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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; | |
e518c628 | 77 | |
78 | fIsWEIGHT = kTRUE; | |
d3da6dc4 | 79 | |
611e810d | 80 | Float_t xRa,yRa,th,ph; |
a591e55f | 81 | pTrk->GetHMPIDtrk(xRa,yRa,th,ph); //initialize this track: th and ph angles at middle of RAD |
a591e55f | 82 | SetTrack(xRa,yRa,th,ph); |
611e810d | 83 | |
abb5f786 | 84 | fRadNmean=nmean; |
d3da6dc4 | 85 | |
59280a5a | 86 | Float_t dMin=999,mipX=-1,mipY=-1;Int_t chId=-1,mipId=-1,mipQ=-1; |
d3da6dc4 | 87 | fPhotCnt=0; |
88 | for (Int_t iClu=0; iClu<pCluLst->GetEntriesFast();iClu++){//clusters loop | |
89 | AliHMPIDCluster *pClu=(AliHMPIDCluster*)pCluLst->UncheckedAt(iClu); //get pointer to current cluster | |
59280a5a | 90 | chId=pClu->Ch(); |
afe12692 | 91 | if(pClu->Q()>qthre){ //charge compartible with MIP clusters |
a591e55f | 92 | 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 |
93 | 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 | |
94 | }else{ //charge compatible with photon cluster | |
95 | Double_t thetaCer,phiCer; | |
96 | if(FindPhotCkov(pClu->X(),pClu->Y(),thetaCer,phiCer)){ //find ckov angle for this photon candidate | |
97 | fPhotCkov[fPhotCnt]=thetaCer; //actual theta Cerenkov (in TRS) | |
b4ad85e9 | 98 | fPhotPhi [fPhotCnt]=phiCer; //actual phi Cerenkov (in TRS): -pi to come back to "unusual" ref system (X,Y,-Z) |
28500fe1 | 99 | //PH Printf("photon n. %i reconstructed theta = %f",fPhotCnt,fPhotCkov[fPhotCnt]); |
a591e55f | 100 | fPhotCnt++; //increment counter of photon candidates |
101 | } | |
59280a5a | 102 | } |
d3da6dc4 | 103 | }//clusters loop |
4598109f | 104 | fMipPos.Set(mipX,mipY); |
76fd1a96 | 105 | if(fPhotCnt<=3) pTrk->SetHMPIDsignal(kNoPhotAccept); //no reconstruction with <=3 photon candidates |
a591e55f | 106 | Int_t iNacc=FlagPhot(HoughResponse()); //flag photons according to individual theta ckov with respect to most probable |
107 | pTrk->SetHMPIDmip(mipX,mipY,mipQ,iNacc); //store mip info | |
59280a5a | 108 | |
a591e55f | 109 | if(mipId==-1) {pTrk->SetHMPIDsignal(kMipQdcCut); return;} //no clusters with QDC more the threshold at all |
110 | if(dMin>pParam->DistCut()) {pTrk->SetHMPIDsignal(kMipDistCut); return;} //closest cluster with enough charge is still too far from intersection | |
111 | pTrk->SetHMPIDcluIdx(chId,mipId); //set index of cluster | |
76fd1a96 | 112 | if(iNacc<1){ |
113 | pTrk->SetHMPIDsignal(kNoPhotAccept); //no photon candidates is accepted | |
114 | } | |
115 | else { | |
116 | pTrk->SetHMPIDsignal(FindRingCkov(pCluLst->GetEntries())); //find best Theta ckov for ring i.e. track | |
117 | pTrk->SetHMPIDchi2(fCkovSigma2); //errors squared | |
118 | } | |
d3da6dc4 | 119 | |
43400d2d | 120 | }//CkovAngle() |
d3da6dc4 | 121 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
a591e55f | 122 | Bool_t AliHMPIDRecon::FindPhotCkov(Double_t cluX,Double_t cluY,Double_t &thetaCer,Double_t &phiCer) |
d3da6dc4 | 123 | { |
124 | // Finds Cerenkov angle for this photon candidate | |
125 | // Arguments: cluX,cluY - position of cadidate's cluster | |
a591e55f | 126 | // Returns: Cerenkov angle |
d3da6dc4 | 127 | |
a591e55f | 128 | TVector3 dirCkov; |
129 | ||
67a1c24c | 130 | Double_t zRad= -0.5*fgkRadThick-0.5*fgkWinThick; //z position of middle of RAD |
131 | TVector3 rad(fTrkPos.X(),fTrkPos.Y(),zRad); //impact point at middle of RAD | |
132 | TVector3 pc(cluX,cluY,0.5*fgkWinThick+fgkGapIdx); //mip at PC | |
a591e55f | 133 | Double_t cluR = TMath::Sqrt((cluX-fTrkPos.X())*(cluX-fTrkPos.X())+ |
134 | (cluY-fTrkPos.Y())*(cluY-fTrkPos.Y()));//ref. distance impact RAD-CLUSTER | |
67a1c24c | 135 | Double_t phi=(pc-rad).Phi(); //phi of photon |
a591e55f | 136 | |
b4ad85e9 | 137 | Double_t ckov1=0; |
67a1c24c | 138 | Double_t ckov2=0.75+fTrkDir.Theta(); //start to find theta cerenkov in DRS |
b4ad85e9 | 139 | const Double_t kTol=0.01; |
d3da6dc4 | 140 | Int_t iIterCnt = 0; |
141 | while(1){ | |
a591e55f | 142 | if(iIterCnt>=50) return kFALSE; |
d3da6dc4 | 143 | Double_t ckov=0.5*(ckov1+ckov2); |
67a1c24c | 144 | dirCkov.SetMagThetaPhi(1,ckov,phi); |
a591e55f | 145 | TVector2 posC=TraceForward(dirCkov); //trace photon with actual angles |
146 | Double_t dist=cluR-(posC-fTrkPos).Mod(); //get distance between trial point and cluster position | |
147 | if(posC.X()==-999) dist = - 999; //total reflection problem | |
148 | iIterCnt++; //counter step | |
b4ad85e9 | 149 | if (dist> kTol) ckov1=ckov; //cluster @ larger ckov |
d3da6dc4 | 150 | else if(dist<-kTol) ckov2=ckov; //cluster @ smaller ckov |
a591e55f | 151 | else{ //precision achived: ckov in DRS found |
152 | dirCkov.SetMagThetaPhi(1,ckov,phi); // | |
153 | RecPhot(dirCkov,thetaCer,phiCer); //find ckov (in TRS:the effective Cherenkov angle!) | |
154 | return kTRUE; | |
155 | } | |
d3da6dc4 | 156 | } |
157 | }//FindPhotTheta() | |
158 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
a591e55f | 159 | TVector2 AliHMPIDRecon::TraceForward(TVector3 dirCkov)const |
d3da6dc4 | 160 | { |
a591e55f | 161 | //Trace forward a photon from (x,y) up to PC |
162 | // Arguments: dirCkov photon vector in LORS | |
163 | // Returns: pos of traced photon at PC | |
164 | TVector2 pos(-999,-999); | |
67a1c24c | 165 | Double_t thetaCer = dirCkov.Theta(); |
166 | if(thetaCer > TMath::ASin(1./fRadNmean)) return pos; //total refraction on WIN-GAP boundary | |
167 | Double_t zRad= -0.5*fgkRadThick-0.5*fgkWinThick; //z position of middle of RAD | |
168 | TVector3 posCkov(fTrkPos.X(),fTrkPos.Y(),zRad); //RAD: photon position is track position @ middle of RAD | |
169 | Propagate(dirCkov,posCkov, -0.5*fgkWinThick); //go to RAD-WIN boundary | |
170 | Refract (dirCkov, fRadNmean,fgkWinIdx); //RAD-WIN refraction | |
171 | Propagate(dirCkov,posCkov, 0.5*fgkWinThick); //go to WIN-GAP boundary | |
172 | Refract (dirCkov, fgkWinIdx,fgkGapIdx); //WIN-GAP refraction | |
173 | Propagate(dirCkov,posCkov,0.5*fgkWinThick+fgkGapThick); //go to PC | |
a591e55f | 174 | pos.Set(posCkov.X(),posCkov.Y()); |
175 | return pos; | |
176 | }//TraceForward() | |
177 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
178 | void AliHMPIDRecon::RecPhot(TVector3 dirCkov,Double_t &thetaCer,Double_t &phiCer) | |
179 | { | |
180 | //Theta Cerenkov reconstruction | |
181 | // Arguments: (x,y) of initial point in LORS, dirCkov photon vector in LORS | |
182 | // Returns: thetaCer theta cerenkov reconstructed | |
183 | // TVector3 dirTrk; | |
184 | // dirTrk.SetMagThetaPhi(1,fTrkDir.Theta(),fTrkDir.Phi()); | |
185 | // Double_t thetaCer = TMath::ACos(dirCkov*dirTrk); | |
186 | TRotation mtheta; mtheta.RotateY(- fTrkDir.Theta()); | |
187 | TRotation mphi; mphi.RotateZ(- fTrkDir.Phi()); | |
188 | TRotation mrot=mtheta*mphi; | |
189 | TVector3 dirCkovTRS; | |
190 | dirCkovTRS=mrot*dirCkov; | |
191 | phiCer = dirCkovTRS.Phi(); //actual value of the phi of the photon | |
192 | thetaCer= dirCkovTRS.Theta(); //actual value of thetaCerenkov of the photon | |
d3da6dc4 | 193 | } |
194 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
4598109f | 195 | Double_t AliHMPIDRecon::FindRingArea(Double_t ckovAng)const |
d3da6dc4 | 196 | { |
4598109f | 197 | // Find area covered in the PC acceptance |
198 | // Arguments: ckovAng - cerenkov angle | |
d3da6dc4 | 199 | // Returns: area of the ring in cm^2 for given theta ckov |
200 | ||
d3da6dc4 | 201 | const Int_t kN=100; |
4598109f | 202 | TVector2 pos1; |
afe12692 | 203 | Double_t area=0; |
4598109f | 204 | Bool_t first=kFALSE; |
afe12692 | 205 | for(Int_t i=0;i<kN;i++){ |
4598109f | 206 | if(!first) { |
207 | pos1=TracePhot(ckovAng,Double_t(TMath::TwoPi()*(i+1)/kN)); //find a good trace for the first photon | |
208 | if(pos1.X()==-999) continue; //no area: open ring | |
209 | if(!AliHMPIDParam::IsInside(pos1.X(),pos1.Y(),0)) pos1 = IntWithEdge(fMipPos,pos1); // ffind the very first intersection... | |
210 | first=kTRUE; | |
211 | continue; | |
212 | } | |
213 | TVector2 pos2=TracePhot(ckovAng,Double_t(TMath::TwoPi()*(i+1)/kN)); //trace the next photon | |
214 | if(pos2.X()==-999) continue; //no area: open ring | |
215 | if(!AliHMPIDParam::IsInside(pos2.X(),pos2.Y(),0)) { | |
216 | pos2 = IntWithEdge(fMipPos,pos2); | |
217 | } | |
218 | area+=TMath::Abs((pos1-fMipPos).X()*(pos2-fMipPos).Y()-(pos1-fMipPos).Y()*(pos2-fMipPos).X()); //add area of the triangle... | |
219 | pos1 = pos2; | |
d3da6dc4 | 220 | } |
4598109f | 221 | //--- find points from ring |
7fc88c5e | 222 | area*=0.5; |
d3da6dc4 | 223 | return area; |
224 | }//FindRingArea() | |
225 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
4598109f | 226 | TVector2 AliHMPIDRecon::IntWithEdge(TVector2 p1,TVector2 p2)const |
227 | { | |
228 | // It finds the intersection of the line for 2 points traced as photons | |
229 | // and the edge of a given PC | |
230 | // Arguments: 2 points obtained tracing the photons | |
231 | // Returns: intersection point with detector (PC) edges | |
232 | ||
233 | AliHMPIDParam *pParam = AliHMPIDParam::Instance(); | |
234 | ||
235 | Double_t xmin = (p1.X()<p2.X())? p1.X():p2.X(); | |
236 | Double_t xmax = (p1.X()<p2.X())? p2.X():p1.X(); | |
237 | Double_t ymin = (p1.Y()<p2.Y())? p1.Y():p2.Y(); | |
238 | Double_t ymax = (p1.Y()<p2.Y())? p2.Y():p1.Y(); | |
239 | ||
240 | Double_t m = TMath::Tan((p2-p1).Phi()); | |
241 | TVector2 pint; | |
242 | //intersection with low X | |
243 | pint.Set((Double_t)(p1.X() + (0-p1.Y())/m),0.); | |
4598109f | 244 | if(pint.X()>=0 && pint.X()<=pParam->SizeAllX() && |
245 | pint.X()>=xmin && pint.X()<=xmax && | |
246 | pint.Y()>=ymin && pint.Y()<=ymax) return pint; | |
247 | //intersection with high X | |
248 | pint.Set((Double_t)(p1.X() + (pParam->SizeAllY()-p1.Y())/m),(Double_t)(pParam->SizeAllY())); | |
4598109f | 249 | if(pint.X()>=0 && pint.X()<=pParam->SizeAllX() && |
250 | pint.X()>=xmin && pint.X()<=xmax && | |
251 | pint.Y()>=ymin && pint.Y()<=ymax) return pint; | |
252 | //intersection with left Y | |
253 | pint.Set(0.,(Double_t)(p1.Y() + m*(0-p1.X()))); | |
4598109f | 254 | if(pint.Y()>=0 && pint.Y()<=pParam->SizeAllY() && |
255 | pint.Y()>=ymin && pint.Y()<=ymax && | |
256 | pint.X()>=xmin && pint.X()<=xmax) return pint; | |
257 | //intersection with righ Y | |
258 | pint.Set((Double_t)(pParam->SizeAllX()),(Double_t)(p1.Y() + m*(pParam->SizeAllX()-p1.X()))); | |
4598109f | 259 | if(pint.Y()>=0 && pint.Y()<=pParam->SizeAllY() && |
260 | pint.Y()>=ymin && pint.Y()<=ymax && | |
261 | pint.X()>=xmin && pint.X()<=xmax) return pint; | |
262 | return p1; | |
263 | }//IntWithEdge() | |
264 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
d3da6dc4 | 265 | Double_t AliHMPIDRecon::FindRingCkov(Int_t) |
266 | { | |
267 | // 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 | |
268 | // collecting errors for all single Ckov candidates thetas. (Assuming they are independent) | |
269 | // Arguments: iNclus- total number of clusters in chamber for background estimation | |
270 | // Return: best estimation of track Theta ckov | |
271 | ||
272 | Double_t wei = 0.; | |
273 | Double_t weightThetaCerenkov = 0.; | |
274 | ||
275 | Double_t ckovMin=9999.,ckovMax=0.; | |
276 | Double_t sigma2 = 0; //to collect error squared for this ring | |
277 | ||
278 | for(Int_t i=0;i<fPhotCnt;i++){//candidates loop | |
279 | if(fPhotFlag[i] == 2){ | |
a591e55f | 280 | if(fPhotCkov[i]<ckovMin) ckovMin=fPhotCkov[i]; //find max and min Theta ckov from all candidates within probable window |
d3da6dc4 | 281 | if(fPhotCkov[i]>ckovMax) ckovMax=fPhotCkov[i]; |
a591e55f | 282 | weightThetaCerenkov += fPhotCkov[i]*fPhotWei[i]; |
283 | wei += fPhotWei[i]; //collect weight as sum of all candidate weghts | |
d3da6dc4 | 284 | |
d3da6dc4 | 285 | sigma2 += 1./Sigma2(fPhotCkov[i],fPhotPhi[i]); |
286 | } | |
287 | }//candidates loop | |
288 | ||
289 | if(sigma2>0) fCkovSigma2=1./sigma2; | |
290 | else fCkovSigma2=1e10; | |
291 | ||
b4ad85e9 | 292 | if(wei != 0.) weightThetaCerenkov /= wei; else weightThetaCerenkov = 0.; |
d3da6dc4 | 293 | return weightThetaCerenkov; |
294 | }//FindCkovRing() | |
295 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
296 | Int_t AliHMPIDRecon::FlagPhot(Double_t ckov) | |
297 | { | |
298 | // Flag photon candidates if their individual ckov angle is inside the window around ckov angle returned by HoughResponse() | |
299 | // Arguments: ckov- value of most probable ckov angle for track as returned by HoughResponse() | |
300 | // Returns: number of photon candidates happened to be inside the window | |
301 | ||
a591e55f | 302 | // Photon Flag: Flag = 0 initial set; |
303 | // Flag = 1 good candidate (charge compatible with photon); | |
304 | // Flag = 2 photon used for the ring; | |
d3da6dc4 | 305 | |
306 | Int_t steps = (Int_t)((ckov )/ fDTheta); //how many times we need to have fDTheta to fill the distance between 0 and thetaCkovHough | |
307 | ||
308 | Double_t tmin = (Double_t)(steps - 1)*fDTheta; | |
309 | Double_t tmax = (Double_t)(steps)*fDTheta; | |
310 | Double_t tavg = 0.5*(tmin+tmax); | |
311 | ||
312 | tmin = tavg - 0.5*fWindowWidth; tmax = tavg + 0.5*fWindowWidth; | |
313 | ||
314 | Int_t iInsideCnt = 0; //count photons which Theta ckov inside the window | |
315 | for(Int_t i=0;i<fPhotCnt;i++){//photon candidates loop | |
afe12692 | 316 | fPhotFlag[i] = 0; |
d3da6dc4 | 317 | if(fPhotCkov[i] >= tmin && fPhotCkov[i] <= tmax) { |
318 | fPhotFlag[i]=2; | |
319 | iInsideCnt++; | |
320 | } | |
321 | } | |
322 | return iInsideCnt; | |
323 | }//FlagPhot() | |
324 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
a591e55f | 325 | TVector2 AliHMPIDRecon::TracePhot(Double_t ckovThe,Double_t ckovPhi)const |
d3da6dc4 | 326 | { |
327 | // Trace a single Ckov photon from emission point somewhere in radiator up to photocathode taking into account ref indexes of materials it travereses | |
a591e55f | 328 | // Arguments: ckovThe,ckovPhi- photon ckov angles in DRS, [rad] |
d3da6dc4 | 329 | // Returns: distance between photon point on PC and track projection |
330 | TRotation mtheta; mtheta.RotateY(fTrkDir.Theta()); | |
331 | TRotation mphi; mphi.RotateZ(fTrkDir.Phi()); | |
332 | TRotation mrot=mphi*mtheta; | |
a591e55f | 333 | TVector3 dirCkov,dirCkovTors; |
334 | ||
335 | dirCkovTors.SetMagThetaPhi(1,ckovThe,ckovPhi); //initially photon is directed according to requested ckov angle | |
336 | dirCkov=mrot*dirCkovTors; //now we know photon direction in LORS | |
337 | return TraceForward(dirCkov); | |
338 | }//TracePhot() | |
d3da6dc4 | 339 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
a591e55f | 340 | void AliHMPIDRecon::Propagate(const TVector3 dir,TVector3 &pos,Double_t z)const |
d3da6dc4 | 341 | { |
342 | // Finds an intersection point between a line and XY plane shifted along Z. | |
343 | // Arguments: dir,pos - vector along the line and any point of the line | |
344 | // z - z coordinate of plain | |
345 | // Returns: none | |
346 | // On exit: pos is the position if this intesection if any | |
347 | static TVector3 nrm(0,0,1); | |
348 | TVector3 pnt(0,0,z); | |
349 | ||
350 | TVector3 diff=pnt-pos; | |
351 | Double_t sint=(nrm*diff)/(nrm*dir); | |
352 | pos+=sint*dir; | |
353 | }//Propagate() | |
354 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
355 | void AliHMPIDRecon::Refract(TVector3 &dir,Double_t n1,Double_t n2)const | |
356 | { | |
357 | // Refract direction vector according to Snell law | |
358 | // Arguments: | |
359 | // n1 - ref idx of first substance | |
360 | // n2 - ref idx of second substance | |
361 | // Returns: none | |
362 | // On exit: dir is new direction | |
67a1c24c | 363 | Double_t sinref=(n1/n2)*TMath::Sin(dir.Theta()); |
76fd1a96 | 364 | if(TMath::Abs(sinref)>1.) dir.SetXYZ(-999,-999,-999); |
67a1c24c | 365 | else dir.SetTheta(TMath::ASin(sinref)); |
d3da6dc4 | 366 | }//Refract() |
367 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
368 | Double_t AliHMPIDRecon::HoughResponse() | |
369 | { | |
370 | // | |
611e810d | 371 | // fIdxMip = mipId; |
372 | ||
d3da6dc4 | 373 | // |
374 | Double_t kThetaMax=0.75; | |
375 | Int_t nChannels = (Int_t)(kThetaMax/fDTheta+0.5); | |
376 | TH1D *phots = new TH1D("Rphot" ,"phots" ,nChannels,0,kThetaMax); | |
377 | TH1D *photsw = new TH1D("RphotWeighted" ,"photsw" ,nChannels,0,kThetaMax); | |
378 | TH1D *resultw = new TH1D("resultw","resultw" ,nChannels,0,kThetaMax); | |
379 | Int_t nBin = (Int_t)(kThetaMax/fDTheta); | |
380 | Int_t nCorrBand = (Int_t)(fWindowWidth/(2*fDTheta)); | |
381 | ||
382 | for (Int_t i=0; i< fPhotCnt; i++){//photon cadidates loop | |
383 | Double_t angle = fPhotCkov[i]; if(angle<0||angle>kThetaMax) continue; | |
384 | phots->Fill(angle); | |
385 | Int_t bin = (Int_t)(0.5+angle/(fDTheta)); | |
386 | Double_t weight=1.; | |
387 | if(fIsWEIGHT){ | |
afe12692 | 388 | Double_t lowerlimit = ((Double_t)bin)*fDTheta - 0.5*fDTheta; Double_t upperlimit = ((Double_t)bin)*fDTheta + 0.5*fDTheta; |
4598109f | 389 | Double_t diffArea = FindRingArea(upperlimit)-FindRingArea(lowerlimit); |
d3da6dc4 | 390 | if(diffArea>0) weight = 1./diffArea; |
391 | } | |
392 | photsw->Fill(angle,weight); | |
393 | fPhotWei[i]=weight; | |
394 | }//photon candidates loop | |
395 | ||
396 | for (Int_t i=1; i<=nBin;i++){ | |
397 | Int_t bin1= i-nCorrBand; | |
398 | Int_t bin2= i+nCorrBand; | |
399 | if(bin1<1) bin1=1; | |
400 | if(bin2>nBin)bin2=nBin; | |
401 | Double_t sumPhots=phots->Integral(bin1,bin2); | |
402 | if(sumPhots<3) continue; // if less then 3 photons don't trust to this ring | |
403 | Double_t sumPhotsw=photsw->Integral(bin1,bin2); | |
404 | resultw->Fill((Double_t)((i+0.5)*fDTheta),sumPhotsw); | |
405 | } | |
406 | // evaluate the "BEST" theta ckov as the maximum value of histogramm | |
407 | Double_t *pVec = resultw->GetArray(); | |
408 | Int_t locMax = TMath::LocMax(nBin,pVec); | |
3ebd8038 | 409 | delete phots;delete photsw;delete resultw; // Reset and delete objects |
d3da6dc4 | 410 | |
411 | return (Double_t)(locMax*fDTheta+0.5*fDTheta); //final most probable track theta ckov | |
412 | }//HoughResponse() | |
413 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
414 | Double_t AliHMPIDRecon::Sigma2(Double_t ckovTh, Double_t ckovPh)const | |
415 | { | |
416 | // Analithical calculation of total error (as a sum of localization, geometrical and chromatic errors) on Cerenkov angle for a given Cerenkov photon | |
417 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
418 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
419 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
420 | // MIP beta | |
421 | // Returns: absolute error on Cerenkov angle, [radians] | |
422 | ||
423 | TVector3 v(-999,-999,-999); | |
abb5f786 | 424 | Double_t trkBeta = 1./(TMath::Cos(ckovTh)*fRadNmean); |
d3498bf5 | 425 | |
426 | if(trkBeta > 1) trkBeta = 1; //protection against bad measured thetaCer | |
427 | if(trkBeta < 0) trkBeta = 0.0001; // | |
d3da6dc4 | 428 | |
429 | v.SetX(SigLoc (ckovTh,ckovPh,trkBeta)); | |
430 | v.SetY(SigGeom(ckovTh,ckovPh,trkBeta)); | |
431 | v.SetZ(SigCrom(ckovTh,ckovPh,trkBeta)); | |
432 | ||
433 | return v.Mag2(); | |
434 | } | |
435 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
436 | Double_t AliHMPIDRecon::SigLoc(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
437 | { | |
438 | // Analithical calculation of localization error (due to finite segmentation of PC) on Cerenkov angle for a given Cerenkov photon | |
439 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
440 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
441 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
442 | // MIP beta | |
443 | // Returns: absolute error on Cerenkov angle, [radians] | |
d3498bf5 | 444 | |
d3da6dc4 | 445 | Double_t phiDelta = phiC - fTrkDir.Phi(); |
446 | ||
d3498bf5 | 447 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
448 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
449 | Double_t sinf = TMath::Sin(fTrkDir.Phi()); | |
450 | Double_t cosf = TMath::Cos(fTrkDir.Phi()); | |
451 | Double_t sinfd = TMath::Sin(phiDelta); | |
452 | Double_t cosfd = TMath::Cos(phiDelta); | |
453 | Double_t tantheta = TMath::Tan(thetaC); | |
454 | ||
455 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
456 | Double_t k = 1.-fRadNmean*fRadNmean+alpha*alpha/(betaM*betaM); // formula (after 8 in the text) | |
d3da6dc4 | 457 | if (k<0) return 1e10; |
d3498bf5 | 458 | Double_t mu =sint*sinf+tantheta*(cost*cosfd*sinf+sinfd*cosf); // formula (10) |
459 | Double_t e =sint*cosf+tantheta*(cost*cosfd*cosf-sinfd*sinf); // formula (9) | |
d3da6dc4 | 460 | |
d3498bf5 | 461 | Double_t kk = betaM*TMath::Sqrt(k)/(fgkGapThick*alpha); // formula (6) and (7) |
462 | Double_t dtdxc = kk*(k*(cosfd*cosf-cost*sinfd*sinf)-(alpha*mu/(betaM*betaM))*sint*sinfd); // formula (6) | |
463 | Double_t dtdyc = kk*(k*(cosfd*sinf+cost*sinfd*cosf)+(alpha* e/(betaM*betaM))*sint*sinfd); // formula (7) pag.4 | |
d3da6dc4 | 464 | |
d3498bf5 | 465 | Double_t errX = 0.2,errY=0.25; //end of page 7 |
466 | return TMath::Sqrt(errX*errX*dtdxc*dtdxc + errY*errY*dtdyc*dtdyc); | |
d3da6dc4 | 467 | } |
468 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
469 | Double_t AliHMPIDRecon::SigCrom(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
470 | { | |
471 | // Analithical calculation of chromatic error (due to lack of knowledge of Cerenkov photon energy) on Cerenkov angle for a given Cerenkov photon | |
472 | // created by a given MIP. Fromulae according to CERN-EP-2000-058 | |
473 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
474 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
475 | // MIP beta | |
476 | // Returns: absolute error on Cerenkov angle, [radians] | |
d3498bf5 | 477 | |
d3da6dc4 | 478 | Double_t phiDelta = phiC - fTrkDir.Phi(); |
d3da6dc4 | 479 | |
d3498bf5 | 480 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
481 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
482 | Double_t cosfd = TMath::Cos(phiDelta); | |
483 | Double_t tantheta = TMath::Tan(thetaC); | |
484 | ||
485 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
486 | Double_t dtdn = cost*fRadNmean*betaM*betaM/(alpha*tantheta); // formula (12) | |
d3da6dc4 | 487 | |
d3498bf5 | 488 | // Double_t f = 0.00928*(7.75-5.635)/TMath::Sqrt(12.); |
489 | Double_t f = 0.0172*(7.75-5.635)/TMath::Sqrt(24.); | |
d3da6dc4 | 490 | |
491 | return f*dtdn; | |
492 | }//SigCrom() | |
493 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
494 | Double_t AliHMPIDRecon::SigGeom(Double_t thetaC, Double_t phiC,Double_t betaM)const | |
495 | { | |
496 | // Analithical calculation of geometric error (due to lack of knowledge of creation point in radiator) on Cerenkov angle for a given Cerenkov photon | |
497 | // created by a given MIP. Formulae according to CERN-EP-2000-058 | |
498 | // Arguments: Cerenkov and azimuthal angles for Cerenkov photon, [radians] | |
499 | // dip and azimuthal angles for MIP taken at the entrance to radiator, [radians] | |
500 | // MIP beta | |
501 | // Returns: absolute error on Cerenkov angle, [radians] | |
502 | ||
503 | Double_t phiDelta = phiC - fTrkDir.Phi(); | |
d3da6dc4 | 504 | |
d3498bf5 | 505 | Double_t sint = TMath::Sin(fTrkDir.Theta()); |
506 | Double_t cost = TMath::Cos(fTrkDir.Theta()); | |
507 | Double_t sinf = TMath::Sin(fTrkDir.Phi()); | |
508 | Double_t cosfd = TMath::Cos(phiDelta); | |
509 | Double_t costheta = TMath::Cos(thetaC); | |
510 | Double_t tantheta = TMath::Tan(thetaC); | |
511 | ||
512 | Double_t alpha =cost-tantheta*cosfd*sint; // formula (11) | |
513 | ||
514 | Double_t k = 1.-fRadNmean*fRadNmean+alpha*alpha/(betaM*betaM); // formula (after 8 in the text) | |
d3da6dc4 | 515 | if (k<0) return 1e10; |
516 | ||
d3498bf5 | 517 | Double_t eTr = 0.5*fgkRadThick*betaM*TMath::Sqrt(k)/(fgkGapThick*alpha); // formula (14) |
518 | Double_t lambda = 1.-sint*sint*sinf*sinf; // formula (15) | |
d3da6dc4 | 519 | |
d3498bf5 | 520 | Double_t c1 = 1./(1.+ eTr*k/(alpha*alpha*costheta*costheta)); // formula (13.a) |
521 | Double_t c2 = betaM*TMath::Power(k,1.5)*tantheta*lambda/(fgkGapThick*alpha*alpha); // formula (13.b) | |
522 | Double_t c3 = (1.+eTr*k*betaM*betaM)/((1+eTr)*alpha*alpha); // formula (13.c) | |
523 | Double_t c4 = TMath::Sqrt(k)*tantheta*(1-lambda)/(fgkGapThick*betaM); // formula (13.d) | |
524 | Double_t dtdT = c1 * (c2+c3*c4); | |
525 | Double_t trErr = fgkRadThick/(TMath::Sqrt(12.)*cost); | |
d3da6dc4 | 526 | |
d3498bf5 | 527 | return trErr*dtdT; |
d3da6dc4 | 528 | }//SigGeom() |
529 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
43400d2d | 530 | // |
611e810d | 531 | // From here HTA.... |
43400d2d | 532 | // |
533 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
afe12692 | 534 | Bool_t AliHMPIDRecon::CkovHiddenTrk(AliESDtrack *pTrk,TClonesArray *pCluLst,Double_t nmean, Double_t qthre) |
43400d2d | 535 | { |
611e810d | 536 | // Pattern recognition method without any infos from tracking:HTA (Hidden Track Algorithm)... |
43400d2d | 537 | // The method finds in the chmber the cluster with the highest charge |
538 | // compatibile with a MIP, then the strategy is applied | |
611e810d | 539 | // Arguments: pTrk - pointer to ESD track |
540 | // pCluLs - list of clusters for a given chamber | |
541 | // nmean - mean freon ref. index | |
542 | // Returns: - 0=ok,1=not fitted | |
543 | ||
43400d2d | 544 | fRadNmean=nmean; |
545 | ||
3b49956b | 546 | if(pCluLst->GetEntriesFast()>100) return kFALSE; //boundary check for CluX,CluY... |
43400d2d | 547 | Float_t mipX=-1,mipY=-1;Int_t mipId=-1,mipQ=-1; |
43400d2d | 548 | Double_t qRef = 0; |
3b49956b | 549 | Int_t nCh=0; |
5b2b2013 | 550 | for (Int_t iClu=0;iClu<pCluLst->GetEntriesFast();iClu++){ //clusters loop |
43400d2d | 551 | AliHMPIDCluster *pClu=(AliHMPIDCluster*)pCluLst->UncheckedAt(iClu); //get pointer to current cluster |
3b49956b | 552 | nCh = pClu->Ch(); |
43400d2d | 553 | fXClu[iClu] = pClu->X();fYClu[iClu] = pClu->Y(); //store x,y for fitting procedure |
5b2b2013 | 554 | fClCk[iClu] = kTRUE; //all cluster are accepted at this stage to be reconstructed |
43400d2d | 555 | if(pClu->Q()>qRef){ //searching the highest charge to select a MIP |
556 | qRef = pClu->Q(); | |
557 | mipId=iClu; mipX=pClu->X();mipY=pClu->Y();mipQ=(Int_t)pClu->Q(); | |
558 | } | |
559 | }//clusters loop | |
43400d2d | 560 | |
5b2b2013 | 561 | fNClu = pCluLst->GetEntriesFast(); |
afe12692 | 562 | if(qRef>qthre){ //charge compartible with MIP clusters |
611e810d | 563 | fIdxMip = mipId; |
5b2b2013 | 564 | fClCk[mipId] = kFALSE; |
611e810d | 565 | fMipX = mipX; fMipY=mipY; fMipQ = qRef; |
3b49956b | 566 | if(!DoRecHiddenTrk(pCluLst)) { |
567 | pTrk->SetHMPIDsignal(kNoPhotAccept); | |
568 | return kFALSE; | |
569 | } //Do track and ring reconstruction,if problems returns 1 | |
570 | pTrk->SetHMPIDtrk(fRadX,fRadY,fThTrkFit,fPhTrkFit); //store track intersection info | |
571 | pTrk->SetHMPIDmip(fMipX,fMipY,(Int_t)fMipQ,fNClu); //store mip info | |
572 | pTrk->SetHMPIDcluIdx(nCh,fIdxMip); //set cham number and index of cluster | |
573 | pTrk->SetHMPIDsignal(fCkovFit); //find best Theta ckov for ring i.e. track | |
574 | pTrk->SetHMPIDchi2(fCkovSig2); //errors squared | |
575 | // Printf(" n clusters tot %i accepted %i",pCluLst->GetEntriesFast(),fNClu); | |
5b2b2013 | 576 | return kTRUE; |
611e810d | 577 | } |
3b49956b | 578 | |
5b2b2013 | 579 | return kFALSE; |
43400d2d | 580 | }//CkovHiddenTrk() |
581 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
5b2b2013 | 582 | Bool_t AliHMPIDRecon::DoRecHiddenTrk(TClonesArray *pCluLst) |
43400d2d | 583 | { |
584 | // Pattern recognition method without any infos from tracking... | |
611e810d | 585 | // First a preclustering filter to avoid part of the noise |
43400d2d | 586 | // Then only ellipsed-rings are fitted (no possibility, |
611e810d | 587 | // for the moment, to reconstruct very inclined tracks) |
588 | // Finally a fitting with (th,ph) free, starting by very close values | |
43400d2d | 589 | // previously evaluated. |
590 | // Arguments: none | |
591 | // Returns: none | |
592 | Double_t phiRec; | |
5b2b2013 | 593 | if(!CluPreFilter(pCluLst)) {return kFALSE;} |
611e810d | 594 | if(!FitEllipse(phiRec)) {return kFALSE;} |
5b2b2013 | 595 | Int_t nClTmp1 = pCluLst->GetEntriesFast()-1; //minus MIP... |
596 | Int_t nClTmp2 = 0; | |
597 | while(nClTmp1 != nClTmp2){ | |
598 | SetNClu(pCluLst->GetEntriesFast()); | |
599 | if(!FitFree(phiRec)) {return kFALSE;} | |
600 | nClTmp2 = NClu(); | |
601 | if(nClTmp2!=nClTmp1) {nClTmp1=nClTmp2;nClTmp2=0;} | |
602 | } | |
603 | fNClu = nClTmp2; | |
604 | return kTRUE; | |
605 | }//DoRecHiddenTrk() | |
43400d2d | 606 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
5b2b2013 | 607 | Bool_t AliHMPIDRecon::CluPreFilter(TClonesArray *pCluLst) |
43400d2d | 608 | { |
609 | // Filter of bkg clusters | |
610 | // based on elliptical-shapes... | |
611 | // | |
5b2b2013 | 612 | if(pCluLst->GetEntriesFast()>50||pCluLst->GetEntriesFast()<4) return kFALSE; |
613 | else return kTRUE; | |
43400d2d | 614 | } |
615 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
616 | Bool_t AliHMPIDRecon::FitEllipse(Double_t &phiRec) | |
617 | { | |
618 | //Fit a set of clusters with an analitical conical section function: | |
619 | // | |
620 | // Ax^2 + B*y^2 + 2Hxy + 2Gx + 2Fy + 1 = 0 ---> conical section | |
621 | // | |
622 | // H*H - A*B > 0 hyperbola | |
623 | // < 0 ellipse | |
624 | // = 0 parabola | |
625 | // | |
626 | // tan 2alfa = 2H/(A-B) alfa=angle of rotation | |
627 | // | |
628 | // coordinate of the centre of the conical section: | |
629 | // x = x' + a | |
630 | // y = y' + b | |
631 | // | |
632 | // HF - BG | |
633 | // a = --------- | |
634 | // AB - H^2 | |
635 | // | |
636 | // HG - AF | |
637 | // b = -------- | |
638 | // AB - H^2 | |
43400d2d | 639 | Double_t cA,cB,cF,cG,cH; |
611e810d | 640 | Double_t aArg=-1; Int_t iErrFlg; //tmp vars for TMinuit |
43400d2d | 641 | |
611e810d | 642 | if(!gMinuit) gMinuit = new TMinuit(5); //init MINUIT with this number of parameters (5 params) |
43400d2d | 643 | gMinuit->mncler(); // reset Minuit list of paramters |
644 | gMinuit->SetObjectFit((TObject*)this); gMinuit->SetFCN(AliHMPIDRecon::FunMinEl); //set fit function | |
c0d7adf8 | 645 | gMinuit->mnexcm("SET PRI",&aArg,1,iErrFlg); //suspend all printout from TMinuit |
646 | gMinuit->mnexcm("SET NOW",&aArg,0,iErrFlg); //suspend all warning printout from TMinuit | |
43400d2d | 647 | |
648 | Double_t d1,d2,d3; | |
649 | TString sName; | |
650 | ||
611e810d | 651 | gMinuit->mnparm(0," A ",1,0.01,0,0,iErrFlg); |
652 | gMinuit->mnparm(1," B ",1,0.01,0,0,iErrFlg); | |
653 | gMinuit->mnparm(2," H ",1,0.01,0,0,iErrFlg); | |
654 | gMinuit->mnparm(3," G ",1,0.01,0,0,iErrFlg); | |
655 | gMinuit->mnparm(4," F ",1,0.01,0,0,iErrFlg); | |
43400d2d | 656 | |
3b49956b | 657 | gMinuit->mnexcm("SIMPLEX",&aArg,0,iErrFlg); |
43400d2d | 658 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); |
659 | gMinuit->mnpout(0,sName,cA,d1,d2,d3,iErrFlg); | |
660 | gMinuit->mnpout(1,sName,cB,d1,d2,d3,iErrFlg); | |
661 | gMinuit->mnpout(2,sName,cH,d1,d2,d3,iErrFlg); | |
662 | gMinuit->mnpout(3,sName,cG,d1,d2,d3,iErrFlg); | |
663 | gMinuit->mnpout(4,sName,cF,d1,d2,d3,iErrFlg); | |
664 | delete gMinuit; | |
665 | ||
666 | Double_t i2 = cA*cB-cH*cH; //quartic invariant : i2 > 0 ellipse, i2 < 0 hyperbola | |
096ddc3f | 667 | if(i2<=0) return kFALSE; |
43400d2d | 668 | Double_t aX = (cH*cF-cB*cG)/i2; //x centre of the canonical section |
669 | Double_t bY = (cH*cG-cA*cF)/i2; //y centre of the canonical section | |
670 | Double_t alfa1 = TMath::ATan(2*cH/(cA-cB)); //alpha = angle of rotation of the conical section | |
671 | if(alfa1<0) alfa1+=TMath::Pi(); | |
672 | alfa1*=0.5; | |
3b49956b | 673 | // Double_t alfa2 = alfa1+TMath::Pi(); |
674 | Double_t phiref = TMath::ATan2(bY-fMipY,aX-fMipX); //evaluate in a unique way the angle of rotation comparing it | |
675 | if(phiref<0) phiref+=TMath::TwoPi(); //with the vector that points to the centre from the mip | |
43400d2d | 676 | if(i2<0) phiref+=TMath::Pi(); |
677 | if(phiref>TMath::TwoPi()) phiref-=TMath::TwoPi(); | |
678 | ||
679 | // Printf(" alfa1 %f",alfa1*TMath::RadToDeg()); | |
680 | // Printf(" alfa2 %f",alfa2*TMath::RadToDeg()); | |
681 | // Printf(" firef %f",phiref*TMath::RadToDeg()); | |
3b49956b | 682 | // if(TMath::Abs(alfa1-phiref)<TMath::Abs(alfa2-phiref)) phiRec = alfa1; else phiRec = alfa2; |
43400d2d | 683 | |
3b49956b | 684 | // Printf("FitEllipse: phi reconstructed %f",phiRec*TMath::RadToDeg()); |
685 | phiRec=phiref; | |
096ddc3f | 686 | return kTRUE; |
43400d2d | 687 | // |
688 | } | |
689 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
611e810d | 690 | Bool_t AliHMPIDRecon::FitFree(Double_t phiRec) |
43400d2d | 691 | { |
692 | // Fit performed by minimizing RMS/sqrt(n) of the | |
693 | // photons reconstructed. First phi is fixed and theta | |
694 | // is fouond, then (th,ph) of the track | |
695 | // as free parameters | |
696 | // Arguments: PhiRec phi of the track | |
697 | // Returns: none | |
611e810d | 698 | Double_t aArg=-1; Int_t iErrFlg; //tmp vars for TMinuit |
699 | if(!gMinuit) gMinuit = new TMinuit(2); //init MINUIT with this number of parameters (5 params) | |
43400d2d | 700 | gMinuit->mncler(); // reset Minuit list of paramters |
701 | gMinuit->SetObjectFit((TObject*)this); gMinuit->SetFCN(AliHMPIDRecon::FunMinPhot); //set fit function | |
702 | gMinuit->mnexcm("SET PRI",&aArg,1,iErrFlg); //suspend all printout from TMinuit | |
703 | gMinuit->mnexcm("SET NOW",&aArg,0,iErrFlg); //suspend all warning printout from TMinuit | |
704 | ||
705 | Double_t d1,d2,d3; | |
706 | TString sName; | |
707 | Double_t th,ph; | |
708 | ||
611e810d | 709 | gMinuit->mnparm(0," theta ", 0.01,0.01,0,TMath::PiOver2(),iErrFlg); |
710 | gMinuit->mnparm(1," phi ",phiRec,0.01,0,TMath::TwoPi() ,iErrFlg); | |
43400d2d | 711 | |
712 | gMinuit->FixParameter(1); | |
713 | gMinuit->mnexcm("SIMPLEX" ,&aArg,0,iErrFlg); | |
714 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); | |
715 | gMinuit->Release(1); | |
716 | gMinuit->mnexcm("MIGRAD" ,&aArg,0,iErrFlg); | |
717 | ||
718 | gMinuit->mnpout(0,sName,th,d1,d2,d3,iErrFlg); | |
719 | gMinuit->mnpout(1,sName,ph,d1,d2,d3,iErrFlg); | |
611e810d | 720 | |
721 | Double_t outPar[2] = {th,ph}; Double_t g; Double_t f;Int_t flag = 3; | |
722 | gMinuit->Eval(2, &g, f, outPar,flag); | |
723 | ||
724 | SetTrkFit(th,ph); | |
43400d2d | 725 | |
611e810d | 726 | return kTRUE; |
43400d2d | 727 | } |
728 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
729 | Double_t AliHMPIDRecon::FunConSect(Double_t *c,Double_t x,Double_t y) | |
730 | { | |
731 | return c[0]*x*x+c[1]*y*y+2*c[2]*x*y+2*c[3]*x+2*c[4]*y+1; | |
732 | } | |
733 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
734 | void AliHMPIDRecon::FunMinEl(Int_t &/* */,Double_t* /* */,Double_t &f,Double_t *par,Int_t /* */) | |
735 | { | |
736 | AliHMPIDRecon *pRec=(AliHMPIDRecon*)gMinuit->GetObjectFit(); | |
737 | Double_t minFun = 0; | |
738 | Int_t np = pRec->NClu(); | |
739 | for(Int_t i=0;i<np;i++) { | |
740 | if(i==pRec->IdxMip()) continue; | |
741 | Double_t el = pRec->FunConSect(par,pRec->XClu(i),pRec->YClu(i)); | |
742 | minFun +=el*el; | |
743 | } | |
744 | f = minFun; | |
745 | } | |
746 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ | |
611e810d | 747 | void AliHMPIDRecon::FunMinPhot(Int_t &/* */,Double_t* /* */,Double_t &f,Double_t *par,Int_t iflag) |
43400d2d | 748 | { |
749 | AliHMPIDRecon *pRec=(AliHMPIDRecon*)gMinuit->GetObjectFit(); | |
611e810d | 750 | Double_t sizeCh = 0.5*fgkRadThick+fgkWinThick+fgkGapThick; |
43400d2d | 751 | Double_t thTrk = par[0]; |
752 | Double_t phTrk = par[1]; | |
753 | Double_t xrad = pRec->MipX() - sizeCh*TMath::Tan(thTrk)*TMath::Cos(phTrk); | |
754 | Double_t yrad = pRec->MipY() - sizeCh*TMath::Tan(thTrk)*TMath::Sin(phTrk); | |
611e810d | 755 | pRec->SetRadXY(xrad,yrad); |
43400d2d | 756 | pRec->SetTrack(xrad,yrad,thTrk,phTrk); |
757 | ||
5b2b2013 | 758 | Double_t meanCkov =0; |
43400d2d | 759 | Double_t meanCkov2=0; |
760 | Double_t thetaCer,phiCer; | |
5b2b2013 | 761 | Int_t nClAcc = 0; |
762 | Int_t nClTot=pRec->NClu(); | |
763 | ||
764 | for(Int_t i=0;i<nClTot;i++) { | |
765 | if(!(pRec->ClCk(i))) continue; | |
43400d2d | 766 | pRec->FindPhotCkov(pRec->XClu(i),pRec->YClu(i),thetaCer,phiCer); |
43400d2d | 767 | meanCkov += thetaCer; |
768 | meanCkov2 += thetaCer*thetaCer; | |
5b2b2013 | 769 | nClAcc++; |
43400d2d | 770 | } |
096ddc3f | 771 | if(nClAcc==0) {f=999;return;} |
5b2b2013 | 772 | meanCkov/=nClAcc; |
096ddc3f | 773 | Double_t rms = (meanCkov2 - meanCkov*meanCkov*nClAcc)/nClAcc; |
774 | if(rms<0) Printf(" rms2 = %f, strange!!!",rms); | |
775 | rms = TMath::Sqrt(rms); | |
5b2b2013 | 776 | f = rms/TMath::Sqrt(nClAcc); |
611e810d | 777 | |
5b2b2013 | 778 | |
779 | if(iflag==3) { | |
780 | Printf("FunMinPhot before: photons candidates %i used %i",nClTot,nClAcc); | |
781 | nClAcc = 0; | |
782 | Double_t meanCkov1=0; | |
3b49956b | 783 | Double_t meanCkov2=0; |
5b2b2013 | 784 | for(Int_t i=0;i<nClTot;i++) { |
785 | if(!(pRec->ClCk(i))) continue; | |
786 | pRec->FindPhotCkov(pRec->XClu(i),pRec->YClu(i),thetaCer,phiCer); | |
787 | if(TMath::Abs(thetaCer-meanCkov)<2*rms) { | |
3b49956b | 788 | meanCkov1 += thetaCer; |
789 | meanCkov2 += thetaCer*thetaCer; | |
5b2b2013 | 790 | nClAcc++; |
791 | } else pRec->SetClCk(i,kFALSE); | |
792 | } | |
793 | meanCkov1/=nClAcc; | |
3b49956b | 794 | Double_t rms2 = (meanCkov2 - meanCkov*meanCkov*nClAcc)/nClAcc; |
5b2b2013 | 795 | Printf("FunMinPhot after: photons candidates %i used %i thetaCer %f",nClTot,nClAcc,meanCkov1); |
796 | pRec->SetCkovFit(meanCkov1); | |
3b49956b | 797 | pRec->SetCkovSig2(rms2); |
5b2b2013 | 798 | pRec->SetNClu(nClAcc); |
799 | } | |
43400d2d | 800 | }//FunMinPhot() |
611e810d | 801 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
802 | // | |
803 | // ended Hidden track algorithm.... | |
804 | // | |
805 | //++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |