2 // Utilities used in the forward multiplcity analysis
5 #include "AliForwardUtil.h"
6 //#include <ARVersion.h>
7 #include <AliAnalysisManager.h>
8 #include "AliAODForwardMult.h"
10 #include <AliInputEventHandler.h>
11 #include <AliAODInputHandler.h>
12 #include <AliAODHandler.h>
13 #include <AliAODEvent.h>
14 #include <AliESDEvent.h>
15 #include <AliAnalysisTaskSE.h>
16 #include <AliPhysicsSelection.h>
17 #include <AliTriggerAnalysis.h>
18 #include <AliMultiplicity.h>
19 #include <TParameter.h>
23 #include <TFitResult.h>
27 #define FIT_OPTIONS "RNQS"
29 //====================================================================
30 ULong_t AliForwardUtil::AliROOTRevision()
32 #ifdef ALIROOT_SVN_REVISION
33 return ALIROOT_SVN_REVISION;
34 #elif defined(ALIROOT_REVISION)
35 static ULong_t ret = 0;
36 if (ret != 0) return ret;
38 // Select first 32bits of the 40byte long check-sum
39 TString rev(ALIROOT_REVISION, 8);
40 for (ULong_t i = 0; i < 8; i++) {
43 case '0': p = 0; break;
44 case '1': p = 1; break;
45 case '2': p = 2; break;
46 case '3': p = 3; break;
47 case '4': p = 4; break;
48 case '5': p = 5; break;
49 case '6': p = 6; break;
50 case '7': p = 7; break;
51 case '8': p = 8; break;
52 case '9': p = 9; break;
53 case 'a': case 'A': p = 10; break;
54 case 'b': case 'B': p = 11; break;
55 case 'c': case 'C': p = 12; break;
56 case 'd': case 'D': p = 13; break;
57 case 'e': case 'E': p = 14; break;
58 case 'f': case 'F': p = 15; break;
60 ret |= (p << (32-4*(i+1)));
65 //____________________________________________________________________
66 ULong_t AliForwardUtil::AliROOTBranch()
68 // Do something here when we switch to git - sigh!
69 #if !defined(ALIROOT_SVN_BRANCH) && !defined(ALIROOT_BRANCH)
72 static ULong_t ret = 0;
73 if (ret != 0) return ret;
76 #ifdef ALIROOT_SVN_BRANCH
77 str = ALIROOT_SVN_BRANCH;
79 #elif defined(ALIROOT_BRANCH)
83 if (str[0] == 'v') str.Remove(0,1);
84 if (str.EqualTo(top)) return ret = 0xFFFFFFFF;
86 TObjArray* tokens = str.Tokenize("-");
87 TObjString* pMajor = static_cast<TObjString*>(tokens->At(0));
88 TObjString* pMinor = static_cast<TObjString*>(tokens->At(1));
89 TObjString* pRelea = static_cast<TObjString*>(tokens->At(2));
90 TObjString* pAn = (tokens->GetEntries() > 3 ?
91 static_cast<TObjString*>(tokens->At(3)) : 0);
92 TString sMajor = pMajor->String().Strip(TString::kLeading, '0');
93 TString sMinor = pMinor->String().Strip(TString::kLeading, '0');
94 TString sRelea = pRelea->String().Strip(TString::kLeading, '0');
96 ret = (((sMajor.Atoi() & 0xFF) << 12) |
97 ((sMinor.Atoi() & 0xFF) << 8) |
98 ((sRelea.Atoi() & 0xFF) << 4) |
104 //====================================================================
106 AliForwardUtil::ParseCollisionSystem(const char* sys)
109 // Parse a collision system spec given in a string. Known values are
111 // - "ppb", "p-pb", "pa", "p-a" which returns kPPb
112 // - "pp", "p-p" which returns kPP
113 // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb
114 // - Everything else gives kUnknown
117 // sys Collision system spec
120 // Collision system id
124 // we do pA first to avoid pp catch on ppb string (AH)
125 if (s.Contains("p-pb") || s.Contains("ppb")) return AliForwardUtil::kPPb;
126 if (s.Contains("p-a") || s.Contains("pa")) return AliForwardUtil::kPPb;
127 if (s.Contains("a-p") || s.Contains("ap")) return AliForwardUtil::kPPb;
128 if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP;
129 if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb;
130 if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb;
131 return AliForwardUtil::kUnknown;
133 //____________________________________________________________________
135 AliForwardUtil::CollisionSystemString(UShort_t sys)
138 // Get a string representation of the collision system
141 // sys Collision system
144 // - anything else gives "unknown"
147 // String representation of the collision system
150 case AliForwardUtil::kPP: return "pp";
151 case AliForwardUtil::kPbPb: return "PbPb";
152 case AliForwardUtil::kPPb: return "pPb";
156 //____________________________________________________________________
158 AliForwardUtil::BeamRapidity(Float_t beam, UShort_t z, UShort_t a)
160 const Double_t pMass = 9.38271999999999995e-01;
161 const Double_t nMass = 9.39564999999999984e-01;
162 Double_t beamE = z * beam / 2;
163 Double_t beamM = z * pMass + (a - z) * nMass;
164 Double_t beamP = TMath::Sqrt(beamE * beamE - beamM * beamM);
165 Double_t beamY = .5* TMath::Log((beamE+beamP) / (beamE-beamP));
168 //____________________________________________________________________
170 AliForwardUtil::CenterOfMassEnergy(Float_t beam,
176 // Calculate the center of mass energy given target/projectile
177 // mass and charge numbers
180 return TMath::Sqrt(Float_t(z1*z2)/a1/a2) * beam;
182 //____________________________________________________________________
184 AliForwardUtil::CenterOfMassRapidity(UShort_t z1,
189 // Calculate the center of mass rapidity (shift) given target/projectile
190 // mass and charge numbers
193 if (z2 == z1 && a2 == a1) return 0;
194 return .5 * TMath::Log(Float_t(z1*a2)/z2/a1);
198 UShort_t CheckSNN(Float_t energy)
200 if (TMath::Abs(energy - 900.) < 10) return 900;
201 if (TMath::Abs(energy - 2400.) < 10) return 2400;
202 if (TMath::Abs(energy - 2760.) < 20) return 2760;
203 if (TMath::Abs(energy - 4400.) < 10) return 4400;
204 if (TMath::Abs(energy - 5022.) < 10) return 5023;
205 if (TMath::Abs(energy - 5500.) < 40) return 5500;
206 if (TMath::Abs(energy - 7000.) < 10) return 7000;
207 if (TMath::Abs(energy - 8000.) < 10) return 8000;
208 if (TMath::Abs(energy - 10000.) < 10) return 10000;
209 if (TMath::Abs(energy - 14000.) < 10) return 14000;
213 //____________________________________________________________________
215 AliForwardUtil::ParseCenterOfMassEnergy(UShort_t sys, Float_t beam)
218 // Parse the center of mass energy given as a float and return known
219 // values as a unsigned integer
222 // sys Collision system (needed for AA)
223 // beam Center of mass energy * total charge
226 // Center of mass energy per nucleon
228 Float_t energy = beam;
229 // Below no longer needed apparently
230 // if (sys == AliForwardUtil::kPbPb) energy = energy / 208 * 82;
231 if (sys == AliForwardUtil::kPPb)
232 energy = CenterOfMassEnergy(beam, 82, 208, 1, 1);
233 else if (sys == AliForwardUtil::kPbPb)
234 energy = CenterOfMassEnergy(beam, 82, 208, 82, 208);
235 UShort_t ret = CheckSNN(energy);
236 if (ret > 1) return ret;
237 if (sys == AliForwardUtil::kPbPb || sys == AliForwardUtil::kPPb) {
238 ret = CheckSNN(beam);
242 //____________________________________________________________________
244 AliForwardUtil::CenterOfMassEnergyString(UShort_t cms)
247 // Get a string representation of the center of mass energy per nuclean
250 // cms Center of mass energy per nucleon
253 // String representation of the center of mass energy per nuclean
255 return Form("%04dGeV", cms);
257 //____________________________________________________________________
259 AliForwardUtil::ParseMagneticField(Float_t v)
262 // Parse the magnetic field (in kG) as given by a floating point number
265 // field Magnetic field in kG
268 // Short integer value of magnetic field in kG
270 if (TMath::Abs(v - 5.) < 1 ) return +5;
271 if (TMath::Abs(v + 5.) < 1 ) return -5;
272 if (TMath::Abs(v) < 1) return 0;
275 //____________________________________________________________________
277 AliForwardUtil::MagneticFieldString(Short_t f)
280 // Get a string representation of the magnetic field
283 // field Magnetic field in kG
286 // String representation of the magnetic field
288 return Form("%01dkG", f);
290 //_____________________________________________________________________
291 AliAODEvent* AliForwardUtil::GetAODEvent(AliAnalysisTaskSE* task)
293 // Check if AOD is the output event
294 if (!task) ::Fatal("GetAODEvent", "Null task given, cannot do that");
296 AliAODEvent* ret = task->AODEvent();
299 // Check if AOD is the input event
300 ret = dynamic_cast<AliAODEvent*>(task->InputEvent());
301 if (!ret) ::Warning("GetAODEvent", "No AOD event found");
305 //_____________________________________________________________________
306 UShort_t AliForwardUtil::CheckForAOD()
308 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
309 if (dynamic_cast<AliAODInputHandler*>(am->GetInputEventHandler())) {
310 // ::Info("CheckForAOD", "Found AOD Input handler");
313 if (dynamic_cast<AliAODHandler*>(am->GetOutputEventHandler())) {
314 // ::Info("CheckForAOD", "Found AOD Output handler");
318 ::Warning("CheckForAOD",
319 "Neither and input nor output AOD handler is specified");
322 //_____________________________________________________________________
323 Bool_t AliForwardUtil::CheckForTask(const char* clsOrName, Bool_t cls)
325 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
327 AliAnalysisTask* t = am->GetTask(clsOrName);
329 ::Warning("CheckForTask", "Task %s not found in manager", clsOrName);
332 ::Info("CheckForTask", "Found task %s", clsOrName);
335 TClass* dep = gROOT->GetClass(clsOrName);
337 ::Warning("CheckForTask", "Unknown class %s for needed task", clsOrName);
340 TIter next(am->GetTasks());
342 while ((o = next())) {
343 if (o->IsA()->InheritsFrom(dep)) {
344 ::Info("CheckForTask", "Found task of class %s: %s",
345 clsOrName, o->GetName());
349 ::Warning("CheckForTask", "No task of class %s was found", clsOrName);
353 //_____________________________________________________________________
354 TObject* AliForwardUtil::MakeParameter(const Char_t* name, UShort_t value)
356 TParameter<int>* ret = new TParameter<int>(name, value);
357 ret->SetMergeMode('f');
358 ret->SetUniqueID(value);
361 //_____________________________________________________________________
362 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Int_t value)
364 TParameter<int>* ret = new TParameter<int>(name, value);
365 ret->SetMergeMode('f');
366 ret->SetUniqueID(value);
369 //_____________________________________________________________________
370 TObject* AliForwardUtil::MakeParameter(const Char_t* name, ULong_t value)
372 TParameter<Long_t>* ret = new TParameter<Long_t>(name, value);
373 ret->SetMergeMode('f');
374 ret->SetUniqueID(value);
377 //_____________________________________________________________________
378 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Double_t value)
380 TParameter<double>* ret = new TParameter<double>(name, value);
381 // Float_t v = value;
382 // UInt_t* tmp = reinterpret_cast<UInt_t*>(&v);
383 ret->SetMergeMode('f');
384 // ret->SetUniqueID(*tmp);
387 //_____________________________________________________________________
388 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Bool_t value)
390 TParameter<bool>* ret = new TParameter<bool>(name, value);
391 ret->SetMergeMode('f');
392 ret->SetUniqueID(value);
396 //_____________________________________________________________________
397 void AliForwardUtil::GetParameter(TObject* o, UShort_t& value)
400 TParameter<int>* p = static_cast<TParameter<int>*>(o);
401 if (p->TestBit(BIT(19)))
404 value = o->GetUniqueID();
406 //_____________________________________________________________________
407 void AliForwardUtil::GetParameter(TObject* o, Int_t& value)
410 TParameter<int>* p = static_cast<TParameter<int>*>(o);
411 if (p->TestBit(BIT(19)))
414 value = o->GetUniqueID();
416 //_____________________________________________________________________
417 void AliForwardUtil::GetParameter(TObject* o, ULong_t& value)
420 TParameter<Long_t>* p = static_cast<TParameter<Long_t>*>(o);
421 if (p->TestBit(BIT(19)))
424 value = o->GetUniqueID();
426 //_____________________________________________________________________
427 void AliForwardUtil::GetParameter(TObject* o, Double_t& value)
430 TParameter<double>* p = static_cast<TParameter<double>*>(o);
431 if (p->TestBit(BIT(19)))
432 value = p->GetVal(); // o->GetUniqueID();
434 UInt_t i = o->GetUniqueID();
435 Float_t v = *reinterpret_cast<Float_t*>(&i);
439 //_____________________________________________________________________
440 void AliForwardUtil::GetParameter(TObject* o, Bool_t& value)
443 TParameter<bool>* p = static_cast<TParameter<bool>*>(o);
444 if (p->TestBit(BIT(19)))
445 value = p->GetVal(); // o->GetUniqueID();
447 value = o->GetUniqueID();
451 //_____________________________________________________________________
452 Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip)
456 // Optimized version that has a cache
457 static TArrayD inner;
458 static TArrayD outer;
459 if (inner.GetSize() <= 0 || outer.GetSize() <= 0) {
460 const Double_t minR[] = { 4.5213, 15.4 };
461 const Double_t maxR[] = { 17.2, 28.0 };
462 const Int_t nStr[] = { 512, 256 };
463 for (Int_t q = 0; q < 2; q++) {
464 TArrayD& a = (q == 0 ? inner : outer);
467 for (Int_t it = 0; it < nStr[q]; it++) {
468 Double_t rad = maxR[q] - minR[q];
469 Double_t segment = rad / nStr[q];
470 Double_t r = minR[q] + segment*strip;
475 if (ring == 'I' || ring == 'i') return inner.At(strip);
476 return outer.At(strip);
479 //_____________________________________________________________________
480 Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip)
484 // New implementation has only one branch
485 const Double_t minR[] = { 4.5213, 15.4 };
486 const Double_t maxR[] = { 17.2, 28.0 };
487 const Int_t nStr[] = { 512, 256 };
489 Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1;
490 Double_t rad = maxR[q] - minR[q];
491 Double_t segment = rad / nStr[q];
492 Double_t r = minR[q] + segment*strip;
499 //_____________________________________________________________________
500 Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring,
501 UShort_t sec, UShort_t strip,
504 // Calculate eta from strip with vertex (redundant with
505 // AliESDFMD::Eta but support displaced vertices)
507 // Slightly more optimized version that uses less branching
509 // Get R of the strip
510 Double_t r = GetStripR(ring, strip);
511 Int_t hybrid = sec / 2;
512 Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1;
514 const Double_t zs[][2] = { { 320.266, -999999 },
516 { -63.066, -74.966 } };
517 if (det > 3 || zs[det-1][q] == -999999) return -999999;
519 Double_t z = zs[det-1][q];
520 if ((hybrid % 2) == 0) z -= .5;
522 Double_t theta = TMath::ATan2(r,z-zvtx);
523 Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta));
528 //_____________________________________________________________________
529 Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring,
530 UShort_t sec, UShort_t strip,
533 // Calculate eta from strip with vertex (redundant with
534 // AliESDFMD::Eta but support displaced vertices)
537 Double_t r = GetStripR(ring, strip);
538 Int_t hybrid = sec / 2;
539 Bool_t inner = (ring == 'I' || ring == 'i');
544 case 1: z = 320.266; break;
545 case 2: z = (inner ? 83.666 : 74.966); break;
546 case 3: z = (inner ? -63.066 : -74.966); break;
547 default: return -999999;
549 if ((hybrid % 2) == 0) z -= .5;
551 Double_t theta = TMath::ATan2(r,z-zvtx);
552 Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta));
558 //_____________________________________________________________________
559 Double_t AliForwardUtil::GetPhiFromStrip(Char_t ring, UShort_t strip,
561 Double_t xvtx, Double_t yvtx)
563 // Calculate eta from strip with vertex (redundant with
564 // AliESDFMD::Eta but support displaced vertices)
566 // Unknown x,y -> no change
567 if (yvtx > 999 || xvtx > 999) return phi;
570 Double_t r = GetStripR(ring, strip);
571 Double_t amp = TMath::Sqrt(xvtx*xvtx+yvtx*yvtx) / r;
572 Double_t pha = (TMath::Abs(yvtx) < 1e-12 ? 0 : TMath::ATan2(xvtx, yvtx));
573 Double_t cha = amp * TMath::Cos(phi+pha);
575 if (phi < 0) phi += TMath::TwoPi();
576 if (phi > TMath::TwoPi()) phi -= TMath::TwoPi();
579 //====================================================================
581 AliForwardUtil::MakeFullIpZAxis(Int_t nCenter)
584 MakeFullIpZAxis(nCenter, bins);
585 TAxis* a = new TAxis(bins.GetSize()-1,bins.GetArray());
589 AliForwardUtil::MakeFullIpZAxis(Int_t nCenter, TArrayD& bins)
591 // Custom vertex axis that will include satellite vertices
592 // Satellite vertices are at k*37.5 where k=-10,-9,...,9,10
593 // Nominal vertices are usually in -10 to 10 and we should have
594 // 10 bins in that range. That gives us a total of
598 // or 31 bin boundaries
599 if (nCenter % 2 == 1)
600 // Number of central bins is odd - make it even
602 const Double_t mCenter = 20;
603 const Int_t nSat = 10;
604 const Int_t nBins = 2*nSat + nCenter;
605 const Int_t mBin = nBins / 2;
606 Double_t dCenter = 2*mCenter / nCenter;
609 for (Int_t i = 1; i <= nCenter/2; i++) {
610 // Assign from the middle out
611 Double_t v = i * dCenter;
612 // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-i,mBin+i);
616 for (Int_t i = 1; i <= nSat; i++) {
617 Double_t v = (i+.5) * 37.5;
618 Int_t o = nCenter/2+i;
619 // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-o,mBin+o);
625 AliForwardUtil::MakeLogScale(Int_t nBins,
630 Double_t dO = Double_t(maxOrder-minOrder) / nBins;
632 for (Int_t i = 0; i <= nBins; i++) bins[i] = TMath::Power(10, i * dO);
636 AliForwardUtil::PrintTask(const TObject& o)
638 Int_t ind = gROOT->GetDirLevel();
641 std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush;
643 TString t = TString::Format("%s %s", o.GetName(), o.ClassName());
644 const Int_t maxN = 75;
645 std::cout << "--- " << t << " " << std::setfill('-')
646 << std::setw(maxN-ind-5-t.Length()) << "-" << std::endl;
649 AliForwardUtil::PrintName(const char* name)
651 Int_t ind = gROOT->GetDirLevel();
654 std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush;
656 // Now print field name
657 const Int_t maxN = 29;
658 Int_t width = maxN - ind;
660 if (n.Length() > width-1) {
661 // Truncate the string, and put in "..."
666 std::cout << std::setfill(' ') << std::left << std::setw(width)
667 << n << std::right << std::flush;
670 AliForwardUtil::PrintField(const char* name, const char* value, ...)
674 // Now format the field value
677 static char buf[512];
678 vsnprintf(buf, 511, value, ap);
682 std::cout << buf << std::endl;
685 //====================================================================
686 Int_t AliForwardUtil::fgConvolutionSteps = 100;
687 Double_t AliForwardUtil::fgConvolutionNSigma = 5;
690 // The shift of the most probable value for the ROOT function TMath::Landau
692 const Double_t mpshift = -0.22278298;
694 // Integration normalisation
696 const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi());
699 // Utility function to use in TF1 defintition
701 Double_t landauGaus1(Double_t* xp, Double_t* pp)
704 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
705 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
706 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
707 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
708 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
710 return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigmaN);
713 Double_t landauGausComposite(Double_t* xp, Double_t* pp)
716 Double_t cP = pp[AliForwardUtil::ELossFitter::kC];
717 Double_t deltaP = pp[AliForwardUtil::ELossFitter::kDelta];
718 Double_t xiP = pp[AliForwardUtil::ELossFitter::kXi];
719 Double_t sigmaP = pp[AliForwardUtil::ELossFitter::kSigma];
720 Double_t cS = pp[AliForwardUtil::ELossFitter::kSigma+1];
721 Double_t deltaS = deltaP; // pp[AliForwardUtil::ELossFitter::kSigma+2];
722 Double_t xiS = pp[AliForwardUtil::ELossFitter::kSigma+2/*3*/];
723 Double_t sigmaS = sigmaP; // pp[AliForwardUtil::ELossFitter::kSigma+4];
725 return (cP * AliForwardUtil::LandauGaus(x,deltaP,xiP,sigmaP,0) +
726 cS * AliForwardUtil::LandauGaus(x,deltaS,xiS,sigmaS,0));
730 // Utility function to use in TF1 defintition
732 Double_t landauGausN(Double_t* xp, Double_t* pp)
735 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
736 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
737 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
738 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
739 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
740 Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
741 Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]);
743 return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigmaN,
747 // Utility function to use in TF1 defintition
749 Double_t landauGausI(Double_t* xp, Double_t* pp)
752 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
753 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
754 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
755 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
756 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
757 Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
759 return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
764 //____________________________________________________________________
766 AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi)
769 // Calculate the shifted Landau
771 // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi)
774 // where @f$ f_{L}@f$ is the ROOT implementation of the Landau
775 // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for
776 // @f$\Delta=0,\xi=1@f$.
779 // x Where to evaluate @f$ f'_{L}@f$
780 // delta Most probable value
781 // xi The 'width' of the distribution
784 // @f$ f'_{L}(x;\Delta,\xi) @f$
786 return TMath::Landau(x, delta - xi * mpshift, xi);
788 //____________________________________________________________________
790 AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi,
791 Double_t sigma, Double_t sigmaN)
794 // Calculate the value of a Landau convolved with a Gaussian
797 // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}}
798 // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi)
799 // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}}
802 // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the
803 // energy loss, @f$ \xi@f$ the width of the Landau, and
804 // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the
805 // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling
806 // noise in the detector.
808 // Note that this function uses the constants fgConvolutionSteps and
809 // fgConvolutionNSigma
812 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
813 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
814 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
817 // x where to evaluate @f$ f@f$
818 // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
819 // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
820 // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
821 // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
824 // @f$ f@f$ evaluated at @f$ x@f$.
826 Double_t deltap = delta - xi * mpshift;
827 Double_t sigma2 = sigmaN*sigmaN + sigma*sigma;
828 Double_t sigma1 = sigmaN == 0 ? sigma : TMath::Sqrt(sigma2);
829 Double_t xlow = x - fgConvolutionNSigma * sigma1;
830 Double_t xhigh = x + fgConvolutionNSigma * sigma1;
831 Double_t step = (xhigh - xlow) / fgConvolutionSteps;
834 for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) {
835 Double_t x1 = xlow + (i - .5) * step;
836 Double_t x2 = xhigh - (i - .5) * step;
838 sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1);
839 sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1);
841 return step * sum * invSq2pi / sigma1;
844 //____________________________________________________________________
846 AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi,
847 Double_t sigma, Double_t sigmaN, Int_t i)
852 // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i')
854 // corresponding to @f$ i@f$ particles i.e., with the substitutions
856 // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i))
857 // \xi \rightarrow \xi_i &=& i \xi
858 // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma
859 // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2
863 // x Where to evaluate
864 // delta @f$ \Delta@f$
866 // sigma @f$ \sigma@f$
867 // sigma_n @f$ \sigma_n@f$
871 // @f$ f_i @f$ evaluated
873 Double_t deltaI = (i == 1 ? delta : i * (delta + xi * TMath::Log(i)));
874 Double_t xiI = i * xi;
875 Double_t sigmaI = (i == 1 ? sigma : TMath::Sqrt(Double_t(i))*sigma);
876 if (sigmaI < 1e-10) {
877 // Fall back to landau
878 return AliForwardUtil::Landau(x, deltaI, xiI);
880 return AliForwardUtil::LandauGaus(x, deltaI, xiI, sigmaI, sigmaN);
883 //____________________________________________________________________
885 AliForwardUtil::IdLandauGausdPar(Double_t x,
886 UShort_t par, Double_t dPar,
887 Double_t delta, Double_t xi,
888 Double_t sigma, Double_t sigmaN,
892 // Numerically evaluate
894 // \left.\frac{\partial f_i}{\partial p_i}\right|_{x}
896 // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping
897 // of the parameters is given by
902 // - 3: @f$\sigma_n@f$
904 // This is the partial derivative with respect to the parameter of
905 // the response function corresponding to @f$ i@f$ particles i.e.,
906 // with the substitutions
908 // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i))
909 // \xi \rightarrow \xi_i = i \xi
910 // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma
911 // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2
915 // x Where to evaluate
916 // ipar Parameter number
917 // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$
918 // delta @f$ \Delta@f$
920 // sigma @f$ \sigma@f$
921 // sigma_n @f$ \sigma_n@f$
925 // @f$ f_i@f$ evaluated
927 if (dPar == 0) return 0;
929 Double_t d2 = dPar / 2;
930 Double_t deltaI = i * (delta + xi * TMath::Log(i));
931 Double_t xiI = i * xi;
932 Double_t si = TMath::Sqrt(Double_t(i));
933 Double_t sigmaI = si*sigma;
940 y1 = ILandauGaus(x, deltaI+i*dp, xiI, sigmaI, sigmaN, i);
941 y2 = ILandauGaus(x, deltaI+i*d2, xiI, sigmaI, sigmaN, i);
942 y3 = ILandauGaus(x, deltaI-i*d2, xiI, sigmaI, sigmaN, i);
943 y4 = ILandauGaus(x, deltaI-i*dp, xiI, sigmaI, sigmaN, i);
946 y1 = ILandauGaus(x, deltaI, xiI+i*dp, sigmaI, sigmaN, i);
947 y2 = ILandauGaus(x, deltaI, xiI+i*d2, sigmaI, sigmaN, i);
948 y3 = ILandauGaus(x, deltaI, xiI-i*d2, sigmaI, sigmaN, i);
949 y4 = ILandauGaus(x, deltaI, xiI-i*dp, sigmaI, sigmaN, i);
952 y1 = ILandauGaus(x, deltaI, xiI, sigmaI+si*dp, sigmaN, i);
953 y2 = ILandauGaus(x, deltaI, xiI, sigmaI+si*d2, sigmaN, i);
954 y3 = ILandauGaus(x, deltaI, xiI, sigmaI-si*d2, sigmaN, i);
955 y4 = ILandauGaus(x, deltaI, xiI, sigmaI-si*dp, sigmaN, i);
958 y1 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+dp, i);
959 y2 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+d2, i);
960 y3 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-d2, i);
961 y4 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-dp, i);
967 Double_t d0 = y1 - y4;
968 Double_t d1 = 2 * (y2 - y3);
970 Double_t g = 1/(2*dp) * (4*d1 - d0) / 3;
975 //____________________________________________________________________
977 AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi,
978 Double_t sigma, Double_t sigmaN, Int_t n,
984 // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a)
987 // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a
988 // Landau with a Gaussian (see LandauGaus). Note that
989 // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$,
990 // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$.
993 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
994 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
995 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
998 // x Where to evaluate @f$ f_N@f$
999 // delta @f$ \Delta_1@f$
1001 // sigma @f$ \sigma_1@f$
1002 // sigma_n @f$ \sigma_n@f$
1003 // n @f$ N@f$ in the sum above.
1004 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
1008 // @f$ f_N(x;\Delta,\xi,\sigma')@f$
1010 Double_t result = ILandauGaus(x, delta, xi, sigma, sigmaN, 1);
1011 for (Int_t i = 2; i <= n; i++)
1012 result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
1016 const Int_t kColors[] = { kRed+1,
1030 //____________________________________________________________________
1032 AliForwardUtil::MakeNLandauGaus(Double_t c,
1033 Double_t delta, Double_t xi,
1034 Double_t sigma, Double_t sigmaN, Int_t n,
1036 Double_t xmin, Double_t xmax)
1039 // Generate a TF1 object of @f$ f_N@f$
1043 // delta @f$ \Delta@f$
1045 // sigma @f$ \sigma_1@f$
1046 // sigma_n @f$ \sigma_n@f$
1047 // n @f$ N@f$ - how many particles to sum to
1048 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
1050 // xmin Least value of range
1051 // xmax Largest value of range
1054 // Newly allocated TF1 object
1056 Int_t npar = AliForwardUtil::ELossFitter::kN+n;
1057 TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar);
1058 // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed
1059 landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red
1060 landaun->SetLineWidth(2);
1061 landaun->SetNpx(500);
1062 landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N");
1064 // Set the initial parameters from the seed fit
1065 landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c);
1066 landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
1067 landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
1068 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1069 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
1070 landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n);
1072 // Set the range and name of the scale parameters
1073 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
1074 landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]);
1075 landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i));
1079 //____________________________________________________________________
1081 AliForwardUtil::MakeILandauGaus(Double_t c,
1082 Double_t delta, Double_t xi,
1083 Double_t sigma, Double_t sigmaN, Int_t i,
1084 Double_t xmin, Double_t xmax)
1087 // Generate a TF1 object of @f$ f_I@f$
1091 // delta @f$ \Delta@f$
1093 // sigma @f$ \sigma_1@f$
1094 // sigma_n @f$ \sigma_n@f$
1095 // i @f$ i@f$ - the number of particles
1096 // xmin Least value of range
1097 // xmax Largest value of range
1100 // Newly allocated TF1 object
1102 Int_t npar = AliForwardUtil::ELossFitter::kN+1;
1103 TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar);
1104 // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed
1105 landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red
1106 landaui->SetLineWidth(1);
1107 landaui->SetNpx(500);
1108 landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i");
1110 // Set the initial parameters from the seed fit
1111 landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c);
1112 landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
1113 landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
1114 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1115 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
1116 landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i);
1121 //====================================================================
1122 AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut,
1125 : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins),
1126 fFitResults(0), fFunctions(0), fDebug(false)
1132 // lowCut Lower cut of spectrum - data below this cuts is ignored
1133 // maxRange Maximum range to fit to
1134 // minusBins The number of bins below maximum to use
1136 fFitResults.SetOwner();
1137 fFunctions.SetOwner();
1139 //____________________________________________________________________
1140 AliForwardUtil::ELossFitter::~ELossFitter()
1146 fFitResults.Delete();
1147 fFunctions.Delete();
1149 //____________________________________________________________________
1151 AliForwardUtil::ELossFitter::Clear()
1154 // Clear internal arrays
1157 fFitResults.Clear();
1160 //____________________________________________________________________
1162 AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman)
1165 // Fit a 1-particle signal to the passed energy loss distribution
1167 // Note that this function clears the internal arrays first
1170 // dist Data to fit the function to
1171 // sigman If larger than zero, the initial guess of the
1172 // detector induced noise. If zero or less, then this
1173 // parameter is ignored in the fit (fixed at 0)
1176 // The function fitted to the data
1182 // Find the fit range
1183 // Find the fit range
1184 Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3);
1185 Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange),
1187 dist->GetXaxis()->SetRange(cutBin, maxBin);
1188 // dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange);
1190 // Get the bin with maximum
1191 Int_t peakBin = dist->GetMaximumBin();
1192 Double_t peakE = dist->GetBinLowEdge(peakBin);
1195 // dist->GetXaxis()->SetRangeUser(fLowCut, peakE);
1196 Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin();
1197 Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut);
1198 Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins);
1200 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1201 Int_t maxEb = dist->GetXaxis()->FindBin(maxE);
1202 Double_t intg = dist->Integral(minEb, maxEb);
1204 ::Warning("Fit1Particle",
1205 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1206 dist->GetName(), minE, maxE, minEb, maxEb, intg);
1210 // Restore the range
1211 dist->GetXaxis()->SetRange(1, maxBin);
1213 // Define the function to fit
1214 TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxE,kSigmaN+1);
1216 // Set initial guesses, parameter names, and limits
1217 landau1->SetParameters(1,peakE,peakE/10,peakE/5,sigman);
1218 landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}");
1219 landau1->SetNpx(500);
1220 if (peakE >= minE && peakE <= fMaxRange) {
1221 // printf("Fit1: Set par limits on Delta: %f, %f\n", minE, fMaxRange);
1222 landau1->SetParLimits(kDelta, minE, fMaxRange);
1224 if (peakE/10 >= 0 && peakE <= 0.1) {
1225 // printf("Fit1: Set par limits on xi: %f, %f\n", 0., 0.1);
1226 landau1->SetParLimits(kXi, 0.00, 0.1); // Was fMaxRange - too wide
1228 if (peakE/5 >= 0 && peakE/5 <= 0.1) {
1229 // printf("Fit1: Set par limits on sigma: %f, %f\n", 0., 0.1);
1230 landau1->SetParLimits(kSigma, 1e-5, 0.1); // Was fMaxRange - too wide
1232 if (sigman <= 0) landau1->FixParameter(kSigmaN, 0);
1234 // printf("Fit1: Set par limits on sigmaN: %f, %f\n", 0., fMaxRange);
1235 landau1->SetParLimits(kSigmaN, 0, fMaxRange);
1238 // Do the fit, getting the result object
1240 ::Info("Fit1Particle", "Fitting in the range %f,%f", minE, maxE);
1241 TFitResultPtr r = dist->Fit(landau1, FIT_OPTIONS, "", minE, maxE);
1243 ::Warning("Fit1Particle",
1244 "No fit returned when processing %s in the range [%f,%f] "
1245 "options %s", dist->GetName(), minE, maxE, FIT_OPTIONS);
1248 // landau1->SetRange(minE, fMaxRange);
1249 fFitResults.AddAtAndExpand(new TFitResult(*r), 0);
1250 fFunctions.AddAtAndExpand(landau1, 0);
1254 //____________________________________________________________________
1256 AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n,
1260 // Fit a N-particle signal to the passed energy loss distribution
1262 // If there's no 1-particle fit present, it does that first
1265 // dist Data to fit the function to
1266 // n Number of particle signals to fit
1267 // sigman If larger than zero, the initial guess of the
1268 // detector induced noise. If zero or less, then this
1269 // parameter is ignored in the fit (fixed at 0)
1272 // The function fitted to the data
1275 // Get the seed fit result
1276 TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0));
1277 TF1* f = static_cast<TF1*>(fFunctions.At(0));
1279 f = Fit1Particle(dist, sigman);
1280 r = static_cast<TFitResult*>(fFitResults.At(0));
1282 ::Warning("FitNLandau", "No first shot at landau fit");
1287 // Get some parameters from seed fit
1288 Double_t delta1 = r->Parameter(kDelta);
1289 Double_t xi1 = r->Parameter(kXi);
1290 Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1;
1291 Double_t minE = f->GetXmin();
1293 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1294 Int_t maxEb = dist->GetXaxis()->FindBin(maxEi);
1295 Double_t intg = dist->Integral(minEb, maxEb);
1297 ::Warning("FitNParticle",
1298 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1299 dist->GetName(), minE, maxEi, minEb, maxEb, intg);
1305 for (UShort_t i = 2; i <= n; i++)
1306 a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001);
1307 // Make the fit function
1308 TF1* landaun = MakeNLandauGaus(r->Parameter(kC),
1309 r->Parameter(kDelta),
1311 r->Parameter(kSigma),
1312 r->Parameter(kSigmaN),
1313 n, a.fArray, minE, maxEi);
1314 if (minE <= r->Parameter(kDelta) &&
1315 fMaxRange >= r->Parameter(kDelta)) {
1316 // Protect against warning from ParameterSettings
1317 // printf("FitN: Set par limits on Delta: %f, %f\n", minE, fMaxRange);
1318 landaun->SetParLimits(kDelta, minE, fMaxRange); // Delta
1320 if (r->Parameter(kXi) >= 0 && r->Parameter(kXi) <= 0.1) {
1321 // printf("FitN: Set par limits on xi: %f, %f\n", 0., 0.1);
1322 landaun->SetParLimits(kXi, 0.00, 0.1); // was fMaxRange - too wide
1324 if (r->Parameter(kSigma) >= 1e-5 && r->Parameter(kSigma) <= 0.1) {
1325 // printf("FitN: Set par limits on sigma: %f, %f\n", 1e-5, 0.1);
1326 landaun->SetParLimits(kSigma, 1e-5, 0.1); // was fMaxRange - too wide
1328 // Check if we're using the noise sigma
1329 if (sigman <= 0) landaun->FixParameter(kSigmaN, 0);
1331 // printf("FitN: Set par limits on sigmaN: %f, %f\n", 0., fMaxRange);
1332 landaun->SetParLimits(kSigmaN, 0, fMaxRange);
1335 // Set the range and name of the scale parameters
1336 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
1337 if (a[i-2] >= 0 && a[i-2] <= 1) {
1338 // printf("FitN: Set par limits on a_%d: %f, %f\n", i, 0., 1.);
1339 landaun->SetParLimits(kA+i-2, 0,1);
1345 ::Info("FitNParticle", "Fitting in the range %f,%f (%d)", minE, maxEi, n);
1346 TFitResultPtr tr = dist->Fit(landaun, FIT_OPTIONS, "", minE, maxEi);
1348 // landaun->SetRange(minE, fMaxRange);
1349 fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1);
1350 fFunctions.AddAtAndExpand(landaun, n-1);
1354 //____________________________________________________________________
1356 AliForwardUtil::ELossFitter::FitComposite(TH1* dist, Double_t sigman)
1359 // Fit a composite particle signal to the passed energy loss
1363 // dist Data to fit the function to
1364 // sigman If larger than zero, the initial guess of the
1365 // detector induced noise. If zero or less, then this
1366 // parameter is ignored in the fit (fixed at 0)
1369 // The function fitted to the data
1372 // Find the fit range
1373 Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3);
1374 Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange),
1376 dist->GetXaxis()->SetRange(cutBin, maxBin);
1378 // Get the bin with maximum
1379 Int_t peakBin = dist->GetMaximumBin();
1380 Double_t peakE = dist->GetBinLowEdge(peakBin);
1383 // dist->GetXaxis()->SetRangeUser(fLowCut, peakE);
1384 Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin();
1385 Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut);
1386 Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins);
1388 // Get the range in bins and the integral of that range
1389 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1390 Int_t maxEb = dist->GetXaxis()->FindBin(maxE);
1391 Double_t intg = dist->Integral(minEb, maxEb);
1393 ::Warning("Fit1Particle",
1394 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1395 dist->GetName(), minE, maxE, minEb, maxEb, intg);
1399 // Restore the range
1400 dist->GetXaxis()->SetRange(1, maxBin);
1402 // Define the function to fit
1403 TF1* seed = new TF1("landauSeed", landauGaus1, minE,maxE,kSigmaN+1);
1405 // Set initial guesses, parameter names, and limits
1406 seed->SetParameters(1,peakE,peakE/10,peakE/5,sigman);
1407 seed->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}");
1409 seed->SetParLimits(kDelta, minE, fMaxRange);
1410 seed->SetParLimits(kXi, 0.00, 0.1); // Was fMaxRange - too wide
1411 seed->SetParLimits(kSigma, 1e-5, 0.1); // Was fMaxRange - too wide
1412 if (sigman <= 0) seed->FixParameter(kSigmaN, 0);
1413 else seed->SetParLimits(kSigmaN, 0, fMaxRange);
1415 // Do the fit, getting the result object
1417 ::Info("FitComposite", "Fitting seed in the range %f,%f", minE, maxE);
1418 /* TFitResultPtr r = */ dist->Fit(seed, FIT_OPTIONS, "", minE, maxE);
1420 maxE = dist->GetXaxis()->GetXmax();
1422 TF1* comp = new TF1("composite", landauGausComposite,
1423 minE, maxE, kSigma+1+2);
1424 comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma",
1425 "C#prime", "#xi#prime");
1426 comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight
1427 seed->GetParameter(kDelta), // 1 Primary Delta
1428 seed->GetParameter(kDelta)/10, // 2 primary Xi
1429 seed->GetParameter(kDelta)/5, // 3 primary sigma
1430 1.20 * seed->GetParameter(kC), // 5 Secondary weight
1431 seed->GetParameter(kXi)); // 7 secondary Xi
1432 // comp->SetParLimits(kC, minE, fMaxRange); // C
1433 comp->SetParLimits(kDelta, minE, fMaxRange); // Delta
1434 comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi
1435 comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma
1436 // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C
1437 comp->SetParLimits(kSigma+2, 0.00, fMaxRange); // Xi'
1439 TF1* comp = new TF1("composite", landauGausComposite,
1440 minE, maxE, kSigma+1+4);
1441 comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma",
1442 "C#prime", "#Delta_{p}#prime", "#xi#prime", "#sigma#prim");
1443 comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight
1444 seed->GetParameter(kDelta), // 1 Primary Delta
1445 seed->GetParameter(kDelta)/10, // 2 primary Xi
1446 seed->GetParameter(kDelta)/5, // 3 primary sigma
1447 1.20 * seed->GetParameter(kC), // 5 Secondary weight
1448 seed->GetParameter(kDelta), // 6 secondary Delta
1449 seed->GetParameter(kXi), // 7 secondary Xi
1450 seed->GetParameter(kSigma)); // 8 secondary sigma
1451 // comp->SetParLimits(kC, minE, fMaxRange); // C
1452 comp->SetParLimits(kDelta, minE, fMaxRange); // Delta
1453 comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi
1454 comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma
1455 // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C
1456 comp->SetParLimits(kSigma+2, minE/10, fMaxRange); // Delta
1457 comp->SetParLimits(kSigma+3, 0.00, fMaxRange); // Xi
1458 comp->SetParLimits(kSigma+4, 1e-6, fMaxRange); // Sigma
1460 comp->SetLineColor(kRed+1);
1461 comp->SetLineWidth(3);
1463 // Do the fit, getting the result object
1465 ::Info("FitComposite", "Fitting composite in the range %f,%f", minE, maxE);
1466 /* TFitResultPtr r = */ dist->Fit(comp, FIT_OPTIONS, "", minE, maxE);
1469 TF1* part1 = static_cast<TF1*>(seed->Clone("part1"));
1470 part1->SetLineColor(kGreen+1);
1471 part1->SetLineWidth(4);
1472 part1->SetRange(minE, maxE);
1473 part1->SetParameters(comp->GetParameter(0), // C
1474 comp->GetParameter(1), // Delta
1475 comp->GetParameter(2), // Xi
1476 comp->GetParameter(3), // sigma
1478 part1->Save(minE,maxE,0,0,0,0);
1479 dist->GetListOfFunctions()->Add(part1);
1481 TF1* part2 = static_cast<TF1*>(seed->Clone("part2"));
1482 part2->SetLineColor(kBlue+1);
1483 part2->SetLineWidth(4);
1484 part2->SetRange(minE, maxE);
1485 part2->SetParameters(comp->GetParameter(4), // C
1486 comp->GetParameter(5), // Delta
1487 comp->GetParameter(6), // Xi
1488 comp->GetParameter(7), // sigma
1490 part2->Save(minE,maxE,0,0,0,0);
1491 dist->GetListOfFunctions()->Add(part2);
1496 //====================================================================
1497 AliForwardUtil::Histos::~Histos()
1504 //____________________________________________________________________
1506 AliForwardUtil::Histos::Delete(Option_t* opt)
1508 if (fFMD1i) delete fFMD1i;
1509 if (fFMD2i) delete fFMD2i;
1510 if (fFMD2o) delete fFMD2o;
1511 if (fFMD3i) delete fFMD3i;
1512 if (fFMD3o) delete fFMD3o;
1518 TObject::Delete(opt);
1521 //____________________________________________________________________
1523 AliForwardUtil::Histos::Make(UShort_t d, Char_t r, const TAxis& etaAxis)
1531 // etaAxis Eta axis to use
1534 // Newly allocated histogram
1536 Int_t ns = (r == 'I' || r == 'i') ? 20 : 40;
1538 if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray())
1539 hist = new TH2D(Form("FMD%d%c_cache", d, r),
1540 Form("FMD%d%c cache", d, r),
1541 etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray(),
1542 ns, 0, TMath::TwoPi());
1544 hist = new TH2D(Form("FMD%d%c_cache", d, r),
1545 Form("FMD%d%c cache", d, r),
1546 etaAxis.GetNbins(), etaAxis.GetXmin(),
1547 etaAxis.GetXmax(), ns, 0, TMath::TwoPi());
1548 hist->SetXTitle("#eta");
1549 hist->SetYTitle("#phi [radians]");
1550 hist->SetZTitle("d^{2}N_{ch}/d#etad#phi");
1552 hist->SetDirectory(0);
1556 //____________________________________________________________________
1558 AliForwardUtil::Histos::RebinEta(TH2D* hist, const TAxis& etaAxis)
1560 TAxis* xAxis = hist->GetXaxis();
1561 if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray())
1562 xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray());
1564 xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXmin(), etaAxis.GetXmax());
1569 //____________________________________________________________________
1571 AliForwardUtil::Histos::Init(const TAxis& etaAxis)
1574 // Initialize the object
1577 // etaAxis Eta axis to use
1579 fFMD1i = Make(1, 'I', etaAxis);
1580 fFMD2i = Make(2, 'I', etaAxis);
1581 fFMD2o = Make(2, 'O', etaAxis);
1582 fFMD3i = Make(3, 'I', etaAxis);
1583 fFMD3o = Make(3, 'O', etaAxis);
1585 //____________________________________________________________________
1587 AliForwardUtil::Histos::ReInit(const TAxis& etaAxis)
1590 // Initialize the object
1593 // etaAxis Eta axis to use
1595 if (!fFMD1i) fFMD1i = Make(1, 'i', etaAxis); else RebinEta(fFMD1i, etaAxis);
1596 if (!fFMD2i) fFMD2i = Make(2, 'i', etaAxis); else RebinEta(fFMD2i, etaAxis);
1597 if (!fFMD2o) fFMD2o = Make(2, 'o', etaAxis); else RebinEta(fFMD2o, etaAxis);
1598 if (!fFMD3i) fFMD3i = Make(3, 'i', etaAxis); else RebinEta(fFMD3i, etaAxis);
1599 if (!fFMD3o) fFMD3o = Make(3, 'o', etaAxis); else RebinEta(fFMD3o, etaAxis);
1602 //____________________________________________________________________
1604 AliForwardUtil::Histos::Clear(Option_t* option)
1612 if (fFMD1i) { fFMD1i->Reset(option); fFMD1i->ResetBit(kSkipRing); }
1613 if (fFMD2i) { fFMD2i->Reset(option); fFMD2i->ResetBit(kSkipRing); }
1614 if (fFMD2o) { fFMD2o->Reset(option); fFMD2o->ResetBit(kSkipRing); }
1615 if (fFMD3i) { fFMD3i->Reset(option); fFMD3i->ResetBit(kSkipRing); }
1616 if (fFMD3o) { fFMD3o->Reset(option); fFMD3o->ResetBit(kSkipRing); }
1619 //____________________________________________________________________
1621 AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const
1624 // Get the histogram for a particular detector,ring
1631 // Histogram for detector,ring or nul
1634 case 1: return fFMD1i;
1635 case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o);
1636 case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o);
1640 //====================================================================
1642 AliForwardUtil::RingHistos::DefineOutputList(TList* d) const
1645 // Define the outout list in @a d
1648 // d Where to put the output list
1651 // Newly allocated TList object or null
1654 TList* list = new TList;
1656 list->SetName(fName.Data());
1660 //____________________________________________________________________
1662 AliForwardUtil::RingHistos::GetOutputList(const TList* d) const
1665 // Get our output list from the container @a d
1668 // d where to get the output list from
1671 // The found TList or null
1674 TList* list = static_cast<TList*>(d->FindObject(fName.Data()));
1678 //____________________________________________________________________
1680 AliForwardUtil::RingHistos::GetOutputHist(const TList* d, const char* name) const
1683 // Find a specific histogram in the source list @a d
1686 // d (top)-container
1687 // name Name of histogram
1690 // Found histogram or null
1692 return static_cast<TH1*>(d->FindObject(name));
1695 //====================================================================
1696 AliForwardUtil::DebugGuard::DebugGuard(Int_t lvl, Int_t msgLvl,
1697 const char* format, ...)
1700 if (lvl < msgLvl) return;
1702 va_start(ap, format);
1703 Format(fMsg, format, ap);
1707 //____________________________________________________________________
1708 AliForwardUtil::DebugGuard::~DebugGuard()
1710 if (fMsg.IsNull()) return;
1713 //____________________________________________________________________
1715 AliForwardUtil::DebugGuard::Message(Int_t lvl, Int_t msgLvl,
1716 const char* format, ...)
1718 if (lvl < msgLvl) return;
1721 va_start(ap, format);
1722 Format(msg, format, ap);
1727 //____________________________________________________________________
1729 AliForwardUtil::DebugGuard::Format(TString& out, const char* format, va_list ap)
1731 static char buf[512];
1732 Int_t n = gROOT->GetDirLevel() + 2;
1733 for (Int_t i = 0; i < n; i++) buf[i] = ' ';
1734 vsnprintf(&(buf[n]), 511-n, format, ap);
1738 //____________________________________________________________________
1740 AliForwardUtil::DebugGuard::Output(int in, TString& msg)
1742 msg[0] = (in > 0 ? '>' : in < 0 ? '<' : '=');
1743 AliLog::Message(AliLog::kInfo, msg, 0, 0, "PWGLF/forward", 0, 0);
1744 if (in > 0) gROOT->IncreaseDirLevel();
1745 else if (in < 0) gROOT->DecreaseDirLevel();