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Geant4/processes/electromagnetic/lowenergy/src/G4eIonisationSpectrum.cc

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Differences between /processes/electromagnetic/lowenergy/src/G4eIonisationSpectrum.cc (Version 11.3.0) and /processes/electromagnetic/lowenergy/src/G4eIonisationSpectrum.cc (Version 9.0)


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 25 //                                                 25 //
                                                   >>  26 // $Id: G4eIonisationSpectrum.cc,v 1.25 2006/06/29 19:42:04 gunter Exp $
                                                   >>  27 // GEANT4 tag $Name: geant4-09-00 $
 26 //                                                 28 //
 27 // -------------------------------------------     29 // -------------------------------------------------------------------
 28 //                                                 30 //
 29 // GEANT4 Class file                               31 // GEANT4 Class file
 30 //                                                 32 //
 31 //                                                 33 //
 32 // File name:     G4eIonisationSpectrum            34 // File name:     G4eIonisationSpectrum
 33 //                                                 35 //
 34 // Author:        V.Ivanchenko (Vladimir.Ivanc     36 // Author:        V.Ivanchenko (Vladimir.Ivanchenko@cern.ch)
 35 //                                             <<  37 // 
 36 // Creation date: 29 September 2001                38 // Creation date: 29 September 2001
 37 //                                                 39 //
 38 // Modifications:                              <<  40 // Modifications: 
 39 // 10.10.2001 MGP           Revision to improv <<  41 // 10.10.2001 MGP           Revision to improve code quality and 
 40 //                          consistency with d     42 //                          consistency with design
 41 // 02.11.2001 VI            Optimize sampling  <<  43 // 02.11.2001 VI            Optimize sampling of energy 
 42 // 29.11.2001 VI            New parametrisatio <<  44 // 29.11.2001 VI            New parametrisation 
 43 // 19.04.2002 VI            Add protection in  <<  45 // 19.04.2002 VI            Add protection in case of energy below binding  
 44 // 30.05.2002 VI            Update to 24-param     46 // 30.05.2002 VI            Update to 24-parameters data
 45 // 11.07.2002 VI            Fix in integration     47 // 11.07.2002 VI            Fix in integration over spectrum
 46 // 23.03.2009 LP            Added protection a << 
 47 //                          faulty database fi << 
 48 //                                                 48 //
 49 // -------------------------------------------     49 // -------------------------------------------------------------------
 50 //                                                 50 //
 51                                                    51 
 52 #include "G4eIonisationSpectrum.hh"                52 #include "G4eIonisationSpectrum.hh"
 53 #include "G4AtomicTransitionManager.hh"            53 #include "G4AtomicTransitionManager.hh"
 54 #include "G4AtomicShell.hh"                        54 #include "G4AtomicShell.hh"
 55 #include "G4DataVector.hh"                         55 #include "G4DataVector.hh"
 56 #include "Randomize.hh"                            56 #include "Randomize.hh"
 57 #include "G4PhysicalConstants.hh"              <<  57 
 58 #include "G4SystemOfUnits.hh"                  << 
 59 #include "G4Exp.hh"                            << 
 60                                                    58 
 61 G4eIonisationSpectrum::G4eIonisationSpectrum()     59 G4eIonisationSpectrum::G4eIonisationSpectrum():G4VEnergySpectrum(),
 62   lowestE(0.1*eV),                                 60   lowestE(0.1*eV),
 63   factor(1.3),                                     61   factor(1.3),
 64   iMax(24),                                        62   iMax(24),
 65   verbose(0)                                       63   verbose(0)
 66 {                                                  64 {
 67   theParam = new G4eIonisationParameters();        65   theParam = new G4eIonisationParameters();
 68 }                                                  66 }
 69                                                    67 
 70                                                    68 
 71 G4eIonisationSpectrum::~G4eIonisationSpectrum( <<  69 G4eIonisationSpectrum::~G4eIonisationSpectrum() 
 72 {                                                  70 {
 73   delete theParam;                                 71   delete theParam;
 74 }                                                  72 }
 75                                                    73 
 76                                                    74 
 77 G4double G4eIonisationSpectrum::Probability(G4 <<  75 G4double G4eIonisationSpectrum::Probability(G4int Z, 
 78                     G4double tMin,             <<  76                     G4double tMin, 
 79               G4double tMax,                   <<  77               G4double tMax, 
 80               G4double e,                          78               G4double e,
 81               G4int shell,                         79               G4int shell,
 82               const G4ParticleDefinition* ) co     80               const G4ParticleDefinition* ) const
 83 {                                                  81 {
 84   // Please comment what Probability does and  <<  82   // Please comment what Probability does and what are the three 
 85   // functions mentioned below                     83   // functions mentioned below
 86   // Describe the algorithms used                  84   // Describe the algorithms used
 87                                                    85 
 88   G4double eMax = MaxEnergyOfSecondaries(e);       86   G4double eMax = MaxEnergyOfSecondaries(e);
 89   G4double t0 = std::max(tMin, lowestE);           87   G4double t0 = std::max(tMin, lowestE);
 90   G4double tm = std::min(tMax, eMax);              88   G4double tm = std::min(tMax, eMax);
 91   if(t0 >= tm) return 0.0;                         89   if(t0 >= tm) return 0.0;
 92                                                    90 
 93   G4double bindingEnergy = (G4AtomicTransition     91   G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
 94                            Shell(Z, shell)->Bi     92                            Shell(Z, shell)->BindingEnergy();
 95                                                    93 
 96   if(e <= bindingEnergy) return 0.0;               94   if(e <= bindingEnergy) return 0.0;
 97                                                    95 
 98   G4double energy = e + bindingEnergy;             96   G4double energy = e + bindingEnergy;
 99                                                    97 
100   G4double x1 = std::min(0.5,(t0 + bindingEner     98   G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
101   G4double x2 = std::min(0.5,(tm + bindingEner     99   G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
102                                                   100 
103   if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.    101   if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) {
104     G4cout << "G4eIonisationSpectrum::Probabil    102     G4cout << "G4eIonisationSpectrum::Probability: Z= " << Z
105            << "; shell= " << shell                103            << "; shell= " << shell
106            << "; E(keV)= " << e/keV               104            << "; E(keV)= " << e/keV
107            << "; Eb(keV)= " << bindingEnergy/k    105            << "; Eb(keV)= " << bindingEnergy/keV
108            << "; x1= " << x1                   << 106            << "; x1= " << x1 
109            << "; x2= " << x2                   << 107            << "; x2= " << x2 
110            << G4endl;                             108            << G4endl;
111                                                << 109      
112   }                                               110   }
113                                                   111 
114   G4DataVector p;                                 112   G4DataVector p;
115                                                   113 
116   // Access parameters                            114   // Access parameters
117   for (G4int i=0; i<iMax; i++)                 << 115   for (G4int i=0; i<iMax; i++) 
118   {                                               116   {
119     G4double x = theParam->Parameter(Z, shell,    117     G4double x = theParam->Parameter(Z, shell, i, e);
120     if(i<4) x /= energy;                       << 118     if(i<4) x /= energy; 
121     p.push_back(x);                            << 119     p.push_back(x); 
122   }                                               120   }
123                                                   121 
124   if(p[3] > 0.5) p[3] = 0.5;                      122   if(p[3] > 0.5) p[3] = 0.5;
125                                                << 123   
126   G4double gLocal = energy/electron_mass_c2 +  << 124   G4double g = energy/electron_mass_c2 + 1.;
127   p.push_back((2.0*gLocal - 1.0)/(gLocal*gLoca << 125   p.push_back((2.0*g - 1.0)/(g*g));
128                                                << 126   
129   //Add protection against division by zero: a << 127   p[iMax-1] = Function(p[3], p);
130   //parameter p[3] appears in the denominator. << 
131   if (p[3] > 0)                                << 
132     p[iMax-1] = Function(p[3], p);             << 
133   else                                         << 
134     {                                          << 
135       G4cout << "WARNING: G4eIonisationSpectru << 
136        << "parameter p[3] <= 0. G4LEDATA dabat << 
137        << Z << ". Please check and/or update i << 
138     }                                          << 
139                                                   128 
140   if(e >= 1. && e <= 0. && Z == 4) p.push_back    129   if(e >= 1. && e <= 0. && Z == 4) p.push_back(0.0);
141                                                   130 
142                                                << 131   
143   G4double val = IntSpectrum(x1, x2, p);          132   G4double val = IntSpectrum(x1, x2, p);
144   G4double x0  = (lowestE + bindingEnergy)/ene    133   G4double x0  = (lowestE + bindingEnergy)/energy;
145   G4double nor = IntSpectrum(x0, 0.5, p);         134   G4double nor = IntSpectrum(x0, 0.5, p);
146                                                << 135   
147   if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.    136   if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) {
148     G4cout << "tcut= " << tMin                 << 137     G4cout << "tcut= " << tMin 
149            << "; tMax= " << tMax               << 138            << "; tMax= " << tMax 
150            << "; x0= " << x0                   << 139            << "; x0= " << x0 
151            << "; x1= " << x1                   << 140            << "; x1= " << x1 
152            << "; x2= " << x2                   << 141            << "; x2= " << x2 
153            << "; val= " << val                 << 142            << "; val= " << val 
154            << "; nor= " << nor                 << 143            << "; nor= " << nor 
155            << "; sum= " << p[0]                << 144            << "; sum= " << p[0] 
156            << "; a= " << p[1]                  << 145            << "; a= " << p[1] 
157            << "; b= " << p[2]                  << 146            << "; b= " << p[2] 
158            << "; c= " << p[3]                  << 147            << "; c= " << p[3] 
159            << G4endl;                             148            << G4endl;
160     if(shell == 1) G4cout << "============" << << 149     if(shell == 1) G4cout << "============" << G4endl; 
161   }                                               150   }
162                                                   151 
163   p.clear();                                      152   p.clear();
164                                                   153 
165   if(nor > 0.0) val /= nor;                       154   if(nor > 0.0) val /= nor;
166   else          val  = 0.0;                       155   else          val  = 0.0;
167                                                   156 
168   return val;                                  << 157   return val; 
169 }                                                 158 }
170                                                   159 
171                                                   160 
172 G4double G4eIonisationSpectrum::AverageEnergy(    161 G4double G4eIonisationSpectrum::AverageEnergy(G4int Z,
173                       G4double tMin,           << 162                       G4double tMin, 
174                 G4double tMax,                 << 163                 G4double tMax, 
175                 G4double e,                       164                 G4double e,
176                 G4int shell,                      165                 G4int shell,
177                 const G4ParticleDefinition* )     166                 const G4ParticleDefinition* ) const
178 {                                                 167 {
179   // Please comment what AverageEnergy does an << 168   // Please comment what AverageEnergy does and what are the three 
180   // functions mentioned below                    169   // functions mentioned below
181   // Describe the algorithms used                 170   // Describe the algorithms used
182                                                   171 
183   G4double eMax = MaxEnergyOfSecondaries(e);      172   G4double eMax = MaxEnergyOfSecondaries(e);
184   G4double t0 = std::max(tMin, lowestE);          173   G4double t0 = std::max(tMin, lowestE);
185   G4double tm = std::min(tMax, eMax);             174   G4double tm = std::min(tMax, eMax);
186   if(t0 >= tm) return 0.0;                        175   if(t0 >= tm) return 0.0;
187                                                   176 
188   G4double bindingEnergy = (G4AtomicTransition    177   G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
189                            Shell(Z, shell)->Bi    178                            Shell(Z, shell)->BindingEnergy();
190                                                   179 
191   if(e <= bindingEnergy) return 0.0;              180   if(e <= bindingEnergy) return 0.0;
192                                                   181 
193   G4double energy = e + bindingEnergy;            182   G4double energy = e + bindingEnergy;
194                                                   183 
195   G4double x1 = std::min(0.5,(t0 + bindingEner    184   G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
196   G4double x2 = std::min(0.5,(tm + bindingEner    185   G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
197                                                   186 
198   if(verbose > 1) {                               187   if(verbose > 1) {
199     G4cout << "G4eIonisationSpectrum::AverageE    188     G4cout << "G4eIonisationSpectrum::AverageEnergy: Z= " << Z
200            << "; shell= " << shell                189            << "; shell= " << shell
201            << "; E(keV)= " << e/keV               190            << "; E(keV)= " << e/keV
202            << "; bindingE(keV)= " << bindingEn    191            << "; bindingE(keV)= " << bindingEnergy/keV
203            << "; x1= " << x1                   << 192            << "; x1= " << x1 
204            << "; x2= " << x2                   << 193            << "; x2= " << x2 
205            << G4endl;                             194            << G4endl;
206   }                                               195   }
207                                                   196 
208   G4DataVector p;                                 197   G4DataVector p;
209                                                   198 
210   // Access parameters                            199   // Access parameters
211   for (G4int i=0; i<iMax; i++)                 << 200   for (G4int i=0; i<iMax; i++) 
212   {                                               201   {
213     G4double x = theParam->Parameter(Z, shell,    202     G4double x = theParam->Parameter(Z, shell, i, e);
214     if(i<4) x /= energy;                       << 203     if(i<4) x /= energy; 
215     p.push_back(x);                               204     p.push_back(x);
216   }                                               205   }
217                                                   206 
218   if(p[3] > 0.5) p[3] = 0.5;                      207   if(p[3] > 0.5) p[3] = 0.5;
219                                                   208 
220   G4double gLocal2 = energy/electron_mass_c2 + << 209   G4double g = energy/electron_mass_c2 + 1.;
221   p.push_back((2.0*gLocal2 - 1.0)/(gLocal2*gLo << 210   p.push_back((2.0*g - 1.0)/(g*g));
222                                                << 
223                                                << 
224   //Add protection against division by zero: a << 
225   //parameter p[3] appears in the denominator. << 
226   if (p[3] > 0)                                << 
227     p[iMax-1] = Function(p[3], p);             << 
228   else                                         << 
229     {                                          << 
230       G4cout << "WARNING: G4eIonisationSpectru << 
231        << "parameter p[3] <= 0. G4LEDATA dabat << 
232        << Z << ". Please check and/or update i << 
233     }                                          << 
234                                                   211 
                                                   >> 212   p[iMax-1] = Function(p[3], p);
                                                   >> 213     
235   G4double val = AverageValue(x1, x2, p);         214   G4double val = AverageValue(x1, x2, p);
236   G4double x0  = (lowestE + bindingEnergy)/ene    215   G4double x0  = (lowestE + bindingEnergy)/energy;
237   G4double nor = IntSpectrum(x0, 0.5, p);         216   G4double nor = IntSpectrum(x0, 0.5, p);
238   val *= energy;                                  217   val *= energy;
239                                                   218 
240   if(verbose > 1) {                               219   if(verbose > 1) {
241     G4cout << "tcut(MeV)= " << tMin/MeV        << 220     G4cout << "tcut(MeV)= " << tMin/MeV 
242            << "; tMax(MeV)= " << tMax/MeV      << 221            << "; tMax(MeV)= " << tMax/MeV 
243            << "; x0= " << x0                   << 222            << "; x0= " << x0 
244            << "; x1= " << x1                   << 223            << "; x1= " << x1 
245            << "; x2= " << x2                   << 224            << "; x2= " << x2 
246            << "; val= " << val                 << 225            << "; val= " << val 
247            << "; nor= " << nor                 << 226            << "; nor= " << nor 
248            << "; sum= " << p[0]                << 227            << "; sum= " << p[0] 
249            << "; a= " << p[1]                  << 228            << "; a= " << p[1] 
250            << "; b= " << p[2]                  << 229            << "; b= " << p[2] 
251            << "; c= " << p[3]                  << 230            << "; c= " << p[3] 
252            << G4endl;                             231            << G4endl;
253   }                                               232   }
254                                                   233 
255   p.clear();                                      234   p.clear();
256                                                   235 
257   if(nor > 0.0) val /= nor;                       236   if(nor > 0.0) val /= nor;
258   else          val  = 0.0;                       237   else          val  = 0.0;
259                                                   238 
260   return val;                                  << 239   return val; 
261 }                                                 240 }
262                                                   241 
263                                                   242 
264 G4double G4eIonisationSpectrum::SampleEnergy(G    243 G4double G4eIonisationSpectrum::SampleEnergy(G4int Z,
265                G4double tMin,                  << 244                G4double tMin, 
266                G4double tMax,                  << 245                G4double tMax, 
267                      G4double e,                  246                      G4double e,
268                      G4int shell,                 247                      G4int shell,
269                const G4ParticleDefinition* ) c    248                const G4ParticleDefinition* ) const
270 {                                                 249 {
271   // Please comment what SampleEnergy does        250   // Please comment what SampleEnergy does
272   G4double tDelta = 0.0;                          251   G4double tDelta = 0.0;
273   G4double t0 = std::max(tMin, lowestE);          252   G4double t0 = std::max(tMin, lowestE);
274   G4double tm = std::min(tMax, MaxEnergyOfSeco    253   G4double tm = std::min(tMax, MaxEnergyOfSecondaries(e));
275   if(t0 > tm) return tDelta;                      254   if(t0 > tm) return tDelta;
276                                                   255 
277   G4double bindingEnergy = (G4AtomicTransition    256   G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
278                            Shell(Z, shell)->Bi    257                            Shell(Z, shell)->BindingEnergy();
279                                                   258 
280   if(e <= bindingEnergy) return 0.0;              259   if(e <= bindingEnergy) return 0.0;
281                                                   260 
282   G4double energy = e + bindingEnergy;            261   G4double energy = e + bindingEnergy;
283                                                   262 
284   G4double x1 = std::min(0.5,(t0 + bindingEner    263   G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
285   G4double x2 = std::min(0.5,(tm + bindingEner    264   G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
286   if(x1 >= x2) return tDelta;                     265   if(x1 >= x2) return tDelta;
287                                                   266 
288   if(verbose > 1) {                               267   if(verbose > 1) {
289     G4cout << "G4eIonisationSpectrum::SampleEn    268     G4cout << "G4eIonisationSpectrum::SampleEnergy: Z= " << Z
290            << "; shell= " << shell                269            << "; shell= " << shell
291            << "; E(keV)= " << e/keV               270            << "; E(keV)= " << e/keV
292            << G4endl;                             271            << G4endl;
293   }                                               272   }
294                                                   273 
295   // Access parameters                            274   // Access parameters
296   G4DataVector p;                                 275   G4DataVector p;
297                                                   276 
298   // Access parameters                            277   // Access parameters
299   for (G4int i=0; i<iMax; i++)                 << 278   for (G4int i=0; i<iMax; i++) 
300   {                                               279   {
301     G4double x = theParam->Parameter(Z, shell,    280     G4double x = theParam->Parameter(Z, shell, i, e);
302     if(i<4) x /= energy;                       << 281     if(i<4) x /= energy; 
303     p.push_back(x);                               282     p.push_back(x);
304   }                                               283   }
305                                                   284 
306   if(p[3] > 0.5) p[3] = 0.5;                      285   if(p[3] > 0.5) p[3] = 0.5;
307                                                   286 
308   G4double gLocal3 = energy/electron_mass_c2 + << 287   G4double g = energy/electron_mass_c2 + 1.;
309   p.push_back((2.0*gLocal3 - 1.0)/(gLocal3*gLo << 288   p.push_back((2.0*g - 1.0)/(g*g));
310                                                   289 
311                                                << 290   p[iMax-1] = Function(p[3], p);
312   //Add protection against division by zero: a << 
313   //parameter p[3] appears in the denominator. << 
314   if (p[3] > 0)                                << 
315     p[iMax-1] = Function(p[3], p);             << 
316   else                                         << 
317     {                                          << 
318       G4cout << "WARNING: G4eIonisationSpectru << 
319        << "parameter p[3] <= 0. G4LEDATA dabat << 
320        << Z << ". Please check and/or update i << 
321     }                                          << 
322                                                   291 
323   G4double aria1 = 0.0;                           292   G4double aria1 = 0.0;
324   G4double a1 = std::max(x1,p[1]);                293   G4double a1 = std::max(x1,p[1]);
325   G4double a2 = std::min(x2,p[3]);                294   G4double a2 = std::min(x2,p[3]);
326   if(a1 < a2) aria1 = IntSpectrum(a1, a2, p);     295   if(a1 < a2) aria1 = IntSpectrum(a1, a2, p);
327   G4double aria2 = 0.0;                           296   G4double aria2 = 0.0;
328   G4double a3 = std::max(x1,p[3]);                297   G4double a3 = std::max(x1,p[3]);
329   G4double a4 = x2;                               298   G4double a4 = x2;
330   if(a3 < a4) aria2 = IntSpectrum(a3, a4, p);     299   if(a3 < a4) aria2 = IntSpectrum(a3, a4, p);
331                                                   300 
332   G4double aria = (aria1 + aria2)*G4UniformRan    301   G4double aria = (aria1 + aria2)*G4UniformRand();
333   G4double amaj, fun, q, x, z1, z2, dx, dx1;      302   G4double amaj, fun, q, x, z1, z2, dx, dx1;
334                                                   303 
335   //======= First aria to sample =====            304   //======= First aria to sample =====
336                                                   305 
337   if(aria <= aria1) {                          << 306   if(aria <= aria1) { 
338                                                   307 
339     amaj = p[4];                                  308     amaj = p[4];
340     for (G4int j=5; j<iMax; j++) {                309     for (G4int j=5; j<iMax; j++) {
341       if(p[j] > amaj) amaj = p[j];                310       if(p[j] > amaj) amaj = p[j];
342     }                                             311     }
343                                                   312 
344     a1 = 1./a1;                                   313     a1 = 1./a1;
345     a2 = 1./a2;                                   314     a2 = 1./a2;
346                                                   315 
347     G4int i;                                      316     G4int i;
348     do {                                          317     do {
349                                                   318 
350       x = 1./(a2 + G4UniformRand()*(a1 - a2));    319       x = 1./(a2 + G4UniformRand()*(a1 - a2));
351       z1 = p[1];                                  320       z1 = p[1];
352       z2 = p[3];                                  321       z2 = p[3];
353       dx = (p[2] - p[1]) / 3.0;                   322       dx = (p[2] - p[1]) / 3.0;
354       dx1= G4Exp(std::log(p[3]/p[2]) / 16.0);  << 323       dx1= std::exp(std::log(p[3]/p[2]) / 16.0);
355       for (i=4; i<iMax-1; i++) {                  324       for (i=4; i<iMax-1; i++) {
356                                                   325 
357         if (i < 7) {                              326         if (i < 7) {
358           z2 = z1 + dx;                           327           z2 = z1 + dx;
359         } else if(iMax-2 == i) {                  328         } else if(iMax-2 == i) {
360           z2 = p[3];                              329           z2 = p[3];
361           break;                                  330           break;
362         } else {                                  331         } else {
363           z2 = z1*dx1;                            332           z2 = z1*dx1;
364         }                                         333         }
365         if(x >= z1 && x <= z2) break;             334         if(x >= z1 && x <= z2) break;
366         z1 = z2;                                  335         z1 = z2;
367       }                                           336       }
368       fun = p[i] + (x - z1) * (p[i+1] - p[i])/    337       fun = p[i] + (x - z1) * (p[i+1] - p[i])/(z2 - z1);
369                                                   338 
370       if(fun > amaj) {                            339       if(fun > amaj) {
371           G4cout << "WARNING in G4eIonisationS << 340           G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:" 
372                  << " Majoranta " << amaj      << 341                  << " Majoranta " << amaj 
373                  << " < " << fun                  342                  << " < " << fun
374                  << " in the first aria at x=     343                  << " in the first aria at x= " << x
375                  << G4endl;                       344                  << G4endl;
376       }                                           345       }
377                                                   346 
378       q = amaj*G4UniformRand();                   347       q = amaj*G4UniformRand();
379                                                   348 
380     } while (q >= fun);                           349     } while (q >= fun);
381                                                   350 
382   //======= Second aria to sample =====           351   //======= Second aria to sample =====
383                                                   352 
384   } else {                                        353   } else {
385                                                   354 
386     amaj = std::max(p[iMax-1], Function(0.5, p    355     amaj = std::max(p[iMax-1], Function(0.5, p)) * factor;
387     a1 = 1./a3;                                   356     a1 = 1./a3;
388     a2 = 1./a4;                                   357     a2 = 1./a4;
389                                                   358 
390     do {                                          359     do {
391                                                   360 
392       x = 1./(a2 + G4UniformRand()*(a1 - a2));    361       x = 1./(a2 + G4UniformRand()*(a1 - a2));
393       fun = Function(x, p);                       362       fun = Function(x, p);
394                                                   363 
395       if(fun > amaj) {                            364       if(fun > amaj) {
396           G4cout << "WARNING in G4eIonisationS << 365           G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:" 
397                  << " Majoranta " << amaj      << 366                  << " Majoranta " << amaj 
398                  << " < " << fun                  367                  << " < " << fun
399                  << " in the second aria at x=    368                  << " in the second aria at x= " << x
400                  << G4endl;                       369                  << G4endl;
401       }                                           370       }
402                                                   371 
403       q = amaj*G4UniformRand();                   372       q = amaj*G4UniformRand();
404                                                   373 
405     } while (q >= fun);                           374     } while (q >= fun);
406                                                   375 
407   }                                               376   }
408                                                   377 
409   p.clear();                                      378   p.clear();
410                                                   379 
411   tDelta = x*energy - bindingEnergy;              380   tDelta = x*energy - bindingEnergy;
412                                                   381 
413   if(verbose > 1) {                               382   if(verbose > 1) {
414     G4cout << "tcut(MeV)= " << tMin/MeV        << 383     G4cout << "tcut(MeV)= " << tMin/MeV 
415            << "; tMax(MeV)= " << tMax/MeV      << 384            << "; tMax(MeV)= " << tMax/MeV 
416            << "; x1= " << x1                   << 385            << "; x1= " << x1 
417            << "; x2= " << x2                   << 386            << "; x2= " << x2 
418            << "; a1= " << a1                   << 387            << "; a1= " << a1 
419            << "; a2= " << a2                   << 388            << "; a2= " << a2 
420            << "; x= " << x                     << 389            << "; x= " << x 
421            << "; be= " << bindingEnergy        << 390            << "; be= " << bindingEnergy 
422            << "; e= " << e                     << 391            << "; e= " << e 
423            << "; tDelta= " << tDelta           << 392            << "; tDelta= " << tDelta 
424            << G4endl;                             393            << G4endl;
425   }                                               394   }
426                                                   395 
427                                                   396 
428   return tDelta;                               << 397   return tDelta; 
429 }                                                 398 }
430                                                   399 
431                                                   400 
432 G4double G4eIonisationSpectrum::IntSpectrum(G4 << 401 G4double G4eIonisationSpectrum::IntSpectrum(G4double xMin, 
433               G4double xMax,                      402               G4double xMax,
434               const G4DataVector& p) const        403               const G4DataVector& p) const
435 {                                                 404 {
436   // Please comment what IntSpectrum does         405   // Please comment what IntSpectrum does
437   G4double sum = 0.0;                             406   G4double sum = 0.0;
438   if(xMin >= xMax) return sum;                    407   if(xMin >= xMax) return sum;
439                                                   408 
440   G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2,    409   G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2, q;
441                                                   410 
442   // Integral over interpolation aria             411   // Integral over interpolation aria
443   if(xMin < p[3]) {                               412   if(xMin < p[3]) {
444                                                   413 
445     x1 = p[1];                                    414     x1 = p[1];
446     y1 = p[4];                                    415     y1 = p[4];
447                                                   416 
448     G4double dx = (p[2] - p[1]) / 3.0;            417     G4double dx = (p[2] - p[1]) / 3.0;
449     G4double dx1= G4Exp(std::log(p[3]/p[2]) /  << 418     G4double dx1= std::exp(std::log(p[3]/p[2]) / 16.0);
450                                                   419 
451     for (size_t i=0; i<19; i++) {                 420     for (size_t i=0; i<19; i++) {
452                                                   421 
453       q = 0.0;                                    422       q = 0.0;
454       if (i < 3) {                                423       if (i < 3) {
455         x2 = x1 + dx;                             424         x2 = x1 + dx;
456       } else if(18 == i) {                        425       } else if(18 == i) {
457         x2 = p[3];                                426         x2 = p[3];
458       } else {                                    427       } else {
459         x2 = x1*dx1;                              428         x2 = x1*dx1;
460       }                                           429       }
461                                                   430 
462       y2 = p[5 + i];                              431       y2 = p[5 + i];
463                                                   432 
464       if (xMax <= x1) {                           433       if (xMax <= x1) {
465         break;                                    434         break;
466       } else if (xMin < x2) {                     435       } else if (xMin < x2) {
467                                                   436 
468         xs1 = x1;                                 437         xs1 = x1;
469         xs2 = x2;                                 438         xs2 = x2;
470         ys1 = y1;                                 439         ys1 = y1;
471         ys2 = y2;                                 440         ys2 = y2;
472                                                   441 
473         if (x2 > x1) {                            442         if (x2 > x1) {
474           if (xMin > x1) {                        443           if (xMin > x1) {
475             xs1 = xMin;                           444             xs1 = xMin;
476             ys1 += (xs1 - x1)*(y2 - y1)/(x2 -     445             ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1);
477     }                                          << 446     } 
478           if (xMax < x2) {                        447           if (xMax < x2) {
479             xs2 = xMax;                           448             xs2 = xMax;
480             ys2 += (xs2 - x2)*(y1 - y2)/(x1 -     449             ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2);
481     }                                          << 450     } 
482           if (xs2 > xs1) {                        451           if (xs2 > xs1) {
483             q = (ys1*xs2 - ys2*xs1)/(xs1*xs2)  << 452             q = (ys1*xs2 - ys2*xs1)/(xs1*xs2) 
484               +  std::log(xs2/xs1)*(ys2 - ys1)    453               +  std::log(xs2/xs1)*(ys2 - ys1)/(xs2 - xs1);
485             sum += q;                             454             sum += q;
486             if(p.size() == 26) G4cout << "i= "    455             if(p.size() == 26) G4cout << "i= " << i << "  q= " << q << " sum= " << sum << G4endl;
487     }                                             456     }
488   }                                            << 457   }  
489       }                                           458       }
490       x1 = x2;                                    459       x1 = x2;
491       y1 = y2;                                    460       y1 = y2;
492     }                                             461     }
493   }                                               462   }
494                                                   463 
495   // Integral over aria with parametrised form << 464   // Integral over aria with parametrised formula 
496                                                   465 
497   x1 = std::max(xMin, p[3]);                      466   x1 = std::max(xMin, p[3]);
498   if(x1 >= xMax) return sum;                      467   if(x1 >= xMax) return sum;
499   x2 = xMax;                                      468   x2 = xMax;
500                                                   469 
501   xs1 = 1./x1;                                    470   xs1 = 1./x1;
502   xs2 = 1./x2;                                    471   xs2 = 1./x2;
503   q = (xs1 - xs2)*(1.0 - p[0])                 << 472   q = (xs1 - xs2)*(1.0 - p[0]) 
504        - p[iMax]*std::log(x2/x1)               << 473        - p[iMax]*std::log(x2/x1) 
505        + (1. - p[iMax])*(x2 - x1)                 474        + (1. - p[iMax])*(x2 - x1)
506        + 1./(1. - x2) - 1./(1. - x1)           << 475        + 1./(1. - x2) - 1./(1. - x1) 
507        + p[iMax]*std::log((1. - x2)/(1. - x1))    476        + p[iMax]*std::log((1. - x2)/(1. - x1))
508        + 0.25*p[0]*(xs1*xs1 - xs2*xs2);           477        + 0.25*p[0]*(xs1*xs1 - xs2*xs2);
509   sum += q;                                       478   sum += q;
510   if(p.size() == 26) G4cout << "param...  q= "    479   if(p.size() == 26) G4cout << "param...  q= " << q <<  " sum= " << sum << G4endl;
511                                                   480 
512   return sum;                                     481   return sum;
513 }                                              << 482 } 
514                                                   483 
515                                                   484 
516 G4double G4eIonisationSpectrum::AverageValue(G << 485 G4double G4eIonisationSpectrum::AverageValue(G4double xMin, 
517                      G4double xMax,               486                      G4double xMax,
518                const G4DataVector& p) const       487                const G4DataVector& p) const
519 {                                                 488 {
520   G4double sum = 0.0;                             489   G4double sum = 0.0;
521   if(xMin >= xMax) return sum;                    490   if(xMin >= xMax) return sum;
522                                                   491 
523   G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2;    492   G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2;
524                                                   493 
525   // Integral over interpolation aria             494   // Integral over interpolation aria
526   if(xMin < p[3]) {                               495   if(xMin < p[3]) {
527                                                   496 
528     x1 = p[1];                                    497     x1 = p[1];
529     y1 = p[4];                                    498     y1 = p[4];
530                                                   499 
531     G4double dx = (p[2] - p[1]) / 3.0;            500     G4double dx = (p[2] - p[1]) / 3.0;
532     G4double dx1= G4Exp(std::log(p[3]/p[2]) /  << 501     G4double dx1= std::exp(std::log(p[3]/p[2]) / 16.0);
533                                                   502 
534     for (size_t i=0; i<19; i++) {                 503     for (size_t i=0; i<19; i++) {
535                                                   504 
536       if (i < 3) {                                505       if (i < 3) {
537         x2 = x1 + dx;                             506         x2 = x1 + dx;
538       } else if(18 == i) {                        507       } else if(18 == i) {
539         x2 = p[3];                                508         x2 = p[3];
540       } else {                                    509       } else {
541         x2 = x1*dx1;                              510         x2 = x1*dx1;
542       }                                           511       }
543                                                   512 
544       y2 = p[5 + i];                              513       y2 = p[5 + i];
545                                                   514 
546       if (xMax <= x1) {                           515       if (xMax <= x1) {
547         break;                                    516         break;
548       } else if (xMin < x2) {                     517       } else if (xMin < x2) {
549                                                   518 
550         xs1 = x1;                                 519         xs1 = x1;
551         xs2 = x2;                                 520         xs2 = x2;
552         ys1 = y1;                                 521         ys1 = y1;
553         ys2 = y2;                                 522         ys2 = y2;
554                                                   523 
555         if (x2 > x1) {                            524         if (x2 > x1) {
556           if (xMin > x1) {                        525           if (xMin > x1) {
557             xs1 = xMin;                           526             xs1 = xMin;
558             ys1 += (xs1 - x1)*(y2 - y1)/(x2 -     527             ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1);
559     }                                          << 528     } 
560           if (xMax < x2) {                        529           if (xMax < x2) {
561             xs2 = xMax;                           530             xs2 = xMax;
562             ys2 += (xs2 - x2)*(y1 - y2)/(x1 -     531             ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2);
563     }                                          << 532     } 
564           if (xs2 > xs1) {                        533           if (xs2 > xs1) {
565             sum += std::log(xs2/xs1)*(ys1*xs2  << 534             sum += std::log(xs2/xs1)*(ys1*xs2 - ys2*xs1)/(xs2 - xs1) 
566                 +  ys2 - ys1;                     535                 +  ys2 - ys1;
567     }                                             536     }
568   }                                            << 537   }  
569       }                                           538       }
570       x1 = x2;                                    539       x1 = x2;
571       y1 = y2;                                    540       y1 = y2;
572                                                   541 
573     }                                             542     }
574   }                                               543   }
575                                                   544 
576   // Integral over aria with parametrised form << 545   // Integral over aria with parametrised formula 
577                                                   546 
578   x1 = std::max(xMin, p[3]);                      547   x1 = std::max(xMin, p[3]);
579   if(x1 >= xMax) return sum;                      548   if(x1 >= xMax) return sum;
580   x2 = xMax;                                      549   x2 = xMax;
581                                                   550 
582   xs1 = 1./x1;                                    551   xs1 = 1./x1;
583   xs2 = 1./x2;                                    552   xs2 = 1./x2;
584                                                   553 
585   sum  += std::log(x2/x1)*(1.0 - p[0])         << 554   sum  += std::log(x2/x1)*(1.0 - p[0]) 
586         + 0.5*(1. - p[iMax])*(x2*x2 - x1*x1)      555         + 0.5*(1. - p[iMax])*(x2*x2 - x1*x1)
587         + 1./(1. - x2) - 1./(1. - x1)          << 556         + 1./(1. - x2) - 1./(1. - x1) 
588         + (1. + p[iMax])*std::log((1. - x2)/(1    557         + (1. + p[iMax])*std::log((1. - x2)/(1. - x1))
589         + 0.5*p[0]*(xs1 - xs2);                   558         + 0.5*p[0]*(xs1 - xs2);
590                                                   559 
591   return sum;                                     560   return sum;
592 }                                              << 561 } 
593                                                   562 
594                                                   563 
595 void G4eIonisationSpectrum::PrintData() const  << 564 void G4eIonisationSpectrum::PrintData() const 
596 {                                                 565 {
597   theParam->PrintData();                          566   theParam->PrintData();
598 }                                                 567 }
599                                                   568 
600 G4double G4eIonisationSpectrum::MaxEnergyOfSec    569 G4double G4eIonisationSpectrum::MaxEnergyOfSecondaries(G4double kineticEnergy,
601                    G4int, // Z = 0,               570                    G4int, // Z = 0,
602                    const G4ParticleDefinition*    571                    const G4ParticleDefinition* ) const
603 {                                                 572 {
604   return 0.5 * kineticEnergy;                     573   return 0.5 * kineticEnergy;
605 }                                                 574 }
606                                                   575