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>> 26 // $Id: G4eIonisationSpectrum.cc 95950 2016-03-03 10:42:48Z gcosmo $
26 // 27 //
27 // ------------------------------------------- 28 // -------------------------------------------------------------------
28 // 29 //
29 // GEANT4 Class file 30 // GEANT4 Class file
30 // 31 //
31 // 32 //
32 // File name: G4eIonisationSpectrum 33 // File name: G4eIonisationSpectrum
33 // 34 //
34 // Author: V.Ivanchenko (Vladimir.Ivanc 35 // Author: V.Ivanchenko (Vladimir.Ivanchenko@cern.ch)
35 // 36 //
36 // Creation date: 29 September 2001 37 // Creation date: 29 September 2001
37 // 38 //
38 // Modifications: 39 // Modifications:
39 // 10.10.2001 MGP Revision to improv 40 // 10.10.2001 MGP Revision to improve code quality and
40 // consistency with d 41 // consistency with design
41 // 02.11.2001 VI Optimize sampling 42 // 02.11.2001 VI Optimize sampling of energy
42 // 29.11.2001 VI New parametrisatio 43 // 29.11.2001 VI New parametrisation
43 // 19.04.2002 VI Add protection in 44 // 19.04.2002 VI Add protection in case of energy below binding
44 // 30.05.2002 VI Update to 24-param 45 // 30.05.2002 VI Update to 24-parameters data
45 // 11.07.2002 VI Fix in integration 46 // 11.07.2002 VI Fix in integration over spectrum
46 // 23.03.2009 LP Added protection a 47 // 23.03.2009 LP Added protection against division by zero (for
47 // faulty database fi 48 // faulty database files), Bug Report 1042
48 // 49 //
49 // ------------------------------------------- 50 // -------------------------------------------------------------------
50 // 51 //
51 52
52 #include "G4eIonisationSpectrum.hh" 53 #include "G4eIonisationSpectrum.hh"
53 #include "G4AtomicTransitionManager.hh" 54 #include "G4AtomicTransitionManager.hh"
54 #include "G4AtomicShell.hh" 55 #include "G4AtomicShell.hh"
55 #include "G4DataVector.hh" 56 #include "G4DataVector.hh"
56 #include "Randomize.hh" 57 #include "Randomize.hh"
57 #include "G4PhysicalConstants.hh" 58 #include "G4PhysicalConstants.hh"
58 #include "G4SystemOfUnits.hh" 59 #include "G4SystemOfUnits.hh"
59 #include "G4Exp.hh" 60 #include "G4Exp.hh"
60 61
61 G4eIonisationSpectrum::G4eIonisationSpectrum() 62 G4eIonisationSpectrum::G4eIonisationSpectrum():G4VEnergySpectrum(),
62 lowestE(0.1*eV), 63 lowestE(0.1*eV),
63 factor(1.3), 64 factor(1.3),
64 iMax(24), 65 iMax(24),
65 verbose(0) 66 verbose(0)
66 { 67 {
67 theParam = new G4eIonisationParameters(); 68 theParam = new G4eIonisationParameters();
68 } 69 }
69 70
70 71
71 G4eIonisationSpectrum::~G4eIonisationSpectrum( 72 G4eIonisationSpectrum::~G4eIonisationSpectrum()
72 { 73 {
73 delete theParam; 74 delete theParam;
74 } 75 }
75 76
76 77
77 G4double G4eIonisationSpectrum::Probability(G4 78 G4double G4eIonisationSpectrum::Probability(G4int Z,
78 G4double tMin, 79 G4double tMin,
79 G4double tMax, 80 G4double tMax,
80 G4double e, 81 G4double e,
81 G4int shell, 82 G4int shell,
82 const G4ParticleDefinition* ) co 83 const G4ParticleDefinition* ) const
83 { 84 {
84 // Please comment what Probability does and 85 // Please comment what Probability does and what are the three
85 // functions mentioned below 86 // functions mentioned below
86 // Describe the algorithms used 87 // Describe the algorithms used
87 88
88 G4double eMax = MaxEnergyOfSecondaries(e); 89 G4double eMax = MaxEnergyOfSecondaries(e);
89 G4double t0 = std::max(tMin, lowestE); 90 G4double t0 = std::max(tMin, lowestE);
90 G4double tm = std::min(tMax, eMax); 91 G4double tm = std::min(tMax, eMax);
91 if(t0 >= tm) return 0.0; 92 if(t0 >= tm) return 0.0;
92 93
93 G4double bindingEnergy = (G4AtomicTransition 94 G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
94 Shell(Z, shell)->Bi 95 Shell(Z, shell)->BindingEnergy();
95 96
96 if(e <= bindingEnergy) return 0.0; 97 if(e <= bindingEnergy) return 0.0;
97 98
98 G4double energy = e + bindingEnergy; 99 G4double energy = e + bindingEnergy;
99 100
100 G4double x1 = std::min(0.5,(t0 + bindingEner 101 G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
101 G4double x2 = std::min(0.5,(tm + bindingEner 102 G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
102 103
103 if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0. 104 if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) {
104 G4cout << "G4eIonisationSpectrum::Probabil 105 G4cout << "G4eIonisationSpectrum::Probability: Z= " << Z
105 << "; shell= " << shell 106 << "; shell= " << shell
106 << "; E(keV)= " << e/keV 107 << "; E(keV)= " << e/keV
107 << "; Eb(keV)= " << bindingEnergy/k 108 << "; Eb(keV)= " << bindingEnergy/keV
108 << "; x1= " << x1 109 << "; x1= " << x1
109 << "; x2= " << x2 110 << "; x2= " << x2
110 << G4endl; 111 << G4endl;
111 112
112 } 113 }
113 114
114 G4DataVector p; 115 G4DataVector p;
115 116
116 // Access parameters 117 // Access parameters
117 for (G4int i=0; i<iMax; i++) 118 for (G4int i=0; i<iMax; i++)
118 { 119 {
119 G4double x = theParam->Parameter(Z, shell, 120 G4double x = theParam->Parameter(Z, shell, i, e);
120 if(i<4) x /= energy; 121 if(i<4) x /= energy;
121 p.push_back(x); 122 p.push_back(x);
122 } 123 }
123 124
124 if(p[3] > 0.5) p[3] = 0.5; 125 if(p[3] > 0.5) p[3] = 0.5;
125 126
126 G4double gLocal = energy/electron_mass_c2 + 127 G4double gLocal = energy/electron_mass_c2 + 1.;
127 p.push_back((2.0*gLocal - 1.0)/(gLocal*gLoca 128 p.push_back((2.0*gLocal - 1.0)/(gLocal*gLocal));
128 129
129 //Add protection against division by zero: a 130 //Add protection against division by zero: actually in Function()
130 //parameter p[3] appears in the denominator. 131 //parameter p[3] appears in the denominator. Bug report 1042
131 if (p[3] > 0) 132 if (p[3] > 0)
132 p[iMax-1] = Function(p[3], p); 133 p[iMax-1] = Function(p[3], p);
133 else 134 else
134 { 135 {
135 G4cout << "WARNING: G4eIonisationSpectru 136 G4cout << "WARNING: G4eIonisationSpectrum::Probability "
136 << "parameter p[3] <= 0. G4LEDATA dabat 137 << "parameter p[3] <= 0. G4LEDATA dabatase might be corrupted for Z = "
137 << Z << ". Please check and/or update i 138 << Z << ". Please check and/or update it " << G4endl;
138 } 139 }
139 140
140 if(e >= 1. && e <= 0. && Z == 4) p.push_back 141 if(e >= 1. && e <= 0. && Z == 4) p.push_back(0.0);
141 142
142 143
143 G4double val = IntSpectrum(x1, x2, p); 144 G4double val = IntSpectrum(x1, x2, p);
144 G4double x0 = (lowestE + bindingEnergy)/ene 145 G4double x0 = (lowestE + bindingEnergy)/energy;
145 G4double nor = IntSpectrum(x0, 0.5, p); 146 G4double nor = IntSpectrum(x0, 0.5, p);
146 147
147 if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0. 148 if(verbose > 1 || (Z==4 && e>= 1.0 && e<= 0.0)) {
148 G4cout << "tcut= " << tMin 149 G4cout << "tcut= " << tMin
149 << "; tMax= " << tMax 150 << "; tMax= " << tMax
150 << "; x0= " << x0 151 << "; x0= " << x0
151 << "; x1= " << x1 152 << "; x1= " << x1
152 << "; x2= " << x2 153 << "; x2= " << x2
153 << "; val= " << val 154 << "; val= " << val
154 << "; nor= " << nor 155 << "; nor= " << nor
155 << "; sum= " << p[0] 156 << "; sum= " << p[0]
156 << "; a= " << p[1] 157 << "; a= " << p[1]
157 << "; b= " << p[2] 158 << "; b= " << p[2]
158 << "; c= " << p[3] 159 << "; c= " << p[3]
159 << G4endl; 160 << G4endl;
160 if(shell == 1) G4cout << "============" << 161 if(shell == 1) G4cout << "============" << G4endl;
161 } 162 }
162 163
163 p.clear(); 164 p.clear();
164 165
165 if(nor > 0.0) val /= nor; 166 if(nor > 0.0) val /= nor;
166 else val = 0.0; 167 else val = 0.0;
167 168
168 return val; 169 return val;
169 } 170 }
170 171
171 172
172 G4double G4eIonisationSpectrum::AverageEnergy( 173 G4double G4eIonisationSpectrum::AverageEnergy(G4int Z,
173 G4double tMin, 174 G4double tMin,
174 G4double tMax, 175 G4double tMax,
175 G4double e, 176 G4double e,
176 G4int shell, 177 G4int shell,
177 const G4ParticleDefinition* ) 178 const G4ParticleDefinition* ) const
178 { 179 {
179 // Please comment what AverageEnergy does an 180 // Please comment what AverageEnergy does and what are the three
180 // functions mentioned below 181 // functions mentioned below
181 // Describe the algorithms used 182 // Describe the algorithms used
182 183
183 G4double eMax = MaxEnergyOfSecondaries(e); 184 G4double eMax = MaxEnergyOfSecondaries(e);
184 G4double t0 = std::max(tMin, lowestE); 185 G4double t0 = std::max(tMin, lowestE);
185 G4double tm = std::min(tMax, eMax); 186 G4double tm = std::min(tMax, eMax);
186 if(t0 >= tm) return 0.0; 187 if(t0 >= tm) return 0.0;
187 188
188 G4double bindingEnergy = (G4AtomicTransition 189 G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
189 Shell(Z, shell)->Bi 190 Shell(Z, shell)->BindingEnergy();
190 191
191 if(e <= bindingEnergy) return 0.0; 192 if(e <= bindingEnergy) return 0.0;
192 193
193 G4double energy = e + bindingEnergy; 194 G4double energy = e + bindingEnergy;
194 195
195 G4double x1 = std::min(0.5,(t0 + bindingEner 196 G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
196 G4double x2 = std::min(0.5,(tm + bindingEner 197 G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
197 198
198 if(verbose > 1) { 199 if(verbose > 1) {
199 G4cout << "G4eIonisationSpectrum::AverageE 200 G4cout << "G4eIonisationSpectrum::AverageEnergy: Z= " << Z
200 << "; shell= " << shell 201 << "; shell= " << shell
201 << "; E(keV)= " << e/keV 202 << "; E(keV)= " << e/keV
202 << "; bindingE(keV)= " << bindingEn 203 << "; bindingE(keV)= " << bindingEnergy/keV
203 << "; x1= " << x1 204 << "; x1= " << x1
204 << "; x2= " << x2 205 << "; x2= " << x2
205 << G4endl; 206 << G4endl;
206 } 207 }
207 208
208 G4DataVector p; 209 G4DataVector p;
209 210
210 // Access parameters 211 // Access parameters
211 for (G4int i=0; i<iMax; i++) 212 for (G4int i=0; i<iMax; i++)
212 { 213 {
213 G4double x = theParam->Parameter(Z, shell, 214 G4double x = theParam->Parameter(Z, shell, i, e);
214 if(i<4) x /= energy; 215 if(i<4) x /= energy;
215 p.push_back(x); 216 p.push_back(x);
216 } 217 }
217 218
218 if(p[3] > 0.5) p[3] = 0.5; 219 if(p[3] > 0.5) p[3] = 0.5;
219 220
220 G4double gLocal2 = energy/electron_mass_c2 + 221 G4double gLocal2 = energy/electron_mass_c2 + 1.;
221 p.push_back((2.0*gLocal2 - 1.0)/(gLocal2*gLo 222 p.push_back((2.0*gLocal2 - 1.0)/(gLocal2*gLocal2));
222 223
223 224
224 //Add protection against division by zero: a 225 //Add protection against division by zero: actually in Function()
225 //parameter p[3] appears in the denominator. 226 //parameter p[3] appears in the denominator. Bug report 1042
226 if (p[3] > 0) 227 if (p[3] > 0)
227 p[iMax-1] = Function(p[3], p); 228 p[iMax-1] = Function(p[3], p);
228 else 229 else
229 { 230 {
230 G4cout << "WARNING: G4eIonisationSpectru 231 G4cout << "WARNING: G4eIonisationSpectrum::AverageEnergy "
231 << "parameter p[3] <= 0. G4LEDATA dabat 232 << "parameter p[3] <= 0. G4LEDATA dabatase might be corrupted for Z = "
232 << Z << ". Please check and/or update i 233 << Z << ". Please check and/or update it " << G4endl;
233 } 234 }
234 235
235 G4double val = AverageValue(x1, x2, p); 236 G4double val = AverageValue(x1, x2, p);
236 G4double x0 = (lowestE + bindingEnergy)/ene 237 G4double x0 = (lowestE + bindingEnergy)/energy;
237 G4double nor = IntSpectrum(x0, 0.5, p); 238 G4double nor = IntSpectrum(x0, 0.5, p);
238 val *= energy; 239 val *= energy;
239 240
240 if(verbose > 1) { 241 if(verbose > 1) {
241 G4cout << "tcut(MeV)= " << tMin/MeV 242 G4cout << "tcut(MeV)= " << tMin/MeV
242 << "; tMax(MeV)= " << tMax/MeV 243 << "; tMax(MeV)= " << tMax/MeV
243 << "; x0= " << x0 244 << "; x0= " << x0
244 << "; x1= " << x1 245 << "; x1= " << x1
245 << "; x2= " << x2 246 << "; x2= " << x2
246 << "; val= " << val 247 << "; val= " << val
247 << "; nor= " << nor 248 << "; nor= " << nor
248 << "; sum= " << p[0] 249 << "; sum= " << p[0]
249 << "; a= " << p[1] 250 << "; a= " << p[1]
250 << "; b= " << p[2] 251 << "; b= " << p[2]
251 << "; c= " << p[3] 252 << "; c= " << p[3]
252 << G4endl; 253 << G4endl;
253 } 254 }
254 255
255 p.clear(); 256 p.clear();
256 257
257 if(nor > 0.0) val /= nor; 258 if(nor > 0.0) val /= nor;
258 else val = 0.0; 259 else val = 0.0;
259 260
260 return val; 261 return val;
261 } 262 }
262 263
263 264
264 G4double G4eIonisationSpectrum::SampleEnergy(G 265 G4double G4eIonisationSpectrum::SampleEnergy(G4int Z,
265 G4double tMin, 266 G4double tMin,
266 G4double tMax, 267 G4double tMax,
267 G4double e, 268 G4double e,
268 G4int shell, 269 G4int shell,
269 const G4ParticleDefinition* ) c 270 const G4ParticleDefinition* ) const
270 { 271 {
271 // Please comment what SampleEnergy does 272 // Please comment what SampleEnergy does
272 G4double tDelta = 0.0; 273 G4double tDelta = 0.0;
273 G4double t0 = std::max(tMin, lowestE); 274 G4double t0 = std::max(tMin, lowestE);
274 G4double tm = std::min(tMax, MaxEnergyOfSeco 275 G4double tm = std::min(tMax, MaxEnergyOfSecondaries(e));
275 if(t0 > tm) return tDelta; 276 if(t0 > tm) return tDelta;
276 277
277 G4double bindingEnergy = (G4AtomicTransition 278 G4double bindingEnergy = (G4AtomicTransitionManager::Instance())->
278 Shell(Z, shell)->Bi 279 Shell(Z, shell)->BindingEnergy();
279 280
280 if(e <= bindingEnergy) return 0.0; 281 if(e <= bindingEnergy) return 0.0;
281 282
282 G4double energy = e + bindingEnergy; 283 G4double energy = e + bindingEnergy;
283 284
284 G4double x1 = std::min(0.5,(t0 + bindingEner 285 G4double x1 = std::min(0.5,(t0 + bindingEnergy)/energy);
285 G4double x2 = std::min(0.5,(tm + bindingEner 286 G4double x2 = std::min(0.5,(tm + bindingEnergy)/energy);
286 if(x1 >= x2) return tDelta; 287 if(x1 >= x2) return tDelta;
287 288
288 if(verbose > 1) { 289 if(verbose > 1) {
289 G4cout << "G4eIonisationSpectrum::SampleEn 290 G4cout << "G4eIonisationSpectrum::SampleEnergy: Z= " << Z
290 << "; shell= " << shell 291 << "; shell= " << shell
291 << "; E(keV)= " << e/keV 292 << "; E(keV)= " << e/keV
292 << G4endl; 293 << G4endl;
293 } 294 }
294 295
295 // Access parameters 296 // Access parameters
296 G4DataVector p; 297 G4DataVector p;
297 298
298 // Access parameters 299 // Access parameters
299 for (G4int i=0; i<iMax; i++) 300 for (G4int i=0; i<iMax; i++)
300 { 301 {
301 G4double x = theParam->Parameter(Z, shell, 302 G4double x = theParam->Parameter(Z, shell, i, e);
302 if(i<4) x /= energy; 303 if(i<4) x /= energy;
303 p.push_back(x); 304 p.push_back(x);
304 } 305 }
305 306
306 if(p[3] > 0.5) p[3] = 0.5; 307 if(p[3] > 0.5) p[3] = 0.5;
307 308
308 G4double gLocal3 = energy/electron_mass_c2 + 309 G4double gLocal3 = energy/electron_mass_c2 + 1.;
309 p.push_back((2.0*gLocal3 - 1.0)/(gLocal3*gLo 310 p.push_back((2.0*gLocal3 - 1.0)/(gLocal3*gLocal3));
310 311
311 312
312 //Add protection against division by zero: a 313 //Add protection against division by zero: actually in Function()
313 //parameter p[3] appears in the denominator. 314 //parameter p[3] appears in the denominator. Bug report 1042
314 if (p[3] > 0) 315 if (p[3] > 0)
315 p[iMax-1] = Function(p[3], p); 316 p[iMax-1] = Function(p[3], p);
316 else 317 else
317 { 318 {
318 G4cout << "WARNING: G4eIonisationSpectru 319 G4cout << "WARNING: G4eIonisationSpectrum::SampleSpectrum "
319 << "parameter p[3] <= 0. G4LEDATA dabat 320 << "parameter p[3] <= 0. G4LEDATA dabatase might be corrupted for Z = "
320 << Z << ". Please check and/or update i 321 << Z << ". Please check and/or update it " << G4endl;
321 } 322 }
322 323
323 G4double aria1 = 0.0; 324 G4double aria1 = 0.0;
324 G4double a1 = std::max(x1,p[1]); 325 G4double a1 = std::max(x1,p[1]);
325 G4double a2 = std::min(x2,p[3]); 326 G4double a2 = std::min(x2,p[3]);
326 if(a1 < a2) aria1 = IntSpectrum(a1, a2, p); 327 if(a1 < a2) aria1 = IntSpectrum(a1, a2, p);
327 G4double aria2 = 0.0; 328 G4double aria2 = 0.0;
328 G4double a3 = std::max(x1,p[3]); 329 G4double a3 = std::max(x1,p[3]);
329 G4double a4 = x2; 330 G4double a4 = x2;
330 if(a3 < a4) aria2 = IntSpectrum(a3, a4, p); 331 if(a3 < a4) aria2 = IntSpectrum(a3, a4, p);
331 332
332 G4double aria = (aria1 + aria2)*G4UniformRan 333 G4double aria = (aria1 + aria2)*G4UniformRand();
333 G4double amaj, fun, q, x, z1, z2, dx, dx1; 334 G4double amaj, fun, q, x, z1, z2, dx, dx1;
334 335
335 //======= First aria to sample ===== 336 //======= First aria to sample =====
336 337
337 if(aria <= aria1) { 338 if(aria <= aria1) {
338 339
339 amaj = p[4]; 340 amaj = p[4];
340 for (G4int j=5; j<iMax; j++) { 341 for (G4int j=5; j<iMax; j++) {
341 if(p[j] > amaj) amaj = p[j]; 342 if(p[j] > amaj) amaj = p[j];
342 } 343 }
343 344
344 a1 = 1./a1; 345 a1 = 1./a1;
345 a2 = 1./a2; 346 a2 = 1./a2;
346 347
347 G4int i; 348 G4int i;
348 do { 349 do {
349 350
350 x = 1./(a2 + G4UniformRand()*(a1 - a2)); 351 x = 1./(a2 + G4UniformRand()*(a1 - a2));
351 z1 = p[1]; 352 z1 = p[1];
352 z2 = p[3]; 353 z2 = p[3];
353 dx = (p[2] - p[1]) / 3.0; 354 dx = (p[2] - p[1]) / 3.0;
354 dx1= G4Exp(std::log(p[3]/p[2]) / 16.0); 355 dx1= G4Exp(std::log(p[3]/p[2]) / 16.0);
355 for (i=4; i<iMax-1; i++) { 356 for (i=4; i<iMax-1; i++) {
356 357
357 if (i < 7) { 358 if (i < 7) {
358 z2 = z1 + dx; 359 z2 = z1 + dx;
359 } else if(iMax-2 == i) { 360 } else if(iMax-2 == i) {
360 z2 = p[3]; 361 z2 = p[3];
361 break; 362 break;
362 } else { 363 } else {
363 z2 = z1*dx1; 364 z2 = z1*dx1;
364 } 365 }
365 if(x >= z1 && x <= z2) break; 366 if(x >= z1 && x <= z2) break;
366 z1 = z2; 367 z1 = z2;
367 } 368 }
368 fun = p[i] + (x - z1) * (p[i+1] - p[i])/ 369 fun = p[i] + (x - z1) * (p[i+1] - p[i])/(z2 - z1);
369 370
370 if(fun > amaj) { 371 if(fun > amaj) {
371 G4cout << "WARNING in G4eIonisationS 372 G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:"
372 << " Majoranta " << amaj 373 << " Majoranta " << amaj
373 << " < " << fun 374 << " < " << fun
374 << " in the first aria at x= 375 << " in the first aria at x= " << x
375 << G4endl; 376 << G4endl;
376 } 377 }
377 378
378 q = amaj*G4UniformRand(); 379 q = amaj*G4UniformRand();
379 380
380 } while (q >= fun); 381 } while (q >= fun);
381 382
382 //======= Second aria to sample ===== 383 //======= Second aria to sample =====
383 384
384 } else { 385 } else {
385 386
386 amaj = std::max(p[iMax-1], Function(0.5, p 387 amaj = std::max(p[iMax-1], Function(0.5, p)) * factor;
387 a1 = 1./a3; 388 a1 = 1./a3;
388 a2 = 1./a4; 389 a2 = 1./a4;
389 390
390 do { 391 do {
391 392
392 x = 1./(a2 + G4UniformRand()*(a1 - a2)); 393 x = 1./(a2 + G4UniformRand()*(a1 - a2));
393 fun = Function(x, p); 394 fun = Function(x, p);
394 395
395 if(fun > amaj) { 396 if(fun > amaj) {
396 G4cout << "WARNING in G4eIonisationS 397 G4cout << "WARNING in G4eIonisationSpectrum::SampleEnergy:"
397 << " Majoranta " << amaj 398 << " Majoranta " << amaj
398 << " < " << fun 399 << " < " << fun
399 << " in the second aria at x= 400 << " in the second aria at x= " << x
400 << G4endl; 401 << G4endl;
401 } 402 }
402 403
403 q = amaj*G4UniformRand(); 404 q = amaj*G4UniformRand();
404 405
405 } while (q >= fun); 406 } while (q >= fun);
406 407
407 } 408 }
408 409
409 p.clear(); 410 p.clear();
410 411
411 tDelta = x*energy - bindingEnergy; 412 tDelta = x*energy - bindingEnergy;
412 413
413 if(verbose > 1) { 414 if(verbose > 1) {
414 G4cout << "tcut(MeV)= " << tMin/MeV 415 G4cout << "tcut(MeV)= " << tMin/MeV
415 << "; tMax(MeV)= " << tMax/MeV 416 << "; tMax(MeV)= " << tMax/MeV
416 << "; x1= " << x1 417 << "; x1= " << x1
417 << "; x2= " << x2 418 << "; x2= " << x2
418 << "; a1= " << a1 419 << "; a1= " << a1
419 << "; a2= " << a2 420 << "; a2= " << a2
420 << "; x= " << x 421 << "; x= " << x
421 << "; be= " << bindingEnergy 422 << "; be= " << bindingEnergy
422 << "; e= " << e 423 << "; e= " << e
423 << "; tDelta= " << tDelta 424 << "; tDelta= " << tDelta
424 << G4endl; 425 << G4endl;
425 } 426 }
426 427
427 428
428 return tDelta; 429 return tDelta;
429 } 430 }
430 431
431 432
432 G4double G4eIonisationSpectrum::IntSpectrum(G4 433 G4double G4eIonisationSpectrum::IntSpectrum(G4double xMin,
433 G4double xMax, 434 G4double xMax,
434 const G4DataVector& p) const 435 const G4DataVector& p) const
435 { 436 {
436 // Please comment what IntSpectrum does 437 // Please comment what IntSpectrum does
437 G4double sum = 0.0; 438 G4double sum = 0.0;
438 if(xMin >= xMax) return sum; 439 if(xMin >= xMax) return sum;
439 440
440 G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2, 441 G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2, q;
441 442
442 // Integral over interpolation aria 443 // Integral over interpolation aria
443 if(xMin < p[3]) { 444 if(xMin < p[3]) {
444 445
445 x1 = p[1]; 446 x1 = p[1];
446 y1 = p[4]; 447 y1 = p[4];
447 448
448 G4double dx = (p[2] - p[1]) / 3.0; 449 G4double dx = (p[2] - p[1]) / 3.0;
449 G4double dx1= G4Exp(std::log(p[3]/p[2]) / 450 G4double dx1= G4Exp(std::log(p[3]/p[2]) / 16.0);
450 451
451 for (size_t i=0; i<19; i++) { 452 for (size_t i=0; i<19; i++) {
452 453
453 q = 0.0; 454 q = 0.0;
454 if (i < 3) { 455 if (i < 3) {
455 x2 = x1 + dx; 456 x2 = x1 + dx;
456 } else if(18 == i) { 457 } else if(18 == i) {
457 x2 = p[3]; 458 x2 = p[3];
458 } else { 459 } else {
459 x2 = x1*dx1; 460 x2 = x1*dx1;
460 } 461 }
461 462
462 y2 = p[5 + i]; 463 y2 = p[5 + i];
463 464
464 if (xMax <= x1) { 465 if (xMax <= x1) {
465 break; 466 break;
466 } else if (xMin < x2) { 467 } else if (xMin < x2) {
467 468
468 xs1 = x1; 469 xs1 = x1;
469 xs2 = x2; 470 xs2 = x2;
470 ys1 = y1; 471 ys1 = y1;
471 ys2 = y2; 472 ys2 = y2;
472 473
473 if (x2 > x1) { 474 if (x2 > x1) {
474 if (xMin > x1) { 475 if (xMin > x1) {
475 xs1 = xMin; 476 xs1 = xMin;
476 ys1 += (xs1 - x1)*(y2 - y1)/(x2 - 477 ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1);
477 } 478 }
478 if (xMax < x2) { 479 if (xMax < x2) {
479 xs2 = xMax; 480 xs2 = xMax;
480 ys2 += (xs2 - x2)*(y1 - y2)/(x1 - 481 ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2);
481 } 482 }
482 if (xs2 > xs1) { 483 if (xs2 > xs1) {
483 q = (ys1*xs2 - ys2*xs1)/(xs1*xs2) 484 q = (ys1*xs2 - ys2*xs1)/(xs1*xs2)
484 + std::log(xs2/xs1)*(ys2 - ys1) 485 + std::log(xs2/xs1)*(ys2 - ys1)/(xs2 - xs1);
485 sum += q; 486 sum += q;
486 if(p.size() == 26) G4cout << "i= " 487 if(p.size() == 26) G4cout << "i= " << i << " q= " << q << " sum= " << sum << G4endl;
487 } 488 }
488 } 489 }
489 } 490 }
490 x1 = x2; 491 x1 = x2;
491 y1 = y2; 492 y1 = y2;
492 } 493 }
493 } 494 }
494 495
495 // Integral over aria with parametrised form 496 // Integral over aria with parametrised formula
496 497
497 x1 = std::max(xMin, p[3]); 498 x1 = std::max(xMin, p[3]);
498 if(x1 >= xMax) return sum; 499 if(x1 >= xMax) return sum;
499 x2 = xMax; 500 x2 = xMax;
500 501
501 xs1 = 1./x1; 502 xs1 = 1./x1;
502 xs2 = 1./x2; 503 xs2 = 1./x2;
503 q = (xs1 - xs2)*(1.0 - p[0]) 504 q = (xs1 - xs2)*(1.0 - p[0])
504 - p[iMax]*std::log(x2/x1) 505 - p[iMax]*std::log(x2/x1)
505 + (1. - p[iMax])*(x2 - x1) 506 + (1. - p[iMax])*(x2 - x1)
506 + 1./(1. - x2) - 1./(1. - x1) 507 + 1./(1. - x2) - 1./(1. - x1)
507 + p[iMax]*std::log((1. - x2)/(1. - x1)) 508 + p[iMax]*std::log((1. - x2)/(1. - x1))
508 + 0.25*p[0]*(xs1*xs1 - xs2*xs2); 509 + 0.25*p[0]*(xs1*xs1 - xs2*xs2);
509 sum += q; 510 sum += q;
510 if(p.size() == 26) G4cout << "param... q= " 511 if(p.size() == 26) G4cout << "param... q= " << q << " sum= " << sum << G4endl;
511 512
512 return sum; 513 return sum;
513 } 514 }
514 515
515 516
516 G4double G4eIonisationSpectrum::AverageValue(G 517 G4double G4eIonisationSpectrum::AverageValue(G4double xMin,
517 G4double xMax, 518 G4double xMax,
518 const G4DataVector& p) const 519 const G4DataVector& p) const
519 { 520 {
520 G4double sum = 0.0; 521 G4double sum = 0.0;
521 if(xMin >= xMax) return sum; 522 if(xMin >= xMax) return sum;
522 523
523 G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2; 524 G4double x1, x2, xs1, xs2, y1, y2, ys1, ys2;
524 525
525 // Integral over interpolation aria 526 // Integral over interpolation aria
526 if(xMin < p[3]) { 527 if(xMin < p[3]) {
527 528
528 x1 = p[1]; 529 x1 = p[1];
529 y1 = p[4]; 530 y1 = p[4];
530 531
531 G4double dx = (p[2] - p[1]) / 3.0; 532 G4double dx = (p[2] - p[1]) / 3.0;
532 G4double dx1= G4Exp(std::log(p[3]/p[2]) / 533 G4double dx1= G4Exp(std::log(p[3]/p[2]) / 16.0);
533 534
534 for (size_t i=0; i<19; i++) { 535 for (size_t i=0; i<19; i++) {
535 536
536 if (i < 3) { 537 if (i < 3) {
537 x2 = x1 + dx; 538 x2 = x1 + dx;
538 } else if(18 == i) { 539 } else if(18 == i) {
539 x2 = p[3]; 540 x2 = p[3];
540 } else { 541 } else {
541 x2 = x1*dx1; 542 x2 = x1*dx1;
542 } 543 }
543 544
544 y2 = p[5 + i]; 545 y2 = p[5 + i];
545 546
546 if (xMax <= x1) { 547 if (xMax <= x1) {
547 break; 548 break;
548 } else if (xMin < x2) { 549 } else if (xMin < x2) {
549 550
550 xs1 = x1; 551 xs1 = x1;
551 xs2 = x2; 552 xs2 = x2;
552 ys1 = y1; 553 ys1 = y1;
553 ys2 = y2; 554 ys2 = y2;
554 555
555 if (x2 > x1) { 556 if (x2 > x1) {
556 if (xMin > x1) { 557 if (xMin > x1) {
557 xs1 = xMin; 558 xs1 = xMin;
558 ys1 += (xs1 - x1)*(y2 - y1)/(x2 - 559 ys1 += (xs1 - x1)*(y2 - y1)/(x2 - x1);
559 } 560 }
560 if (xMax < x2) { 561 if (xMax < x2) {
561 xs2 = xMax; 562 xs2 = xMax;
562 ys2 += (xs2 - x2)*(y1 - y2)/(x1 - 563 ys2 += (xs2 - x2)*(y1 - y2)/(x1 - x2);
563 } 564 }
564 if (xs2 > xs1) { 565 if (xs2 > xs1) {
565 sum += std::log(xs2/xs1)*(ys1*xs2 566 sum += std::log(xs2/xs1)*(ys1*xs2 - ys2*xs1)/(xs2 - xs1)
566 + ys2 - ys1; 567 + ys2 - ys1;
567 } 568 }
568 } 569 }
569 } 570 }
570 x1 = x2; 571 x1 = x2;
571 y1 = y2; 572 y1 = y2;
572 573
573 } 574 }
574 } 575 }
575 576
576 // Integral over aria with parametrised form 577 // Integral over aria with parametrised formula
577 578
578 x1 = std::max(xMin, p[3]); 579 x1 = std::max(xMin, p[3]);
579 if(x1 >= xMax) return sum; 580 if(x1 >= xMax) return sum;
580 x2 = xMax; 581 x2 = xMax;
581 582
582 xs1 = 1./x1; 583 xs1 = 1./x1;
583 xs2 = 1./x2; 584 xs2 = 1./x2;
584 585
585 sum += std::log(x2/x1)*(1.0 - p[0]) 586 sum += std::log(x2/x1)*(1.0 - p[0])
586 + 0.5*(1. - p[iMax])*(x2*x2 - x1*x1) 587 + 0.5*(1. - p[iMax])*(x2*x2 - x1*x1)
587 + 1./(1. - x2) - 1./(1. - x1) 588 + 1./(1. - x2) - 1./(1. - x1)
588 + (1. + p[iMax])*std::log((1. - x2)/(1 589 + (1. + p[iMax])*std::log((1. - x2)/(1. - x1))
589 + 0.5*p[0]*(xs1 - xs2); 590 + 0.5*p[0]*(xs1 - xs2);
590 591
591 return sum; 592 return sum;
592 } 593 }
593 594
594 595
595 void G4eIonisationSpectrum::PrintData() const 596 void G4eIonisationSpectrum::PrintData() const
596 { 597 {
597 theParam->PrintData(); 598 theParam->PrintData();
598 } 599 }
599 600
600 G4double G4eIonisationSpectrum::MaxEnergyOfSec 601 G4double G4eIonisationSpectrum::MaxEnergyOfSecondaries(G4double kineticEnergy,
601 G4int, // Z = 0, 602 G4int, // Z = 0,
602 const G4ParticleDefinition* 603 const G4ParticleDefinition* ) const
603 { 604 {
604 return 0.5 * kineticEnergy; 605 return 0.5 * kineticEnergy;
605 } 606 }
606 607