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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 <TCanvas.h> | |
54 | #include <TF1.h> | |
55 | #include <TF2.h> | |
56 | #include <TFile.h> | |
57 | #include <TH1F.h> | |
58 | #include <TH2F.h> | |
59 | #include <TLegend.h> | |
60 | #include <TMath.h> | |
61 | #include <TRandom.h> | |
62 | #include <TStyle.h> | |
63 | ||
64 | ClassImp(AliFastGlauber) | |
65 | ||
66 | Float_t AliFastGlauber::fgBMax = 0.; | |
67 | TF1* AliFastGlauber::fgWSb = NULL; | |
68 | TF2* AliFastGlauber::fgWSbz = NULL; | |
69 | TF1* AliFastGlauber::fgWSz = NULL; | |
70 | TF1* AliFastGlauber::fgWSta = NULL; | |
71 | TF2* AliFastGlauber::fgWStarfi = NULL; | |
72 | TF2* AliFastGlauber::fgWAlmond = NULL; | |
73 | TF1* AliFastGlauber::fgWStaa = NULL; | |
74 | TF1* AliFastGlauber::fgWSgeo = NULL; | |
75 | TF1* AliFastGlauber::fgWSbinary = NULL; | |
76 | TF1* AliFastGlauber::fgWSN = NULL; | |
77 | TF1* AliFastGlauber::fgWPathLength0 = NULL; | |
78 | TF1* AliFastGlauber::fgWPathLength = NULL; | |
79 | TF1* AliFastGlauber::fgWEnergyDensity = NULL; | |
80 | TF1* AliFastGlauber::fgWIntRadius = NULL; | |
81 | TF2* AliFastGlauber::fgWKParticipants = NULL; | |
82 | TF1* AliFastGlauber::fgWParticipants = NULL; | |
83 | TF2* AliFastGlauber::fgWAlmondCurrent = NULL; | |
84 | TF2* AliFastGlauber::fgWAlmondFixedB[40]; | |
85 | const Int_t AliFastGlauber::fgkMCInts = 100000; | |
86 | AliFastGlauber* AliFastGlauber::fgGlauber = NULL; | |
87 | ||
88 | ||
89 | AliFastGlauber::AliFastGlauber(): | |
90 | fWSr0(0.), | |
91 | fWSd(0.), | |
92 | fWSw(0.), | |
93 | fWSn(0.), | |
94 | fSigmaHard(0.), | |
95 | fSigmaNN(0.), | |
96 | fA(0), | |
97 | fBmin(0.), | |
98 | fBmax(0.), | |
99 | fEllDef(0), | |
100 | fName() | |
101 | { | |
102 | // Default Constructor | |
103 | // Defaults for Pb | |
104 | SetMaxImpact(); | |
105 | SetLengthDefinition(); | |
106 | SetPbPbLHC(); | |
107 | fXY[0] = fXY[1] = 0; | |
108 | fI0I1[0] = fI0I1[1] = 0; | |
109 | } | |
110 | ||
111 | AliFastGlauber::AliFastGlauber(const AliFastGlauber & gl) | |
112 | :TObject(gl), | |
113 | fWSr0(0.), | |
114 | fWSd(0.), | |
115 | fWSw(0.), | |
116 | fWSn(0.), | |
117 | fSigmaHard(0.), | |
118 | fSigmaNN(0.), | |
119 | fA(0), | |
120 | fBmin(0.), | |
121 | fBmax(0.), | |
122 | fEllDef(0), | |
123 | fName() | |
124 | { | |
125 | // Copy constructor | |
126 | gl.Copy(*this); | |
127 | fXY[0] = fXY[1] = 0; | |
128 | fI0I1[0] = fI0I1[1] = 0; | |
129 | } | |
130 | ||
131 | AliFastGlauber* AliFastGlauber::Instance() | |
132 | { | |
133 | // Set random number generator | |
134 | if (fgGlauber) { | |
135 | return fgGlauber; | |
136 | } else { | |
137 | fgGlauber = new AliFastGlauber(); | |
138 | return fgGlauber; | |
139 | } | |
140 | } | |
141 | ||
142 | AliFastGlauber::~AliFastGlauber() | |
143 | { | |
144 | // Destructor | |
145 | for(Int_t k=0; k<40; k++) delete fgWAlmondFixedB[k]; | |
146 | } | |
147 | ||
148 | void AliFastGlauber::SetAuAuRhic() | |
149 | { | |
150 | //Set all parameters for RHIC | |
151 | SetWoodSaxonParametersAu(); | |
152 | SetHardCrossSection(); | |
153 | SetNNCrossSection(42); | |
154 | SetNucleus(197); | |
155 | SetFileName("$(ALICE_ROOT)/FASTSIM/data/glauberAuAu.root"); | |
156 | } | |
157 | ||
158 | void AliFastGlauber::SetPbPbLHC() | |
159 | { | |
160 | //Set all parameters for LHC | |
161 | SetWoodSaxonParametersPb(); | |
162 | SetHardCrossSection(); | |
163 | SetNNCrossSection(); | |
164 | SetNucleus(); | |
165 | SetFileName(); | |
166 | } | |
167 | ||
168 | void AliFastGlauber::Init(Int_t mode) | |
169 | { | |
170 | // Initialisation | |
171 | // mode = 0; all functions are calculated | |
172 | // mode = 1; overlap function is read from file (for Pb-Pb only) | |
173 | // mode = 2; interaction almond functions are read from file | |
174 | // USE THIS FOR PATH LENGTH CALC.! | |
175 | // | |
176 | ||
177 | // | |
178 | Reset(); | |
179 | // | |
180 | ||
181 | // | |
182 | // Wood-Saxon | |
183 | // | |
184 | fgWSb = new TF1("WSb", WSb, 0, fgBMax, 4); | |
185 | fgWSb->SetParameter(0, fWSr0); | |
186 | fgWSb->SetParameter(1, fWSd); | |
187 | fgWSb->SetParameter(2, fWSw); | |
188 | fgWSb->SetParameter(3, fWSn); | |
189 | ||
190 | fgWSbz = new TF2("WSbz", WSbz, 0, fgBMax, 0, fgBMax, 4); | |
191 | fgWSbz->SetParameter(0, fWSr0); | |
192 | fgWSbz->SetParameter(1, fWSd); | |
193 | fgWSbz->SetParameter(2, fWSw); | |
194 | fgWSbz->SetParameter(3, fWSn); | |
195 | ||
196 | fgWSz = new TF1("WSz", WSz, 0, fgBMax, 5); | |
197 | fgWSz->SetParameter(0, fWSr0); | |
198 | fgWSz->SetParameter(1, fWSd); | |
199 | fgWSz->SetParameter(2, fWSw); | |
200 | fgWSz->SetParameter(3, fWSn); | |
201 | ||
202 | // | |
203 | // Thickness | |
204 | // | |
205 | fgWSta = new TF1("WSta", WSta, 0., fgBMax, 0); | |
206 | ||
207 | // | |
208 | // Overlap Kernel | |
209 | // | |
210 | fgWStarfi = new TF2("WStarfi", WStarfi, 0., fgBMax, 0., TMath::Pi(), 1); | |
211 | fgWStarfi->SetParameter(0, 0.); | |
212 | fgWStarfi->SetNpx(200); | |
213 | fgWStarfi->SetNpy(20); | |
214 | ||
215 | // | |
216 | // Participants Kernel | |
217 | // | |
218 | fgWKParticipants = new TF2("WKParticipants", WKParticipants, 0., fgBMax, 0., TMath::Pi(), 3); | |
219 | fgWKParticipants->SetParameter(0, 0.); | |
220 | fgWKParticipants->SetParameter(1, fSigmaNN); | |
221 | fgWKParticipants->SetParameter(2, fA); | |
222 | fgWKParticipants->SetNpx(200); | |
223 | fgWKParticipants->SetNpy(20); | |
224 | ||
225 | // | |
226 | // Overlap and Participants | |
227 | // | |
228 | if (!mode) { | |
229 | fgWStaa = new TF1("WStaa", WStaa, 0., fgBMax, 1); | |
230 | fgWStaa->SetNpx(100); | |
231 | fgWStaa->SetParameter(0,fA); | |
232 | fgWStaa->SetNpx(100); | |
233 | fgWParticipants = new TF1("WParticipants", WParticipants, 0., fgBMax, 2); | |
234 | fgWParticipants->SetParameter(0, fSigmaNN); | |
235 | fgWParticipants->SetParameter(1, fA); | |
236 | fgWParticipants->SetNpx(100); | |
237 | } else { | |
238 | Info("Init","Reading overlap function from file %s",fName.Data()); | |
239 | TFile* f = new TFile(fName.Data()); | |
240 | if(!f->IsOpen()){ | |
241 | Fatal("Init", "Could not open file %s",fName.Data()); | |
242 | } | |
243 | fgWStaa = (TF1*) f->Get("WStaa"); | |
244 | fgWParticipants = (TF1*) f->Get("WParticipants"); | |
245 | delete f; | |
246 | } | |
247 | ||
248 | // | |
249 | // Energy Density | |
250 | // | |
251 | fgWEnergyDensity = new TF1("WEnergyDensity", WEnergyDensity, 0., 2. * fWSr0, 1); | |
252 | fgWEnergyDensity->SetParameter(0, fWSr0 + 1.); | |
253 | ||
254 | // | |
255 | // Geometrical Cross-Section | |
256 | // | |
257 | fgWSgeo = new TF1("WSgeo", WSgeo, 0., fgBMax, 1); | |
258 | fgWSgeo->SetParameter(0,fSigmaNN); //mbarn | |
259 | fgWSgeo->SetNpx(100); | |
260 | ||
261 | // | |
262 | // Hard cross section (binary collisions) | |
263 | // | |
264 | fgWSbinary = new TF1("WSbinary", WSbinary, 0., fgBMax, 1); | |
265 | fgWSbinary->SetParameter(0, fSigmaHard); //mbarn | |
266 | fgWSbinary->SetNpx(100); | |
267 | ||
268 | // | |
269 | // Hard collisions per event | |
270 | // | |
271 | fgWSN = new TF1("WSN", WSN, 0., fgBMax, 1); | |
272 | fgWSN->SetNpx(100); | |
273 | ||
274 | // | |
275 | // Almond shaped interaction region | |
276 | // | |
277 | fgWAlmond = new TF2("WAlmond", WAlmond, -fgBMax, fgBMax, -fgBMax, fgBMax, 1); | |
278 | fgWAlmond->SetParameter(0, 0.); | |
279 | fgWAlmond->SetNpx(200); | |
280 | fgWAlmond->SetNpy(200); | |
281 | ||
282 | if(mode==2) { | |
283 | Info("Init","Reading interaction almonds from file: %s",fName.Data()); | |
284 | Char_t almondName[100]; | |
285 | TFile* ff = new TFile(fName.Data()); | |
286 | for(Int_t k=0; k<40; k++) { | |
287 | sprintf(almondName,"WAlmondFixedB%d",k); | |
288 | fgWAlmondCurrent = (TF2*)ff->Get(almondName); | |
289 | fgWAlmondFixedB[k] = fgWAlmondCurrent; | |
290 | } | |
291 | delete ff; | |
292 | } | |
293 | ||
294 | fgWIntRadius = new TF1("WIntRadius", WIntRadius, 0., fgBMax, 1); | |
295 | fgWIntRadius->SetParameter(0, 0.); | |
296 | ||
297 | // | |
298 | // Path Length as a function of Phi | |
299 | // | |
300 | fgWPathLength0 = new TF1("WPathLength0", WPathLength0, -TMath::Pi(), TMath::Pi(), 2); | |
301 | fgWPathLength0->SetParameter(0, 0.); | |
302 | fgWPathLength0->SetParameter(1, 0.); //Pathlength definition | |
303 | ||
304 | fgWPathLength = new TF1("WPathLength", WPathLength, -TMath::Pi(), TMath::Pi(), 3); | |
305 | fgWPathLength->SetParameter(0, 0.); //Impact Parameter | |
306 | fgWPathLength->SetParameter(1, 1000.); //Number of interactions used for average | |
307 | fgWPathLength->SetParameter(2, 0); //Pathlength definition | |
308 | } | |
309 | ||
310 | void AliFastGlauber::Reset() const | |
311 | { | |
312 | // | |
313 | // Reset dynamic allocated formulas | |
314 | // in case init is called twice | |
315 | ||
316 | if(fgWSb) delete fgWSb; | |
317 | if(fgWSbz) delete fgWSbz; | |
318 | if(fgWSz) delete fgWSz; | |
319 | if(fgWSta) delete fgWSta; | |
320 | if(fgWStarfi) delete fgWStarfi; | |
321 | if(fgWAlmond) delete fgWAlmond; | |
322 | if(fgWStaa) delete fgWStaa; | |
323 | if(fgWSgeo) delete fgWSgeo; | |
324 | if(fgWSbinary) delete fgWSbinary; | |
325 | if(fgWSN) delete fgWSN; | |
326 | if(fgWPathLength0) delete fgWPathLength0; | |
327 | if(fgWPathLength) delete fgWPathLength; | |
328 | if(fgWEnergyDensity) delete fgWEnergyDensity; | |
329 | if(fgWIntRadius) delete fgWIntRadius; | |
330 | if(fgWKParticipants) delete fgWKParticipants; | |
331 | if(fgWParticipants) delete fgWParticipants; | |
332 | } | |
333 | ||
334 | void AliFastGlauber::DrawWSb() const | |
335 | { | |
336 | // | |
337 | // Draw Wood-Saxon Nuclear Density Function | |
338 | // | |
339 | TCanvas *c1 = new TCanvas("c1","Wood Saxon",400,10,600,700); | |
340 | c1->cd(); | |
341 | Double_t max=fgWSb->GetMaximum(0,fgBMax)*1.01; | |
342 | 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); | |
343 | h2f->SetStats(0); | |
344 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
345 | h2f->GetYaxis()->SetNoExponent(kTRUE); | |
346 | h2f->GetYaxis()->SetTitle("#rho [fm^{-3}]"); | |
347 | h2f->Draw(); | |
348 | fgWSb->Draw("same"); | |
349 | TLegend *l1a = new TLegend(0.45,0.6,.90,0.8); | |
350 | l1a->SetFillStyle(0); | |
351 | l1a->SetBorderSize(0); | |
352 | Char_t label[100]; | |
353 | sprintf(label,"r_{0} = %.2f fm",fWSr0); | |
354 | l1a->AddEntry(fgWSb,label,""); | |
355 | sprintf(label,"d = %.2f fm",fWSd); | |
356 | l1a->AddEntry(fgWSb,label,""); | |
357 | sprintf(label,"n = %.2e fm^{-3}",fWSn); | |
358 | l1a->AddEntry(fgWSb,label,""); | |
359 | sprintf(label,"#omega = %.2f",fWSw); | |
360 | l1a->AddEntry(fgWSb,label,""); | |
361 | l1a->Draw(); | |
362 | c1->Update(); | |
363 | } | |
364 | ||
365 | void AliFastGlauber::DrawOverlap() const | |
366 | { | |
367 | // | |
368 | // Draw Overlap Function | |
369 | // | |
370 | TCanvas *c2 = new TCanvas("c2","Overlap",400,10,600,700); | |
371 | c2->cd(); | |
372 | Double_t max=fgWStaa->GetMaximum(0,fgBMax)*1.01; | |
373 | TH2F *h2f=new TH2F("h2ftaa","Overlap function: T_{AB} [mbarn^{-1}]",2,0,fgBMax,2,0, max); | |
374 | h2f->SetStats(0); | |
375 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
376 | h2f->GetYaxis()->SetTitle("T_{AB} [mbarn^{-1}]"); | |
377 | h2f->Draw(); | |
378 | fgWStaa->Draw("same"); | |
379 | } | |
380 | ||
381 | void AliFastGlauber::DrawParticipants() const | |
382 | { | |
383 | // | |
384 | // Draw Number of Participants Npart | |
385 | // | |
386 | TCanvas *c3 = new TCanvas("c3","Participants",400,10,600,700); | |
387 | c3->cd(); | |
388 | Double_t max=fgWParticipants->GetMaximum(0,fgBMax)*1.01; | |
389 | TH2F *h2f=new TH2F("h2fpart","Number of Participants",2,0,fgBMax,2,0,max); | |
390 | h2f->SetStats(0); | |
391 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
392 | h2f->GetYaxis()->SetTitle("N_{part}"); | |
393 | h2f->Draw(); | |
394 | fgWParticipants->Draw("same"); | |
395 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
396 | l1a->SetFillStyle(0); | |
397 | l1a->SetBorderSize(0); | |
398 | Char_t label[100]; | |
399 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
400 | l1a->AddEntry(fgWParticipants,label,""); | |
401 | l1a->Draw(); | |
402 | c3->Update(); | |
403 | } | |
404 | ||
405 | void AliFastGlauber::DrawThickness() const | |
406 | { | |
407 | // | |
408 | // Draw Thickness Function | |
409 | // | |
410 | TCanvas *c4 = new TCanvas("c4","Thickness",400,10,600,700); | |
411 | c4->cd(); | |
412 | Double_t max=fgWSta->GetMaximum(0,fgBMax)*1.01; | |
413 | TH2F *h2f=new TH2F("h2fta","Thickness function: T_{A} [fm^{-2}]",2,0,fgBMax,2,0,max); | |
414 | h2f->SetStats(0); | |
415 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
416 | h2f->GetYaxis()->SetTitle("T_{A} [fm^{-2}]"); | |
417 | h2f->Draw(); | |
418 | fgWSta->Draw("same"); | |
419 | } | |
420 | ||
421 | void AliFastGlauber::DrawGeo() const | |
422 | { | |
423 | // | |
424 | // Draw Geometrical Cross-Section | |
425 | // | |
426 | TCanvas *c5 = new TCanvas("c5","Geometrical Cross-Section",400,10,600,700); | |
427 | c5->cd(); | |
428 | Double_t max=fgWSgeo->GetMaximum(0,fgBMax)*1.01; | |
429 | TH2F *h2f=new TH2F("h2fgeo","Differential Geometrical Cross-Section: d#sigma^{geo}_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
430 | h2f->SetStats(0); | |
431 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
432 | h2f->GetYaxis()->SetTitle("d#sigma^{geo}_{AB}/db [fm]"); | |
433 | h2f->Draw(); | |
434 | fgWSgeo->Draw("same"); | |
435 | TLegend *l1a = new TLegend(0.10,0.8,.40,0.9); | |
436 | l1a->SetFillStyle(0); | |
437 | l1a->SetBorderSize(0); | |
438 | Char_t label[100]; | |
439 | sprintf(label,"#sigma_{NN}^{inel.} = %.1f mbarn",fSigmaNN); | |
440 | l1a->AddEntry(fgWSgeo,label,""); | |
441 | l1a->Draw(); | |
442 | c5->Update(); | |
443 | } | |
444 | ||
445 | void AliFastGlauber::DrawBinary() const | |
446 | { | |
447 | // | |
448 | // Draw Binary Cross-Section | |
449 | // | |
450 | TCanvas *c6 = new TCanvas("c6","Binary Cross-Section",400,10,600,700); | |
451 | c6->cd(); | |
452 | Double_t max=fgWSbinary->GetMaximum(0,fgBMax)*1.01; | |
453 | TH2F *h2f=new TH2F("h2fbinary","Differential Binary Cross-Section: #sigma^{hard}_{NN} dT_{AB}/db [fm]",2,0,fgBMax,2,0,max); | |
454 | h2f->SetStats(0); | |
455 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
456 | h2f->GetYaxis()->SetTitle("d#sigma^{hard}_{AB}/db [fm]"); | |
457 | h2f->Draw(); | |
458 | fgWSbinary->Draw("same"); | |
459 | TLegend *l1a = new TLegend(0.50,0.8,.90,0.9); | |
460 | l1a->SetFillStyle(0); | |
461 | l1a->SetBorderSize(0); | |
462 | Char_t label[100]; | |
463 | sprintf(label,"#sigma_{NN}^{hard} = %.1f mbarn",fSigmaHard); | |
464 | l1a->AddEntry(fgWSb,label,""); | |
465 | l1a->Draw(); | |
466 | c6->Update(); | |
467 | } | |
468 | ||
469 | void AliFastGlauber::DrawN() const | |
470 | { | |
471 | // | |
472 | // Draw Binaries per event (Ncoll) | |
473 | // | |
474 | TCanvas *c7 = new TCanvas("c7","Binaries per event",400,10,600,700); | |
475 | c7->cd(); | |
476 | Double_t max=fgWSN->GetMaximum(0,fgBMax)*1.01; | |
477 | TH2F *h2f=new TH2F("h2fhardcols","Number of hard collisions: T_{AB} #sigma^{hard}_{NN}/#sigma_{AB}^{geo}",2,0,fgBMax,2,0,max); | |
478 | h2f->SetStats(0); | |
479 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
480 | h2f->GetYaxis()->SetTitle("N_{coll}"); | |
481 | h2f->Draw(); | |
482 | fgWSN->Draw("same"); | |
483 | TLegend *l1a = new TLegend(0.50,0.75,.90,0.9); | |
484 | l1a->SetFillStyle(0); | |
485 | l1a->SetBorderSize(0); | |
486 | Char_t label[100]; | |
487 | sprintf(label,"#sigma^{hard}_{NN} = %.1f mbarn",fSigmaHard); | |
488 | l1a->AddEntry(fgWSN,label,""); | |
489 | sprintf(label,"#sigma^{inel.}_{NN} = %.1f mbarn",fSigmaNN); | |
490 | l1a->AddEntry(fgWSN,label,""); | |
491 | l1a->Draw(); | |
492 | c7->Update(); | |
493 | } | |
494 | ||
495 | void AliFastGlauber::DrawKernel(Double_t b) const | |
496 | { | |
497 | // | |
498 | // Draw Kernel | |
499 | // | |
500 | TCanvas *c8 = new TCanvas("c8","Kernel",400,10,600,700); | |
501 | c8->cd(); | |
502 | fgWStarfi->SetParameter(0, b); | |
503 | 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()); | |
504 | h2f->SetStats(0); | |
505 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
506 | h2f->GetYaxis()->SetTitle("#phi [rad]"); | |
507 | h2f->Draw(); | |
508 | fgWStarfi->Draw("same"); | |
509 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
510 | l1a->SetFillStyle(0); | |
511 | l1a->SetBorderSize(0); | |
512 | Char_t label[100]; | |
513 | sprintf(label,"b = %.1f fm",b); | |
514 | l1a->AddEntry(fgWStarfi,label,""); | |
515 | l1a->Draw(); | |
516 | c8->Update(); | |
517 | } | |
518 | ||
519 | void AliFastGlauber::DrawAlmond(Double_t b) const | |
520 | { | |
521 | // | |
522 | // Draw Interaction Almond | |
523 | // | |
524 | TCanvas *c9 = new TCanvas("c9","Almond",400,10,600,700); | |
525 | c9->cd(); | |
526 | fgWAlmond->SetParameter(0, b); | |
527 | TH2F *h2f=new TH2F("h2falmond","Interaction Almond [fm^{-4}]",2,0,fgBMax,2,0,fgBMax); | |
528 | h2f->SetStats(0); | |
529 | h2f->GetXaxis()->SetTitle("x [fm]"); | |
530 | h2f->GetYaxis()->SetTitle("y [fm]"); | |
531 | h2f->Draw(); | |
532 | fgWAlmond->Draw("same"); | |
533 | TLegend *l1a = new TLegend(0.65,0.8,.90,0.9); | |
534 | l1a->SetFillStyle(0); | |
535 | l1a->SetBorderSize(0); | |
536 | Char_t label[100]; | |
537 | sprintf(label,"b = %.1f fm",b); | |
538 | l1a->AddEntry(fgWAlmond,label,""); | |
539 | l1a->Draw(); | |
540 | c9->Update(); | |
541 | } | |
542 | ||
543 | void AliFastGlauber::DrawEnergyDensity() const | |
544 | { | |
545 | // | |
546 | // Draw energy density | |
547 | // | |
548 | TCanvas *c10 = new TCanvas("c10","Energy Density",400, 10, 600, 700); | |
549 | c10->cd(); | |
550 | fgWEnergyDensity->SetMinimum(0.); | |
551 | Double_t max=fgWEnergyDensity->GetMaximum(0,fgWEnergyDensity->GetParameter(0))*1.01; | |
552 | TH2F *h2f=new TH2F("h2fenergydens","Energy density",2,0,fgBMax,2,0,max); | |
553 | h2f->SetStats(0); | |
554 | h2f->GetXaxis()->SetTitle("b [fm]"); | |
555 | h2f->GetYaxis()->SetTitle("fm^{-4}"); | |
556 | h2f->Draw(); | |
557 | fgWEnergyDensity->Draw("same"); | |
558 | c10->Update(); | |
559 | } | |
560 | ||
561 | void AliFastGlauber::DrawPathLength0(Double_t b, Int_t iopt) const | |
562 | { | |
563 | // | |
564 | // Draw Path Length | |
565 | // | |
566 | TCanvas *c11 = new TCanvas("c11","Path Length",400,10,600,700); | |
567 | c11->cd(); | |
568 | fgWPathLength0->SetParameter(0, b); | |
569 | fgWPathLength0->SetParameter(1, Double_t(iopt)); | |
570 | fgWPathLength0->SetMinimum(0.); | |
571 | fgWPathLength0->SetMaximum(10.); | |
572 | TH2F *h2f=new TH2F("h2fpathlength0","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
573 | h2f->SetStats(0); | |
574 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
575 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
576 | h2f->Draw(); | |
577 | fgWPathLength0->Draw("same"); | |
578 | } | |
579 | ||
580 | void AliFastGlauber::DrawPathLength(Double_t b , Int_t ni, Int_t iopt) const | |
581 | { | |
582 | // | |
583 | // Draw Path Length | |
584 | // | |
585 | TCanvas *c12 = new TCanvas("c12","Path Length",400,10,600,700); | |
586 | c12->cd(); | |
587 | fgWAlmond->SetParameter(0, b); | |
588 | fgWPathLength->SetParameter(0, b); | |
589 | fgWPathLength->SetParameter(1, Double_t (ni)); | |
590 | fgWPathLength->SetParameter(2, Double_t (iopt)); | |
591 | fgWPathLength->SetMinimum(0.); | |
592 | fgWPathLength->SetMaximum(10.); | |
593 | TH2F *h2f=new TH2F("h2fpathlength","Path length",2,-TMath::Pi(), TMath::Pi(),2,0,10.); | |
594 | h2f->SetStats(0); | |
595 | h2f->GetXaxis()->SetTitle("#phi [rad]"); | |
596 | h2f->GetYaxis()->SetTitle("l [fm]"); | |
597 | h2f->Draw(); | |
598 | fgWPathLength->Draw("same"); | |
599 | } | |
600 | ||
601 | void AliFastGlauber::DrawIntRadius(Double_t b) const | |
602 | { | |
603 | // | |
604 | // Draw Interaction Radius | |
605 | // | |
606 | TCanvas *c13 = new TCanvas("c13","Interaction Radius",400,10,600,700); | |
607 | c13->cd(); | |
608 | fgWIntRadius->SetParameter(0, b); | |
609 | fgWIntRadius->SetMinimum(0); | |
610 | Double_t max=fgWIntRadius->GetMaximum(0,fgBMax)*1.01; | |
611 | TH2F *h2f=new TH2F("h2fintradius","Interaction Density",2,0.,fgBMax,2,0,max); | |
612 | h2f->SetStats(0); | |
613 | h2f->GetXaxis()->SetTitle("r [fm]"); | |
614 | h2f->GetYaxis()->SetTitle("[fm^{-3}]"); | |
615 | h2f->Draw(); | |
616 | fgWIntRadius->Draw("same"); | |
617 | } | |
618 | ||
619 | Double_t AliFastGlauber::WSb(const Double_t* x, const Double_t* par) | |
620 | { | |
621 | // | |
622 | // Woods-Saxon Parameterisation | |
623 | // as a function of radius (xx) | |
624 | // | |
625 | const Double_t kxx = x[0]; //fm | |
626 | const Double_t kr0 = par[0]; //fm | |
627 | const Double_t kd = par[1]; //fm | |
628 | const Double_t kw = par[2]; //no units | |
629 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
630 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
631 | return y; //fm^-3 | |
632 | } | |
633 | ||
634 | Double_t AliFastGlauber::WSbz(const Double_t* x, const Double_t* par) | |
635 | { | |
636 | // | |
637 | // Wood Saxon Parameterisation | |
638 | // as a function of z and b | |
639 | // | |
640 | const Double_t kbb = x[0]; //fm | |
641 | const Double_t kzz = x[1]; //fm | |
642 | const Double_t kr0 = par[0]; //fm | |
643 | const Double_t kd = par[1]; //fm | |
644 | const Double_t kw = par[2]; //no units | |
645 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
646 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
647 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
648 | return y; //fm^-3 | |
649 | } | |
650 | ||
651 | Double_t AliFastGlauber::WSz(const Double_t* x, const Double_t* par) | |
652 | { | |
653 | // | |
654 | // Wood Saxon Parameterisation | |
655 | // as a function of z for fixed b | |
656 | // | |
657 | const Double_t kzz = x[0]; //fm | |
658 | const Double_t kr0 = par[0]; //fm | |
659 | const Double_t kd = par[1]; //fm | |
660 | const Double_t kw = par[2]; //no units | |
661 | const Double_t kn = par[3]; //fm^-3 (used to normalize integral to one) | |
662 | const Double_t kbb = par[4]; //fm | |
663 | const Double_t kxx = TMath::Sqrt(kbb*kbb+kzz*kzz); | |
664 | Double_t y = kn * (1.+kw*(kxx/kr0)*(kxx/kr0))/(1.+TMath::Exp((kxx-kr0)/kd)); | |
665 | return y; //fm^-3 | |
666 | } | |
667 | ||
668 | Double_t AliFastGlauber::WSta(const Double_t* x, const Double_t* /*par*/) | |
669 | { | |
670 | // | |
671 | // Thickness function T_A | |
672 | // as a function of b | |
673 | // | |
674 | const Double_t kb = x[0]; | |
675 | fgWSz->SetParameter(4, kb); | |
676 | Double_t y = 2. * fgWSz->Integral(0., fgBMax); | |
677 | return y; //fm^-2 | |
678 | } | |
679 | ||
680 | Double_t AliFastGlauber::WStarfi(const Double_t* x, const Double_t* par) | |
681 | { | |
682 | // | |
683 | // Kernel for overlap function: T_A(s)*T_A(s-b) | |
684 | // as a function of r and phi | |
685 | const Double_t kr1 = x[0]; | |
686 | const Double_t kphi = x[1]; | |
687 | const Double_t kb = par[0]; | |
688 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
689 | Double_t y = kr1 * fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
690 | return y; //fm^-3 | |
691 | } | |
692 | ||
693 | Double_t AliFastGlauber::WStaa(const Double_t* x, const Double_t* par) | |
694 | { | |
695 | // | |
696 | // Overlap function | |
697 | // T_{AB}=Int d2s T_A(s)*T_B(s-b) | |
698 | // as a function of b | |
699 | // (normalized to fA*fB) | |
700 | // | |
701 | const Double_t kb = x[0]; | |
702 | const Double_t ka = par[0]; | |
703 | fgWStarfi->SetParameter(0, kb); | |
704 | ||
705 | // root integration seems to fail | |
706 | /* | |
707 | Double_t al[2]; | |
708 | Double_t bl[2]; | |
709 | al[0] = 1e-6; | |
710 | al[1] = fgBMax; | |
711 | bl[0] = 0.; | |
712 | bl[1] = TMath::Pi(); | |
713 | Double_t err; | |
714 | ||
715 | Double_t y = 2. * 208. * 208. * fgWStarfi->IntegralMultiple(2, al, bl, 0.001, err); | |
716 | printf("WStaa: %.5e %.5e %.5e\n", b, y, err); | |
717 | */ | |
718 | ||
719 | // | |
720 | // MC Integration | |
721 | // | |
722 | Double_t y = 0; | |
723 | ||
724 | ||
725 | for (Int_t i = 0; i < fgkMCInts; i++) | |
726 | { | |
727 | ||
728 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); | |
729 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
730 | y += fgWStarfi->Eval(kb1, kphi); | |
731 | } | |
732 | y *= 2. * TMath::Pi() * fgBMax / fgkMCInts; //fm^-2 | |
733 | y *= ka * ka * 0.1; //mbarn^-1 | |
734 | return y; | |
735 | } | |
736 | ||
737 | Double_t AliFastGlauber::WKParticipants(const Double_t* x, const Double_t* par) | |
738 | { | |
739 | // | |
740 | // Kernel for number of participants | |
741 | // as a function of r and phi | |
742 | // | |
743 | const Double_t kr1 = x[0]; | |
744 | const Double_t kphi = x[1]; | |
745 | const Double_t kb = par[0]; //fm | |
746 | const Double_t ksig = par[1]; //mbarn | |
747 | const Double_t ka = par[2]; //mass number | |
748 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 +kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
749 | const Double_t kxsi = fgWSta->Eval(kr2) * ksig * 0.1; //no units | |
750 | /* | |
751 | Double_t y=(1-TMath::Power((1-xsi),aa)) | |
752 | */ | |
753 | Double_t a = ka; | |
754 | Double_t sum = ka * kxsi; | |
755 | Double_t y = sum; | |
756 | for (Int_t i = 1; i <= ka; i++) | |
757 | { | |
758 | a--; | |
759 | sum *= (-kxsi) * a / Float_t(i+1); | |
760 | y += sum; | |
761 | } | |
762 | y *= kr1 * fgWSta->Eval(kr1); | |
763 | return y; //fm^-1 | |
764 | } | |
765 | ||
766 | Double_t AliFastGlauber::WParticipants(const Double_t* x, const Double_t* par) | |
767 | { | |
768 | // | |
769 | // Number of Participants as | |
770 | // a function of b | |
771 | // | |
772 | const Double_t kb = x[0]; | |
773 | const Double_t ksig = par[0]; //mbarn | |
774 | const Double_t ka = par[1]; //mass number | |
775 | fgWKParticipants->SetParameter(0, kb); | |
776 | fgWKParticipants->SetParameter(1, ksig); | |
777 | fgWKParticipants->SetParameter(2, ka); | |
778 | ||
779 | // | |
780 | // MC Integration | |
781 | // | |
782 | Double_t y = 0; | |
783 | for (Int_t i = 0; i < fgkMCInts; i++) | |
784 | { | |
785 | const Double_t kphi = TMath::Pi() * gRandom->Rndm(); | |
786 | const Double_t kb1 = fgBMax * gRandom->Rndm(); | |
787 | y += fgWKParticipants->Eval(kb1, kphi); | |
788 | } | |
789 | y *= 2. * ka * 2. * TMath::Pi() * fgBMax / fgkMCInts; | |
790 | return y; //no units | |
791 | } | |
792 | ||
793 | Double_t AliFastGlauber::WSgeo(const Double_t* x, const Double_t* par) | |
794 | { | |
795 | // | |
796 | // Geometrical Cross-Section | |
797 | // as a function of b | |
798 | // | |
799 | const Double_t kb = x[0]; //fm | |
800 | const Double_t ksigNN = par[0]; //mbarn | |
801 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
802 | Double_t y = 2. * TMath::Pi() * kb * (1. - TMath::Exp(- ksigNN * ktaa)); | |
803 | return y; //fm | |
804 | } | |
805 | ||
806 | Double_t AliFastGlauber::WSbinary(const Double_t* x, const Double_t* par) | |
807 | { | |
808 | // | |
809 | // Number of binary hard collisions | |
810 | // as a function of b | |
811 | // | |
812 | const Double_t kb = x[0]; //fm | |
813 | const Double_t ksig = par[0]; //mbarn | |
814 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
815 | Double_t y = 2. * TMath::Pi() * kb * ksig * ktaa; | |
816 | return y; //fm | |
817 | } | |
818 | ||
819 | Double_t AliFastGlauber::WSN(const Double_t* x, const Double_t* /*par*/) | |
820 | { | |
821 | // | |
822 | // Number of hard processes per event | |
823 | // as a function of b | |
824 | const Double_t kb = x[0]; | |
825 | Double_t y = fgWSbinary->Eval(kb)/fgWSgeo->Eval(kb); | |
826 | return y; //no units | |
827 | } | |
828 | ||
829 | Double_t AliFastGlauber::WEnergyDensity(const Double_t* x, const Double_t* par) | |
830 | { | |
831 | // | |
832 | // Initial energy density | |
833 | // as a function of the impact parameter | |
834 | // | |
835 | const Double_t kb = x[0]; | |
836 | const Double_t krA = par[0]; | |
837 | // | |
838 | // Attention: area of transverse reaction zone in hard-sphere approximation ! | |
839 | const Double_t krA2=krA*krA; | |
840 | const Double_t kb2=kb*kb; | |
841 | const Double_t ksaa = (TMath::Pi() - 2. * TMath::ASin(kb/ 2./ krA)) * krA2 | |
842 | - kb * TMath::Sqrt(krA2 - kb2/ 4.); //fm^2 | |
843 | const Double_t ktaa = fgWStaa->Eval(kb); //mbarn^-1 | |
844 | Double_t y=ktaa/ksaa*10; | |
845 | return y; //fm^-4 | |
846 | } | |
847 | ||
848 | Double_t AliFastGlauber::WAlmond(const Double_t* x, const Double_t* par) | |
849 | { | |
850 | // | |
851 | // Almond shaped interaction region | |
852 | // as a function of cartesian x,y. | |
853 | // | |
854 | const Double_t kb = par[0]; | |
855 | const Double_t kxx = x[0] + kb/2.; | |
856 | const Double_t kyy = x[1]; | |
857 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
858 | const Double_t kphi = TMath::ATan2(kyy,kxx); | |
859 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
860 | // | |
861 | // Interaction probability calculated as product of thicknesses | |
862 | // | |
863 | Double_t y = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
864 | return y; //fm^-4 | |
865 | } | |
866 | ||
867 | Double_t AliFastGlauber::WIntRadius(const Double_t* x, const Double_t* par) | |
868 | { | |
869 | // | |
870 | // Average interaction density over radius | |
871 | // at which interaction takes place | |
872 | // as a function of radius | |
873 | // | |
874 | const Double_t kr = x[0]; | |
875 | const Double_t kb = par[0]; | |
876 | fgWAlmond->SetParameter(0, kb); | |
877 | // Average over phi in small steps | |
878 | const Double_t kdphi = 2. * TMath::Pi() / 100.; | |
879 | Double_t phi = 0.; | |
880 | Double_t y = 0.; | |
881 | for (Int_t i = 0; i < 100; i++) { | |
882 | const Double_t kxx = kr * TMath::Cos(phi); | |
883 | const Double_t kyy = kr * TMath::Sin(phi); | |
884 | y += fgWAlmond->Eval(kxx,kyy); | |
885 | phi += kdphi; | |
886 | } // phi loop | |
887 | // Result multiplied by Jacobian (2 pi r) | |
888 | y *= 2. * TMath::Pi() * kr / 100.; | |
889 | return y; //fm^-3 | |
890 | } | |
891 | ||
892 | Double_t AliFastGlauber::WPathLength0(const Double_t* x, const Double_t* par) | |
893 | { | |
894 | // | |
895 | // Path Length as a function of phi | |
896 | // for interaction point fixed at (0,0) | |
897 | // as a function of phi-direction | |
898 | // | |
899 | // Phi direction in Almond | |
900 | const Double_t kphi0 = x[0]; | |
901 | const Double_t kb = par[0]; | |
902 | // Path Length definition | |
903 | const Int_t kiopt = Int_t(par[1]); | |
904 | ||
905 | // Step along radial direction phi | |
906 | const Int_t kNp = 100; // Steps in r | |
907 | const Double_t kDr = fgBMax/kNp; | |
908 | Double_t r = 0.; | |
909 | Double_t rw = 0.; | |
910 | Double_t w = 0.; | |
911 | for (Int_t i = 0; i < kNp; i++) { | |
912 | // | |
913 | // Transform into target frame | |
914 | // | |
915 | const Double_t kxx = r * TMath::Cos(kphi0) + kb / 2.; | |
916 | const Double_t kyy = r * TMath::Sin(kphi0); | |
917 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
918 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
919 | // Radius in projectile frame | |
920 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
921 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
922 | ||
923 | rw += ky * r; | |
924 | w += ky; | |
925 | r += kDr; | |
926 | } // radial steps | |
927 | ||
928 | Double_t y=0.; | |
929 | if (!kiopt) { // My length definition (is exact for hard disk) | |
930 | if(w) y= 2. * rw / w; | |
931 | } else { | |
932 | const Double_t knorm=fgWSta->Eval(1e-4); | |
933 | if(knorm) y = TMath::Sqrt(2. * rw * kDr / knorm / knorm); | |
934 | } | |
935 | return y; //fm | |
936 | } | |
937 | ||
938 | Double_t AliFastGlauber::WPathLength(const Double_t* x, const Double_t* par) | |
939 | { | |
940 | // | |
941 | // Path Length as a function of phi | |
942 | // Interaction point from random distribution | |
943 | // as a function of the phi-direction | |
944 | const Double_t kphi0 = x[0]; | |
945 | const Double_t kb = par[0]; | |
946 | fgWAlmond->SetParameter(0, kb); | |
947 | const Int_t kNpi = Int_t (par[1]); //Number of interactions | |
948 | const Int_t kiopt = Int_t(par[2]); //Path Length definition | |
949 | ||
950 | // | |
951 | // r-steps | |
952 | // | |
953 | const Int_t kNp = 100; | |
954 | const Double_t kDr = fgBMax/Double_t(kNp); | |
955 | Double_t l = 0.; // Path length | |
956 | for (Int_t in = 0; in < kNpi; in ++) { | |
957 | Double_t rw = 0.; | |
958 | Double_t w = 0.; | |
959 | // Interaction point | |
960 | Double_t x0, y0; | |
961 | fgWAlmond->GetRandom2(x0, y0); | |
962 | // Initial radius | |
963 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
964 | const Int_t knps = Int_t ((fgBMax - kr0)/kDr) - 1; | |
965 | ||
966 | // Radial steps | |
967 | Double_t r = 0.; | |
968 | for (Int_t i = 0; (i < knps ); i++) { | |
969 | // Transform into target frame | |
970 | const Double_t kxx = x0 + r * TMath::Cos(kphi0) + kb / 2.; | |
971 | const Double_t kyy = y0 + r * TMath::Sin(kphi0); | |
972 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
973 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
974 | // Radius in projectile frame | |
975 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + kb*kb - 2.*kr1*kb*TMath::Cos(kphi)); | |
976 | const Double_t ky = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
977 | ||
978 | rw += ky * r; | |
979 | w += ky; | |
980 | r += kDr; | |
981 | } // steps | |
982 | // Average over interactions | |
983 | if (!kiopt) { | |
984 | if(w) l += (2. * rw / w); | |
985 | } else { | |
986 | const Double_t knorm=fgWSta->Eval(1e-4); | |
987 | if(knorm) l+= 2. * rw * kDr / knorm / knorm; | |
988 | } | |
989 | } // interactions | |
990 | Double_t ret=0; | |
991 | if (!kiopt) | |
992 | ret= l / kNpi; | |
993 | else | |
994 | ret=TMath::Sqrt( l / kNpi); | |
995 | return ret; //fm | |
996 | } | |
997 | ||
998 | Double_t AliFastGlauber::CrossSection(Double_t b1, Double_t b2) const | |
999 | { | |
1000 | // | |
1001 | // Return the geometrical cross-section integrated from b1 to b2 | |
1002 | // | |
1003 | return fgWSgeo->Integral(b1, b2)*10.; //mbarn | |
1004 | } | |
1005 | ||
1006 | Double_t AliFastGlauber::HardCrossSection(Double_t b1, Double_t b2) const | |
1007 | { | |
1008 | // | |
1009 | // Return the hard cross-section integrated from b1 to b2 | |
1010 | // | |
1011 | return fgWSbinary->Integral(b1, b2)*10.; //mbarn | |
1012 | } | |
1013 | ||
1014 | Double_t AliFastGlauber::FractionOfHardCrossSection(Double_t b1, Double_t b2) const | |
1015 | { | |
1016 | // | |
1017 | // Return fraction of hard cross-section integrated from b1 to b2 | |
1018 | // | |
1019 | return fgWSbinary->Integral(b1, b2)/fgWSbinary->Integral(0., 100.); | |
1020 | } | |
1021 | ||
1022 | Double_t AliFastGlauber::NHard(const Double_t b1, const Double_t b2) const | |
1023 | { | |
1024 | // | |
1025 | // Number of binary hard collisions | |
1026 | // as a function of b (nucl/ex/0302016 eq. 19) | |
1027 | // | |
1028 | const Double_t kshard=HardCrossSection(b1,b2); | |
1029 | const Double_t ksgeo=CrossSection(b1,b2); | |
1030 | if(ksgeo>0) | |
1031 | return kshard/ksgeo; | |
1032 | else return -1; | |
1033 | } | |
1034 | ||
1035 | Double_t AliFastGlauber::Binaries(Double_t b) const | |
1036 | { | |
1037 | // | |
1038 | // Return number of binary hard collisions normalized to 1 at b=0 | |
1039 | // | |
1040 | if(b < 1.e-4) b = 1e-4; | |
1041 | return fgWSN->Eval(b)/fgWSN->Eval(1e-4); | |
1042 | } | |
1043 | ||
1044 | Double_t AliFastGlauber::MeanOverlap(Double_t b1, Double_t b2) | |
1045 | { | |
1046 | // | |
1047 | // Calculate the mean overlap for impact parameter range b1 .. b2 | |
1048 | // | |
1049 | Double_t sum = 0.; | |
1050 | Double_t sumc = 0.; | |
1051 | Double_t b = b1; | |
1052 | ||
1053 | while (b < b2-0.005) { | |
1054 | Double_t nc = GetNumberOfCollisions(b); | |
1055 | sum += 10. * fgWStaa->Eval(b) * fgWSgeo->Eval(b) * 0.01 / (1. - TMath::Exp(-nc)); | |
1056 | sumc += 10. * fgWSgeo->Eval(b) * 0.01; | |
1057 | b += 0.01; | |
1058 | } | |
1059 | return (sum / CrossSection(b1, b2)); | |
1060 | } | |
1061 | ||
1062 | ||
1063 | Double_t AliFastGlauber::MeanNumberOfCollisionsPerEvent(Double_t b1, Double_t b2) | |
1064 | { | |
1065 | // | |
1066 | // Calculate the mean number of collisions per event for impact parameter range b1 .. b2 | |
1067 | // | |
1068 | Double_t sum = 0.; | |
1069 | Double_t sumc = 0.; | |
1070 | Double_t b = b1; | |
1071 | ||
1072 | while (b < b2-0.005) { | |
1073 | Double_t nc = GetNumberOfCollisions(b); | |
1074 | sum += nc / (1. - TMath::Exp(-nc)) * 10. * fgWSgeo->Eval(b) * 0.01; | |
1075 | sumc += 10. * fgWSgeo->Eval(b) * 0.01; | |
1076 | b += 0.01; | |
1077 | } | |
1078 | return (sum / CrossSection(b1, b2)); | |
1079 | } | |
1080 | ||
1081 | ||
1082 | Double_t AliFastGlauber::GetNumberOfBinaries(Double_t b) const | |
1083 | { | |
1084 | // | |
1085 | // Return number of binary hard collisions at b | |
1086 | // | |
1087 | if(b<1.e-4) b=1e-4; | |
1088 | return fgWSN->Eval(b); | |
1089 | } | |
1090 | ||
1091 | Double_t AliFastGlauber::Participants(Double_t b) const | |
1092 | { | |
1093 | // | |
1094 | // Return the number of participants normalized to 1 at b=0 | |
1095 | // | |
1096 | if(b<1.e-4) b=1e-4; | |
1097 | return (fgWParticipants->Eval(b)/fgWParticipants->Eval(1e-4)); | |
1098 | } | |
1099 | ||
1100 | Double_t AliFastGlauber::GetNumberOfParticipants(Double_t b) const | |
1101 | { | |
1102 | // | |
1103 | // Return the number of participants for impact parameter b | |
1104 | // | |
1105 | if(b<1.e-4) b=1e-4; | |
1106 | return (fgWParticipants->Eval(b)); | |
1107 | } | |
1108 | ||
1109 | Double_t AliFastGlauber::GetNumberOfCollisions(Double_t b) const | |
1110 | { | |
1111 | // | |
1112 | // Return the number of collisions for impact parameter b | |
1113 | // | |
1114 | if(b<1.e-4) b=1e-4; | |
1115 | return (fgWStaa->Eval(b)*fSigmaNN); | |
1116 | } | |
1117 | ||
1118 | Double_t AliFastGlauber::GetNumberOfCollisionsPerEvent(Double_t b) const | |
1119 | { | |
1120 | // | |
1121 | // Return the number of collisions per event (at least one collision) | |
1122 | // for impact parameter b | |
1123 | // | |
1124 | Double_t n = GetNumberOfCollisions(b); | |
1125 | if (n > 0.) { | |
1126 | return (n / (1. - TMath::Exp(- n))); | |
1127 | } else { | |
1128 | return (0.); | |
1129 | } | |
1130 | } | |
1131 | ||
1132 | void AliFastGlauber::SimulateTrigger(Int_t n) | |
1133 | { | |
1134 | // | |
1135 | // Simulates Trigger | |
1136 | // | |
1137 | TH1F* mbtH = new TH1F("mbtH", "MB Trigger b-Distribution", 100, 0., 20.); | |
1138 | TH1F* hdtH = new TH1F("hdtH", "Hard Trigger b-Distribution", 100, 0., 20.); | |
1139 | TH1F* mbmH = new TH1F("mbmH", "MB Trigger Multiplicity Distribution", 100, 0., 8000.); | |
1140 | TH1F* hdmH = new TH1F("hdmH", "Hard Trigger Multiplicity Distribution", 100, 0., 8000.); | |
1141 | ||
1142 | mbtH->SetXTitle("b [fm]"); | |
1143 | hdtH->SetXTitle("b [fm]"); | |
1144 | mbmH->SetXTitle("Multiplicity"); | |
1145 | hdmH->SetXTitle("Multiplicity"); | |
1146 | ||
1147 | TCanvas *c0 = new TCanvas("c0","Trigger Simulation",400,10,600,700); | |
1148 | c0->Divide(2,1); | |
1149 | TCanvas *c1 = new TCanvas("c1","Trigger Simulation",400,10,600,700); | |
1150 | c1->Divide(1,2); | |
1151 | ||
1152 | // | |
1153 | // | |
1154 | Init(1); | |
1155 | for (Int_t iev = 0; iev < n; iev++) | |
1156 | { | |
1157 | Float_t b, p, mult; | |
1158 | GetRandom(b, p, mult); | |
1159 | mbtH->Fill(b,1.); | |
1160 | hdtH->Fill(b, p); | |
1161 | mbmH->Fill(mult, 1.); | |
1162 | hdmH->Fill(mult, p); | |
1163 | ||
1164 | c0->cd(1); | |
1165 | mbtH->Draw(); | |
1166 | c0->cd(2); | |
1167 | hdtH->Draw(); | |
1168 | c0->Update(); | |
1169 | ||
1170 | c1->cd(1); | |
1171 | mbmH->Draw(); | |
1172 | c1->cd(2); | |
1173 | hdmH->Draw(); | |
1174 | c1->Update(); | |
1175 | } | |
1176 | } | |
1177 | ||
1178 | void AliFastGlauber::GetRandom(Float_t& b, Float_t& p, Float_t& mult) | |
1179 | { | |
1180 | // | |
1181 | // Gives back a random impact parameter, hard trigger probability and multiplicity | |
1182 | // | |
1183 | b = fgWSgeo->GetRandom(); | |
1184 | const Float_t kmu = fgWSN->Eval(b); | |
1185 | p = 1.-TMath::Exp(-kmu); | |
1186 | mult = 6000./fgWSN->Eval(1.) * kmu; | |
1187 | } | |
1188 | ||
1189 | void AliFastGlauber::GetRandom(Int_t& bin, Bool_t& hard) | |
1190 | { | |
1191 | // | |
1192 | // Gives back a random impact parameter bin, and hard trigger decission | |
1193 | // | |
1194 | const Float_t kb = fgWSgeo->GetRandom(); | |
1195 | const Float_t kmu = fgWSN->Eval(kb) * fSigmaHard; | |
1196 | const Float_t kp = 1.-TMath::Exp(-kmu); | |
1197 | if (kb < 5.) { | |
1198 | bin = 1; | |
1199 | } else if (kb < 8.6) { | |
1200 | bin = 2; | |
1201 | } else if (kb < 11.2) { | |
1202 | bin = 3; | |
1203 | } else if (kb < 13.2) { | |
1204 | bin = 4; | |
1205 | } else if (kb < 15.0) { | |
1206 | bin = 5; | |
1207 | } else { | |
1208 | bin = 6; | |
1209 | } | |
1210 | hard = kFALSE; | |
1211 | const Float_t kr = gRandom->Rndm(); | |
1212 | if (kr < kp) hard = kTRUE; | |
1213 | } | |
1214 | ||
1215 | Double_t AliFastGlauber::GetRandomImpactParameter(Double_t bmin, Double_t bmax) | |
1216 | { | |
1217 | // | |
1218 | // Gives back a random impact parameter in the range bmin .. bmax | |
1219 | // | |
1220 | Float_t b = -1.; | |
1221 | while(b < bmin || b > bmax) | |
1222 | b = fgWSgeo->GetRandom(); | |
1223 | return b; | |
1224 | } | |
1225 | ||
1226 | void AliFastGlauber::StoreFunctions() const | |
1227 | { | |
1228 | // | |
1229 | // Store in file functions | |
1230 | // | |
1231 | TFile* ff = new TFile(fName.Data(),"recreate"); | |
1232 | fgWStaa->Write("WStaa"); | |
1233 | fgWParticipants->Write("WParticipants"); | |
1234 | ff->Close(); | |
1235 | return; | |
1236 | } | |
1237 | ||
1238 | //=================== Added by A. Dainese 11/02/04 =========================== | |
1239 | ||
1240 | void AliFastGlauber::StoreAlmonds() const | |
1241 | { | |
1242 | // | |
1243 | // Store in file | |
1244 | // 40 almonds for b = (0.25+k*0.5) fm (k=0->39) | |
1245 | // | |
1246 | Char_t almondName[100]; | |
1247 | TFile* ff = new TFile(fName.Data(),"update"); | |
1248 | for(Int_t k=0; k<40; k++) { | |
1249 | sprintf(almondName,"WAlmondFixedB%d",k); | |
1250 | Double_t b = 0.25+k*0.5; | |
1251 | Info("StoreAlmonds"," b = %f\n",b); | |
1252 | fgWAlmond->SetParameter(0,b); | |
1253 | fgWAlmond->Write(almondName); | |
1254 | } | |
1255 | ff->Close(); | |
1256 | return; | |
1257 | } | |
1258 | ||
1259 | void AliFastGlauber::SetCentralityClass(Double_t xsecFrLow,Double_t xsecFrUp) | |
1260 | { | |
1261 | // | |
1262 | // Set limits of centrality class as fractions | |
1263 | // of the geomtrical cross section | |
1264 | // | |
1265 | if(xsecFrLow>1. || xsecFrUp>1. || xsecFrLow>xsecFrUp) { | |
1266 | Error("SetCentralityClass", "Please set 0 <= xsecFrLow <= xsecFrUp <= 1\n"); | |
1267 | return; | |
1268 | } | |
1269 | ||
1270 | Double_t bLow=0.,bUp=0.; | |
1271 | Double_t xsecFr=0.; | |
1272 | const Double_t knorm=fgWSgeo->Integral(0.,100.); | |
1273 | while(xsecFr<xsecFrLow) { | |
1274 | xsecFr = fgWSgeo->Integral(0.,bLow)/knorm; | |
1275 | bLow += 0.1; | |
1276 | } | |
1277 | bUp = bLow; | |
1278 | while(xsecFr<xsecFrUp) { | |
1279 | xsecFr = fgWSgeo->Integral(0.,bUp)/knorm; | |
1280 | bUp += 0.1; | |
1281 | } | |
1282 | ||
1283 | Info("SetCentralityClass", "Centrality class: %4.2f-%4.2f; %4.1f < b < %4.1f fm", | |
1284 | xsecFrLow,xsecFrUp,bLow,bUp); | |
1285 | fgWSbinary->SetRange(bLow,bUp); | |
1286 | fBmin=bLow; | |
1287 | fBmax=bUp; | |
1288 | return; | |
1289 | } | |
1290 | ||
1291 | void AliFastGlauber::GetRandomBHard(Double_t& b) | |
1292 | { | |
1293 | // | |
1294 | // Get random impact parameter according to distribution of | |
1295 | // hard (binary) cross-section, in the range defined by the centrality class | |
1296 | // | |
1297 | b = fgWSbinary->GetRandom(); | |
1298 | Int_t bin = 2*(Int_t)b; | |
1299 | if( (b-(Int_t)b) > 0.5) bin++; | |
1300 | fgWAlmondCurrent = fgWAlmondFixedB[bin]; | |
1301 | return; | |
1302 | } | |
1303 | ||
1304 | void AliFastGlauber::GetRandomXY(Double_t& x,Double_t& y) | |
1305 | { | |
1306 | // | |
1307 | // Get random position of parton production point according to | |
1308 | // product of thickness functions | |
1309 | // | |
1310 | fgWAlmondCurrent->GetRandom2(x,y); | |
1311 | return; | |
1312 | } | |
1313 | ||
1314 | void AliFastGlauber::GetRandomPhi(Double_t& phi) | |
1315 | { | |
1316 | // | |
1317 | // Get random parton azimuthal propagation direction | |
1318 | // | |
1319 | phi = 2.*TMath::Pi()*gRandom->Rndm(); | |
1320 | return; | |
1321 | } | |
1322 | ||
1323 | Double_t AliFastGlauber::CalculateLength(Double_t b,Double_t x0,Double_t y0,Double_t phi0) | |
1324 | { | |
1325 | // | |
1326 | // Calculate path length for a parton with production point (x0,y0) | |
1327 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1328 | // in a collision with impact parameter b | |
1329 | // | |
1330 | ||
1331 | // number of steps in l | |
1332 | const Int_t kNp = 100; | |
1333 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1334 | ||
1335 | if(fEllDef==1) { | |
1336 | // | |
1337 | // Definition 1: | |
1338 | // | |
1339 | // ell = 2 * \int_0^\infty dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) / | |
1340 | // \int_0^\infty dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1341 | // | |
1342 | ||
1343 | // Initial radius | |
1344 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
1345 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1346 | Double_t l = 0.; | |
1347 | Double_t integral1 = 0.; | |
1348 | Double_t integral2 = 0.; | |
1349 | // Radial steps | |
1350 | for (Int_t i = 0; i < knps; i++) { | |
1351 | ||
1352 | // Transform into target frame | |
1353 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1354 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1355 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1356 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1357 | // Radius in projectile frame | |
1358 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1359 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1360 | ||
1361 | integral1 += kprodTATB * l * kDl; | |
1362 | integral2 += kprodTATB * kDl; | |
1363 | l += kDl; | |
1364 | } // steps | |
1365 | ||
1366 | Double_t ell=0.; | |
1367 | if(integral2) | |
1368 | ell = (2. * integral1 / integral2); | |
1369 | return ell; | |
1370 | } else if(fEllDef==2) { | |
1371 | // | |
1372 | // Definition 2: | |
1373 | // | |
1374 | // ell = \int_0^\infty dl* | |
1375 | // \Theta((T_A*T_B)(x0+l*ux,y0+l*uy)-0.5*(T_A*T_B)(0,0)) | |
1376 | // | |
1377 | ||
1378 | // Initial radius | |
1379 | const Double_t kr0 = TMath::Sqrt(x0*x0 + y0*y0); | |
1380 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1381 | const Double_t kprodTATBHalfMax = 0.5*fgWAlmondCurrent->Eval(0.,0.); | |
1382 | // Radial steps | |
1383 | Double_t l = 0.; | |
1384 | Double_t integral = 0.; | |
1385 | for (Int_t i = 0; i < knps; i++) { | |
1386 | // Transform into target frame | |
1387 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1388 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1389 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1390 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1391 | // Radius in projectile frame | |
1392 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1393 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1394 | if(kprodTATB>kprodTATBHalfMax) integral += kDl; | |
1395 | l += kDl; | |
1396 | } // steps | |
1397 | Double_t ell = integral; | |
1398 | return ell; | |
1399 | } else { | |
1400 | Error("CalculateLength","Wrong length definition setting: %d !\n",fEllDef); | |
1401 | return -1.; | |
1402 | } | |
1403 | } | |
1404 | ||
1405 | void AliFastGlauber::GetLengthAndPhi(Double_t& ell,Double_t& phi,Double_t b) | |
1406 | { | |
1407 | // | |
1408 | // Return length from random b, x0, y0, phi0 | |
1409 | // Return also phi0 | |
1410 | // | |
1411 | Double_t x0,y0,phi0; | |
1412 | if(b<0.) GetRandomBHard(b); | |
1413 | GetRandomXY(x0,y0); | |
1414 | GetRandomPhi(phi0); | |
1415 | phi = phi0; | |
1416 | ell = CalculateLength(b,x0,y0,phi0); | |
1417 | return; | |
1418 | } | |
1419 | ||
1420 | void AliFastGlauber::GetLength(Double_t& ell,Double_t b) | |
1421 | { | |
1422 | // | |
1423 | // Return length from random b, x0, y0, phi0 | |
1424 | // | |
1425 | Double_t phi; | |
1426 | GetLengthAndPhi(ell,phi,b); | |
1427 | return; | |
1428 | } | |
1429 | ||
1430 | void AliFastGlauber::GetLengthsBackToBackAndPhi(Double_t& ell1,Double_t& ell2,Double_t &phi,Double_t b) | |
1431 | { | |
1432 | // | |
1433 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1434 | // Return also phi0 | |
1435 | // | |
1436 | Double_t x0,y0,phi0; | |
1437 | if(b<0.) GetRandomBHard(b); | |
1438 | GetRandomXY(x0,y0); | |
1439 | GetRandomPhi(phi0); | |
1440 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1441 | phi = phi0; | |
1442 | ell1 = CalculateLength(b,x0,y0,phi0); | |
1443 | ell2 = CalculateLength(b,x0,y0,kphi0plusPi); | |
1444 | return; | |
1445 | } | |
1446 | ||
1447 | void AliFastGlauber::GetLengthsBackToBack(Double_t& ell1,Double_t& ell2, | |
1448 | Double_t b) | |
1449 | { | |
1450 | // | |
1451 | // Return 2 lengths back to back from random b, x0, y0, phi0 | |
1452 | // | |
1453 | Double_t phi; | |
1454 | GetLengthsBackToBackAndPhi(ell1,ell2,phi,b); | |
1455 | return; | |
1456 | } | |
1457 | ||
1458 | void AliFastGlauber::GetLengthsForPythia(Int_t n,Double_t* phi,Double_t* ell, Double_t b) | |
1459 | { | |
1460 | // | |
1461 | // Returns lenghts for n partons with azimuthal angles phi[n] | |
1462 | // from random b, x0, y0 | |
1463 | // | |
1464 | Double_t x0, y0; | |
1465 | if(b < 0.) GetRandomBHard(b); | |
1466 | GetRandomXY(x0,y0); | |
1467 | for(Int_t i = 0; i< n; i++) ell[i] = CalculateLength(b,x0,y0,phi[i]); | |
1468 | return; | |
1469 | } | |
1470 | ||
1471 | void AliFastGlauber::PlotBDistr(Int_t n) | |
1472 | { | |
1473 | // | |
1474 | // Plot distribution of n impact parameters | |
1475 | // | |
1476 | Double_t b; | |
1477 | TH1F *hB = new TH1F("hB","dN/db",100,0,fgBMax); | |
1478 | hB->SetXTitle("b [fm]"); | |
1479 | hB->SetYTitle("dN/db [a.u.]"); | |
1480 | hB->SetFillColor(3); | |
1481 | for(Int_t i=0; i<n; i++) { | |
1482 | GetRandomBHard(b); | |
1483 | hB->Fill(b); | |
1484 | } | |
1485 | TCanvas *cB = new TCanvas("cB","Impact parameter distribution",0,0,500,500); | |
1486 | cB->cd(); | |
1487 | hB->Draw(); | |
1488 | return; | |
1489 | } | |
1490 | ||
1491 | void AliFastGlauber::PlotLengthDistr(Int_t n,Bool_t save,const char *fname) | |
1492 | { | |
1493 | // | |
1494 | // Plot length distribution | |
1495 | // | |
1496 | Double_t ell; | |
1497 | TH1F *hEll = new TH1F("hEll","Length distribution",64,-0.5,15); | |
1498 | hEll->SetXTitle("Transverse path length, L [fm]"); | |
1499 | hEll->SetYTitle("Probability"); | |
1500 | hEll->SetFillColor(2); | |
1501 | for(Int_t i=0; i<n; i++) { | |
1502 | GetLength(ell); | |
1503 | hEll->Fill(ell); | |
1504 | } | |
1505 | hEll->Scale(1/(Double_t)n); | |
1506 | TCanvas *cL = new TCanvas("cL","Length distribution",0,0,500,500); | |
1507 | cL->cd(); | |
1508 | hEll->Draw(); | |
1509 | ||
1510 | if(save) { | |
1511 | TFile *f = new TFile(fname,"recreate"); | |
1512 | hEll->Write(); | |
1513 | f->Close(); | |
1514 | } | |
1515 | return; | |
1516 | } | |
1517 | ||
1518 | void AliFastGlauber::PlotLengthB2BDistr(Int_t n,Bool_t save,const char *fname) | |
1519 | { | |
1520 | // | |
1521 | // Plot lengths back-to-back distributions | |
1522 | // | |
1523 | Double_t ell1,ell2; | |
1524 | TH2F *hElls = new TH2F("hElls","Lengths back-to-back",100,0,15,100,0,15); | |
1525 | hElls->SetXTitle("Transverse path length, L [fm]"); | |
1526 | hElls->SetYTitle("Transverse path length, L [fm]"); | |
1527 | for(Int_t i=0; i<n; i++) { | |
1528 | GetLengthsBackToBack(ell1,ell2); | |
1529 | hElls->Fill(ell1,ell2); | |
1530 | } | |
1531 | hElls->Scale(1/(Double_t)n); | |
1532 | TCanvas *cLs = new TCanvas("cLs","Length back-to-back distribution",0,0,500,500); | |
1533 | gStyle->SetPalette(1,0); | |
1534 | cLs->cd(); | |
1535 | hElls->Draw("col,Z"); | |
1536 | if(save) { | |
1537 | TFile *f = new TFile(fname,"recreate"); | |
1538 | hElls->Write(); | |
1539 | f->Close(); | |
1540 | } | |
1541 | return; | |
1542 | } | |
1543 | ||
1544 | void AliFastGlauber::PlotAlmonds() const | |
1545 | { | |
1546 | // | |
1547 | // Plot almonds for some impact parameters | |
1548 | // | |
1549 | TCanvas *c = new TCanvas("c","Almonds",0,0,500,500); | |
1550 | gStyle->SetPalette(1,0); | |
1551 | c->Divide(2,2); | |
1552 | c->cd(1); | |
1553 | fgWAlmondFixedB[0]->Draw("cont1"); | |
1554 | c->cd(2); | |
1555 | fgWAlmondFixedB[10]->Draw("cont1"); | |
1556 | c->cd(3); | |
1557 | fgWAlmondFixedB[20]->Draw("cont1"); | |
1558 | c->cd(4); | |
1559 | fgWAlmondFixedB[30]->Draw("cont1"); | |
1560 | return; | |
1561 | } | |
1562 | ||
1563 | //=================== Added by A. Dainese 05/03/04 =========================== | |
1564 | ||
1565 | void AliFastGlauber::CalculateI0I1(Double_t& integral0,Double_t& integral1, | |
1566 | Double_t b,Double_t x0,Double_t y0, | |
1567 | Double_t phi0,Double_t ellCut) const | |
1568 | { | |
1569 | // | |
1570 | // Calculate integrals: | |
1571 | // integral0 = \int_0^ellCut dl*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1572 | // integral1 = \int_0^ellCut dl*l*(T_A*T_B)(x0+l*ux,y0+l*uy) | |
1573 | // | |
1574 | // for a parton with production point (x0,y0) | |
1575 | // and propagation direction (ux=cos(phi0),uy=sin(phi0)) | |
1576 | // in a collision with impact parameter b | |
1577 | // | |
1578 | ||
1579 | // number of steps in l | |
1580 | const Int_t kNp = 100; | |
1581 | const Double_t kDl = fgBMax/Double_t(kNp); | |
1582 | ||
1583 | // Initial radius | |
1584 | const Double_t kr0 = TMath::Sqrt(x0 * x0 + y0 * y0); | |
1585 | const Int_t knps = Int_t ((fgBMax - kr0)/kDl) - 1; | |
1586 | ||
1587 | // Radial steps | |
1588 | Double_t l = 0.; | |
1589 | integral0 = 0.; | |
1590 | integral1 = 0.; | |
1591 | Int_t i = 0; | |
1592 | while((i < knps) && (l < ellCut)) { | |
1593 | // Transform into target frame | |
1594 | const Double_t kxx = x0 + l * TMath::Cos(phi0) + b / 2.; | |
1595 | const Double_t kyy = y0 + l * TMath::Sin(phi0); | |
1596 | const Double_t kphi = TMath::ATan2(kyy, kxx); | |
1597 | const Double_t kr1 = TMath::Sqrt(kxx*kxx + kyy*kyy); | |
1598 | // Radius in projectile frame | |
1599 | const Double_t kr2 = TMath::Sqrt(kr1*kr1 + b*b - 2.*kr1*b*TMath::Cos(kphi)); | |
1600 | const Double_t kprodTATB = fgWSta->Eval(kr1) * fgWSta->Eval(kr2); | |
1601 | integral0 += kprodTATB * kDl; | |
1602 | integral1 += kprodTATB * l * kDl; | |
1603 | l += kDl; | |
1604 | i++; | |
1605 | } // steps | |
1606 | return; | |
1607 | } | |
1608 | ||
1609 | void AliFastGlauber::GetI0I1AndPhi(Double_t& integral0,Double_t& integral1, | |
1610 | Double_t& phi, | |
1611 | Double_t ellCut,Double_t b) | |
1612 | { | |
1613 | // | |
1614 | // Return I0 and I1 from random b, x0, y0, phi0 | |
1615 | // Return also phi | |
1616 | // | |
1617 | Double_t x0,y0,phi0; | |
1618 | if(b<0.) GetRandomBHard(b); | |
1619 | GetRandomXY(x0,y0); | |
1620 | GetRandomPhi(phi0); | |
1621 | phi = phi0; | |
1622 | CalculateI0I1(integral0,integral1,b,x0,y0,phi0,ellCut); | |
1623 | return; | |
1624 | } | |
1625 | ||
1626 | void AliFastGlauber::GetI0I1(Double_t& integral0,Double_t& integral1, | |
1627 | Double_t ellCut,Double_t b) | |
1628 | { | |
1629 | // | |
1630 | // Return I0 and I1 from random b, x0, y0, phi0 | |
1631 | // | |
1632 | Double_t phi; | |
1633 | GetI0I1AndPhi(integral0,integral1,phi,ellCut,b); | |
1634 | return; | |
1635 | } | |
1636 | ||
1637 | void AliFastGlauber::GetI0I1BackToBackAndPhi(Double_t& integral01,Double_t& integral11, | |
1638 | Double_t& integral02,Double_t& integral12, | |
1639 | Double_t& phi, | |
1640 | Double_t ellCut,Double_t b) | |
1641 | { | |
1642 | // | |
1643 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1644 | // Return also phi0 | |
1645 | // | |
1646 | Double_t x0,y0,phi0; | |
1647 | if(b<0.) GetRandomBHard(b); | |
1648 | GetRandomXY(x0,y0); | |
1649 | GetRandomPhi(phi0); | |
1650 | phi = phi0; | |
1651 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1652 | CalculateI0I1(integral01,integral11,b,x0,y0,phi0,ellCut); | |
1653 | CalculateI0I1(integral02,integral12,b,x0,y0,kphi0plusPi,ellCut); | |
1654 | return; | |
1655 | } | |
1656 | ||
1657 | void AliFastGlauber::GetI0I1BackToBackAndPhiAndXY(Double_t& integral01,Double_t& integral11, | |
1658 | Double_t& integral02,Double_t& integral12, | |
1659 | Double_t& phi,Double_t &x,Double_t &y, | |
1660 | Double_t ellCut,Double_t b) | |
1661 | { | |
1662 | // | |
1663 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1664 | // Return also phi0 | |
1665 | // | |
1666 | Double_t x0,y0,phi0; | |
1667 | if(b<0.) GetRandomBHard(b); | |
1668 | GetRandomXY(x0,y0); | |
1669 | GetRandomPhi(phi0); | |
1670 | phi = phi0; x=x0; y=y0; | |
1671 | const Double_t kphi0plusPi = phi0+TMath::Pi(); | |
1672 | CalculateI0I1(integral01,integral11,b,x0,y0,phi0,ellCut); | |
1673 | CalculateI0I1(integral02,integral12,b,x0,y0,kphi0plusPi,ellCut); | |
1674 | return; | |
1675 | } | |
1676 | ||
1677 | void AliFastGlauber::GetI0I1BackToBack(Double_t& integral01,Double_t& integral11, | |
1678 | Double_t& integral02,Double_t& integral12, | |
1679 | Double_t ellCut,Double_t b) | |
1680 | { | |
1681 | // | |
1682 | // Return 2 pairs of I0 and I1 back to back from random b, x0, y0, phi0 | |
1683 | // | |
1684 | Double_t phi; | |
1685 | GetI0I1BackToBackAndPhi(integral01,integral11,integral02,integral12, | |
1686 | phi,ellCut,b); | |
1687 | return; | |
1688 | } | |
1689 | ||
1690 | void AliFastGlauber::GetI0I1ForPythia(Int_t n,Double_t* phi, | |
1691 | Double_t* integral0,Double_t* integral1, | |
1692 | Double_t ellCut,Double_t b) | |
1693 | { | |
1694 | // | |
1695 | // Returns I0 and I1 pairs for n partons with azimuthal angles phi[n] | |
1696 | // from random b, x0, y0 | |
1697 | // | |
1698 | Double_t x0,y0; | |
1699 | if(b<0.) GetRandomBHard(b); | |
1700 | GetRandomXY(x0,y0); | |
1701 | for(Int_t i=0; i<n; i++) | |
1702 | CalculateI0I1(integral0[i],integral1[i],b,x0,y0,phi[i],ellCut); | |
1703 | return; | |
1704 | } | |
1705 | ||
1706 | void AliFastGlauber::GetI0I1ForPythiaAndXY(Int_t n,Double_t* phi, | |
1707 | Double_t* integral0,Double_t* integral1, | |
1708 | Double_t &x,Double_t& y, | |
1709 | Double_t ellCut,Double_t b) | |
1710 | { | |
1711 | // | |
1712 | // Returns I0 and I1 pairs for n partons with azimuthal angles phi[n] | |
1713 | // from random b, x0, y0 and return x0,y0 | |
1714 | // | |
1715 | Double_t x0,y0; | |
1716 | if(b<0.) GetRandomBHard(b); | |
1717 | GetRandomXY(x0,y0); | |
1718 | for(Int_t i=0; i<n; i++) | |
1719 | CalculateI0I1(integral0[i],integral1[i],b,x0,y0,phi[i],ellCut); | |
1720 | x=x0; | |
1721 | y=y0; | |
1722 | return; | |
1723 | } | |
1724 | ||
1725 | void AliFastGlauber::PlotI0I1Distr(Int_t n,Double_t ellCut, | |
1726 | Bool_t save,const char *fname) | |
1727 | { | |
1728 | // | |
1729 | // Plot I0-I1 distribution | |
1730 | // | |
1731 | Double_t i0,i1; | |
1732 | TH2F *hI0I1s = new TH2F("hI0I1s","I_{0} versus I_{1}",1000,0,0.001,1000,0,0.01); | |
1733 | hI0I1s->SetXTitle("I_{0} [fm^{-3}]"); | |
1734 | hI0I1s->SetYTitle("I_{1} [fm^{-2}]"); | |
1735 | ||
1736 | TH1F *hI0 = new TH1F("hI0","I_{0} = #hat{q}L / k", | |
1737 | 1000,0,0.001); | |
1738 | hI0->SetXTitle("I_{0} [fm^{-3}]"); | |
1739 | hI0->SetYTitle("Probability"); | |
1740 | hI0->SetFillColor(3); | |
1741 | TH1F *hI1 = new TH1F("hI1","I_{1} = #omega_{c} / k", | |
1742 | 1000,0,0.01); | |
1743 | hI1->SetXTitle("I_{1} [fm^{-2}]"); | |
1744 | hI1->SetYTitle("Probability"); | |
1745 | hI1->SetFillColor(4); | |
1746 | TH1F *h2 = new TH1F("h2","2 I_{1}^{2}/I_{0} = R / k", | |
1747 | 100,0,0.02); | |
1748 | h2->SetXTitle("2 I_{1}^{2}/I_{0} [fm^{-1}]"); | |
1749 | h2->SetYTitle("Probability"); | |
1750 | h2->SetFillColor(2); | |
1751 | TH1F *h3 = new TH1F("h3","2 I_{1}/I_{0} = L", | |
1752 | 100,0,15); | |
1753 | h3->SetXTitle("2 I_{1}/I_{0} [fm]"); | |
1754 | h3->SetYTitle("Probability"); | |
1755 | h3->SetFillColor(5); | |
1756 | TH1F *h4 = new TH1F("h4","I_{0}^{2}/(2 I_{1}) = #hat{q} / k", | |
1757 | 100,0,0.00015); | |
1758 | h4->SetXTitle("I_{0}^{2}/(2 I_{1}) [fm^{-4}]"); | |
1759 | h4->SetYTitle("Probability"); | |
1760 | h4->SetFillColor(7); | |
1761 | ||
1762 | for(Int_t i=0; i<n; i++) { | |
1763 | GetI0I1(i0,i1,ellCut); | |
1764 | hI0I1s->Fill(i0,i1); | |
1765 | hI0->Fill(i0); | |
1766 | hI1->Fill(i1); | |
1767 | h2->Fill(2.*i1*i1/i0); | |
1768 | h3->Fill(2.*i1/i0); | |
1769 | h4->Fill(i0*i0/2./i1); | |
1770 | } | |
1771 | hI0->Scale(1/(Double_t)n); | |
1772 | hI1->Scale(1/(Double_t)n); | |
1773 | h2->Scale(1/(Double_t)n); | |
1774 | h3->Scale(1/(Double_t)n); | |
1775 | h4->Scale(1/(Double_t)n); | |
1776 | hI0I1s->Scale(1/(Double_t)n); | |
1777 | ||
1778 | TCanvas *cI0I1 = new TCanvas("cI0I1","I0 and I1",0,0,900,700); | |
1779 | cI0I1->Divide(3,2); | |
1780 | cI0I1->cd(1); | |
1781 | hI0->Draw(); | |
1782 | cI0I1->cd(2); | |
1783 | hI1->Draw(); | |
1784 | cI0I1->cd(3); | |
1785 | h2->Draw(); | |
1786 | cI0I1->cd(4); | |
1787 | h3->Draw(); | |
1788 | cI0I1->cd(5); | |
1789 | h4->Draw(); | |
1790 | cI0I1->cd(6); | |
1791 | gStyle->SetPalette(1,0); | |
1792 | hI0I1s->Draw("col,Z"); | |
1793 | ||
1794 | if(save) { | |
1795 | TFile *f = new TFile(fname,"recreate"); | |
1796 | hI0I1s->Write(); | |
1797 | hI0->Write(); | |
1798 | hI1->Write(); | |
1799 | h2->Write(); | |
1800 | h3->Write(); | |
1801 | h4->Write(); | |
1802 | f->Close(); | |
1803 | } | |
1804 | return; | |
1805 | } | |
1806 | ||
1807 | void AliFastGlauber::PlotI0I1B2BDistr(Int_t n,Double_t ellCut, | |
1808 | Bool_t save,const char *fname) | |
1809 | { | |
1810 | // | |
1811 | // Plot I0-I1 back-to-back distributions | |
1812 | // | |
1813 | Double_t i01,i11,i02,i12; | |
1814 | TH2F *hI0s = new TH2F("hI0s","I_{0}'s back-to-back",100,0,100,100,0,100); | |
1815 | hI0s->SetXTitle("I_{0} [fm^{-3}]"); | |
1816 | hI0s->SetYTitle("I_{0} [fm^{-3}]"); | |
1817 | TH2F *hI1s = new TH2F("hI1s","I_{1}'s back-to-back",100,0,100,100,0,100); | |
1818 | hI1s->SetXTitle("I_{1} [fm^{-2}]"); | |
1819 | hI1s->SetYTitle("I_{1} [fm^{-2}]"); | |
1820 | ||
1821 | for(Int_t i=0; i<n; i++) { | |
1822 | GetI0I1BackToBack(i01,i11,i02,i12,ellCut); | |
1823 | hI0s->Fill(i01,i02); | |
1824 | hI1s->Fill(i11,i12); | |
1825 | } | |
1826 | hI0s->Scale(1/(Double_t)n); | |
1827 | hI1s->Scale(1/(Double_t)n); | |
1828 | ||
1829 | TCanvas *cI0I1s = new TCanvas("cI0I1s","I0 and I1 back-to-back distributions",0,0,800,400); | |
1830 | gStyle->SetPalette(1,0); | |
1831 | cI0I1s->Divide(2,1); | |
1832 | cI0I1s->cd(1); | |
1833 | hI0s->Draw("col,Z"); | |
1834 | cI0I1s->cd(2); | |
1835 | hI1s->Draw("col,Z"); | |
1836 | ||
1837 | if(save) { | |
1838 | TFile *f = new TFile(fname,"recreate"); | |
1839 | hI0s->Write(); | |
1840 | hI1s->Write(); | |
1841 | f->Close(); | |
1842 | } | |
1843 | return; | |
1844 | } | |
1845 | ||
1846 | AliFastGlauber& AliFastGlauber::operator=(const AliFastGlauber& rhs) | |
1847 | { | |
1848 | // Assignment operator | |
1849 | rhs.Copy(*this); | |
1850 | return *this; | |
1851 | } | |
1852 | ||
1853 | void AliFastGlauber::Copy(TObject&) const | |
1854 | { | |
1855 | // | |
1856 | // Copy | |
1857 | // | |
1858 | Fatal("Copy","Not implemented!\n"); | |
1859 | } | |
1860 |