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 **************************************************************************/
18 Revision 1.4 2000/06/30 16:33:43 dibari
19 Several changes (ring drawing, fiducial selection, etc.)
21 Revision 1.3 2000/06/15 15:47:12 jbarbosa
22 Corrected compilation errors on HP-UX (replaced pow with TMath::Power)
24 Revision 1.2 2000/06/12 15:26:09 jbarbosa
27 Revision 1.1 2000/06/09 14:53:01 jbarbosa
28 Bari's pattern recognition algorithm
32 #include "AliRICHHit.h"
33 #include "AliRICHCerenkov.h"
34 #include "AliRICHPadHit.h"
35 #include "AliRICHDigit.h"
36 #include "AliRICHRawCluster.h"
37 #include "AliRICHRecHit.h"
39 #include "AliDetector.h"
41 #include "AliRICHPoints.h"
42 #include "AliRICHSegmentation.h"
43 #include "AliRICHPatRec.h"
45 #include "AliRICHConst.h"
46 #include "AliRICHPoints.h"
48 #include "AliRICHHitMap.h"
50 #include <TParticle.h>
57 ClassImp(AliRICHPatRec)
58 //___________________________________________
59 AliRICHPatRec::AliRICHPatRec() : TObject()
61 // Default constructor
65 //___________________________________________
66 AliRICHPatRec::AliRICHPatRec(const char *name, const char *title)
69 //Constructor for Bari's pattern recogniton method object
72 void AliRICHPatRec::PatRec()
75 // Pattern recognition algorithm
77 AliRICHChamber* iChamber;
78 AliRICHSegmentation* segmentation;
80 Int_t ntracks, ndigits[kNCH];
91 printf("PatRec started\n");
93 AliRICH *pRICH = (AliRICH*)gAlice->GetDetector("RICH");
94 TTree *treeH = gAlice->TreeH();
96 ntracks =(Int_t) treeH->GetEntries();
98 for (itr=0; itr<ntracks; itr++) {
100 status = TrackParam(itr,ich);
101 if(status==1) continue;
102 //printf(" theta %f phi %f track \n",fTrackTheta,fTrackPhi);
103 // ring->Fill(fTrackLoc[0],fTrackLoc[1],100.);
105 iChamber = &(pRICH->Chamber(ich));
106 segmentation=iChamber->GetSegmentationModel();
108 nent=(Int_t)gAlice->TreeD()->GetEntries();
109 gAlice->TreeD()->GetEvent(nent-1);
110 TClonesArray *pDigitss = pRICH->DigitsAddress(ich);
111 ndigits[ich] = pDigitss->GetEntriesFast();
112 printf("Digits in chamber %d: %d\n",ich,ndigits[ich]);
113 AliRICHDigit *padI = 0;
117 for (Int_t dig=0;dig<ndigits[ich];dig++) {
118 padI=(AliRICHDigit*) pDigitss->UncheckedAt(dig);
122 segmentation->GetPadCxy(x,y,rx,ry);
124 //printf("Pad coordinates x:%d, Real coordinates x:%f\n",x,rx);
125 //printf("Pad coordinates y:%d, Real coordinates y:%f\n",y,ry);
131 fCerenkovAnglePad = PhotonCerenkovAngle();
132 if(fCerenkovAnglePad==-999) continue;
134 if(!PhotonInBand()) continue;
139 segmentation->GetPadIxy(fXpad,fYpad,xpad,ypad);
141 padsUsedX[goodPhotons]=xpad;
142 padsUsedY[goodPhotons]=ypad;
145 fEtaPhotons[goodPhotons-1] = fCerenkovAnglePad;
147 fNumEtaPhotons = goodPhotons;
149 BackgroundEstimation();
152 //CerenkovRingDrawing();
156 rechit[2] = fThetaCerenkov;
157 rechit[3] = fXshift + fTrackLoc[0];
158 rechit[4] = fYshift + fTrackLoc[1];
159 rechit[5] = fEmissPoint;
160 rechit[6] = goodPhotons;
162 //printf("Center coordinates:%f %f\n",rechit[3],rechit[4]);
164 pRICH->AddRecHit(ich,rechit,fEtaPhotons,padsUsedX,padsUsedY);
168 gAlice->TreeR()->Fill();
170 for (i=0;i<kNCH;i++) {
171 fRec=pRICH->RecHitsAddress(i);
172 int ndig=fRec->GetEntriesFast();
173 printf ("Chamber %d, rings %d\n",i,ndig);
175 pRICH->ResetRecHits();
180 Int_t AliRICHPatRec::TrackParam(Int_t itr, Int_t &ich)
182 // Get Local coordinates of track impact
184 AliRICHChamber* iChamber;
185 AliRICHSegmentation* segmentation;
187 Float_t trackglob[3];
195 printf("Calling TrackParam\n");
198 TTree *treeH = gAlice->TreeH();
199 treeH->GetEvent(itr);
201 AliRICH *pRICH = (AliRICH*)gAlice->GetDetector("RICH");
202 AliRICHHit* mHit=(AliRICHHit*)pRICH->FirstHit(-1);
203 if(mHit==0) return 1;
204 ich = mHit->fChamber-1;
205 trackglob[0] = mHit->fX;
206 trackglob[1] = mHit->fY;
207 trackglob[2] = mHit->fZ;
211 fTrackMom = sqrt(TMath::Power(pX,2)+TMath::Power(pY,2)+TMath::Power(pZ,2));
212 thetatr = (mHit->fTheta)*(Float_t)kDegrad;
213 phitr = mHit->fPhi*(Float_t)kDegrad;
215 part = mHit->fParticle;
217 iChamber = &(pRICH->Chamber(ich));
218 iChamber->GlobaltoLocal(trackglob,trackloc);
220 segmentation=iChamber->GetSegmentationModel();
222 // retrieve geometrical params
224 AliRICHGeometry* fGeometry=iChamber->GetGeometryModel();
226 fRw = fGeometry->GetFreonThickness();
227 fQw = fGeometry->GetQuartzThickness();
228 fTgap = fGeometry->GetGapThickness();
229 Float_t radiatorToPads= fGeometry->GetRadiatorToPads();
230 //+ fGeometry->GetProximityGapThickness();
232 //printf("Distance to pads. From geometry:%f, From calculations:%f\n",radiatorToPads,fRw + fQw + fTgap);
234 //Float_t apar = (fRw + fQw + fTgap)*tan(thetatr);
235 Float_t apar = radiatorToPads*tan(thetatr);
236 fTrackLoc[0] = apar*cos(phitr);
237 fTrackLoc[1] = apar*sin(phitr);
238 //fTrackLoc[2] = fRw + fQw + fTgap;
239 fTrackLoc[2] = radiatorToPads;
240 fTrackTheta = thetatr;
243 fXshift = trackloc[0] - fTrackLoc[0];
244 fYshift = trackloc[2] - fTrackLoc[1];
249 Float_t AliRICHPatRec::EstimationAtLimits(Float_t lim, Float_t radius,
253 // Estimation of emission point
255 Float_t nquartz = 1.585;
257 Float_t nfreon = 1.295;
260 // printf("Calling EstimationLimits\n");
262 Float_t apar = (fRw -fEmissPoint + fQw + fTgap)*tan(fTrackTheta);
263 Float_t b1 = (fRw-fEmissPoint)*tan(lim);
264 Float_t b2 = fQw / sqrt(TMath::Power(nquartz,2)-TMath::Power(nfreon*sin(lim),2));
265 Float_t b3 = fTgap / sqrt(TMath::Power(ngas,2)-TMath::Power(nfreon*sin(lim),2));
266 Float_t bpar = b1 + nfreon*sin(lim)*(b2+b3);
267 value = TMath::Power(radius,2)
268 -TMath::Power((apar*cos(fTrackPhi)-bpar*cos(phiphot)),2)
269 -TMath::Power((apar*sin(fTrackPhi)-bpar*sin(phiphot)),2);
274 Float_t AliRICHPatRec::PhotonCerenkovAngle()
276 // Cherenkov pad angle reconstruction
280 Float_t cherMax = 0.8;
282 Float_t eps = 0.0001;
283 Int_t niterEmiss = 0;
284 Int_t niterEmissMax = 0;
285 Float_t x1,x2,x3=0,p1,p2,p3;
289 // printf("Calling PhotonCerenkovAngle\n");
291 radius = sqrt(TMath::Power(fTrackLoc[0]-fXpad,2)+TMath::Power(fTrackLoc[1]-fYpad,2));
292 fEmissPoint = fRw/2.; //Start value of EmissionPoint
294 while(niterEmiss<=niterEmissMax) {
297 argY = fYpad - fEmissPoint*tan(fTrackTheta)*sin(fTrackPhi);
298 argX = fXpad - fEmissPoint*tan(fTrackTheta)*cos(fTrackPhi);
299 phiphot = atan2(argY,argX);
300 p1 = EstimationAtLimits(cherMin,radius,phiphot);
301 p2 = EstimationAtLimits(cherMax,radius,phiphot);
304 // printf("PhotonCerenkovAngle failed\n");
308 //start to find the Cherenkov pad angle
312 p3 = EstimationAtLimits(x3,radius,phiphot);
313 while(TMath::Abs(p3)>eps){
317 p1 = EstimationAtLimits(x1,radius,phiphot);
320 p3 = EstimationAtLimits(x3,radius,phiphot);
324 // printf(" max iterations in PhotonCerenkovAngle\n");
328 // printf("niterFun %i \n",niterFun);
330 if (niterEmiss != niterEmissMax+1) EmissionPoint();
333 printf(" phiphot %f fXpad %f fYpad %f fEmiss %f \n",
334 phiphot,fXpad,fYpad,fEmissPoint);
342 void AliRICHPatRec::EmissionPoint()
345 // Find emission point
347 Float_t absorbtionLength=7.83*fRw; //absorption length in the freon (cm)
348 // 7.83 = -1/ln(T0) where
349 // T0->Trasmission freon at 180nm = 0.88 (Eph=6.85eV)
350 Float_t photonLength, photonLengthMin, photonLengthMax;
352 photonLength=exp(-fRw/(absorbtionLength*cos(fCerenkovAnglePad)));
353 photonLengthMin=fRw*photonLength/(1.-photonLength);
354 photonLengthMax=absorbtionLength*cos(fCerenkovAnglePad);
355 fEmissPoint = fRw + photonLengthMin - photonLengthMax;
359 void AliRICHPatRec::PhotonSelection(Int_t track, Int_t &nphot, Float_t &thetamean)
362 // not implemented yet
364 printf("Calling PhotonSelection\n");
367 void AliRICHPatRec::BackgroundEstimation()
370 // estimate background noise
372 Float_t stepEta = 0.001;
373 Float_t etaMinBkg = 0.72;
374 Float_t etaMaxBkg = 0.75;
376 Float_t etaMax = 0.75;
378 Float_t nfreon = 1.295;
380 Float_t etaStepMin,etaStepMax,etaStepAvg;
382 Int_t numPhotBkg, numPhotonStep;
383 Float_t funBkg,areaBkg,normBkg;
384 Float_t densityBkg,storeBkg,numStore;
390 nstep = (int)((etaMaxBkg-etaMinBkg)/stepEta);
392 for (i=0;i<fNumEtaPhotons;i++) {
394 if(fEtaPhotons[i]>etaMinBkg && fEtaPhotons[i]<etaMaxBkg) {
398 if (numPhotBkg == 0) {
399 for (i=0;i<fNumEtaPhotons;i++) {
400 fWeightPhotons[i] = 1.;
405 // printf(" numPhotBkg %i ",numPhotBkg);
407 for (i=0;i<nstep;i++) {
408 etaStepMin = etaMinBkg + (Float_t)(i)*stepEta;
409 etaStepMax = etaMinBkg + (Float_t)(i+1)*stepEta;
410 etaStepAvg = 0.5*(etaStepMax + etaStepMin);
412 funBkg = tan(etaStepAvg)*TMath::Power((1.+TMath::Power(tan(etaStepAvg),2)),
413 5.52)-7.803 + 22.02*tan(etaStepAvg);
415 thetaSig = asin(nfreon/ngas*sin(etaStepAvg));
416 funBkg = tan(thetaSig)*(1.+TMath::Power(tan(thetaSig),2))*nfreon
417 /ngas*cos(etaStepAvg)/cos(thetaSig);
418 areaBkg += stepEta*funBkg;
421 densityBkg = 0.95*(Float_t)(numPhotBkg)/areaBkg;
422 // printf(" densityBkg %f \n",densityBkg);
424 nstep = (int)((etaMax-etaMin)/stepEta);
427 for (i=0;i<nstep;i++) {
428 etaStepMin = etaMinBkg + (Float_t)(i)*stepEta;
429 etaStepMax = etaMinBkg + (Float_t)(i+1)*stepEta;
430 etaStepAvg = 0.5*(etaStepMax + etaStepMin);
432 funBkg = tan(etaStepAvg)*TMath::Power((1.+TMath::Power(tan(etaStepAvg),2)),
433 5.52)-7.803 + 22.02*tan(etaStepAvg);
436 thetaSig = asin(nfreon/ngas*sin(etaStepAvg));
437 funBkg = tan(thetaSig)*(1.+TMath::Power(tan(thetaSig),2))*nfreon
438 /ngas*cos(etaStepAvg)/cos(thetaSig);
440 areaBkg = stepEta*funBkg;
441 normBkg = densityBkg*areaBkg;
443 for (ip=0;ip<fNumEtaPhotons;ip++) {
444 if(fEtaPhotons[ip]>etaStepMin && fEtaPhotons[ip]<etaStepMax) {
448 if (numPhotonStep == 0) {
456 if (numPhotonStep == 0) continue;
457 for (ip=0;ip<fNumEtaPhotons;ip++) {
458 if(fEtaPhotons[ip]>etaStepMin && fEtaPhotons[ip]<etaStepMax) {
462 fWeightPhotons[ip] = 1. - normBkg/(Float_t)(numPhotonStep);
464 printf(" normBkg %f numPhotonStep %i fW %f \n",
465 normBkg, numPhotonStep, fWeightPhotons[ip]);
467 if(fWeightPhotons[ip]<0) fWeightPhotons[ip] = 0.;
474 void AliRICHPatRec::FlagPhotons(Int_t track, Float_t theta)
477 // not implemented yet
479 printf("Calling FlagPhotons\n");
483 //////////////////////////////////////////
489 Int_t AliRICHPatRec::PhotonInBand()
491 //0=label for parameters giving internal band ellipse
492 //1=label for parameters giving external band ellipse
494 Float_t imp[2], mass[2], energy[2], beta[2];
495 Float_t emissPointLength[2];
496 Float_t e1, e2, f1, f2;
497 Float_t nfreon[2], nquartz[2];
499 Float_t pointsOnCathode[3];
501 Float_t phpad, thetacer[2];
502 Float_t bandradius[2], padradius;
504 imp[0] = 5.0; //threshold momentum for the proton Cherenkov emission
507 mass[0] = 0.938; //proton mass
508 mass[1] = 0.139; //pion mass
510 emissPointLength[0] = fRw-0.0001; //at the beginning of the radiator
511 emissPointLength[1] = 0.;//at the end of radiator
513 //parameters to calculate freon window refractive index vs. energy
517 //parameters to calculate quartz window refractive index vs. energy
531 for (times=0; times<=1; times++) {
533 nfreon[times] = a+b*energy[times];
536 nquartz[times] = sqrt(1+(f1/(TMath::Power(e1,2)-TMath::Power(energy[times],2)))+
537 (f2/(TMath::Power(e2,2)-TMath::Power(energy[times],2))));
539 beta[times] = imp[times]/sqrt(TMath::Power(imp[times],2)+TMath::Power(mass[times],2));
541 thetacer[times] = CherenkovAngle( nfreon[times], beta[times]);
543 bandradius[times] = DistanceFromMip( nfreon[times], nquartz[times],
544 emissPointLength[times],
545 thetacer[times], phpad, pointsOnCathode);
546 //printf(" ppp %f %f %f \n",pointsOnCathode);
549 bandradius[0] -= 1.6;
550 bandradius[1] += 1.6;
551 padradius = sqrt(TMath::Power(fXpad,2)+TMath::Power(fYpad,2));
552 // printf(" rmin %f r %f rmax %f \n",bandradius[0],padradius,bandradius[1]);
554 if(padradius>=bandradius[0] && padradius<=bandradius[1]) return 1;
558 Float_t AliRICHPatRec::DistanceFromMip(Float_t nfreon, Float_t nquartz,
559 Float_t emissPointLength, Float_t thetacer,
560 Float_t phpad, Float_t pointsOnCathode[3])
563 // Find the distance to MIP impact
565 Float_t distanceValue;
567 TVector3 radExitPhot(1,1,1);//photon impact at the radiator exit with respect
568 //to local reference sistem with the origin in the MIP entrance
570 TVector3 vectEmissPointLength(1,1,1);
571 Float_t magEmissPointLenght;
573 TVector3 radExitPhot2(1,1,1);//photon impact at the radiator exit with respect
574 Float_t magRadExitPhot2;
575 //to a reference sistem with origin in the photon emission point and
576 //axes parallel to the MIP reference sistem
578 TVector3 quarExitPhot(1,1,1);//photon impact at the quartz exit with respect
579 Float_t magQuarExitPhot;
581 TVector3 gapExitPhot(1,1,1) ;
582 Float_t magGapExitPhot;
584 TVector3 PhotocatExitPhot(1,1,1);
586 Double_t thetarad , phirad ;
587 Double_t thetaquar, phiquar;
588 Double_t thetagap , phigap ;
592 magEmissPointLenght = emissPointLength/cos(fTrackTheta);
594 vectEmissPointLength.SetMag(magEmissPointLenght);
595 vectEmissPointLength.SetTheta(fTrackTheta);
596 vectEmissPointLength.SetPhi(fTrackPhi);
599 radExitPhot2.SetTheta(thetacer);
600 radExitPhot2.SetPhi(phpad);
607 r1. RotateY(fTrackTheta);
608 r2. RotateZ(fTrackPhi);
612 r = r2 * r1;//rotation about the y axis by MIP theta incidence angle
613 //following by a rotation about the z axis by MIP phi incidence angle;
616 radExitPhot2 = r * radExitPhot2;
617 theta2 = radExitPhot2.Theta();
618 magRadExitPhot2 = (fRw - vectEmissPointLength(2))/cos(theta2);
619 radExitPhot2.SetMag(magRadExitPhot2);
622 radExitPhot = vectEmissPointLength + radExitPhot2;
623 thetarad = radExitPhot.Theta();
624 phirad = radExitPhot.Phi(); //check on the original file //
626 thetaquar = SnellAngle( nfreon, nquartz, theta2);
627 phiquar = radExitPhot2.Phi();
628 if(thetaquar == 999.) return thetaquar;
629 magQuarExitPhot = fQw/cos(thetaquar);
630 quarExitPhot.SetMag( magQuarExitPhot);
631 quarExitPhot.SetTheta(thetaquar);
632 quarExitPhot.SetPhi(phiquar);
634 thetagap = SnellAngle( nquartz, ngas, thetaquar);
636 if(thetagap == 999.) return thetagap;
637 magGapExitPhot = fTgap/cos(thetagap);
638 gapExitPhot.SetMag( magGapExitPhot);
639 gapExitPhot.SetTheta(thetagap);
640 gapExitPhot.SetPhi(phigap);
642 PhotocatExitPhot = radExitPhot + quarExitPhot + gapExitPhot;
644 distanceValue = sqrt(TMath::Power(PhotocatExitPhot(0),2)
645 +TMath::Power(PhotocatExitPhot(1),2));
646 pointsOnCathode[0] = (Float_t) PhotocatExitPhot(0) + fXshift - fTrackLoc[0];
647 pointsOnCathode[1] = (Float_t) PhotocatExitPhot(1) + fYshift - fTrackLoc[1];
648 pointsOnCathode[2] = (Float_t) PhotocatExitPhot(2);
650 //printf(" point in Distance.2. %f %f %f \n",pointsOnCathode[0],pointsOnCathode[1],pointsOnCathode[2]);
652 return distanceValue;
656 Float_t AliRICHPatRec::PhiPad()
662 Float_t thetapad, phipad;
663 Float_t thetarot, phirot;
665 zpad = fRw + fQw + fTgap;
667 TVector3 photonPad(fXpad, fYpad, zpad);
668 thetapad = photonPad.Theta();
669 phipad = photonPad.Phi();
675 thetarot = - fTrackTheta;
676 phirot = - fTrackPhi;
678 r2. RotateY(thetarot);
680 r = r2 * r1;//rotation about the z axis by MIP -phi incidence angle
681 //following by a rotation about the y axis by MIP -theta incidence angle;
683 photonPad = r * photonPad;
685 phipad = photonPad.Phi();
690 Float_t AliRICHPatRec:: SnellAngle(Float_t n1, Float_t n2, Float_t theta1)
693 // Compute the Snell angle
695 Float_t sinrefractangle;
696 Float_t refractangle;
698 sinrefractangle = (n1/n2)*sin(theta1);
700 if(sinrefractangle>1.) {
705 refractangle = asin(sinrefractangle);
709 Float_t AliRICHPatRec::CherenkovAngle(Float_t n, Float_t beta)
712 // Compute the cerenkov angle
721 thetacer = acos (1./(n*beta));
725 Float_t AliRICHPatRec::BetaCerenkov(Float_t n, Float_t theta)
732 beta = 1./(n*cos(theta));
739 void AliRICHPatRec::HoughResponse()
743 // Implement Hough response pat. rec. method
748 int i, j, k, nCorrBand;
751 float angle, thetaCerMean;
756 float stepEta = 0.001;
757 float windowEta = 0.040;
761 float etaPeakPos = -1;
762 Int_t etaPeakCount = -1;
767 nBin = (int)(0.5+etaMax/(stepEta));
768 nCorrBand = (int)(0.5+ windowEta/(2 * stepEta));
769 memset ((void *)hcs, 0, etaBin*sizeof(int));
771 for (k=0; k< fNumEtaPhotons; k++) {
773 angle = fEtaPhotons[k];
775 if (angle>=etaMin && angle<= etaMax) {
776 bin = (int)(0.5+angle/(stepEta));
780 if (bin2>nBin) bin2=nBin;
782 for (j=bin1; j<bin2; j++) {
783 hcs[j] += fWeightPhotons[k];
786 thetaCerMean += angle;
790 thetaCerMean /= fNumEtaPhotons;
794 for (bin=0; bin <nBin; bin++) {
795 angle = (bin+0.5) * (stepEta);
796 if (hcs[bin] && hcs[bin] > etaPeakPos) {
798 etaPeakPos = hcs[bin];
802 if (hcs[bin] == etaPeakPos) {
803 etaPeak[++etaPeakCount] = angle;
808 for (i=0; i<etaPeakCount+1; i++) {
809 fThetaCerenkov += etaPeak[i];
811 if (etaPeakCount>=0) {
812 fThetaCerenkov /= etaPeakCount+1;
813 fThetaPeakPos = etaPeakPos;
818 void AliRICHPatRec::HoughFiltering(float hcs[])
824 float k[5] = {0.05, 0.25, 0.4, 0.25, 0.05};
831 float stepEta = 0.001;
833 nBin = (int)(1+etaMax/stepEta);
834 sizeHCS = etaBin*sizeof(float);
836 memset ((void *)hcsFilt, 0, sizeHCS);
838 for (nx = 0; nx < nBin; nx++) {
839 for (i = 0; i < 5; i++) {
841 if (nxDx> -1 && nxDx<nBin)
842 hcsFilt[nx] += hcs[nxDx] * k[i];
846 for (nx = 0; nx < nBin; nx++) {
847 hcs[nx] = hcsFilt[nx];
851 /*void AliRICHPatRec::CerenkovRingDrawing()
854 //to draw Cherenkov ring by known Cherenkov angle
859 Float_t nfreonave, nquartzave;
862 Float_t e1, e2, f1, f2;
865 //parameters to calculate freon window refractive index vs. energy
870 //parameters to calculate quartz window refractive index vs. energy
882 for (Nphpad=0; Nphpad<nmaxdegrees;Nphpad++) {
884 phpad = (360./(Float_t)nmaxdegrees)*(Float_t)Nphpad;
886 aveEnerg = (energy[0]+energy[1])/2.;
888 nfreonave = a+b*aveEnerg;
889 nquartzave = sqrt(1+(f1/(TMath::Power(e1,2)-TMath::Power(aveEnerg,2)))+
890 (f2/(TMath::Power(e2,2)-TMath::Power(aveEnerg,2))));
892 bandradius = DistanceFromMip(nfreonave, nquartzave,
893 fEmissPoint,fThetaCerenkov, phpad);
895 fCoordEllipse[0][Nphpad] = fOnCathode[0];
896 fCoordEllipse[1][Nphpad] = fOnCathode[1];
897 printf(" values %f %f \n",fOnCathode[0],fOnCathode[1]);