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 **************************************************************************/
19 ///////////////////////////////////////////////////////////////////////////////
23 ///////////////////////////////////////////////////////////////////////////////
28 #include "AliTRDcluster.h"
29 #include "AliTRDgeometry.h"
30 #include "AliTRDCommonParam.h"
32 ClassImp(AliTRDcluster)
34 const Int_t AliTRDcluster::fgkNlut = 128;
35 Double_t *AliTRDcluster::fgLUT = 0x0;
37 //___________________________________________________________________________
38 AliTRDcluster::AliTRDcluster()
51 // Default constructor
54 for (Int_t i = 0; i < 7; i++) {
60 //___________________________________________________________________________
61 AliTRDcluster::AliTRDcluster(Int_t det, UChar_t col, UChar_t row, UChar_t time, const Short_t *sig, UShort_t vid)
74 // Constructor for self constructing cluster. In this approach the information is inserted gradualy into the
75 // cluster and all dependencies are (re)calculated inside the cluster itself.
77 // A.Bercuci <A.Bercuci@gsi.de>
79 memcpy(&fSignals, sig, 7*sizeof(Short_t));
80 fQ = fSignals[2]+fSignals[3]+fSignals[4];
85 //___________________________________________________________________________
86 AliTRDcluster::AliTRDcluster(Int_t det, Float_t q
87 , Float_t *pos, Float_t *sig
88 , Int_t *tracks, Char_t npads, Short_t *signals
89 , UChar_t col, UChar_t row, UChar_t time
90 , Char_t timebin, Float_t center, UShort_t volid)
91 :AliCluster(volid,pos[0],pos[1],pos[2],sig[0],sig[1],0.0,0x0)
95 ,fLocalTimeBin(timebin)
106 for (Int_t i = 0; i < 7; i++) {
107 fSignals[i] = signals[i];
111 AddTrackIndex(tracks);
116 //_____________________________________________________________________________
117 AliTRDcluster::AliTRDcluster(const AliTRDcluster &c)
121 ,fPadTime(c.fPadTime)
122 ,fLocalTimeBin(c.fLocalTimeBin)
124 ,fClusterMasking(c.fClusterMasking)
125 ,fDetector(c.fDetector)
133 SetLabel(c.GetLabel(0),0);
134 SetLabel(c.GetLabel(1),1);
135 SetLabel(c.GetLabel(2),2);
139 AliCluster::SetSigmaY2(c.GetSigmaY2());
140 SetSigmaZ2(c.GetSigmaZ2());
142 for (Int_t i = 0; i < 7; i++) {
143 fSignals[i] = c.fSignals[i];
148 //_____________________________________________________________________________
149 void AliTRDcluster::AddTrackIndex(Int_t *track)
152 // Adds track index. Currently assumed that track is an array of
153 // size 9, and up to 3 track indexes are stored in fTracks[3].
154 // Indexes are sorted according to:
155 // 1) index of max number of appearances is stored first
156 // 2) if two or more indexes appear equal number of times, the lowest
157 // ones are stored first;
160 const Int_t kSize = 9;
161 Int_t entries[kSize][2];
169 for (i = 0; i < kSize; i++) {
174 for (k = 0; k < kSize; k++) {
181 while ((!indexAdded) && (j < kSize)) {
182 if ((entries[j][0] == index) ||
183 (entries[j][1] == 0)) {
184 entries[j][0] = index;
185 entries[j][1] = entries[j][1] + 1;
194 // Sort by number of appearances and index value
200 for (i = 0; i < (kSize - 1); i++) {
201 if ((entries[i][0] >= 0) &&
202 (entries[i+1][0] >= 0)) {
203 if ((entries[i][1] < entries[i+1][1]) ||
204 ((entries[i][1] == entries[i+1][1]) &&
205 (entries[i][0] > entries[i+1][0]))) {
206 tmp0 = entries[i][0];
207 tmp1 = entries[i][1];
208 entries[i][0] = entries[i+1][0];
209 entries[i][1] = entries[i+1][1];
210 entries[i+1][0] = tmp0;
211 entries[i+1][1] = tmp1;
219 for (i = 0; i < 3; i++) {
220 SetLabel(entries[i][0],i);
227 //_____________________________________________________________________________
228 void AliTRDcluster::Clear(Option_t *)
231 // Reset all member to the default value
240 for (Int_t i=0; i < 7; i++) fSignals[i]=0;
243 for (Int_t i = 0; i < 3; i++) SetLabel(0,i);
247 AliCluster::SetSigmaY2(0.);
252 //_____________________________________________________________________________
253 Float_t AliTRDcluster::GetSumS() const
256 // Returns the total charge from a not unfolded cluster
260 for (Int_t i = 0; i < 7; i++) {
268 //___________________________________________________________________________
269 Double_t AliTRDcluster::GetSX(Int_t tb, Double_t z)
271 // Returns the error parameterization in the radial direction for TRD clusters as function of
272 // the calibrated time bin (tb) and optionally distance to anode wire (z). By default (no z information)
273 // the mean value over all cluster to wire distance is chosen.
275 // There are several contributions which are entering in the definition of the radial errors of the clusters.
276 // Although an analytic defition should be possible for the moment this is not yet available but instead a
277 // numerical parameterization is provided (see AliTRDclusterResolution::ProcessSigma() for the calibration
278 // method). The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis.
281 //<img src="TRD/clusterXerrorDiff2D.gif">
284 // Here is a list of uncertainty components:
285 // - Time Response Function (TRF) - the major contribution. since TRF is also not symmetric (even if tail is
286 // cancelled) it also creates a systematic shift dependent on the charge distribution before and after the cluster.
287 // - longitudinal diffusion - increase the width of TRF and scales with square root of drift length
288 // - variation in the drift velocity within the drift cell
291 // A.Bercuci <A.Bercuci@gsi.de>
293 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
294 const Double_t sx[24][10]={
295 {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},
296 {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},
297 {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},
298 {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},
299 {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},
300 {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},
301 {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},
302 {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},
303 {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},
304 {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},
305 {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},
306 {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},
307 {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},
308 {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},
309 {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},
310 {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},
311 {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},
312 {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},
313 {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},
314 {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},
315 {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},
316 {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},
317 {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},
318 {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}
320 if(z>=0. && z<.25) return sx[tb][Int_t(z/.025)];
322 Double_t m = 0.; for(Int_t id=10; id--;) m+=sx[tb][id];
326 //___________________________________________________________________________
327 Double_t AliTRDcluster::GetSYdrift(Int_t tb, Int_t ly, Double_t/* z*/)
329 // Returns the error parameterization for TRD clusters as function of the drift length (here calibrated time bin tb)
330 // and optionally distance to anode wire (z) for the LUT r-phi cluster shape. By default (no z information) the largest
331 // value over all cluster to wire values is chosen.
333 // For the LUT method the dependence of s_y with x and d is obtained via a fit to the cluster to MC
334 // resolution. (see class AliTRDclusterResolution for more details). A normalization to the reference radial position
335 // x0 = 0.675 (tb=5 for ideal vd) is also applied (see GetSYprf()). The function is *NOT* calibration aware !
336 // The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis. A comparison
337 // with the GAUS parameterization is also given
339 // For the GAUS method the dependence of s_y with x is *analytic* and it is expressed by the relation.
341 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
343 // The result is displayed in the figure below as function of the drift time and compared with the LUT parameterization.
345 //<img src="TRD/clusterYerrorDiff2D.gif">
346 //<img src="TRD/clusterYerrorDiff1D.gif">
350 // A.Bercuci <A.Bercuci@gsi.de>
353 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
354 const Float_t lSy[6][24] = {
355 {75.7561, 0.0325, 0.0175, 0.0174, 0.0206, 0.0232,
356 0.0253, 0.0262, 0.0265, 0.0264, 0.0266, 0.0257,
357 0.0258, 0.0261, 0.0259, 0.0253, 0.0257, 0.0261,
358 0.0255, 0.0250, 0.0259, 0.0266, 0.0278, 0.0319
360 {49.2252, 0.0371, 0.0204, 0.0189, 0.0230, 0.0261,
361 0.0281, 0.0290, 0.0292, 0.0286, 0.0277, 0.0279,
362 0.0285, 0.0281, 0.0291, 0.0281, 0.0281, 0.0282,
363 0.0272, 0.0282, 0.0282, 0.0284, 0.0310, 0.0334
365 {55.1674, 0.0388, 0.0212, 0.0200, 0.0239, 0.0271,
366 0.0288, 0.0299, 0.0306, 0.0300, 0.0296, 0.0303,
367 0.0293, 0.0290, 0.0291, 0.0294, 0.0295, 0.0290,
368 0.0293, 0.0292, 0.0292, 0.0293, 0.0316, 0.0358
370 {45.1004, 0.0411, 0.0225, 0.0215, 0.0249, 0.0281,
371 0.0301, 0.0315, 0.0320, 0.0308, 0.0318, 0.0321,
372 0.0312, 0.0311, 0.0316, 0.0315, 0.0310, 0.0308,
373 0.0313, 0.0303, 0.0314, 0.0314, 0.0324, 0.0369
375 {43.8614, 0.0420, 0.0239, 0.0224, 0.0268, 0.0296,
376 0.0322, 0.0336, 0.0333, 0.0326, 0.0321, 0.0325,
377 0.0329, 0.0326, 0.0323, 0.0322, 0.0326, 0.0320,
378 0.0329, 0.0319, 0.0314, 0.0329, 0.0341, 0.0373
380 {40.5440, 0.0434, 0.0246, 0.0236, 0.0275, 0.0311,
381 0.0332, 0.0345, 0.0347, 0.0347, 0.0340, 0.0336,
382 0.0339, 0.0344, 0.0339, 0.0341, 0.0341, 0.0342,
383 0.0345, 0.0328, 0.0341, 0.0332, 0.0356, 0.0398
387 return TMath::Max(lSy[ly][tb]-0.0150, 0.0010);
389 /* const Double_t sy[24][10]={
390 {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},
391 {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},
392 {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},
393 {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},
394 {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},
395 {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},
396 {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},
397 {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},
398 {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},
399 {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},
400 {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},
401 {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},
402 {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},
403 {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},
404 {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},
405 {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},
406 {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},
407 {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},
408 {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},
409 {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},
410 {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},
411 {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},
412 {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},
413 {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}
415 if(z>=0. && z<.25) return sy[tb][Int_t(z/.025)] - sy[5][Int_t(z/.025)];
417 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];
422 //___________________________________________________________________________
423 Double_t AliTRDcluster::GetSYcharge(Float_t q)
425 // Parameterization of the r-phi resolution component due to cluster charge.
426 // The value is the offset from the nominal cluster resolution defined as the
427 // cluster resolution at average cluster charge (q0).
430 // #Delta #sigma_{y}(q) = a*(#frac{1}{q} - #frac{1}{q_{0}})
433 // The definition is *NOT* robust against gain fluctuations and thus two approaches are possible
434 // when residual miscalibration are available:
435 // - determine parameterization with a resolution matching those of the gain
436 // - define an analytic model which scales with the gain.
438 // For more details please see AliTRDclusterResolution::ProcessCharge()
441 //<img src="TRD/clusterQerror.gif">
445 // A.Bercuci <A.Bercuci@gsi.de>
447 const Float_t sq0inv = 0.019962; // [1/q0]
448 const Float_t sqb = 0.037328; // [cm]
450 return sqb*(1./q - sq0inv);
453 //___________________________________________________________________________
454 Double_t AliTRDcluster::GetSYprf(Int_t ly, Double_t center, Double_t s2)
456 // Parameterization of the cluster error in the r-phi direction due to charge sharing between
457 // adiacent pads. Should be identical to what is provided in the OCDB as PRF [TODO]
459 // The parameterization is obtained from fitting cluster resolution at phi=exb and |x-0.675|<0.225.
460 // For more details see AliTRDclusterResolution::ProcessCenter().
463 //<img src="TRD/clusterPRFerror.gif">
467 // A.Bercuci <A.Bercuci@gsi.de>
469 /* const Float_t scy[AliTRDgeometry::kNlayer][4] = {
470 {2.827e-02, 9.600e-04, 4.296e-01, 2.271e-02},
471 {2.952e-02,-2.198e-04, 4.146e-01, 2.339e-02},
472 {3.090e-02, 1.514e-03, 4.020e-01, 2.402e-02},
473 {3.260e-02,-2.037e-03, 3.946e-01, 2.509e-02},
474 {3.439e-02,-3.601e-04, 3.883e-01, 2.623e-02},
475 {3.510e-02, 2.066e-03, 3.651e-01, 2.588e-02},
477 const Float_t lPRF[] = {0.438, 0.403, 0.393, 0.382, 0.376, 0.345};
479 return s2*TMath::Gaus(center, 0., lPRF[ly]);
483 //___________________________________________________________________________
484 Double_t AliTRDcluster::GetXcorr(Int_t tb, Double_t z)
486 // Drift length correction [cm]. Due to variation of mean drift velocity along the drift region
487 // from nominal vd at xd->infinity. For drift velocity determination based on tracking information
488 // the correction should be negligible.
490 //<img src="TRD/clusterXcorr.gif">
492 // TODO to be parametrized in term of drift velocity at infinite drift length
493 // A.Bercuci (Mar 28 2009)
495 if(tb<0 || tb>=24) return 0.;
497 const Double_t dx[24][nd]={
498 {+1.747e-01,+3.195e-01,+1.641e-01,+1.607e-01,+6.002e-01},
499 {+5.468e-02,+5.760e-02,+6.365e-02,+8.003e-02,+1.067e-01},
500 {-6.327e-02,-6.339e-02,-6.423e-02,-6.900e-02,-7.949e-02},
501 {-1.417e-01,-1.424e-01,-1.450e-01,-1.465e-01,-1.514e-01},
502 {-1.637e-01,-1.619e-01,-1.622e-01,-1.613e-01,-1.648e-01},
503 {-1.386e-01,-1.334e-01,-1.261e-01,-1.276e-01,-1.314e-01},
504 {-8.799e-02,-8.299e-02,-7.861e-02,-8.038e-02,-8.436e-02},
505 {-5.139e-02,-4.849e-02,-4.641e-02,-4.965e-02,-5.286e-02},
506 {-2.927e-02,-2.773e-02,-2.807e-02,-3.021e-02,-3.378e-02},
507 {-1.380e-02,-1.229e-02,-1.335e-02,-1.547e-02,-1.984e-02},
508 {-4.168e-03,-4.601e-03,-5.462e-03,-8.164e-03,-1.035e-02},
509 {+2.044e-03,+1.889e-03,+9.603e-04,-1.342e-03,-3.736e-03},
510 {+3.568e-03,+3.581e-03,+2.391e-03,+2.942e-05,-1.585e-03},
511 {+4.403e-03,+4.571e-03,+3.509e-03,+8.703e-04,-1.425e-03},
512 {+4.941e-03,+4.808e-03,+3.284e-03,+1.105e-03,-1.208e-03},
513 {+5.124e-03,+5.022e-03,+4.305e-03,+2.023e-03,-1.145e-03},
514 {+4.882e-03,+4.008e-03,+3.408e-03,+7.886e-04,-1.356e-03},
515 {+3.852e-03,+3.539e-03,+2.057e-03,+1.670e-04,-1.993e-03},
516 {+2.154e-03,+2.111e-03,+5.723e-04,-1.254e-03,-3.256e-03},
517 {+1.755e-03,+2.101e-03,+9.516e-04,-1.649e-03,-3.394e-03},
518 {+1.617e-03,+1.662e-03,+4.169e-04,-9.843e-04,-4.309e-03},
519 {-9.204e-03,-9.069e-03,-1.182e-02,-1.458e-02,-1.880e-02},
520 {-6.727e-02,-6.820e-02,-6.804e-02,-7.134e-02,-7.615e-02},
521 {-1.802e-01,-1.733e-01,-1.633e-01,-1.601e-01,-1.632e-01}
523 // const Double_t dx[24][nd]={
524 // {+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},
525 // {-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},
526 // {-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},
527 // {-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},
528 // {-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},
529 // {-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},
530 // {-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},
531 // {-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},
532 // {+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},
533 // {+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},
534 // {+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},
535 // {+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},
536 // {+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},
537 // {+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},
538 // {+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},
539 // {+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},
540 // {+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},
541 // {+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},
542 // {+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},
543 // {+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},
544 // {+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},
545 // {+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},
546 // {+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},
547 // {+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}
549 if(z>=0. && z<.25) return dx[tb][Int_t(z/.025)];
551 Double_t m = 0.; for(Int_t id=nd; id--;) m+=dx[tb][id];
555 //___________________________________________________________________________
556 Double_t AliTRDcluster::GetYcorr(Int_t ly, Float_t y)
558 // PRF correction for the LUT r-phi cluster shape.
560 //<img src="TRD/clusterYcorr.gif">
563 const Float_t cy[AliTRDgeometry::kNlayer][3] = {
564 { 4.014e-04, 8.605e-03, -6.880e+00},
565 {-3.061e-04, 9.663e-03, -6.789e+00},
566 { 1.124e-03, 1.105e-02, -6.825e+00},
567 {-1.527e-03, 1.231e-02, -6.777e+00},
568 { 2.150e-03, 1.387e-02, -6.783e+00},
569 {-1.296e-03, 1.486e-02, -6.825e+00}
572 return cy[ly][0] + cy[ly][1] * TMath::Sin(cy[ly][2] * y);
575 //_____________________________________________________________________________
576 Float_t AliTRDcluster::GetXloc(Double_t t0, Double_t vd, Double_t *const /*q*/, Double_t *const /*xq*/, Double_t /*z*/)
579 // (Re)Calculate cluster position in the x direction in local chamber coordinates (with respect to the anode wire
580 // position) using all available information from tracking.
582 // t0 - calibration aware trigger delay [us]
583 // vd - drift velocity in the region of the cluster [cm/us]
584 // z - distance to the anode wire [cm]. By default average over the drift cell width.
585 // q & xq - array of charges and cluster positions from previous clusters in the tracklet [a.u.]
587 // return x position of the cluster with respect to the
588 // anode wire using all tracking information
590 // The estimation of the radial position is based on calculating the drift time and the drift velocity at the point of
591 // estimation. The drift time can be estimated according to the expression:
593 // t_{drift} = t_{bin} - t_{0} - t_{cause}(x) - t_{TC}(q_{i-1}, q_{i-2}, ...)
595 // where t_0 is the delay of the trigger signal. t_cause is the causality delay between ionisation electrons hitting
596 // the anode and the registration of maximum signal by the electronics - it is due to the rising time of the TRF
597 // A second order correction here comes from the fact that the time spreading of charge at anode is the convolution of
598 // TRF with the diffusion and thus cross-talk between clusters before and after local clusters changes with drift length.
599 // t_TC is the residual charge from previous (in time) clusters due to residual tails after tail cancellation.
600 // This tends to push cluster forward and depends on the magnitude of their charge.
602 // The drift velocity varies with the drift length (and distance to anode wire) as described by cell structure simulation.
603 // Thus one, in principle, can calculate iteratively the drift length from the expression:
605 // x = t_{drift}(x)*v_{drift}(x)
607 // In practice we use a numerical approach (AliTRDcluster::GetXcorr()) to correct for anisochronity obtained from MC
608 // comparison (see AliTRDclusterResolution::ProcessSigma()). Also the calibration of 0 approximation (no x dependence)
609 // for t_cause is obtained from MC comparisons and impossible to disentangle in real life from trigger delay.
612 // Alex Bercuci <A.Bercuci@gsi.de>
615 AliTRDCommonParam *cp = AliTRDCommonParam::Instance();
616 Double_t fFreq = cp->GetSamplingFrequency();
618 //drift time corresponding to the center of the time bin
619 Double_t td = (fPadTime + .5)/fFreq; // [us]
622 // time bin corrected for t0
623 // Bug in TMath::Nint().root-5.23.02
624 // TMath::Nint(3.5) = 4 and TMath::Nint(4.5) = 4
625 Double_t tmp = td*fFreq;
626 fLocalTimeBin = Char_t(TMath::Floor(tmp));
627 if(tmp-fLocalTimeBin > .5) fLocalTimeBin++;
628 if(td < .2) return 0.;
629 // TRF rising time (fitted)
630 // It should be absorbed by the t0. For the moment t0 is 0 for simulations.
631 // A.Bercuci (Mar 26 2009)
634 // apply fitted correction
635 Float_t x = td*vd + GetXcorr(fLocalTimeBin);
636 if(x>0.&&x<.5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()) SetInChamber();
641 // calculate radial posion of clusters in the drift region
643 // invert drift time function
644 Double_t xM= AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght(),
645 x = vd*td + .5*AliTRDgeometry::CamHght(),
646 t = cp->TimeStruct(vd, x, z), dx1=0.,dx2;
647 while(TMath::Abs(td-t)>1.e-4){ // convergence on 100ps
649 if(TMath::Abs(TMath::Abs(dx2)-TMath::Abs(dx1))<1.e-6){
654 if(x<0. || x>xM) return 0.;
655 t = cp->TimeStruct(vd, x, z);
659 return x-.5*AliTRDgeometry::CamHght();
663 //_____________________________________________________________________________
664 Float_t AliTRDcluster::GetYloc(Double_t y0, Double_t s2, Double_t W, Double_t *const y1, Double_t *const y2)
666 // Calculate, in tracking cooordinate system, the r-phi offset the cluster from the middle of the center pad. Three possible methods are implemented:
667 // - Center of Gravity (COG) see AliTRDcluster::GetDYcog()
668 // - Look-up Table (LUT) see AliTRDcluster::GetDYlut()
669 // - Gauss shape (GAUS) see AliTRDcluster::GetDYgauss()
670 // In addition for the case of LUT method position corrections are also applied (see AliTRDcluster::GetYcorr())
672 if(IsRPhiMethod(kCOG)) GetDYcog();
673 else if(IsRPhiMethod(kLUT)) GetDYlut();
674 else if(IsRPhiMethod(kGAUS)) GetDYgauss(s2/W/W, y1, y2);
680 return y0+fCenter*W+(IsRPhiMethod(kLUT)?GetYcorr(AliTRDgeometry::GetLayer(fDetector), fCenter):0.);
683 //___________________________________________________________________________
684 void AliTRDcluster::SetSigmaY2(Float_t s2, Float_t dt, Float_t exb, Float_t x, Float_t z, Float_t tgp)
686 // Set variance of TRD cluster in the r-phi direction for each method.
688 // - s2 - variance due to PRF width for the case of Gauss model. Replaced by parameterization in case of LUT.
689 // - dt - transversal diffusion coeficient
690 // - exb - tg of lorentz angle
691 // - x - drift length - with respect to the anode wire
692 // - z - offset from the anode wire
693 // - tgp - local tangent of the track momentum azimuthal angle
695 // The ingredients from which the error is computed are:
696 // - PRF (charge sharing on adjacent pads) - see AliTRDcluster::GetSYprf()
697 // - diffusion (dependence with drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSYdrift()
698 // - charge of the cluster (complex dependence on gain and tail cancellation) - see AliTRDcluster::GetSYcharge()
699 // - lorentz angle (dependence on the drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSX()
700 // - track angle (superposition of charges on the anode wire) - see AliTRDseedV1::Fit()
701 // - projection of radial(x) error on r-phi due to fixed value assumed in tracking for x - see AliTRDseedV1::Fit()
703 // The last 2 contributions to cluster error can be estimated only during tracking when the track angle
704 // is known (tgp). For this reason the errors (and optional position) of TRD clusters are recalculated during
705 // tracking and thus clusters attached to tracks might differ from bare clusters.
707 // Taking into account all contributions one can write the the TRD cluster error parameterization as:
709 // #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
711 // From this formula one can deduce a that the simplest calibration method for PRF and diffusion contributions is
712 // by measuring resolution at B=0T and phi=0. To disentangle further the two remaining contributions one has
713 // to represent s2 as a function of drift length.
715 // In the gaussian model the diffusion contribution can be expressed as:
717 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
719 // thus resulting the PRF contribution. For the case of the LUT model both contributions have to be determined from
720 // the fit (see AliTRDclusterResolution::ProcessCenter() for details).
723 // A.Bercuci <A.Bercuci@gsi.de>
725 Float_t sigmaY2 = 0.;
726 Int_t ly = AliTRDgeometry::GetLayer(fDetector);
727 if(IsRPhiMethod(kCOG)) sigmaY2 = 4.e-4;
728 else if(IsRPhiMethod(kLUT)){
729 Float_t sd = GetSYdrift(fLocalTimeBin, ly, z); //printf("drift[%6.2f] ", 1.e4*sd);
730 sigmaY2 = GetSYprf(ly, fCenter, sd); //printf("PRF[%6.2f] ", 1.e4*sigmaY2);
731 // add charge contribution TODO scale with respect to s2
732 sigmaY2+= GetSYcharge(TMath::Abs(fQ)); //printf("Q[%6.2f] ", 1.e4*sigmaY2);
733 sigmaY2 = TMath::Max(sigmaY2, Float_t(0.0010)); //!! protection
735 } else if(IsRPhiMethod(kGAUS)){
738 // Diffusion contribution
739 Double_t sD2 = dt/(1.+exb); sD2 *= sD2; sD2 *= x;
741 // add charge contribution TODO scale with respect to s2
742 //sigmaY2+= GetSYcharge(TMath::Abs(fQ));
745 // store tg^2(phi-a_L) and tg^2(a_L)
746 Double_t tgg = (tgp-exb)/(1.+tgp*exb); tgg *= tgg;
747 Double_t exb2= exb*exb;
749 // Lorentz angle shift contribution
750 Float_t sx = GetSX(fLocalTimeBin, z); sx*=sx;
751 sigmaY2+= exb2*sx; //printf("Al[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
753 // Radial contribution due to not measuring x in Kalman model
754 sigmaY2+= tgg*sx; //printf("x[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
756 // Track angle contribution
757 sigmaY2+= tgg*x*x*exb2/12.; //printf("angle[%6.2f]\n", 1.e4*TMath::Sqrt(sigmaY2));
759 AliCluster::SetSigmaY2(sigmaY2);
762 //_____________________________________________________________________________
763 Bool_t AliTRDcluster::IsEqual(const TObject *o) const
766 // Compare relevant information of this cluster with another one
769 const AliTRDcluster *inCluster = dynamic_cast<const AliTRDcluster*>(o);
770 if (!o || !inCluster) return kFALSE;
772 if ( AliCluster::GetX() != inCluster->GetX() ) return kFALSE;
773 if ( AliCluster::GetY() != inCluster->GetY() ) return kFALSE;
774 if ( AliCluster::GetZ() != inCluster->GetZ() ) return kFALSE;
775 if ( fQ != inCluster->fQ ) return kFALSE;
776 if ( fDetector != inCluster->fDetector ) return kFALSE;
777 if ( fPadCol != inCluster->fPadCol ) return kFALSE;
778 if ( fPadRow != inCluster->fPadRow ) return kFALSE;
779 if ( fPadTime != inCluster->fPadTime ) return kFALSE;
780 if ( fClusterMasking != inCluster->fClusterMasking ) return kFALSE;
781 if ( IsInChamber() != inCluster->IsInChamber() ) return kFALSE;
782 if ( IsShared() != inCluster->IsShared() ) return kFALSE;
783 if ( IsUsed() != inCluster->IsUsed() ) return kFALSE;
788 //_____________________________________________________________________________
789 void AliTRDcluster::Print(Option_t *o) const
791 AliInfo(Form("Det[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]",
792 fDetector, GetX(), GetY(), GetZ(), fQ,
793 IsInChamber() ? 'y' : 'n',
794 IsUsed() ? 'y' : 'n',
795 IsShared() ? 'y' : 'n',
796 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
799 if(strcmp(o, "a")!=0) return;
800 AliInfo(Form("LChC[c(%3d) r(%2d) t(%2d)] t-t0[%2d] Npad[%d] cen[%5.3f] mask[%d]", fPadCol, fPadRow, fPadTime, fLocalTimeBin, fNPads, fCenter, fClusterMasking));
801 AliInfo(Form("Signals[%3d %3d %3d %3d %3d %3d %3d]", fSignals[0], fSignals[1], fSignals[2], fSignals[3], fSignals[4], fSignals[5], fSignals[6]));
805 //_____________________________________________________________________________
806 void AliTRDcluster::SetPadMaskedPosition(UChar_t position)
809 // store the pad corruption position code
811 // Code: 1 = left cluster
812 // 2 = middle cluster;
815 for(Int_t ipos = 0; ipos < 3; ipos++)
816 if(TESTBIT(position, ipos))
817 SETBIT(fClusterMasking, ipos);
820 //_____________________________________________________________________________
821 void AliTRDcluster::SetPadMaskedStatus(UChar_t status)
824 // store the status of the corrupted pad
829 // 32 = Not Connected
830 for(Int_t ipos = 0; ipos < 5; ipos++)
831 if(TESTBIT(status, ipos))
832 SETBIT(fClusterMasking, ipos + 3);
835 //___________________________________________________________________________
836 Float_t AliTRDcluster::GetDYcog(Double_t *const, Double_t *const)
840 // Used for clusters with more than 3 pads - where LUT not applicable
842 Double_t sum = fSignals[1]
849 // Go to 3 pad COG ????
851 fCenter = (0.0 * (-fSignals[1] + fSignals[5])
852 + (-fSignals[2] + fSignals[4])) / sum;
857 //___________________________________________________________________________
858 Float_t AliTRDcluster::GetDYlut(Double_t *const, Double_t *const)
861 // Calculates the cluster position using the lookup table.
862 // Method provided by Bogdan Vulpescu.
865 if(!fgLUT) FillLUT();
867 Double_t ampL = fSignals[2],
870 Int_t ilayer = AliTRDgeometry::GetLayer(fDetector);
873 Double_t xmin, xmax, xwid;
878 Double_t xMin[AliTRDgeometry::kNlayer] = {
879 0.006492, 0.006377, 0.006258, 0.006144, 0.006030, 0.005980
881 Double_t xMax[AliTRDgeometry::kNlayer] = {
882 0.960351, 0.965870, 0.970445, 0.974352, 0.977667, 0.996101
886 x = (ampL - ampR) / ampC;
889 else if (ampL < ampR) {
890 x = (ampR - ampL) / ampC;
896 xmin = xMin[ilayer] + 0.000005;
897 xmax = xMax[ilayer] - 0.000005;
898 xwid = (xmax - xmin) / 127.0;
900 if (x < xmin) fCenter = 0.0000;
901 else if (x > xmax) fCenter = side * 0.5000;
903 ix = (Int_t) ((x - xmin) / xwid);
904 fCenter = side * fgLUT[ilayer*fgkNlut+ix];
906 } else fCenter = 0.0;
911 //___________________________________________________________________________
912 Float_t AliTRDcluster::GetDYgauss(Double_t s2w, Double_t *const y1, Double_t *const y2)
915 // (Re)Calculate cluster position in the y direction in local chamber coordinates using all available information from tracking.
918 // s2 - sigma of gaussian parameterization (see bellow for the exact parameterization)
920 // xd - drift length (with respect to the anode wire) [cm]
921 // wt - omega*tau = tg(a_L)
923 // y1 and y2 - partial positions based on 2 pads clusters
924 // return y position of the cluster from all information
926 // Estimation of y coordinate is based on the gaussian approximation of the PRF. Thus one may
927 // calculate the y position knowing the signals q_i-1, q_i and q_i+1 in the 3 adiacent pads by:
929 // 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}}}}
931 // where W is the pad width, y_0 is the position of the center pad and s^2 is given by
933 // s^{2} = s^{2}_{0} + s^{2}_{diff} (x,B) + #frac{tg^{2}(#phi-#alpha_{L})*l^{2}}{12}
935 // with s_0 being the PRF for 0 drift and track incidence phi equal to the lorentz angle a_L and the diffusion term
936 // being described by:
938 // s_{diff} (x,B) = #frac{D_{L}#sqrt{x}}{1+#(){#omega#tau}^{2}}
940 // 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
943 // Alex Bercuci <A.Bercuci@gsi.de>
944 // Theodor Rascanu <trascanu@stud.uni-frankfurt.de>
946 Double_t w1 = fSignals[2]*fSignals[2];
947 Double_t w2 = fSignals[4]*fSignals[4];
950 AliError("Missing side signals for cluster.");
955 //Double_t s2w = s2/W/W;
956 Float_t y1r = fSignals[2]>0 ? (-0.5 + s2w*TMath::Log(fSignals[3]/(Float_t)fSignals[2])) : 0.;
957 Float_t y2r = fSignals[4]>0 ? (0.5 + s2w*TMath::Log(fSignals[4]/(Float_t)fSignals[3])) : 0.;
962 return fCenter = (w1*y1r+w2*y2r)/w;
967 //_____________________________________________________________________________
968 void AliTRDcluster::FillLUT()
974 // The lookup table from Bogdan
975 Float_t lut[AliTRDgeometry::kNlayer][fgkNlut] = {
977 0.0070, 0.0150, 0.0224, 0.0298, 0.0374, 0.0454, 0.0533, 0.0611,
978 0.0684, 0.0755, 0.0827, 0.0900, 0.0975, 0.1049, 0.1120, 0.1187,
979 0.1253, 0.1318, 0.1385, 0.1453, 0.1519, 0.1584, 0.1646, 0.1704,
980 0.1762, 0.1821, 0.1879, 0.1938, 0.1996, 0.2053, 0.2108, 0.2160,
981 0.2210, 0.2260, 0.2310, 0.2361, 0.2411, 0.2461, 0.2509, 0.2557,
982 0.2602, 0.2646, 0.2689, 0.2732, 0.2774, 0.2816, 0.2859, 0.2901,
983 0.2942, 0.2983, 0.3022, 0.3061, 0.3099, 0.3136, 0.3172, 0.3207,
984 0.3242, 0.3278, 0.3312, 0.3347, 0.3382, 0.3416, 0.3450, 0.3483,
985 0.3515, 0.3547, 0.3579, 0.3609, 0.3639, 0.3669, 0.3698, 0.3727,
986 0.3756, 0.3785, 0.3813, 0.3842, 0.3870, 0.3898, 0.3926, 0.3952,
987 0.3979, 0.4005, 0.4032, 0.4057, 0.4082, 0.4108, 0.4132, 0.4157,
988 0.4181, 0.4205, 0.4228, 0.4252, 0.4275, 0.4299, 0.4322, 0.4345,
989 0.4367, 0.4390, 0.4412, 0.4434, 0.4456, 0.4478, 0.4499, 0.4520,
990 0.4541, 0.4562, 0.4583, 0.4603, 0.4623, 0.4643, 0.4663, 0.4683,
991 0.4702, 0.4722, 0.4741, 0.4758, 0.4774, 0.4790, 0.4805, 0.4824,
992 0.4844, 0.4863, 0.4883, 0.4902, 0.4921, 0.4940, 0.4959, 0.4978
995 0.0072, 0.0156, 0.0235, 0.0313, 0.0394, 0.0478, 0.0561, 0.0642,
996 0.0718, 0.0792, 0.0868, 0.0947, 0.1025, 0.1101, 0.1172, 0.1241,
997 0.1309, 0.1378, 0.1449, 0.1518, 0.1586, 0.1650, 0.1710, 0.1770,
998 0.1830, 0.1891, 0.1952, 0.2011, 0.2070, 0.2125, 0.2177, 0.2229,
999 0.2280, 0.2332, 0.2383, 0.2435, 0.2484, 0.2533, 0.2581, 0.2627,
1000 0.2670, 0.2714, 0.2757, 0.2799, 0.2842, 0.2884, 0.2927, 0.2968,
1001 0.3008, 0.3048, 0.3086, 0.3123, 0.3159, 0.3195, 0.3231, 0.3266,
1002 0.3301, 0.3335, 0.3370, 0.3404, 0.3438, 0.3471, 0.3504, 0.3536,
1003 0.3567, 0.3598, 0.3628, 0.3657, 0.3686, 0.3715, 0.3744, 0.3772,
1004 0.3800, 0.3828, 0.3856, 0.3884, 0.3911, 0.3938, 0.3965, 0.3991,
1005 0.4016, 0.4042, 0.4067, 0.4092, 0.4116, 0.4140, 0.4164, 0.4187,
1006 0.4211, 0.4234, 0.4257, 0.4280, 0.4302, 0.4325, 0.4347, 0.4369,
1007 0.4391, 0.4413, 0.4434, 0.4456, 0.4477, 0.4497, 0.4518, 0.4538,
1008 0.4558, 0.4578, 0.4598, 0.4618, 0.4637, 0.4656, 0.4675, 0.4694,
1009 0.4713, 0.4732, 0.4750, 0.4766, 0.4781, 0.4797, 0.4813, 0.4832,
1010 0.4851, 0.4870, 0.4888, 0.4906, 0.4925, 0.4942, 0.4960, 0.4978
1013 0.0075, 0.0163, 0.0246, 0.0328, 0.0415, 0.0504, 0.0592, 0.0674,
1014 0.0753, 0.0832, 0.0914, 0.0996, 0.1077, 0.1154, 0.1225, 0.1296,
1015 0.1369, 0.1442, 0.1515, 0.1585, 0.1652, 0.1714, 0.1776, 0.1839,
1016 0.1902, 0.1965, 0.2025, 0.2085, 0.2141, 0.2194, 0.2247, 0.2299,
1017 0.2352, 0.2405, 0.2457, 0.2507, 0.2557, 0.2604, 0.2649, 0.2693,
1018 0.2737, 0.2780, 0.2823, 0.2867, 0.2909, 0.2951, 0.2992, 0.3033,
1019 0.3072, 0.3110, 0.3146, 0.3182, 0.3218, 0.3253, 0.3288, 0.3323,
1020 0.3357, 0.3392, 0.3426, 0.3459, 0.3492, 0.3524, 0.3555, 0.3586,
1021 0.3616, 0.3645, 0.3674, 0.3703, 0.3731, 0.3759, 0.3787, 0.3815,
1022 0.3843, 0.3870, 0.3897, 0.3925, 0.3950, 0.3976, 0.4002, 0.4027,
1023 0.4052, 0.4076, 0.4101, 0.4124, 0.4148, 0.4171, 0.4194, 0.4217,
1024 0.4239, 0.4262, 0.4284, 0.4306, 0.4328, 0.4350, 0.4371, 0.4393,
1025 0.4414, 0.4435, 0.4455, 0.4476, 0.4496, 0.4516, 0.4536, 0.4555,
1026 0.4575, 0.4594, 0.4613, 0.4632, 0.4650, 0.4669, 0.4687, 0.4705,
1027 0.4723, 0.4741, 0.4758, 0.4773, 0.4789, 0.4804, 0.4821, 0.4839,
1028 0.4857, 0.4875, 0.4893, 0.4910, 0.4928, 0.4945, 0.4961, 0.4978
1031 0.0078, 0.0171, 0.0258, 0.0345, 0.0438, 0.0532, 0.0624, 0.0708,
1032 0.0791, 0.0875, 0.0962, 0.1048, 0.1130, 0.1206, 0.1281, 0.1356,
1033 0.1432, 0.1508, 0.1582, 0.1651, 0.1716, 0.1780, 0.1845, 0.1910,
1034 0.1975, 0.2038, 0.2099, 0.2155, 0.2210, 0.2263, 0.2317, 0.2371,
1035 0.2425, 0.2477, 0.2528, 0.2578, 0.2626, 0.2671, 0.2715, 0.2759,
1036 0.2803, 0.2846, 0.2890, 0.2933, 0.2975, 0.3016, 0.3056, 0.3095,
1037 0.3132, 0.3168, 0.3204, 0.3239, 0.3274, 0.3309, 0.3344, 0.3378,
1038 0.3412, 0.3446, 0.3479, 0.3511, 0.3543, 0.3574, 0.3603, 0.3633,
1039 0.3662, 0.3690, 0.3718, 0.3747, 0.3774, 0.3802, 0.3829, 0.3857,
1040 0.3883, 0.3910, 0.3936, 0.3962, 0.3987, 0.4012, 0.4037, 0.4061,
1041 0.4085, 0.4109, 0.4132, 0.4155, 0.4177, 0.4200, 0.4222, 0.4244,
1042 0.4266, 0.4288, 0.4309, 0.4331, 0.4352, 0.4373, 0.4394, 0.4414,
1043 0.4435, 0.4455, 0.4475, 0.4494, 0.4514, 0.4533, 0.4552, 0.4571,
1044 0.4590, 0.4608, 0.4626, 0.4645, 0.4662, 0.4680, 0.4698, 0.4715,
1045 0.4733, 0.4750, 0.4766, 0.4781, 0.4796, 0.4812, 0.4829, 0.4846,
1046 0.4863, 0.4880, 0.4897, 0.4914, 0.4930, 0.4946, 0.4963, 0.4979
1049 0.0081, 0.0178, 0.0270, 0.0364, 0.0463, 0.0562, 0.0656, 0.0744,
1050 0.0831, 0.0921, 0.1013, 0.1102, 0.1183, 0.1261, 0.1339, 0.1419,
1051 0.1499, 0.1576, 0.1648, 0.1715, 0.1782, 0.1849, 0.1917, 0.1984,
1052 0.2048, 0.2110, 0.2167, 0.2223, 0.2278, 0.2333, 0.2389, 0.2444,
1053 0.2497, 0.2548, 0.2598, 0.2645, 0.2691, 0.2735, 0.2780, 0.2824,
1054 0.2868, 0.2912, 0.2955, 0.2997, 0.3038, 0.3078, 0.3116, 0.3152,
1055 0.3188, 0.3224, 0.3259, 0.3294, 0.3329, 0.3364, 0.3398, 0.3432,
1056 0.3465, 0.3497, 0.3529, 0.3561, 0.3591, 0.3620, 0.3649, 0.3677,
1057 0.3705, 0.3733, 0.3761, 0.3788, 0.3816, 0.3843, 0.3869, 0.3896,
1058 0.3922, 0.3948, 0.3973, 0.3998, 0.4022, 0.4047, 0.4070, 0.4094,
1059 0.4117, 0.4139, 0.4162, 0.4184, 0.4206, 0.4227, 0.4249, 0.4270,
1060 0.4291, 0.4313, 0.4334, 0.4354, 0.4375, 0.4395, 0.4415, 0.4435,
1061 0.4455, 0.4474, 0.4493, 0.4512, 0.4531, 0.4550, 0.4568, 0.4586,
1062 0.4604, 0.4622, 0.4639, 0.4657, 0.4674, 0.4691, 0.4708, 0.4725,
1063 0.4742, 0.4758, 0.4773, 0.4788, 0.4803, 0.4819, 0.4836, 0.4852,
1064 0.4869, 0.4885, 0.4901, 0.4917, 0.4933, 0.4948, 0.4964, 0.4979
1067 0.0085, 0.0189, 0.0288, 0.0389, 0.0497, 0.0603, 0.0699, 0.0792,
1068 0.0887, 0.0985, 0.1082, 0.1170, 0.1253, 0.1336, 0.1421, 0.1505,
1069 0.1587, 0.1662, 0.1733, 0.1803, 0.1874, 0.1945, 0.2014, 0.2081,
1070 0.2143, 0.2201, 0.2259, 0.2316, 0.2374, 0.2431, 0.2487, 0.2541,
1071 0.2593, 0.2642, 0.2689, 0.2735, 0.2781, 0.2826, 0.2872, 0.2917,
1072 0.2961, 0.3003, 0.3045, 0.3086, 0.3125, 0.3162, 0.3198, 0.3235,
1073 0.3270, 0.3306, 0.3342, 0.3377, 0.3411, 0.3446, 0.3479, 0.3511,
1074 0.3543, 0.3575, 0.3605, 0.3634, 0.3663, 0.3691, 0.3720, 0.3748,
1075 0.3775, 0.3803, 0.3830, 0.3857, 0.3884, 0.3911, 0.3937, 0.3962,
1076 0.3987, 0.4012, 0.4036, 0.4060, 0.4084, 0.4107, 0.4129, 0.4152,
1077 0.4174, 0.4196, 0.4218, 0.4239, 0.4261, 0.4282, 0.4303, 0.4324,
1078 0.4344, 0.4365, 0.4385, 0.4405, 0.4425, 0.4445, 0.4464, 0.4483,
1079 0.4502, 0.4521, 0.4539, 0.4558, 0.4576, 0.4593, 0.4611, 0.4629,
1080 0.4646, 0.4663, 0.4680, 0.4697, 0.4714, 0.4730, 0.4747, 0.4759,
1081 0.4769, 0.4780, 0.4790, 0.4800, 0.4811, 0.4827, 0.4843, 0.4859,
1082 0.4874, 0.4889, 0.4905, 0.4920, 0.4935, 0.4950, 0.4965, 0.4979
1086 if(!fgLUT) fgLUT = new Double_t[AliTRDgeometry::kNlayer*fgkNlut];
1088 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::kNlayer; ilayer++) {
1089 for (Int_t ilut = 0; ilut < fgkNlut; ilut++ ) {
1090 fgLUT[ilayer*fgkNlut+ilut] = lut[ilayer][ilut];