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25 // 25 //
26 // G4PhysicsVector class implementation <<
27 // 26 //
28 // Authors: << 27 //
29 // - 02 Dec. 1995, G.Cosmo: Structure created << 28 //
30 // - 03 Mar. 1996, K.Amako: Implemented the 1s << 29 // --------------------------------------------------------------
31 // Revisions: << 30 // GEANT 4 class implementation file
32 // - 11 Nov. 2000, H.Kurashige: Use STL vector << 31 //
33 // ------------------------------------------- << 32 // G4PhysicsVector.cc
>> 33 //
>> 34 // History:
>> 35 // 02 Dec. 1995, G.Cosmo : Structure created based on object model
>> 36 // 03 Mar. 1996, K.Amako : Implemented the 1st version
>> 37 // 01 Jul. 1996, K.Amako : Hidden bin from the user introduced
>> 38 // 12 Nov. 1998, K.Amako : A bug in GetVectorLength() fixed
>> 39 // 11 Nov. 2000, H.Kurashige : use STL vector for dataVector and binVector
>> 40 // 18 Jan. 2001, H.Kurashige : removed ptrNextTable
>> 41 // 09 Mar. 2001, H.Kurashige : added G4PhysicsVector type
>> 42 // 05 Sep. 2008, V.Ivanchenko : added protections for zero-length vector
>> 43 // 11 May 2009, A.Bagulya : added new implementation of methods
>> 44 // ComputeSecondDerivatives - first derivatives at edge points
>> 45 // should be provided by a user
>> 46 // FillSecondDerivatives - default computation base on "not-a-knot"
>> 47 // algorithm
>> 48 // 19 Jun. 2009, V.Ivanchenko : removed hidden bin
>> 49 // 17 Nov. 2009, H.Kurashige : use pointer for DataVector
>> 50 // 04 May 2010 H.Kurashige : use G4PhyscisVectorCache
>> 51 // 28 May 2010 H.Kurashige : Stop using pointers to G4PVDataVector
>> 52 // 16 Aug. 2011 H.Kurashige : Add dBin, baseBin and verboseLevel
>> 53 // --------------------------------------------------------------
34 54
35 #include "G4PhysicsVector.hh" <<
36 #include <iomanip> 55 #include <iomanip>
>> 56 #include "G4PhysicsVector.hh"
37 57
38 // ------------------------------------------- 58 // --------------------------------------------------------------
>> 59
39 G4PhysicsVector::G4PhysicsVector(G4bool val) 60 G4PhysicsVector::G4PhysicsVector(G4bool val)
40 : useSpline(val) << 61 : type(T_G4PhysicsVector),
>> 62 edgeMin(0.), edgeMax(0.), numberOfNodes(0),
>> 63 useSpline(val),
>> 64 invdBin(0.), baseBin(0.),
>> 65 verboseLevel(0)
41 {} 66 {}
42 67
43 // ------------------------------------------- << 68 // --------------------------------------------------------------
44 void G4PhysicsVector::Initialise() << 69
>> 70 G4PhysicsVector::~G4PhysicsVector()
>> 71 {}
>> 72
>> 73 // --------------------------------------------------------------
>> 74
>> 75 G4PhysicsVector::G4PhysicsVector(const G4PhysicsVector& right)
45 { 76 {
46 if (1 < numberOfNodes) << 77 invdBin = right.invdBin;
47 { << 78 baseBin = right.baseBin;
48 idxmax = numberOfNodes - 2; << 79 verboseLevel = right.verboseLevel;
49 edgeMin = binVector[0]; << 80
50 edgeMax = binVector[idxmax + 1]; << 81 DeleteData();
>> 82 CopyData(right);
>> 83 }
>> 84
>> 85 // --------------------------------------------------------------
>> 86
>> 87 G4PhysicsVector& G4PhysicsVector::operator=(const G4PhysicsVector& right)
>> 88 {
>> 89 if (&right==this) { return *this; }
>> 90 invdBin = right.invdBin;
>> 91 baseBin = right.baseBin;
>> 92 verboseLevel = right.verboseLevel;
>> 93
>> 94 DeleteData();
>> 95 CopyData(right);
>> 96 return *this;
>> 97 }
>> 98
>> 99 // --------------------------------------------------------------
>> 100
>> 101 G4bool G4PhysicsVector::operator==(const G4PhysicsVector &right) const
>> 102 {
>> 103 return (this == &right);
>> 104 }
>> 105
>> 106 // --------------------------------------------------------------
>> 107
>> 108 G4bool G4PhysicsVector::operator!=(const G4PhysicsVector &right) const
>> 109 {
>> 110 return (this != &right);
>> 111 }
>> 112
>> 113 // --------------------------------------------------------------
>> 114
>> 115 void G4PhysicsVector::DeleteData()
>> 116 {
>> 117 useSpline = false;
>> 118 secDerivative.clear();
>> 119 }
>> 120
>> 121 // --------------------------------------------------------------
>> 122
>> 123 void G4PhysicsVector::CopyData(const G4PhysicsVector& vec)
>> 124 {
>> 125 type = vec.type;
>> 126 edgeMin = vec.edgeMin;
>> 127 edgeMax = vec.edgeMax;
>> 128 numberOfNodes = vec.numberOfNodes;
>> 129 useSpline = vec.useSpline;
>> 130
>> 131 size_t i;
>> 132 dataVector.resize(numberOfNodes);
>> 133 for(i=0; i<numberOfNodes; ++i) {
>> 134 dataVector[i] = (vec.dataVector)[i];
>> 135 }
>> 136 binVector.resize(numberOfNodes);
>> 137 for(i=0; i<numberOfNodes; ++i) {
>> 138 binVector[i] = (vec.binVector)[i];
>> 139 }
>> 140 if(0 < (vec.secDerivative).size()) {
>> 141 secDerivative.resize(numberOfNodes);
>> 142 for(i=0; i<numberOfNodes; ++i){
>> 143 secDerivative[i] = (vec.secDerivative)[i];
>> 144 }
51 } 145 }
52 } 146 }
53 147
54 // ------------------------------------------- 148 // --------------------------------------------------------------
>> 149
>> 150 G4double G4PhysicsVector::GetLowEdgeEnergy(size_t binNumber) const
>> 151 {
>> 152 return binVector[binNumber];
>> 153 }
>> 154
>> 155 // --------------------------------------------------------------
>> 156
55 G4bool G4PhysicsVector::Store(std::ofstream& f 157 G4bool G4PhysicsVector::Store(std::ofstream& fOut, G4bool ascii) const
56 { 158 {
57 // Ascii mode 159 // Ascii mode
58 if (ascii) 160 if (ascii)
59 { 161 {
60 fOut << *this; 162 fOut << *this;
61 return true; 163 return true;
62 } << 164 }
63 // Binary Mode 165 // Binary Mode
64 166
65 // binning 167 // binning
66 fOut.write((char*) (&edgeMin), sizeof edgeMi << 168 fOut.write((char*)(&edgeMin), sizeof edgeMin);
67 fOut.write((char*) (&edgeMax), sizeof edgeMa << 169 fOut.write((char*)(&edgeMax), sizeof edgeMax);
68 fOut.write((char*) (&numberOfNodes), sizeof << 170 fOut.write((char*)(&numberOfNodes), sizeof numberOfNodes);
69 171
70 // contents 172 // contents
71 std::size_t size = dataVector.size(); << 173 size_t size = dataVector.size();
72 fOut.write((char*) (&size), sizeof size); << 174 fOut.write((char*)(&size), sizeof size);
73 175
74 auto value = new G4double[2 * size]; << 176 G4double* value = new G4double[2*size];
75 for (std::size_t i = 0; i < size; ++i) << 177 for(size_t i = 0; i < size; ++i)
76 { 178 {
77 value[2 * i] = binVector[i]; << 179 value[2*i] = binVector[i];
78 value[2 * i + 1] = dataVector[i]; << 180 value[2*i+1]= dataVector[i];
79 } 181 }
80 fOut.write((char*) (value), 2 * size * (size << 182 fOut.write((char*)(value), 2*size*(sizeof (G4double)));
81 delete[] value; << 183 delete [] value;
82 184
83 return true; 185 return true;
84 } 186 }
85 187
86 // ------------------------------------------- 188 // --------------------------------------------------------------
>> 189
87 G4bool G4PhysicsVector::Retrieve(std::ifstream 190 G4bool G4PhysicsVector::Retrieve(std::ifstream& fIn, G4bool ascii)
88 { 191 {
89 // clear properties; 192 // clear properties;
90 dataVector.clear(); 193 dataVector.clear();
91 binVector.clear(); 194 binVector.clear();
92 secDerivative.clear(); 195 secDerivative.clear();
93 196
94 // retrieve in ascii mode 197 // retrieve in ascii mode
95 if (ascii) << 198 if (ascii){
96 { <<
97 // binning 199 // binning
98 fIn >> edgeMin >> edgeMax >> numberOfNodes << 200 fIn >> edgeMin >> edgeMax >> numberOfNodes;
99 if (fIn.fail() || numberOfNodes < 2) << 201 if (fIn.fail()) { return false; }
100 { <<
101 return false; <<
102 } <<
103 // contents 202 // contents
104 G4int siz0 = 0; << 203 G4int siz=0;
105 fIn >> siz0; << 204 fIn >> siz;
106 if (siz0 < 2) { return false; } << 205 if (fIn.fail() || siz<=0) { return false; }
107 auto siz = static_cast<std::size_t>(siz0); <<
108 if (fIn.fail() || siz != numberOfNodes) <<
109 { <<
110 return false; <<
111 } <<
112 206
113 binVector.reserve(siz); 207 binVector.reserve(siz);
114 dataVector.reserve(siz); 208 dataVector.reserve(siz);
115 G4double vBin, vData; 209 G4double vBin, vData;
116 210
117 for (std::size_t i = 0; i < siz; ++i) << 211 for(G4int i = 0; i < siz ; i++)
118 { 212 {
119 vBin = 0.; << 213 vBin = 0.;
120 vData = 0.; << 214 vData= 0.;
121 fIn >> vBin >> vData; 215 fIn >> vBin >> vData;
122 if (fIn.fail()) << 216 if (fIn.fail()) { return false; }
123 { <<
124 return false; <<
125 } <<
126 binVector.push_back(vBin); 217 binVector.push_back(vBin);
127 dataVector.push_back(vData); 218 dataVector.push_back(vData);
128 } 219 }
129 Initialise(); << 220
130 return true; << 221 // to remove any inconsistency
>> 222 numberOfNodes = siz;
>> 223 edgeMin = binVector[0];
>> 224 edgeMax = binVector[numberOfNodes-1];
>> 225 return true ;
131 } 226 }
132 227
133 // retrieve in binary mode 228 // retrieve in binary mode
134 // binning 229 // binning
135 fIn.read((char*) (&edgeMin), sizeof edgeMin) << 230 fIn.read((char*)(&edgeMin), sizeof edgeMin);
136 fIn.read((char*) (&edgeMax), sizeof edgeMax) << 231 fIn.read((char*)(&edgeMax), sizeof edgeMax);
137 fIn.read((char*) (&numberOfNodes), sizeof nu << 232 fIn.read((char*)(&numberOfNodes), sizeof numberOfNodes );
138 << 233
139 // contents 234 // contents
140 std::size_t size; << 235 size_t size;
141 fIn.read((char*) (&size), sizeof size); << 236 fIn.read((char*)(&size), sizeof size);
142 << 237
143 auto value = new G4double[2 * size]; << 238 G4double* value = new G4double[2*size];
144 fIn.read((char*) (value), 2 * size * (sizeof << 239 fIn.read((char*)(value), 2*size*(sizeof(G4double)) );
145 if (static_cast<G4int>(fIn.gcount()) != stat << 240 if (G4int(fIn.gcount()) != G4int(2*size*(sizeof(G4double))) )
146 { 241 {
147 delete[] value; << 242 delete [] value;
148 return false; 243 return false;
149 } 244 }
150 245
151 binVector.reserve(size); 246 binVector.reserve(size);
152 dataVector.reserve(size); 247 dataVector.reserve(size);
153 for (std::size_t i = 0; i < size; ++i) << 248 for(size_t i = 0; i < size; ++i)
154 { 249 {
155 binVector.push_back(value[2 * i]); << 250 binVector.push_back(value[2*i]);
156 dataVector.push_back(value[2 * i + 1]); << 251 dataVector.push_back(value[2*i+1]);
157 } 252 }
158 delete[] value; << 253 delete [] value;
>> 254
>> 255 // to remove any inconsistency
>> 256 numberOfNodes = size;
>> 257 edgeMin = binVector[0];
>> 258 edgeMax = binVector[numberOfNodes-1];
159 259
160 Initialise(); <<
161 return true; 260 return true;
162 } 261 }
163 262
164 // ------------------------------------------- 263 // --------------------------------------------------------------
>> 264
165 void G4PhysicsVector::DumpValues(G4double unit 265 void G4PhysicsVector::DumpValues(G4double unitE, G4double unitV) const
166 { 266 {
167 for (std::size_t i = 0; i < numberOfNodes; + << 267 for (size_t i = 0; i < numberOfNodes; ++i)
168 { << 268 {
169 G4cout << binVector[i] / unitE << " " << << 269 G4cout << binVector[i]/unitE << " " << dataVector[i]/unitV << G4endl;
170 << G4endl; << 270 }
171 } <<
172 } 271 }
173 272
174 // ------------------------------------------- 273 // --------------------------------------------------------------------
175 std::size_t G4PhysicsVector::FindBin(const G4d << 274
176 std::size << 275 void
>> 276 G4PhysicsVector::ScaleVector(G4double factorE, G4double factorV)
177 { 277 {
178 if (idx + 1 < numberOfNodes && << 278 size_t n = dataVector.size();
179 energy >= binVector[idx] && energy <= bi << 279 size_t i;
180 { << 280 for(i=0; i<n; ++i) {
181 return idx; << 281 binVector[i] *= factorE;
182 } << 282 dataVector[i] *= factorV;
183 if (energy <= binVector[1]) <<
184 { <<
185 return 0; <<
186 } <<
187 if (energy >= binVector[idxmax]) <<
188 { <<
189 return idxmax; <<
190 } 283 }
191 return GetBin(energy); << 284 secDerivative.clear();
>> 285
>> 286 edgeMin = binVector[0];
>> 287 edgeMax = binVector[n-1];
192 } 288 }
193 289
194 // ------------------------------------------- << 290 // --------------------------------------------------------------
195 void G4PhysicsVector::ScaleVector(const G4doub << 291
196 const G4doub << 292 void
>> 293 G4PhysicsVector::ComputeSecondDerivatives(G4double firstPointDerivative,
>> 294 G4double endPointDerivative)
>> 295 // A standard method of computation of second derivatives
>> 296 // First derivatives at the first and the last point should be provided
>> 297 // See for example W.H. Press et al. "Numerical recipes in C"
>> 298 // Cambridge University Press, 1997.
197 { 299 {
198 for (std::size_t i = 0; i < numberOfNodes; + << 300 if(4 > numberOfNodes) // cannot compute derivatives for less than 4 bins
199 { 301 {
200 binVector[i] *= factorE; << 302 ComputeSecDerivatives();
201 dataVector[i] *= factorV; <<
202 } <<
203 Initialise(); <<
204 } <<
205 <<
206 // ------------------------------------------- <<
207 void G4PhysicsVector::FillSecondDerivatives(co <<
208 const G4double dir1, <<
209 const G4double dir2) <<
210 { <<
211 if (!useSpline) { return; } <<
212 // cannot compute derivatives for less than <<
213 const std::size_t nmin = (stype == G4SplineT <<
214 if (nmin > numberOfNodes) <<
215 { <<
216 if (0 < verboseLevel) <<
217 { <<
218 G4cout << "### G4PhysicsVector: spline c <<
219 << numberOfNodes << " points - spline d <<
220 << G4endl; <<
221 DumpValues(); <<
222 } <<
223 useSpline = false; <<
224 return; 303 return;
225 } 304 }
226 // check energies of free vector <<
227 if (type == T_G4PhysicsFreeVector) <<
228 { <<
229 for (std::size_t i=0; i<=idxmax; ++i) <<
230 { <<
231 if (binVector[i + 1] <= binVector[i]) <<
232 { <<
233 if (0 < verboseLevel) <<
234 { <<
235 G4cout << "### G4PhysicsVector: spline can <<
236 << " E[" << i << "]=" << binVector[i] <<
237 << " >= E[" << i+1 << "]=" << binVector[i <<
238 << G4endl; <<
239 DumpValues(); <<
240 } <<
241 useSpline = false; <<
242 return; <<
243 } <<
244 } <<
245 } <<
246 305
247 // spline is possible << 306 if(!SplinePossible()) { return; }
248 Initialise(); <<
249 secDerivative.resize(numberOfNodes); <<
250 307
251 if (1 < verboseLevel) << 308 useSpline = true;
252 { <<
253 G4cout << "### G4PhysicsVector:: FillSecon <<
254 << numberOfNodes << G4endl; <<
255 DumpValues(); <<
256 } <<
257 309
258 switch(stype) << 310 G4int n = numberOfNodes-1;
259 { <<
260 case G4SplineType::Base: <<
261 ComputeSecDerivative1(); <<
262 break; <<
263 311
264 case G4SplineType::FixedEdges: << 312 G4double* u = new G4double [n];
265 ComputeSecDerivative2(dir1, dir2); << 313
266 break; << 314 G4double p, sig, un;
267 315
268 default: << 316 u[0] = (6.0/(binVector[1]-binVector[0]))
269 ComputeSecDerivative0(); << 317 * ((dataVector[1]-dataVector[0])/(binVector[1]-binVector[0])
270 } << 318 - firstPointDerivative);
271 } << 319
>> 320 secDerivative[0] = - 0.5;
272 321
273 // ------------------------------------------- << 322 // Decomposition loop for tridiagonal algorithm. secDerivative[i]
274 void G4PhysicsVector::ComputeSecDerivative0() << 323 // and u[i] are used for temporary storage of the decomposed factors.
275 // A simplified method of computation of seco <<
276 { <<
277 std::size_t n = numberOfNodes - 1; <<
278 324
279 for (std::size_t i = 1; i < n; ++i) << 325 for(G4int i=1; i<n; ++i)
280 { 326 {
281 secDerivative[i] = 3.0 * << 327 sig = (binVector[i]-binVector[i-1]) / (binVector[i+1]-binVector[i-1]);
282 ((dataVector[i + 1] - dataVector[i]) / ( << 328 p = sig*(secDerivative[i-1]) + 2.0;
283 (dataVector[i] - dataVector[i - 1]) / << 329 secDerivative[i] = (sig - 1.0)/p;
284 (binVector[i] - binVector[i - 1])) / << 330 u[i] = (dataVector[i+1]-dataVector[i])/(binVector[i+1]-binVector[i])
285 (binVector[i + 1] - binVector[i - 1]); << 331 - (dataVector[i]-dataVector[i-1])/(binVector[i]-binVector[i-1]);
>> 332 u[i] = 6.0*u[i]/(binVector[i+1]-binVector[i-1]) - sig*u[i-1]/p;
>> 333 }
>> 334
>> 335 sig = (binVector[n-1]-binVector[n-2]) / (binVector[n]-binVector[n-2]);
>> 336 p = sig*secDerivative[n-2] + 2.0;
>> 337 un = (6.0/(binVector[n]-binVector[n-1]))
>> 338 *(endPointDerivative -
>> 339 (dataVector[n]-dataVector[n-1])/(binVector[n]-binVector[n-1])) - u[n-1]/p;
>> 340 secDerivative[n] = un/(secDerivative[n-1] + 2.0);
>> 341
>> 342 // The back-substitution loop for the triagonal algorithm of solving
>> 343 // a linear system of equations.
>> 344
>> 345 for(G4int k=n-1; k>0; --k)
>> 346 {
>> 347 secDerivative[k] *=
>> 348 (secDerivative[k+1] -
>> 349 u[k]*(binVector[k+1]-binVector[k-1])/(binVector[k+1]-binVector[k]));
286 } 350 }
287 secDerivative[n] = secDerivative[n - 1]; << 351 secDerivative[0] = 0.5*(u[0] - secDerivative[1]);
288 secDerivative[0] = secDerivative[1]; << 352
>> 353 delete [] u;
289 } 354 }
290 355
291 // ------------------------------------------- 356 // --------------------------------------------------------------
292 void G4PhysicsVector::ComputeSecDerivative1() << 357
293 // Computation of second derivatives using "No << 358 void G4PhysicsVector::FillSecondDerivatives()
294 // B.I. Kvasov "Methods of shape-preserving sp << 359 // Computation of second derivatives using "Not-a-knot" endpoint conditions
295 // World Scientific, 2000 << 360 // B.I. Kvasov "Methods of shape-preserving spline approximation"
>> 361 // World Scientific, 2000
296 { 362 {
297 std::size_t n = numberOfNodes - 1; << 363 if(5 > numberOfNodes) // cannot compute derivatives for less than 4 points
298 auto u = new G4double[n]; << 364 {
299 G4double p, sig; << 365 ComputeSecDerivatives();
>> 366 return;
>> 367 }
>> 368
>> 369 if(!SplinePossible()) { return; }
300 370
301 u[1] = ((dataVector[2] - dataVector[1]) / (b << 371 useSpline = true;
302 (dataVector[1] - dataVector[0]) / (b << 372
303 u[1] = 6.0 * u[1] * (binVector[2] - binVecto << 373 G4int n = numberOfNodes-1;
304 ((binVector[2] - binVector[0]) * (bin <<
305 374
>> 375 G4double* u = new G4double [n];
>> 376
>> 377 G4double p, sig;
>> 378
>> 379 u[1] = ((dataVector[2]-dataVector[1])/(binVector[2]-binVector[1]) -
>> 380 (dataVector[1]-dataVector[0])/(binVector[1]-binVector[0]));
>> 381 u[1] = 6.0*u[1]*(binVector[2]-binVector[1])
>> 382 / ((binVector[2]-binVector[0])*(binVector[2]-binVector[0]));
>> 383
306 // Decomposition loop for tridiagonal algori 384 // Decomposition loop for tridiagonal algorithm. secDerivative[i]
307 // and u[i] are used for temporary storage o 385 // and u[i] are used for temporary storage of the decomposed factors.
308 386
309 secDerivative[1] = (2.0 * binVector[1] - bin << 387 secDerivative[1] = (2.0*binVector[1]-binVector[0]-binVector[2])
310 (2.0 * binVector[2] - bin << 388 / (2.0*binVector[2]-binVector[0]-binVector[1]);
311 389
312 for(std::size_t i = 2; i < n - 1; ++i) << 390 for(G4int i=2; i<n-1; ++i)
313 { 391 {
314 sig = << 392 sig = (binVector[i]-binVector[i-1]) / (binVector[i+1]-binVector[i-1]);
315 (binVector[i] - binVector[i - 1]) / (bin << 393 p = sig*secDerivative[i-1] + 2.0;
316 p = sig * secDerivative[i - << 394 secDerivative[i] = (sig - 1.0)/p;
317 secDerivative[i] = (sig - 1.0) / p; << 395 u[i] = (dataVector[i+1]-dataVector[i])/(binVector[i+1]-binVector[i])
318 u[i] = << 396 - (dataVector[i]-dataVector[i-1])/(binVector[i]-binVector[i-1]);
319 (dataVector[i + 1] - dataVector[i]) / (b << 397 u[i] = (6.0*u[i]/(binVector[i+1]-binVector[i-1])) - sig*u[i-1]/p;
320 (dataVector[i] - dataVector[i - 1]) / (b << 398 }
321 u[i] = << 399
322 (6.0 * u[i] / (binVector[i + 1] - binVec << 400 sig = (binVector[n-1]-binVector[n-2]) / (binVector[n]-binVector[n-2]);
323 } << 401 p = sig*secDerivative[n-3] + 2.0;
324 << 402 u[n-1] = (dataVector[n]-dataVector[n-1])/(binVector[n]-binVector[n-1])
325 sig = << 403 - (dataVector[n-1]-dataVector[n-2])/(binVector[n-1]-binVector[n-2]);
326 (binVector[n - 1] - binVector[n - 2]) / (b << 404 u[n-1] = 6.0*sig*u[n-1]/(binVector[n]-binVector[n-2])
327 p = sig * secDerivative[n - 3] + 2.0; << 405 - (2.0*sig - 1.0)*u[n-2]/p;
328 u[n - 1] = <<
329 (dataVector[n] - dataVector[n - 1]) / (bin <<
330 (dataVector[n - 1] - dataVector[n - 2]) / <<
331 (binVector[n - 1] - binVector[n - 2]); <<
332 u[n - 1] = 6.0 * sig * u[n - 1] / (binVector <<
333 (2.0 * sig - 1.0) * u[n - 2] / p; <<
334 406
335 p = (1.0 + sig) + (2.0 * sig - 1.0) * secDer << 407 p = (1.0+sig) + (2.0*sig-1.0)*secDerivative[n-2];
336 secDerivative[n - 1] = u[n - 1] / p; << 408 secDerivative[n-1] = u[n-1]/p;
337 409
338 // The back-substitution loop for the triago 410 // The back-substitution loop for the triagonal algorithm of solving
339 // a linear system of equations. 411 // a linear system of equations.
340 << 412
341 for (std::size_t k = n - 2; k > 1; --k) << 413 for(G4int k=n-2; k>1; --k)
342 { 414 {
343 secDerivative[k] *= << 415 secDerivative[k] *=
344 (secDerivative[k + 1] - u[k] * (binVecto << 416 (secDerivative[k+1] -
345 (binVector[k + << 417 u[k]*(binVector[k+1]-binVector[k-1])/(binVector[k+1]-binVector[k]));
346 } << 418 }
347 secDerivative[n] = << 419 secDerivative[n] = (secDerivative[n-1] - (1.0-sig)*secDerivative[n-2])/sig;
348 (secDerivative[n - 1] - (1.0 - sig) * secD << 420 sig = 1.0 - ((binVector[2]-binVector[1])/(binVector[2]-binVector[0]));
349 sig = 1.0 - ((binVector[2] - binVector[1]) / << 421 secDerivative[1] *= (secDerivative[2] - u[1]/(1.0-sig));
350 secDerivative[1] *= (secDerivative[2] - u[1] << 422 secDerivative[0] = (secDerivative[1] - sig*secDerivative[2])/(1.0-sig);
351 secDerivative[0] = (secDerivative[1] - sig * <<
352 423
353 delete[] u; << 424 delete [] u;
354 } 425 }
355 426
356 // ------------------------------------------- 427 // --------------------------------------------------------------
357 void G4PhysicsVector::ComputeSecDerivative2(G4 <<
358 G4 <<
359 // A standard method of computation of second <<
360 // First derivatives at the first and the last <<
361 // See for example W.H. Press et al. "Numerica <<
362 // Cambridge University Press, 1997. <<
363 { <<
364 std::size_t n = numberOfNodes - 1; <<
365 auto u = new G4double[n]; <<
366 G4double p, sig, un; <<
367 <<
368 u[0] = (6.0 / (binVector[1] - binVector[0])) <<
369 ((dataVector[1] - dataVector[0]) / (b <<
370 firstPointDerivative); <<
371 428
372 secDerivative[0] = -0.5; << 429 void
>> 430 G4PhysicsVector::ComputeSecDerivatives()
>> 431 // A simplified method of computation of second derivatives
>> 432 {
>> 433 if(3 > numberOfNodes) // cannot compute derivatives for less than 4 bins
>> 434 {
>> 435 useSpline = false;
>> 436 return;
>> 437 }
373 438
374 // Decomposition loop for tridiagonal algori << 439 if(!SplinePossible()) { return; }
375 // and u[i] are used for temporary storage o <<
376 440
377 for (std::size_t i = 1; i < n; ++i) << 441 useSpline = true;
378 { <<
379 sig = <<
380 (binVector[i] - binVector[i - 1]) / (bin <<
381 p = sig * (secDerivative[i <<
382 secDerivative[i] = (sig - 1.0) / p; <<
383 u[i] = <<
384 (dataVector[i + 1] - dataVector[i]) / (b <<
385 (dataVector[i] - dataVector[i - 1]) / (b <<
386 u[i] = <<
387 6.0 * u[i] / (binVector[i + 1] - binVect <<
388 } <<
389 <<
390 sig = <<
391 (binVector[n - 1] - binVector[n - 2]) / (b <<
392 p = sig * secDerivative[n - 2] + 2.0; <<
393 un = (6.0 / (binVector[n] - binVector[n - 1] <<
394 (endPointDerivative - (dataVector[n] <<
395 (binVector[n] <<
396 u[n - 1] / p; <<
397 secDerivative[n] = un / (secDerivative[n - 1 <<
398 442
399 // The back-substitution loop for the triago << 443 size_t n = numberOfNodes-1;
400 // a linear system of equations. <<
401 444
402 for (std::size_t k = n - 1; k > 0; --k) << 445 for(size_t i=1; i<n; ++i)
403 { 446 {
404 secDerivative[k] *= << 447 secDerivative[i] =
405 (secDerivative[k + 1] - u[k] * (binVecto << 448 3.0*((dataVector[i+1]-dataVector[i])/(binVector[i+1]-binVector[i]) -
406 (binVector[k + << 449 (dataVector[i]-dataVector[i-1])/(binVector[i]-binVector[i-1]))
>> 450 /(binVector[i+1]-binVector[i-1]);
407 } 451 }
408 secDerivative[0] = 0.5 * (u[0] - secDerivati << 452 secDerivative[n] = secDerivative[n-1];
409 << 453 secDerivative[0] = secDerivative[1];
410 delete[] u; <<
411 } 454 }
412 455
413 // ------------------------------------------- 456 // --------------------------------------------------------------
>> 457
>> 458 G4bool G4PhysicsVector::SplinePossible()
>> 459 // Initialise second derivative array. If neighbor energy coincide
>> 460 // or not ordered than spline cannot be applied
>> 461 {
>> 462 G4bool result = true;
>> 463 for(size_t j=1; j<numberOfNodes; ++j)
>> 464 {
>> 465 if(binVector[j] <= binVector[j-1]) {
>> 466 result = false;
>> 467 useSpline = false;
>> 468 secDerivative.clear();
>> 469 break;
>> 470 }
>> 471 }
>> 472 secDerivative.resize(numberOfNodes,0.0);
>> 473 return result;
>> 474 }
>> 475
>> 476 // --------------------------------------------------------------
>> 477
414 std::ostream& operator<<(std::ostream& out, co 478 std::ostream& operator<<(std::ostream& out, const G4PhysicsVector& pv)
415 { 479 {
416 // binning 480 // binning
417 G4long prec = out.precision(); << 481 out << std::setprecision(12) << pv.edgeMin << " "
418 out << std::setprecision(12) << pv.edgeMin < << 482 << pv.edgeMax << " " << pv.numberOfNodes << G4endl;
419 << pv.numberOfNodes << G4endl; <<
420 483
421 // contents 484 // contents
422 out << pv.dataVector.size() << G4endl; << 485 out << pv.dataVector.size() << G4endl;
423 for (std::size_t i = 0; i < pv.dataVector.si << 486 for(size_t i = 0; i < pv.dataVector.size(); i++)
424 { 487 {
425 out << pv.binVector[i] << " " << pv.dataV 488 out << pv.binVector[i] << " " << pv.dataVector[i] << G4endl;
426 } 489 }
427 out.precision(prec); << 490 out << std::setprecision(6);
428 491
429 return out; 492 return out;
430 } 493 }
431 494
432 //-------------------------------------------- 495 //---------------------------------------------------------------
433 G4double G4PhysicsVector::GetEnergy(const G4do << 496
>> 497 G4double G4PhysicsVector::Value(G4double theEnergy, size_t& lastIdx) const
434 { 498 {
435 if (0 == numberOfNodes) << 499 G4double y;
436 { << 500 if(theEnergy <= edgeMin) {
437 return 0.0; << 501 lastIdx = 0;
438 } << 502 y = dataVector[0];
439 if (1 == numberOfNodes || val <= dataVector[ << 503 } else if(theEnergy >= edgeMax) {
440 { << 504 lastIdx = numberOfNodes-1;
441 return edgeMin; << 505 y = dataVector[lastIdx];
>> 506 } else {
>> 507 lastIdx = FindBin(theEnergy, lastIdx);
>> 508 y = Interpolation(lastIdx, theEnergy);
442 } 509 }
443 if (val >= dataVector[numberOfNodes - 1]) << 510 return y;
444 { << 511 }
445 return edgeMax; << 512
446 } << 513 //---------------------------------------------------------------
447 std::size_t bin = std::lower_bound(dataVecto << 514
448 - dataVector.cbegin() - 1; << 515 G4double G4PhysicsVector::FindLinearEnergy(G4double rand) const
449 if (bin > idxmax) { bin = idxmax; } << 516 {
>> 517 if(1 >= numberOfNodes) { return 0.0; }
>> 518 G4double y = rand*dataVector[numberOfNodes-1];
>> 519 size_t bin = std::lower_bound(dataVector.begin(), dataVector.end(), y)
>> 520 - dataVector.begin() - 1;
>> 521 bin = std::min(bin, numberOfNodes-2);
450 G4double res = binVector[bin]; 522 G4double res = binVector[bin];
451 G4double del = dataVector[bin + 1] - dataVec << 523 G4double del = dataVector[bin+1] - dataVector[bin];
452 if (del > 0.0) << 524 if(del > 0.0) {
453 { << 525 res += (y - dataVector[bin])*(binVector[bin+1] - res)/del;
454 res += (val - dataVector[bin]) * (binVecto <<
455 } 526 }
456 return res; 527 return res;
457 } 528 }
458 529
459 //-------------------------------------------- 530 //---------------------------------------------------------------
460 void G4PhysicsVector::PrintPutValueError(std:: << 531
461 G4dou << 532 void G4PhysicsVector::PrintPutValueError(size_t index)
462 const <<
463 { 533 {
464 G4ExceptionDescription ed; 534 G4ExceptionDescription ed;
465 ed << "Vector type: " << type << " length= " << 535 ed << "Vector type " << type << " length= " << numberOfNodes
466 << "; an attempt to put data at index= " << 536 << " an attempt to put data at index= " << index;
467 << " value= " << val << " in " << text; << 537 G4Exception("G4PhysicsVector::PutValue()","gl0005",FatalException,
468 G4Exception("G4PhysicsVector:", "gl0005", << 538 ed,"Memory overwritten");
469 FatalException, ed, "Wrong opera << 539
470 } 540 }
471 541
472 //-------------------------------------------- 542 //---------------------------------------------------------------
473 543