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d3da6dc4 | 1 | /************************************************************************** |
2 | * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. * | |
3 | * * | |
4 | * Author: The ALICE Off-line Project. * | |
5 | * Contributors are mentioned in the code where appropriate. * | |
6 | * * | |
7 | * Permission to use, copy, modify and distribute this software and its * | |
8 | * documentation strictly for non-commercial purposes is hereby granted * | |
9 | * without fee, provided that the above copyright notice appears in all * | |
10 | * copies and that both the copyright notice and this permission notice * | |
11 | * appear in the supporting documentation. The authors make no claims * | |
12 | * about the suitability of this software for any purpose. It is * | |
13 | * provided "as is" without express or implied warranty. * | |
14 | **************************************************************************/ | |
15 | ||
16 | ////////////////////////////////////////////////////////////////////////// | |
17 | // // | |
18 | // AliHMPIDRecon // | |
19 | // // | |
20 | // HMPID class to perfom pattern recognition based on Hough transfrom // | |
21 | // for single chamber // | |
22 | ////////////////////////////////////////////////////////////////////////// | |
23 | ||
a591e55f | 24 | #include "AliHMPIDRecon.h" //class header |
25 | #include "AliHMPIDParam.h" //CkovAngle() | |
d3da6dc4 | 26 | #include "AliHMPIDCluster.h" //CkovAngle() |
43400d2d | 27 | #include <TMinuit.h> //FitEllipse() |
a591e55f | 28 | #include <TRotation.h> //TracePhot() |
29 | #include <TH1D.h> //HoughResponse() | |
30 | #include <TClonesArray.h> //CkovAngle() | |
31 | #include <AliESDtrack.h> //CkovAngle() | |
d3da6dc4 | 32 | |
33 | const Double_t AliHMPIDRecon::fgkRadThick=1.5; | |
34 | const Double_t AliHMPIDRecon::fgkWinThick=0.5; | |
35 | const Double_t AliHMPIDRecon::fgkGapThick=8.0; | |
d3da6dc4 | 36 | const Double_t AliHMPIDRecon::fgkWinIdx =1.5787; |
37 | const Double_t AliHMPIDRecon::fgkGapIdx =1.0005; | |
38 | ||
d3da6dc4 | 39 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
40 | AliHMPIDRecon::AliHMPIDRecon():TTask("RichRec","RichPat"), | |
abb5f786 | 41 | fRadNmean(1.292), |
d3da6dc4 | 42 | fPhotCnt(-1), |
43 | fCkovSigma2(0), | |
44 | fIsWEIGHT(kFALSE), | |
45 | fDTheta(0.001), | |
46 | fWindowWidth(0.045), | |
47 | fTrkDir(TVector3(0,0,1)),fTrkPos(TVector2(30,40)) | |
48 | { | |
49 | // main ctor | |
50 | for (Int_t i=0; i<3000; i++) { | |
51 | fPhotFlag[i] = 0; | |
52 | fPhotCkov[i] = -1; | |
53 | fPhotPhi [i] = -1; | |
54 | fPhotWei [i] = 0; | |
55 | } | |
611e810d | 56 | //hidden algorithm |
5b2b2013 | 57 | fMipX=fMipY=fThTrkFit=fPhTrkFit=fCkovFit=fMipQ=fRadX=fRadY=-999; |
611e810d | 58 | fIdxMip=fNClu=0; |
3b49956b | 59 | fCkovSig2=0; |
5b2b2013 | 60 | for (Int_t i=0; i<100; i++) { |
611e810d | 61 | fXClu[i] = fYClu[i] = 0; |
5b2b2013 | 62 | fClCk[i] = kTRUE; |
611e810d | 63 | } |
d3da6dc4 | 64 | } |
65 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
afe12692 | 66 | void AliHMPIDRecon::CkovAngle(AliESDtrack *pTrk,TClonesArray *pCluLst,Double_t nmean,Double_t qthre) |
d3da6dc4 | 67 | { |
68 | // Pattern recognition method based on Hough transform | |
59280a5a | 69 | // Arguments: pTrk - track for which Ckov angle is to be found |
70 | // pCluLst - list of clusters for this chamber | |
71 | // Returns: - track ckov angle, [rad], | |
a591e55f | 72 | |
73 | AliHMPIDParam *pParam=AliHMPIDParam::Instance(); | |
d3da6dc4 | 74 | |
a591e55f | 75 | if(pCluLst->GetEntries()>pParam->MultCut()) fIsWEIGHT = kTRUE; // offset to take into account bkg in reconstruction |
76 | else fIsWEIGHT = kFALSE; | |
d3da6dc4 | 77 | |
611e810d | 78 | Float_t xRa,yRa,th,ph; |
a591e55f | 79 | pTrk->GetHMPIDtrk(xRa,yRa,th,ph); //initialize this track: th and ph angles at middle of RAD |
a591e55f | 80 | SetTrack(xRa,yRa,th,ph); |
611e810d | 81 | |
abb5f786 | 82 | fRadNmean=nmean; |
d3da6dc4 | 83 | |
59280a5a | 84 | Float_t dMin=999,mipX=-1,mipY=-1;Int_t chId=-1,mipId=-1,mipQ=-1; |
d3da6dc4 | 85 | fPhotCnt=0; |
86 | for (Int_t iClu=0; iClu<pCluLst->GetEntriesFast();iClu++){//clusters loop | |
87 | AliHMPIDCluster *pClu=(AliHMPIDCluster*)pCluLst->UncheckedAt(iClu); //get pointer to current cluster | |
59280a5a | 88 | chId=pClu->Ch(); |
afe12692 | 89 | if(pClu->Q()>qthre){ //charge compartible with MIP clusters |
a591e55f | 90 | Float_t dX=fPc.X()-pClu->X(),dY=fPc.Y()-pClu->Y(),d =TMath::Sqrt(dX*dX+dY*dY); //distance between current cluster and intersection point |
91 | if( d < dMin) {mipId=iClu; dMin=d;mipX=pClu->X();mipY=pClu->Y();mipQ=(Int_t)pClu->Q();} //current cluster is closer, overwrite data for min cluster | |
92 | }else{ //charge compatible with photon cluster | |
93 | Double_t thetaCer,phiCer; | |
94 | if(FindPhotCkov(pClu->X(),pClu->Y(),thetaCer,phiCer)){ //find ckov angle for this photon candidate | |
95 | fPhotCkov[fPhotCnt]=thetaCer; //actual theta Cerenkov (in TRS) | |
b4ad85e9 | 96 | fPhotPhi [fPhotCnt]=phiCer; //actual phi Cerenkov (in TRS): -pi to come back to "unusual" ref system (X,Y,-Z) |
28500fe1 | 97 | //PH Printf("photon n. %i reconstructed theta = %f",fPhotCnt,fPhotCkov[fPhotCnt]); |
a591e55f | 98 | fPhotCnt++; //increment counter of photon candidates |
99 | } | |
59280a5a | 100 | } |
d3da6dc4 | 101 | }//clusters loop |
76fd1a96 | 102 | if(fPhotCnt<=3) pTrk->SetHMPIDsignal(kNoPhotAccept); //no reconstruction with <=3 photon candidates |
a591e55f | 103 | Int_t iNacc=FlagPhot(HoughResponse()); //flag photons according to individual theta ckov with respect to most probable |
104 | pTrk->SetHMPIDmip(mipX,mipY,mipQ,iNacc); //store mip info | |
59280a5a | 105 | |
a591e55f | 106 | if(mipId==-1) {pTrk->SetHMPIDsignal(kMipQdcCut); return;} //no clusters with QDC more the threshold at all |
107 | if(dMin>pParam->DistCut()) {pTrk->SetHMPIDsignal(kMipDistCut); return;} //closest cluster with enough charge is still too far from intersection | |
108 | pTrk->SetHMPIDcluIdx(chId,mipId); //set index of cluster | |
76fd1a96 | 109 | if(iNacc<1){ |
110 | pTrk->SetHMPIDsignal(kNoPhotAccept); //no photon candidates is accepted | |
111 | } | |
112 | else { | |
113 | pTrk->SetHMPIDsignal(FindRingCkov(pCluLst->GetEntries())); //find best Theta ckov for ring i.e. track | |
114 | pTrk->SetHMPIDchi2(fCkovSigma2); //errors squared | |
115 | } | |
d3da6dc4 | 116 | |
43400d2d | 117 | }//CkovAngle() |
d3da6dc4 | 118 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
a591e55f | 119 | Bool_t AliHMPIDRecon::FindPhotCkov(Double_t cluX,Double_t cluY,Double_t &thetaCer,Double_t &phiCer) |
d3da6dc4 | 120 | { |
121 | // Finds Cerenkov angle for this photon candidate | |
122 | // Arguments: cluX,cluY - position of cadidate's cluster | |
a591e55f | 123 | // Returns: Cerenkov angle |
d3da6dc4 | 124 | |
a591e55f | 125 | TVector3 dirCkov; |
126 | ||
67a1c24c | 127 | Double_t zRad= -0.5*fgkRadThick-0.5*fgkWinThick; //z position of middle of RAD |
128 | TVector3 rad(fTrkPos.X(),fTrkPos.Y(),zRad); //impact point at middle of RAD | |
129 | TVector3 pc(cluX,cluY,0.5*fgkWinThick+fgkGapIdx); //mip at PC | |
a591e55f | 130 | Double_t cluR = TMath::Sqrt((cluX-fTrkPos.X())*(cluX-fTrkPos.X())+ |
131 | (cluY-fTrkPos.Y())*(cluY-fTrkPos.Y()));//ref. distance impact RAD-CLUSTER | |
67a1c24c | 132 | Double_t phi=(pc-rad).Phi(); //phi of photon |
a591e55f | 133 | |
b4ad85e9 | 134 | Double_t ckov1=0; |
67a1c24c | 135 | Double_t ckov2=0.75+fTrkDir.Theta(); //start to find theta cerenkov in DRS |
b4ad85e9 | 136 | const Double_t kTol=0.01; |
d3da6dc4 | 137 | Int_t iIterCnt = 0; |
138 | while(1){ | |
a591e55f | 139 | if(iIterCnt>=50) return kFALSE; |
d3da6dc4 | 140 | Double_t ckov=0.5*(ckov1+ckov2); |
67a1c24c | 141 | dirCkov.SetMagThetaPhi(1,ckov,phi); |
a591e55f | 142 | TVector2 posC=TraceForward(dirCkov); //trace photon with actual angles |
143 | Double_t dist=cluR-(posC-fTrkPos).Mod(); //get distance between trial point and cluster position | |
144 | if(posC.X()==-999) dist = - 999; //total reflection problem | |
145 | iIterCnt++; //counter step | |
b4ad85e9 | 146 | if (dist> kTol) ckov1=ckov; //cluster @ larger ckov |
d3da6dc4 | 147 | else if(dist<-kTol) ckov2=ckov; //cluster @ smaller ckov |
a591e55f | 148 | else{ //precision achived: ckov in DRS found |
149 | dirCkov.SetMagThetaPhi(1,ckov,phi); // | |
150 | RecPhot(dirCkov,thetaCer,phiCer); //find ckov (in TRS:the effective Cherenkov angle!) | |
151 | return kTRUE; | |
152 | } | |
d3da6dc4 | 153 | } |
154 | }//FindPhotTheta() | |
155 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
a591e55f | 156 | TVector2 AliHMPIDRecon::TraceForward(TVector3 dirCkov)const |
d3da6dc4 | 157 | { |
a591e55f | 158 | //Trace forward a photon from (x,y) up to PC |
159 | // Arguments: dirCkov photon vector in LORS | |
160 | // Returns: pos of traced photon at PC | |
161 | TVector2 pos(-999,-999); | |
67a1c24c | 162 | Double_t thetaCer = dirCkov.Theta(); |
163 | if(thetaCer > TMath::ASin(1./fRadNmean)) return pos; //total refraction on WIN-GAP boundary | |
164 | Double_t zRad= -0.5*fgkRadThick-0.5*fgkWinThick; //z position of middle of RAD | |
165 | TVector3 posCkov(fTrkPos.X(),fTrkPos.Y(),zRad); //RAD: photon position is track position @ middle of RAD | |
166 | Propagate(dirCkov,posCkov, -0.5*fgkWinThick); //go to RAD-WIN boundary | |
167 | Refract (dirCkov, fRadNmean,fgkWinIdx); //RAD-WIN refraction | |
168 | Propagate(dirCkov,posCkov, 0.5*fgkWinThick); //go to WIN-GAP boundary | |
169 | Refract (dirCkov, fgkWinIdx,fgkGapIdx); //WIN-GAP refraction | |
170 | Propagate(dirCkov,posCkov,0.5*fgkWinThick+fgkGapThick); //go to PC | |
a591e55f | 171 | pos.Set(posCkov.X(),posCkov.Y()); |
172 | return pos; | |
173 | }//TraceForward() | |
174 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
175 | void AliHMPIDRecon::RecPhot(TVector3 dirCkov,Double_t &thetaCer,Double_t &phiCer) | |
176 | { | |
177 | //Theta Cerenkov reconstruction | |
178 | // Arguments: (x,y) of initial point in LORS, dirCkov photon vector in LORS | |
179 | // Returns: thetaCer theta cerenkov reconstructed | |
180 | // TVector3 dirTrk; | |
181 | // dirTrk.SetMagThetaPhi(1,fTrkDir.Theta(),fTrkDir.Phi()); | |
182 | // Double_t thetaCer = TMath::ACos(dirCkov*dirTrk); | |
183 | TRotation mtheta; mtheta.RotateY(- fTrkDir.Theta()); | |
184 | TRotation mphi; mphi.RotateZ(- fTrkDir.Phi()); | |
185 | TRotation mrot=mtheta*mphi; | |
186 | TVector3 dirCkovTRS; | |
187 | dirCkovTRS=mrot*dirCkov; | |
188 | phiCer = dirCkovTRS.Phi(); //actual value of the phi of the photon | |
189 | thetaCer= dirCkovTRS.Theta(); //actual value of thetaCerenkov of the photon | |
d3da6dc4 | 190 | } |
191 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
afe12692 | 192 | Double_t AliHMPIDRecon::FindRingArea(Double_t ckovAngMin,Double_t ckovAngMax)const |
d3da6dc4 | 193 | { |
afe12692 | 194 | // Find area between 2 cerenkov angles in the PC acceptance |
195 | // Arguments: ckovAngMin - cerenkov angle Min | |
196 | // Arguments: ckovAngMax - cerenkov angle Max | |
d3da6dc4 | 197 | // Returns: area of the ring in cm^2 for given theta ckov |
198 | ||
d3da6dc4 | 199 | const Int_t kN=100; |
afe12692 | 200 | Int_t np=0; |
201 | Double_t xP[2*kN],yP[2*kN]; | |
7fc88c5e | 202 | |
afe12692 | 203 | Double_t area=0; |
204 | //--- find points from first ring | |
205 | for(Int_t i=0;i<kN;i++){ | |
206 | TVector2 pos=TracePhot(ckovAngMin,Double_t(TMath::TwoPi()*(i+1)/kN));//trace the next photon | |
207 | if(pos.X()==-999) continue; //no area: open ring | |
208 | if(AliHMPIDParam::IsInside(pos.X(),pos.Y(),0)) continue; | |
209 | xP[np] = pos.X(); | |
210 | yP[np] = pos.Y(); | |
211 | np++; | |
212 | } | |
213 | //--- find points from last ring | |
214 | for(Int_t i=kN-1;i>=0;i--){ | |
215 | TVector2 pos=TracePhot(ckovAngMax,Double_t(TMath::TwoPi()*(i+1)/kN));//trace the next photon | |
216 | if(pos.X()==-999) continue; | |
217 | if(AliHMPIDParam::IsInside(pos.X(),pos.Y(),0)) continue; | |
218 | xP[np] = pos.X(); | |
219 | yP[np] = pos.Y(); | |
220 | np++; | |
d3da6dc4 | 221 | } |
afe12692 | 222 | //--calculate delta area from array of points... |
223 | // for(Int_t i=0;i<np;i++) { | |
224 | area = 1; | |
7fc88c5e | 225 | area*=0.5; |
d3da6dc4 | 226 | return area; |
227 | }//FindRingArea() | |
228 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
229 | Double_t AliHMPIDRecon::FindRingCkov(Int_t) | |
230 | { | |
231 | // Loops on all Ckov candidates and estimates the best Theta Ckov for a ring formed by those candidates. Also estimates an error for that Theat Ckov | |
232 | // collecting errors for all single Ckov candidates thetas. (Assuming they are independent) | |
233 | // Arguments: iNclus- total number of clusters in chamber for background estimation | |
234 | // Return: best estimation of track Theta ckov | |
235 | ||
236 | Double_t wei = 0.; | |
237 | Double_t weightThetaCerenkov = 0.; | |
238 | ||
239 | Double_t ckovMin=9999.,ckovMax=0.; | |
240 | Double_t sigma2 = 0; //to collect error squared for this ring | |
241 | ||
242 | for(Int_t i=0;i<fPhotCnt;i++){//candidates loop | |
243 | if(fPhotFlag[i] == 2){ | |
a591e55f | 244 | if(fPhotCkov[i]<ckovMin) ckovMin=fPhotCkov[i]; //find max and min Theta ckov from all candidates within probable window |
d3da6dc4 | 245 | if(fPhotCkov[i]>ckovMax) ckovMax=fPhotCkov[i]; |
a591e55f | 246 | weightThetaCerenkov += fPhotCkov[i]*fPhotWei[i]; |
247 | wei += fPhotWei[i]; //collect weight as sum of all candidate weghts | |
d3da6dc4 | 248 | |
d3da6dc4 | 249 | sigma2 += 1./Sigma2(fPhotCkov[i],fPhotPhi[i]); |
250 | } | |
251 | }//candidates loop | |
252 | ||
253 | if(sigma2>0) fCkovSigma2=1./sigma2; | |
254 | else fCkovSigma2=1e10; | |
255 | ||
b4ad85e9 | 256 | if(wei != 0.) weightThetaCerenkov /= wei; else weightThetaCerenkov = 0.; |
d3da6dc4 | 257 | return weightThetaCerenkov; |
258 | }//FindCkovRing() | |
259 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
260 | Int_t AliHMPIDRecon::FlagPhot(Double_t ckov) | |
261 | { | |
262 | // Flag photon candidates if their individual ckov angle is inside the window around ckov angle returned by HoughResponse() | |
263 | // Arguments: ckov- value of most probable ckov angle for track as returned by HoughResponse() | |
264 | // Returns: number of photon candidates happened to be inside the window | |
265 | ||
a591e55f | 266 | // Photon Flag: Flag = 0 initial set; |
267 | // Flag = 1 good candidate (charge compatible with photon); | |
268 | // Flag = 2 photon used for the ring; | |
d3da6dc4 | 269 | |
270 | Int_t steps = (Int_t)((ckov )/ fDTheta); //how many times we need to have fDTheta to fill the distance between 0 and thetaCkovHough | |
271 | ||
272 | Double_t tmin = (Double_t)(steps - 1)*fDTheta; | |
273 | Double_t tmax = (Double_t)(steps)*fDTheta; | |
274 | Double_t tavg = 0.5*(tmin+tmax); | |
275 | ||
276 | tmin = tavg - 0.5*fWindowWidth; tmax = tavg + 0.5*fWindowWidth; | |
277 | ||
278 | Int_t iInsideCnt = 0; //count photons which Theta ckov inside the window | |
279 | for(Int_t i=0;i<fPhotCnt;i++){//photon candidates loop | |
afe12692 | 280 | fPhotFlag[i] = 0; |
d3da6dc4 | 281 | if(fPhotCkov[i] >= tmin && fPhotCkov[i] <= tmax) { |
282 | fPhotFlag[i]=2; | |
283 | iInsideCnt++; | |
284 | } | |
285 | } | |
286 | return iInsideCnt; | |
287 | }//FlagPhot() | |
288 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
a591e55f | 289 | TVector2 AliHMPIDRecon::TracePhot(Double_t ckovThe,Double_t ckovPhi)const |
d3da6dc4 | 290 | { |
291 | // Trace a single Ckov photon from emission point somewhere in radiator up to photocathode taking into account ref indexes of materials it travereses | |
a591e55f | 292 | // Arguments: ckovThe,ckovPhi- photon ckov angles in DRS, [rad] |
d3da6dc4 | 293 | // Returns: distance between photon point on PC and track projection |
294 | TRotation mtheta; mtheta.RotateY(fTrkDir.Theta()); | |
295 | TRotation mphi; mphi.RotateZ(fTrkDir.Phi()); | |
296 | TRotation mrot=mphi*mtheta; | |
a591e55f | 297 | TVector3 dirCkov,dirCkovTors; |
298 | ||
299 | dirCkovTors.SetMagThetaPhi(1,ckovThe,ckovPhi); //initially photon is directed according to requested ckov angle | |
300 | dirCkov=mrot*dirCkovTors; //now we know photon direction in LORS | |
301 | return TraceForward(dirCkov); | |
302 | }//TracePhot() | |
d3da6dc4 | 303 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
a591e55f | 304 | void AliHMPIDRecon::Propagate(const TVector3 dir,TVector3 &pos,Double_t z)const |
d3da6dc4 | 305 | { |
306 | // Finds an intersection point between a line and XY plane shifted along Z. | |
307 | // Arguments: dir,pos - vector along the line and any point of the line | |
308 | // z - z coordinate of plain | |
309 | // Returns: none | |
310 | // On exit: pos is the position if this intesection if any | |
311 | static TVector3 nrm(0,0,1); | |
312 | TVector3 pnt(0,0,z); | |
313 | ||
314 | TVector3 diff=pnt-pos; | |
315 | Double_t sint=(nrm*diff)/(nrm*dir); | |
316 | pos+=sint*dir; | |
317 | }//Propagate() | |
318 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
319 | void AliHMPIDRecon::Refract(TVector3 &dir,Double_t n1,Double_t n2)const | |
320 | { | |
321 | // Refract direction vector according to Snell law | |
322 | // Arguments: | |
323 | // n1 - ref idx of first substance | |
324 | // n2 - ref idx of second substance | |
325 | // Returns: none | |
326 | // On exit: dir is new direction | |
67a1c24c | 327 | Double_t sinref=(n1/n2)*TMath::Sin(dir.Theta()); |
76fd1a96 | 328 | if(TMath::Abs(sinref)>1.) dir.SetXYZ(-999,-999,-999); |
67a1c24c | 329 | else dir.SetTheta(TMath::ASin(sinref)); |
d3da6dc4 | 330 | }//Refract() |
331 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
332 | Double_t AliHMPIDRecon::HoughResponse() | |
333 | { | |
334 | // | |
611e810d | 335 | // fIdxMip = mipId; |
336 | ||
d3da6dc4 | 337 | // |
338 | Double_t kThetaMax=0.75; | |
339 | Int_t nChannels = (Int_t)(kThetaMax/fDTheta+0.5); | |
340 | TH1D *phots = new TH1D("Rphot" ,"phots" ,nChannels,0,kThetaMax); | |
341 | TH1D *photsw = new TH1D("RphotWeighted" ,"photsw" ,nChannels,0,kThetaMax); | |
342 | TH1D *resultw = new TH1D("resultw","resultw" ,nChannels,0,kThetaMax); | |
343 | Int_t nBin = (Int_t)(kThetaMax/fDTheta); | |
344 | Int_t nCorrBand = (Int_t)(fWindowWidth/(2*fDTheta)); | |
345 | ||
346 | for (Int_t i=0; i< fPhotCnt; i++){//photon cadidates loop | |
347 | Double_t angle = fPhotCkov[i]; if(angle<0||angle>kThetaMax) continue; | |
348 | phots->Fill(angle); | |
349 | Int_t bin = (Int_t)(0.5+angle/(fDTheta)); | |
350 | Double_t weight=1.; | |
351 | if(fIsWEIGHT){ | |
afe12692 | 352 | Double_t lowerlimit = ((Double_t)bin)*fDTheta - 0.5*fDTheta; Double_t upperlimit = ((Double_t)bin)*fDTheta + 0.5*fDTheta; |
353 | Double_t diffArea = FindRingArea(lowerlimit,upperlimit); | |
d3da6dc4 | 354 | if(diffArea>0) weight = 1./diffArea; |
355 | } | |
356 | photsw->Fill(angle,weight); | |
357 | fPhotWei[i]=weight; | |
358 | }//photon candidates loop | |
359 | ||
360 | for (Int_t i=1; i<=nBin;i++){ | |
361 | Int_t bin1= i-nCorrBand; | |
362 | Int_t bin2= i+nCorrBand; | |
363 | if(bin1<1) bin1=1; | |
364 | if(bin2>nBin)bin2=nBin; | |
365 | Double_t sumPhots=phots->Integral(bin1,bin2); | |
366 | if(sumPhots<3) continue; // if less then 3 photons don't trust to this ring | |
367 | Double_t sumPhotsw=photsw->Integral(bin1,bin2); | |
368 | resultw->Fill((Double_t)((i+0.5)*fDTheta),sumPhotsw); | |
369 | } | |
370 | // evaluate the "BEST" theta ckov as the maximum value of histogramm | |
371 | Double_t *pVec = resultw->GetArray(); | |
372 | Int_t locMax = TMath::LocMax(nBin,pVec); | |
3ebd8038 | 373 | delete phots;delete photsw;delete resultw; // Reset and delete objects |
d3da6dc4 | 374 | |
375 | return (Double_t)(locMax*fDTheta+0.5*fDTheta); //final most probable track theta ckov | |
376 | }//HoughResponse() | |
377 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
378 | Double_t AliHMPIDRecon::Sigma2(Double_t ckovTh, Double_t ckovPh)const | |
379 | { | |
380 | // Analithical calculation of total error (as a sum of localization, geometrical and chromatic errors) on Cerenkov angle for a given Cerenkov photon | |
381 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
382 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
383 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
384 | // MIP beta | |
385 | // Returns: absolute error on Cerenkov angle, [radians] | |
386 | ||
387 | TVector3 v(-999,-999,-999); | |
abb5f786 | 388 | Double_t trkBeta = 1./(TMath::Cos(ckovTh)*fRadNmean); |
d3498bf5 | 389 | |
390 | if(trkBeta > 1) trkBeta = 1; //protection against bad measured thetaCer | |
391 | if(trkBeta < 0) trkBeta = 0.0001; // | |
d3da6dc4 | 392 | |
393 | v.SetX(SigLoc (ckovTh,ckovPh,trkBeta)); | |
394 | v.SetY(SigGeom(ckovTh,ckovPh,trkBeta)); | |
395 | v.SetZ(SigCrom(ckovTh,ckovPh,trkBeta)); | |
396 | ||
397 | return v.Mag2(); | |
398 | } | |
399 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
400 | Double_t AliHMPIDRecon::SigLoc(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
401 | { | |
402 | // Analithical calculation of localization error (due to finite segmentation of PC) on Cerenkov angle for a given Cerenkov photon | |
403 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
404 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
405 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
406 | // MIP beta | |
407 | // Returns: absolute error on Cerenkov angle, [radians] | |
d3498bf5 | 408 | |
d3da6dc4 | 409 | Double_t phiDelta = phiC - fTrkDir.Phi(); |
410 | ||
d3498bf5 | 411 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
412 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
413 | Double_t sinf = TMath::Sin(fTrkDir.Phi()); | |
414 | Double_t cosf = TMath::Cos(fTrkDir.Phi()); | |
415 | Double_t sinfd = TMath::Sin(phiDelta); | |
416 | Double_t cosfd = TMath::Cos(phiDelta); | |
417 | Double_t tantheta = TMath::Tan(thetaC); | |
418 | ||
419 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
420 | Double_t k = 1.-fRadNmean*fRadNmean+alpha*alpha/(betaM*betaM); // formula (after 8 in the text) | |
d3da6dc4 | 421 | if (k<0) return 1e10; |
d3498bf5 | 422 | Double_t mu =sint*sinf+tantheta*(cost*cosfd*sinf+sinfd*cosf); // formula (10) |
423 | Double_t e =sint*cosf+tantheta*(cost*cosfd*cosf-sinfd*sinf); // formula (9) | |
d3da6dc4 | 424 | |
d3498bf5 | 425 | Double_t kk = betaM*TMath::Sqrt(k)/(fgkGapThick*alpha); // formula (6) and (7) |
426 | Double_t dtdxc = kk*(k*(cosfd*cosf-cost*sinfd*sinf)-(alpha*mu/(betaM*betaM))*sint*sinfd); // formula (6) | |
427 | Double_t dtdyc = kk*(k*(cosfd*sinf+cost*sinfd*cosf)+(alpha* e/(betaM*betaM))*sint*sinfd); // formula (7) pag.4 | |
d3da6dc4 | 428 | |
d3498bf5 | 429 | Double_t errX = 0.2,errY=0.25; //end of page 7 |
430 | return TMath::Sqrt(errX*errX*dtdxc*dtdxc + errY*errY*dtdyc*dtdyc); | |
d3da6dc4 | 431 | } |
432 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
433 | Double_t AliHMPIDRecon::SigCrom(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
434 | { | |
435 | // Analithical calculation of chromatic error (due to lack of knowledge of Cerenkov photon energy) on Cerenkov angle for a given Cerenkov photon | |
436 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
437 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
438 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
439 | // MIP beta | |
440 | // Returns: absolute error on Cerenkov angle, [radians] | |
d3498bf5 | 441 | |
d3da6dc4 | 442 | Double_t phiDelta = phiC - fTrkDir.Phi(); |
d3da6dc4 | 443 | |
d3498bf5 | 444 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
445 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
446 | Double_t cosfd = TMath::Cos(phiDelta); | |
447 | Double_t tantheta = TMath::Tan(thetaC); | |
448 | ||
449 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
450 | Double_t dtdn = cost*fRadNmean*betaM*betaM/(alpha*tantheta); // formula (12) | |
d3da6dc4 | 451 | |
d3498bf5 | 452 | // Double_t f = 0.00928*(7.75-5.635)/TMath::Sqrt(12.); |
453 | Double_t f = 0.0172*(7.75-5.635)/TMath::Sqrt(24.); | |
d3da6dc4 | 454 | |
455 | return f*dtdn; | |
456 | }//SigCrom() | |
457 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
458 | Double_t AliHMPIDRecon::SigGeom(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
459 | { | |
460 | // Analithical calculation of geometric error (due to lack of knowledge of creation point in radiator) on Cerenkov angle for a given Cerenkov photon | |
461 | // created by a given MIP. Formulae according to CERN-EP-2000-058 | |
462 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
463 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
464 | // MIP beta | |
465 | // Returns: absolute error on Cerenkov angle, [radians] | |
466 | ||
467 | Double_t phiDelta = phiC - fTrkDir.Phi(); | |
d3da6dc4 | 468 | |
d3498bf5 | 469 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
470 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
471 | Double_t sinf = TMath::Sin(fTrkDir.Phi()); | |
472 | Double_t cosfd = TMath::Cos(phiDelta); | |
473 | Double_t costheta = TMath::Cos(thetaC); | |
474 | Double_t tantheta = TMath::Tan(thetaC); | |
475 | ||
476 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
477 | ||
478 | Double_t k = 1.-fRadNmean*fRadNmean+alpha*alpha/(betaM*betaM); // formula (after 8 in the text) | |
d3da6dc4 | 479 | if (k<0) return 1e10; |
480 | ||
d3498bf5 | 481 | Double_t eTr = 0.5*fgkRadThick*betaM*TMath::Sqrt(k)/(fgkGapThick*alpha); // formula (14) |
482 | Double_t lambda = 1.-sint*sint*sinf*sinf; // formula (15) | |
d3da6dc4 | 483 | |
d3498bf5 | 484 | Double_t c1 = 1./(1.+ eTr*k/(alpha*alpha*costheta*costheta)); // formula (13.a) |
485 | Double_t c2 = betaM*TMath::Power(k,1.5)*tantheta*lambda/(fgkGapThick*alpha*alpha); // formula (13.b) | |
486 | Double_t c3 = (1.+eTr*k*betaM*betaM)/((1+eTr)*alpha*alpha); // formula (13.c) | |
487 | Double_t c4 = TMath::Sqrt(k)*tantheta*(1-lambda)/(fgkGapThick*betaM); // formula (13.d) | |
488 | Double_t dtdT = c1 * (c2+c3*c4); | |
489 | Double_t trErr = fgkRadThick/(TMath::Sqrt(12.)*cost); | |
d3da6dc4 | 490 | |
d3498bf5 | 491 | return trErr*dtdT; |
d3da6dc4 | 492 | }//SigGeom() |
493 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
43400d2d | 494 | // |
611e810d | 495 | // From here HTA.... |
43400d2d | 496 | // |
497 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
afe12692 | 498 | Bool_t AliHMPIDRecon::CkovHiddenTrk(AliESDtrack *pTrk,TClonesArray *pCluLst,Double_t nmean, Double_t qthre) |
43400d2d | 499 | { |
611e810d | 500 | // Pattern recognition method without any infos from tracking:HTA (Hidden Track Algorithm)... |
43400d2d | 501 | // The method finds in the chmber the cluster with the highest charge |
502 | // compatibile with a MIP, then the strategy is applied | |
611e810d | 503 | // Arguments: pTrk - pointer to ESD track |
504 | // pCluLs - list of clusters for a given chamber | |
505 | // nmean - mean freon ref. index | |
506 | // Returns: - 0=ok,1=not fitted | |
507 | ||
43400d2d | 508 | fRadNmean=nmean; |
509 | ||
3b49956b | 510 | if(pCluLst->GetEntriesFast()>100) return kFALSE; //boundary check for CluX,CluY... |
43400d2d | 511 | Float_t mipX=-1,mipY=-1;Int_t mipId=-1,mipQ=-1; |
43400d2d | 512 | Double_t qRef = 0; |
3b49956b | 513 | Int_t nCh=0; |
5b2b2013 | 514 | for (Int_t iClu=0;iClu<pCluLst->GetEntriesFast();iClu++){ //clusters loop |
43400d2d | 515 | AliHMPIDCluster *pClu=(AliHMPIDCluster*)pCluLst->UncheckedAt(iClu); //get pointer to current cluster |
3b49956b | 516 | nCh = pClu->Ch(); |
43400d2d | 517 | fXClu[iClu] = pClu->X();fYClu[iClu] = pClu->Y(); //store x,y for fitting procedure |
5b2b2013 | 518 | fClCk[iClu] = kTRUE; //all cluster are accepted at this stage to be reconstructed |
43400d2d | 519 | if(pClu->Q()>qRef){ //searching the highest charge to select a MIP |
520 | qRef = pClu->Q(); | |
521 | mipId=iClu; mipX=pClu->X();mipY=pClu->Y();mipQ=(Int_t)pClu->Q(); | |
522 | } | |
523 | }//clusters loop | |
43400d2d | 524 | |
5b2b2013 | 525 | fNClu = pCluLst->GetEntriesFast(); |
afe12692 | 526 | if(qRef>qthre){ //charge compartible with MIP clusters |
611e810d | 527 | fIdxMip = mipId; |
5b2b2013 | 528 | fClCk[mipId] = kFALSE; |
611e810d | 529 | fMipX = mipX; fMipY=mipY; fMipQ = qRef; |
3b49956b | 530 | if(!DoRecHiddenTrk(pCluLst)) { |
531 | pTrk->SetHMPIDsignal(kNoPhotAccept); | |
532 | return kFALSE; | |
533 | } //Do track and ring reconstruction,if problems returns 1 | |
534 | pTrk->SetHMPIDtrk(fRadX,fRadY,fThTrkFit,fPhTrkFit); //store track intersection info | |
535 | pTrk->SetHMPIDmip(fMipX,fMipY,(Int_t)fMipQ,fNClu); //store mip info | |
536 | pTrk->SetHMPIDcluIdx(nCh,fIdxMip); //set cham number and index of cluster | |
537 | pTrk->SetHMPIDsignal(fCkovFit); //find best Theta ckov for ring i.e. track | |
538 | pTrk->SetHMPIDchi2(fCkovSig2); //errors squared | |
539 | // Printf(" n clusters tot %i accepted %i",pCluLst->GetEntriesFast(),fNClu); | |
5b2b2013 | 540 | return kTRUE; |
611e810d | 541 | } |
3b49956b | 542 | |
5b2b2013 | 543 | return kFALSE; |
43400d2d | 544 | }//CkovHiddenTrk() |
545 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
5b2b2013 | 546 | Bool_t AliHMPIDRecon::DoRecHiddenTrk(TClonesArray *pCluLst) |
43400d2d | 547 | { |
548 | // Pattern recognition method without any infos from tracking... | |
611e810d | 549 | // First a preclustering filter to avoid part of the noise |
43400d2d | 550 | // Then only ellipsed-rings are fitted (no possibility, |
611e810d | 551 | // for the moment, to reconstruct very inclined tracks) |
552 | // Finally a fitting with (th,ph) free, starting by very close values | |
43400d2d | 553 | // previously evaluated. |
554 | // Arguments: none | |
555 | // Returns: none | |
556 | Double_t phiRec; | |
5b2b2013 | 557 | if(!CluPreFilter(pCluLst)) {return kFALSE;} |
611e810d | 558 | if(!FitEllipse(phiRec)) {return kFALSE;} |
5b2b2013 | 559 | Int_t nClTmp1 = pCluLst->GetEntriesFast()-1; //minus MIP... |
560 | Int_t nClTmp2 = 0; | |
561 | while(nClTmp1 != nClTmp2){ | |
562 | SetNClu(pCluLst->GetEntriesFast()); | |
563 | if(!FitFree(phiRec)) {return kFALSE;} | |
564 | nClTmp2 = NClu(); | |
565 | if(nClTmp2!=nClTmp1) {nClTmp1=nClTmp2;nClTmp2=0;} | |
566 | } | |
567 | fNClu = nClTmp2; | |
568 | return kTRUE; | |
569 | }//DoRecHiddenTrk() | |
43400d2d | 570 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
5b2b2013 | 571 | Bool_t AliHMPIDRecon::CluPreFilter(TClonesArray *pCluLst) |
43400d2d | 572 | { |
573 | // Filter of bkg clusters | |
574 | // based on elliptical-shapes... | |
575 | // | |
5b2b2013 | 576 | if(pCluLst->GetEntriesFast()>50||pCluLst->GetEntriesFast()<4) return kFALSE; |
577 | else return kTRUE; | |
43400d2d | 578 | } |
579 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
580 | Bool_t AliHMPIDRecon::FitEllipse(Double_t &phiRec) | |
581 | { | |
582 | //Fit a set of clusters with an analitical conical section function: | |
583 | // | |
584 | // Ax^2 + B*y^2 + 2Hxy + 2Gx + 2Fy + 1 = 0 ---> conical section | |
585 | // | |
586 | // H*H - A*B > 0 hyperbola | |
587 | // < 0 ellipse | |
588 | // = 0 parabola | |
589 | // | |
590 | // tan 2alfa = 2H/(A-B) alfa=angle of rotation | |
591 | // | |
592 | // coordinate of the centre of the conical section: | |
593 | // x = x' + a | |
594 | // y = y' + b | |
595 | // | |
596 | // HF - BG | |
597 | // a = --------- | |
598 | // AB - H^2 | |
599 | // | |
600 | // HG - AF | |
601 | // b = -------- | |
602 | // AB - H^2 | |
43400d2d | 603 | Double_t cA,cB,cF,cG,cH; |
611e810d | 604 | Double_t aArg=-1; Int_t iErrFlg; //tmp vars for TMinuit |
43400d2d | 605 | |
611e810d | 606 | if(!gMinuit) gMinuit = new TMinuit(5); //init MINUIT with this number of parameters (5 params) |
43400d2d | 607 | gMinuit->mncler(); // reset Minuit list of paramters |
608 | gMinuit->SetObjectFit((TObject*)this); gMinuit->SetFCN(AliHMPIDRecon::FunMinEl); //set fit function | |
c0d7adf8 | 609 | gMinuit->mnexcm("SET PRI",&aArg,1,iErrFlg); //suspend all printout from TMinuit |
610 | gMinuit->mnexcm("SET NOW",&aArg,0,iErrFlg); //suspend all warning printout from TMinuit | |
43400d2d | 611 | |
612 | Double_t d1,d2,d3; | |
613 | TString sName; | |
614 | ||
611e810d | 615 | gMinuit->mnparm(0," A ",1,0.01,0,0,iErrFlg); |
616 | gMinuit->mnparm(1," B ",1,0.01,0,0,iErrFlg); | |
617 | gMinuit->mnparm(2," H ",1,0.01,0,0,iErrFlg); | |
618 | gMinuit->mnparm(3," G ",1,0.01,0,0,iErrFlg); | |
619 | gMinuit->mnparm(4," F ",1,0.01,0,0,iErrFlg); | |
43400d2d | 620 | |
3b49956b | 621 | gMinuit->mnexcm("SIMPLEX",&aArg,0,iErrFlg); |
43400d2d | 622 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); |
623 | gMinuit->mnpout(0,sName,cA,d1,d2,d3,iErrFlg); | |
624 | gMinuit->mnpout(1,sName,cB,d1,d2,d3,iErrFlg); | |
625 | gMinuit->mnpout(2,sName,cH,d1,d2,d3,iErrFlg); | |
626 | gMinuit->mnpout(3,sName,cG,d1,d2,d3,iErrFlg); | |
627 | gMinuit->mnpout(4,sName,cF,d1,d2,d3,iErrFlg); | |
628 | delete gMinuit; | |
629 | ||
630 | Double_t i2 = cA*cB-cH*cH; //quartic invariant : i2 > 0 ellipse, i2 < 0 hyperbola | |
096ddc3f | 631 | if(i2<=0) return kFALSE; |
43400d2d | 632 | Double_t aX = (cH*cF-cB*cG)/i2; //x centre of the canonical section |
633 | Double_t bY = (cH*cG-cA*cF)/i2; //y centre of the canonical section | |
634 | Double_t alfa1 = TMath::ATan(2*cH/(cA-cB)); //alpha = angle of rotation of the conical section | |
635 | if(alfa1<0) alfa1+=TMath::Pi(); | |
636 | alfa1*=0.5; | |
3b49956b | 637 | // Double_t alfa2 = alfa1+TMath::Pi(); |
638 | Double_t phiref = TMath::ATan2(bY-fMipY,aX-fMipX); //evaluate in a unique way the angle of rotation comparing it | |
639 | if(phiref<0) phiref+=TMath::TwoPi(); //with the vector that points to the centre from the mip | |
43400d2d | 640 | if(i2<0) phiref+=TMath::Pi(); |
641 | if(phiref>TMath::TwoPi()) phiref-=TMath::TwoPi(); | |
642 | ||
643 | // Printf(" alfa1 %f",alfa1*TMath::RadToDeg()); | |
644 | // Printf(" alfa2 %f",alfa2*TMath::RadToDeg()); | |
645 | // Printf(" firef %f",phiref*TMath::RadToDeg()); | |
3b49956b | 646 | // if(TMath::Abs(alfa1-phiref)<TMath::Abs(alfa2-phiref)) phiRec = alfa1; else phiRec = alfa2; |
43400d2d | 647 | |
3b49956b | 648 | // Printf("FitEllipse: phi reconstructed %f",phiRec*TMath::RadToDeg()); |
649 | phiRec=phiref; | |
096ddc3f | 650 | return kTRUE; |
43400d2d | 651 | // |
652 | } | |
653 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
611e810d | 654 | Bool_t AliHMPIDRecon::FitFree(Double_t phiRec) |
43400d2d | 655 | { |
656 | // Fit performed by minimizing RMS/sqrt(n) of the | |
657 | // photons reconstructed. First phi is fixed and theta | |
658 | // is fouond, then (th,ph) of the track | |
659 | // as free parameters | |
660 | // Arguments: PhiRec phi of the track | |
661 | // Returns: none | |
611e810d | 662 | Double_t aArg=-1; Int_t iErrFlg; //tmp vars for TMinuit |
663 | if(!gMinuit) gMinuit = new TMinuit(2); //init MINUIT with this number of parameters (5 params) | |
43400d2d | 664 | gMinuit->mncler(); // reset Minuit list of paramters |
665 | gMinuit->SetObjectFit((TObject*)this); gMinuit->SetFCN(AliHMPIDRecon::FunMinPhot); //set fit function | |
666 | gMinuit->mnexcm("SET PRI",&aArg,1,iErrFlg); //suspend all printout from TMinuit | |
667 | gMinuit->mnexcm("SET NOW",&aArg,0,iErrFlg); //suspend all warning printout from TMinuit | |
668 | ||
669 | Double_t d1,d2,d3; | |
670 | TString sName; | |
671 | Double_t th,ph; | |
672 | ||
611e810d | 673 | gMinuit->mnparm(0," theta ", 0.01,0.01,0,TMath::PiOver2(),iErrFlg); |
674 | gMinuit->mnparm(1," phi ",phiRec,0.01,0,TMath::TwoPi() ,iErrFlg); | |
43400d2d | 675 | |
676 | gMinuit->FixParameter(1); | |
677 | gMinuit->mnexcm("SIMPLEX" ,&aArg,0,iErrFlg); | |
678 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); | |
679 | gMinuit->Release(1); | |
680 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); | |
681 | ||
682 | gMinuit->mnpout(0,sName,th,d1,d2,d3,iErrFlg); | |
683 | gMinuit->mnpout(1,sName,ph,d1,d2,d3,iErrFlg); | |
611e810d | 684 | |
685 | Double_t outPar[2] = {th,ph}; Double_t g; Double_t f;Int_t flag = 3; | |
686 | gMinuit->Eval(2, &g, f, outPar,flag); | |
687 | ||
688 | SetTrkFit(th,ph); | |
43400d2d | 689 | |
611e810d | 690 | return kTRUE; |
43400d2d | 691 | } |
692 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
693 | Double_t AliHMPIDRecon::FunConSect(Double_t *c,Double_t x,Double_t y) | |
694 | { | |
695 | return c[0]*x*x+c[1]*y*y+2*c[2]*x*y+2*c[3]*x+2*c[4]*y+1; | |
696 | } | |
697 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
698 | void AliHMPIDRecon::FunMinEl(Int_t &/* */,Double_t* /* */,Double_t &f,Double_t *par,Int_t /* */) | |
699 | { | |
700 | AliHMPIDRecon *pRec=(AliHMPIDRecon*)gMinuit->GetObjectFit(); | |
701 | Double_t minFun = 0; | |
702 | Int_t np = pRec->NClu(); | |
703 | for(Int_t i=0;i<np;i++) { | |
704 | if(i==pRec->IdxMip()) continue; | |
705 | Double_t el = pRec->FunConSect(par,pRec->XClu(i),pRec->YClu(i)); | |
706 | minFun +=el*el; | |
707 | } | |
708 | f = minFun; | |
709 | } | |
710 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
611e810d | 711 | void AliHMPIDRecon::FunMinPhot(Int_t &/* */,Double_t* /* */,Double_t &f,Double_t *par,Int_t iflag) |
43400d2d | 712 | { |
713 | AliHMPIDRecon *pRec=(AliHMPIDRecon*)gMinuit->GetObjectFit(); | |
611e810d | 714 | Double_t sizeCh = 0.5*fgkRadThick+fgkWinThick+fgkGapThick; |
43400d2d | 715 | Double_t thTrk = par[0]; |
716 | Double_t phTrk = par[1]; | |
717 | Double_t xrad = pRec->MipX() - sizeCh*TMath::Tan(thTrk)*TMath::Cos(phTrk); | |
718 | Double_t yrad = pRec->MipY() - sizeCh*TMath::Tan(thTrk)*TMath::Sin(phTrk); | |
611e810d | 719 | pRec->SetRadXY(xrad,yrad); |
43400d2d | 720 | pRec->SetTrack(xrad,yrad,thTrk,phTrk); |
721 | ||
5b2b2013 | 722 | Double_t meanCkov =0; |
43400d2d | 723 | Double_t meanCkov2=0; |
724 | Double_t thetaCer,phiCer; | |
5b2b2013 | 725 | Int_t nClAcc = 0; |
726 | Int_t nClTot=pRec->NClu(); | |
727 | ||
728 | for(Int_t i=0;i<nClTot;i++) { | |
729 | if(!(pRec->ClCk(i))) continue; | |
43400d2d | 730 | pRec->FindPhotCkov(pRec->XClu(i),pRec->YClu(i),thetaCer,phiCer); |
43400d2d | 731 | meanCkov += thetaCer; |
732 | meanCkov2 += thetaCer*thetaCer; | |
5b2b2013 | 733 | nClAcc++; |
43400d2d | 734 | } |
096ddc3f | 735 | if(nClAcc==0) {f=999;return;} |
5b2b2013 | 736 | meanCkov/=nClAcc; |
096ddc3f | 737 | Double_t rms = (meanCkov2 - meanCkov*meanCkov*nClAcc)/nClAcc; |
738 | if(rms<0) Printf(" rms2 = %f, strange!!!",rms); | |
739 | rms = TMath::Sqrt(rms); | |
5b2b2013 | 740 | f = rms/TMath::Sqrt(nClAcc); |
611e810d | 741 | |
5b2b2013 | 742 | |
743 | if(iflag==3) { | |
744 | Printf("FunMinPhot before: photons candidates %i used %i",nClTot,nClAcc); | |
745 | nClAcc = 0; | |
746 | Double_t meanCkov1=0; | |
3b49956b | 747 | Double_t meanCkov2=0; |
5b2b2013 | 748 | for(Int_t i=0;i<nClTot;i++) { |
749 | if(!(pRec->ClCk(i))) continue; | |
750 | pRec->FindPhotCkov(pRec->XClu(i),pRec->YClu(i),thetaCer,phiCer); | |
751 | if(TMath::Abs(thetaCer-meanCkov)<2*rms) { | |
3b49956b | 752 | meanCkov1 += thetaCer; |
753 | meanCkov2 += thetaCer*thetaCer; | |
5b2b2013 | 754 | nClAcc++; |
755 | } else pRec->SetClCk(i,kFALSE); | |
756 | } | |
757 | meanCkov1/=nClAcc; | |
3b49956b | 758 | Double_t rms2 = (meanCkov2 - meanCkov*meanCkov*nClAcc)/nClAcc; |
5b2b2013 | 759 | Printf("FunMinPhot after: photons candidates %i used %i thetaCer %f",nClTot,nClAcc,meanCkov1); |
760 | pRec->SetCkovFit(meanCkov1); | |
3b49956b | 761 | pRec->SetCkovSig2(rms2); |
5b2b2013 | 762 | pRec->SetNClu(nClAcc); |
763 | } | |
43400d2d | 764 | }//FunMinPhot() |
611e810d | 765 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
766 | // | |
767 | // ended Hidden track algorithm.... | |
768 | // | |
769 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |