Geant4 Cross Reference

Cross-Referencing   Geant4
Geant4/graphics_reps/include/HepPolyhedron.h

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Diff markup

Differences between /graphics_reps/include/HepPolyhedron.h (Version 11.3.0) and /graphics_reps/include/HepPolyhedron.h (Version 10.7.p2)


  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 //
                                                   >>  27 //
                                                   >>  28 //
 26 // Class Description:                              29 // Class Description:
 27 // HepPolyhedron is an intermediate class betw     30 // HepPolyhedron is an intermediate class between description of a shape
 28 // and visualization systems. It is intended t     31 // and visualization systems. It is intended to provide some service like:
 29 //   - polygonization of shapes with trianguli     32 //   - polygonization of shapes with triangulization (quadrilaterization)
 30 //     of complex polygons;                        33 //     of complex polygons;
 31 //   - calculation of normals for faces and ve     34 //   - calculation of normals for faces and vertices;
 32 //   - finding result of boolean operation on      35 //   - finding result of boolean operation on polyhedra;
 33 //                                                 36 //
 34 // Public constructors:                            37 // Public constructors:
 35 //                                                 38 //
 36 //   HepPolyhedronBox (dx,dy,dz)                   39 //   HepPolyhedronBox (dx,dy,dz)
 37 //                                        - cr     40 //                                        - create polyhedron for Box;
 38 //   HepPolyhedronTrd1 (dx1,dx2,dy,dz)             41 //   HepPolyhedronTrd1 (dx1,dx2,dy,dz)
 39 //                                        - cr     42 //                                        - create polyhedron for Trd1;
 40 //   HepPolyhedronTrd2 (dx1,dx2,dy1,dy2,dz)        43 //   HepPolyhedronTrd2 (dx1,dx2,dy1,dy2,dz)
 41 //                                        - cr     44 //                                        - create polyhedron for Trd2;
 42 //   HepPolyhedronTrap (dz,theta,phi, h1,bl1,t     45 //   HepPolyhedronTrap (dz,theta,phi, h1,bl1,tl1,alp1, h2,bl2,tl2,alp2)
 43 //                                        - cr     46 //                                        - create polyhedron for Trap;
 44 //   HepPolyhedronPara (dx,dy,dz,alpha,theta,p     47 //   HepPolyhedronPara (dx,dy,dz,alpha,theta,phi)
 45 //                                        - cr     48 //                                        - create polyhedron for Para;
 46 //   HepPolyhedronTube (rmin,rmax,dz)              49 //   HepPolyhedronTube (rmin,rmax,dz)
 47 //                                        - cr     50 //                                        - create polyhedron for Tube;
 48 //   HepPolyhedronTubs (rmin,rmax,dz,phi1,dphi     51 //   HepPolyhedronTubs (rmin,rmax,dz,phi1,dphi)
 49 //                                        - cr     52 //                                        - create polyhedron for Tubs;
 50 //   HepPolyhedronCone (rmin1,rmax1,rmin2,rmax     53 //   HepPolyhedronCone (rmin1,rmax1,rmin2,rmax2,dz)
 51 //                                        - cr     54 //                                        - create polyhedron for Cone;
 52 //   HepPolyhedronCons (rmin1,rmax1,rmin2,rmax     55 //   HepPolyhedronCons (rmin1,rmax1,rmin2,rmax2,dz,phi1,dphi)
 53 //                                        - cr     56 //                                        - create polyhedron for Cons;
 54 //   HepPolyhedronPgon (phi,dphi,npdv,nz, z(*)     57 //   HepPolyhedronPgon (phi,dphi,npdv,nz, z(*),rmin(*),rmax(*))
 55 //                                        - cr     58 //                                        - create polyhedron for Pgon;
 56 //   HepPolyhedronPcon (phi,dphi,nz, z(*),rmin     59 //   HepPolyhedronPcon (phi,dphi,nz, z(*),rmin(*),rmax(*))
 57 //                                        - cr     60 //                                        - create polyhedron for Pcon;
 58 //   HepPolyhedronSphere (rmin,rmax,phi,dphi,t     61 //   HepPolyhedronSphere (rmin,rmax,phi,dphi,the,dthe)
 59 //                                        - cr     62 //                                        - create polyhedron for Sphere;
 60 //   HepPolyhedronTorus (rmin,rmax,rtor,phi,dp     63 //   HepPolyhedronTorus (rmin,rmax,rtor,phi,dphi)
 61 //                                        - cr     64 //                                        - create polyhedron for Torus;
 62 //   HepPolyhedronTet (p0[3],p1[3],p2[3],p3[3]     65 //   HepPolyhedronTet (p0[3],p1[3],p2[3],p3[3])
 63 //                                        - cr     66 //                                        - create polyhedron for Tet;
 64 //   HepPolyhedronEllipsoid (dx,dy,dz,zcut1,zc     67 //   HepPolyhedronEllipsoid (dx,dy,dz,zcut1,zcut2)
 65 //                                        - cr     68 //                                        - create polyhedron for Ellipsoid;
 66 //   HepPolyhedronEllipticalCone(dx,dy,z,zcut1     69 //   HepPolyhedronEllipticalCone(dx,dy,z,zcut1)
 67 //                                        - cr     70 //                                        - create polyhedron for Elliptical cone;
 68 //   HepPolyhedronParaboloid (r1,r2,dz,phi,dph     71 //   HepPolyhedronParaboloid (r1,r2,dz,phi,dphi)
 69 //                                        - cr     72 //                                        - create polyhedron for Paraboloid;
 70 //   HepPolyhedronHype (r1,r2,tan1,tan2,halfz)     73 //   HepPolyhedronHype (r1,r2,tan1,tan2,halfz)
 71 //                                        - cr     74 //                                        - create polyhedron for Hype;
 72 //   HepPolyhedronHyperbolicMirror (a,h,r)         75 //   HepPolyhedronHyperbolicMirror (a,h,r)
 73 //                                        - cr     76 //                                        - create polyhedron for Hyperbolic mirror;
 74 //   HepPolyhedronTetMesh (vector<p>)          << 
 75 //                                        - cr << 
 76 //   HepPolyhedronBoxMesh (sx,sy,sz,vector<p>) << 
 77 //                                        - cr << 
 78 // Public functions:                               77 // Public functions:
 79 //                                                 78 //
 80 //   GetNoVertices ()       - returns number o     79 //   GetNoVertices ()       - returns number of vertices;
 81 //   GetNoFacets ()         - returns number o     80 //   GetNoFacets ()         - returns number of faces;
 82 //   GetNextVertexIndex (index,edgeFlag) - get     81 //   GetNextVertexIndex (index,edgeFlag) - get vertex indices of the
 83 //                            quadrilaterals i     82 //                            quadrilaterals in order;
 84 //                            returns false wh     83 //                            returns false when finished each face;
 85 //   GetVertex (index)      - returns vertex b     84 //   GetVertex (index)      - returns vertex by index;
 86 //   GetNextVertex (vertex,edgeFlag) - get ver     85 //   GetNextVertex (vertex,edgeFlag) - get vertices with edge visibility
 87 //                            of the quadrilat     86 //                            of the quadrilaterals in order;
 88 //                            returns false wh     87 //                            returns false when finished each face;
 89 //   GetNextVertex (vertex,edgeFlag,normal) -      88 //   GetNextVertex (vertex,edgeFlag,normal) - get vertices with edge
 90 //                            visibility and n     89 //                            visibility and normal of the quadrilaterals
 91 //                            in order; return     90 //                            in order; returns false when finished each face;
 92 //   GetNextEdgeIndices (i1,i2,edgeFlag) - get     91 //   GetNextEdgeIndices (i1,i2,edgeFlag) - get indices of the next edge;
 93 //                            returns false fo     92 //                            returns false for the last edge;
 94 //   GetNextEdgeIndices (i1,i2,edgeFlag,iface1     93 //   GetNextEdgeIndices (i1,i2,edgeFlag,iface1,iface2) - get indices of
 95 //                            the next edge wi     94 //                            the next edge with indices of the faces
 96 //                            to which the edg     95 //                            to which the edge belongs;
 97 //                            returns false fo     96 //                            returns false for the last edge;
 98 //   GetNextEdge (p1,p2,edgeFlag) - get next e     97 //   GetNextEdge (p1,p2,edgeFlag) - get next edge;
 99 //                            returns false fo     98 //                            returns false for the last edge;
100 //   GetNextEdge (p1,p2,edgeFlag,iface1,iface2     99 //   GetNextEdge (p1,p2,edgeFlag,iface1,iface2) - get next edge with indices
101 //                            of the faces to     100 //                            of the faces to which the edge belongs;
102 //                            returns false fo    101 //                            returns false for the last edge;
103 //   GetFacet (index,n,nodes,edgeFlags=0,norma    102 //   GetFacet (index,n,nodes,edgeFlags=0,normals=0) - get face by index;
104 //   GetNextFacet (n,nodes,edgeFlags=0,normals    103 //   GetNextFacet (n,nodes,edgeFlags=0,normals=0) - get next face with normals
105 //                            at the nodes; re    104 //                            at the nodes; returns false for the last face;
106 //   GetNormal (index)      - get normal of fa    105 //   GetNormal (index)      - get normal of face given by index;
107 //   GetUnitNormal (index)  - get unit normal     106 //   GetUnitNormal (index)  - get unit normal of face given by index;
108 //   GetNextNormal (normal) - get normals of e    107 //   GetNextNormal (normal) - get normals of each face in order;
109 //                            returns false wh    108 //                            returns false when finished all faces;
110 //   GetNextUnitNormal (normal) - get normals     109 //   GetNextUnitNormal (normal) - get normals of unit length of each face
111 //                            in order; return    110 //                            in order; returns false when finished all faces;
112 //   GetSurfaceArea()       - get surface area    111 //   GetSurfaceArea()       - get surface area of the polyhedron;
113 //   GetVolume()            - get volume of th    112 //   GetVolume()            - get volume of the polyhedron;
114 //   GetNumberOfRotationSteps() - get number o << 113 //   GetNumberOfRotationSteps()   - get number of steps for whole circle;
115 //   SetVertex(index, v)    - set vertex;      << 
116 //   SetFacet(index,iv1,iv2,iv3,iv4) - set fac << 
117 //   SetReferences()        - set references t << 
118 //   JoinCoplanarFacets(tolerance) - join copl << 
119 //   InvertFacets()         - invert the order << 
120 //   SetNumberOfRotationSteps (n) - set number    114 //   SetNumberOfRotationSteps (n) - set number of steps for whole circle;
121 //   ResetNumberOfRotationSteps() - reset numb    115 //   ResetNumberOfRotationSteps() - reset number of steps for whole circle
122 //                            to default value    116 //                            to default value;
123 // History:                                       117 // History:
124 //                                                118 //
125 // 20.06.96 Evgeni Chernyaev <Evgueni.Tchernia    119 // 20.06.96 Evgeni Chernyaev <Evgueni.Tcherniaev@cern.ch> - initial version
126 //                                                120 //
127 // 23.07.96 John Allison                          121 // 23.07.96 John Allison
128 // - added GetNoVertices, GetNoFacets, GetNext    122 // - added GetNoVertices, GetNoFacets, GetNextVertex, GetNextNormal
129 //                                                123 //
130 // 30.09.96 E.Chernyaev                           124 // 30.09.96 E.Chernyaev
131 // - added GetNextVertexIndex, GetVertex by Ya    125 // - added GetNextVertexIndex, GetVertex by Yasuhide Sawada
132 // - added GetNextUnitNormal, GetNextEdgeIndic    126 // - added GetNextUnitNormal, GetNextEdgeIndices, GetNextEdge
133 // - improvements: angles now expected in radi    127 // - improvements: angles now expected in radians
134 //                 int -> G4int, double -> G4d << 128 //                 int -> G4int, double -> G4double  
135 // - G4ThreeVector replaced by either G4Point3    129 // - G4ThreeVector replaced by either G4Point3D or G4Normal3D
136 //                                                130 //
137 // 15.12.96 E.Chernyaev                           131 // 15.12.96 E.Chernyaev
138 // - private functions G4PolyhedronAlloc, G4Po    132 // - private functions G4PolyhedronAlloc, G4PolyhedronPrism renamed
139 //   to AllocateMemory and CreatePrism            133 //   to AllocateMemory and CreatePrism
140 // - added private functions GetNumberOfRotati    134 // - added private functions GetNumberOfRotationSteps, RotateEdge,
141 //   RotateAroundZ, SetReferences                 135 //   RotateAroundZ, SetReferences
142 // - rewritten G4PolyhedronCons;                  136 // - rewritten G4PolyhedronCons;
143 // - added G4PolyhedronPara, ...Trap, ...Pgon,    137 // - added G4PolyhedronPara, ...Trap, ...Pgon, ...Pcon, ...Sphere, ...Torus,
144 //   so full List of implemented shapes now lo    138 //   so full List of implemented shapes now looks like:
145 //   BOX, TRD1, TRD2, TRAP, TUBE, TUBS, CONE,     139 //   BOX, TRD1, TRD2, TRAP, TUBE, TUBS, CONE, CONS, PARA, PGON, PCON,
146 //   SPHERE, TORUS                                140 //   SPHERE, TORUS
147 //                                                141 //
148 // 01.06.97 E.Chernyaev                           142 // 01.06.97 E.Chernyaev
149 // - RotateAroundZ modified and SetSideFacets     143 // - RotateAroundZ modified and SetSideFacets added to allow Rmin=Rmax
150 //   in bodies of revolution                      144 //   in bodies of revolution
151 //                                                145 //
152 // 24.06.97 J.Allison                             146 // 24.06.97 J.Allison
153 // - added static private member fNumberOfRota    147 // - added static private member fNumberOfRotationSteps and static public
154 //   functions void SetNumberOfRotationSteps (    148 //   functions void SetNumberOfRotationSteps (G4int n) and
155 //   void ResetNumberOfRotationSteps ().  Modi    149 //   void ResetNumberOfRotationSteps ().  Modified
156 //   GetNumberOfRotationSteps() appropriately.    150 //   GetNumberOfRotationSteps() appropriately.  Made all three functions
157 //   inline (at end of this .hh file).            151 //   inline (at end of this .hh file).
158 //   Usage:                                       152 //   Usage:
159 //    G4Polyhedron::SetNumberOfRotationSteps      153 //    G4Polyhedron::SetNumberOfRotationSteps
160 //     (fpView -> GetViewParameters ().GetNoOf    154 //     (fpView -> GetViewParameters ().GetNoOfSides ());
161 //    pPolyhedron = solid.CreatePolyhedron ();    155 //    pPolyhedron = solid.CreatePolyhedron ();
162 //    G4Polyhedron::ResetNumberOfRotationSteps    156 //    G4Polyhedron::ResetNumberOfRotationSteps ();
163 //                                                157 //
164 // 19.03.00 E.Chernyaev                           158 // 19.03.00 E.Chernyaev
165 // - added boolean operations (add, subtract,     159 // - added boolean operations (add, subtract, intersect) on polyhedra;
166 //                                                160 //
167 // 25.05.01 E.Chernyaev                           161 // 25.05.01 E.Chernyaev
168 // - added GetSurfaceArea() and GetVolume();      162 // - added GetSurfaceArea() and GetVolume();
169 //                                                163 //
170 // 05.11.02 E.Chernyaev                           164 // 05.11.02 E.Chernyaev
171 // - added createTwistedTrap() and createPolyh    165 // - added createTwistedTrap() and createPolyhedron();
172 //                                                166 //
173 // 06.03.05 J.Allison                             167 // 06.03.05 J.Allison
174 // - added IsErrorBooleanProcess                  168 // - added IsErrorBooleanProcess
175 //                                                169 //
176 // 20.06.05 G.Cosmo                               170 // 20.06.05 G.Cosmo
177 // - added HepPolyhedronEllipsoid                 171 // - added HepPolyhedronEllipsoid
178 //                                                172 //
179 // 18.07.07 T.Nikitina                         << 
180 // - added HepPolyhedronParaboloid;            << 
181 //                                             << 
182 // 21.10.09 J.Allison                             173 // 21.10.09 J.Allison
183 // - removed IsErrorBooleanProcess (now error     174 // - removed IsErrorBooleanProcess (now error is returned through argument)
184 //                                                175 //
185 // 22.02.20 E.Chernyaev                        << 
186 // - added HepPolyhedronTet, HepPolyhedronHybe << 
187 //                                             << 
188 // 12.05.21 E.Chernyaev                        << 
189 // - added TriangulatePolygon(), RotateContour << 
190 // - added HepPolyhedronPgon, HepPolyhedronPco << 
191 //                                             << 
192 // 26.03.22 E.Chernyaev                        << 
193 // - added HepPolyhedronTetMesh                << 
194 //                                             << 
195 // 04.04.22 E.Chernyaev                        << 
196 // - added JoinCoplanarFacets()                << 
197 //                                             << 
198 // 07.04.22 E.Chernyaev                        << 
199 // - added HepPolyhedronBoxMesh                << 
200                                                   176 
201 #ifndef HEP_POLYHEDRON_HH                         177 #ifndef HEP_POLYHEDRON_HH
202 #define HEP_POLYHEDRON_HH                         178 #define HEP_POLYHEDRON_HH
203                                                   179 
204 #include <vector>                              << 
205 #include "G4Types.hh"                             180 #include "G4Types.hh"
206 #include "G4TwoVector.hh"                      << 
207 #include "G4ThreeVector.hh"                    << 
208 #include "G4Point3D.hh"                           181 #include "G4Point3D.hh"
209 #include "G4Normal3D.hh"                          182 #include "G4Normal3D.hh"
210 #include "G4Transform3D.hh"                       183 #include "G4Transform3D.hh"
211                                                   184 
212 #ifndef DEFAULT_NUMBER_OF_STEPS                   185 #ifndef DEFAULT_NUMBER_OF_STEPS
213 #define DEFAULT_NUMBER_OF_STEPS 24                186 #define DEFAULT_NUMBER_OF_STEPS 24
214 #endif                                            187 #endif
215                                                   188 
216 class G4Facet {                                   189 class G4Facet {
217   friend class HepPolyhedron;                     190   friend class HepPolyhedron;
218   friend std::ostream& operator<<(std::ostream    191   friend std::ostream& operator<<(std::ostream&, const G4Facet &facet);
219                                                   192 
220  private:                                         193  private:
221   struct G4Edge { G4int v,f; };                   194   struct G4Edge { G4int v,f; };
222   G4Edge edge[4];                                 195   G4Edge edge[4];
223                                                   196 
224  public:                                          197  public:
225   G4Facet(G4int v1=0, G4int f1=0, G4int v2=0,  << 198   G4Facet(G4int v1=0, G4int f1=0, G4int v2=0, G4int f2=0, 
226           G4int v3=0, G4int f3=0, G4int v4=0,     199           G4int v3=0, G4int f3=0, G4int v4=0, G4int f4=0)
227   { edge[0].v=v1; edge[0].f=f1; edge[1].v=v2;     200   { edge[0].v=v1; edge[0].f=f1; edge[1].v=v2; edge[1].f=f2;
228     edge[2].v=v3; edge[2].f=f3; edge[3].v=v4;     201     edge[2].v=v3; edge[2].f=f3; edge[3].v=v4; edge[3].f=f4; }
229 };                                                202 };
230                                                   203 
231 class HepPolyhedron {                             204 class HepPolyhedron {
232   friend std::ostream& operator<<(std::ostream    205   friend std::ostream& operator<<(std::ostream&, const HepPolyhedron &ph);
233                                                   206 
234  protected:                                       207  protected:
235   static G4ThreadLocal G4int fNumberOfRotation    208   static G4ThreadLocal G4int fNumberOfRotationSteps;
236   G4int nvert, nface;                             209   G4int nvert, nface;
237   G4Point3D  *pV;                                 210   G4Point3D  *pV;
238   G4Facet    *pF;                                 211   G4Facet    *pF;
239                                                   212 
240   // Re-allocate memory for HepPolyhedron         213   // Re-allocate memory for HepPolyhedron
241   void AllocateMemory(G4int Nvert, G4int Nface    214   void AllocateMemory(G4int Nvert, G4int Nface);
242                                                   215 
243   // Find neighbouring facet                      216   // Find neighbouring facet
244   G4int FindNeighbour(G4int iFace, G4int iNode    217   G4int FindNeighbour(G4int iFace, G4int iNode, G4int iOrder) const;
245                                                   218 
246   // Find normal at node                          219   // Find normal at node
247   G4Normal3D FindNodeNormal(G4int iFace, G4int    220   G4Normal3D FindNodeNormal(G4int iFace, G4int iNode) const;
248                                                   221 
249   // Create HepPolyhedron for prism with quadr    222   // Create HepPolyhedron for prism with quadrilateral base
250   void CreatePrism();                             223   void CreatePrism();
251                                                   224 
252   // Generate facets by revolving an edge arou    225   // Generate facets by revolving an edge around Z-axis
253   void RotateEdge(G4int k1, G4int k2, G4double    226   void RotateEdge(G4int k1, G4int k2, G4double r1, G4double r2,
254                   G4int v1, G4int v2, G4int vE    227                   G4int v1, G4int v2, G4int vEdge,
255                   G4bool ifWholeCircle, G4int     228                   G4bool ifWholeCircle, G4int ns, G4int &kface);
256                                                   229 
257   // Set side facets for the case of incomplet    230   // Set side facets for the case of incomplete rotation
258   void SetSideFacets(G4int ii[4], G4int vv[4],    231   void SetSideFacets(G4int ii[4], G4int vv[4],
259                      G4int *kk, G4double *r,      232                      G4int *kk, G4double *r,
260                      G4double dphi, G4int ns,     233                      G4double dphi, G4int ns, G4int &kface);
261                                                   234 
262   // Create HepPolyhedron for body of revoluti    235   // Create HepPolyhedron for body of revolution around Z-axis
263   void RotateAroundZ(G4int nstep, G4double phi    236   void RotateAroundZ(G4int nstep, G4double phi, G4double dphi,
264                      G4int np1, G4int np2,        237                      G4int np1, G4int np2,
265                      const G4double *z, G4doub    238                      const G4double *z, G4double *r,
266                      G4int nodeVis, G4int edge    239                      G4int nodeVis, G4int edgeVis);
267                                                   240 
268   // Create HepPolyhedron for body of revoluti << 241   // For each edge set reference to neighbouring facet
269   void RotateContourAroundZ(G4int nstep, G4dou << 242   void SetReferences();
270                             const std::vector< << 
271                             G4int nodeVis, G4i << 
272                                                << 
273   // Triangulate closed polygon (contour)      << 
274   G4bool TriangulatePolygon(const std::vector< << 
275                             std::vector<G4int> << 
276                                                   243 
277   // Helper function for TriangulatePolygon()  << 244   // Invert the order on nodes in facets
278   G4bool CheckSnip(const std::vector<G4TwoVect << 245   void InvertFacets();
279                    G4int a, G4int b, G4int c,  << 
280                    G4int n, const G4int* V);   << 
281                                                   246 
282  public:                                          247  public:
283   // Default constructor                       << 248   // Constructor
284   HepPolyhedron() : nvert(0), nface(0), pV(nul << 249   HepPolyhedron() : nvert(0), nface(0), pV(0), pF(0) {}
285                                                << 
286   // Constructor with allocation of memory     << 
287   HepPolyhedron(G4int Nvert, G4int Nface);     << 
288                                                   250 
289   // Copy constructor                             251   // Copy constructor
290   HepPolyhedron(const HepPolyhedron & from);      252   HepPolyhedron(const HepPolyhedron & from);
291                                                   253 
292   // Move constructor                             254   // Move constructor
293   HepPolyhedron(HepPolyhedron && from);           255   HepPolyhedron(HepPolyhedron && from);
294                                                   256 
295   // Destructor                                   257   // Destructor
296   virtual ~HepPolyhedron() { delete [] pV; del    258   virtual ~HepPolyhedron() { delete [] pV; delete [] pF; }
297                                                   259 
298   // Assignment                                   260   // Assignment
299   HepPolyhedron & operator=(const HepPolyhedro    261   HepPolyhedron & operator=(const HepPolyhedron & from);
300                                                   262 
301   // Move assignment                              263   // Move assignment
302   HepPolyhedron & operator=(HepPolyhedron && f    264   HepPolyhedron & operator=(HepPolyhedron && from);
303                                                   265 
304   // Get number of vertices                       266   // Get number of vertices
305   G4int GetNoVertices() const { return nvert;     267   G4int GetNoVertices() const { return nvert; }
306   G4int GetNoVerteces() const { return nvert;     268   G4int GetNoVerteces() const { return nvert; }  // Old spelling.
307                                                   269 
308   // Get number of facets                         270   // Get number of facets
309   G4int GetNoFacets() const { return nface; }     271   G4int GetNoFacets() const { return nface; }
310                                                   272 
311   // Transform the polyhedron                     273   // Transform the polyhedron
312   HepPolyhedron & Transform(const G4Transform3    274   HepPolyhedron & Transform(const G4Transform3D & t);
313                                                   275 
314   // Get next vertex index of the quadrilatera    276   // Get next vertex index of the quadrilateral
315   G4bool GetNextVertexIndex(G4int & index, G4i    277   G4bool GetNextVertexIndex(G4int & index, G4int & edgeFlag) const;
316                                                   278 
317   // Get vertex by index                       << 279   // Get vertex by index 
318   G4Point3D GetVertex(G4int index) const;         280   G4Point3D GetVertex(G4int index) const;
319                                                   281 
320   // Get next vertex + edge visibility of the     282   // Get next vertex + edge visibility of the quadrilateral
321   G4bool GetNextVertex(G4Point3D & vertex, G4i    283   G4bool GetNextVertex(G4Point3D & vertex, G4int & edgeFlag) const;
322                                                   284 
323   // Get next vertex + edge visibility + norma    285   // Get next vertex + edge visibility + normal of the quadrilateral
324   G4bool GetNextVertex(G4Point3D & vertex, G4i    286   G4bool GetNextVertex(G4Point3D & vertex, G4int & edgeFlag,
325                        G4Normal3D & normal) co    287                        G4Normal3D & normal) const;
326                                                   288 
327   // Get indices of the next edge with indices    289   // Get indices of the next edge with indices of the faces
328   G4bool GetNextEdgeIndices(G4int & i1, G4int     290   G4bool GetNextEdgeIndices(G4int & i1, G4int & i2, G4int & edgeFlag,
329                             G4int & iface1, G4    291                             G4int & iface1, G4int & iface2) const;
330   G4bool GetNextEdgeIndeces(G4int & i1, G4int     292   G4bool GetNextEdgeIndeces(G4int & i1, G4int & i2, G4int & edgeFlag,
331                             G4int & iface1, G4    293                             G4int & iface1, G4int & iface2) const
332   {return GetNextEdgeIndices(i1,i2,edgeFlag,if    294   {return GetNextEdgeIndices(i1,i2,edgeFlag,iface1,iface2);}  // Old spelling
333                                                   295 
334   // Get indices of the next edge                 296   // Get indices of the next edge
335   G4bool GetNextEdgeIndices(G4int & i1, G4int     297   G4bool GetNextEdgeIndices(G4int & i1, G4int & i2, G4int & edgeFlag) const;
336   G4bool GetNextEdgeIndeces(G4int & i1, G4int     298   G4bool GetNextEdgeIndeces(G4int & i1, G4int & i2, G4int & edgeFlag) const
337   {return GetNextEdgeIndices(i1,i2,edgeFlag);}    299   {return GetNextEdgeIndices(i1,i2,edgeFlag);}  // Old spelling.
338                                                   300 
339   // Get next edge                                301   // Get next edge
340   G4bool GetNextEdge(G4Point3D &p1, G4Point3D     302   G4bool GetNextEdge(G4Point3D &p1, G4Point3D &p2, G4int &edgeFlag) const;
341                                                   303 
342   // Get next edge                                304   // Get next edge
343   G4bool GetNextEdge(G4Point3D &p1, G4Point3D     305   G4bool GetNextEdge(G4Point3D &p1, G4Point3D &p2, G4int &edgeFlag,
344                      G4int &iface1, G4int &ifa    306                      G4int &iface1, G4int &iface2) const;
345                                                   307 
346   // Get face by index                            308   // Get face by index
347   void GetFacet(G4int iFace, G4int &n, G4int *    309   void GetFacet(G4int iFace, G4int &n, G4int *iNodes,
348                 G4int *edgeFlags = nullptr, G4 << 310                 G4int *edgeFlags = 0, G4int *iFaces = 0) const;
349                                                   311 
350   // Get face by index                            312   // Get face by index
351   void GetFacet(G4int iFace, G4int &n, G4Point    313   void GetFacet(G4int iFace, G4int &n, G4Point3D *nodes,
352                 G4int *edgeFlags=nullptr, G4No << 314                 G4int *edgeFlags=0, G4Normal3D *normals=0) const;
353                                                   315 
354   // Get next face with normals at the nodes      316   // Get next face with normals at the nodes
355   G4bool GetNextFacet(G4int &n, G4Point3D *nod << 317   G4bool GetNextFacet(G4int &n, G4Point3D *nodes, G4int *edgeFlags=0,
356                       G4Normal3D *normals=null << 318                       G4Normal3D *normals=0) const;
357                                                   319 
358   // Get normal of the face given by index        320   // Get normal of the face given by index
359   G4Normal3D GetNormal(G4int iFace) const;        321   G4Normal3D GetNormal(G4int iFace) const;
360                                                   322 
361   // Get unit normal of the face given by inde    323   // Get unit normal of the face given by index
362   G4Normal3D GetUnitNormal(G4int iFace) const;    324   G4Normal3D GetUnitNormal(G4int iFace) const;
363                                                   325 
364   // Get normal of the next face                  326   // Get normal of the next face
365   G4bool GetNextNormal(G4Normal3D &normal) con    327   G4bool GetNextNormal(G4Normal3D &normal) const;
366                                                   328 
367   // Get normal of unit length of the next fac << 329   // Get normal of unit length of the next face 
368   G4bool GetNextUnitNormal(G4Normal3D &normal)    330   G4bool GetNextUnitNormal(G4Normal3D &normal) const;
369                                                   331 
370   // Boolean operations                        << 332   // Boolean operations 
371   HepPolyhedron add(const HepPolyhedron &p) co    333   HepPolyhedron add(const HepPolyhedron &p) const;
372   HepPolyhedron subtract(const HepPolyhedron &    334   HepPolyhedron subtract(const HepPolyhedron &p) const;
373   HepPolyhedron intersect(const HepPolyhedron     335   HepPolyhedron intersect(const HepPolyhedron &p) const;
374                                                   336 
375   // Get area of the surface of the polyhedron    337   // Get area of the surface of the polyhedron
376   G4double GetSurfaceArea() const;                338   G4double GetSurfaceArea() const;
377                                                   339 
378   // Get volume of the polyhedron                 340   // Get volume of the polyhedron
379   G4double GetVolume() const;                     341   G4double GetVolume() const;
380                                                   342 
381   // Get number of steps for whole circle         343   // Get number of steps for whole circle
382   static G4int GetNumberOfRotationSteps();        344   static G4int GetNumberOfRotationSteps();
383                                                   345 
384   // Set vertex (1 <= index <= Nvert)          << 
385   void SetVertex(G4int index, const G4Point3D& << 
386                                                << 
387   // Set facet (1 <= index <= Nface)           << 
388   void SetFacet(G4int index, G4int iv1, G4int  << 
389                                                << 
390   // For each edge set reference to neighbouri << 
391   // call this after all vertices and facets h << 
392   void SetReferences();                        << 
393                                                << 
394   // Join couples of triangular facets to quad << 
395   // where it is possible                      << 
396   void JoinCoplanarFacets(G4double tolerance); << 
397                                                << 
398   // Invert the order on nodes in facets       << 
399   void InvertFacets();                         << 
400                                                << 
401   // Set number of steps for whole circle         346   // Set number of steps for whole circle
402   static void SetNumberOfRotationSteps(G4int n    347   static void SetNumberOfRotationSteps(G4int n);
403                                                   348 
404   // Reset number of steps for whole circle to    349   // Reset number of steps for whole circle to default value
405   static void ResetNumberOfRotationSteps();       350   static void ResetNumberOfRotationSteps();
406                                                   351 
407   /**                                             352   /**
408    * Creates polyhedron for twisted trapezoid.    353    * Creates polyhedron for twisted trapezoid.
409    * The trapezoid is given by two bases perpe    354    * The trapezoid is given by two bases perpendicular to the z-axis.
410    *                                           << 355    * 
411    * @param  Dz  half length in z                 356    * @param  Dz  half length in z
412    * @param  xy1 1st base (at z = -Dz)            357    * @param  xy1 1st base (at z = -Dz)
413    * @param  xy2 2nd base (at z = +Dz)            358    * @param  xy2 2nd base (at z = +Dz)
414    * @return status of the operation - is non-    359    * @return status of the operation - is non-zero in case of problem
415    */                                             360    */
416   G4int createTwistedTrap(G4double Dz,            361   G4int createTwistedTrap(G4double Dz,
417                         const G4double xy1[][2    362                         const G4double xy1[][2], const G4double xy2[][2]);
418                                                   363 
419   /**                                             364   /**
420    * Creates user defined polyhedron.             365    * Creates user defined polyhedron.
421    * This function allows to the user to defin    366    * This function allows to the user to define arbitrary polyhedron.
422    * The faces of the polyhedron should be eit    367    * The faces of the polyhedron should be either triangles or planar
423    * quadrilateral. Nodes of a face are define    368    * quadrilateral. Nodes of a face are defined by indexes pointing to
424    * the elements in the xyz array. Numeration    369    * the elements in the xyz array. Numeration of the elements in the
425    * array starts from 1 (like in fortran). Th    370    * array starts from 1 (like in fortran). The indexes can be positive
426    * or negative. Negative sign means that the    371    * or negative. Negative sign means that the corresponding edge is
427    * invisible. The normal of the face should     372    * invisible. The normal of the face should be directed to exterior
428    * of the polyhedron.                        << 373    * of the polyhedron. 
429    *                                           << 374    * 
430    * @param  Nnodes number of nodes               375    * @param  Nnodes number of nodes
431    * @param  Nfaces number of faces               376    * @param  Nfaces number of faces
432    * @param  xyz    nodes                         377    * @param  xyz    nodes
433    * @param  faces  faces (quadrilaterals or t    378    * @param  faces  faces (quadrilaterals or triangles)
434    * @return status of the operation - is non-    379    * @return status of the operation - is non-zero in case of problem
435    */                                             380    */
436   G4int createPolyhedron(G4int Nnodes, G4int N    381   G4int createPolyhedron(G4int Nnodes, G4int Nfaces,
437                          const G4double xyz[][    382                          const G4double xyz[][3], const G4int faces[][4]);
438                                                << 
439   /**                                          << 
440    * Calculate the unweighted mean of all the  << 
441    * confused with the polyhedron centre or ce << 
442    * @return G4Point3D of the unweighted mean  << 
443    */                                          << 
444   G4Point3D vertexUnweightedMean() const;      << 
445 };                                                383 };
446                                                   384 
447 class HepPolyhedronTrd2 : public HepPolyhedron    385 class HepPolyhedronTrd2 : public HepPolyhedron
448 {                                                 386 {
449  public:                                          387  public:
450   HepPolyhedronTrd2(G4double Dx1, G4double Dx2    388   HepPolyhedronTrd2(G4double Dx1, G4double Dx2,
451                     G4double Dy1, G4double Dy2    389                     G4double Dy1, G4double Dy2, G4double Dz);
452   ~HepPolyhedronTrd2() override;               << 390   virtual ~HepPolyhedronTrd2();
453 };                                                391 };
454                                                   392 
455 class HepPolyhedronTrd1 : public HepPolyhedron    393 class HepPolyhedronTrd1 : public HepPolyhedronTrd2
456 {                                                 394 {
457  public:                                          395  public:
458   HepPolyhedronTrd1(G4double Dx1, G4double Dx2    396   HepPolyhedronTrd1(G4double Dx1, G4double Dx2,
459                     G4double Dy, G4double Dz);    397                     G4double Dy, G4double Dz);
460   ~HepPolyhedronTrd1() override;               << 398   virtual ~HepPolyhedronTrd1();
461 };                                                399 };
462                                                   400 
463 class HepPolyhedronBox : public HepPolyhedronT    401 class HepPolyhedronBox : public HepPolyhedronTrd2
464 {                                                 402 {
465  public:                                          403  public:
466   HepPolyhedronBox(G4double Dx, G4double Dy, G    404   HepPolyhedronBox(G4double Dx, G4double Dy, G4double Dz);
467   ~HepPolyhedronBox() override;                << 405   virtual ~HepPolyhedronBox();
468 };                                                406 };
469                                                   407 
470 class HepPolyhedronTrap : public HepPolyhedron    408 class HepPolyhedronTrap : public HepPolyhedron
471 {                                                 409 {
472  public:                                          410  public:
473   HepPolyhedronTrap(G4double Dz, G4double Thet    411   HepPolyhedronTrap(G4double Dz, G4double Theta, G4double Phi,
474                     G4double Dy1,                 412                     G4double Dy1,
475                     G4double Dx1, G4double Dx2    413                     G4double Dx1, G4double Dx2, G4double Alp1,
476                     G4double Dy2,                 414                     G4double Dy2,
477                     G4double Dx3, G4double Dx4    415                     G4double Dx3, G4double Dx4, G4double Alp2);
478   ~HepPolyhedronTrap() override;               << 416   virtual ~HepPolyhedronTrap();
479 };                                                417 };
480                                                   418 
481 class HepPolyhedronPara : public HepPolyhedron    419 class HepPolyhedronPara : public HepPolyhedronTrap
482 {                                                 420 {
483  public:                                          421  public:
484   HepPolyhedronPara(G4double Dx, G4double Dy,     422   HepPolyhedronPara(G4double Dx, G4double Dy, G4double Dz,
485                     G4double Alpha, G4double T    423                     G4double Alpha, G4double Theta, G4double Phi);
486   ~HepPolyhedronPara() override;               << 424   virtual ~HepPolyhedronPara();
487 };                                                425 };
488                                                   426 
489 class HepPolyhedronParaboloid : public HepPoly    427 class HepPolyhedronParaboloid : public HepPolyhedron
490 {                                                 428 {
491  public:                                          429  public:
492   HepPolyhedronParaboloid(G4double r1,            430   HepPolyhedronParaboloid(G4double r1,
493                           G4double r2,            431                           G4double r2,
494                           G4double dz,            432                           G4double dz,
495                           G4double Phi1,          433                           G4double Phi1,
496                           G4double Dphi);         434                           G4double Dphi);
497   ~HepPolyhedronParaboloid() override;         << 435   virtual ~HepPolyhedronParaboloid();
498 };                                                436 };
499                                                   437 
500 class HepPolyhedronHype : public HepPolyhedron    438 class HepPolyhedronHype : public HepPolyhedron
501 {                                                 439 {
502  public:                                          440  public:
503   HepPolyhedronHype(G4double r1,                  441   HepPolyhedronHype(G4double r1,
504                     G4double r2,                  442                     G4double r2,
505                     G4double tan1,                443                     G4double tan1,
506                     G4double tan2,                444                     G4double tan2,
507                     G4double halfZ);              445                     G4double halfZ);
508   ~HepPolyhedronHype() override;               << 446   virtual ~HepPolyhedronHype();
509 };                                                447 };
510                                                   448 
511 class HepPolyhedronCons : public HepPolyhedron    449 class HepPolyhedronCons : public HepPolyhedron
512 {                                                 450 {
513  public:                                          451  public:
514   HepPolyhedronCons(G4double Rmn1, G4double Rm << 452   HepPolyhedronCons(G4double Rmn1, G4double Rmx1, 
515                     G4double Rmn2, G4double Rm    453                     G4double Rmn2, G4double Rmx2, G4double Dz,
516                     G4double Phi1, G4double Dp << 454                     G4double Phi1, G4double Dphi); 
517   ~HepPolyhedronCons() override;               << 455   virtual ~HepPolyhedronCons();
518 };                                                456 };
519                                                   457 
520 class HepPolyhedronCone : public HepPolyhedron    458 class HepPolyhedronCone : public HepPolyhedronCons
521 {                                                 459 {
522  public:                                          460  public:
523   HepPolyhedronCone(G4double Rmn1, G4double Rm << 461   HepPolyhedronCone(G4double Rmn1, G4double Rmx1, 
524                     G4double Rmn2, G4double Rm    462                     G4double Rmn2, G4double Rmx2, G4double Dz);
525   ~HepPolyhedronCone() override;               << 463   virtual ~HepPolyhedronCone();
526 };                                                464 };
527                                                   465 
528 class HepPolyhedronTubs : public HepPolyhedron    466 class HepPolyhedronTubs : public HepPolyhedronCons
529 {                                                 467 {
530  public:                                          468  public:
531   HepPolyhedronTubs(G4double Rmin, G4double Rm << 469   HepPolyhedronTubs(G4double Rmin, G4double Rmax, G4double Dz, 
532                     G4double Phi1, G4double Dp    470                     G4double Phi1, G4double Dphi);
533   ~HepPolyhedronTubs() override;               << 471   virtual ~HepPolyhedronTubs();
534 };                                                472 };
535                                                   473 
536 class HepPolyhedronTube : public HepPolyhedron    474 class HepPolyhedronTube : public HepPolyhedronCons
537 {                                                 475 {
538  public:                                          476  public:
539   HepPolyhedronTube (G4double Rmin, G4double R    477   HepPolyhedronTube (G4double Rmin, G4double Rmax, G4double Dz);
540   ~HepPolyhedronTube() override;               << 478   virtual ~HepPolyhedronTube();
541 };                                                479 };
542                                                   480 
543 class HepPolyhedronPgon : public HepPolyhedron    481 class HepPolyhedronPgon : public HepPolyhedron
544 {                                                 482 {
545  public:                                          483  public:
546   HepPolyhedronPgon(G4double phi, G4double dph    484   HepPolyhedronPgon(G4double phi, G4double dphi, G4int npdv, G4int nz,
547                     const G4double *z,            485                     const G4double *z,
548                     const G4double *rmin,         486                     const G4double *rmin,
549                     const G4double *rmax);        487                     const G4double *rmax);
550   HepPolyhedronPgon(G4double phi, G4double dph << 488   virtual ~HepPolyhedronPgon();
551                     const std::vector<G4TwoVec << 
552   ~HepPolyhedronPgon() override;               << 
553 };                                                489 };
554                                                   490 
555 class HepPolyhedronPcon : public HepPolyhedron    491 class HepPolyhedronPcon : public HepPolyhedronPgon
556 {                                                 492 {
557  public:                                          493  public:
558   HepPolyhedronPcon(G4double phi, G4double dph    494   HepPolyhedronPcon(G4double phi, G4double dphi, G4int nz,
559                     const G4double *z,            495                     const G4double *z,
560                     const G4double *rmin,         496                     const G4double *rmin,
561                     const G4double *rmax);        497                     const G4double *rmax);
562   HepPolyhedronPcon(G4double phi, G4double dph << 498   virtual ~HepPolyhedronPcon();
563                     const std::vector<G4TwoVec << 
564   ~HepPolyhedronPcon() override;               << 
565 };                                                499 };
566                                                   500 
567 class HepPolyhedronSphere : public HepPolyhedr    501 class HepPolyhedronSphere : public HepPolyhedron
568 {                                                 502 {
569  public:                                          503  public:
570   HepPolyhedronSphere(G4double rmin, G4double     504   HepPolyhedronSphere(G4double rmin, G4double rmax,
571                       G4double phi, G4double d    505                       G4double phi, G4double dphi,
572                       G4double the, G4double d    506                       G4double the, G4double dthe);
573   ~HepPolyhedronSphere() override;             << 507   virtual ~HepPolyhedronSphere();
574 };                                                508 };
575                                                   509 
576 class HepPolyhedronTorus : public HepPolyhedro    510 class HepPolyhedronTorus : public HepPolyhedron
577 {                                                 511 {
578  public:                                          512  public:
579   HepPolyhedronTorus(G4double rmin, G4double r    513   HepPolyhedronTorus(G4double rmin, G4double rmax, G4double rtor,
580                      G4double phi, G4double dp    514                      G4double phi, G4double dphi);
581   ~HepPolyhedronTorus() override;              << 515   virtual ~HepPolyhedronTorus();
582 };                                                516 };
583                                                   517 
584 class HepPolyhedronTet : public HepPolyhedron     518 class HepPolyhedronTet : public HepPolyhedron
585 {                                                 519 {
586  public:                                          520  public:
587   HepPolyhedronTet(const G4double p0[3],          521   HepPolyhedronTet(const G4double p0[3],
588                    const G4double p1[3],          522                    const G4double p1[3],
589                    const G4double p2[3],          523                    const G4double p2[3],
590                    const G4double p3[3]);         524                    const G4double p3[3]);
591   ~HepPolyhedronTet() override;                << 525   virtual ~HepPolyhedronTet();
592 };                                                526 };
593                                                   527 
594 class HepPolyhedronEllipsoid : public HepPolyh    528 class HepPolyhedronEllipsoid : public HepPolyhedron
595 {                                                 529 {
596  public:                                          530  public:
597   HepPolyhedronEllipsoid(G4double dx, G4double << 531   HepPolyhedronEllipsoid(G4double dx, G4double dy, G4double dz, 
598                          G4double zcut1, G4dou    532                          G4double zcut1, G4double zcut2);
599   ~HepPolyhedronEllipsoid() override;          << 533   virtual ~HepPolyhedronEllipsoid();
600 };                                                534 };
601                                                   535 
602 class HepPolyhedronEllipticalCone : public Hep    536 class HepPolyhedronEllipticalCone : public HepPolyhedron
603 {                                                 537 {
604  public:                                          538  public:
605   HepPolyhedronEllipticalCone(G4double dx, G4d    539   HepPolyhedronEllipticalCone(G4double dx, G4double dy, G4double z,
606                               G4double zcut1);    540                               G4double zcut1);
607   ~HepPolyhedronEllipticalCone() override;     << 541   virtual ~HepPolyhedronEllipticalCone();
608 };                                                542 };
609                                                   543 
610 class HepPolyhedronHyperbolicMirror : public H    544 class HepPolyhedronHyperbolicMirror : public HepPolyhedron
611 {                                                 545 {
612  public:                                          546  public:
613   HepPolyhedronHyperbolicMirror(G4double a, G4    547   HepPolyhedronHyperbolicMirror(G4double a, G4double h, G4double r);
614   ~HepPolyhedronHyperbolicMirror() override;   << 548   virtual ~HepPolyhedronHyperbolicMirror();
615 };                                             << 
616                                                << 
617 class HepPolyhedronTetMesh : public HepPolyhed << 
618 {                                              << 
619  public:                                       << 
620   HepPolyhedronTetMesh(const std::vector<G4Thr << 
621   ~HepPolyhedronTetMesh() override;            << 
622 };                                             << 
623                                                << 
624 class HepPolyhedronBoxMesh : public HepPolyhed << 
625 {                                              << 
626  public:                                       << 
627   HepPolyhedronBoxMesh(G4double sizeX, G4doubl << 
628                        const std::vector<G4Thr << 
629   ~HepPolyhedronBoxMesh() override;            << 
630 };                                                549 };
631                                                   550 
632 #endif /* HEP_POLYHEDRON_HH */                    551 #endif /* HEP_POLYHEDRON_HH */
633                                                   552