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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.              *
6  *                                                                        *
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  **************************************************************************/
15
16 /* $Id$ */
17
18 ////////////////////////////////////////////////////////////////////////////
19 //                                                                        //
20 //  The TRD track seed                                                    //
21 //                                                                        //
22 //  Authors:                                                              //
23 //    Alex Bercuci <A.Bercuci@gsi.de>                                     //
24 //    Markus Fasel <M.Fasel@gsi.de>                                       //
25 //                                                                        //
26 ////////////////////////////////////////////////////////////////////////////
27
28 #include "TMath.h"
29 #include "TLinearFitter.h"
30
31 #include "AliLog.h"
32 #include "AliMathBase.h"
33
34 #include "AliTRDseedV1.h"
35 #include "AliTRDcluster.h"
36 #include "AliTRDcalibDB.h"
37 #include "AliTRDstackLayer.h"
38 #include "AliTRDrecoParam.h"
39
40 #define SEED_DEBUG
41
42 ClassImp(AliTRDseedV1)
43
44 //____________________________________________________________________
45 AliTRDseedV1::AliTRDseedV1(Int_t layer, AliTRDrecoParam *p) 
46   :AliTRDseed()
47   ,fLayer(layer)
48   ,fTimeBins(0)
49   ,fOwner(kFALSE)
50   ,fRecoParam(p)
51 {
52   //
53   // Constructor
54   //
55
56         //AliInfo("");
57         AliTRDcalibDB *cal = AliTRDcalibDB::Instance();
58         fTimeBins = cal->GetNumberOfTimeBins();
59
60 }
61
62 //____________________________________________________________________
63 AliTRDseedV1::AliTRDseedV1(const AliTRDseedV1 &ref, Bool_t owner)
64   :AliTRDseed((AliTRDseed&)ref)
65   ,fLayer(ref.fLayer)
66   ,fTimeBins(ref.fTimeBins)
67   ,fOwner(kFALSE)
68   ,fRecoParam(ref.fRecoParam)
69 {
70   //
71   // Copy Constructor performing a deep copy
72   //
73
74         //AliInfo("");
75
76         if(owner){
77                 for(int ic=0; ic<fTimeBins; ic++){
78                         if(!fClusters[ic]) continue;
79                         fClusters[ic] = new AliTRDcluster(*fClusters[ic]);
80                 }
81                 fOwner = kTRUE;
82         }
83
84 }
85
86 //____________________________________________________________________
87 AliTRDseedV1& AliTRDseedV1::operator=(const AliTRDseedV1 &ref)
88 {
89   //
90   // Assignment Operator using the copy function
91   //
92
93         //AliInfo("");
94         if(this != &ref){
95                 ref.Copy(*this);
96         }
97         return *this;
98
99 }
100
101 //____________________________________________________________________
102 AliTRDseedV1::~AliTRDseedV1()
103 {
104   //
105   // Destructor. The RecoParam object belongs to the underlying tracker.
106   //
107
108         //AliInfo(Form("fOwner[%s]", fOwner?"YES":"NO"));
109
110         if(fOwner) delete [] fClusters;
111 }
112
113 //____________________________________________________________________
114 void AliTRDseedV1::Copy(TObject &ref) const
115 {
116   //
117   // Copy function
118   //
119
120         //AliInfo("");
121         AliTRDseedV1 &target = (AliTRDseedV1 &)ref; 
122         
123         target.fLayer     = fLayer;
124         target.fTimeBins  = fTimeBins;
125         target.fRecoParam = fRecoParam;
126         AliTRDseed::Copy(target);
127 }
128
129 //____________________________________________________________________
130 Float_t AliTRDseedV1::GetQuality(Bool_t kZcorr) const
131 {
132   //
133   // Returns a quality measurement of the current seed
134   //
135
136         Float_t zcorr = kZcorr ? fTilt * (fZProb - fZref[0]) : 0.;
137         return .5 * (18.0 - fN2)
138                 + 10.* TMath::Abs(fYfit[1] - fYref[1])
139                 + 5.* TMath::Abs(fYfit[0] - fYref[0] + zcorr)
140                 + 2. * TMath::Abs(fMeanz - fZref[0]) / fPadLength;
141 }
142
143 //____________________________________________________________________
144 Bool_t  AliTRDseedV1::AttachClustersIter(AliTRDstackLayer *layer
145                                        , Float_t quality
146                                        , Bool_t kZcorr
147                                        , AliTRDcluster *c)
148 {
149   //
150   // Iterative process to register clusters to the seed.
151   // In iteration 0 we try only one pad-row and if quality not
152   // sufficient we try 2 pad-rows (about 5% of tracks cross 2 pad-rows)
153   //
154         
155         if(!fRecoParam){
156                 AliError("Seed can not be used without a valid RecoParam.");
157                 return kFALSE;
158         }
159         
160         Float_t  tquality;
161         Double_t kroady = fRecoParam->GetRoad1y();
162         Double_t kroadz = fPadLength * .5 + 1.;
163         
164         // initialize configuration parameters
165         Float_t zcorr = kZcorr ? fTilt * (fZProb - fZref[0]) : 0.;
166         Int_t   niter = kZcorr ? 1 : 2;
167         
168         Double_t yexp, zexp;
169         Int_t ncl = 0;
170         // start seed update
171         for (Int_t iter = 0; iter < niter; iter++) {
172         //AliInfo(Form("iter = %i", iter));
173                 ncl = 0;
174                 for (Int_t iTime = 0; iTime < fTimeBins; iTime++) {
175                         // define searching configuration
176                         Double_t dxlayer = layer[iTime].GetX() - fX0;
177                         if(c){
178                                 zexp = c->GetZ();
179                                 //Try 2 pad-rows in second iteration
180                                 if (iter > 0) {
181                                         zexp = fZref[0] + fZref[1] * dxlayer - zcorr;
182                                         if (zexp > c->GetZ()) zexp = c->GetZ() + fPadLength*0.5;
183                                         if (zexp < c->GetZ()) zexp = c->GetZ() - fPadLength*0.5;
184                                 }
185                         } else zexp = fZref[0];
186                         yexp  = fYref[0] + fYref[1] * dxlayer - zcorr;
187                         // get  cluster
188 //                      printf("xexp = %3.3f ,yexp = %3.3f, zexp = %3.3f\n",layer[iTime].GetX(),yexp,zexp);
189 //                      printf("layer[%i].GetNClusters() = %i\n", iTime, layer[iTime].GetNClusters());
190                         Int_t    index = layer[iTime].SearchNearestCluster(yexp, zexp, kroady, kroadz);
191 //                      for(Int_t iclk = 0; iclk < layer[iTime].GetNClusters(); iclk++){
192 //                              AliTRDcluster *testcl = layer[iTime].GetCluster(iclk);
193 //                              printf("Cluster %i: x = %3.3f, y = %3.3f, z = %3.3f\n",iclk,testcl->GetX(), testcl->GetY(), testcl->GetZ());
194 //                      }
195 //                      printf("Index = %i\n",index);
196                         if (index < 0) continue;
197                         
198                         // Register cluster
199                         AliTRDcluster *cl = (AliTRDcluster*) layer[iTime].GetCluster(index);
200                         
201                         //printf("Cluster %i(0x%x): x = %3.3f, y = %3.3f, z = %3.3f\n", index, cl, cl->GetX(), cl->GetY(), cl->GetZ());
202
203                         Int_t GlobalIndex = layer[iTime].GetGlobalIndex(index);
204                         fIndexes[iTime]  = GlobalIndex;
205                         fClusters[iTime] = cl;
206                         fX[iTime]        = dxlayer;
207                         fY[iTime]        = cl->GetY();
208                         fZ[iTime]        = cl->GetZ();
209         
210                         // Debugging
211                         ncl++;
212                 }
213
214 #ifdef SEED_DEBUG
215 //              Int_t nclusters = 0;
216 //              Float_t fD[iter] = 0.;
217 //              for(int ic=0; ic<fTimeBins+1; ic++){
218 //                      AliTRDcluster *ci = fClusters[ic];
219 //                      if(!ci) continue;
220 //                      for(int jc=ic+1; jc<fTimeBins+1; jc++){
221 //                              AliTRDcluster *cj = fClusters[jc];
222 //                              if(!cj) continue;
223 //                              fD[iter] += TMath::Sqrt((ci->GetY()-cj->GetY())*(ci->GetY()-cj->GetY())+
224 //                              (ci->GetZ()-cj->GetZ())*(ci->GetZ()-cj->GetZ()));
225 //                              nclusters++;
226 //                      }
227 //              }
228 //              if(nclusters) fD[iter] /= float(nclusters);
229 #endif
230
231                 AliTRDseed::Update();
232
233                 if(IsOK()){
234                         tquality = GetQuality(kZcorr);
235                         if(tquality < quality) break;
236                         else quality = tquality;
237                 }
238                 kroadz *= 2.;
239         } // Loop: iter
240         if (!IsOK()) return kFALSE;
241
242         CookLabels();
243         UpdateUsed();
244         return kTRUE;   
245 }
246
247 //____________________________________________________________________
248 Bool_t  AliTRDseedV1::AttachClustersProj(AliTRDstackLayer *layer
249                                        , Float_t /*quality*/
250                                        , Bool_t kZcorr
251                                        , AliTRDcluster *c)
252 {
253   //
254   // Projective algorithm to attach clusters to seeding tracklets
255   //
256   // Parameters
257   //
258   // Output
259   //
260   // Detailed description
261   // 1. Collapse x coordinate for the full detector plane
262   // 2. truncated mean on y (r-phi) direction
263   // 3. purge clusters
264   // 4. truncated mean on z direction
265   // 5. purge clusters
266   // 6. fit tracklet
267   //    
268
269         if(!fRecoParam){
270                 AliError("Seed can not be used without a valid RecoParam.");
271                 return kFALSE;
272         }
273
274         const Int_t knTimeBins = 35;
275         const Int_t kClusterCandidates = 2 * knTimeBins;
276         
277         //define roads
278         Double_t kroady = fRecoParam->GetRoad1y();
279         Double_t kroadz = fPadLength * 1.5 + 1.;
280         // correction to y for the tilting angle
281         Float_t zcorr = kZcorr ? fTilt * (fZProb - fZref[0]) : 0.;
282
283         // working variables
284         AliTRDcluster *clusters[kClusterCandidates];
285         Double_t cond[4], yexp[knTimeBins], zexp[knTimeBins],
286                 yres[kClusterCandidates], zres[kClusterCandidates];
287         Int_t ncl, *index = 0x0, tboundary[knTimeBins];
288         
289         // Do cluster projection
290         Int_t nYclusters = 0; Bool_t kEXIT = kFALSE;
291         for (Int_t iTime = 0; iTime < fTimeBins; iTime++) {
292                 fX[iTime] = layer[iTime].GetX() - fX0;
293                 zexp[iTime] = fZref[0] + fZref[1] * fX[iTime];
294                 yexp[iTime] = fYref[0] + fYref[1] * fX[iTime] - zcorr;
295                 
296                 // build condition and process clusters
297                 cond[0] = yexp[iTime] - kroady; cond[1] = yexp[iTime] + kroady;
298                 cond[2] = zexp[iTime] - kroadz; cond[3] = zexp[iTime] + kroadz;
299                 layer[iTime].GetClusters(cond, index, ncl);
300                 for(Int_t ic = 0; ic<ncl; ic++){
301                         c = layer[iTime].GetCluster(index[ic]);
302                         clusters[nYclusters] = c;
303                         yres[nYclusters++] = c->GetY() - yexp[iTime];
304                         if(nYclusters >= kClusterCandidates) {
305                                 AliWarning(Form("Cluster candidates reached limit %d. Some may be lost.", kClusterCandidates));
306                                 kEXIT = kTRUE;
307                                 break;
308                         }
309                 }
310                 tboundary[iTime] = nYclusters;
311                 if(kEXIT) break;
312         }
313         
314         // Evaluate truncated mean on the y direction
315         Double_t mean, sigma;
316         AliMathBase::EvaluateUni(nYclusters, yres, mean, sigma, Int_t(nYclusters*.8)-2);
317         //purge cluster candidates
318         Int_t nZclusters = 0;
319         for(Int_t ic = 0; ic<nYclusters; ic++){
320                 if(yres[ic] - mean > 4. * sigma){
321                         clusters[ic] = 0x0;
322                         continue;
323                 }
324                 zres[nZclusters++] = clusters[ic]->GetZ() - zexp[clusters[ic]->GetLocalTimeBin()];
325         }
326         
327         // Evaluate truncated mean on the z direction
328         AliMathBase::EvaluateUni(nZclusters, zres, mean, sigma, Int_t(nZclusters*.8)-2);
329         //purge cluster candidates
330         for(Int_t ic = 0; ic<nZclusters; ic++){
331                 if(zres[ic] - mean > 4. * sigma){
332                         clusters[ic] = 0x0;
333                         continue;
334                 }
335         }
336
337         
338         // Select only one cluster/TimeBin
339         Int_t lastCluster = 0;
340         fN2 = 0;
341         for (Int_t iTime = 0; iTime < fTimeBins; iTime++) {
342                 ncl = tboundary[iTime] - lastCluster;
343                 if(!ncl) continue;
344                 if(ncl == 1){
345                         c = clusters[lastCluster];
346                 } else if(ncl > 1){
347                         Float_t dold = 9999.; Int_t iptr = lastCluster;
348                         for(int ic=lastCluster; ic<tboundary[iTime]; ic++){
349                                 if(!clusters[ic]) continue;
350                                 Float_t y = yexp[iTime] - clusters[ic]->GetY();
351                                 Float_t z = zexp[iTime] - clusters[ic]->GetZ();
352                                 Float_t d = y * y + z * z;
353                                 if(d > dold) continue;
354                                 dold = d;
355                                 iptr = ic;
356                         }
357                         c = clusters[iptr];
358                 }
359                 //Int_t GlobalIndex = layer[iTime].GetGlobalIndex(index);
360                 //fIndexes[iTime]  = GlobalIndex;
361                 fClusters[iTime] = c;
362                 fY[iTime]        = c->GetY();
363                 fZ[iTime]        = c->GetZ();
364                 lastCluster = tboundary[iTime];
365                 fN2++;
366         }
367         
368         // number of minimum numbers of clusters expected for the tracklet
369         Int_t kClmin = Int_t(fRecoParam->GetFindableClusters()*fTimeBins);
370   if (fN2 < kClmin){
371                 AliWarning(Form("Not enough clusters to fit the tracklet %d [%d].", fN2, kClmin));
372     fN2 = 0;
373     return kFALSE;
374   }
375         AliTRDseed::Update();
376         
377 //      // fit tracklet and update clusters
378 //      if(!FitTracklet()) return kFALSE;
379 //      UpdateUsed();
380         return kTRUE;
381 }
382
383 //____________________________________________________________________
384 Bool_t AliTRDseedV1::FitTracklet()
385 {
386   //
387   // Linear fit of the tracklet
388   //
389   // Parameters :
390   //
391   // Output :
392   //  True if successful
393   //
394   // Detailed description
395   // 2. Check if tracklet crosses pad row boundary
396   // 1. Calculate residuals in the y (r-phi) direction
397   // 3. Do a Least Square Fit to the data
398   //
399
400         //Float_t  sigmaexp  = 0.05 + TMath::Abs(fYref[1] * 0.25); // Expected r.m.s in y direction
401   Float_t  ycrosscor = fPadLength * fTilt * 0.5; // Y correction for crossing
402   Float_t  anglecor = fTilt * fZref[1];  // Correction to the angle
403
404         // calculate residuals
405         const Int_t knTimeBins = 35;
406         Float_t yres[knTimeBins]; // y (r-phi) residuals
407         Int_t zint[knTimeBins],   // Histograming of the z coordinate 
408               zout[2*knTimeBins];//
409         
410         fN = 0;
411         for (Int_t iTime = 0; iTime < fTimeBins; iTime++) {
412     if (!fClusters[iTime]) continue;
413     yres[iTime] = fY[iTime] - fYref[0] - (fYref[1] + anglecor) * fX[iTime];
414                 zint[fN++] = Int_t(fZ[iTime]);
415         }
416
417         // calculate pad row boundary crosses
418         Int_t kClmin = Int_t(fRecoParam->GetFindableClusters()*fTimeBins);
419         Int_t nz = AliMathBase::Freq(fN, zint, zout, kFALSE);
420   fZProb   = zout[0];
421   if(nz <= 1) zout[3] = 0;
422   if(zout[1] + zout[3] < kClmin) {
423                 AliWarning(Form("Not enough clusters to fit the cross boundary tracklet %d [%d].", zout[1]+zout[3], kClmin));
424                 return kFALSE;
425         }
426   // Z distance bigger than pad - length
427   if (TMath::Abs(zout[0]-zout[2]) > fPadLength) zout[3]=0;
428  
429
430   Double_t sumw   = 0., 
431                 sumwx  = 0.,
432                 sumwx2 = 0.,
433                 sumwy  = 0.,
434                 sumwxy = 0.,
435                 sumwz  = 0.,
436                 sumwxz = 0.;
437         Int_t npads;
438   fMPads = 0;
439         fMeanz = 0.;
440         for(int iTime=0; iTime<fTimeBins; iTime++){
441     fUsable[iTime] = kFALSE;
442     if (!fClusters[iTime]) continue;
443                 npads = fClusters[iTime]->GetNPads();
444
445                 fUsable[iTime] = kTRUE;
446     fN2++;
447     fMPads += npads;
448     Float_t weight = 1.0;
449     if(npads > 5) weight = 0.2;
450     else if(npads > 4) weight = 0.5;
451     sumw   += weight; 
452     sumwx  += fX[iTime] * weight;
453     sumwx2 += fX[iTime] * fX[iTime] * weight;
454     sumwy  += weight * yres[iTime];
455     sumwxy += weight * yres[iTime] * fX[iTime];
456     sumwz  += weight * fZ[iTime];    
457     sumwxz += weight * fZ[iTime] * fX[iTime];
458         }
459   if (fN2 < kClmin){
460                 AliWarning(Form("Not enough clusters to fit the tracklet %d [%d].", fN2, kClmin));
461     fN2 = 0;
462     return kFALSE;
463   }
464   fMeanz = sumwz / sumw;
465         fNChange = 0;
466
467         // Tracklet on boundary
468   Float_t correction = 0;
469   if (fNChange > 0) {
470     if (fMeanz < fZProb) correction =  ycrosscor;
471     if (fMeanz > fZProb) correction = -ycrosscor;
472   }
473
474   Double_t det = sumw * sumwx2 - sumwx * sumwx;
475   fYfitR[0]    = (sumwx2 * sumwy  - sumwx * sumwxy) / det;
476   fYfitR[1]    = (sumw   * sumwxy - sumwx * sumwy)  / det;
477   
478   fSigmaY2 = 0;
479   for (Int_t i = 0; i < fTimeBins+1; i++) {
480     if (!fUsable[i]) continue;
481     Float_t delta = yres[i] - fYfitR[0] - fYfitR[1] * fX[i];
482     fSigmaY2 += delta*delta;
483   }
484   fSigmaY2 = TMath::Sqrt(fSigmaY2 / Float_t(fN2-2));
485   
486   fZfitR[0]  = (sumwx2 * sumwz  - sumwx * sumwxz) / det;
487   fZfitR[1]  = (sumw   * sumwxz - sumwx * sumwz)  / det;
488   fZfit[0]   = (sumwx2 * sumwz  - sumwx * sumwxz) / det;
489   fZfit[1]   = (sumw   * sumwxz - sumwx * sumwz)  / det;
490   fYfitR[0] += fYref[0] + correction;
491   fYfitR[1] += fYref[1];
492   fYfit[0]   = fYfitR[0];
493   fYfit[1]   = fYfitR[1];
494
495         return kTRUE;
496 }
497
498 //_____________________________________________________________________________
499 Float_t AliTRDseedV1::FitRiemanTilt(AliTRDseedV1 *cseed, Bool_t terror)
500 {
501   //
502   // Fit the Rieman tilt
503   //
504
505   // Fitting with tilting pads - kz not fixed
506         AliTRDcalibDB *cal = AliTRDcalibDB::Instance();
507         Int_t nTimeBins = cal->GetNumberOfTimeBins();
508   TLinearFitter fitterT2(4,"hyp4");  
509   fitterT2.StoreData(kTRUE);
510   Float_t xref2 = (cseed[2].fX0 + cseed[3].fX0) * 0.5; // Reference x0 for z
511   
512   Int_t npointsT = 0;
513   fitterT2.ClearPoints();
514
515   for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
516 //              printf("\nLayer %d\n", iLayer);
517 //     cseed[iLayer].Print();
518                 if (!cseed[iLayer].IsOK()) continue;
519     Double_t tilt = cseed[iLayer].fTilt;
520
521     for (Int_t itime = 0; itime < nTimeBins+1; itime++) {
522 //                      printf("\ttime %d\n", itime);
523       if (!cseed[iLayer].fUsable[itime]) continue;
524       // x relative to the midle chamber
525       Double_t x = cseed[iLayer].fX[itime] + cseed[iLayer].fX0 - xref2;  
526       Double_t y = cseed[iLayer].fY[itime];
527       Double_t z = cseed[iLayer].fZ[itime];
528
529       //
530       // Tilted rieman
531       //
532       Double_t uvt[6];
533       Double_t x2 = cseed[iLayer].fX[itime] + cseed[iLayer].fX0;      // Global x
534       Double_t t  = 1.0 / (x2*x2 + y*y);
535       uvt[1]  = t;
536       uvt[0]  = 2.0 * x2   * uvt[1];
537       uvt[2]  = 2.0 * tilt * uvt[1];
538       uvt[3]  = 2.0 * tilt *uvt[1] * x;       
539       uvt[4]  = 2.0 * (y + tilt * z) * uvt[1];
540       
541       Double_t error = 2.0 * uvt[1];
542       if (terror) {
543         error *= cseed[iLayer].fSigmaY;
544       }
545       else {
546         error *= 0.2; //Default error
547       }
548 //                      printf("\tadd point :\n");
549 //                      for(int i=0; i<5; i++) printf("%f ", uvt[i]);
550 //                      printf("\n");
551       fitterT2.AddPoint(uvt,uvt[4],error);
552       npointsT++;
553
554     }
555
556   }
557   fitterT2.Eval();
558   Double_t rpolz0 = fitterT2.GetParameter(3);
559   Double_t rpolz1 = fitterT2.GetParameter(4);       
560
561   //
562   // Linear fitter  - not possible to make boundaries
563   // non accept non possible z and dzdx combination
564   //        
565   Bool_t acceptablez = kTRUE;
566   for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
567     if (cseed[iLayer].IsOK()) {
568       Double_t zT2 = rpolz0 + rpolz1 * (cseed[iLayer].fX0 - xref2);
569       if (TMath::Abs(cseed[iLayer].fZProb - zT2) > cseed[iLayer].fPadLength * 0.5 + 1.0) {
570         acceptablez = kFALSE;
571       }
572     }
573   }
574   if (!acceptablez) {
575     Double_t zmf  = cseed[2].fZref[0] + cseed[2].fZref[1] * (xref2 - cseed[2].fX0);
576     Double_t dzmf = (cseed[2].fZref[1] + cseed[3].fZref[1]) * 0.5;
577     fitterT2.FixParameter(3,zmf);
578     fitterT2.FixParameter(4,dzmf);
579     fitterT2.Eval();
580     fitterT2.ReleaseParameter(3);
581     fitterT2.ReleaseParameter(4);
582     rpolz0 = fitterT2.GetParameter(3);
583     rpolz1 = fitterT2.GetParameter(4);
584   }
585   
586   Double_t chi2TR = fitterT2.GetChisquare() / Float_t(npointsT);  
587   Double_t params[3];
588   params[0] =  fitterT2.GetParameter(0);
589   params[1] =  fitterT2.GetParameter(1);
590   params[2] =  fitterT2.GetParameter(2);            
591   Double_t curvature =  1.0 + params[1] * params[1] - params[2] * params[0];
592
593   for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
594
595     Double_t  x  = cseed[iLayer].fX0;
596     Double_t  y  = 0;
597     Double_t  dy = 0;
598     Double_t  z  = 0;
599     Double_t  dz = 0;
600
601     // y
602     Double_t res2 = (x * params[0] + params[1]);
603     res2 *= res2;
604     res2  = 1.0 - params[2]*params[0] + params[1]*params[1] - res2;
605     if (res2 >= 0) {
606       res2 = TMath::Sqrt(res2);
607       y    = (1.0 - res2) / params[0];
608     }
609
610     //dy
611     Double_t x0 = -params[1] / params[0];
612     if (-params[2]*params[0] + params[1]*params[1] + 1 > 0) {
613       Double_t rm1 = params[0] / TMath::Sqrt(-params[2]*params[0] + params[1]*params[1] + 1); 
614       if (1.0/(rm1*rm1) - (x-x0) * (x-x0) > 0.0) {
615         Double_t res = (x - x0) / TMath::Sqrt(1.0 / (rm1*rm1) - (x-x0)*(x-x0));
616         if (params[0] < 0) res *= -1.0;
617         dy = res;
618       }
619     }
620     z  = rpolz0 + rpolz1 * (x - xref2);
621     dz = rpolz1;
622     cseed[iLayer].fYref[0] = y;
623     cseed[iLayer].fYref[1] = dy;
624     cseed[iLayer].fZref[0] = z;
625     cseed[iLayer].fZref[1] = dz;
626     cseed[iLayer].fC       = curvature;
627     
628   }
629
630   return chi2TR;
631
632 }
633
634 //___________________________________________________________________
635 void AliTRDseedV1::Print()
636 {
637   //
638   // Printing the seedstatus
639   //
640
641         AliTRDcalibDB *cal = AliTRDcalibDB::Instance();
642         Int_t nTimeBins = cal->GetNumberOfTimeBins();
643         
644         printf("Seed status :\n");
645         printf("  fTilt      = %f\n", fTilt);
646         printf("  fPadLength = %f\n", fPadLength);
647         printf("  fX0        = %f\n", fX0);
648         for(int ic=0; ic<nTimeBins; ic++) {
649           const Char_t *isUsable = fUsable[ic]?"Yes":"No";
650           printf("  %d X[%f] Y[%f] Z[%f] Indexes[%d] clusters[%#x] usable[%s]\n"
651                 , ic
652                 , fX[ic]
653                 , fY[ic]
654                 , fZ[ic]
655                 , fIndexes[ic]
656                 , ((Int_t) fClusters[ic])
657                 , isUsable);
658         }
659
660         printf("  fYref[0] =%f fYref[1] =%f\n", fYref[0], fYref[1]);
661         printf("  fZref[0] =%f fZref[1] =%f\n", fZref[0], fZref[1]);
662         printf("  fYfit[0] =%f fYfit[1] =%f\n", fYfit[0], fYfit[1]);
663         printf("  fYfitR[0]=%f fYfitR[1]=%f\n", fYfitR[0], fYfitR[1]);
664         printf("  fZfit[0] =%f fZfit[1] =%f\n", fZfit[0], fZfit[1]);
665         printf("  fZfitR[0]=%f fZfitR[1]=%f\n", fZfitR[0], fZfitR[1]);
666         printf("  fSigmaY =%f\n", fSigmaY);
667         printf("  fSigmaY2=%f\n", fSigmaY2);            
668         printf("  fMeanz  =%f\n", fMeanz);
669         printf("  fZProb  =%f\n", fZProb);
670         printf("  fLabels[0]=%d fLabels[1]=%d\n", fLabels[0], fLabels[1]);
671         printf("  fN      =%d\n", fN);
672         printf("  fN2     =%d (>8 isOK)\n",fN2);
673         printf("  fNUsed  =%d\n", fNUsed);
674         printf("  fFreq   =%d\n", fFreq);
675         printf("  fNChange=%d\n",  fNChange);
676         printf("  fMPads  =%f\n", fMPads);
677         
678         printf("  fC      =%f\n", fC);        
679         printf("  fCC     =%f\n",fCC);      
680         printf("  fChi2   =%f\n", fChi2);  
681         printf("  fChi2Z  =%f\n", fChi2Z);
682
683 }