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 ///////////////////////////////////////////////////////////////////////////////
22 ///////////////////////////////////////////////////////////////////////////////
28 #include "AliTRDcluster.h"
29 #include "AliTRDgeometry.h"
30 #include "AliTRDCommonParam.h"
31 #include "AliTRDtrackletWord.h"
33 ClassImp(AliTRDcluster)
35 const Int_t AliTRDcluster::fgkNlut = 128;
36 Double_t *AliTRDcluster::fgLUT = 0x0;
38 //___________________________________________________________________________
39 AliTRDcluster::AliTRDcluster()
52 // Default constructor
55 for (Int_t i = 0; i < 7; i++) {
61 //___________________________________________________________________________
62 AliTRDcluster::AliTRDcluster(Int_t det, UChar_t col, UChar_t row, UChar_t time
63 , const Short_t *sig, UShort_t vid)
76 // Constructor for self constructing cluster. In this approach the information is inserted gradualy into the
77 // cluster and all dependencies are (re)calculated inside the cluster itself.
79 // A.Bercuci <A.Bercuci@gsi.de>
81 memcpy(&fSignals, sig, 7*sizeof(Short_t));
82 fQ = fSignals[2]+fSignals[3]+fSignals[4];
87 //___________________________________________________________________________
88 AliTRDcluster::AliTRDcluster(Int_t det, Float_t q
89 , Float_t *pos, Float_t *sig
90 , Int_t *tracks, Char_t npads, Short_t * const signals
91 , UChar_t col, UChar_t row, UChar_t time
92 , Char_t timebin, Float_t center, UShort_t volid)
93 :AliCluster(volid,pos[0],pos[1],pos[2],sig[0],sig[1],0.0,0x0)
97 ,fLocalTimeBin(timebin)
108 for (Int_t i = 0; i < 7; i++) {
109 fSignals[i] = signals[i];
113 AddTrackIndex(tracks);
118 //_____________________________________________________________________________
119 AliTRDcluster::AliTRDcluster(const AliTRDtrackletWord *const tracklet, Int_t det, UShort_t volid)
120 :AliCluster(volid,tracklet->GetX(),tracklet->GetY(),tracklet->GetZ(),0,0,0)
132 // Constructor from online tracklet
136 //_____________________________________________________________________________
137 AliTRDcluster::AliTRDcluster(const AliTRDcluster &c)
141 ,fPadTime(c.fPadTime)
142 ,fLocalTimeBin(c.fLocalTimeBin)
144 ,fClusterMasking(c.fClusterMasking)
145 ,fDetector(c.fDetector)
153 SetLabel(c.GetLabel(0),0);
154 SetLabel(c.GetLabel(1),1);
155 SetLabel(c.GetLabel(2),2);
159 AliCluster::SetSigmaY2(c.GetSigmaY2());
160 SetSigmaZ2(c.GetSigmaZ2());
162 for (Int_t i = 0; i < 7; i++) {
163 fSignals[i] = c.fSignals[i];
168 //_____________________________________________________________________________
169 AliTRDcluster &AliTRDcluster::operator=(const AliTRDcluster &c)
172 // Assignment operator
179 // Call the assignment operator of the base class
180 AliCluster::operator=(c);
184 fPadTime = c.fPadTime;
185 fLocalTimeBin = c.fLocalTimeBin;
187 fClusterMasking = c.fClusterMasking;
188 fDetector = c.fDetector;
192 SetLabel(c.GetLabel(0),0);
193 SetLabel(c.GetLabel(1),1);
194 SetLabel(c.GetLabel(2),2);
198 SetSigmaZ2(c.GetSigmaZ2());
200 for (Int_t i = 0; i < 7; i++) {
201 fSignals[i] = c.fSignals[i];
208 //_____________________________________________________________________________
209 void AliTRDcluster::AddTrackIndex(const Int_t * const track)
212 // Adds track index. Currently assumed that track is an array of
213 // size 9, and up to 3 track indexes are stored in fTracks[3].
214 // Indexes are sorted according to:
215 // 1) index of max number of appearances is stored first
216 // 2) if two or more indexes appear equal number of times, the lowest
217 // ones are stored first;
220 const Int_t kSize = 9;
221 Int_t entries[kSize][2];
229 for (i = 0; i < kSize; i++) {
234 for (k = 0; k < kSize; k++) {
241 while ((!indexAdded) && (j < kSize)) {
242 if ((entries[j][0] == index) ||
243 (entries[j][1] == 0)) {
244 entries[j][0] = index;
245 entries[j][1] = entries[j][1] + 1;
254 // Sort by number of appearances and index value
260 for (i = 0; i < (kSize - 1); i++) {
261 if ((entries[i][0] >= 0) &&
262 (entries[i+1][0] >= 0)) {
263 if ((entries[i][1] < entries[i+1][1]) ||
264 ((entries[i][1] == entries[i+1][1]) &&
265 (entries[i][0] > entries[i+1][0]))) {
266 tmp0 = entries[i][0];
267 tmp1 = entries[i][1];
268 entries[i][0] = entries[i+1][0];
269 entries[i][1] = entries[i+1][1];
270 entries[i+1][0] = tmp0;
271 entries[i+1][1] = tmp1;
279 for (i = 0; i < 3; i++) {
280 SetLabel(entries[i][0],i);
287 //_____________________________________________________________________________
288 void AliTRDcluster::Clear(Option_t *)
291 // Reset all member to the default value
300 for (Int_t i=0; i < 7; i++) fSignals[i]=0;
303 for (Int_t i = 0; i < 3; i++) SetLabel(0,i);
307 AliCluster::SetSigmaY2(0.);
312 //_____________________________________________________________________________
313 Float_t AliTRDcluster::GetSumS() const
316 // Returns the total charge from a not unfolded cluster
320 for (Int_t i = 0; i < 7; i++) {
328 //___________________________________________________________________________
329 Double_t AliTRDcluster::GetSX(Int_t tb, Double_t z)
332 // Returns the error parameterization in the radial direction for TRD clusters as function of
333 // the calibrated time bin (tb) and optionally distance to anode wire (z). By default (no z information)
334 // the mean value over all cluster to wire distance is chosen.
336 // There are several contributions which are entering in the definition of the radial errors of the clusters.
337 // Although an analytic defition should be possible for the moment this is not yet available but instead a
338 // numerical parameterization is provided (see AliTRDclusterResolution::ProcessSigma() for the calibration
339 // method). The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis.
342 //<img src="TRD/clusterXerrorDiff2D.gif">
345 // Here is a list of uncertainty components:
346 // - Time Response Function (TRF) - the major contribution. since TRF is also not symmetric (even if tail is
347 // cancelled) it also creates a systematic shift dependent on the charge distribution before and after the cluster.
348 // - longitudinal diffusion - increase the width of TRF and scales with square root of drift length
349 // - variation in the drift velocity within the drift cell
352 // A.Bercuci <A.Bercuci@gsi.de>
355 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
356 static const Double_t sx[24][10]={
357 {0.000e+00, 9.352e-01, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.309e+00},
358 {8.387e-02, 8.718e-02, 8.816e-02, 9.444e-02, 9.993e-02, 1.083e-01, 1.161e-01, 1.280e-01, 1.417e-01, 1.406e-01},
359 {1.097e-01, 1.105e-01, 1.127e-01, 1.151e-01, 1.186e-01, 1.223e-01, 1.272e-01, 1.323e-01, 1.389e-01, 1.490e-01},
360 {1.407e-01, 1.404e-01, 1.414e-01, 1.430e-01, 1.429e-01, 1.449e-01, 1.476e-01, 1.494e-01, 1.515e-01, 1.589e-01},
361 {1.681e-01, 1.679e-01, 1.666e-01, 1.657e-01, 1.656e-01, 1.649e-01, 1.652e-01, 1.662e-01, 1.671e-01, 1.694e-01},
362 {1.745e-01, 1.737e-01, 1.707e-01, 1.690e-01, 1.643e-01, 1.610e-01, 1.612e-01, 1.628e-01, 1.638e-01, 1.659e-01},
363 {1.583e-01, 1.558e-01, 1.535e-01, 1.488e-01, 1.445e-01, 1.419e-01, 1.428e-01, 1.451e-01, 1.462e-01, 1.494e-01},
364 {1.414e-01, 1.391e-01, 1.368e-01, 1.300e-01, 1.256e-01, 1.259e-01, 1.285e-01, 1.326e-01, 1.358e-01, 1.406e-01},
365 {1.307e-01, 1.289e-01, 1.261e-01, 1.216e-01, 1.193e-01, 1.165e-01, 1.201e-01, 1.241e-01, 1.274e-01, 1.344e-01},
366 {1.251e-01, 1.227e-01, 1.208e-01, 1.155e-01, 1.110e-01, 1.116e-01, 1.133e-01, 1.187e-01, 1.229e-01, 1.308e-01},
367 {1.234e-01, 1.209e-01, 1.175e-01, 1.127e-01, 1.094e-01, 1.093e-01, 1.109e-01, 1.155e-01, 1.210e-01, 1.275e-01},
368 {1.215e-01, 1.187e-01, 1.156e-01, 1.108e-01, 1.070e-01, 1.065e-01, 1.090e-01, 1.134e-01, 1.196e-01, 1.251e-01},
369 {1.202e-01, 1.180e-01, 1.151e-01, 1.108e-01, 1.070e-01, 1.058e-01, 1.089e-01, 1.127e-01, 1.183e-01, 1.256e-01},
370 {1.207e-01, 1.176e-01, 1.142e-01, 1.109e-01, 1.072e-01, 1.069e-01, 1.088e-01, 1.122e-01, 1.182e-01, 1.252e-01},
371 {1.213e-01, 1.182e-01, 1.156e-01, 1.102e-01, 1.076e-01, 1.063e-01, 1.091e-01, 1.132e-01, 1.181e-01, 1.243e-01},
372 {1.205e-01, 1.180e-01, 1.150e-01, 1.104e-01, 1.072e-01, 1.063e-01, 1.083e-01, 1.132e-01, 1.183e-01, 1.243e-01},
373 {1.212e-01, 1.195e-01, 1.135e-01, 1.107e-01, 1.070e-01, 1.065e-01, 1.097e-01, 1.126e-01, 1.185e-01, 1.238e-01},
374 {1.201e-01, 1.184e-01, 1.155e-01, 1.111e-01, 1.088e-01, 1.075e-01, 1.089e-01, 1.131e-01, 1.189e-01, 1.237e-01},
375 {1.197e-01, 1.186e-01, 1.147e-01, 1.113e-01, 1.085e-01, 1.077e-01, 1.105e-01, 1.137e-01, 1.188e-01, 1.245e-01},
376 {1.213e-01, 1.194e-01, 1.154e-01, 1.114e-01, 1.091e-01, 1.082e-01, 1.098e-01, 1.140e-01, 1.194e-01, 1.247e-01},
377 {1.210e-01, 1.189e-01, 1.155e-01, 1.119e-01, 1.088e-01, 1.080e-01, 1.105e-01, 1.141e-01, 1.195e-01, 1.244e-01},
378 {1.196e-01, 1.189e-01, 1.145e-01, 1.105e-01, 1.095e-01, 1.083e-01, 1.087e-01, 1.121e-01, 1.173e-01, 1.208e-01},
379 {1.123e-01, 1.129e-01, 1.108e-01, 1.110e-01, 1.080e-01, 1.065e-01, 1.056e-01, 1.066e-01, 1.071e-01, 1.095e-01},
380 {1.136e-01, 1.135e-01, 1.130e-01, 1.122e-01, 1.113e-01, 1.071e-01, 1.041e-01, 1.025e-01, 1.014e-01, 9.973e-02}
382 if(z>=0. && z<.25) return sx[tb][Int_t(z/.025)];
384 Double_t m = 0.; for(Int_t id=10; id--;) m+=sx[tb][id];
389 //___________________________________________________________________________
390 Double_t AliTRDcluster::GetSYdrift(Int_t tb, Int_t ly, Double_t/* z*/)
393 // Returns the error parameterization for TRD clusters as function of the drift length (here calibrated time bin tb)
394 // and optionally distance to anode wire (z) for the LUT r-phi cluster shape. By default (no z information) the largest
395 // value over all cluster to wire values is chosen.
397 // For the LUT method the dependence of s_y with x and d is obtained via a fit to the cluster to MC
398 // resolution. (see class AliTRDclusterResolution for more details). A normalization to the reference radial position
399 // x0 = 0.675 (tb=5 for ideal vd) is also applied (see GetSYprf()). The function is *NOT* calibration aware !
400 // The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis. A comparison
401 // with the GAUS parameterization is also given
403 // For the GAUS method the dependence of s_y with x is *analytic* and it is expressed by the relation.
405 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
407 // The result is displayed in the figure below as function of the drift time and compared with the LUT parameterization.
409 //<img src="TRD/clusterYerrorDiff2D.gif">
410 //<img src="TRD/clusterYerrorDiff1D.gif">
414 // A.Bercuci <A.Bercuci@gsi.de>
417 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
418 static const Float_t lSy[6][24] = {
419 {75.7561, 0.0325, 0.0175, 0.0174, 0.0206, 0.0232,
420 0.0253, 0.0262, 0.0265, 0.0264, 0.0266, 0.0257,
421 0.0258, 0.0261, 0.0259, 0.0253, 0.0257, 0.0261,
422 0.0255, 0.0250, 0.0259, 0.0266, 0.0278, 0.0319
424 {49.2252, 0.0371, 0.0204, 0.0189, 0.0230, 0.0261,
425 0.0281, 0.0290, 0.0292, 0.0286, 0.0277, 0.0279,
426 0.0285, 0.0281, 0.0291, 0.0281, 0.0281, 0.0282,
427 0.0272, 0.0282, 0.0282, 0.0284, 0.0310, 0.0334
429 {55.1674, 0.0388, 0.0212, 0.0200, 0.0239, 0.0271,
430 0.0288, 0.0299, 0.0306, 0.0300, 0.0296, 0.0303,
431 0.0293, 0.0290, 0.0291, 0.0294, 0.0295, 0.0290,
432 0.0293, 0.0292, 0.0292, 0.0293, 0.0316, 0.0358
434 {45.1004, 0.0411, 0.0225, 0.0215, 0.0249, 0.0281,
435 0.0301, 0.0315, 0.0320, 0.0308, 0.0318, 0.0321,
436 0.0312, 0.0311, 0.0316, 0.0315, 0.0310, 0.0308,
437 0.0313, 0.0303, 0.0314, 0.0314, 0.0324, 0.0369
439 {43.8614, 0.0420, 0.0239, 0.0224, 0.0268, 0.0296,
440 0.0322, 0.0336, 0.0333, 0.0326, 0.0321, 0.0325,
441 0.0329, 0.0326, 0.0323, 0.0322, 0.0326, 0.0320,
442 0.0329, 0.0319, 0.0314, 0.0329, 0.0341, 0.0373
444 {40.5440, 0.0434, 0.0246, 0.0236, 0.0275, 0.0311,
445 0.0332, 0.0345, 0.0347, 0.0347, 0.0340, 0.0336,
446 0.0339, 0.0344, 0.0339, 0.0341, 0.0341, 0.0342,
447 0.0345, 0.0328, 0.0341, 0.0332, 0.0356, 0.0398
451 return TMath::Max(lSy[ly][tb]-0.0150, 0.0010);
453 /* const Double_t sy[24][10]={
454 {0.000e+00, 2.610e-01, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 4.680e-01},
455 {3.019e-02, 3.036e-02, 3.131e-02, 3.203e-02, 3.294e-02, 3.407e-02, 3.555e-02, 3.682e-02, 3.766e-02, 3.824e-02},
456 {1.773e-02, 1.778e-02, 1.772e-02, 1.790e-02, 1.807e-02, 1.833e-02, 1.873e-02, 1.905e-02, 1.958e-02, 2.029e-02},
457 {1.774e-02, 1.772e-02, 1.746e-02, 1.738e-02, 1.756e-02, 1.756e-02, 1.739e-02, 1.720e-02, 1.743e-02, 1.769e-02},
458 {2.064e-02, 2.078e-02, 2.069e-02, 2.060e-02, 2.033e-02, 2.024e-02, 2.022e-02, 1.961e-02, 1.922e-02, 1.901e-02},
459 {2.382e-02, 2.379e-02, 2.371e-02, 2.333e-02, 2.318e-02, 2.285e-02, 2.255e-02, 2.244e-02, 2.174e-02, 2.132e-02},
460 {2.615e-02, 2.589e-02, 2.539e-02, 2.493e-02, 2.420e-02, 2.396e-02, 2.362e-02, 2.342e-02, 2.321e-02, 2.330e-02},
461 {2.640e-02, 2.638e-02, 2.577e-02, 2.548e-02, 2.477e-02, 2.436e-02, 2.416e-02, 2.401e-02, 2.399e-02, 2.402e-02},
462 {2.647e-02, 2.632e-02, 2.587e-02, 2.546e-02, 2.465e-02, 2.447e-02, 2.429e-02, 2.415e-02, 2.429e-02, 2.475e-02},
463 {2.657e-02, 2.637e-02, 2.580e-02, 2.525e-02, 2.492e-02, 2.441e-02, 2.446e-02, 2.441e-02, 2.478e-02, 2.491e-02},
464 {2.640e-02, 2.608e-02, 2.583e-02, 2.539e-02, 2.478e-02, 2.440e-02, 2.456e-02, 2.464e-02, 2.486e-02, 2.533e-02},
465 {2.636e-02, 2.630e-02, 2.584e-02, 2.542e-02, 2.483e-02, 2.451e-02, 2.449e-02, 2.467e-02, 2.496e-02, 2.554e-02},
466 {2.634e-02, 2.629e-02, 2.583e-02, 2.526e-02, 2.480e-02, 2.460e-02, 2.458e-02, 2.472e-02, 2.518e-02, 2.549e-02},
467 {2.629e-02, 2.621e-02, 2.581e-02, 2.527e-02, 2.480e-02, 2.458e-02, 2.451e-02, 2.485e-02, 2.516e-02, 2.547e-02},
468 {2.629e-02, 2.607e-02, 2.573e-02, 2.543e-02, 2.485e-02, 2.464e-02, 2.452e-02, 2.476e-02, 2.505e-02, 2.550e-02},
469 {2.635e-02, 2.613e-02, 2.578e-02, 2.523e-02, 2.491e-02, 2.465e-02, 2.470e-02, 2.467e-02, 2.515e-02, 2.564e-02},
470 {2.613e-02, 2.602e-02, 2.587e-02, 2.526e-02, 2.507e-02, 2.482e-02, 2.456e-02, 2.486e-02, 2.509e-02, 2.572e-02},
471 {2.620e-02, 2.599e-02, 2.563e-02, 2.528e-02, 2.484e-02, 2.462e-02, 2.464e-02, 2.476e-02, 2.513e-02, 2.571e-02},
472 {2.634e-02, 2.596e-02, 2.565e-02, 2.519e-02, 2.497e-02, 2.457e-02, 2.450e-02, 2.481e-02, 2.511e-02, 2.540e-02},
473 {2.593e-02, 2.589e-02, 2.563e-02, 2.511e-02, 2.472e-02, 2.453e-02, 2.452e-02, 2.474e-02, 2.501e-02, 2.543e-02},
474 {2.576e-02, 2.582e-02, 2.526e-02, 2.505e-02, 2.462e-02, 2.446e-02, 2.445e-02, 2.466e-02, 2.486e-02, 2.510e-02},
475 {2.571e-02, 2.549e-02, 2.533e-02, 2.501e-02, 2.453e-02, 2.443e-02, 2.445e-02, 2.450e-02, 2.448e-02, 2.469e-02},
476 {2.812e-02, 2.786e-02, 2.776e-02, 2.723e-02, 2.695e-02, 2.650e-02, 2.642e-02, 2.617e-02, 2.612e-02, 2.610e-02},
477 {3.251e-02, 3.267e-02, 3.223e-02, 3.183e-02, 3.125e-02, 3.106e-02, 3.067e-02, 3.010e-02, 2.936e-02, 2.927e-02}
479 if(z>=0. && z<.25) return sy[tb][Int_t(z/.025)] - sy[5][Int_t(z/.025)];
481 Double_t m = -1.e8; for(Int_t id=10; id--;) if((sy[tb][id] - sy[5][id])>m) m=sy[tb][id]-sy[5][id];
486 //___________________________________________________________________________
487 Double_t AliTRDcluster::GetSYcharge(Float_t q)
490 // Parameterization of the r-phi resolution component due to cluster charge.
491 // The value is the offset from the nominal cluster resolution defined as the
492 // cluster resolution at average cluster charge (q0).
495 // #Delta #sigma_{y}(q) = a*(#frac{1}{q} - #frac{1}{q_{0}})
498 // The definition is *NOT* robust against gain fluctuations and thus two approaches are possible
499 // when residual miscalibration are available:
500 // - determine parameterization with a resolution matching those of the gain
501 // - define an analytic model which scales with the gain.
503 // For more details please see AliTRDclusterResolution::ProcessCharge()
506 //<img src="TRD/clusterQerror.gif">
510 // A.Bercuci <A.Bercuci@gsi.de>
513 const Float_t sq0inv = 0.019962; // [1/q0]
514 const Float_t sqb = 0.037328; // [cm]
516 return sqb*(1./q - sq0inv);
519 //___________________________________________________________________________
520 Double_t AliTRDcluster::GetSYprf(Int_t ly, Double_t center, Double_t s2)
523 // Parameterization of the cluster error in the r-phi direction due to charge sharing between
524 // adiacent pads. Should be identical to what is provided in the OCDB as PRF [TODO]
526 // The parameterization is obtained from fitting cluster resolution at phi=exb and |x-0.675|<0.225.
527 // For more details see AliTRDclusterResolution::ProcessCenter().
530 //<img src="TRD/clusterPRFerror.gif">
534 // A.Bercuci <A.Bercuci@gsi.de>
537 /* const Float_t scy[AliTRDgeometry::kNlayer][4] = {
538 {2.827e-02, 9.600e-04, 4.296e-01, 2.271e-02},
539 {2.952e-02,-2.198e-04, 4.146e-01, 2.339e-02},
540 {3.090e-02, 1.514e-03, 4.020e-01, 2.402e-02},
541 {3.260e-02,-2.037e-03, 3.946e-01, 2.509e-02},
542 {3.439e-02,-3.601e-04, 3.883e-01, 2.623e-02},
543 {3.510e-02, 2.066e-03, 3.651e-01, 2.588e-02},
545 const Float_t lPRF[] = {0.438, 0.403, 0.393, 0.382, 0.376, 0.345};
547 return s2*TMath::Gaus(center, 0., lPRF[ly]);
551 //___________________________________________________________________________
552 Double_t AliTRDcluster::GetXcorr(Int_t tb, Double_t z)
555 // Drift length correction [cm]. Due to variation of mean drift velocity along the drift region
556 // from nominal vd at xd->infinity. For drift velocity determination based on tracking information
557 // the correction should be negligible.
559 //<img src="TRD/clusterXcorr.gif">
561 // TODO to be parametrized in term of drift velocity at infinite drift length
562 // A.Bercuci (Mar 28 2009)
565 if(tb<0 || tb>=24) return 0.;
567 static const Double_t dx[24][nd]={
568 {+1.747e-01,+3.195e-01,+1.641e-01,+1.607e-01,+6.002e-01},
569 {+5.468e-02,+5.760e-02,+6.365e-02,+8.003e-02,+1.067e-01},
570 {-6.327e-02,-6.339e-02,-6.423e-02,-6.900e-02,-7.949e-02},
571 {-1.417e-01,-1.424e-01,-1.450e-01,-1.465e-01,-1.514e-01},
572 {-1.637e-01,-1.619e-01,-1.622e-01,-1.613e-01,-1.648e-01},
573 {-1.386e-01,-1.334e-01,-1.261e-01,-1.276e-01,-1.314e-01},
574 {-8.799e-02,-8.299e-02,-7.861e-02,-8.038e-02,-8.436e-02},
575 {-5.139e-02,-4.849e-02,-4.641e-02,-4.965e-02,-5.286e-02},
576 {-2.927e-02,-2.773e-02,-2.807e-02,-3.021e-02,-3.378e-02},
577 {-1.380e-02,-1.229e-02,-1.335e-02,-1.547e-02,-1.984e-02},
578 {-4.168e-03,-4.601e-03,-5.462e-03,-8.164e-03,-1.035e-02},
579 {+2.044e-03,+1.889e-03,+9.603e-04,-1.342e-03,-3.736e-03},
580 {+3.568e-03,+3.581e-03,+2.391e-03,+2.942e-05,-1.585e-03},
581 {+4.403e-03,+4.571e-03,+3.509e-03,+8.703e-04,-1.425e-03},
582 {+4.941e-03,+4.808e-03,+3.284e-03,+1.105e-03,-1.208e-03},
583 {+5.124e-03,+5.022e-03,+4.305e-03,+2.023e-03,-1.145e-03},
584 {+4.882e-03,+4.008e-03,+3.408e-03,+7.886e-04,-1.356e-03},
585 {+3.852e-03,+3.539e-03,+2.057e-03,+1.670e-04,-1.993e-03},
586 {+2.154e-03,+2.111e-03,+5.723e-04,-1.254e-03,-3.256e-03},
587 {+1.755e-03,+2.101e-03,+9.516e-04,-1.649e-03,-3.394e-03},
588 {+1.617e-03,+1.662e-03,+4.169e-04,-9.843e-04,-4.309e-03},
589 {-9.204e-03,-9.069e-03,-1.182e-02,-1.458e-02,-1.880e-02},
590 {-6.727e-02,-6.820e-02,-6.804e-02,-7.134e-02,-7.615e-02},
591 {-1.802e-01,-1.733e-01,-1.633e-01,-1.601e-01,-1.632e-01}
593 // const Double_t dx[24][nd]={
594 // {+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00},
595 // {-2.763e-04,-2.380e-04,-6.286e-04,-9.424e-04,+1.046e-03,+1.932e-03,+1.620e-03,+1.951e-03,-1.321e-03,-1.115e-03},
596 // {-1.825e-03,-9.245e-04,-1.012e-03,-8.215e-04,+2.703e-05,+1.403e-03,+2.340e-03,+2.577e-03,+2.017e-03,+8.006e-04},
597 // {-3.070e-03,-8.563e-04,-1.257e-03,+8.491e-05,+4.503e-04,-2.467e-05,-1.793e-04,+5.085e-04,+1.321e-03,+4.056e-04},
598 // {-3.637e-03,-2.857e-03,-3.098e-03,-2.304e-03,-1.467e-03,-1.755e-03,+4.585e-04,+2.757e-03,+3.184e-03,+3.525e-03},
599 // {-9.884e-03,-7.695e-03,-7.290e-03,-3.990e-03,-9.982e-04,+2.226e-03,+3.375e-03,+6.419e-03,+7.209e-03,+6.891e-03},
600 // {-6.844e-03,-5.807e-03,-4.012e-03,-1.566e-03,+5.035e-04,+2.024e-03,+3.225e-03,+3.918e-03,+5.942e-03,+6.024e-03},
601 // {-2.628e-03,-2.201e-03,-4.562e-04,+9.832e-04,+3.411e-03,+2.062e-03,+1.526e-03,+9.350e-04,+8.842e-04,+1.007e-03},
602 // {+6.603e-04,+1.545e-03,+1.681e-03,+1.918e-03,+2.165e-03,+1.825e-03,+1.691e-03,-1.923e-04,+1.835e-04,-1.284e-03},
603 // {+1.895e-03,+1.586e-03,+2.000e-03,+3.537e-03,+2.526e-03,+1.316e-03,+8.229e-04,-7.671e-05,-2.175e-03,-3.528e-03},
604 // {+2.927e-03,+3.369e-03,+3.603e-03,+2.675e-03,+2.737e-03,+1.133e-03,+4.318e-04,-1.215e-03,-2.443e-03,-3.116e-03},
605 // {+3.072e-03,+3.564e-03,+3.612e-03,+3.149e-03,+2.768e-03,+1.186e-03,+3.083e-04,-1.447e-03,-2.480e-03,-3.263e-03},
606 // {+2.697e-03,+3.565e-03,+3.759e-03,+2.855e-03,+2.909e-03,+6.564e-04,-5.224e-04,-3.309e-04,-1.636e-03,-3.739e-03},
607 // {+3.633e-03,+3.232e-03,+3.727e-03,+3.024e-03,+3.365e-03,+1.598e-03,-6.903e-04,-1.039e-03,-3.176e-03,-4.472e-03},
608 // {+2.999e-03,+3.942e-03,+3.322e-03,+3.162e-03,+1.978e-03,+1.657e-03,-4.760e-04,-8.343e-04,-2.346e-03,-3.281e-03},
609 // {+3.734e-03,+3.098e-03,+3.435e-03,+2.512e-03,+2.651e-03,+1.745e-03,+9.424e-04,-1.404e-03,-3.177e-03,-4.444e-03},
610 // {+3.204e-03,+4.003e-03,+3.068e-03,+2.697e-03,+3.187e-03,+3.878e-04,-1.124e-04,-1.855e-03,-2.584e-03,-3.807e-03},
611 // {+2.653e-03,+3.631e-03,+2.327e-03,+3.460e-03,+1.810e-03,+1.244e-03,-3.651e-04,-2.664e-04,-2.307e-03,-3.642e-03},
612 // {+2.538e-03,+3.208e-03,+2.390e-03,+3.519e-03,+1.763e-03,+1.330e-04,+1.669e-04,-1.422e-03,-1.685e-03,-3.519e-03},
613 // {+2.605e-03,+2.465e-03,+2.771e-03,+2.966e-03,+2.361e-03,+6.029e-04,-4.435e-04,-1.876e-03,-1.694e-03,-3.757e-03},
614 // {+2.866e-03,+3.315e-03,+3.146e-03,+2.117e-03,+1.933e-03,+9.339e-04,+9.556e-04,-1.314e-03,-3.615e-03,-3.558e-03},
615 // {+4.002e-03,+3.543e-03,+3.631e-03,+4.127e-03,+1.919e-03,-2.852e-04,-9.484e-04,-2.060e-03,-4.477e-03,-5.491e-03},
616 // {+6.029e-03,+5.147e-03,+4.286e-03,+2.215e-03,+9.240e-04,-1.554e-03,-2.366e-03,-3.635e-03,-5.372e-03,-6.467e-03},
617 // {+3.941e-03,+3.995e-03,+5.638e-04,-3.332e-04,-2.539e-03,-3.764e-03,-3.647e-03,-4.900e-03,-5.414e-03,-5.202e-03}
619 if(z>=0. && z<.25) return dx[tb][Int_t(z/.025)];
621 Double_t m = 0.; for(Int_t id=nd; id--;) m+=dx[tb][id];
625 //___________________________________________________________________________
626 Double_t AliTRDcluster::GetYcorr(Int_t ly, Float_t y)
629 // PRF correction for the LUT r-phi cluster shape.
631 //<img src="TRD/clusterYcorr.gif">
635 static const Float_t cy[AliTRDgeometry::kNlayer][3] = {
636 { 4.014e-04, 8.605e-03, -6.880e+00},
637 {-3.061e-04, 9.663e-03, -6.789e+00},
638 { 1.124e-03, 1.105e-02, -6.825e+00},
639 {-1.527e-03, 1.231e-02, -6.777e+00},
640 { 2.150e-03, 1.387e-02, -6.783e+00},
641 {-1.296e-03, 1.486e-02, -6.825e+00}
644 return cy[ly][0] + cy[ly][1] * TMath::Sin(cy[ly][2] * y);
647 //_____________________________________________________________________________
648 Float_t AliTRDcluster::GetXloc(Double_t t0, Double_t vd
649 , const Double_t *const /*q*/
650 , const Double_t *const /*xq*/
654 // (Re)Calculate cluster position in the x direction in local chamber coordinates (with respect to the anode wire
655 // position) using all available information from tracking.
657 // t0 - calibration aware trigger delay [us]
658 // vd - drift velocity in the region of the cluster [cm/us]
659 // z - distance to the anode wire [cm]. By default average over the drift cell width.
660 // q & xq - array of charges and cluster positions from previous clusters in the tracklet [a.u.]
662 // return x position of the cluster with respect to the
663 // anode wire using all tracking information
665 // The estimation of the radial position is based on calculating the drift time and the drift velocity at the point of
666 // estimation. The drift time can be estimated according to the expression:
668 // t_{drift} = t_{bin} - t_{0} - t_{cause}(x) - t_{TC}(q_{i-1}, q_{i-2}, ...)
670 // where t_0 is the delay of the trigger signal. t_cause is the causality delay between ionisation electrons hitting
671 // the anode and the registration of maximum signal by the electronics - it is due to the rising time of the TRF
672 // A second order correction here comes from the fact that the time spreading of charge at anode is the convolution of
673 // TRF with the diffusion and thus cross-talk between clusters before and after local clusters changes with drift length.
674 // t_TC is the residual charge from previous (in time) clusters due to residual tails after tail cancellation.
675 // This tends to push cluster forward and depends on the magnitude of their charge.
677 // The drift velocity varies with the drift length (and distance to anode wire) as described by cell structure simulation.
678 // Thus one, in principle, can calculate iteratively the drift length from the expression:
680 // x = t_{drift}(x)*v_{drift}(x)
682 // In practice we use a numerical approach (AliTRDcluster::GetXcorr()) to correct for anisochronity obtained from MC
683 // comparison (see AliTRDclusterResolution::ProcessSigma()). Also the calibration of 0 approximation (no x dependence)
684 // for t_cause is obtained from MC comparisons and impossible to disentangle in real life from trigger delay.
687 // Alex Bercuci <A.Bercuci@gsi.de>
690 AliTRDCommonParam *cp = AliTRDCommonParam::Instance();
691 Double_t fFreq = cp->GetSamplingFrequency();
693 //drift time corresponding to the center of the time bin
694 Double_t td = (fPadTime + .5)/fFreq; // [us]
697 // time bin corrected for t0
698 // Bug in TMath::Nint().root-5.23.02
699 // TMath::Nint(3.5) = 4 and TMath::Nint(4.5) = 4
700 Double_t tmp = td*fFreq;
701 fLocalTimeBin = Char_t(TMath::Floor(tmp));
702 if(tmp-fLocalTimeBin > .5) fLocalTimeBin++;
703 if(td < .2) return 0.;
704 // TRF rising time (fitted)
705 // It should be absorbed by the t0. For the moment t0 is 0 for simulations.
706 // A.Bercuci (Mar 26 2009)
709 // apply fitted correction
710 Float_t x = td*vd + (HasXcorr() ? GetXcorr(fLocalTimeBin) : 0.);
711 if(x>0.&&x<.5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()) SetInChamber();
716 //_____________________________________________________________________________
717 Float_t AliTRDcluster::GetYloc(Double_t y0, Double_t s2, Double_t W
718 , Double_t *const y1, Double_t *const y2)
721 // Calculate, in tracking cooordinate system, the r-phi offset the cluster
722 // from the middle of the center pad. Three possible methods are implemented:
723 // - Center of Gravity (COG) see AliTRDcluster::GetDYcog()
724 // - Look-up Table (LUT) see AliTRDcluster::GetDYlut()
725 // - Gauss shape (GAUS) see AliTRDcluster::GetDYgauss()
726 // In addition for the case of LUT method position corrections are also
727 // applied (see AliTRDcluster::GetYcorr())
730 if(IsRPhiMethod(kCOG)) GetDYcog();
731 else if(IsRPhiMethod(kLUT)) GetDYlut();
732 else if(IsRPhiMethod(kGAUS)) GetDYgauss(s2/W/W, y1, y2);
738 return y0+fCenter*W+(IsRPhiMethod(kLUT)?GetYcorr(AliTRDgeometry::GetLayer(fDetector), fCenter):0.);
741 //___________________________________________________________________________
742 void AliTRDcluster::SetSigmaY2(Float_t s2, Float_t dt, Float_t exb, Float_t x, Float_t z, Float_t tgp)
745 // Set variance of TRD cluster in the r-phi direction for each method.
747 // - s2 - variance due to PRF width for the case of Gauss model. Replaced by parameterization in case of LUT.
748 // - dt - transversal diffusion coeficient
749 // - exb - tg of lorentz angle
750 // - x - drift length - with respect to the anode wire
751 // - z - offset from the anode wire
752 // - tgp - local tangent of the track momentum azimuthal angle
754 // The ingredients from which the error is computed are:
755 // - PRF (charge sharing on adjacent pads) - see AliTRDcluster::GetSYprf()
756 // - diffusion (dependence with drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSYdrift()
757 // - charge of the cluster (complex dependence on gain and tail cancellation) - see AliTRDcluster::GetSYcharge()
758 // - lorentz angle (dependence on the drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSX()
759 // - track angle (superposition of charges on the anode wire) - see AliTRDseedV1::Fit()
760 // - projection of radial(x) error on r-phi due to fixed value assumed in tracking for x - see AliTRDseedV1::Fit()
762 // The last 2 contributions to cluster error can be estimated only during tracking when the track angle
763 // is known (tgp). For this reason the errors (and optional position) of TRD clusters are recalculated during
764 // tracking and thus clusters attached to tracks might differ from bare clusters.
766 // Taking into account all contributions one can write the the TRD cluster error parameterization as:
768 // #sigma_{y}^{2} = (#sigma_{diff}*Gauss(0, s_{ly}) + #delta_{#sigma}(q))^{2} + tg^{2}(#alpha_{L})*#sigma_{x}^{2} + tg^{2}(#phi-#alpha_{L})*#sigma_{x}^{2}+[tg(#phi-#alpha_{L})*tg(#alpha_{L})*x]^{2}/12
770 // From this formula one can deduce a that the simplest calibration method for PRF and diffusion contributions is
771 // by measuring resolution at B=0T and phi=0. To disentangle further the two remaining contributions one has
772 // to represent s2 as a function of drift length.
774 // In the gaussian model the diffusion contribution can be expressed as:
776 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
778 // thus resulting the PRF contribution. For the case of the LUT model both contributions have to be determined from
779 // the fit (see AliTRDclusterResolution::ProcessCenter() for details).
782 // A.Bercuci <A.Bercuci@gsi.de>
785 Float_t sigmaY2 = 0.;
786 Int_t ly = AliTRDgeometry::GetLayer(fDetector);
787 if(IsRPhiMethod(kCOG)) sigmaY2 = 4.e-4;
788 else if(IsRPhiMethod(kLUT)){
789 Float_t sd = GetSYdrift(fLocalTimeBin, ly, z); //printf("drift[%6.2f] ", 1.e4*sd);
790 sigmaY2 = GetSYprf(ly, fCenter, sd); //printf("PRF[%6.2f] ", 1.e4*sigmaY2);
791 // add charge contribution TODO scale with respect to s2
792 sigmaY2+= GetSYcharge(TMath::Abs(fQ)); //printf("Q[%6.2f] ", 1.e4*sigmaY2);
793 sigmaY2 = TMath::Max(sigmaY2, Float_t(0.0010)); //!! protection
795 } else if(IsRPhiMethod(kGAUS)){
798 // Diffusion contribution
799 Double_t sD2 = dt/(1.+exb); sD2 *= sD2; sD2 *= x;
801 // add charge contribution TODO scale with respect to s2
802 //sigmaY2+= GetSYcharge(TMath::Abs(fQ));
805 // store tg^2(phi-a_L) and tg^2(a_L)
806 Double_t tgg = (tgp-exb)/(1.+tgp*exb); tgg *= tgg;
807 Double_t exb2= exb*exb;
809 // Lorentz angle shift contribution
810 Float_t sx = GetSX(fLocalTimeBin, z); sx*=sx;
811 sigmaY2+= exb2*sx; //printf("Al[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
813 // Radial contribution due to not measuring x in Kalman model
814 sigmaY2+= tgg*sx; //printf("x[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
816 // Track angle contribution
817 sigmaY2+= tgg*x*x*exb2/12.; //printf("angle[%6.2f]\n", 1.e4*TMath::Sqrt(sigmaY2));
819 AliCluster::SetSigmaY2(sigmaY2);
823 //_____________________________________________________________________________
824 Bool_t AliTRDcluster::IsEqual(const TObject *o) const
827 // Compare relevant information of this cluster with another one
830 const AliTRDcluster *inCluster = dynamic_cast<const AliTRDcluster*>(o);
831 if (!o || !inCluster) return kFALSE;
833 if ( AliCluster::GetX() != inCluster->GetX() ) return kFALSE;
834 if ( AliCluster::GetY() != inCluster->GetY() ) return kFALSE;
835 if ( AliCluster::GetZ() != inCluster->GetZ() ) return kFALSE;
836 if ( fQ != inCluster->fQ ) return kFALSE;
837 if ( fDetector != inCluster->fDetector ) return kFALSE;
838 if ( fPadCol != inCluster->fPadCol ) return kFALSE;
839 if ( fPadRow != inCluster->fPadRow ) return kFALSE;
840 if ( fPadTime != inCluster->fPadTime ) return kFALSE;
841 if ( fClusterMasking != inCluster->fClusterMasking ) return kFALSE;
842 if ( IsInChamber() != inCluster->IsInChamber() ) return kFALSE;
843 if ( IsShared() != inCluster->IsShared() ) return kFALSE;
844 if ( IsUsed() != inCluster->IsUsed() ) return kFALSE;
850 //_____________________________________________________________________________
851 void AliTRDcluster::Print(Option_t *o) const
854 // Print cluster information
857 if(strcmp(o, "a")==0) {
859 "\nDet[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]"
860 "\n LChC[c(%3d) r(%2d) t(%2d)] t-t0[%2d] Npad[%d] cen[%5.3f] mask[%d]"
861 "\n QS[%3d %3d %3d %3d %3d %3d %3d] S2[%e %e]"
862 , fDetector, GetX(), GetY(), GetZ(), fQ,
863 IsInChamber() ? 'y' : 'n',
864 IsUsed() ? 'y' : 'n',
865 IsShared() ? 'y' : 'n',
866 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
867 , fPadCol, fPadRow, fPadTime, fLocalTimeBin, fNPads, fCenter, fClusterMasking
868 , fSignals[0], fSignals[1], fSignals[2], fSignals[3]
869 , fSignals[4], fSignals[5], fSignals[6]
870 , GetSigmaY2(), GetSigmaZ2()));
872 AliInfo(Form("Det[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]",
873 fDetector, GetX(), GetY(), GetZ(), fQ,
874 IsInChamber() ? 'y' : 'n',
875 IsUsed() ? 'y' : 'n',
876 IsShared() ? 'y' : 'n',
877 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
882 //_____________________________________________________________________________
883 void AliTRDcluster::SetPadMaskedPosition(UChar_t position)
886 // Store the pad corruption position code
888 // Code: 1 = left cluster
889 // 2 = middle cluster;
893 for (Int_t ipos = 0; ipos < 3; ipos++) {
894 if (TESTBIT(position, ipos))
895 SETBIT(fClusterMasking, ipos);
899 //_____________________________________________________________________________
900 void AliTRDcluster::SetPadMaskedStatus(UChar_t status)
903 // Store the status of the corrupted pad
908 // 32 = Not Connected
911 for (Int_t ipos = 0; ipos < 5; ipos++) {
912 if(TESTBIT(status, ipos))
913 SETBIT(fClusterMasking, ipos + 3);
918 //___________________________________________________________________________
919 Float_t AliTRDcluster::GetDYcog(const Double_t *const, const Double_t *const)
923 // Used for clusters with more than 3 pads - where LUT not applicable
926 Double_t sum = fSignals[1]
933 // Go to 3 pad COG ????
935 fCenter = (0.0 * (-fSignals[1] + fSignals[5])
936 + (-fSignals[2] + fSignals[4])) / sum;
941 //___________________________________________________________________________
942 Float_t AliTRDcluster::GetDYlut(const Double_t *const, const Double_t *const)
945 // Calculates the cluster position using the lookup table.
946 // Method provided by Bogdan Vulpescu.
949 if(!fgLUT) FillLUT();
951 Double_t ampL = fSignals[2],
954 Int_t ilayer = AliTRDgeometry::GetLayer(fDetector);
957 Double_t xmin, xmax, xwid;
962 Double_t xMin[AliTRDgeometry::kNlayer] = {
963 0.006492, 0.006377, 0.006258, 0.006144, 0.006030, 0.005980
965 Double_t xMax[AliTRDgeometry::kNlayer] = {
966 0.960351, 0.965870, 0.970445, 0.974352, 0.977667, 0.996101
970 x = (ampL - ampR) / ampC;
973 else if (ampL < ampR) {
974 x = (ampR - ampL) / ampC;
980 xmin = xMin[ilayer] + 0.000005;
981 xmax = xMax[ilayer] - 0.000005;
982 xwid = (xmax - xmin) / 127.0;
984 if (x < xmin) fCenter = 0.0000;
985 else if (x > xmax) fCenter = side * 0.5000;
987 ix = (Int_t) ((x - xmin) / xwid);
988 fCenter = side * fgLUT[ilayer*fgkNlut+ix];
990 } else fCenter = 0.0;
995 //___________________________________________________________________________
996 Float_t AliTRDcluster::GetDYgauss(Double_t s2w, Double_t *const y1, Double_t *const y2)
999 // (Re)Calculate cluster position in the y direction in local chamber coordinates using all available information from tracking.
1001 // Input parameters:
1002 // s2 - sigma of gaussian parameterization (see bellow for the exact parameterization)
1004 // xd - drift length (with respect to the anode wire) [cm]
1005 // wt - omega*tau = tg(a_L)
1007 // y1 and y2 - partial positions based on 2 pads clusters
1008 // return y position of the cluster from all information
1010 // Estimation of y coordinate is based on the gaussian approximation of the PRF. Thus one may
1011 // calculate the y position knowing the signals q_i-1, q_i and q_i+1 in the 3 adiacent pads by:
1013 // y = #frac{1}{w_{1}+w_{2}}#[]{w_{1}#(){y_{0}-#frac{W}{2}+#frac{s^{2}}{W}ln#frac{q_{i}}{q_{i-1}}}+w_{2}#(){y_{0}+ #frac{W}{2}+#frac{s^{2}}{W}ln#frac{q_{i+1}}{q_{i}}}}
1015 // where W is the pad width, y_0 is the position of the center pad and s^2 is given by
1017 // s^{2} = s^{2}_{0} + s^{2}_{diff} (x,B) + #frac{tg^{2}(#phi-#alpha_{L})*l^{2}}{12}
1019 // with s_0 being the PRF for 0 drift and track incidence phi equal to the lorentz angle a_L and the diffusion term
1020 // being described by:
1022 // s_{diff} (x,B) = #frac{D_{L}#sqrt{x}}{1+#(){#omega#tau}^{2}}
1024 // with x being the drift length. The weights w_1 and w_2 are taken to be q_i-1^2 and q_i+1^2 respectively
1027 // Alex Bercuci <A.Bercuci@gsi.de>
1028 // Theodor Rascanu <trascanu@stud.uni-frankfurt.de>
1030 Double_t w1 = fSignals[2]*fSignals[2];
1031 Double_t w2 = fSignals[4]*fSignals[4];
1034 AliError("Missing side signals for cluster.");
1039 //Double_t s2w = s2/W/W;
1040 Float_t y1r = fSignals[2]>0 ? (-0.5 + s2w*TMath::Log(fSignals[3]/(Float_t)fSignals[2])) : 0.;
1041 Float_t y2r = fSignals[4]>0 ? (0.5 + s2w*TMath::Log(fSignals[4]/(Float_t)fSignals[3])) : 0.;
1046 return fCenter = (w1*y1r+w2*y2r)/w;
1051 //_____________________________________________________________________________
1052 void AliTRDcluster::FillLUT()
1058 // The lookup table from Bogdan
1059 Float_t lut[AliTRDgeometry::kNlayer][fgkNlut] = {
1061 0.0070, 0.0150, 0.0224, 0.0298, 0.0374, 0.0454, 0.0533, 0.0611,
1062 0.0684, 0.0755, 0.0827, 0.0900, 0.0975, 0.1049, 0.1120, 0.1187,
1063 0.1253, 0.1318, 0.1385, 0.1453, 0.1519, 0.1584, 0.1646, 0.1704,
1064 0.1762, 0.1821, 0.1879, 0.1938, 0.1996, 0.2053, 0.2108, 0.2160,
1065 0.2210, 0.2260, 0.2310, 0.2361, 0.2411, 0.2461, 0.2509, 0.2557,
1066 0.2602, 0.2646, 0.2689, 0.2732, 0.2774, 0.2816, 0.2859, 0.2901,
1067 0.2942, 0.2983, 0.3022, 0.3061, 0.3099, 0.3136, 0.3172, 0.3207,
1068 0.3242, 0.3278, 0.3312, 0.3347, 0.3382, 0.3416, 0.3450, 0.3483,
1069 0.3515, 0.3547, 0.3579, 0.3609, 0.3639, 0.3669, 0.3698, 0.3727,
1070 0.3756, 0.3785, 0.3813, 0.3842, 0.3870, 0.3898, 0.3926, 0.3952,
1071 0.3979, 0.4005, 0.4032, 0.4057, 0.4082, 0.4108, 0.4132, 0.4157,
1072 0.4181, 0.4205, 0.4228, 0.4252, 0.4275, 0.4299, 0.4322, 0.4345,
1073 0.4367, 0.4390, 0.4412, 0.4434, 0.4456, 0.4478, 0.4499, 0.4520,
1074 0.4541, 0.4562, 0.4583, 0.4603, 0.4623, 0.4643, 0.4663, 0.4683,
1075 0.4702, 0.4722, 0.4741, 0.4758, 0.4774, 0.4790, 0.4805, 0.4824,
1076 0.4844, 0.4863, 0.4883, 0.4902, 0.4921, 0.4940, 0.4959, 0.4978
1079 0.0072, 0.0156, 0.0235, 0.0313, 0.0394, 0.0478, 0.0561, 0.0642,
1080 0.0718, 0.0792, 0.0868, 0.0947, 0.1025, 0.1101, 0.1172, 0.1241,
1081 0.1309, 0.1378, 0.1449, 0.1518, 0.1586, 0.1650, 0.1710, 0.1770,
1082 0.1830, 0.1891, 0.1952, 0.2011, 0.2070, 0.2125, 0.2177, 0.2229,
1083 0.2280, 0.2332, 0.2383, 0.2435, 0.2484, 0.2533, 0.2581, 0.2627,
1084 0.2670, 0.2714, 0.2757, 0.2799, 0.2842, 0.2884, 0.2927, 0.2968,
1085 0.3008, 0.3048, 0.3086, 0.3123, 0.3159, 0.3195, 0.3231, 0.3266,
1086 0.3301, 0.3335, 0.3370, 0.3404, 0.3438, 0.3471, 0.3504, 0.3536,
1087 0.3567, 0.3598, 0.3628, 0.3657, 0.3686, 0.3715, 0.3744, 0.3772,
1088 0.3800, 0.3828, 0.3856, 0.3884, 0.3911, 0.3938, 0.3965, 0.3991,
1089 0.4016, 0.4042, 0.4067, 0.4092, 0.4116, 0.4140, 0.4164, 0.4187,
1090 0.4211, 0.4234, 0.4257, 0.4280, 0.4302, 0.4325, 0.4347, 0.4369,
1091 0.4391, 0.4413, 0.4434, 0.4456, 0.4477, 0.4497, 0.4518, 0.4538,
1092 0.4558, 0.4578, 0.4598, 0.4618, 0.4637, 0.4656, 0.4675, 0.4694,
1093 0.4713, 0.4732, 0.4750, 0.4766, 0.4781, 0.4797, 0.4813, 0.4832,
1094 0.4851, 0.4870, 0.4888, 0.4906, 0.4925, 0.4942, 0.4960, 0.4978
1097 0.0075, 0.0163, 0.0246, 0.0328, 0.0415, 0.0504, 0.0592, 0.0674,
1098 0.0753, 0.0832, 0.0914, 0.0996, 0.1077, 0.1154, 0.1225, 0.1296,
1099 0.1369, 0.1442, 0.1515, 0.1585, 0.1652, 0.1714, 0.1776, 0.1839,
1100 0.1902, 0.1965, 0.2025, 0.2085, 0.2141, 0.2194, 0.2247, 0.2299,
1101 0.2352, 0.2405, 0.2457, 0.2507, 0.2557, 0.2604, 0.2649, 0.2693,
1102 0.2737, 0.2780, 0.2823, 0.2867, 0.2909, 0.2951, 0.2992, 0.3033,
1103 0.3072, 0.3110, 0.3146, 0.3182, 0.3218, 0.3253, 0.3288, 0.3323,
1104 0.3357, 0.3392, 0.3426, 0.3459, 0.3492, 0.3524, 0.3555, 0.3586,
1105 0.3616, 0.3645, 0.3674, 0.3703, 0.3731, 0.3759, 0.3787, 0.3815,
1106 0.3843, 0.3870, 0.3897, 0.3925, 0.3950, 0.3976, 0.4002, 0.4027,
1107 0.4052, 0.4076, 0.4101, 0.4124, 0.4148, 0.4171, 0.4194, 0.4217,
1108 0.4239, 0.4262, 0.4284, 0.4306, 0.4328, 0.4350, 0.4371, 0.4393,
1109 0.4414, 0.4435, 0.4455, 0.4476, 0.4496, 0.4516, 0.4536, 0.4555,
1110 0.4575, 0.4594, 0.4613, 0.4632, 0.4650, 0.4669, 0.4687, 0.4705,
1111 0.4723, 0.4741, 0.4758, 0.4773, 0.4789, 0.4804, 0.4821, 0.4839,
1112 0.4857, 0.4875, 0.4893, 0.4910, 0.4928, 0.4945, 0.4961, 0.4978
1115 0.0078, 0.0171, 0.0258, 0.0345, 0.0438, 0.0532, 0.0624, 0.0708,
1116 0.0791, 0.0875, 0.0962, 0.1048, 0.1130, 0.1206, 0.1281, 0.1356,
1117 0.1432, 0.1508, 0.1582, 0.1651, 0.1716, 0.1780, 0.1845, 0.1910,
1118 0.1975, 0.2038, 0.2099, 0.2155, 0.2210, 0.2263, 0.2317, 0.2371,
1119 0.2425, 0.2477, 0.2528, 0.2578, 0.2626, 0.2671, 0.2715, 0.2759,
1120 0.2803, 0.2846, 0.2890, 0.2933, 0.2975, 0.3016, 0.3056, 0.3095,
1121 0.3132, 0.3168, 0.3204, 0.3239, 0.3274, 0.3309, 0.3344, 0.3378,
1122 0.3412, 0.3446, 0.3479, 0.3511, 0.3543, 0.3574, 0.3603, 0.3633,
1123 0.3662, 0.3690, 0.3718, 0.3747, 0.3774, 0.3802, 0.3829, 0.3857,
1124 0.3883, 0.3910, 0.3936, 0.3962, 0.3987, 0.4012, 0.4037, 0.4061,
1125 0.4085, 0.4109, 0.4132, 0.4155, 0.4177, 0.4200, 0.4222, 0.4244,
1126 0.4266, 0.4288, 0.4309, 0.4331, 0.4352, 0.4373, 0.4394, 0.4414,
1127 0.4435, 0.4455, 0.4475, 0.4494, 0.4514, 0.4533, 0.4552, 0.4571,
1128 0.4590, 0.4608, 0.4626, 0.4645, 0.4662, 0.4680, 0.4698, 0.4715,
1129 0.4733, 0.4750, 0.4766, 0.4781, 0.4796, 0.4812, 0.4829, 0.4846,
1130 0.4863, 0.4880, 0.4897, 0.4914, 0.4930, 0.4946, 0.4963, 0.4979
1133 0.0081, 0.0178, 0.0270, 0.0364, 0.0463, 0.0562, 0.0656, 0.0744,
1134 0.0831, 0.0921, 0.1013, 0.1102, 0.1183, 0.1261, 0.1339, 0.1419,
1135 0.1499, 0.1576, 0.1648, 0.1715, 0.1782, 0.1849, 0.1917, 0.1984,
1136 0.2048, 0.2110, 0.2167, 0.2223, 0.2278, 0.2333, 0.2389, 0.2444,
1137 0.2497, 0.2548, 0.2598, 0.2645, 0.2691, 0.2735, 0.2780, 0.2824,
1138 0.2868, 0.2912, 0.2955, 0.2997, 0.3038, 0.3078, 0.3116, 0.3152,
1139 0.3188, 0.3224, 0.3259, 0.3294, 0.3329, 0.3364, 0.3398, 0.3432,
1140 0.3465, 0.3497, 0.3529, 0.3561, 0.3591, 0.3620, 0.3649, 0.3677,
1141 0.3705, 0.3733, 0.3761, 0.3788, 0.3816, 0.3843, 0.3869, 0.3896,
1142 0.3922, 0.3948, 0.3973, 0.3998, 0.4022, 0.4047, 0.4070, 0.4094,
1143 0.4117, 0.4139, 0.4162, 0.4184, 0.4206, 0.4227, 0.4249, 0.4270,
1144 0.4291, 0.4313, 0.4334, 0.4354, 0.4375, 0.4395, 0.4415, 0.4435,
1145 0.4455, 0.4474, 0.4493, 0.4512, 0.4531, 0.4550, 0.4568, 0.4586,
1146 0.4604, 0.4622, 0.4639, 0.4657, 0.4674, 0.4691, 0.4708, 0.4725,
1147 0.4742, 0.4758, 0.4773, 0.4788, 0.4803, 0.4819, 0.4836, 0.4852,
1148 0.4869, 0.4885, 0.4901, 0.4917, 0.4933, 0.4948, 0.4964, 0.4979
1151 0.0085, 0.0189, 0.0288, 0.0389, 0.0497, 0.0603, 0.0699, 0.0792,
1152 0.0887, 0.0985, 0.1082, 0.1170, 0.1253, 0.1336, 0.1421, 0.1505,
1153 0.1587, 0.1662, 0.1733, 0.1803, 0.1874, 0.1945, 0.2014, 0.2081,
1154 0.2143, 0.2201, 0.2259, 0.2316, 0.2374, 0.2431, 0.2487, 0.2541,
1155 0.2593, 0.2642, 0.2689, 0.2735, 0.2781, 0.2826, 0.2872, 0.2917,
1156 0.2961, 0.3003, 0.3045, 0.3086, 0.3125, 0.3162, 0.3198, 0.3235,
1157 0.3270, 0.3306, 0.3342, 0.3377, 0.3411, 0.3446, 0.3479, 0.3511,
1158 0.3543, 0.3575, 0.3605, 0.3634, 0.3663, 0.3691, 0.3720, 0.3748,
1159 0.3775, 0.3803, 0.3830, 0.3857, 0.3884, 0.3911, 0.3937, 0.3962,
1160 0.3987, 0.4012, 0.4036, 0.4060, 0.4084, 0.4107, 0.4129, 0.4152,
1161 0.4174, 0.4196, 0.4218, 0.4239, 0.4261, 0.4282, 0.4303, 0.4324,
1162 0.4344, 0.4365, 0.4385, 0.4405, 0.4425, 0.4445, 0.4464, 0.4483,
1163 0.4502, 0.4521, 0.4539, 0.4558, 0.4576, 0.4593, 0.4611, 0.4629,
1164 0.4646, 0.4663, 0.4680, 0.4697, 0.4714, 0.4730, 0.4747, 0.4759,
1165 0.4769, 0.4780, 0.4790, 0.4800, 0.4811, 0.4827, 0.4843, 0.4859,
1166 0.4874, 0.4889, 0.4905, 0.4920, 0.4935, 0.4950, 0.4965, 0.4979
1170 if(!fgLUT) fgLUT = new Double_t[AliTRDgeometry::kNlayer*fgkNlut];
1172 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::kNlayer; ilayer++) {
1173 for (Int_t ilut = 0; ilut < fgkNlut; ilut++ ) {
1174 fgLUT[ilayer*fgkNlut+ilut] = lut[ilayer][ilut];