1 // **************************************************************************
2 // * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 // * Author: The ALICE Off-line Project. *
5 // * Contributors are mentioned in the code where appropriate. *
7 // * Permission to use, copy, modify and distribute this software and its *
8 // * documentation strictly for non-commercial purposes is hereby granted *
9 // * without fee, provided that the above copyright notice appears in all *
10 // * copies and that both the copyright notice and this permission notice *
11 // * appear in the supporting documentation. The authors make no claims *
12 // * about the suitability of this software for any purpose. It is *
13 // * provided "as is" without express or implied warranty. *
14 // **************************************************************************
15 #include "AliHMPIDParam.h" //class header
16 #include "AliHMPIDDigit.h" //ctor
17 #include "AliLog.h" //general
18 #include <AliRunLoader.h> //Stack()
19 #include <AliStack.h> //Stack()
20 #include "AliCDBManager.h" //ctor
21 #include "AliCDBEntry.h" //ctor
22 #include <TLatex.h> //TestTrans()
23 #include <TView.h> //TestTrans()
24 #include <TPolyMarker3D.h> //TestTrans()
25 #include <TRotation.h>
26 #include <TParticle.h> //Stack()
27 #include <TGeoPhysicalNode.h> //ctor
29 #include <TF1.h> //ctor
31 ClassImp(AliHMPIDParam)
34 // Mathieson constant definition
35 const Double_t AliHMPIDParam::fgkD = 0.222500; // ANODE-CATHODE distance 0.445/2
36 // K3 = 0.66 along the wires (anode-cathode/wire pitch=0.5625)
37 const Double_t AliHMPIDParam::fgkSqrtK3x = TMath::Sqrt(0.66);
38 const Double_t AliHMPIDParam::fgkK2x = TMath::PiOver2()*(1 - 0.5*fgkSqrtK3x);
39 const Double_t AliHMPIDParam::fgkK1x = 0.25*fgkK2x*fgkSqrtK3x/TMath::ATan(fgkSqrtK3x);
40 const Double_t AliHMPIDParam::fgkK4x = fgkK1x/(fgkK2x*fgkSqrtK3x);
41 // K3 = 0.87 along the wires (anode-cathode/wire pitch=0.5625)
42 const Double_t AliHMPIDParam::fgkSqrtK3y = TMath::Sqrt(0.87);
43 const Double_t AliHMPIDParam::fgkK2y = TMath::PiOver2()*(1 - 0.5*fgkSqrtK3y);
44 const Double_t AliHMPIDParam::fgkK1y = 0.25*fgkK2y*fgkSqrtK3y/TMath::ATan(fgkSqrtK3y);
45 const Double_t AliHMPIDParam::fgkK4y = fgkK1y/(fgkK2y*fgkSqrtK3y);
49 Float_t AliHMPIDParam::fgkMinPcX[]={0.,0.,0.,0.,0.,0.};
50 Float_t AliHMPIDParam::fgkMaxPcX[]={0.,0.,0.,0.,0.,0.};
51 Float_t AliHMPIDParam::fgkMinPcY[]={0.,0.,0.,0.,0.,0.};
52 Float_t AliHMPIDParam::fgkMaxPcY[]={0.,0.,0.,0.,0.,0.};
54 Float_t AliHMPIDParam::fgCellX=0.;
55 Float_t AliHMPIDParam::fgCellY=0.;
57 Float_t AliHMPIDParam::fgPcX=0;
58 Float_t AliHMPIDParam::fgPcY=0;
60 Float_t AliHMPIDParam::fgAllX=0;
61 Float_t AliHMPIDParam::fgAllY=0;
63 Bool_t AliHMPIDParam::fgInstanceType=kTRUE;
65 AliHMPIDParam* AliHMPIDParam::fgInstance=0x0; //singleton pointer
67 Int_t AliHMPIDParam::fgSigmas=4;
69 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
70 AliHMPIDParam::AliHMPIDParam(Bool_t noGeo=kFALSE):
71 TNamed("HmpidParam","default version"),
72 fX(0), fY(0), fRefIdx(1.28947),fPhotEMean(6.675),fTemp(25) //just set a refractive index for C6F14 at ephot=6.675 eV @ T=25 C
74 // Here all the intitializition is taken place when AliHMPIDParam::Instance() is invoked for the first time.
75 // In particular, matrices to be used for LORS<->MARS trasnformations are initialized from TGeo structure.
76 // Note that TGeoManager should be already initialized from geometry.root file
78 AliCDBManager *pCDB = AliCDBManager::Instance();
80 AliWarning("No Nmean C6F14 from OCDB. Default is taken from ctor.");
82 AliCDBEntry *pNmeanEnt =pCDB->Get("HMPID/Calib/Nmean"); //contains TObjArray of 42 TF1 + 1 EPhotMean
84 AliWarning("No Nmean C6F14 from OCDB. Default is taken from ctor.");
86 TObjArray *pNmean = (TObjArray*)pNmeanEnt->GetObject();
87 if(pNmean->GetEntries()==43) { //for backward compatibility
89 ((TF1*)pNmean->At(42))->GetRange(tmin,tmax);
90 fPhotEMean = ((TF1*)pNmean->At(42))->Eval(tmin); //photon eMean from OCDB
91 AliInfo(Form("EPhotMean = %f eV successfully loaded from OCDB",fPhotEMean));
93 AliWarning("For backward compatibility EPhotMean is taken from ctor.");
98 fRefIdx = MeanIdxRad(); //initialization of the running ref. index of freon
100 Float_t dead=2.6;// cm of the dead zones between PCs-> See 2CRC2099P1
103 if(noGeo==kTRUE) fgInstanceType=kFALSE; //instance from ideal geometry, no actual geom is present
105 if(noGeo==kFALSE && !gGeoManager)
107 TGeoManager::Import("geometry.root");
108 if(!gGeoManager) AliFatal("!!!!!!No geometry loaded!!!!!!!");
111 fgCellX=0.8;fgCellY=0.84;
114 TGeoVolume *pCellVol = gGeoManager->GetVolume("Hcel");
116 TGeoBBox *bcell = (TGeoBBox *)pCellVol->GetShape();
117 fgCellX=2.*bcell->GetDX(); fgCellY = 2.*bcell->GetDY(); // overwrite the values with the read ones
120 fgPcX=80.*fgCellX; fgPcY = 48.*fgCellY;
121 fgAllX=2.*fgPcX+dead;
122 fgAllY=3.*fgPcY+2.*dead;
124 fgkMinPcX[1]=fgPcX+dead; fgkMinPcX[3]=fgkMinPcX[1]; fgkMinPcX[5]=fgkMinPcX[3];
125 fgkMaxPcX[0]=fgPcX; fgkMaxPcX[2]=fgkMaxPcX[0]; fgkMaxPcX[4]=fgkMaxPcX[2];
126 fgkMaxPcX[1]=fgAllX; fgkMaxPcX[3]=fgkMaxPcX[1]; fgkMaxPcX[5]=fgkMaxPcX[3];
128 fgkMinPcY[2]=fgPcY+dead; fgkMinPcY[3]=fgkMinPcY[2];
129 fgkMinPcY[4]=2.*fgPcY+2.*dead; fgkMinPcY[5]=fgkMinPcY[4];
130 fgkMaxPcY[0]=fgPcY; fgkMaxPcY[1]=fgkMaxPcY[0];
131 fgkMaxPcY[2]=2.*fgPcY+dead; fgkMaxPcY[3]=fgkMaxPcY[2];
132 fgkMaxPcY[4]=fgAllY; fgkMaxPcY[5]=fgkMaxPcY[4];
137 for(Int_t i=kMinCh;i<=kMaxCh;i++)
138 if(gGeoManager && gGeoManager->IsClosed()) {
139 TGeoPNEntry* pne = gGeoManager->GetAlignableEntry(Form("/HMPID/Chamber%i",i));
141 AliErrorClass(Form("The symbolic volume %s does not correspond to any physical entry!",Form("HMPID_%i",i)));
142 fM[i]=new TGeoHMatrix;
143 IdealPosition(i,fM[i]);
145 TGeoPhysicalNode *pnode = pne->GetPhysicalNode();
146 if(pnode) fM[i]=new TGeoHMatrix(*(pnode->GetMatrix()));
148 fM[i]=new TGeoHMatrix;
149 IdealPosition(i,fM[i]);
153 fM[i]=new TGeoHMatrix;
154 IdealPosition(i,fM[i]);
158 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
159 void AliHMPIDParam::Print(Option_t* opt) const
161 // print some usefull (hopefully) info on some internal guts of HMPID parametrisation
163 for(Int_t i=0;i<7;i++) fM[i]->Print(opt);
165 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
166 void AliHMPIDParam::IdealPosition(Int_t iCh, TGeoHMatrix *pMatrix)
168 // Construct ideal position matrix for a given chamber
169 // Arguments: iCh- chamber ID; pMatrix- pointer to precreated unity matrix where to store the results
171 const Double_t kAngHor=19.5; // horizontal angle between chambers 19.5 grad
172 const Double_t kAngVer=20; // vertical angle between chambers 20 grad
173 const Double_t kAngCom=30; // common HMPID rotation with respect to x axis 30 grad
174 const Double_t kTrans[3]={490,0,0}; // center of the chamber is on window-gap surface
175 pMatrix->RotateY(90); // rotate around y since initial position is in XY plane -> now in YZ plane
176 pMatrix->SetTranslation(kTrans); // now plane in YZ is shifted along x
178 case 0: pMatrix->RotateY(kAngHor); pMatrix->RotateZ(-kAngVer); break; //right and down
179 case 1: pMatrix->RotateZ(-kAngVer); break; //down
180 case 2: pMatrix->RotateY(kAngHor); break; //right
181 case 3: break; //no rotation
182 case 4: pMatrix->RotateY(-kAngHor); break; //left
183 case 5: pMatrix->RotateZ(kAngVer); break; //up
184 case 6: pMatrix->RotateY(-kAngHor); pMatrix->RotateZ(kAngVer); break; //left and up
186 pMatrix->RotateZ(kAngCom); //apply common rotation in XY plane
189 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
190 Int_t AliHMPIDParam::Stack(Int_t evt,Int_t tid)
192 // Prints some useful info from stack
193 // Arguments: evt - event number. if not -1 print info only for that event
194 // tid - track id. if not -1 then print it and all it's mothers if any
195 // Returns: mother tid of the given tid if any
196 AliRunLoader *pAL=AliRunLoader::Open();
197 if(pAL->LoadHeader()) return -1;
198 if(pAL->LoadKinematics()) return -1;
201 Int_t iNevt=pAL->GetNumberOfEvents();
203 for(Int_t iEvt=0;iEvt<iNevt;iEvt++){//events loop
204 if(evt!=-1 && evt!=iEvt) continue; //in case one needs to print the requested event, ignore all others
206 AliStack *pStack=pAL->Stack();
207 if(tid==-1){ //print all tids for this event
208 for(Int_t i=0;i<pStack->GetNtrack();i++) pStack->Particle(i)->Print();
209 Printf("totally %i tracks including %i primaries for event %i out of %i event(s)",
210 pStack->GetNtrack(),pStack->GetNprimary(),iEvt,iNevt);
211 }else{ //print only this tid and it;s mothers
212 if(tid<0 || tid>pStack->GetNtrack()) {Printf("Wrong tid, valid tid range for event %i is 0-%i",iEvt,pStack->GetNtrack());break;}
213 TParticle *pTrack=pStack->Particle(tid); mtid=pTrack->GetFirstMother();
214 TString str=pTrack->GetName();
215 while((tid=pTrack->GetFirstMother()) >= 0){
216 pTrack=pStack->Particle(tid);
217 str+=" from ";str+=pTrack->GetName();
221 pAL->UnloadHeader(); pAL->UnloadKinematics();
224 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
225 Int_t AliHMPIDParam::StackCount(Int_t pid,Int_t evt)
227 // Counts total number of particles of given sort (including secondary) for a given event
228 AliRunLoader *pAL=AliRunLoader::Open();
230 if(pAL->LoadHeader()) return 0;
231 if(pAL->LoadKinematics()) return 0;
232 AliStack *pStack=pAL->Stack();
235 for(Int_t i=0;i<pStack->GetNtrack();i++) if(pStack->Particle(i)->GetPdgCode()==pid) iCnt++;
237 pAL->UnloadHeader(); pAL->UnloadKinematics();
240 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
241 Double_t AliHMPIDParam::Sigma2(Double_t trkTheta,Double_t trkPhi,Double_t ckovTh, Double_t ckovPh)
243 // Analithical calculation of total error (as a sum of localization, geometrical and chromatic errors) on Cerenkov angle for a given Cerenkov photon
244 // created by a given MIP. Fromulae according to CERN-EP-2000-058
245 // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
246 // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]
248 // Returns: absolute error on Cerenkov angle, [radians]
250 TVector3 v(-999,-999,-999);
251 Double_t trkBeta = 1./(TMath::Cos(ckovTh)*GetRefIdx());
253 if(trkBeta > 1) trkBeta = 1; //protection against bad measured thetaCer
254 if(trkBeta < 0) trkBeta = 0.0001; //
256 v.SetX(SigLoc (trkTheta,trkPhi,ckovTh,ckovPh,trkBeta));
257 v.SetY(SigGeom(trkTheta,trkPhi,ckovTh,ckovPh,trkBeta));
258 v.SetZ(SigCrom(trkTheta,trkPhi,ckovTh,ckovPh,trkBeta));
262 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
263 Double_t AliHMPIDParam::SigLoc(Double_t trkTheta,Double_t trkPhi,Double_t thetaC, Double_t phiC,Double_t betaM)
265 // Analitical calculation of localization error (due to finite segmentation of PC) on Cerenkov angle for a given Cerenkov photon
266 // created by a given MIP. Fromulae according to CERN-EP-2000-058
267 // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
268 // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]
270 // Returns: absolute error on Cerenkov angle, [radians]
272 Double_t phiDelta = phiC - trkPhi;
274 Double_t sint = TMath::Sin(trkTheta);
275 Double_t cost = TMath::Cos(trkTheta);
276 Double_t sinf = TMath::Sin(trkPhi);
277 Double_t cosf = TMath::Cos(trkPhi);
278 Double_t sinfd = TMath::Sin(phiDelta);
279 Double_t cosfd = TMath::Cos(phiDelta);
280 Double_t tantheta = TMath::Tan(thetaC);
282 Double_t alpha =cost-tantheta*cosfd*sint; // formula (11)
283 Double_t k = 1.-GetRefIdx()*GetRefIdx()+alpha*alpha/(betaM*betaM); // formula (after 8 in the text)
284 if (k<0) return 1e10;
285 Double_t mu =sint*sinf+tantheta*(cost*cosfd*sinf+sinfd*cosf); // formula (10)
286 Double_t e =sint*cosf+tantheta*(cost*cosfd*cosf-sinfd*sinf); // formula (9)
288 Double_t kk = betaM*TMath::Sqrt(k)/(GapThick()*alpha); // formula (6) and (7)
289 Double_t dtdxc = kk*(k*(cosfd*cosf-cost*sinfd*sinf)-(alpha*mu/(betaM*betaM))*sint*sinfd); // formula (6)
290 Double_t dtdyc = kk*(k*(cosfd*sinf+cost*sinfd*cosf)+(alpha* e/(betaM*betaM))*sint*sinfd); // formula (7) pag.4
292 Double_t errX = 0.2,errY=0.25; //end of page 7
293 return TMath::Sqrt(errX*errX*dtdxc*dtdxc + errY*errY*dtdyc*dtdyc);
295 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
296 Double_t AliHMPIDParam::SigCrom(Double_t trkTheta,Double_t trkPhi,Double_t thetaC, Double_t phiC,Double_t betaM)
298 // Analitical calculation of chromatic error (due to lack of knowledge of Cerenkov photon energy) on Cerenkov angle for a given Cerenkov photon
299 // created by a given MIP. Fromulae according to CERN-EP-2000-058
300 // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
301 // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]
303 // Returns: absolute error on Cerenkov angle, [radians]
305 Double_t phiDelta = phiC - trkPhi;
307 Double_t sint = TMath::Sin(trkTheta);
308 Double_t cost = TMath::Cos(trkTheta);
309 Double_t cosfd = TMath::Cos(phiDelta);
310 Double_t tantheta = TMath::Tan(thetaC);
312 Double_t alpha =cost-tantheta*cosfd*sint; // formula (11)
313 Double_t dtdn = cost*GetRefIdx()*betaM*betaM/(alpha*tantheta); // formula (12)
315 // Double_t f = 0.00928*(7.75-5.635)/TMath::Sqrt(12.);
316 Double_t f = 0.0172*(7.75-5.635)/TMath::Sqrt(24.);
320 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
321 Double_t AliHMPIDParam::SigGeom(Double_t trkTheta,Double_t trkPhi,Double_t thetaC, Double_t phiC,Double_t betaM)
323 // Analitical calculation of geometric error (due to lack of knowledge of creation point in radiator) on Cerenkov angle for a given Cerenkov photon
324 // created by a given MIP. Formulae according to CERN-EP-2000-058
325 // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians]
326 // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians]
328 // Returns: absolute error on Cerenkov angle, [radians]
330 Double_t phiDelta = phiC - trkPhi;
332 Double_t sint = TMath::Sin(trkTheta);
333 Double_t cost = TMath::Cos(trkTheta);
334 Double_t sinf = TMath::Sin(trkPhi);
335 Double_t cosfd = TMath::Cos(phiDelta);
336 Double_t costheta = TMath::Cos(thetaC);
337 Double_t tantheta = TMath::Tan(thetaC);
339 Double_t alpha =cost-tantheta*cosfd*sint; // formula (11)
341 Double_t k = 1.-GetRefIdx()*GetRefIdx()+alpha*alpha/(betaM*betaM); // formula (after 8 in the text)
342 if (k<0) return 1e10;
344 Double_t eTr = 0.5*RadThick()*betaM*TMath::Sqrt(k)/(GapThick()*alpha); // formula (14)
345 Double_t lambda = 1.-sint*sint*sinf*sinf; // formula (15)
347 Double_t c1 = 1./(1.+ eTr*k/(alpha*alpha*costheta*costheta)); // formula (13.a)
348 Double_t c2 = betaM*TMath::Power(k,1.5)*tantheta*lambda/(GapThick()*alpha*alpha); // formula (13.b)
349 Double_t c3 = (1.+eTr*k*betaM*betaM)/((1+eTr)*alpha*alpha); // formula (13.c)
350 Double_t c4 = TMath::Sqrt(k)*tantheta*(1-lambda)/(GapThick()*betaM); // formula (13.d)
351 Double_t dtdT = c1 * (c2+c3*c4);
352 Double_t trErr = RadThick()/(TMath::Sqrt(12.)*cost);
356 //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++