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
176 ((AliTRDcluster &) c).Copy(*this);
183 //_____________________________________________________________________________
184 void AliTRDcluster::AddTrackIndex(const Int_t * const track)
187 // Adds track index. Currently assumed that track is an array of
188 // size 9, and up to 3 track indexes are stored in fTracks[3].
189 // Indexes are sorted according to:
190 // 1) index of max number of appearances is stored first
191 // 2) if two or more indexes appear equal number of times, the lowest
192 // ones are stored first;
195 const Int_t kSize = 9;
196 Int_t entries[kSize][2];
204 for (i = 0; i < kSize; i++) {
209 for (k = 0; k < kSize; k++) {
216 while ((!indexAdded) && (j < kSize)) {
217 if ((entries[j][0] == index) ||
218 (entries[j][1] == 0)) {
219 entries[j][0] = index;
220 entries[j][1] = entries[j][1] + 1;
229 // Sort by number of appearances and index value
235 for (i = 0; i < (kSize - 1); i++) {
236 if ((entries[i][0] >= 0) &&
237 (entries[i+1][0] >= 0)) {
238 if ((entries[i][1] < entries[i+1][1]) ||
239 ((entries[i][1] == entries[i+1][1]) &&
240 (entries[i][0] > entries[i+1][0]))) {
241 tmp0 = entries[i][0];
242 tmp1 = entries[i][1];
243 entries[i][0] = entries[i+1][0];
244 entries[i][1] = entries[i+1][1];
245 entries[i+1][0] = tmp0;
246 entries[i+1][1] = tmp1;
254 for (i = 0; i < 3; i++) {
255 SetLabel(entries[i][0],i);
262 //_____________________________________________________________________________
263 void AliTRDcluster::Clear(Option_t *)
266 // Reset all member to the default value
275 for (Int_t i=0; i < 7; i++) fSignals[i]=0;
278 for (Int_t i = 0; i < 3; i++) SetLabel(0,i);
282 AliCluster::SetSigmaY2(0.);
287 //_____________________________________________________________________________
288 Float_t AliTRDcluster::GetSumS() const
291 // Returns the total charge from a not unfolded cluster
295 for (Int_t i = 0; i < 7; i++) {
303 //___________________________________________________________________________
304 Double_t AliTRDcluster::GetSX(Int_t tb, Double_t z)
307 // Returns the error parameterization in the radial direction for TRD clusters as function of
308 // the calibrated time bin (tb) and optionally distance to anode wire (z). By default (no z information)
309 // the mean value over all cluster to wire distance is chosen.
311 // There are several contributions which are entering in the definition of the radial errors of the clusters.
312 // Although an analytic defition should be possible for the moment this is not yet available but instead a
313 // numerical parameterization is provided (see AliTRDclusterResolution::ProcessSigma() for the calibration
314 // method). The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis.
317 //<img src="TRD/clusterXerrorDiff2D.gif">
320 // Here is a list of uncertainty components:
321 // - Time Response Function (TRF) - the major contribution. since TRF is also not symmetric (even if tail is
322 // cancelled) it also creates a systematic shift dependent on the charge distribution before and after the cluster.
323 // - longitudinal diffusion - increase the width of TRF and scales with square root of drift length
324 // - variation in the drift velocity within the drift cell
327 // A.Bercuci <A.Bercuci@gsi.de>
330 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
331 static const Double_t sx[24][10]={
332 {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},
333 {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},
334 {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},
335 {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},
336 {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},
337 {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},
338 {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},
339 {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},
340 {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},
341 {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},
342 {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},
343 {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},
344 {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},
345 {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},
346 {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},
347 {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},
348 {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},
349 {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},
350 {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},
351 {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},
352 {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},
353 {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},
354 {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},
355 {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}
357 if(z>=0. && z<.25) return sx[tb][Int_t(z/.025)];
359 Double_t m = 0.; for(Int_t id=10; id--;) m+=sx[tb][id];
364 //___________________________________________________________________________
365 Double_t AliTRDcluster::GetSYdrift(Int_t tb, Int_t ly, Double_t/* z*/)
368 // Returns the error parameterization for TRD clusters as function of the drift length (here calibrated time bin tb)
369 // and optionally distance to anode wire (z) for the LUT r-phi cluster shape. By default (no z information) the largest
370 // value over all cluster to wire values is chosen.
372 // For the LUT method the dependence of s_y with x and d is obtained via a fit to the cluster to MC
373 // resolution. (see class AliTRDclusterResolution for more details). A normalization to the reference radial position
374 // x0 = 0.675 (tb=5 for ideal vd) is also applied (see GetSYprf()). The function is *NOT* calibration aware !
375 // The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis. A comparison
376 // with the GAUS parameterization is also given
378 // For the GAUS method the dependence of s_y with x is *analytic* and it is expressed by the relation.
380 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
382 // The result is displayed in the figure below as function of the drift time and compared with the LUT parameterization.
384 //<img src="TRD/clusterYerrorDiff2D.gif">
385 //<img src="TRD/clusterYerrorDiff1D.gif">
389 // A.Bercuci <A.Bercuci@gsi.de>
392 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
393 static const Float_t lSy[6][24] = {
394 {75.7561, 0.0325, 0.0175, 0.0174, 0.0206, 0.0232,
395 0.0253, 0.0262, 0.0265, 0.0264, 0.0266, 0.0257,
396 0.0258, 0.0261, 0.0259, 0.0253, 0.0257, 0.0261,
397 0.0255, 0.0250, 0.0259, 0.0266, 0.0278, 0.0319
399 {49.2252, 0.0371, 0.0204, 0.0189, 0.0230, 0.0261,
400 0.0281, 0.0290, 0.0292, 0.0286, 0.0277, 0.0279,
401 0.0285, 0.0281, 0.0291, 0.0281, 0.0281, 0.0282,
402 0.0272, 0.0282, 0.0282, 0.0284, 0.0310, 0.0334
404 {55.1674, 0.0388, 0.0212, 0.0200, 0.0239, 0.0271,
405 0.0288, 0.0299, 0.0306, 0.0300, 0.0296, 0.0303,
406 0.0293, 0.0290, 0.0291, 0.0294, 0.0295, 0.0290,
407 0.0293, 0.0292, 0.0292, 0.0293, 0.0316, 0.0358
409 {45.1004, 0.0411, 0.0225, 0.0215, 0.0249, 0.0281,
410 0.0301, 0.0315, 0.0320, 0.0308, 0.0318, 0.0321,
411 0.0312, 0.0311, 0.0316, 0.0315, 0.0310, 0.0308,
412 0.0313, 0.0303, 0.0314, 0.0314, 0.0324, 0.0369
414 {43.8614, 0.0420, 0.0239, 0.0224, 0.0268, 0.0296,
415 0.0322, 0.0336, 0.0333, 0.0326, 0.0321, 0.0325,
416 0.0329, 0.0326, 0.0323, 0.0322, 0.0326, 0.0320,
417 0.0329, 0.0319, 0.0314, 0.0329, 0.0341, 0.0373
419 {40.5440, 0.0434, 0.0246, 0.0236, 0.0275, 0.0311,
420 0.0332, 0.0345, 0.0347, 0.0347, 0.0340, 0.0336,
421 0.0339, 0.0344, 0.0339, 0.0341, 0.0341, 0.0342,
422 0.0345, 0.0328, 0.0341, 0.0332, 0.0356, 0.0398
426 return TMath::Max(lSy[ly][tb]-0.0150, 0.0010);
428 /* const Double_t sy[24][10]={
429 {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},
430 {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},
431 {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},
432 {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},
433 {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},
434 {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},
435 {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},
436 {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},
437 {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},
438 {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},
439 {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},
440 {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},
441 {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},
442 {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},
443 {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},
444 {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},
445 {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},
446 {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},
447 {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},
448 {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},
449 {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},
450 {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},
451 {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},
452 {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}
454 if(z>=0. && z<.25) return sy[tb][Int_t(z/.025)] - sy[5][Int_t(z/.025)];
456 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];
461 //___________________________________________________________________________
462 Double_t AliTRDcluster::GetSYcharge(Float_t q)
465 // Parameterization of the r-phi resolution component due to cluster charge.
466 // The value is the offset from the nominal cluster resolution defined as the
467 // cluster resolution at average cluster charge (q0).
470 // #Delta #sigma_{y}(q) = a*(#frac{1}{q} - #frac{1}{q_{0}})
473 // The definition is *NOT* robust against gain fluctuations and thus two approaches are possible
474 // when residual miscalibration are available:
475 // - determine parameterization with a resolution matching those of the gain
476 // - define an analytic model which scales with the gain.
478 // For more details please see AliTRDclusterResolution::ProcessCharge()
481 //<img src="TRD/clusterQerror.gif">
485 // A.Bercuci <A.Bercuci@gsi.de>
488 const Float_t sq0inv = 0.019962; // [1/q0]
489 const Float_t sqb = 0.037328; // [cm]
491 return sqb*(1./q - sq0inv);
494 //___________________________________________________________________________
495 Double_t AliTRDcluster::GetSYprf(Int_t ly, Double_t center, Double_t s2)
498 // Parameterization of the cluster error in the r-phi direction due to charge sharing between
499 // adiacent pads. Should be identical to what is provided in the OCDB as PRF [TODO]
501 // The parameterization is obtained from fitting cluster resolution at phi=exb and |x-0.675|<0.225.
502 // For more details see AliTRDclusterResolution::ProcessCenter().
505 //<img src="TRD/clusterPRFerror.gif">
509 // A.Bercuci <A.Bercuci@gsi.de>
512 /* const Float_t scy[AliTRDgeometry::kNlayer][4] = {
513 {2.827e-02, 9.600e-04, 4.296e-01, 2.271e-02},
514 {2.952e-02,-2.198e-04, 4.146e-01, 2.339e-02},
515 {3.090e-02, 1.514e-03, 4.020e-01, 2.402e-02},
516 {3.260e-02,-2.037e-03, 3.946e-01, 2.509e-02},
517 {3.439e-02,-3.601e-04, 3.883e-01, 2.623e-02},
518 {3.510e-02, 2.066e-03, 3.651e-01, 2.588e-02},
520 const Float_t lPRF[] = {0.438, 0.403, 0.393, 0.382, 0.376, 0.345};
522 return s2*TMath::Gaus(center, 0., lPRF[ly]);
526 //___________________________________________________________________________
527 Double_t AliTRDcluster::GetXcorr(Int_t tb, Double_t z)
530 // Drift length correction [cm]. Due to variation of mean drift velocity along the drift region
531 // from nominal vd at xd->infinity. For drift velocity determination based on tracking information
532 // the correction should be negligible.
534 //<img src="TRD/clusterXcorr.gif">
536 // TODO to be parametrized in term of drift velocity at infinite drift length
537 // A.Bercuci (Mar 28 2009)
540 if(tb<0 || tb>=24) return 0.;
542 static const Double_t dx[24][nd]={
543 {+1.747e-01,+3.195e-01,+1.641e-01,+1.607e-01,+6.002e-01},
544 {+5.468e-02,+5.760e-02,+6.365e-02,+8.003e-02,+1.067e-01},
545 {-6.327e-02,-6.339e-02,-6.423e-02,-6.900e-02,-7.949e-02},
546 {-1.417e-01,-1.424e-01,-1.450e-01,-1.465e-01,-1.514e-01},
547 {-1.637e-01,-1.619e-01,-1.622e-01,-1.613e-01,-1.648e-01},
548 {-1.386e-01,-1.334e-01,-1.261e-01,-1.276e-01,-1.314e-01},
549 {-8.799e-02,-8.299e-02,-7.861e-02,-8.038e-02,-8.436e-02},
550 {-5.139e-02,-4.849e-02,-4.641e-02,-4.965e-02,-5.286e-02},
551 {-2.927e-02,-2.773e-02,-2.807e-02,-3.021e-02,-3.378e-02},
552 {-1.380e-02,-1.229e-02,-1.335e-02,-1.547e-02,-1.984e-02},
553 {-4.168e-03,-4.601e-03,-5.462e-03,-8.164e-03,-1.035e-02},
554 {+2.044e-03,+1.889e-03,+9.603e-04,-1.342e-03,-3.736e-03},
555 {+3.568e-03,+3.581e-03,+2.391e-03,+2.942e-05,-1.585e-03},
556 {+4.403e-03,+4.571e-03,+3.509e-03,+8.703e-04,-1.425e-03},
557 {+4.941e-03,+4.808e-03,+3.284e-03,+1.105e-03,-1.208e-03},
558 {+5.124e-03,+5.022e-03,+4.305e-03,+2.023e-03,-1.145e-03},
559 {+4.882e-03,+4.008e-03,+3.408e-03,+7.886e-04,-1.356e-03},
560 {+3.852e-03,+3.539e-03,+2.057e-03,+1.670e-04,-1.993e-03},
561 {+2.154e-03,+2.111e-03,+5.723e-04,-1.254e-03,-3.256e-03},
562 {+1.755e-03,+2.101e-03,+9.516e-04,-1.649e-03,-3.394e-03},
563 {+1.617e-03,+1.662e-03,+4.169e-04,-9.843e-04,-4.309e-03},
564 {-9.204e-03,-9.069e-03,-1.182e-02,-1.458e-02,-1.880e-02},
565 {-6.727e-02,-6.820e-02,-6.804e-02,-7.134e-02,-7.615e-02},
566 {-1.802e-01,-1.733e-01,-1.633e-01,-1.601e-01,-1.632e-01}
568 // const Double_t dx[24][nd]={
569 // {+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},
570 // {-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},
571 // {-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},
572 // {-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},
573 // {-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},
574 // {-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},
575 // {-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},
576 // {-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},
577 // {+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},
578 // {+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},
579 // {+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},
580 // {+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},
581 // {+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},
582 // {+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},
583 // {+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},
584 // {+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},
585 // {+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},
586 // {+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},
587 // {+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},
588 // {+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},
589 // {+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},
590 // {+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},
591 // {+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},
592 // {+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}
594 if(z>=0. && z<.25) return dx[tb][Int_t(z/.025)];
596 Double_t m = 0.; for(Int_t id=nd; id--;) m+=dx[tb][id];
600 //___________________________________________________________________________
601 Double_t AliTRDcluster::GetYcorr(Int_t ly, Float_t y)
604 // PRF correction for the LUT r-phi cluster shape.
606 //<img src="TRD/clusterYcorr.gif">
610 static const Float_t cy[AliTRDgeometry::kNlayer][3] = {
611 { 4.014e-04, 8.605e-03, -6.880e+00},
612 {-3.061e-04, 9.663e-03, -6.789e+00},
613 { 1.124e-03, 1.105e-02, -6.825e+00},
614 {-1.527e-03, 1.231e-02, -6.777e+00},
615 { 2.150e-03, 1.387e-02, -6.783e+00},
616 {-1.296e-03, 1.486e-02, -6.825e+00}
619 return cy[ly][0] + cy[ly][1] * TMath::Sin(cy[ly][2] * y);
622 //_____________________________________________________________________________
623 Float_t AliTRDcluster::GetXloc(Double_t t0, Double_t vd
624 , const Double_t *const /*q*/
625 , const Double_t *const /*xq*/
629 // (Re)Calculate cluster position in the x direction in local chamber coordinates (with respect to the anode wire
630 // position) using all available information from tracking.
632 // t0 - calibration aware trigger delay [us]
633 // vd - drift velocity in the region of the cluster [cm/us]
634 // z - distance to the anode wire [cm]. By default average over the drift cell width.
635 // q & xq - array of charges and cluster positions from previous clusters in the tracklet [a.u.]
637 // return x position of the cluster with respect to the
638 // anode wire using all tracking information
640 // The estimation of the radial position is based on calculating the drift time and the drift velocity at the point of
641 // estimation. The drift time can be estimated according to the expression:
643 // t_{drift} = t_{bin} - t_{0} - t_{cause}(x) - t_{TC}(q_{i-1}, q_{i-2}, ...)
645 // where t_0 is the delay of the trigger signal. t_cause is the causality delay between ionisation electrons hitting
646 // the anode and the registration of maximum signal by the electronics - it is due to the rising time of the TRF
647 // A second order correction here comes from the fact that the time spreading of charge at anode is the convolution of
648 // TRF with the diffusion and thus cross-talk between clusters before and after local clusters changes with drift length.
649 // t_TC is the residual charge from previous (in time) clusters due to residual tails after tail cancellation.
650 // This tends to push cluster forward and depends on the magnitude of their charge.
652 // The drift velocity varies with the drift length (and distance to anode wire) as described by cell structure simulation.
653 // Thus one, in principle, can calculate iteratively the drift length from the expression:
655 // x = t_{drift}(x)*v_{drift}(x)
657 // In practice we use a numerical approach (AliTRDcluster::GetXcorr()) to correct for anisochronity obtained from MC
658 // comparison (see AliTRDclusterResolution::ProcessSigma()). Also the calibration of 0 approximation (no x dependence)
659 // for t_cause is obtained from MC comparisons and impossible to disentangle in real life from trigger delay.
662 // Alex Bercuci <A.Bercuci@gsi.de>
665 AliTRDCommonParam *cp = AliTRDCommonParam::Instance();
666 Double_t fFreq = cp->GetSamplingFrequency();
668 //drift time corresponding to the center of the time bin
669 Double_t td = (fPadTime + .5)/fFreq; // [us]
672 // time bin corrected for t0
673 // Bug in TMath::Nint().root-5.23.02
674 // TMath::Nint(3.5) = 4 and TMath::Nint(4.5) = 4
675 Double_t tmp = td*fFreq;
676 fLocalTimeBin = Char_t(TMath::Floor(tmp));
677 if(tmp-fLocalTimeBin > .5) fLocalTimeBin++;
678 if(td < .2) return 0.;
679 // TRF rising time (fitted)
680 // It should be absorbed by the t0. For the moment t0 is 0 for simulations.
681 // A.Bercuci (Mar 26 2009)
684 // apply fitted correction
685 Float_t x = td*vd + (HasXcorr() ? GetXcorr(fLocalTimeBin) : 0.);
686 if(x>0.&&x<.5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()) SetInChamber();
691 //_____________________________________________________________________________
692 Float_t AliTRDcluster::GetYloc(Double_t y0, Double_t s2, Double_t W
693 , Double_t *const y1, Double_t *const y2)
696 // Calculate, in tracking cooordinate system, the r-phi offset the cluster
697 // from the middle of the center pad. Three possible methods are implemented:
698 // - Center of Gravity (COG) see AliTRDcluster::GetDYcog()
699 // - Look-up Table (LUT) see AliTRDcluster::GetDYlut()
700 // - Gauss shape (GAUS) see AliTRDcluster::GetDYgauss()
701 // In addition for the case of LUT method position corrections are also
702 // applied (see AliTRDcluster::GetYcorr())
705 if(IsRPhiMethod(kCOG)) GetDYcog();
706 else if(IsRPhiMethod(kLUT)) GetDYlut();
707 else if(IsRPhiMethod(kGAUS)) GetDYgauss(s2/W/W, y1, y2);
713 return y0+fCenter*W+(IsRPhiMethod(kLUT)?GetYcorr(AliTRDgeometry::GetLayer(fDetector), fCenter):0.);
716 //___________________________________________________________________________
717 void AliTRDcluster::SetSigmaY2(Float_t s2, Float_t dt, Float_t exb, Float_t x, Float_t z, Float_t tgp)
720 // Set variance of TRD cluster in the r-phi direction for each method.
722 // - s2 - variance due to PRF width for the case of Gauss model. Replaced by parameterization in case of LUT.
723 // - dt - transversal diffusion coeficient
724 // - exb - tg of lorentz angle
725 // - x - drift length - with respect to the anode wire
726 // - z - offset from the anode wire
727 // - tgp - local tangent of the track momentum azimuthal angle
729 // The ingredients from which the error is computed are:
730 // - PRF (charge sharing on adjacent pads) - see AliTRDcluster::GetSYprf()
731 // - diffusion (dependence with drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSYdrift()
732 // - charge of the cluster (complex dependence on gain and tail cancellation) - see AliTRDcluster::GetSYcharge()
733 // - lorentz angle (dependence on the drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSX()
734 // - track angle (superposition of charges on the anode wire) - see AliTRDseedV1::Fit()
735 // - projection of radial(x) error on r-phi due to fixed value assumed in tracking for x - see AliTRDseedV1::Fit()
737 // The last 2 contributions to cluster error can be estimated only during tracking when the track angle
738 // is known (tgp). For this reason the errors (and optional position) of TRD clusters are recalculated during
739 // tracking and thus clusters attached to tracks might differ from bare clusters.
741 // Taking into account all contributions one can write the the TRD cluster error parameterization as:
743 // #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
745 // From this formula one can deduce a that the simplest calibration method for PRF and diffusion contributions is
746 // by measuring resolution at B=0T and phi=0. To disentangle further the two remaining contributions one has
747 // to represent s2 as a function of drift length.
749 // In the gaussian model the diffusion contribution can be expressed as:
751 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
753 // thus resulting the PRF contribution. For the case of the LUT model both contributions have to be determined from
754 // the fit (see AliTRDclusterResolution::ProcessCenter() for details).
757 // A.Bercuci <A.Bercuci@gsi.de>
760 Float_t sigmaY2 = 0.;
761 Int_t ly = AliTRDgeometry::GetLayer(fDetector);
762 if(IsRPhiMethod(kCOG)) sigmaY2 = 4.e-4;
763 else if(IsRPhiMethod(kLUT)){
764 Float_t sd = GetSYdrift(fLocalTimeBin, ly, z); //printf("drift[%6.2f] ", 1.e4*sd);
765 sigmaY2 = GetSYprf(ly, fCenter, sd); //printf("PRF[%6.2f] ", 1.e4*sigmaY2);
766 // add charge contribution TODO scale with respect to s2
767 sigmaY2+= GetSYcharge(TMath::Abs(fQ)); //printf("Q[%6.2f] ", 1.e4*sigmaY2);
768 sigmaY2 = TMath::Max(sigmaY2, Float_t(0.0010)); //!! protection
770 } else if(IsRPhiMethod(kGAUS)){
773 // Diffusion contribution
774 Double_t sD2 = dt/(1.+exb); sD2 *= sD2; sD2 *= x;
776 // add charge contribution TODO scale with respect to s2
777 //sigmaY2+= GetSYcharge(TMath::Abs(fQ));
780 // store tg^2(phi-a_L) and tg^2(a_L)
781 Double_t tgg = (tgp-exb)/(1.+tgp*exb); tgg *= tgg;
782 Double_t exb2= exb*exb;
784 // Lorentz angle shift contribution
785 Float_t sx = GetSX(fLocalTimeBin, z); sx*=sx;
786 sigmaY2+= exb2*sx; //printf("Al[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
788 // Radial contribution due to not measuring x in Kalman model
789 sigmaY2+= tgg*sx; //printf("x[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
791 // Track angle contribution
792 sigmaY2+= tgg*x*x*exb2/12.; //printf("angle[%6.2f]\n", 1.e4*TMath::Sqrt(sigmaY2));
794 AliCluster::SetSigmaY2(sigmaY2);
798 //_____________________________________________________________________________
799 Bool_t AliTRDcluster::IsEqual(const TObject *o) const
802 // Compare relevant information of this cluster with another one
805 const AliTRDcluster *inCluster = dynamic_cast<const AliTRDcluster*>(o);
806 if (!o || !inCluster) return kFALSE;
808 if ( AliCluster::GetX() != inCluster->GetX() ) return kFALSE;
809 if ( AliCluster::GetY() != inCluster->GetY() ) return kFALSE;
810 if ( AliCluster::GetZ() != inCluster->GetZ() ) return kFALSE;
811 if ( fQ != inCluster->fQ ) return kFALSE;
812 if ( fDetector != inCluster->fDetector ) return kFALSE;
813 if ( fPadCol != inCluster->fPadCol ) return kFALSE;
814 if ( fPadRow != inCluster->fPadRow ) return kFALSE;
815 if ( fPadTime != inCluster->fPadTime ) return kFALSE;
816 if ( fClusterMasking != inCluster->fClusterMasking ) return kFALSE;
817 if ( IsInChamber() != inCluster->IsInChamber() ) return kFALSE;
818 if ( IsShared() != inCluster->IsShared() ) return kFALSE;
819 if ( IsUsed() != inCluster->IsUsed() ) return kFALSE;
825 //_____________________________________________________________________________
826 void AliTRDcluster::Print(Option_t *o) const
829 // Print cluster information
832 if(strcmp(o, "a")==0) {
834 "\nDet[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]"
835 "\n LChC[c(%3d) r(%2d) t(%2d)] t-t0[%2d] Npad[%d] cen[%5.3f] mask[%d]"
836 "\n QS[%3d %3d %3d %3d %3d %3d %3d] S2[%e %e]"
837 , fDetector, GetX(), GetY(), GetZ(), fQ,
838 IsInChamber() ? 'y' : 'n',
839 IsUsed() ? 'y' : 'n',
840 IsShared() ? 'y' : 'n',
841 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
842 , fPadCol, fPadRow, fPadTime, fLocalTimeBin, fNPads, fCenter, fClusterMasking
843 , fSignals[0], fSignals[1], fSignals[2], fSignals[3]
844 , fSignals[4], fSignals[5], fSignals[6]
845 , GetSigmaY2(), GetSigmaZ2()));
847 AliInfo(Form("Det[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]",
848 fDetector, GetX(), GetY(), GetZ(), fQ,
849 IsInChamber() ? 'y' : 'n',
850 IsUsed() ? 'y' : 'n',
851 IsShared() ? 'y' : 'n',
852 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
857 //_____________________________________________________________________________
858 void AliTRDcluster::SetPadMaskedPosition(UChar_t position)
861 // Store the pad corruption position code
863 // Code: 1 = left cluster
864 // 2 = middle cluster;
868 for (Int_t ipos = 0; ipos < 3; ipos++) {
869 if (TESTBIT(position, ipos))
870 SETBIT(fClusterMasking, ipos);
874 //_____________________________________________________________________________
875 void AliTRDcluster::SetPadMaskedStatus(UChar_t status)
878 // Store the status of the corrupted pad
883 // 32 = Not Connected
886 for (Int_t ipos = 0; ipos < 5; ipos++) {
887 if(TESTBIT(status, ipos))
888 SETBIT(fClusterMasking, ipos + 3);
893 //___________________________________________________________________________
894 Float_t AliTRDcluster::GetDYcog(const Double_t *const, const Double_t *const)
898 // Used for clusters with more than 3 pads - where LUT not applicable
901 Double_t sum = fSignals[1]
908 // Go to 3 pad COG ????
910 fCenter = (0.0 * (-fSignals[1] + fSignals[5])
911 + (-fSignals[2] + fSignals[4])) / sum;
916 //___________________________________________________________________________
917 Float_t AliTRDcluster::GetDYlut(const Double_t *const, const Double_t *const)
920 // Calculates the cluster position using the lookup table.
921 // Method provided by Bogdan Vulpescu.
924 if(!fgLUT) FillLUT();
926 Double_t ampL = fSignals[2],
929 Int_t ilayer = AliTRDgeometry::GetLayer(fDetector);
932 Double_t xmin, xmax, xwid;
937 Double_t xMin[AliTRDgeometry::kNlayer] = {
938 0.006492, 0.006377, 0.006258, 0.006144, 0.006030, 0.005980
940 Double_t xMax[AliTRDgeometry::kNlayer] = {
941 0.960351, 0.965870, 0.970445, 0.974352, 0.977667, 0.996101
945 x = (ampL - ampR) / ampC;
948 else if (ampL < ampR) {
949 x = (ampR - ampL) / ampC;
955 xmin = xMin[ilayer] + 0.000005;
956 xmax = xMax[ilayer] - 0.000005;
957 xwid = (xmax - xmin) / 127.0;
959 if (x < xmin) fCenter = 0.0000;
960 else if (x > xmax) fCenter = side * 0.5000;
962 ix = (Int_t) ((x - xmin) / xwid);
963 fCenter = side * fgLUT[ilayer*fgkNlut+ix];
965 } else fCenter = 0.0;
970 //___________________________________________________________________________
971 Float_t AliTRDcluster::GetDYgauss(Double_t s2w, Double_t *const y1, Double_t *const y2)
974 // (Re)Calculate cluster position in the y direction in local chamber coordinates using all available information from tracking.
977 // s2 - sigma of gaussian parameterization (see bellow for the exact parameterization)
979 // xd - drift length (with respect to the anode wire) [cm]
980 // wt - omega*tau = tg(a_L)
982 // y1 and y2 - partial positions based on 2 pads clusters
983 // return y position of the cluster from all information
985 // Estimation of y coordinate is based on the gaussian approximation of the PRF. Thus one may
986 // calculate the y position knowing the signals q_i-1, q_i and q_i+1 in the 3 adiacent pads by:
988 // 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}}}}
990 // where W is the pad width, y_0 is the position of the center pad and s^2 is given by
992 // s^{2} = s^{2}_{0} + s^{2}_{diff} (x,B) + #frac{tg^{2}(#phi-#alpha_{L})*l^{2}}{12}
994 // with s_0 being the PRF for 0 drift and track incidence phi equal to the lorentz angle a_L and the diffusion term
995 // being described by:
997 // s_{diff} (x,B) = #frac{D_{L}#sqrt{x}}{1+#(){#omega#tau}^{2}}
999 // 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
1002 // Alex Bercuci <A.Bercuci@gsi.de>
1003 // Theodor Rascanu <trascanu@stud.uni-frankfurt.de>
1005 Double_t w1 = fSignals[2]*fSignals[2];
1006 Double_t w2 = fSignals[4]*fSignals[4];
1009 AliError("Missing side signals for cluster.");
1014 //Double_t s2w = s2/W/W;
1015 Float_t y1r = fSignals[2]>0 ? (-0.5 + s2w*TMath::Log(fSignals[3]/(Float_t)fSignals[2])) : 0.;
1016 Float_t y2r = fSignals[4]>0 ? (0.5 + s2w*TMath::Log(fSignals[4]/(Float_t)fSignals[3])) : 0.;
1021 return fCenter = (w1*y1r+w2*y2r)/w;
1026 //_____________________________________________________________________________
1027 void AliTRDcluster::FillLUT()
1033 // The lookup table from Bogdan
1034 Float_t lut[AliTRDgeometry::kNlayer][fgkNlut] = {
1036 0.0070, 0.0150, 0.0224, 0.0298, 0.0374, 0.0454, 0.0533, 0.0611,
1037 0.0684, 0.0755, 0.0827, 0.0900, 0.0975, 0.1049, 0.1120, 0.1187,
1038 0.1253, 0.1318, 0.1385, 0.1453, 0.1519, 0.1584, 0.1646, 0.1704,
1039 0.1762, 0.1821, 0.1879, 0.1938, 0.1996, 0.2053, 0.2108, 0.2160,
1040 0.2210, 0.2260, 0.2310, 0.2361, 0.2411, 0.2461, 0.2509, 0.2557,
1041 0.2602, 0.2646, 0.2689, 0.2732, 0.2774, 0.2816, 0.2859, 0.2901,
1042 0.2942, 0.2983, 0.3022, 0.3061, 0.3099, 0.3136, 0.3172, 0.3207,
1043 0.3242, 0.3278, 0.3312, 0.3347, 0.3382, 0.3416, 0.3450, 0.3483,
1044 0.3515, 0.3547, 0.3579, 0.3609, 0.3639, 0.3669, 0.3698, 0.3727,
1045 0.3756, 0.3785, 0.3813, 0.3842, 0.3870, 0.3898, 0.3926, 0.3952,
1046 0.3979, 0.4005, 0.4032, 0.4057, 0.4082, 0.4108, 0.4132, 0.4157,
1047 0.4181, 0.4205, 0.4228, 0.4252, 0.4275, 0.4299, 0.4322, 0.4345,
1048 0.4367, 0.4390, 0.4412, 0.4434, 0.4456, 0.4478, 0.4499, 0.4520,
1049 0.4541, 0.4562, 0.4583, 0.4603, 0.4623, 0.4643, 0.4663, 0.4683,
1050 0.4702, 0.4722, 0.4741, 0.4758, 0.4774, 0.4790, 0.4805, 0.4824,
1051 0.4844, 0.4863, 0.4883, 0.4902, 0.4921, 0.4940, 0.4959, 0.4978
1054 0.0072, 0.0156, 0.0235, 0.0313, 0.0394, 0.0478, 0.0561, 0.0642,
1055 0.0718, 0.0792, 0.0868, 0.0947, 0.1025, 0.1101, 0.1172, 0.1241,
1056 0.1309, 0.1378, 0.1449, 0.1518, 0.1586, 0.1650, 0.1710, 0.1770,
1057 0.1830, 0.1891, 0.1952, 0.2011, 0.2070, 0.2125, 0.2177, 0.2229,
1058 0.2280, 0.2332, 0.2383, 0.2435, 0.2484, 0.2533, 0.2581, 0.2627,
1059 0.2670, 0.2714, 0.2757, 0.2799, 0.2842, 0.2884, 0.2927, 0.2968,
1060 0.3008, 0.3048, 0.3086, 0.3123, 0.3159, 0.3195, 0.3231, 0.3266,
1061 0.3301, 0.3335, 0.3370, 0.3404, 0.3438, 0.3471, 0.3504, 0.3536,
1062 0.3567, 0.3598, 0.3628, 0.3657, 0.3686, 0.3715, 0.3744, 0.3772,
1063 0.3800, 0.3828, 0.3856, 0.3884, 0.3911, 0.3938, 0.3965, 0.3991,
1064 0.4016, 0.4042, 0.4067, 0.4092, 0.4116, 0.4140, 0.4164, 0.4187,
1065 0.4211, 0.4234, 0.4257, 0.4280, 0.4302, 0.4325, 0.4347, 0.4369,
1066 0.4391, 0.4413, 0.4434, 0.4456, 0.4477, 0.4497, 0.4518, 0.4538,
1067 0.4558, 0.4578, 0.4598, 0.4618, 0.4637, 0.4656, 0.4675, 0.4694,
1068 0.4713, 0.4732, 0.4750, 0.4766, 0.4781, 0.4797, 0.4813, 0.4832,
1069 0.4851, 0.4870, 0.4888, 0.4906, 0.4925, 0.4942, 0.4960, 0.4978
1072 0.0075, 0.0163, 0.0246, 0.0328, 0.0415, 0.0504, 0.0592, 0.0674,
1073 0.0753, 0.0832, 0.0914, 0.0996, 0.1077, 0.1154, 0.1225, 0.1296,
1074 0.1369, 0.1442, 0.1515, 0.1585, 0.1652, 0.1714, 0.1776, 0.1839,
1075 0.1902, 0.1965, 0.2025, 0.2085, 0.2141, 0.2194, 0.2247, 0.2299,
1076 0.2352, 0.2405, 0.2457, 0.2507, 0.2557, 0.2604, 0.2649, 0.2693,
1077 0.2737, 0.2780, 0.2823, 0.2867, 0.2909, 0.2951, 0.2992, 0.3033,
1078 0.3072, 0.3110, 0.3146, 0.3182, 0.3218, 0.3253, 0.3288, 0.3323,
1079 0.3357, 0.3392, 0.3426, 0.3459, 0.3492, 0.3524, 0.3555, 0.3586,
1080 0.3616, 0.3645, 0.3674, 0.3703, 0.3731, 0.3759, 0.3787, 0.3815,
1081 0.3843, 0.3870, 0.3897, 0.3925, 0.3950, 0.3976, 0.4002, 0.4027,
1082 0.4052, 0.4076, 0.4101, 0.4124, 0.4148, 0.4171, 0.4194, 0.4217,
1083 0.4239, 0.4262, 0.4284, 0.4306, 0.4328, 0.4350, 0.4371, 0.4393,
1084 0.4414, 0.4435, 0.4455, 0.4476, 0.4496, 0.4516, 0.4536, 0.4555,
1085 0.4575, 0.4594, 0.4613, 0.4632, 0.4650, 0.4669, 0.4687, 0.4705,
1086 0.4723, 0.4741, 0.4758, 0.4773, 0.4789, 0.4804, 0.4821, 0.4839,
1087 0.4857, 0.4875, 0.4893, 0.4910, 0.4928, 0.4945, 0.4961, 0.4978
1090 0.0078, 0.0171, 0.0258, 0.0345, 0.0438, 0.0532, 0.0624, 0.0708,
1091 0.0791, 0.0875, 0.0962, 0.1048, 0.1130, 0.1206, 0.1281, 0.1356,
1092 0.1432, 0.1508, 0.1582, 0.1651, 0.1716, 0.1780, 0.1845, 0.1910,
1093 0.1975, 0.2038, 0.2099, 0.2155, 0.2210, 0.2263, 0.2317, 0.2371,
1094 0.2425, 0.2477, 0.2528, 0.2578, 0.2626, 0.2671, 0.2715, 0.2759,
1095 0.2803, 0.2846, 0.2890, 0.2933, 0.2975, 0.3016, 0.3056, 0.3095,
1096 0.3132, 0.3168, 0.3204, 0.3239, 0.3274, 0.3309, 0.3344, 0.3378,
1097 0.3412, 0.3446, 0.3479, 0.3511, 0.3543, 0.3574, 0.3603, 0.3633,
1098 0.3662, 0.3690, 0.3718, 0.3747, 0.3774, 0.3802, 0.3829, 0.3857,
1099 0.3883, 0.3910, 0.3936, 0.3962, 0.3987, 0.4012, 0.4037, 0.4061,
1100 0.4085, 0.4109, 0.4132, 0.4155, 0.4177, 0.4200, 0.4222, 0.4244,
1101 0.4266, 0.4288, 0.4309, 0.4331, 0.4352, 0.4373, 0.4394, 0.4414,
1102 0.4435, 0.4455, 0.4475, 0.4494, 0.4514, 0.4533, 0.4552, 0.4571,
1103 0.4590, 0.4608, 0.4626, 0.4645, 0.4662, 0.4680, 0.4698, 0.4715,
1104 0.4733, 0.4750, 0.4766, 0.4781, 0.4796, 0.4812, 0.4829, 0.4846,
1105 0.4863, 0.4880, 0.4897, 0.4914, 0.4930, 0.4946, 0.4963, 0.4979
1108 0.0081, 0.0178, 0.0270, 0.0364, 0.0463, 0.0562, 0.0656, 0.0744,
1109 0.0831, 0.0921, 0.1013, 0.1102, 0.1183, 0.1261, 0.1339, 0.1419,
1110 0.1499, 0.1576, 0.1648, 0.1715, 0.1782, 0.1849, 0.1917, 0.1984,
1111 0.2048, 0.2110, 0.2167, 0.2223, 0.2278, 0.2333, 0.2389, 0.2444,
1112 0.2497, 0.2548, 0.2598, 0.2645, 0.2691, 0.2735, 0.2780, 0.2824,
1113 0.2868, 0.2912, 0.2955, 0.2997, 0.3038, 0.3078, 0.3116, 0.3152,
1114 0.3188, 0.3224, 0.3259, 0.3294, 0.3329, 0.3364, 0.3398, 0.3432,
1115 0.3465, 0.3497, 0.3529, 0.3561, 0.3591, 0.3620, 0.3649, 0.3677,
1116 0.3705, 0.3733, 0.3761, 0.3788, 0.3816, 0.3843, 0.3869, 0.3896,
1117 0.3922, 0.3948, 0.3973, 0.3998, 0.4022, 0.4047, 0.4070, 0.4094,
1118 0.4117, 0.4139, 0.4162, 0.4184, 0.4206, 0.4227, 0.4249, 0.4270,
1119 0.4291, 0.4313, 0.4334, 0.4354, 0.4375, 0.4395, 0.4415, 0.4435,
1120 0.4455, 0.4474, 0.4493, 0.4512, 0.4531, 0.4550, 0.4568, 0.4586,
1121 0.4604, 0.4622, 0.4639, 0.4657, 0.4674, 0.4691, 0.4708, 0.4725,
1122 0.4742, 0.4758, 0.4773, 0.4788, 0.4803, 0.4819, 0.4836, 0.4852,
1123 0.4869, 0.4885, 0.4901, 0.4917, 0.4933, 0.4948, 0.4964, 0.4979
1126 0.0085, 0.0189, 0.0288, 0.0389, 0.0497, 0.0603, 0.0699, 0.0792,
1127 0.0887, 0.0985, 0.1082, 0.1170, 0.1253, 0.1336, 0.1421, 0.1505,
1128 0.1587, 0.1662, 0.1733, 0.1803, 0.1874, 0.1945, 0.2014, 0.2081,
1129 0.2143, 0.2201, 0.2259, 0.2316, 0.2374, 0.2431, 0.2487, 0.2541,
1130 0.2593, 0.2642, 0.2689, 0.2735, 0.2781, 0.2826, 0.2872, 0.2917,
1131 0.2961, 0.3003, 0.3045, 0.3086, 0.3125, 0.3162, 0.3198, 0.3235,
1132 0.3270, 0.3306, 0.3342, 0.3377, 0.3411, 0.3446, 0.3479, 0.3511,
1133 0.3543, 0.3575, 0.3605, 0.3634, 0.3663, 0.3691, 0.3720, 0.3748,
1134 0.3775, 0.3803, 0.3830, 0.3857, 0.3884, 0.3911, 0.3937, 0.3962,
1135 0.3987, 0.4012, 0.4036, 0.4060, 0.4084, 0.4107, 0.4129, 0.4152,
1136 0.4174, 0.4196, 0.4218, 0.4239, 0.4261, 0.4282, 0.4303, 0.4324,
1137 0.4344, 0.4365, 0.4385, 0.4405, 0.4425, 0.4445, 0.4464, 0.4483,
1138 0.4502, 0.4521, 0.4539, 0.4558, 0.4576, 0.4593, 0.4611, 0.4629,
1139 0.4646, 0.4663, 0.4680, 0.4697, 0.4714, 0.4730, 0.4747, 0.4759,
1140 0.4769, 0.4780, 0.4790, 0.4800, 0.4811, 0.4827, 0.4843, 0.4859,
1141 0.4874, 0.4889, 0.4905, 0.4920, 0.4935, 0.4950, 0.4965, 0.4979
1145 if(!fgLUT) fgLUT = new Double_t[AliTRDgeometry::kNlayer*fgkNlut];
1147 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::kNlayer; ilayer++) {
1148 for (Int_t ilut = 0; ilut < fgkNlut; ilut++ ) {
1149 fgLUT[ilayer*fgkNlut+ilut] = lut[ilayer][ilut];