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1
2 /**************************************************************************
3  * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4  *                                                                        *
5  * Author: The ALICE Off-line Project.                                    *
6  * Contributors are mentioned in the code where appropriate.              *
7  *                                                                        *
8  * Permission to use, copy, modify and distribute this software and its   *
9  * documentation strictly for non-commercial purposes is hereby granted   *
10  * without fee, provided that the above copyright notice appears in all   *
11  * copies and that both the copyright notice and this permission notice   *
12  * appear in the supporting documentation. The authors make no claims     *
13  * about the suitability of this software for any purpose. It is          *
14  * provided "as is" without express or implied warranty.                  *
15  **************************************************************************/
16
17 /* $Id$ */
18
19 ///////////////////////////////////////////////////////////////////////////////
20 //                                                                           //
21 // TRD cluster finder                                                        //
22 //                                                                           //
23 ///////////////////////////////////////////////////////////////////////////////
24
25 #include <TF1.h>
26 #include <TTree.h>
27 #include <TH1.h>
28 #include <TFile.h>
29
30 #include "AliRun.h"
31 #include "AliRunLoader.h"
32 #include "AliLoader.h"
33 #include "AliRawReader.h"
34 #include "AliLog.h"
35
36 #include "AliTRDclusterizerV1.h"
37 #include "AliTRDgeometry.h"
38 #include "AliTRDdataArrayF.h"
39 #include "AliTRDdataArrayI.h"
40 #include "AliTRDdigitsManager.h"
41 #include "AliTRDpadPlane.h"
42 #include "AliTRDrawData.h"
43 #include "AliTRDcalibDB.h"
44 #include "AliTRDSimParam.h"
45 #include "AliTRDRecParam.h"
46 #include "AliTRDCommonParam.h"
47 #include "AliTRDcluster.h"
48
49 ClassImp(AliTRDclusterizerV1)
50
51 //_____________________________________________________________________________
52 AliTRDclusterizerV1::AliTRDclusterizerV1()
53   :AliTRDclusterizer()
54   ,fDigitsManager(NULL)
55 {
56   //
57   // AliTRDclusterizerV1 default constructor
58   //
59
60 }
61
62 //_____________________________________________________________________________
63 AliTRDclusterizerV1::AliTRDclusterizerV1(const Text_t* name, const Text_t* title)
64   :AliTRDclusterizer(name,title)
65   ,fDigitsManager(new AliTRDdigitsManager())
66 {
67   //
68   // AliTRDclusterizerV1 constructor
69   //
70
71   fDigitsManager->CreateArrays();
72
73 }
74
75 //_____________________________________________________________________________
76 AliTRDclusterizerV1::AliTRDclusterizerV1(const AliTRDclusterizerV1 &c)
77   :AliTRDclusterizer(c)
78   ,fDigitsManager(NULL)
79 {
80   //
81   // AliTRDclusterizerV1 copy constructor
82   //
83
84 }
85
86 //_____________________________________________________________________________
87 AliTRDclusterizerV1::~AliTRDclusterizerV1()
88 {
89   //
90   // AliTRDclusterizerV1 destructor
91   //
92
93   if (fDigitsManager) {
94     delete fDigitsManager;
95     fDigitsManager = NULL;
96   }
97
98 }
99
100 //_____________________________________________________________________________
101 AliTRDclusterizerV1 &AliTRDclusterizerV1::operator=(const AliTRDclusterizerV1 &c)
102 {
103   //
104   // Assignment operator
105   //
106
107   if (this != &c) ((AliTRDclusterizerV1 &) c).Copy(*this);
108   return *this;
109
110 }
111
112 //_____________________________________________________________________________
113 void AliTRDclusterizerV1::Copy(TObject &c) const
114 {
115   //
116   // Copy function
117   //
118
119   ((AliTRDclusterizerV1 &) c).fDigitsManager = 0;
120
121   AliTRDclusterizer::Copy(c);
122
123 }
124
125 //_____________________________________________________________________________
126 Bool_t AliTRDclusterizerV1::ReadDigits()
127 {
128   //
129   // Reads the digits arrays from the input aliroot file
130   //
131
132   if (!fRunLoader) {
133     AliError("No run loader available");
134     return kFALSE;
135   }
136
137   AliLoader* loader = fRunLoader->GetLoader("TRDLoader");
138   if (!loader->TreeD()) {
139     loader->LoadDigits();
140   }
141
142   // Read in the digit arrays
143   return (fDigitsManager->ReadDigits(loader->TreeD()));
144
145 }
146
147 //_____________________________________________________________________________
148 Bool_t AliTRDclusterizerV1::ReadDigits(AliRawReader* rawReader)
149 {
150   //
151   // Reads the digits arrays from the ddl file
152   //
153
154   AliTRDrawData raw;
155   fDigitsManager = raw.Raw2Digits(rawReader);
156
157   return kTRUE;
158
159 }
160
161 //_____________________________________________________________________________
162 Bool_t AliTRDclusterizerV1::MakeClusters()
163 {
164   //
165   // Generates the cluster.
166   //
167
168   Int_t row   = 0;
169   Int_t col   = 0;
170   Int_t time  = 0;
171   Int_t icham = 0;
172   Int_t iplan = 0;
173   Int_t isect = 0;
174   Int_t iPad  = 0;
175     
176   AliTRDdataArrayI *digitsIn;
177   AliTRDdataArrayI *track0;
178   AliTRDdataArrayI *track1;
179   AliTRDdataArrayI *track2; 
180
181   // Get the geometry
182   AliTRDgeometry *geo            = AliTRDgeometry::GetGeometry(fRunLoader);  
183   AliTRDcalibDB  *calibration    = AliTRDcalibDB::Instance();
184   if (!calibration) {
185     AliError("No AliTRDcalibDB instance available\n");
186     return kFALSE;  
187   }
188   
189   AliTRDSimParam *simParam       = AliTRDSimParam::Instance();
190   if (!simParam) {
191     AliError("No AliTRDSimParam instance available\n");
192     return kFALSE;  
193   }
194   
195   AliTRDRecParam *recParam       = AliTRDRecParam::Instance();
196   if (!recParam) {
197     AliError("No AliTRDRecParam instance available\n");
198     return kFALSE;  
199   }
200   
201   AliTRDCommonParam *commonParam = AliTRDCommonParam::Instance();
202   if (!commonParam) {
203     AliError("Could not get common parameters\n");
204     return kFALSE;
205   }
206
207   // ADC threshols
208   Float_t ADCthreshold = simParam->GetADCthreshold();
209   // Threshold value for the maximum
210   Float_t maxThresh    = recParam->GetClusMaxThresh();
211   // Threshold value for the digit signal
212   Float_t sigThresh    = recParam->GetClusSigThresh();
213
214   // Iteration limit for unfolding procedure
215   const Float_t kEpsilon = 0.01;             
216   const Int_t   kNclus   = 3;  
217   const Int_t   kNsig    = 5;
218   const Int_t   kNtrack  = 3 * kNclus;
219
220   Int_t    iType         = 0;
221   Int_t    iUnfold       = 0;  
222   Double_t ratioLeft     = 1.0;
223   Double_t ratioRight    = 1.0;
224
225   Double_t padSignal[kNsig];   
226   Double_t clusterSignal[kNclus];
227   Double_t clusterPads[kNclus];   
228   Int_t    clusterTracks[kNtrack];
229
230   Int_t    chamBeg    = 0;
231   Int_t    chamEnd    = AliTRDgeometry::Ncham();
232   Int_t    planBeg    = 0;
233   Int_t    planEnd    = AliTRDgeometry::Nplan();
234   Int_t    sectBeg    = 0;
235   Int_t    sectEnd    = AliTRDgeometry::Nsect();
236   Int_t    nTimeTotal = calibration->GetNumberOfTimeBins();
237
238   AliDebug(1,Form("Number of Time Bins = %d.\n",nTimeTotal));
239
240   // Start clustering in every chamber
241   for (icham = chamBeg; icham < chamEnd; icham++) {
242     for (iplan = planBeg; iplan < planEnd; iplan++) {
243       for (isect = sectBeg; isect < sectEnd; isect++) {
244
245         Int_t idet    = geo->GetDetector(iplan,icham,isect);
246
247         Int_t nRowMax = commonParam->GetRowMax(iplan,icham,isect);
248         Int_t nColMax = commonParam->GetColMax(iplan);
249
250         AliTRDpadPlane *padPlane = commonParam->GetPadPlane(iplan,icham);
251
252         Int_t nClusters      = 0;
253         Int_t nClusters2pad  = 0;
254         Int_t nClusters3pad  = 0;
255         Int_t nClusters4pad  = 0;
256         Int_t nClusters5pad  = 0;
257         Int_t nClustersLarge = 0;
258
259         AliDebug(1,Form("Analyzing chamber %d, plane %d, sector %d.\n"
260                        ,icham,iplan,isect));
261
262         // Get the digits
263         digitsIn = fDigitsManager->GetDigits(idet);
264         // This is to take care of switched off super modules
265         if (digitsIn->GetNtime() == 0) {
266           continue;
267         }
268         digitsIn->Expand();
269         track0   = fDigitsManager->GetDictionary(idet,0);
270         track0->Expand();
271         track1   = fDigitsManager->GetDictionary(idet,1);
272         track1->Expand();
273         track2   = fDigitsManager->GetDictionary(idet,2); 
274         track2->Expand();
275
276         AliTRDdataArrayF *digitsOut = new AliTRDdataArrayF(digitsIn->GetNrow()
277                                                           ,digitsIn->GetNcol()
278                                                           ,digitsIn->GetNtime());
279         Transform(digitsIn, digitsOut,idet,nRowMax,nColMax,nTimeTotal,ADCthreshold);
280
281         // Loop through the chamber and find the maxima 
282         for ( row = 0;  row <  nRowMax;    row++) {
283           for ( col = 2;  col <  nColMax;    col++) {
284             for (time = 0; time < nTimeTotal; time++) {
285
286               Float_t signalL = TMath::Abs(digitsOut->GetDataUnchecked(row,col  ,time));
287               Float_t signalM = TMath::Abs(digitsOut->GetDataUnchecked(row,col-1,time));
288               Float_t signalR = TMath::Abs(digitsOut->GetDataUnchecked(row,col-2,time));
289  
290               // Look for the maximum
291               if (signalM >= maxThresh) {
292                 if ((TMath::Abs(signalL) <= signalM) && 
293                     (TMath::Abs(signalR) <= signalM) && 
294                     ((TMath::Abs(signalL) + TMath::Abs(signalR)) > sigThresh)) {
295                   // Maximum found, mark the position by a negative signal
296                   digitsOut->SetDataUnchecked(row,col-1,time,-signalM);
297                 }
298               }
299
300             }
301           }
302         }
303
304         // Now check the maxima and calculate the cluster position
305         for ( row = 0;  row <  nRowMax  ;  row++) {
306           for (time = 0; time < nTimeTotal; time++) {
307             for ( col = 1;  col <  nColMax-1;  col++) {
308
309               // Maximum found ?             
310               if (digitsOut->GetDataUnchecked(row,col,time) < 0) {
311
312                 for (iPad = 0; iPad < kNclus; iPad++) {
313                   Int_t iPadCol = col - 1 + iPad;
314                   clusterSignal[iPad]     = TMath::Abs(digitsOut->GetDataUnchecked(row
315                                                                                   ,iPadCol
316                                                                                    ,time));
317                   clusterTracks[3*iPad  ] = track0->GetDataUnchecked(row,iPadCol,time) - 1;
318                   clusterTracks[3*iPad+1] = track1->GetDataUnchecked(row,iPadCol,time) - 1;
319                   clusterTracks[3*iPad+2] = track2->GetDataUnchecked(row,iPadCol,time) - 1;
320                 }
321
322                 // Count the number of pads in the cluster
323                 Int_t nPadCount = 0;
324                 Int_t ii        = 0;
325                 while (TMath::Abs(digitsOut->GetDataUnchecked(row,col-ii  ,time)) >= sigThresh) {
326                   nPadCount++;
327                   ii++;
328                   if (col-ii   <        0) break;
329                 }
330                 ii = 0;
331                 while (TMath::Abs(digitsOut->GetDataUnchecked(row,col+ii+1,time)) >= sigThresh) {
332                   nPadCount++;
333                   ii++;
334                   if (col+ii+1 >= nColMax) break;
335                 }
336
337                 nClusters++;
338                 switch (nPadCount) {
339                 case 2:
340                   iType = 0;
341                   nClusters2pad++;
342                   break;
343                 case 3:
344                   iType = 1;
345                   nClusters3pad++;
346                   break;
347                 case 4:
348                   iType = 2;
349                   nClusters4pad++;
350                   break;
351                 case 5:
352                   iType = 3;
353                   nClusters5pad++;
354                   break;
355                 default:
356                   iType = 4;
357                   nClustersLarge++;
358                   break;
359                 };
360
361                 // Look for 5 pad cluster with minimum in the middle
362                 Bool_t fivePadCluster = kFALSE;
363                 if (col < (nColMax - 3)) {
364                   if (digitsOut->GetDataUnchecked(row,col+2,time) < 0) {
365                     fivePadCluster = kTRUE;
366                   }
367                   if ((fivePadCluster) && (col < (nColMax - 5))) {
368                     if (digitsOut->GetDataUnchecked(row,col+4,time) >= sigThresh) {
369                       fivePadCluster = kFALSE;
370                     }
371                   }
372                   if ((fivePadCluster) && (col >             1)) {
373                     if (digitsOut->GetDataUnchecked(row,col-2,time) >= sigThresh) {
374                       fivePadCluster = kFALSE;
375                     }
376                   }
377                 }
378
379                 // 5 pad cluster
380                 // Modify the signal of the overlapping pad for the left part 
381                 // of the cluster which remains from a previous unfolding
382                 if (iUnfold) {
383                   clusterSignal[0] *= ratioLeft;
384                   iType   = 5;
385                   iUnfold = 0;
386                 }
387
388                 // Unfold the 5 pad cluster
389                 if (fivePadCluster) {
390                   for (iPad = 0; iPad < kNsig; iPad++) {
391                     padSignal[iPad] = TMath::Abs(digitsOut->GetDataUnchecked(row
392                                                                              ,col-1+iPad
393                                                                              ,time));
394                   }
395                   // Unfold the two maxima and set the signal on 
396                   // the overlapping pad to the ratio
397                   ratioRight        = Unfold(kEpsilon,iplan,padSignal);
398                   ratioLeft         = 1.0 - ratioRight; 
399                   clusterSignal[2] *= ratioRight;
400                   iType   = 5;
401                   iUnfold = 1;
402                 }
403
404                 Double_t clusterCharge = clusterSignal[0]
405                                        + clusterSignal[1]
406                                        + clusterSignal[2];
407                 
408                 // The position of the cluster
409                 clusterPads[0] = row + 0.5;
410                 // Take the shift of the additional time bins into account
411                 clusterPads[2] = time + 0.5;
412
413                 if (recParam->LUTOn()) {
414                   // Calculate the position of the cluster by using the
415                   // lookup table method
416                   clusterPads[1] = recParam->LUTposition(iplan,clusterSignal[0]
417                                                               ,clusterSignal[1]
418                                                               ,clusterSignal[2]);
419                 }
420                 else {
421                   // Calculate the position of the cluster by using the
422                   // center of gravity method
423                   for (Int_t i = 0; i < 5; i++) {
424                     padSignal[i] = 0;
425                   }
426                   padSignal[2] = TMath::Abs(digitsOut->GetDataUnchecked(row,col  ,time)); // central  pad
427                   padSignal[1] = TMath::Abs(digitsOut->GetDataUnchecked(row,col-1,time)); // left     pad
428                   padSignal[3] = TMath::Abs(digitsOut->GetDataUnchecked(row,col+1,time)); // right    pad
429                   if ((col >           2) && 
430                       (TMath::Abs(digitsOut->GetDataUnchecked(row,col-2,time)) < padSignal[1])) {
431                     padSignal[0] = TMath::Abs(digitsOut->GetDataUnchecked(row,col-2,time));
432                   }
433                   if ((col < nColMax - 3) &&
434                       (TMath::Abs(digitsOut->GetDataUnchecked(row,col+2,time)) < padSignal[3])) {
435                     padSignal[4] = TMath::Abs(digitsOut->GetDataUnchecked(row,col+2,time));
436                   }               
437                   clusterPads[1] = GetCOG(padSignal);
438                 }
439
440                 Double_t q0 = clusterSignal[0];
441                 Double_t q1 = clusterSignal[1];
442                 Double_t q2 = clusterSignal[2];
443                 Double_t clusterSigmaY2 = (q1*(q0+q2)+4*q0*q2) /
444                                           (clusterCharge*clusterCharge);
445
446                 //
447                 // Calculate the position and the error
448                 //              
449
450                 // Correct for t0
451                 Int_t    clusterTimeBin = TMath::Nint(time - calibration->GetT0(idet, col, row));
452
453                 Double_t colSize        = padPlane->GetColSize(col);
454                 Double_t rowSize        = padPlane->GetRowSize(row);
455
456                 Double_t clusterPos[3];
457                 clusterPos[0] = padPlane->GetColPos(col) - (clusterPads[1]+0.5)*colSize;
458                 clusterPos[1] = padPlane->GetRowPos(row) - 0.5*rowSize;
459                 clusterPos[2] = CalcXposFromTimebin(clusterPads[2],idet,col,row);
460                 Double_t clusterSig[2];
461                 clusterSig[0] = (clusterSigmaY2 + 1./12.) * colSize*colSize;
462                 clusterSig[1] = rowSize * rowSize / 12.;                                       
463                 
464                 
465                 // Add the cluster to the output array 
466                 AliTRDcluster * cluster = AddCluster(clusterPos
467                                                     ,clusterTimeBin
468                                                     ,idet
469                                                     ,clusterCharge
470                                                     ,clusterTracks
471                                                     ,clusterSig
472                                                     ,iType
473                                                     ,clusterPads[1]);
474
475                 printf("Add a cluster: q=%f, det=%d, x=%f, y=%f, z=%f\n",clusterCharge
476                        ,idet,clusterPos[0],clusterPos[1],clusterPos[2]);
477
478                 Short_t signals[7]={ 0, 0, 0, 0, 0, 0, 0 };
479                 for (Int_t jPad = col-3; jPad <= col+3; jPad++) {
480                   if ((jPad < 0) || (jPad >= nColMax-1)) {
481                     continue;
482                   }
483                   signals[jPad-col+3] = TMath::Nint(TMath::Abs(digitsOut->GetDataUnchecked(row,jPad,time)));
484                 }
485                 cluster->SetSignals(signals);
486
487               }
488
489             } 
490           }   
491         }
492
493         delete digitsOut;
494
495         // Compress the arrays
496         track0->Compress(1,0);
497         track1->Compress(1,0);
498         track2->Compress(1,0);
499
500         // Write the cluster and reset the array
501         WriteClusters(idet);
502         ResetRecPoints();
503
504       }    
505     }      
506   }        
507
508   return kTRUE;
509
510 }
511
512 //_____________________________________________________________________________
513 Double_t AliTRDclusterizerV1::GetCOG(Double_t signal[5])
514 {
515   //
516   // Get COG position
517   // Used for clusters with more than 3 pads - where LUT not applicable
518   //
519
520   Double_t sum = signal[0]+signal[1]+signal[2]+signal[3]+signal[4];
521   Double_t res = (0.0*(-signal[0]+signal[4])+(-signal[1]+signal[3]))/sum;
522
523   return res;             
524
525 }
526
527 //_____________________________________________________________________________
528 Double_t AliTRDclusterizerV1::Unfold(Double_t eps, Int_t plane, Double_t* padSignal)
529 {
530   //
531   // Method to unfold neighbouring maxima.
532   // The charge ratio on the overlapping pad is calculated
533   // until there is no more change within the range given by eps.
534   // The resulting ratio is then returned to the calling method.
535   //
536
537   AliTRDcalibDB* calibration = AliTRDcalibDB::Instance();
538   if (!calibration) {
539     AliError("No AliTRDcalibDB instance available\n");
540     return kFALSE;  
541   }
542   
543   Int_t   irc                = 0;
544   Int_t   itStep             = 0;      // Count iteration steps
545
546   Double_t ratio             = 0.5;    // Start value for ratio
547   Double_t prevRatio         = 0;      // Store previous ratio
548
549   Double_t newLeftSignal[3]  = {0};    // Array to store left cluster signal
550   Double_t newRightSignal[3] = {0};    // Array to store right cluster signal
551   Double_t newSignal[3]      = {0};
552
553   // Start the iteration
554   while ((TMath::Abs(prevRatio - ratio) > eps) && (itStep < 10)) {
555
556     itStep++;
557     prevRatio = ratio;
558
559     // Cluster position according to charge ratio
560     Double_t maxLeft  = (ratio*padSignal[2] - padSignal[0]) 
561                       / (padSignal[0] + padSignal[1] + ratio*padSignal[2]);
562     Double_t maxRight = (padSignal[4] - (1-ratio)*padSignal[2]) 
563                       / ((1-ratio)*padSignal[2] + padSignal[3] + padSignal[4]);
564
565     // Set cluster charge ratio
566     irc = calibration->PadResponse(1.0,maxLeft ,plane,newSignal);
567     Double_t ampLeft  = padSignal[1] / newSignal[1];
568     irc = calibration->PadResponse(1.0,maxRight,plane,newSignal);
569     Double_t ampRight = padSignal[3] / newSignal[1];
570
571     // Apply pad response to parameters
572     irc = calibration->PadResponse(ampLeft ,maxLeft ,plane,newLeftSignal );
573     irc = calibration->PadResponse(ampRight,maxRight,plane,newRightSignal);
574
575     // Calculate new overlapping ratio
576     ratio = TMath::Min((Double_t)1.0,newLeftSignal[2] / 
577                           (newLeftSignal[2] + newRightSignal[0]));
578
579   }
580
581   return ratio;
582
583 }
584
585 //_____________________________________________________________________________
586 void AliTRDclusterizerV1::Transform(AliTRDdataArrayI* digitsIn,
587                                     AliTRDdataArrayF* digitsOut,
588                                     Int_t idet, Int_t nRowMax,
589                                     Int_t nColMax, Int_t nTimeTotal,
590                                     Float_t ADCthreshold)
591 {
592   //
593   // Apply gain factor
594   // Apply tail cancellation: Transform digitsIn to digitsOut
595   //
596
597   Int_t iRow  = 0;
598   Int_t iCol  = 0;
599   Int_t iTime = 0;
600
601   AliTRDRecParam* recParam = AliTRDRecParam::Instance();
602   if (!recParam) {
603     AliError("No AliTRDRecParam instance available\n");
604     return;
605   }
606   AliTRDcalibDB* calibration = AliTRDcalibDB::Instance();
607   if (!calibration) {
608     AliError("No AliTRDcalibDB instance available\n");
609     return;  
610   }
611
612   Double_t *inADC  = new Double_t[nTimeTotal];  // adc data before tail cancellation
613   Double_t *outADC = new Double_t[nTimeTotal];  // adc data after tail cancellation
614
615   AliDebug(1,Form("Tail cancellation (nExp = %d) for detector %d.\n"
616                  ,recParam->GetTCnexp(),idet));
617
618   for (iRow  = 0; iRow  <  nRowMax;   iRow++ ) {
619     for (iCol  = 0; iCol  <  nColMax;   iCol++ ) {
620       for (iTime = 0; iTime < nTimeTotal; iTime++) {
621
622         //
623         // Add gain
624         //
625         Double_t gain = calibration->GetGainFactor(idet,iCol,iRow);
626         if (gain == 0) {
627           AliError("Not a valid gain\n");
628         }
629         inADC[iTime]  = digitsIn->GetDataUnchecked(iRow,iCol,iTime);
630         inADC[iTime] /= gain;
631         outADC[iTime] = inADC[iTime];
632
633       }
634
635       // Apply the tail cancelation via the digital filter
636       if (recParam->TCOn()) {
637         DeConvExp(inADC,outADC,nTimeTotal,recParam->GetTCnexp());
638       }
639
640       for (iTime = 0; iTime < nTimeTotal; iTime++) {
641
642         // Store the amplitude of the digit if above threshold
643         if (outADC[iTime] > ADCthreshold) {
644           AliDebug(2,Form("  iRow = %d, iCol = %d, iTime = %d, adc = %f\n"
645                          ,iRow,iCol,iTime,outADC[iTime]));
646           digitsOut->SetDataUnchecked(iRow,iCol,iTime,outADC[iTime]);
647         }
648
649       }
650
651     }
652   }
653
654   delete [] inADC;
655   delete [] outADC;
656
657   return;
658
659 }
660
661 //_____________________________________________________________________________
662 void AliTRDclusterizerV1::DeConvExp(Double_t *source, Double_t *target,
663                                     Int_t n, Int_t nexp) 
664 {
665   //
666   // Tail cancellation by deconvolution for PASA v4 TRF
667   //
668
669   Double_t rates[2];
670   Double_t coefficients[2];
671
672   // Initialization (coefficient = alpha, rates = lambda)
673   Double_t R1 = 1.0;
674   Double_t R2 = 1.0;
675   Double_t C1 = 0.5;
676   Double_t C2 = 0.5;
677
678   if (nexp == 1) {   // 1 Exponentials
679     R1 = 1.156;
680     R2 = 0.130;
681     C1 = 0.066;
682     C2 = 0.000;
683   }
684   if (nexp == 2) {   // 2 Exponentials
685     R1 = 1.156;
686     R2 = 0.130;
687     C1 = 0.114;
688     C2 = 0.624;
689   }
690
691   coefficients[0] = C1;
692   coefficients[1] = C2;
693
694   Double_t Dt = 0.100;
695
696   rates[0] = TMath::Exp(-Dt/(R1));
697   rates[1] = TMath::Exp(-Dt/(R2));
698   
699   Int_t i = 0;
700   Int_t k = 0;
701
702   Double_t reminder[2];
703   Double_t correction;
704   Double_t result;
705
706   // Attention: computation order is important
707   correction = 0.0;
708   for (k = 0; k < nexp; k++) {
709     reminder[k] = 0.0;
710   }
711   for (i = 0; i < n; i++) {
712     result    = (source[i] - correction);    // no rescaling
713     target[i] = result;
714
715     for (k = 0; k < nexp; k++) {
716       reminder[k] = rates[k] * (reminder[k] + coefficients[k] * result);
717     }
718     correction = 0.0;
719     for (k = 0; k < nexp; k++) {
720       correction += reminder[k];
721     }
722   }
723
724 }