ITS/AliITSClusterFinderSDD.cxx

   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.              *
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   7  * Permission to use, copy, modify and distribute this software and its   *
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  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.                  *
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  15 /*
  16   $Id$
  17   $Log$
  18   Revision 1.30  2003/03/03 16:34:35  masera
  19   Corrections to comply with coding conventions
  20
  21   Revision 1.29  2002/10/25 18:54:22  barbera
  22   Various improvements and updates from B.S.Nilsen and T. Virgili
  23
  24   Revision 1.28  2002/10/22 14:45:29  alibrary
  25   Introducing Riostream.h
  26
  27   Revision 1.27  2002/10/14 14:57:00  hristov
  28   Merging the VirtualMC branch to the main development branch (HEAD)
  29
  30   Revision 1.23.4.2  2002/10/14 13:14:07  hristov
  31   Updating VirtualMC to v3-09-02
  32
  33   Revision 1.26  2002/09/09 17:23:28  nilsen
  34   Minor changes in support of changes to AliITSdigitS?D class'.
  35
  36   Revision 1.25  2002/05/10 22:29:40  nilsen
  37   Change my Massimo Masera in the default constructor to bring things into
  38   compliance.
  39
  40   Revision 1.24  2002/04/24 22:02:31  nilsen
  41   New SDigits and Digits routines, and related changes,  (including new
  42   noise values).
  43
  44  */
  45 //
  46 //  Cluster finder
  47 //  for Silicon
  48 //  Drift Detector
  49 //
  50 #include <Riostream.h>
  51
  52 #include <TMath.h>
  53 #include <math.h>
  54
  55 #include "AliITSClusterFinderSDD.h"
  56 #include "AliITSMapA1.h"
  57 #include "AliITS.h"
  58 #include "AliITSdigit.h"
  59 #include "AliITSRawCluster.h"
  60 #include "AliITSRecPoint.h"
  61 #include "AliITSsegmentation.h"
  62 #include "AliITSresponseSDD.h"
  63 #include "AliRun.h"
  64
  65 ClassImp(AliITSClusterFinderSDD)
  66
  67 //______________________________________________________________________
  68 AliITSClusterFinderSDD::AliITSClusterFinderSDD(AliITSsegmentation *seg,
  69                                                AliITSresponse *response,
  70                                                TClonesArray *digits,
  71                                                TClonesArray *recp){
  72     // standard constructor
  73
  74     fSegmentation = seg;
  75     fResponse     = response;
  76     fDigits       = digits;
  77     fClusters     = recp;
  78     fNclusters    = fClusters->GetEntriesFast();
  79     SetCutAmplitude();
  80     SetDAnode();
  81     SetDTime();
  82     SetMinPeak((Int_t)(((AliITSresponseSDD*)fResponse)->GetNoiseAfterElectronics()*5));
  83     //    SetMinPeak();
  84     SetMinNCells();
  85     SetMaxNCells();
  86     SetTimeCorr();
  87     SetMinCharge();
  88     fMap = new AliITSMapA1(fSegmentation,fDigits,fCutAmplitude);
  89 }
  90 //______________________________________________________________________
  91 AliITSClusterFinderSDD::AliITSClusterFinderSDD(){
  92     // default constructor
  93
  94     fSegmentation = 0;
  95     fResponse     = 0;
  96     fDigits       = 0;
  97     fClusters     = 0;
  98     fNclusters    = 0;
  99     fMap          = 0;
 100     fCutAmplitude = 0;
 101     fDAnode = 0;
 102     fDTime = 0;
 103     fMinPeak = 0;
 104     fMinNCells = 0;
 105     fMaxNCells = 0;
 106     fTimeCorr = 0;
 107     fMinCharge = 0;
 108     /*
 109     SetDAnode();
 110     SetDTime();
 111     SetMinPeak((Int_t)(((AliITSresponseSDD*)fResponse)->GetNoiseAfterElectronics()*5));
 112     SetMinNCells();
 113     SetMaxNCells();
 114     SetTimeCorr();
 115     SetMinCharge();
 116     */
 117 }
 118 //____________________________________________________________________________
 119 AliITSClusterFinderSDD::~AliITSClusterFinderSDD(){
 120     // destructor
 121
 122     if(fMap) delete fMap;
 123 }
 124 //______________________________________________________________________
 125 void AliITSClusterFinderSDD::SetCutAmplitude(Float_t nsigma){
 126     // set the signal threshold for cluster finder
 127     Float_t baseline,noise,noiseAfterEl;
 128
 129     fResponse->GetNoiseParam(noise,baseline);
 130     noiseAfterEl = ((AliITSresponseSDD*)fResponse)->GetNoiseAfterElectronics();
 131     fCutAmplitude = (Int_t)((baseline + nsigma*noiseAfterEl));
 132 }
 133 //______________________________________________________________________
 134 void AliITSClusterFinderSDD::Find1DClusters(){
 135     // find 1D clusters
 136     static AliITS *iTS = (AliITS*)gAlice->GetModule("ITS");
 137
 138     // retrieve the parameters
 139     Int_t fNofMaps       = fSegmentation->Npz();
 140     Int_t fMaxNofSamples = fSegmentation->Npx();
 141     Int_t fNofAnodes     = fNofMaps/2;
 142     Int_t dummy          = 0;
 143     Float_t fTimeStep    = fSegmentation->Dpx(dummy);
 144     Float_t fSddLength   = fSegmentation->Dx();
 145     Float_t fDriftSpeed  = fResponse->DriftSpeed();
 146     Float_t anodePitch   = fSegmentation->Dpz(dummy);
 147
 148     // map the signal
 149     fMap->ClearMap();
 150     fMap->SetThreshold(fCutAmplitude);
 151     fMap->FillMap();
 152
 153     Float_t noise;
 154     Float_t baseline;
 155     fResponse->GetNoiseParam(noise,baseline);
 156
 157     Int_t nofFoundClusters = 0;
 158     Int_t i;
 159     Float_t **dfadc = new Float_t*[fNofAnodes];
 160     for(i=0;i<fNofAnodes;i++) dfadc[i] = new Float_t[fMaxNofSamples];
 161     Float_t fadc  = 0.;
 162     Float_t fadc1 = 0.;
 163     Float_t fadc2 = 0.;
 164     Int_t j,k,idx,l,m;
 165     for(j=0;j<2;j++) {
 166         for(k=0;k<fNofAnodes;k++) {
 167             idx = j*fNofAnodes+k;
 168             // signal (fadc) & derivative (dfadc)
 169             dfadc[k][255]=0.;
 170             for(l=0; l<fMaxNofSamples; l++) {
 171                 fadc2=(Float_t)fMap->GetSignal(idx,l);
 172                 if(l>0) fadc1=(Float_t)fMap->GetSignal(idx,l-1);
 173                 if(l>0) dfadc[k][l-1] = fadc2-fadc1;
 174             } // samples
 175         } // anodes
 176
 177         for(k=0;k<fNofAnodes;k++) {
 178         //cout << "Anode: " << k+1 << ", Wing: " << j+1 << endl;
 179             idx = j*fNofAnodes+k;
 180             Int_t imax  = 0;
 181             Int_t imaxd = 0;
 182             Int_t it    = 0;
 183             while(it <= fMaxNofSamples-3) {
 184                 imax  = it;
 185                 imaxd = it;
 186                 // maximum of signal
 187                 Float_t fadcmax  = 0.;
 188                 Float_t dfadcmax = 0.;
 189                 Int_t lthrmina   = 1;
 190                 Int_t lthrmint   = 3;
 191                 Int_t lthra      = 1;
 192                 Int_t lthrt      = 0;
 193                 for(m=0;m<20;m++) {
 194                     Int_t id = it+m;
 195                     if(id>=fMaxNofSamples) break;
 196                     fadc=(float)fMap->GetSignal(idx,id);
 197                     if(fadc > fadcmax) { fadcmax = fadc; imax = id;}
 198                     if(fadc > (float)fCutAmplitude) {
 199                         lthrt++;
 200                     } // end if
 201                     if(dfadc[k][id] > dfadcmax) {
 202                         dfadcmax = dfadc[k][id];
 203                         imaxd    = id;
 204                     } // end if
 205                 } // end for m
 206                 it = imaxd;
 207                 if(fMap->TestHit(idx,imax) == kEmpty) {it++; continue;}
 208                 // cluster charge
 209                 Int_t tstart = it-2;
 210                 if(tstart < 0) tstart = 0;
 211                 Bool_t ilcl = 0;
 212                 if(lthrt >= lthrmint && lthra >= lthrmina) ilcl = 1;
 213                 if(ilcl) {
 214                     nofFoundClusters++;
 215                     Int_t tstop      = tstart;
 216                     Float_t dfadcmin = 10000.;
 217                     Int_t ij;
 218                     for(ij=0; ij<20; ij++) {
 219                         if(tstart+ij > 255) { tstop = 255; break; }
 220                         fadc=(float)fMap->GetSignal(idx,tstart+ij);
 221                         if((dfadc[k][tstart+ij] < dfadcmin) &&
 222                            (fadc > fCutAmplitude)) {
 223                             tstop = tstart+ij+5;
 224                             if(tstop > 255) tstop = 255;
 225                             dfadcmin = dfadc[k][it+ij];
 226                         } // end if
 227                     } // end for ij
 228
 229                     Float_t clusterCharge = 0.;
 230                     Float_t clusterAnode  = k+0.5;
 231                     Float_t clusterTime   = 0.;
 232                     Int_t   clusterMult   = 0;
 233                     Float_t clusterPeakAmplitude = 0.;
 234                     Int_t its,peakpos     = -1;
 235                     Float_t n, baseline;
 236                     fResponse->GetNoiseParam(n,baseline);
 237                     for(its=tstart; its<=tstop; its++) {
 238                         fadc=(float)fMap->GetSignal(idx,its);
 239                         if(fadc>baseline) fadc -= baseline;
 240                         else fadc = 0.;
 241                         clusterCharge += fadc;
 242                         // as a matter of fact we should take the peak
 243                         // pos before FFT
 244                         // to get the list of tracks !!!
 245                         if(fadc > clusterPeakAmplitude) {
 246                             clusterPeakAmplitude = fadc;
 247                             //peakpos=fMap->GetHitIndex(idx,its);
 248                             Int_t shift = (int)(fTimeCorr/fTimeStep);
 249                             if(its>shift && its<(fMaxNofSamples-shift))
 250                                 peakpos  = fMap->GetHitIndex(idx,its+shift);
 251                             else peakpos = fMap->GetHitIndex(idx,its);
 252                             if(peakpos<0) peakpos =fMap->GetHitIndex(idx,its);
 253                         } // end if
 254                         clusterTime += fadc*its;
 255                         if(fadc > 0) clusterMult++;
 256                         if(its == tstop) {
 257                             clusterTime /= (clusterCharge/fTimeStep);   // ns
 258                             if(clusterTime>fTimeCorr) clusterTime -=fTimeCorr;
 259                             //ns
 260                         } // end if
 261                     } // end for its
 262
 263                     Float_t clusteranodePath = (clusterAnode - fNofAnodes/2)*
 264                                                anodePitch;
 265                     Float_t clusterDriftPath = clusterTime*fDriftSpeed;
 266                     clusterDriftPath = fSddLength-clusterDriftPath;
 267                     if(clusterCharge <= 0.) break;
 268                     AliITSRawClusterSDD clust(j+1,//i
 269                                               clusterAnode,clusterTime,//ff
 270                                               clusterCharge, //f
 271                                               clusterPeakAmplitude, //f
 272                                               peakpos, //i
 273                                               0.,0.,clusterDriftPath,//fff
 274                                               clusteranodePath, //f
 275                                               clusterMult, //i
 276                                               0,0,0,0,0,0,0);//7*i
 277                     iTS->AddCluster(1,&clust);
 278                     it = tstop;
 279                 } // ilcl
 280                 it++;
 281             } // while (samples)
 282         } // anodes
 283     } // detectors (2)
 284
 285     for(i=0;i<fNofAnodes;i++) delete[] dfadc[i];
 286     delete [] dfadc;
 287
 288     return;
 289 }
 290
 291
 292
 293 //______________________________________________________________________
 294 void AliITSClusterFinderSDD::Find1DClustersE(){
 295     // find 1D clusters
 296     static AliITS *iTS=(AliITS*)gAlice->GetModule("ITS");
 297     // retrieve the parameters
 298     Int_t fNofMaps = fSegmentation->Npz();
 299     Int_t fMaxNofSamples = fSegmentation->Npx();
 300     Int_t fNofAnodes = fNofMaps/2;
 301     Int_t dummy=0;
 302     Float_t fTimeStep = fSegmentation->Dpx( dummy );
 303     Float_t fSddLength = fSegmentation->Dx();
 304     Float_t fDriftSpeed = fResponse->DriftSpeed();
 305     Float_t anodePitch = fSegmentation->Dpz( dummy );
 306     Float_t n, baseline;
 307     fResponse->GetNoiseParam( n, baseline );
 308     // map the signal
 309     fMap->ClearMap();
 310     fMap->SetThreshold( fCutAmplitude );
 311     fMap->FillMap();
 312
 313     Int_t nClu = 0;
 314     //        cout << "Search  cluster... "<< endl;
 315     for( Int_t j=0; j<2; j++ ){
 316         for( Int_t k=0; k<fNofAnodes; k++ ){
 317             Int_t idx = j*fNofAnodes+k;
 318             Bool_t on = kFALSE;
 319             Int_t start = 0;
 320             Int_t nTsteps = 0;
 321             Float_t fmax = 0.;
 322             Int_t lmax = 0;
 323             Float_t charge = 0.;
 324             Float_t time = 0.;
 325             Float_t anode = k+0.5;
 326             Int_t peakpos = -1;
 327             for( Int_t l=0; l<fMaxNofSamples; l++ ){
 328                 Float_t fadc = (Float_t)fMap->GetSignal( idx, l );
 329                 if( fadc > 0.0 ){
 330                     if( on == kFALSE && l<fMaxNofSamples-4){
 331                         // star RawCluster (reset var.)
 332                         Float_t fadc1 = (Float_t)fMap->GetSignal( idx, l+1 );
 333                         if( fadc1 < fadc ) continue;
 334                         start = l;
 335                         fmax = 0.;
 336                         lmax = 0;
 337                         time = 0.;
 338                         charge = 0.;
 339                         on = kTRUE;
 340                         nTsteps = 0;
 341                     } // end if on...
 342                     nTsteps++ ;
 343                     if( fadc > baseline ) fadc -= baseline;
 344                     else fadc=0.;
 345                     charge += fadc;
 346                     time += fadc*l;
 347                     if( fadc > fmax ){
 348                         fmax = fadc;
 349                         lmax = l;
 350                         Int_t shift = (Int_t)(fTimeCorr/fTimeStep + 0.5);
 351                         if( l > shift && l < (fMaxNofSamples-shift) )
 352                             peakpos = fMap->GetHitIndex( idx, l+shift );
 353                         else
 354                             peakpos = fMap->GetHitIndex( idx, l );
 355                         if( peakpos < 0) peakpos = fMap->GetHitIndex( idx, l );
 356                     } // end if fadc
 357                 }else{ // end fadc>0
 358                     if( on == kTRUE ){
 359                         if( nTsteps > 2 ){
 360                             //  min # of timesteps for a RawCluster
 361                             // Found a RawCluster...
 362                             Int_t stop = l-1;
 363                             time /= (charge/fTimeStep);   // ns
 364                                 // time = lmax*fTimeStep;   // ns
 365                             if( time > fTimeCorr ) time -= fTimeCorr;   // ns
 366                             Float_t anodePath = (anode - fNofAnodes/2)*anodePitch;
 367                             Float_t driftPath = time*fDriftSpeed;
 368                             driftPath = fSddLength-driftPath;
 369                             AliITSRawClusterSDD clust(j+1,anode,time,charge,
 370                                                       fmax, peakpos,0.,0.,
 371                                                       driftPath,anodePath,
 372                                                       nTsteps,start,stop,
 373                                                       start, stop, 1, k, k );
 374                             iTS->AddCluster( 1, &clust );
 375                             //        clust.PrintInfo();
 376                             nClu++;
 377                         } // end if nTsteps
 378                         on = kFALSE;
 379                     } // end if on==kTRUE
 380                 } // end if fadc>0
 381             } // samples
 382         } // anodes
 383     } // wings
 384     //        cout << "# Rawclusters " << nClu << endl;
 385     return;
 386 }
 387 //_______________________________________________________________________
 388 Int_t AliITSClusterFinderSDD::SearchPeak(Float_t *spect,Int_t xdim,Int_t zdim,
 389                                          Int_t *peakX, Int_t *peakZ,
 390                                          Float_t *peakAmp, Float_t minpeak ){
 391     // search peaks on a 2D cluster
 392     Int_t npeak = 0;    // # peaks
 393     Int_t i,j;
 394     // search peaks
 395     for( Int_t z=1; z<zdim-1; z++ ){
 396         for( Int_t x=1; x<xdim-2; x++ ){
 397             Float_t sxz = spect[x*zdim+z];
 398             Float_t sxz1 = spect[(x+1)*zdim+z];
 399             Float_t sxz2 = spect[(x-1)*zdim+z];
 400             // search a local max. in s[x,z]
 401             if( sxz < minpeak || sxz1 <= 0 || sxz2 <= 0 ) continue;
 402             if( sxz >= spect[(x+1)*zdim+z  ] && sxz >= spect[(x-1)*zdim+z  ] &&
 403                 sxz >= spect[x*zdim    +z+1] && sxz >= spect[x*zdim    +z-1] &&
 404                 sxz >= spect[(x+1)*zdim+z+1] && sxz >= spect[(x+1)*zdim+z-1] &&
 405                 sxz >= spect[(x-1)*zdim+z+1] && sxz >= spect[(x-1)*zdim+z-1] ){
 406                 // peak found
 407                 peakX[npeak] = x;
 408                 peakZ[npeak] = z;
 409                 peakAmp[npeak] = sxz;
 410                 npeak++;
 411             } // end if ....
 412         } // end for x
 413     } // end for z
 414     // search groups of peaks with same amplitude.
 415     Int_t *flag = new Int_t[npeak];
 416     for( i=0; i<npeak; i++ ) flag[i] = 0;
 417     for( i=0; i<npeak; i++ ){
 418         for( j=0; j<npeak; j++ ){
 419             if( i==j) continue;
 420             if( flag[j] > 0 ) continue;
 421             if( peakAmp[i] == peakAmp[j] &&
 422                 TMath::Abs(peakX[i]-peakX[j])<=1 &&
 423                 TMath::Abs(peakZ[i]-peakZ[j])<=1 ){
 424                 if( flag[i] == 0) flag[i] = i+1;
 425                 flag[j] = flag[i];
 426             } // end if ...
 427         } // end for j
 428     } // end for i
 429     // make average of peak groups
 430     for( i=0; i<npeak; i++ ){
 431         Int_t nFlag = 1;
 432         if( flag[i] <= 0 ) continue;
 433         for( j=0; j<npeak; j++ ){
 434             if( i==j ) continue;
 435             if( flag[j] != flag[i] ) continue;
 436             peakX[i] += peakX[j];
 437             peakZ[i] += peakZ[j];
 438             nFlag++;
 439             npeak--;
 440             for( Int_t k=j; k<npeak; k++ ){
 441                 peakX[k] = peakX[k+1];
 442                 peakZ[k] = peakZ[k+1];
 443                 peakAmp[k] = peakAmp[k+1];
 444                 flag[k] = flag[k+1];
 445             } // end for k
 446             j--;
 447         } // end for j
 448         if( nFlag > 1 ){
 449             peakX[i] /= nFlag;
 450             peakZ[i] /= nFlag;
 451         } // end fi nFlag
 452     } // end for i
 453     delete [] flag;
 454     return( npeak );
 455 }
 456 //______________________________________________________________________
 457 void AliITSClusterFinderSDD::PeakFunc( Int_t xdim, Int_t zdim, Float_t *par,
 458                                        Float_t *spe, Float_t *integral){
 459     // function used to fit the clusters
 460     // par -> parameters..
 461     // par[0]  number of peaks.
 462     // for each peak i=1, ..., par[0]
 463     //                 par[i] = Ampl.
 464     //                 par[i+1] = xpos
 465     //                 par[i+2] = zpos
 466     //                 par[i+3] = tau
 467     //                 par[i+4] = sigma.
 468     Int_t electronics = fResponse->Electronics(); // 1 = PASCAL, 2 = OLA
 469     const Int_t knParam = 5;
 470     Int_t npeak = (Int_t)par[0];
 471
 472     memset( spe, 0, sizeof( Float_t )*zdim*xdim );
 473
 474     Int_t k = 1;
 475     for( Int_t i=0; i<npeak; i++ ){
 476         if( integral != 0 ) integral[i] = 0.;
 477         Float_t sigmaA2 = par[k+4]*par[k+4]*2.;
 478         Float_t t2 = par[k+3];   // PASCAL
 479         if( electronics == 2 ) { t2 *= t2; t2 *= 2; } // OLA
 480         for( Int_t z=0; z<zdim; z++ ){
 481             for( Int_t x=0; x<xdim; x++ ){
 482                 Float_t z2 = (z-par[k+2])*(z-par[k+2])/sigmaA2;
 483                 Float_t x2 = 0.;
 484                 Float_t signal = 0.;
 485                 if( electronics == 1 ){ // PASCAL
 486                     x2 = (x-par[k+1]+t2)/t2;
 487                     signal = (x2>0.) ? par[k]*x2*exp(-x2+1.-z2) :0.0; // RCCR2
 488                 //  signal =(x2>0.) ? par[k]*x2*x2*exp(-2*x2+2.-z2 ):0.0;//RCCR
 489                 }else if( electronics == 2 ) { // OLA
 490                     x2 = (x-par[k+1])*(x-par[k+1])/t2;
 491                     signal = par[k]  * exp( -x2 - z2 );
 492                 } else {
 493                   Warning("PeakFunc","Wrong SDD Electronics = %d",electronics);
 494                     // exit( 1 );
 495                 } // end if electronicx
 496                 spe[x*zdim+z] += signal;
 497                 if( integral != 0 ) integral[i] += signal;
 498             } // end for x
 499         } // end for z
 500         k += knParam;
 501     } // end for i
 502     return;
 503 }
 504 //__________________________________________________________________________
 505 Float_t AliITSClusterFinderSDD::ChiSqr( Int_t xdim, Int_t zdim, Float_t *spe,
 506                                         Float_t *speFit ) const{
 507     // EVALUATES UNNORMALIZED CHI-SQUARED
 508     Float_t chi2 = 0.;
 509     for( Int_t z=0; z<zdim; z++ ){
 510         for( Int_t x=1; x<xdim-1; x++ ){
 511             Int_t index = x*zdim+z;
 512             Float_t tmp = spe[index] - speFit[index];
 513             chi2 += tmp*tmp;
 514         } // end for x
 515     } // end for z
 516     return( chi2 );
 517 }
 518 //_______________________________________________________________________
 519 void AliITSClusterFinderSDD::Minim( Int_t xdim, Int_t zdim, Float_t *param,
 520                                     Float_t *prm0,Float_t *steprm,
 521                                     Float_t *chisqr,Float_t *spe,
 522                                     Float_t *speFit ){
 523     //
 524     Int_t   k, nnn, mmm, i;
 525     Float_t p1, delta, d1, chisq1, p2, chisq2, t, p3, chisq3, a, b, p0, chisqt;
 526     const Int_t knParam = 5;
 527     Int_t npeak = (Int_t)param[0];
 528     for( k=1; k<(npeak*knParam+1); k++ ) prm0[k] = param[k];
 529     for( k=1; k<(npeak*knParam+1); k++ ){
 530         p1 = param[k];
 531         delta = steprm[k];
 532         d1 = delta;
 533         // ENSURE THAT STEP SIZE IS SENSIBLY LARGER THAN MACHINE ROUND OFF
 534         if( fabs( p1 ) > 1.0E-6 )
 535             if ( fabs( delta/p1 ) < 1.0E-4 ) delta = p1/1000;
 536             else  delta = (Float_t)1.0E-4;
 537         //  EVALUATE CHI-SQUARED AT FIRST TWO SEARCH POINTS
 538         PeakFunc( xdim, zdim, param, speFit );
 539         chisq1 = ChiSqr( xdim, zdim, spe, speFit );
 540         p2 = p1+delta;
 541         param[k] = p2;
 542         PeakFunc( xdim, zdim, param, speFit );
 543         chisq2 = ChiSqr( xdim, zdim, spe, speFit );
 544         if( chisq1 < chisq2 ){
 545             // REVERSE DIRECTION OF SEARCH IF CHI-SQUARED IS INCREASING
 546             delta = -delta;
 547             t = p1;
 548             p1 = p2;
 549             p2 = t;
 550             t = chisq1;
 551             chisq1 = chisq2;
 552             chisq2 = t;
 553         } // end if
 554         i = 1; nnn = 0;
 555         do {   // INCREMENT param(K) UNTIL CHI-SQUARED STARTS TO INCREASE
 556             nnn++;
 557             p3 = p2 + delta;
 558             mmm = nnn - (nnn/5)*5;  // multiplo de 5
 559             if( mmm == 0 ){
 560                 d1 = delta;
 561                 // INCREASE STEP SIZE IF STEPPING TOWARDS MINIMUM IS TOO SLOW
 562                 delta *= 5;
 563             } // end if
 564             param[k] = p3;
 565             // Constrain paramiters
 566             Int_t kpos = (k-1) % knParam;
 567             switch( kpos ){
 568             case 0 :
 569                 if( param[k] <= 20 ) param[k] = fMinPeak;
 570                 break;
 571             case 1 :
 572                 if( fabs( param[k] - prm0[k] ) > 1.5 ) param[k] = prm0[k];
 573                 break;
 574             case 2 :
 575                 if( fabs( param[k] - prm0[k] ) > 1. ) param[k] = prm0[k];
 576                 break;
 577             case 3 :
 578                 if( param[k] < .5 ) param[k] = .5;
 579                 break;
 580             case 4 :
 581                 if( param[k] < .288 ) param[k] = .288;        // 1/sqrt(12) = 0.288
 582                 if( param[k] > zdim*.5 ) param[k] = zdim*.5;
 583                 break;
 584             }; // end switch
 585             PeakFunc( xdim, zdim, param, speFit );
 586             chisq3 = ChiSqr( xdim, zdim, spe, speFit );
 587             if( chisq3 < chisq2 && nnn < 50 ){
 588                 p1 = p2;
 589                 p2 = p3;
 590                 chisq1 = chisq2;
 591                 chisq2 = chisq3;
 592             }else i=0;
 593         } while( i );
 594         // FIND MINIMUM OF PARABOLA DEFINED BY LAST THREE POINTS
 595         a = chisq1*(p2-p3)+chisq2*(p3-p1)+chisq3*(p1-p2);
 596         b = chisq1*(p2*p2-p3*p3)+chisq2*(p3*p3-p1*p1)+chisq3*(p1*p1-p2*p2);
 597         if( a!=0 ) p0 = (Float_t)(0.5*b/a);
 598         else p0 = 10000;
 599         //--IN CASE OF NEARLY EQUAL CHI-SQUARED AND TOO SMALL STEP SIZE PREVENT
 600         //   ERRONEOUS EVALUATION OF PARABOLA MINIMUM
 601         //---NEXT TWO LINES CAN BE OMITTED FOR HIGHER PRECISION MACHINES
 602         //dp = (Float_t) max (fabs(p3-p2), fabs(p2-p1));
 603         //if( fabs( p2-p0 ) > dp ) p0 = p2;
 604         param[k] = p0;
 605         // Constrain paramiters
 606         Int_t kpos = (k-1) % knParam;
 607         switch( kpos ){
 608         case 0 :
 609             if( param[k] <= 20 ) param[k] = fMinPeak;
 610             break;
 611         case 1 :
 612             if( fabs( param[k] - prm0[k] ) > 1.5 ) param[k] = prm0[k];
 613             break;
 614         case 2 :
 615             if( fabs( param[k] - prm0[k] ) > 1. ) param[k] = prm0[k];
 616             break;
 617         case 3 :
 618             if( param[k] < .5 ) param[k] = .5;
 619             break;
 620         case 4 :
 621             if( param[k] < .288 ) param[k] = .288;  // 1/sqrt(12) = 0.288
 622             if( param[k] > zdim*.5 ) param[k] = zdim*.5;
 623             break;
 624         }; // end switch
 625         PeakFunc( xdim, zdim, param, speFit );
 626         chisqt = ChiSqr( xdim, zdim, spe, speFit );
 627         // DO NOT ALLOW ERRONEOUS INTERPOLATION
 628         if( chisqt <= *chisqr ) *chisqr = chisqt;
 629         else param[k] = prm0[k];
 630         // OPTIMIZE SEARCH STEP FOR EVENTUAL NEXT CALL OF MINIM
 631         steprm[k] = (param[k]-prm0[k])/5;
 632         if( steprm[k] >= d1 ) steprm[k] = d1/5;
 633     } // end for k
 634     // EVALUATE FIT AND CHI-SQUARED FOR OPTIMIZED PARAMETERS
 635     PeakFunc( xdim, zdim, param, speFit );
 636     *chisqr = ChiSqr( xdim, zdim, spe, speFit );
 637     return;
 638 }
 639 //_________________________________________________________________________
 640 Int_t AliITSClusterFinderSDD::NoLinearFit( Int_t xdim, Int_t zdim,
 641                                            Float_t *param, Float_t *spe,
 642                                            Int_t *niter, Float_t *chir ){
 643     // fit method from Comput. Phys. Commun 46(1987) 149
 644     const Float_t kchilmt = 0.01;  //        relative accuracy
 645     const Int_t   knel = 3;        //        for parabolic minimization
 646     const Int_t   knstop = 50;     //        Max. iteration number
 647     const Int_t   knParam = 5;
 648     Int_t npeak = (Int_t)param[0];
 649     // RETURN IF NUMBER OF DEGREES OF FREEDOM IS NOT POSITIVE
 650     if( (xdim*zdim - npeak*knParam) <= 0 ) return( -1 );
 651     Float_t degFree = (xdim*zdim - npeak*knParam)-1;
 652     Int_t   n, k, iterNum = 0;
 653     Float_t *prm0 = new Float_t[npeak*knParam+1];
 654     Float_t *step = new Float_t[npeak*knParam+1];
 655     Float_t *schi = new Float_t[npeak*knParam+1];
 656     Float_t *sprm[3];
 657     sprm[0] = new Float_t[npeak*knParam+1];
 658     sprm[1] = new Float_t[npeak*knParam+1];
 659     sprm[2] = new Float_t[npeak*knParam+1];
 660     Float_t  chi0, chi1, reldif, a, b, prmin, dp;
 661     Float_t *speFit = new Float_t[ xdim*zdim ];
 662     PeakFunc( xdim, zdim, param, speFit );
 663     chi0 = ChiSqr( xdim, zdim, spe, speFit );
 664     chi1 = chi0;
 665     for( k=1; k<(npeak*knParam+1); k++) prm0[k] = param[k];
 666         for( k=1 ; k<(npeak*knParam+1); k+=knParam ){
 667             step[k] = param[k] / 20.0 ;
 668             step[k+1] = param[k+1] / 50.0;
 669             step[k+2] = param[k+2] / 50.0;
 670             step[k+3] = param[k+3] / 20.0;
 671             step[k+4] = param[k+4] / 20.0;
 672         } // end for k
 673     Int_t out = 0;
 674     do{
 675         iterNum++;
 676             chi0 = chi1;
 677             Minim( xdim, zdim, param, prm0, step, &chi1, spe, speFit );
 678             reldif = ( chi1 > 0 ) ? ((Float_t) fabs( chi1-chi0)/chi1 ) : 0;
 679         // EXIT conditions
 680         if( reldif < (float) kchilmt ){
 681             *chir  = (chi1>0) ? (float) TMath::Sqrt (chi1/degFree) :0;
 682             *niter = iterNum;
 683             out = 0;
 684             break;
 685         } // end if
 686         if( (reldif < (float)(5*kchilmt)) && (iterNum > knstop) ){
 687             *chir = (chi1>0) ?(float) TMath::Sqrt (chi1/degFree):0;
 688             *niter = iterNum;
 689             out = 0;
 690             break;
 691         } // end if
 692         if( iterNum > 5*knstop ){
 693             *chir  = (chi1>0) ?(float) TMath::Sqrt (chi1/degFree):0;
 694             *niter = iterNum;
 695             out = 1;
 696             break;
 697         } // end if
 698         if( iterNum <= knel ) continue;
 699         n = iterNum - (iterNum/knel)*knel; // EXTRAPOLATION LIMIT COUNTER N
 700         if( n > 3 || n == 0 ) continue;
 701         schi[n-1] = chi1;
 702         for( k=1; k<(npeak*knParam+1); k++ ) sprm[n-1][k] = param[k];
 703         if( n != 3 ) continue;
 704         // -EVALUATE EXTRAPOLATED VALUE OF EACH PARAMETER BY FINDING MINIMUM OF
 705         //    PARABOLA DEFINED BY LAST THREE CALLS OF MINIM
 706         for( k=1; k<(npeak*knParam+1); k++ ){
 707             Float_t tmp0 = sprm[0][k];
 708             Float_t tmp1 = sprm[1][k];
 709             Float_t tmp2 = sprm[2][k];
 710             a  = schi[0]*(tmp1-tmp2) + schi[1]*(tmp2-tmp0);
 711             a += (schi[2]*(tmp0-tmp1));
 712             b  = schi[0]*(tmp1*tmp1-tmp2*tmp2);
 713             b += (schi[1]*(tmp2*tmp2-tmp0*tmp0)+(schi[2]*
 714                                              (tmp0*tmp0-tmp1*tmp1)));
 715             if ((double)a < 1.0E-6) prmin = 0;
 716             else prmin = (float) (0.5*b/a);
 717             dp = 5*(tmp2-tmp0);
 718             if( fabs(prmin-tmp2) > fabs(dp) ) prmin = tmp2+dp;
 719             param[k] = prmin;
 720             step[k]  = dp/10; // OPTIMIZE SEARCH STEP
 721         } // end for k
 722     } while( kTRUE );
 723     delete [] prm0;
 724     delete [] step;
 725     delete [] schi;
 726     delete [] sprm[0];
 727     delete [] sprm[1];
 728     delete [] sprm[2];
 729     delete [] speFit;
 730     return( out );
 731 }
 732
 733 //______________________________________________________________________
 734 void AliITSClusterFinderSDD::ResolveClustersE(){
 735     // The function to resolve clusters if the clusters overlapping exists
 736     Int_t i;
 737     static AliITS *iTS = (AliITS*)gAlice->GetModule( "ITS" );
 738     // get number of clusters for this module
 739     Int_t nofClusters = fClusters->GetEntriesFast();
 740     nofClusters -= fNclusters;
 741     Int_t fNofMaps = fSegmentation->Npz();
 742     Int_t fNofAnodes = fNofMaps/2;
 743     Int_t fMaxNofSamples = fSegmentation->Npx();
 744     Int_t dummy=0;
 745     Double_t fTimeStep = fSegmentation->Dpx( dummy );
 746     Double_t fSddLength = fSegmentation->Dx();
 747     Double_t fDriftSpeed = fResponse->DriftSpeed();
 748     Double_t anodePitch = fSegmentation->Dpz( dummy );
 749     Float_t n, baseline;
 750     fResponse->GetNoiseParam( n, baseline );
 751     Int_t electronics = fResponse->Electronics(); // 1 = PASCAL, 2 = OLA
 752
 753     for( Int_t j=0; j<nofClusters; j++ ){
 754         // get cluster information
 755         AliITSRawClusterSDD *clusterJ=(AliITSRawClusterSDD*) fClusters->At(j);
 756         Int_t astart = clusterJ->Astart();
 757         Int_t astop = clusterJ->Astop();
 758         Int_t tstart = clusterJ->Tstartf();
 759         Int_t tstop = clusterJ->Tstopf();
 760         Int_t wing = (Int_t)clusterJ->W();
 761         if( wing == 2 ){
 762             astart += fNofAnodes;
 763             astop  += fNofAnodes;
 764         } // end if
 765         Int_t xdim = tstop-tstart+3;
 766         Int_t zdim = astop-astart+3;
 767         if(xdim > 50 || zdim > 30) {
 768           Warning("ResolveClustersE","xdim: %d , zdim: %d ",xdim,zdim);
 769           continue;
 770         }
 771         Float_t *sp = new Float_t[ xdim*zdim+1 ];
 772         memset( sp, 0, sizeof(Float_t)*(xdim*zdim+1) );
 773
 774         // make a local map from cluster region
 775         for( Int_t ianode=astart; ianode<=astop; ianode++ ){
 776             for( Int_t itime=tstart; itime<=tstop; itime++ ){
 777                 Float_t fadc = fMap->GetSignal( ianode, itime );
 778                 if( fadc > baseline ) fadc -= (Double_t)baseline;
 779                 else fadc = 0.;
 780                 Int_t index = (itime-tstart+1)*zdim+(ianode-astart+1);
 781                 sp[index] = fadc;
 782             } // time loop
 783         } // anode loop
 784
 785         // search peaks on cluster
 786         const Int_t kNp = 150;
 787         Int_t peakX1[kNp];
 788         Int_t peakZ1[kNp];
 789         Float_t peakAmp1[kNp];
 790         Int_t npeak = SearchPeak(sp,xdim,zdim,peakX1,peakZ1,peakAmp1,fMinPeak);
 791
 792         // if multiple peaks, split cluster
 793         if( npeak >= 1 )
 794         {
 795             //        cout << "npeak " << npeak << endl;
 796             //        clusterJ->PrintInfo();
 797             Float_t *par = new Float_t[npeak*5+1];
 798             par[0] = (Float_t)npeak;
 799             // Initial parameters in cell dimentions
 800             Int_t k1 = 1;
 801             for( i=0; i<npeak; i++ ){
 802                 par[k1] = peakAmp1[i];
 803                 par[k1+1] = peakX1[i]; // local time pos. [timebin]
 804                 par[k1+2] = peakZ1[i]; // local anode pos. [anodepitch]
 805                 if( electronics == 1 )
 806                     par[k1+3] = 2.; // PASCAL
 807                 else if( electronics == 2 )
 808                     par[k1+3] = 0.7; // tau [timebin]  OLA
 809                 par[k1+4] = .4;    // sigma        [anodepich]
 810                 k1+=5;
 811             } // end for i
 812             Int_t niter;
 813             Float_t chir;
 814             NoLinearFit( xdim, zdim, par, sp, &niter, &chir );
 815             Float_t peakX[kNp];
 816             Float_t peakZ[kNp];
 817             Float_t sigma[kNp];
 818             Float_t tau[kNp];
 819             Float_t peakAmp[kNp];
 820             Float_t integral[kNp];
 821             //get integrals => charge for each peak
 822             PeakFunc( xdim, zdim, par, sp, integral );
 823             k1 = 1;
 824             for( i=0; i<npeak; i++ ){
 825                 peakAmp[i] = par[k1];
 826                 peakX[i] = par[k1+1];
 827                 peakZ[i] = par[k1+2];
 828                 tau[i] = par[k1+3];
 829                 sigma[i] = par[k1+4];
 830                 k1+=5;
 831             } // end for i
 832             // calculate parameter for new clusters
 833             for( i=0; i<npeak; i++ ){
 834                 AliITSRawClusterSDD clusterI( *clusterJ );
 835                 Int_t newAnode = peakZ1[i]-1 + astart;
 836                 Int_t newiTime = peakX1[i]-1 + tstart;
 837                 Int_t shift = (Int_t)(fTimeCorr/fTimeStep + 0.5);
 838                 if( newiTime > shift && newiTime < (fMaxNofSamples-shift) )
 839                     shift = 0;
 840                 Int_t peakpos = fMap->GetHitIndex( newAnode, newiTime+shift );
 841                 clusterI.SetPeakPos( peakpos );
 842                 clusterI.SetPeakAmpl( peakAmp1[i] );
 843                 Float_t newAnodef = peakZ[i] - 0.5 + astart;
 844                 Float_t newiTimef = peakX[i] - 1 + tstart;
 845                 if( wing == 2 ) newAnodef -= fNofAnodes;
 846                 Float_t anodePath = (newAnodef - fNofAnodes/2)*anodePitch;
 847                 newiTimef *= fTimeStep;
 848                 if( newiTimef > fTimeCorr ) newiTimef -= fTimeCorr;
 849                 if( electronics == 1 ){
 850                 //    newiTimef *= 0.999438;    // PASCAL
 851                 //    newiTimef += (6./fDriftSpeed - newiTimef/3000.);
 852                 }else if( electronics == 2 )
 853                     newiTimef *= 0.99714;    // OLA
 854                 Float_t driftPath = fSddLength - newiTimef * fDriftSpeed;
 855                 Float_t sign = ( wing == 1 ) ? -1. : 1.;
 856                 clusterI.SetX( driftPath*sign * 0.0001 );
 857                 clusterI.SetZ( anodePath * 0.0001 );
 858                 clusterI.SetAnode( newAnodef );
 859                 clusterI.SetTime( newiTimef );
 860                 clusterI.SetAsigma( sigma[i]*anodePitch );
 861                 clusterI.SetTsigma( tau[i]*fTimeStep );
 862                 clusterI.SetQ( integral[i] );
 863                 //    clusterI.PrintInfo();
 864                 iTS->AddCluster( 1, &clusterI );
 865             } // end for i
 866             fClusters->RemoveAt( j );
 867             delete [] par;
 868         } else {  // something odd
 869           Warning("ResolveClustersE","--- Peak not found!!!!  minpeak=%d ,cluster peak= %f , module= %d",fMinPeak,clusterJ->PeakAmpl(),fModule);
 870           clusterJ->PrintInfo();
 871           Warning("ResolveClustersE"," xdim= %d zdim= %d",xdim-2,zdim-2);
 872         }
 873         delete [] sp;
 874     } // cluster loop
 875     fClusters->Compress();
 876 //    fMap->ClearMap();
 877 }
 878
 879
 880 //________________________________________________________________________
 881 void  AliITSClusterFinderSDD::GroupClusters(){
 882     // group clusters
 883     Int_t dummy=0;
 884     Float_t fTimeStep = fSegmentation->Dpx(dummy);
 885     // get number of clusters for this module
 886     Int_t nofClusters = fClusters->GetEntriesFast();
 887     nofClusters -= fNclusters;
 888     AliITSRawClusterSDD *clusterI;
 889     AliITSRawClusterSDD *clusterJ;
 890     Int_t *label = new Int_t [nofClusters];
 891     Int_t i,j;
 892     for(i=0; i<nofClusters; i++) label[i] = 0;
 893     for(i=0; i<nofClusters; i++) {
 894         if(label[i] != 0) continue;
 895         for(j=i+1; j<nofClusters; j++) {
 896             if(label[j] != 0) continue;
 897             clusterI = (AliITSRawClusterSDD*) fClusters->At(i);
 898             clusterJ = (AliITSRawClusterSDD*) fClusters->At(j);
 899             // 1.3 good
 900             if(clusterI->T() < fTimeStep*60) fDAnode = 4.2;  // TB 3.2
 901             if(clusterI->T() < fTimeStep*10) fDAnode = 1.5;  // TB 1.
 902             Bool_t pair = clusterI->Brother(clusterJ,fDAnode,fDTime);
 903             if(!pair) continue;
 904             //      clusterI->PrintInfo();
 905             //      clusterJ->PrintInfo();
 906             clusterI->Add(clusterJ);
 907             label[j] = 1;
 908             fClusters->RemoveAt(j);
 909             j=i; // <- Ernesto
 910         } // J clusters
 911         label[i] = 1;
 912     } // I clusters
 913     fClusters->Compress();
 914
 915     delete [] label;
 916     return;
 917 }
 918 //________________________________________________________________________
 919 void AliITSClusterFinderSDD::SelectClusters(){
 920     // get number of clusters for this module
 921     Int_t nofClusters = fClusters->GetEntriesFast();
 922
 923     nofClusters -= fNclusters;
 924     Int_t i;
 925     for(i=0; i<nofClusters; i++) {
 926         AliITSRawClusterSDD *clusterI =(AliITSRawClusterSDD*) fClusters->At(i);
 927         Int_t rmflg = 0;
 928         Float_t wy = 0.;
 929         if(clusterI->Anodes() != 0.) {
 930             wy = ((Float_t) clusterI->Samples())/clusterI->Anodes();
 931         } // end if
 932         Int_t amp = (Int_t) clusterI->PeakAmpl();
 933         Int_t cha = (Int_t) clusterI->Q();
 934         if(amp < fMinPeak) rmflg = 1;
 935         if(cha < fMinCharge) rmflg = 1;
 936         if(wy < fMinNCells) rmflg = 1;
 937         //if(wy > fMaxNCells) rmflg = 1;
 938         if(rmflg) fClusters->RemoveAt(i);
 939     } // I clusters
 940     fClusters->Compress();
 941     return;
 942 }
 943 //__________________________________________________________________________
 944 void AliITSClusterFinderSDD::ResolveClusters(){
 945     // The function to resolve clusters if the clusters overlapping exists
 946 /*    AliITS *iTS=(AliITS*)gAlice->GetModule("ITS");
 947     // get number of clusters for this module
 948     Int_t nofClusters = fClusters->GetEntriesFast();
 949     nofClusters -= fNclusters;
 950     //cout<<"Resolve Cl: nofClusters, fNclusters ="<<nofClusters<<","
 951     // <<fNclusters<<endl;
 952     Int_t fNofMaps = fSegmentation->Npz();
 953     Int_t fNofAnodes = fNofMaps/2;
 954     Int_t dummy=0;
 955     Double_t fTimeStep = fSegmentation->Dpx(dummy);
 956     Double_t fSddLength = fSegmentation->Dx();
 957     Double_t fDriftSpeed = fResponse->DriftSpeed();
 958     Double_t anodePitch = fSegmentation->Dpz(dummy);
 959     Float_t n, baseline;
 960     fResponse->GetNoiseParam(n,baseline);
 961     Float_t dzz_1A = anodePitch * anodePitch / 12;
 962     // fill Map of signals
 963     fMap->FillMap();
 964     Int_t j,i,ii,ianode,anode,itime;
 965     Int_t wing,astart,astop,tstart,tstop,nanode;
 966     Double_t fadc,ClusterTime;
 967     Double_t q[400],x[400],z[400]; // digit charges and coordinates
 968     for(j=0; j<nofClusters; j++) {
 969         AliITSRawClusterSDD *clusterJ=(AliITSRawClusterSDD*) fClusters->At(j);
 970         Int_t ndigits = 0;
 971         astart=clusterJ->Astart();
 972         astop=clusterJ->Astop();
 973         tstart=clusterJ->Tstartf();
 974         tstop=clusterJ->Tstopf();
 975         nanode=clusterJ->Anodes();  // <- Ernesto
 976         wing=(Int_t)clusterJ->W();
 977         if(wing == 2) {
 978             astart += fNofAnodes;
 979             astop  += fNofAnodes;
 980         }  // end if
 981         // cout<<"astart,astop,tstart,tstop ="<<astart<<","<<astop<<","
 982         //      <<tstart<<","<<tstop<<endl;
 983         // clear the digit arrays
 984         for(ii=0; ii<400; ii++) {
 985             q[ii] = 0.;
 986             x[ii] = 0.;
 987             z[ii] = 0.;
 988         } // end for ii
 989
 990         for(ianode=astart; ianode<=astop; ianode++) {
 991             for(itime=tstart; itime<=tstop; itime++) {
 992                 fadc=fMap->GetSignal(ianode,itime);
 993                 if(fadc>baseline) {
 994                     fadc-=(Double_t)baseline;
 995                     q[ndigits] = fadc*(fTimeStep/160);  // KeV
 996                     anode = ianode;
 997                     if(wing == 2) anode -= fNofAnodes;
 998                     z[ndigits] = (anode + 0.5 - fNofAnodes/2)*anodePitch;
 999                     ClusterTime = itime*fTimeStep;
1000                     if(ClusterTime > fTimeCorr) ClusterTime -= fTimeCorr;// ns
1001                     x[ndigits] = fSddLength - ClusterTime*fDriftSpeed;
1002                     if(wing == 1) x[ndigits] *= (-1);
1003                     // cout<<"ianode,itime,fadc ="<<ianode<<","<<itime<<","
1004                     //     <<fadc<<endl;
1005                     // cout<<"wing,anode,ndigits,charge ="<<wing<<","
1006                     //      <<anode<<","<<ndigits<<","<<q[ndigits]<<endl;
1007                     ndigits++;
1008                     continue;
1009                 } //  end if
1010                 fadc=0;
1011                 //              cout<<"fadc=0, ndigits ="<<ndigits<<endl;
1012             } // time loop
1013         } // anode loop
1014         //     cout<<"for new cluster ndigits ="<<ndigits<<endl;
1015         // Fit cluster to resolve for two separate ones --------------------
1016         Double_t qq=0., xm=0., zm=0., xx=0., zz=0., xz=0.;
1017         Double_t dxx=0., dzz=0., dxz=0.;
1018         Double_t scl = 0., tmp, tga, elps = -1.;
1019         Double_t xfit[2], zfit[2], qfit[2];
1020         Double_t pitchz = anodePitch*1.e-4;             // cm
1021         Double_t pitchx = fTimeStep*fDriftSpeed*1.e-4;  // cm
1022         Double_t sigma2;
1023         Int_t nfhits;
1024         Int_t nbins = ndigits;
1025         Int_t separate = 0;
1026         // now, all lengths are in microns
1027         for (ii=0; ii<nbins; ii++) {
1028             qq += q[ii];
1029             xm += x[ii]*q[ii];
1030             zm += z[ii]*q[ii];
1031             xx += x[ii]*x[ii]*q[ii];
1032             zz += z[ii]*z[ii]*q[ii];
1033             xz += x[ii]*z[ii]*q[ii];
1034         } // end for ii
1035         xm /= qq;
1036         zm /= qq;
1037         xx /= qq;
1038         zz /= qq;
1039         xz /= qq;
1040         dxx = xx - xm*xm;
1041         dzz = zz - zm*zm;
1042         dxz = xz - xm*zm;
1043
1044         // shrink the cluster in the time direction proportionaly to the
1045         // dxx/dzz, which lineary depends from the drift path
1046         // new  Ernesto........
1047         if( nanode == 1 ){
1048             dzz = dzz_1A; // for one anode cluster dzz = anode**2/12
1049             scl = TMath::Sqrt( 7.2/(-0.57*xm*1.e-3+71.8) );
1050         } // end if
1051         if( nanode == 2 ){
1052             scl = TMath::Sqrt( (-0.18*xm*1.e-3+21.3)/(-0.57*xm*1.e-3+71.8) );
1053         } // end if
1054         if( nanode == 3 ){
1055             scl = TMath::Sqrt( (-0.5*xm*1.e-3+34.5)/(-0.57*xm*1.e-3+71.8) );
1056         } // end if
1057         if( nanode > 3 ){
1058             scl = TMath::Sqrt( (1.3*xm*1.e-3+49.)/(-0.57*xm*1.e-3+71.8) );
1059         } // end if
1060         //   cout<<"1 microns: zm,dzz,xm,dxx,dxz,qq ="<<zm<<","<<dzz<<","
1061         //  <<xm<<","<<dxx<<","<<dxz<<","<<qq<<endl;
1062         //  old Boris.........
1063         //  tmp=29730. - 585.*fabs(xm/1000.);
1064         //  scl=TMath::Sqrt(tmp/130000.);
1065
1066         xm *= scl;
1067         xx *= scl*scl;
1068         xz *= scl;
1069
1070         dxx = xx - xm*xm;
1071         //   dzz = zz - zm*zm;
1072         dxz = xz - xm*zm;
1073         //   cout<<"microns: zm,dzz,xm,dxx,xz,dxz,qq ="<<zm<<","<<dzz<<","
1074         // <<xm<<","<<dxx<<","<<xz<<","<<dxz<<","<<qq<<endl;
1075         // if(dzz < 7200.) dzz=7200.;//for one anode cluster dzz = anode**2/12
1076
1077         if (dxx < 0.) dxx=0.;
1078         // the data if no cluster overlapping (the coordunates are in cm)
1079         nfhits = 1;
1080         xfit[0] = xm*1.e-4;
1081         zfit[0] = zm*1.e-4;
1082         qfit[0] = qq;
1083         //   if(nbins < 7) cout<<"**** nbins ="<<nbins<<endl;
1084
1085         if (nbins >= 7) {
1086             if (dxz==0.) tga=0.;
1087             else {
1088                 tmp=0.5*(dzz-dxx)/dxz;
1089                 tga = (dxz<0.) ? tmp-TMath::Sqrt(tmp*tmp+1) :
1090                                                    tmp+TMath::Sqrt(tmp*tmp+1);
1091             } // end if dxz
1092             elps=(tga*tga*dxx-2*tga*dxz+dzz)/(dxx+2*tga*dxz+tga*tga*dzz);
1093             // change from microns to cm
1094             xm *= 1.e-4;
1095             zm *= 1.e-4;
1096             zz *= 1.e-8;
1097             xx *= 1.e-8;
1098             xz *= 1.e-8;
1099             dxz *= 1.e-8;
1100             dxx *= 1.e-8;
1101             dzz *= 1.e-8;
1102             //   cout<<"cm: zm,dzz,xm,dxx,xz,dxz,qq ="<<zm<<","<<dzz<<","
1103             //  <<xm<<","<<dxx<<","<<xz<<","<<dxz<<","<<qq<<endl;
1104             for (i=0; i<nbins; i++) {
1105                 x[i] = x[i] *= scl;
1106                 x[i] = x[i] *= 1.e-4;
1107                 z[i] = z[i] *= 1.e-4;
1108             } // end for i
1109             //     cout<<"!!! elps ="<<elps<<endl;
1110             if (elps < 0.3) { // try to separate hits
1111                 separate = 1;
1112                 tmp=atan(tga);
1113                 Double_t cosa=cos(tmp),sina=sin(tmp);
1114                 Double_t a1=0., x1=0., xxx=0.;
1115                 for (i=0; i<nbins; i++) {
1116                     tmp=x[i]*cosa + z[i]*sina;
1117                     if (q[i] > a1) {
1118                         a1=q[i];
1119                         x1=tmp;
1120                     } // end if
1121                     xxx += tmp*tmp*tmp*q[i];
1122                 } // end for i
1123                 xxx /= qq;
1124                 Double_t z12=-sina*xm + cosa*zm;
1125                 sigma2=(sina*sina*xx-2*cosa*sina*xz+cosa*cosa*zz) - z12*z12;
1126                 xm=cosa*xm + sina*zm;
1127                 xx=cosa*cosa*xx + 2*cosa*sina*xz + sina*sina*zz;
1128                 Double_t x2=(xx - xm*x1 - sigma2)/(xm - x1);
1129                 Double_t r=a1*2*TMath::ACos(-1.)*sigma2/(qq*pitchx*pitchz);
1130                 for (i=0; i<33; i++) { // solve a system of equations
1131                     Double_t x1_old=x1, x2_old=x2, r_old=r;
1132                     Double_t c11=x1-x2;
1133                     Double_t c12=r;
1134                     Double_t c13=1-r;
1135                     Double_t c21=x1*x1 - x2*x2;
1136                     Double_t c22=2*r*x1;
1137                     Double_t c23=2*(1-r)*x2;
1138                     Double_t c31=3*sigma2*(x1-x2) + x1*x1*x1 - x2*x2*x2;
1139                     Double_t c32=3*r*(sigma2 + x1*x1);
1140                     Double_t c33=3*(1-r)*(sigma2 + x2*x2);
1141                     Double_t f1=-(r*x1 + (1-r)*x2 - xm);
1142                     Double_t f2=-(r*(sigma2+x1*x1)+(1-r)*(sigma2+x2*x2)- xx);
1143                     Double_t f3=-(r*x1*(3*sigma2+x1*x1)+(1-r)*x2*
1144                                                          (3*sigma2+x2*x2)-xxx);
1145                     Double_t d=c11*c22*c33+c21*c32*c13+c12*c23*c31-
1146                                        c31*c22*c13 - c21*c12*c33 - c32*c23*c11;
1147                     if (d==0.) {
1148                         cout<<"*********** d=0 ***********\n";
1149                         break;
1150                     } // end if
1151                     Double_t dr=f1*c22*c33 + f2*c32*c13 + c12*c23*f3 -
1152                         f3*c22*c13 - f2*c12*c33 - c32*c23*f1;
1153                     Double_t d1=c11*f2*c33 + c21*f3*c13 + f1*c23*c31 -
1154                         c31*f2*c13 - c21*f1*c33 - f3*c23*c11;
1155                     Double_t d2=c11*c22*f3 + c21*c32*f1 + c12*f2*c31 -
1156                         c31*c22*f1 - c21*c12*f3 - c32*f2*c11;
1157                     r  += dr/d;
1158                     x1 += d1/d;
1159                     x2 += d2/d;
1160                     if (fabs(x1-x1_old) > 0.0001) continue;
1161                     if (fabs(x2-x2_old) > 0.0001) continue;
1162                     if (fabs(r-r_old)/5 > 0.001) continue;
1163                     a1=r*qq*pitchx*pitchz/(2*TMath::ACos(-1.)*sigma2);
1164                     Double_t a2=a1*(1-r)/r;
1165                     qfit[0]=a1; xfit[0]=x1*cosa - z12*sina; zfit[0]=x1*sina +
1166                                                                 z12*cosa;
1167                     qfit[1]=a2; xfit[1]=x2*cosa - z12*sina; zfit[1]=x2*sina +
1168                                                                 z12*cosa;
1169                     nfhits=2;
1170                     break; // Ok !
1171                 } // end for i
1172                 if (i==33) cerr<<"No more iterations ! "<<endl;
1173             } // end of attempt to separate overlapped clusters
1174         } // end of nbins cut
1175         if(elps < 0.) cout<<" elps=-1 ="<<elps<<endl;
1176         if(elps >0. && elps< 0.3 && nfhits == 1) cout<<" small elps, nfh=1 ="
1177                                                      <<elps<<","<<nfhits<<endl;
1178         if(nfhits == 2) cout<<" nfhits=2 ="<<nfhits<<endl;
1179         for (i=0; i<nfhits; i++) {
1180             xfit[i] *= (1.e+4/scl);
1181             if(wing == 1) xfit[i] *= (-1);
1182             zfit[i] *= 1.e+4;
1183             //       cout<<" ---------  i,xfiti,zfiti,qfiti ="<<i<<","
1184             // <<xfit[i]<<","<<zfit[i]<<","<<qfit[i]<<endl;
1185         } // end for i
1186         Int_t ncl = nfhits;
1187         if(nfhits == 1 && separate == 1) {
1188             cout<<"!!!!! no separate"<<endl;
1189             ncl = -2;
1190         }  // end if
1191         if(nfhits == 2) {
1192             cout << "Split cluster: " << endl;
1193             clusterJ->PrintInfo();
1194             cout << " in: " << endl;
1195             for (i=0; i<nfhits; i++) {
1196                 // AliITSRawClusterSDD *clust = new AliITSRawClusterSDD(wing,
1197                                                -1,-1,(Float_t)qfit[i],ncl,0,0,
1198                                                (Float_t)xfit[i],
1199                                                (Float_t)zfit[i],0,0,0,0,
1200                                                 tstart,tstop,astart,astop);
1201             //        AliITSRawClusterSDD *clust = new AliITSRawClusterSDD(wing,-1,
1202             //                                 -1,(Float_t)qfit[i],0,0,0,
1203             //                                  (Float_t)xfit[i],
1204             //                                  (Float_t)zfit[i],0,0,0,0,
1205             //                                  tstart,tstop,astart,astop,ncl);
1206             // ???????????
1207             // if(wing == 1) xfit[i] *= (-1);
1208             Float_t Anode = (zfit[i]/anodePitch+fNofAnodes/2-0.5);
1209             Float_t Time = (fSddLength - xfit[i])/fDriftSpeed;
1210             Float_t clusterPeakAmplitude = clusterJ->PeakAmpl();
1211             Float_t peakpos = clusterJ->PeakPos();
1212             Float_t clusteranodePath = (Anode - fNofAnodes/2)*anodePitch;
1213             Float_t clusterDriftPath = Time*fDriftSpeed;
1214             clusterDriftPath = fSddLength-clusterDriftPath;
1215             AliITSRawClusterSDD *clust = new AliITSRawClusterSDD(wing,Anode,
1216                                                                  Time,qfit[i],
1217                                                clusterPeakAmplitude,peakpos,
1218                                                0.,0.,clusterDriftPath,
1219                                          clusteranodePath,clusterJ->Samples()/2
1220                                     ,tstart,tstop,0,0,0,astart,astop);
1221             clust->PrintInfo();
1222             iTS->AddCluster(1,clust);
1223             //        cout<<"new cluster added: tstart,tstop,astart,astop,x,ncl ="
1224             // <<tstart<<","<<tstop<<","<<astart<<","<<astop<<","<<xfit[i]
1225             // <<","<<ncl<<endl;
1226             delete clust;
1227         }// nfhits loop
1228         fClusters->RemoveAt(j);
1229     } // if nfhits = 2
1230 } // cluster loop
1231 fClusters->Compress();
1232 fMap->ClearMap();
1233 */
1234     return;
1235 }
1236 //______________________________________________________________________
1237 void AliITSClusterFinderSDD::GetRecPoints(){
1238     // get rec points
1239     static AliITS *iTS=(AliITS*)gAlice->GetModule("ITS");
1240     // get number of clusters for this module
1241     Int_t nofClusters = fClusters->GetEntriesFast();
1242     nofClusters -= fNclusters;
1243     const Float_t kconvGeV = 1.e-6; // GeV -> KeV
1244     const Float_t kconv = 1.0e-4;
1245     const Float_t kRMSx = 38.0*kconv; // microns->cm ITS TDR Table 1.3
1246     const Float_t kRMSz = 28.0*kconv; // microns->cm ITS TDR Table 1.3
1247     Int_t i,j;
1248     Int_t ix, iz, idx=-1;
1249     AliITSdigitSDD *dig=0;
1250     Int_t ndigits=fDigits->GetEntriesFast();
1251     for(i=0; i<nofClusters; i++) {
1252         AliITSRawClusterSDD *clusterI = (AliITSRawClusterSDD*)fClusters->At(i);
1253         if(!clusterI) Error("SDD: GetRecPoints","i clusterI ",i,clusterI);
1254         if(clusterI) idx=clusterI->PeakPos();
1255         if(idx>ndigits) Error("SDD: GetRecPoints","idx ndigits",idx,ndigits);
1256         // try peak neighbours - to be done
1257         if(idx&&idx<= ndigits) dig =(AliITSdigitSDD*)fDigits->UncheckedAt(idx);
1258         //// debug
1259         //      cout<<"R.C. Anode = "<<clusterI->A()<<"; Time= "<<clusterI->T()<<endl;
1260         fSegmentation->LocalToDet(clusterI->X(),clusterI->Z(),ix,iz);
1261         //      cout<<"From R.C. coordinates- Anode: "<<iz<<" and time: "<<ix<<endl;
1262         // end debug
1263         Int_t trks[10];
1264         Int_t notr=-1;
1265         Int_t deger = 0;
1266         if(!dig) {
1267           Warning("GetRecPoints","Cannot assign the track number\n");
1268         }
1269         else {
1270           fSegmentation->LocalToDet(clusterI->X(),clusterI->Z(),ix,iz);
1271           Int_t signal[30];
1272           for(Int_t kk=0;kk<9;kk++)trks[kk]=-2;
1273           AliITSdigitSDD * pdig = 0;
1274           for(Int_t itime=ix-1;itime<=ix+1;itime++){
1275             if(itime<0 || itime>=fSegmentation->Npx())continue;
1276             for(Int_t ianod=iz-1;ianod<=iz+1;ianod++){
1277               if(ianod<0 || ianod>=fSegmentation->Npz())continue;
1278               if(iz==(fSegmentation->Npz())/2 && ianod<iz)continue;
1279               if(iz==(fSegmentation->Npz())/2-1 && ianod>iz)continue;
1280               pdig = (AliITSdigitSDD*)fMap->GetHit(ianod,itime);
1281               if(pdig){
1282                 for(Int_t kk=0;kk<3;kk++){
1283                   if(kk == 0 || (kk>0 && pdig->fTracks[kk]>=0)){
1284                     notr++;
1285                     trks[notr]=pdig->fTracks[kk];
1286                     signal[notr]=pdig->fSignal;
1287                   }
1288                 }
1289               }
1290             }
1291           } // for(itime....
1292           if((dig->fCoord1<(iz-1) || dig->fCoord1>(iz+1))
1293              && (dig->fCoord2<(ix-1) || dig->fCoord2>(ix+1))
1294              && dig->fTracks[0]>=-2){
1295             notr++;
1296             trks[notr]=dig->fTracks[0];
1297             signal[notr]=dig->fSignal;
1298           }
1299           for(Int_t ii=0; ii<notr;ii++){
1300             for(Int_t jj=ii+1; jj<=notr; jj++){
1301               if(trks[ii] == trks[jj]){
1302                 signal[ii]+=signal[jj];
1303                 signal[jj]=-100;
1304                 trks[jj]=-jj-100;
1305                 deger++;
1306               }
1307             }
1308           }
1309           Int_t ordtmp;
1310           for(Int_t ii=0; ii<notr;ii++){
1311             Int_t maxi = ii;
1312             for(Int_t jj=ii+1; jj<=notr; jj++){
1313               if(signal[jj]>signal[maxi])maxi=jj;
1314             }
1315             ordtmp = trks[ii];
1316             trks[ii]=trks[maxi];
1317             trks[maxi]=ordtmp;
1318             ordtmp = signal[ii];
1319             signal[ii]=signal[maxi];
1320             signal[maxi]=ordtmp;
1321           }
1322         }
1323         notr-=deger;
1324         notr++;
1325         /*
1326           if(!dig) {
1327             // try cog
1328             fSegmentation->GetPadIxz(clusterI->X(),clusterI->Z(),ix,iz);
1329             dig = (AliITSdigitSDD*)fMap->GetHit(iz-1,ix-1);
1330             // if null try neighbours
1331             if (!dig) dig = (AliITSdigitSDD*)fMap->GetHit(iz-1,ix);
1332             if (!dig) dig = (AliITSdigitSDD*)fMap->GetHit(iz-1,ix+1);
1333             if (!dig) printf("SDD: cannot assign the track number!\n");
1334         } //  end if !dig
1335         */
1336         AliITSRecPoint rnew;
1337         rnew.SetX(clusterI->X());
1338         rnew.SetZ(clusterI->Z());
1339         rnew.SetQ(clusterI->Q());   // in KeV - should be ADC
1340         //      cout<<"Cluster # "<<i<< " - X,Z,Q= "<<clusterI->X()<<" "<<clusterI->Z()<<" "<<clusterI->Q()<<"; Digit n= "<<idx<<endl;
1341         rnew.SetdEdX(kconvGeV*clusterI->Q());
1342         rnew.SetSigmaX2(kRMSx*kRMSx);
1343         rnew.SetSigmaZ2(kRMSz*kRMSz);
1344         if(notr>3)notr=3;
1345         if(notr>=0)for(j=0;j<notr;j++)rnew.fTracks[j]=trks[j];
1346         /*
1347         if(dig){
1348           for(j=0;j<dig->GetNTracks();j++){
1349             if(j>0 && j%4==0)cout<<endl;
1350           }
1351           cout<<endl;
1352             rnew.fTracks[0] = dig->fTracks[0];
1353             cout<<"  "<<dig->fTracks[0]<<" assigned to rp 0 "<<rnew.fTracks[0]<<endl;
1354             rnew.fTracks[1] = -3;
1355             rnew.fTracks[2] = -3;
1356             j=1;
1357             while(rnew.fTracks[0]==dig->fTracks[j] &&
1358                   j<dig->GetNTracks()) j++;
1359             if(j<dig->GetNTracks()){
1360                 rnew.fTracks[1] = dig->fTracks[j];
1361                 cout<<"  Digit "<<j<<" "<<dig->fTracks[j]<<" assigned to rp 1 "<<rnew.fTracks[1]<<endl;
1362                 while((rnew.fTracks[0]==dig->fTracks[j] ||
1363                        rnew.fTracks[1]==dig->fTracks[j] )&&
1364                       j<dig->GetNTracks()) j++;
1365                 if(j<dig->GetNTracks()) {
1366                   rnew.fTracks[2] = dig->fTracks[j];
1367                   cout<<"  Digit "<<j<<" "<<dig->fTracks[j]<<" assigned to rp 2 "<<rnew.fTracks[2]<<endl;
1368                 }
1369             } // end if
1370         } // end if
1371         */
1372
1373         iTS->AddRecPoint(rnew);
1374     } // I clusters
1375 //    fMap->ClearMap();
1376 }
1377 //______________________________________________________________________
1378 void AliITSClusterFinderSDD::FindRawClusters(Int_t mod){
1379     // find raw clusters
1380
1381     fModule = mod;
1382
1383     Find1DClustersE();
1384     GroupClusters();
1385     SelectClusters();
1386     ResolveClustersE();
1387     GetRecPoints();
1388 }
1389 //_______________________________________________________________________
1390 void AliITSClusterFinderSDD::Print() const{
1391     // Print SDD cluster finder Parameters
1392
1393     cout << "**************************************************" << endl;
1394     cout << " Silicon Drift Detector Cluster Finder Parameters " << endl;
1395     cout << "**************************************************" << endl;
1396     cout << "Number of Clusters: " << fNclusters << endl;
1397     cout << "Anode Tolerance: " << fDAnode << endl;
1398     cout << "Time  Tolerance: " << fDTime << endl;
1399     cout << "Time  correction (electronics): " << fTimeCorr << endl;
1400     cout << "Cut Amplitude (threshold): " << fCutAmplitude << endl;
1401     cout << "Minimum Amplitude: " << fMinPeak << endl;
1402     cout << "Minimum Charge: " << fMinCharge << endl;
1403     cout << "Minimum number of cells/clusters: " << fMinNCells << endl;
1404     cout << "Maximum number of cells/clusters: " << fMaxNCells << endl;
1405     cout << "**************************************************" << endl;
1406 }