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7984e5f7 1//
2// Utilities used in the forward multiplcity analysis
3//
4//
7e4038b5 5#include "AliForwardUtil.h"
9d99b0dd 6#include <AliAnalysisManager.h>
7#include "AliAODForwardMult.h"
8#include <AliLog.h>
9#include <AliInputEventHandler.h>
290052e7 10#include <AliAODInputHandler.h>
11#include <AliAODHandler.h>
12#include <AliAODEvent.h>
9d99b0dd 13#include <AliESDEvent.h>
290052e7 14#include <AliAnalysisTaskSE.h>
9d99b0dd 15#include <AliPhysicsSelection.h>
16#include <AliTriggerAnalysis.h>
17#include <AliMultiplicity.h>
241cca4d 18#include <TParameter.h>
7e4038b5 19#include <TH2D.h>
9d99b0dd 20#include <TH1I.h>
7f759bb7 21#include <TF1.h>
22#include <TFitResult.h>
7e4038b5 23#include <TMath.h>
7f759bb7 24#include <TError.h>
f53fb4f6 25#include <TROOT.h>
7f759bb7 26
0bd4b00f 27//====================================================================
28UShort_t
29AliForwardUtil::ParseCollisionSystem(const char* sys)
30{
7984e5f7 31 //
32 // Parse a collision system spec given in a string. Known values are
33 //
0151a6c6 34 // - "ppb", "p-pb", "pa", "p-a" which returns kPPb
35 // - "pp", "p-p" which returns kPP
36 // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb
7984e5f7 37 // - Everything else gives kUnknown
38 //
39 // Parameters:
40 // sys Collision system spec
41 //
42 // Return:
43 // Collision system id
44 //
0bd4b00f 45 TString s(sys);
46 s.ToLower();
0151a6c6 47 // we do pA first to avoid pp catch on ppb string (AH)
48 if (s.Contains("p-pb") || s.Contains("ppb")) return AliForwardUtil::kPPb;
49 if (s.Contains("p-a") || s.Contains("pa")) return AliForwardUtil::kPPb;
50 if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP;
51 if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb;
52 if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb;
0bd4b00f 53 return AliForwardUtil::kUnknown;
54}
55//____________________________________________________________________
56const char*
57AliForwardUtil::CollisionSystemString(UShort_t sys)
58{
7984e5f7 59 //
60 // Get a string representation of the collision system
61 //
62 // Parameters:
63 // sys Collision system
64 // - kPP -> "pp"
65 // - kPbPb -> "PbPb"
66 // - anything else gives "unknown"
67 //
68 // Return:
69 // String representation of the collision system
70 //
0bd4b00f 71 switch (sys) {
72 case AliForwardUtil::kPP: return "pp";
73 case AliForwardUtil::kPbPb: return "PbPb";
0151a6c6 74 case AliForwardUtil::kPPb: return "pPb";
0bd4b00f 75 }
76 return "unknown";
77}
78//____________________________________________________________________
79UShort_t
cc83fca2 80AliForwardUtil::ParseCenterOfMassEnergy(UShort_t /* sys */, Float_t v)
0bd4b00f 81{
7984e5f7 82 //
83 // Parse the center of mass energy given as a float and return known
84 // values as a unsigned integer
85 //
86 // Parameters:
87 // sys Collision system (needed for AA)
88 // cms Center of mass energy * total charge
89 //
90 // Return:
91 // Center of mass energy per nucleon
92 //
0bd4b00f 93 Float_t energy = v;
cc83fca2 94 // Below no longer needed apparently
95 // if (sys == AliForwardUtil::kPbPb) energy = energy / 208 * 82;
0bd4b00f 96 if (TMath::Abs(energy - 900.) < 10) return 900;
97 if (TMath::Abs(energy - 2400.) < 10) return 2400;
e58000b7 98 if (TMath::Abs(energy - 2750.) < 20) return 2750;
0151a6c6 99 if (TMath::Abs(energy - 4400.) < 10) return 4400;
0bd4b00f 100 if (TMath::Abs(energy - 5500.) < 40) return 5500;
101 if (TMath::Abs(energy - 7000.) < 10) return 7000;
4bcdcbc1 102 if (TMath::Abs(energy - 8000.) < 10) return 8000;
0bd4b00f 103 if (TMath::Abs(energy - 10000.) < 10) return 10000;
104 if (TMath::Abs(energy - 14000.) < 10) return 14000;
105 return 0;
106}
107//____________________________________________________________________
108const char*
109AliForwardUtil::CenterOfMassEnergyString(UShort_t cms)
110{
7984e5f7 111 //
112 // Get a string representation of the center of mass energy per nuclean
113 //
114 // Parameters:
115 // cms Center of mass energy per nucleon
116 //
117 // Return:
118 // String representation of the center of mass energy per nuclean
119 //
0bd4b00f 120 return Form("%04dGeV", cms);
121}
122//____________________________________________________________________
123Short_t
124AliForwardUtil::ParseMagneticField(Float_t v)
125{
7984e5f7 126 //
127 // Parse the magnetic field (in kG) as given by a floating point number
128 //
129 // Parameters:
130 // field Magnetic field in kG
131 //
132 // Return:
133 // Short integer value of magnetic field in kG
134 //
0bd4b00f 135 if (TMath::Abs(v - 5.) < 1 ) return +5;
136 if (TMath::Abs(v + 5.) < 1 ) return -5;
137 if (TMath::Abs(v) < 1) return 0;
138 return 999;
139}
140//____________________________________________________________________
141const char*
142AliForwardUtil::MagneticFieldString(Short_t f)
143{
7984e5f7 144 //
145 // Get a string representation of the magnetic field
146 //
147 // Parameters:
148 // field Magnetic field in kG
149 //
150 // Return:
151 // String representation of the magnetic field
152 //
0bd4b00f 153 return Form("%01dkG", f);
154}
290052e7 155//_____________________________________________________________________
156AliAODEvent* AliForwardUtil::GetAODEvent(AliAnalysisTaskSE* task)
157{
158 // Check if AOD is the output event
159 AliAODEvent* ret = task->AODEvent();
160 if (ret) return ret;
161
162 // Check if AOD is the input event
163 ret = dynamic_cast<AliAODEvent*>(task->InputEvent());
164 if (!ret) ::Warning("GetAODEvent", "No AOD event found");
165
166 return ret;
167}
168//_____________________________________________________________________
169UShort_t AliForwardUtil::CheckForAOD()
170{
171 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
172 if (dynamic_cast<AliAODInputHandler*>(am->GetInputEventHandler())) {
173 ::Info("CheckForAOD", "Found AOD Input handler");
174 return 1;
175 }
176 if (dynamic_cast<AliAODHandler*>(am->GetOutputEventHandler())) {
177 ::Info("CheckForAOD", "Found AOD Output handler");
178 return 2;
179 }
180
181 ::Warning("CheckForAOD",
182 "Neither and input nor output AOD handler is specified");
183 return 0;
184}
185//_____________________________________________________________________
186Bool_t AliForwardUtil::CheckForTask(const char* clsOrName, Bool_t cls)
187{
188 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
189 if (!cls) {
190 AliAnalysisTask* t = am->GetTask(clsOrName);
191 if (!t) {
192 ::Warning("CheckForTask", "Task %s not found in manager", clsOrName);
193 return false;
194 }
195 ::Info("CheckForTask", "Found task %s", clsOrName);
196 return true;
197 }
198 TClass* dep = gROOT->GetClass(clsOrName);
199 if (!dep) {
200 ::Warning("CheckForTask", "Unknown class %s for needed task", clsOrName);
201 return false;
202 }
203 TIter next(am->GetTasks());
204 TObject* o = 0;
205 while ((o = next())) {
206 if (o->IsA()->InheritsFrom(dep)) {
207 ::Info("CheckForTask", "Found task of class %s: %s",
208 clsOrName, o->GetName());
209 return true;
210 }
211 }
212 ::Warning("CheckForTask", "No task of class %s was found", clsOrName);
213 return false;
214}
215
241cca4d 216//_____________________________________________________________________
217TObject* AliForwardUtil::MakeParameter(const Char_t* name, UShort_t value)
218{
219 TParameter<int>* ret = new TParameter<int>(name, value);
220 ret->SetUniqueID(value);
221 return ret;
222}
223//_____________________________________________________________________
224TObject* AliForwardUtil::MakeParameter(const Char_t* name, Int_t value)
225{
226 TParameter<int>* ret = new TParameter<int>(name, value);
227 ret->SetUniqueID(value);
228 return ret;
229}
230//_____________________________________________________________________
231TObject* AliForwardUtil::MakeParameter(const Char_t* name, Double_t value)
232{
233 TParameter<double>* ret = new TParameter<double>(name, value);
234 Float_t v = value;
235 ret->SetUniqueID(*reinterpret_cast<UInt_t*>(&v));
236 return ret;
237}
238//_____________________________________________________________________
239TObject* AliForwardUtil::MakeParameter(const Char_t* name, Bool_t value)
240{
241 TParameter<bool>* ret = new TParameter<bool>(name, value);
242 ret->SetUniqueID(value);
243 return ret;
244}
245
246//_____________________________________________________________________
247void AliForwardUtil::GetParameter(TObject* o, UShort_t& value)
248{
249 if (!o) return;
250 value = o->GetUniqueID();
251}
252//_____________________________________________________________________
253void AliForwardUtil::GetParameter(TObject* o, Int_t& value)
254{
255 if (!o) return;
256 value = o->GetUniqueID();
257}
258//_____________________________________________________________________
259void AliForwardUtil::GetParameter(TObject* o, Double_t& value)
260{
261 if (!o) return;
262 UInt_t i = o->GetUniqueID();
263 Float_t v = *reinterpret_cast<Float_t*>(&i);
264 value = v;
265}
266//_____________________________________________________________________
267void AliForwardUtil::GetParameter(TObject* o, Bool_t& value)
268{
269 if (!o) return;
270 value = o->GetUniqueID();
271}
290052e7 272
6f4a5c0d 273//_____________________________________________________________________
274Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring, UShort_t sec, UShort_t strip, Double_t zvtx)
275{
276 //Calculate eta from strip with vertex (redundant with AliESDFMD::Eta but support displaced vertices)
277
278 //Get max R of ring
279 Double_t maxR = 0;
280 Double_t minR = 0;
281 Bool_t inner = false;
282 switch (ring) {
283 case 'i': case 'I': maxR = 17.2; minR = 4.5213; inner = true; break;
284 case 'o': case 'O': maxR = 28.0; minR = 15.4; inner = false; break;
285 default:
286 return -99999;
287 }
288
289 Double_t rad = maxR- minR;
290 Double_t nStrips = (ring == 'I' ? 512 : 256);
291 Double_t segment = rad / nStrips;
292 Double_t r = minR + segment*strip;
293 Int_t hybrid = sec / 2;
294
295 Double_t z = 0;
296 switch (det) {
297 case 1: z = 320.266; break;
298 case 2: z = (inner ? 83.666 : 74.966); break;
299 case 3: z = (inner ? -63.066 : -74.966); break;
300 default: return -999999;
301 }
302 if ((hybrid % 2) == 0) z -= .5;
303
304 Double_t theta = TMath::ATan2(r,z-zvtx);
305 Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta));
306
307 return eta;
308}
0bd4b00f 309
310
7f759bb7 311//====================================================================
312Int_t AliForwardUtil::fgConvolutionSteps = 100;
313Double_t AliForwardUtil::fgConvolutionNSigma = 5;
314namespace {
7984e5f7 315 //
316 // The shift of the most probable value for the ROOT function TMath::Landau
317 //
7f759bb7 318 const Double_t mpshift = -0.22278298;
7984e5f7 319 //
320 // Integration normalisation
321 //
7f759bb7 322 const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi());
323
7984e5f7 324 //
325 // Utility function to use in TF1 defintition
326 //
7f759bb7 327 Double_t landauGaus1(Double_t* xp, Double_t* pp)
328 {
329 Double_t x = xp[0];
c389303e 330 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
331 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
332 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
333 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
1174780f 334 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
7f759bb7 335
1174780f 336 return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigmaN);
7f759bb7 337 }
338
7984e5f7 339 //
340 // Utility function to use in TF1 defintition
341 //
7f759bb7 342 Double_t landauGausN(Double_t* xp, Double_t* pp)
343 {
344 Double_t x = xp[0];
c389303e 345 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
346 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
347 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
348 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
1174780f 349 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
c389303e 350 Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
351 Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]);
7f759bb7 352
1174780f 353 return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigmaN,
7f759bb7 354 n, a);
355 }
7984e5f7 356 //
357 // Utility function to use in TF1 defintition
358 //
0bd4b00f 359 Double_t landauGausI(Double_t* xp, Double_t* pp)
360 {
361 Double_t x = xp[0];
362 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
363 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
364 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
365 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
1174780f 366 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
0bd4b00f 367 Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
368
1174780f 369 return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
0bd4b00f 370 }
7f759bb7 371
372
373}
374//____________________________________________________________________
375Double_t
376AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi)
377{
7984e5f7 378 //
379 // Calculate the shifted Landau
380 // @f[
381 // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi)
382 // @f]
383 //
384 // where @f$ f_{L}@f$ is the ROOT implementation of the Landau
385 // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for
386 // @f$\Delta=0,\xi=1@f$.
387 //
388 // Parameters:
389 // x Where to evaluate @f$ f'_{L}@f$
390 // delta Most probable value
391 // xi The 'width' of the distribution
392 //
393 // Return:
394 // @f$ f'_{L}(x;\Delta,\xi) @f$
395 //
7f759bb7 396 return TMath::Landau(x, delta - xi * mpshift, xi);
397}
398//____________________________________________________________________
399Double_t
400AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi,
1174780f 401 Double_t sigma, Double_t sigmaN)
7f759bb7 402{
7984e5f7 403 //
404 // Calculate the value of a Landau convolved with a Gaussian
405 //
406 // @f[
407 // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}}
408 // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi)
409 // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}}
410 // @f]
411 //
412 // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the
413 // energy loss, @f$ \xi@f$ the width of the Landau, and
414 // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the
415 // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling
416 // noise in the detector.
417 //
418 // Note that this function uses the constants fgConvolutionSteps and
419 // fgConvolutionNSigma
420 //
421 // References:
422 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
423 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
424 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
425 //
426 // Parameters:
427 // x where to evaluate @f$ f@f$
428 // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
429 // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
430 // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
431 // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
432 //
433 // Return:
434 // @f$ f@f$ evaluated at @f$ x@f$.
435 //
7f759bb7 436 Double_t deltap = delta - xi * mpshift;
1174780f 437 Double_t sigma2 = sigmaN*sigmaN + sigma*sigma;
438 Double_t sigma1 = sigmaN == 0 ? sigma : TMath::Sqrt(sigma2);
7f759bb7 439 Double_t xlow = x - fgConvolutionNSigma * sigma1;
c389303e 440 Double_t xhigh = x + fgConvolutionNSigma * sigma1;
7f759bb7 441 Double_t step = (xhigh - xlow) / fgConvolutionSteps;
442 Double_t sum = 0;
443
444 for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) {
c389303e 445 Double_t x1 = xlow + (i - .5) * step;
446 Double_t x2 = xhigh - (i - .5) * step;
7f759bb7 447
448 sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1);
449 sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1);
450 }
451 return step * sum * invSq2pi / sigma1;
452}
453
0bd4b00f 454//____________________________________________________________________
455Double_t
456AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi,
1174780f 457 Double_t sigma, Double_t sigmaN, Int_t i)
0bd4b00f 458{
7984e5f7 459 //
460 // Evaluate
461 // @f[
462 // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i')
463 // @f]
464 // corresponding to @f$ i@f$ particles i.e., with the substitutions
465 // @f{eqnarray*}{
466 // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i))
467 // \xi \rightarrow \xi_i &=& i \xi
468 // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma
469 // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2
470 // @f}
471 //
472 // Parameters:
473 // x Where to evaluate
474 // delta @f$ \Delta@f$
475 // xi @f$ \xi@f$
476 // sigma @f$ \sigma@f$
477 // sigma_n @f$ \sigma_n@f$
478 // i @f$ i @f$
479 //
480 // Return:
481 // @f$ f_i @f$ evaluated
482 //
1174780f 483 Double_t deltaI = (i == 1 ? delta : i * (delta + xi * TMath::Log(i)));
484 Double_t xiI = i * xi;
485 Double_t sigmaI = (i == 1 ? sigma : TMath::Sqrt(Double_t(i))*sigma);
486 if (sigmaI < 1e-10) {
0bd4b00f 487 // Fall back to landau
1174780f 488 return AliForwardUtil::Landau(x, deltaI, xiI);
0bd4b00f 489 }
1174780f 490 return AliForwardUtil::LandauGaus(x, deltaI, xiI, sigmaI, sigmaN);
0bd4b00f 491}
492
493//____________________________________________________________________
494Double_t
495AliForwardUtil::IdLandauGausdPar(Double_t x,
496 UShort_t par, Double_t dPar,
497 Double_t delta, Double_t xi,
1174780f 498 Double_t sigma, Double_t sigmaN,
0bd4b00f 499 Int_t i)
500{
7984e5f7 501 //
502 // Numerically evaluate
503 // @f[
504 // \left.\frac{\partial f_i}{\partial p_i}\right|_{x}
505 // @f]
506 // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping
507 // of the parameters is given by
508 //
509 // - 0: @f$\Delta@f$
510 // - 1: @f$\xi@f$
511 // - 2: @f$\sigma@f$
512 // - 3: @f$\sigma_n@f$
513 //
514 // This is the partial derivative with respect to the parameter of
515 // the response function corresponding to @f$ i@f$ particles i.e.,
516 // with the substitutions
517 // @f[
518 // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i))
519 // \xi \rightarrow \xi_i = i \xi
520 // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma
521 // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2
522 // @f]
523 //
524 // Parameters:
525 // x Where to evaluate
526 // ipar Parameter number
527 // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$
528 // delta @f$ \Delta@f$
529 // xi @f$ \xi@f$
530 // sigma @f$ \sigma@f$
531 // sigma_n @f$ \sigma_n@f$
532 // i @f$ i@f$
533 //
534 // Return:
535 // @f$ f_i@f$ evaluated
536 //
0bd4b00f 537 if (dPar == 0) return 0;
538 Double_t dp = dPar;
539 Double_t d2 = dPar / 2;
1174780f 540 Double_t deltaI = i * (delta + xi * TMath::Log(i));
541 Double_t xiI = i * xi;
0bd4b00f 542 Double_t si = TMath::Sqrt(Double_t(i));
1174780f 543 Double_t sigmaI = si*sigma;
0bd4b00f 544 Double_t y1 = 0;
545 Double_t y2 = 0;
546 Double_t y3 = 0;
547 Double_t y4 = 0;
548 switch (par) {
549 case 0:
1174780f 550 y1 = ILandauGaus(x, deltaI+i*dp, xiI, sigmaI, sigmaN, i);
551 y2 = ILandauGaus(x, deltaI+i*d2, xiI, sigmaI, sigmaN, i);
552 y3 = ILandauGaus(x, deltaI-i*d2, xiI, sigmaI, sigmaN, i);
553 y4 = ILandauGaus(x, deltaI-i*dp, xiI, sigmaI, sigmaN, i);
0bd4b00f 554 break;
555 case 1:
1174780f 556 y1 = ILandauGaus(x, deltaI, xiI+i*dp, sigmaI, sigmaN, i);
557 y2 = ILandauGaus(x, deltaI, xiI+i*d2, sigmaI, sigmaN, i);
558 y3 = ILandauGaus(x, deltaI, xiI-i*d2, sigmaI, sigmaN, i);
559 y4 = ILandauGaus(x, deltaI, xiI-i*dp, sigmaI, sigmaN, i);
0bd4b00f 560 break;
561 case 2:
1174780f 562 y1 = ILandauGaus(x, deltaI, xiI, sigmaI+si*dp, sigmaN, i);
563 y2 = ILandauGaus(x, deltaI, xiI, sigmaI+si*d2, sigmaN, i);
564 y3 = ILandauGaus(x, deltaI, xiI, sigmaI-si*d2, sigmaN, i);
565 y4 = ILandauGaus(x, deltaI, xiI, sigmaI-si*dp, sigmaN, i);
0bd4b00f 566 break;
567 case 3:
1174780f 568 y1 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+dp, i);
569 y2 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+d2, i);
570 y3 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-d2, i);
571 y4 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-dp, i);
0bd4b00f 572 break;
573 default:
574 return 0;
575 }
576
577 Double_t d0 = y1 - y4;
578 Double_t d1 = 2 * (y2 - y3);
579
580 Double_t g = 1/(2*dp) * (4*d1 - d0) / 3;
581
582 return g;
583}
584
7f759bb7 585//____________________________________________________________________
586Double_t
587AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi,
1174780f 588 Double_t sigma, Double_t sigmaN, Int_t n,
fb3430ac 589 const Double_t* a)
7f759bb7 590{
7984e5f7 591 //
592 // Evaluate
593 // @f[
594 // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a)
595 // @f]
596 //
597 // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a
598 // Landau with a Gaussian (see LandauGaus). Note that
599 // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$,
600 // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$.
601 //
602 // References:
603 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
604 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
605 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
606 //
607 // Parameters:
608 // x Where to evaluate @f$ f_N@f$
609 // delta @f$ \Delta_1@f$
610 // xi @f$ \xi_1@f$
611 // sigma @f$ \sigma_1@f$
612 // sigma_n @f$ \sigma_n@f$
613 // n @f$ N@f$ in the sum above.
614 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
615 // @f$ i > 1@f$
616 //
617 // Return:
618 // @f$ f_N(x;\Delta,\xi,\sigma')@f$
619 //
1174780f 620 Double_t result = ILandauGaus(x, delta, xi, sigma, sigmaN, 1);
0bd4b00f 621 for (Int_t i = 2; i <= n; i++)
1174780f 622 result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
7f759bb7 623 return result;
624}
0bd4b00f 625namespace {
626 const Int_t kColors[] = { kRed+1,
627 kPink+3,
628 kMagenta+2,
629 kViolet+2,
630 kBlue+1,
631 kAzure+3,
632 kCyan+1,
633 kTeal+2,
634 kGreen+2,
635 kSpring+3,
636 kYellow+2,
637 kOrange+2 };
638}
639
640//____________________________________________________________________
641TF1*
642AliForwardUtil::MakeNLandauGaus(Double_t c,
643 Double_t delta, Double_t xi,
1174780f 644 Double_t sigma, Double_t sigmaN, Int_t n,
fb3430ac 645 const Double_t* a,
0bd4b00f 646 Double_t xmin, Double_t xmax)
647{
7984e5f7 648 //
649 // Generate a TF1 object of @f$ f_N@f$
650 //
651 // Parameters:
652 // c Constant
653 // delta @f$ \Delta@f$
654 // xi @f$ \xi_1@f$
655 // sigma @f$ \sigma_1@f$
656 // sigma_n @f$ \sigma_n@f$
657 // n @f$ N@f$ - how many particles to sum to
658 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
659 // @f$ i > 1@f$
660 // xmin Least value of range
661 // xmax Largest value of range
662 //
663 // Return:
664 // Newly allocated TF1 object
665 //
0bd4b00f 666 Int_t npar = AliForwardUtil::ELossFitter::kN+n;
667 TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar);
668 // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed
669 landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red
670 landaun->SetLineWidth(2);
671 landaun->SetNpx(500);
672 landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N");
673
674 // Set the initial parameters from the seed fit
675 landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c);
676 landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
677 landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
678 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1174780f 679 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
0bd4b00f 680 landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n);
681
682 // Set the range and name of the scale parameters
683 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
684 landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]);
685 landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i));
686 }
687 return landaun;
688}
689//____________________________________________________________________
690TF1*
691AliForwardUtil::MakeILandauGaus(Double_t c,
692 Double_t delta, Double_t xi,
1174780f 693 Double_t sigma, Double_t sigmaN, Int_t i,
0bd4b00f 694 Double_t xmin, Double_t xmax)
695{
7984e5f7 696 //
697 // Generate a TF1 object of @f$ f_I@f$
698 //
699 // Parameters:
700 // c Constant
701 // delta @f$ \Delta@f$
702 // xi @f$ \xi_1@f$
703 // sigma @f$ \sigma_1@f$
704 // sigma_n @f$ \sigma_n@f$
705 // i @f$ i@f$ - the number of particles
706 // xmin Least value of range
707 // xmax Largest value of range
708 //
709 // Return:
710 // Newly allocated TF1 object
711 //
0bd4b00f 712 Int_t npar = AliForwardUtil::ELossFitter::kN+1;
713 TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar);
714 // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed
715 landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red
716 landaui->SetLineWidth(1);
717 landaui->SetNpx(500);
718 landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i");
719
720 // Set the initial parameters from the seed fit
721 landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c);
722 landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
723 landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
724 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1174780f 725 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
0bd4b00f 726 landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i);
727
728 return landaui;
729}
7f759bb7 730
731//====================================================================
732AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut,
733 Double_t maxRange,
734 UShort_t minusBins)
735 : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins),
736 fFitResults(0), fFunctions(0)
737{
7984e5f7 738 //
739 // Constructor
740 //
741 // Parameters:
742 // lowCut Lower cut of spectrum - data below this cuts is ignored
743 // maxRange Maximum range to fit to
744 // minusBins The number of bins below maximum to use
745 //
7f759bb7 746 fFitResults.SetOwner();
747 fFunctions.SetOwner();
748}
749//____________________________________________________________________
750AliForwardUtil::ELossFitter::~ELossFitter()
751{
7984e5f7 752 //
753 // Destructor
754 //
755 //
7f759bb7 756 fFitResults.Delete();
757 fFunctions.Delete();
758}
759//____________________________________________________________________
760void
761AliForwardUtil::ELossFitter::Clear()
762{
7984e5f7 763 //
764 // Clear internal arrays
765 //
766 //
7f759bb7 767 fFitResults.Clear();
768 fFunctions.Clear();
769}
770//____________________________________________________________________
771TF1*
772AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman)
773{
7984e5f7 774 //
775 // Fit a 1-particle signal to the passed energy loss distribution
776 //
777 // Note that this function clears the internal arrays first
778 //
779 // Parameters:
780 // dist Data to fit the function to
781 // sigman If larger than zero, the initial guess of the
782 // detector induced noise. If zero or less, then this
783 // parameter is ignored in the fit (fixed at 0)
784 //
785 // Return:
786 // The function fitted to the data
787 //
788
7f759bb7 789 // Clear the cache
790 Clear();
791
792 // Find the fit range
793 dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange);
794
7f759bb7 795 // Get the bin with maximum
796 Int_t maxBin = dist->GetMaximumBin();
797 Double_t maxE = dist->GetBinLowEdge(maxBin);
798
799 // Get the low edge
800 dist->GetXaxis()->SetRangeUser(fLowCut, maxE);
801 Int_t minBin = maxBin - fMinusBins; // dist->GetMinimumBin();
802 Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut);
803 Double_t maxEE = dist->GetBinCenter(maxBin+2*fMinusBins);
804
805 // Restore the range
806 dist->GetXaxis()->SetRangeUser(0, fMaxRange);
807
808 // Define the function to fit
0bd4b00f 809 TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxEE,kSigmaN+1);
7f759bb7 810
811 // Set initial guesses, parameter names, and limits
c389303e 812 landau1->SetParameters(1,0.5,0.07,0.1,sigman);
7f759bb7 813 landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}");
c389303e 814 landau1->SetNpx(500);
815 landau1->SetParLimits(kDelta, minE, fMaxRange);
816 landau1->SetParLimits(kXi, 0.00, fMaxRange);
817 landau1->SetParLimits(kSigma, 0.01, 0.1);
818 if (sigman <= 0) landau1->FixParameter(kSigmaN, 0);
819 else landau1->SetParLimits(kSigmaN, 0, fMaxRange);
7f759bb7 820
821 // Do the fit, getting the result object
822 TFitResultPtr r = dist->Fit(landau1, "RNQS", "", minE, maxEE);
c389303e 823 landau1->SetRange(minE, fMaxRange);
7f759bb7 824 fFitResults.AddAtAndExpand(new TFitResult(*r), 0);
825 fFunctions.AddAtAndExpand(landau1, 0);
826
827 return landau1;
828}
829//____________________________________________________________________
830TF1*
831AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n,
832 Double_t sigman)
833{
7984e5f7 834 //
835 // Fit a N-particle signal to the passed energy loss distribution
836 //
837 // If there's no 1-particle fit present, it does that first
838 //
839 // Parameters:
840 // dist Data to fit the function to
841 // n Number of particle signals to fit
842 // sigman If larger than zero, the initial guess of the
843 // detector induced noise. If zero or less, then this
844 // parameter is ignored in the fit (fixed at 0)
845 //
846 // Return:
847 // The function fitted to the data
848 //
849
7f759bb7 850 // Get the seed fit result
851 TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0));
852 TF1* f = static_cast<TF1*>(fFunctions.At(0));
853 if (!r || !f) {
854 f = Fit1Particle(dist, sigman);
855 r = static_cast<TFitResult*>(fFitResults.At(0));
856 if (!r || !f) {
857 ::Warning("FitNLandau", "No first shot at landau fit");
858 return 0;
859 }
860 }
861
862 // Get some parameters from seed fit
c389303e 863 Double_t delta1 = r->Parameter(kDelta);
864 Double_t xi1 = r->Parameter(kXi);
7f759bb7 865 Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1;
866 Double_t minE = f->GetXmin();
867
0bd4b00f 868 // Array of weights
869 TArrayD a(n-1);
870 for (UShort_t i = 2; i <= n; i++)
871 a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001);
7f759bb7 872 // Make the fit function
0bd4b00f 873 TF1* landaun = MakeNLandauGaus(r->Parameter(kC),
874 r->Parameter(kDelta),
875 r->Parameter(kXi),
876 r->Parameter(kSigma),
877 r->Parameter(kSigmaN),
878 n,a.fArray,minE,maxEi);
c389303e 879 landaun->SetParLimits(kDelta, minE, fMaxRange); // Delta
880 landaun->SetParLimits(kXi, 0.00, fMaxRange); // xi
881 landaun->SetParLimits(kSigma, 0.01, 1); // sigma
882 // Check if we're using the noise sigma
883 if (sigman <= 0) landaun->FixParameter(kSigmaN, 0);
884 else landaun->SetParLimits(kSigmaN, 0, fMaxRange);
7f759bb7 885
886 // Set the range and name of the scale parameters
887 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
c389303e 888 landaun->SetParLimits(kA+i-2, 0,1);
7f759bb7 889 }
890
891 // Do the fit
892 TFitResultPtr tr = dist->Fit(landaun, "RSQN", "", minE, maxEi);
893
c389303e 894 landaun->SetRange(minE, fMaxRange);
7f759bb7 895 fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1);
896 fFunctions.AddAtAndExpand(landaun, n-1);
897
898 return landaun;
899}
7e4038b5 900
901//====================================================================
902AliForwardUtil::Histos::~Histos()
903{
7984e5f7 904 //
905 // Destructor
906 //
7e4038b5 907 if (fFMD1i) delete fFMD1i;
908 if (fFMD2i) delete fFMD2i;
909 if (fFMD2o) delete fFMD2o;
910 if (fFMD3i) delete fFMD3i;
911 if (fFMD3o) delete fFMD3o;
912}
913
914//____________________________________________________________________
915TH2D*
916AliForwardUtil::Histos::Make(UShort_t d, Char_t r,
917 const TAxis& etaAxis) const
918{
7984e5f7 919 //
920 // Make a histogram
921 //
922 // Parameters:
923 // d Detector
924 // r Ring
925 // etaAxis Eta axis to use
926 //
927 // Return:
928 // Newly allocated histogram
929 //
7e4038b5 930 Int_t ns = (r == 'I' || r == 'i') ? 20 : 40;
931 TH2D* hist = new TH2D(Form("FMD%d%c_cache", d, r),
932 Form("FMD%d%c cache", d, r),
933 etaAxis.GetNbins(), etaAxis.GetXmin(),
934 etaAxis.GetXmax(), ns, 0, 2*TMath::Pi());
935 hist->SetXTitle("#eta");
936 hist->SetYTitle("#phi [radians]");
937 hist->SetZTitle("d^{2}N_{ch}/d#etad#phi");
938 hist->Sumw2();
939 hist->SetDirectory(0);
940
941 return hist;
942}
943//____________________________________________________________________
944void
945AliForwardUtil::Histos::Init(const TAxis& etaAxis)
946{
7984e5f7 947 //
948 // Initialize the object
949 //
950 // Parameters:
951 // etaAxis Eta axis to use
952 //
7e4038b5 953 fFMD1i = Make(1, 'I', etaAxis);
954 fFMD2i = Make(2, 'I', etaAxis);
955 fFMD2o = Make(2, 'O', etaAxis);
956 fFMD3i = Make(3, 'I', etaAxis);
957 fFMD3o = Make(3, 'O', etaAxis);
958}
959//____________________________________________________________________
960void
961AliForwardUtil::Histos::Clear(Option_t* option)
962{
7984e5f7 963 //
964 // Clear data
965 //
966 // Parameters:
967 // option Not used
968 //
422a78c8 969 if (fFMD1i) fFMD1i->Reset(option);
970 if (fFMD2i) fFMD2i->Reset(option);
971 if (fFMD2o) fFMD2o->Reset(option);
972 if (fFMD3i) fFMD3i->Reset(option);
973 if (fFMD3o) fFMD3o->Reset(option);
7e4038b5 974}
975
976//____________________________________________________________________
977TH2D*
978AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const
979{
7984e5f7 980 //
981 // Get the histogram for a particular detector,ring
982 //
983 // Parameters:
984 // d Detector
985 // r Ring
986 //
987 // Return:
988 // Histogram for detector,ring or nul
989 //
7e4038b5 990 switch (d) {
991 case 1: return fFMD1i;
992 case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o);
993 case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o);
994 }
995 return 0;
996}
9d99b0dd 997//====================================================================
998TList*
999AliForwardUtil::RingHistos::DefineOutputList(TList* d) const
1000{
7984e5f7 1001 //
1002 // Define the outout list in @a d
1003 //
1004 // Parameters:
1005 // d Where to put the output list
1006 //
1007 // Return:
1008 // Newly allocated TList object or null
1009 //
9d99b0dd 1010 if (!d) return 0;
1011 TList* list = new TList;
5bb5d1f6 1012 list->SetOwner();
9d99b0dd 1013 list->SetName(fName.Data());
1014 d->Add(list);
1015 return list;
1016}
1017//____________________________________________________________________
1018TList*
fb3430ac 1019AliForwardUtil::RingHistos::GetOutputList(const TList* d) const
9d99b0dd 1020{
7984e5f7 1021 //
1022 // Get our output list from the container @a d
1023 //
1024 // Parameters:
1025 // d where to get the output list from
1026 //
1027 // Return:
1028 // The found TList or null
1029 //
9d99b0dd 1030 if (!d) return 0;
1031 TList* list = static_cast<TList*>(d->FindObject(fName.Data()));
1032 return list;
1033}
1034
1035//____________________________________________________________________
1036TH1*
fb3430ac 1037AliForwardUtil::RingHistos::GetOutputHist(const TList* d, const char* name) const
9d99b0dd 1038{
7984e5f7 1039 //
1040 // Find a specific histogram in the source list @a d
1041 //
1042 // Parameters:
1043 // d (top)-container
1044 // name Name of histogram
1045 //
1046 // Return:
1047 // Found histogram or null
1048 //
9d99b0dd 1049 return static_cast<TH1*>(d->FindObject(name));
1050}
1051
f53fb4f6 1052//====================================================================
1053AliForwardUtil::DebugGuard::DebugGuard(Int_t lvl, Int_t msgLvl,
1054 const char* format, ...)
1055 : fMsg("")
1056{
1057 if (lvl < msgLvl) return;
1058 va_list ap;
1059 va_start(ap, format);
81a9a914 1060 Format(fMsg, format, ap);
f53fb4f6 1061 va_end(ap);
81a9a914 1062 Output(+1, fMsg);
f53fb4f6 1063}
1064//____________________________________________________________________
1065AliForwardUtil::DebugGuard::~DebugGuard()
1066{
1067 if (fMsg.IsNull()) return;
81a9a914 1068 Output(-1, fMsg);
1069}
1070//____________________________________________________________________
1071void
1072AliForwardUtil::DebugGuard::Message(Int_t lvl, Int_t msgLvl,
1073 const char* format, ...)
1074{
1075 if (lvl < msgLvl) return;
1076 TString msg;
1077 va_list ap;
1078 va_start(ap, format);
1079 Format(msg, format, ap);
1080 va_end(ap);
1081 Output(0, msg);
1082}
1083
1084//____________________________________________________________________
1085void
1086AliForwardUtil::DebugGuard::Format(TString& out, const char* format, va_list ap)
1087{
1088 static char buf[512];
1089 Int_t n = gROOT->GetDirLevel() + 2;
1090 for (Int_t i = 0; i < n; i++) buf[i] = ' ';
1091 vsnprintf(&(buf[n]), 511-n, format, ap);
1092 buf[511] = '\0';
1093 out = buf;
f53fb4f6 1094}
1095//____________________________________________________________________
1096void
81a9a914 1097AliForwardUtil::DebugGuard::Output(int in, TString& msg)
f53fb4f6 1098{
81a9a914 1099 msg[0] = (in > 0 ? '>' : in < 0 ? '<' : '=');
1100 AliLog::Message(AliLog::kInfo, msg, 0, 0, "PWGLF/forward", 0, 0);
1101 if (in > 0) gROOT->IncreaseDirLevel();
1102 else if (in < 0) gROOT->DecreaseDirLevel();
f53fb4f6 1103}
1104
1105
1106
7e4038b5 1107//
1108// EOF
1109//