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1c56e311 | 1 | /************************************************************************** |
4c039060 | 2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
88cb7938 | 16 | /* $Id$ */ |
4c039060 | 17 | |
8caed1f4 | 18 | // |
19 | // Class for dimuon analysis and fast dimuon simulation. | |
20 | // It provides single and dimuon iterators, cuts, weighting, kinematic | |
21 | // It uses the AliRun particle tree. | |
22 | // Comments and suggestions to | |
23 | // andreas.morsch@cern.ch | |
24 | ||
675e9664 | 25 | |
f87cfe57 | 26 | #include <TClonesArray.h> |
d430df3f | 27 | #include <TParticle.h> |
116cbefd | 28 | #include <TPDGCode.h> |
29 | #include <TRandom.h> | |
3b467544 | 30 | #include <TTree.h> |
5c3fd7ea | 31 | |
116cbefd | 32 | #include "AliDimuCombinator.h" |
33 | #include "AliRun.h" | |
5d12ce38 | 34 | #include "AliMC.h" |
116cbefd | 35 | |
fe4da5cc | 36 | // |
dafbc1c5 | 37 | ClassImp(AliDimuCombinator) |
1c56e311 | 38 | |
39 | AliDimuCombinator::AliDimuCombinator(): | |
33c3c91a | 40 | fNParticle((Int_t) (AliRunLoader::Instance()->TreeK())->GetEntries()), |
1c56e311 | 41 | fImuon1(0), |
42 | fImuon2(0), | |
43 | fImin1(0), | |
44 | fImin2(0), | |
45 | fImax1(fNParticle), | |
46 | fImax2(fNParticle), | |
47 | fRate1(1.), | |
48 | fRate2(1.), | |
49 | fMuon1(0), | |
50 | fMuon2(0), | |
51 | fPtMin(0.), | |
52 | fEtaMin(-10.), | |
53 | fEtaMax(10.) | |
f87cfe57 | 54 | { |
55 | // Constructor | |
33c3c91a | 56 | fNParticle = (Int_t) (AliRunLoader::Instance()->TreeK())->GetEntries(); |
f87cfe57 | 57 | } |
58 | ||
59 | AliDimuCombinator::AliDimuCombinator(const AliDimuCombinator & combinator) | |
1c56e311 | 60 | :TObject(combinator), |
61 | fNParticle(0), | |
62 | fImuon1(0), | |
63 | fImuon2(0), | |
64 | fImin1(0), | |
65 | fImin2(0), | |
66 | fImax1(0), | |
67 | fImax2(0), | |
68 | fRate1(0), | |
69 | fRate2(0), | |
70 | fMuon1(0), | |
71 | fMuon2(0), | |
72 | fPtMin(0.), | |
73 | fEtaMin(0.), | |
74 | fEtaMax(0.) | |
f87cfe57 | 75 | { |
675e9664 | 76 | // Dummy copy constructor |
198bb1c7 | 77 | combinator.Copy(*this); |
f87cfe57 | 78 | } |
79 | ||
80 | ||
fe4da5cc | 81 | // |
82 | // Iterators | |
83 | // | |
8caed1f4 | 84 | TParticle* AliDimuCombinator::Particle(Int_t i) const |
3b467544 | 85 | { |
8caed1f4 | 86 | // Return next particle |
87 | // | |
5d12ce38 | 88 | return gAlice->GetMCApp()->Particle(i); |
3b467544 | 89 | } |
90 | ||
f87cfe57 | 91 | TParticle* AliDimuCombinator::FirstMuon() |
92 | { | |
93 | // Single muon iterator: initialisation | |
3b467544 | 94 | fImuon1 = fImin1; |
95 | fMuon1 = Particle(fImuon1); | |
96 | while(Type(fMuon1) != kMuonPlus && Type(fMuon1) != kMuonMinus) { | |
d430df3f | 97 | fImuon1++; |
3b467544 | 98 | if (fImuon1 >= fImax1) {fMuon1 = 0; break;} |
99 | fMuon1 = Particle(fImuon1); | |
f87cfe57 | 100 | } |
d430df3f | 101 | return fMuon1; |
f87cfe57 | 102 | } |
103 | ||
104 | TParticle* AliDimuCombinator::FirstMuonSelected() | |
105 | { | |
106 | // Single selected muon iterator: initialisation | |
3b467544 | 107 | TParticle* muon = FirstMuon(); |
108 | while(muon != 0 && !Selected(muon)) {muon = NextMuon();} | |
f87cfe57 | 109 | return muon; |
110 | } | |
111 | ||
112 | ||
113 | TParticle* AliDimuCombinator::NextMuon() | |
114 | { | |
115 | // Single muon iterator: increment | |
d430df3f | 116 | fImuon1++; |
3b467544 | 117 | if (fImuon1 >= fNParticle) {fMuon1 = 0; return fMuon1;} |
f87cfe57 | 118 | |
3b467544 | 119 | fMuon1 = Particle(fImuon1); |
120 | while(Type(fMuon1) != kMuonPlus && Type(fMuon1) != kMuonMinus) { | |
d430df3f | 121 | fImuon1++; |
3b467544 | 122 | if (fImuon1 >= fImax1) {fMuon1 = 0; break;} |
123 | fMuon1 = Particle(fImuon1); | |
f87cfe57 | 124 | } |
d430df3f | 125 | return fMuon1; |
f87cfe57 | 126 | } |
fe4da5cc | 127 | |
1578254f | 128 | TParticle* AliDimuCombinator::NextMuonSelected() |
fe4da5cc | 129 | { |
f87cfe57 | 130 | // Single selected muon iterator: increment |
3b467544 | 131 | TParticle * muon = NextMuon(); |
132 | while(muon !=0 && !Selected(muon)) {muon = NextMuon();} | |
f87cfe57 | 133 | return muon; |
fe4da5cc | 134 | } |
135 | ||
136 | ||
f87cfe57 | 137 | void AliDimuCombinator::FirstPartner() |
138 | { | |
139 | // Helper for dimuon iterator: initialisation | |
3b467544 | 140 | if (fImin1 == fImin2) { |
141 | fImuon2 = fImuon1+1; | |
f87cfe57 | 142 | } else { |
3b467544 | 143 | fImuon2 = fImin2; |
f87cfe57 | 144 | } |
3b467544 | 145 | if (fImuon2 >= fImax2) {fMuon2 = 0; return;} |
146 | fMuon2 = Particle(fImuon2); | |
147 | while(Type(fMuon2) != kMuonPlus && Type(fMuon2) != kMuonMinus) { | |
d430df3f | 148 | fImuon2++; |
3b467544 | 149 | if (fImuon2 >= fImax2) {fMuon2 = 0; break;} |
150 | fMuon2 = Particle(fImuon2); | |
f87cfe57 | 151 | } |
152 | } | |
fe4da5cc | 153 | |
f87cfe57 | 154 | void AliDimuCombinator::FirstPartnerSelected() |
155 | { | |
156 | // Helper for selected dimuon iterator: initialisation | |
157 | FirstPartner(); | |
d430df3f | 158 | while(fMuon2 !=0 && !Selected(fMuon2)) {NextPartner();} |
f87cfe57 | 159 | } |
fe4da5cc | 160 | |
fe4da5cc | 161 | |
f87cfe57 | 162 | void AliDimuCombinator::NextPartner() |
163 | { | |
164 | // Helper for dimuon iterator: increment | |
d430df3f | 165 | fImuon2++; |
3b467544 | 166 | if (fImuon2 >= fImax2) {fMuon2 = 0; return;} |
f87cfe57 | 167 | |
168 | ||
3b467544 | 169 | fMuon2 = Particle(fImuon2); |
f87cfe57 | 170 | |
3b467544 | 171 | while(Type(fMuon2) != kMuonPlus && Type(fMuon2) != kMuonMinus) { |
d430df3f | 172 | fImuon2++; |
3b467544 | 173 | if (fImuon2 >= fImax2) {fMuon2 = 0; break;} |
174 | fMuon2 = Particle(fImuon2); | |
f87cfe57 | 175 | } |
176 | } | |
fe4da5cc | 177 | |
dafbc1c5 | 178 | void AliDimuCombinator::NextPartnerSelected() |
fe4da5cc | 179 | { |
f87cfe57 | 180 | // Helper for selected dimuon iterator: increment |
181 | NextPartner(); | |
d430df3f | 182 | while(fMuon2 !=0 && !Selected(fMuon2)) {NextPartner();} |
fe4da5cc | 183 | } |
184 | ||
185 | ||
8caed1f4 | 186 | TParticle* AliDimuCombinator::Partner() const |
f87cfe57 | 187 | { |
188 | // Returns current partner for muon to form a dimuon | |
d430df3f | 189 | return fMuon2; |
f87cfe57 | 190 | } |
fe4da5cc | 191 | |
1578254f | 192 | void AliDimuCombinator::FirstMuonPair(TParticle* & muon1, TParticle* & muon2) |
f87cfe57 | 193 | { |
194 | // Dimuon iterator: initialisation | |
195 | FirstMuon(); | |
196 | FirstPartner(); | |
3b467544 | 197 | muon1 = fMuon1; |
198 | muon2 = fMuon2; | |
f87cfe57 | 199 | } |
200 | ||
1578254f | 201 | void AliDimuCombinator::NextMuonPair(TParticle* & muon1, TParticle* & muon2) |
f87cfe57 | 202 | { |
203 | // Dimuon iterator: increment | |
204 | NextPartner(); | |
205 | if (!Partner()) { | |
206 | NextMuon(); | |
207 | FirstPartner(); | |
208 | } | |
3b467544 | 209 | muon1 = fMuon1; |
210 | muon2 = fMuon2; | |
f87cfe57 | 211 | } |
212 | void AliDimuCombinator::FirstMuonPairSelected(TParticle* & muon1, | |
213 | TParticle* & muon2) | |
214 | { | |
215 | // Selected dimuon iterator: initialisation | |
216 | FirstMuonSelected(); | |
217 | FirstPartnerSelected(); | |
3b467544 | 218 | muon1 = fMuon1; |
219 | muon2 = fMuon2; | |
f87cfe57 | 220 | } |
221 | ||
222 | void AliDimuCombinator::NextMuonPairSelected(TParticle* & muon1, | |
223 | TParticle* & muon2) | |
224 | { | |
225 | // Selected dimuon iterator: increment | |
226 | NextPartnerSelected(); | |
227 | if (!Partner()) { | |
228 | NextMuonSelected(); | |
229 | FirstPartnerSelected(); | |
230 | } | |
3b467544 | 231 | muon1 = fMuon1; |
232 | muon2 = fMuon2; | |
f87cfe57 | 233 | } |
234 | ||
dafbc1c5 | 235 | void AliDimuCombinator::ResetRange() |
fe4da5cc | 236 | { |
f87cfe57 | 237 | // Reset index ranges for single muons |
3b467544 | 238 | fImin1 = fImin2 = 0; |
239 | fImax1 = fImax2 = fNParticle; | |
fe4da5cc | 240 | } |
241 | ||
dafbc1c5 | 242 | void AliDimuCombinator::SetFirstRange(Int_t from, Int_t to) |
fe4da5cc | 243 | { |
f87cfe57 | 244 | // Reset index range for first muon |
3b467544 | 245 | fImin1 = from; |
246 | fImax1 = to; | |
247 | if (fImax1 > fNParticle) fImax1 = fNParticle; | |
fe4da5cc | 248 | } |
249 | ||
dafbc1c5 | 250 | void AliDimuCombinator::SetSecondRange(Int_t from, Int_t to) |
fe4da5cc | 251 | { |
f87cfe57 | 252 | // Reset index range for second muon |
3b467544 | 253 | fImin2 = from; |
254 | fImax2 = to; | |
255 | if (fImax2 > fNParticle) fImax2 = fNParticle; | |
fe4da5cc | 256 | } |
257 | // | |
258 | // Selection | |
259 | // | |
260 | ||
8caed1f4 | 261 | Bool_t AliDimuCombinator::Selected(TParticle* part) const |
fe4da5cc | 262 | { |
f87cfe57 | 263 | // Selection cut for single muon |
fe4da5cc | 264 | // |
3b467544 | 265 | if (part == 0) {return 0;} |
fe4da5cc | 266 | |
3b467544 | 267 | if (part->Pt() > fPtMin && part->Eta() > fEtaMin && part->Eta() < fEtaMax) { |
fe4da5cc | 268 | return 1; |
269 | } else { | |
270 | return 0; | |
271 | } | |
fe4da5cc | 272 | } |
273 | ||
8caed1f4 | 274 | Bool_t AliDimuCombinator::Selected(TParticle* part1, TParticle* part2) const |
fe4da5cc | 275 | { |
f87cfe57 | 276 | // Selection cut for dimuons |
277 | // | |
fe4da5cc | 278 | return Selected(part1)*Selected(part2); |
279 | } | |
280 | // | |
281 | // Kinematics | |
282 | // | |
8caed1f4 | 283 | Float_t AliDimuCombinator::Mass(TParticle* part1, TParticle* part2) const |
fe4da5cc | 284 | { |
f87cfe57 | 285 | // Invariant mass |
286 | // | |
fe4da5cc | 287 | Float_t px,py,pz,e; |
3b467544 | 288 | px = part1->Px()+part2->Px(); |
289 | py = part1->Py()+part2->Py(); | |
290 | pz = part1->Pz()+part2->Pz(); | |
291 | e = part1->Energy()+part2->Energy(); | |
292 | Float_t p = px*px+py*py+pz*pz; | |
fe4da5cc | 293 | if (e*e < p) { |
294 | return -1; | |
295 | } else { | |
296 | return TMath::Sqrt(e*e-p); | |
297 | } | |
298 | } | |
299 | ||
8caed1f4 | 300 | Float_t AliDimuCombinator::PT(TParticle* part1, TParticle* part2) const |
fe4da5cc | 301 | { |
f87cfe57 | 302 | // Transverse momentum of dimuons |
303 | // | |
fe4da5cc | 304 | Float_t px,py; |
3b467544 | 305 | px = part1->Px()+part2->Px(); |
306 | py = part1->Py()+part2->Py(); | |
fe4da5cc | 307 | return TMath::Sqrt(px*px+py*py); |
308 | } | |
309 | ||
8caed1f4 | 310 | Float_t AliDimuCombinator::Pz(TParticle* part1, TParticle* part2) const |
fe4da5cc | 311 | { |
f87cfe57 | 312 | // Pz of dimuon system |
313 | // | |
1578254f | 314 | return part1->Pz()+part2->Pz(); |
fe4da5cc | 315 | } |
316 | ||
8caed1f4 | 317 | Float_t AliDimuCombinator::Y(TParticle* part1, TParticle* part2) const |
fe4da5cc | 318 | { |
f87cfe57 | 319 | // Rapidity of dimuon system |
320 | // | |
fe4da5cc | 321 | Float_t pz,e; |
3b467544 | 322 | pz = part1->Pz()+part2->Pz(); |
323 | e = part1->Energy()+part2->Energy(); | |
fe4da5cc | 324 | return 0.5*TMath::Log((e+pz)/(e-pz)); |
325 | } | |
326 | // Response | |
327 | // | |
8caed1f4 | 328 | void AliDimuCombinator::SmearGauss(Float_t width, Float_t & value) const |
fe4da5cc | 329 | { |
f87cfe57 | 330 | // Apply gaussian smearing |
331 | // | |
fe4da5cc | 332 | value+=gRandom->Gaus(0, width); |
333 | } | |
334 | // Weighting | |
335 | // | |
336 | ||
8caed1f4 | 337 | Float_t AliDimuCombinator::DecayProbability(TParticle* part) const |
fe4da5cc | 338 | { |
f87cfe57 | 339 | // Calculate decay probability for muons from pion and kaon decays |
340 | // | |
8e697b5c | 341 | |
f87cfe57 | 342 | Float_t d, h, theta, cTau; |
1578254f | 343 | TParticle* parent = Parent(part); |
3b467544 | 344 | Int_t ipar = Type(parent); |
345 | if (ipar == kPiPlus || ipar == kPiMinus) { | |
f87cfe57 | 346 | cTau=780.4; |
3b467544 | 347 | } else if (ipar == kKPlus || ipar == kKMinus) { |
348 | cTau = 370.9; | |
7d566a7d | 349 | } else { |
3b467544 | 350 | cTau = 0; |
7d566a7d | 351 | } |
352 | ||
353 | ||
f87cfe57 | 354 | Float_t gammaBeta=(parent->P())/(parent->GetMass()); |
7d566a7d | 355 | // |
356 | // this part is still very ALICE muon-arm specific | |
357 | // | |
8e697b5c | 358 | |
359 | ||
3b467544 | 360 | theta = parent->Theta(); |
361 | h = 90*TMath::Tan(theta); | |
7d566a7d | 362 | |
363 | if (h<4) { | |
364 | d=4/TMath::Sin(theta); | |
fe4da5cc | 365 | } else { |
7d566a7d | 366 | d=90/TMath::Cos(theta); |
367 | } | |
368 | ||
f87cfe57 | 369 | if (cTau > 0) { |
370 | return 1-TMath::Exp(-d/cTau/gammaBeta); | |
7d566a7d | 371 | } else { |
372 | return 1; | |
fe4da5cc | 373 | } |
374 | } | |
375 | ||
8e697b5c | 376 | //Begin_Html |
377 | /* | |
378 | <p> In the the code above : | |
379 | <P>If h is less than 4 cm, pions or kaons go in the beam pipe and can have a long way | |
380 | <BR>If h is greater than 4 cm, pions or kaons crash into the front absorber | |
381 | <P><IMG SRC="absorbeur.jpg" HEIGHT=292 WIDTH=819> | |
382 | */ | |
383 | //End_Html | |
384 | ||
385 | ||
8caed1f4 | 386 | Float_t AliDimuCombinator::Weight(TParticle* part1, TParticle* part2) const |
7d566a7d | 387 | { |
f87cfe57 | 388 | // Dimuon weight |
389 | ||
3b467544 | 390 | Float_t wgt = (part1->GetWeight())*(part2->GetWeight()); |
7d566a7d | 391 | |
392 | if (Correlated(part1, part2)) { | |
90eb4540 | 393 | if ( part1->GetFirstMother() == part2->GetFirstMother()) { |
394 | return part1->GetWeight()*fRate1; | |
395 | } else { | |
396 | return wgt/(Parent(part1)->GetWeight())*fRate1; | |
397 | } | |
7d566a7d | 398 | } else { |
399 | return wgt*fRate1*fRate2; | |
400 | } | |
401 | } | |
402 | ||
8e697b5c | 403 | //Begin_Html |
404 | /* | |
405 | <p>Some clarifications on the calculation of the dimuons weight : | |
406 | <P>We must keep in mind that if we force the meson decay in muons and we put | |
407 | lot of mesons (J/psi, upsilon, ...) to have a good statistic we are | |
408 | obliged to calculate different weights to correct the number | |
409 | of muons | |
410 | <BR> | |
411 | <P>First --> | |
412 | <BR>The particle weight is given by w=R*M*Br | |
413 | <BR> with : | |
414 | <UL>R = the rate by event. This number gives the number | |
415 | of produced J/psi, upsilon, pion ... in a collision. | |
416 | <BR>It corresponds of the weight 0.06 given for example in gener->AddGenerator(jpsi,"J/Psi", | |
417 | 0.06); from the config.C macro. | |
418 | <BR>In this example R=0.06 | |
419 | ||
420 | <P>M = the rate of the mother production. This number depend on : | |
421 | <BR> - the number of generated events --> fParentWeight=1./Float_t(fNpart) in AliGenPythia.cxx . This | |
422 | is a normalization to 1 of the number of generated particles. | |
423 | <BR> - the kinematic bias coming | |
424 | from the y and Pt cuts. Method AliGenPythia::AdjustWeights() in AliGenPythia.cxx | |
425 | <BR>(in AliGenParam.cxx this 2 things are taken into account in fParentWeight | |
426 | = fYWgt*fPtWgt*phiWgt/fNpart ) | |
427 | ||
428 | <P>Br = the branching ratio in muon from the mother decay</UL> | |
429 | ||
430 | <P><BR>In this method, part->GetWeight() = M*Br | |
431 | <UL> </UL> | |
432 | Next --> | |
433 | <BR>The weight of the dimuon depends on the correlation between muons | |
434 | <BR> | |
435 | <UL>If the muons are correlated and come from a resonance (for example | |
436 | J/psi -> mu+ mu-) , the weight of the dimuon is the weight of one muon then | |
437 | <BR>w12= R*M*Br = w1* R1 (in this method this gives part1->GetWeight()*fRate1) | |
438 | ||
439 | <P>If the muons are correlated and come from a charm or a bottom pair then | |
440 | w12 = M*R*Br1*Br2 = w1*w2*R1/M1 | |
441 | <BR>(in this method this gives wgt/(Parent(part1)->GetWeight())*fRate1). | |
442 | Indeed the 2 muons come from the same mother so the | |
443 | <BR>weight of a DD~ or BB~ is M*Br and they are no correlation in the decay | |
444 | (Br1*Br2) | |
445 | ||
446 | <P>If the muons are not correlated w12 = M1*M2*R1*R2*Br1*Br2 = w1*w2*R1*R2 | |
447 | (in this method this gives wgt*fRate1*fRate2) | |
448 | <BR> </UL> | |
449 | */ | |
450 | //End_Html | |
451 | ||
7d566a7d | 452 | |
8caed1f4 | 453 | Float_t AliDimuCombinator::Weight(TParticle* part) const |
fe4da5cc | 454 | { |
f87cfe57 | 455 | // Single muon weight |
1578254f | 456 | return (part->GetWeight())*(Parent(part)->GetWeight())*fRate1; |
7d566a7d | 457 | } |
f87cfe57 | 458 | |
8caed1f4 | 459 | Bool_t AliDimuCombinator::Correlated(TParticle* part1, TParticle* part2) const |
7d566a7d | 460 | { |
f87cfe57 | 461 | // Check if muons are correlated |
462 | // | |
90eb4540 | 463 | if ((Origin(part1) >= 0) && Origin(part1) == Origin(part2)) { |
8caed1f4 | 464 | |
7d566a7d | 465 | return kTRUE; |
466 | } else { | |
467 | return kFALSE; | |
468 | } | |
469 | } | |
1578254f | 470 | |
8caed1f4 | 471 | TParticle* AliDimuCombinator::Parent(TParticle* part) const |
7d566a7d | 472 | { |
f87cfe57 | 473 | // Return pointer to parent |
474 | // | |
3b467544 | 475 | return Particle(part->GetFirstMother()); |
7d566a7d | 476 | } |
477 | ||
8caed1f4 | 478 | Int_t AliDimuCombinator::Origin(TParticle* part) const |
7d566a7d | 479 | { |
f87cfe57 | 480 | // Return pointer to primary particle |
481 | // | |
1578254f | 482 | Int_t iparent= part->GetFirstMother(); |
7d566a7d | 483 | if (iparent < 0) return iparent; |
484 | Int_t ip; | |
485 | while(1) { | |
3b467544 | 486 | ip = (Particle(iparent))->GetFirstMother(); |
7d566a7d | 487 | if (ip < 0) { |
488 | break; | |
489 | } else { | |
3b467544 | 490 | iparent = ip; |
7d566a7d | 491 | } |
492 | } | |
493 | return iparent; | |
fe4da5cc | 494 | } |
495 | ||
8caed1f4 | 496 | Int_t AliDimuCombinator::Type(TParticle *part) const |
d430df3f | 497 | { |
498 | // Return particle type for | |
499 | return part->GetPdgCode(); | |
500 | } | |
501 | ||
f87cfe57 | 502 | AliDimuCombinator& AliDimuCombinator::operator=(const AliDimuCombinator& rhs) |
503 | { | |
504 | // Assignment operator | |
198bb1c7 | 505 | rhs.Copy(*this); |
f87cfe57 | 506 | return *this; |
507 | } | |
508 | ||
509 | ||
dc1d768c | 510 | void AliDimuCombinator::Copy(TObject&) const |
675e9664 | 511 | { |
512 | // | |
198bb1c7 | 513 | // Copy |
675e9664 | 514 | // |
515 | Fatal("Copy","Not implemented!\n"); | |
516 | } | |
f87cfe57 | 517 | |
518 | ||
519 | ||
520 | ||
521 |