1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
18 //-----------------------------------------------------------------------------
19 /// \class AliMUONClusterSplitterMLEM
21 /// Splitter class for the MLEM algorithm. Performs fitting procedure
22 /// with up to 3 hit candidates and tries to split clusters if the number
23 /// of candidates exceeds 3.
25 /// \author Laurent Aphecetche (for the "new" C++ structure) and
26 /// Alexander Zinchenko, JINR Dubna, for the hardcore of it ;-)
27 //-----------------------------------------------------------------------------
29 #include "AliMUONClusterSplitterMLEM.h"
30 #include "AliMUONClusterFinderMLEM.h" // for status flag constants
32 #include "AliMUONCluster.h"
33 #include "AliMUONPad.h"
34 #include "AliMUONPad.h"
35 #include "AliMUONConstants.h"
36 #include "AliMpDEManager.h"
37 #include "AliMUONMathieson.h"
39 #include "AliMpEncodePair.h"
43 #include <TClonesArray.h>
47 #include <TObjArray.h>
49 #include <Riostream.h>
52 ClassImp(AliMUONClusterSplitterMLEM)
55 //const Double_t AliMUONClusterSplitterMLEM::fgkCouplMin = 1.e-3; // threshold on coupling
56 const Double_t AliMUONClusterSplitterMLEM::fgkCouplMin = 1.e-2; // threshold on coupling
58 //_____________________________________________________________________________
59 AliMUONClusterSplitterMLEM::AliMUONClusterSplitterMLEM(Int_t detElemId,
61 Double_t lowestPixelCharge,
62 Double_t lowestPadCharge,
63 Double_t lowestClusterCharge)
67 fDetElemId(detElemId),
72 fLowestPixelCharge(lowestPixelCharge),
73 fLowestPadCharge(lowestPadCharge),
74 fLowestClusterCharge(lowestClusterCharge)
78 AliMq::Station12Type stationType = AliMpDEManager::GetStation12Type(fDetElemId);
80 Float_t kx3 = AliMUONConstants::SqrtKx3();
81 Float_t ky3 = AliMUONConstants::SqrtKy3();
82 Float_t pitch = AliMUONConstants::Pitch();
84 if ( stationType == AliMq::kStation1 )
86 kx3 = AliMUONConstants::SqrtKx3St1();
87 ky3 = AliMUONConstants::SqrtKy3St1();
88 pitch = AliMUONConstants::PitchSt1();
91 fMathieson = new AliMUONMathieson;
93 fMathieson->SetPitch(pitch);
94 fMathieson->SetSqrtKx3AndDeriveKx2Kx4(kx3);
95 fMathieson->SetSqrtKy3AndDeriveKy2Ky4(ky3);
99 //_____________________________________________________________________________
100 AliMUONClusterSplitterMLEM::~AliMUONClusterSplitterMLEM()
107 //_____________________________________________________________________________
109 AliMUONClusterSplitterMLEM::AddBin(TH2 *mlem,
110 Int_t ic, Int_t jc, Int_t mode,
111 Bool_t *used, TObjArray *pix)
113 /// Add a bin to the cluster
115 Int_t nx = mlem->GetNbinsX();
116 Int_t ny = mlem->GetNbinsY();
117 Double_t cont1, cont = mlem->GetCellContent(jc,ic);
118 AliMUONPad *pixPtr = 0;
120 Int_t ie = TMath::Min(ic+1,ny), je = TMath::Min(jc+1,nx);
121 for (Int_t i = TMath::Max(ic-1,1); i <= ie; ++i) {
122 for (Int_t j = TMath::Max(jc-1,1); j <= je; ++j) {
123 if (i != ic && j != jc) continue;
124 if (used[(i-1)*nx+j-1]) continue;
125 cont1 = mlem->GetCellContent(j,i);
126 if (mode && cont1 > cont) continue;
127 used[(i-1)*nx+j-1] = kTRUE;
128 if (cont1 < fLowestPixelCharge) continue;
129 if (pix) pix->Add(BinToPix(mlem,j,i));
131 pixPtr = new AliMUONPad (mlem->GetXaxis()->GetBinCenter(j),
132 mlem->GetYaxis()->GetBinCenter(i), 0, 0, cont1);
133 fPixArray->Add(pixPtr);
135 AddBin(mlem, i, j, mode, used, pix); // recursive call
140 //_____________________________________________________________________________
142 AliMUONClusterSplitterMLEM::AddCluster(Int_t ic, Int_t nclust,
144 Bool_t *used, Int_t *clustNumb, Int_t &nCoupled)
146 /// Add a cluster to the group of coupled clusters
148 for (Int_t i = 0; i < nclust; ++i) {
149 if (used[i]) continue;
150 if (aijcluclu(i,ic) < fgkCouplMin) continue;
152 clustNumb[nCoupled++] = i;
153 AddCluster(i, nclust, aijcluclu, used, clustNumb, nCoupled);
157 //_____________________________________________________________________________
159 AliMUONClusterSplitterMLEM::BinToPix(TH2 *mlem,
162 /// Translate histogram bin to pixel
164 Double_t yc = mlem->GetYaxis()->GetBinCenter(ic);
165 Double_t xc = mlem->GetXaxis()->GetBinCenter(jc);
167 Int_t nPix = fPixArray->GetEntriesFast();
168 AliMUONPad *pixPtr = NULL;
170 // Compare pixel and bin positions
171 for (Int_t i = 0; i < nPix; ++i) {
172 pixPtr = (AliMUONPad*) fPixArray->UncheckedAt(i);
173 if (pixPtr->Charge() < fLowestPixelCharge) continue;
174 if (TMath::Abs(pixPtr->Coord(0)-xc)<1.e-4 && TMath::Abs(pixPtr->Coord(1)-yc)<1.e-4)
176 //return (TObject*) pixPtr;
180 AliError(Form(" Something wrong ??? %f %f ", xc, yc));
184 //_____________________________________________________________________________
186 AliMUONClusterSplitterMLEM::ChargeIntegration(Double_t x, Double_t y,
187 const AliMUONPad& pad)
189 /// Compute the Mathieson integral on pad area, assuming the center
190 /// of the Mathieson is at (x,y)
192 TVector2 lowerLeft(TVector2(x,y)-pad.Position()-pad.Dimensions());
193 TVector2 upperRight(lowerLeft + pad.Dimensions()*2.0);
195 return fMathieson->IntXY(lowerLeft.X(),lowerLeft.Y(),
196 upperRight.X(),upperRight.Y());
199 //_____________________________________________________________________________
201 AliMUONClusterSplitterMLEM::Fcn1(const AliMUONCluster& cluster,
202 Int_t & /*fNpar*/, Double_t * /*gin*/,
203 Double_t &f, Double_t *par, Int_t iflag)
205 /// Computes the functional to be minimized
208 Double_t charge, delta, coef=0, chi2=0, qTot = 0;
209 static Double_t qAver = 0;
211 Int_t mult = cluster.Multiplicity(), iend = fNpar / 3;
212 for (Int_t j = 0; j < mult; ++j)
214 AliMUONPad* pad = cluster.Pad(j);
215 //if ( pad->Status() !=1 || pad->IsSaturated() ) continue;
216 if ( pad->Status() != AliMUONClusterFinderMLEM::GetUseForFitFlag() ||
217 pad->Charge() == 0 ) continue;
219 if ( pad->IsReal() ) npads++; // exclude virtual pads
220 qTot += pad->Charge();
223 for (Int_t i = 0; i <= iend; ++i)
227 coef = Param2Coef(i, coef, par);
228 charge += ChargeIntegration(par[indx],par[indx+1],*pad) * coef;
231 delta = charge - pad->Charge();
233 delta /= pad->Charge();
236 if (iflag == 0) qAver = qTot / npads;
240 //_____________________________________________________________________________
241 Double_t AliMUONClusterSplitterMLEM::Param2Coef(Int_t icand, Double_t coef, Double_t *par)
243 /// Extract hit contribution scale factor from fit parameters
245 if (fNpar == 2) return 1.;
246 if (fNpar == 5) return icand==0 ? par[2] : TMath::Max(1.-par[2],0.);
247 if (icand == 0) return par[2];
248 if (icand == 1) return TMath::Max((1.-par[2])*par[5], 0.);
249 return TMath::Max(1.-par[2]-coef,0.);
252 //_____________________________________________________________________________
254 AliMUONClusterSplitterMLEM::Fit(const AliMUONCluster& cluster,
255 Int_t iSimple, Int_t nfit,
256 Int_t *clustFit, TObjArray **clusters,
258 TObjArray& clusterList, TH2 *mlem)
260 /// Steering function and fitting procedure for the fit of pad charge distribution
262 // AliDebug(2,Form("iSimple=%d nfit=%d",iSimple,nfit));
264 Double_t xmin = mlem->GetXaxis()->GetXmin() - mlem->GetXaxis()->GetBinWidth(1);
265 Double_t xmax = mlem->GetXaxis()->GetXmax() + mlem->GetXaxis()->GetBinWidth(1);
266 Double_t ymin = mlem->GetYaxis()->GetXmin() - mlem->GetYaxis()->GetBinWidth(1);
267 Double_t ymax = mlem->GetYaxis()->GetXmax() + mlem->GetYaxis()->GetBinWidth(1);
268 Double_t xPad = 0, yPad = 99999;
270 // Number of pads to use and number of virtual pads
271 Int_t npads = 0, nVirtual = 0, nfit0 = nfit;
272 //cluster.Print("full");
273 Int_t mult = cluster.Multiplicity();
274 for (Int_t i = 0; i < mult; ++i )
276 AliMUONPad* pad = cluster.Pad(i);
277 if ( !pad->IsReal() ) ++nVirtual;
278 //if ( pad->Status() !=1 || pad->IsSaturated() ) continue;
279 if ( pad->Status() != AliMUONClusterFinderMLEM::GetUseForFitFlag() ) continue;
290 if (pad->DY() < pad->DX() )
305 if (npads < 2) return 0;
307 // FIXME : AliWarning("Reconnect the following code for hit/track passing ?");
309 // Int_t tracks[3] = {-1, -1, -1};
313 AliMUONDigit *mdig = 0;
314 for (Int_t cath=0; cath<2; cath++) {
315 for (Int_t i=0; i<fnPads[0]+fnPads[1]; i++) {
316 if (fPadIJ[0][i] != cath) continue;
317 if (fPadIJ[1][i] != 1) continue;
318 if (fXyq[3][i] < 0) continue; // exclude virtual pads
319 digit = TMath::Nint (fXyq[5][i]);
320 if (digit >= 0) mdig = fInput->Digit(cath,digit);
321 else mdig = fInput->Digit(TMath::Even(cath),-digit-1);
322 //if (!mdig) mdig = fInput->Digit(TMath::Even(cath),digit);
323 if (!mdig) continue; // protection for cluster display
324 if (mdig->Hit() >= 0) {
326 tracks[0] = mdig->Hit();
327 tracks[1] = mdig->Track(0);
328 } else if (mdig->Track(0) < tracks[1]) {
329 tracks[0] = mdig->Hit();
330 tracks[1] = mdig->Track(0);
333 if (mdig->Track(1) >= 0 && mdig->Track(1) != tracks[1]) {
334 if (tracks[2] < 0) tracks[2] = mdig->Track(1);
335 else tracks[2] = TMath::Min (tracks[2], mdig->Track(1));
338 } // for (Int_t cath=0;
341 // Get number of pads in X and Y
342 //const Int_t kStatusToTest(1);
343 const Int_t kStatusToTest(AliMUONClusterFinderMLEM::GetUseForFitFlag());
345 Long_t nofPads = cluster.NofPads(kStatusToTest);
346 Int_t nInX = AliMp::PairFirst(nofPads);
347 Int_t nInY = AliMp::PairSecond(nofPads);
351 for (Int_t j = 0; j < cluster.Multiplicity(); ++j) {
352 AliMUONPad *pad = cluster.Pad(j);
353 //if (pad->Status() == 1 && !pad->IsSaturated()) npadOK++;
354 if (pad->Status() == AliMUONClusterFinderMLEM::GetUseForFitFlag() && !pad->IsSaturated()) npadOK++;
356 cout << " Number of pads to fit: " << npadOK << endl;
357 cout << " nInX and Y: " << nInX << " " << nInY << endl;
361 nfitMax = TMath::Min (nfitMax, (npads + 1) / 3);
363 if (((nInX < 3) && (nInY < 3)) || ((nInX == 3) && (nInY < 3)) || ((nInX < 3) && (nInY == 3))) nfitMax = 1; // not enough pads in each direction
365 if (nfit > nfitMax) nfit = nfitMax;
367 // Take cluster maxima as fitting seeds
371 Double_t cont, cmax = 0, xseed = 0, yseed = 0, errOk[8], qq = 0;
372 Double_t xyseed[3][2], qseed[3], xyCand[3][2] = {{0},{0}}, sigCand[3][2] = {{0},{0}};
374 for (Int_t ifit = 1; ifit <= nfit0; ++ifit)
377 pix = clusters[clustFit[ifit-1]];
378 npxclu = pix->GetEntriesFast();
380 for (Int_t clu = 0; clu < npxclu; ++clu)
382 pixPtr = (AliMUONPad*) pix->UncheckedAt(clu);
383 cont = pixPtr->Charge();
388 xseed = pixPtr->Coord(0);
389 yseed = pixPtr->Coord(1);
392 xyCand[0][0] += pixPtr->Coord(0) * cont;
393 xyCand[0][1] += pixPtr->Coord(1) * cont;
394 sigCand[0][0] += pixPtr->Coord(0) * pixPtr->Coord(0) * cont;
395 sigCand[0][1] += pixPtr->Coord(1) * pixPtr->Coord(1) * cont;
397 xyseed[ifit-1][0] = xseed;
398 xyseed[ifit-1][1] = yseed;
399 qseed[ifit-1] = cmax;
400 } // for (Int_t ifit=1;
402 xyCand[0][0] /= qq; // <x>
403 xyCand[0][1] /= qq; // <y>
404 sigCand[0][0] = sigCand[0][0]/qq - xyCand[0][0]*xyCand[0][0]; // <x^2> - <x>^2
405 sigCand[0][0] = sigCand[0][0] > 0 ? TMath::Sqrt (sigCand[0][0]) : 0;
406 sigCand[0][1] = sigCand[0][1]/qq - xyCand[0][1]*xyCand[0][1]; // <y^2> - <y>^2
407 sigCand[0][1] = sigCand[0][1] > 0 ? TMath::Sqrt (sigCand[0][1]) : 0;
408 if (fDebug) cout << xyCand[0][0] << " " << xyCand[0][1] << " " << sigCand[0][0] << " " << sigCand[0][1] << endl;
410 Int_t nDof, maxSeed[3];//, nMax = 0;
412 TMath::Sort(nfit0, qseed, maxSeed, kTRUE); // in decreasing order
414 Double_t step[3]={0.01,0.002,0.02}, fmin, chi2o = 9999, chi2n;
415 Double_t *gin = 0, func0, func1, param[8], step0[8];
416 Double_t param0[2][8]={{0},{0}}, deriv[2][8]={{0},{0}};
417 Double_t shift[8], stepMax, derMax, parmin[8], parmax[8], func2[2], shift0;
418 Double_t delta[8], scMax, dder[8], estim, shiftSave = 0;
419 Int_t min, max, nCall = 0, nLoop, idMax = 0, iestMax = 0, nFail;
420 Double_t rad, dist[3] = {0};
422 // Try to fit with one-track hypothesis, then 2-track. If chi2/dof is
423 // lower, try 3-track (if number of pads is sufficient).
424 Int_t iflag = 0; // for the first call of fcn1
425 for (Int_t iseed = 0; iseed < nfit; ++iseed)
428 Int_t memory[8] = {0};
431 for (Int_t j = 0; j < fNpar; ++j)
442 param[fNpar] = xyCand[0][0]; // take COG
446 param[fNpar] = xyseed[maxSeed[iseed]][0];
447 //param[fNpar] = fNpar==0 ? -16.1651 : -15.2761;
449 parmin[fNpar] = xmin;
450 parmax[fNpar++] = xmax;
453 param[fNpar] = xyCand[0][1]; // take COG
457 param[fNpar] = xyseed[maxSeed[iseed]][1];
458 //param[fNpar] = fNpar==1 ? -15.1737 : -15.8487;
460 parmin[fNpar] = ymin;
461 parmax[fNpar++] = ymax;
463 for (Int_t j = 0; j < fNpar; ++j)
465 step0[j] = shift[j] = step[j%3];
470 for (Int_t j = 0; j < fNpar; ++j)
476 for (Int_t j = 0; j < fNpar; ++j) cout << param[j] << " ";
481 min = nLoop = 1; stepMax = func2[1] = derMax = 999999; nFail = 0;
486 Fcn1(cluster,fNpar, gin, func0, param, iflag); nCall++;
488 //cout << " Func: " << func0 << endl;
491 for (Int_t j = 0; j < fNpar; ++j)
493 param0[max][j] = param[j];
495 param[j] += delta[j] / 10;
496 if (j > 0) param[j-1] -= delta[j-1] / 10;
497 Fcn1(cluster,fNpar, gin, func1, param, iflag); nCall++;
498 deriv[max][j] = (func1 - func0) / delta[j] * 10; // first derivative
499 //cout << j << " " << deriv[max][j] << endl;
500 dder[j] = param0[0][j] != param0[1][j] ? (deriv[0][j] - deriv[1][j]) /
501 (param0[0][j] - param0[1][j]) : 0; // second derivative
503 param[fNpar-1] -= delta[fNpar-1] / 10;
504 if (nCall > 2000) break;
506 min = func2[0] < func2[1] ? 0 : 1;
507 nFail = min == max ? 0 : nFail + 1;
509 stepMax = derMax = estim = 0;
510 for (Int_t j = 0; j < fNpar; ++j)
512 // Estimated distance to minimum
516 shift[j] = TMath::Sign (step0[j], -deriv[max][j]); // first step
518 else if (TMath::Abs(deriv[0][j]) < 1.e-3 && TMath::Abs(deriv[1][j]) < 1.e-3)
522 else if (((deriv[min][j]*deriv[!min][j] > 0) && (TMath::Abs(deriv[min][j]) > TMath::Abs(deriv[!min][j])))
523 || (TMath::Abs(deriv[0][j]-deriv[1][j]) < 1.e-3) || (TMath::Abs(dder[j]) < 1.e-6))
525 shift[j] = -TMath::Sign (shift[j], (func2[0]-func2[1]) * (param0[0][j]-param0[1][j]));
537 shift[j] = dder[j] != 0 ? -deriv[min][j] / dder[j] : 0;
541 Double_t es = TMath::Abs(shift[j]) / step0[j];
549 if (TMath::Abs(shift[j])/step0[j] > 10) shift[j] = TMath::Sign(10.,shift[j]) * step0[j]; //
551 // Failed to improve minimum
555 param[j] = param0[min][j];
556 if (TMath::Abs(shift[j]+shift0) > 0.1*step0[j])
558 shift[j] = (shift[j] + shift0) / 2;
567 if (TMath::Abs(shift[j]*deriv[min][j]) > func2[min])
569 shift[j] = TMath::Sign (func2[min]/deriv[min][j], shift[j]);
572 // Introduce step relaxation factor
575 scMax = 1 + 4 / TMath::Max(nLoop/2.,1.);
576 if (TMath::Abs(shift0) > 0 && TMath::Abs(shift[j]/shift0) > scMax)
578 shift[j] = TMath::Sign (shift0*scMax, shift[j]);
581 param[j] += shift[j];
582 // Check parameter limits
583 if (param[j] < parmin[j])
585 shift[j] = parmin[j] - param[j];
586 param[j] = parmin[j];
588 else if (param[j] > parmax[j])
590 shift[j] = parmax[j] - param[j];
591 param[j] = parmax[j];
593 //cout << " xxx " << j << " " << shift[j] << " " << param[j] << endl;
594 stepMax = TMath::Max (stepMax, TMath::Abs(shift[j]/step0[j]));
595 if (TMath::Abs(deriv[min][j]) > derMax)
598 derMax = TMath::Abs (deriv[min][j]);
600 } // for (Int_t j=0; j<fNpar;
602 if (((estim < 1) && (derMax < 2)) || nLoop > 150) break; // minimum was found
606 // Check for small step
607 if (shift[idMax] == 0)
609 shift[idMax] = step0[idMax]/10;
610 param[idMax] += shift[idMax];
614 if (!memory[idMax] && derMax > 0.5 && nLoop > 10)
616 if (dder[idMax] != 0 && TMath::Abs(deriv[min][idMax]/dder[idMax]/shift[idMax]) > 10)
618 if (min == max) dder[idMax] = -dder[idMax];
619 shift[idMax] = -deriv[min][idMax] / dder[idMax] / 10;
620 param[idMax] += shift[idMax];
621 stepMax = TMath::Max (stepMax, TMath::Abs(shift[idMax])/step0[idMax]);
622 if (min == max) shiftSave = shift[idMax];
626 param[idMax] -= shift[idMax];
627 shift[idMax] = 4 * shiftSave * (gRandom->Rndm(0) - 0.5);
628 param[idMax] += shift[idMax];
635 nDof = npads - fNpar + nVirtual;
638 if (fDebug) cout << " Chi2 " << chi2n << " " << fNpar << endl;
640 //if (fNpar > 2) cout << param0[min][fNpar-3] << " " << chi2n * (1+TMath::Min(1-param0[min][fNpar-3],0.25)) << endl;
641 //if (chi2n*1.2+1.e-6 > chi2o )
642 if (fNpar > 2 && (chi2n > chi2o || ((iseed == nfit-1)
643 && (chi2n * (1+TMath::Min(1-param0[min][fNpar-3],0.25)) > chi2o))))
644 { fNpar -= 3; break; }
646 // Save parameters and errors
649 // One pad per direction
650 //for (Int_t i=0; i<fNpar; ++i) if (i == 0 || i == 2 || i == 5) param0[min][i] = xPad;
651 for (Int_t i=0; i<fNpar; ++i) if (i == 0 || i == 2 || i == 5)
652 param0[min][i] = xyCand[0][0];
655 // One pad per direction
656 //for (Int_t i=0; i<fNpar; ++i) if (i == 1 || i == 3 || i == 6) param0[min][i] = yPad;
657 for (Int_t i=0; i<fNpar; ++i) if (i == 1 || i == 3 || i == 6)
658 param0[min][i] = xyCand[0][1];
663 // Find distance to the nearest neighbour
664 dist[0] = dist[1] = TMath::Sqrt ((param0[min][0]-param0[min][2])*
665 (param0[min][0]-param0[min][2])
666 +(param0[min][1]-param0[min][3])*
667 (param0[min][1]-param0[min][3]));
669 dist[2] = TMath::Sqrt ((param0[min][0]-param0[min][5])*
670 (param0[min][0]-param0[min][5])
671 +(param0[min][1]-param0[min][6])*
672 (param0[min][1]-param0[min][6]));
673 rad = TMath::Sqrt ((param0[min][2]-param0[min][5])*
674 (param0[min][2]-param0[min][5])
675 +(param0[min][3]-param0[min][6])*
676 (param0[min][3]-param0[min][6]));
677 if (dist[2] < dist[0]) dist[0] = dist[2];
678 if (rad < dist[1]) dist[1] = rad;
679 if (rad < dist[2]) dist[2] = rad;
681 cout << dist[0] << " " << dist[1] << " " << dist[2] << endl;
682 if (dist[TMath::LocMin(iseed+1,dist)] < 1.) { fNpar -= 3; break; }
686 for (Int_t i = 0; i < fNpar; ++i) {
687 parOk[i] = param0[min][i];
691 parOk[i] = TMath::Max (parOk[i], parmin[i]);
692 parOk[i] = TMath::Min (parOk[i], parmax[i]);
696 if (fmin < 0.1) break; // !!!???
697 } // for (Int_t iseed=0;
700 for (Int_t i=0; i<fNpar; ++i) {
701 if (i == 4 || i == 7) {
702 if ((i == 7) || ((i == 4) && (fNpar < 7))) cout << parOk[i] << endl;
703 else cout << parOk[i] * (1-parOk[7]) << endl;
706 cout << parOk[i] << " " << errOk[i] << endl;
709 nfit = (fNpar + 1) / 3;
710 dist[0] = dist[1] = dist[2] = 0;
713 // Find distance to the nearest neighbour
714 dist[0] = dist[1] = TMath::Sqrt ((parOk[0]-parOk[2])*
716 +(parOk[1]-parOk[3])*
717 (parOk[1]-parOk[3]));
719 dist[2] = TMath::Sqrt ((parOk[0]-parOk[5])*
721 +(parOk[1]-parOk[6])*
722 (parOk[1]-parOk[6]));
723 rad = TMath::Sqrt ((parOk[2]-parOk[5])*
725 +(parOk[3]-parOk[6])*
726 (parOk[3]-parOk[6]));
727 if (dist[2] < dist[0]) dist[0] = dist[2];
728 if (rad < dist[1]) dist[1] = rad;
729 if (rad < dist[2]) dist[2] = rad;
736 if (iSimple) fnCoupled = 0;
737 for (Int_t j = 0; j < nfit; ++j) {
739 coef = Param2Coef(j, coef, parOk);
741 //void AliMUONClusterFinderMLEM::AddRawCluster(Double_t x, Double_t y,
742 // Double_t qTot, Double_t fmin,
743 // Int_t nfit, Int_t *tracks,
744 // Double_t /*sigx*/,
745 // Double_t /*sigy*/,
746 // Double_t /*dist*/)
748 if ( coef*fQtot >= fLowestClusterCharge )
750 //AZ AliMUONCluster* cluster1 = new AliMUONCluster();
751 AliMUONCluster* cluster1 = new AliMUONCluster(cluster);
753 cluster1->SetCharge(coef*fQtot,coef*fQtot);
754 cluster1->SetPosition(TVector2(parOk[indx],parOk[indx+1]),TVector2(sigCand[0][0],sigCand[0][1]));
755 cluster1->SetChi2(dist[TMath::LocMin(nfit,dist)]);
757 // FIXME: we miss some information in this cluster, as compared to
758 // the original AddRawCluster code.
760 AliDebug(2,Form("Adding RawCluster detElemId %4d mult %2d charge %5d (xl,yl)=(%9.6g,%9.6g)",
761 fDetElemId,cluster1->Multiplicity(),(Int_t)cluster1->Charge(),
762 cluster1->Position().X(),cluster1->Position().Y()));
764 clusterList.Add(cluster1);
766 // AddRawCluster (parOk[indx], // double x
767 // parOk[indx+1], // double y
768 // coef*qTot, // double charge
769 // errOk[indx], // double fmin
770 // nfit0+10*nfit+100*nMax+10000*fnCoupled, // int nfit
771 // tracks, // int* tracks
772 // sigCand[0][0], // double sigx
773 // sigCand[0][1], // double sigy
774 // dist[TMath::LocMin(nfit,dist)] // double dist
781 //_____________________________________________________________________________
783 AliMUONClusterSplitterMLEM::Split(const AliMUONCluster& cluster,
784 TH2 *mlem, Double_t *coef,
785 TObjArray& clusterList)
787 /// The main steering function to work with clusters of pixels in anode
788 /// plane (find clusters, decouple them from each other, merge them (if
789 /// necessary), pick up coupled pads, call the fitting function)
791 Int_t nx = mlem->GetNbinsX();
792 Int_t ny = mlem->GetNbinsY();
793 Int_t nPix = fPixArray->GetEntriesFast();
796 Int_t nclust = 0, indx, indx1, nxy = ny * nx;
797 Bool_t *used = new Bool_t[nxy];
799 for (Int_t j = 0; j < nxy; ++j) used[j] = kFALSE;
801 TObjArray *clusters[200]={0};
804 // Find clusters of histogram bins (easier to work in 2-D space)
805 for (Int_t i = 1; i <= ny; ++i)
807 for (Int_t j = 1; j <= nx; ++j)
809 indx = (i-1)*nx + j - 1;
810 if (used[indx]) continue;
811 cont = mlem->GetCellContent(j,i);
812 if (cont < fLowestPixelCharge) continue;
813 pix = new TObjArray(20);
815 pix->Add(BinToPix(mlem,j,i));
816 AddBin(mlem, i, j, 0, used, pix); // recursive call
817 if (nclust >= 200) AliFatal(" Too many clusters !!!");
818 clusters[nclust++] = pix;
819 } // for (Int_t j=1; j<=nx; j++) {
820 } // for (Int_t i=1; i<=ny;
821 if (fDebug) cout << nclust << endl;
824 // Compute couplings between clusters and clusters to pads
825 Int_t npad = cluster.Multiplicity();
827 // Exclude pads with overflows
829 for (Int_t j = 0; j < npad; ++j)
831 AliMUONPad* pad = cluster.Pad(j);
832 if ( pad->IsSaturated() )
843 // Compute couplings of clusters to pads (including overflows)
844 TMatrixD aijclupad(nclust,npad);
847 for (Int_t iclust = 0; iclust < nclust; ++iclust)
849 pix = clusters[iclust];
850 npxclu = pix->GetEntriesFast();
851 for (Int_t i = 0; i < npxclu; ++i)
853 indx = fPixArray->IndexOf(pix->UncheckedAt(i));
854 for (Int_t j = 0; j < npad; ++j)
856 //AliMUONPad* pad = cluster.Pad(j);
857 //if ( pad->Status() < 0 && pad->Status() != -5) continue;
858 if (coef[j*nPix+indx] < fgkCouplMin) continue;
859 aijclupad(iclust,j) += coef[j*nPix+indx];
864 // Compute couplings between clusters (exclude overflows)
865 TMatrixD aijcluclu(nclust,nclust);
867 for (Int_t iclust = 0; iclust < nclust; ++iclust)
869 for (Int_t j = 0; j < npad; ++j)
872 //if ( cluster.Pad(j)->Status() < 0) continue;
873 if ( cluster.Pad(j)->IsSaturated()) continue;
874 if (aijclupad(iclust,j) < fgkCouplMin) continue;
875 for (Int_t iclust1=iclust+1; iclust1<nclust; iclust1++)
877 if (aijclupad(iclust1,j) < fgkCouplMin) continue;
878 aijcluclu(iclust,iclust1) +=
879 TMath::Sqrt (aijclupad(iclust,j)*aijclupad(iclust1,j));
883 for (Int_t iclust = 0; iclust < nclust; ++iclust)
885 for (Int_t iclust1 = iclust+1; iclust1 < nclust; ++iclust1)
887 aijcluclu(iclust1,iclust) = aijcluclu(iclust,iclust1);
891 if (fDebug && nclust > 1) aijcluclu.Print();
893 // Find groups of coupled clusters
894 used = new Bool_t[nclust];
895 for (Int_t j = 0; j < nclust; ++j) used[j] = kFALSE;
897 Int_t *clustNumb = new Int_t[nclust];
898 Int_t nCoupled, nForFit, minGroup[3], clustFit[3], nfit = 0;
900 Double_t parOk[8] = {0}; //AZ
902 for (Int_t igroup = 0; igroup < nclust; ++igroup)
904 if (used[igroup]) continue;
905 used[igroup] = kTRUE;
906 clustNumb[0] = igroup;
908 // Find group of coupled clusters
909 AddCluster(igroup, nclust, aijcluclu, used, clustNumb, nCoupled); // recursive
912 cout << " nCoupled: " << nCoupled << endl;
913 for (Int_t i=0; i<nCoupled; ++i) cout << clustNumb[i] << " "; cout << endl;
916 fnCoupled = nCoupled;
923 for (Int_t i = 0; i < nCoupled; ++i) clustFit[i] = clustNumb[i];
927 // Too many coupled clusters to fit - try to decouple them
928 // Find the lowest coupling of 1, 2, min(3,nLinks/2) pixels with
929 // all the others in the group
930 for (Int_t j = 0; j < 3; ++j) minGroup[j] = -1;
931 Double_t coupl = MinGroupCoupl(nCoupled, clustNumb, aijcluclu, minGroup);
933 // Flag clusters for fit
935 while (minGroup[nForFit] >= 0 && nForFit < 3)
937 if (fDebug) cout << clustNumb[minGroup[nForFit]] << " ";
938 clustFit[nForFit] = clustNumb[minGroup[nForFit]];
939 clustNumb[minGroup[nForFit]] -= 999;
942 if (fDebug) cout << " nForFit " << nForFit << " " << coupl << endl;
945 // Select pads for fit.
946 if (SelectPad(cluster,nCoupled, nForFit, clustNumb, clustFit, aijclupad) < 3 && nCoupled > 1)
949 for (Int_t j = 0; j < npad; ++j)
951 AliMUONPad* pad = cluster.Pad(j);
952 //if ( pad->Status()==1 ) pad->SetStatus(0);
953 //if ( pad->Status()==-9) pad->SetStatus(-5);
954 if ( pad->Status() == AliMUONClusterFinderMLEM::GetUseForFitFlag() ||
955 pad->Status() == AliMUONClusterFinderMLEM::GetCoupledFlag())
956 pad->SetStatus(AliMUONClusterFinderMLEM::GetZeroFlag());
958 // Merge the failed cluster candidates (with too few pads to fit) with
959 // the one with the strongest coupling
960 Merge(cluster,nForFit, nCoupled, clustNumb, clustFit, clusters, aijcluclu, aijclupad);
965 nfit = Fit(cluster,0, nForFit, clustFit, clusters, parOk, clusterList, mlem);
967 //cout << " (nfit == 0) " << fNpar << " " << cluster.Multiplicity() << endl;
968 fNpar = 0; // should be 0 by itself but just in case ...
972 // Subtract the fitted charges from pads with strong coupling and/or
973 // return pads for further use
974 UpdatePads(cluster,nfit, parOk);
977 for (Int_t j = 0; j < npad; ++j)
979 AliMUONPad* pad = cluster.Pad(j);
980 //if ( pad->Status()==1 ) pad->SetStatus(-2);
981 //if ( pad->Status()==-9) pad->SetStatus(-5);
982 if ( pad->Status() == AliMUONClusterFinderMLEM::GetUseForFitFlag() )
983 pad->SetStatus(AliMUONClusterFinderMLEM::GetModifiedFlag());
986 // Sort the clusters (move to the right the used ones)
987 Int_t beg = 0, end = nCoupled - 1;
990 if (clustNumb[beg] >= 0) { ++beg; continue; }
991 for (Int_t j = end; j > beg; --j)
993 if (clustNumb[j] < 0) continue;
995 indx = clustNumb[beg];
996 clustNumb[beg] = clustNumb[j];
1003 nCoupled -= nForFit;
1006 // Remove couplings of used clusters
1007 for (Int_t iclust = nCoupled; iclust < nCoupled+nForFit; ++iclust)
1009 indx = clustNumb[iclust] + 999;
1010 for (Int_t iclust1 = 0; iclust1 < nCoupled; ++iclust1)
1012 indx1 = clustNumb[iclust1];
1013 aijcluclu(indx,indx1) = aijcluclu(indx1,indx) = 0;
1017 // Update the remaining clusters couplings (subtract couplings from
1018 // the used pads) - overflows excluded
1019 for (Int_t j = 0; j < npad; ++j)
1021 AliMUONPad* pad = cluster.Pad(j);
1022 //if ( pad->Status() != -2) continue;
1023 if ( pad->Status() != AliMUONClusterFinderMLEM::GetModifiedFlag()) continue;
1024 for (Int_t iclust=0; iclust<nCoupled; ++iclust)
1026 indx = clustNumb[iclust];
1027 if (aijclupad(indx,j) < fgkCouplMin) continue;
1028 for (Int_t iclust1 = iclust+1; iclust1 < nCoupled; ++iclust1)
1030 indx1 = clustNumb[iclust1];
1031 if (aijclupad(indx1,j) < fgkCouplMin) continue;
1033 aijcluclu(indx,indx1) -=
1034 TMath::Sqrt (aijclupad(indx,j)*aijclupad(indx1,j));
1035 aijcluclu(indx1,indx) = aijcluclu(indx,indx1);
1038 //pad->SetStatus(-8);
1039 pad->SetStatus(AliMUONClusterFinderMLEM::GetOverFlag());
1040 } // for (Int_t j=0; j<npad;
1041 } // if (nCoupled > 3)
1042 } // while (nCoupled > 0)
1043 } // for (Int_t igroup=0; igroup<nclust;
1045 for (Int_t iclust = 0; iclust < nclust; ++iclust)
1047 pix = clusters[iclust];
1051 delete [] clustNumb;
1056 //_____________________________________________________________________________
1058 AliMUONClusterSplitterMLEM::Merge(const AliMUONCluster& cluster,
1059 Int_t nForFit, Int_t nCoupled,
1060 Int_t *clustNumb, Int_t *clustFit,
1061 TObjArray **clusters,
1062 TMatrixD& aijcluclu, TMatrixD& aijclupad)
1064 /// Merge the group of clusters with the one having the strongest coupling with them
1066 Int_t indx, indx1, npxclu, npxclu1, imax=0;
1067 TObjArray *pix, *pix1;
1070 for (Int_t icl = 0; icl < nForFit; ++icl)
1072 indx = clustFit[icl];
1073 pix = clusters[indx];
1074 npxclu = pix->GetEntriesFast();
1076 for (Int_t icl1 = 0; icl1 < nCoupled; ++icl1)
1078 indx1 = clustNumb[icl1];
1079 if (indx1 < 0) continue;
1080 if ( aijcluclu(indx,indx1) > couplMax)
1082 couplMax = aijcluclu(indx,indx1);
1085 } // for (Int_t icl1=0;
1087 pix1 = clusters[imax];
1088 npxclu1 = pix1->GetEntriesFast();
1090 for (Int_t i = 0; i < npxclu; ++i)
1092 pix1->Add(pix->UncheckedAt(i));
1096 //Add cluster-to-cluster couplings
1097 for (Int_t icl1 = 0; icl1 < nCoupled; ++icl1)
1099 indx1 = clustNumb[icl1];
1100 if (indx1 < 0 || indx1 == imax) continue;
1101 aijcluclu(indx1,imax) += aijcluclu(indx,indx1);
1102 aijcluclu(imax,indx1) = aijcluclu(indx1,imax);
1104 aijcluclu(indx,imax) = aijcluclu(imax,indx) = 0;
1106 //Add cluster-to-pad couplings
1107 Int_t mult = cluster.Multiplicity();
1108 for (Int_t j = 0; j < mult; ++j)
1110 AliMUONPad* pad = cluster.Pad(j);
1111 //if ( pad->Status() < 0 && pad->Status() != -5 ) continue;// exclude used pads
1112 if ( pad->Status() != AliMUONClusterFinderMLEM::GetZeroFlag()) continue;// exclude used pads
1113 aijclupad(imax,j) += aijclupad(indx,j);
1114 aijclupad(indx,j) = 0;
1116 } // for (Int_t icl=0; icl<nForFit;
1120 //_____________________________________________________________________________
1122 AliMUONClusterSplitterMLEM::MinGroupCoupl(Int_t nCoupled, Int_t *clustNumb,
1123 TMatrixD& aijcluclu, Int_t *minGroup)
1125 /// Find group of clusters with minimum coupling to all the others
1127 Int_t i123max = TMath::Min(3,nCoupled/2);
1128 Int_t indx, indx1, indx2, indx3, nTot = 0;
1129 Double_t *coupl1 = 0, *coupl2 = 0, *coupl3 = 0;
1131 for (Int_t i123 = 1; i123 <= i123max; ++i123) {
1134 coupl1 = new Double_t [nCoupled];
1135 for (Int_t i = 0; i < nCoupled; ++i) coupl1[i] = 0;
1137 else if (i123 == 2) {
1138 nTot = nCoupled*nCoupled;
1139 coupl2 = new Double_t [nTot];
1140 for (Int_t i = 0; i < nTot; ++i) coupl2[i] = 9999;
1142 nTot = nTot*nCoupled;
1143 coupl3 = new Double_t [nTot];
1144 for (Int_t i = 0; i < nTot; ++i) coupl3[i] = 9999;
1147 for (Int_t i = 0; i < nCoupled; ++i) {
1148 indx1 = clustNumb[i];
1149 for (Int_t j = i+1; j < nCoupled; ++j) {
1150 indx2 = clustNumb[j];
1152 coupl1[i] += aijcluclu(indx1,indx2);
1153 coupl1[j] += aijcluclu(indx1,indx2);
1155 else if (i123 == 2) {
1156 indx = i*nCoupled + j;
1157 coupl2[indx] = coupl1[i] + coupl1[j];
1158 coupl2[indx] -= 2 * (aijcluclu(indx1,indx2));
1160 for (Int_t k = j+1; k < nCoupled; ++k) {
1161 indx3 = clustNumb[k];
1162 indx = i*nCoupled*nCoupled + j*nCoupled + k;
1163 coupl3[indx] = coupl2[i*nCoupled+j] + coupl1[k];
1164 coupl3[indx] -= 2 * (aijcluclu(indx1,indx3)+aijcluclu(indx2,indx3));
1167 } // for (Int_t j=i+1;
1168 } // for (Int_t i=0;
1169 } // for (Int_t i123=1;
1171 // Find minimum coupling
1172 Double_t couplMin = 9999;
1175 for (Int_t i123 = 1; i123 <= i123max; ++i123) {
1177 locMin = TMath::LocMin(nCoupled, coupl1);
1178 couplMin = coupl1[locMin];
1179 minGroup[0] = locMin;
1182 else if (i123 == 2) {
1183 locMin = TMath::LocMin(nCoupled*nCoupled, coupl2);
1184 if (coupl2[locMin] < couplMin) {
1185 couplMin = coupl2[locMin];
1186 minGroup[0] = locMin/nCoupled;
1187 minGroup[1] = locMin%nCoupled;
1191 locMin = TMath::LocMin(nTot, coupl3);
1192 if (coupl3[locMin] < couplMin) {
1193 couplMin = coupl3[locMin];
1194 minGroup[0] = locMin/nCoupled/nCoupled;
1195 minGroup[1] = locMin%(nCoupled*nCoupled)/nCoupled;
1196 minGroup[2] = locMin%nCoupled;
1200 } // for (Int_t i123=1;
1204 //_____________________________________________________________________________
1206 AliMUONClusterSplitterMLEM::SelectPad(const AliMUONCluster& cluster,
1207 Int_t nCoupled, Int_t nForFit,
1208 Int_t *clustNumb, Int_t *clustFit,
1209 TMatrixD& aijclupad)
1211 /// Select pads for fit. If too many coupled clusters, find pads giving
1212 /// the strongest coupling with the rest of clusters and exclude them from the fit.
1214 Int_t npad = cluster.Multiplicity();
1215 Double_t *padpix = 0;
1219 padpix = new Double_t[npad];
1220 for (Int_t i = 0; i < npad; ++i) padpix[i] = 0.;
1223 Int_t nOK = 0, indx, indx1;
1224 for (Int_t iclust = 0; iclust < nForFit; ++iclust)
1226 indx = clustFit[iclust];
1227 for (Int_t j = 0; j < npad; ++j)
1229 if ( aijclupad(indx,j) < fgkCouplMin) continue;
1230 AliMUONPad* pad = cluster.Pad(j);
1232 if ( pad->Status() == -5 ) pad->SetStatus(-9); // flag overflow
1233 if ( pad->Status() < 0 ) continue; // exclude overflows and used pads
1234 if ( !pad->Status() )
1237 ++nOK; // pad to be used in fit
1240 if ( pad->Status() != AliMUONClusterFinderMLEM::GetZeroFlag()
1241 || pad->IsSaturated() ) continue; // used pads and overflows
1242 pad->SetStatus(AliMUONClusterFinderMLEM::GetUseForFitFlag());
1243 ++nOK; // pad to be used in fit
1247 // Check other clusters
1248 for (Int_t iclust1 = 0; iclust1 < nCoupled; ++iclust1)
1250 indx1 = clustNumb[iclust1];
1251 if (indx1 < 0) continue;
1252 if ( aijclupad(indx1,j) < fgkCouplMin ) continue;
1253 padpix[j] += aijclupad(indx1,j);
1255 } // if (nCoupled > 3)
1256 } // for (Int_t j=0; j<npad;
1257 } // for (Int_t iclust=0; iclust<nForFit
1258 if (nCoupled < 4) return nOK;
1261 for (Int_t j = 0; j < npad; ++j)
1263 if (padpix[j] < fgkCouplMin) continue;
1265 //cluster.Pad(j)->SetStatus(-1); // exclude pads with strong coupling to the other clusters
1266 cluster.Pad(j)->SetStatus(AliMUONClusterFinderMLEM::GetCoupledFlag()); // exclude pads with strong coupling to the other clusters
1273 //_____________________________________________________________________________
1275 AliMUONClusterSplitterMLEM::UpdatePads(const AliMUONCluster& cluster,
1276 Int_t /*nfit*/, Double_t *par)
1278 /// Subtract the fitted charges from pads with strong coupling
1280 Int_t indx, mult = cluster.Multiplicity(), iend = fNpar/3;
1281 Double_t charge, coef=0;
1283 for (Int_t j = 0; j < mult; ++j)
1285 AliMUONPad* pad = cluster.Pad(j);
1286 //if ( pad->Status() != -1 ) continue;
1287 if ( pad->Status() != AliMUONClusterFinderMLEM::GetCoupledFlag() ) continue;
1291 for (Int_t i = 0; i <= iend; ++i)
1295 coef = Param2Coef(i, coef, par);
1296 charge += ChargeIntegration(par[indx],par[indx+1],*pad) * coef;
1299 pad->SetCharge(pad->Charge()-charge);
1300 } // if (fNpar != 0)
1302 //if (pad->Charge() > 6 /*fgkZeroSuppression*/) pad->SetStatus(0);
1303 if (pad->Charge() > fLowestPadCharge) pad->SetStatus(AliMUONClusterFinderMLEM::GetZeroFlag());
1304 // return pad for further using // FIXME: remove usage of zerosuppression here
1305 else pad->SetStatus(AliMUONClusterFinderMLEM::GetOverFlag()); // do not use anymore
1307 } // for (Int_t j=0;