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 ///////////////////////////////////////////////////////////////////////////////
27 #include "AliTRDcluster.h"
28 #include "AliTRDgeometry.h"
29 #include "AliTRDCommonParam.h"
30 #include "AliTRDtrackletWord.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 AliTRDtrackletWord *const tracklet, Int_t det, UShort_t volid)
118 :AliCluster(volid,tracklet->GetX(),tracklet->GetY(),tracklet->GetZ(),0,0,0)
130 // Constructor from online tracklet
134 //_____________________________________________________________________________
135 AliTRDcluster::AliTRDcluster(const AliTRDcluster &c)
139 ,fPadTime(c.fPadTime)
140 ,fLocalTimeBin(c.fLocalTimeBin)
142 ,fClusterMasking(c.fClusterMasking)
143 ,fDetector(c.fDetector)
151 SetLabel(c.GetLabel(0),0);
152 SetLabel(c.GetLabel(1),1);
153 SetLabel(c.GetLabel(2),2);
157 AliCluster::SetSigmaY2(c.GetSigmaY2());
158 SetSigmaZ2(c.GetSigmaZ2());
160 for (Int_t i = 0; i < 7; i++) {
161 fSignals[i] = c.fSignals[i];
166 //_____________________________________________________________________________
167 void AliTRDcluster::AddTrackIndex(Int_t *track)
170 // Adds track index. Currently assumed that track is an array of
171 // size 9, and up to 3 track indexes are stored in fTracks[3].
172 // Indexes are sorted according to:
173 // 1) index of max number of appearances is stored first
174 // 2) if two or more indexes appear equal number of times, the lowest
175 // ones are stored first;
178 const Int_t kSize = 9;
179 Int_t entries[kSize][2];
187 for (i = 0; i < kSize; i++) {
192 for (k = 0; k < kSize; k++) {
199 while ((!indexAdded) && (j < kSize)) {
200 if ((entries[j][0] == index) ||
201 (entries[j][1] == 0)) {
202 entries[j][0] = index;
203 entries[j][1] = entries[j][1] + 1;
212 // Sort by number of appearances and index value
218 for (i = 0; i < (kSize - 1); i++) {
219 if ((entries[i][0] >= 0) &&
220 (entries[i+1][0] >= 0)) {
221 if ((entries[i][1] < entries[i+1][1]) ||
222 ((entries[i][1] == entries[i+1][1]) &&
223 (entries[i][0] > entries[i+1][0]))) {
224 tmp0 = entries[i][0];
225 tmp1 = entries[i][1];
226 entries[i][0] = entries[i+1][0];
227 entries[i][1] = entries[i+1][1];
228 entries[i+1][0] = tmp0;
229 entries[i+1][1] = tmp1;
237 for (i = 0; i < 3; i++) {
238 SetLabel(entries[i][0],i);
245 //_____________________________________________________________________________
246 void AliTRDcluster::Clear(Option_t *)
249 // Reset all member to the default value
258 for (Int_t i=0; i < 7; i++) fSignals[i]=0;
261 for (Int_t i = 0; i < 3; i++) SetLabel(0,i);
265 AliCluster::SetSigmaY2(0.);
270 //_____________________________________________________________________________
271 Float_t AliTRDcluster::GetSumS() const
274 // Returns the total charge from a not unfolded cluster
278 for (Int_t i = 0; i < 7; i++) {
286 //___________________________________________________________________________
287 Double_t AliTRDcluster::GetSX(Int_t tb, Double_t z)
289 // Returns the error parameterization in the radial direction for TRD clusters as function of
290 // the calibrated time bin (tb) and optionally distance to anode wire (z). By default (no z information)
291 // the mean value over all cluster to wire distance is chosen.
293 // There are several contributions which are entering in the definition of the radial errors of the clusters.
294 // Although an analytic defition should be possible for the moment this is not yet available but instead a
295 // numerical parameterization is provided (see AliTRDclusterResolution::ProcessSigma() for the calibration
296 // method). The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis.
299 //<img src="TRD/clusterXerrorDiff2D.gif">
302 // Here is a list of uncertainty components:
303 // - Time Response Function (TRF) - the major contribution. since TRF is also not symmetric (even if tail is
304 // cancelled) it also creates a systematic shift dependent on the charge distribution before and after the cluster.
305 // - longitudinal diffusion - increase the width of TRF and scales with square root of drift length
306 // - variation in the drift velocity within the drift cell
309 // A.Bercuci <A.Bercuci@gsi.de>
311 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
312 const Double_t sx[24][10]={
313 {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},
314 {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},
315 {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},
316 {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},
317 {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},
318 {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},
319 {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},
320 {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},
321 {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},
322 {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},
323 {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},
324 {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},
325 {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},
326 {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},
327 {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},
328 {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},
329 {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},
330 {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},
331 {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},
332 {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},
333 {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},
334 {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},
335 {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},
336 {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}
338 if(z>=0. && z<.25) return sx[tb][Int_t(z/.025)];
340 Double_t m = 0.; for(Int_t id=10; id--;) m+=sx[tb][id];
344 //___________________________________________________________________________
345 Double_t AliTRDcluster::GetSYdrift(Int_t tb, Int_t ly, Double_t/* z*/)
347 // Returns the error parameterization for TRD clusters as function of the drift length (here calibrated time bin tb)
348 // and optionally distance to anode wire (z) for the LUT r-phi cluster shape. By default (no z information) the largest
349 // value over all cluster to wire values is chosen.
351 // For the LUT method the dependence of s_y with x and d is obtained via a fit to the cluster to MC
352 // resolution. (see class AliTRDclusterResolution for more details). A normalization to the reference radial position
353 // x0 = 0.675 (tb=5 for ideal vd) is also applied (see GetSYprf()). The function is *NOT* calibration aware !
354 // The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis. A comparison
355 // with the GAUS parameterization is also given
357 // For the GAUS method the dependence of s_y with x is *analytic* and it is expressed by the relation.
359 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
361 // The result is displayed in the figure below as function of the drift time and compared with the LUT parameterization.
363 //<img src="TRD/clusterYerrorDiff2D.gif">
364 //<img src="TRD/clusterYerrorDiff1D.gif">
368 // A.Bercuci <A.Bercuci@gsi.de>
371 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
372 const Float_t lSy[6][24] = {
373 {75.7561, 0.0325, 0.0175, 0.0174, 0.0206, 0.0232,
374 0.0253, 0.0262, 0.0265, 0.0264, 0.0266, 0.0257,
375 0.0258, 0.0261, 0.0259, 0.0253, 0.0257, 0.0261,
376 0.0255, 0.0250, 0.0259, 0.0266, 0.0278, 0.0319
378 {49.2252, 0.0371, 0.0204, 0.0189, 0.0230, 0.0261,
379 0.0281, 0.0290, 0.0292, 0.0286, 0.0277, 0.0279,
380 0.0285, 0.0281, 0.0291, 0.0281, 0.0281, 0.0282,
381 0.0272, 0.0282, 0.0282, 0.0284, 0.0310, 0.0334
383 {55.1674, 0.0388, 0.0212, 0.0200, 0.0239, 0.0271,
384 0.0288, 0.0299, 0.0306, 0.0300, 0.0296, 0.0303,
385 0.0293, 0.0290, 0.0291, 0.0294, 0.0295, 0.0290,
386 0.0293, 0.0292, 0.0292, 0.0293, 0.0316, 0.0358
388 {45.1004, 0.0411, 0.0225, 0.0215, 0.0249, 0.0281,
389 0.0301, 0.0315, 0.0320, 0.0308, 0.0318, 0.0321,
390 0.0312, 0.0311, 0.0316, 0.0315, 0.0310, 0.0308,
391 0.0313, 0.0303, 0.0314, 0.0314, 0.0324, 0.0369
393 {43.8614, 0.0420, 0.0239, 0.0224, 0.0268, 0.0296,
394 0.0322, 0.0336, 0.0333, 0.0326, 0.0321, 0.0325,
395 0.0329, 0.0326, 0.0323, 0.0322, 0.0326, 0.0320,
396 0.0329, 0.0319, 0.0314, 0.0329, 0.0341, 0.0373
398 {40.5440, 0.0434, 0.0246, 0.0236, 0.0275, 0.0311,
399 0.0332, 0.0345, 0.0347, 0.0347, 0.0340, 0.0336,
400 0.0339, 0.0344, 0.0339, 0.0341, 0.0341, 0.0342,
401 0.0345, 0.0328, 0.0341, 0.0332, 0.0356, 0.0398
405 return TMath::Max(lSy[ly][tb]-0.0150, 0.0010);
407 /* const Double_t sy[24][10]={
408 {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},
409 {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},
410 {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},
411 {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},
412 {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},
413 {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},
414 {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},
415 {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},
416 {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},
417 {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},
418 {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},
419 {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},
420 {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},
421 {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},
422 {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},
423 {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},
424 {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},
425 {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},
426 {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},
427 {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},
428 {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},
429 {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},
430 {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},
431 {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}
433 if(z>=0. && z<.25) return sy[tb][Int_t(z/.025)] - sy[5][Int_t(z/.025)];
435 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];
440 //___________________________________________________________________________
441 Double_t AliTRDcluster::GetSYcharge(Float_t q)
443 // Parameterization of the r-phi resolution component due to cluster charge.
444 // The value is the offset from the nominal cluster resolution defined as the
445 // cluster resolution at average cluster charge (q0).
448 // #Delta #sigma_{y}(q) = a*(#frac{1}{q} - #frac{1}{q_{0}})
451 // The definition is *NOT* robust against gain fluctuations and thus two approaches are possible
452 // when residual miscalibration are available:
453 // - determine parameterization with a resolution matching those of the gain
454 // - define an analytic model which scales with the gain.
456 // For more details please see AliTRDclusterResolution::ProcessCharge()
459 //<img src="TRD/clusterQerror.gif">
463 // A.Bercuci <A.Bercuci@gsi.de>
465 const Float_t sq0inv = 0.019962; // [1/q0]
466 const Float_t sqb = 0.037328; // [cm]
468 return sqb*(1./q - sq0inv);
471 //___________________________________________________________________________
472 Double_t AliTRDcluster::GetSYprf(Int_t ly, Double_t center, Double_t s2)
474 // Parameterization of the cluster error in the r-phi direction due to charge sharing between
475 // adiacent pads. Should be identical to what is provided in the OCDB as PRF [TODO]
477 // The parameterization is obtained from fitting cluster resolution at phi=exb and |x-0.675|<0.225.
478 // For more details see AliTRDclusterResolution::ProcessCenter().
481 //<img src="TRD/clusterPRFerror.gif">
485 // A.Bercuci <A.Bercuci@gsi.de>
487 /* const Float_t scy[AliTRDgeometry::kNlayer][4] = {
488 {2.827e-02, 9.600e-04, 4.296e-01, 2.271e-02},
489 {2.952e-02,-2.198e-04, 4.146e-01, 2.339e-02},
490 {3.090e-02, 1.514e-03, 4.020e-01, 2.402e-02},
491 {3.260e-02,-2.037e-03, 3.946e-01, 2.509e-02},
492 {3.439e-02,-3.601e-04, 3.883e-01, 2.623e-02},
493 {3.510e-02, 2.066e-03, 3.651e-01, 2.588e-02},
495 const Float_t lPRF[] = {0.438, 0.403, 0.393, 0.382, 0.376, 0.345};
497 return s2*TMath::Gaus(center, 0., lPRF[ly]);
501 //___________________________________________________________________________
502 Double_t AliTRDcluster::GetXcorr(Int_t tb, Double_t z)
504 // Drift length correction [cm]. Due to variation of mean drift velocity along the drift region
505 // from nominal vd at xd->infinity. For drift velocity determination based on tracking information
506 // the correction should be negligible.
508 //<img src="TRD/clusterXcorr.gif">
510 // TODO to be parametrized in term of drift velocity at infinite drift length
511 // A.Bercuci (Mar 28 2009)
513 if(tb<0 || tb>=24) return 0.;
515 const Double_t dx[24][nd]={
516 {+1.747e-01,+3.195e-01,+1.641e-01,+1.607e-01,+6.002e-01},
517 {+5.468e-02,+5.760e-02,+6.365e-02,+8.003e-02,+1.067e-01},
518 {-6.327e-02,-6.339e-02,-6.423e-02,-6.900e-02,-7.949e-02},
519 {-1.417e-01,-1.424e-01,-1.450e-01,-1.465e-01,-1.514e-01},
520 {-1.637e-01,-1.619e-01,-1.622e-01,-1.613e-01,-1.648e-01},
521 {-1.386e-01,-1.334e-01,-1.261e-01,-1.276e-01,-1.314e-01},
522 {-8.799e-02,-8.299e-02,-7.861e-02,-8.038e-02,-8.436e-02},
523 {-5.139e-02,-4.849e-02,-4.641e-02,-4.965e-02,-5.286e-02},
524 {-2.927e-02,-2.773e-02,-2.807e-02,-3.021e-02,-3.378e-02},
525 {-1.380e-02,-1.229e-02,-1.335e-02,-1.547e-02,-1.984e-02},
526 {-4.168e-03,-4.601e-03,-5.462e-03,-8.164e-03,-1.035e-02},
527 {+2.044e-03,+1.889e-03,+9.603e-04,-1.342e-03,-3.736e-03},
528 {+3.568e-03,+3.581e-03,+2.391e-03,+2.942e-05,-1.585e-03},
529 {+4.403e-03,+4.571e-03,+3.509e-03,+8.703e-04,-1.425e-03},
530 {+4.941e-03,+4.808e-03,+3.284e-03,+1.105e-03,-1.208e-03},
531 {+5.124e-03,+5.022e-03,+4.305e-03,+2.023e-03,-1.145e-03},
532 {+4.882e-03,+4.008e-03,+3.408e-03,+7.886e-04,-1.356e-03},
533 {+3.852e-03,+3.539e-03,+2.057e-03,+1.670e-04,-1.993e-03},
534 {+2.154e-03,+2.111e-03,+5.723e-04,-1.254e-03,-3.256e-03},
535 {+1.755e-03,+2.101e-03,+9.516e-04,-1.649e-03,-3.394e-03},
536 {+1.617e-03,+1.662e-03,+4.169e-04,-9.843e-04,-4.309e-03},
537 {-9.204e-03,-9.069e-03,-1.182e-02,-1.458e-02,-1.880e-02},
538 {-6.727e-02,-6.820e-02,-6.804e-02,-7.134e-02,-7.615e-02},
539 {-1.802e-01,-1.733e-01,-1.633e-01,-1.601e-01,-1.632e-01}
541 // const Double_t dx[24][nd]={
542 // {+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},
543 // {-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},
544 // {-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},
545 // {-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},
546 // {-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},
547 // {-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},
548 // {-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},
549 // {-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},
550 // {+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},
551 // {+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},
552 // {+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},
553 // {+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},
554 // {+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},
555 // {+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},
556 // {+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},
557 // {+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},
558 // {+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},
559 // {+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},
560 // {+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},
561 // {+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},
562 // {+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},
563 // {+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},
564 // {+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},
565 // {+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}
567 if(z>=0. && z<.25) return dx[tb][Int_t(z/.025)];
569 Double_t m = 0.; for(Int_t id=nd; id--;) m+=dx[tb][id];
573 //___________________________________________________________________________
574 Double_t AliTRDcluster::GetYcorr(Int_t ly, Float_t y)
576 // PRF correction for the LUT r-phi cluster shape.
578 //<img src="TRD/clusterYcorr.gif">
581 const Float_t cy[AliTRDgeometry::kNlayer][3] = {
582 { 4.014e-04, 8.605e-03, -6.880e+00},
583 {-3.061e-04, 9.663e-03, -6.789e+00},
584 { 1.124e-03, 1.105e-02, -6.825e+00},
585 {-1.527e-03, 1.231e-02, -6.777e+00},
586 { 2.150e-03, 1.387e-02, -6.783e+00},
587 {-1.296e-03, 1.486e-02, -6.825e+00}
590 return cy[ly][0] + cy[ly][1] * TMath::Sin(cy[ly][2] * y);
593 //_____________________________________________________________________________
594 Float_t AliTRDcluster::GetXloc(Double_t t0, Double_t vd, Double_t *const /*q*/, Double_t *const /*xq*/, Double_t /*z*/)
597 // (Re)Calculate cluster position in the x direction in local chamber coordinates (with respect to the anode wire
598 // position) using all available information from tracking.
600 // t0 - calibration aware trigger delay [us]
601 // vd - drift velocity in the region of the cluster [cm/us]
602 // z - distance to the anode wire [cm]. By default average over the drift cell width.
603 // q & xq - array of charges and cluster positions from previous clusters in the tracklet [a.u.]
605 // return x position of the cluster with respect to the
606 // anode wire using all tracking information
608 // The estimation of the radial position is based on calculating the drift time and the drift velocity at the point of
609 // estimation. The drift time can be estimated according to the expression:
611 // t_{drift} = t_{bin} - t_{0} - t_{cause}(x) - t_{TC}(q_{i-1}, q_{i-2}, ...)
613 // where t_0 is the delay of the trigger signal. t_cause is the causality delay between ionisation electrons hitting
614 // the anode and the registration of maximum signal by the electronics - it is due to the rising time of the TRF
615 // A second order correction here comes from the fact that the time spreading of charge at anode is the convolution of
616 // TRF with the diffusion and thus cross-talk between clusters before and after local clusters changes with drift length.
617 // t_TC is the residual charge from previous (in time) clusters due to residual tails after tail cancellation.
618 // This tends to push cluster forward and depends on the magnitude of their charge.
620 // The drift velocity varies with the drift length (and distance to anode wire) as described by cell structure simulation.
621 // Thus one, in principle, can calculate iteratively the drift length from the expression:
623 // x = t_{drift}(x)*v_{drift}(x)
625 // In practice we use a numerical approach (AliTRDcluster::GetXcorr()) to correct for anisochronity obtained from MC
626 // comparison (see AliTRDclusterResolution::ProcessSigma()). Also the calibration of 0 approximation (no x dependence)
627 // for t_cause is obtained from MC comparisons and impossible to disentangle in real life from trigger delay.
630 // Alex Bercuci <A.Bercuci@gsi.de>
633 AliTRDCommonParam *cp = AliTRDCommonParam::Instance();
634 Double_t fFreq = cp->GetSamplingFrequency();
636 //drift time corresponding to the center of the time bin
637 Double_t td = (fPadTime + .5)/fFreq; // [us]
640 // time bin corrected for t0
641 // Bug in TMath::Nint().root-5.23.02
642 // TMath::Nint(3.5) = 4 and TMath::Nint(4.5) = 4
643 Double_t tmp = td*fFreq;
644 fLocalTimeBin = Char_t(TMath::Floor(tmp));
645 if(tmp-fLocalTimeBin > .5) fLocalTimeBin++;
646 if(td < .2) return 0.;
647 // TRF rising time (fitted)
648 // It should be absorbed by the t0. For the moment t0 is 0 for simulations.
649 // A.Bercuci (Mar 26 2009)
652 // apply fitted correction
653 Float_t x = td*vd + GetXcorr(fLocalTimeBin);
654 if(x>0.&&x<.5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()) SetInChamber();
659 // calculate radial posion of clusters in the drift region
661 // invert drift time function
662 Double_t xM= AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght(),
663 x = vd*td + .5*AliTRDgeometry::CamHght(),
664 t = cp->TimeStruct(vd, x, z), dx1=0.,dx2;
665 while(TMath::Abs(td-t)>1.e-4){ // convergence on 100ps
667 if(TMath::Abs(TMath::Abs(dx2)-TMath::Abs(dx1))<1.e-6){
672 if(x<0. || x>xM) return 0.;
673 t = cp->TimeStruct(vd, x, z);
677 return x-.5*AliTRDgeometry::CamHght();
681 //_____________________________________________________________________________
682 Float_t AliTRDcluster::GetYloc(Double_t y0, Double_t s2, Double_t W, Double_t *const y1, Double_t *const y2)
684 // Calculate, in tracking cooordinate system, the r-phi offset the cluster from the middle of the center pad. Three possible methods are implemented:
685 // - Center of Gravity (COG) see AliTRDcluster::GetDYcog()
686 // - Look-up Table (LUT) see AliTRDcluster::GetDYlut()
687 // - Gauss shape (GAUS) see AliTRDcluster::GetDYgauss()
688 // In addition for the case of LUT method position corrections are also applied (see AliTRDcluster::GetYcorr())
690 if(IsRPhiMethod(kCOG)) GetDYcog();
691 else if(IsRPhiMethod(kLUT)) GetDYlut();
692 else if(IsRPhiMethod(kGAUS)) GetDYgauss(s2/W/W, y1, y2);
698 return y0+fCenter*W+(IsRPhiMethod(kLUT)?GetYcorr(AliTRDgeometry::GetLayer(fDetector), fCenter):0.);
701 //___________________________________________________________________________
702 void AliTRDcluster::SetSigmaY2(Float_t s2, Float_t dt, Float_t exb, Float_t x, Float_t z, Float_t tgp)
704 // Set variance of TRD cluster in the r-phi direction for each method.
706 // - s2 - variance due to PRF width for the case of Gauss model. Replaced by parameterization in case of LUT.
707 // - dt - transversal diffusion coeficient
708 // - exb - tg of lorentz angle
709 // - x - drift length - with respect to the anode wire
710 // - z - offset from the anode wire
711 // - tgp - local tangent of the track momentum azimuthal angle
713 // The ingredients from which the error is computed are:
714 // - PRF (charge sharing on adjacent pads) - see AliTRDcluster::GetSYprf()
715 // - diffusion (dependence with drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSYdrift()
716 // - charge of the cluster (complex dependence on gain and tail cancellation) - see AliTRDcluster::GetSYcharge()
717 // - lorentz angle (dependence on the drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSX()
718 // - track angle (superposition of charges on the anode wire) - see AliTRDseedV1::Fit()
719 // - projection of radial(x) error on r-phi due to fixed value assumed in tracking for x - see AliTRDseedV1::Fit()
721 // The last 2 contributions to cluster error can be estimated only during tracking when the track angle
722 // is known (tgp). For this reason the errors (and optional position) of TRD clusters are recalculated during
723 // tracking and thus clusters attached to tracks might differ from bare clusters.
725 // Taking into account all contributions one can write the the TRD cluster error parameterization as:
727 // #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
729 // From this formula one can deduce a that the simplest calibration method for PRF and diffusion contributions is
730 // by measuring resolution at B=0T and phi=0. To disentangle further the two remaining contributions one has
731 // to represent s2 as a function of drift length.
733 // In the gaussian model the diffusion contribution can be expressed as:
735 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
737 // thus resulting the PRF contribution. For the case of the LUT model both contributions have to be determined from
738 // the fit (see AliTRDclusterResolution::ProcessCenter() for details).
741 // A.Bercuci <A.Bercuci@gsi.de>
743 Float_t sigmaY2 = 0.;
744 Int_t ly = AliTRDgeometry::GetLayer(fDetector);
745 if(IsRPhiMethod(kCOG)) sigmaY2 = 4.e-4;
746 else if(IsRPhiMethod(kLUT)){
747 Float_t sd = GetSYdrift(fLocalTimeBin, ly, z); //printf("drift[%6.2f] ", 1.e4*sd);
748 sigmaY2 = GetSYprf(ly, fCenter, sd); //printf("PRF[%6.2f] ", 1.e4*sigmaY2);
749 // add charge contribution TODO scale with respect to s2
750 sigmaY2+= GetSYcharge(TMath::Abs(fQ)); //printf("Q[%6.2f] ", 1.e4*sigmaY2);
751 sigmaY2 = TMath::Max(sigmaY2, Float_t(0.0010)); //!! protection
753 } else if(IsRPhiMethod(kGAUS)){
756 // Diffusion contribution
757 Double_t sD2 = dt/(1.+exb); sD2 *= sD2; sD2 *= x;
759 // add charge contribution TODO scale with respect to s2
760 //sigmaY2+= GetSYcharge(TMath::Abs(fQ));
763 // store tg^2(phi-a_L) and tg^2(a_L)
764 Double_t tgg = (tgp-exb)/(1.+tgp*exb); tgg *= tgg;
765 Double_t exb2= exb*exb;
767 // Lorentz angle shift contribution
768 Float_t sx = GetSX(fLocalTimeBin, z); sx*=sx;
769 sigmaY2+= exb2*sx; //printf("Al[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
771 // Radial contribution due to not measuring x in Kalman model
772 sigmaY2+= tgg*sx; //printf("x[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
774 // Track angle contribution
775 sigmaY2+= tgg*x*x*exb2/12.; //printf("angle[%6.2f]\n", 1.e4*TMath::Sqrt(sigmaY2));
777 AliCluster::SetSigmaY2(sigmaY2);
780 //_____________________________________________________________________________
781 Bool_t AliTRDcluster::IsEqual(const TObject *o) const
784 // Compare relevant information of this cluster with another one
787 const AliTRDcluster *inCluster = dynamic_cast<const AliTRDcluster*>(o);
788 if (!o || !inCluster) return kFALSE;
790 if ( AliCluster::GetX() != inCluster->GetX() ) return kFALSE;
791 if ( AliCluster::GetY() != inCluster->GetY() ) return kFALSE;
792 if ( AliCluster::GetZ() != inCluster->GetZ() ) return kFALSE;
793 if ( fQ != inCluster->fQ ) return kFALSE;
794 if ( fDetector != inCluster->fDetector ) return kFALSE;
795 if ( fPadCol != inCluster->fPadCol ) return kFALSE;
796 if ( fPadRow != inCluster->fPadRow ) return kFALSE;
797 if ( fPadTime != inCluster->fPadTime ) return kFALSE;
798 if ( fClusterMasking != inCluster->fClusterMasking ) return kFALSE;
799 if ( IsInChamber() != inCluster->IsInChamber() ) return kFALSE;
800 if ( IsShared() != inCluster->IsShared() ) return kFALSE;
801 if ( IsUsed() != inCluster->IsUsed() ) return kFALSE;
806 //_____________________________________________________________________________
807 void AliTRDcluster::Print(Option_t *o) const
809 AliInfo(Form("Det[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]",
810 fDetector, GetX(), GetY(), GetZ(), fQ,
811 IsInChamber() ? 'y' : 'n',
812 IsUsed() ? 'y' : 'n',
813 IsShared() ? 'y' : 'n',
814 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
817 if(strcmp(o, "a")!=0) return;
818 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));
819 AliInfo(Form("Signals[%3d %3d %3d %3d %3d %3d %3d]", fSignals[0], fSignals[1], fSignals[2], fSignals[3], fSignals[4], fSignals[5], fSignals[6]));
823 //_____________________________________________________________________________
824 void AliTRDcluster::SetPadMaskedPosition(UChar_t position)
827 // store the pad corruption position code
829 // Code: 1 = left cluster
830 // 2 = middle cluster;
833 for(Int_t ipos = 0; ipos < 3; ipos++)
834 if(TESTBIT(position, ipos))
835 SETBIT(fClusterMasking, ipos);
838 //_____________________________________________________________________________
839 void AliTRDcluster::SetPadMaskedStatus(UChar_t status)
842 // store the status of the corrupted pad
847 // 32 = Not Connected
848 for(Int_t ipos = 0; ipos < 5; ipos++)
849 if(TESTBIT(status, ipos))
850 SETBIT(fClusterMasking, ipos + 3);
853 //___________________________________________________________________________
854 Float_t AliTRDcluster::GetDYcog(Double_t *const, Double_t *const)
858 // Used for clusters with more than 3 pads - where LUT not applicable
860 Double_t sum = fSignals[1]
867 // Go to 3 pad COG ????
869 fCenter = (0.0 * (-fSignals[1] + fSignals[5])
870 + (-fSignals[2] + fSignals[4])) / sum;
875 //___________________________________________________________________________
876 Float_t AliTRDcluster::GetDYlut(Double_t *const, Double_t *const)
879 // Calculates the cluster position using the lookup table.
880 // Method provided by Bogdan Vulpescu.
883 if(!fgLUT) FillLUT();
885 Double_t ampL = fSignals[2],
888 Int_t ilayer = AliTRDgeometry::GetLayer(fDetector);
891 Double_t xmin, xmax, xwid;
896 Double_t xMin[AliTRDgeometry::kNlayer] = {
897 0.006492, 0.006377, 0.006258, 0.006144, 0.006030, 0.005980
899 Double_t xMax[AliTRDgeometry::kNlayer] = {
900 0.960351, 0.965870, 0.970445, 0.974352, 0.977667, 0.996101
904 x = (ampL - ampR) / ampC;
907 else if (ampL < ampR) {
908 x = (ampR - ampL) / ampC;
914 xmin = xMin[ilayer] + 0.000005;
915 xmax = xMax[ilayer] - 0.000005;
916 xwid = (xmax - xmin) / 127.0;
918 if (x < xmin) fCenter = 0.0000;
919 else if (x > xmax) fCenter = side * 0.5000;
921 ix = (Int_t) ((x - xmin) / xwid);
922 fCenter = side * fgLUT[ilayer*fgkNlut+ix];
924 } else fCenter = 0.0;
929 //___________________________________________________________________________
930 Float_t AliTRDcluster::GetDYgauss(Double_t s2w, Double_t *const y1, Double_t *const y2)
933 // (Re)Calculate cluster position in the y direction in local chamber coordinates using all available information from tracking.
936 // s2 - sigma of gaussian parameterization (see bellow for the exact parameterization)
938 // xd - drift length (with respect to the anode wire) [cm]
939 // wt - omega*tau = tg(a_L)
941 // y1 and y2 - partial positions based on 2 pads clusters
942 // return y position of the cluster from all information
944 // Estimation of y coordinate is based on the gaussian approximation of the PRF. Thus one may
945 // calculate the y position knowing the signals q_i-1, q_i and q_i+1 in the 3 adiacent pads by:
947 // 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}}}}
949 // where W is the pad width, y_0 is the position of the center pad and s^2 is given by
951 // s^{2} = s^{2}_{0} + s^{2}_{diff} (x,B) + #frac{tg^{2}(#phi-#alpha_{L})*l^{2}}{12}
953 // with s_0 being the PRF for 0 drift and track incidence phi equal to the lorentz angle a_L and the diffusion term
954 // being described by:
956 // s_{diff} (x,B) = #frac{D_{L}#sqrt{x}}{1+#(){#omega#tau}^{2}}
958 // 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
961 // Alex Bercuci <A.Bercuci@gsi.de>
962 // Theodor Rascanu <trascanu@stud.uni-frankfurt.de>
964 Double_t w1 = fSignals[2]*fSignals[2];
965 Double_t w2 = fSignals[4]*fSignals[4];
968 AliError("Missing side signals for cluster.");
973 //Double_t s2w = s2/W/W;
974 Float_t y1r = fSignals[2]>0 ? (-0.5 + s2w*TMath::Log(fSignals[3]/(Float_t)fSignals[2])) : 0.;
975 Float_t y2r = fSignals[4]>0 ? (0.5 + s2w*TMath::Log(fSignals[4]/(Float_t)fSignals[3])) : 0.;
980 return fCenter = (w1*y1r+w2*y2r)/w;
985 //_____________________________________________________________________________
986 void AliTRDcluster::FillLUT()
992 // The lookup table from Bogdan
993 Float_t lut[AliTRDgeometry::kNlayer][fgkNlut] = {
995 0.0070, 0.0150, 0.0224, 0.0298, 0.0374, 0.0454, 0.0533, 0.0611,
996 0.0684, 0.0755, 0.0827, 0.0900, 0.0975, 0.1049, 0.1120, 0.1187,
997 0.1253, 0.1318, 0.1385, 0.1453, 0.1519, 0.1584, 0.1646, 0.1704,
998 0.1762, 0.1821, 0.1879, 0.1938, 0.1996, 0.2053, 0.2108, 0.2160,
999 0.2210, 0.2260, 0.2310, 0.2361, 0.2411, 0.2461, 0.2509, 0.2557,
1000 0.2602, 0.2646, 0.2689, 0.2732, 0.2774, 0.2816, 0.2859, 0.2901,
1001 0.2942, 0.2983, 0.3022, 0.3061, 0.3099, 0.3136, 0.3172, 0.3207,
1002 0.3242, 0.3278, 0.3312, 0.3347, 0.3382, 0.3416, 0.3450, 0.3483,
1003 0.3515, 0.3547, 0.3579, 0.3609, 0.3639, 0.3669, 0.3698, 0.3727,
1004 0.3756, 0.3785, 0.3813, 0.3842, 0.3870, 0.3898, 0.3926, 0.3952,
1005 0.3979, 0.4005, 0.4032, 0.4057, 0.4082, 0.4108, 0.4132, 0.4157,
1006 0.4181, 0.4205, 0.4228, 0.4252, 0.4275, 0.4299, 0.4322, 0.4345,
1007 0.4367, 0.4390, 0.4412, 0.4434, 0.4456, 0.4478, 0.4499, 0.4520,
1008 0.4541, 0.4562, 0.4583, 0.4603, 0.4623, 0.4643, 0.4663, 0.4683,
1009 0.4702, 0.4722, 0.4741, 0.4758, 0.4774, 0.4790, 0.4805, 0.4824,
1010 0.4844, 0.4863, 0.4883, 0.4902, 0.4921, 0.4940, 0.4959, 0.4978
1013 0.0072, 0.0156, 0.0235, 0.0313, 0.0394, 0.0478, 0.0561, 0.0642,
1014 0.0718, 0.0792, 0.0868, 0.0947, 0.1025, 0.1101, 0.1172, 0.1241,
1015 0.1309, 0.1378, 0.1449, 0.1518, 0.1586, 0.1650, 0.1710, 0.1770,
1016 0.1830, 0.1891, 0.1952, 0.2011, 0.2070, 0.2125, 0.2177, 0.2229,
1017 0.2280, 0.2332, 0.2383, 0.2435, 0.2484, 0.2533, 0.2581, 0.2627,
1018 0.2670, 0.2714, 0.2757, 0.2799, 0.2842, 0.2884, 0.2927, 0.2968,
1019 0.3008, 0.3048, 0.3086, 0.3123, 0.3159, 0.3195, 0.3231, 0.3266,
1020 0.3301, 0.3335, 0.3370, 0.3404, 0.3438, 0.3471, 0.3504, 0.3536,
1021 0.3567, 0.3598, 0.3628, 0.3657, 0.3686, 0.3715, 0.3744, 0.3772,
1022 0.3800, 0.3828, 0.3856, 0.3884, 0.3911, 0.3938, 0.3965, 0.3991,
1023 0.4016, 0.4042, 0.4067, 0.4092, 0.4116, 0.4140, 0.4164, 0.4187,
1024 0.4211, 0.4234, 0.4257, 0.4280, 0.4302, 0.4325, 0.4347, 0.4369,
1025 0.4391, 0.4413, 0.4434, 0.4456, 0.4477, 0.4497, 0.4518, 0.4538,
1026 0.4558, 0.4578, 0.4598, 0.4618, 0.4637, 0.4656, 0.4675, 0.4694,
1027 0.4713, 0.4732, 0.4750, 0.4766, 0.4781, 0.4797, 0.4813, 0.4832,
1028 0.4851, 0.4870, 0.4888, 0.4906, 0.4925, 0.4942, 0.4960, 0.4978
1031 0.0075, 0.0163, 0.0246, 0.0328, 0.0415, 0.0504, 0.0592, 0.0674,
1032 0.0753, 0.0832, 0.0914, 0.0996, 0.1077, 0.1154, 0.1225, 0.1296,
1033 0.1369, 0.1442, 0.1515, 0.1585, 0.1652, 0.1714, 0.1776, 0.1839,
1034 0.1902, 0.1965, 0.2025, 0.2085, 0.2141, 0.2194, 0.2247, 0.2299,
1035 0.2352, 0.2405, 0.2457, 0.2507, 0.2557, 0.2604, 0.2649, 0.2693,
1036 0.2737, 0.2780, 0.2823, 0.2867, 0.2909, 0.2951, 0.2992, 0.3033,
1037 0.3072, 0.3110, 0.3146, 0.3182, 0.3218, 0.3253, 0.3288, 0.3323,
1038 0.3357, 0.3392, 0.3426, 0.3459, 0.3492, 0.3524, 0.3555, 0.3586,
1039 0.3616, 0.3645, 0.3674, 0.3703, 0.3731, 0.3759, 0.3787, 0.3815,
1040 0.3843, 0.3870, 0.3897, 0.3925, 0.3950, 0.3976, 0.4002, 0.4027,
1041 0.4052, 0.4076, 0.4101, 0.4124, 0.4148, 0.4171, 0.4194, 0.4217,
1042 0.4239, 0.4262, 0.4284, 0.4306, 0.4328, 0.4350, 0.4371, 0.4393,
1043 0.4414, 0.4435, 0.4455, 0.4476, 0.4496, 0.4516, 0.4536, 0.4555,
1044 0.4575, 0.4594, 0.4613, 0.4632, 0.4650, 0.4669, 0.4687, 0.4705,
1045 0.4723, 0.4741, 0.4758, 0.4773, 0.4789, 0.4804, 0.4821, 0.4839,
1046 0.4857, 0.4875, 0.4893, 0.4910, 0.4928, 0.4945, 0.4961, 0.4978
1049 0.0078, 0.0171, 0.0258, 0.0345, 0.0438, 0.0532, 0.0624, 0.0708,
1050 0.0791, 0.0875, 0.0962, 0.1048, 0.1130, 0.1206, 0.1281, 0.1356,
1051 0.1432, 0.1508, 0.1582, 0.1651, 0.1716, 0.1780, 0.1845, 0.1910,
1052 0.1975, 0.2038, 0.2099, 0.2155, 0.2210, 0.2263, 0.2317, 0.2371,
1053 0.2425, 0.2477, 0.2528, 0.2578, 0.2626, 0.2671, 0.2715, 0.2759,
1054 0.2803, 0.2846, 0.2890, 0.2933, 0.2975, 0.3016, 0.3056, 0.3095,
1055 0.3132, 0.3168, 0.3204, 0.3239, 0.3274, 0.3309, 0.3344, 0.3378,
1056 0.3412, 0.3446, 0.3479, 0.3511, 0.3543, 0.3574, 0.3603, 0.3633,
1057 0.3662, 0.3690, 0.3718, 0.3747, 0.3774, 0.3802, 0.3829, 0.3857,
1058 0.3883, 0.3910, 0.3936, 0.3962, 0.3987, 0.4012, 0.4037, 0.4061,
1059 0.4085, 0.4109, 0.4132, 0.4155, 0.4177, 0.4200, 0.4222, 0.4244,
1060 0.4266, 0.4288, 0.4309, 0.4331, 0.4352, 0.4373, 0.4394, 0.4414,
1061 0.4435, 0.4455, 0.4475, 0.4494, 0.4514, 0.4533, 0.4552, 0.4571,
1062 0.4590, 0.4608, 0.4626, 0.4645, 0.4662, 0.4680, 0.4698, 0.4715,
1063 0.4733, 0.4750, 0.4766, 0.4781, 0.4796, 0.4812, 0.4829, 0.4846,
1064 0.4863, 0.4880, 0.4897, 0.4914, 0.4930, 0.4946, 0.4963, 0.4979
1067 0.0081, 0.0178, 0.0270, 0.0364, 0.0463, 0.0562, 0.0656, 0.0744,
1068 0.0831, 0.0921, 0.1013, 0.1102, 0.1183, 0.1261, 0.1339, 0.1419,
1069 0.1499, 0.1576, 0.1648, 0.1715, 0.1782, 0.1849, 0.1917, 0.1984,
1070 0.2048, 0.2110, 0.2167, 0.2223, 0.2278, 0.2333, 0.2389, 0.2444,
1071 0.2497, 0.2548, 0.2598, 0.2645, 0.2691, 0.2735, 0.2780, 0.2824,
1072 0.2868, 0.2912, 0.2955, 0.2997, 0.3038, 0.3078, 0.3116, 0.3152,
1073 0.3188, 0.3224, 0.3259, 0.3294, 0.3329, 0.3364, 0.3398, 0.3432,
1074 0.3465, 0.3497, 0.3529, 0.3561, 0.3591, 0.3620, 0.3649, 0.3677,
1075 0.3705, 0.3733, 0.3761, 0.3788, 0.3816, 0.3843, 0.3869, 0.3896,
1076 0.3922, 0.3948, 0.3973, 0.3998, 0.4022, 0.4047, 0.4070, 0.4094,
1077 0.4117, 0.4139, 0.4162, 0.4184, 0.4206, 0.4227, 0.4249, 0.4270,
1078 0.4291, 0.4313, 0.4334, 0.4354, 0.4375, 0.4395, 0.4415, 0.4435,
1079 0.4455, 0.4474, 0.4493, 0.4512, 0.4531, 0.4550, 0.4568, 0.4586,
1080 0.4604, 0.4622, 0.4639, 0.4657, 0.4674, 0.4691, 0.4708, 0.4725,
1081 0.4742, 0.4758, 0.4773, 0.4788, 0.4803, 0.4819, 0.4836, 0.4852,
1082 0.4869, 0.4885, 0.4901, 0.4917, 0.4933, 0.4948, 0.4964, 0.4979
1085 0.0085, 0.0189, 0.0288, 0.0389, 0.0497, 0.0603, 0.0699, 0.0792,
1086 0.0887, 0.0985, 0.1082, 0.1170, 0.1253, 0.1336, 0.1421, 0.1505,
1087 0.1587, 0.1662, 0.1733, 0.1803, 0.1874, 0.1945, 0.2014, 0.2081,
1088 0.2143, 0.2201, 0.2259, 0.2316, 0.2374, 0.2431, 0.2487, 0.2541,
1089 0.2593, 0.2642, 0.2689, 0.2735, 0.2781, 0.2826, 0.2872, 0.2917,
1090 0.2961, 0.3003, 0.3045, 0.3086, 0.3125, 0.3162, 0.3198, 0.3235,
1091 0.3270, 0.3306, 0.3342, 0.3377, 0.3411, 0.3446, 0.3479, 0.3511,
1092 0.3543, 0.3575, 0.3605, 0.3634, 0.3663, 0.3691, 0.3720, 0.3748,
1093 0.3775, 0.3803, 0.3830, 0.3857, 0.3884, 0.3911, 0.3937, 0.3962,
1094 0.3987, 0.4012, 0.4036, 0.4060, 0.4084, 0.4107, 0.4129, 0.4152,
1095 0.4174, 0.4196, 0.4218, 0.4239, 0.4261, 0.4282, 0.4303, 0.4324,
1096 0.4344, 0.4365, 0.4385, 0.4405, 0.4425, 0.4445, 0.4464, 0.4483,
1097 0.4502, 0.4521, 0.4539, 0.4558, 0.4576, 0.4593, 0.4611, 0.4629,
1098 0.4646, 0.4663, 0.4680, 0.4697, 0.4714, 0.4730, 0.4747, 0.4759,
1099 0.4769, 0.4780, 0.4790, 0.4800, 0.4811, 0.4827, 0.4843, 0.4859,
1100 0.4874, 0.4889, 0.4905, 0.4920, 0.4935, 0.4950, 0.4965, 0.4979
1104 if(!fgLUT) fgLUT = new Double_t[AliTRDgeometry::kNlayer*fgkNlut];
1106 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::kNlayer; ilayer++) {
1107 for (Int_t ilut = 0; ilut < fgkNlut; ilut++ ) {
1108 fgLUT[ilayer*fgkNlut+ilut] = lut[ilayer][ilut];