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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 | ||
16 | /* $Id$ */ | |
17 | // | |
18 | // Utility class to make simple Glauber type calculations | |
19 | // for SYMMETRIC collision geometries (AA): | |
20 | // Impact parameter, production points, reaction plane dependence | |
21 | // | |
22 | // The SimulateTrigger method can be used for simple MB and hard-process | |
23 | // (binary scaling) trigger studies. | |
24 | // | |
25 | // Some basic quantities can be visualized directly. | |
26 | // | |
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. ***** | |
32 | // | |
33 | // Author: andreas.morsch@cern.ch | |
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 | // | |
49 | ||
50 | // from AliRoot | |
51 | #include "AliFastGlauber.h" | |
52 | // from root | |
53 | #include <Riostream.h> | |
54 | #include <TCanvas.h> | |
55 | #include <TF1.h> | |
56 | #include <TF2.h> | |
57 | #include <TFile.h> | |
58 | #include <TH1F.h> | |
59 | #include <TH2F.h> | |
60 | #include <TLegend.h> | |
61 | #include <TMath.h> | |
62 | #include <TROOT.h> | |
63 | #include <TRandom.h> | |
64 | #include <TStyle.h> | |
65 | ||
66 | ClassImp(AliFastGlauber) | |
67 | ||
68 | Float_t AliFastGlauber::fgBMax = 0.; | |
69 | TF1* AliFastGlauber::fgWSb = NULL; | |
70 | TF2* AliFastGlauber::fgWSbz = NULL; | |
71 | TF1* AliFastGlauber::fgWSz = NULL; | |
72 | TF1* AliFastGlauber::fgWSta = NULL; | |
73 | TF2* AliFastGlauber::fgWStarfi = NULL; | |
74 | TF2* AliFastGlauber::fgWAlmond = NULL; | |
75 | TF1* AliFastGlauber::fgWStaa = NULL; | |
76 | TF1* AliFastGlauber::fgWSgeo = NULL; | |
77 | TF1* AliFastGlauber::fgWSbinary = NULL; | |
78 | TF1* AliFastGlauber::fgWSN = NULL; | |
79 | TF1* AliFastGlauber::fgWPathLength0 = NULL; | |
80 | TF1* AliFastGlauber::fgWPathLength = NULL; | |
81 | TF1* AliFastGlauber::fgWEnergyDensity = NULL; | |
82 | TF1* AliFastGlauber::fgWIntRadius = NULL; | |
83 | TF2* AliFastGlauber::fgWKParticipants = NULL; | |
84 | TF1* AliFastGlauber::fgWParticipants = NULL; | |
85 | TF2* AliFastGlauber::fgWAlmondCurrent = NULL; | |
86 | TF2* AliFastGlauber::fgWAlmondFixedB[40]; | |
87 | const Int_t AliFastGlauber::fgkMCInts = 100000; | |
88 | Int_t AliFastGlauber::fgCounter = 0; | |
89 | ||
90 | AliFastGlauber::AliFastGlauber(): | |
91 | fWSr0(0.), | |
92 | fWSd(0.), | |
93 | fWSw(0.), | |
94 | fWSn(0.), | |
95 | fSigmaHard(0.), | |
96 | fSigmaNN(0.), | |
97 | fA(0), | |
98 | fBmin(0.), | |
99 | fBmax(0.), | |
100 | fEllDef(0), | |
101 | fName() | |
102 | { | |
103 | // Default Constructor | |
104 | fgCounter++; | |
105 | if(fgCounter>1) | |
106 | Error("AliFastGlauber","More than one instance (%d) is not supported, check your code!",fgCounter); | |
107 | ||
108 | // Defaults for Pb | |
109 | SetMaxImpact(); | |
110 | SetLengthDefinition(); | |
111 | SetPbPbLHC(); | |
112 | } | |
113 | ||
114 | AliFastGlauber::AliFastGlauber(const AliFastGlauber & gl) | |
115 | :TObject(gl), | |
116 | fWSr0(0.), | |
117 | fWSd(0.), | |
118 | fWSw(0.), | |
119 | fWSn(0.), | |
120 | fSigmaHard(0.), | |
121 | fSigmaNN(0.), | |
122 | fA(0), | |
123 | fBmin(0.), | |
124 | fBmax(0.), | |
125 | fEllDef(0), | |
126 | fName() | |
127 | { | |
128 | // Copy constructor | |
129 | gl.Copy(*this); | |
130 | } | |
131 | ||
132 | AliFastGlauber::~AliFastGlauber() | |
133 | { | |
134 | // Destructor | |
135 | fgCounter--; | |
136 | for(Int_t k=0; k<40; k++) delete fgWAlmondFixedB[k]; | |
137 | } | |
138 | ||
139 | void AliFastGlauber::SetAuAuRhic() | |
140 | { | |
141 | //Set all parameters for RHIC | |
142 | SetWoodSaxonParametersAu(); | |
143 | SetHardCrossSection(); | |
144 | SetNNCrossSection(42); | |
145 | SetNucleus(197); | |
146 | SetFileName("$(ALICE_ROOT)/FASTSIM/data/glauberAuAu.root"); | |
147 | } | |
148 | ||
149 | void AliFastGlauber::SetPbPbLHC() | |
150 | { | |
151 | //Set all parameters for LHC | |
152 | SetWoodSaxonParametersPb(); | |
153 | SetHardCrossSection(); | |
154 | SetNNCrossSection(); | |
155 | SetNucleus(); | |
156 | SetFileName(); | |
157 | } | |
158 | ||
159 | void AliFastGlauber::Init(Int_t mode) | |
160 | { | |
161 | // Initialisation | |
162 | // mode = 0; all functions are calculated | |
163 | // mode = 1; overlap function is read from file (for Pb-Pb only) | |
164 | // mode = 2; interaction almond functions are read from file | |
165 | // USE THIS FOR PATH LENGTH CALC.! | |
166 | // | |
167 | ||
168 | // | |
169 | Reset(); | |
170 | // | |
171 | ||
172 | // | |
173 | // Wood-Saxon | |
174 | // | |
175 | fgWSb = new TF1("WSb", WSb, 0, fgBMax, 4); | |
176 | fgWSb->SetParameter(0, fWSr0); | |
177 | fgWSb->SetParameter(1, fWSd); | |
178 | fgWSb->SetParameter(2, fWSw); | |
179 | fgWSb->SetParameter(3, fWSn); | |
180 | ||
181 | fgWSbz = new TF2("WSbz", WSbz, 0, fgBMax, 0, fgBMax, 4); | |
182 | fgWSbz->SetParameter(0, fWSr0); | |
183 | fgWSbz->SetParameter(1, fWSd); | |
184 | fgWSbz->SetParameter(2, fWSw); | |
185 | fgWSbz->SetParameter(3, fWSn); | |
186 | ||
187 | fgWSz = new TF1("WSz", WSz, 0, fgBMax, 5); | |
188 | fgWSz->SetParameter(0, fWSr0); | |
189 | fgWSz->SetParameter(1, fWSd); | |
190 | fgWSz->SetParameter(2, fWSw); | |
191 | fgWSz->SetParameter(3, fWSn); | |
192 | ||
193 | // | |
194 | // Thickness | |
195 | // | |
196 | fgWSta = new TF1("WSta", WSta, 0., fgBMax, 0); | |
197 | ||
198 | // | |
199 | // Overlap Kernel | |
200 | // | |
201 | fgWStarfi = new TF2("WStarfi", WStarfi, 0., fgBMax, 0., TMath::Pi(), 1); | |
202 | fgWStarfi->SetParameter(0, 0.); | |
203 | fgWStarfi->SetNpx(200); | |
204 | fgWStarfi->SetNpy(20); | |
205 | ||
206 | // | |
207 | // Participants Kernel | |
208 | // | |
209 | fgWKParticipants = new TF2("WKParticipants", WKParticipants, 0., fgBMax, 0., TMath::Pi(), 3); | |
210 | fgWKParticipants->SetParameter(0, 0.); | |
211 | fgWKParticipants->SetParameter(1, fSigmaNN); | |
212 | fgWKParticipants->SetParameter(2, fA); | |
213 | fgWKParticipants->SetNpx(200); | |
214 | fgWKParticipants->SetNpy(20); | |
215 | ||
216 | // | |
217 | // Overlap and Participants | |
218 | // | |
219 | if (!mode) { | |
220 | fgWStaa = new TF1("WStaa", WStaa, 0., fgBMax, 1); | |
221 | fgWStaa->SetNpx(100); | |
222 | fgWStaa->SetParameter(0,fA); | |
223 | fgWStaa->SetNpx(100); | |
224 | fgWParticipants = new TF1("WParticipants", WParticipants, 0., fgBMax, 2); | |
225 | fgWParticipants->SetParameter(0, fSigmaNN); | |
226 | fgWParticipants->SetParameter(1, fA); | |
227 | fgWParticipants->SetNpx(100); | |
228 | } else { | |
229 | Info("Init","Reading overlap function from file %s",fName.Data()); | |
230 | TFile* f = new TFile(fName.Data()); | |
231 | if(!f->IsOpen()){ | |
232 | Fatal("Init", "Could not open file %s",fName.Data()); | |
233 | } | |
234 | fgWStaa = (TF1*) f->Get("WStaa"); | |
235 | fgWParticipants = (TF1*) f->Get("WParticipants"); | |
236 | delete f; | |
237 | } | |
238 | ||
239 | // | |
240 | // Energy Density | |
241 | // | |
242 | fgWEnergyDensity = new TF1("WEnergyDensity", WEnergyDensity, 0., 2. * fWSr0, 1); | |
243 | fgWEnergyDensity->SetParameter(0, fWSr0 + 1.); | |
244 | ||
245 | // | |
246 | // Geometrical Cross-Section | |
247 | // | |
248 | fgWSgeo = new TF1("WSgeo", WSgeo, 0., fgBMax, 1); | |
249 | fgWSgeo->SetParameter(0,fSigmaNN); //mbarn | |
250 | fgWSgeo->SetNpx(100); | |
251 | ||
252 | // | |
253 | // Hard cross section (binary collisions) | |
254 | // | |
255 | fgWSbinary = new TF1("WSbinary", WSbinary, 0., fgBMax, 1); | |
256 | fgWSbinary->SetParameter(0, fSigmaHard); //mbarn | |
257 | fgWSbinary->SetNpx(100); | |
258 | ||
259 | // | |
260 | // Hard collisions per event | |
261 | // | |
262 | fgWSN = new TF1("WSN", WSN, 0., fgBMax, 1); | |
263 | fgWSN->SetNpx(100); | |
264 | ||
265 | // | |
266 | // Almond shaped interaction region | |
267 | // | |
268 | fgWAlmond = new TF2("WAlmond", WAlmond, -fgBMax, fgBMax, -fgBMax, fgBMax, 1); | |
269 | fgWAlmond->SetParameter(0, 0.); | |
270 | fgWAlmond->SetNpx(200); | |
271 | fgWAlmond->SetNpy(200); | |
272 | ||
273 | if(mode==2) { | |
274 | Info("Init","Reading interaction almonds from file: %s",fName.Data()); | |
275 | Char_t almondName[100]; | |
276 | TFile* ff = new TFile(fName.Data()); | |
277 | for(Int_t k=0; k<40; k++) { | |
278 | sprintf(almondName,"WAlmondFixedB%d",k); | |
279 | fgWAlmondCurrent = (TF2*)ff->Get(almondName); | |
280 | fgWAlmondFixedB[k] = fgWAlmondCurrent; | |
281 | } | |
282 | delete ff; | |
283 | } | |
284 | ||
285 | fgWIntRadius = new TF1("WIntRadius", WIntRadius, 0., fgBMax, 1); | |
286 | fgWIntRadius->SetParameter(0, 0.); | |
287 | ||
288 | // | |
289 | // Path Length as a function of Phi | |
290 | // | |
291 | fgWPathLength0 = new TF1("WPathLength0", WPathLength0, -TMath::Pi(), TMath::Pi(), 2); | |
292 | fgWPathLength0->SetParameter(0, 0.); | |
293 | fgWPathLength0->SetParameter(1, 0.); //Pathlength definition | |
294 | ||
295 | fgWPathLength = new TF1("WPathLength", WPathLength, -TMath::Pi(), TMath::Pi(), 3); | |
296 | fgWPathLength->SetParameter(0, 0.); //Impact Parameter | |
297 | fgWPathLength->SetParameter(1, 1000.); //Number of interactions used for average | |
298 | fgWPathLength->SetParameter(2, 0); //Pathlength definition | |
299 | } | |
300 | ||
301 | void AliFastGlauber::Reset() const | |
302 | { | |
303 | // | |
304 | // Reset dynamic allocated formulas | |
305 | // in case init is called twice | |
306 | ||
307 | if(fgWSb) delete fgWSb; | |
308 | if(fgWSbz) delete fgWSbz; | |
309 | if(fgWSz) delete fgWSz; | |
310 | if(fgWSta) delete fgWSta; | |
311 | if(fgWStarfi) delete fgWStarfi; | |
312 | if(fgWAlmond) delete fgWAlmond; | |
313 | if(fgWStaa) delete fgWStaa; | |
314 | if(fgWSgeo) delete fgWSgeo; | |
315 | if(fgWSbinary) delete fgWSbinary; | |
316 | if(fgWSN) delete fgWSN; | |
317 | if(fgWPathLength0) delete fgWPathLength0; | |
318 | if(fgWPathLength) delete fgWPathLength; | |
319 | if(fgWEnergyDensity) delete fgWEnergyDensity; | |
320 | if(fgWIntRadius) delete fgWIntRadius; | |
321 | if(fgWKParticipants) delete fgWKParticipants; | |
322 | if(fgWParticipants) delete fgWParticipants; | |
323 | } | |
324 | ||
325 | void AliFastGlauber::DrawWSb() const | |
326 | { | |
327 | // | |
328 | // Draw Wood-Saxon Nuclear Density Function | |
329 | // | |
330 | TCanvas *c1 = new TCanvas("c1","Wood Saxon",400,10,600,700); | |
331 | c1->cd(); | |
332 | Double_t max=fgWSb->GetMaximum(0,fgBMax)*1.01; | |
333 | 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); | |
334 | h2f->SetStats(0); | |
335 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
336 | h2f->GetYaxis()->SetNoExponent(kTRUE); | |
337 | h2f->GetYaxis()->SetTitle("#rho [fm^{-3}]"); | |
338 | h2f->Draw(); | |
339 | fgWSb->Draw("same"); | |
340 | TLegend *l1a = new TLegend(0.45,0.6,.90,0.8); | |
341 | l1a->SetFillStyle(0); | |
342 | l1a->SetBorderSize(0); | |
343 | Char_t label[100]; | |
344 | sprintf(label,"r_{0} = %.2f fm",fWSr0); | |
345 | l1a->AddEntry(fgWSb,label,""); | |
346 | sprintf(label,"d = %.2f fm",fWSd); | |
347 | l1a->AddEntry(fgWSb,label,""); | |
348 | sprintf(label,"n = %.2e fm^{-3}",fWSn); | |
349 | l1a->AddEntry(fgWSb,label,""); | |
350 | sprintf(label,"#omega = %.2f",fWSw); | |
351 | l1a->AddEntry(fgWSb,label,""); | |
352 | l1a->Draw(); | |
353 | c1->Update(); | |
354 | } | |
355 | ||
356 | void AliFastGlauber::DrawOverlap() const | |
357 | { | |
358 | // | |
359 | // Draw Overlap Function | |
360 | // | |
361 | TCanvas *c2 = new TCanvas("c2","Overlap",400,10,600,700); | |
362 | c2->cd(); | |
363 | Double_t max=fgWStaa->GetMaximum(0,fgBMax)*1.01; | |
364 | TH2F *h2f=new TH2F("h2ftaa","Overlap function: T_{AB} [mbarn^{-1}]",2,0,fgBMax,2,0, max); | |
365 | h2f->SetStats(0); | |
366 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
367 | h2f->GetYaxis()->SetTitle("T_{AB} [mbarn^{-1}]"); | |
368 | h2f->Draw(); | |
369 | fgWStaa->Draw("same"); | |
370 | } | |
371 | ||
372 | void AliFastGlauber::DrawParticipants() const | |
373 | { | |
374 | // | |
375 | // Draw Number of Participants Npart | |
376 | // | |
377 | TCanvas *c3 = new TCanvas("c3","Participants",400,10,600,700); | |
378 | c3->cd(); | |
379 | Double_t max=fgWParticipants->GetMaximum(0,fgBMax)*1.01; | |
380 | TH2F *h2f=new TH2F("h2fpart","Number of Participants",2,0,fgBMax,2,0,max); | |
381 | h2f->SetStats(0); | |
382 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
383 | h2f->GetYaxis()->SetTitle("N_{part}"); | |
384 | h2f->Draw(); | |
385 | fgWParticipants->Draw("same"); | |
386 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
387 | l1a->SetFillStyle(0); | |
388 | l1a->SetBorderSize(0); | |
389 | Char_t label[100]; | |
390 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
391 | l1a->AddEntry(fgWParticipants,label,""); | |
392 | l1a->Draw(); | |
393 | c3->Update(); | |
394 | } | |
395 | ||
396 | void AliFastGlauber::DrawThickness() const | |
397 | { | |
398 | // | |
399 | // Draw Thickness Function | |
400 | // | |
401 | TCanvas *c4 = new TCanvas("c4","Thickness",400,10,600,700); | |
402 | c4->cd(); | |
403 | Double_t max=fgWSta->GetMaximum(0,fgBMax)*1.01; | |
404 | TH2F *h2f=new TH2F("h2fta","Thickness function: T_{A} [fm^{-2}]",2,0,fgBMax,2,0,max); | |
405 | h2f->SetStats(0); | |
406 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
407 | h2f->GetYaxis()->SetTitle("T_{A} [fm^{-2}]"); | |
408 | h2f->Draw(); | |
409 | fgWSta->Draw("same"); | |
410 | } | |
411 | ||
412 | void AliFastGlauber::DrawGeo() const | |
413 | { | |
414 | // | |
415 | // Draw Geometrical Cross-Section | |
416 | // | |
417 | TCanvas *c5 = new TCanvas("c5","Geometrical Cross-Section",400,10,600,700); | |
418 | c5->cd(); | |
419 | Double_t max=fgWSgeo->GetMaximum(0,fgBMax)*1.01; | |
420 | TH2F *h2f=new TH2F("h2fgeo","Differential Geometrical Cross-Section: d#sigma^{geo}_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
421 | h2f->SetStats(0); | |
422 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
423 | h2f->GetYaxis()->SetTitle("d#sigma^{geo}_{AB}/db [fm]"); | |
424 | h2f->Draw(); | |
425 | fgWSgeo->Draw("same"); | |
426 | TLegend *l1a = new TLegend(0.10,0.8,.40,0.9); | |
427 | l1a->SetFillStyle(0); | |
428 | l1a->SetBorderSize(0); | |
429 | Char_t label[100]; | |
430 | sprintf(label,"#sigma_{NN}^{inel.} = %.1f mbarn",fSigmaNN); | |
431 | l1a->AddEntry(fgWSgeo,label,""); | |
432 | l1a->Draw(); | |
433 | c5->Update(); | |
434 | } | |
435 | ||
436 | void AliFastGlauber::DrawBinary() const | |
437 | { | |
438 | // | |
439 | // Draw Binary Cross-Section | |
440 | // | |
441 | TCanvas *c6 = new TCanvas("c6","Binary Cross-Section",400,10,600,700); | |
442 | c6->cd(); | |
443 | Double_t max=fgWSbinary->GetMaximum(0,fgBMax)*1.01; | |
444 | TH2F *h2f=new TH2F("h2fbinary","Differential Binary Cross-Section: #sigma^{hard}_{NN} dT_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
445 | h2f->SetStats(0); | |
446 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
447 | h2f->GetYaxis()->SetTitle("d#sigma^{hard}_{AB}/db [fm]"); | |
448 | h2f->Draw(); | |
449 | fgWSbinary->Draw("same"); | |
450 | TLegend *l1a = new TLegend(0.50,0.8,.90,0.9); | |
451 | l1a->SetFillStyle(0); | |
452 | l1a->SetBorderSize(0); | |
453 | Char_t label[100]; | |
454 | sprintf(label,"#sigma_{NN}^{hard} = %.1f mbarn",fSigmaHard); | |
455 | l1a->AddEntry(fgWSb,label,""); | |
456 | l1a->Draw(); | |
457 | c6->Update(); | |
458 | } | |
459 | ||
460 | void AliFastGlauber::DrawN() const | |
461 | { | |
462 | // | |
463 | // Draw Binaries per event (Ncoll) | |
464 | // | |
465 | TCanvas *c7 = new TCanvas("c7","Binaries per event",400,10,600,700); | |
466 | c7->cd(); | |
467 | Double_t max=fgWSN->GetMaximum(0,fgBMax)*1.01; | |
468 | TH2F *h2f=new TH2F("h2fhardcols","Number of hard collisions: T_{AB} #sigma^{hard}_{NN}/#sigma_{AB}^{geo}",2,0,fgBMax,2,0,max); | |
469 | h2f->SetStats(0); | |
470 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
471 | h2f->GetYaxis()->SetTitle("N_{coll}"); | |
472 | h2f->Draw(); | |
473 | fgWSN->Draw("same"); | |
474 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
475 | l1a->SetFillStyle(0); | |
476 | l1a->SetBorderSize(0); | |
477 | Char_t label[100]; | |
478 | sprintf(label,"#sigma^{hard}_{NN} = %.1f mbarn",fSigmaHard); | |
479 | l1a->AddEntry(fgWSN,label,""); | |
480 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
481 | l1a->AddEntry(fgWSN,label,""); | |
482 | l1a->Draw(); | |
483 | c7->Update(); | |
484 | } | |
485 | ||
486 | void AliFastGlauber::DrawKernel(Double_t b) const | |
487 | { | |
488 | // | |
489 | // Draw Kernel | |
490 | // | |
491 | TCanvas *c8 = new TCanvas("c8","Kernel",400,10,600,700); | |
492 | c8->cd(); | |
493 | fgWStarfi->SetParameter(0, b); | |
494 | 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()); | |
495 | h2f->SetStats(0); | |
496 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
497 | h2f->GetYaxis()->SetTitle("#phi [rad]"); | |
498 | h2f->Draw(); | |
499 | fgWStarfi->Draw("same"); | |
500 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
501 | l1a->SetFillStyle(0); | |
502 | l1a->SetBorderSize(0); | |
503 | Char_t label[100]; | |
504 | sprintf(label,"b = %.1f fm",b); | |
505 | l1a->AddEntry(fgWStarfi,label,""); | |
506 | l1a->Draw(); | |
507 | c8->Update(); | |
508 | } | |
509 | ||
510 | void AliFastGlauber::DrawAlmond(Double_t b) const | |
511 | { | |
512 | // | |
513 | // Draw Interaction Almond | |
514 | // | |
515 | TCanvas *c9 = new TCanvas("c9","Almond",400,10,600,700); | |
516 | c9->cd(); | |
517 | fgWAlmond->SetParameter(0, b); | |
518 | TH2F *h2f=new TH2F("h2falmond","Interaction Almond [fm^{-4}]",2,0,fgBMax,2,0,fgBMax); | |
519 | h2f->SetStats(0); | |
520 | h2f->GetXaxis()->SetTitle("x [fm]"); | |
521 | h2f->GetYaxis()->SetTitle("y [fm]"); | |
522 | h2f->Draw(); | |
523 | fgWAlmond->Draw("same"); | |
524 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
525 | l1a->SetFillStyle(0); | |
526 | l1a->SetBorderSize(0); | |
527 | Char_t label[100]; | |
528 | sprintf(label,"b = %.1f fm",b); | |
529 | l1a->AddEntry(fgWAlmond,label,""); | |
530 | l1a->Draw(); | |
531 | c9->Update(); | |
532 | } | |
533 | ||
534 | void AliFastGlauber::DrawEnergyDensity() const | |
535 | { | |
536 | // | |
537 | // Draw energy density | |
538 | // | |
539 | TCanvas *c10 = new TCanvas("c10","Energy Density",400, 10, 600, 700); | |
540 | c10->cd(); | |
541 | fgWEnergyDensity->SetMinimum(0.); | |
542 | Double_t max=fgWEnergyDensity->GetMaximum(0,fgWEnergyDensity->GetParameter(0))*1.01; | |
543 | TH2F *h2f=new TH2F("h2fenergydens","Energy density",2,0,fgBMax,2,0,max); | |
544 | h2f->SetStats(0); | |
545 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
546 | h2f->GetYaxis()->SetTitle("fm^{-4}"); | |
547 | h2f->Draw(); | |
548 | fgWEnergyDensity->Draw("same"); | |
549 | c10->Update(); | |
550 | } | |
551 | ||
552 | void AliFastGlauber::DrawPathLength0(Double_t b, Int_t iopt) const | |
553 | { | |
554 | // | |
555 | // Draw Path Length | |
556 | // | |
557 | TCanvas *c11 = new TCanvas("c11","Path Length",400,10,600,700); | |
558 | c11->cd(); | |
559 | fgWPathLength0->SetParameter(0, b); | |
560 | fgWPathLength0->SetParameter(1, Double_t(iopt)); | |
561 | fgWPathLength0->SetMinimum(0.); | |
562 | fgWPathLength0->SetMaximum(10.); | |
563 | TH2F *h2f=new TH2F("h2fpathlength0","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
564 | h2f->SetStats(0); | |
565 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
566 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
567 | h2f->Draw(); | |
568 | fgWPathLength0->Draw("same"); | |
569 | } | |
570 | ||
571 | void AliFastGlauber::DrawPathLength(Double_t b , Int_t ni, Int_t iopt) const | |
572 | { | |
573 | // | |
574 | // Draw Path Length | |
575 | // | |
576 | TCanvas *c12 = new TCanvas("c12","Path Length",400,10,600,700); | |
577 | c12->cd(); | |
578 | fgWAlmond->SetParameter(0, b); | |
579 | fgWPathLength->SetParameter(0, b); | |
580 | fgWPathLength->SetParameter(1, Double_t (ni)); | |
581 | fgWPathLength->SetParameter(2, Double_t (iopt)); | |
582 | fgWPathLength->SetMinimum(0.); | |
583 | fgWPathLength->SetMaximum(10.); | |
584 | TH2F *h2f=new TH2F("h2fpathlength","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
585 | h2f->SetStats(0); | |
586 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
587 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
588 | h2f->Draw(); | |
589 | fgWPathLength->Draw("same"); | |
590 | } | |
591 | ||
592 | void AliFastGlauber::DrawIntRadius(Double_t b) const | |
593 | { | |
594 | // | |
595 | // Draw Interaction Radius | |
596 | // | |
597 | TCanvas *c13 = new TCanvas("c13","Interaction Radius",400,10,600,700); | |
598 | c13->cd(); | |
599 | fgWIntRadius->SetParameter(0, b); | |
600 | fgWIntRadius->SetMinimum(0); | |
601 | Double_t max=fgWIntRadius->GetMaximum(0,fgBMax)*1.01; | |
602 | TH2F *h2f=new TH2F("h2fintradius","Interaction Density",2,0.,fgBMax,2,0,max); | |
603 | h2f->SetStats(0); | |
604 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
605 | h2f->GetYaxis()->SetTitle("[fm^{-3}]"); | |
606 | h2f->Draw(); | |
607 | fgWIntRadius->Draw("same"); | |
608 | } | |
609 | ||
610 | Double_t AliFastGlauber::WSb(Double_t* x, Double_t* par) | |
611 | { | |
612 | // | |
613 | // Woods-Saxon Parameterisation | |
614 | // as a function of radius (xx) | |
615 | // | |
616 | const Double_t kxx = x[0]; //fm | |
617 | const Double_t kr0 = par[0]; //fm | |
618 | const Double_t kd = par[1]; //fm | |
619 | const Double_t kw = par[2]; //no units | |
620 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
621 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
622 | return y; //fm^-3 | |
623 | } | |
624 | ||
625 | Double_t AliFastGlauber::WSbz(Double_t* x, Double_t* par) | |
626 | { | |
627 | // | |
628 | // Wood Saxon Parameterisation | |
629 | // as a function of z and b | |
630 | // | |
631 | const Double_t kbb = x[0]; //fm | |
632 | const Double_t kzz = x[1]; //fm | |
633 | const Double_t kr0 = par[0]; //fm | |
634 | const Double_t kd = par[1]; //fm | |
635 | const Double_t kw = par[2]; //no units | |
636 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
637 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
638 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
639 | return y; //fm^-3 | |
640 | } | |
641 | ||
642 | Double_t AliFastGlauber::WSz(Double_t* x, Double_t* par) | |
643 | { | |
644 | // | |
645 | // Wood Saxon Parameterisation | |
646 | // as a function of z for fixed b | |
647 | // | |
648 | const Double_t kzz = x[0]; //fm | |
649 | const Double_t kr0 = par[0]; //fm | |
650 | const Double_t kd = par[1]; //fm | |
651 | const Double_t kw = par[2]; //no units | |
652 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
653 | const Double_t kbb = par[4]; //fm | |
654 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
655 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
656 | return y; //fm^-3 | |
657 | } | |
658 | ||
659 | Double_t AliFastGlauber::WSta(Double_t* x, Double_t* /*par*/) | |
660 | { | |
661 | // | |
662 | // Thickness function T_A | |
663 | // as a function of b | |
664 | // | |
665 | const Double_t kb = x[0]; | |
666 | fgWSz->SetParameter(4, kb); | |
667 | Double_t y = 2. * fgWSz->Integral(0., fgBMax); | |
668 | return y; //fm^-2 | |
669 | } | |
670 | ||
671 | Double_t AliFastGlauber::WStarfi(Double_t* x, Double_t* par) | |
672 | { | |
673 | // | |
674 | // Kernel for overlap function: T_A(s)*T_A(s-b) | |
675 | // as a function of r and phi | |
676 | const Double_t kr1 = x[0]; | |
677 | const Double_t kphi = x[1]; | |
678 | const Double_t kb = par[0]; | |
679 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
680 | Double_t y = kr1 * fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
681 | return y; //fm^-3 | |
682 | } | |
683 | ||
684 | Double_t AliFastGlauber::WStaa(Double_t* x, Double_t* par) | |
685 | { | |
686 | // | |
687 | // Overlap function | |
688 | // T_{AB}=Int d2s T_A(s)*T_B(s-b) | |
689 | // as a function of b | |
690 | // (normalized to fA*fB) | |
691 | // | |
692 | const Double_t kb = x[0]; | |
693 | const Double_t ka = par[0]; | |
694 | fgWStarfi->SetParameter(0, kb); | |
695 | ||
696 | // root integration seems to fail | |
697 | /* | |
698 | Double_t al[2]; | |
699 | Double_t bl[2]; | |
700 | al[0] = 1e-6; | |
701 | al[1] = fgBMax; | |
702 | bl[0] = 0.; | |
703 | bl[1] = TMath::Pi(); | |
704 | Double_t err; | |
705 | ||
706 | Double_t y = 2. * 208. * 208. * fgWStarfi->IntegralMultiple(2, al, bl, 0.001, err); | |
707 | printf("WStaa: %.5e %.5e %.5e\n", b, y, err); | |
708 | */ | |
709 | ||
710 | // | |
711 | // MC Integration | |
712 | // | |
713 | Double_t y = 0; | |
714 | ||
715 | ||
716 | for (Int_t i = 0; i < fgkMCInts; i++) | |
717 | { | |
718 | ||
719 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); | |
720 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
721 | y += fgWStarfi->Eval(kb1, kphi); | |
722 | } | |
723 | y *= 2. * TMath::Pi() * fgBMax / fgkMCInts; //fm^-2 | |
724 | y *= ka * ka * 0.1; //mbarn^-1 | |
725 | return y; | |
726 | } | |
727 | ||
728 | Double_t AliFastGlauber::WKParticipants(Double_t* x, Double_t* par) | |
729 | { | |
730 | // | |
731 | // Kernel for number of participants | |
732 | // as a function of r and phi | |
733 | // | |
734 | const Double_t kr1 = x[0]; | |
735 | const Double_t kphi = x[1]; | |
736 | const Double_t kb = par[0]; //fm | |
737 | const Double_t ksig = par[1]; //mbarn | |
738 | const Double_t ka = par[2]; //mass number | |
739 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 +kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
740 | const Double_t kxsi = fgWSta->Eval(kr2) * ksig * 0.1; //no units | |
741 | /* | |
742 | Double_t y=(1-TMath::Power((1-xsi),aa)) | |
743 | */ | |
744 | Double_t a = ka; | |
745 | Double_t sum = ka * kxsi; | |
746 | Double_t y = sum; | |
747 | for (Int_t i = 1; i <= ka; i++) | |
748 | { | |
749 | a--; | |
750 | sum *= (-kxsi) * a / Float_t(i+1); | |
751 | y += sum; | |
752 | } | |
753 | y *= kr1 * fgWSta->Eval(kr1); | |
754 | return y; //fm^-1 | |
755 | } | |
756 | ||
757 | Double_t AliFastGlauber::WParticipants(Double_t* x, Double_t* par) | |
758 | { | |
759 | // | |
760 | // Number of Participants as | |
761 | // a function of b | |
762 | // | |
763 | const Double_t kb = x[0]; | |
764 | const Double_t ksig = par[0]; //mbarn | |
765 | const Double_t ka = par[1]; //mass number | |
766 | fgWKParticipants->SetParameter(0, kb); | |
767 | fgWKParticipants->SetParameter(1, ksig); | |
768 | fgWKParticipants->SetParameter(2, ka); | |
769 | ||
770 | // | |
771 | // MC Integration | |
772 | // | |
773 | Double_t y = 0; | |
774 | for (Int_t i = 0; i < fgkMCInts; i++) | |
775 | { | |
776 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); | |
777 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
778 | y += fgWKParticipants->Eval(kb1, kphi); | |
779 | } | |
780 | y *= 2. * ka * 2. * TMath::Pi() * fgBMax / fgkMCInts; | |
781 | return y; //no units | |
782 | } | |
783 | ||
784 | Double_t AliFastGlauber::WSgeo(Double_t* x, Double_t* par) | |
785 | { | |
786 | // | |
787 | // Geometrical Cross-Section | |
788 | // as a function of b | |
789 | // | |
790 | const Double_t kb = x[0]; //fm | |
791 | const Double_t ksigNN = par[0]; //mbarn | |
792 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
793 | Double_t y = 2. * TMath::Pi() * kb * (1. - TMath::Exp(- ksigNN * ktaa)); | |
794 | return y; //fm | |
795 | } | |
796 | ||
797 | Double_t AliFastGlauber::WSbinary(Double_t* x, Double_t* par) | |
798 | { | |
799 | // | |
800 | // Number of binary hard collisions | |
801 | // as a function of b | |
802 | // | |
803 | const Double_t kb = x[0]; //fm | |
804 | const Double_t ksig = par[0]; //mbarn | |
805 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
806 | Double_t y = 2. * TMath::Pi() * kb * ksig * ktaa; | |
807 | return y; //fm | |
808 | } | |
809 | ||
810 | Double_t AliFastGlauber::WSN(Double_t* x, Double_t* /*par*/) | |
811 | { | |
812 | // | |
813 | // Number of hard processes per event | |
814 | // as a function of b | |
815 | const Double_t kb = x[0]; | |
816 | Double_t y = fgWSbinary->Eval(kb)/fgWSgeo->Eval(kb); | |
817 | return y; //no units | |
818 | } | |
819 | ||
820 | Double_t AliFastGlauber::WEnergyDensity(Double_t* x, Double_t* par) | |
821 | { | |
822 | // | |
823 | // Initial energy density | |
824 | // as a function of the impact parameter | |
825 | // | |
826 | const Double_t kb = x[0]; | |
827 | const Double_t krA = par[0]; | |
828 | // | |
829 | // Attention: area of transverse reaction zone in hard-sphere approximation ! | |
830 | const Double_t krA2=krA*krA; | |
831 | const Double_t kb2=kb*kb; | |
832 | const Double_t ksaa = (TMath::Pi() - 2. * TMath::ASin(kb/ 2./ krA)) * krA2 | |
833 | - kb * TMath::Sqrt(krA2 - kb2/ 4.); //fm^2 | |
834 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
835 | Double_t y=ktaa/ksaa*10; | |
836 | return y; //fm^-4 | |
837 | } | |
838 | ||
839 | Double_t AliFastGlauber::WAlmond(Double_t* x, Double_t* par) | |
840 | { | |
841 | // | |
842 | // Almond shaped interaction region | |
843 | // as a function of cartesian x,y. | |
844 | // | |
845 | const Double_t kb = par[0]; | |
846 | const Double_t kxx = x[0] + kb/2.; | |
847 | const Double_t kyy = x[1]; | |
848 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
849 | const Double_t kphi = TMath::ATan2(kyy,kxx); | |
850 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
851 | // | |
852 | // Interaction probability calculated as product of thicknesses | |
853 | // | |
854 | Double_t y = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
855 | return y; //fm^-4 | |
856 | } | |
857 | ||
858 | Double_t AliFastGlauber::WIntRadius(Double_t* x, Double_t* par) | |
859 | { | |
860 | // | |
861 | // Average interaction density over radius | |
862 | // at which interaction takes place | |
863 | // as a function of radius | |
864 | // | |
865 | const Double_t kr = x[0]; | |
866 | const Double_t kb = par[0]; | |
867 | fgWAlmond->SetParameter(0, kb); | |
868 | // Average over phi in small steps | |
869 | const Double_t kdphi = 2. * TMath::Pi() / 100.; | |
870 | Double_t phi = 0.; | |
871 | Double_t y = 0.; | |
872 | for (Int_t i = 0; i < 100; i++) { | |
873 | const Double_t kxx = kr * TMath::Cos(phi); | |
874 | const Double_t kyy = kr * TMath::Sin(phi); | |
875 | y += fgWAlmond->Eval(kxx,kyy); | |
876 | phi += kdphi; | |
877 | } // phi loop | |
878 | // Result multiplied by Jacobian (2 pi r) | |
879 | y *= 2. * TMath::Pi() * kr / 100.; | |
880 | return y; //fm^-3 | |
881 | } | |
882 | ||
883 | Double_t AliFastGlauber::WPathLength0(Double_t* x, Double_t* par) | |
884 | { | |
885 | // | |
886 | // Path Length as a function of phi | |
887 | // for interaction point fixed at (0,0) | |
888 | // as a function of phi-direction | |
889 | // | |
890 | // Phi direction in Almond | |
891 | const Double_t kphi0 = x[0]; | |
892 | const Double_t kb = par[0]; | |
893 | // Path Length definition | |
894 | const Int_t kiopt = Int_t(par[1]); | |
895 | ||
896 | // Step along radial direction phi | |
897 | const Int_t kNp = 100; // Steps in r | |
898 | const Double_t kDr = fgBMax/kNp; | |
899 | Double_t r = 0.; | |
900 | Double_t rw = 0.; | |
901 | Double_t w = 0.; | |
902 | for (Int_t i = 0; i < kNp; i++) { | |
903 | // | |
904 | // Transform into target frame | |
905 | // | |
906 | const Double_t kxx = r * TMath::Cos(kphi0) + kb / 2.; | |
907 | const Double_t kyy = r * TMath::Sin(kphi0); | |
908 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
909 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
910 | // Radius in projectile frame | |
911 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
912 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
913 | ||
914 | rw += ky * r; | |
915 | w += ky; | |
916 | r += kDr; | |
917 | } // radial steps | |
918 | ||
919 | Double_t y=0.; | |
920 | if (!kiopt) // My length definition (is exact for hard disk) | |
921 | if(w) y= 2. * rw / w; | |
922 | else { | |
923 | const Double_t knorm=fgWSta->Eval(1e-4); | |
924 | if(knorm) y = TMath::Sqrt(2. * rw * kDr / knorm / knorm); | |
925 | } | |
926 | return y; //fm | |
927 | } | |
928 | ||
929 | Double_t AliFastGlauber::WPathLength(Double_t* x, Double_t* par) | |
930 | { | |
931 | // | |
932 | // Path Length as a function of phi | |
933 | // Interaction point from random distribution | |
934 | // as a function of the phi-direction | |
935 | const Double_t kphi0 = x[0]; | |
936 | const Double_t kb = par[0]; | |
937 | fgWAlmond->SetParameter(0, kb); | |
938 | const Int_t kNpi = Int_t (par[1]); //Number of interactions | |
939 | const Int_t kiopt = Int_t(par[2]); //Path Length definition | |
940 | ||
941 | // | |
942 | // r-steps | |
943 | // | |
944 | const Int_t kNp = 100; | |
945 | const Double_t kDr = fgBMax/Double_t(kNp); | |
946 | Double_t l = 0.; // Path length | |
947 | for (Int_t in = 0; in < kNpi; in ++) { | |
948 | Double_t rw = 0.; | |
949 | Double_t w = 0.; | |
950 | // Interaction point | |
951 | Double_t x0, y0; | |
952 | fgWAlmond->GetRandom2(x0, y0); | |
953 | // Initial radius | |
954 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
955 | const Int_t knps = Int_t ((fgBMax - kr0)/kDr) - 1; | |
956 | ||
957 | // Radial steps | |
958 | Double_t r = 0.; | |
959 | for (Int_t i = 0; (i < knps ); i++) { | |
960 | // Transform into target frame | |
961 | const Double_t kxx = x0 + r * TMath::Cos(kphi0) + kb / 2.; | |
962 | const Double_t kyy = y0 + r * TMath::Sin(kphi0); | |
963 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
964 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
965 | // Radius in projectile frame | |
966 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
967 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
968 | ||
969 | rw += ky * r; | |
970 | w += ky; | |
971 | r += kDr; | |
972 | } // steps | |
973 | // Average over interactions | |
974 | if (!kiopt) { | |
975 | if(w) l += (2. * rw / w); | |
976 | } else { | |
977 | const Double_t knorm=fgWSta->Eval(1e-4); | |
978 | if(knorm) l+= 2. * rw * kDr / knorm / knorm; | |
979 | } | |
980 | } // interactions | |
981 | Double_t ret=0; | |
982 | if (!kiopt) | |
983 | ret= l / kNpi; | |
984 | else | |
985 | ret=TMath::Sqrt( l / kNpi); | |
986 | return ret; //fm | |
987 | } | |
988 | ||
989 | Double_t AliFastGlauber::CrossSection(Double_t b1, Double_t b2) const | |
990 | { | |
991 | // | |
992 | // Return the geometrical cross-section integrated from b1 to b2 | |
993 | // | |
994 | return fgWSgeo->Integral(b1, b2)*10.; //mbarn | |
995 | } | |
996 | ||
997 | Double_t AliFastGlauber::HardCrossSection(Double_t b1, Double_t b2) const | |
998 | { | |
999 | // | |
1000 | // Return the hard cross-section integrated from b1 to b2 | |
1001 | // | |
1002 | return fgWSbinary->Integral(b1, b2)*10.; //mbarn | |
1003 | } | |
1004 | ||
1005 | Double_t AliFastGlauber::FractionOfHardCrossSection(Double_t b1, Double_t b2) const | |
1006 | { | |
1007 | // | |
1008 | // Return fraction of hard cross-section integrated from b1 to b2 | |
1009 | // | |
1010 | return fgWSbinary->Integral(b1, b2)/fgWSbinary->Integral(0., 100.); | |
1011 | } | |
1012 | ||
1013 | Double_t AliFastGlauber::NHard(Double_t b1, Double_t b2) const | |
1014 | { | |
1015 | // | |
1016 | // Number of binary hard collisions | |
1017 | // as a function of b (nucl/ex/0302016 eq. 19) | |
1018 | // | |
1019 | const Double_t kshard=HardCrossSection(b1,b2); | |
1020 | const Double_t ksgeo=CrossSection(b1,b2); | |
1021 | if(ksgeo>0) | |
1022 | return kshard/ksgeo; | |
1023 | else return -1; | |
1024 | } | |
1025 | ||
1026 | Double_t AliFastGlauber::Binaries(Double_t b) const | |
1027 | { | |
1028 | // | |
1029 | // Return number of binary hard collisions normalized to 1 at b=0 | |
1030 | // | |
1031 | if(b==0) b=1e-4; | |
1032 | return fgWSN->Eval(b)/fgWSN->Eval(1e-4); | |
1033 | } | |
1034 | ||
1035 | Double_t AliFastGlauber::MeanOverlap(Double_t b1, Double_t b2) | |
1036 | { | |
1037 | // | |
1038 | // Calculate the mean overlap for impact parameter range b1 .. b2 | |
1039 | // | |
1040 | Double_t sum = 0.; | |
1041 | Double_t sumc = 0.; | |
1042 | Double_t b = b1; | |
1043 | ||
1044 | while (b < b2-0.005) { | |
1045 | Double_t nc = GetNumberOfCollisions(b); | |
1046 | sum += 10. * fgWStaa->Eval(b) * fgWSgeo->Eval(b) * 0.01 / (1. - TMath::Exp(-nc)); | |
1047 | sumc += 10. * fgWSgeo->Eval(b) * 0.01; | |
1048 | b += 0.01; | |
1049 | } | |
1050 | return (sum / CrossSection(b1, b2)); | |
1051 | } | |
1052 | ||
1053 | ||
1054 | Double_t AliFastGlauber::MeanNumberOfCollisionsPerEvent(Double_t b1, Double_t b2) | |
1055 | { | |
1056 | // | |
1057 | // Calculate the mean number of collisions per event for impact parameter range b1 .. b2 | |
1058 | // | |
1059 | Double_t sum = 0.; | |
1060 | Double_t sumc = 0.; | |
1061 | Double_t b = b1; | |
1062 | ||
1063 | while (b < b2-0.005) { | |
1064 | Double_t nc = GetNumberOfCollisions(b); | |
1065 | sum += nc / (1. - TMath::Exp(-nc)) * 10. * fgWSgeo->Eval(b) * 0.01; | |
1066 | sumc += 10. * fgWSgeo->Eval(b) * 0.01; | |
1067 | b += 0.01; | |
1068 | } | |
1069 | return (sum / CrossSection(b1, b2)); | |
1070 | } | |
1071 | ||
1072 | ||
1073 | Double_t AliFastGlauber::GetNumberOfBinaries(Double_t b) const | |
1074 | { | |
1075 | // | |
1076 | // Return number of binary hard collisions at b | |
1077 | // | |
1078 | if(b==0) b=1e-4; | |
1079 | return fgWSN->Eval(b); | |
1080 | } | |
1081 | ||
1082 | Double_t AliFastGlauber::Participants(Double_t b) const | |
1083 | { | |
1084 | // | |
1085 | // Return the number of participants normalized to 1 at b=0 | |
1086 | // | |
1087 | if(b==0) b=1e-4; | |
1088 | return (fgWParticipants->Eval(b)/fgWParticipants->Eval(1e-4)); | |
1089 | } | |
1090 | ||
1091 | Double_t AliFastGlauber::GetNumberOfParticipants(Double_t b) const | |
1092 | { | |
1093 | // | |
1094 | // Return the number of participants for impact parameter b | |
1095 | // | |
1096 | if(b==0) b=1e-4; | |
1097 | return (fgWParticipants->Eval(b)); | |
1098 | } | |
1099 | ||
1100 | Double_t AliFastGlauber::GetNumberOfCollisions(Double_t b) const | |
1101 | { | |
1102 | // | |
1103 | // Return the number of collisions for impact parameter b | |
1104 | // | |
1105 | if(b==0) b=1e-4; | |
1106 | return (fgWStaa->Eval(b)*fSigmaNN); | |
1107 | } | |
1108 | ||
1109 | Double_t AliFastGlauber::GetNumberOfCollisionsPerEvent(Double_t b) const | |
1110 | { | |
1111 | // | |
1112 | // Return the number of collisions per event (at least one collision) | |
1113 | // for impact parameter b | |
1114 | // | |
1115 | Double_t n = GetNumberOfCollisions(b); | |
1116 | if (n > 0.) { | |
1117 | return (n / (1. - TMath::Exp(- n))); | |
1118 | } else { | |
1119 | return (0.); | |
1120 | } | |
1121 | } | |
1122 | ||
1123 | void AliFastGlauber::SimulateTrigger(Int_t n) | |
1124 | { | |
1125 | // | |
1126 | // Simulates Trigger | |
1127 | // | |
1128 | TH1F* mbtH = new TH1F("mbtH", "MB Trigger b-Distribution", 100, 0., 20.); | |
1129 | TH1F* hdtH = new TH1F("hdtH", "Hard Trigger b-Distribution", 100, 0., 20.); | |
1130 | TH1F* mbmH = new TH1F("mbmH", "MB Trigger Multiplicity Distribution", 100, 0., 8000.); | |
1131 | TH1F* hdmH = new TH1F("hdmH", "Hard Trigger Multiplicity Distribution", 100, 0., 8000.); | |
1132 | ||
1133 | mbtH->SetXTitle("b [fm]"); | |
1134 | hdtH->SetXTitle("b [fm]"); | |
1135 | mbmH->SetXTitle("Multiplicity"); | |
1136 | hdmH->SetXTitle("Multiplicity"); | |
1137 | ||
1138 | TCanvas *c0 = new TCanvas("c0","Trigger Simulation",400,10,600,700); | |
1139 | c0->Divide(2,1); | |
1140 | TCanvas *c1 = new TCanvas("c1","Trigger Simulation",400,10,600,700); | |
1141 | c1->Divide(1,2); | |
1142 | ||
1143 | // | |
1144 | // | |
1145 | Init(1); | |
1146 | for (Int_t iev = 0; iev < n; iev++) | |
1147 | { | |
1148 | Float_t b, p, mult; | |
1149 | GetRandom(b, p, mult); | |
1150 | mbtH->Fill(b,1.); | |
1151 | hdtH->Fill(b, p); | |
1152 | mbmH->Fill(mult, 1.); | |
1153 | hdmH->Fill(mult, p); | |
1154 | ||
1155 | c0->cd(1); | |
1156 | mbtH->Draw(); | |
1157 | c0->cd(2); | |
1158 | hdtH->Draw(); | |
1159 | c0->Update(); | |
1160 | ||
1161 | c1->cd(1); | |
1162 | mbmH->Draw(); | |
1163 | c1->cd(2); | |
1164 | hdmH->Draw(); | |
1165 | c1->Update(); | |
1166 | } | |
1167 | } | |
1168 | ||
1169 | void AliFastGlauber::GetRandom(Float_t& b, Float_t& p, Float_t& mult) | |
1170 | { | |
1171 | // | |
1172 | // Gives back a random impact parameter, hard trigger probability and multiplicity | |
1173 | // | |
1174 | b = fgWSgeo->GetRandom(); | |
1175 | const Float_t kmu = fgWSN->Eval(b); | |
1176 | p = 1.-TMath::Exp(-kmu); | |
1177 | mult = 6000./fgWSN->Eval(1.) * kmu; | |
1178 | } | |
1179 | ||
1180 | void AliFastGlauber::GetRandom(Int_t& bin, Bool_t& hard) | |
1181 | { | |
1182 | // | |
1183 | // Gives back a random impact parameter bin, and hard trigger decission | |
1184 | // | |
1185 | const Float_t kb = fgWSgeo->GetRandom(); | |
1186 | const Float_t kmu = fgWSN->Eval(kb) * fSigmaHard; | |
1187 | const Float_t kp = 1.-TMath::Exp(-kmu); | |
1188 | if (kb < 5.) { | |
1189 | bin = 1; | |
1190 | } else if (kb < 8.6) { | |
1191 | bin = 2; | |
1192 | } else if (kb < 11.2) { | |
1193 | bin = 3; | |
1194 | } else if (kb < 13.2) { | |
1195 | bin = 4; | |
1196 | } else if (kb < 15.0) { | |
1197 | bin = 5; | |
1198 | } else { | |
1199 | bin = 6; | |
1200 | } | |
1201 | hard = kFALSE; | |
1202 | const Float_t kr = gRandom->Rndm(); | |
1203 | if (kr < kp) hard = kTRUE; | |
1204 | } | |
1205 | ||
1206 | Double_t AliFastGlauber::GetRandomImpactParameter(Double_t bmin, Double_t bmax) | |
1207 | { | |
1208 | // | |
1209 | // Gives back a random impact parameter in the range bmin .. bmax | |
1210 | // | |
1211 | Float_t b = -1.; | |
1212 | while(b < bmin || b > bmax) | |
1213 | b = fgWSgeo->GetRandom(); | |
1214 | return b; | |
1215 | } | |
1216 | ||
1217 | void AliFastGlauber::StoreFunctions() const | |
1218 | { | |
1219 | // | |
1220 | // Store in file functions | |
1221 | // | |
1222 | TFile* ff = new TFile(fName.Data(),"recreate"); | |
1223 | fgWStaa->Write("WStaa"); | |
1224 | fgWParticipants->Write("WParticipants"); | |
1225 | ff->Close(); | |
1226 | return; | |
1227 | } | |
1228 | ||
1229 | //=================== Added by A. Dainese 11/02/04 =========================== | |
1230 | ||
1231 | void AliFastGlauber::StoreAlmonds() const | |
1232 | { | |
1233 | // | |
1234 | // Store in file | |
1235 | // 40 almonds for b = (0.25+k*0.5) fm (k=0->39) | |
1236 | // | |
1237 | Char_t almondName[100]; | |
1238 | TFile* ff = new TFile(fName.Data(),"update"); | |
1239 | for(Int_t k=0; k<40; k++) { | |
1240 | sprintf(almondName,"WAlmondFixedB%d",k); | |
1241 | Double_t b = 0.25+k*0.5; | |
1242 | Info("StoreAlmonds"," b = %f\n",b); | |
1243 | fgWAlmond->SetParameter(0,b); | |
1244 | fgWAlmond->Write(almondName); | |
1245 | } | |
1246 | ff->Close(); | |
1247 | return; | |
1248 | } | |
1249 | ||
1250 | void AliFastGlauber::SetCentralityClass(Double_t xsecFrLow,Double_t xsecFrUp) | |
1251 | { | |
1252 | // | |
1253 | // Set limits of centrality class as fractions | |
1254 | // of the geomtrical cross section | |
1255 | // | |
1256 | if(xsecFrLow>1. || xsecFrUp>1. || xsecFrLow>xsecFrUp) { | |
1257 | Error("SetCentralityClass", "Please set 0 <= xsecFrLow <= xsecFrUp <= 1\n"); | |
1258 | return; | |
1259 | } | |
1260 | ||
1261 | Double_t bLow=0.,bUp=0.; | |
1262 | Double_t xsecFr=0.; | |
1263 | const Double_t knorm=fgWSgeo->Integral(0.,100.); | |
1264 | while(xsecFr<xsecFrLow) { | |
1265 | xsecFr = fgWSgeo->Integral(0.,bLow)/knorm; | |
1266 | bLow += 0.1; | |
1267 | } | |
1268 | bUp = bLow; | |
1269 | while(xsecFr<xsecFrUp) { | |
1270 | xsecFr = fgWSgeo->Integral(0.,bUp)/knorm; | |
1271 | bUp += 0.1; | |
1272 | } | |
1273 | ||
1274 | Info("SetCentralityClass", "Centrality class: %4.2f-%4.2f; %4.1f < b < %4.1f fm", | |
1275 | xsecFrLow,xsecFrUp,bLow,bUp); | |
1276 | fgWSbinary->SetRange(bLow,bUp); | |
1277 | fBmin=bLow; | |
1278 | fBmax=bUp; | |
1279 | return; | |
1280 | } | |
1281 | ||
1282 | void AliFastGlauber::GetRandomBHard(Double_t& b) | |
1283 | { | |
1284 | // | |
1285 | // Get random impact parameter according to distribution of | |
1286 | // hard (binary) cross-section, in the range defined by the centrality class | |
1287 | // | |
1288 | b = fgWSbinary->GetRandom(); | |
1289 | Int_t bin = 2*(Int_t)b; | |
1290 | if( (b-(Int_t)b) > 0.5) bin++; | |
1291 | fgWAlmondCurrent = fgWAlmondFixedB[bin]; | |
1292 | return; | |
1293 | } | |
1294 | ||
1295 | void AliFastGlauber::GetRandomXY(Double_t& x,Double_t& y) | |
1296 | { | |
1297 | // | |
1298 | // Get random position of parton production point according to | |
1299 | // product of thickness functions | |
1300 | // | |
1301 | fgWAlmondCurrent->GetRandom2(x,y); | |
1302 | return; | |
1303 | } | |
1304 | ||
1305 | void AliFastGlauber::GetRandomPhi(Double_t& phi) | |
1306 | { | |
1307 | // | |
1308 | // Get random parton azimuthal propagation direction | |
1309 | // | |
1310 | phi = 2.*TMath::Pi()*gRandom->Rndm(); | |
1311 | return; | |
1312 | } | |
1313 | ||
1314 | Double_t AliFastGlauber::CalculateLength(Double_t b,Double_t x0,Double_t y0,Double_t phi0) | |
1315 | { | |
1316 | // | |
1317 | // Calculate path length for a parton with production point (x0,y0) | |
1318 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1319 | // in a collision with impact parameter b | |
1320 | // | |
1321 | ||
1322 | // number of steps in l | |
1323 | const Int_t kNp = 100; | |
1324 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1325 | ||
1326 | if(fEllDef==1) { | |
1327 | // | |
1328 | // Definition 1: | |
1329 | // | |
1330 | // ell = 2 * \int_0^\infty dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) / | |
1331 | // \int_0^\infty dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1332 | // | |
1333 | ||
1334 | // Initial radius | |
1335 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
1336 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1337 | Double_t l = 0.; | |
1338 | Double_t integral1 = 0.; | |
1339 | Double_t integral2 = 0.; | |
1340 | // Radial steps | |
1341 | for (Int_t i = 0; i < knps; i++) { | |
1342 | ||
1343 | // Transform into target frame | |
1344 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1345 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1346 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1347 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1348 | // Radius in projectile frame | |
1349 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1350 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1351 | ||
1352 | integral1 += kprodTATB * l * kDl; | |
1353 | integral2 += kprodTATB * kDl; | |
1354 | l += kDl; | |
1355 | } // steps | |
1356 | ||
1357 | Double_t ell=0.; | |
1358 | if(integral2) | |
1359 | ell = (2. * integral1 / integral2); | |
1360 | return ell; | |
1361 | } else if(fEllDef==2) { | |
1362 | // | |
1363 | // Definition 2: | |
1364 | // | |
1365 | // ell = \int_0^\infty dl* | |
1366 | // \Theta((T_A*T_B)(x0+l*ux,y0+l*uy)-0.5*(T_A*T_B)(0,0)) | |
1367 | // | |
1368 | ||
1369 | // Initial radius | |
1370 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
1371 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1372 | const Double_t kprodTATBHalfMax = 0.5*fgWAlmondCurrent->Eval(0.,0.); | |
1373 | // Radial steps | |
1374 | Double_t l = 0.; | |
1375 | Double_t integral = 0.; | |
1376 | for (Int_t i = 0; i < knps; i++) { | |
1377 | // Transform into target frame | |
1378 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1379 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1380 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1381 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1382 | // Radius in projectile frame | |
1383 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1384 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1385 | if(kprodTATB>kprodTATBHalfMax) integral += kDl; | |
1386 | l += kDl; | |
1387 | } // steps | |
1388 | Double_t ell = integral; | |
1389 | return ell; | |
1390 | } else { | |
1391 | Error("CalculateLength","Wrong length definition setting: %d !\n",fEllDef); | |
1392 | return -1.; | |
1393 | } | |
1394 | } | |
1395 | ||
1396 | void AliFastGlauber::GetLengthAndPhi(Double_t& ell,Double_t& phi,Double_t b) | |
1397 | { | |
1398 | // | |
1399 | // Return length from random b, x0, y0, phi0 | |
1400 | // Return also phi0 | |
1401 | // | |
1402 | Double_t x0,y0,phi0; | |
1403 | if(b<0.) GetRandomBHard(b); | |
1404 | GetRandomXY(x0,y0); | |
1405 | GetRandomPhi(phi0); | |
1406 | phi = phi0; | |
1407 | ell = CalculateLength(b,x0,y0,phi0); | |
1408 | return; | |
1409 | } | |
1410 | ||
1411 | void AliFastGlauber::GetLength(Double_t& ell,Double_t b) | |
1412 | { | |
1413 | // | |
1414 | // Return length from random b, x0, y0, phi0 | |
1415 | // | |
1416 | Double_t phi; | |
1417 | GetLengthAndPhi(ell,phi,b); | |
1418 | return; | |
1419 | } | |
1420 | ||
1421 | void AliFastGlauber::GetLengthsBackToBackAndPhi(Double_t& ell1,Double_t& ell2,Double_t &phi,Double_t b) | |
1422 | { | |
1423 | // | |
1424 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1425 | // Return also phi0 | |
1426 | // | |
1427 | Double_t x0,y0,phi0; | |
1428 | if(b<0.) GetRandomBHard(b); | |
1429 | GetRandomXY(x0,y0); | |
1430 | GetRandomPhi(phi0); | |
1431 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1432 | phi = phi0; | |
1433 | ell1 = CalculateLength(b,x0,y0,phi0); | |
1434 | ell2 = CalculateLength(b,x0,y0,kphi0plusPi); | |
1435 | return; | |
1436 | } | |
1437 | ||
1438 | void AliFastGlauber::GetLengthsBackToBack(Double_t& ell1,Double_t& ell2, | |
1439 | Double_t b) | |
1440 | { | |
1441 | // | |
1442 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1443 | // | |
1444 | Double_t phi; | |
1445 | GetLengthsBackToBackAndPhi(ell1,ell2,phi,b); | |
1446 | return; | |
1447 | } | |
1448 | ||
1449 | void AliFastGlauber::GetLengthsForPythia(Int_t n,Double_t* phi,Double_t* ell, Double_t b) | |
1450 | { | |
1451 | // | |
1452 | // Returns lenghts for n partons with azimuthal angles phi[n] | |
1453 | // from random b, x0, y0 | |
1454 | // | |
1455 | Double_t x0, y0; | |
1456 | if(b < 0.) GetRandomBHard(b); | |
1457 | GetRandomXY(x0,y0); | |
1458 | for(Int_t i = 0; i< n; i++) ell[i] = CalculateLength(b,x0,y0,phi[i]); | |
1459 | return; | |
1460 | } | |
1461 | ||
1462 | void AliFastGlauber::PlotBDistr(Int_t n) | |
1463 | { | |
1464 | // | |
1465 | // Plot distribution of n impact parameters | |
1466 | // | |
1467 | Double_t b; | |
1468 | TH1F *hB = new TH1F("hB","dN/db",100,0,fgBMax); | |
1469 | hB->SetXTitle("b [fm]"); | |
1470 | hB->SetYTitle("dN/db [a.u.]"); | |
1471 | hB->SetFillColor(3); | |
1472 | for(Int_t i=0; i<n; i++) { | |
1473 | GetRandomBHard(b); | |
1474 | hB->Fill(b); | |
1475 | } | |
1476 | TCanvas *cB = new TCanvas("cB","Impact parameter distribution",0,0,500,500); | |
1477 | cB->cd(); | |
1478 | hB->Draw(); | |
1479 | return; | |
1480 | } | |
1481 | ||
1482 | void AliFastGlauber::PlotLengthDistr(Int_t n,Bool_t save,const char *fname) | |
1483 | { | |
1484 | // | |
1485 | // Plot length distribution | |
1486 | // | |
1487 | Double_t ell; | |
1488 | TH1F *hEll = new TH1F("hEll","Length distribution",64,-0.5,15); | |
1489 | hEll->SetXTitle("Transverse path length, L [fm]"); | |
1490 | hEll->SetYTitle("Probability"); | |
1491 | hEll->SetFillColor(2); | |
1492 | for(Int_t i=0; i<n; i++) { | |
1493 | GetLength(ell); | |
1494 | hEll->Fill(ell); | |
1495 | } | |
1496 | hEll->Scale(1/(Double_t)n); | |
1497 | TCanvas *cL = new TCanvas("cL","Length distribution",0,0,500,500); | |
1498 | cL->cd(); | |
1499 | hEll->Draw(); | |
1500 | ||
1501 | if(save) { | |
1502 | TFile *f = new TFile(fname,"recreate"); | |
1503 | hEll->Write(); | |
1504 | f->Close(); | |
1505 | } | |
1506 | return; | |
1507 | } | |
1508 | ||
1509 | void AliFastGlauber::PlotLengthB2BDistr(Int_t n,Bool_t save,const char *fname) | |
1510 | { | |
1511 | // | |
1512 | // Plot lengths back-to-back distributions | |
1513 | // | |
1514 | Double_t ell1,ell2; | |
1515 | TH2F *hElls = new TH2F("hElls","Lengths back-to-back",100,0,15,100,0,15); | |
1516 | hElls->SetXTitle("Transverse path length, L [fm]"); | |
1517 | hElls->SetYTitle("Transverse path length, L [fm]"); | |
1518 | for(Int_t i=0; i<n; i++) { | |
1519 | GetLengthsBackToBack(ell1,ell2); | |
1520 | hElls->Fill(ell1,ell2); | |
1521 | } | |
1522 | hElls->Scale(1/(Double_t)n); | |
1523 | TCanvas *cLs = new TCanvas("cLs","Length back-to-back distribution",0,0,500,500); | |
1524 | gStyle->SetPalette(1,0); | |
1525 | cLs->cd(); | |
1526 | hElls->Draw("col,Z"); | |
1527 | if(save) { | |
1528 | TFile *f = new TFile(fname,"recreate"); | |
1529 | hElls->Write(); | |
1530 | f->Close(); | |
1531 | } | |
1532 | return; | |
1533 | } | |
1534 | ||
1535 | void AliFastGlauber::PlotAlmonds() const | |
1536 | { | |
1537 | // | |
1538 | // Plot almonds for some impact parameters | |
1539 | // | |
1540 | TCanvas *c = new TCanvas("c","Almonds",0,0,500,500); | |
1541 | gStyle->SetPalette(1,0); | |
1542 | c->Divide(2,2); | |
1543 | c->cd(1); | |
1544 | fgWAlmondFixedB[0]->Draw("cont1"); | |
1545 | c->cd(2); | |
1546 | fgWAlmondFixedB[10]->Draw("cont1"); | |
1547 | c->cd(3); | |
1548 | fgWAlmondFixedB[20]->Draw("cont1"); | |
1549 | c->cd(4); | |
1550 | fgWAlmondFixedB[30]->Draw("cont1"); | |
1551 | return; | |
1552 | } | |
1553 | ||
1554 | //=================== Added by A. Dainese 05/03/04 =========================== | |
1555 | ||
1556 | void AliFastGlauber::CalculateI0I1(Double_t& integral0,Double_t& integral1, | |
1557 | Double_t b,Double_t x0,Double_t y0, | |
1558 | Double_t phi0,Double_t ellCut) const | |
1559 | { | |
1560 | // | |
1561 | // Calculate integrals: | |
1562 | // integral0 = \int_0^ellCut dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1563 | // integral1 = \int_0^ellCut dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1564 | // | |
1565 | // for a parton with production point (x0,y0) | |
1566 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1567 | // in a collision with impact parameter b | |
1568 | // | |
1569 | ||
1570 | // number of steps in l | |
1571 | const Int_t kNp = 100; | |
1572 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1573 | ||
1574 | // Initial radius | |
1575 | const Double_t kr0 = TMath::Sqrt(x0 * x0 + y0 * y0); | |
1576 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1577 | ||
1578 | // Radial steps | |
1579 | Double_t l = 0.; | |
1580 | integral0 = 0.; | |
1581 | integral1 = 0.; | |
1582 | Int_t i = 0; | |
1583 | while((i < knps) && (l < ellCut)) { | |
1584 | // Transform into target frame | |
1585 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1586 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1587 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1588 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1589 | // Radius in projectile frame | |
1590 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1591 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1592 | integral0 += kprodTATB * kDl; | |
1593 | integral1 += kprodTATB * l * kDl; | |
1594 | l += kDl; | |
1595 | i++; | |
1596 | } // steps | |
1597 | return; | |
1598 | } | |
1599 | ||
1600 | void AliFastGlauber::GetI0I1AndPhi(Double_t& integral0,Double_t& integral1, | |
1601 | Double_t& phi, | |
1602 | Double_t ellCut,Double_t b) | |
1603 | { | |
1604 | // | |
1605 | // Return I0 and I1 from random b, x0, y0, phi0 | |
1606 | // Return also phi | |
1607 | // | |
1608 | Double_t x0,y0,phi0; | |
1609 | if(b<0.) GetRandomBHard(b); | |
1610 | GetRandomXY(x0,y0); | |
1611 | GetRandomPhi(phi0); | |
1612 | phi = phi0; | |
1613 | CalculateI0I1(integral0,integral1,b,x0,y0,phi0,ellCut); | |
1614 | return; | |
1615 | } | |
1616 | ||
1617 | void AliFastGlauber::GetI0I1(Double_t& integral0,Double_t& integral1, | |
1618 | Double_t ellCut,Double_t b) | |
1619 | { | |
1620 | // | |
1621 | // Return I0 and I1 from random b, x0, y0, phi0 | |
1622 | // | |
1623 | Double_t phi; | |
1624 | GetI0I1AndPhi(integral0,integral1,phi,ellCut,b); | |
1625 | return; | |
1626 | } | |
1627 | ||
1628 | void AliFastGlauber::GetI0I1BackToBackAndPhi(Double_t& integral01,Double_t& integral11, | |
1629 | Double_t& integral02,Double_t& integral12, | |
1630 | Double_t& phi, | |
1631 | Double_t ellCut,Double_t b) | |
1632 | { | |
1633 | // | |
1634 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1635 | // Return also phi0 | |
1636 | // | |
1637 | Double_t x0,y0,phi0; | |
1638 | if(b<0.) GetRandomBHard(b); | |
1639 | GetRandomXY(x0,y0); | |
1640 | GetRandomPhi(phi0); | |
1641 | phi = phi0; | |
1642 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1643 | CalculateI0I1(integral01,integral11,b,x0,y0,phi0,ellCut); | |
1644 | CalculateI0I1(integral02,integral12,b,x0,y0,kphi0plusPi,ellCut); | |
1645 | return; | |
1646 | } | |
1647 | ||
1648 | void AliFastGlauber::GetI0I1BackToBackAndPhiAndXY(Double_t& integral01,Double_t& integral11, | |
1649 | Double_t& integral02,Double_t& integral12, | |
1650 | Double_t& phi,Double_t &x,Double_t &y, | |
1651 | Double_t ellCut,Double_t b) | |
1652 | { | |
1653 | // | |
1654 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1655 | // Return also phi0 | |
1656 | // | |
1657 | Double_t x0,y0,phi0; | |
1658 | if(b<0.) GetRandomBHard(b); | |
1659 | GetRandomXY(x0,y0); | |
1660 | GetRandomPhi(phi0); | |
1661 | phi = phi0; x=x0; y=y0; | |
1662 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1663 | CalculateI0I1(integral01,integral11,b,x0,y0,phi0,ellCut); | |
1664 | CalculateI0I1(integral02,integral12,b,x0,y0,kphi0plusPi,ellCut); | |
1665 | return; | |
1666 | } | |
1667 | ||
1668 | void AliFastGlauber::GetI0I1BackToBack(Double_t& integral01,Double_t& integral11, | |
1669 | Double_t& integral02,Double_t& integral12, | |
1670 | Double_t ellCut,Double_t b) | |
1671 | { | |
1672 | // | |
1673 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1674 | // | |
1675 | Double_t phi; | |
1676 | GetI0I1BackToBackAndPhi(integral01,integral11,integral02,integral12, | |
1677 | phi,ellCut,b); | |
1678 | return; | |
1679 | } | |
1680 | ||
1681 | void AliFastGlauber::GetI0I1ForPythia(Int_t n,Double_t* phi, | |
1682 | Double_t* integral0,Double_t* integral1, | |
1683 | Double_t ellCut,Double_t b) | |
1684 | { | |
1685 | // | |
1686 | // Returns I0 and I1 pairs for n partons with azimuthal angles phi[n] | |
1687 | // from random b, x0, y0 | |
1688 | // | |
1689 | Double_t x0,y0; | |
1690 | if(b<0.) GetRandomBHard(b); | |
1691 | GetRandomXY(x0,y0); | |
1692 | for(Int_t i=0; i<n; i++) | |
1693 | CalculateI0I1(integral0[i],integral1[i],b,x0,y0,phi[i],ellCut); | |
1694 | return; | |
1695 | } | |
1696 | ||
1697 | void AliFastGlauber::GetI0I1ForPythiaAndXY(Int_t n,Double_t* phi, | |
1698 | Double_t* integral0,Double_t* integral1, | |
1699 | Double_t &x,Double_t& y, | |
1700 | Double_t ellCut,Double_t b) | |
1701 | { | |
1702 | // | |
1703 | // Returns I0 and I1 pairs for n partons with azimuthal angles phi[n] | |
1704 | // from random b, x0, y0 and return x0,y0 | |
1705 | // | |
1706 | Double_t x0,y0; | |
1707 | if(b<0.) GetRandomBHard(b); | |
1708 | GetRandomXY(x0,y0); | |
1709 | for(Int_t i=0; i<n; i++) | |
1710 | CalculateI0I1(integral0[i],integral1[i],b,x0,y0,phi[i],ellCut); | |
1711 | x=x0; | |
1712 | y=y0; | |
1713 | return; | |
1714 | } | |
1715 | ||
1716 | void AliFastGlauber::PlotI0I1Distr(Int_t n,Double_t ellCut, | |
1717 | Bool_t save,const char *fname) | |
1718 | { | |
1719 | // | |
1720 | // Plot I0-I1 distribution | |
1721 | // | |
1722 | Double_t i0,i1; | |
1723 | TH2F *hI0I1s = new TH2F("hI0I1s","I_{0} versus I_{1}",1000,0,0.001,1000,0,0.01); | |
1724 | hI0I1s->SetXTitle("I_{0} [fm^{-3}]"); | |
1725 | hI0I1s->SetYTitle("I_{1} [fm^{-2}]"); | |
1726 | ||
1727 | TH1F *hI0 = new TH1F("hI0","I_{0} = #hat{q}L / k", | |
1728 | 1000,0,0.001); | |
1729 | hI0->SetXTitle("I_{0} [fm^{-3}]"); | |
1730 | hI0->SetYTitle("Probability"); | |
1731 | hI0->SetFillColor(3); | |
1732 | TH1F *hI1 = new TH1F("hI1","I_{1} = #omega_{c} / k", | |
1733 | 1000,0,0.01); | |
1734 | hI1->SetXTitle("I_{1} [fm^{-2}]"); | |
1735 | hI1->SetYTitle("Probability"); | |
1736 | hI1->SetFillColor(4); | |
1737 | TH1F *h2 = new TH1F("h2","2 I_{1}^{2}/I_{0} = R / k", | |
1738 | 100,0,0.02); | |
1739 | h2->SetXTitle("2 I_{1}^{2}/I_{0} [fm^{-1}]"); | |
1740 | h2->SetYTitle("Probability"); | |
1741 | h2->SetFillColor(2); | |
1742 | TH1F *h3 = new TH1F("h3","2 I_{1}/I_{0} = L", | |
1743 | 100,0,15); | |
1744 | h3->SetXTitle("2 I_{1}/I_{0} [fm]"); | |
1745 | h3->SetYTitle("Probability"); | |
1746 | h3->SetFillColor(5); | |
1747 | TH1F *h4 = new TH1F("h4","I_{0}^{2}/(2 I_{1}) = #hat{q} / k", | |
1748 | 100,0,0.00015); | |
1749 | h4->SetXTitle("I_{0}^{2}/(2 I_{1}) [fm^{-4}]"); | |
1750 | h4->SetYTitle("Probability"); | |
1751 | h4->SetFillColor(7); | |
1752 | ||
1753 | for(Int_t i=0; i<n; i++) { | |
1754 | GetI0I1(i0,i1,ellCut); | |
1755 | hI0I1s->Fill(i0,i1); | |
1756 | hI0->Fill(i0); | |
1757 | hI1->Fill(i1); | |
1758 | h2->Fill(2.*i1*i1/i0); | |
1759 | h3->Fill(2.*i1/i0); | |
1760 | h4->Fill(i0*i0/2./i1); | |
1761 | } | |
1762 | hI0->Scale(1/(Double_t)n); | |
1763 | hI1->Scale(1/(Double_t)n); | |
1764 | h2->Scale(1/(Double_t)n); | |
1765 | h3->Scale(1/(Double_t)n); | |
1766 | h4->Scale(1/(Double_t)n); | |
1767 | hI0I1s->Scale(1/(Double_t)n); | |
1768 | ||
1769 | TCanvas *cI0I1 = new TCanvas("cI0I1","I0 and I1",0,0,900,700); | |
1770 | cI0I1->Divide(3,2); | |
1771 | cI0I1->cd(1); | |
1772 | hI0->Draw(); | |
1773 | cI0I1->cd(2); | |
1774 | hI1->Draw(); | |
1775 | cI0I1->cd(3); | |
1776 | h2->Draw(); | |
1777 | cI0I1->cd(4); | |
1778 | h3->Draw(); | |
1779 | cI0I1->cd(5); | |
1780 | h4->Draw(); | |
1781 | cI0I1->cd(6); | |
1782 | gStyle->SetPalette(1,0); | |
1783 | hI0I1s->Draw("col,Z"); | |
1784 | ||
1785 | if(save) { | |
1786 | TFile *f = new TFile(fname,"recreate"); | |
1787 | hI0I1s->Write(); | |
1788 | hI0->Write(); | |
1789 | hI1->Write(); | |
1790 | h2->Write(); | |
1791 | h3->Write(); | |
1792 | h4->Write(); | |
1793 | f->Close(); | |
1794 | } | |
1795 | return; | |
1796 | } | |
1797 | ||
1798 | void AliFastGlauber::PlotI0I1B2BDistr(Int_t n,Double_t ellCut, | |
1799 | Bool_t save,const char *fname) | |
1800 | { | |
1801 | // | |
1802 | // Plot I0-I1 back-to-back distributions | |
1803 | // | |
1804 | Double_t i01,i11,i02,i12; | |
1805 | TH2F *hI0s = new TH2F("hI0s","I_{0}'s back-to-back",100,0,100,100,0,100); | |
1806 | hI0s->SetXTitle("I_{0} [fm^{-3}]"); | |
1807 | hI0s->SetYTitle("I_{0} [fm^{-3}]"); | |
1808 | TH2F *hI1s = new TH2F("hI1s","I_{1}'s back-to-back",100,0,100,100,0,100); | |
1809 | hI1s->SetXTitle("I_{1} [fm^{-2}]"); | |
1810 | hI1s->SetYTitle("I_{1} [fm^{-2}]"); | |
1811 | ||
1812 | for(Int_t i=0; i<n; i++) { | |
1813 | GetI0I1BackToBack(i01,i11,i02,i12,ellCut); | |
1814 | hI0s->Fill(i01,i02); | |
1815 | hI1s->Fill(i11,i12); | |
1816 | } | |
1817 | hI0s->Scale(1/(Double_t)n); | |
1818 | hI1s->Scale(1/(Double_t)n); | |
1819 | ||
1820 | TCanvas *cI0I1s = new TCanvas("cI0I1s","I0 and I1 back-to-back distributions",0,0,800,400); | |
1821 | gStyle->SetPalette(1,0); | |
1822 | cI0I1s->Divide(2,1); | |
1823 | cI0I1s->cd(1); | |
1824 | hI0s->Draw("col,Z"); | |
1825 | cI0I1s->cd(2); | |
1826 | hI1s->Draw("col,Z"); | |
1827 | ||
1828 | if(save) { | |
1829 | TFile *f = new TFile(fname,"recreate"); | |
1830 | hI0s->Write(); | |
1831 | hI1s->Write(); | |
1832 | f->Close(); | |
1833 | } | |
1834 | return; | |
1835 | } | |
1836 | ||
1837 | AliFastGlauber& AliFastGlauber::operator=(const AliFastGlauber& rhs) | |
1838 | { | |
1839 | // Assignment operator | |
1840 | rhs.Copy(*this); | |
1841 | return *this; | |
1842 | } | |
1843 | ||
1844 | void AliFastGlauber::Copy(TObject&) const | |
1845 | { | |
1846 | // | |
1847 | // Copy | |
1848 | // | |
1849 | Fatal("Copy","Not implemented!\n"); | |
1850 | } | |
1851 |