  1499 
1500 G4bool HepPolyhedron::GetNextEdgeIndices(G4in    1500 G4bool HepPolyhedron::GetNextEdgeIndices(G4int &i1, G4int &i2, G4int &edgeFlag,
1501                                        G4int     1501                                        G4int &iface1, G4int &iface2) const
1502 /********************************************    1502 /***********************************************************************
1503  *                                               1503  *                                                                     *
1504  * Name: HepPolyhedron::GetNextEdgeIndices       1504  * Name: HepPolyhedron::GetNextEdgeIndices          Date:    30.09.96  *
1505  * Author: E.Chernyaev                           1505  * Author: E.Chernyaev                              Revised: 17.11.99  *
1506  *                                               1506  *                                                                     *
1507  * Function: Get indices of the next edge tog    1507  * Function: Get indices of the next edge together with indices of     *
1508  *           of the faces which share the edg    1508  *           of the faces which share the edge.                        *
1509  *           Returns false when the last edge    1509  *           Returns false when the last edge.                         *
1510  *                                               1510  *                                                                     *
1511  ********************************************    1511  ***********************************************************************/
1512 {                                                1512 {
1513   static G4ThreadLocal G4int iFace    = 1;       1513   static G4ThreadLocal G4int iFace    = 1;
1514   static G4ThreadLocal G4int iQVertex = 0;       1514   static G4ThreadLocal G4int iQVertex = 0;
1515   static G4ThreadLocal G4int iOrder   = 1;       1515   static G4ThreadLocal G4int iOrder   = 1;
1516   G4int  k1, k2, kflag, kface1, kface2;          1516   G4int  k1, k2, kflag, kface1, kface2;
1517                                                  1517 
1518   if (iFace == 1 && iQVertex == 0) {             1518   if (iFace == 1 && iQVertex == 0) {
1519     k2 = pF[nface].edge[0].v;                    1519     k2 = pF[nface].edge[0].v;
1520     k1 = pF[nface].edge[3].v;                    1520     k1 = pF[nface].edge[3].v;
1521     if (k1 == 0) k1 = pF[nface].edge[2].v;       1521     if (k1 == 0) k1 = pF[nface].edge[2].v;
1522     if (std::abs(k1) > std::abs(k2)) iOrder =    1522     if (std::abs(k1) > std::abs(k2)) iOrder = -1;
1523   }                                              1523   }
1524                                                  1524 
1525   do {                                           1525   do {
1526     k1     = pF[iFace].edge[iQVertex].v;         1526     k1     = pF[iFace].edge[iQVertex].v;
1527     kflag  = k1;                                 1527     kflag  = k1;
1528     k1     = std::abs(k1);                       1528     k1     = std::abs(k1);
1529     kface1 = iFace;                              1529     kface1 = iFace;
1530     kface2 = pF[iFace].edge[iQVertex].f;         1530     kface2 = pF[iFace].edge[iQVertex].f;
1531     if (iQVertex >= 3 || pF[iFace].edge[iQVer    1531     if (iQVertex >= 3 || pF[iFace].edge[iQVertex+1].v == 0) {
1532       iQVertex = 0;                              1532       iQVertex = 0;
1533       k2 = std::abs(pF[iFace].edge[iQVertex].    1533       k2 = std::abs(pF[iFace].edge[iQVertex].v);
1534       iFace++;                                   1534       iFace++;
1535     }else{                                       1535     }else{
1536       iQVertex++;                                1536       iQVertex++;
1537       k2 = std::abs(pF[iFace].edge[iQVertex].    1537       k2 = std::abs(pF[iFace].edge[iQVertex].v);
1538     }                                            1538     }
1539   } while (iOrder*k1 > iOrder*k2);               1539   } while (iOrder*k1 > iOrder*k2);
1540                                                  1540 
1541   i1 = k1; i2 = k2; edgeFlag = (kflag > 0) ?     1541   i1 = k1; i2 = k2; edgeFlag = (kflag > 0) ? 1 : 0;
1542   iface1 = kface1; iface2 = kface2;              1542   iface1 = kface1; iface2 = kface2;
1543                                                  1543 
1544   if (iFace > nface) {                           1544   if (iFace > nface) {
1545     iFace  = 1; iOrder = 1;                      1545     iFace  = 1; iOrder = 1;
1546     return false;                                1546     return false;
1547   }                                              1547   }
1548                                                  1548 
1549   return true;                                   1549   return true;
1550 }                                                1550 }
1551                                                  1551 
1552 G4bool                                           1552 G4bool
1553 HepPolyhedron::GetNextEdgeIndices(G4int &i1,     1553 HepPolyhedron::GetNextEdgeIndices(G4int &i1, G4int &i2, G4int &edgeFlag) const
1554 /********************************************    1554 /***********************************************************************
1555  *                                               1555  *                                                                     *
1556  * Name: HepPolyhedron::GetNextEdgeIndices       1556  * Name: HepPolyhedron::GetNextEdgeIndices          Date:    17.11.99  *
1557  * Author: E.Chernyaev                           1557  * Author: E.Chernyaev                              Revised:           *
1558  *                                               1558  *                                                                     *
1559  * Function: Get indices of the next edge.       1559  * Function: Get indices of the next edge.                             *
1560  *           Returns false when the last edge    1560  *           Returns false when the last edge.                         *
1561  *                                               1561  *                                                                     *
1562  ********************************************    1562  ***********************************************************************/
1563 {                                                1563 {
1564   G4int kface1, kface2;                          1564   G4int kface1, kface2;
1565   return GetNextEdgeIndices(i1, i2, edgeFlag,    1565   return GetNextEdgeIndices(i1, i2, edgeFlag, kface1, kface2);
1566 }                                                1566 }
1567                                                  1567 
1568 G4bool                                           1568 G4bool
1569 HepPolyhedron::GetNextEdge(G4Point3D &p1,        1569 HepPolyhedron::GetNextEdge(G4Point3D &p1,
1570                            G4Point3D &p2,        1570                            G4Point3D &p2,
1571                            G4int &edgeFlag) c    1571                            G4int &edgeFlag) const
1572 /********************************************    1572 /***********************************************************************
1573  *                                               1573  *                                                                     *
1574  * Name: HepPolyhedron::GetNextEdge              1574  * Name: HepPolyhedron::GetNextEdge                 Date:    30.09.96  *
1575  * Author: E.Chernyaev                           1575  * Author: E.Chernyaev                              Revised:           *
1576  *                                               1576  *                                                                     *
1577  * Function: Get next edge.                      1577  * Function: Get next edge.                                            *
1578  *           Returns false when the last edge    1578  *           Returns false when the last edge.                         *
1579  *                                               1579  *                                                                     *
1580  ********************************************    1580  ***********************************************************************/
1581 {                                                1581 {
1582   G4int i1,i2;                                   1582   G4int i1,i2;
1583   G4bool rep = GetNextEdgeIndices(i1,i2,edgeF    1583   G4bool rep = GetNextEdgeIndices(i1,i2,edgeFlag);
1584   p1 = pV[i1];                                   1584   p1 = pV[i1];
1585   p2 = pV[i2];                                   1585   p2 = pV[i2];
1586   return rep;                                    1586   return rep;
1587 }                                                1587 }
1588                                                  1588 
1589 G4bool                                           1589 G4bool
1590 HepPolyhedron::GetNextEdge(G4Point3D &p1, G4P    1590 HepPolyhedron::GetNextEdge(G4Point3D &p1, G4Point3D &p2,
1591                           G4int &edgeFlag, G4    1591                           G4int &edgeFlag, G4int &iface1, G4int &iface2) const
1592 /********************************************    1592 /***********************************************************************
1593  *                                               1593  *                                                                     *
1594  * Name: HepPolyhedron::GetNextEdge              1594  * Name: HepPolyhedron::GetNextEdge                 Date:    17.11.99  *
1595  * Author: E.Chernyaev                           1595  * Author: E.Chernyaev                              Revised:           *
1596  *                                               1596  *                                                                     *
1597  * Function: Get next edge with indices of th    1597  * Function: Get next edge with indices of the faces which share       *
1598  *           the edge.                           1598  *           the edge.                                                 *
1599  *           Returns false when the last edge    1599  *           Returns false when the last edge.                         *
1600  *                                               1600  *                                                                     *
1601  ********************************************    1601  ***********************************************************************/
1602 {                                                1602 {
1603   G4int i1,i2;                                   1603   G4int i1,i2;
1604   G4bool rep = GetNextEdgeIndices(i1,i2,edgeF    1604   G4bool rep = GetNextEdgeIndices(i1,i2,edgeFlag,iface1,iface2);
1605   p1 = pV[i1];                                   1605   p1 = pV[i1];
1606   p2 = pV[i2];                                   1606   p2 = pV[i2];
1607   return rep;                                    1607   return rep;
1608 }                                                1608 }
1609                                                  1609 
1610 void HepPolyhedron::GetFacet(G4int iFace, G4i    1610 void HepPolyhedron::GetFacet(G4int iFace, G4int &n, G4int *iNodes,
1611                             G4int *edgeFlags,    1611                             G4int *edgeFlags, G4int *iFaces) const
1612 /********************************************    1612 /***********************************************************************
1613  *                                               1613  *                                                                     *
1614  * Name: HepPolyhedron::GetFacet                 1614  * Name: HepPolyhedron::GetFacet                    Date:    15.12.99  *
1615  * Author: E.Chernyaev                           1615  * Author: E.Chernyaev                              Revised:           *
1616  *                                               1616  *                                                                     *
1617  * Function: Get face by index                   1617  * Function: Get face by index                                         *
1618  *                                               1618  *                                                                     *
1619  ********************************************    1619  ***********************************************************************/
1620 {                                                1620 {
1621   if (iFace < 1 || iFace > nface) {              1621   if (iFace < 1 || iFace > nface) {
1622     std::cerr                                    1622     std::cerr
1623       << "HepPolyhedron::GetFacet: irrelevant    1623       << "HepPolyhedron::GetFacet: irrelevant index " << iFace
1624       << std::endl;                              1624       << std::endl;
1625     n = 0;                                       1625     n = 0;
1626   }else{                                         1626   }else{
1627     G4int i, k;                                  1627     G4int i, k;
1628     for (i=0; i<4; i++) {                        1628     for (i=0; i<4; i++) {
1629       k = pF[iFace].edge[i].v;                   1629       k = pF[iFace].edge[i].v;
1630       if (k == 0) break;                         1630       if (k == 0) break;
1631       if (iFaces != nullptr) iFaces[i] = pF[i    1631       if (iFaces != nullptr) iFaces[i] = pF[iFace].edge[i].f;
1632       if (k > 0) {                               1632       if (k > 0) {
1633         iNodes[i] = k;                           1633         iNodes[i] = k;
1634         if (edgeFlags != nullptr) edgeFlags[i    1634         if (edgeFlags != nullptr) edgeFlags[i] = 1;
1635       }else{                                     1635       }else{
1636         iNodes[i] = -k;                          1636         iNodes[i] = -k;
1637         if (edgeFlags != nullptr) edgeFlags[i    1637         if (edgeFlags != nullptr) edgeFlags[i] = -1;
1638       }                                          1638       }
1639     }                                            1639     }
1640     n = i;                                       1640     n = i;
1641   }                                              1641   }
1642 }                                                1642 }
1643                                                  1643 
1644 void HepPolyhedron::GetFacet(G4int index, G4i    1644 void HepPolyhedron::GetFacet(G4int index, G4int &n, G4Point3D *nodes,
1645                              G4int *edgeFlags    1645                              G4int *edgeFlags, G4Normal3D *normals) const
1646 /********************************************    1646 /***********************************************************************
1647  *                                               1647  *                                                                     *
1648  * Name: HepPolyhedron::GetFacet                 1648  * Name: HepPolyhedron::GetFacet                    Date:    17.11.99  *
1649  * Author: E.Chernyaev                           1649  * Author: E.Chernyaev                              Revised:           *
1650  *                                               1650  *                                                                     *
1651  * Function: Get face by index                   1651  * Function: Get face by index                                         *
1652  *                                               1652  *                                                                     *
1653  ********************************************    1653  ***********************************************************************/
1654 {                                                1654 {
1655   G4int iNodes[4];                               1655   G4int iNodes[4];
1656   GetFacet(index, n, iNodes, edgeFlags);         1656   GetFacet(index, n, iNodes, edgeFlags);
1657   if (n != 0) {                                  1657   if (n != 0) {
1658     for (G4int i=0; i<n; i++) {                  1658     for (G4int i=0; i<n; i++) {
1659       nodes[i] = pV[iNodes[i]];                  1659       nodes[i] = pV[iNodes[i]];
1660       if (normals != nullptr) normals[i] = Fi    1660       if (normals != nullptr) normals[i] = FindNodeNormal(index,iNodes[i]);
1661     }                                            1661     }
1662   }                                              1662   }
1663 }                                                1663 }
1664                                                  1664 
1665 G4bool                                           1665 G4bool
1666 HepPolyhedron::GetNextFacet(G4int &n, G4Point    1666 HepPolyhedron::GetNextFacet(G4int &n, G4Point3D *nodes,
1667                            G4int *edgeFlags,     1667                            G4int *edgeFlags, G4Normal3D *normals) const
1668 /********************************************    1668 /***********************************************************************
1669  *                                               1669  *                                                                     *
1670  * Name: HepPolyhedron::GetNextFacet             1670  * Name: HepPolyhedron::GetNextFacet                Date:    19.11.99  *
1671  * Author: E.Chernyaev                           1671  * Author: E.Chernyaev                              Revised:           *
1672  *                                               1672  *                                                                     *
1673  * Function: Get next face with normals of un    1673  * Function: Get next face with normals of unit length at the nodes.   *
1674  *           Returns false when finished all     1674  *           Returns false when finished all faces.                    *
1675  *                                               1675  *                                                                     *
1676  ********************************************    1676  ***********************************************************************/
1677 {                                                1677 {
1678   static G4ThreadLocal G4int iFace = 1;          1678   static G4ThreadLocal G4int iFace = 1;
1679                                                  1679 
1680   if (edgeFlags == nullptr) {                    1680   if (edgeFlags == nullptr) {
1681     GetFacet(iFace, n, nodes);                   1681     GetFacet(iFace, n, nodes);
1682   }else if (normals == nullptr) {                1682   }else if (normals == nullptr) {
1683     GetFacet(iFace, n, nodes, edgeFlags);        1683     GetFacet(iFace, n, nodes, edgeFlags);
1684   }else{                                         1684   }else{
1685     GetFacet(iFace, n, nodes, edgeFlags, norm    1685     GetFacet(iFace, n, nodes, edgeFlags, normals);
1686   }                                              1686   }
1687                                                  1687 
1688   if (++iFace > nface) {                         1688   if (++iFace > nface) {
1689     iFace  = 1;                                  1689     iFace  = 1;
1690     return false;                                1690     return false;
1691   }                                              1691   }
1692                                                  1692 
1693   return true;                                   1693   return true;
1694 }                                                1694 }
1695                                                  1695 
1696 G4Normal3D HepPolyhedron::GetNormal(G4int iFa    1696 G4Normal3D HepPolyhedron::GetNormal(G4int iFace) const
1697 /********************************************    1697 /***********************************************************************
1698  *                                               1698  *                                                                     *
1699  * Name: HepPolyhedron::GetNormal                1699  * Name: HepPolyhedron::GetNormal                    Date:    19.11.99 *
1700  * Author: E.Chernyaev                           1700  * Author: E.Chernyaev                               Revised:          *
1701  *                                               1701  *                                                                     *
1702  * Function: Get normal of the face given by     1702  * Function: Get normal of the face given by index                     *
1703  *                                               1703  *                                                                     *
1704  ********************************************    1704  ***********************************************************************/
1705 {                                                1705 {
1706   if (iFace < 1 || iFace > nface) {              1706   if (iFace < 1 || iFace > nface) {
1707     std::cerr                                    1707     std::cerr
1708       << "HepPolyhedron::GetNormal: irrelevan    1708       << "HepPolyhedron::GetNormal: irrelevant index " << iFace
1709       << std::endl;                              1709       << std::endl;
1710     return G4Normal3D();                         1710     return G4Normal3D();
1711   }                                              1711   }
1712                                                  1712 
1713   G4int i0  = std::abs(pF[iFace].edge[0].v);     1713   G4int i0  = std::abs(pF[iFace].edge[0].v);
1714   G4int i1  = std::abs(pF[iFace].edge[1].v);     1714   G4int i1  = std::abs(pF[iFace].edge[1].v);
1715   G4int i2  = std::abs(pF[iFace].edge[2].v);     1715   G4int i2  = std::abs(pF[iFace].edge[2].v);
1716   G4int i3  = std::abs(pF[iFace].edge[3].v);     1716   G4int i3  = std::abs(pF[iFace].edge[3].v);
1717   if (i3 == 0) i3 = i0;                          1717   if (i3 == 0) i3 = i0;
1718   return (pV[i2] - pV[i0]).cross(pV[i3] - pV[    1718   return (pV[i2] - pV[i0]).cross(pV[i3] - pV[i1]);
1719 }                                                1719 }
1720                                                  1720 
1721 G4Normal3D HepPolyhedron::GetUnitNormal(G4int    1721 G4Normal3D HepPolyhedron::GetUnitNormal(G4int iFace) const
1722 /********************************************    1722 /***********************************************************************
1723  *                                               1723  *                                                                     *
1724  * Name: HepPolyhedron::GetNormal                1724  * Name: HepPolyhedron::GetNormal                    Date:    19.11.99 *
1725  * Author: E.Chernyaev                           1725  * Author: E.Chernyaev                               Revised:          *
1726  *                                               1726  *                                                                     *
1727  * Function: Get unit normal of the face give    1727  * Function: Get unit normal of the face given by index                *
1728  *                                               1728  *                                                                     *
1729  ********************************************    1729  ***********************************************************************/
1730 {                                                1730 {
1731   if (iFace < 1 || iFace > nface) {              1731   if (iFace < 1 || iFace > nface) {
1732     std::cerr                                    1732     std::cerr
1733       << "HepPolyhedron::GetUnitNormal: irrel    1733       << "HepPolyhedron::GetUnitNormal: irrelevant index " << iFace
1734       << std::endl;                              1734       << std::endl;
1735     return G4Normal3D();                         1735     return G4Normal3D();
1736   }                                              1736   }
1737                                                  1737 
1738   G4int i0  = std::abs(pF[iFace].edge[0].v);     1738   G4int i0  = std::abs(pF[iFace].edge[0].v);
1739   G4int i1  = std::abs(pF[iFace].edge[1].v);     1739   G4int i1  = std::abs(pF[iFace].edge[1].v);
1740   G4int i2  = std::abs(pF[iFace].edge[2].v);     1740   G4int i2  = std::abs(pF[iFace].edge[2].v);
1741   G4int i3  = std::abs(pF[iFace].edge[3].v);     1741   G4int i3  = std::abs(pF[iFace].edge[3].v);
1742   if (i3 == 0) i3 = i0;                          1742   if (i3 == 0) i3 = i0;
1743   return ((pV[i2] - pV[i0]).cross(pV[i3] - pV    1743   return ((pV[i2] - pV[i0]).cross(pV[i3] - pV[i1])).unit();
1744 }                                                1744 }
1745                                                  1745 
1746 G4bool HepPolyhedron::GetNextNormal(G4Normal3    1746 G4bool HepPolyhedron::GetNextNormal(G4Normal3D &normal) const
1747 /********************************************    1747 /***********************************************************************
1748  *                                               1748  *                                                                     *
1749  * Name: HepPolyhedron::GetNextNormal            1749  * Name: HepPolyhedron::GetNextNormal               Date:    22.07.96  *
1750  * Author: John Allison                          1750  * Author: John Allison                             Revised: 19.11.99  *
1751  *                                               1751  *                                                                     *
1752  * Function: Get normals of each face in face    1752  * Function: Get normals of each face in face order.  Returns false    *
1753  *           when finished all faces.            1753  *           when finished all faces.                                  *
1754  *                                               1754  *                                                                     *
1755  ********************************************    1755  ***********************************************************************/
1756 {                                                1756 {
1757   static G4ThreadLocal G4int iFace = 1;          1757   static G4ThreadLocal G4int iFace = 1;
1758   normal = GetNormal(iFace);                     1758   normal = GetNormal(iFace);
1759   if (++iFace > nface) {                         1759   if (++iFace > nface) {
1760     iFace = 1;                                   1760     iFace = 1;
1761     return false;                                1761     return false;
1762   }                                              1762   }
1763   return true;                                   1763   return true;
1764 }                                                1764 }
1765                                                  1765 
1766 G4bool HepPolyhedron::GetNextUnitNormal(G4Nor    1766 G4bool HepPolyhedron::GetNextUnitNormal(G4Normal3D &normal) const
1767 /********************************************    1767 /***********************************************************************
1768  *                                               1768  *                                                                     *
1769  * Name: HepPolyhedron::GetNextUnitNormal        1769  * Name: HepPolyhedron::GetNextUnitNormal           Date:    16.09.96  *
1770  * Author: E.Chernyaev                           1770  * Author: E.Chernyaev                              Revised:           *
1771  *                                               1771  *                                                                     *
1772  * Function: Get normals of unit length of ea    1772  * Function: Get normals of unit length of each face in face order.    *
1773  *           Returns false when finished all     1773  *           Returns false when finished all faces.                    *
1774  *                                               1774  *                                                                     *
1775  ********************************************    1775  ***********************************************************************/
1776 {                                                1776 {
1777   G4bool rep = GetNextNormal(normal);            1777   G4bool rep = GetNextNormal(normal);
1778   normal = normal.unit();                        1778   normal = normal.unit();
1779   return rep;                                    1779   return rep;
1780 }                                                1780 }
1781                                                  1781 
1782 G4double HepPolyhedron::GetSurfaceArea() cons    1782 G4double HepPolyhedron::GetSurfaceArea() const
1783 /********************************************    1783 /***********************************************************************
1784  *                                               1784  *                                                                     *
1785  * Name: HepPolyhedron::GetSurfaceArea           1785  * Name: HepPolyhedron::GetSurfaceArea              Date:    25.05.01  *
1786  * Author: E.Chernyaev                           1786  * Author: E.Chernyaev                              Revised:           *
1787  *                                               1787  *                                                                     *
1788  * Function: Returns area of the surface of t    1788  * Function: Returns area of the surface of the polyhedron.            *
1789  *                                               1789  *                                                                     *
1790  ********************************************    1790  ***********************************************************************/
1791 {                                                1791 {
1792   G4double srf = 0.;                             1792   G4double srf = 0.;
1793   for (G4int iFace=1; iFace<=nface; iFace++)     1793   for (G4int iFace=1; iFace<=nface; iFace++) {
1794     G4int i0 = std::abs(pF[iFace].edge[0].v);    1794     G4int i0 = std::abs(pF[iFace].edge[0].v);
1795     G4int i1 = std::abs(pF[iFace].edge[1].v);    1795     G4int i1 = std::abs(pF[iFace].edge[1].v);
1796     G4int i2 = std::abs(pF[iFace].edge[2].v);    1796     G4int i2 = std::abs(pF[iFace].edge[2].v);
1797     G4int i3 = std::abs(pF[iFace].edge[3].v);    1797     G4int i3 = std::abs(pF[iFace].edge[3].v);
1798     if (i3 == 0) i3 = i0;                        1798     if (i3 == 0) i3 = i0;
1799     srf += ((pV[i2] - pV[i0]).cross(pV[i3] -     1799     srf += ((pV[i2] - pV[i0]).cross(pV[i3] - pV[i1])).mag();
1800   }                                              1800   }
1801   return srf/2.;                                 1801   return srf/2.;
1802 }                                                1802 }
1803                                                  1803 
1804 G4double HepPolyhedron::GetVolume() const        1804 G4double HepPolyhedron::GetVolume() const
1805 /********************************************    1805 /***********************************************************************
1806  *                                               1806  *                                                                     *
1807  * Name: HepPolyhedron::GetVolume                1807  * Name: HepPolyhedron::GetVolume                   Date:    25.05.01  *
1808  * Author: E.Chernyaev                           1808  * Author: E.Chernyaev                              Revised:           *
1809  *                                               1809  *                                                                     *
1810  * Function: Returns volume of the polyhedron    1810  * Function: Returns volume of the polyhedron.                         *
1811  *                                               1811  *                                                                     *
1812  ********************************************    1812  ***********************************************************************/
1813 {                                                1813 {
1814   G4double v = 0.;                               1814   G4double v = 0.;
1815   for (G4int iFace=1; iFace<=nface; iFace++)     1815   for (G4int iFace=1; iFace<=nface; iFace++) {
1816     G4int i0 = std::abs(pF[iFace].edge[0].v);    1816     G4int i0 = std::abs(pF[iFace].edge[0].v);
1817     G4int i1 = std::abs(pF[iFace].edge[1].v);    1817     G4int i1 = std::abs(pF[iFace].edge[1].v);
1818     G4int i2 = std::abs(pF[iFace].edge[2].v);    1818     G4int i2 = std::abs(pF[iFace].edge[2].v);
1819     G4int i3 = std::abs(pF[iFace].edge[3].v);    1819     G4int i3 = std::abs(pF[iFace].edge[3].v);
1820     G4Point3D pt;                                1820     G4Point3D pt;
1821     if (i3 == 0) {                               1821     if (i3 == 0) {
1822       i3 = i0;                                   1822       i3 = i0;
1823       pt = (pV[i0]+pV[i1]+pV[i2]) * (1./3.);     1823       pt = (pV[i0]+pV[i1]+pV[i2]) * (1./3.);
1824     }else{                                       1824     }else{
1825       pt = (pV[i0]+pV[i1]+pV[i2]+pV[i3]) * 0.    1825       pt = (pV[i0]+pV[i1]+pV[i2]+pV[i3]) * 0.25;
1826     }                                            1826     }
1827     v += ((pV[i2] - pV[i0]).cross(pV[i3] - pV    1827     v += ((pV[i2] - pV[i0]).cross(pV[i3] - pV[i1])).dot(pt);
1828   }                                              1828   }
1829   return v/6.;                                   1829   return v/6.;
1830 }                                                1830 }
1831                                                  1831 
1832 G4int                                            1832 G4int
1833 HepPolyhedron::createTwistedTrap(G4double Dz,    1833 HepPolyhedron::createTwistedTrap(G4double Dz,
1834                                  const G4doub    1834                                  const G4double xy1[][2],
1835                                  const G4doub    1835                                  const G4double xy2[][2])
1836 /********************************************    1836 /***********************************************************************
1837  *                                               1837  *                                                                     *
1838  * Name: createTwistedTrap                       1838  * Name: createTwistedTrap                           Date:    05.11.02 *
1839  * Author: E.Chernyaev (IHEP/Protvino)           1839  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
1840  *                                               1840  *                                                                     *
1841  * Function: Creates polyhedron for twisted t    1841  * Function: Creates polyhedron for twisted trapezoid                  *
1842  *                                               1842  *                                                                     *
1843  * Input: Dz       - half-length along Z         1843  * Input: Dz       - half-length along Z             8----7            *
1844  *        xy1[2,4] - quadrilateral at Z=-Dz      1844  *        xy1[2,4] - quadrilateral at Z=-Dz       5----6  !            *
1845  *        xy2[2,4] - quadrilateral at Z=+Dz      1845  *        xy2[2,4] - quadrilateral at Z=+Dz       !  4-!--3            *
1846  *                                               1846  *                                                1----2               *
1847  *                                               1847  *                                                                     *
1848  ********************************************    1848  ***********************************************************************/
1849 {                                                1849 {
1850   AllocateMemory(12,18);                         1850   AllocateMemory(12,18);
1851                                                  1851 
1852   pV[ 1] = G4Point3D(xy1[0][0],xy1[0][1],-Dz)    1852   pV[ 1] = G4Point3D(xy1[0][0],xy1[0][1],-Dz);
1853   pV[ 2] = G4Point3D(xy1[1][0],xy1[1][1],-Dz)    1853   pV[ 2] = G4Point3D(xy1[1][0],xy1[1][1],-Dz);
1854   pV[ 3] = G4Point3D(xy1[2][0],xy1[2][1],-Dz)    1854   pV[ 3] = G4Point3D(xy1[2][0],xy1[2][1],-Dz);
1855   pV[ 4] = G4Point3D(xy1[3][0],xy1[3][1],-Dz)    1855   pV[ 4] = G4Point3D(xy1[3][0],xy1[3][1],-Dz);
1856                                                  1856 
1857   pV[ 5] = G4Point3D(xy2[0][0],xy2[0][1], Dz)    1857   pV[ 5] = G4Point3D(xy2[0][0],xy2[0][1], Dz);
1858   pV[ 6] = G4Point3D(xy2[1][0],xy2[1][1], Dz)    1858   pV[ 6] = G4Point3D(xy2[1][0],xy2[1][1], Dz);
1859   pV[ 7] = G4Point3D(xy2[2][0],xy2[2][1], Dz)    1859   pV[ 7] = G4Point3D(xy2[2][0],xy2[2][1], Dz);
1860   pV[ 8] = G4Point3D(xy2[3][0],xy2[3][1], Dz)    1860   pV[ 8] = G4Point3D(xy2[3][0],xy2[3][1], Dz);
1861                                                  1861 
1862   pV[ 9] = (pV[1]+pV[2]+pV[5]+pV[6])/4.;         1862   pV[ 9] = (pV[1]+pV[2]+pV[5]+pV[6])/4.;
1863   pV[10] = (pV[2]+pV[3]+pV[6]+pV[7])/4.;         1863   pV[10] = (pV[2]+pV[3]+pV[6]+pV[7])/4.;
1864   pV[11] = (pV[3]+pV[4]+pV[7]+pV[8])/4.;         1864   pV[11] = (pV[3]+pV[4]+pV[7]+pV[8])/4.;
1865   pV[12] = (pV[4]+pV[1]+pV[8]+pV[5])/4.;         1865   pV[12] = (pV[4]+pV[1]+pV[8]+pV[5])/4.;
1866                                                  1866 
1867   enum {DUMMY, BOTTOM,                           1867   enum {DUMMY, BOTTOM,
1868         LEFT_BOTTOM,  LEFT_FRONT,   LEFT_TOP,    1868         LEFT_BOTTOM,  LEFT_FRONT,   LEFT_TOP,  LEFT_BACK,
1869         BACK_BOTTOM,  BACK_LEFT,    BACK_TOP,    1869         BACK_BOTTOM,  BACK_LEFT,    BACK_TOP,  BACK_RIGHT,
1870         RIGHT_BOTTOM, RIGHT_BACK,   RIGHT_TOP    1870         RIGHT_BOTTOM, RIGHT_BACK,   RIGHT_TOP, RIGHT_FRONT,
1871         FRONT_BOTTOM, FRONT_RIGHT,  FRONT_TOP    1871         FRONT_BOTTOM, FRONT_RIGHT,  FRONT_TOP, FRONT_LEFT,
1872         TOP};                                    1872         TOP};
1873                                                  1873 
1874   pF[ 1]=G4Facet(1,LEFT_BOTTOM, 4,BACK_BOTTOM    1874   pF[ 1]=G4Facet(1,LEFT_BOTTOM, 4,BACK_BOTTOM, 3,RIGHT_BOTTOM, 2,FRONT_BOTTOM);
1875                                                  1875 
1876   pF[ 2]=G4Facet(4,BOTTOM,     -1,LEFT_FRONT,    1876   pF[ 2]=G4Facet(4,BOTTOM,     -1,LEFT_FRONT,  -12,LEFT_BACK,    0,0);
1877   pF[ 3]=G4Facet(1,FRONT_LEFT, -5,LEFT_TOP,      1877   pF[ 3]=G4Facet(1,FRONT_LEFT, -5,LEFT_TOP,    -12,LEFT_BOTTOM,  0,0);
1878   pF[ 4]=G4Facet(5,TOP,        -8,LEFT_BACK,     1878   pF[ 4]=G4Facet(5,TOP,        -8,LEFT_BACK,   -12,LEFT_FRONT,   0,0);
1879   pF[ 5]=G4Facet(8,BACK_LEFT,  -4,LEFT_BOTTOM    1879   pF[ 5]=G4Facet(8,BACK_LEFT,  -4,LEFT_BOTTOM, -12,LEFT_TOP,     0,0);
1880                                                  1880 
1881   pF[ 6]=G4Facet(3,BOTTOM,     -4,BACK_LEFT,     1881   pF[ 6]=G4Facet(3,BOTTOM,     -4,BACK_LEFT,   -11,BACK_RIGHT,   0,0);
1882   pF[ 7]=G4Facet(4,LEFT_BACK,  -8,BACK_TOP,      1882   pF[ 7]=G4Facet(4,LEFT_BACK,  -8,BACK_TOP,    -11,BACK_BOTTOM,  0,0);
1883   pF[ 8]=G4Facet(8,TOP,        -7,BACK_RIGHT,    1883   pF[ 8]=G4Facet(8,TOP,        -7,BACK_RIGHT,  -11,BACK_LEFT,    0,0);
1884   pF[ 9]=G4Facet(7,RIGHT_BACK, -3,BACK_BOTTOM    1884   pF[ 9]=G4Facet(7,RIGHT_BACK, -3,BACK_BOTTOM, -11,BACK_TOP,     0,0);
1885                                                  1885 
1886   pF[10]=G4Facet(2,BOTTOM,     -3,RIGHT_BACK,    1886   pF[10]=G4Facet(2,BOTTOM,     -3,RIGHT_BACK,  -10,RIGHT_FRONT,  0,0);
1887   pF[11]=G4Facet(3,BACK_RIGHT, -7,RIGHT_TOP,     1887   pF[11]=G4Facet(3,BACK_RIGHT, -7,RIGHT_TOP,   -10,RIGHT_BOTTOM, 0,0);
1888   pF[12]=G4Facet(7,TOP,        -6,RIGHT_FRONT    1888   pF[12]=G4Facet(7,TOP,        -6,RIGHT_FRONT, -10,RIGHT_BACK,   0,0);
1889   pF[13]=G4Facet(6,FRONT_RIGHT,-2,RIGHT_BOTTO    1889   pF[13]=G4Facet(6,FRONT_RIGHT,-2,RIGHT_BOTTOM,-10,RIGHT_TOP,    0,0);
1890                                                  1890 
1891   pF[14]=G4Facet(1,BOTTOM,     -2,FRONT_RIGHT    1891   pF[14]=G4Facet(1,BOTTOM,     -2,FRONT_RIGHT,  -9,FRONT_LEFT,   0,0);
1892   pF[15]=G4Facet(2,RIGHT_FRONT,-6,FRONT_TOP,     1892   pF[15]=G4Facet(2,RIGHT_FRONT,-6,FRONT_TOP,    -9,FRONT_BOTTOM, 0,0);
1893   pF[16]=G4Facet(6,TOP,        -5,FRONT_LEFT,    1893   pF[16]=G4Facet(6,TOP,        -5,FRONT_LEFT,   -9,FRONT_RIGHT,  0,0);
1894   pF[17]=G4Facet(5,LEFT_FRONT, -1,FRONT_BOTTO    1894   pF[17]=G4Facet(5,LEFT_FRONT, -1,FRONT_BOTTOM, -9,FRONT_TOP,    0,0);
1895                                                  1895 
1896   pF[18]=G4Facet(5,FRONT_TOP, 6,RIGHT_TOP, 7,    1896   pF[18]=G4Facet(5,FRONT_TOP, 6,RIGHT_TOP, 7,BACK_TOP, 8,LEFT_TOP);
1897                                                  1897 
1898   return 0;                                      1898   return 0;
1899 }                                                1899 }
1900                                                  1900 
1901 G4int                                            1901 G4int
1902 HepPolyhedron::createPolyhedron(G4int Nnodes,    1902 HepPolyhedron::createPolyhedron(G4int Nnodes, G4int Nfaces,
1903                                 const G4doubl    1903                                 const G4double xyz[][3],
1904                                 const G4int      1904                                 const G4int  faces[][4])
1905 /********************************************    1905 /***********************************************************************
1906  *                                               1906  *                                                                     *
1907  * Name: createPolyhedron                        1907  * Name: createPolyhedron                            Date:    05.11.02 *
1908  * Author: E.Chernyaev (IHEP/Protvino)           1908  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
1909  *                                               1909  *                                                                     *
1910  * Function: Creates user defined polyhedron     1910  * Function: Creates user defined polyhedron                           *
1911  *                                               1911  *                                                                     *
1912  * Input: Nnodes  - number of nodes              1912  * Input: Nnodes  - number of nodes                                    *
1913  *        Nfaces  - number of faces              1913  *        Nfaces  - number of faces                                    *
1914  *        nodes[][3] - node coordinates          1914  *        nodes[][3] - node coordinates                                *
1915  *        faces[][4] - faces                     1915  *        faces[][4] - faces                                           *
1916  *                                               1916  *                                                                     *
1917  ********************************************    1917  ***********************************************************************/
1918 {                                                1918 {
1919   AllocateMemory(Nnodes, Nfaces);                1919   AllocateMemory(Nnodes, Nfaces);
1920   if (nvert == 0) return 1;                      1920   if (nvert == 0) return 1;
1921                                                  1921 
1922   for (G4int i=0; i<Nnodes; i++) {               1922   for (G4int i=0; i<Nnodes; i++) {
1923     pV[i+1] = G4Point3D(xyz[i][0], xyz[i][1],    1923     pV[i+1] = G4Point3D(xyz[i][0], xyz[i][1], xyz[i][2]);
1924   }                                              1924   }
1925   for (G4int k=0; k<Nfaces; k++) {               1925   for (G4int k=0; k<Nfaces; k++) {
1926     pF[k+1] = G4Facet(faces[k][0],0,faces[k][    1926     pF[k+1] = G4Facet(faces[k][0],0,faces[k][1],0,faces[k][2],0,faces[k][3],0);
1927   }                                              1927   }
1928   SetReferences();                               1928   SetReferences();
1929   return 0;                                      1929   return 0;
1930 }                                                1930 }
1931                                                  1931 
1932 G4Point3D HepPolyhedron::vertexUnweightedMean    1932 G4Point3D HepPolyhedron::vertexUnweightedMean() const {
1933   /******************************************    1933   /***********************************************************************
1934    *                                             1934    *                                                                     *
1935    * Name: vertexUnweightedMean                  1935    * Name: vertexUnweightedMean                        Date:    23.10.23 *
1936    * Author: S. Boogert (Manchester)             1936    * Author: S. Boogert (Manchester)                   Revised:          *
1937    *                                             1937    *                                                                     *
1938    * Function: Calculate the unweighted mean     1938    * Function: Calculate the unweighted mean of all the vertices         *
1939    * in the polyhedron. Not to be confused wi    1939    * in the polyhedron. Not to be confused with the polyhedron centre or *
1940    * centre of mass                              1940    * centre of mass                                                      *
1941    ******************************************    1941    ***********************************************************************/
1942                                                  1942 
1943   auto centre = G4Point3D();                     1943   auto centre = G4Point3D();
1944   for(int i=1;i<=nvert;i++) {                    1944   for(int i=1;i<=nvert;i++) {
1945     centre += pV[i];                             1945     centre += pV[i];
1946   }                                              1946   }
1947   centre = centre/nvert;                         1947   centre = centre/nvert;
1948   return centre;                                 1948   return centre;
1949 }                                                1949 }
1950                                                  1950 
1951 HepPolyhedronTrd2::HepPolyhedronTrd2(G4double    1951 HepPolyhedronTrd2::HepPolyhedronTrd2(G4double Dx1, G4double Dx2,
1952                                      G4double    1952                                      G4double Dy1, G4double Dy2,
1953                                      G4double    1953                                      G4double Dz)
1954 /********************************************    1954 /***********************************************************************
1955  *                                               1955  *                                                                     *
1956  * Name: HepPolyhedronTrd2                       1956  * Name: HepPolyhedronTrd2                           Date:    22.07.96 *
1957  * Author: E.Chernyaev (IHEP/Protvino)           1957  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
1958  *                                               1958  *                                                                     *
1959  * Function: Create GEANT4 TRD2-trapezoid        1959  * Function: Create GEANT4 TRD2-trapezoid                              *
1960  *                                               1960  *                                                                     *
1961  * Input: Dx1 - half-length along X at -Dz       1961  * Input: Dx1 - half-length along X at -Dz           8----7            *
1962  *        Dx2 - half-length along X ay +Dz       1962  *        Dx2 - half-length along X ay +Dz        5----6  !            *
1963  *        Dy1 - half-length along Y ay -Dz       1963  *        Dy1 - half-length along Y ay -Dz        !  4-!--3            *
1964  *        Dy2 - half-length along Y ay +Dz       1964  *        Dy2 - half-length along Y ay +Dz        1----2               *
1965  *        Dz  - half-length along Z              1965  *        Dz  - half-length along Z                                    *
1966  *                                               1966  *                                                                     *
1967  ********************************************    1967  ***********************************************************************/
1968 {                                                1968 {
1969   AllocateMemory(8,6);                           1969   AllocateMemory(8,6);
1970                                                  1970 
1971   pV[1] = G4Point3D(-Dx1,-Dy1,-Dz);              1971   pV[1] = G4Point3D(-Dx1,-Dy1,-Dz);
1972   pV[2] = G4Point3D( Dx1,-Dy1,-Dz);              1972   pV[2] = G4Point3D( Dx1,-Dy1,-Dz);
1973   pV[3] = G4Point3D( Dx1, Dy1,-Dz);              1973   pV[3] = G4Point3D( Dx1, Dy1,-Dz);
1974   pV[4] = G4Point3D(-Dx1, Dy1,-Dz);              1974   pV[4] = G4Point3D(-Dx1, Dy1,-Dz);
1975   pV[5] = G4Point3D(-Dx2,-Dy2, Dz);              1975   pV[5] = G4Point3D(-Dx2,-Dy2, Dz);
1976   pV[6] = G4Point3D( Dx2,-Dy2, Dz);              1976   pV[6] = G4Point3D( Dx2,-Dy2, Dz);
1977   pV[7] = G4Point3D( Dx2, Dy2, Dz);              1977   pV[7] = G4Point3D( Dx2, Dy2, Dz);
1978   pV[8] = G4Point3D(-Dx2, Dy2, Dz);              1978   pV[8] = G4Point3D(-Dx2, Dy2, Dz);
1979                                                  1979 
1980   CreatePrism();                                 1980   CreatePrism();
1981 }                                                1981 }
1982                                                  1982 
1983 HepPolyhedronTrd2::~HepPolyhedronTrd2() = def    1983 HepPolyhedronTrd2::~HepPolyhedronTrd2() = default;
1984                                                  1984 
1985 HepPolyhedronTrd1::HepPolyhedronTrd1(G4double    1985 HepPolyhedronTrd1::HepPolyhedronTrd1(G4double Dx1, G4double Dx2,
1986                                      G4double    1986                                      G4double Dy, G4double Dz)
1987   : HepPolyhedronTrd2(Dx1, Dx2, Dy, Dy, Dz) {    1987   : HepPolyhedronTrd2(Dx1, Dx2, Dy, Dy, Dz) {}
1988                                                  1988 
1989 HepPolyhedronTrd1::~HepPolyhedronTrd1() = def    1989 HepPolyhedronTrd1::~HepPolyhedronTrd1() = default;
1990                                                  1990 
1991 HepPolyhedronBox::HepPolyhedronBox(G4double D    1991 HepPolyhedronBox::HepPolyhedronBox(G4double Dx, G4double Dy, G4double Dz)
1992   : HepPolyhedronTrd2(Dx, Dx, Dy, Dy, Dz) {}     1992   : HepPolyhedronTrd2(Dx, Dx, Dy, Dy, Dz) {}
1993                                                  1993 
1994 HepPolyhedronBox::~HepPolyhedronBox() = defau    1994 HepPolyhedronBox::~HepPolyhedronBox() = default;
1995                                                  1995 
1996 HepPolyhedronTrap::HepPolyhedronTrap(G4double    1996 HepPolyhedronTrap::HepPolyhedronTrap(G4double Dz,
1997                                      G4double    1997                                      G4double Theta,
1998                                      G4double    1998                                      G4double Phi,
1999                                      G4double    1999                                      G4double Dy1,
2000                                      G4double    2000                                      G4double Dx1,
2001                                      G4double    2001                                      G4double Dx2,
2002                                      G4double    2002                                      G4double Alp1,
2003                                      G4double    2003                                      G4double Dy2,
2004                                      G4double    2004                                      G4double Dx3,
2005                                      G4double    2005                                      G4double Dx4,
2006                                      G4double    2006                                      G4double Alp2)
2007 /********************************************    2007 /***********************************************************************
2008  *                                               2008  *                                                                     *
2009  * Name: HepPolyhedronTrap                       2009  * Name: HepPolyhedronTrap                           Date:    20.11.96 *
2010  * Author: E.Chernyaev                           2010  * Author: E.Chernyaev                               Revised:          *
2011  *                                               2011  *                                                                     *
2012  * Function: Create GEANT4 TRAP-trapezoid        2012  * Function: Create GEANT4 TRAP-trapezoid                              *
2013  *                                               2013  *                                                                     *
2014  * Input: DZ   - half-length in Z                2014  * Input: DZ   - half-length in Z                                      *
2015  *        Theta,Phi - polar angles of the lin    2015  *        Theta,Phi - polar angles of the line joining centres of the  *
2016  *                    faces at Z=-Dz and Z=+D    2016  *                    faces at Z=-Dz and Z=+Dz                         *
2017  *        Dy1  - half-length in Y of the face    2017  *        Dy1  - half-length in Y of the face at Z=-Dz                 *
2018  *        Dx1  - half-length in X of low edge    2018  *        Dx1  - half-length in X of low edge of the face at Z=-Dz     *
2019  *        Dx2  - half-length in X of top edge    2019  *        Dx2  - half-length in X of top edge of the face at Z=-Dz     *
2020  *        Alp1 - angle between Y-axis and the    2020  *        Alp1 - angle between Y-axis and the median joining top and   *
2021  *               low edges of the face at Z=-    2021  *               low edges of the face at Z=-Dz                        *
2022  *        Dy2  - half-length in Y of the face    2022  *        Dy2  - half-length in Y of the face at Z=+Dz                 *
2023  *        Dx3  - half-length in X of low edge    2023  *        Dx3  - half-length in X of low edge of the face at Z=+Dz     *
2024  *        Dx4  - half-length in X of top edge    2024  *        Dx4  - half-length in X of top edge of the face at Z=+Dz     *
2025  *        Alp2 - angle between Y-axis and the    2025  *        Alp2 - angle between Y-axis and the median joining top and   *
2026  *               low edges of the face at Z=+    2026  *               low edges of the face at Z=+Dz                        *
2027  *                                               2027  *                                                                     *
2028  ********************************************    2028  ***********************************************************************/
2029 {                                                2029 {
2030   G4double DzTthetaCphi = Dz*std::tan(Theta)*    2030   G4double DzTthetaCphi = Dz*std::tan(Theta)*std::cos(Phi);
2031   G4double DzTthetaSphi = Dz*std::tan(Theta)*    2031   G4double DzTthetaSphi = Dz*std::tan(Theta)*std::sin(Phi);
2032   G4double Dy1Talp1 = Dy1*std::tan(Alp1);        2032   G4double Dy1Talp1 = Dy1*std::tan(Alp1);
2033   G4double Dy2Talp2 = Dy2*std::tan(Alp2);        2033   G4double Dy2Talp2 = Dy2*std::tan(Alp2);
2034                                                  2034 
2035   AllocateMemory(8,6);                           2035   AllocateMemory(8,6);
2036                                                  2036 
2037   pV[1] = G4Point3D(-DzTthetaCphi-Dy1Talp1-Dx    2037   pV[1] = G4Point3D(-DzTthetaCphi-Dy1Talp1-Dx1,-DzTthetaSphi-Dy1,-Dz);
2038   pV[2] = G4Point3D(-DzTthetaCphi-Dy1Talp1+Dx    2038   pV[2] = G4Point3D(-DzTthetaCphi-Dy1Talp1+Dx1,-DzTthetaSphi-Dy1,-Dz);
2039   pV[3] = G4Point3D(-DzTthetaCphi+Dy1Talp1+Dx    2039   pV[3] = G4Point3D(-DzTthetaCphi+Dy1Talp1+Dx2,-DzTthetaSphi+Dy1,-Dz);
2040   pV[4] = G4Point3D(-DzTthetaCphi+Dy1Talp1-Dx    2040   pV[4] = G4Point3D(-DzTthetaCphi+Dy1Talp1-Dx2,-DzTthetaSphi+Dy1,-Dz);
2041   pV[5] = G4Point3D( DzTthetaCphi-Dy2Talp2-Dx    2041   pV[5] = G4Point3D( DzTthetaCphi-Dy2Talp2-Dx3, DzTthetaSphi-Dy2, Dz);
2042   pV[6] = G4Point3D( DzTthetaCphi-Dy2Talp2+Dx    2042   pV[6] = G4Point3D( DzTthetaCphi-Dy2Talp2+Dx3, DzTthetaSphi-Dy2, Dz);
2043   pV[7] = G4Point3D( DzTthetaCphi+Dy2Talp2+Dx    2043   pV[7] = G4Point3D( DzTthetaCphi+Dy2Talp2+Dx4, DzTthetaSphi+Dy2, Dz);
2044   pV[8] = G4Point3D( DzTthetaCphi+Dy2Talp2-Dx    2044   pV[8] = G4Point3D( DzTthetaCphi+Dy2Talp2-Dx4, DzTthetaSphi+Dy2, Dz);
2045                                                  2045 
2046   CreatePrism();                                 2046   CreatePrism();
2047 }                                                2047 }
2048                                                  2048 
2049 HepPolyhedronTrap::~HepPolyhedronTrap() = def    2049 HepPolyhedronTrap::~HepPolyhedronTrap() = default;
2050                                                  2050 
2051 HepPolyhedronPara::HepPolyhedronPara(G4double    2051 HepPolyhedronPara::HepPolyhedronPara(G4double Dx, G4double Dy, G4double Dz,
2052                                      G4double    2052                                      G4double Alpha, G4double Theta,
2053                                      G4double    2053                                      G4double Phi)
2054   : HepPolyhedronTrap(Dz, Theta, Phi, Dy, Dx,    2054   : HepPolyhedronTrap(Dz, Theta, Phi, Dy, Dx, Dx, Alpha, Dy, Dx, Dx, Alpha) {}
2055                                                  2055 
2056 HepPolyhedronPara::~HepPolyhedronPara() = def    2056 HepPolyhedronPara::~HepPolyhedronPara() = default;
2057                                                  2057 
2058 HepPolyhedronParaboloid::HepPolyhedronParabol    2058 HepPolyhedronParaboloid::HepPolyhedronParaboloid(G4double r1,
2059                                                  2059                                                  G4double r2,
2060                                                  2060                                                  G4double dz,
2061                                                  2061                                                  G4double sPhi,
2062                                                  2062                                                  G4double dPhi)
2063 /********************************************    2063 /***********************************************************************
2064  *                                               2064  *                                                                     *
2065  * Name: HepPolyhedronParaboloid                 2065  * Name: HepPolyhedronParaboloid                     Date:    28.06.07 *
2066  * Author: L.Lindroos, T.Nikitina (CERN), Jul    2066  * Author: L.Lindroos, T.Nikitina (CERN), July 2007  Revised: 28.06.07 *
2067  *                                               2067  *                                                                     *
2068  * Function: Constructor for paraboloid          2068  * Function: Constructor for paraboloid                                *
2069  *                                               2069  *                                                                     *
2070  * Input: r1    - inside and outside radiuses    2070  * Input: r1    - inside and outside radiuses at -Dz                   *
2071  *        r2    - inside and outside radiuses    2071  *        r2    - inside and outside radiuses at +Dz                   *
2072  *        dz    - half length in Z               2072  *        dz    - half length in Z                                     *
2073  *        sPhi  - starting angle of the segme    2073  *        sPhi  - starting angle of the segment                        *
2074  *        dPhi  - segment range                  2074  *        dPhi  - segment range                                        *
2075  *                                               2075  *                                                                     *
2076  ********************************************    2076  ***********************************************************************/
2077 {                                                2077 {
2078   static const G4double wholeCircle=twopi;       2078   static const G4double wholeCircle=twopi;
2079                                                  2079 
2080   //   C H E C K   I N P U T   P A R A M E T     2080   //   C H E C K   I N P U T   P A R A M E T E R S
2081                                                  2081 
2082   G4int k = 0;                                   2082   G4int k = 0;
2083   if (r1 < 0. || r2 <= 0.)        k = 1;         2083   if (r1 < 0. || r2 <= 0.)        k = 1;
2084                                                  2084 
2085   if (dz <= 0.) k += 2;                          2085   if (dz <= 0.) k += 2;
2086                                                  2086 
2087   G4double phi1, phi2, dphi;                     2087   G4double phi1, phi2, dphi;
2088                                                  2088 
2089   if(dPhi < 0.)                                  2089   if(dPhi < 0.)
2090   {                                              2090   {
2091     phi2 = sPhi; phi1 = phi2 + dPhi;             2091     phi2 = sPhi; phi1 = phi2 + dPhi;
2092   }                                              2092   }
2093   else if(dPhi == 0.)                            2093   else if(dPhi == 0.)
2094   {                                              2094   {
2095     phi1 = sPhi; phi2 = phi1 + wholeCircle;      2095     phi1 = sPhi; phi2 = phi1 + wholeCircle;
2096   }                                              2096   }
2097   else                                           2097   else
2098   {                                              2098   {
2099     phi1 = sPhi; phi2 = phi1 + dPhi;             2099     phi1 = sPhi; phi2 = phi1 + dPhi;
2100   }                                              2100   }
2101   dphi  = phi2 - phi1;                           2101   dphi  = phi2 - phi1;
2102                                                  2102 
2103   if (std::abs(dphi-wholeCircle) < perMillion    2103   if (std::abs(dphi-wholeCircle) < perMillion) dphi = wholeCircle;
2104   if (dphi > wholeCircle) k += 4;                2104   if (dphi > wholeCircle) k += 4;
2105                                                  2105 
2106   if (k != 0) {                                  2106   if (k != 0) {
2107     std::cerr << "HepPolyhedronParaboloid: er    2107     std::cerr << "HepPolyhedronParaboloid: error in input parameters";
2108     if ((k & 1) != 0) std::cerr << " (radiuse    2108     if ((k & 1) != 0) std::cerr << " (radiuses)";
2109     if ((k & 2) != 0) std::cerr << " (half-le    2109     if ((k & 2) != 0) std::cerr << " (half-length)";
2110     if ((k & 4) != 0) std::cerr << " (angles)    2110     if ((k & 4) != 0) std::cerr << " (angles)";
2111     std::cerr << std::endl;                      2111     std::cerr << std::endl;
2112     std::cerr << " r1=" << r1;                   2112     std::cerr << " r1=" << r1;
2113     std::cerr << " r2=" << r2;                   2113     std::cerr << " r2=" << r2;
2114     std::cerr << " dz=" << dz << " sPhi=" <<     2114     std::cerr << " dz=" << dz << " sPhi=" << sPhi << " dPhi=" << dPhi
2115               << std::endl;                      2115               << std::endl;
2116     return;                                      2116     return;
2117   }                                              2117   }
2118                                                  2118 
2119   //   P R E P A R E   T W O   P O L Y L I N     2119   //   P R E P A R E   T W O   P O L Y L I N E S
2120                                                  2120 
2121   G4int n = GetNumberOfRotationSteps();          2121   G4int n = GetNumberOfRotationSteps();
2122   G4double dl = (r2 - r1) / n;                   2122   G4double dl = (r2 - r1) / n;
2123   G4double k1 = (r2*r2 - r1*r1) / 2 / dz;        2123   G4double k1 = (r2*r2 - r1*r1) / 2 / dz;
2124   G4double k2 = (r2*r2 + r1*r1) / 2;             2124   G4double k2 = (r2*r2 + r1*r1) / 2;
2125                                                  2125 
2126   auto zz = new G4double[n + 2], rr = new G4d    2126   auto zz = new G4double[n + 2], rr = new G4double[n + 2];
2127                                                  2127 
2128   zz[0] = dz;                                    2128   zz[0] = dz;
2129   rr[0] = r2;                                    2129   rr[0] = r2;
2130                                                  2130 
2131   for(G4int i = 1; i < n - 1; i++)               2131   for(G4int i = 1; i < n - 1; i++)
2132   {                                              2132   {
2133     rr[i] = rr[i-1] - dl;                        2133     rr[i] = rr[i-1] - dl;
2134     zz[i] = (rr[i]*rr[i] - k2) / k1;             2134     zz[i] = (rr[i]*rr[i] - k2) / k1;
2135     if(rr[i] < 0)                                2135     if(rr[i] < 0)
2136     {                                            2136     {
2137       rr[i] = 0;                                 2137       rr[i] = 0;
2138       zz[i] = 0;                                 2138       zz[i] = 0;
2139     }                                            2139     }
2140   }                                              2140   }
2141                                                  2141 
2142   zz[n-1] = -dz;                                 2142   zz[n-1] = -dz;
2143   rr[n-1] = r1;                                  2143   rr[n-1] = r1;
2144                                                  2144 
2145   zz[n] = dz;                                    2145   zz[n] = dz;
2146   rr[n] = 0;                                     2146   rr[n] = 0;
2147                                                  2147 
2148   zz[n+1] = -dz;                                 2148   zz[n+1] = -dz;
2149   rr[n+1] = 0;                                   2149   rr[n+1] = 0;
2150                                                  2150 
2151   //   R O T A T E    P O L Y L I N E S          2151   //   R O T A T E    P O L Y L I N E S
2152                                                  2152 
2153   RotateAroundZ(0, phi1, dphi, n, 2, zz, rr,     2153   RotateAroundZ(0, phi1, dphi, n, 2, zz, rr, -1, -1);
2154   SetReferences();                               2154   SetReferences();
2155                                                  2155 
2156   delete [] zz;                                  2156   delete [] zz;
2157   delete [] rr;                                  2157   delete [] rr;
2158 }                                                2158 }
2159                                                  2159 
2160 HepPolyhedronParaboloid::~HepPolyhedronParabo    2160 HepPolyhedronParaboloid::~HepPolyhedronParaboloid() = default;
2161                                                  2161 
2162 HepPolyhedronHype::HepPolyhedronHype(G4double    2162 HepPolyhedronHype::HepPolyhedronHype(G4double r1,
2163                                      G4double    2163                                      G4double r2,
2164                                      G4double    2164                                      G4double sqrtan1,
2165                                      G4double    2165                                      G4double sqrtan2,
2166                                      G4double    2166                                      G4double halfZ)
2167 /********************************************    2167 /***********************************************************************
2168  *                                               2168  *                                                                     *
2169  * Name: HepPolyhedronHype                       2169  * Name: HepPolyhedronHype                           Date:    14.04.08 *
2170  * Author: Tatiana Nikitina (CERN)               2170  * Author: Tatiana Nikitina (CERN)                   Revised: 14.04.08 *
2171  *         Evgueni Tcherniaev                    2171  *         Evgueni Tcherniaev                                 01.12.20 *
2172  *                                               2172  *                                                                     *
2173  * Function: Constructor for Hype                2173  * Function: Constructor for Hype                                      *
2174  *                                               2174  *                                                                     *
2175  * Input: r1       - inside radius at z=0        2175  * Input: r1       - inside radius at z=0                              *
2176  *        r2       - outside radiuses at z=0     2176  *        r2       - outside radiuses at z=0                           *
2177  *        sqrtan1  - sqr of tan of Inner Ster    2177  *        sqrtan1  - sqr of tan of Inner Stereo Angle                  *
2178  *        sqrtan2  - sqr of tan of Outer Ster    2178  *        sqrtan2  - sqr of tan of Outer Stereo Angle                  *
2179  *        halfZ    - half length in Z            2179  *        halfZ    - half length in Z                                  *
2180  *                                               2180  *                                                                     *
2181  ********************************************    2181  ***********************************************************************/
2182 {                                                2182 {
2183   static const G4double wholeCircle = twopi;     2183   static const G4double wholeCircle = twopi;
2184                                                  2184 
2185   //   C H E C K   I N P U T   P A R A M E T     2185   //   C H E C K   I N P U T   P A R A M E T E R S
2186                                                  2186 
2187   G4int k = 0;                                   2187   G4int k = 0;
2188   if (r1 < 0. || r2 < 0. || r1 >= r2) k = 1;     2188   if (r1 < 0. || r2 < 0. || r1 >= r2) k = 1;
2189   if (halfZ <= 0.) k += 2;                       2189   if (halfZ <= 0.) k += 2;
2190   if (sqrtan1 < 0.|| sqrtan2 < 0.) k += 4;       2190   if (sqrtan1 < 0.|| sqrtan2 < 0.) k += 4;
2191                                                  2191 
2192   if (k != 0)                                    2192   if (k != 0)
2193   {                                              2193   {
2194     std::cerr << "HepPolyhedronHype: error in    2194     std::cerr << "HepPolyhedronHype: error in input parameters";
2195     if ((k & 1) != 0) std::cerr << " (radiuse    2195     if ((k & 1) != 0) std::cerr << " (radiuses)";
2196     if ((k & 2) != 0) std::cerr << " (half-le    2196     if ((k & 2) != 0) std::cerr << " (half-length)";
2197     if ((k & 4) != 0) std::cerr << " (angles)    2197     if ((k & 4) != 0) std::cerr << " (angles)";
2198     std::cerr << std::endl;                      2198     std::cerr << std::endl;
2199     std::cerr << " r1=" << r1 << " r2=" << r2    2199     std::cerr << " r1=" << r1 << " r2=" << r2;
2200     std::cerr << " halfZ=" << halfZ << " sqrT    2200     std::cerr << " halfZ=" << halfZ << " sqrTan1=" << sqrtan1
2201               << " sqrTan2=" << sqrtan2          2201               << " sqrTan2=" << sqrtan2
2202               << std::endl;                      2202               << std::endl;
2203     return;                                      2203     return;
2204   }                                              2204   }
2205                                                  2205 
2206   //   P R E P A R E   T W O   P O L Y L I N     2206   //   P R E P A R E   T W O   P O L Y L I N E S
2207                                                  2207 
2208   G4int ns = std::max(3, GetNumberOfRotationS    2208   G4int ns = std::max(3, GetNumberOfRotationSteps()/4);
2209   G4int nz1 = (sqrtan1 == 0.) ? 2 : ns + 1;      2209   G4int nz1 = (sqrtan1 == 0.) ? 2 : ns + 1;
2210   G4int nz2 = (sqrtan2 == 0.) ? 2 : ns + 1;      2210   G4int nz2 = (sqrtan2 == 0.) ? 2 : ns + 1;
2211   auto  zz = new G4double[nz1 + nz2];            2211   auto  zz = new G4double[nz1 + nz2];
2212   auto  rr = new G4double[nz1 + nz2];            2212   auto  rr = new G4double[nz1 + nz2];
2213                                                  2213 
2214   // external polyline                           2214   // external polyline
2215   G4double dz2 = 2.*halfZ/(nz2 - 1);             2215   G4double dz2 = 2.*halfZ/(nz2 - 1);
2216   for(G4int i = 0; i < nz2; ++i)                 2216   for(G4int i = 0; i < nz2; ++i)
2217   {                                              2217   {
2218     zz[i] = halfZ - dz2*i;                       2218     zz[i] = halfZ - dz2*i;
2219     rr[i] = std::sqrt(sqrtan2*zz[i]*zz[i] + r    2219     rr[i] = std::sqrt(sqrtan2*zz[i]*zz[i] + r2*r2);
2220   }                                              2220   }
2221                                                  2221 
2222   // internal polyline                           2222   // internal polyline
2223   G4double dz1 = 2.*halfZ/(nz1 - 1);             2223   G4double dz1 = 2.*halfZ/(nz1 - 1);
2224   for(G4int i = 0; i < nz1; ++i)                 2224   for(G4int i = 0; i < nz1; ++i)
2225   {                                              2225   {
2226     G4int j = nz2 + i;                           2226     G4int j = nz2 + i;
2227     zz[j] = halfZ - dz1*i;                       2227     zz[j] = halfZ - dz1*i;
2228     rr[j] = std::sqrt(sqrtan1*zz[j]*zz[j] + r    2228     rr[j] = std::sqrt(sqrtan1*zz[j]*zz[j] + r1*r1);
2229   }                                              2229   }
2230                                                  2230 
2231   //   R O T A T E    P O L Y L I N E S          2231   //   R O T A T E    P O L Y L I N E S
2232                                                  2232 
2233   RotateAroundZ(0, 0., wholeCircle, nz2, nz1,    2233   RotateAroundZ(0, 0., wholeCircle, nz2, nz1, zz, rr, -1, -1);
2234   SetReferences();                               2234   SetReferences();
2235                                                  2235 
2236   delete [] zz;                                  2236   delete [] zz;
2237   delete [] rr;                                  2237   delete [] rr;
2238 }                                                2238 }
2239                                                  2239 
2240 HepPolyhedronHype::~HepPolyhedronHype() = def    2240 HepPolyhedronHype::~HepPolyhedronHype() = default;
2241                                                  2241 
2242 HepPolyhedronCons::HepPolyhedronCons(G4double    2242 HepPolyhedronCons::HepPolyhedronCons(G4double Rmn1,
2243                                      G4double    2243                                      G4double Rmx1,
2244                                      G4double    2244                                      G4double Rmn2,
2245                                      G4double    2245                                      G4double Rmx2,
2246                                      G4double    2246                                      G4double Dz,
2247                                      G4double    2247                                      G4double Phi1,
2248                                      G4double    2248                                      G4double Dphi)
2249 /********************************************    2249 /***********************************************************************
2250  *                                               2250  *                                                                     *
2251  * Name: HepPolyhedronCons::HepPolyhedronCons    2251  * Name: HepPolyhedronCons::HepPolyhedronCons        Date:    15.12.96 *
2252  * Author: E.Chernyaev (IHEP/Protvino)           2252  * Author: E.Chernyaev (IHEP/Protvino)               Revised: 15.12.96 *
2253  *                                               2253  *                                                                     *
2254  * Function: Constructor for CONS, TUBS, CONE    2254  * Function: Constructor for CONS, TUBS, CONE, TUBE                    *
2255  *                                               2255  *                                                                     *
2256  * Input: Rmn1, Rmx1 - inside and outside rad    2256  * Input: Rmn1, Rmx1 - inside and outside radiuses at -Dz              *
2257  *        Rmn2, Rmx2 - inside and outside rad    2257  *        Rmn2, Rmx2 - inside and outside radiuses at +Dz              *
2258  *        Dz         - half length in Z          2258  *        Dz         - half length in Z                                *
2259  *        Phi1       - starting angle of the     2259  *        Phi1       - starting angle of the segment                   *
2260  *        Dphi       - segment range             2260  *        Dphi       - segment range                                   *
2261  *                                               2261  *                                                                     *
2262  ********************************************    2262  ***********************************************************************/
2263 {                                                2263 {
2264   static const G4double wholeCircle=twopi;       2264   static const G4double wholeCircle=twopi;
2265                                                  2265 
2266   //   C H E C K   I N P U T   P A R A M E T     2266   //   C H E C K   I N P U T   P A R A M E T E R S
2267                                                  2267 
2268   G4int k = 0;                                   2268   G4int k = 0;
2269   if (Rmn1 < 0. || Rmx1 < 0. || Rmn2 < 0. ||     2269   if (Rmn1 < 0. || Rmx1 < 0. || Rmn2 < 0. || Rmx2 < 0.)        k = 1;
2270   if (Rmn1 > Rmx1 || Rmn2 > Rmx2)                2270   if (Rmn1 > Rmx1 || Rmn2 > Rmx2)                              k = 1;
2271   if (Rmn1 == Rmx1 && Rmn2 == Rmx2)              2271   if (Rmn1 == Rmx1 && Rmn2 == Rmx2)                            k = 1;
2272                                                  2272 
2273   if (Dz <= 0.) k += 2;                          2273   if (Dz <= 0.) k += 2;
2274                                                  2274 
2275   G4double phi1, phi2, dphi;                     2275   G4double phi1, phi2, dphi;
2276   if (Dphi < 0.) {                               2276   if (Dphi < 0.) {
2277     phi2 = Phi1; phi1 = phi2 - Dphi;             2277     phi2 = Phi1; phi1 = phi2 - Dphi;
2278   }else if (Dphi == 0.) {                        2278   }else if (Dphi == 0.) {
2279     phi1 = Phi1; phi2 = phi1 + wholeCircle;      2279     phi1 = Phi1; phi2 = phi1 + wholeCircle;
2280   }else{                                         2280   }else{
2281     phi1 = Phi1; phi2 = phi1 + Dphi;             2281     phi1 = Phi1; phi2 = phi1 + Dphi;
2282   }                                              2282   }
2283   dphi  = phi2 - phi1;                           2283   dphi  = phi2 - phi1;
2284   if (std::abs(dphi-wholeCircle) < perMillion    2284   if (std::abs(dphi-wholeCircle) < perMillion) dphi = wholeCircle;
2285   if (dphi > wholeCircle) k += 4;                2285   if (dphi > wholeCircle) k += 4;
2286                                                  2286 
2287   if (k != 0) {                                  2287   if (k != 0) {
2288     std::cerr << "HepPolyhedronCone(s)/Tube(s    2288     std::cerr << "HepPolyhedronCone(s)/Tube(s): error in input parameters";
2289     if ((k & 1) != 0) std::cerr << " (radiuse    2289     if ((k & 1) != 0) std::cerr << " (radiuses)";
2290     if ((k & 2) != 0) std::cerr << " (half-le    2290     if ((k & 2) != 0) std::cerr << " (half-length)";
2291     if ((k & 4) != 0) std::cerr << " (angles)    2291     if ((k & 4) != 0) std::cerr << " (angles)";
2292     std::cerr << std::endl;                      2292     std::cerr << std::endl;
2293     std::cerr << " Rmn1=" << Rmn1 << " Rmx1="    2293     std::cerr << " Rmn1=" << Rmn1 << " Rmx1=" << Rmx1;
2294     std::cerr << " Rmn2=" << Rmn2 << " Rmx2="    2294     std::cerr << " Rmn2=" << Rmn2 << " Rmx2=" << Rmx2;
2295     std::cerr << " Dz=" << Dz << " Phi1=" <<     2295     std::cerr << " Dz=" << Dz << " Phi1=" << Phi1 << " Dphi=" << Dphi
2296               << std::endl;                      2296               << std::endl;
2297     return;                                      2297     return;
2298   }                                              2298   }
2299                                                  2299 
2300   //   P R E P A R E   T W O   P O L Y L I N     2300   //   P R E P A R E   T W O   P O L Y L I N E S
2301                                                  2301 
2302   G4double zz[4], rr[4];                         2302   G4double zz[4], rr[4];
2303   zz[0] =  Dz;                                   2303   zz[0] =  Dz;
2304   zz[1] = -Dz;                                   2304   zz[1] = -Dz;
2305   zz[2] =  Dz;                                   2305   zz[2] =  Dz;
2306   zz[3] = -Dz;                                   2306   zz[3] = -Dz;
2307   rr[0] =  Rmx2;                                 2307   rr[0] =  Rmx2;
2308   rr[1] =  Rmx1;                                 2308   rr[1] =  Rmx1;
2309   rr[2] =  Rmn2;                                 2309   rr[2] =  Rmn2;
2310   rr[3] =  Rmn1;                                 2310   rr[3] =  Rmn1;
2311                                                  2311 
2312   //   R O T A T E    P O L Y L I N E S          2312   //   R O T A T E    P O L Y L I N E S
2313                                                  2313 
2314   RotateAroundZ(0, phi1, dphi, 2, 2, zz, rr,     2314   RotateAroundZ(0, phi1, dphi, 2, 2, zz, rr, -1, -1);
2315   SetReferences();                               2315   SetReferences();
2316 }                                                2316 }
2317                                                  2317 
2318 HepPolyhedronCons::~HepPolyhedronCons() = def    2318 HepPolyhedronCons::~HepPolyhedronCons() = default;
2319                                                  2319 
2320 HepPolyhedronCone::HepPolyhedronCone(G4double    2320 HepPolyhedronCone::HepPolyhedronCone(G4double Rmn1, G4double Rmx1,
2321                                      G4double    2321                                      G4double Rmn2, G4double Rmx2,
2322                                      G4double    2322                                      G4double Dz) :
2323   HepPolyhedronCons(Rmn1, Rmx1, Rmn2, Rmx2, D    2323   HepPolyhedronCons(Rmn1, Rmx1, Rmn2, Rmx2, Dz, 0*deg, 360*deg) {}
2324                                                  2324 
2325 HepPolyhedronCone::~HepPolyhedronCone() = def    2325 HepPolyhedronCone::~HepPolyhedronCone() = default;
2326                                                  2326 
2327 HepPolyhedronTubs::HepPolyhedronTubs(G4double    2327 HepPolyhedronTubs::HepPolyhedronTubs(G4double Rmin, G4double Rmax,
2328                                      G4double    2328                                      G4double Dz,
2329                                      G4double    2329                                      G4double Phi1, G4double Dphi)
2330   :   HepPolyhedronCons(Rmin, Rmax, Rmin, Rma    2330   :   HepPolyhedronCons(Rmin, Rmax, Rmin, Rmax, Dz, Phi1, Dphi) {}
2331                                                  2331 
2332 HepPolyhedronTubs::~HepPolyhedronTubs() = def    2332 HepPolyhedronTubs::~HepPolyhedronTubs() = default;
2333                                                  2333 
2334 HepPolyhedronTube::HepPolyhedronTube (G4doubl    2334 HepPolyhedronTube::HepPolyhedronTube (G4double Rmin, G4double Rmax,
2335                                       G4doubl    2335                                       G4double Dz)
2336   : HepPolyhedronCons(Rmin, Rmax, Rmin, Rmax,    2336   : HepPolyhedronCons(Rmin, Rmax, Rmin, Rmax, Dz, 0*deg, 360*deg) {}
2337                                                  2337 
2338 HepPolyhedronTube::~HepPolyhedronTube () = de    2338 HepPolyhedronTube::~HepPolyhedronTube () = default;
2339                                                  2339 
2340 HepPolyhedronPgon::HepPolyhedronPgon(G4double    2340 HepPolyhedronPgon::HepPolyhedronPgon(G4double phi,
2341                                      G4double    2341                                      G4double dphi,
2342                                      G4int np    2342                                      G4int npdv,
2343                                      G4int nz    2343                                      G4int nz,
2344                                      const G4    2344                                      const G4double *z,
2345                                      const G4    2345                                      const G4double *rmin,
2346                                      const G4    2346                                      const G4double *rmax)
2347 /********************************************    2347 /***********************************************************************
2348  *                                               2348  *                                                                     *
2349  * Name: HepPolyhedronPgon                       2349  * Name: HepPolyhedronPgon                           Date:    09.12.96 *
2350  * Author: E.Chernyaev                           2350  * Author: E.Chernyaev                               Revised:          *
2351  *                                               2351  *                                                                     *
2352  * Function: Constructor of polyhedron for PG    2352  * Function: Constructor of polyhedron for PGON, PCON                  *
2353  *                                               2353  *                                                                     *
2354  * Input: phi  - initial phi                     2354  * Input: phi  - initial phi                                           *
2355  *        dphi - delta phi                       2355  *        dphi - delta phi                                             *
2356  *        npdv - number of steps along phi       2356  *        npdv - number of steps along phi                             *
2357  *        nz   - number of z-planes (at least    2357  *        nz   - number of z-planes (at least two)                     *
2358  *        z[]  - z coordinates of the slices     2358  *        z[]  - z coordinates of the slices                           *
2359  *        rmin[] - smaller r at the slices       2359  *        rmin[] - smaller r at the slices                             *
2360  *        rmax[] - bigger  r at the slices       2360  *        rmax[] - bigger  r at the slices                             *
2361  *                                               2361  *                                                                     *
2362  ********************************************    2362  ***********************************************************************/
2363 {                                                2363 {
2364   //   C H E C K   I N P U T   P A R A M E T     2364   //   C H E C K   I N P U T   P A R A M E T E R S
2365                                                  2365 
2366   if (dphi <= 0. || dphi > twopi) {              2366   if (dphi <= 0. || dphi > twopi) {
2367     std::cerr                                    2367     std::cerr
2368       << "HepPolyhedronPgon/Pcon: wrong delta    2368       << "HepPolyhedronPgon/Pcon: wrong delta phi = " << dphi
2369       << std::endl;                              2369       << std::endl;
2370     return;                                      2370     return;
2371   }                                              2371   }
2372                                                  2372 
2373   if (nz < 2) {                                  2373   if (nz < 2) {
2374     std::cerr                                    2374     std::cerr
2375       << "HepPolyhedronPgon/Pcon: number of z    2375       << "HepPolyhedronPgon/Pcon: number of z-planes less than two = " << nz
2376       << std::endl;                              2376       << std::endl;
2377     return;                                      2377     return;
2378   }                                              2378   }
2379                                                  2379 
2380   if (npdv < 0) {                                2380   if (npdv < 0) {
2381     std::cerr                                    2381     std::cerr
2382       << "HepPolyhedronPgon/Pcon: error in nu    2382       << "HepPolyhedronPgon/Pcon: error in number of phi-steps =" << npdv
2383       << std::endl;                              2383       << std::endl;
2384     return;                                      2384     return;
2385   }                                              2385   }
2386                                                  2386 
2387   G4int i;                                       2387   G4int i;
2388   for (i=0; i<nz; i++) {                         2388   for (i=0; i<nz; i++) {
2389     if (rmin[i] < 0. || rmax[i] < 0. || rmin[    2389     if (rmin[i] < 0. || rmax[i] < 0. || rmin[i] > rmax[i]) {
2390       std::cerr                                  2390       std::cerr
2391         << "HepPolyhedronPgon: error in radiu    2391         << "HepPolyhedronPgon: error in radiuses rmin[" << i << "]="
2392         << rmin[i] << " rmax[" << i << "]=" <    2392         << rmin[i] << " rmax[" << i << "]=" << rmax[i]
2393         << std::endl;                            2393         << std::endl;
2394       return;                                    2394       return;
2395     }                                            2395     }
2396   }                                              2396   }
2397                                                  2397 
2398   //   P R E P A R E   T W O   P O L Y L I N     2398   //   P R E P A R E   T W O   P O L Y L I N E S
2399                                                  2399 
2400   G4double *zz, *rr;                             2400   G4double *zz, *rr;
2401   zz = new G4double[2*nz];                       2401   zz = new G4double[2*nz];
2402   rr = new G4double[2*nz];                       2402   rr = new G4double[2*nz];
2403                                                  2403 
2404   if (z[0] > z[nz-1]) {                          2404   if (z[0] > z[nz-1]) {
2405     for (i=0; i<nz; i++) {                       2405     for (i=0; i<nz; i++) {
2406       zz[i]    = z[i];                           2406       zz[i]    = z[i];
2407       rr[i]    = rmax[i];                        2407       rr[i]    = rmax[i];
2408       zz[i+nz] = z[i];                           2408       zz[i+nz] = z[i];
2409       rr[i+nz] = rmin[i];                        2409       rr[i+nz] = rmin[i];
2410     }                                            2410     }
2411   }else{                                         2411   }else{
2412     for (i=0; i<nz; i++) {                       2412     for (i=0; i<nz; i++) {
2413       zz[i]    = z[nz-i-1];                      2413       zz[i]    = z[nz-i-1];
2414       rr[i]    = rmax[nz-i-1];                   2414       rr[i]    = rmax[nz-i-1];
2415       zz[i+nz] = z[nz-i-1];                      2415       zz[i+nz] = z[nz-i-1];
2416       rr[i+nz] = rmin[nz-i-1];                   2416       rr[i+nz] = rmin[nz-i-1];
2417     }                                            2417     }
2418   }                                              2418   }
2419                                                  2419 
2420   //   R O T A T E    P O L Y L I N E S          2420   //   R O T A T E    P O L Y L I N E S
2421                                                  2421 
2422   G4int nodeVis = 1;                             2422   G4int nodeVis = 1;
2423   G4int edgeVis = (npdv == 0) ? -1 : 1;          2423   G4int edgeVis = (npdv == 0) ? -1 : 1;
2424   RotateAroundZ(npdv, phi, dphi, nz, nz, zz,     2424   RotateAroundZ(npdv, phi, dphi, nz, nz, zz, rr, nodeVis, edgeVis);
2425   SetReferences();                               2425   SetReferences();
2426                                                  2426 
2427   delete [] zz;                                  2427   delete [] zz;
2428   delete [] rr;                                  2428   delete [] rr;
2429 }                                                2429 }
2430                                                  2430 
2431 HepPolyhedronPgon::HepPolyhedronPgon(G4double    2431 HepPolyhedronPgon::HepPolyhedronPgon(G4double phi,
2432                                      G4double    2432                                      G4double dphi,
2433                                      G4int np    2433                                      G4int npdv,
2434                                      const st    2434                                      const std::vector<G4TwoVector> &rz)
2435 /********************************************    2435 /***********************************************************************
2436  *                                               2436  *                                                                     *
2437  * Name: HepPolyhedronPgon                       2437  * Name: HepPolyhedronPgon                           Date:    12.05.21 *
2438  * Author: E.Tcherniaev (E.Chernyaev)            2438  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
2439  *                                               2439  *                                                                     *
2440  * Function: Constructor of polyhedron for PG    2440  * Function: Constructor of polyhedron for PGON, PCON                  *
2441  *                                               2441  *                                                                     *
2442  * Input: phi  - initial phi                     2442  * Input: phi  - initial phi                                           *
2443  *        dphi - delta phi                       2443  *        dphi - delta phi                                             *
2444  *        npdv - number of steps along phi       2444  *        npdv - number of steps along phi                             *
2445  *        rz   - rz-contour                      2445  *        rz   - rz-contour                                            *
2446  *                                               2446  *                                                                     *
2447  ********************************************    2447  ***********************************************************************/
2448 {                                                2448 {
2449   //   C H E C K   I N P U T   P A R A M E T     2449   //   C H E C K   I N P U T   P A R A M E T E R S
2450                                                  2450 
2451   if (dphi <= 0. || dphi > twopi) {              2451   if (dphi <= 0. || dphi > twopi) {
2452     std::cerr                                    2452     std::cerr
2453       << "HepPolyhedronPgon/Pcon: wrong delta    2453       << "HepPolyhedronPgon/Pcon: wrong delta phi = " << dphi
2454       << std::endl;                              2454       << std::endl;
2455     return;                                      2455     return;
2456   }                                              2456   }
2457                                                  2457 
2458   if (npdv < 0) {                                2458   if (npdv < 0) {
2459     std::cerr                                    2459     std::cerr
2460       << "HepPolyhedronPgon/Pcon: error in nu    2460       << "HepPolyhedronPgon/Pcon: error in number of phi-steps = " << npdv
2461       << std::endl;                              2461       << std::endl;
2462     return;                                      2462     return;
2463   }                                              2463   }
2464                                                  2464 
2465   G4int nrz = (G4int)rz.size();                  2465   G4int nrz = (G4int)rz.size();
2466   if (nrz < 3) {                                 2466   if (nrz < 3) {
2467     std::cerr                                    2467     std::cerr
2468       << "HepPolyhedronPgon/Pcon: invalid num    2468       << "HepPolyhedronPgon/Pcon: invalid number of nodes in rz-contour = " << nrz
2469       << std::endl;                              2469       << std::endl;
2470     return;                                      2470     return;
2471   }                                              2471   }
2472                                                  2472 
2473   //   R O T A T E    P O L Y L I N E            2473   //   R O T A T E    P O L Y L I N E
2474                                                  2474 
2475   G4int nodeVis = 1;                             2475   G4int nodeVis = 1;
2476   G4int edgeVis = (npdv == 0) ? -1 : 1;          2476   G4int edgeVis = (npdv == 0) ? -1 : 1;
2477   RotateContourAroundZ(npdv, phi, dphi, rz, n    2477   RotateContourAroundZ(npdv, phi, dphi, rz, nodeVis, edgeVis);
2478   SetReferences();                               2478   SetReferences();
2479 }                                                2479 }
2480                                                  2480 
2481 HepPolyhedronPgon::~HepPolyhedronPgon() = def    2481 HepPolyhedronPgon::~HepPolyhedronPgon() = default;
2482                                                  2482 
2483 HepPolyhedronPcon::HepPolyhedronPcon(G4double    2483 HepPolyhedronPcon::HepPolyhedronPcon(G4double phi, G4double dphi, G4int nz,
2484                                      const G4    2484                                      const G4double *z,
2485                                      const G4    2485                                      const G4double *rmin,
2486                                      const G4    2486                                      const G4double *rmax)
2487   : HepPolyhedronPgon(phi, dphi, 0, nz, z, rm    2487   : HepPolyhedronPgon(phi, dphi, 0, nz, z, rmin, rmax) {}
2488                                                  2488 
2489 HepPolyhedronPcon::HepPolyhedronPcon(G4double    2489 HepPolyhedronPcon::HepPolyhedronPcon(G4double phi, G4double dphi,
2490                                      const st    2490                                      const std::vector<G4TwoVector> &rz)
2491   : HepPolyhedronPgon(phi, dphi, 0, rz) {}       2491   : HepPolyhedronPgon(phi, dphi, 0, rz) {}
2492                                                  2492 
2493 HepPolyhedronPcon::~HepPolyhedronPcon() = def    2493 HepPolyhedronPcon::~HepPolyhedronPcon() = default;
2494                                                  2494 
2495 HepPolyhedronSphere::HepPolyhedronSphere(G4do    2495 HepPolyhedronSphere::HepPolyhedronSphere(G4double rmin, G4double rmax,
2496                                          G4do    2496                                          G4double phi, G4double dphi,
2497                                          G4do    2497                                          G4double the, G4double dthe)
2498 /********************************************    2498 /***********************************************************************
2499  *                                               2499  *                                                                     *
2500  * Name: HepPolyhedronSphere                     2500  * Name: HepPolyhedronSphere                         Date:    11.12.96 *
2501  * Author: E.Chernyaev (IHEP/Protvino)           2501  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
2502  *                                               2502  *                                                                     *
2503  * Function: Constructor of polyhedron for SP    2503  * Function: Constructor of polyhedron for SPHERE                      *
2504  *                                               2504  *                                                                     *
2505  * Input: rmin - internal radius                 2505  * Input: rmin - internal radius                                       *
2506  *        rmax - external radius                 2506  *        rmax - external radius                                       *
2507  *        phi  - initial phi                     2507  *        phi  - initial phi                                           *
2508  *        dphi - delta phi                       2508  *        dphi - delta phi                                             *
2509  *        the  - initial theta                   2509  *        the  - initial theta                                         *
2510  *        dthe - delta theta                     2510  *        dthe - delta theta                                           *
2511  *                                               2511  *                                                                     *
2512  ********************************************    2512  ***********************************************************************/
2513 {                                                2513 {
2514   //   C H E C K   I N P U T   P A R A M E T     2514   //   C H E C K   I N P U T   P A R A M E T E R S
2515                                                  2515 
2516   if (dphi <= 0. || dphi > twopi) {              2516   if (dphi <= 0. || dphi > twopi) {
2517     std::cerr                                    2517     std::cerr
2518       << "HepPolyhedronSphere: wrong delta ph    2518       << "HepPolyhedronSphere: wrong delta phi = " << dphi
2519       << std::endl;                              2519       << std::endl;
2520     return;                                      2520     return;
2521   }                                              2521   }
2522                                                  2522 
2523   if (the < 0. || the > pi) {                    2523   if (the < 0. || the > pi) {
2524     std::cerr                                    2524     std::cerr
2525       << "HepPolyhedronSphere: wrong theta =     2525       << "HepPolyhedronSphere: wrong theta = " << the
2526       << std::endl;                              2526       << std::endl;
2527     return;                                      2527     return;
2528   }                                              2528   }
2529                                                  2529 
2530   if (dthe <= 0. || dthe > pi) {                 2530   if (dthe <= 0. || dthe > pi) {
2531     std::cerr                                    2531     std::cerr
2532       << "HepPolyhedronSphere: wrong delta th    2532       << "HepPolyhedronSphere: wrong delta theta = " << dthe
2533       << std::endl;                              2533       << std::endl;
2534     return;                                      2534     return;
2535   }                                              2535   }
2536                                                  2536 
2537   if (the+dthe > pi) {                           2537   if (the+dthe > pi) {
2538     std::cerr                                    2538     std::cerr
2539       << "HepPolyhedronSphere: wrong theta +     2539       << "HepPolyhedronSphere: wrong theta + delta theta = "
2540       << the << " " << dthe                      2540       << the << " " << dthe
2541       << std::endl;                              2541       << std::endl;
2542     return;                                      2542     return;
2543   }                                              2543   }
2544                                                  2544 
2545   if (rmin < 0. || rmin >= rmax) {               2545   if (rmin < 0. || rmin >= rmax) {
2546     std::cerr                                    2546     std::cerr
2547       << "HepPolyhedronSphere: error in radiu    2547       << "HepPolyhedronSphere: error in radiuses"
2548       << " rmin=" << rmin << " rmax=" << rmax    2548       << " rmin=" << rmin << " rmax=" << rmax
2549       << std::endl;                              2549       << std::endl;
2550     return;                                      2550     return;
2551   }                                              2551   }
2552                                                  2552 
2553   //   P R E P A R E   T W O   P O L Y L I N     2553   //   P R E P A R E   T W O   P O L Y L I N E S
2554                                                  2554 
2555   G4int nds = (GetNumberOfRotationSteps() + 1    2555   G4int nds = (GetNumberOfRotationSteps() + 1) / 2;
2556   G4int np1 = G4int(dthe*nds/pi+.5) + 1;         2556   G4int np1 = G4int(dthe*nds/pi+.5) + 1;
2557   if (np1 <= 1) np1 = 2;                         2557   if (np1 <= 1) np1 = 2;
2558   G4int np2 = rmin < spatialTolerance ? 1 : n    2558   G4int np2 = rmin < spatialTolerance ? 1 : np1;
2559                                                  2559 
2560   G4double *zz, *rr;                             2560   G4double *zz, *rr;
2561   zz = new G4double[np1+np2];                    2561   zz = new G4double[np1+np2];
2562   rr = new G4double[np1+np2];                    2562   rr = new G4double[np1+np2];
2563                                                  2563 
2564   G4double a = dthe/(np1-1);                     2564   G4double a = dthe/(np1-1);
2565   G4double cosa, sina;                           2565   G4double cosa, sina;
2566   for (G4int i=0; i<np1; i++) {                  2566   for (G4int i=0; i<np1; i++) {
2567     cosa  = std::cos(the+i*a);                   2567     cosa  = std::cos(the+i*a);
2568     sina  = std::sin(the+i*a);                   2568     sina  = std::sin(the+i*a);
2569     zz[i] = rmax*cosa;                           2569     zz[i] = rmax*cosa;
2570     rr[i] = rmax*sina;                           2570     rr[i] = rmax*sina;
2571     if (np2 > 1) {                               2571     if (np2 > 1) {
2572       zz[i+np1] = rmin*cosa;                     2572       zz[i+np1] = rmin*cosa;
2573       rr[i+np1] = rmin*sina;                     2573       rr[i+np1] = rmin*sina;
2574     }                                            2574     }
2575   }                                              2575   }
2576   if (np2 == 1) {                                2576   if (np2 == 1) {
2577     zz[np1] = 0.;                                2577     zz[np1] = 0.;
2578     rr[np1] = 0.;                                2578     rr[np1] = 0.;
2579   }                                              2579   }
2580                                                  2580 
2581   //   R O T A T E    P O L Y L I N E S          2581   //   R O T A T E    P O L Y L I N E S
2582                                                  2582 
2583   RotateAroundZ(0, phi, dphi, np1, np2, zz, r    2583   RotateAroundZ(0, phi, dphi, np1, np2, zz, rr, -1, -1);
2584   SetReferences();                               2584   SetReferences();
2585                                                  2585 
2586   delete [] zz;                                  2586   delete [] zz;
2587   delete [] rr;                                  2587   delete [] rr;
2588 }                                                2588 }
2589                                                  2589 
2590 HepPolyhedronSphere::~HepPolyhedronSphere() =    2590 HepPolyhedronSphere::~HepPolyhedronSphere() = default;
2591                                                  2591 
2592 HepPolyhedronTorus::HepPolyhedronTorus(G4doub    2592 HepPolyhedronTorus::HepPolyhedronTorus(G4double rmin,
2593                                        G4doub    2593                                        G4double rmax,
2594                                        G4doub    2594                                        G4double rtor,
2595                                        G4doub    2595                                        G4double phi,
2596                                        G4doub    2596                                        G4double dphi)
2597 /********************************************    2597 /***********************************************************************
2598  *                                               2598  *                                                                     *
2599  * Name: HepPolyhedronTorus                      2599  * Name: HepPolyhedronTorus                          Date:    11.12.96 *
2600  * Author: E.Chernyaev (IHEP/Protvino)           2600  * Author: E.Chernyaev (IHEP/Protvino)               Revised:          *
2601  *                                               2601  *                                                                     *
2602  * Function: Constructor of polyhedron for TO    2602  * Function: Constructor of polyhedron for TORUS                       *
2603  *                                               2603  *                                                                     *
2604  * Input: rmin - internal radius                 2604  * Input: rmin - internal radius                                       *
2605  *        rmax - external radius                 2605  *        rmax - external radius                                       *
2606  *        rtor - radius of torus                 2606  *        rtor - radius of torus                                       *
2607  *        phi  - initial phi                     2607  *        phi  - initial phi                                           *
2608  *        dphi - delta phi                       2608  *        dphi - delta phi                                             *
2609  *                                               2609  *                                                                     *
2610  ********************************************    2610  ***********************************************************************/
2611 {                                                2611 {
2612   //   C H E C K   I N P U T   P A R A M E T     2612   //   C H E C K   I N P U T   P A R A M E T E R S
2613                                                  2613 
2614   if (dphi <= 0. || dphi > twopi) {              2614   if (dphi <= 0. || dphi > twopi) {
2615     std::cerr                                    2615     std::cerr
2616       << "HepPolyhedronTorus: wrong delta phi    2616       << "HepPolyhedronTorus: wrong delta phi = " << dphi
2617       << std::endl;                              2617       << std::endl;
2618     return;                                      2618     return;
2619   }                                              2619   }
2620                                                  2620 
2621   if (rmin < 0. || rmin >= rmax || rmax >= rt    2621   if (rmin < 0. || rmin >= rmax || rmax >= rtor) {
2622     std::cerr                                    2622     std::cerr
2623       << "HepPolyhedronTorus: error in radius    2623       << "HepPolyhedronTorus: error in radiuses"
2624       << " rmin=" << rmin << " rmax=" << rmax    2624       << " rmin=" << rmin << " rmax=" << rmax << " rtorus=" << rtor
2625       << std::endl;                              2625       << std::endl;
2626     return;                                      2626     return;
2627   }                                              2627   }
2628                                                  2628 
2629   //   P R E P A R E   T W O   P O L Y L I N     2629   //   P R E P A R E   T W O   P O L Y L I N E S
2630                                                  2630 
2631   G4int np1 = GetNumberOfRotationSteps();        2631   G4int np1 = GetNumberOfRotationSteps();
2632   G4int np2 = rmin < spatialTolerance ? 1 : n    2632   G4int np2 = rmin < spatialTolerance ? 1 : np1;
2633                                                  2633 
2634   G4double *zz, *rr;                             2634   G4double *zz, *rr;
2635   zz = new G4double[np1+np2];                    2635   zz = new G4double[np1+np2];
2636   rr = new G4double[np1+np2];                    2636   rr = new G4double[np1+np2];
2637                                                  2637 
2638   G4double a = twopi/np1;                        2638   G4double a = twopi/np1;
2639   G4double cosa, sina;                           2639   G4double cosa, sina;
2640   for (G4int i=0; i<np1; i++) {                  2640   for (G4int i=0; i<np1; i++) {
2641     cosa  = std::cos(i*a);                       2641     cosa  = std::cos(i*a);
2642     sina  = std::sin(i*a);                       2642     sina  = std::sin(i*a);
2643     zz[i] = rmax*cosa;                           2643     zz[i] = rmax*cosa;
2644     rr[i] = rtor+rmax*sina;                      2644     rr[i] = rtor+rmax*sina;
2645     if (np2 > 1) {                               2645     if (np2 > 1) {
2646       zz[i+np1] = rmin*cosa;                     2646       zz[i+np1] = rmin*cosa;
2647       rr[i+np1] = rtor+rmin*sina;                2647       rr[i+np1] = rtor+rmin*sina;
2648     }                                            2648     }
2649   }                                              2649   }
2650   if (np2 == 1) {                                2650   if (np2 == 1) {
2651     zz[np1] = 0.;                                2651     zz[np1] = 0.;
2652     rr[np1] = rtor;                              2652     rr[np1] = rtor;
2653     np2 = -1;                                    2653     np2 = -1;
2654   }                                              2654   }
2655                                                  2655 
2656   //   R O T A T E    P O L Y L I N E S          2656   //   R O T A T E    P O L Y L I N E S
2657                                                  2657 
2658   RotateAroundZ(0, phi, dphi, -np1, -np2, zz,    2658   RotateAroundZ(0, phi, dphi, -np1, -np2, zz, rr, -1,-1);
2659   SetReferences();                               2659   SetReferences();
2660                                                  2660 
2661   delete [] zz;                                  2661   delete [] zz;
2662   delete [] rr;                                  2662   delete [] rr;
2663 }                                                2663 }
2664                                                  2664 
2665 HepPolyhedronTorus::~HepPolyhedronTorus() = d    2665 HepPolyhedronTorus::~HepPolyhedronTorus() = default;
2666                                                  2666 
2667 HepPolyhedronTet::HepPolyhedronTet(const G4do    2667 HepPolyhedronTet::HepPolyhedronTet(const G4double p0[3],
2668                                    const G4do    2668                                    const G4double p1[3],
2669                                    const G4do    2669                                    const G4double p2[3],
2670                                    const G4do    2670                                    const G4double p3[3])
2671 /********************************************    2671 /***********************************************************************
2672  *                                               2672  *                                                                     *
2673  * Name: HepPolyhedronTet                        2673  * Name: HepPolyhedronTet                            Date:  21.02.2020 *
2674  * Author: E.Tcherniaev (E.Chernyaev)            2674  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
2675  *                                               2675  *                                                                     *
2676  * Function: Constructor of polyhedron for TE    2676  * Function: Constructor of polyhedron for TETrahedron                 *
2677  *                                               2677  *                                                                     *
2678  * Input: p0,p1,p2,p3 - vertices                 2678  * Input: p0,p1,p2,p3 - vertices                                       *
2679  *                                               2679  *                                                                     *
2680  ********************************************    2680  ***********************************************************************/
2681 {                                                2681 {
2682   AllocateMemory(4,4);                           2682   AllocateMemory(4,4);
2683                                                  2683 
2684   pV[1].set(p0[0], p0[1], p0[2]);                2684   pV[1].set(p0[0], p0[1], p0[2]);
2685   pV[2].set(p1[0], p1[1], p1[2]);                2685   pV[2].set(p1[0], p1[1], p1[2]);
2686   pV[3].set(p2[0], p2[1], p2[2]);                2686   pV[3].set(p2[0], p2[1], p2[2]);
2687   pV[4].set(p3[0], p3[1], p3[2]);                2687   pV[4].set(p3[0], p3[1], p3[2]);
2688                                                  2688 
2689   G4Vector3D v1(pV[2] - pV[1]);                  2689   G4Vector3D v1(pV[2] - pV[1]);
2690   G4Vector3D v2(pV[3] - pV[1]);                  2690   G4Vector3D v2(pV[3] - pV[1]);
2691   G4Vector3D v3(pV[4] - pV[1]);                  2691   G4Vector3D v3(pV[4] - pV[1]);
2692                                                  2692 
2693   if (v1.cross(v2).dot(v3) < 0.)                 2693   if (v1.cross(v2).dot(v3) < 0.)
2694   {                                              2694   {
2695     pV[3].set(p3[0], p3[1], p3[2]);              2695     pV[3].set(p3[0], p3[1], p3[2]);
2696     pV[4].set(p2[0], p2[1], p2[2]);              2696     pV[4].set(p2[0], p2[1], p2[2]);
2697   }                                              2697   }
2698                                                  2698 
2699   pF[1] = G4Facet(1,2,  3,4,  2,3);              2699   pF[1] = G4Facet(1,2,  3,4,  2,3);
2700   pF[2] = G4Facet(1,3,  4,4,  3,1);              2700   pF[2] = G4Facet(1,3,  4,4,  3,1);
2701   pF[3] = G4Facet(1,1,  2,4,  4,2);              2701   pF[3] = G4Facet(1,1,  2,4,  4,2);
2702   pF[4] = G4Facet(2,1,  3,2,  4,3);              2702   pF[4] = G4Facet(2,1,  3,2,  4,3);
2703 }                                                2703 }
2704                                                  2704 
2705 HepPolyhedronTet::~HepPolyhedronTet() = defau    2705 HepPolyhedronTet::~HepPolyhedronTet() = default;
2706                                                  2706 
2707 HepPolyhedronEllipsoid::HepPolyhedronEllipsoi    2707 HepPolyhedronEllipsoid::HepPolyhedronEllipsoid(G4double ax, G4double by,
2708                                                  2708                                                G4double cz, G4double zCut1,
2709                                                  2709                                                G4double zCut2)
2710 /********************************************    2710 /***********************************************************************
2711  *                                               2711  *                                                                     *
2712  * Name: HepPolyhedronEllipsoid                  2712  * Name: HepPolyhedronEllipsoid                      Date:    25.02.05 *
2713  * Author: G.Guerrieri                           2713  * Author: G.Guerrieri                               Revised:          *
2714  *         Evgueni Tcherniaev                    2714  *         Evgueni Tcherniaev                                 20.01.22 *
2715  *                                               2715  *                                                                     *
2716  * Function: Constructor of polyhedron for EL    2716  * Function: Constructor of polyhedron for ELLIPSOID                   *
2717  *                                               2717  *                                                                     *
2718  * Input: ax - semiaxis x                        2718  * Input: ax - semiaxis x                                              *
2719  *        by - semiaxis y                        2719  *        by - semiaxis y                                              *
2720  *        cz - semiaxis z                        2720  *        cz - semiaxis z                                              *
2721  *        zCut1 - lower cut plane level (soli    2721  *        zCut1 - lower cut plane level (solid lies above this plane)  *
2722  *        zCut2 - upper cut plane level (soli    2722  *        zCut2 - upper cut plane level (solid lies below this plane)  *
2723  *                                               2723  *                                                                     *
2724  ********************************************    2724  ***********************************************************************/
2725 {                                                2725 {
2726   //   C H E C K   I N P U T   P A R A M E T     2726   //   C H E C K   I N P U T   P A R A M E T E R S
2727                                                  2727 
2728   if (zCut1 >= cz || zCut2 <= -cz || zCut1 >     2728   if (zCut1 >= cz || zCut2 <= -cz || zCut1 > zCut2) {
2729     std::cerr << "HepPolyhedronEllipsoid: wro    2729     std::cerr << "HepPolyhedronEllipsoid: wrong zCut1 = " << zCut1
2730            << " zCut2 = " << zCut2               2730            << " zCut2 = " << zCut2
2731            << " for given cz = " << cz << std    2731            << " for given cz = " << cz << std::endl;
2732     return;                                      2732     return;
2733   }                                              2733   }
2734   if (cz <= 0.0) {                               2734   if (cz <= 0.0) {
2735     std::cerr << "HepPolyhedronEllipsoid: bad    2735     std::cerr << "HepPolyhedronEllipsoid: bad z semi-axis: cz = " << cz
2736       << std::endl;                              2736       << std::endl;
2737     return;                                      2737     return;
2738   }                                              2738   }
2739                                                  2739 
2740   //   P R E P A R E   T W O   P O L Y L I N     2740   //   P R E P A R E   T W O   P O L Y L I N E S
2741   //   generate sphere of radius cz first, th    2741   //   generate sphere of radius cz first, then rescale x and y later
2742                                                  2742 
2743   G4double sthe = std::acos(zCut2/cz);           2743   G4double sthe = std::acos(zCut2/cz);
2744   G4double dthe = std::acos(zCut1/cz) - sthe;    2744   G4double dthe = std::acos(zCut1/cz) - sthe;
2745   G4int nds = (GetNumberOfRotationSteps() + 1    2745   G4int nds = (GetNumberOfRotationSteps() + 1)/2;
2746   G4int np1 = G4int(dthe*nds/pi + 0.5) + 1;      2746   G4int np1 = G4int(dthe*nds/pi + 0.5) + 1;
2747   if (np1 <= 1) np1 = 2;                         2747   if (np1 <= 1) np1 = 2;
2748   G4int np2 = 2;                                 2748   G4int np2 = 2;
2749                                                  2749 
2750   G4double *zz, *rr;                             2750   G4double *zz, *rr;
2751   zz = new G4double[np1 + np2];                  2751   zz = new G4double[np1 + np2];
2752   rr = new G4double[np1 + np2];                  2752   rr = new G4double[np1 + np2];
2753   if ((zz == nullptr) || (rr == nullptr))        2753   if ((zz == nullptr) || (rr == nullptr))
2754   {                                              2754   {
2755     G4Exception("HepPolyhedronEllipsoid::HepP    2755     G4Exception("HepPolyhedronEllipsoid::HepPolyhedronEllipsoid",
2756                 "greps1002", FatalException,     2756                 "greps1002", FatalException, "Out of memory");
2757   }                                              2757   }
2758                                                  2758 
2759   G4double a = dthe/(np1 - 1);                   2759   G4double a = dthe/(np1 - 1);
2760   G4double cosa, sina;                           2760   G4double cosa, sina;
2761   for (G4int i = 0; i < np1; ++i)                2761   for (G4int i = 0; i < np1; ++i)
2762   {                                              2762   {
2763     cosa  = std::cos(sthe + i*a);                2763     cosa  = std::cos(sthe + i*a);
2764     sina  = std::sin(sthe + i*a);                2764     sina  = std::sin(sthe + i*a);
2765     zz[i] = cz*cosa;                             2765     zz[i] = cz*cosa;
2766     rr[i] = cz*sina;                             2766     rr[i] = cz*sina;
2767   }                                              2767   }
2768   zz[np1 + 0] = zCut2;                           2768   zz[np1 + 0] = zCut2;
2769   rr[np1 + 0] = 0.;                              2769   rr[np1 + 0] = 0.;
2770   zz[np1 + 1] = zCut1;                           2770   zz[np1 + 1] = zCut1;
2771   rr[np1 + 1] = 0.;                              2771   rr[np1 + 1] = 0.;
2772                                                  2772 
2773   //   R O T A T E    P O L Y L I N E S          2773   //   R O T A T E    P O L Y L I N E S
2774                                                  2774 
2775   RotateAroundZ(0, 0., twopi, np1, np2, zz, r    2775   RotateAroundZ(0, 0., twopi, np1, np2, zz, rr, -1, -1);
2776   SetReferences();                               2776   SetReferences();
2777                                                  2777 
2778   delete [] zz;                                  2778   delete [] zz;
2779   delete [] rr;                                  2779   delete [] rr;
2780                                                  2780 
2781   // rescale x and y vertex coordinates          2781   // rescale x and y vertex coordinates
2782   G4double kx = ax/cz;                           2782   G4double kx = ax/cz;
2783   G4double ky = by/cz;                           2783   G4double ky = by/cz;
2784   G4Point3D* p = pV;                             2784   G4Point3D* p = pV;
2785   for (G4int i = 0; i < nvert; ++i, ++p)         2785   for (G4int i = 0; i < nvert; ++i, ++p)
2786   {                                              2786   {
2787     p->setX(p->x()*kx);                          2787     p->setX(p->x()*kx);
2788     p->setY(p->y()*ky);                          2788     p->setY(p->y()*ky);
2789   }                                              2789   }
2790 }                                                2790 }
2791                                                  2791 
2792 HepPolyhedronEllipsoid::~HepPolyhedronEllipso    2792 HepPolyhedronEllipsoid::~HepPolyhedronEllipsoid() = default;
2793                                                  2793 
2794 HepPolyhedronEllipticalCone::HepPolyhedronEll    2794 HepPolyhedronEllipticalCone::HepPolyhedronEllipticalCone(G4double ax,
2795                                                  2795                                                          G4double ay,
2796                                                  2796                                                          G4double h,
2797                                                  2797                                                          G4double zTopCut)
2798 /********************************************    2798 /***********************************************************************
2799  *                                               2799  *                                                                     *
2800  * Name: HepPolyhedronEllipticalCone             2800  * Name: HepPolyhedronEllipticalCone                 Date:    8.9.2005 *
2801  * Author: D.Anninos                             2801  * Author: D.Anninos                                 Revised: 9.9.2005 *
2802  *                                               2802  *                                                                     *
2803  * Function: Constructor for EllipticalCone      2803  * Function: Constructor for EllipticalCone                            *
2804  *                                               2804  *                                                                     *
2805  * Input: ax, ay     - X & Y semi axes at z =    2805  * Input: ax, ay     - X & Y semi axes at z = 0                        *
2806  *        h          - height of full cone       2806  *        h          - height of full cone                             *
2807  *        zTopCut    - Top Cut in Z Axis         2807  *        zTopCut    - Top Cut in Z Axis                               *
2808  *                                               2808  *                                                                     *
2809  ********************************************    2809  ***********************************************************************/
2810 {                                                2810 {
2811   //   C H E C K   I N P U T   P A R A M E T     2811   //   C H E C K   I N P U T   P A R A M E T E R S
2812                                                  2812 
2813   G4int k = 0;                                   2813   G4int k = 0;
2814   if ( (ax <= 0.) || (ay <= 0.) || (h <= 0.)     2814   if ( (ax <= 0.) || (ay <= 0.) || (h <= 0.) || (zTopCut <= 0.) ) { k = 1; }
2815                                                  2815 
2816   if (k != 0) {                                  2816   if (k != 0) {
2817     std::cerr << "HepPolyhedronCone: error in    2817     std::cerr << "HepPolyhedronCone: error in input parameters";
2818     std::cerr << std::endl;                      2818     std::cerr << std::endl;
2819     return;                                      2819     return;
2820   }                                              2820   }
2821                                                  2821 
2822   //   P R E P A R E   T W O   P O L Y L I N     2822   //   P R E P A R E   T W O   P O L Y L I N E S
2823                                                  2823 
2824   zTopCut = (h >= zTopCut ? zTopCut : h);        2824   zTopCut = (h >= zTopCut ? zTopCut : h);
2825                                                  2825 
2826   G4double *zz, *rr;                             2826   G4double *zz, *rr;
2827   zz = new G4double[4];                          2827   zz = new G4double[4];
2828   rr = new G4double[4];                          2828   rr = new G4double[4];
2829   zz[0] =   zTopCut;                             2829   zz[0] =   zTopCut;
2830   zz[1] =  -zTopCut;                             2830   zz[1] =  -zTopCut;
2831   zz[2] =   zTopCut;                             2831   zz[2] =   zTopCut;
2832   zz[3] =  -zTopCut;                             2832   zz[3] =  -zTopCut;
2833   rr[0] =  (h-zTopCut);                          2833   rr[0] =  (h-zTopCut);
2834   rr[1] =  (h+zTopCut);                          2834   rr[1] =  (h+zTopCut);
2835   rr[2] =  0.;                                   2835   rr[2] =  0.;
2836   rr[3] =  0.;                                   2836   rr[3] =  0.;
2837                                                  2837 
2838   //   R O T A T E    P O L Y L I N E S          2838   //   R O T A T E    P O L Y L I N E S
2839                                                  2839 
2840   RotateAroundZ(0, 0., twopi, 2, 2, zz, rr, -    2840   RotateAroundZ(0, 0., twopi, 2, 2, zz, rr, -1, -1);
2841   SetReferences();                               2841   SetReferences();
2842                                                  2842 
2843   delete [] zz;                                  2843   delete [] zz;
2844   delete [] rr;                                  2844   delete [] rr;
2845                                                  2845 
2846   // rescale x and y vertex coordinates          2846   // rescale x and y vertex coordinates
2847  {                                               2847  {
2848    G4Point3D * p= pV;                            2848    G4Point3D * p= pV;
2849    for (G4int i=0; i<nvert; i++, p++) {          2849    for (G4int i=0; i<nvert; i++, p++) {
2850      p->setX( p->x() * ax );                     2850      p->setX( p->x() * ax );
2851      p->setY( p->y() * ay );                     2851      p->setY( p->y() * ay );
2852    }                                             2852    }
2853  }                                               2853  }
2854 }                                                2854 }
2855                                                  2855 
2856 HepPolyhedronEllipticalCone::~HepPolyhedronEl    2856 HepPolyhedronEllipticalCone::~HepPolyhedronEllipticalCone() = default;
2857                                                  2857 
2858 HepPolyhedronHyperbolicMirror::HepPolyhedronH    2858 HepPolyhedronHyperbolicMirror::HepPolyhedronHyperbolicMirror(G4double a,
2859                                                  2859                                                              G4double h,
2860                                                  2860                                                              G4double r)
2861 /********************************************    2861 /***********************************************************************
2862  *                                               2862  *                                                                     *
2863  * Name: HepPolyhedronHyperbolicMirror           2863  * Name: HepPolyhedronHyperbolicMirror               Date:  22.02.2020 *
2864  * Author: E.Tcherniaev (E.Chernyaev)            2864  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
2865  *                                               2865  *                                                                     *
2866  * Function: Create polyhedron for Hyperbolic    2866  * Function: Create polyhedron for Hyperbolic mirror                   *
2867  *                                               2867  *                                                                     *
2868  * Input: a - half-separation                    2868  * Input: a - half-separation                                          *
2869  *        h - height                             2869  *        h - height                                                   *
2870  *        r - radius                             2870  *        r - radius                                                   *
2871  *                                               2871  *                                                                     *
2872  ********************************************    2872  ***********************************************************************/
2873 {                                                2873 {
2874   G4double H = std::abs(h);                      2874   G4double H = std::abs(h);
2875   G4double R = std::abs(r);                      2875   G4double R = std::abs(r);
2876   G4double A = std::abs(a);                      2876   G4double A = std::abs(a);
2877   G4double B = A*R/std::sqrt(2*A*H + H*H);       2877   G4double B = A*R/std::sqrt(2*A*H + H*H);
2878                                                  2878 
2879   //   P R E P A R E   T W O   P O L Y L I N     2879   //   P R E P A R E   T W O   P O L Y L I N E S
2880                                                  2880 
2881   G4int np1 = (A == 0.) ? 2 : std::max(3, Get    2881   G4int np1 = (A == 0.) ? 2 : std::max(3, GetNumberOfRotationSteps()/4) + 1;
2882   G4int np2 = 2;                                 2882   G4int np2 = 2;
2883   G4double maxAng = (A == 0.) ? 0. : std::aco    2883   G4double maxAng = (A == 0.) ? 0. : std::acosh(1. + H/A);
2884   G4double delAng = maxAng/(np1 - 1);            2884   G4double delAng = maxAng/(np1 - 1);
2885                                                  2885 
2886   auto zz = new G4double[np1 + np2];             2886   auto zz = new G4double[np1 + np2];
2887   auto rr = new G4double[np1 + np2];             2887   auto rr = new G4double[np1 + np2];
2888                                                  2888 
2889   // 1st polyline                                2889   // 1st polyline
2890   zz[0] = H;                                     2890   zz[0] = H;
2891   rr[0] = R;                                     2891   rr[0] = R;
2892   for (G4int iz = 1; iz < np1 - 1; ++iz)         2892   for (G4int iz = 1; iz < np1 - 1; ++iz)
2893   {                                              2893   {
2894     G4double ang = maxAng - iz*delAng;           2894     G4double ang = maxAng - iz*delAng;
2895     zz[iz] = A*std::cosh(ang) - A;               2895     zz[iz] = A*std::cosh(ang) - A;
2896     rr[iz] = B*std::sinh(ang);                   2896     rr[iz] = B*std::sinh(ang);
2897   }                                              2897   }
2898   zz[np1 - 1] = 0.;                              2898   zz[np1 - 1] = 0.;
2899   rr[np1 - 1] = 0.;                              2899   rr[np1 - 1] = 0.;
2900                                                  2900 
2901   // 2nd polyline                                2901   // 2nd polyline
2902   zz[np1] = H;                                   2902   zz[np1] = H;
2903   rr[np1] = 0.;                                  2903   rr[np1] = 0.;
2904   zz[np1 + 1] = 0.;                              2904   zz[np1 + 1] = 0.;
2905   rr[np1 + 1] = 0.;                              2905   rr[np1 + 1] = 0.;
2906                                                  2906 
2907   //   R O T A T E    P O L Y L I N E S          2907   //   R O T A T E    P O L Y L I N E S
2908                                                  2908 
2909   G4double phi  = 0.;                            2909   G4double phi  = 0.;
2910   G4double dphi = CLHEP::twopi;                  2910   G4double dphi = CLHEP::twopi;
2911   RotateAroundZ(0, phi, dphi, np1, np2, zz, r    2911   RotateAroundZ(0, phi, dphi, np1, np2, zz, rr, -1, -1);
2912   SetReferences();                               2912   SetReferences();
2913                                                  2913 
2914   delete [] zz;                                  2914   delete [] zz;
2915   delete [] rr;                                  2915   delete [] rr;
2916 }                                                2916 }
2917                                                  2917 
2918 HepPolyhedronHyperbolicMirror::~HepPolyhedron    2918 HepPolyhedronHyperbolicMirror::~HepPolyhedronHyperbolicMirror() = default;
2919                                                  2919 
2920 HepPolyhedronTetMesh::                           2920 HepPolyhedronTetMesh::
2921 HepPolyhedronTetMesh(const std::vector<G4Thre    2921 HepPolyhedronTetMesh(const std::vector<G4ThreeVector>& tetrahedra)
2922 /********************************************    2922 /***********************************************************************
2923  *                                               2923  *                                                                     *
2924  * Name: HepPolyhedronTetMesh                    2924  * Name: HepPolyhedronTetMesh                        Date:  26.03.2022 *
2925  * Author: E.Tcherniaev (E.Chernyaev)            2925  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
2926  *                                               2926  *                                                                     *
2927  * Function: Create polyhedron for tetrahedro    2927  * Function: Create polyhedron for tetrahedron mesh                    *
2928  *                                               2928  *                                                                     *
2929  * Input: tetrahedra - array of tetrahedron v    2929  * Input: tetrahedra - array of tetrahedron vertices, four vertices    *
2930  *                     per tetrahedron           2930  *                     per tetrahedron                                 *
2931  *                                               2931  *                                                                     *
2932  ********************************************    2932  ***********************************************************************/
2933 {                                                2933 {
2934   // Check size of input vector                  2934   // Check size of input vector
2935   G4int nnodes = (G4int)tetrahedra.size();       2935   G4int nnodes = (G4int)tetrahedra.size();
2936   if (nnodes == 0)                               2936   if (nnodes == 0)
2937   {                                              2937   {
2938     std::cerr                                    2938     std::cerr
2939       << "HepPolyhedronTetMesh: Empty tetrahe    2939       << "HepPolyhedronTetMesh: Empty tetrahedron mesh" << std::endl;
2940     return;                                      2940     return;
2941   }                                              2941   }
2942   G4int ntet = nnodes/4;                         2942   G4int ntet = nnodes/4;
2943   if (nnodes != ntet*4)                          2943   if (nnodes != ntet*4)
2944   {                                              2944   {
2945     std::cerr << "HepPolyhedronTetMesh: Numbe    2945     std::cerr << "HepPolyhedronTetMesh: Number of nodes = " << nnodes
2946               << " in tetrahedron mesh is NOT    2946               << " in tetrahedron mesh is NOT multiple of 4"
2947               << std::endl;                      2947               << std::endl;
2948     return;                                      2948     return;
2949   }                                              2949   }
2950                                                  2950 
2951   // Find coincident vertices using hash tabl    2951   // Find coincident vertices using hash table techniques.
2952   // This could be done using std::unordered_    2952   // This could be done using std::unordered_map, but the code
2953   // below runs faster.                          2953   // below runs faster.
2954   std::vector<G4int> iheads(nnodes, -1);         2954   std::vector<G4int> iheads(nnodes, -1);
2955   std::vector<std::pair<G4int,G4int>> ipairs(    2955   std::vector<std::pair<G4int,G4int>> ipairs(nnodes,std::pair(-1,-1));
2956   for (G4int i = 0; i < nnodes; ++i)             2956   for (G4int i = 0; i < nnodes; ++i)
2957   {                                              2957   {
2958     // Generate hash key                         2958     // Generate hash key
2959     G4ThreeVector point = tetrahedra[i];         2959     G4ThreeVector point = tetrahedra[i];
2960     auto key = std::hash<G4double>()(point.x(    2960     auto key = std::hash<G4double>()(point.x());
2961     key ^= std::hash<G4double>()(point.y());     2961     key ^= std::hash<G4double>()(point.y());
2962     key ^= std::hash<G4double>()(point.z());     2962     key ^= std::hash<G4double>()(point.z());
2963     key %= nnodes;                               2963     key %= nnodes;
2964     // Check head of the list                    2964     // Check head of the list
2965     if (iheads[key] < 0)                         2965     if (iheads[key] < 0)
2966     {                                            2966     {
2967       iheads[key] = i;                           2967       iheads[key] = i;
2968       ipairs[i].first = i;                       2968       ipairs[i].first = i;
2969       continue;                                  2969       continue;
2970     }                                            2970     }
2971     // Loop along the list                       2971     // Loop along the list
2972     for (G4int icur = iheads[key], iprev = 0;    2972     for (G4int icur = iheads[key], iprev = 0;;)
2973     {                                            2973     {
2974       G4int icheck = ipairs[icur].first;         2974       G4int icheck = ipairs[icur].first;
2975       if (tetrahedra[icheck] == point)           2975       if (tetrahedra[icheck] == point)
2976       {                                          2976       {
2977         ipairs[i].first = icheck; // coincide    2977         ipairs[i].first = icheck; // coincident vertex
2978         break;                                   2978         break;
2979       }                                          2979       }
2980       iprev = icur;                              2980       iprev = icur;
2981       icur = ipairs[icur].second;                2981       icur = ipairs[icur].second;
2982       // Append vertex to the list               2982       // Append vertex to the list
2983       if (icur < 0)                              2983       if (icur < 0)
2984       {                                          2984       {
2985         ipairs[i].first = i;                     2985         ipairs[i].first = i;
2986         ipairs[iprev].second = i;                2986         ipairs[iprev].second = i;
2987         break;                                   2987         break;
2988       }                                          2988       }
2989     }                                            2989     }
2990   }                                              2990   }
2991                                                  2991 
2992   // Create vector of original facets            2992   // Create vector of original facets
2993   struct facet                                   2993   struct facet
2994   {                                              2994   {
2995     G4int i1, i2, i3;                            2995     G4int i1, i2, i3;
2996     facet() : i1(0), i2(0), i3(0) {};            2996     facet() : i1(0), i2(0), i3(0) {};
2997     facet(G4int k1, G4int k2, G4int k3) : i1(    2997     facet(G4int k1, G4int k2, G4int k3) : i1(k1), i2(k2), i3(k3) {};
2998   };                                             2998   };
2999   G4int nfacets = nnodes;                        2999   G4int nfacets = nnodes;
3000   std::vector<facet> ifacets(nfacets);           3000   std::vector<facet> ifacets(nfacets);
3001   for (G4int i = 0; i < nfacets; i += 4)         3001   for (G4int i = 0; i < nfacets; i += 4)
3002   {                                              3002   {
3003     G4int i0 = ipairs[i + 0].first;              3003     G4int i0 = ipairs[i + 0].first;
3004     G4int i1 = ipairs[i + 1].first;              3004     G4int i1 = ipairs[i + 1].first;
3005     G4int i2 = ipairs[i + 2].first;              3005     G4int i2 = ipairs[i + 2].first;
3006     G4int i3 = ipairs[i + 3].first;              3006     G4int i3 = ipairs[i + 3].first;
3007     if (i0 > i1) std::swap(i0, i1);              3007     if (i0 > i1) std::swap(i0, i1);
3008     if (i0 > i2) std::swap(i0, i2);              3008     if (i0 > i2) std::swap(i0, i2);
3009     if (i0 > i3) std::swap(i0, i3);              3009     if (i0 > i3) std::swap(i0, i3);
3010     if (i1 > i2) std::swap(i1, i2);              3010     if (i1 > i2) std::swap(i1, i2);
3011     if (i1 > i3) std::swap(i1, i3);              3011     if (i1 > i3) std::swap(i1, i3);
3012     G4ThreeVector e1 = tetrahedra[i1] - tetra    3012     G4ThreeVector e1 = tetrahedra[i1] - tetrahedra[i0];
3013     G4ThreeVector e2 = tetrahedra[i2] - tetra    3013     G4ThreeVector e2 = tetrahedra[i2] - tetrahedra[i0];
3014     G4ThreeVector e3 = tetrahedra[i3] - tetra    3014     G4ThreeVector e3 = tetrahedra[i3] - tetrahedra[i0];
3015     G4double volume = (e1.cross(e2)).dot(e3);    3015     G4double volume = (e1.cross(e2)).dot(e3);
3016     if (volume > 0.) std::swap(i2, i3);          3016     if (volume > 0.) std::swap(i2, i3);
3017     ifacets[i + 0] = facet(i0, i1, i2);          3017     ifacets[i + 0] = facet(i0, i1, i2);
3018     ifacets[i + 1] = facet(i0, i2, i3);          3018     ifacets[i + 1] = facet(i0, i2, i3);
3019     ifacets[i + 2] = facet(i0, i3, i1);          3019     ifacets[i + 2] = facet(i0, i3, i1);
3020     ifacets[i + 3] = facet(i1, i3, i2);          3020     ifacets[i + 3] = facet(i1, i3, i2);
3021   }                                              3021   }
3022                                                  3022 
3023   // Find shared facets                          3023   // Find shared facets
3024   std::fill(iheads.begin(), iheads.end(), -1)    3024   std::fill(iheads.begin(), iheads.end(), -1);
3025   std::fill(ipairs.begin(), ipairs.end(), std    3025   std::fill(ipairs.begin(), ipairs.end(), std::pair(-1,-1));
3026   for (G4int i = 0; i < nfacets; ++i)            3026   for (G4int i = 0; i < nfacets; ++i)
3027   {                                              3027   {
3028     // Check head of the list                    3028     // Check head of the list
3029     G4int key = ifacets[i].i1;                   3029     G4int key = ifacets[i].i1;
3030     if (iheads[key] < 0)                         3030     if (iheads[key] < 0)
3031     {                                            3031     {
3032       iheads[key] = i;                           3032       iheads[key] = i;
3033       ipairs[i].first = i;                       3033       ipairs[i].first = i;
3034       continue;                                  3034       continue;
3035     }                                            3035     }
3036     // Loop along the list                       3036     // Loop along the list
3037     G4int i2 = ifacets[i].i2, i3 = ifacets[i]    3037     G4int i2 = ifacets[i].i2, i3 = ifacets[i].i3;
3038     for (G4int icur = iheads[key], iprev = -1    3038     for (G4int icur = iheads[key], iprev = -1;;)
3039     {                                            3039     {
3040       G4int icheck = ipairs[icur].first;         3040       G4int icheck = ipairs[icur].first;
3041       if (ifacets[icheck].i2 == i3 && ifacets    3041       if (ifacets[icheck].i2 == i3 && ifacets[icheck].i3 == i2)
3042       {                                          3042       {
3043         if (iprev < 0)                           3043         if (iprev < 0)
3044         {                                        3044         {
3045           iheads[key] = ipairs[icur].second;     3045           iheads[key] = ipairs[icur].second;
3046         }                                        3046         }
3047         else                                     3047         else
3048         {                                        3048         {
3049           ipairs[iprev].second = ipairs[icur]    3049           ipairs[iprev].second = ipairs[icur].second;
3050         }                                        3050         }
3051         ipairs[icur].first = -1; // shared fa    3051         ipairs[icur].first = -1; // shared facet
3052         ipairs[icur].second = -1;                3052         ipairs[icur].second = -1;
3053         break;                                   3053         break;
3054       }                                          3054       }
3055       iprev = icur;                              3055       iprev = icur;
3056       icur = ipairs[icur].second;                3056       icur = ipairs[icur].second;
3057       // Append facet to the list                3057       // Append facet to the list
3058       if (icur < 0)                              3058       if (icur < 0)
3059       {                                          3059       {
3060         ipairs[i].first = i;                     3060         ipairs[i].first = i;
3061         ipairs[iprev].second = i;                3061         ipairs[iprev].second = i;
3062         break;                                   3062         break;
3063       }                                          3063       }
3064     }                                            3064     }
3065   }                                              3065   }
3066                                                  3066 
3067   // Count vertices and facets skipping share    3067   // Count vertices and facets skipping shared facets
3068   std::fill(iheads.begin(), iheads.end(), -1)    3068   std::fill(iheads.begin(), iheads.end(), -1);
3069   G4int nver = 0, nfac = 0;                      3069   G4int nver = 0, nfac = 0;
3070   for (G4int i = 0; i < nfacets; ++i)            3070   for (G4int i = 0; i < nfacets; ++i)
3071   {                                              3071   {
3072     if (ipairs[i].first < 0) continue;           3072     if (ipairs[i].first < 0) continue;
3073     G4int i1 = ifacets[i].i1;                    3073     G4int i1 = ifacets[i].i1;
3074     G4int i2 = ifacets[i].i2;                    3074     G4int i2 = ifacets[i].i2;
3075     G4int i3 = ifacets[i].i3;                    3075     G4int i3 = ifacets[i].i3;
3076     if (iheads[i1] < 0) iheads[i1] = nver++;     3076     if (iheads[i1] < 0) iheads[i1] = nver++;
3077     if (iheads[i2] < 0) iheads[i2] = nver++;     3077     if (iheads[i2] < 0) iheads[i2] = nver++;
3078     if (iheads[i3] < 0) iheads[i3] = nver++;     3078     if (iheads[i3] < 0) iheads[i3] = nver++;
3079     nfac++;                                      3079     nfac++;
3080   }                                              3080   }
3081                                                  3081 
3082   // Construct polyhedron                        3082   // Construct polyhedron
3083   AllocateMemory(nver, nfac);                    3083   AllocateMemory(nver, nfac);
3084   for (G4int i = 0; i < nnodes; ++i)             3084   for (G4int i = 0; i < nnodes; ++i)
3085   {                                              3085   {
3086     G4int k = iheads[i];                         3086     G4int k = iheads[i];
3087     if (k >= 0) SetVertex(k + 1, tetrahedra[i    3087     if (k >= 0) SetVertex(k + 1, tetrahedra[i]);
3088   }                                              3088   }
3089   for (G4int i = 0, k = 0; i < nfacets; ++i)     3089   for (G4int i = 0, k = 0; i < nfacets; ++i)
3090   {                                              3090   {
3091     if (ipairs[i].first < 0) continue;           3091     if (ipairs[i].first < 0) continue;
3092     G4int i1 = iheads[ifacets[i].i1] + 1;        3092     G4int i1 = iheads[ifacets[i].i1] + 1;
3093     G4int i2 = iheads[ifacets[i].i2] + 1;        3093     G4int i2 = iheads[ifacets[i].i2] + 1;
3094     G4int i3 = iheads[ifacets[i].i3] + 1;        3094     G4int i3 = iheads[ifacets[i].i3] + 1;
3095     SetFacet(++k, i1, i2, i3);                   3095     SetFacet(++k, i1, i2, i3);
3096   }                                              3096   }
3097   SetReferences();                               3097   SetReferences();
3098 }                                                3098 }
3099                                                  3099 
3100 HepPolyhedronTetMesh::~HepPolyhedronTetMesh()    3100 HepPolyhedronTetMesh::~HepPolyhedronTetMesh() = default;
3101                                                  3101 
3102 HepPolyhedronBoxMesh::                           3102 HepPolyhedronBoxMesh::
3103 HepPolyhedronBoxMesh(G4double sizeX, G4double    3103 HepPolyhedronBoxMesh(G4double sizeX, G4double sizeY, G4double sizeZ,
3104                      const std::vector<G4Thre    3104                      const std::vector<G4ThreeVector>& positions)
3105 /********************************************    3105 /***********************************************************************
3106  *                                               3106  *                                                                     *
3107  * Name: HepPolyhedronBoxMesh                    3107  * Name: HepPolyhedronBoxMesh                        Date:  07.04.2022 *
3108  * Author: E.Tcherniaev (E.Chernyaev)            3108  * Author: E.Tcherniaev (E.Chernyaev)                Revised:          *
3109  *                                               3109  *                                                                     *
3110  * Function: Create polyhedron for box mesh      3110  * Function: Create polyhedron for box mesh                            *
3111  *                                               3111  *                                                                     *
3112  * Input: sizeX, sizeY, sizeZ - dimensions of    3112  * Input: sizeX, sizeY, sizeZ - dimensions of the mesh cell            *
3113  *        positions - vector of cell centres     3113  *        positions - vector of cell centres                           *
3114  *                                               3114  *                                                                     *
3115  ********************************************    3115  ***********************************************************************/
3116 {                                                3116 {
3117   G4int nbox = (G4int)positions.size();          3117   G4int nbox = (G4int)positions.size();
3118   if (nbox == 0)                                 3118   if (nbox == 0)
3119   {                                              3119   {
3120     std::cerr << "HepPolyhedronBoxMesh: Empty    3120     std::cerr << "HepPolyhedronBoxMesh: Empty box mesh" << std::endl;
3121     return;                                      3121     return;
3122   }                                              3122   }
3123   // compute inverse dimensions                  3123   // compute inverse dimensions
3124   G4double invx = 1./sizeX, invy = 1./sizeY,     3124   G4double invx = 1./sizeX, invy = 1./sizeY, invz = 1./sizeZ;
3125   // find mesh bounding box                      3125   // find mesh bounding box
3126   G4ThreeVector pmin = positions[0], pmax = p    3126   G4ThreeVector pmin = positions[0], pmax = positions[0];
3127   for (const auto& p: positions)                 3127   for (const auto& p: positions)
3128   {                                              3128   {
3129     if (pmin.x() > p.x()) pmin.setX(p.x());      3129     if (pmin.x() > p.x()) pmin.setX(p.x());
3130     if (pmin.y() > p.y()) pmin.setY(p.y());      3130     if (pmin.y() > p.y()) pmin.setY(p.y());
3131     if (pmin.z() > p.z()) pmin.setZ(p.z());      3131     if (pmin.z() > p.z()) pmin.setZ(p.z());
3132     if (pmax.x() < p.x()) pmax.setX(p.x());      3132     if (pmax.x() < p.x()) pmax.setX(p.x());
3133     if (pmax.y() < p.y()) pmax.setY(p.y());      3133     if (pmax.y() < p.y()) pmax.setY(p.y());
3134     if (pmax.z() < p.z()) pmax.setZ(p.z());      3134     if (pmax.z() < p.z()) pmax.setZ(p.z());
3135   }                                              3135   }
3136   // find number of voxels                       3136   // find number of voxels
3137   G4int nx = (pmax.x() - pmin.x())*invx + 1.5    3137   G4int nx = (pmax.x() - pmin.x())*invx + 1.5;
3138   G4int ny = (pmax.y() - pmin.y())*invy + 1.5    3138   G4int ny = (pmax.y() - pmin.y())*invy + 1.5;
3139   G4int nz = (pmax.z() - pmin.z())*invz + 1.5    3139   G4int nz = (pmax.z() - pmin.z())*invz + 1.5;
3140   // create structures for voxels and node in    3140   // create structures for voxels and node indices
3141   std::vector<char> voxels(nx*ny*nz, 0);         3141   std::vector<char> voxels(nx*ny*nz, 0);
3142   std::vector<G4int> indices((nx+1)*(ny+1)*(n    3142   std::vector<G4int> indices((nx+1)*(ny+1)*(nz+1), 0);
3143   // mark voxels listed in positions             3143   // mark voxels listed in positions
3144   G4int kx =  ny*nz, ky = nz;                    3144   G4int kx =  ny*nz, ky = nz;
3145   for (const auto& p: positions)                 3145   for (const auto& p: positions)
3146   {                                              3146   {
3147     G4int ix = (p.x() - pmin.x())*invx + 0.5;    3147     G4int ix = (p.x() - pmin.x())*invx + 0.5;
3148     G4int iy = (p.y() - pmin.y())*invy + 0.5;    3148     G4int iy = (p.y() - pmin.y())*invy + 0.5;
3149     G4int iz = (p.z() - pmin.z())*invz + 0.5;    3149     G4int iz = (p.z() - pmin.z())*invz + 0.5;
3150     G4int i = ix*kx + iy*ky + iz;                3150     G4int i = ix*kx + iy*ky + iz;
3151     voxels[i] = 1;                               3151     voxels[i] = 1;
3152   }                                              3152   }
3153   // count number of vertices and facets         3153   // count number of vertices and facets
3154   // set indices                                 3154   // set indices
3155   G4int kvx = (ny + 1)*(nz + 1), kvy = nz + 1    3155   G4int kvx = (ny + 1)*(nz + 1), kvy = nz + 1;
3156   G4int nver = 0, nfac = 0;                      3156   G4int nver = 0, nfac = 0;
3157   for (const auto& p: positions)                 3157   for (const auto& p: positions)
3158   {                                              3158   {
3159     G4int ix = (p.x() - pmin.x())*invx + 0.5;    3159     G4int ix = (p.x() - pmin.x())*invx + 0.5;
3160     G4int iy = (p.y() - pmin.y())*invy + 0.5;    3160     G4int iy = (p.y() - pmin.y())*invy + 0.5;
3161     G4int iz = (p.z() - pmin.z())*invz + 0.5;    3161     G4int iz = (p.z() - pmin.z())*invz + 0.5;
3162     //                                           3162     //
3163     //    011       111                          3163     //    011       111
3164     //      +---–---+                          3164     //      +---–---+
3165     //      | 001   |   101                      3165     //      | 001   |   101
3166     //      |   +---–---+                      3166     //      |   +---–---+
3167     //      |   |   |   |                        3167     //      |   |   |   |
3168     //      +---|---+   |                        3168     //      +---|---+   |
3169     //    010   |   110 |                        3169     //    010   |   110 |
3170     //          +-------+                        3170     //          +-------+
3171     //        000       100                      3171     //        000       100
3172     //                                           3172     //
3173     G4int vcheck = 0;                            3173     G4int vcheck = 0;
3174     // check (ix - 1) side                       3174     // check (ix - 1) side
3175     vcheck = (ix == 0) ? 0 : voxels[(ix-1)*kx    3175     vcheck = (ix == 0) ? 0 : voxels[(ix-1)*kx + iy*ky + iz];
3176     if (vcheck == 0)                             3176     if (vcheck == 0)
3177     {                                            3177     {
3178       nfac++;                                    3178       nfac++;
3179       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3179       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3180       G4int i2 = (ix+0)*kvx + (iy+0)*kvy + (i    3180       G4int i2 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3181       G4int i3 = (ix+0)*kvx + (iy+1)*kvy + (i    3181       G4int i3 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3182       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (i    3182       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3183       if (indices[i1] == 0) indices[i1] = ++n    3183       if (indices[i1] == 0) indices[i1] = ++nver;
3184       if (indices[i2] == 0) indices[i2] = ++n    3184       if (indices[i2] == 0) indices[i2] = ++nver;
3185       if (indices[i3] == 0) indices[i3] = ++n    3185       if (indices[i3] == 0) indices[i3] = ++nver;
3186       if (indices[i4] == 0) indices[i4] = ++n    3186       if (indices[i4] == 0) indices[i4] = ++nver;
3187     }                                            3187     }
3188     // check (ix + 1) side                       3188     // check (ix + 1) side
3189     vcheck = (ix == nx - 1) ? 0 : voxels[(ix+    3189     vcheck = (ix == nx - 1) ? 0 : voxels[(ix+1)*kx + iy*ky + iz];
3190     if (vcheck == 0)                             3190     if (vcheck == 0)
3191     {                                            3191     {
3192       nfac++;                                    3192       nfac++;
3193       G4int i1 = (ix+1)*kvx + (iy+1)*kvy + (i    3193       G4int i1 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3194       G4int i2 = (ix+1)*kvx + (iy+1)*kvy + (i    3194       G4int i2 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3195       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (i    3195       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3196       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (i    3196       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3197       if (indices[i1] == 0) indices[i1] = ++n    3197       if (indices[i1] == 0) indices[i1] = ++nver;
3198       if (indices[i2] == 0) indices[i2] = ++n    3198       if (indices[i2] == 0) indices[i2] = ++nver;
3199       if (indices[i3] == 0) indices[i3] = ++n    3199       if (indices[i3] == 0) indices[i3] = ++nver;
3200       if (indices[i4] == 0) indices[i4] = ++n    3200       if (indices[i4] == 0) indices[i4] = ++nver;
3201     }                                            3201     }
3202     // check (iy - 1) side                       3202     // check (iy - 1) side
3203     vcheck = (iy == 0) ? 0 : voxels[ix*kx + (    3203     vcheck = (iy == 0) ? 0 : voxels[ix*kx + (iy-1)*ky + iz];
3204     if (vcheck == 0)                             3204     if (vcheck == 0)
3205     {                                            3205     {
3206       nfac++;                                    3206       nfac++;
3207       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3207       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3208       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (i    3208       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3209       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (i    3209       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3210       G4int i4 = (ix+0)*kvx + (iy+0)*kvy + (i    3210       G4int i4 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3211       if (indices[i1] == 0) indices[i1] = ++n    3211       if (indices[i1] == 0) indices[i1] = ++nver;
3212       if (indices[i2] == 0) indices[i2] = ++n    3212       if (indices[i2] == 0) indices[i2] = ++nver;
3213       if (indices[i3] == 0) indices[i3] = ++n    3213       if (indices[i3] == 0) indices[i3] = ++nver;
3214       if (indices[i4] == 0) indices[i4] = ++n    3214       if (indices[i4] == 0) indices[i4] = ++nver;
3215     }                                            3215     }
3216     // check (iy + 1) side                       3216     // check (iy + 1) side
3217     vcheck = (iy == ny - 1) ? 0 : voxels[ix*k    3217     vcheck = (iy == ny - 1) ? 0 : voxels[ix*kx + (iy+1)*ky + iz];
3218     if (vcheck == 0)                             3218     if (vcheck == 0)
3219     {                                            3219     {
3220       nfac++;                                    3220       nfac++;
3221       G4int i1 = (ix+0)*kvx + (iy+1)*kvy + (i    3221       G4int i1 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3222       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (i    3222       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3223       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3223       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3224       G4int i4 = (ix+1)*kvx + (iy+1)*kvy + (i    3224       G4int i4 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3225       if (indices[i1] == 0) indices[i1] = ++n    3225       if (indices[i1] == 0) indices[i1] = ++nver;
3226       if (indices[i2] == 0) indices[i2] = ++n    3226       if (indices[i2] == 0) indices[i2] = ++nver;
3227       if (indices[i3] == 0) indices[i3] = ++n    3227       if (indices[i3] == 0) indices[i3] = ++nver;
3228       if (indices[i4] == 0) indices[i4] = ++n    3228       if (indices[i4] == 0) indices[i4] = ++nver;
3229     }                                            3229     }
3230     // check (iz - 1) side                       3230     // check (iz - 1) side
3231     vcheck = (iz == 0) ? 0 : voxels[ix*kx + i    3231     vcheck = (iz == 0) ? 0 : voxels[ix*kx + iy*ky + (iz-1)];
3232     if (vcheck == 0)                             3232     if (vcheck == 0)
3233     {                                            3233     {
3234       nfac++;                                    3234       nfac++;
3235       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3235       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3236       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (i    3236       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3237       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3237       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3238       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (i    3238       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3239       if (indices[i1] == 0) indices[i1] = ++n    3239       if (indices[i1] == 0) indices[i1] = ++nver;
3240       if (indices[i2] == 0) indices[i2] = ++n    3240       if (indices[i2] == 0) indices[i2] = ++nver;
3241       if (indices[i3] == 0) indices[i3] = ++n    3241       if (indices[i3] == 0) indices[i3] = ++nver;
3242       if (indices[i4] == 0) indices[i4] = ++n    3242       if (indices[i4] == 0) indices[i4] = ++nver;
3243     }                                            3243     }
3244     // check (iz + 1) side                       3244     // check (iz + 1) side
3245     vcheck = (iz == nz - 1) ? 0 : voxels[ix*k    3245     vcheck = (iz == nz - 1) ? 0 : voxels[ix*kx + iy*ky + (iz+1)];
3246     if (vcheck == 0)                             3246     if (vcheck == 0)
3247     {                                            3247     {
3248       nfac++;                                    3248       nfac++;
3249       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3249       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3250       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (i    3250       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3251       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3251       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3252       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (i    3252       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3253       if (indices[i1] == 0) indices[i1] = ++n    3253       if (indices[i1] == 0) indices[i1] = ++nver;
3254       if (indices[i2] == 0) indices[i2] = ++n    3254       if (indices[i2] == 0) indices[i2] = ++nver;
3255       if (indices[i3] == 0) indices[i3] = ++n    3255       if (indices[i3] == 0) indices[i3] = ++nver;
3256       if (indices[i4] == 0) indices[i4] = ++n    3256       if (indices[i4] == 0) indices[i4] = ++nver;
3257     }                                            3257     }
3258   }                                              3258   }
3259   // Construct polyhedron                        3259   // Construct polyhedron
3260   AllocateMemory(nver, nfac);                    3260   AllocateMemory(nver, nfac);
3261   G4ThreeVector p0(pmin.x() - 0.5*sizeX, pmin    3261   G4ThreeVector p0(pmin.x() - 0.5*sizeX, pmin.y() - 0.5*sizeY, pmin.z() - 0.5*sizeZ);
3262   for (G4int ix = 0; ix <= nx; ++ix)             3262   for (G4int ix = 0; ix <= nx; ++ix)
3263   {                                              3263   {
3264     for (G4int iy = 0; iy <= ny; ++iy)           3264     for (G4int iy = 0; iy <= ny; ++iy)
3265     {                                            3265     {
3266       for (G4int iz = 0; iz <= nz; ++iz)         3266       for (G4int iz = 0; iz <= nz; ++iz)
3267       {                                          3267       {
3268   G4int i = ix*kvx + iy*kvy + iz;                3268   G4int i = ix*kvx + iy*kvy + iz;
3269   if (indices[i] == 0) continue;                 3269   if (indices[i] == 0) continue;
3270   SetVertex(indices[i], p0 + G4ThreeVector(ix    3270   SetVertex(indices[i], p0 + G4ThreeVector(ix*sizeX, iy*sizeY, iz*sizeZ));
3271       }                                          3271       }
3272     }                                            3272     }
3273   }                                              3273   }
3274   nfac = 0;                                      3274   nfac = 0;
3275   for (const auto& p: positions)                 3275   for (const auto& p: positions)
3276   {                                              3276   {
3277     G4int ix = (p.x() - pmin.x())*invx + 0.5;    3277     G4int ix = (p.x() - pmin.x())*invx + 0.5;
3278     G4int iy = (p.y() - pmin.y())*invy + 0.5;    3278     G4int iy = (p.y() - pmin.y())*invy + 0.5;
3279     G4int iz = (p.z() - pmin.z())*invz + 0.5;    3279     G4int iz = (p.z() - pmin.z())*invz + 0.5;
3280     G4int vcheck = 0;                            3280     G4int vcheck = 0;
3281     // check (ix - 1) side                       3281     // check (ix - 1) side
3282     vcheck = (ix == 0) ? 0 : voxels[(ix-1)*kx    3282     vcheck = (ix == 0) ? 0 : voxels[(ix-1)*kx + iy*ky + iz];
3283     if (vcheck == 0)                             3283     if (vcheck == 0)
3284     {                                            3284     {
3285       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3285       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3286       G4int i2 = (ix+0)*kvx + (iy+0)*kvy + (i    3286       G4int i2 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3287       G4int i3 = (ix+0)*kvx + (iy+1)*kvy + (i    3287       G4int i3 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3288       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (i    3288       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3289       SetFacet(++nfac, indices[i1], indices[i    3289       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3290     }                                            3290     }
3291     // check (ix + 1) side                       3291     // check (ix + 1) side
3292     vcheck = (ix == nx - 1) ? 0 : voxels[(ix+    3292     vcheck = (ix == nx - 1) ? 0 : voxels[(ix+1)*kx + iy*ky + iz];
3293     if (vcheck == 0)                             3293     if (vcheck == 0)
3294     {                                            3294     {
3295       G4int i1 = (ix+1)*kvx + (iy+1)*kvy + (i    3295       G4int i1 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3296       G4int i2 = (ix+1)*kvx + (iy+1)*kvy + (i    3296       G4int i2 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3297       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (i    3297       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3298       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (i    3298       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3299       SetFacet(++nfac, indices[i1], indices[i    3299       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3300                                                  3300 
3301     }                                            3301     }
3302     // check (iy - 1) side                       3302     // check (iy - 1) side
3303     vcheck = (iy == 0) ? 0 : voxels[ix*kx + (    3303     vcheck = (iy == 0) ? 0 : voxels[ix*kx + (iy-1)*ky + iz];
3304     if (vcheck == 0)                             3304     if (vcheck == 0)
3305     {                                            3305     {
3306       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3306       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3307       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (i    3307       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3308       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (i    3308       G4int i3 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3309       G4int i4 = (ix+0)*kvx + (iy+0)*kvy + (i    3309       G4int i4 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3310       SetFacet(++nfac, indices[i1], indices[i    3310       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3311     }                                            3311     }
3312     // check (iy + 1) side                       3312     // check (iy + 1) side
3313     vcheck = (iy == ny - 1) ? 0 : voxels[ix*k    3313     vcheck = (iy == ny - 1) ? 0 : voxels[ix*kx + (iy+1)*ky + iz];
3314     if (vcheck == 0)                             3314     if (vcheck == 0)
3315     {                                            3315     {
3316       G4int i1 = (ix+0)*kvx + (iy+1)*kvy + (i    3316       G4int i1 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3317       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (i    3317       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3318       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3318       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3319       G4int i4 = (ix+1)*kvx + (iy+1)*kvy + (i    3319       G4int i4 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3320       SetFacet(++nfac, indices[i1], indices[i    3320       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3321     }                                            3321     }
3322     // check (iz - 1) side                       3322     // check (iz - 1) side
3323     vcheck = (iz == 0) ? 0 : voxels[ix*kx + i    3323     vcheck = (iz == 0) ? 0 : voxels[ix*kx + iy*ky + (iz-1)];
3324     if (vcheck == 0)                             3324     if (vcheck == 0)
3325     {                                            3325     {
3326       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3326       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+0); // 000
3327       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (i    3327       G4int i2 = (ix+0)*kvx + (iy+1)*kvy + (iz+0); // 010
3328       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3328       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+0); // 110
3329       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (i    3329       G4int i4 = (ix+1)*kvx + (iy+0)*kvy + (iz+0); // 100
3330       SetFacet(++nfac, indices[i1], indices[i    3330       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3331     }                                            3331     }
3332     // check (iz + 1) side                       3332     // check (iz + 1) side
3333     vcheck = (iz == nz - 1) ? 0 : voxels[ix*k    3333     vcheck = (iz == nz - 1) ? 0 : voxels[ix*kx + iy*ky + (iz+1)];
3334     if (vcheck == 0)                             3334     if (vcheck == 0)
3335     {                                            3335     {
3336       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (i    3336       G4int i1 = (ix+0)*kvx + (iy+0)*kvy + (iz+1); // 001
3337       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (i    3337       G4int i2 = (ix+1)*kvx + (iy+0)*kvy + (iz+1); // 101
3338       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (i    3338       G4int i3 = (ix+1)*kvx + (iy+1)*kvy + (iz+1); // 111
3339       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (i    3339       G4int i4 = (ix+0)*kvx + (iy+1)*kvy + (iz+1); // 011
3340       SetFacet(++nfac, indices[i1], indices[i    3340       SetFacet(++nfac, indices[i1], indices[i2], indices[i3], indices[i4]);
3341     }                                            3341     }
3342   }                                              3342   }
3343   SetReferences();                               3343   SetReferences();
3344 }                                                3344 }
3345                                                  3345 
3346 HepPolyhedronBoxMesh::~HepPolyhedronBoxMesh()    3346 HepPolyhedronBoxMesh::~HepPolyhedronBoxMesh() = default;
3347                                                  3347 
3348 G4ThreadLocal                                    3348 G4ThreadLocal
3349 G4int HepPolyhedron::fNumberOfRotationSteps =    3349 G4int HepPolyhedron::fNumberOfRotationSteps = DEFAULT_NUMBER_OF_STEPS;
3350 /********************************************    3350 /***********************************************************************
3351  *                                               3351  *                                                                     *
3352  * Name: HepPolyhedron::fNumberOfRotationStep    3352  * Name: HepPolyhedron::fNumberOfRotationSteps       Date:    24.06.97 *
3353  * Author: J.Allison (Manchester University)     3353  * Author: J.Allison (Manchester University)         Revised:          *
3354  *                                               3354  *                                                                     *
3355  * Function: Number of steps for whole circle    3355  * Function: Number of steps for whole circle                          *
3356  *                                               3356  *                                                                     *
3357  ********************************************    3357  ***********************************************************************/
3358                                                  3358 
3359 #include "BooleanProcessor.src"                  3359 #include "BooleanProcessor.src"
3360                                                  3360 
3361 HepPolyhedron HepPolyhedron::add(const HepPol    3361 HepPolyhedron HepPolyhedron::add(const HepPolyhedron & p) const
3362 /********************************************    3362 /***********************************************************************
3363  *                                               3363  *                                                                     *
3364  * Name: HepPolyhedron::add                      3364  * Name: HepPolyhedron::add                          Date:    19.03.00 *
3365  * Author: E.Chernyaev                           3365  * Author: E.Chernyaev                               Revised:          *
3366  *                                               3366  *                                                                     *
3367  * Function: Boolean "union" of two polyhedra    3367  * Function: Boolean "union" of two polyhedra                          *
3368  *                                               3368  *                                                                     *
3369  ********************************************    3369  ***********************************************************************/
3370 {                                                3370 {
3371   G4int ierr;                                    3371   G4int ierr;
3372   BooleanProcessor processor;                    3372   BooleanProcessor processor;
3373   return processor.execute(OP_UNION, *this, p    3373   return processor.execute(OP_UNION, *this, p,ierr);
3374 }                                                3374 }
3375                                                  3375 
3376 HepPolyhedron HepPolyhedron::intersect(const     3376 HepPolyhedron HepPolyhedron::intersect(const HepPolyhedron & p) const
3377 /********************************************    3377 /***********************************************************************
3378  *                                               3378  *                                                                     *
3379  * Name: HepPolyhedron::intersect                3379  * Name: HepPolyhedron::intersect                    Date:    19.03.00 *
3380  * Author: E.Chernyaev                           3380  * Author: E.Chernyaev                               Revised:          *
3381  *                                               3381  *                                                                     *
3382  * Function: Boolean "intersection" of two po    3382  * Function: Boolean "intersection" of two polyhedra                   *
3383  *                                               3383  *                                                                     *
3384  ********************************************    3384  ***********************************************************************/
3385 {                                                3385 {
3386   G4int ierr;                                    3386   G4int ierr;
3387   BooleanProcessor processor;                    3387   BooleanProcessor processor;
3388   return processor.execute(OP_INTERSECTION, *    3388   return processor.execute(OP_INTERSECTION, *this, p,ierr);
3389 }                                                3389 }
3390                                                  3390 
3391 HepPolyhedron HepPolyhedron::subtract(const H    3391 HepPolyhedron HepPolyhedron::subtract(const HepPolyhedron & p) const
3392 /********************************************    3392 /***********************************************************************
3393  *                                               3393  *                                                                     *
3394  * Name: HepPolyhedron::add                      3394  * Name: HepPolyhedron::add                          Date:    19.03.00 *
3395  * Author: E.Chernyaev                           3395  * Author: E.Chernyaev                               Revised:          *
3396  *                                               3396  *                                                                     *
3397  * Function: Boolean "subtraction" of "p" fro    3397  * Function: Boolean "subtraction" of "p" from "this"                  *
3398  *                                               3398  *                                                                     *
3399  ********************************************    3399  ***********************************************************************/
3400 {                                                3400 {
3401   G4int ierr;                                    3401   G4int ierr;
3402   BooleanProcessor processor;                    3402   BooleanProcessor processor;
3403   return processor.execute(OP_SUBTRACTION, *t    3403   return processor.execute(OP_SUBTRACTION, *this, p,ierr);
3404 }                                                3404 }
3405                                                  3405 
3406 //NOTE : include the code of HepPolyhedronPro    3406 //NOTE : include the code of HepPolyhedronProcessor here
3407 //       since there is no BooleanProcessor.h    3407 //       since there is no BooleanProcessor.h
3408                                                  3408 
3409 #undef INTERSECTION                              3409 #undef INTERSECTION
3410                                                  3410 
3411 #include "HepPolyhedronProcessor.src"            3411 #include "HepPolyhedronProcessor.src"
3412                                                  3412