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18 //_________________________________________________________________________
19 // Implementation version v1 of PHOS Manager class
22 // Layout EMC + CPV has name IHEP:
23 // Produces hits for CPV, cumulated hits
26 //*-- Author: Yves Schutz (SUBATECH)
29 // --- ROOT system ---
30 #include <TParticle.h>
31 #include <TVirtualMC.h>
33 // --- Standard library ---
36 // --- AliRoot header files ---
37 #include "AliPHOSCPVDigit.h"
38 #include "AliPHOSGeometry.h"
39 #include "AliPHOSHit.h"
40 #include "AliPHOSQAFloatCheckable.h"
41 #include "AliPHOSQAIntCheckable.h"
42 #include "AliPHOSQAMeanChecker.h"
43 #include "AliPHOSv1.h"
49 //____________________________________________________________________________
50 AliPHOSv1::AliPHOSv1():
53 // default ctor: initialze data memebers
59 fLightYieldMean = 0. ;
60 fIntrinsicPINEfficiency = 0. ;
61 fLightYieldAttenuation = 0. ;
62 fRecalibrationFactor = 0. ;
63 fElectronsPerGeV = 0. ;
70 //____________________________________________________________________________
71 AliPHOSv1::AliPHOSv1(const char *name, const char *title):
76 // - fHits (the "normal" one), which retains the hits associated with
77 // the current primary particle being tracked
78 // (this array is reset after each primary has been tracked).
83 // We do not want to save in TreeH the raw hits
84 // But save the cumulated hits instead (need to create the branch myself)
85 // It is put in the Digit Tree because the TreeH is filled after each primary
86 // and the TreeD at the end of the event (branch is set in FinishEvent() ).
88 fHits= new TClonesArray("AliPHOSHit",1000) ;
89 gAlice->GetMCApp()->AddHitList(fHits) ;
93 fIshunt = 2 ; // All hits are associated with primary particles
95 //Photoelectron statistics:
96 // The light yield is a poissonian distribution of the number of
97 // photons created in the PbWo4 crystal, calculated using following formula
98 // NumberOfPhotons = EnergyLost * LightYieldMean* APDEfficiency *
99 // exp (-LightYieldAttenuation * DistanceToPINdiodeFromTheHit);
100 // LightYieldMean is parameter calculated to be over 47000 photons per GeV
101 // APDEfficiency is 0.02655
102 // k_0 is 0.0045 from Valery Antonenko
103 // The number of electrons created in the APD is
104 // NumberOfElectrons = APDGain * LightYield
105 // The APD Gain is 300
106 fLightYieldMean = 47000;
107 fIntrinsicPINEfficiency = 0.02655 ; //APD= 0.1875/0.1271 * 0.018 (PIN)
108 fLightYieldAttenuation = 0.0045 ;
109 fRecalibrationFactor = 13.418/ fLightYieldMean ;
110 fElectronsPerGeV = 2.77e+8 ;
112 fLightFactor = fLightYieldMean * fIntrinsicPINEfficiency ;
113 fAPDFactor = (fRecalibrationFactor/100.) * fAPDGain ;
116 Int_t nb = GetGeometry()->GetNModules() ;
119 fQAHitsMul = new AliPHOSQAIntCheckable("HitsM") ;
120 fQATotEner = new AliPHOSQAFloatCheckable("TotEn") ;
121 fQAHitsMulB = new TClonesArray("AliPHOSQAIntCheckable",nb) ;
122 fQAHitsMulB->SetOwner() ;
123 fQATotEnerB = new TClonesArray("AliPHOSQAFloatCheckable", nb);
124 fQATotEnerB->SetOwner() ;
127 for ( i = 0 ; i < nb ; i++ ) {
128 sprintf(tempo, "HitsMB%d", i+1) ;
129 new( (*fQAHitsMulB)[i]) AliPHOSQAIntCheckable(tempo) ;
130 sprintf(tempo, "TotEnB%d", i+1) ;
131 new( (*fQATotEnerB)[i] ) AliPHOSQAFloatCheckable(tempo) ;
134 AliPHOSQAMeanChecker * hmc = new AliPHOSQAMeanChecker("HitsMul", 100. ,25.) ;
135 AliPHOSQAMeanChecker * emc = new AliPHOSQAMeanChecker("TotEner", 10. ,5.) ;
136 AliPHOSQAMeanChecker * bhmc = new AliPHOSQAMeanChecker("HitsMulB", 100. ,5.) ;
137 AliPHOSQAMeanChecker * bemc = new AliPHOSQAMeanChecker("TotEnerB", 2. ,.5) ;
139 // associate checkables and checkers
140 fQAHitsMul->AddChecker(hmc) ;
141 fQATotEner->AddChecker(emc) ;
142 for ( i = 0 ; i < nb ; i++ ) {
143 (static_cast<AliPHOSQAIntCheckable*>((*fQAHitsMulB)[i]))->AddChecker(bhmc) ;
144 (static_cast<AliPHOSQAFloatCheckable*>((*fQATotEnerB)[i]))->AddChecker(bemc) ;
149 //____________________________________________________________________________
150 AliPHOSv1::~AliPHOSv1()
160 fQAHitsMulB->Delete() ;
165 fQATotEnerB->Delete() ;
171 //____________________________________________________________________________
172 void AliPHOSv1::Copy(AliPHOSv1 & phos)
174 TObject::Copy(phos) ;
175 AliPHOSv0::Copy(phos) ;
176 phos.fLightYieldMean = fLightYieldMean ;
177 phos.fIntrinsicPINEfficiency = fIntrinsicPINEfficiency ;
178 phos.fLightYieldAttenuation = fLightYieldAttenuation ;
179 phos.fRecalibrationFactor = fRecalibrationFactor ;
180 phos.fElectronsPerGeV = fElectronsPerGeV ;
181 phos.fAPDGain = fAPDGain ;
182 phos.fLightFactor = fLightFactor ;
183 phos.fAPDFactor = fAPDFactor ;
186 //____________________________________________________________________________
187 void AliPHOSv1::AddHit(Int_t shunt, Int_t primary, Int_t tracknumber, Int_t Id, Float_t * hits)
189 // Add a hit to the hit list.
190 // A PHOS hit is the sum of all hits in a single crystal from one primary and within some time gate
195 Bool_t deja = kFALSE ;
196 AliPHOSGeometry * geom = GetGeometry() ;
198 newHit = new AliPHOSHit(shunt, primary, tracknumber, Id, hits) ;
200 for ( hitCounter = fNhits-1 ; hitCounter >= 0 && !deja ; hitCounter-- ) {
201 curHit = dynamic_cast<AliPHOSHit*>((*fHits)[hitCounter]) ;
202 if(curHit->GetPrimary() != primary) break ;
203 // We add hits with the same primary, while GEANT treats primaries succesively
204 if( *curHit == *newHit ) {
211 new((*fHits)[fNhits]) AliPHOSHit(*newHit) ;
212 // get the block Id number
214 geom->AbsToRelNumbering(Id, relid) ;
215 // and fill the relevant QA checkable (only if in PbW04)
216 if ( relid[1] == 0 ) {
217 fQAHitsMul->Update(1) ;
218 (static_cast<AliPHOSQAIntCheckable*>((*fQAHitsMulB)[relid[0]-1]))->Update(1) ;
226 //____________________________________________________________________________
227 void AliPHOSv1::FinishPrimary()
229 // called at the end of each track (primary) by AliRun
230 // hits are reset for each new track
231 // accumulate the total hit-multiplicity
233 // fQAHitsMul->Update( fHits->GetEntriesFast() ) ;
237 //____________________________________________________________________________
238 void AliPHOSv1::FinishEvent()
240 // called at the end of each event by AliRun
241 // accumulate the hit-multiplicity and total energy per block
242 // if the values have been updated check it
246 if ( fQATotEner->HasChanged() ) {
247 fQATotEner->CheckMe() ;
248 fQATotEner->Reset() ;
253 if ( fQAHitsMulB && fQATotEnerB ) {
254 for (i = 0 ; i < GetGeometry()->GetNModules() ; i++) {
255 AliPHOSQAIntCheckable * ci = static_cast<AliPHOSQAIntCheckable*>((*fQAHitsMulB)[i]) ;
256 AliPHOSQAFloatCheckable* cf = static_cast<AliPHOSQAFloatCheckable*>((*fQATotEnerB)[i]) ;
257 if ( ci->HasChanged() ) {
261 if ( cf->HasChanged() ) {
268 // check the total multiplicity
271 if ( fQAHitsMul->HasChanged() ) {
272 fQAHitsMul->CheckMe() ;
273 fQAHitsMul->Reset() ;
277 AliDetector::FinishEvent();
279 //____________________________________________________________________________
280 void AliPHOSv1::StepManager(void)
282 // Accumulates hits as long as the track stays in a single crystal or CPV gas Cell
284 Int_t relid[4] ; // (box, layer, row, column) indices
285 Int_t absid ; // absolute cell ID number
286 Float_t xyzte[5]={-1000.,-1000.,-1000.,0.,0.} ; // position wrt MRS, time and energy deposited
287 TLorentzVector pos ; // Lorentz vector of the track current position
290 Int_t tracknumber = gAlice->GetMCApp()->GetCurrentTrackNumber() ;
291 TString name = GetGeometry()->GetName() ;
295 if( gMC->CurrentVolID(copy) == gMC->VolId("PCPQ") &&
296 (gMC->IsTrackEntering() ) &&
297 gMC->TrackCharge() != 0) {
299 gMC -> TrackPosition(pos);
301 Float_t xyzm[3], xyzd[3] ;
303 for (i=0; i<3; i++) xyzm[i] = pos[i];
304 gMC -> Gmtod (xyzm, xyzd, 1); // transform coordinate from master to daughter system
306 Float_t xyd[3]={0,0,0} ; //local position of the entering
311 // Current momentum of the hit's track in the local ref. system
312 TLorentzVector pmom ; //momentum of the particle initiated hit
313 gMC -> TrackMomentum(pmom);
314 Float_t pm[3], pd[3];
318 gMC -> Gmtod (pm, pd, 2); // transform 3-momentum from master to daughter system
323 // Digitize the current CPV hit:
325 // 1. find pad response and
326 gMC->CurrentVolOffID(3,moduleNumber);
329 TClonesArray *cpvDigits = new TClonesArray("AliPHOSCPVDigit",0); // array of digits for current hit
330 CPVDigitize(pmom,xyd,cpvDigits);
335 Int_t idigit,ndigits;
337 // 2. go through the current digit list and sum digits in pads
339 ndigits = cpvDigits->GetEntriesFast();
340 for (idigit=0; idigit<ndigits-1; idigit++) {
341 AliPHOSCPVDigit *cpvDigit1 = dynamic_cast<AliPHOSCPVDigit*>(cpvDigits->UncheckedAt(idigit));
342 Float_t x1 = cpvDigit1->GetXpad() ;
343 Float_t z1 = cpvDigit1->GetYpad() ;
344 for (Int_t jdigit=idigit+1; jdigit<ndigits; jdigit++) {
345 AliPHOSCPVDigit *cpvDigit2 = dynamic_cast<AliPHOSCPVDigit*>(cpvDigits->UncheckedAt(jdigit));
346 Float_t x2 = cpvDigit2->GetXpad() ;
347 Float_t z2 = cpvDigit2->GetYpad() ;
348 if (x1==x2 && z1==z2) {
349 Float_t qsum = cpvDigit1->GetQpad() + cpvDigit2->GetQpad() ;
350 cpvDigit2->SetQpad(qsum) ;
351 cpvDigits->RemoveAt(idigit) ;
355 cpvDigits->Compress() ;
357 // 3. add digits to temporary hit list fTmpHits
359 ndigits = cpvDigits->GetEntriesFast();
360 for (idigit=0; idigit<ndigits; idigit++) {
361 AliPHOSCPVDigit *cpvDigit = dynamic_cast<AliPHOSCPVDigit*>(cpvDigits->UncheckedAt(idigit));
362 relid[0] = moduleNumber + 1 ; // CPV (or PHOS) module number
363 relid[1] =-1 ; // means CPV
364 relid[2] = cpvDigit->GetXpad() ; // column number of a pad
365 relid[3] = cpvDigit->GetYpad() ; // row number of a pad
367 // get the absolute Id number
368 GetGeometry()->RelToAbsNumbering(relid, absid) ;
370 // add current digit to the temporary hit list
372 xyzte[3] = gMC->TrackTime() ;
373 xyzte[4] = cpvDigit->GetQpad() ; // amplitude in a pad
374 AddHit(fIshunt, -1, tracknumber, absid, xyzte); // -1: No need in primary for CPV
376 if (cpvDigit->GetQpad() > 0.02) {
377 xmean += cpvDigit->GetQpad() * (cpvDigit->GetXpad() + 0.5);
378 zmean += cpvDigit->GetQpad() * (cpvDigit->GetYpad() + 0.5);
379 qsum += cpvDigit->GetQpad();
391 if(gMC->CurrentVolID(copy) == gMC->VolId("PXTL") ) { // We are inside a PBWO crystal
393 gMC->TrackPosition(pos) ;
398 Float_t global[3], local[3] ;
402 Float_t lostenergy = gMC->Edep();
404 //Put in the TreeK particle entering PHOS and all its parents
405 if ( gMC->IsTrackEntering() ){
407 gMC -> Gmtod (xyzte, xyzd, 1); // transform coordinate from master to daughter system
408 if (xyzd[1] < -GetGeometry()->GetCrystalSize(1)/2.+0.1){ //Entered close to forward surface
409 TParticle * part = 0 ;
410 Int_t parent = gAlice->GetMCApp()->GetCurrentTrackNumber() ;
411 while ( parent != -1 ) {
412 part = gAlice->GetMCApp()->Particle(parent) ;
413 part->SetBit(kKeepBit);
414 parent = part->GetFirstMother() ;
418 if ( lostenergy != 0 ) { // Track is inside the crystal and deposits some energy
419 xyzte[3] = gMC->TrackTime() ;
421 gMC->CurrentVolOffID(10, moduleNumber) ; // get the PHOS module number ;
424 gMC->CurrentVolOffID(3, strip);
426 gMC->CurrentVolOffID(2, cell);
428 Int_t row = 1 + GetGeometry()->GetNZ() - strip % GetGeometry()->GetNZ() ;
429 Int_t col = (Int_t) TMath::Ceil((Double_t) strip/GetGeometry()->GetNZ()) -1 ;
431 absid = (moduleNumber-1)*GetGeometry()->GetNCristalsInModule() +
432 row + (col*GetGeometry()->GetEMCAGeometry()->GetNCellsInStrip() + cell-1)*GetGeometry()->GetNZ() ;
434 gMC->Gmtod(global, local, 1) ;
436 //Calculates the light yield, the number of photons produced in the
438 Float_t lightYield = gRandom->Poisson(fLightFactor * lostenergy *
439 exp(-fLightYieldAttenuation *
440 (local[1]+GetGeometry()->GetCrystalSize(1)/2.0 ))
443 //Calculates de energy deposited in the crystal
444 xyzte[4] = fAPDFactor * lightYield ;
448 primary = gAlice->GetMCApp()->GetPrimary( gAlice->GetMCApp()->GetCurrentTrackNumber() );
449 else if(fIshunt == 2){
450 primary = gAlice->GetMCApp()->GetCurrentTrackNumber() ;
451 TParticle * part = gAlice->GetMCApp()->Particle(primary) ;
452 while ( !part->TestBit(kKeepBit) ) {
453 primary = part->GetFirstMother() ;
454 if(primary == -1) break ; //there is a possibility that particle passed e.g. thermal isulator and hits a side
455 //surface of the crystal. In this case it may have no primary at all.
456 //We can not easily separate this case from the case when this is part of the shower,
457 //developed in the neighboring crystal.
458 part = gAlice->GetMCApp()->Particle(primary) ;
463 // add current hit to the hit list
464 // Info("StepManager","%d %d", primary, tracknumber) ;
465 AddHit(fIshunt, primary,tracknumber, absid, xyzte);
467 // fill the relevant QA Checkables
468 fQATotEner->Update( xyzte[4] ) ; // total energy in PHOS
469 (static_cast<AliPHOSQAFloatCheckable*>((*fQATotEnerB)[moduleNumber-1]))->Update( xyzte[4] ) ; // energy in this block
471 } // there is deposited energy
472 } // we are inside a PHOS Xtal
476 //____________________________________________________________________________
477 void AliPHOSv1::CPVDigitize (TLorentzVector p, Float_t *zxhit, TClonesArray *cpvDigits)
479 // ------------------------------------------------------------------------
480 // Digitize one CPV hit:
481 // On input take exact 4-momentum p and position zxhit of the hit,
482 // find the pad response around this hit and
483 // put the amplitudes in the pads into array digits
485 // Author: Yuri Kharlov (after Serguei Sadovsky)
487 // ------------------------------------------------------------------------
489 const Float_t kCelWr = GetGeometry()->GetPadSizePhi()/2; // Distance between wires (2 wires above 1 pad)
490 const Float_t kDetR = 0.1; // Relative energy fluctuation in track for 100 e-
491 const Float_t kdEdx = 4.0; // Average energy loss in CPV;
492 const Int_t kNgamz = 5; // Ionization size in Z
493 const Int_t kNgamx = 9; // Ionization size in Phi
494 const Float_t kNoise = 0.03; // charge noise in one pad
498 // Just a reminder on axes notation in the CPV module:
499 // axis Z goes along the beam
500 // axis X goes across the beam in the module plane
501 // axis Y is a normal to the module plane showing from the IP
503 Float_t hitX = zxhit[0];
504 Float_t hitZ =-zxhit[1];
507 Float_t pNorm = p.Py();
508 Float_t eloss = kdEdx;
510 //Info("CPVDigitize", "YVK : %f %f | %f %f %d", hitX, hitZ, pX, pZ, pNorm) ;
512 Float_t dZY = pZ/pNorm * GetGeometry()->GetCPVGasThickness();
513 Float_t dXY = pX/pNorm * GetGeometry()->GetCPVGasThickness();
514 gRandom->Rannor(rnor1,rnor2);
515 eloss *= (1 + kDetR*rnor1) *
516 TMath::Sqrt((1 + ( pow(dZY,2) + pow(dXY,2) ) / pow(GetGeometry()->GetCPVGasThickness(),2)));
517 Float_t zhit1 = hitZ + GetGeometry()->GetCPVActiveSize(1)/2 - dZY/2;
518 Float_t xhit1 = hitX + GetGeometry()->GetCPVActiveSize(0)/2 - dXY/2;
519 Float_t zhit2 = zhit1 + dZY;
520 Float_t xhit2 = xhit1 + dXY;
522 Int_t iwht1 = (Int_t) (xhit1 / kCelWr); // wire (x) coordinate "in"
523 Int_t iwht2 = (Int_t) (xhit2 / kCelWr); // wire (x) coordinate "out"
527 if (iwht1==iwht2) { // incline 1-wire hit
529 zxe[0][0] = (zhit1 + zhit2 - dZY*0.57735) / 2;
530 zxe[1][0] = (iwht1 + 0.5) * kCelWr;
532 zxe[0][1] = (zhit1 + zhit2 + dZY*0.57735) / 2;
533 zxe[1][1] = (iwht1 + 0.5) * kCelWr;
536 else if (TMath::Abs(iwht1-iwht2) != 1) { // incline 3-wire hit
538 Int_t iwht3 = (iwht1 + iwht2) / 2;
539 Float_t xwht1 = (iwht1 + 0.5) * kCelWr; // wire 1
540 Float_t xwht2 = (iwht2 + 0.5) * kCelWr; // wire 2
541 Float_t xwht3 = (iwht3 + 0.5) * kCelWr; // wire 3
542 Float_t xwr13 = (xwht1 + xwht3) / 2; // center 13
543 Float_t xwr23 = (xwht2 + xwht3) / 2; // center 23
544 Float_t dxw1 = xhit1 - xwr13;
545 Float_t dxw2 = xhit2 - xwr23;
546 Float_t egm1 = TMath::Abs(dxw1) / ( TMath::Abs(dxw1) + TMath::Abs(dxw2) + kCelWr );
547 Float_t egm2 = TMath::Abs(dxw2) / ( TMath::Abs(dxw1) + TMath::Abs(dxw2) + kCelWr );
548 Float_t egm3 = kCelWr / ( TMath::Abs(dxw1) + TMath::Abs(dxw2) + kCelWr );
549 zxe[0][0] = (dXY*(xwr13-xwht1)/dXY + zhit1 + zhit1) / 2;
551 zxe[2][0] = eloss * egm1;
552 zxe[0][1] = (dXY*(xwr23-xwht1)/dXY + zhit1 + zhit2) / 2;
554 zxe[2][1] = eloss * egm2;
555 zxe[0][2] = dXY*(xwht3-xwht1)/dXY + zhit1;
557 zxe[2][2] = eloss * egm3;
559 else { // incline 2-wire hit
561 Float_t xwht1 = (iwht1 + 0.5) * kCelWr;
562 Float_t xwht2 = (iwht2 + 0.5) * kCelWr;
563 Float_t xwr12 = (xwht1 + xwht2) / 2;
564 Float_t dxw1 = xhit1 - xwr12;
565 Float_t dxw2 = xhit2 - xwr12;
566 Float_t egm1 = TMath::Abs(dxw1) / ( TMath::Abs(dxw1) + TMath::Abs(dxw2) );
567 Float_t egm2 = TMath::Abs(dxw2) / ( TMath::Abs(dxw1) + TMath::Abs(dxw2) );
568 zxe[0][0] = (zhit1 + zhit2 - dZY*egm1) / 2;
570 zxe[2][0] = eloss * egm1;
571 zxe[0][1] = (zhit1 + zhit2 + dZY*egm2) / 2;
573 zxe[2][1] = eloss * egm2;
576 // Finite size of ionization region
578 Int_t nCellZ = GetGeometry()->GetNumberOfCPVPadsZ();
579 Int_t nCellX = GetGeometry()->GetNumberOfCPVPadsPhi();
580 Int_t nz3 = (kNgamz+1)/2;
581 Int_t nx3 = (kNgamx+1)/2;
582 cpvDigits->Expand(nIter*kNgamx*kNgamz);
583 TClonesArray &ldigits = *(static_cast<TClonesArray *>(cpvDigits));
585 for (Int_t iter=0; iter<nIter; iter++) {
587 Float_t zhit = zxe[0][iter];
588 Float_t xhit = zxe[1][iter];
589 Float_t qhit = zxe[2][iter];
590 Float_t zcell = zhit / GetGeometry()->GetPadSizeZ();
591 Float_t xcell = xhit / GetGeometry()->GetPadSizePhi();
592 if ( zcell<=0 || xcell<=0 ||
593 zcell>=nCellZ || xcell>=nCellX) return;
594 Int_t izcell = (Int_t) zcell;
595 Int_t ixcell = (Int_t) xcell;
596 Float_t zc = zcell - izcell - 0.5;
597 Float_t xc = xcell - ixcell - 0.5;
598 for (Int_t iz=1; iz<=kNgamz; iz++) {
599 Int_t kzg = izcell + iz - nz3;
600 if (kzg<=0 || kzg>nCellZ) continue;
601 Float_t zg = (Float_t)(iz-nz3) - zc;
602 for (Int_t ix=1; ix<=kNgamx; ix++) {
603 Int_t kxg = ixcell + ix - nx3;
604 if (kxg<=0 || kxg>nCellX) continue;
605 Float_t xg = (Float_t)(ix-nx3) - xc;
607 // Now calculate pad response
608 Float_t qpad = CPVPadResponseFunction(qhit,zg,xg);
609 qpad += kNoise*rnor2;
610 if (qpad<0) continue;
612 // Fill the array with pad response ID and amplitude
613 new(ldigits[cpvDigits->GetEntriesFast()]) AliPHOSCPVDigit(kxg,kzg,qpad);
619 //____________________________________________________________________________
620 Float_t AliPHOSv1::CPVPadResponseFunction(Float_t qhit, Float_t zhit, Float_t xhit) {
621 // ------------------------------------------------------------------------
622 // Calculate the amplitude in one CPV pad using the
623 // cumulative pad response function
624 // Author: Yuri Kharlov (after Serguei Sadovski)
626 // ------------------------------------------------------------------------
628 Double_t dz = GetGeometry()->GetPadSizeZ() / 2;
629 Double_t dx = GetGeometry()->GetPadSizePhi() / 2;
630 Double_t z = zhit * GetGeometry()->GetPadSizeZ();
631 Double_t x = xhit * GetGeometry()->GetPadSizePhi();
632 Double_t amplitude = qhit *
633 (CPVCumulPadResponse(z+dz,x+dx) - CPVCumulPadResponse(z+dz,x-dx) -
634 CPVCumulPadResponse(z-dz,x+dx) + CPVCumulPadResponse(z-dz,x-dx));
635 return (Float_t)amplitude;
638 //____________________________________________________________________________
639 Double_t AliPHOSv1::CPVCumulPadResponse(Double_t x, Double_t y) {
640 // ------------------------------------------------------------------------
641 // Cumulative pad response function
642 // It includes several terms from the CF decomposition in electrostatics
643 // Note: this cumulative function is wrong since omits some terms
644 // but the cell amplitude obtained with it is correct because
645 // these omitting terms cancel
646 // Author: Yuri Kharlov (after Serguei Sadovski)
648 // ------------------------------------------------------------------------
650 const Double_t kA=1.0;
651 const Double_t kB=0.7;
653 Double_t r2 = x*x + y*y;
655 Double_t cumulPRF = 0;
656 for (Int_t i=0; i<=4; i++) {
657 Double_t b1 = (2*i + 1) * kB;
658 cumulPRF += TMath::Power(-1,i) * TMath::ATan( xy / (b1*TMath::Sqrt(b1*b1 + r2)) );
660 cumulPRF *= kA/(2*TMath::Pi());