]>
Commit | Line | Data |
---|---|---|
5b3a5a5d | 1 | /************************************************************************** |
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 | /* $Id$ */ |
041f7f97 | 17 | // |
65aa45f2 | 18 | // Utility class to make simple Glauber type calculations |
19 | // for SYMMTRIC collision geometries (AA): | |
041f7f97 | 20 | // Impact parameter, production points, reaction plane dependence |
65aa45f2 | 21 | // |
041f7f97 | 22 | // The SimulateTrigger method can be used for simple MB and hard-process |
23 | // (binary scaling) trigger studies. | |
65aa45f2 | 24 | // |
041f7f97 | 25 | // Some basic quantities can be visualized directly. |
041f7f97 | 26 | // |
65aa45f2 | 27 | // The default set-up for PbPb or AUAu collisions can be read from a file |
28 | // calling Init(1) or Init(2) if you want to read Almonds too. | |
29 | // | |
30 | // ***** If you change settings dont forget to call init afterwards, ***** | |
31 | // ***** in order to update the formulas with the new parameters. ***** | |
041f7f97 | 32 | // |
33 | // Author: andreas.morsch@cern.ch | |
65aa45f2 | 34 | //=================== Added by A. Dainese 11/02/04 =========================== |
35 | // Calculate path length for a parton with production point (x0,y0) | |
36 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
37 | // in a collision with impact parameter b and functions that make use | |
38 | // of it. | |
39 | //=================== Added by A. Dainese 05/03/04 =========================== | |
40 | // Calculation of line integrals I0 and I1 | |
41 | // integral0 = \int_0^ellCut dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
42 | // integral1 = \int_0^ellCut dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
43 | // mostly for use in the Quenching class | |
44 | //=================== Added by C. Loizdes 27/03/04 =========================== | |
45 | // Handling of AuAu collisions | |
46 | // More get/set functions | |
47 | // Comments, units and clearing of code | |
48 | // | |
5b3a5a5d | 49 | |
50 | // from AliRoot | |
51 | #include "AliFastGlauber.h" | |
52 | // from root | |
a2f2f511 | 53 | #include <TStyle.h> |
5b3a5a5d | 54 | #include <TH1F.h> |
a2f2f511 | 55 | #include <TH2F.h> |
5b3a5a5d | 56 | #include <TF1.h> |
57 | #include <TF2.h> | |
65aa45f2 | 58 | #include <TLegend.h> |
5b3a5a5d | 59 | #include <TCanvas.h> |
60 | #include <TRandom.h> | |
61 | #include <TFile.h> | |
65aa45f2 | 62 | #include <TROOT.h> |
63 | #include <Riostream.h> | |
5b3a5a5d | 64 | |
65 | ClassImp(AliFastGlauber) | |
66 | ||
65aa45f2 | 67 | Float_t AliFastGlauber::fgBMax = 0.; |
041f7f97 | 68 | TF1* AliFastGlauber::fgWSb = NULL; |
69 | TF2* AliFastGlauber::fgWSbz = NULL; | |
70 | TF1* AliFastGlauber::fgWSz = NULL; | |
71 | TF1* AliFastGlauber::fgWSta = NULL; | |
72 | TF2* AliFastGlauber::fgWStarfi = NULL; | |
73 | TF2* AliFastGlauber::fgWAlmond = NULL; | |
74 | TF1* AliFastGlauber::fgWStaa = NULL; | |
75 | TF1* AliFastGlauber::fgWSgeo = NULL; | |
76 | TF1* AliFastGlauber::fgWSbinary = NULL; | |
77 | TF1* AliFastGlauber::fgWSN = NULL; | |
78 | TF1* AliFastGlauber::fgWPathLength0 = NULL; | |
79 | TF1* AliFastGlauber::fgWPathLength = NULL; | |
80 | TF1* AliFastGlauber::fgWEnergyDensity = NULL; | |
81 | TF1* AliFastGlauber::fgWIntRadius = NULL; | |
1bc228f5 | 82 | TF2* AliFastGlauber::fgWKParticipants = NULL; |
83 | TF1* AliFastGlauber::fgWParticipants = NULL; | |
65aa45f2 | 84 | TF2* AliFastGlauber::fgWAlmondCurrent = NULL; |
85 | TF2 AliFastGlauber::fgWAlmondFixedB[40]; | |
86 | const Int_t AliFastGlauber::fgkMCInts = 100000; | |
87 | Int_t AliFastGlauber::fgCounter = 0; | |
5b3a5a5d | 88 | |
65aa45f2 | 89 | AliFastGlauber::AliFastGlauber() : fName() |
5b3a5a5d | 90 | { |
65aa45f2 | 91 | // Default Constructor |
92 | // | |
93 | fgCounter++; | |
94 | if(fgCounter>1) | |
95 | Error("AliFastGlauber","More than more instance (%d) is not supported, check your code!",fgCounter); | |
96 | ||
97 | // Defaults for Pb | |
98 | SetMaxImpact(); | |
99 | SetLengthDefinition(); | |
100 | SetPbPbLHC(); | |
101 | } | |
102 | ||
103 | AliFastGlauber::~AliFastGlauber() | |
104 | { | |
105 | fgCounter--; | |
710a8d90 | 106 | //if(fgCounter==0) Reset(); |
65aa45f2 | 107 | } |
108 | ||
109 | void AliFastGlauber::SetAuAuRhic() | |
110 | { | |
111 | //Set all parameters for RHIC | |
112 | SetWoodSaxonParametersAu(); | |
113 | SetHardCrossSection(); | |
710a8d90 | 114 | SetNNCrossSection(42); |
65aa45f2 | 115 | SetNucleus(197); |
116 | SetFileName("$(ALICE_ROOT)/FASTSIM/data/glauberAuAu.root"); | |
117 | } | |
118 | ||
119 | void AliFastGlauber::SetPbPbLHC() | |
120 | { | |
121 | //Set all parameters for LHC | |
122 | SetWoodSaxonParametersPb(); | |
123 | SetHardCrossSection(); | |
124 | SetNNCrossSection(); | |
125 | SetNucleus(); | |
126 | SetFileName(); | |
5b3a5a5d | 127 | } |
128 | ||
129 | void AliFastGlauber::Init(Int_t mode) | |
130 | { | |
65aa45f2 | 131 | // Initialisation |
132 | // mode = 0; all functions are calculated | |
133 | // mode = 1; overlap function is read from file (for Pb-Pb only) | |
134 | // mode = 2; interaction almond functions are read from file | |
135 | // USE THIS FOR PATH LENGTH CALC.! | |
136 | // | |
a2f2f511 | 137 | |
65aa45f2 | 138 | // |
139 | Reset(); | |
140 | // | |
5b3a5a5d | 141 | |
65aa45f2 | 142 | // |
143 | // Wood-Saxon | |
144 | // | |
145 | fgWSb = new TF1("WSb", WSb, 0, fgBMax, 4); | |
146 | fgWSb->SetParameter(0, fWSr0); | |
147 | fgWSb->SetParameter(1, fWSd); | |
148 | fgWSb->SetParameter(2, fWSw); | |
149 | fgWSb->SetParameter(3, fWSn); | |
150 | ||
151 | fgWSbz = new TF2("WSbz", WSbz, 0, fgBMax, 4); | |
152 | fgWSbz->SetParameter(0, fWSr0); | |
153 | fgWSbz->SetParameter(1, fWSd); | |
154 | fgWSbz->SetParameter(2, fWSw); | |
155 | fgWSbz->SetParameter(3, fWSn); | |
156 | ||
157 | fgWSz = new TF1("WSz", WSz, 0, fgBMax, 5); | |
158 | fgWSz->SetParameter(0, fWSr0); | |
159 | fgWSz->SetParameter(1, fWSd); | |
160 | fgWSz->SetParameter(2, fWSw); | |
161 | fgWSz->SetParameter(3, fWSn); | |
162 | ||
163 | // | |
164 | // Thickness | |
165 | // | |
166 | fgWSta = new TF1("WSta", WSta, 0., fgBMax, 0); | |
5b3a5a5d | 167 | |
65aa45f2 | 168 | // |
169 | // Overlap Kernel | |
170 | // | |
171 | fgWStarfi = new TF2("WStarfi", WStarfi, 0., fgBMax, 0., TMath::Pi(), 1); | |
172 | fgWStarfi->SetParameter(0, 0.); | |
173 | fgWStarfi->SetNpx(200); | |
174 | fgWStarfi->SetNpy(20); | |
8de7e046 | 175 | |
65aa45f2 | 176 | // |
177 | // Participants Kernel | |
178 | // | |
179 | fgWKParticipants = new TF2("WKParticipants", WKParticipants, 0., fgBMax, 0., TMath::Pi(), 3); | |
180 | fgWKParticipants->SetParameter(0, 0.); | |
181 | fgWKParticipants->SetParameter(1, fSigmaNN); | |
182 | fgWKParticipants->SetParameter(2, fA); | |
183 | fgWKParticipants->SetNpx(200); | |
184 | fgWKParticipants->SetNpy(20); | |
f3a04204 | 185 | |
65aa45f2 | 186 | // |
187 | // Overlap and Participants | |
188 | // | |
189 | if (!mode) { | |
190 | fgWStaa = new TF1("WStaa", WStaa, 0., fgBMax, 1); | |
191 | fgWStaa->SetNpx(100); | |
192 | fgWStaa->SetParameter(0,fA); | |
193 | fgWStaa->SetNpx(100); | |
194 | fgWParticipants = new TF1("WParticipants", WParticipants, 0., fgBMax, 2); | |
195 | fgWParticipants->SetParameter(0, fSigmaNN); | |
196 | fgWParticipants->SetParameter(1, fA); | |
197 | fgWParticipants->SetNpx(100); | |
198 | } else { | |
199 | Info("Init","Reading overlap function from file %s",fName.Data()); | |
200 | TFile* f = new TFile(fName.Data()); | |
201 | if(!f->IsOpen()){ | |
202 | Fatal("Init", "Could not open file %s",fName.Data()); | |
203 | } | |
204 | fgWStaa = (TF1*) f->Get("WStaa"); | |
205 | fgWParticipants = (TF1*) f->Get("WParticipants"); | |
206 | delete f; | |
207 | } | |
2a103154 | 208 | |
65aa45f2 | 209 | // |
210 | // Energy Density | |
211 | // | |
212 | fgWEnergyDensity = new TF1("WEnergyDensity", WEnergyDensity, 0., 2. * fWSr0, 1); | |
213 | fgWEnergyDensity->SetParameter(0, fWSr0 + 1.); | |
214 | ||
215 | // | |
216 | // Geometrical Cross-Section | |
217 | // | |
218 | fgWSgeo = new TF1("WSgeo", WSgeo, 0., fgBMax, 1); | |
219 | fgWSgeo->SetParameter(0,fSigmaNN); //mbarn | |
220 | fgWSgeo->SetNpx(100); | |
2a103154 | 221 | |
65aa45f2 | 222 | // |
223 | // Hard cross section (binary collisions) | |
224 | // | |
225 | fgWSbinary = new TF1("WSbinary", WSbinary, 0., fgBMax, 1); | |
226 | fgWSbinary->SetParameter(0, fSigmaHard); //mbarn | |
227 | fgWSbinary->SetNpx(100); | |
1bc228f5 | 228 | |
65aa45f2 | 229 | // |
230 | // Hard collisions per event | |
231 | // | |
232 | fgWSN = new TF1("WSN", WSN, 0., fgBMax, 1); | |
233 | fgWSN->SetNpx(100); | |
234 | ||
235 | // | |
236 | // Almond shaped interaction region | |
237 | // | |
238 | fgWAlmond = new TF2("WAlmond", WAlmond, -fgBMax, fgBMax, -fgBMax, fgBMax, 1); | |
239 | fgWAlmond->SetParameter(0, 0.); | |
240 | fgWAlmond->SetNpx(200); | |
241 | fgWAlmond->SetNpy(200); | |
242 | ||
243 | if(mode==2) { | |
244 | Info("Init","Reading interaction almonds from file: %s",fName.Data()); | |
245 | Char_t almondName[100]; | |
246 | TFile* ff = new TFile(fName.Data()); | |
247 | for(Int_t k=0; k<40; k++) { | |
248 | sprintf(almondName,"WAlmondFixedB%d",k); | |
249 | fgWAlmondCurrent = (TF2*)ff->Get(almondName); | |
250 | new(&fgWAlmondFixedB[k]) TF2(*fgWAlmondCurrent); | |
5b3a5a5d | 251 | } |
65aa45f2 | 252 | delete ff; |
253 | } | |
254 | ||
255 | fgWIntRadius = new TF1("WIntRadius", WIntRadius, 0., fgBMax, 1); | |
256 | fgWIntRadius->SetParameter(0, 0.); | |
257 | ||
258 | // | |
259 | // Path Length as a function of Phi | |
260 | // | |
261 | fgWPathLength0 = new TF1("WPathLength0", WPathLength0, -TMath::Pi(), TMath::Pi(), 2); | |
262 | fgWPathLength0->SetParameter(0, 0.); | |
263 | fgWPathLength0->SetParameter(1, 0.); //Pathlength definition | |
264 | ||
265 | fgWPathLength = new TF1("WPathLength", WPathLength, -TMath::Pi(), TMath::Pi(), 3); | |
266 | fgWPathLength->SetParameter(0, 0.); //Impact Parameter | |
267 | fgWPathLength->SetParameter(1, 1000.); //Number of interactions used for average | |
268 | fgWPathLength->SetParameter(2, 0); //Pathlength definition | |
269 | } | |
270 | ||
271 | void AliFastGlauber::Reset() | |
272 | { | |
273 | // | |
274 | // Reset dynamic allocated formulas | |
275 | // in case init is called twice | |
276 | ||
277 | if(fgWSb) delete fgWSb; | |
278 | if(fgWSbz) delete fgWSbz; | |
279 | if(fgWSz) delete fgWSz; | |
280 | if(fgWSta) delete fgWSta; | |
281 | if(fgWStarfi) delete fgWStarfi; | |
282 | if(fgWAlmond) delete fgWAlmond; | |
283 | if(fgWStaa) delete fgWStaa; | |
284 | if(fgWSgeo) delete fgWSgeo; | |
285 | if(fgWSbinary) delete fgWSbinary; | |
286 | if(fgWSN) delete fgWSN; | |
287 | if(fgWPathLength0) delete fgWPathLength0; | |
288 | if(fgWPathLength) delete fgWPathLength; | |
289 | if(fgWEnergyDensity) delete fgWEnergyDensity; | |
290 | if(fgWIntRadius) delete fgWIntRadius; | |
291 | if(fgWKParticipants) delete fgWKParticipants; | |
292 | if(fgWParticipants) delete fgWParticipants; | |
5b3a5a5d | 293 | } |
294 | ||
710a8d90 | 295 | void AliFastGlauber::DrawWSb() const |
5b3a5a5d | 296 | { |
65aa45f2 | 297 | // |
298 | // Draw Wood-Saxon Nuclear Density Function | |
299 | // | |
300 | TCanvas *c1 = new TCanvas("c1","Wood Saxon",400,10,600,700); | |
301 | c1->cd(); | |
302 | Double_t max=fgWSb->GetMaximum(0,fgBMax)*1.01; | |
303 | TH2F *h2f=new TH2F("h2fwsb","Wood Saxon: #rho(r) = n (1-#omega(r/r_{0})^2)/(1+exp((r-r_{0})/d)) [fm^{-3}]",2,0,fgBMax,2,0,max); | |
304 | h2f->SetStats(0); | |
305 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
306 | h2f->GetYaxis()->SetNoExponent(kTRUE); | |
307 | h2f->GetYaxis()->SetTitle("#rho [fm^{-3}]"); | |
308 | h2f->Draw(); | |
309 | fgWSb->Draw("same"); | |
310 | TLegend *l1a = new TLegend(0.45,0.6,.90,0.8); | |
311 | l1a->SetFillStyle(0); | |
312 | l1a->SetBorderSize(0); | |
313 | Char_t label[100]; | |
314 | sprintf(label,"r_{0} = %.2f fm",fWSr0); | |
315 | l1a->AddEntry(fgWSb,label,""); | |
316 | sprintf(label,"d = %.2f fm",fWSd); | |
317 | l1a->AddEntry(fgWSb,label,""); | |
318 | sprintf(label,"n = %.2e fm^{-3}",fWSn); | |
319 | l1a->AddEntry(fgWSb,label,""); | |
320 | sprintf(label,"#omega = %.2f",fWSw); | |
321 | l1a->AddEntry(fgWSb,label,""); | |
322 | l1a->Draw(); | |
323 | c1->Update(); | |
5b3a5a5d | 324 | } |
325 | ||
710a8d90 | 326 | void AliFastGlauber::DrawOverlap() const |
5b3a5a5d | 327 | { |
65aa45f2 | 328 | // |
329 | // Draw Overlap Function | |
330 | // | |
331 | TCanvas *c2 = new TCanvas("c2","Overlap",400,10,600,700); | |
332 | c2->cd(); | |
333 | Double_t max=fgWStaa->GetMaximum(0,fgBMax)*1.01; | |
334 | TH2F *h2f=new TH2F("h2ftaa","Overlap function: T_{AB} [mbarn^{-1}]",2,0,fgBMax,2,0,max); | |
335 | h2f->SetStats(0); | |
336 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
337 | h2f->GetYaxis()->SetTitle("T_{AB} [mbarn^{-1}]"); | |
338 | h2f->Draw(); | |
339 | fgWStaa->Draw("same"); | |
5b3a5a5d | 340 | } |
341 | ||
710a8d90 | 342 | void AliFastGlauber::DrawParticipants() const |
1bc228f5 | 343 | { |
65aa45f2 | 344 | // |
345 | // Draw Number of Participants Npart | |
346 | // | |
347 | TCanvas *c3 = new TCanvas("c3","Participants",400,10,600,700); | |
348 | c3->cd(); | |
349 | Double_t max=fgWParticipants->GetMaximum(0,fgBMax)*1.01; | |
350 | TH2F *h2f=new TH2F("h2fpart","Number of Participants",2,0,fgBMax,2,0,max); | |
351 | h2f->SetStats(0); | |
352 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
353 | h2f->GetYaxis()->SetTitle("N_{part}"); | |
354 | h2f->Draw(); | |
355 | fgWParticipants->Draw("same"); | |
356 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
357 | l1a->SetFillStyle(0); | |
358 | l1a->SetBorderSize(0); | |
359 | Char_t label[100]; | |
360 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
361 | l1a->AddEntry(fgWParticipants,label,""); | |
362 | l1a->Draw(); | |
363 | c3->Update(); | |
1bc228f5 | 364 | } |
365 | ||
710a8d90 | 366 | void AliFastGlauber::DrawThickness() const |
5b3a5a5d | 367 | { |
65aa45f2 | 368 | // |
369 | // Draw Thickness Function | |
370 | // | |
371 | TCanvas *c4 = new TCanvas("c4","Thickness",400,10,600,700); | |
372 | c4->cd(); | |
373 | Double_t max=fgWSta->GetMaximum(0,fgBMax)*1.01; | |
374 | TH2F *h2f=new TH2F("h2fta","Thickness function: T_{A} [fm^{-2}]",2,0,fgBMax,2,0,max); | |
375 | h2f->SetStats(0); | |
376 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
377 | h2f->GetYaxis()->SetTitle("T_{A} [fm^{-2}]"); | |
378 | h2f->Draw(); | |
379 | fgWSta->Draw("same"); | |
5b3a5a5d | 380 | } |
381 | ||
710a8d90 | 382 | void AliFastGlauber::DrawGeo() const |
5b3a5a5d | 383 | { |
65aa45f2 | 384 | // |
385 | // Draw Geometrical Cross-Section | |
386 | // | |
387 | TCanvas *c5 = new TCanvas("c5","Geometrical Cross-Section",400,10,600,700); | |
388 | c5->cd(); | |
389 | Double_t max=fgWSgeo->GetMaximum(0,fgBMax)*1.01; | |
390 | TH2F *h2f=new TH2F("h2fgeo","Differential Geometrical Cross-Section: d#sigma^{geo}_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
391 | h2f->SetStats(0); | |
392 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
393 | h2f->GetYaxis()->SetTitle("d#sigma^{geo}_{AB}/db [fm]"); | |
394 | h2f->Draw(); | |
395 | fgWSgeo->Draw("same"); | |
396 | TLegend *l1a = new TLegend(0.10,0.8,.40,0.9); | |
397 | l1a->SetFillStyle(0); | |
398 | l1a->SetBorderSize(0); | |
399 | Char_t label[100]; | |
400 | sprintf(label,"#sigma_{NN}^{inel.} = %.1f mbarn",fSigmaNN); | |
401 | l1a->AddEntry(fgWSgeo,label,""); | |
402 | l1a->Draw(); | |
403 | c5->Update(); | |
5b3a5a5d | 404 | } |
405 | ||
710a8d90 | 406 | void AliFastGlauber::DrawBinary() const |
5b3a5a5d | 407 | { |
65aa45f2 | 408 | // |
409 | // Draw Binary Cross-Section | |
410 | // | |
411 | TCanvas *c6 = new TCanvas("c6","Binary Cross-Section",400,10,600,700); | |
412 | c6->cd(); | |
413 | Double_t max=fgWSbinary->GetMaximum(0,fgBMax)*1.01; | |
414 | TH2F *h2f=new TH2F("h2fbinary","Differential Binary Cross-Section: #sigma^{hard}_{NN} dT_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
415 | h2f->SetStats(0); | |
416 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
417 | h2f->GetYaxis()->SetTitle("d#sigma^{hard}_{AB}/db [fm]"); | |
418 | h2f->Draw(); | |
419 | fgWSbinary->Draw("same"); | |
420 | TLegend *l1a = new TLegend(0.50,0.8,.90,0.9); | |
421 | l1a->SetFillStyle(0); | |
422 | l1a->SetBorderSize(0); | |
423 | Char_t label[100]; | |
424 | sprintf(label,"#sigma_{NN}^{hard} = %.1f mbarn",fSigmaHard); | |
425 | l1a->AddEntry(fgWSb,label,""); | |
426 | l1a->Draw(); | |
427 | c6->Update(); | |
5b3a5a5d | 428 | } |
429 | ||
710a8d90 | 430 | void AliFastGlauber::DrawN() const |
5b3a5a5d | 431 | { |
65aa45f2 | 432 | // |
433 | // Draw Binaries per event (Ncoll) | |
434 | // | |
435 | TCanvas *c7 = new TCanvas("c7","Binaries per event",400,10,600,700); | |
436 | c7->cd(); | |
437 | Double_t max=fgWSN->GetMaximum(0,fgBMax)*1.01; | |
438 | TH2F *h2f=new TH2F("h2fhardcols","Number of hard collisions: T_{AB} #sigma^{hard}_{NN}/#sigma_{AB}^{geo}",2,0,fgBMax,2,0,max); | |
439 | h2f->SetStats(0); | |
440 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
441 | h2f->GetYaxis()->SetTitle("N_{coll}"); | |
442 | h2f->Draw(); | |
443 | fgWSN->Draw("same"); | |
444 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
445 | l1a->SetFillStyle(0); | |
446 | l1a->SetBorderSize(0); | |
447 | Char_t label[100]; | |
448 | sprintf(label,"#sigma^{hard}_{NN} = %.1f mbarn",fSigmaHard); | |
449 | l1a->AddEntry(fgWSN,label,""); | |
450 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
451 | l1a->AddEntry(fgWSN,label,""); | |
452 | l1a->Draw(); | |
453 | c7->Update(); | |
5b3a5a5d | 454 | } |
455 | ||
710a8d90 | 456 | void AliFastGlauber::DrawKernel(Double_t b) const |
5b3a5a5d | 457 | { |
65aa45f2 | 458 | // |
459 | // Draw Kernel | |
460 | // | |
461 | TCanvas *c8 = new TCanvas("c8","Kernel",400,10,600,700); | |
462 | c8->cd(); | |
463 | fgWStarfi->SetParameter(0, b); | |
464 | TH2F *h2f=new TH2F("h2fkernel","Kernel of Overlap function: d^{2}T_{AB}/dr/d#phi [fm^{-3}]",2,0,fgBMax,2,0,TMath::Pi()); | |
465 | h2f->SetStats(0); | |
466 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
467 | h2f->GetYaxis()->SetTitle("#phi [rad]"); | |
468 | h2f->Draw(); | |
469 | fgWStarfi->Draw("same"); | |
470 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
471 | l1a->SetFillStyle(0); | |
472 | l1a->SetBorderSize(0); | |
473 | Char_t label[100]; | |
a0e187b1 | 474 | sprintf(label,"b = %.1f fm",b); |
65aa45f2 | 475 | l1a->AddEntry(fgWStarfi,label,""); |
476 | l1a->Draw(); | |
477 | c8->Update(); | |
5b3a5a5d | 478 | } |
479 | ||
710a8d90 | 480 | void AliFastGlauber::DrawAlmond(Double_t b) const |
f3a04204 | 481 | { |
65aa45f2 | 482 | // |
483 | // Draw Interaction Almond | |
484 | // | |
485 | TCanvas *c9 = new TCanvas("c9","Almond",400,10,600,700); | |
486 | c9->cd(); | |
487 | fgWAlmond->SetParameter(0, b); | |
488 | TH2F *h2f=new TH2F("h2falmond","Interaction Almond [fm^{-4}]",2,0,fgBMax,2,0,fgBMax); | |
489 | h2f->SetStats(0); | |
490 | h2f->GetXaxis()->SetTitle("x [fm]"); | |
491 | h2f->GetYaxis()->SetTitle("y [fm]"); | |
492 | h2f->Draw(); | |
493 | fgWAlmond->Draw("same"); | |
494 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
495 | l1a->SetFillStyle(0); | |
496 | l1a->SetBorderSize(0); | |
497 | Char_t label[100]; | |
a0e187b1 | 498 | sprintf(label,"b = %.1f fm",b); |
65aa45f2 | 499 | l1a->AddEntry(fgWAlmond,label,""); |
500 | l1a->Draw(); | |
501 | c9->Update(); | |
f3a04204 | 502 | } |
503 | ||
710a8d90 | 504 | void AliFastGlauber::DrawEnergyDensity() const |
f3a04204 | 505 | { |
65aa45f2 | 506 | // |
507 | // Draw energy density | |
508 | // | |
509 | TCanvas *c10 = new TCanvas("c10","Energy Density",400, 10, 600, 700); | |
510 | c10->cd(); | |
511 | fgWEnergyDensity->SetMinimum(0.); | |
512 | Double_t max=fgWEnergyDensity->GetMaximum(0,fgWEnergyDensity->GetParameter(0))*1.01; | |
513 | TH2F *h2f=new TH2F("h2fenergydens","Energy density",2,0,fgBMax,2,0,max); | |
514 | h2f->SetStats(0); | |
515 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
516 | h2f->GetYaxis()->SetTitle("fm^{-4}"); | |
517 | h2f->Draw(); | |
518 | fgWEnergyDensity->Draw("same"); | |
519 | c10->Update(); | |
f3a04204 | 520 | } |
521 | ||
710a8d90 | 522 | void AliFastGlauber::DrawPathLength0(Double_t b, Int_t iopt) const |
f3a04204 | 523 | { |
65aa45f2 | 524 | // |
525 | // Draw Path Length | |
526 | // | |
527 | TCanvas *c11 = new TCanvas("c11","Path Length",400,10,600,700); | |
528 | c11->cd(); | |
529 | fgWPathLength0->SetParameter(0, b); | |
530 | fgWPathLength0->SetParameter(1, Double_t(iopt)); | |
531 | fgWPathLength0->SetMinimum(0.); | |
532 | fgWPathLength0->SetMaximum(10.); | |
533 | TH2F *h2f=new TH2F("h2fpathlength0","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
534 | h2f->SetStats(0); | |
535 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
536 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
537 | h2f->Draw(); | |
538 | fgWPathLength0->Draw("same"); | |
f3a04204 | 539 | } |
540 | ||
710a8d90 | 541 | void AliFastGlauber::DrawPathLength(Double_t b , Int_t ni, Int_t iopt) const |
f3a04204 | 542 | { |
65aa45f2 | 543 | // |
544 | // Draw Path Length | |
545 | // | |
546 | TCanvas *c12 = new TCanvas("c12","Path Length",400,10,600,700); | |
547 | c12->cd(); | |
548 | fgWAlmond->SetParameter(0, b); | |
549 | fgWPathLength->SetParameter(0, b); | |
550 | fgWPathLength->SetParameter(1, Double_t (ni)); | |
551 | fgWPathLength->SetParameter(2, Double_t (iopt)); | |
552 | fgWPathLength->SetMinimum(0.); | |
553 | fgWPathLength->SetMaximum(10.); | |
554 | TH2F *h2f=new TH2F("h2fpathlength","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
555 | h2f->SetStats(0); | |
556 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
557 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
558 | h2f->Draw(); | |
559 | fgWPathLength->Draw("same"); | |
f3a04204 | 560 | } |
561 | ||
710a8d90 | 562 | void AliFastGlauber::DrawIntRadius(Double_t b) const |
2a103154 | 563 | { |
65aa45f2 | 564 | // |
565 | // Draw Interaction Radius | |
566 | // | |
567 | TCanvas *c13 = new TCanvas("c13","Interaction Radius",400,10,600,700); | |
568 | c13->cd(); | |
569 | fgWIntRadius->SetParameter(0, b); | |
570 | fgWIntRadius->SetMinimum(0); | |
571 | Double_t max=fgWIntRadius->GetMaximum(0,fgBMax)*1.01; | |
572 | TH2F *h2f=new TH2F("h2fintradius","Interaction Density",2,0.,fgBMax,2,0,max); | |
573 | h2f->SetStats(0); | |
574 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
575 | h2f->GetYaxis()->SetTitle("[fm^{-3}]"); | |
576 | h2f->Draw(); | |
577 | fgWIntRadius->Draw("same"); | |
2a103154 | 578 | } |
579 | ||
5b3a5a5d | 580 | Double_t AliFastGlauber::WSb(Double_t* x, Double_t* par) |
581 | { | |
65aa45f2 | 582 | // |
583 | // Woods-Saxon Parameterisation | |
584 | // as a function of radius (xx) | |
585 | // | |
710a8d90 | 586 | const Double_t kxx = x[0]; //fm |
587 | const Double_t kr0 = par[0]; //fm | |
588 | const Double_t kd = par[1]; //fm | |
589 | const Double_t kw = par[2]; //no units | |
590 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
591 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
65aa45f2 | 592 | return y; //fm^-3 |
5b3a5a5d | 593 | } |
594 | ||
595 | Double_t AliFastGlauber::WSbz(Double_t* x, Double_t* par) | |
596 | { | |
65aa45f2 | 597 | // |
598 | // Wood Saxon Parameterisation | |
599 | // as a function of z and b | |
600 | // | |
710a8d90 | 601 | const Double_t kbb = x[0]; //fm |
602 | const Double_t kzz = x[1]; //fm | |
603 | const Double_t kr0 = par[0]; //fm | |
604 | const Double_t kd = par[1]; //fm | |
605 | const Double_t kw = par[2]; //no units | |
606 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
607 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
608 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
65aa45f2 | 609 | return y; //fm^-3 |
5b3a5a5d | 610 | } |
611 | ||
612 | Double_t AliFastGlauber::WSz(Double_t* x, Double_t* par) | |
613 | { | |
65aa45f2 | 614 | // |
615 | // Wood Saxon Parameterisation | |
616 | // as a function of z for fixed b | |
617 | // | |
710a8d90 | 618 | const Double_t kzz = x[0]; //fm |
619 | const Double_t kr0 = par[0]; //fm | |
620 | const Double_t kd = par[1]; //fm | |
621 | const Double_t kw = par[2]; //no units | |
622 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
623 | const Double_t kbb = par[4]; //fm | |
624 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
625 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
65aa45f2 | 626 | return y; //fm^-3 |
5b3a5a5d | 627 | } |
628 | ||
f86dad79 | 629 | Double_t AliFastGlauber::WSta(Double_t* x, Double_t* /*par*/) |
5b3a5a5d | 630 | { |
65aa45f2 | 631 | // |
632 | // Thickness function T_A | |
633 | // as a function of b | |
634 | // | |
710a8d90 | 635 | const Double_t kb = x[0]; |
636 | fgWSz->SetParameter(4, kb); | |
637 | Double_t y = 2. * fgWSz->Integral(0., fgBMax); | |
65aa45f2 | 638 | return y; //fm^-2 |
5b3a5a5d | 639 | } |
640 | ||
5b3a5a5d | 641 | Double_t AliFastGlauber::WStarfi(Double_t* x, Double_t* par) |
642 | { | |
65aa45f2 | 643 | // |
644 | // Kernel for overlap function: T_A(s)*T_A(s-b) | |
645 | // as a function of r and phi | |
710a8d90 | 646 | const Double_t kr1 = x[0]; |
647 | const Double_t kphi = x[1]; | |
648 | const Double_t kb = par[0]; | |
649 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
650 | Double_t y = kr1 * fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
65aa45f2 | 651 | return y; //fm^-3 |
652 | } | |
653 | ||
654 | Double_t AliFastGlauber::WStaa(Double_t* x, Double_t* par) | |
655 | { | |
656 | // | |
657 | // Overlap function | |
658 | // T_{AB}=Int d2s T_A(s)*T_B(s-b) | |
659 | // as a function of b | |
660 | // (normalized to fA*fB) | |
661 | // | |
710a8d90 | 662 | const Double_t kb = x[0]; |
663 | const Double_t ka = par[0]; | |
664 | fgWStarfi->SetParameter(0, kb); | |
65aa45f2 | 665 | |
666 | // root integration seems to fail | |
667 | /* | |
668 | Double_t al[2]; | |
669 | Double_t bl[2]; | |
670 | al[0] = 1e-6; | |
671 | al[1] = fgBMax; | |
672 | bl[0] = 0.; | |
673 | bl[1] = TMath::Pi(); | |
674 | Double_t err; | |
675 | ||
676 | Double_t y = 2. * 208. * 208. * fgWStarfi->IntegralMultiple(2, al, bl, 0.001, err); | |
677 | printf("WStaa: %.5e %.5e %.5e\n", b, y, err); | |
678 | */ | |
679 | ||
680 | // | |
681 | // MC Integration | |
682 | // | |
683 | Double_t y = 0; | |
684 | for (Int_t i = 0; i < fgkMCInts; i++) | |
685 | { | |
710a8d90 | 686 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); |
687 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
688 | y += fgWStarfi->Eval(kb1, kphi); | |
65aa45f2 | 689 | } |
690 | y *= 2. * TMath::Pi() * fgBMax / fgkMCInts; //fm^-2 | |
710a8d90 | 691 | y *= ka * ka * 0.1; //mbarn^-1 |
65aa45f2 | 692 | return y; |
5b3a5a5d | 693 | } |
694 | ||
1bc228f5 | 695 | Double_t AliFastGlauber::WKParticipants(Double_t* x, Double_t* par) |
696 | { | |
65aa45f2 | 697 | // |
698 | // Kernel for number of participants | |
699 | // as a function of r and phi | |
700 | // | |
710a8d90 | 701 | const Double_t kr1 = x[0]; |
702 | const Double_t kphi = x[1]; | |
703 | const Double_t kb = par[0]; //fm | |
704 | const Double_t ksig = par[1]; //mbarn | |
705 | const Double_t ka = par[2]; //mass number | |
706 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 +kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
707 | const Double_t kxsi = fgWSta->Eval(kr2) * ksig * 0.1; //no units | |
65aa45f2 | 708 | /* |
710a8d90 | 709 | Double_t y=(1-TMath::Power((1-xsi),aa)) |
65aa45f2 | 710 | */ |
710a8d90 | 711 | Double_t a = ka; |
712 | Double_t sum = ka * kxsi; | |
65aa45f2 | 713 | Double_t y = sum; |
710a8d90 | 714 | for (Int_t i = 1; i <= ka; i++) |
1bc228f5 | 715 | { |
65aa45f2 | 716 | a--; |
710a8d90 | 717 | sum *= (-kxsi) * a / Float_t(i+1); |
65aa45f2 | 718 | y += sum; |
1bc228f5 | 719 | } |
710a8d90 | 720 | y *= kr1 * fgWSta->Eval(kr1); |
65aa45f2 | 721 | return y; //fm^-1 |
1bc228f5 | 722 | } |
723 | ||
65aa45f2 | 724 | Double_t AliFastGlauber::WParticipants(Double_t* x, Double_t* par) |
725 | { | |
726 | // | |
727 | // Number of Participants as | |
728 | // a function of b | |
729 | // | |
710a8d90 | 730 | const Double_t kb = x[0]; |
731 | const Double_t ksig = par[0]; //mbarn | |
732 | const Double_t ka = par[1]; //mass number | |
733 | fgWKParticipants->SetParameter(0, kb); | |
734 | fgWKParticipants->SetParameter(1, ksig); | |
735 | fgWKParticipants->SetParameter(2, ka); | |
65aa45f2 | 736 | |
737 | // | |
738 | // MC Integration | |
739 | // | |
740 | Double_t y = 0; | |
741 | for (Int_t i = 0; i < fgkMCInts; i++) | |
742 | { | |
710a8d90 | 743 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); |
744 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
745 | y += fgWKParticipants->Eval(kb1, kphi); | |
65aa45f2 | 746 | } |
710a8d90 | 747 | y *= 2. * ka * 2. * TMath::Pi() * fgBMax / fgkMCInts; |
65aa45f2 | 748 | return y; //no units |
749 | } | |
750 | ||
751 | Double_t AliFastGlauber::WSgeo(Double_t* x, Double_t* par) | |
752 | { | |
753 | // | |
754 | // Geometrical Cross-Section | |
755 | // as a function of b | |
756 | // | |
710a8d90 | 757 | const Double_t kb = x[0]; //fm |
758 | const Double_t ksigNN = par[0]; //mbarn | |
759 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
760 | Double_t y = 2. * TMath::Pi() * kb * (1. - TMath::Exp(- ksigNN * ktaa)); | |
65aa45f2 | 761 | return y; //fm |
762 | } | |
763 | ||
764 | Double_t AliFastGlauber::WSbinary(Double_t* x, Double_t* par) | |
765 | { | |
766 | // | |
710a8d90 | 767 | // Number of binary hard collisions |
65aa45f2 | 768 | // as a function of b |
769 | // | |
710a8d90 | 770 | const Double_t kb = x[0]; //fm |
771 | const Double_t ksig = par[0]; //mbarn | |
772 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
773 | Double_t y = 2. * TMath::Pi() * kb * ksig * ktaa; | |
65aa45f2 | 774 | return y; //fm |
775 | } | |
776 | ||
777 | Double_t AliFastGlauber::WSN(Double_t* x, Double_t* /*par*/) | |
778 | { | |
779 | // | |
780 | // Number of hard processes per event | |
781 | // as a function of b | |
710a8d90 | 782 | const Double_t kb = x[0]; |
783 | Double_t y = fgWSbinary->Eval(kb)/fgWSgeo->Eval(kb); | |
65aa45f2 | 784 | return y; //no units |
785 | } | |
786 | ||
787 | Double_t AliFastGlauber::WEnergyDensity(Double_t* x, Double_t* par) | |
788 | { | |
789 | // | |
790 | // Initial energy density | |
791 | // as a function of the impact parameter | |
792 | // | |
710a8d90 | 793 | const Double_t kb = x[0]; |
794 | const Double_t krA = par[0]; | |
65aa45f2 | 795 | // |
796 | // Attention: area of transverse reaction zone in hard-sphere approximation ! | |
710a8d90 | 797 | const Double_t krA2=krA*krA; |
798 | const Double_t kb2=kb*kb; | |
799 | const Double_t ksaa = (TMath::Pi() - 2. * TMath::ASin(kb/ 2./ krA)) * krA2 | |
800 | - kb * TMath::Sqrt(krA2 - kb2/ 4.); //fm^2 | |
801 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
802 | Double_t y=ktaa/ksaa*10; | |
65aa45f2 | 803 | return y; //fm^-4 |
804 | } | |
5b3a5a5d | 805 | |
f3a04204 | 806 | Double_t AliFastGlauber::WAlmond(Double_t* x, Double_t* par) |
807 | { | |
65aa45f2 | 808 | // |
809 | // Almond shaped interaction region | |
810 | // as a function of cartesian x,y. | |
811 | // | |
710a8d90 | 812 | const Double_t kb = par[0]; |
813 | const Double_t kxx = x[0] + kb/2.; | |
814 | const Double_t kyy = x[1]; | |
815 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
816 | const Double_t kphi = TMath::ATan2(kyy,kxx); | |
817 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
65aa45f2 | 818 | // |
819 | // Interaction probability calculated as product of thicknesses | |
820 | // | |
710a8d90 | 821 | Double_t y = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); |
65aa45f2 | 822 | return y; //fm^-4 |
f3a04204 | 823 | } |
824 | ||
825 | Double_t AliFastGlauber::WIntRadius(Double_t* x, Double_t* par) | |
826 | { | |
65aa45f2 | 827 | // |
828 | // Average interaction density over radius | |
829 | // at which interaction takes place | |
830 | // as a function of radius | |
831 | // | |
710a8d90 | 832 | const Double_t kr = x[0]; |
833 | const Double_t kb = par[0]; | |
834 | fgWAlmond->SetParameter(0, kb); | |
65aa45f2 | 835 | // Average over phi in small steps |
710a8d90 | 836 | const Double_t kdphi = 2. * TMath::Pi() / 100.; |
65aa45f2 | 837 | Double_t phi = 0.; |
838 | Double_t y = 0.; | |
839 | for (Int_t i = 0; i < 100; i++) { | |
710a8d90 | 840 | const Double_t kxx = kr * TMath::Cos(phi); |
841 | const Double_t kyy = kr * TMath::Sin(phi); | |
842 | y += fgWAlmond->Eval(kxx,kyy); | |
843 | phi += kdphi; | |
65aa45f2 | 844 | } // phi loop |
845 | // Result multiplied by Jacobian (2 pi r) | |
710a8d90 | 846 | y *= 2. * TMath::Pi() * kr / 100.; |
65aa45f2 | 847 | return y; //fm^-3 |
f3a04204 | 848 | } |
849 | ||
850 | Double_t AliFastGlauber::WPathLength0(Double_t* x, Double_t* par) | |
851 | { | |
65aa45f2 | 852 | // |
853 | // Path Length as a function of phi | |
854 | // for interaction point fixed at (0,0) | |
855 | // as a function of phi-direction | |
856 | // | |
857 | // Phi direction in Almond | |
710a8d90 | 858 | const Double_t kphi0 = x[0]; |
859 | const Double_t kb = par[0]; | |
65aa45f2 | 860 | // Path Length definition |
710a8d90 | 861 | const Int_t kiopt = Int_t(par[1]); |
65aa45f2 | 862 | |
863 | // Step along radial direction phi | |
864 | const Int_t kNp = 100; // Steps in r | |
865 | const Double_t kDr = fgBMax/kNp; | |
866 | Double_t r = 0.; | |
867 | Double_t rw = 0.; | |
868 | Double_t w = 0.; | |
869 | for (Int_t i = 0; i < kNp; i++) { | |
870 | // | |
871 | // Transform into target frame | |
872 | // | |
710a8d90 | 873 | const Double_t kxx = r * TMath::Cos(kphi0) + kb / 2.; |
874 | const Double_t kyy = r * TMath::Sin(kphi0); | |
875 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
876 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
65aa45f2 | 877 | // Radius in projectile frame |
710a8d90 | 878 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); |
879 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
65aa45f2 | 880 | |
710a8d90 | 881 | rw += ky * r; |
882 | w += ky; | |
65aa45f2 | 883 | r += kDr; |
884 | } // radial steps | |
885 | ||
886 | Double_t y=0.; | |
710a8d90 | 887 | if (!kiopt) // My length definition (is exact for hard disk) |
65aa45f2 | 888 | if(w) y= 2. * rw / w; |
889 | else { | |
710a8d90 | 890 | const Double_t knorm=fgWSta->Eval(1e-4); |
891 | if(knorm) y = TMath::Sqrt(2. * rw * kDr / knorm / knorm); | |
65aa45f2 | 892 | } |
893 | return y; //fm | |
894 | } | |
895 | ||
896 | Double_t AliFastGlauber::WPathLength(Double_t* x, Double_t* par) | |
897 | { | |
898 | // | |
899 | // Path Length as a function of phi | |
900 | // Interaction point from random distribution | |
901 | // as a function of the phi-direction | |
710a8d90 | 902 | const Double_t kphi0 = x[0]; |
903 | const Double_t kb = par[0]; | |
904 | fgWAlmond->SetParameter(0, kb); | |
905 | const Int_t kNpi = Int_t (par[1]); //Number of interactions | |
906 | const Int_t kiopt = Int_t(par[2]); //Path Length definition | |
65aa45f2 | 907 | |
908 | // | |
909 | // r-steps | |
910 | // | |
911 | const Int_t kNp = 100; | |
912 | const Double_t kDr = fgBMax/Double_t(kNp); | |
913 | Double_t l = 0.; // Path length | |
914 | for (Int_t in = 0; in < kNpi; in ++) { | |
f3a04204 | 915 | Double_t rw = 0.; |
916 | Double_t w = 0.; | |
65aa45f2 | 917 | // Interaction point |
918 | Double_t x0, y0; | |
919 | fgWAlmond->GetRandom2(x0, y0); | |
920 | // Initial radius | |
710a8d90 | 921 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); |
922 | const Int_t knps = Int_t ((fgBMax - kr0)/kDr) - 1; | |
f3a04204 | 923 | |
65aa45f2 | 924 | // Radial steps |
925 | Double_t r = 0.; | |
710a8d90 | 926 | for (Int_t i = 0; (i < knps ); i++) { |
65aa45f2 | 927 | // Transform into target frame |
710a8d90 | 928 | const Double_t kxx = x0 + r * TMath::Cos(kphi0) + kb / 2.; |
929 | const Double_t kyy = y0 + r * TMath::Sin(kphi0); | |
930 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
931 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
65aa45f2 | 932 | // Radius in projectile frame |
710a8d90 | 933 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); |
934 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
65aa45f2 | 935 | |
710a8d90 | 936 | rw += ky * r; |
937 | w += ky; | |
65aa45f2 | 938 | r += kDr; |
939 | } // steps | |
940 | // Average over interactions | |
710a8d90 | 941 | if (!kiopt) { |
65aa45f2 | 942 | if(w) l += (2. * rw / w); |
8de7e046 | 943 | } else { |
710a8d90 | 944 | const Double_t knorm=fgWSta->Eval(1e-4); |
945 | if(knorm) l+= 2. * rw * kDr / knorm / knorm; | |
8de7e046 | 946 | } |
65aa45f2 | 947 | } // interactions |
948 | Double_t ret=0; | |
710a8d90 | 949 | if (!kiopt) |
65aa45f2 | 950 | ret= l / kNpi; |
951 | else | |
952 | ret=TMath::Sqrt( l / kNpi); | |
953 | return ret; //fm | |
f3a04204 | 954 | } |
955 | ||
710a8d90 | 956 | Double_t AliFastGlauber::CrossSection(Double_t b1, Double_t b2) const |
f3a04204 | 957 | { |
65aa45f2 | 958 | // |
959 | // Return the geometrical cross-section integrated from b1 to b2 | |
960 | // | |
961 | return fgWSgeo->Integral(b1, b2)*10.; //mbarn | |
962 | } | |
f3a04204 | 963 | |
710a8d90 | 964 | Double_t AliFastGlauber::HardCrossSection(Double_t b1, Double_t b2) const |
5b3a5a5d | 965 | { |
65aa45f2 | 966 | // |
967 | // Return the hard cross-section integrated from b1 to b2 | |
968 | // | |
969 | return fgWSbinary->Integral(b1, b2)*10.; //mbarn | |
5b3a5a5d | 970 | } |
971 | ||
710a8d90 | 972 | Double_t AliFastGlauber::FractionOfHardCrossSection(Double_t b1, Double_t b2) const |
1bc228f5 | 973 | { |
65aa45f2 | 974 | // |
975 | // Return raction of hard cross-section integrated from b1 to b2 | |
976 | // | |
977 | return fgWSbinary->Integral(b1, b2)/fgWSbinary->Integral(0., 100.); | |
1bc228f5 | 978 | } |
979 | ||
710a8d90 | 980 | Double_t AliFastGlauber::Binaries(Double_t b) const |
5b3a5a5d | 981 | { |
65aa45f2 | 982 | // |
710a8d90 | 983 | // Return number of binary hard collisions normalized to 1 at b=0 |
65aa45f2 | 984 | // |
985 | if(b==0) b=1e-4; | |
986 | return fgWSN->Eval(b)/fgWSN->Eval(1e-4); | |
5b3a5a5d | 987 | } |
988 | ||
710a8d90 | 989 | Double_t AliFastGlauber::GetNumberOfBinaries(Double_t b) const |
5b3a5a5d | 990 | { |
65aa45f2 | 991 | // |
710a8d90 | 992 | // Return number of binary hard collisions at b |
65aa45f2 | 993 | // |
994 | if(b==0) b=1e-4; | |
995 | return fgWSN->Eval(b); | |
5b3a5a5d | 996 | } |
997 | ||
710a8d90 | 998 | Double_t AliFastGlauber::Participants(Double_t b) const |
5b3a5a5d | 999 | { |
65aa45f2 | 1000 | // |
1001 | // Return the number of participants normalized to 1 at b=0 | |
1002 | // | |
1003 | if(b==0) b=1e-4; | |
1004 | return (fgWParticipants->Eval(b)/fgWParticipants->Eval(1e-4)); | |
5b3a5a5d | 1005 | } |
1006 | ||
710a8d90 | 1007 | Double_t AliFastGlauber::GetNumberOfParticipants(Double_t b) const |
2a103154 | 1008 | { |
65aa45f2 | 1009 | // |
1010 | // Return the number of participants for impact parameter b | |
1011 | // | |
1012 | if(b==0) b=1e-4; | |
1013 | return (fgWParticipants->Eval(b)); | |
2a103154 | 1014 | } |
1015 | ||
710a8d90 | 1016 | Double_t AliFastGlauber::GetNumberOfCollisions(Double_t b) const |
1017 | { | |
1018 | // | |
1019 | // Return the number of collisions for impact parameter b | |
1020 | // | |
1021 | if(b==0) b=1e-4; | |
1022 | return (fgWStaa->Eval(b)*fSigmaNN); | |
1023 | } | |
1024 | ||
5b3a5a5d | 1025 | void AliFastGlauber::SimulateTrigger(Int_t n) |
1026 | { | |
65aa45f2 | 1027 | // |
1028 | // Simulates Trigger | |
1029 | // | |
1030 | TH1F* mbtH = new TH1F("mbtH", "MB Trigger b-Distribution", 100, 0., 20.); | |
1031 | TH1F* hdtH = new TH1F("hdtH", "Hard Trigger b-Distribution", 100, 0., 20.); | |
1032 | TH1F* mbmH = new TH1F("mbmH", "MB Trigger Multiplicity Distribution", 100, 0., 8000.); | |
1033 | TH1F* hdmH = new TH1F("hdmH", "Hard Trigger Multiplicity Distribution", 100, 0., 8000.); | |
5b3a5a5d | 1034 | |
65aa45f2 | 1035 | mbtH->SetXTitle("b [fm]"); |
1036 | hdtH->SetXTitle("b [fm]"); | |
1037 | mbmH->SetXTitle("Multiplicity"); | |
1038 | hdmH->SetXTitle("Multiplicity"); | |
5b3a5a5d | 1039 | |
65aa45f2 | 1040 | TCanvas *c0 = new TCanvas("c0","Trigger Simulation",400,10,600,700); |
1041 | c0->Divide(2,1); | |
1042 | TCanvas *c1 = new TCanvas("c1","Trigger Simulation",400,10,600,700); | |
1043 | c1->Divide(1,2); | |
5b3a5a5d | 1044 | |
65aa45f2 | 1045 | // |
1046 | // | |
1047 | Init(1); | |
1048 | for (Int_t iev = 0; iev < n; iev++) | |
5b3a5a5d | 1049 | { |
65aa45f2 | 1050 | Float_t b, p, mult; |
1051 | GetRandom(b, p, mult); | |
1052 | mbtH->Fill(b,1.); | |
1053 | hdtH->Fill(b, p); | |
1054 | mbmH->Fill(mult, 1.); | |
1055 | hdmH->Fill(mult, p); | |
1056 | ||
1057 | c0->cd(1); | |
1058 | mbtH->Draw(); | |
1059 | c0->cd(2); | |
1060 | hdtH->Draw(); | |
1061 | c0->Update(); | |
1062 | ||
1063 | c1->cd(1); | |
1064 | mbmH->Draw(); | |
1065 | c1->cd(2); | |
1066 | hdmH->Draw(); | |
1067 | c1->Update(); | |
5b3a5a5d | 1068 | } |
1069 | } | |
1070 | ||
1071 | void AliFastGlauber::GetRandom(Float_t& b, Float_t& p, Float_t& mult) | |
1072 | { | |
65aa45f2 | 1073 | // |
1074 | // Gives back a random impact parameter, hard trigger probability and multiplicity | |
1075 | // | |
1076 | b = fgWSgeo->GetRandom(); | |
710a8d90 | 1077 | const Float_t kmu = fgWSN->Eval(b); |
1078 | p = 1.-TMath::Exp(-kmu); | |
1079 | mult = 6000./fgWSN->Eval(1.) * kmu; | |
5b3a5a5d | 1080 | } |
1081 | ||
c2140715 | 1082 | void AliFastGlauber::GetRandom(Int_t& bin, Bool_t& hard) |
1083 | { | |
65aa45f2 | 1084 | // |
1085 | // Gives back a random impact parameter bin, and hard trigger decission | |
1086 | // | |
710a8d90 | 1087 | const Float_t kb = fgWSgeo->GetRandom(); |
1088 | const Float_t kmu = fgWSN->Eval(kb) * fSigmaHard; | |
1089 | const Float_t kp = 1.-TMath::Exp(-kmu); | |
1090 | if (kb < 5.) { | |
65aa45f2 | 1091 | bin = 1; |
710a8d90 | 1092 | } else if (kb < 8.6) { |
65aa45f2 | 1093 | bin = 2; |
710a8d90 | 1094 | } else if (kb < 11.2) { |
65aa45f2 | 1095 | bin = 3; |
710a8d90 | 1096 | } else if (kb < 13.2) { |
65aa45f2 | 1097 | bin = 4; |
710a8d90 | 1098 | } else if (kb < 15.0) { |
65aa45f2 | 1099 | bin = 5; |
1100 | } else { | |
1101 | bin = 6; | |
1102 | } | |
1103 | hard = kFALSE; | |
710a8d90 | 1104 | const Float_t kr = gRandom->Rndm(); |
1105 | if (kr < kp) hard = kTRUE; | |
c2140715 | 1106 | } |
1107 | ||
65aa45f2 | 1108 | Double_t AliFastGlauber::GetRandomImpactParameter(Double_t bmin, Double_t bmax) |
5b3a5a5d | 1109 | { |
65aa45f2 | 1110 | // |
1111 | // Gives back a random impact parameter in the range bmin .. bmax | |
1112 | // | |
1113 | Float_t b = -1.; | |
1114 | while(b < bmin || b > bmax) | |
1115 | b = fgWSgeo->GetRandom(); | |
1116 | return b; | |
5b3a5a5d | 1117 | } |
1118 | ||
710a8d90 | 1119 | void AliFastGlauber::StoreFunctions() const |
5b3a5a5d | 1120 | { |
65aa45f2 | 1121 | // |
1122 | // Store in file functions | |
1123 | // | |
1124 | TFile* ff = new TFile(fName.Data(),"recreate"); | |
1125 | fgWStaa->Write("WStaa"); | |
1126 | fgWParticipants->Write("WParticipants"); | |
1127 | ff->Close(); | |
1128 | return; | |
5b3a5a5d | 1129 | } |
1130 | ||
65aa45f2 | 1131 | //=================== Added by A. Dainese 11/02/04 =========================== |
1bc228f5 | 1132 | |
710a8d90 | 1133 | void AliFastGlauber::StoreAlmonds() const |
5b3a5a5d | 1134 | { |
65aa45f2 | 1135 | // |
1136 | // Store in file | |
1137 | // 40 almonds for b = (0.25+k*0.5) fm (k=0->39) | |
1138 | // | |
1139 | Char_t almondName[100]; | |
1140 | TFile* ff = new TFile(fName.Data(),"update"); | |
1141 | for(Int_t k=0; k<40; k++) { | |
1142 | sprintf(almondName,"WAlmondFixedB%d",k); | |
1143 | Double_t b = 0.25+k*0.5; | |
1144 | Info("StoreAlmonds"," b = %f\n",b); | |
1145 | fgWAlmond->SetParameter(0,b); | |
1146 | fgWAlmond->Write(almondName); | |
1147 | } | |
1148 | ff->Close(); | |
1149 | return; | |
5b3a5a5d | 1150 | } |
a2f2f511 | 1151 | |
a2f2f511 | 1152 | void AliFastGlauber::SetCentralityClass(Double_t xsecFrLow,Double_t xsecFrUp) |
1153 | { | |
1154 | // | |
65aa45f2 | 1155 | // Set limits of centrality class as fractions |
1156 | // of the geomtrical cross section | |
a2f2f511 | 1157 | // |
1158 | if(xsecFrLow>1. || xsecFrUp>1. || xsecFrLow>xsecFrUp) { | |
65aa45f2 | 1159 | Error("SetCentralityClass", "Please set 0 <= xsecFrLow <= xsecFrUp <= 1\n"); |
a2f2f511 | 1160 | return; |
1161 | } | |
1162 | ||
1163 | Double_t bLow=0.,bUp=0.; | |
1164 | Double_t xsecFr=0.; | |
710a8d90 | 1165 | const Double_t knorm=fgWSgeo->Integral(0.,100.); |
a2f2f511 | 1166 | while(xsecFr<xsecFrLow) { |
710a8d90 | 1167 | xsecFr = fgWSgeo->Integral(0.,bLow)/knorm; |
a2f2f511 | 1168 | bLow += 0.1; |
1169 | } | |
1170 | bUp = bLow; | |
1171 | while(xsecFr<xsecFrUp) { | |
710a8d90 | 1172 | xsecFr = fgWSgeo->Integral(0.,bUp)/knorm; |
a2f2f511 | 1173 | bUp += 0.1; |
1174 | } | |
1175 | ||
710a8d90 | 1176 | Info("SetCentralityClass", "Centrality class: %4.2f-%4.2f; %4.1f < b < %4.1f fm", |
a2f2f511 | 1177 | xsecFrLow,xsecFrUp,bLow,bUp); |
a2f2f511 | 1178 | fgWSbinary->SetRange(bLow,bUp); |
710a8d90 | 1179 | fBmin=bLow; |
1180 | fBmax=bUp; | |
a2f2f511 | 1181 | return; |
1182 | } | |
1183 | ||
1184 | void AliFastGlauber::GetRandomBHard(Double_t& b) | |
1185 | { | |
1186 | // | |
1187 | // Get random impact parameter according to distribution of | |
1188 | // hard (binary) cross-section, in the range defined by the centrality class | |
1189 | // | |
1190 | b = fgWSbinary->GetRandom(); | |
1191 | Int_t bin = 2*(Int_t)b; | |
1192 | if( (b-(Int_t)b) > 0.5) bin++; | |
65aa45f2 | 1193 | fgWAlmondCurrent = &fgWAlmondFixedB[bin]; |
a2f2f511 | 1194 | return; |
1195 | } | |
1196 | ||
1197 | void AliFastGlauber::GetRandomXY(Double_t& x,Double_t& y) | |
1198 | { | |
1199 | // | |
1200 | // Get random position of parton production point according to | |
1201 | // product of thickness functions | |
1202 | // | |
65aa45f2 | 1203 | fgWAlmondCurrent->GetRandom2(x,y); |
a2f2f511 | 1204 | return; |
1205 | } | |
1206 | ||
1207 | void AliFastGlauber::GetRandomPhi(Double_t& phi) | |
1208 | { | |
1209 | // | |
1210 | // Get random parton azimuthal propagation direction | |
1211 | // | |
1212 | phi = 2.*TMath::Pi()*gRandom->Rndm(); | |
1213 | return; | |
1214 | } | |
1215 | ||
65aa45f2 | 1216 | Double_t AliFastGlauber::CalculateLength(Double_t b,Double_t x0,Double_t y0,Double_t phi0) |
a2f2f511 | 1217 | { |
1218 | // | |
1219 | // Calculate path length for a parton with production point (x0,y0) | |
1220 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1221 | // in a collision with impact parameter b | |
1222 | // | |
1223 | ||
1224 | // number of steps in l | |
1225 | const Int_t kNp = 100; | |
1226 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1227 | ||
a2f2f511 | 1228 | if(fEllDef==1) { |
1229 | // | |
1230 | // Definition 1: | |
1231 | // | |
65aa45f2 | 1232 | // ell = 2 * \int_0^\infty dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) / |
1233 | // \int_0^\infty dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
a2f2f511 | 1234 | // |
a2f2f511 | 1235 | |
a2f2f511 | 1236 | // Initial radius |
710a8d90 | 1237 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); |
1238 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
65aa45f2 | 1239 | Double_t l = 0.; |
1240 | Double_t integral1 = 0.; | |
1241 | Double_t integral2 = 0.; | |
a2f2f511 | 1242 | // Radial steps |
710a8d90 | 1243 | for (Int_t i = 0; i < knps; i++) { |
a2f2f511 | 1244 | |
1245 | // Transform into target frame | |
710a8d90 | 1246 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; |
1247 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1248 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1249 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
a2f2f511 | 1250 | // Radius in projectile frame |
710a8d90 | 1251 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); |
1252 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
a2f2f511 | 1253 | |
710a8d90 | 1254 | integral1 += kprodTATB * l * kDl; |
1255 | integral2 += kprodTATB * kDl; | |
a2f2f511 | 1256 | l += kDl; |
1257 | } // steps | |
1258 | ||
65aa45f2 | 1259 | Double_t ell=0.; |
1260 | if(integral2) | |
1261 | ell = (2. * integral1 / integral2); | |
a2f2f511 | 1262 | return ell; |
a2f2f511 | 1263 | } else if(fEllDef==2) { |
1264 | // | |
1265 | // Definition 2: | |
1266 | // | |
1267 | // ell = \int_0^\infty dl* | |
65aa45f2 | 1268 | // \Theta((T_A*T_B)(x0+l*ux,y0+l*uy)-0.5*(T_A*T_B)(0,0)) |
a2f2f511 | 1269 | // |
1270 | ||
a2f2f511 | 1271 | // Initial radius |
710a8d90 | 1272 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); |
1273 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1274 | const Double_t kprodTATBHalfMax = 0.5*fgWAlmondCurrent->Eval(0.,0.); | |
a2f2f511 | 1275 | // Radial steps |
65aa45f2 | 1276 | Double_t l = 0.; |
1277 | Double_t integral = 0.; | |
710a8d90 | 1278 | for (Int_t i = 0; i < knps; i++) { |
a2f2f511 | 1279 | // Transform into target frame |
710a8d90 | 1280 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; |
1281 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1282 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1283 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
a2f2f511 | 1284 | // Radius in projectile frame |
710a8d90 | 1285 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); |
1286 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1287 | if(kprodTATB>kprodTATBHalfMax) integral += kDl; | |
a2f2f511 | 1288 | l += kDl; |
1289 | } // steps | |
65aa45f2 | 1290 | Double_t ell = integral; |
a2f2f511 | 1291 | return ell; |
a2f2f511 | 1292 | } else { |
65aa45f2 | 1293 | Error("CalculateLength","Wrong length definition setting: %d !\n",fEllDef); |
a2f2f511 | 1294 | return -1.; |
1295 | } | |
1296 | } | |
1297 | ||
83f67d08 | 1298 | void AliFastGlauber::GetLengthAndPhi(Double_t& ell,Double_t& phi,Double_t b) |
a2f2f511 | 1299 | { |
1300 | // | |
1301 | // Return length from random b, x0, y0, phi0 | |
83f67d08 | 1302 | // Return also phi0 |
a2f2f511 | 1303 | // |
1304 | Double_t x0,y0,phi0; | |
1305 | if(b<0.) GetRandomBHard(b); | |
1306 | GetRandomXY(x0,y0); | |
1307 | GetRandomPhi(phi0); | |
83f67d08 | 1308 | phi = phi0; |
a2f2f511 | 1309 | ell = CalculateLength(b,x0,y0,phi0); |
a2f2f511 | 1310 | return; |
1311 | } | |
1312 | ||
83f67d08 | 1313 | void AliFastGlauber::GetLength(Double_t& ell,Double_t b) |
a2f2f511 | 1314 | { |
1315 | // | |
83f67d08 | 1316 | // Return length from random b, x0, y0, phi0 |
a2f2f511 | 1317 | // |
83f67d08 | 1318 | Double_t phi; |
1319 | GetLengthAndPhi(ell,phi,b); | |
1320 | return; | |
1321 | } | |
1322 | ||
1323 | void AliFastGlauber::GetLengthsBackToBackAndPhi(Double_t& ell1,Double_t& ell2,Double_t &phi,Double_t b) | |
1324 | { | |
1325 | // | |
1326 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1327 | // Return also phi0 | |
1328 | // | |
a2f2f511 | 1329 | Double_t x0,y0,phi0; |
1330 | if(b<0.) GetRandomBHard(b); | |
1331 | GetRandomXY(x0,y0); | |
1332 | GetRandomPhi(phi0); | |
710a8d90 | 1333 | const Double_t kphi0plusPi = phi0+TMath::Pi(); |
83f67d08 | 1334 | phi = phi0; |
a2f2f511 | 1335 | ell1 = CalculateLength(b,x0,y0,phi0); |
710a8d90 | 1336 | ell2 = CalculateLength(b,x0,y0,kphi0plusPi); |
a2f2f511 | 1337 | return; |
1338 | } | |
1339 | ||
83f67d08 | 1340 | void AliFastGlauber::GetLengthsBackToBack(Double_t& ell1,Double_t& ell2, |
1341 | Double_t b) | |
1342 | { | |
1343 | // | |
1344 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1345 | // | |
1346 | Double_t phi; | |
1347 | GetLengthsBackToBackAndPhi(ell1,ell2,phi,b); | |
1348 | return; | |
1349 | } | |
1350 | ||
1bc228f5 | 1351 | void AliFastGlauber::GetLengthsForPythia(Int_t n,Double_t* phi,Double_t* ell, Double_t b) |
a2f2f511 | 1352 | { |
1353 | // | |
1354 | // Returns lenghts for n partons with azimuthal angles phi[n] | |
1355 | // from random b, x0, y0 | |
1356 | // | |
1bc228f5 | 1357 | Double_t x0, y0; |
1358 | if(b < 0.) GetRandomBHard(b); | |
a2f2f511 | 1359 | GetRandomXY(x0,y0); |
1bc228f5 | 1360 | for(Int_t i = 0; i< n; i++) ell[i] = CalculateLength(b,x0,y0,phi[i]); |
a2f2f511 | 1361 | return; |
1362 | } | |
1363 | ||
1364 | void AliFastGlauber::PlotBDistr(Int_t n) | |
65aa45f2 | 1365 | { |
a2f2f511 | 1366 | // |
1367 | // Plot distribution of n impact parameters | |
1368 | // | |
1369 | Double_t b; | |
1370 | TH1F *hB = new TH1F("hB","dN/db",100,0,fgBMax); | |
1371 | hB->SetXTitle("b [fm]"); | |
1372 | hB->SetYTitle("dN/db [a.u.]"); | |
1373 | hB->SetFillColor(3); | |
a2f2f511 | 1374 | for(Int_t i=0; i<n; i++) { |
1375 | GetRandomBHard(b); | |
1376 | hB->Fill(b); | |
1377 | } | |
a2f2f511 | 1378 | TCanvas *cB = new TCanvas("cB","Impact parameter distribution",0,0,500,500); |
1379 | cB->cd(); | |
1380 | hB->Draw(); | |
a2f2f511 | 1381 | return; |
1382 | } | |
1383 | ||
1384 | void AliFastGlauber::PlotLengthDistr(Int_t n,Bool_t save,Char_t *fname) | |
1385 | { | |
1386 | // | |
1387 | // Plot length distribution | |
1388 | // | |
1389 | Double_t ell; | |
710a8d90 | 1390 | TH1F *hEll = new TH1F("hEll","Length distribution",64,-0.5,15); |
a2f2f511 | 1391 | hEll->SetXTitle("Transverse path length, L [fm]"); |
1392 | hEll->SetYTitle("Probability"); | |
1393 | hEll->SetFillColor(2); | |
a2f2f511 | 1394 | for(Int_t i=0; i<n; i++) { |
1395 | GetLength(ell); | |
1396 | hEll->Fill(ell); | |
1397 | } | |
1398 | hEll->Scale(1/(Double_t)n); | |
a2f2f511 | 1399 | TCanvas *cL = new TCanvas("cL","Length distribution",0,0,500,500); |
1400 | cL->cd(); | |
1401 | hEll->Draw(); | |
1402 | ||
1403 | if(save) { | |
1404 | TFile *f = new TFile(fname,"recreate"); | |
1405 | hEll->Write(); | |
1406 | f->Close(); | |
1407 | } | |
1408 | return; | |
1409 | } | |
1410 | ||
1411 | void AliFastGlauber::PlotLengthB2BDistr(Int_t n,Bool_t save,Char_t *fname) | |
1412 | { | |
1413 | // | |
1414 | // Plot lengths back-to-back distributions | |
1415 | // | |
1416 | Double_t ell1,ell2; | |
1417 | TH2F *hElls = new TH2F("hElls","Lengths back-to-back",100,0,15,100,0,15); | |
1418 | hElls->SetXTitle("Transverse path length, L [fm]"); | |
1419 | hElls->SetYTitle("Transverse path length, L [fm]"); | |
a2f2f511 | 1420 | for(Int_t i=0; i<n; i++) { |
1421 | GetLengthsBackToBack(ell1,ell2); | |
1422 | hElls->Fill(ell1,ell2); | |
1423 | } | |
1424 | hElls->Scale(1/(Double_t)n); | |
a2f2f511 | 1425 | TCanvas *cLs = new TCanvas("cLs","Length back-to-back distribution",0,0,500,500); |
1426 | gStyle->SetPalette(1,0); | |
1427 | cLs->cd(); | |
1428 | hElls->Draw("col,Z"); | |
a2f2f511 | 1429 | if(save) { |
1430 | TFile *f = new TFile(fname,"recreate"); | |
1431 | hElls->Write(); | |
1432 | f->Close(); | |
1433 | } | |
1434 | return; | |
1435 | } | |
1436 | ||
710a8d90 | 1437 | void AliFastGlauber::PlotAlmonds() const |
1438 | { | |
1439 | // | |
1440 | // Plot almonds for some impact parameters | |
1441 | // | |
1442 | TCanvas *c = new TCanvas("c","Almonds",0,0,500,500); | |
1443 | gStyle->SetPalette(1,0); | |
1444 | c->Divide(2,2); | |
1445 | c->cd(1); | |
1446 | fgWAlmondFixedB[0].Draw("cont1"); | |
1447 | c->cd(2); | |
1448 | fgWAlmondFixedB[10].Draw("cont1"); | |
1449 | c->cd(3); | |
1450 | fgWAlmondFixedB[20].Draw("cont1"); | |
1451 | c->cd(4); | |
1452 | fgWAlmondFixedB[30].Draw("cont1"); | |
1453 | return; | |
1454 | } | |
1455 | ||
65aa45f2 | 1456 | //=================== Added by A. Dainese 05/03/04 =========================== |
1457 | ||
1458 | void AliFastGlauber::CalculateI0I1(Double_t& integral0,Double_t& integral1, | |
1459 | Double_t b,Double_t x0,Double_t y0, | |
710a8d90 | 1460 | Double_t phi0,Double_t ellCut) const |
a2f2f511 | 1461 | { |
65aa45f2 | 1462 | // |
1463 | // Calculate integrals: | |
e9663638 | 1464 | // integral0 = \int_0^ellCut dl*(T_A*T_B)(x0+l*ux,y0+l*uy) |
1465 | // integral1 = \int_0^ellCut dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
a2f2f511 | 1466 | // |
65aa45f2 | 1467 | // for a parton with production point (x0,y0) |
1468 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1469 | // in a collision with impact parameter b | |
1470 | // | |
1471 | ||
1472 | // number of steps in l | |
1473 | const Int_t kNp = 100; | |
1474 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1475 | ||
1476 | // Initial radius | |
710a8d90 | 1477 | const Double_t kr0 = TMath::Sqrt(x0 * x0 + y0 * y0); |
1478 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
65aa45f2 | 1479 | |
1480 | // Radial steps | |
1481 | Double_t l = 0.; | |
1482 | integral0 = 0.; | |
1483 | integral1 = 0.; | |
1484 | Int_t i = 0; | |
710a8d90 | 1485 | while((i < knps) && (l < ellCut)) { |
65aa45f2 | 1486 | // Transform into target frame |
710a8d90 | 1487 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; |
1488 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1489 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1490 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
65aa45f2 | 1491 | // Radius in projectile frame |
710a8d90 | 1492 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); |
1493 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1494 | integral0 += kprodTATB * kDl; | |
1495 | integral1 += kprodTATB * l * kDl; | |
65aa45f2 | 1496 | l += kDl; |
1497 | i++; | |
1498 | } // steps | |
1499 | return; | |
1500 | } | |
1501 | ||
83f67d08 | 1502 | void AliFastGlauber::GetI0I1AndPhi(Double_t& integral0,Double_t& integral1, |
1503 | Double_t& phi, | |
1504 | Double_t ellCut,Double_t b) | |
65aa45f2 | 1505 | { |
a2f2f511 | 1506 | // |
65aa45f2 | 1507 | // Return I0 and I1 from random b, x0, y0, phi0 |
83f67d08 | 1508 | // Return also phi |
65aa45f2 | 1509 | // |
1510 | Double_t x0,y0,phi0; | |
1511 | if(b<0.) GetRandomBHard(b); | |
1512 | GetRandomXY(x0,y0); | |
1513 | GetRandomPhi(phi0); | |
83f67d08 | 1514 | phi = phi0; |
65aa45f2 | 1515 | CalculateI0I1(integral0,integral1,b,x0,y0,phi0,ellCut); |
1516 | return; | |
1517 | } | |
a2f2f511 | 1518 | |
83f67d08 | 1519 | void AliFastGlauber::GetI0I1(Double_t& integral0,Double_t& integral1, |
1520 | Double_t ellCut,Double_t b) | |
1521 | { | |
1522 | // | |
1523 | // Return I0 and I1 from random b, x0, y0, phi0 | |
1524 | // | |
1525 | Double_t phi; | |
1526 | GetI0I1AndPhi(integral0,integral1,phi,ellCut,b); | |
1527 | return; | |
1528 | } | |
1529 | ||
1530 | void AliFastGlauber::GetI0I1BackToBackAndPhi(Double_t& integral01,Double_t& integral11, | |
1531 | Double_t& integral02,Double_t& integral12, | |
1532 | Double_t& phi, | |
1533 | Double_t ellCut,Double_t b) | |
65aa45f2 | 1534 | { |
1535 | // | |
1536 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
83f67d08 | 1537 | // Return also phi0 |
65aa45f2 | 1538 | // |
1539 | Double_t x0,y0,phi0; | |
1540 | if(b<0.) GetRandomBHard(b); | |
1541 | GetRandomXY(x0,y0); | |
1542 | GetRandomPhi(phi0); | |
83f67d08 | 1543 | phi = phi0; |
710a8d90 | 1544 | const Double_t kphi0plusPi = phi0+TMath::Pi(); |
65aa45f2 | 1545 | CalculateI0I1(integral01,integral11,b,x0,y0,phi0,ellCut); |
710a8d90 | 1546 | CalculateI0I1(integral02,integral12,b,x0,y0,kphi0plusPi,ellCut); |
65aa45f2 | 1547 | return; |
1548 | } | |
a2f2f511 | 1549 | |
83f67d08 | 1550 | void AliFastGlauber::GetI0I1BackToBack(Double_t& integral01,Double_t& integral11, |
1551 | Double_t& integral02,Double_t& integral12, | |
1552 | Double_t ellCut,Double_t b) | |
1553 | { | |
1554 | // | |
1555 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1556 | // | |
1557 | Double_t phi; | |
1558 | GetI0I1BackToBackAndPhi(integral01,integral11,integral02,integral12, | |
1559 | phi,ellCut,b); | |
1560 | return; | |
1561 | } | |
1562 | ||
65aa45f2 | 1563 | void AliFastGlauber::GetI0I1ForPythia(Int_t n,Double_t* phi, |
1564 | Double_t* integral0,Double_t* integral1, | |
1565 | Double_t ellCut,Double_t b) | |
1566 | { | |
1567 | // | |
1568 | // Returns I0 and I1 pairs for n partons with azimuthal angles phi[n] | |
1569 | // from random b, x0, y0 | |
1570 | // | |
1571 | Double_t x0,y0; | |
1572 | if(b<0.) GetRandomBHard(b); | |
1573 | GetRandomXY(x0,y0); | |
1574 | for(Int_t i=0; i<n; i++) | |
1575 | CalculateI0I1(integral0[i],integral1[i],b,x0,y0,phi[i],ellCut); | |
1576 | return; | |
1577 | } | |
1578 | ||
1579 | void AliFastGlauber::PlotI0I1Distr(Int_t n,Double_t ellCut, | |
1580 | Bool_t save,Char_t *fname) | |
1581 | { | |
1582 | // | |
bbf8513d | 1583 | // Plot I0-I1 distribution |
65aa45f2 | 1584 | // |
1585 | Double_t i0,i1; | |
bbf8513d | 1586 | TH2F *hI0I1s = new TH2F("hI0I1s","I_{0} versus I_{1}",1000,0,0.001,1000,0,0.01); |
1587 | hI0I1s->SetXTitle("I_{0} [fm^{-3}]"); | |
1588 | hI0I1s->SetYTitle("I_{1} [fm^{-2}]"); | |
1589 | ||
65aa45f2 | 1590 | TH1F *hI0 = new TH1F("hI0","I_{0} = #hat{q}L / k", |
bbf8513d | 1591 | 1000,0,0.001); |
65aa45f2 | 1592 | hI0->SetXTitle("I_{0} [fm^{-3}]"); |
1593 | hI0->SetYTitle("Probability"); | |
1594 | hI0->SetFillColor(3); | |
1595 | TH1F *hI1 = new TH1F("hI1","I_{1} = #omega_{c} / k", | |
bbf8513d | 1596 | 1000,0,0.01); |
65aa45f2 | 1597 | hI1->SetXTitle("I_{1} [fm^{-2}]"); |
1598 | hI1->SetYTitle("Probability"); | |
1599 | hI1->SetFillColor(4); | |
1600 | TH1F *h2 = new TH1F("h2","2 I_{1}^{2}/I_{0} = R / k", | |
1601 | 100,0,0.02); | |
1602 | h2->SetXTitle("2 I_{1}^{2}/I_{0} [fm^{-1}]"); | |
1603 | h2->SetYTitle("Probability"); | |
1604 | h2->SetFillColor(2); | |
1605 | TH1F *h3 = new TH1F("h3","2 I_{1}/I_{0} = L", | |
1606 | 100,0,15); | |
1607 | h3->SetXTitle("2 I_{1}/I_{0} [fm]"); | |
1608 | h3->SetYTitle("Probability"); | |
1609 | h3->SetFillColor(5); | |
1610 | TH1F *h4 = new TH1F("h4","I_{0}^{2}/(2 I_{1}) = #hat{q} / k", | |
1611 | 100,0,0.00015); | |
1612 | h4->SetXTitle("I_{0}^{2}/(2 I_{1}) [fm^{-4}]"); | |
1613 | h4->SetYTitle("Probability"); | |
1614 | h4->SetFillColor(7); | |
1615 | ||
1616 | for(Int_t i=0; i<n; i++) { | |
1617 | GetI0I1(i0,i1,ellCut); | |
bbf8513d | 1618 | hI0I1s->Fill(i0,i1); |
65aa45f2 | 1619 | hI0->Fill(i0); |
1620 | hI1->Fill(i1); | |
1621 | h2->Fill(2.*i1*i1/i0); | |
1622 | h3->Fill(2.*i1/i0); | |
1623 | h4->Fill(i0*i0/2./i1); | |
a2f2f511 | 1624 | } |
65aa45f2 | 1625 | hI0->Scale(1/(Double_t)n); |
1626 | hI1->Scale(1/(Double_t)n); | |
bbf8513d | 1627 | h2->Scale(1/(Double_t)n); |
1628 | h3->Scale(1/(Double_t)n); | |
1629 | h4->Scale(1/(Double_t)n); | |
1630 | hI0I1s->Scale(1/(Double_t)n); | |
65aa45f2 | 1631 | |
1632 | TCanvas *cI0I1 = new TCanvas("cI0I1","I0 and I1",0,0,900,700); | |
1633 | cI0I1->Divide(3,2); | |
1634 | cI0I1->cd(1); | |
1635 | hI0->Draw(); | |
1636 | cI0I1->cd(2); | |
1637 | hI1->Draw(); | |
1638 | cI0I1->cd(3); | |
1639 | h2->Draw(); | |
1640 | cI0I1->cd(4); | |
1641 | h3->Draw(); | |
1642 | cI0I1->cd(5); | |
1643 | h4->Draw(); | |
bbf8513d | 1644 | cI0I1->cd(6); |
1645 | gStyle->SetPalette(1,0); | |
1646 | hI0I1s->Draw("col,Z"); | |
a2f2f511 | 1647 | |
65aa45f2 | 1648 | if(save) { |
1649 | TFile *f = new TFile(fname,"recreate"); | |
bbf8513d | 1650 | hI0I1s->Write(); |
65aa45f2 | 1651 | hI0->Write(); |
1652 | hI1->Write(); | |
1653 | h2->Write(); | |
1654 | h3->Write(); | |
1655 | h4->Write(); | |
1656 | f->Close(); | |
1657 | } | |
a2f2f511 | 1658 | return; |
1659 | } | |
1660 | ||
65aa45f2 | 1661 | void AliFastGlauber::PlotI0I1B2BDistr(Int_t n,Double_t ellCut, |
1662 | Bool_t save,Char_t *fname) | |
a2f2f511 | 1663 | { |
1664 | // | |
bbf8513d | 1665 | // Plot I0-I1 back-to-back distributions |
a2f2f511 | 1666 | // |
65aa45f2 | 1667 | Double_t i01,i11,i02,i12; |
1668 | TH2F *hI0s = new TH2F("hI0s","I_{0}'s back-to-back",100,0,100,100,0,100); | |
1669 | hI0s->SetXTitle("I_{0} [fm^{-3}]"); | |
1670 | hI0s->SetYTitle("I_{0} [fm^{-3}]"); | |
1671 | TH2F *hI1s = new TH2F("hI1s","I_{1}'s back-to-back",100,0,100,100,0,100); | |
1672 | hI1s->SetXTitle("I_{1} [fm^{-2}]"); | |
1673 | hI1s->SetYTitle("I_{1} [fm^{-2}]"); | |
a2f2f511 | 1674 | |
65aa45f2 | 1675 | for(Int_t i=0; i<n; i++) { |
1676 | GetI0I1BackToBack(i01,i11,i02,i12,ellCut); | |
1677 | hI0s->Fill(i01,i02); | |
1678 | hI1s->Fill(i11,i12); | |
1679 | } | |
1680 | hI0s->Scale(1/(Double_t)n); | |
1681 | hI1s->Scale(1/(Double_t)n); | |
1682 | ||
1683 | TCanvas *cI0I1s = new TCanvas("cI0I1s","I0 and I1 back-to-back distributions",0,0,800,400); | |
a2f2f511 | 1684 | gStyle->SetPalette(1,0); |
65aa45f2 | 1685 | cI0I1s->Divide(2,1); |
1686 | cI0I1s->cd(1); | |
1687 | hI0s->Draw("col,Z"); | |
1688 | cI0I1s->cd(2); | |
1689 | hI1s->Draw("col,Z"); | |
a2f2f511 | 1690 | |
65aa45f2 | 1691 | if(save) { |
1692 | TFile *f = new TFile(fname,"recreate"); | |
1693 | hI0s->Write(); | |
1694 | hI1s->Write(); | |
1695 | f->Close(); | |
1696 | } | |
a2f2f511 | 1697 | return; |
1698 | } | |
710a8d90 | 1699 |