Geant4 Cross Reference

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Geant4/geometry/solids/specific/src/G4EllipticalCone.cc

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Differences between /geometry/solids/specific/src/G4EllipticalCone.cc (Version 11.3.0) and /geometry/solids/specific/src/G4EllipticalCone.cc (Version 4.0)


  1 //                                                  1 
  2 // *******************************************    
  3 // * License and Disclaimer                       
  4 // *                                              
  5 // * The  Geant4 software  is  copyright of th    
  6 // * the Geant4 Collaboration.  It is provided    
  7 // * conditions of the Geant4 Software License    
  8 // * LICENSE and available at  http://cern.ch/    
  9 // * include a list of copyright holders.         
 10 // *                                              
 11 // * Neither the authors of this software syst    
 12 // * institutes,nor the agencies providing fin    
 13 // * work  make  any representation or  warran    
 14 // * regarding  this  software system or assum    
 15 // * use.  Please see the license in the file     
 16 // * for the full disclaimer and the limitatio    
 17 // *                                              
 18 // * This  code  implementation is the result     
 19 // * technical work of the GEANT4 collaboratio    
 20 // * By using,  copying,  modifying or  distri    
 21 // * any work based  on the software)  you  ag    
 22 // * use  in  resulting  scientific  publicati    
 23 // * acceptance of all terms of the Geant4 Sof    
 24 // *******************************************    
 25 //                                                
 26 // Implementation of G4EllipticalCone class       
 27 //                                                
 28 // This code implements an Elliptical Cone giv    
 29 // equation:                                      
 30 //   x^2/a^2 + y^2/b^2 = (z-h)^2                  
 31 // and specified by the parameters (a,b,h) and    
 32 // xy plane above z = 0.                          
 33 //                                                
 34 // Author: Dionysios Anninos                      
 35 // Revised: Evgueni Tcherniaev                    
 36 // -------------------------------------------    
 37                                                   
 38 #if !(defined(G4GEOM_USE_UELLIPTICALCONE) && d    
 39                                                   
 40 #include "globals.hh"                             
 41                                                   
 42 #include "G4EllipticalCone.hh"                    
 43                                                   
 44 #include "G4RandomTools.hh"                       
 45 #include "G4GeomTools.hh"                         
 46 #include "G4ClippablePolygon.hh"                  
 47 #include "G4VoxelLimits.hh"                       
 48 #include "G4AffineTransform.hh"                   
 49 #include "G4BoundingEnvelope.hh"                  
 50 #include "G4GeometryTolerance.hh"                 
 51                                                   
 52 #include "meshdefs.hh"                            
 53                                                   
 54 #include "Randomize.hh"                           
 55                                                   
 56 #include "G4VGraphicsScene.hh"                    
 57 #include "G4VisExtent.hh"                         
 58                                                   
 59 #include "G4AutoLock.hh"                          
 60                                                   
 61 namespace                                         
 62 {                                                 
 63   G4Mutex polyhedronMutex = G4MUTEX_INITIALIZE    
 64 }                                                 
 65                                                   
 66 using namespace CLHEP;                            
 67                                                   
 68 //////////////////////////////////////////////    
 69 //                                                
 70 // Constructor - check parameters                 
 71                                                   
 72 G4EllipticalCone::G4EllipticalCone(const G4Str    
 73                                          G4dou    
 74                                          G4dou    
 75                                          G4dou    
 76                                          G4dou    
 77   : G4VSolid(pName), zTopCut(0.)                  
 78 {                                                 
 79   halfCarTol = 0.5*kCarTolerance;                 
 80                                                   
 81   // Check Semi-Axis & Z-cut                      
 82   //                                              
 83   if ( (pxSemiAxis <= 0.) || (pySemiAxis <= 0.    
 84   {                                               
 85      std::ostringstream message;                  
 86      message << "Invalid semi-axis or height f    
 87              << "\n   X semi-axis, Y semi-axis    
 88              << pxSemiAxis << ", " << pySemiAx    
 89      G4Exception("G4EllipticalCone::G4Elliptic    
 90                  FatalErrorInArgument, message    
 91    }                                              
 92                                                   
 93   if ( pzTopCut <= 0 )                            
 94   {                                               
 95      std::ostringstream message;                  
 96      message << "Invalid z-coordinate for cutt    
 97              << "\n   Z top cut = " << pzTopCu    
 98      G4Exception("G4EllipticalCone::G4Elliptic    
 99                  FatalErrorInArgument, message    
100   }                                               
101                                                   
102   SetSemiAxis( pxSemiAxis, pySemiAxis, pzMax )    
103   SetZCut(pzTopCut);                              
104 }                                                 
105                                                   
106 //////////////////////////////////////////////    
107 //                                                
108 // Fake default constructor - sets only member    
109 //                            for usage restri    
110                                                   
111 G4EllipticalCone::G4EllipticalCone( __void__&     
112   : G4VSolid(a), halfCarTol(0.),                  
113     xSemiAxis(0.), ySemiAxis(0.), zheight(0.),    
114     cosAxisMin(0.), invXX(0.), invYY(0.)          
115 {                                                 
116 }                                                 
117                                                   
118 //////////////////////////////////////////////    
119 //                                                
120 // Destructor                                     
121                                                   
122 G4EllipticalCone::~G4EllipticalCone()             
123 {                                                 
124   delete fpPolyhedron; fpPolyhedron = nullptr;    
125 }                                                 
126                                                   
127 //////////////////////////////////////////////    
128 //                                                
129 // Copy constructor                               
130                                                   
131 G4EllipticalCone::G4EllipticalCone(const G4Ell    
132   : G4VSolid(rhs), halfCarTol(rhs.halfCarTol),    
133     fCubicVolume(rhs.fCubicVolume), fSurfaceAr    
134     xSemiAxis(rhs.xSemiAxis), ySemiAxis(rhs.yS    
135     zheight(rhs.zheight), zTopCut(rhs.zTopCut)    
136     cosAxisMin(rhs.cosAxisMin), invXX(rhs.invX    
137 {                                                 
138 }                                                 
139                                                   
140 //////////////////////////////////////////////    
141 //                                                
142 // Assignment operator                            
143                                                   
144 G4EllipticalCone& G4EllipticalCone::operator =    
145 {                                                 
146    // Check assignment to self                    
147    //                                             
148    if (this == &rhs)  { return *this; }           
149                                                   
150    // Copy base class data                        
151    //                                             
152    G4VSolid::operator=(rhs);                      
153                                                   
154    // Copy data                                   
155    //                                             
156    halfCarTol = rhs.halfCarTol;                   
157    fCubicVolume = rhs.fCubicVolume; fSurfaceAr    
158    xSemiAxis = rhs.xSemiAxis; ySemiAxis = rhs.    
159    zheight = rhs.zheight; zTopCut = rhs.zTopCu    
160    cosAxisMin = rhs.cosAxisMin; invXX = rhs.in    
161                                                   
162    fRebuildPolyhedron = false;                    
163    delete fpPolyhedron; fpPolyhedron = nullptr    
164                                                   
165    return *this;                                  
166 }                                                 
167                                                   
168 //////////////////////////////////////////////    
169 //                                                
170 // Get bounding box                               
171                                                   
172 void G4EllipticalCone::BoundingLimits(G4ThreeV    
173                                       G4ThreeV    
174 {                                                 
175   G4double zcut   = GetZTopCut();                 
176   G4double height = GetZMax();                    
177   G4double xmax   = GetSemiAxisX()*(height+zcu    
178   G4double ymax   = GetSemiAxisY()*(height+zcu    
179   pMin.set(-xmax,-ymax,-zcut);                    
180   pMax.set( xmax, ymax, zcut);                    
181                                                   
182   // Check correctness of the bounding box        
183   //                                              
184   if (pMin.x() >= pMax.x() || pMin.y() >= pMax    
185   {                                               
186     std::ostringstream message;                   
187     message << "Bad bounding box (min >= max)     
188             << GetName() << " !"                  
189             << "\npMin = " << pMin                
190             << "\npMax = " << pMax;               
191     G4Exception("G4EllipticalCone::BoundingLim    
192                 JustWarning, message);            
193     DumpInfo();                                   
194   }                                               
195 }                                                 
196                                                   
197 //////////////////////////////////////////////    
198 //                                                
199 // Calculate extent under transform and specif    
200                                                   
201 G4bool                                            
202 G4EllipticalCone::CalculateExtent(const EAxis     
203                                   const G4Voxe    
204                                   const G4Affi    
205                                         G4doub    
206 {                                                 
207   G4ThreeVector bmin,bmax;                        
208   G4bool exist;                                   
209                                                   
210   // Check bounding box (bbox)                    
211   //                                              
212   BoundingLimits(bmin,bmax);                      
213   G4BoundingEnvelope bbox(bmin,bmax);             
214 #ifdef G4BBOX_EXTENT                              
215   return bbox.CalculateExtent(pAxis,pVoxelLimi    
216 #endif                                            
217   if (bbox.BoundingBoxVsVoxelLimits(pAxis,pVox    
218   {                                               
219     return exist = pMin < pMax;                   
220   }                                               
221                                                   
222   // Set bounding envelope (benv) and calculat    
223   //                                              
224   static const G4int NSTEPS = 48; // number of    
225   static const G4double ang = twopi/NSTEPS;       
226   static const G4double sinHalf = std::sin(0.5    
227   static const G4double cosHalf = std::cos(0.5    
228   static const G4double sinStep = 2.*sinHalf*c    
229   static const G4double cosStep = 1. - 2.*sinH    
230   G4double zcut   = bmax.z();                     
231   G4double height = GetZMax();                    
232   G4double sxmin  = GetSemiAxisX()*(height-zcu    
233   G4double symin  = GetSemiAxisY()*(height-zcu    
234   G4double sxmax  = bmax.x()/cosHalf;             
235   G4double symax  = bmax.y()/cosHalf;             
236                                                   
237   G4double sinCur = sinHalf;                      
238   G4double cosCur = cosHalf;                      
239   G4ThreeVectorList baseA(NSTEPS),baseB(NSTEPS    
240   for (G4int k=0; k<NSTEPS; ++k)                  
241   {                                               
242     baseA[k].set(sxmax*cosCur,symax*sinCur,-zc    
243     baseB[k].set(sxmin*cosCur,symin*sinCur, zc    
244                                                   
245     G4double sinTmp = sinCur;                     
246     sinCur = sinCur*cosStep + cosCur*sinStep;     
247     cosCur = cosCur*cosStep - sinTmp*sinStep;     
248   }                                               
249                                                   
250   std::vector<const G4ThreeVectorList *> polyg    
251   polygons[0] = &baseA;                           
252   polygons[1] = &baseB;                           
253   G4BoundingEnvelope benv(bmin,bmax,polygons);    
254   exist = benv.CalculateExtent(pAxis,pVoxelLim    
255   return exist;                                   
256 }                                                 
257                                                   
258 //////////////////////////////////////////////    
259 //                                                
260 // Determine where is point: inside, outside o    
261                                                   
262 EInside G4EllipticalCone::Inside(const G4Three    
263 {                                                 
264   G4double hp = std::sqrt(p.x()*p.x()*invXX +     
265   G4double ds = (hp - zheight)*cosAxisMin;        
266   G4double dz = std::abs(p.z()) - zTopCut;        
267   G4double dist = std::max(ds,dz);                
268                                                   
269   if (dist > halfCarTol) return kOutside;         
270   return (dist > -halfCarTol) ? kSurface : kIn    
271 }                                                 
272                                                   
273 //////////////////////////////////////////////    
274 //                                                
275 // Return unit normal at surface closest to p     
276                                                   
277 G4ThreeVector G4EllipticalCone::SurfaceNormal(    
278 {                                                 
279   G4ThreeVector norm(0,0,0);                      
280   G4int nsurf = 0;  // number of surfaces wher    
281                                                   
282   G4double hp = std::sqrt(p.x()*p.x()*invXX +     
283   G4double ds = (hp - zheight)*cosAxisMin;        
284   if (std::abs(ds) <= halfCarTol)                 
285   {                                               
286     norm = G4ThreeVector(p.x()*invXX, p.y()*in    
287     G4double mag = norm.mag();                    
288     if (mag == 0) return {0,0,1}; // apex         
289     norm *= (1/mag);                              
290     ++nsurf;                                      
291   }                                               
292   G4double dz = std::abs(p.z()) - zTopCut;        
293   if (std::abs(dz) <= halfCarTol)                 
294   {                                               
295     norm += G4ThreeVector(0., 0.,(p.z() < 0) ?    
296     ++nsurf;                                      
297   }                                               
298                                                   
299   if      (nsurf == 1) return norm;               
300   else if (nsurf >  1) return norm.unit(); //     
301   else                                            
302   {                                               
303     // Point is not on the surface                
304     //                                            
305 #ifdef G4CSGDEBUG                                 
306     std::ostringstream message;                   
307     G4long oldprc = message.precision(16);        
308     message << "Point p is not on surface (!?)    
309             << GetName() << G4endl;               
310     message << "Position:\n";                     
311     message << "   p.x() = " << p.x()/mm << "     
312     message << "   p.y() = " << p.y()/mm << "     
313     message << "   p.z() = " << p.z()/mm << "     
314     G4cout.precision(oldprc);                     
315     G4Exception("G4EllipticalCone::SurfaceNorm    
316                 JustWarning, message );           
317     DumpInfo();                                   
318 #endif                                            
319     return ApproxSurfaceNormal(p);                
320   }                                               
321 }                                                 
322                                                   
323 //////////////////////////////////////////////    
324 //                                                
325 // Find surface nearest to point and return co    
326 // The algorithm is similar to the algorithm u    
327 // This method normally should not be called.     
328                                                   
329 G4ThreeVector                                     
330 G4EllipticalCone::ApproxSurfaceNormal(const G4    
331 {                                                 
332   G4double hp = std::sqrt(p.x()*p.x()*invXX +     
333   G4double ds = (hp - zheight)*cosAxisMin;        
334   G4double dz = std::abs(p.z()) - zTopCut;        
335   if (ds > dz && std::abs(hp - p.z()) > halfCa    
336     return G4ThreeVector(p.x()*invXX, p.y()*in    
337   else                                            
338     return { 0., 0., (G4double)((p.z() < 0) ?     
339 }                                                 
340                                                   
341 //////////////////////////////////////////////    
342 //                                                
343 // Calculate distance to shape from outside, a    
344 // return kInfinity if no intersection, or int    
345                                                   
346 G4double G4EllipticalCone::DistanceToIn( const    
347                                          const    
348 {                                                 
349   G4double distMin = kInfinity;                   
350                                                   
351   // code from EllipticalTube                     
352                                                   
353   G4double sigz = p.z()+zTopCut;                  
354                                                   
355   //                                              
356   // Check z = -dz planer surface                 
357   //                                              
358                                                   
359   if (sigz < halfCarTol)                          
360   {                                               
361     //                                            
362     // We are "behind" the shape in z, and so     
363     // potentially hit the rear face. Correct     
364     //                                            
365     if (v.z() <= 0)                               
366     {                                             
367       //                                          
368       // As long as we are far enough away, we    
369       // can't intersect                          
370       //                                          
371       if (sigz < 0) return kInfinity;             
372                                                   
373       //                                          
374       // Otherwise, we don't intersect unless     
375       // on the surface of the ellipse            
376       //                                          
377                                                   
378       if ( sqr(p.x()/( xSemiAxis - halfCarTol     
379          + sqr(p.y()/( ySemiAxis - halfCarTol     
380         return kInfinity;                         
381                                                   
382     }                                             
383     else                                          
384     {                                             
385       //                                          
386       // How far?                                 
387       //                                          
388       G4double q = -sigz/v.z();                   
389                                                   
390       //                                          
391       // Where does that place us?                
392       //                                          
393       G4double xi = p.x() + q*v.x(),              
394                yi = p.y() + q*v.y();              
395                                                   
396       //                                          
397       // Is this on the surface (within ellips    
398       //                                          
399       if ( sqr(xi/xSemiAxis) + sqr(yi/ySemiAxi    
400       {                                           
401         //                                        
402         // Yup. Return q, unless we are on the    
403         //                                        
404         return (sigz < -halfCarTol) ? q : 0;      
405       }                                           
406       else if (xi/(xSemiAxis*xSemiAxis)*v.x()     
407              + yi/(ySemiAxis*ySemiAxis)*v.y()     
408       {                                           
409         //                                        
410         // Else, if we are traveling outwards,    
411         // we must miss                           
412         //                                        
413         //        return kInfinity;               
414       }                                           
415     }                                             
416   }                                               
417                                                   
418   //                                              
419   // Check z = +dz planer surface                 
420   //                                              
421   sigz = p.z() - zTopCut;                         
422                                                   
423   if (sigz > -halfCarTol)                         
424   {                                               
425     if (v.z() >= 0)                               
426     {                                             
427                                                   
428       if (sigz > 0) return kInfinity;             
429                                                   
430       if ( sqr(p.x()/( xSemiAxis - halfCarTol     
431          + sqr(p.y()/( ySemiAxis - halfCarTol     
432         return kInfinity;                         
433                                                   
434     }                                             
435     else {                                        
436       G4double q = -sigz/v.z();                   
437                                                   
438       G4double xi = p.x() + q*v.x(),              
439                yi = p.y() + q*v.y();              
440                                                   
441       if ( sqr(xi/xSemiAxis) + sqr(yi/ySemiAxi    
442       {                                           
443         return (sigz > -halfCarTol) ? q : 0;      
444       }                                           
445       else if (xi/(xSemiAxis*xSemiAxis)*v.x()     
446              + yi/(ySemiAxis*ySemiAxis)*v.y()     
447       {                                           
448         //        return kInfinity;               
449       }                                           
450     }                                             
451   }                                               
452                                                   
453                                                   
454 #if 0                                             
455                                                   
456   // check to see if Z plane is relevant          
457   //                                              
458   if (p.z() < -zTopCut - halfCarTol)              
459   {                                               
460     if (v.z() <= 0.0)                             
461       return distMin;                             
462                                                   
463     G4double lambda = (-zTopCut - p.z())/v.z()    
464                                                   
465     if ( sqr((lambda*v.x()+p.x())/xSemiAxis) +    
466          sqr((lambda*v.y()+p.y())/ySemiAxis) <    
467          sqr(zTopCut + zheight + halfCarTol) )    
468     {                                             
469       return distMin = std::fabs(lambda);         
470     }                                             
471   }                                               
472                                                   
473   if (p.z() > zTopCut + halfCarTol)               
474   {                                               
475     if (v.z() >= 0.0)                             
476       { return distMin; }                         
477                                                   
478     G4double lambda  = (zTopCut - p.z()) / v.z    
479                                                   
480     if ( sqr((lambda*v.x() + p.x())/xSemiAxis)    
481          sqr((lambda*v.y() + p.y())/ySemiAxis)    
482          sqr(zheight - zTopCut + halfCarTol) )    
483       {                                           
484         return distMin = std::fabs(lambda);       
485       }                                           
486   }                                               
487                                                   
488   if (p.z() > zTopCut - halfCarTol                
489    && p.z() < zTopCut + halfCarTol )              
490   {                                               
491     if (v.z() > 0.)                               
492       { return kInfinity; }                       
493                                                   
494     return distMin = 0.;                          
495   }                                               
496                                                   
497   if (p.z() < -zTopCut + halfCarTol               
498    && p.z() > -zTopCut - halfCarTol)              
499   {                                               
500     if (v.z() < 0.)                               
501       { return distMin = kInfinity; }             
502                                                   
503     return distMin = 0.;                          
504   }                                               
505                                                   
506 #endif                                            
507                                                   
508   // if we are here then it either intersects     
509   // or it does not intersect at all              
510   //                                              
511   G4double A = sqr(v.x()/xSemiAxis) + sqr(v.y(    
512   G4double B = 2*(v.x()*p.x()/sqr(xSemiAxis) +    
513                   v.y()*p.y()/sqr(ySemiAxis) +    
514   G4double C = sqr(p.x()/xSemiAxis) + sqr(p.y(    
515                sqr(zheight - p.z());              
516                                                   
517   G4double discr = B*B - 4.*A*C;                  
518                                                   
519   // if the discriminant is negative it never     
520   //                                              
521   if ( discr < -halfCarTol )                      
522     { return distMin; }                           
523                                                   
524   // case below is when it hits or grazes the     
525   //                                              
526   if ( (discr >= -halfCarTol ) && (discr < hal    
527   {                                               
528     return distMin = std::fabs(-B/(2.*A));        
529   }                                               
530                                                   
531   G4double plus  = (-B+std::sqrt(discr))/(2.*A    
532   G4double minus = (-B-std::sqrt(discr))/(2.*A    
533                                                   
534   // Special case::Point on Surface, Check nor    
535                                                   
536   if ( ( std::fabs(plus) < halfCarTol )||( std    
537   {                                               
538     G4ThreeVector truenorm(p.x()/(xSemiAxis*xS    
539                            p.y()/(ySemiAxis*yS    
540                            -( p.z() - zheight     
541     if ( truenorm*v >= 0)  //  going outside t    
542     {                                             
543       return kInfinity;                           
544     }                                             
545     else                                          
546     {                                             
547       return 0;                                   
548     }                                             
549   }                                               
550                                                   
551   // G4double lambda = std::fabs(plus) < std::    
552   G4double lambda = 0;                            
553                                                   
554   if ( minus > halfCarTol && minus < distMin )    
555   {                                               
556     lambda = minus ;                              
557     // check normal vector   n * v < 0            
558     G4ThreeVector pin = p + lambda*v;             
559     if(std::fabs(pin.z())< zTopCut + halfCarTo    
560     {                                             
561       G4ThreeVector truenorm(pin.x()/(xSemiAxi    
562                              pin.y()/(ySemiAxi    
563                              - ( pin.z() - zhe    
564       if ( truenorm*v < 0)                        
565       {   // yes, going inside the solid          
566         distMin = lambda;                         
567       }                                           
568     }                                             
569   }                                               
570   if ( plus > halfCarTol  && plus < distMin )     
571   {                                               
572     lambda = plus ;                               
573     // check normal vector   n * v < 0            
574     G4ThreeVector pin = p + lambda*v;             
575     if(std::fabs(pin.z()) < zTopCut + halfCarT    
576     {                                             
577       G4ThreeVector truenorm(pin.x()/(xSemiAxi    
578                              pin.y()/(ySemiAxi    
579                              - ( pin.z() - zhe    
580       if ( truenorm*v < 0)                        
581       {   // yes, going inside the solid          
582         distMin = lambda;                         
583       }                                           
584     }                                             
585   }                                               
586   if (distMin < halfCarTol) distMin=0.;           
587   return distMin ;                                
588 }                                                 
589                                                   
590 //////////////////////////////////////////////    
591 //                                                
592 // Calculate distance (<= actual) to closest s    
593 // Return 0 if point inside                       
594                                                   
595 G4double G4EllipticalCone::DistanceToIn(const     
596 {                                                 
597   G4double hp = std::sqrt(p.x()*p.x()*invXX +     
598   G4double ds = (hp - zheight)*cosAxisMin;        
599   G4double dz = std::abs(p.z()) - zTopCut;        
600   G4double dist = std::max(ds,dz);                
601   return (dist > 0) ? dist : 0.;                  
602 }                                                 
603                                                   
604 //////////////////////////////////////////////    
605 //                                                
606 // Calculate distance to surface of shape from    
607 // allowing for tolerance                         
608                                                   
609 G4double G4EllipticalCone::DistanceToOut(const    
610                                          const    
611                                          const    
612                                                   
613                                                   
614 {                                                 
615   G4double distMin, lambda;                       
616   enum surface_e {kPlaneSurf, kCurvedSurf, kNo    
617                                                   
618   distMin = kInfinity;                            
619   surface = kNoSurf;                              
620                                                   
621   if (v.z() < 0.0)                                
622   {                                               
623     lambda = (-p.z() - zTopCut)/v.z();            
624                                                   
625     if ( (sqr((p.x() + lambda*v.x())/xSemiAxis    
626           sqr((p.y() + lambda*v.y())/ySemiAxis    
627           sqr(zheight + zTopCut + halfCarTol)     
628     {                                             
629       distMin = std::fabs(lambda);                
630                                                   
631       if (!calcNorm) { return distMin; }          
632     }                                             
633     distMin = std::fabs(lambda);                  
634     surface = kPlaneSurf;                         
635   }                                               
636                                                   
637   if (v.z() > 0.0)                                
638   {                                               
639     lambda = (zTopCut - p.z()) / v.z();           
640                                                   
641     if ( (sqr((p.x() + lambda*v.x())/xSemiAxis    
642         + sqr((p.y() + lambda*v.y())/ySemiAxis    
643        < (sqr(zheight - zTopCut + halfCarTol))    
644     {                                             
645       distMin = std::fabs(lambda);                
646       if (!calcNorm) { return distMin; }          
647     }                                             
648     distMin = std::fabs(lambda);                  
649     surface = kPlaneSurf;                         
650   }                                               
651                                                   
652   // if we are here then it either intersects     
653   // curved surface...                            
654   //                                              
655   G4double A = sqr(v.x()/xSemiAxis) + sqr(v.y(    
656   G4double B = 2.*(v.x()*p.x()/sqr(xSemiAxis)     
657                    v.y()*p.y()/sqr(ySemiAxis)     
658   G4double C = sqr(p.x()/xSemiAxis) + sqr(p.y(    
659              - sqr(zheight - p.z());              
660                                                   
661   G4double discr = B*B - 4.*A*C;                  
662                                                   
663   if ( discr >= - halfCarTol && discr < halfCa    
664   {                                               
665     if(!calcNorm) { return distMin = std::fabs    
666   }                                               
667                                                   
668   else if ( discr > halfCarTol )                  
669   {                                               
670     G4double plus  = (-B+std::sqrt(discr))/(2.    
671     G4double minus = (-B-std::sqrt(discr))/(2.    
672                                                   
673     if ( plus > halfCarTol && minus > halfCarT    
674     {                                             
675       // take the shorter distance                
676       //                                          
677       lambda   = std::fabs(plus) < std::fabs(m    
678     }                                             
679     else                                          
680     {                                             
681       // at least one solution is close to zer    
682       // so, take small positive solution or z    
683       //                                          
684       lambda   = plus > -halfCarTol ? plus : 0    
685     }                                             
686                                                   
687     if ( std::fabs(lambda) < distMin )            
688     {                                             
689       if( std::fabs(lambda) > halfCarTol)         
690       {                                           
691         distMin  = std::fabs(lambda);             
692         surface  = kCurvedSurf;                   
693       }                                           
694       else  // Point is On the Surface, Check     
695       {                                           
696         G4ThreeVector truenorm(p.x()/(xSemiAxi    
697                                p.y()/(ySemiAxi    
698                                -( p.z() - zhei    
699         if( truenorm.dot(v) > 0 )                 
700         {                                         
701           distMin  = 0.0;                         
702           surface  = kCurvedSurf;                 
703         }                                         
704       }                                           
705     }                                             
706   }                                               
707                                                   
708   // set normal if requested                      
709   //                                              
710   if (calcNorm)                                   
711   {                                               
712     if (surface == kNoSurf)                       
713     {                                             
714       *validNorm = false;                         
715     }                                             
716     else                                          
717     {                                             
718       *validNorm = true;                          
719       switch (surface)                            
720       {                                           
721         case kPlaneSurf:                          
722         {                                         
723           *n = G4ThreeVector(0.,0.,(v.z() > 0.    
724         }                                         
725         break;                                    
726                                                   
727         case kCurvedSurf:                         
728         {                                         
729           G4ThreeVector pexit = p + distMin*v;    
730           G4ThreeVector truenorm( pexit.x()/(x    
731                                   pexit.y()/(y    
732                                   -( pexit.z()    
733           truenorm /= truenorm.mag();             
734           *n= truenorm;                           
735         }                                         
736         break;                                    
737                                                   
738         default:            // Should never re    
739           DumpInfo();                             
740           std::ostringstream message;             
741           G4long oldprc = message.precision(16    
742           message << "Undefined side for valid    
743                   << G4endl                       
744                   << "Position:"  << G4endl       
745                   << "   p.x() = "   << p.x()/    
746                   << "   p.y() = "   << p.y()/    
747                   << "   p.z() = "   << p.z()/    
748                   << "Direction:" << G4endl       
749                   << "   v.x() = "   << v.x()     
750                   << "   v.y() = "   << v.y()     
751                   << "   v.z() = "   << v.z()     
752                   << "Proposed distance :" <<     
753                   << "   distMin = "    << dis    
754           message.precision(oldprc);              
755           G4Exception("G4EllipticalCone::Dista    
756                       "GeomSolids1002", JustWa    
757           break;                                  
758       }                                           
759     }                                             
760   }                                               
761                                                   
762   if (distMin < halfCarTol) { distMin=0; }        
763                                                   
764   return distMin;                                 
765 }                                                 
766                                                   
767 //////////////////////////////////////////////    
768 //                                                
769 // Calculate distance (<=actual) to closest su    
770                                                   
771 G4double G4EllipticalCone::DistanceToOut(const    
772 {                                                 
773 #ifdef G4SPECSDEBUG                               
774   if( Inside(p) == kOutside )                     
775   {                                               
776      std::ostringstream message;                  
777      G4long oldprc = message.precision(16);       
778      message << "Point p is outside (!?) of so    
779              << "Position:\n"                     
780              << "   p.x() = "  << p.x()/mm <<     
781              << "   p.y() = "  << p.y()/mm <<     
782              << "   p.z() = "  << p.z()/mm <<     
783      message.precision(oldprc) ;                  
784      G4Exception("G4Ellipsoid::DistanceToOut(p    
785                  JustWarning, message);           
786      DumpInfo();                                  
787   }                                               
788 #endif                                            
789   G4double hp = std::sqrt(p.x()*p.x()*invXX +     
790   G4double ds = (zheight - hp)*cosAxisMin;        
791   G4double dz = zTopCut - std::abs(p.z());        
792   G4double dist = std::min(ds,dz);                
793   return (dist > 0) ? dist : 0.;                  
794 }                                                 
795                                                   
796 //////////////////////////////////////////////    
797 //                                                
798 // GetEntityType                                  
799                                                   
800 G4GeometryType G4EllipticalCone::GetEntityType    
801 {                                                 
802   return {"G4EllipticalCone"};                    
803 }                                                 
804                                                   
805 //////////////////////////////////////////////    
806 //                                                
807 // Make a clone of the object                     
808                                                   
809 G4VSolid* G4EllipticalCone::Clone() const         
810 {                                                 
811   return new G4EllipticalCone(*this);             
812 }                                                 
813                                                   
814 //////////////////////////////////////////////    
815 //                                                
816 // Stream object contents to an output stream     
817                                                   
818 std::ostream& G4EllipticalCone::StreamInfo( st    
819 {                                                 
820   G4long oldprc = os.precision(16);               
821   os << "-------------------------------------    
822      << "    *** Dump for solid - " << GetName    
823      << "    =================================    
824      << " Solid type: G4EllipticalCone\n"         
825      << " Parameters: \n"                         
826                                                   
827      << "    semi-axis x: " << xSemiAxis/mm <<    
828      << "    semi-axis y: " << ySemiAxis/mm <<    
829      << "    height    z: " << zheight/mm << "    
830      << "    half length in  z: " << zTopCut/m    
831      << "-------------------------------------    
832   os.precision(oldprc);                           
833                                                   
834   return os;                                      
835 }                                                 
836                                                   
837 //////////////////////////////////////////////    
838 //                                                
839 // Return random point on the surface of the s    
840                                                   
841 G4ThreeVector G4EllipticalCone::GetPointOnSurf    
842 {                                                 
843   G4double x0 = xSemiAxis*zheight; // x semi a    
844   G4double y0 = ySemiAxis*zheight; // y semi a    
845   G4double s0 = G4GeomTools::EllipticConeLater    
846   G4double kmin = (zTopCut >= zheight ) ? 0. :    
847   G4double kmax = (zTopCut >= zheight ) ? 2. :    
848                                                   
849   // Set areas (base at -Z, side surface, base    
850   //                                              
851   G4double szmin =  pi*x0*y0*kmax*kmax;           
852   G4double szmax =  pi*x0*y0*kmin*kmin;           
853   G4double sside =  s0*(kmax*kmax - kmin*kmin)    
854   G4double ssurf[3] = { szmin, sside, szmax };    
855   for (auto i=1; i<3; ++i) { ssurf[i] += ssurf    
856                                                   
857   // Select surface                               
858   //                                              
859   G4double select = ssurf[2]*G4UniformRand();     
860   G4int k = 2;                                    
861   if (select <= ssurf[1]) k = 1;                  
862   if (select <= ssurf[0]) k = 0;                  
863                                                   
864   // Pick random point on selected surface        
865   //                                              
866   G4ThreeVector p;                                
867   switch(k)                                       
868   {                                               
869     case 0: // base at -Z, uniform distributio    
870     {                                             
871       G4double zh = zheight + zTopCut;            
872       G4TwoVector rho = G4RandomPointInEllipse    
873       p.set(rho.x(),rho.y(),-zTopCut);            
874       break;                                      
875     }                                             
876     case 1: // side surface, uniform distribut    
877     {                                             
878       G4double zh = G4RandomRadiusInRing(zheig    
879       G4double a = x0;                            
880       G4double b = y0;                            
881                                                   
882       G4double hh = zheight*zheight;              
883       G4double aa = a*a;                          
884       G4double bb = b*b;                          
885       G4double R  = std::max(a,b);                
886       G4double mu_max = R*std::sqrt(hh + R*R);    
887                                                   
888       G4double x,y;                               
889       for (auto i=0; i<1000; ++i)                 
890       {                                           
891   G4double phi = CLHEP::twopi*G4UniformRand();    
892         x = std::cos(phi);                        
893         y = std::sin(phi);                        
894         G4double xx = x*x;                        
895         G4double yy = y*y;                        
896         G4double E = hh + aa*xx + bb*yy;          
897         G4double F = (aa-bb)*x*y;                 
898         G4double G = aa*yy + bb*xx;               
899         G4double mu = std::sqrt(E*G - F*F);       
900         if (mu_max*G4UniformRand() <= mu) brea    
901       }                                           
902       p.set(zh*xSemiAxis*x,zh*ySemiAxis*y,zhei    
903       break;                                      
904     }                                             
905     case 2: // base at +Z, uniform distributio    
906     {                                             
907       G4double zh = zheight - zTopCut;            
908       G4TwoVector rho = G4RandomPointInEllipse    
909       p.set(rho.x(),rho.y(),zTopCut);             
910       break;                                      
911     }                                             
912   }                                               
913   return p;                                       
914 }                                                 
915                                                   
916 //////////////////////////////////////////////    
917 //                                                
918 // Get cubic volume                               
919                                                   
920 G4double G4EllipticalCone::GetCubicVolume()       
921 {                                                 
922   if (fCubicVolume == 0.0)                        
923   {                                               
924     G4double x0 = xSemiAxis*zheight; // x semi    
925     G4double y0 = ySemiAxis*zheight; // y semi    
926     G4double v0 = CLHEP::pi*x0*y0*zheight/3.;     
927     G4double kmin = (zTopCut >= zheight ) ? 0.    
928     G4double kmax = (zTopCut >= zheight ) ? 2.    
929     fCubicVolume = (kmax - kmin)*(kmax*kmax +     
930   }                                               
931   return fCubicVolume;                            
932 }                                                 
933                                                   
934 //////////////////////////////////////////////    
935 //                                                
936 // Get surface area                               
937                                                   
938 G4double G4EllipticalCone::GetSurfaceArea()       
939 {                                                 
940   if (fSurfaceArea == 0.0)                        
941   {                                               
942     G4double x0 = xSemiAxis*zheight; // x semi    
943     G4double y0 = ySemiAxis*zheight; // y semi    
944     G4double s0 = G4GeomTools::EllipticConeLat    
945     G4double kmin = (zTopCut >= zheight ) ? 0.    
946     G4double kmax = (zTopCut >= zheight ) ? 2.    
947     fSurfaceArea = (kmax - kmin)*(kmax + kmin)    
948                  + CLHEP::pi*x0*y0*(kmin*kmin     
949   }                                               
950   return fSurfaceArea;                            
951 }                                                 
952                                                   
953 //////////////////////////////////////////////    
954 //                                                
955 // Methods for visualisation                      
956                                                   
957 void G4EllipticalCone::DescribeYourselfTo (G4V    
958 {                                                 
959   scene.AddSolid(*this);                          
960 }                                                 
961                                                   
962 G4VisExtent G4EllipticalCone::GetExtent() cons    
963 {                                                 
964   // Define the sides of the box into which th    
965   //                                              
966   G4ThreeVector pmin,pmax;                        
967   BoundingLimits(pmin,pmax);                      
968   return { pmin.x(), pmax.x(), pmin.y(), pmax.    
969 }                                                 
970                                                   
971 G4Polyhedron* G4EllipticalCone::CreatePolyhedr    
972 {                                                 
973   return new G4PolyhedronEllipticalCone(xSemiA    
974 }                                                 
975                                                   
976 G4Polyhedron* G4EllipticalCone::GetPolyhedron     
977 {                                                 
978   if ( (fpPolyhedron == nullptr)                  
979     || fRebuildPolyhedron                         
980     || (fpPolyhedron->GetNumberOfRotationSteps    
981         fpPolyhedron->GetNumberOfRotationSteps    
982     {                                             
983       G4AutoLock l(&polyhedronMutex);             
984       delete fpPolyhedron;                        
985       fpPolyhedron = CreatePolyhedron();          
986       fRebuildPolyhedron = false;                 
987       l.unlock();                                 
988     }                                             
989   return fpPolyhedron;                            
990 }                                                 
991                                                   
992 #endif // !defined(G4GEOM_USE_UELLIPTICALCONE)    
993