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Geant4/processes/electromagnetic/standard/src/G4WentzelVIModel.cc

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Differences between /processes/electromagnetic/standard/src/G4WentzelVIModel.cc (Version 11.3.0) and /processes/electromagnetic/standard/src/G4WentzelVIModel.cc (Version 9.1)


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 25 //                                                
 26 //                                                
 27 // -------------------------------------------    
 28 //                                                
 29 // GEANT4 Class file                              
 30 //                                                
 31 //                                                
 32 // File name:   G4WentzelVIModel                  
 33 //                                                
 34 // Author:      V.Ivanchenko                      
 35 //                                                
 36 // Creation date: 09.04.2008 from G4MuMscModel    
 37 //                                                
 38 // Modifications:                                 
 39 // 27-05-2010 V.Ivanchenko added G4WentzelOKan    
 40 //              compute cross sections and sam    
 41 //                                                
 42 //                                                
 43 // Class Description:                             
 44 //                                                
 45 // Implementation of the model of multiple sca    
 46 // G.Wentzel, Z. Phys. 40 (1927) 590.             
 47 // H.W.Lewis, Phys Rev 78 (1950) 526.             
 48 // J.M. Fernandez-Varea et al., NIM B73 (1993)    
 49 // L.Urban, CERN-OPEN-2006-077.                   
 50                                                   
 51 // -------------------------------------------    
 52 //                                                
 53                                                   
 54 //....oooOO0OOooo........oooOO0OOooo........oo    
 55 //....oooOO0OOooo........oooOO0OOooo........oo    
 56                                                   
 57 #include "G4WentzelVIModel.hh"                    
 58 #include "G4PhysicalConstants.hh"                 
 59 #include "G4SystemOfUnits.hh"                     
 60 #include "Randomize.hh"                           
 61 #include "G4ParticleChangeForMSC.hh"              
 62 #include "G4PhysicsTableHelper.hh"                
 63 #include "G4ElementVector.hh"                     
 64 #include "G4ProductionCutsTable.hh"               
 65 #include "G4EmParameters.hh"                      
 66 #include "G4Log.hh"                               
 67 #include "G4Exp.hh"                               
 68                                                   
 69 //....oooOO0OOooo........oooOO0OOooo........oo    
 70                                                   
 71 using namespace std;                              
 72                                                   
 73 const G4double invsqrt12 = 1./std::sqrt(12.);     
 74 const G4double numlimit = 0.1;                    
 75 const G4int minNCollisions = 10;                  
 76                                                   
 77 G4WentzelVIModel::G4WentzelVIModel(G4bool comb    
 78   : G4VMscModel(nam),                             
 79     singleScatteringMode(false),                  
 80     isCombined(comb),                             
 81     useSecondMoment(false)                        
 82 {                                                 
 83   tlimitminfix = 1.e-6*CLHEP::mm;                 
 84   lowEnergyLimit = 1.0*CLHEP::eV;                 
 85   SetSingleScatteringFactor(1.25);                
 86   wokvi = new G4WentzelOKandVIxSection(isCombi    
 87 }                                                 
 88                                                   
 89 //....oooOO0OOooo........oooOO0OOooo........oo    
 90                                                   
 91 G4WentzelVIModel::~G4WentzelVIModel()             
 92 {                                                 
 93   delete wokvi;                                   
 94   if(IsMaster()) {                                
 95     delete fSecondMoments;                        
 96     fSecondMoments = nullptr;                     
 97   }                                               
 98 }                                                 
 99                                                   
100 //....oooOO0OOooo........oooOO0OOooo........oo    
101                                                   
102 void G4WentzelVIModel::Initialise(const G4Part    
103                                   const G4Data    
104 {                                                 
105   // reset parameters                             
106   SetupParticle(p);                               
107   InitialiseParameters(p);                        
108   currentRange = 0.0;                             
109                                                   
110   if(isCombined) {                                
111     G4double tet = PolarAngleLimit();             
112     if(tet <= 0.0)           { cosThetaMax = 1    
113     else if(tet < CLHEP::pi) { cosThetaMax = c    
114   }                                               
115   //G4cout << "G4WentzelVIModel::Initialise "     
116   //   << " " << this << " " << wokvi << G4end    
117                                                   
118   wokvi->Initialise(p, cosThetaMax);              
119   /*                                              
120   G4cout << "G4WentzelVIModel: " << particle->    
121          << "  1-cos(ThetaLimit)= " << 1 - cos    
122          << " SingScatFactor= " << ssFactor       
123          << G4endl;                               
124   */                                              
125   currentCuts = &cuts;                            
126                                                   
127   // set values of some data members              
128   fParticleChange = GetParticleChangeForMSC(p)    
129                                                   
130   // Access to materials                          
131   const G4ProductionCutsTable* theCoupleTable     
132     G4ProductionCutsTable::GetProductionCutsTa    
133   G4int numOfCouples = (G4int)theCoupleTable->    
134   nelments = 0;                                   
135   for(G4int i=0; i<numOfCouples; ++i) {           
136     G4int nelm = (G4int)theCoupleTable->GetMat    
137     nelments = std::max(nelments, nelm);          
138   }                                               
139   xsecn.resize(nelments);                         
140   prob.resize(nelments);                          
141                                                   
142   // build second moment table only if transpo    
143   G4PhysicsTable* table = GetCrossSectionTable    
144   if(useSecondMoment && IsMaster() && nullptr     
145                                                   
146     //G4cout << "### G4WentzelVIModel::Initial    
147     //           << table << G4endl;              
148     fSecondMoments =                              
149       G4PhysicsTableHelper::PreparePhysicsTabl    
150                                                   
151     G4bool splineFlag = true;                     
152     G4PhysicsVector* aVector = nullptr;           
153     G4PhysicsVector* bVector = nullptr;           
154     G4double emin = std::max(LowEnergyLimit(),    
155     G4double emax = std::min(HighEnergyLimit()    
156     if(emin < emax) {                             
157       std::size_t n = G4EmParameters::Instance    
158         *G4lrint(std::log10(emax/emin));          
159       if(n < 3) { n = 3; }                        
160                                                   
161       for(G4int i=0; i<numOfCouples; ++i) {       
162                                                   
163         //G4cout<< "i= " << i << " Flag=  " <<    
164         //      << G4endl;                        
165         if(fSecondMoments->GetFlag(i)) {          
166           DefineMaterial(theCoupleTable->GetMa    
167                                                   
168           delete (*fSecondMoments)[i];            
169           if(nullptr == aVector) {                
170             aVector = new G4PhysicsLogVector(e    
171             bVector = aVector;                    
172           } else {                                
173             bVector = new G4PhysicsVector(*aVe    
174           }                                       
175           for(std::size_t j=0; j<n; ++j) {        
176             G4double e = bVector->Energy(j);      
177             bVector->PutValue(j, ComputeSecond    
178           }                                       
179           if(splineFlag) { bVector->FillSecond    
180           (*fSecondMoments)[i] = bVector;         
181         }                                         
182       }                                           
183     }                                             
184     //G4cout << *fSecondMoments << G4endl;        
185   }                                               
186 }                                                 
187                                                   
188 //....oooOO0OOooo........oooOO0OOooo........oo    
189                                                   
190 void G4WentzelVIModel::InitialiseLocal(const G    
191                                        G4VEmMo    
192 {                                                 
193   fSecondMoments = static_cast<G4WentzelVIMode    
194     ->GetSecondMomentTable();                     
195 }                                                 
196                                                   
197 //....oooOO0OOooo........oooOO0OOooo........oo    
198                                                   
199 void G4WentzelVIModel::DefineMaterial(const G4    
200 {                                                 
201   if(cup != currentCouple) {                      
202     currentCouple = cup;                          
203     SetCurrentCouple(cup);                        
204     currentMaterial = cup->GetMaterial();         
205     currentMaterialIndex = currentCouple->GetI    
206   }                                               
207 }                                                 
208                                                   
209 //....oooOO0OOooo........oooOO0OOooo........oo    
210                                                   
211 G4double G4WentzelVIModel::ComputeCrossSection    
212                              const G4ParticleD    
213                              G4double kinEnerg    
214                              G4double Z, G4dou    
215                              G4double cutEnerg    
216 {                                                 
217   G4double cross = 0.0;                           
218   SetupParticle(p);                               
219   if(kinEnergy < lowEnergyLimit) { return cros    
220   if(nullptr == CurrentCouple()) {                
221     G4Exception("G4WentzelVIModel::ComputeCros    
222                 FatalException, " G4MaterialCu    
223     return 0.0;                                   
224   }                                               
225   DefineMaterial(CurrentCouple());                
226   cosTetMaxNuc = wokvi->SetupKinematic(kinEner    
227   if(cosTetMaxNuc < 1.0) {                        
228     G4double cut  = (0.0 < fixedCut) ? fixedCu    
229     G4double cost = wokvi->SetupTarget(G4lrint    
230     cross = wokvi->ComputeTransportCrossSectio    
231     /*                                            
232     if(p->GetParticleName() == "e-")              
233     G4cout << "G4WentzelVIModel::CS: Z= " << G    
234            << " 1-cosN= " << 1 - cosTetMaxNuc     
235            << " " << particle->GetParticleName    
236     */                                            
237   }                                               
238   return cross;                                   
239 }                                                 
240                                                   
241 //....oooOO0OOooo........oooOO0OOooo........oo    
242                                                   
243 void G4WentzelVIModel::StartTracking(G4Track*     
244 {                                                 
245   /*                                              
246   G4cout << "G4WentzelVIModel::StartTracking "    
247    << track->GetParticleDefinition()->GetParti    
248    << "   workvi: " << wokvi << G4endl;           
249   */                                              
250   SetupParticle(track->GetParticleDefinition()    
251 }                                                 
252                                                   
253 //....oooOO0OOooo........oooOO0OOooo........oo    
254                                                   
255 G4double G4WentzelVIModel::ComputeTruePathLeng    
256                              const G4Track& tr    
257                              G4double& current    
258 {                                                 
259   G4double tlimit = currentMinimalStep;           
260   const G4DynamicParticle* dp = track.GetDynam    
261   const G4StepPoint* sp = track.GetStep()->Get    
262   G4StepStatus stepStatus = sp->GetStepStatus(    
263   singleScatteringMode = false;                   
264                                                   
265   //G4cout << "G4WentzelVIModel::ComputeTruePa    
266   //         << stepStatus << "  " << track.Ge    
267   //         << G4endl;                           
268                                                   
269   // initialisation for each step, lambda may     
270   preKinEnergy = dp->GetKineticEnergy();          
271   effKinEnergy = preKinEnergy;                    
272   DefineMaterial(track.GetMaterialCutsCouple()    
273   const G4double logPreKinEnergy = dp->GetLogK    
274   lambdaeff = GetTransportMeanFreePath(particl    
275   currentRange = GetRange(particle,preKinEnerg    
276   cosTetMaxNuc = wokvi->SetupKinematic(preKinE    
277                                                   
278   //G4cout << "lambdaeff= " << lambdaeff << "     
279   // << " tlimit= " << tlimit << " 1-cost= " <    
280                                                   
281   // extra check for abnormal situation           
282   // this check needed to run MSC with eIoni a    
283   if(tlimit > currentRange) { tlimit = current    
284                                                   
285   // stop here if small range particle            
286   if(tlimit < tlimitminfix) {                     
287     return ConvertTrueToGeom(tlimit, currentMi    
288   }                                               
289                                                   
290   // pre step                                     
291   G4double presafety = sp->GetSafety();           
292   // far from geometry boundary                   
293   if(currentRange < presafety) {                  
294     return ConvertTrueToGeom(tlimit, currentMi    
295   }                                               
296                                                   
297   // compute presafety again if presafety <= 0    
298   // i.e. when it is needed for optimization p    
299   if(stepStatus != fGeomBoundary && presafety     
300     presafety = ComputeSafety(sp->GetPosition(    
301     if(currentRange < presafety) {                
302       return ConvertTrueToGeom(tlimit, current    
303     }                                             
304   }                                               
305   /*                                              
306   G4cout << "e(MeV)= " << preKinEnergy/MeV        
307          << "  " << particle->GetParticleName(    
308          << " CurLimit(mm)= " << tlimit/mm <<"    
309          << " R(mm)= " <<currentRange/mm          
310          << " L0(mm^-1)= " << lambdaeff*mm        
311          << G4endl;                               
312   */                                              
313   // natural limit for high energy                
314   G4double rlimit = std::max(facrange*currentR    
315                              (1.0 - cosTetMaxN    
316                                                   
317   // low-energy e-                                
318   if(cosThetaMax > cosTetMaxNuc) {                
319     rlimit = std::min(rlimit, facsafety*presaf    
320   }                                               
321                                                   
322   // cut correction                               
323   G4double rcut = currentCouple->GetProduction    
324   //G4cout << "rcut= " << rcut << " rlimit= "     
325   // << presafety << " 1-cosThetaMax= " <<1-co    
326   //<< " 1-cosTetMaxNuc= " << 1-cosTetMaxNuc <    
327   if(rcut > rlimit) { rlimit = std::min(rlimit    
328                                                   
329   tlimit = std::min(tlimit, rlimit);              
330   tlimit = std::max(tlimit, tlimitminfix);        
331                                                   
332   // step limit in infinite media                 
333   tlimit = std::min(tlimit, 50*currentMaterial    
334                                                   
335   //compute geomlimit and force few steps with    
336   if (steppingAlgorithm == fUseDistanceToBound    
337       && stepStatus == fGeomBoundary) {           
338                                                   
339     G4double geomlimit = ComputeGeomLimit(trac    
340     tlimit = std::min(tlimit, geomlimit/facgeo    
341   }                                               
342   /*                                              
343   G4cout << particle->GetParticleName() << " e    
344          << " L0= " << lambdaeff << " R= " <<     
345          << " tlimit= " << tlimit                 
346            << " currentMinimalStep= " << curre    
347   */                                              
348   return ConvertTrueToGeom(tlimit, currentMini    
349 }                                                 
350                                                   
351 //....oooOO0OOooo........oooOO0OOooo........oo    
352                                                   
353 G4double G4WentzelVIModel::ComputeGeomPathLeng    
354 {                                                 
355   zPathLength = tPathLength = truelength;         
356                                                   
357   // small step use only single scattering        
358   cosThetaMin = 1.0;                              
359   ComputeTransportXSectionPerVolume(cosThetaMi    
360   //G4cout << "xtsec= " << xtsec << "  Nav= "     
361   //         << zPathLength*xtsec << G4endl;      
362   if(0.0 >= lambdaeff || G4int(zPathLength*xts    
363     singleScatteringMode = true;                  
364     lambdaeff = DBL_MAX;                          
365                                                   
366   } else {                                        
367     //G4cout << "ComputeGeomPathLength: tLengt    
368     //           << " Leff= " << lambdaeff <<     
369     // small step                                 
370     if(tPathLength < numlimit*lambdaeff) {        
371       G4double tau = tPathLength/lambdaeff;       
372       zPathLength *= (1.0 - 0.5*tau + tau*tau/    
373                                                   
374       // medium step                              
375     } else {                                      
376       G4double e1 = 0.0;                          
377       if(currentRange > tPathLength) {            
378         e1 = GetEnergy(particle,currentRange-t    
379       }                                           
380       effKinEnergy = 0.5*(e1 + preKinEnergy);     
381       cosTetMaxNuc = wokvi->SetupKinematic(eff    
382       lambdaeff = GetTransportMeanFreePath(par    
383       //G4cout << " tLength= "<< tPathLength<<    
384       zPathLength = lambdaeff;                    
385       if(tPathLength*numlimit < lambdaeff) {      
386         zPathLength *= (1.0 - G4Exp(-tPathLeng    
387       }                                           
388     }                                             
389   }                                               
390   //G4cout << "Comp.geom: zLength= "<<zPathLen    
391   //         << tPathLength<< " Leff= " << lam    
392   return zPathLength;                             
393 }                                                 
394                                                   
395 //....oooOO0OOooo........oooOO0OOooo........oo    
396                                                   
397 G4double G4WentzelVIModel::ComputeTrueStepLeng    
398 {                                                 
399   // initialisation of single scattering x-sec    
400   /*                                              
401   G4cout << "ComputeTrueStepLength: Step= " <<    
402          << "  geomL= " << zPathLength            
403          << "  Lambda= " <<  lambdaeff            
404            << " 1-cosThetaMaxNuc= " << 1 - cos    
405   */                                              
406   if(singleScatteringMode) {                      
407     zPathLength = tPathLength = geomStepLength    
408                                                   
409   } else {                                        
410                                                   
411     // step defined by transportation             
412     // change both geom and true step lengths     
413     if(geomStepLength < zPathLength) {            
414                                                   
415       // single scattering                        
416       if(G4int(geomStepLength*xtsec) < minNCol    
417         zPathLength = tPathLength = geomStepLe    
418         lambdaeff = DBL_MAX;                      
419         singleScatteringMode = true;              
420                                                   
421         // multiple scattering                    
422       } else {                                    
423         // small step                             
424         if(geomStepLength < numlimit*lambdaeff    
425           G4double tau = geomStepLength/lambda    
426           tPathLength = geomStepLength*(1.0 +     
427                                                   
428           // energy correction for a big step     
429         } else {                                  
430           tPathLength *= geomStepLength/zPathL    
431           G4double e1 = 0.0;                      
432           if(currentRange > tPathLength) {        
433             e1 = GetEnergy(particle,currentRan    
434           }                                       
435           effKinEnergy = 0.5*(e1 + preKinEnerg    
436           cosTetMaxNuc = wokvi->SetupKinematic    
437           lambdaeff = GetTransportMeanFreePath    
438           G4double tau = geomStepLength/lambda    
439                                                   
440           if(tau < 0.999999) { tPathLength = -    
441           else               { tPathLength = c    
442         }                                         
443         zPathLength = geomStepLength;             
444       }                                           
445     }                                             
446   }                                               
447   // check of step length                         
448   // define threshold angle between single and    
449   if(!singleScatteringMode) {                     
450     cosThetaMin -= ssFactor*tPathLength/lambda    
451     xtsec = 0.0;                                  
452                                                   
453     // recompute transport cross section - do     
454     // anymore - cannot be applied for big ste    
455     if(cosThetaMin > cosTetMaxNuc) {              
456       // new computation                          
457       G4double cross = ComputeTransportXSectio    
458       //G4cout << "%%%% cross= " << cross << "    
459       //           << " 1-cosTMin= " << 1.0 -     
460       if(cross <= 0.0) {                          
461         singleScatteringMode = true;              
462         tPathLength = zPathLength;                
463         lambdaeff = DBL_MAX;                      
464         cosThetaMin = 1.0;                        
465       } else if(xtsec > 0.0) {                    
466                                                   
467         lambdaeff = 1./cross;                     
468         G4double tau = zPathLength*cross;         
469         if(tau < numlimit) {                      
470           tPathLength = zPathLength*(1.0 + 0.5    
471         } else if(tau < 0.999999) {               
472           tPathLength = -lambdaeff*G4Log(1.0 -    
473         } else {                                  
474           tPathLength = currentRange;             
475         }                                         
476       }                                           
477     }                                             
478   }                                               
479   tPathLength = std::min(tPathLength, currentR    
480   /*                                              
481   G4cout <<"Comp.true: zLength= "<<zPathLength    
482          <<" Leff(mm)= "<<lambdaeff/mm<<" sig0    
483   G4cout << particle->GetParticleName() << " 1    
484          << " 1-cosTetMaxNuc= " << 1-cosTetMax    
485          << " e(MeV)= " << preKinEnergy/MeV <<    
486          << " SSmode= " << singleScatteringMod    
487   */                                              
488   return tPathLength;                             
489 }                                                 
490                                                   
491 //....oooOO0OOooo........oooOO0OOooo........oo    
492                                                   
493 G4ThreeVector&                                    
494 G4WentzelVIModel::SampleScattering(const G4Thr    
495                                    G4double /*    
496 {                                                 
497   fDisplacement.set(0.0,0.0,0.0);                 
498   //G4cout << "!##! G4WentzelVIModel::SampleSc    
499   //         << particle->GetParticleName() <<    
500                                                   
501   // ignore scattering for zero step length an    
502   if(preKinEnergy < lowEnergyLimit || tPathLen    
503     { return fDisplacement; }                     
504                                                   
505   G4double invlambda = 0.0;                       
506   if(lambdaeff < DBL_MAX) { invlambda = 0.5/la    
507                                                   
508   // use average kinetic energy over the step     
509   G4double cut = (*currentCuts)[currentMateria    
510   if(fixedCut > 0.0) { cut = fixedCut; }          
511   /*                                              
512   G4cout <<"SampleScat: E0(MeV)= "<< preKinEne    
513            << " Leff= " << lambdaeff <<" sig0(    
514           << " xmsc= " <<  tPathLength*invlamb    
515          << " safety= " << safety << G4endl;      
516   */                                              
517   // step limit due msc                           
518   G4int nMscSteps = 1;                            
519   G4double x0 = tPathLength;                      
520   G4double z0 = x0*invlambda;                     
521   G4double prob2 = 0.0;                           
522                                                   
523   CLHEP::HepRandomEngine* rndmEngine = G4Rando    
524                                                   
525   // large scattering angle case - two step ap    
526   if(!singleScatteringMode) {                     
527     if(useSecondMoment) {                         
528       G4double z1 = invlambda*invlambda;          
529       G4double z2 = SecondMoment(particle, cur    
530       prob2 = (z2 - z1)/(1.5*z1 - z2);            
531     }                                             
532     // numerical limitation on step length for    
533     if (z0 > 0.05 && z0 < 30.) {                  
534       x0 *= 0.5;                                  
535       z0 *= 0.5;                                  
536       nMscSteps = 2;                              
537       G4double zzz = G4Exp(-1.0/z0);              
538       z0 += zzz;                                  
539       prob2 *= (1.0 + zzz);                       
540     }                                             
541     prob2 /= (1.0 + prob2);                       
542   }                                               
543                                                   
544   // step limit due to single scattering          
545   G4double x1 = 2*tPathLength;                    
546   if(0.0 < xtsec) { x1 = -G4Log(rndmEngine->fl    
547                                                   
548   // no scattering case                           
549   if(singleScatteringMode && x1 > tPathLength)    
550     { return fDisplacement; }                     
551                                                   
552   const G4ElementVector* theElementVector =       
553     currentMaterial->GetElementVector();          
554   std::size_t nelm = currentMaterial->GetNumbe    
555                                                   
556   // geometry                                     
557   G4double sint, cost, phi;                       
558   G4ThreeVector temp(0.0,0.0,1.0);                
559                                                   
560   // current position and direction relative t    
561   // because of magnetic field geometry is com    
562   // end point of the step                        
563   G4ThreeVector dir(0.0,0.0,1.0);                 
564   fDisplacement.set(0.0,0.0,-zPathLength);        
565                                                   
566   G4double mscfac = zPathLength/tPathLength;      
567                                                   
568   // start a loop                                 
569   G4double x2 = x0;                               
570   G4double step, z;                               
571   G4bool singleScat;                              
572   /*                                              
573     G4cout << "Start of the loop x1(mm)= " <<     
574     << " 1-cost1= " << 1 - cosThetaMin << " SS    
575            << " xtsec= " << xtsec << " Nst= "     
576   */                                              
577   do {                                            
578                                                   
579     //G4cout << "# x1(mm)= "<< x1<< " x2(mm)=     
580     // single scattering case                     
581     if(singleScatteringMode && x1 > x2) {         
582       fDisplacement += x2*mscfac*dir;             
583       break;                                      
584     }                                             
585                                                   
586     // what is next single of multiple?           
587     if(x1 <= x2) {                                
588       step = x1;                                  
589       singleScat = true;                          
590     } else {                                      
591       step = x2;                                  
592       singleScat = false;                         
593     }                                             
594                                                   
595     //G4cout << "# step(mm)= "<< step<< "  sin    
596                                                   
597     // new position                               
598     fDisplacement += step*mscfac*dir;             
599                                                   
600     if(singleScat) {                              
601                                                   
602       // select element                           
603       std::size_t i = 0;                          
604       if(nelm > 1) {                              
605         G4double qsec = rndmEngine->flat()*xts    
606         for (; i<nelm; ++i) { if(xsecn[i] >= q    
607       }                                           
608       G4double cosTetM =                          
609         wokvi->SetupTarget((*theElementVector)    
610       //G4cout << "!!! " << cosThetaMin << "      
611       //     << prob[i] << G4endl;                
612       temp = wokvi->SampleSingleScattering(cos    
613                                                   
614       // direction is changed                     
615       temp.rotateUz(dir);                         
616       dir = temp;                                 
617       //G4cout << dir << G4endl;                  
618                                                   
619       // new proposed step length                 
620       x2 -= step;                                 
621       x1  = -G4Log(rndmEngine->flat())/xtsec;     
622                                                   
623     // multiple scattering                        
624     } else {                                      
625       --nMscSteps;                                
626       x1 -= step;                                 
627       x2  = x0;                                   
628                                                   
629       // sample z in interval 0 - 1               
630       G4bool isFirst = true;                      
631       if(prob2 > 0.0 && rndmEngine->flat() < p    
632       do {                                        
633         if(isFirst) { z = -G4Log(rndmEngine->f    
634         else        { z = G4RandGamma::shoot(r    
635         z *= z0;                                  
636         // Loop checking, 03-Aug-2015, Vladimi    
637       } while(z > 1.0);                           
638                                                   
639       cost = 1.0 - 2.0*z/*factCM*/;               
640       if(cost > 1.0)       { cost = 1.0; }        
641       else if(cost < -1.0) { cost =-1.0; }        
642       sint = sqrt((1.0 - cost)*(1.0 + cost));     
643       phi  = twopi*rndmEngine->flat();            
644       G4double vx1 = sint*std::cos(phi);          
645       G4double vy1 = sint*std::sin(phi);          
646                                                   
647       // lateral displacement                     
648       if (latDisplasment) {                       
649         G4double rms = z0 > 0.0 ? invsqrt12*st    
650         G4double r  = x0*mscfac;                  
651         G4double dx = r*(0.5*vx1 + rms*G4RandG    
652         G4double dy = r*(0.5*vy1 + rms*G4RandG    
653         G4double d  = r*r - dx*dx - dy*dy;        
654                                                   
655         // change position                        
656         if(d >= 0.0)  {                           
657           temp.set(dx, dy, std::sqrt(d) - r);     
658           temp.rotateUz(dir);                     
659           fDisplacement += temp;                  
660         }                                         
661       }                                           
662       // change direction                         
663       temp.set(vx1,vy1,cost);                     
664       temp.rotateUz(dir);                         
665       dir = temp;                                 
666     }                                             
667     // Loop checking, 03-Aug-2015, Vladimir Iv    
668   } while (0 < nMscSteps);                        
669                                                   
670   dir.rotateUz(oldDirection);                     
671                                                   
672   //G4cout<<"G4WentzelVIModel sampling is done    
673   // end of sampling -------------------------    
674                                                   
675   fParticleChange->ProposeMomentumDirection(di    
676                                                   
677   // lateral displacement                         
678   fDisplacement.rotateUz(oldDirection);           
679                                                   
680   /*                                              
681          G4cout << " r(mm)= " << fDisplacement    
682                 << " safety= " << safety          
683                 << " trueStep(mm)= " << tPathL    
684                 << " geomStep(mm)= " << zPathL    
685                 << " x= " << fDisplacement.x()    
686                 << " y= " << fDisplacement.y()    
687                 << " z= " << fDisplacement.z()    
688                 << G4endl;                        
689   */                                              
690                                                   
691   //G4cout<< "G4WentzelVIModel::SampleScatteri    
692   return fDisplacement;                           
693 }                                                 
694                                                   
695 //....oooOO0OOooo........oooOO0OOooo........oo    
696                                                   
697 G4double G4WentzelVIModel::ComputeTransportXSe    
698 {                                                 
699   // prepare recomputation of x-sections          
700   const G4ElementVector* theElementVector = cu    
701   const G4double* theAtomNumDensityVector =       
702     currentMaterial->GetVecNbOfAtomsPerVolume(    
703   G4int nelm = (G4int)currentMaterial->GetNumb    
704   if(nelm > nelments) {                           
705     nelments = nelm;                              
706     xsecn.resize(nelm);                           
707     prob.resize(nelm);                            
708   }                                               
709                                                   
710   // check consistency                            
711   xtsec = 0.0;                                    
712   if(cosTetMaxNuc >= cosTheta) { return 0.0; }    
713                                                   
714   G4double cut = (*currentCuts)[currentMateria    
715   if(fixedCut > 0.0) { cut = fixedCut; }          
716                                                   
717   // loop over elements                           
718   G4double xs = 0.0;                              
719   for (G4int i=0; i<nelm; ++i) {                  
720     G4double costm =                              
721       wokvi->SetupTarget((*theElementVector)[i    
722     G4double density = theAtomNumDensityVector    
723                                                   
724     G4double esec = 0.0;                          
725     if(costm < cosTheta) {                        
726                                                   
727       // recompute the transport x-section        
728       if(1.0 > cosTheta) {                        
729         xs += density*wokvi->ComputeTransportC    
730       }                                           
731       // recompute the total x-section            
732       G4double nucsec = wokvi->ComputeNuclearC    
733       esec = wokvi->ComputeElectronCrossSectio    
734       nucsec += esec;                             
735       if(nucsec > 0.0) { esec /= nucsec; }        
736       xtsec += nucsec*density;                    
737     }                                             
738     xsecn[i] = xtsec;                             
739     prob[i]  = esec;                              
740     //G4cout << i << "  xs= " << xs << " xtsec    
741     //       << " 1-cosTheta= " << 1-cosTheta     
742     //           << " 1-cosTetMaxNuc2= " <<1-c    
743   }                                               
744                                                   
745   //G4cout << "ComputeXS result:  xsec(1/mm)=     
746   //         << " txsec(1/mm)= " << xtsec <<G4    
747   return xs;                                      
748 }                                                 
749                                                   
750 //....oooOO0OOooo........oooOO0OOooo........oo    
751                                                   
752 G4double G4WentzelVIModel::ComputeSecondMoment    
753                  G4double kinEnergy)              
754 {                                                 
755   G4double xs = 0.0;                              
756                                                   
757   SetupParticle(p);                               
758   cosTetMaxNuc = wokvi->SetupKinematic(kinEner    
759                                                   
760   if(cosTetMaxNuc >= 1.0) { return xs; }          
761                                                   
762   const G4ElementVector* theElementVector = cu    
763   const G4double* theAtomNumDensityVector =       
764     currentMaterial->GetVecNbOfAtomsPerVolume(    
765   std::size_t nelm = currentMaterial->GetNumbe    
766                                                   
767   G4double cut = (*currentCuts)[currentMateria    
768   if(fixedCut > 0.0) { cut = fixedCut; }          
769                                                   
770   // loop over elements                           
771   for (std::size_t i=0; i<nelm; ++i) {            
772     G4double costm =                              
773       wokvi->SetupTarget((*theElementVector)[i    
774     xs += theAtomNumDensityVector[i]              
775       *wokvi->ComputeSecondTransportMoment(cos    
776   }                                               
777   return xs;                                      
778 }                                                 
779                                                   
780 //....oooOO0OOooo........oooOO0OOooo........oo    
781                                                   
782 void G4WentzelVIModel::SetSingleScatteringFact    
783 {                                                 
784   if(val > 0.05) {                                
785     ssFactor = val;                               
786     invssFactor = 1.0/(val - 0.05);               
787   }                                               
788 }                                                 
789                                                   
790 //....oooOO0OOooo........oooOO0OOooo........oo    
791