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5b3a5a5d | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
88cb7938 | 16 | /* $Id$ */ |
5b3a5a5d | 17 | |
18 | // from AliRoot | |
19 | #include "AliFastGlauber.h" | |
20 | // from root | |
21 | #include <TH1F.h> | |
22 | #include <TF1.h> | |
23 | #include <TF2.h> | |
24 | #include <TCanvas.h> | |
25 | #include <TRandom.h> | |
26 | #include <TFile.h> | |
27 | ||
28 | ClassImp(AliFastGlauber) | |
29 | ||
2a103154 | 30 | TF1* AliFastGlauber::fWSb = NULL; |
31 | TF2* AliFastGlauber::fWSbz = NULL; | |
32 | TF1* AliFastGlauber::fWSz = NULL; | |
33 | TF1* AliFastGlauber::fWSta = NULL; | |
34 | TF2* AliFastGlauber::fWStarfi = NULL; | |
35 | TF2* AliFastGlauber::fWAlmond = NULL; | |
36 | TF1* AliFastGlauber::fWStaa = NULL; | |
37 | TF1* AliFastGlauber::fWSgeo = NULL; | |
38 | TF1* AliFastGlauber::fWSbinary = NULL; | |
39 | TF1* AliFastGlauber::fWSN = NULL; | |
40 | TF1* AliFastGlauber::fWPathLength0 = NULL; | |
41 | TF1* AliFastGlauber::fWPathLength = NULL; | |
42 | TF1* AliFastGlauber::fWEnergyDensity = NULL; | |
43 | TF1* AliFastGlauber::fWIntRadius = NULL; | |
44 | Float_t AliFastGlauber::fbMax = 0.; | |
5b3a5a5d | 45 | |
46 | AliFastGlauber::AliFastGlauber() | |
47 | { | |
48 | // Default Constructor | |
49 | // | |
50 | // Defaults for Pb | |
51 | SetWoodSaxonParameters(6.624, 0.549, 0.00, 7.69e-4); | |
52 | SetHardCrossSection(); | |
53 | SetMaxImpact(); | |
54 | } | |
55 | ||
56 | void AliFastGlauber::Init(Int_t mode) | |
57 | { | |
58 | // Initialisation | |
59 | // | |
60 | // Wood-Saxon | |
61 | // | |
62 | fWSb = new TF1("WSb", WSb, 0, fbMax, 4); | |
63 | fWSb->SetParameter(0, fWSr0); | |
64 | fWSb->SetParameter(1, fWSd); | |
65 | fWSb->SetParameter(2, fWSw); | |
66 | fWSb->SetParameter(3, fWSn); | |
67 | ||
68 | fWSbz = new TF2("WSbz", WSbz, 0, fbMax, 4); | |
69 | fWSbz->SetParameter(0, fWSr0); | |
70 | fWSbz->SetParameter(1, fWSd); | |
71 | fWSbz->SetParameter(2, fWSw); | |
72 | fWSbz->SetParameter(3, fWSn); | |
73 | ||
74 | fWSz = new TF1("WSz", WSz, 0, fbMax, 5); | |
75 | fWSz->SetParameter(0, fWSr0); | |
76 | fWSz->SetParameter(1, fWSd); | |
77 | fWSz->SetParameter(2, fWSw); | |
78 | fWSz->SetParameter(3, fWSn); | |
79 | ||
80 | // | |
81 | // Thickness | |
82 | // | |
83 | fWSta = new TF1("WSta", WSta, 0., fbMax, 0); | |
84 | ||
85 | // | |
86 | // Overlap Kernel | |
87 | // | |
88 | fWStarfi = new TF2("WStarfi", WStarfi, 0., fbMax, 0., TMath::Pi(), 1); | |
89 | fWStarfi->SetParameter(0, 0.); | |
90 | fWStarfi->SetNpx(200); | |
91 | fWStarfi->SetNpy(20); | |
92 | // | |
f3a04204 | 93 | // Almond shaped interaction region |
94 | // | |
95 | fWAlmond = new TF2("WAlmond", WAlmond, -fbMax, fbMax, -fbMax, fbMax, 1); | |
96 | fWAlmond->SetParameter(0, 0.); | |
97 | fWAlmond->SetNpx(200); | |
98 | fWAlmond->SetNpy(200); | |
99 | // | |
100 | // Path Length as a function of Phi | |
101 | // | |
8de7e046 | 102 | fWPathLength0 = new TF1("WPathLength0", WPathLength0, -TMath::Pi(), TMath::Pi(), 2); |
103 | fWPathLength0->SetParameter(0, 0.); | |
104 | // Pathlength definition | |
105 | fWPathLength0->SetParameter(1, 0.); | |
106 | ||
107 | fWPathLength = new TF1("WPathLength", WPathLength, -TMath::Pi(), TMath::Pi(), 3); | |
f3a04204 | 108 | // Impact Parameter |
109 | fWPathLength->SetParameter(0, 0.); | |
110 | // Number of interactions used for average | |
111 | fWPathLength->SetParameter(1, 1000.); | |
8de7e046 | 112 | // Pathlength definition |
113 | fWPathLength->SetParameter(2, 0); | |
f3a04204 | 114 | |
115 | fWIntRadius = new TF1("WIntRadius", WIntRadius, 0., fbMax, 1); | |
2a103154 | 116 | fWIntRadius->SetParameter(0, 0.); |
117 | ||
118 | ||
f3a04204 | 119 | // |
5b3a5a5d | 120 | // Overlap |
121 | // | |
122 | if (! mode) { | |
123 | fWStaa = new TF1("WStaa", WStaa, 0., fbMax, 0); | |
124 | fWStaa->SetNpx(100); | |
125 | } else { | |
126 | TFile* f = new TFile("$(ALICE_ROOT)/FASTSIM/data/glauberPbPb.root"); | |
127 | fWStaa = (TF1*) f->Get("WStaa"); | |
128 | } | |
129 | ||
2a103154 | 130 | // |
131 | fWEnergyDensity = new TF1("WEnergyDensity", WEnergyDensity, 0., 2. * fWSr0, 1); | |
132 | fWEnergyDensity->SetParameter(0, fWSr0 + 1.); | |
133 | ||
5b3a5a5d | 134 | // |
135 | // Geometrical Cross-Section | |
136 | // | |
137 | fWSgeo = new TF1("WSgeo", WSgeo, 0., fbMax, 0); | |
138 | fWSgeo->SetNpx(100); | |
139 | // | |
140 | // Hard cross section (~ binary collisions) | |
141 | // | |
142 | fWSbinary = new TF1("WSbinary", WSbinary, 0., fbMax, 1); | |
143 | fWSbinary->SetParameter(0, fSigmaHard); // mb | |
144 | fWSbinary->SetNpx(100); | |
145 | // | |
146 | // Hard collisions per event | |
147 | // | |
148 | fWSN = new TF1("WSN", WSN, 0., fbMax, 1); | |
149 | fWSN->SetNpx(100); | |
150 | } | |
151 | ||
152 | void AliFastGlauber::DrawWSb() | |
153 | { | |
154 | // | |
155 | // Draw Wood-Saxon Nuclear Density Function | |
156 | // | |
157 | TCanvas *c1 = new TCanvas("c1","Wood Saxon",400,10,600,700); | |
158 | c1->cd(); | |
159 | fWSb->Draw(); | |
160 | } | |
161 | ||
162 | void AliFastGlauber::DrawOverlap() | |
163 | { | |
164 | // | |
165 | // Draw Overlap Function | |
166 | // | |
167 | TCanvas *c2 = new TCanvas("c2","Overlap",400,10,600,700); | |
168 | c2->cd(); | |
169 | fWStaa->Draw(); | |
170 | } | |
171 | ||
172 | void AliFastGlauber::DrawThickness() | |
173 | { | |
174 | // | |
175 | // Draw Thickness Function | |
176 | // | |
177 | TCanvas *c3 = new TCanvas("c3","Thickness",400,10,600,700); | |
178 | c3->cd(); | |
179 | fWSta->Draw(); | |
180 | } | |
181 | ||
182 | void AliFastGlauber::DrawGeo() | |
183 | { | |
184 | // | |
185 | // Draw Geometrical Cross-Section | |
186 | // | |
187 | TCanvas *c3 = new TCanvas("c3","Geometrical Cross-Section",400,10,600,700); | |
188 | c3->cd(); | |
189 | fWSgeo->Draw(); | |
190 | } | |
191 | ||
192 | void AliFastGlauber::DrawBinary() | |
193 | { | |
194 | // | |
195 | // Draw Wood-Saxon Nuclear Density Function | |
196 | // | |
197 | TCanvas *c4 = new TCanvas("c4","Binary Cross-Section",400,10,600,700); | |
198 | c4->cd(); | |
199 | fWSbinary->Draw(); | |
200 | } | |
201 | ||
202 | void AliFastGlauber::DrawN() | |
203 | { | |
204 | // | |
205 | // Draw Binaries per event | |
206 | // | |
207 | TCanvas *c5 = new TCanvas("c5","Binaries per event",400,10,600,700); | |
208 | c5->cd(); | |
209 | fWSN->Draw(); | |
210 | } | |
211 | ||
f3a04204 | 212 | void AliFastGlauber::DrawKernel(Double_t b) |
5b3a5a5d | 213 | { |
214 | // | |
215 | // Draw Kernel | |
216 | // | |
217 | TCanvas *c6 = new TCanvas("c6","Kernel",400,10,600,700); | |
218 | c6->cd(); | |
f3a04204 | 219 | fWStarfi->SetParameter(0, b); |
5b3a5a5d | 220 | fWStarfi->Draw(); |
221 | } | |
222 | ||
f3a04204 | 223 | void AliFastGlauber::DrawAlmond(Double_t b) |
224 | { | |
225 | // | |
2a103154 | 226 | // Draw Interaction Almond |
f3a04204 | 227 | // |
228 | TCanvas *c7 = new TCanvas("c7","Almond",400,10,600,700); | |
229 | c7->cd(); | |
230 | fWAlmond->SetParameter(0, b); | |
231 | fWAlmond->Draw(); | |
232 | } | |
233 | ||
8de7e046 | 234 | void AliFastGlauber::DrawPathLength0(Double_t b, Int_t iopt) |
f3a04204 | 235 | { |
236 | // | |
2a103154 | 237 | // Draw Path Length |
f3a04204 | 238 | // |
239 | TCanvas *c8 = new TCanvas("c8","Path Length",400,10,600,700); | |
240 | c8->cd(); | |
241 | fWPathLength0->SetParameter(0, b); | |
8de7e046 | 242 | fWPathLength0->SetParameter(1, Double_t(iopt)); |
f3a04204 | 243 | fWPathLength0->SetMinimum(0.); |
244 | fWPathLength0->SetMaximum(10.); | |
245 | fWPathLength0->Draw(); | |
246 | } | |
247 | ||
8de7e046 | 248 | void AliFastGlauber::DrawPathLength(Double_t b , Int_t ni, Int_t iopt) |
f3a04204 | 249 | { |
250 | // | |
2a103154 | 251 | // Draw Path Length |
f3a04204 | 252 | // |
253 | TCanvas *c9 = new TCanvas("c9","Path Length",400,10,600,700); | |
254 | c9->cd(); | |
255 | fWAlmond->SetParameter(0, b); | |
256 | ||
257 | fWPathLength->SetParameter(0, b); | |
258 | fWPathLength->SetParameter(1, Double_t (ni)); | |
8de7e046 | 259 | fWPathLength->SetParameter(2, Double_t (iopt)); |
f3a04204 | 260 | fWPathLength->SetMinimum(0.); |
261 | fWPathLength->SetMaximum(10.); | |
262 | fWPathLength->Draw(); | |
263 | } | |
264 | ||
265 | void AliFastGlauber::DrawIntRadius(Double_t b) | |
266 | { | |
267 | // | |
2a103154 | 268 | // Draw Interaction Radius |
f3a04204 | 269 | // |
270 | TCanvas *c10 = new TCanvas("c10","Interaction Radius",400,10,600,700); | |
271 | c10->cd(); | |
272 | fWIntRadius->SetParameter(0, b); | |
273 | fWIntRadius->SetMinimum(0.); | |
274 | fWIntRadius->Draw(); | |
275 | } | |
276 | ||
2a103154 | 277 | void AliFastGlauber::DrawEnergyDensity() |
278 | { | |
279 | // | |
280 | // Draw energy density | |
281 | // | |
282 | TCanvas *c11 = new TCanvas("c11","Energy Density",400, 10, 600, 700); | |
283 | c11->cd(); | |
284 | fWEnergyDensity->SetMinimum(0.); | |
285 | fWEnergyDensity->Draw(); | |
286 | } | |
287 | ||
5b3a5a5d | 288 | Double_t AliFastGlauber::WSb(Double_t* x, Double_t* par) |
289 | { | |
290 | // | |
291 | // Woods-Saxon Parameterisation | |
292 | // as a function of radius | |
293 | // | |
294 | Double_t xx = x[0]; | |
295 | Double_t r0 = par[0]; | |
296 | Double_t d = par[1]; | |
297 | Double_t w = par[2]; | |
298 | Double_t n = par[3]; | |
299 | ||
300 | Double_t y = n * (1.+w*(xx/r0)*(xx/r0))/(1.+TMath::Exp((xx-r0)/d)); | |
2a103154 | 301 | |
5b3a5a5d | 302 | return y; |
303 | } | |
304 | ||
305 | Double_t AliFastGlauber::WSbz(Double_t* x, Double_t* par) | |
306 | { | |
307 | // | |
308 | // Wood Saxon Parameterisation | |
309 | // as a function of z and b | |
310 | // | |
311 | Double_t bb = x[0]; | |
312 | Double_t zz = x[1]; | |
313 | Double_t r0 = par[0]; | |
314 | Double_t d = par[1]; | |
315 | Double_t w = par[2]; | |
316 | Double_t n = par[3]; | |
317 | Double_t xx = TMath::Sqrt(bb*bb+zz*zz); | |
318 | Double_t y = n * (1.+w*(xx/r0)*(xx/r0))/(1.+TMath::Exp((xx-r0)/d)); | |
2a103154 | 319 | |
5b3a5a5d | 320 | return y; |
321 | } | |
322 | ||
323 | Double_t AliFastGlauber::WSz(Double_t* x, Double_t* par) | |
324 | { | |
325 | // | |
326 | // Wood Saxon Parameterisation | |
327 | // as a function of z for fixed b | |
328 | // | |
329 | Double_t bb = par[4]; | |
330 | Double_t zz = x[0]; | |
331 | Double_t r0 = par[0]; | |
332 | Double_t d = par[1]; | |
333 | Double_t w = par[2]; | |
334 | Double_t n = par[3]; | |
335 | Double_t xx = TMath::Sqrt(bb*bb+zz*zz); | |
336 | Double_t y = n * (1.+w*(xx/r0)*(xx/r0))/(1.+TMath::Exp((xx-r0)/d)); | |
2a103154 | 337 | |
5b3a5a5d | 338 | return y; |
339 | } | |
340 | ||
f86dad79 | 341 | Double_t AliFastGlauber::WSta(Double_t* x, Double_t* /*par*/) |
5b3a5a5d | 342 | { |
343 | // | |
344 | // Thickness function | |
345 | // | |
346 | Double_t b = x[0]; | |
347 | fWSz->SetParameter(4, b); | |
348 | Double_t y = 2. * fWSz->Integral(0., fbMax); | |
349 | return y; | |
350 | } | |
351 | ||
352 | ||
353 | ||
354 | Double_t AliFastGlauber::WStarfi(Double_t* x, Double_t* par) | |
355 | { | |
356 | // | |
357 | // Kernel for overlap function | |
358 | // | |
359 | Double_t b = par[0]; | |
360 | Double_t r1 = x[0]; | |
361 | Double_t phi = x[1]; | |
362 | Double_t r2 = TMath::Sqrt(r1 * r1 + b * b - 2. * r1 * b * TMath::Cos(phi)); | |
363 | Double_t y = r1 * fWSta->Eval(r1) * fWSta->Eval(r2); | |
364 | return y; | |
365 | } | |
366 | ||
367 | ||
f3a04204 | 368 | Double_t AliFastGlauber::WAlmond(Double_t* x, Double_t* par) |
369 | { | |
370 | // | |
371 | // Almond shaped interaction region | |
372 | // | |
373 | Double_t b = par[0]; | |
374 | Double_t xx = x[0] + b/2.; | |
375 | Double_t yy = x[1]; | |
376 | Double_t r1 = TMath::Sqrt(xx * xx + yy * yy); | |
377 | Double_t phi = TMath::ATan2(yy,xx); | |
378 | ||
379 | Double_t r2 = TMath::Sqrt(r1 * r1 + b * b - 2. * r1 * b * TMath::Cos(phi)); | |
380 | // | |
381 | // Interaction probability calculated as product of thicknesses | |
382 | // | |
383 | Double_t y = fWSta->Eval(r1) * fWSta->Eval(r2); | |
384 | return y; | |
385 | } | |
386 | ||
387 | Double_t AliFastGlauber::WIntRadius(Double_t* x, Double_t* par) | |
388 | { | |
389 | // | |
390 | // Average radius at which interaction takes place | |
391 | // | |
392 | // Radius in the Almond | |
393 | Double_t r = x[0]; | |
394 | // Impact parameter | |
395 | Double_t b = par[0]; | |
396 | fWAlmond->SetParameter(0, b); | |
397 | // Steps in phi | |
398 | Double_t dphi = 2. * TMath::Pi() / 100.; | |
399 | // Average over phi | |
400 | Double_t phi = 0.; | |
401 | Double_t y = 0.; | |
402 | ||
403 | for (Int_t i = 0; i < 100; i++) { | |
404 | Double_t xx = r * TMath::Cos(phi); | |
405 | Double_t yy = r * TMath::Sin(phi); | |
406 | y += fWAlmond->Eval(xx,yy); | |
407 | phi += dphi; | |
408 | } // phi loop | |
409 | // Result multiplied by Jacobian (2 pi r) | |
410 | return (2. * TMath::Pi() * y * r / 100.); | |
411 | } | |
412 | ||
413 | Double_t AliFastGlauber::WPathLength0(Double_t* x, Double_t* par) | |
414 | { | |
415 | // | |
416 | // Path Length as a function of phi for interaction point fixed at (0,0) | |
417 | // | |
418 | // | |
419 | // Steps in r | |
420 | const Int_t np = 100; | |
421 | const Double_t dr = fbMax/Double_t(np); | |
422 | // Impact parameter | |
423 | Double_t b = par[0]; | |
8de7e046 | 424 | // Path Length definition |
425 | Int_t iopt = Int_t(par[1]); | |
426 | ||
f3a04204 | 427 | // Phi direction in Almond |
428 | Double_t phi0 = x[0]; | |
429 | Double_t r = 0.; | |
430 | Double_t rw = 0.; | |
431 | Double_t w = 0.; | |
432 | // Step along radial direction phi | |
433 | for (Int_t i = 0; i < np; i++) { | |
434 | // | |
435 | // Transform into target frame | |
436 | // | |
437 | Double_t xx = r * TMath::Cos(phi0) + b / 2.; | |
438 | Double_t yy = r * TMath::Sin(phi0); | |
439 | Double_t phi = TMath::ATan2(yy, xx); | |
440 | ||
441 | Double_t r1 = TMath::Sqrt(xx * xx + yy * yy); | |
442 | // Radius in projectile frame | |
443 | Double_t r2 = TMath::Sqrt(r1 * r1 + b * b - 2. * r1 * b * TMath::Cos(phi)); | |
444 | Double_t y = fWSta->Eval(r1) * fWSta->Eval(r2); | |
445 | ||
446 | rw += y * r; | |
447 | w += y; | |
448 | r += dr; | |
449 | } // radial steps | |
450 | // | |
b6d0ed6b | 451 | // My length definition (is exact for hard disk) |
8de7e046 | 452 | if (!iopt) { |
453 | return (2. * rw / w); | |
454 | } else { | |
455 | return TMath::Sqrt(2. * rw * dr / fWSta->Eval(0.01) / fWSta->Eval(0.01)); | |
456 | } | |
f3a04204 | 457 | } |
458 | ||
459 | Double_t AliFastGlauber::WPathLength(Double_t* x, Double_t* par) | |
460 | { | |
461 | // | |
462 | // Path Length as a function of phi | |
463 | // Interaction point from random distribution | |
464 | // | |
465 | // | |
466 | // r-steps | |
467 | // | |
468 | const Int_t np = 100; | |
469 | const Double_t dr = fbMax/Double_t(np); | |
470 | // Number of interactions | |
471 | const Int_t npi = Int_t (par[1]); | |
472 | ||
473 | // | |
474 | // Impact parameter | |
475 | Double_t b = par[0]; | |
8de7e046 | 476 | // Path Length definition |
477 | Int_t iopt = Int_t(par[2]); | |
f3a04204 | 478 | // Phi direction |
479 | Double_t phi0 = x[0]; | |
480 | ||
481 | printf("phi0 %f \n", phi0); | |
482 | ||
483 | // Path length | |
484 | Double_t l = 0.; | |
485 | ||
486 | for (Int_t in = 0; in < npi; in ++) { | |
487 | Double_t rw = 0.; | |
488 | Double_t w = 0.; | |
489 | ||
490 | // Interaction point | |
491 | Double_t x0, y0; | |
492 | fWAlmond->GetRandom2(x0, y0); | |
493 | // Initial radius | |
494 | Double_t r0 = TMath::Sqrt(x0 * x0 + y0 * y0); | |
495 | Int_t nps = Int_t ((fbMax - r0)/dr) - 1; | |
496 | ||
497 | Double_t r = 0.; | |
498 | // Radial steps | |
499 | for (Int_t i = 0; (i < nps ); i++) { | |
500 | ||
501 | // Transform into target frame | |
502 | Double_t xx = x0 + r * TMath::Cos(phi0) + b / 2.; | |
503 | Double_t yy = y0 + r * TMath::Sin(phi0); | |
504 | Double_t phi = TMath::ATan2(yy, xx); | |
505 | Double_t r1 = TMath::Sqrt(xx * xx + yy * yy); | |
506 | // Radius in projectile frame | |
507 | Double_t r2 = TMath::Sqrt(r1 * r1 + b * b - 2. * r1 * b * TMath::Cos(phi)); | |
508 | Double_t y = fWSta->Eval(r1) * fWSta->Eval(r2); | |
509 | ||
510 | rw += y * r; | |
511 | w += y; | |
512 | r += dr; | |
513 | } // steps | |
514 | // Average over interactions | |
8de7e046 | 515 | if (!iopt) { |
516 | l += (2. * rw / w); | |
517 | } else { | |
9db56006 | 518 | l+= 2. * rw * dr / fWSta->Eval(0.01) / fWSta->Eval(0.01); |
8de7e046 | 519 | } |
f3a04204 | 520 | } // interactions |
9db56006 | 521 | if (!iopt) |
522 | return (l / Double_t(npi)); | |
523 | else | |
524 | return (TMath::Sqrt(l / Double_t(npi))); | |
f3a04204 | 525 | } |
526 | ||
f86dad79 | 527 | Double_t AliFastGlauber::WStaa(Double_t* x, Double_t* /*par*/) |
5b3a5a5d | 528 | { |
529 | // | |
530 | // Overlap function | |
531 | // | |
532 | Double_t b = x[0]; | |
533 | fWStarfi->SetParameter(0, b); | |
534 | /* | |
535 | Double_t al[2]; | |
536 | Double_t bl[2]; | |
537 | al[0] = 0.; | |
538 | al[1] = 0.; | |
539 | bl[0] = 6.6; | |
540 | bl[1] = TMath::Pi(); | |
541 | Double_t err; | |
542 | ||
543 | Double_t y = 2. * fWStarfi->IntegralMultiple(2, al, bl, 0.001, err); | |
544 | printf("WStaa: %f %f %f\n", b, y, err); | |
545 | */ | |
546 | // | |
547 | // MC Integration | |
548 | // | |
549 | Double_t y = 0; | |
550 | for (Int_t i = 0; i < 100000; i++) | |
551 | { | |
552 | Double_t phi = TMath::Pi() * gRandom->Rndm(); | |
553 | Double_t b1 = fbMax * gRandom->Rndm(); | |
554 | y += fWStarfi->Eval(b1, phi); | |
555 | } | |
556 | y *= 2. * 0.1 * 208. * 208. * TMath::Pi() * fbMax / 100000.; | |
557 | return y; | |
558 | } | |
559 | ||
f86dad79 | 560 | Double_t AliFastGlauber::WSgeo(Double_t* x, Double_t* /*par*/) |
5b3a5a5d | 561 | { |
562 | // | |
563 | // Geometrical Cross-Section | |
564 | // | |
565 | Double_t b = x[0]; | |
566 | Double_t taa = fWStaa->Eval(b); | |
567 | const Double_t sigma = 55.6; // mbarn | |
568 | ||
569 | Double_t y = 2. * TMath::Pi() * b * (1. - TMath::Exp(- sigma * taa)); // fm | |
570 | return y; | |
571 | } | |
572 | ||
573 | ||
574 | Double_t AliFastGlauber::WSbinary(Double_t* x, Double_t* par) | |
575 | { | |
576 | // | |
c2140715 | 577 | // Number of binary collisions |
5b3a5a5d | 578 | // |
579 | Double_t b = x[0]; | |
580 | Double_t sigma = par[0]; | |
581 | Double_t taa = fWStaa->Eval(b); | |
582 | ||
583 | Double_t y = 2. * TMath::Pi() * b * sigma * taa; // fm | |
584 | return y; | |
585 | } | |
586 | ||
f86dad79 | 587 | Double_t AliFastGlauber::WSN(Double_t* x, Double_t* /*par*/) |
5b3a5a5d | 588 | { |
589 | // | |
c2140715 | 590 | // Number of hard processes per event |
5b3a5a5d | 591 | // |
592 | Double_t b = x[0]; | |
88cb7938 | 593 | Double_t y = fWSbinary->Eval(b)/fWSgeo->Eval(b); |
5b3a5a5d | 594 | return y; |
595 | } | |
596 | ||
2a103154 | 597 | Double_t AliFastGlauber::WEnergyDensity(Double_t* x, Double_t* par) |
598 | { | |
599 | // | |
600 | // Initial energy density as a function of the impact parameter | |
601 | // | |
602 | Double_t b = x[0]; | |
603 | Double_t rA = par[0]; | |
b6d0ed6b | 604 | // |
605 | // Attention: area of transverse reaction zone in hard-sphere approximation ! | |
606 | Double_t saa = (TMath::Pi() - 2. * TMath::ASin(b/ 2./ rA)) * rA * rA | |
607 | - b * TMath::Sqrt(rA * rA - b * b/ 4.); | |
2a103154 | 608 | Double_t taa = fWStaa->Eval(b); |
609 | ||
610 | return (taa/saa); | |
611 | } | |
612 | ||
5b3a5a5d | 613 | void AliFastGlauber::SimulateTrigger(Int_t n) |
614 | { | |
615 | // | |
616 | // Simulates Trigger | |
617 | // | |
618 | TH1F* mbtH = new TH1F("mbtH", "MB Trigger b-Distribution", 100, 0., 20.); | |
619 | TH1F* hdtH = new TH1F("hdtH", "Hard Trigger b-Distribution", 100, 0., 20.); | |
620 | TH1F* mbmH = new TH1F("mbmH", "MB Trigger Multiplicity Distribution", 100, 0., 8000.); | |
621 | TH1F* hdmH = new TH1F("hdmH", "Hard Trigger Multiplicity Distribution", 100, 0., 8000.); | |
622 | ||
623 | mbtH->SetXTitle("b [fm]"); | |
624 | hdtH->SetXTitle("b [fm]"); | |
625 | mbmH->SetXTitle("Multiplicity"); | |
626 | hdmH->SetXTitle("Multiplicity"); | |
627 | ||
628 | TCanvas *c0 = new TCanvas("c0","Trigger Simulation",400,10,600,700); | |
629 | c0->Divide(2,1); | |
630 | TCanvas *c1 = new TCanvas("c1","Trigger Simulation",400,10,600,700); | |
631 | c1->Divide(1,2); | |
632 | ||
633 | // | |
634 | // | |
635 | Init(1); | |
636 | for (Int_t iev = 0; iev < n; iev++) | |
637 | { | |
638 | Float_t b, p, mult; | |
639 | GetRandom(b, p, mult); | |
640 | mbtH->Fill(b,1.); | |
641 | hdtH->Fill(b, p); | |
642 | mbmH->Fill(mult, 1.); | |
643 | hdmH->Fill(mult, p); | |
644 | ||
645 | c0->cd(1); | |
646 | mbtH->Draw(); | |
647 | c0->cd(2); | |
648 | hdtH->Draw(); | |
649 | c0->Update(); | |
650 | ||
651 | c1->cd(1); | |
652 | mbmH->Draw(); | |
653 | c1->cd(2); | |
654 | hdmH->Draw(); | |
655 | c1->Update(); | |
656 | } | |
657 | } | |
658 | ||
659 | void AliFastGlauber::GetRandom(Float_t& b, Float_t& p, Float_t& mult) | |
660 | { | |
661 | // | |
662 | // Gives back a random impact parameter, hard trigger probability and multiplicity | |
663 | // | |
664 | b = fWSgeo->GetRandom(); | |
665 | Float_t mu = fWSN->Eval(b); | |
666 | p = 1.-TMath::Exp(-mu); | |
88cb7938 | 667 | mult = 6000./fWSN->Eval(1.) * mu; |
5b3a5a5d | 668 | } |
669 | ||
c2140715 | 670 | void AliFastGlauber::GetRandom(Int_t& bin, Bool_t& hard) |
671 | { | |
672 | // | |
673 | // Gives back a random impact parameter bin, and hard trigger decission | |
674 | // | |
675 | Float_t b = fWSgeo->GetRandom(); | |
676 | Float_t mu = fWSN->Eval(b) * fSigmaHard; | |
677 | Float_t p = 1.-TMath::Exp(-mu); | |
678 | if (b < 5.) { | |
679 | bin = 1; | |
680 | } else if (b < 8.6) { | |
681 | bin = 2; | |
682 | } else if (b < 11.2) { | |
683 | bin = 3; | |
684 | } else if (b < 13.2) { | |
685 | bin = 4; | |
204e011f | 686 | } else if (b < 15.0) { |
c2140715 | 687 | bin = 5; |
204e011f | 688 | } else { |
689 | bin = 6; | |
c2140715 | 690 | } |
691 | ||
692 | hard = kFALSE; | |
693 | ||
694 | Float_t r = gRandom->Rndm(); | |
695 | ||
696 | if (r < p) hard = kTRUE; | |
697 | } | |
698 | ||
699 | ||
5b3a5a5d | 700 | Float_t AliFastGlauber::GetRandomImpactParameter(Float_t bmin, Float_t bmax) |
701 | { | |
702 | // | |
703 | // Gives back a random impact parameter in the range bmin .. bmax | |
704 | // | |
705 | ||
706 | Float_t b = -1.; | |
707 | while(b < bmin || b > bmax) | |
708 | b = fWSgeo->GetRandom(); | |
709 | return b; | |
710 | } | |
711 | ||
712 | Double_t AliFastGlauber::CrossSection(Double_t b1, Double_t b2) | |
713 | { | |
714 | // | |
715 | // Return cross-section integrated from b1 to b2 | |
716 | // | |
717 | ||
718 | return fWSgeo->Integral(b1, b2)/100.; | |
719 | } | |
720 | ||
721 | Double_t AliFastGlauber::FractionOfHardCrossSection(Double_t b1, Double_t b2) | |
722 | { | |
723 | // | |
724 | // Return raction of hard cross-section integrated from b1 to b2 | |
725 | // | |
726 | ||
727 | return fWSbinary->Integral(b1, b2)/fWSbinary->Integral(0., 100.); | |
728 | } | |
729 | ||
730 | ||
731 | Double_t AliFastGlauber::Binaries(Double_t b) | |
732 | { | |
733 | // | |
734 | // Return number of binary collisions normalized to 1 at b=0 | |
735 | // | |
736 | ||
b6d0ed6b | 737 | return fWSN->Eval(b)/fWSN->Eval(0.001); |
5b3a5a5d | 738 | } |