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 "RNS"
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)));
67 //____________________________________________________________________
68 ULong_t AliForwardUtil::AliROOTBranch()
70 // Do something here when we switch to git - sigh!
71 #if !defined(ALIROOT_SVN_BRANCH) && !defined(ALIROOT_BRANCH)
74 static ULong_t ret = 0;
75 if (ret != 0) return ret;
78 #ifdef ALIROOT_SVN_BRANCH
79 str = ALIROOT_SVN_BRANCH;
81 #elif defined(ALIROOT_BRANCH)
85 if (str[0] == 'v') str.Remove(0,1);
86 if (str.EqualTo(top)) return ret = 0xFFFFFFFF;
88 TObjArray* tokens = str.Tokenize("-");
89 TObjString* pMajor = static_cast<TObjString*>(tokens->At(0));
90 TObjString* pMinor = static_cast<TObjString*>(tokens->At(1));
91 TObjString* pRelea = (tokens->GetEntries() > 2 ?
92 static_cast<TObjString*>(tokens->At(2)) : 0);
93 TObjString* pAn = (tokens->GetEntries() > 3 ?
94 static_cast<TObjString*>(tokens->At(3)) : 0);
95 TString sMajor = pMajor->String().Strip(TString::kLeading, '0');
96 TString sMinor = pMinor->String().Strip(TString::kLeading, '0');
97 TString sRelea = (pRelea ? pRelea->String() : "");
98 sRelea = sRelea.Strip(TString::kLeading, '0');
100 ret = (((sMajor.Atoi() & 0xFF) << 12) |
101 ((sMinor.Atoi() & 0xFF) << 8) |
102 ((sRelea.Atoi() & 0xFF) << 4) |
108 //====================================================================
110 AliForwardUtil::ParseCollisionSystem(const char* sys)
113 // Parse a collision system spec given in a string. Known values are
115 // - "ppb", "p-pb", "pa", "p-a" which returns kPPb
116 // - "pp", "p-p" which returns kPP
117 // - "PbPb", "Pb-Pb", "A-A", which returns kPbPb
118 // - Everything else gives kUnknown
121 // sys Collision system spec
124 // Collision system id
128 // we do pA first to avoid pp catch on ppb string (AH)
129 if (s.Contains("p-pb") || s.Contains("ppb")) return AliForwardUtil::kPPb;
130 if (s.Contains("p-a") || s.Contains("pa")) return AliForwardUtil::kPPb;
131 if (s.Contains("a-p") || s.Contains("ap")) return AliForwardUtil::kPPb;
132 if (s.Contains("p-p") || s.Contains("pp")) return AliForwardUtil::kPP;
133 if (s.Contains("pb-pb") || s.Contains("pbpb")) return AliForwardUtil::kPbPb;
134 if (s.Contains("a-a") || s.Contains("aa")) return AliForwardUtil::kPbPb;
135 return AliForwardUtil::kUnknown;
137 //____________________________________________________________________
139 AliForwardUtil::CollisionSystemString(UShort_t sys)
142 // Get a string representation of the collision system
145 // sys Collision system
148 // - anything else gives "unknown"
151 // String representation of the collision system
154 case AliForwardUtil::kPP: return "pp";
155 case AliForwardUtil::kPbPb: return "PbPb";
156 case AliForwardUtil::kPPb: return "pPb";
160 //____________________________________________________________________
162 AliForwardUtil::BeamRapidity(Float_t beam, UShort_t z, UShort_t a)
164 const Double_t pMass = 9.38271999999999995e-01;
165 const Double_t nMass = 9.39564999999999984e-01;
166 Double_t beamE = z * beam / 2;
167 Double_t beamM = z * pMass + (a - z) * nMass;
168 Double_t beamP = TMath::Sqrt(beamE * beamE - beamM * beamM);
169 Double_t beamY = .5* TMath::Log((beamE+beamP) / (beamE-beamP));
172 //____________________________________________________________________
174 AliForwardUtil::CenterOfMassEnergy(Float_t beam,
180 // Calculate the center of mass energy given target/projectile
181 // mass and charge numbers
184 return TMath::Sqrt(Float_t(z1*z2)/a1/a2) * beam;
186 //____________________________________________________________________
188 AliForwardUtil::CenterOfMassRapidity(UShort_t z1,
193 // Calculate the center of mass rapidity (shift) given target/projectile
194 // mass and charge numbers
197 if (z2 == z1 && a2 == a1) return 0;
198 return .5 * TMath::Log(Float_t(z1*a2)/z2/a1);
202 UShort_t CheckSNN(Float_t energy)
204 if (TMath::Abs(energy - 900.) < 10) return 900;
205 if (TMath::Abs(energy - 2400.) < 10) return 2400;
206 if (TMath::Abs(energy - 2760.) < 20) return 2760;
207 if (TMath::Abs(energy - 4400.) < 10) return 4400;
208 if (TMath::Abs(energy - 5022.) < 10) return 5023;
209 if (TMath::Abs(energy - 5500.) < 40) return 5500;
210 if (TMath::Abs(energy - 7000.) < 10) return 7000;
211 if (TMath::Abs(energy - 8000.) < 10) return 8000;
212 if (TMath::Abs(energy - 10000.) < 10) return 10000;
213 if (TMath::Abs(energy - 14000.) < 10) return 14000;
217 //____________________________________________________________________
219 AliForwardUtil::ParseCenterOfMassEnergy(UShort_t sys, Float_t beam)
222 // Parse the center of mass energy given as a float and return known
223 // values as a unsigned integer
226 // sys Collision system (needed for AA)
227 // beam Center of mass energy * total charge
230 // Center of mass energy per nucleon
232 Float_t energy = beam;
233 // Below no longer needed apparently
234 // if (sys == AliForwardUtil::kPbPb) energy = energy / 208 * 82;
235 if (sys == AliForwardUtil::kPPb)
236 energy = CenterOfMassEnergy(beam, 82, 208, 1, 1);
237 else if (sys == AliForwardUtil::kPbPb)
238 energy = CenterOfMassEnergy(beam, 82, 208, 82, 208);
239 UShort_t ret = CheckSNN(energy);
240 if (ret > 1) return ret;
241 if (sys == AliForwardUtil::kPbPb || sys == AliForwardUtil::kPPb) {
242 ret = CheckSNN(beam);
246 //____________________________________________________________________
248 AliForwardUtil::CenterOfMassEnergyString(UShort_t cms)
251 // Get a string representation of the center of mass energy per nuclean
254 // cms Center of mass energy per nucleon
257 // String representation of the center of mass energy per nuclean
259 return Form("%04dGeV", cms);
261 //____________________________________________________________________
263 AliForwardUtil::ParseMagneticField(Float_t v)
266 // Parse the magnetic field (in kG) as given by a floating point number
269 // field Magnetic field in kG
272 // Short integer value of magnetic field in kG
274 if (TMath::Abs(v - 5.) < 1 ) return +5;
275 if (TMath::Abs(v + 5.) < 1 ) return -5;
276 if (TMath::Abs(v) < 1) return 0;
279 //____________________________________________________________________
281 AliForwardUtil::MagneticFieldString(Short_t f)
284 // Get a string representation of the magnetic field
287 // field Magnetic field in kG
290 // String representation of the magnetic field
292 return Form("%01dkG", f);
294 //_____________________________________________________________________
295 AliAODEvent* AliForwardUtil::GetAODEvent(AliAnalysisTaskSE* task)
297 // Check if AOD is the output event
298 if (!task) ::Fatal("GetAODEvent", "Null task given, cannot do that");
300 AliAODEvent* ret = task->AODEvent();
303 // Check if AOD is the input event
304 ret = dynamic_cast<AliAODEvent*>(task->InputEvent());
305 if (!ret) ::Warning("GetAODEvent", "No AOD event found");
309 //_____________________________________________________________________
310 UShort_t AliForwardUtil::CheckForAOD()
312 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
313 if (dynamic_cast<AliAODInputHandler*>(am->GetInputEventHandler())) {
314 // ::Info("CheckForAOD", "Found AOD Input handler");
317 if (dynamic_cast<AliAODHandler*>(am->GetOutputEventHandler())) {
318 // ::Info("CheckForAOD", "Found AOD Output handler");
322 ::Warning("CheckForAOD",
323 "Neither and input nor output AOD handler is specified");
326 //_____________________________________________________________________
327 Bool_t AliForwardUtil::CheckForTask(const char* clsOrName, Bool_t cls)
329 AliAnalysisManager* am = AliAnalysisManager::GetAnalysisManager();
331 AliAnalysisTask* t = am->GetTask(clsOrName);
333 ::Warning("CheckForTask", "Task %s not found in manager", clsOrName);
336 ::Info("CheckForTask", "Found task %s", clsOrName);
339 TClass* dep = gROOT->GetClass(clsOrName);
341 ::Warning("CheckForTask", "Unknown class %s for needed task", clsOrName);
344 TIter next(am->GetTasks());
346 while ((o = next())) {
347 if (o->IsA()->InheritsFrom(dep)) {
348 ::Info("CheckForTask", "Found task of class %s: %s",
349 clsOrName, o->GetName());
353 ::Warning("CheckForTask", "No task of class %s was found", clsOrName);
357 //_____________________________________________________________________
358 TObject* AliForwardUtil::MakeParameter(const Char_t* name, UShort_t value)
360 TParameter<int>* ret = new TParameter<int>(name, value);
361 ret->SetMergeMode('f');
362 ret->SetUniqueID(value);
365 //_____________________________________________________________________
366 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Int_t value)
368 TParameter<int>* ret = new TParameter<int>(name, value);
369 ret->SetMergeMode('f');
370 ret->SetUniqueID(value);
373 //_____________________________________________________________________
374 TObject* AliForwardUtil::MakeParameter(const Char_t* name, ULong_t value)
376 TParameter<Long_t>* ret = new TParameter<Long_t>(name, value);
377 ret->SetMergeMode('f');
378 ret->SetUniqueID(value);
381 //_____________________________________________________________________
382 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Double_t value)
384 TParameter<double>* ret = new TParameter<double>(name, value);
385 // Float_t v = value;
386 // UInt_t* tmp = reinterpret_cast<UInt_t*>(&v);
387 ret->SetMergeMode('f');
388 // ret->SetUniqueID(*tmp);
391 //_____________________________________________________________________
392 TObject* AliForwardUtil::MakeParameter(const Char_t* name, Bool_t value)
394 TParameter<bool>* ret = new TParameter<bool>(name, value);
395 ret->SetMergeMode('f');
396 ret->SetUniqueID(value);
400 //_____________________________________________________________________
401 void AliForwardUtil::GetParameter(TObject* o, UShort_t& value)
404 TParameter<int>* p = static_cast<TParameter<int>*>(o);
405 if (p->TestBit(BIT(19)))
408 value = o->GetUniqueID();
410 //_____________________________________________________________________
411 void AliForwardUtil::GetParameter(TObject* o, Int_t& value)
414 TParameter<int>* p = static_cast<TParameter<int>*>(o);
415 if (p->TestBit(BIT(19)))
418 value = o->GetUniqueID();
420 //_____________________________________________________________________
421 void AliForwardUtil::GetParameter(TObject* o, ULong_t& value)
424 TParameter<Long_t>* p = static_cast<TParameter<Long_t>*>(o);
425 if (p->TestBit(BIT(19)))
428 value = o->GetUniqueID();
430 //_____________________________________________________________________
431 void AliForwardUtil::GetParameter(TObject* o, Double_t& value)
434 TParameter<double>* p = static_cast<TParameter<double>*>(o);
435 if (p->TestBit(BIT(19)))
436 value = p->GetVal(); // o->GetUniqueID();
438 UInt_t i = o->GetUniqueID();
439 Float_t v = *reinterpret_cast<Float_t*>(&i);
443 //_____________________________________________________________________
444 void AliForwardUtil::GetParameter(TObject* o, Bool_t& value)
447 TParameter<bool>* p = static_cast<TParameter<bool>*>(o);
448 if (p->TestBit(BIT(19)))
449 value = p->GetVal(); // o->GetUniqueID();
451 value = o->GetUniqueID();
455 //_____________________________________________________________________
456 Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip)
460 // Optimized version that has a cache
461 static TArrayD inner;
462 static TArrayD outer;
463 if (inner.GetSize() <= 0 || outer.GetSize() <= 0) {
464 const Double_t minR[] = { 4.5213, 15.4 };
465 const Double_t maxR[] = { 17.2, 28.0 };
466 const Int_t nStr[] = { 512, 256 };
467 for (Int_t q = 0; q < 2; q++) {
468 TArrayD& a = (q == 0 ? inner : outer);
471 for (Int_t it = 0; it < nStr[q]; it++) {
472 Double_t rad = maxR[q] - minR[q];
473 Double_t segment = rad / nStr[q];
474 Double_t r = minR[q] + segment*strip;
479 if (ring == 'I' || ring == 'i') return inner.At(strip);
480 return outer.At(strip);
483 //_____________________________________________________________________
484 Double_t AliForwardUtil::GetStripR(Char_t ring, UShort_t strip)
488 // New implementation has only one branch
489 const Double_t minR[] = { 4.5213, 15.4 };
490 const Double_t maxR[] = { 17.2, 28.0 };
491 const Int_t nStr[] = { 512, 256 };
493 Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1;
494 Double_t rad = maxR[q] - minR[q];
495 Double_t segment = rad / nStr[q];
496 Double_t r = minR[q] + segment*strip;
503 //_____________________________________________________________________
504 Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring,
505 UShort_t sec, UShort_t strip,
508 // Calculate eta from strip with vertex (redundant with
509 // AliESDFMD::Eta but support displaced vertices)
511 // Slightly more optimized version that uses less branching
513 // Get R of the strip
514 Double_t r = GetStripR(ring, strip);
515 Int_t hybrid = sec / 2;
516 Int_t q = (ring == 'I' || ring == 'i') ? 0 : 1;
518 const Double_t zs[][2] = { { 320.266, -999999 },
520 { -63.066, -74.966 } };
521 if (det > 3 || zs[det-1][q] == -999999) return -999999;
523 Double_t z = zs[det-1][q];
524 if ((hybrid % 2) == 0) z -= .5;
526 Double_t theta = TMath::ATan2(r,z-zvtx);
527 Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta));
532 //_____________________________________________________________________
533 Double_t AliForwardUtil::GetEtaFromStrip(UShort_t det, Char_t ring,
534 UShort_t sec, UShort_t strip,
537 // Calculate eta from strip with vertex (redundant with
538 // AliESDFMD::Eta but support displaced vertices)
541 Double_t r = GetStripR(ring, strip);
542 Int_t hybrid = sec / 2;
543 Bool_t inner = (ring == 'I' || ring == 'i');
548 case 1: z = 320.266; break;
549 case 2: z = (inner ? 83.666 : 74.966); break;
550 case 3: z = (inner ? -63.066 : -74.966); break;
551 default: return -999999;
553 if ((hybrid % 2) == 0) z -= .5;
555 Double_t theta = TMath::ATan2(r,z-zvtx);
556 Double_t eta = -1*TMath::Log(TMath::Tan(0.5*theta));
562 //_____________________________________________________________________
563 Double_t AliForwardUtil::GetPhiFromStrip(Char_t ring, UShort_t strip,
565 Double_t xvtx, Double_t yvtx)
567 // Calculate eta from strip with vertex (redundant with
568 // AliESDFMD::Eta but support displaced vertices)
570 // Unknown x,y -> no change
571 if (yvtx > 999 || xvtx > 999) return phi;
574 Double_t r = GetStripR(ring, strip);
575 Double_t amp = TMath::Sqrt(xvtx*xvtx+yvtx*yvtx) / r;
576 Double_t pha = (TMath::Abs(yvtx) < 1e-12 ? 0 : TMath::ATan2(xvtx, yvtx));
577 Double_t cha = amp * TMath::Cos(phi+pha);
579 if (phi < 0) phi += TMath::TwoPi();
580 if (phi > TMath::TwoPi()) phi -= TMath::TwoPi();
583 //====================================================================
585 AliForwardUtil::MakeFullIpZAxis(Int_t nCenter)
588 MakeFullIpZAxis(nCenter, bins);
589 TAxis* a = new TAxis(bins.GetSize()-1,bins.GetArray());
593 AliForwardUtil::MakeFullIpZAxis(Int_t nCenter, TArrayD& bins)
595 // Custom vertex axis that will include satellite vertices
596 // Satellite vertices are at k*37.5 where k=-10,-9,...,9,10
597 // Nominal vertices are usually in -10 to 10 and we should have
598 // 10 bins in that range. That gives us a total of
602 // or 31 bin boundaries
603 if (nCenter % 2 == 1)
604 // Number of central bins is odd - make it even
606 const Double_t mCenter = 20;
607 const Int_t nSat = 10;
608 const Int_t nBins = 2*nSat + nCenter;
609 const Int_t mBin = nBins / 2;
610 Double_t dCenter = 2*mCenter / nCenter;
613 for (Int_t i = 1; i <= nCenter/2; i++) {
614 // Assign from the middle out
615 Double_t v = i * dCenter;
616 // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-i,mBin+i);
620 for (Int_t i = 1; i <= nSat; i++) {
621 Double_t v = (i+.5) * 37.5;
622 Int_t o = nCenter/2+i;
623 // Printf("Assigning +/-%7.2f to %3d/%3d", v,mBin-o,mBin+o);
629 AliForwardUtil::MakeLogScale(Int_t nBins,
634 Double_t dO = Double_t(maxOrder-minOrder) / nBins;
636 for (Int_t i = 0; i <= nBins; i++) bins[i] = TMath::Power(10, i * dO);
640 AliForwardUtil::PrintTask(const TObject& o)
642 Int_t ind = gROOT->GetDirLevel();
645 std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush;
647 TString t = TString::Format("%s %s", o.GetName(), o.ClassName());
648 const Int_t maxN = 75;
649 std::cout << "--- " << t << " " << std::setfill('-')
650 << std::setw(maxN-ind-5-t.Length()) << "-" << std::endl;
653 AliForwardUtil::PrintName(const char* name)
655 Int_t ind = gROOT->GetDirLevel();
658 std::cout << std::setfill(' ') << std::setw(ind) << " " << std::flush;
660 // Now print field name
661 const Int_t maxN = 29;
662 Int_t width = maxN - ind;
664 if (n.Length() > width-1) {
665 // Truncate the string, and put in "..."
670 std::cout << std::setfill(' ') << std::left << std::setw(width)
671 << n << std::right << std::flush;
674 AliForwardUtil::PrintField(const char* name, const char* value, ...)
678 // Now format the field value
681 static char buf[512];
682 vsnprintf(buf, 511, value, ap);
686 std::cout << buf << std::endl;
689 //====================================================================
690 #if 0 // Moved to separate classes
691 Int_t AliForwardUtil::fgConvolutionSteps = 100;
692 Double_t AliForwardUtil::fgConvolutionNSigma = 5;
695 // The shift of the most probable value for the ROOT function TMath::Landau
697 const Double_t mpshift = -0.22278298;
699 // Integration normalisation
701 const Double_t invSq2pi = 1. / TMath::Sqrt(2*TMath::Pi());
704 // Utility function to use in TF1 defintition
706 Double_t landauGaus1(Double_t* xp, Double_t* pp)
709 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
710 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
711 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
712 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
713 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
715 return constant * AliForwardUtil::LandauGaus(x, delta, xi, sigma, sigmaN);
718 Double_t landauGausComposite(Double_t* xp, Double_t* pp)
721 Double_t cP = pp[AliForwardUtil::ELossFitter::kC];
722 Double_t deltaP = pp[AliForwardUtil::ELossFitter::kDelta];
723 Double_t xiP = pp[AliForwardUtil::ELossFitter::kXi];
724 Double_t sigmaP = pp[AliForwardUtil::ELossFitter::kSigma];
725 Double_t cS = pp[AliForwardUtil::ELossFitter::kSigma+1];
726 Double_t deltaS = deltaP; // pp[AliForwardUtil::ELossFitter::kSigma+2];
727 Double_t xiS = pp[AliForwardUtil::ELossFitter::kSigma+2/*3*/];
728 Double_t sigmaS = sigmaP; // pp[AliForwardUtil::ELossFitter::kSigma+4];
730 return (cP * AliForwardUtil::LandauGaus(x,deltaP,xiP,sigmaP,0) +
731 cS * AliForwardUtil::LandauGaus(x,deltaS,xiS,sigmaS,0));
735 // Utility function to use in TF1 defintition
737 Double_t landauGausN(Double_t* xp, Double_t* pp)
740 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
741 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
742 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
743 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
744 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
745 Int_t n = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
746 Double_t* a = &(pp[AliForwardUtil::ELossFitter::kA]);
748 return constant * AliForwardUtil::NLandauGaus(x, delta, xi, sigma, sigmaN,
752 // Utility function to use in TF1 defintition
754 Double_t landauGausI(Double_t* xp, Double_t* pp)
757 Double_t constant = pp[AliForwardUtil::ELossFitter::kC];
758 Double_t delta = pp[AliForwardUtil::ELossFitter::kDelta];
759 Double_t xi = pp[AliForwardUtil::ELossFitter::kXi];
760 Double_t sigma = pp[AliForwardUtil::ELossFitter::kSigma];
761 Double_t sigmaN = pp[AliForwardUtil::ELossFitter::kSigmaN];
762 Int_t i = Int_t(pp[AliForwardUtil::ELossFitter::kN]);
764 return constant * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
769 //____________________________________________________________________
771 AliForwardUtil::Landau(Double_t x, Double_t delta, Double_t xi)
774 // Calculate the shifted Landau
776 // f'_{L}(x;\Delta,\xi) = f_L(x;\Delta+0.22278298\xi)
779 // where @f$ f_{L}@f$ is the ROOT implementation of the Landau
780 // distribution (known to have @f$ \Delta_{p}=-0.22278298@f$ for
781 // @f$\Delta=0,\xi=1@f$.
784 // x Where to evaluate @f$ f'_{L}@f$
785 // delta Most probable value
786 // xi The 'width' of the distribution
789 // @f$ f'_{L}(x;\Delta,\xi) @f$
791 Double_t deltaP = delta - xi * mpshift;
792 return TMath::Landau(x, deltaP, xi, true);
794 //____________________________________________________________________
796 AliForwardUtil::LandauGaus(Double_t x, Double_t delta, Double_t xi,
797 Double_t sigma, Double_t sigmaN)
800 // Calculate the value of a Landau convolved with a Gaussian
803 // f(x;\Delta,\xi,\sigma') = \frac{1}{\sigma' \sqrt{2 \pi}}
804 // \int_{-\infty}^{+\infty} d\Delta' f'_{L}(x;\Delta',\xi)
805 // \exp{-\frac{(\Delta-\Delta')^2}{2\sigma'^2}}
808 // where @f$ f'_{L}@f$ is the Landau distribution, @f$ \Delta@f$ the
809 // energy loss, @f$ \xi@f$ the width of the Landau, and
810 // @f$ \sigma'^2=\sigma^2-\sigma_n^2 @f$. Here, @f$\sigma@f$ is the
811 // variance of the Gaussian, and @f$\sigma_n@f$ is a parameter modelling
812 // noise in the detector.
814 // Note that this function uses the constants fgConvolutionSteps and
815 // fgConvolutionNSigma
818 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
819 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
820 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
823 // x where to evaluate @f$ f@f$
824 // delta @f$ \Delta@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
825 // xi @f$ \xi@f$ of @f$ f(x;\Delta,\xi,\sigma')@f$
826 // sigma @f$ \sigma@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
827 // sigma_n @f$ \sigma_n@f$ of @f$\sigma'^2=\sigma^2-\sigma_n^2 @f$
830 // @f$ f@f$ evaluated at @f$ x@f$.
832 if (xi <= 0) return 0;
834 Double_t deltaP = delta; // - sigma * sigmaShift; // + sigma * mpshift;
835 Double_t sigma2 = sigmaN*sigmaN + sigma*sigma;
836 Double_t sigma1 = sigmaN == 0 ? sigma : TMath::Sqrt(sigma2);
837 Double_t xlow = x - fgConvolutionNSigma * sigma1;
838 Double_t xhigh = x + fgConvolutionNSigma * sigma1;
839 Double_t step = (xhigh - xlow) / fgConvolutionSteps;
842 for (Int_t i = 0; i <= fgConvolutionSteps/2; i++) {
843 Double_t x1 = xlow + (i - .5) * step;
844 Double_t x2 = xhigh - (i - .5) * step;
846 //sum += TMath::Landau(x1, deltap, xi, kTRUE) * TMath::Gaus(x, x1, sigma1);
847 //sum += TMath::Landau(x2, deltap, xi, kTRUE) * TMath::Gaus(x, x2, sigma1);
848 sum += Landau(x1, deltaP, xi) * TMath::Gaus(x, x1, sigma1);
849 sum += Landau(x2, deltaP, xi) * TMath::Gaus(x, x2, sigma1);
851 return step * sum * invSq2pi / sigma1;
855 const Double_t sigmaShift = 0.36390; // TMath::Log(TMath::Sqrt(2.));
856 double deltaSigmaShift(Int_t i, Double_t sigma)
858 return 0; // - sigma * sigmaShift;
860 void getIPars(Int_t i, Double_t& delta, Double_t& xi, Double_t& sigma)
862 Double_t dsig = deltaSigmaShift(i, sigma);
865 return; // { delta = delta + xi*mpshift; return; } // Do nothing
868 delta = i * (delta + xi * TMath::Log(i)) + dsig;
870 sigma = TMath::Sqrt(Double_t(i)) * sigma;
875 //____________________________________________________________________
877 AliForwardUtil::ILandauGaus(Double_t x, Double_t delta, Double_t xi,
878 Double_t sigma, Double_t sigmaN, Int_t i)
883 // f_i(x;\Delta,\xi,\sigma') = f(x;\Delta_i,\xi_i,\sigma_i')
885 // corresponding to @f$ i@f$ particles i.e., with the substitutions
887 // \Delta \rightarrow \Delta_i &=& i(\Delta + \xi\log(i))
888 // \xi \rightarrow \xi_i &=& i \xi
889 // \sigma \rightarrow \sigma_i &=& \sqrt{i}\sigma
890 // \sigma'^2 \rightarrow \sigma_i'^2 &=& \sigma_n^2 + \sigma_i^2
894 // x Where to evaluate
895 // delta @f$ \Delta@f$
897 // sigma @f$ \sigma@f$
898 // sigma_n @f$ \sigma_n@f$
902 // @f$ f_i @f$ evaluated
904 Double_t deltaI = delta;
906 Double_t sigmaI = sigma;
907 getIPars(i, deltaI, xiI, sigmaI);
908 if (sigmaI < 1e-10) {
909 // Fall back to landau
910 return AliForwardUtil::Landau(x, deltaI, xiI);
912 return AliForwardUtil::LandauGaus(x, deltaI, xiI, sigmaI, sigmaN);
915 //____________________________________________________________________
917 AliForwardUtil::IdLandauGausdPar(Double_t x,
918 UShort_t par, Double_t dPar,
919 Double_t delta, Double_t xi,
920 Double_t sigma, Double_t sigmaN,
924 // Numerically evaluate
926 // \left.\frac{\partial f_i}{\partial p_i}\right|_{x}
928 // where @f$ p_i@f$ is the @f$ i^{\mbox{th}}@f$ parameter. The mapping
929 // of the parameters is given by
934 // - 3: @f$\sigma_n@f$
936 // This is the partial derivative with respect to the parameter of
937 // the response function corresponding to @f$ i@f$ particles i.e.,
938 // with the substitutions
940 // \Delta \rightarrow \Delta_i = i(\Delta + \xi\log(i))
941 // \xi \rightarrow \xi_i = i \xi
942 // \sigma \rightarrow \sigma_i = \sqrt{i}\sigma
943 // \sigma'^2 \rightarrow \sigma_i'^2 = \sigma_n^2 + \sigma_i^2
947 // x Where to evaluate
948 // ipar Parameter number
949 // dp @f$ \epsilon\delta p_i@f$ for some value of @f$\epsilon@f$
950 // delta @f$ \Delta@f$
952 // sigma @f$ \sigma@f$
953 // sigma_n @f$ \sigma_n@f$
957 // @f$ f_i@f$ evaluated
959 if (dPar == 0) return 0;
961 Double_t d2 = dPar / 2;
962 Double_t deltaI = i * (delta + xi * TMath::Log(i));
963 Double_t xiI = i * xi;
964 Double_t si = TMath::Sqrt(Double_t(i));
965 Double_t sigmaI = si*sigma;
972 y1 = ILandauGaus(x, deltaI+i*dp, xiI, sigmaI, sigmaN, i);
973 y2 = ILandauGaus(x, deltaI+i*d2, xiI, sigmaI, sigmaN, i);
974 y3 = ILandauGaus(x, deltaI-i*d2, xiI, sigmaI, sigmaN, i);
975 y4 = ILandauGaus(x, deltaI-i*dp, xiI, sigmaI, sigmaN, i);
978 y1 = ILandauGaus(x, deltaI, xiI+i*dp, sigmaI, sigmaN, i);
979 y2 = ILandauGaus(x, deltaI, xiI+i*d2, sigmaI, sigmaN, i);
980 y3 = ILandauGaus(x, deltaI, xiI-i*d2, sigmaI, sigmaN, i);
981 y4 = ILandauGaus(x, deltaI, xiI-i*dp, sigmaI, sigmaN, i);
984 y1 = ILandauGaus(x, deltaI, xiI, sigmaI+si*dp, sigmaN, i);
985 y2 = ILandauGaus(x, deltaI, xiI, sigmaI+si*d2, sigmaN, i);
986 y3 = ILandauGaus(x, deltaI, xiI, sigmaI-si*d2, sigmaN, i);
987 y4 = ILandauGaus(x, deltaI, xiI, sigmaI-si*dp, sigmaN, i);
990 y1 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+dp, i);
991 y2 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN+d2, i);
992 y3 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-d2, i);
993 y4 = ILandauGaus(x, deltaI, xiI, sigmaI, sigmaN-dp, i);
999 Double_t d0 = y1 - y4;
1000 Double_t d1 = 2 * (y2 - y3);
1002 Double_t g = 1/(2*dp) * (4*d1 - d0) / 3;
1007 //____________________________________________________________________
1009 AliForwardUtil::NLandauGaus(Double_t x, Double_t delta, Double_t xi,
1010 Double_t sigma, Double_t sigmaN, Int_t n,
1016 // f_N(x;\Delta,\xi,\sigma') = \sum_{i=1}^N a_i f_i(x;\Delta,\xi,\sigma'a)
1019 // where @f$ f(x;\Delta,\xi,\sigma')@f$ is the convolution of a
1020 // Landau with a Gaussian (see LandauGaus). Note that
1021 // @f$ a_1 = 1@f$, @f$\Delta_i = i(\Delta_1 + \xi\log(i))@f$,
1022 // @f$\xi_i=i\xi_1@f$, and @f$\sigma_i'^2 = \sigma_n^2 + i\sigma_1^2@f$.
1025 // - <a href="http://dx.doi.org/10.1016/0168-583X(84)90472-5">Nucl.Instrum.Meth.B1:16</a>
1026 // - <a href="http://dx.doi.org/10.1103/PhysRevA.28.615">Phys.Rev.A28:615</a>
1027 // - <a href="http://root.cern.ch/root/htmldoc/tutorials/fit/langaus.C.html">ROOT implementation</a>
1030 // x Where to evaluate @f$ f_N@f$
1031 // delta @f$ \Delta_1@f$
1033 // sigma @f$ \sigma_1@f$
1034 // sigma_n @f$ \sigma_n@f$
1035 // n @f$ N@f$ in the sum above.
1036 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
1040 // @f$ f_N(x;\Delta,\xi,\sigma')@f$
1042 Double_t result = ILandauGaus(x, delta, xi, sigma, sigmaN, 1);
1043 for (Int_t i = 2; i <= n; i++)
1044 result += a[i-2] * AliForwardUtil::ILandauGaus(x,delta,xi,sigma,sigmaN,i);
1048 const Int_t kColors[] = { kRed+1,
1062 //____________________________________________________________________
1064 AliForwardUtil::MakeNLandauGaus(Double_t c,
1065 Double_t delta, Double_t xi,
1066 Double_t sigma, Double_t sigmaN, Int_t n,
1068 Double_t xmin, Double_t xmax)
1071 // Generate a TF1 object of @f$ f_N@f$
1075 // delta @f$ \Delta@f$
1077 // sigma @f$ \sigma_1@f$
1078 // sigma_n @f$ \sigma_n@f$
1079 // n @f$ N@f$ - how many particles to sum to
1080 // a Array of size @f$ N-1@f$ of the weights @f$ a_i@f$ for
1082 // xmin Least value of range
1083 // xmax Largest value of range
1086 // Newly allocated TF1 object
1088 Int_t npar = AliForwardUtil::ELossFitter::kN+n;
1089 TF1* landaun = new TF1(Form("nlandau%d", n), &landauGausN,xmin,xmax,npar);
1090 // landaun->SetLineStyle(((n-2) % 10)+2); // start at dashed
1091 landaun->SetLineColor(kColors[((n-1) % 12)]); // start at red
1092 landaun->SetLineWidth(2);
1093 landaun->SetNpx(500);
1094 landaun->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "N");
1096 // Set the initial parameters from the seed fit
1097 landaun->SetParameter(AliForwardUtil::ELossFitter::kC, c);
1098 landaun->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
1099 landaun->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
1100 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1101 landaun->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
1102 landaun->FixParameter(AliForwardUtil::ELossFitter::kN, n);
1104 // Set the range and name of the scale parameters
1105 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
1106 landaun->SetParameter(AliForwardUtil::ELossFitter::kA+i-2, a[i-2]);
1107 landaun->SetParName(AliForwardUtil::ELossFitter::kA+i-2, Form("a_{%d}", i));
1111 //____________________________________________________________________
1113 AliForwardUtil::MakeILandauGaus(Double_t c,
1114 Double_t delta, Double_t xi,
1115 Double_t sigma, Double_t sigmaN, Int_t i,
1116 Double_t xmin, Double_t xmax)
1119 // Generate a TF1 object of @f$ f_I@f$
1123 // delta @f$ \Delta@f$
1125 // sigma @f$ \sigma_1@f$
1126 // sigma_n @f$ \sigma_n@f$
1127 // i @f$ i@f$ - the number of particles
1128 // xmin Least value of range
1129 // xmax Largest value of range
1132 // Newly allocated TF1 object
1134 Int_t npar = AliForwardUtil::ELossFitter::kN+1;
1135 TF1* landaui = new TF1(Form("ilandau%d", i), &landauGausI,xmin,xmax,npar);
1136 // landaui->SetLineStyle(((i-2) % 10)+2); // start at dashed
1137 landaui->SetLineColor(kColors[((i-1) % 12)]); // start at red
1138 landaui->SetLineWidth(1);
1139 landaui->SetNpx(500);
1140 landaui->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}", "i");
1142 // Set the initial parameters from the seed fit
1143 landaui->SetParameter(AliForwardUtil::ELossFitter::kC, c);
1144 landaui->SetParameter(AliForwardUtil::ELossFitter::kDelta, delta);
1145 landaui->SetParameter(AliForwardUtil::ELossFitter::kXi, xi);
1146 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigma, sigma);
1147 landaui->SetParameter(AliForwardUtil::ELossFitter::kSigmaN, sigmaN);
1148 landaui->FixParameter(AliForwardUtil::ELossFitter::kN, i);
1153 //====================================================================
1154 AliForwardUtil::ELossFitter::ELossFitter(Double_t lowCut,
1157 : fLowCut(lowCut), fMaxRange(maxRange), fMinusBins(minusBins),
1158 fFitResults(0), fFunctions(0), fDebug(false)
1164 // lowCut Lower cut of spectrum - data below this cuts is ignored
1165 // maxRange Maximum range to fit to
1166 // minusBins The number of bins below maximum to use
1168 fFitResults.SetOwner();
1169 fFunctions.SetOwner();
1171 //____________________________________________________________________
1172 AliForwardUtil::ELossFitter::~ELossFitter()
1178 fFitResults.Delete();
1179 fFunctions.Delete();
1181 //____________________________________________________________________
1183 AliForwardUtil::ELossFitter::Clear()
1186 // Clear internal arrays
1189 fFitResults.Clear();
1193 void setParLimit(TF1* f, Int_t iPar, Bool_t debug,
1194 Double_t test, Double_t low, Double_t high)
1196 if (test >= low && test <= high) {
1198 printf("Fit: Set par limits on %s: %f, %f\n",
1199 f->GetParName(iPar), low, high);
1200 f->SetParLimits(iPar, low, high);
1205 //____________________________________________________________________
1207 AliForwardUtil::ELossFitter::Fit1Particle(TH1* dist, Double_t sigman)
1210 // Fit a 1-particle signal to the passed energy loss distribution
1212 // Note that this function clears the internal arrays first
1215 // dist Data to fit the function to
1216 // sigman If larger than zero, the initial guess of the
1217 // detector induced noise. If zero or less, then this
1218 // parameter is ignored in the fit (fixed at 0)
1221 // The function fitted to the data
1227 // Find the fit range
1228 // Find the fit range
1229 Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3);
1230 Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange),
1232 dist->GetXaxis()->SetRange(cutBin, maxBin);
1233 // dist->GetXaxis()->SetRangeUser(fLowCut, fMaxRange);
1235 // Get the bin with maximum
1236 Int_t peakBin = dist->GetMaximumBin();
1237 Double_t peakE = dist->GetBinLowEdge(peakBin);
1238 Double_t rmsE = dist->GetRMS();
1241 // dist->GetXaxis()->SetRangeUser(fLowCut, peakE);
1242 Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin();
1243 Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut);
1244 Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins);
1246 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1247 Int_t maxEb = dist->GetXaxis()->FindBin(maxE);
1248 Double_t intg = dist->Integral(minEb, maxEb);
1250 ::Warning("Fit1Particle",
1251 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1252 dist->GetName(), minE, maxE, minEb, maxEb, intg);
1256 // Restore the range
1257 dist->GetXaxis()->SetRange(1, maxBin);
1259 // Define the function to fit
1260 TF1* landau1 = new TF1("landau1", landauGaus1, minE,maxE,kSigmaN+1);
1262 // Set initial guesses, parameter names, and limits
1263 landau1->SetParameters(intg,peakE,peakE/10,peakE/5,sigman);
1264 landau1->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}");
1265 landau1->SetNpx(500);
1266 setParLimit(landau1, kDelta, fDebug, peakE, minE, fMaxRange);
1267 setParLimit(landau1, kXi, fDebug, peakE, 0, rmsE); // 0.1
1268 setParLimit(landau1, kSigma, fDebug, peakE/5, 1e-5, rmsE); // 0.1
1269 if (sigman <= 0) landau1->FixParameter(kSigmaN, 0);
1271 setParLimit(landau1, kSigmaN, fDebug, peakE, 0, rmsE);
1274 TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q"));
1275 // Do the fit, getting the result object
1277 ::Info("Fit1Particle", "Fitting in the range %f,%f", minE, maxE);
1278 TFitResultPtr r = dist->Fit(landau1, opts, "", minE, maxE);
1280 ::Warning("Fit1Particle",
1281 "No fit returned when processing %s in the range [%f,%f] "
1282 "options %s", dist->GetName(), minE, maxE, FIT_OPTIONS);
1285 // landau1->SetRange(minE, fMaxRange);
1286 fFitResults.AddAtAndExpand(new TFitResult(*r), 0);
1287 fFunctions.AddAtAndExpand(landau1, 0);
1291 //____________________________________________________________________
1293 AliForwardUtil::ELossFitter::FitNParticle(TH1* dist, UShort_t n,
1297 // Fit a N-particle signal to the passed energy loss distribution
1299 // If there's no 1-particle fit present, it does that first
1302 // dist Data to fit the function to
1303 // n Number of particle signals to fit
1304 // sigman If larger than zero, the initial guess of the
1305 // detector induced noise. If zero or less, then this
1306 // parameter is ignored in the fit (fixed at 0)
1309 // The function fitted to the data
1312 // Get the seed fit result
1313 TFitResult* r = static_cast<TFitResult*>(fFitResults.At(0));
1314 TF1* f = static_cast<TF1*>(fFunctions.At(0));
1316 f = Fit1Particle(dist, sigman);
1317 r = static_cast<TFitResult*>(fFitResults.At(0));
1319 ::Warning("FitNLandau", "No first shot at landau fit");
1324 // Get some parameters from seed fit
1325 Double_t delta1 = r->Parameter(kDelta);
1326 Double_t xi1 = r->Parameter(kXi);
1327 Double_t maxEi = n * (delta1 + xi1 * TMath::Log(n)) + 2 * n * xi1;
1328 Double_t minE = f->GetXmin();
1330 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1331 Int_t maxEb = dist->GetXaxis()->FindBin(maxEi);
1332 Double_t rmsE = dist->GetRMS();
1333 Double_t intg = dist->Integral(minEb, maxEb);
1335 ::Warning("FitNParticle",
1336 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1337 dist->GetName(), minE, maxEi, minEb, maxEb, intg);
1343 for (UShort_t i = 2; i <= n; i++)
1344 a.fArray[i-2] = (n == 2 ? 0.05 : 0.000001);
1345 // Make the fit function
1346 TF1* landaun = MakeNLandauGaus(r->Parameter(kC),
1347 r->Parameter(kDelta),
1349 r->Parameter(kSigma),
1350 r->Parameter(kSigmaN),
1351 n, a.fArray, minE, maxEi);
1352 setParLimit(landaun, kDelta, fDebug, r->Parameter(kDelta), minE, fMaxRange);
1353 setParLimit(landaun, kXi, fDebug, r->Parameter(kXi), 0, rmsE); // 0.1
1354 setParLimit(landaun, kSigma, fDebug, r->Parameter(kSigma), 1e-5, rmsE); // 0.1
1355 if (sigman <= 0) landaun->FixParameter(kSigmaN, 0);
1357 setParLimit(landaun, kSigmaN, fDebug, r->Parameter(kSigmaN), 0, rmsE);
1359 // Set the range and name of the scale parameters
1360 for (UShort_t i = 2; i <= n; i++) {// Take parameters from last fit
1361 setParLimit(landaun, kA+i-2, fDebug, a[i-2], 0, 1);
1365 TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q"));
1367 ::Info("FitNParticle", "Fitting in the range %f,%f (%d)", minE, maxEi, n);
1368 TFitResultPtr tr = dist->Fit(landaun, opts, "", minE, maxEi);
1370 // landaun->SetRange(minE, fMaxRange);
1371 fFitResults.AddAtAndExpand(new TFitResult(*tr), n-1);
1372 fFunctions.AddAtAndExpand(landaun, n-1);
1376 //____________________________________________________________________
1378 AliForwardUtil::ELossFitter::FitComposite(TH1* dist, Double_t sigman)
1381 // Fit a composite particle signal to the passed energy loss
1384 // dist Data to fit the function to
1385 // sigman If larger than zero, the initial guess of the
1386 // detector induced noise. If zero or less, then this
1387 // parameter is ignored in the fit (fixed at 0)
1390 // The function fitted to the data
1393 // Find the fit range
1394 Int_t cutBin = TMath::Max(dist->GetXaxis()->FindBin(fLowCut),3);
1395 Int_t maxBin = TMath::Min(dist->GetXaxis()->FindBin(fMaxRange),
1397 dist->GetXaxis()->SetRange(cutBin, maxBin);
1399 // Get the bin with maximum
1400 Int_t peakBin = dist->GetMaximumBin();
1401 Double_t peakE = dist->GetBinLowEdge(peakBin);
1404 // dist->GetXaxis()->SetRangeUser(fLowCut, peakE);
1405 Int_t minBin = peakBin - fMinusBins; // dist->GetMinimumBin();
1406 Double_t minE = TMath::Max(dist->GetBinCenter(minBin),fLowCut);
1407 Double_t maxE = dist->GetBinCenter(peakBin+2*fMinusBins);
1409 // Get the range in bins and the integral of that range
1410 Int_t minEb = dist->GetXaxis()->FindBin(minE);
1411 Int_t maxEb = dist->GetXaxis()->FindBin(maxE);
1412 Double_t intg = dist->Integral(minEb, maxEb);
1414 ::Warning("Fit1Particle",
1415 "Integral of %s between [%f,%f] [%03d,%03d] = %f < 0",
1416 dist->GetName(), minE, maxE, minEb, maxEb, intg);
1420 // Restore the range
1421 dist->GetXaxis()->SetRange(1, maxBin);
1423 // Define the function to fit
1424 TF1* seed = new TF1("landauSeed", landauGaus1, minE,maxE,kSigmaN+1);
1426 // Set initial guesses, parameter names, and limits
1427 seed->SetParameters(1,peakE,peakE/10,peakE/5,sigman);
1428 seed->SetParNames("C","#Delta_{p}","#xi", "#sigma", "#sigma_{n}");
1430 seed->SetParLimits(kDelta, minE, fMaxRange);
1431 seed->SetParLimits(kXi, 0.00, 0.1); // Was fMaxRange - too wide
1432 seed->SetParLimits(kSigma, 1e-5, 0.1); // Was fMaxRange - too wide
1433 if (sigman <= 0) seed->FixParameter(kSigmaN, 0);
1434 else seed->SetParLimits(kSigmaN, 0, fMaxRange);
1436 // Do the fit, getting the result object
1438 ::Info("FitComposite", "Fitting seed in the range %f,%f", minE, maxE);
1439 /* TFitResultPtr r = */ dist->Fit(seed, FIT_OPTIONS, "", minE, maxE);
1441 maxE = dist->GetXaxis()->GetXmax();
1443 TF1* comp = new TF1("composite", landauGausComposite,
1444 minE, maxE, kSigma+1+2);
1445 comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma",
1446 "C#prime", "#xi#prime");
1447 comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight
1448 seed->GetParameter(kDelta), // 1 Primary Delta
1449 seed->GetParameter(kDelta)/10, // 2 primary Xi
1450 seed->GetParameter(kDelta)/5, // 3 primary sigma
1451 1.20 * seed->GetParameter(kC), // 5 Secondary weight
1452 seed->GetParameter(kXi)); // 7 secondary Xi
1453 // comp->SetParLimits(kC, minE, fMaxRange); // C
1454 comp->SetParLimits(kDelta, minE, fMaxRange); // Delta
1455 comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi
1456 comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma
1457 // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C
1458 comp->SetParLimits(kSigma+2, 0.00, fMaxRange); // Xi'
1460 TF1* comp = new TF1("composite", landauGausComposite,
1461 minE, maxE, kSigma+1+4);
1462 comp->SetParNames("C", "#Delta_{p}", "#xi", "#sigma",
1463 "C#prime", "#Delta_{p}#prime", "#xi#prime", "#sigma#prim");
1464 comp->SetParameters(0.8 * seed->GetParameter(kC), // 0 Primary weight
1465 seed->GetParameter(kDelta), // 1 Primary Delta
1466 seed->GetParameter(kDelta)/10, // 2 primary Xi
1467 seed->GetParameter(kDelta)/5, // 3 primary sigma
1468 1.20 * seed->GetParameter(kC), // 5 Secondary weight
1469 seed->GetParameter(kDelta), // 6 secondary Delta
1470 seed->GetParameter(kXi), // 7 secondary Xi
1471 seed->GetParameter(kSigma)); // 8 secondary sigma
1472 // comp->SetParLimits(kC, minE, fMaxRange); // C
1473 comp->SetParLimits(kDelta, minE, fMaxRange); // Delta
1474 comp->SetParLimits(kXi, 0.00, fMaxRange); // Xi
1475 comp->SetParLimits(kSigma, 1e-5, fMaxRange); // Sigma
1476 // comp->SetParLimits(kSigma+1, minE, fMaxRange); // C
1477 comp->SetParLimits(kSigma+2, minE/10, fMaxRange); // Delta
1478 comp->SetParLimits(kSigma+3, 0.00, fMaxRange); // Xi
1479 comp->SetParLimits(kSigma+4, 1e-6, fMaxRange); // Sigma
1481 comp->SetLineColor(kRed+1);
1482 comp->SetLineWidth(3);
1484 // Do the fit, getting the result object
1485 TString opts(Form("%s%s", FIT_OPTIONS, fDebug ? "" : "Q"));
1487 ::Info("FitComposite", "Fitting composite in the range %f,%f", minE, maxE);
1488 /* TFitResultPtr r = */ dist->Fit(comp, opts, "", minE, maxE);
1491 TF1* part1 = static_cast<TF1*>(seed->Clone("part1"));
1492 part1->SetLineColor(kGreen+1);
1493 part1->SetLineWidth(4);
1494 part1->SetRange(minE, maxE);
1495 part1->SetParameters(comp->GetParameter(0), // C
1496 comp->GetParameter(1), // Delta
1497 comp->GetParameter(2), // Xi
1498 comp->GetParameter(3), // sigma
1500 part1->Save(minE,maxE,0,0,0,0);
1501 dist->GetListOfFunctions()->Add(part1);
1503 TF1* part2 = static_cast<TF1*>(seed->Clone("part2"));
1504 part2->SetLineColor(kBlue+1);
1505 part2->SetLineWidth(4);
1506 part2->SetRange(minE, maxE);
1507 part2->SetParameters(comp->GetParameter(4), // C
1508 comp->GetParameter(5), // Delta
1509 comp->GetParameter(6), // Xi
1510 comp->GetParameter(7), // sigma
1512 part2->Save(minE,maxE,0,0,0,0);
1513 dist->GetListOfFunctions()->Add(part2);
1519 //====================================================================
1520 AliForwardUtil::Histos::~Histos()
1527 //____________________________________________________________________
1529 AliForwardUtil::Histos::Delete(Option_t* opt)
1531 if (fFMD1i) delete fFMD1i;
1532 if (fFMD2i) delete fFMD2i;
1533 if (fFMD2o) delete fFMD2o;
1534 if (fFMD3i) delete fFMD3i;
1535 if (fFMD3o) delete fFMD3o;
1541 TObject::Delete(opt);
1544 //____________________________________________________________________
1546 AliForwardUtil::Histos::Make(UShort_t d, Char_t r, const TAxis& etaAxis)
1554 // etaAxis Eta axis to use
1557 // Newly allocated histogram
1559 Int_t ns = (r == 'I' || r == 'i') ? 20 : 40;
1561 if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray())
1562 hist = new TH2D(Form("FMD%d%c_cache", d, r),
1563 Form("FMD%d%c cache", d, r),
1564 etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray(),
1565 ns, 0, TMath::TwoPi());
1567 hist = new TH2D(Form("FMD%d%c_cache", d, r),
1568 Form("FMD%d%c cache", d, r),
1569 etaAxis.GetNbins(), etaAxis.GetXmin(),
1570 etaAxis.GetXmax(), ns, 0, TMath::TwoPi());
1571 hist->SetXTitle("#eta");
1572 hist->SetYTitle("#phi [radians]");
1573 hist->SetZTitle("d^{2}N_{ch}/d#etad#phi");
1575 hist->SetDirectory(0);
1579 //____________________________________________________________________
1581 AliForwardUtil::Histos::RebinEta(TH2D* hist, const TAxis& etaAxis)
1583 TAxis* xAxis = hist->GetXaxis();
1584 if (etaAxis.GetXbins() && etaAxis.GetXbins()->GetArray())
1585 xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXbins()->GetArray());
1587 xAxis->Set(etaAxis.GetNbins(), etaAxis.GetXmin(), etaAxis.GetXmax());
1592 //____________________________________________________________________
1594 AliForwardUtil::Histos::Init(const TAxis& etaAxis)
1597 // Initialize the object
1600 // etaAxis Eta axis to use
1602 fFMD1i = Make(1, 'I', etaAxis);
1603 fFMD2i = Make(2, 'I', etaAxis);
1604 fFMD2o = Make(2, 'O', etaAxis);
1605 fFMD3i = Make(3, 'I', etaAxis);
1606 fFMD3o = Make(3, 'O', etaAxis);
1608 //____________________________________________________________________
1610 AliForwardUtil::Histos::ReInit(const TAxis& etaAxis)
1613 // Initialize the object
1616 // etaAxis Eta axis to use
1618 if (!fFMD1i) fFMD1i = Make(1, 'i', etaAxis); else RebinEta(fFMD1i, etaAxis);
1619 if (!fFMD2i) fFMD2i = Make(2, 'i', etaAxis); else RebinEta(fFMD2i, etaAxis);
1620 if (!fFMD2o) fFMD2o = Make(2, 'o', etaAxis); else RebinEta(fFMD2o, etaAxis);
1621 if (!fFMD3i) fFMD3i = Make(3, 'i', etaAxis); else RebinEta(fFMD3i, etaAxis);
1622 if (!fFMD3o) fFMD3o = Make(3, 'o', etaAxis); else RebinEta(fFMD3o, etaAxis);
1625 //____________________________________________________________________
1627 AliForwardUtil::Histos::Clear(Option_t* option)
1635 if (fFMD1i) { fFMD1i->Reset(option); fFMD1i->ResetBit(kSkipRing); }
1636 if (fFMD2i) { fFMD2i->Reset(option); fFMD2i->ResetBit(kSkipRing); }
1637 if (fFMD2o) { fFMD2o->Reset(option); fFMD2o->ResetBit(kSkipRing); }
1638 if (fFMD3i) { fFMD3i->Reset(option); fFMD3i->ResetBit(kSkipRing); }
1639 if (fFMD3o) { fFMD3o->Reset(option); fFMD3o->ResetBit(kSkipRing); }
1642 //____________________________________________________________________
1644 AliForwardUtil::Histos::Get(UShort_t d, Char_t r) const
1647 // Get the histogram for a particular detector,ring
1654 // Histogram for detector,ring or nul
1657 case 1: return fFMD1i;
1658 case 2: return (r == 'I' || r == 'i' ? fFMD2i : fFMD2o);
1659 case 3: return (r == 'I' || r == 'i' ? fFMD3i : fFMD3o);
1663 //====================================================================
1665 AliForwardUtil::RingHistos::DefineOutputList(TList* d) const
1668 // Define the outout list in @a d
1671 // d Where to put the output list
1674 // Newly allocated TList object or null
1677 TList* list = new TList;
1679 list->SetName(fName.Data());
1683 //____________________________________________________________________
1685 AliForwardUtil::RingHistos::GetOutputList(const TList* d) const
1688 // Get our output list from the container @a d
1691 // d where to get the output list from
1694 // The found TList or null
1697 TList* list = static_cast<TList*>(d->FindObject(fName.Data()));
1701 //____________________________________________________________________
1703 AliForwardUtil::RingHistos::GetOutputHist(const TList* d, const char* name) const
1706 // Find a specific histogram in the source list @a d
1709 // d (top)-container
1710 // name Name of histogram
1713 // Found histogram or null
1715 return static_cast<TH1*>(d->FindObject(name));
1718 //====================================================================
1719 AliForwardUtil::DebugGuard::DebugGuard(Int_t lvl, Int_t msgLvl,
1720 const char* format, ...)
1723 if (lvl < msgLvl) return;
1725 va_start(ap, format);
1726 Format(fMsg, format, ap);
1730 //____________________________________________________________________
1731 AliForwardUtil::DebugGuard::~DebugGuard()
1733 if (fMsg.IsNull()) return;
1736 //____________________________________________________________________
1738 AliForwardUtil::DebugGuard::Message(Int_t lvl, Int_t msgLvl,
1739 const char* format, ...)
1741 if (lvl < msgLvl) return;
1744 va_start(ap, format);
1745 Format(msg, format, ap);
1750 //____________________________________________________________________
1752 AliForwardUtil::DebugGuard::Format(TString& out, const char* format, va_list ap)
1754 static char buf[512];
1755 Int_t n = gROOT->GetDirLevel() + 2;
1756 for (Int_t i = 0; i < n; i++) buf[i] = ' ';
1757 vsnprintf(&(buf[n]), 511-n, format, ap);
1761 //____________________________________________________________________
1763 AliForwardUtil::DebugGuard::Output(int in, TString& msg)
1765 msg[0] = (in > 0 ? '>' : in < 0 ? '<' : '=');
1766 AliLog::Message(AliLog::kInfo, msg, 0, 0, "PWGLF/forward", 0, 0);
1767 if (in > 0) gROOT->IncreaseDirLevel();
1768 else if (in < 0) gROOT->DecreaseDirLevel();