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1/**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
3 * *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
6 * *
7 * Permission to use, copy, modify and distribute this software and its *
8 * documentation strictly for non-commercial purposes is hereby granted *
9 * without fee, provided that the above copyright notice appears in all *
10 * copies and that both the copyright notice and this permission notice *
11 * appear in the supporting documentation. The authors make no claims *
12 * about the suitability of this software for any purpose. It is *
13 * provided "as is" without express or implied warranty. *
14 **************************************************************************/
15
16/* $Id$ */
17
18///////////////////////////////////////////////////////////////////////////////
19// //
20// TRD cluster //
21// //
22///////////////////////////////////////////////////////////////////////////////
23
24#include <TMath.h>
25
26#include "AliLog.h"
27
28#include "AliTRDcluster.h"
29#include "AliTRDgeometry.h"
30#include "AliTRDCommonParam.h"
31#include "AliTRDtrackletWord.h"
32
33ClassImp(AliTRDcluster)
34
35const Int_t AliTRDcluster::fgkNlut = 128;
36Double_t *AliTRDcluster::fgLUT = 0x0;
37
38//___________________________________________________________________________
39AliTRDcluster::AliTRDcluster()
40 :AliCluster()
41 ,fPadCol(0)
42 ,fPadRow(0)
43 ,fPadTime(0)
44 ,fLocalTimeBin(0)
45 ,fNPads(0)
46 ,fClusterMasking(0)
47 ,fDetector(0)
48 ,fQ(0)
49 ,fCenter(0)
50{
51 //
52 // Default constructor
53 //
54
55 for (Int_t i = 0; i < 7; i++) {
56 fSignals[i] = 0;
57 }
58 SetBit(kLUT);
59}
60
61//___________________________________________________________________________
62AliTRDcluster::AliTRDcluster(Int_t det, UChar_t col, UChar_t row, UChar_t time
63 , const Short_t *sig, UShort_t vid)
64 :AliCluster()
65 ,fPadCol(col)
66 ,fPadRow(row)
67 ,fPadTime(time)
68 ,fLocalTimeBin(0)
69 ,fNPads(0)
70 ,fClusterMasking(0)
71 ,fDetector(det)
72 ,fQ(0.)
73 ,fCenter(0.)
74{
75 //
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.
78 //
79 // A.Bercuci <A.Bercuci@gsi.de>
80
81 memcpy(&fSignals, sig, 7*sizeof(Short_t));
82 fQ = fSignals[2]+fSignals[3]+fSignals[4];
83 SetVolumeId(vid);
84 SetBit(kLUT);
85}
86
87//___________________________________________________________________________
88AliTRDcluster::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)
94 ,fPadCol(col)
95 ,fPadRow(row)
96 ,fPadTime(time)
97 ,fLocalTimeBin(timebin)
98 ,fNPads(npads)
99 ,fClusterMasking(0)
100 ,fDetector(det)
101 ,fQ(q)
102 ,fCenter(center)
103{
104 //
105 // Constructor
106 //
107
108 for (Int_t i = 0; i < 7; i++) {
109 fSignals[i] = signals[i];
110 }
111
112 if (tracks) {
113 AddTrackIndex(tracks);
114 }
115 SetBit(kLUT);
116}
117
118//_____________________________________________________________________________
119AliTRDcluster::AliTRDcluster(const AliTRDtrackletWord *const tracklet, Int_t det, UShort_t volid)
120 :AliCluster(volid,tracklet->GetX(),tracklet->GetY(),tracklet->GetZ(),0,0,0)
121 ,fPadCol(0)
122 ,fPadRow(0)
123 ,fPadTime(0)
124 ,fLocalTimeBin(0)
125 ,fNPads(0)
126 ,fClusterMasking(0)
127 ,fDetector(det)
128 ,fQ(0.)
129 ,fCenter(0.)
130{
131 //
132 // Constructor from online tracklet
133 //
134}
135
136//_____________________________________________________________________________
137AliTRDcluster::AliTRDcluster(const AliTRDcluster &c)
138 :AliCluster(c)
139 ,fPadCol(c.fPadCol)
140 ,fPadRow(c.fPadRow)
141 ,fPadTime(c.fPadTime)
142 ,fLocalTimeBin(c.fLocalTimeBin)
143 ,fNPads(c.fNPads)
144 ,fClusterMasking(c.fClusterMasking)
145 ,fDetector(c.fDetector)
146 ,fQ(c.fQ)
147 ,fCenter(c.fCenter)
148{
149 //
150 // Copy constructor
151 //
152
153 SetLabel(c.GetLabel(0),0);
154 SetLabel(c.GetLabel(1),1);
155 SetLabel(c.GetLabel(2),2);
156
157 SetY(c.GetY());
158 SetZ(c.GetZ());
159 AliCluster::SetSigmaY2(c.GetSigmaY2());
160 SetSigmaZ2(c.GetSigmaZ2());
161
162 for (Int_t i = 0; i < 7; i++) {
163 fSignals[i] = c.fSignals[i];
164 }
165
166}
167
168//_____________________________________________________________________________
169AliTRDcluster &AliTRDcluster::operator=(const AliTRDcluster &c)
170{
171 //
172 // Assignment operator
173 //
174
175 if (&c == this) {
176 return *this;
177 }
178
179 // Call the assignment operator of the base class
180 AliCluster::operator=(c);
181
182 fPadCol = c.fPadCol;
183 fPadRow = c.fPadRow;
184 fPadTime = c.fPadTime;
185 fLocalTimeBin = c.fLocalTimeBin;
186 fNPads = c.fNPads;
187 fClusterMasking = c.fClusterMasking;
188 fDetector = c.fDetector;
189 fQ = c.fQ;
190 fCenter = c.fCenter;
191
192 SetLabel(c.GetLabel(0),0);
193 SetLabel(c.GetLabel(1),1);
194 SetLabel(c.GetLabel(2),2);
195
196 SetY(c.GetY());
197 SetZ(c.GetZ());
198 SetSigmaZ2(c.GetSigmaZ2());
199
200 for (Int_t i = 0; i < 7; i++) {
201 fSignals[i] = c.fSignals[i];
202 }
203
204 return *this;
205
206}
207
208//_____________________________________________________________________________
209void AliTRDcluster::AddTrackIndex(const Int_t * const track)
210{
211 //
212 // Adds track index. Currently assumed that track is an array of
213 // size 9, and up to 3 track indexes are stored in fTracks[3].
214 // Indexes are sorted according to:
215 // 1) index of max number of appearances is stored first
216 // 2) if two or more indexes appear equal number of times, the lowest
217 // ones are stored first;
218 //
219
220 const Int_t kSize = 9;
221 Int_t entries[kSize][2];
222
223 Int_t i = 0;
224 Int_t j = 0;
225 Int_t k = 0;
226 Int_t index;
227 Bool_t indexAdded;
228
229 for (i = 0; i < kSize; i++) {
230 entries[i][0] = -1;
231 entries[i][1] = 0;
232 }
233
234 for (k = 0; k < kSize; k++) {
235
236 index = track[k];
237 indexAdded = kFALSE;
238
239 j = 0;
240 if (index >= 0) {
241 while ((!indexAdded) && (j < kSize)) {
242 if ((entries[j][0] == index) ||
243 (entries[j][1] == 0)) {
244 entries[j][0] = index;
245 entries[j][1] = entries[j][1] + 1;
246 indexAdded = kTRUE;
247 }
248 j++;
249 }
250 }
251
252 }
253
254 // Sort by number of appearances and index value
255 Int_t swap = 1;
256 Int_t tmp0;
257 Int_t tmp1;
258 while (swap > 0) {
259 swap = 0;
260 for (i = 0; i < (kSize - 1); i++) {
261 if ((entries[i][0] >= 0) &&
262 (entries[i+1][0] >= 0)) {
263 if ((entries[i][1] < entries[i+1][1]) ||
264 ((entries[i][1] == entries[i+1][1]) &&
265 (entries[i][0] > entries[i+1][0]))) {
266 tmp0 = entries[i][0];
267 tmp1 = entries[i][1];
268 entries[i][0] = entries[i+1][0];
269 entries[i][1] = entries[i+1][1];
270 entries[i+1][0] = tmp0;
271 entries[i+1][1] = tmp1;
272 swap++;
273 }
274 }
275 }
276 }
277
278 // Set track indexes
279 for (i = 0; i < 3; i++) {
280 SetLabel(entries[i][0],i);
281 }
282
283 return;
284
285}
286
287//_____________________________________________________________________________
288void AliTRDcluster::Clear(Option_t *)
289{
290 //
291 // Reset all member to the default value
292 //
293 fPadCol=0;
294 fPadRow=0;
295 fPadTime=0;
296 fLocalTimeBin=0;
297 fNPads=0;
298 fClusterMasking=0;
299 fDetector=0;
300 for (Int_t i=0; i < 7; i++) fSignals[i]=0;
301 fQ = 0;
302 fCenter = 0;
303 for (Int_t i = 0; i < 3; i++) SetLabel(0,i);
304 SetX(0.);
305 SetY(0.);
306 SetZ(0.);
307 AliCluster::SetSigmaY2(0.);
308 SetSigmaZ2(0.);
309 SetVolumeId(0);
310}
311
312//_____________________________________________________________________________
313Float_t AliTRDcluster::GetSumS() const
314{
315 //
316 // Returns the total charge from a not unfolded cluster
317 //
318
319 Float_t sum = 0.0;
320 for (Int_t i = 0; i < 7; i++) {
321 sum += fSignals[i];
322 }
323
324 return sum;
325
326}
327
328//___________________________________________________________________________
329Double_t AliTRDcluster::GetSX(Int_t tb, Double_t z)
330{
331 //
332 // Returns the error parameterization in the radial direction for TRD clusters as function of
333 // the calibrated time bin (tb) and optionally distance to anode wire (z). By default (no z information)
334 // the mean value over all cluster to wire distance is chosen.
335 //
336 // There are several contributions which are entering in the definition of the radial errors of the clusters.
337 // Although an analytic defition should be possible for the moment this is not yet available but instead a
338 // numerical parameterization is provided (see AliTRDclusterResolution::ProcessSigma() for the calibration
339 // method). The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis.
340 //
341 //Begin_Html
342 //<img src="TRD/clusterXerrorDiff2D.gif">
343 //End_Html
344 //
345 // Here is a list of uncertainty components:
346 // - Time Response Function (TRF) - the major contribution. since TRF is also not symmetric (even if tail is
347 // cancelled) it also creates a systematic shift dependent on the charge distribution before and after the cluster.
348 // - longitudinal diffusion - increase the width of TRF and scales with square root of drift length
349 // - variation in the drift velocity within the drift cell
350 //
351 // Author
352 // A.Bercuci <A.Bercuci@gsi.de>
353 //
354
355 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
356 static const Double_t sx[24][10]={
357 {0.000e+00, 9.352e-01, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 2.309e+00},
358 {8.387e-02, 8.718e-02, 8.816e-02, 9.444e-02, 9.993e-02, 1.083e-01, 1.161e-01, 1.280e-01, 1.417e-01, 1.406e-01},
359 {1.097e-01, 1.105e-01, 1.127e-01, 1.151e-01, 1.186e-01, 1.223e-01, 1.272e-01, 1.323e-01, 1.389e-01, 1.490e-01},
360 {1.407e-01, 1.404e-01, 1.414e-01, 1.430e-01, 1.429e-01, 1.449e-01, 1.476e-01, 1.494e-01, 1.515e-01, 1.589e-01},
361 {1.681e-01, 1.679e-01, 1.666e-01, 1.657e-01, 1.656e-01, 1.649e-01, 1.652e-01, 1.662e-01, 1.671e-01, 1.694e-01},
362 {1.745e-01, 1.737e-01, 1.707e-01, 1.690e-01, 1.643e-01, 1.610e-01, 1.612e-01, 1.628e-01, 1.638e-01, 1.659e-01},
363 {1.583e-01, 1.558e-01, 1.535e-01, 1.488e-01, 1.445e-01, 1.419e-01, 1.428e-01, 1.451e-01, 1.462e-01, 1.494e-01},
364 {1.414e-01, 1.391e-01, 1.368e-01, 1.300e-01, 1.256e-01, 1.259e-01, 1.285e-01, 1.326e-01, 1.358e-01, 1.406e-01},
365 {1.307e-01, 1.289e-01, 1.261e-01, 1.216e-01, 1.193e-01, 1.165e-01, 1.201e-01, 1.241e-01, 1.274e-01, 1.344e-01},
366 {1.251e-01, 1.227e-01, 1.208e-01, 1.155e-01, 1.110e-01, 1.116e-01, 1.133e-01, 1.187e-01, 1.229e-01, 1.308e-01},
367 {1.234e-01, 1.209e-01, 1.175e-01, 1.127e-01, 1.094e-01, 1.093e-01, 1.109e-01, 1.155e-01, 1.210e-01, 1.275e-01},
368 {1.215e-01, 1.187e-01, 1.156e-01, 1.108e-01, 1.070e-01, 1.065e-01, 1.090e-01, 1.134e-01, 1.196e-01, 1.251e-01},
369 {1.202e-01, 1.180e-01, 1.151e-01, 1.108e-01, 1.070e-01, 1.058e-01, 1.089e-01, 1.127e-01, 1.183e-01, 1.256e-01},
370 {1.207e-01, 1.176e-01, 1.142e-01, 1.109e-01, 1.072e-01, 1.069e-01, 1.088e-01, 1.122e-01, 1.182e-01, 1.252e-01},
371 {1.213e-01, 1.182e-01, 1.156e-01, 1.102e-01, 1.076e-01, 1.063e-01, 1.091e-01, 1.132e-01, 1.181e-01, 1.243e-01},
372 {1.205e-01, 1.180e-01, 1.150e-01, 1.104e-01, 1.072e-01, 1.063e-01, 1.083e-01, 1.132e-01, 1.183e-01, 1.243e-01},
373 {1.212e-01, 1.195e-01, 1.135e-01, 1.107e-01, 1.070e-01, 1.065e-01, 1.097e-01, 1.126e-01, 1.185e-01, 1.238e-01},
374 {1.201e-01, 1.184e-01, 1.155e-01, 1.111e-01, 1.088e-01, 1.075e-01, 1.089e-01, 1.131e-01, 1.189e-01, 1.237e-01},
375 {1.197e-01, 1.186e-01, 1.147e-01, 1.113e-01, 1.085e-01, 1.077e-01, 1.105e-01, 1.137e-01, 1.188e-01, 1.245e-01},
376 {1.213e-01, 1.194e-01, 1.154e-01, 1.114e-01, 1.091e-01, 1.082e-01, 1.098e-01, 1.140e-01, 1.194e-01, 1.247e-01},
377 {1.210e-01, 1.189e-01, 1.155e-01, 1.119e-01, 1.088e-01, 1.080e-01, 1.105e-01, 1.141e-01, 1.195e-01, 1.244e-01},
378 {1.196e-01, 1.189e-01, 1.145e-01, 1.105e-01, 1.095e-01, 1.083e-01, 1.087e-01, 1.121e-01, 1.173e-01, 1.208e-01},
379 {1.123e-01, 1.129e-01, 1.108e-01, 1.110e-01, 1.080e-01, 1.065e-01, 1.056e-01, 1.066e-01, 1.071e-01, 1.095e-01},
380 {1.136e-01, 1.135e-01, 1.130e-01, 1.122e-01, 1.113e-01, 1.071e-01, 1.041e-01, 1.025e-01, 1.014e-01, 9.973e-02}
381 };
382 if(z>=0. && z<.25) return sx[tb][Int_t(z/.025)];
383
384 Double_t m = 0.; for(Int_t id=10; id--;) m+=sx[tb][id];
385 return m*.1;
386
387}
388
389//___________________________________________________________________________
390Double_t AliTRDcluster::GetSYdrift(Int_t tb, Int_t ly, Double_t/* z*/)
391{
392 //
393 // Returns the error parameterization for TRD clusters as function of the drift length (here calibrated time bin tb)
394 // and optionally distance to anode wire (z) for the LUT r-phi cluster shape. By default (no z information) the largest
395 // value over all cluster to wire values is chosen.
396 //
397 // For the LUT method the dependence of s_y with x and d is obtained via a fit to the cluster to MC
398 // resolution. (see class AliTRDclusterResolution for more details). A normalization to the reference radial position
399 // x0 = 0.675 (tb=5 for ideal vd) is also applied (see GetSYprf()). The function is *NOT* calibration aware !
400 // The result is displayed in the figure below as a 2D plot and also as the projection on the drift axis. A comparison
401 // with the GAUS parameterization is also given
402 //
403 // For the GAUS method the dependence of s_y with x is *analytic* and it is expressed by the relation.
404 // BEGIN_LATEX
405 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
406 // END_LATEX
407 // The result is displayed in the figure below as function of the drift time and compared with the LUT parameterization.
408 //Begin_Html
409 //<img src="TRD/clusterYerrorDiff2D.gif">
410 //<img src="TRD/clusterYerrorDiff1D.gif">
411 //End_Html
412 //
413 // Author
414 // A.Bercuci <A.Bercuci@gsi.de>
415 //
416
417 if(tb<1 || tb>=24) return 10.; // return huge [10cm]
418 static const Float_t lSy[6][24] = {
419 {75.7561, 0.0325, 0.0175, 0.0174, 0.0206, 0.0232,
420 0.0253, 0.0262, 0.0265, 0.0264, 0.0266, 0.0257,
421 0.0258, 0.0261, 0.0259, 0.0253, 0.0257, 0.0261,
422 0.0255, 0.0250, 0.0259, 0.0266, 0.0278, 0.0319
423 },
424 {49.2252, 0.0371, 0.0204, 0.0189, 0.0230, 0.0261,
425 0.0281, 0.0290, 0.0292, 0.0286, 0.0277, 0.0279,
426 0.0285, 0.0281, 0.0291, 0.0281, 0.0281, 0.0282,
427 0.0272, 0.0282, 0.0282, 0.0284, 0.0310, 0.0334
428 },
429 {55.1674, 0.0388, 0.0212, 0.0200, 0.0239, 0.0271,
430 0.0288, 0.0299, 0.0306, 0.0300, 0.0296, 0.0303,
431 0.0293, 0.0290, 0.0291, 0.0294, 0.0295, 0.0290,
432 0.0293, 0.0292, 0.0292, 0.0293, 0.0316, 0.0358
433 },
434 {45.1004, 0.0411, 0.0225, 0.0215, 0.0249, 0.0281,
435 0.0301, 0.0315, 0.0320, 0.0308, 0.0318, 0.0321,
436 0.0312, 0.0311, 0.0316, 0.0315, 0.0310, 0.0308,
437 0.0313, 0.0303, 0.0314, 0.0314, 0.0324, 0.0369
438 },
439 {43.8614, 0.0420, 0.0239, 0.0224, 0.0268, 0.0296,
440 0.0322, 0.0336, 0.0333, 0.0326, 0.0321, 0.0325,
441 0.0329, 0.0326, 0.0323, 0.0322, 0.0326, 0.0320,
442 0.0329, 0.0319, 0.0314, 0.0329, 0.0341, 0.0373
443 },
444 {40.5440, 0.0434, 0.0246, 0.0236, 0.0275, 0.0311,
445 0.0332, 0.0345, 0.0347, 0.0347, 0.0340, 0.0336,
446 0.0339, 0.0344, 0.0339, 0.0341, 0.0341, 0.0342,
447 0.0345, 0.0328, 0.0341, 0.0332, 0.0356, 0.0398
448 },
449 };
450 // adjusted ...
451 return TMath::Max(lSy[ly][tb]-0.0150, 0.0010);
452
453/* const Double_t sy[24][10]={
454 {0.000e+00, 2.610e-01, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 0.000e+00, 4.680e-01},
455 {3.019e-02, 3.036e-02, 3.131e-02, 3.203e-02, 3.294e-02, 3.407e-02, 3.555e-02, 3.682e-02, 3.766e-02, 3.824e-02},
456 {1.773e-02, 1.778e-02, 1.772e-02, 1.790e-02, 1.807e-02, 1.833e-02, 1.873e-02, 1.905e-02, 1.958e-02, 2.029e-02},
457 {1.774e-02, 1.772e-02, 1.746e-02, 1.738e-02, 1.756e-02, 1.756e-02, 1.739e-02, 1.720e-02, 1.743e-02, 1.769e-02},
458 {2.064e-02, 2.078e-02, 2.069e-02, 2.060e-02, 2.033e-02, 2.024e-02, 2.022e-02, 1.961e-02, 1.922e-02, 1.901e-02},
459 {2.382e-02, 2.379e-02, 2.371e-02, 2.333e-02, 2.318e-02, 2.285e-02, 2.255e-02, 2.244e-02, 2.174e-02, 2.132e-02},
460 {2.615e-02, 2.589e-02, 2.539e-02, 2.493e-02, 2.420e-02, 2.396e-02, 2.362e-02, 2.342e-02, 2.321e-02, 2.330e-02},
461 {2.640e-02, 2.638e-02, 2.577e-02, 2.548e-02, 2.477e-02, 2.436e-02, 2.416e-02, 2.401e-02, 2.399e-02, 2.402e-02},
462 {2.647e-02, 2.632e-02, 2.587e-02, 2.546e-02, 2.465e-02, 2.447e-02, 2.429e-02, 2.415e-02, 2.429e-02, 2.475e-02},
463 {2.657e-02, 2.637e-02, 2.580e-02, 2.525e-02, 2.492e-02, 2.441e-02, 2.446e-02, 2.441e-02, 2.478e-02, 2.491e-02},
464 {2.640e-02, 2.608e-02, 2.583e-02, 2.539e-02, 2.478e-02, 2.440e-02, 2.456e-02, 2.464e-02, 2.486e-02, 2.533e-02},
465 {2.636e-02, 2.630e-02, 2.584e-02, 2.542e-02, 2.483e-02, 2.451e-02, 2.449e-02, 2.467e-02, 2.496e-02, 2.554e-02},
466 {2.634e-02, 2.629e-02, 2.583e-02, 2.526e-02, 2.480e-02, 2.460e-02, 2.458e-02, 2.472e-02, 2.518e-02, 2.549e-02},
467 {2.629e-02, 2.621e-02, 2.581e-02, 2.527e-02, 2.480e-02, 2.458e-02, 2.451e-02, 2.485e-02, 2.516e-02, 2.547e-02},
468 {2.629e-02, 2.607e-02, 2.573e-02, 2.543e-02, 2.485e-02, 2.464e-02, 2.452e-02, 2.476e-02, 2.505e-02, 2.550e-02},
469 {2.635e-02, 2.613e-02, 2.578e-02, 2.523e-02, 2.491e-02, 2.465e-02, 2.470e-02, 2.467e-02, 2.515e-02, 2.564e-02},
470 {2.613e-02, 2.602e-02, 2.587e-02, 2.526e-02, 2.507e-02, 2.482e-02, 2.456e-02, 2.486e-02, 2.509e-02, 2.572e-02},
471 {2.620e-02, 2.599e-02, 2.563e-02, 2.528e-02, 2.484e-02, 2.462e-02, 2.464e-02, 2.476e-02, 2.513e-02, 2.571e-02},
472 {2.634e-02, 2.596e-02, 2.565e-02, 2.519e-02, 2.497e-02, 2.457e-02, 2.450e-02, 2.481e-02, 2.511e-02, 2.540e-02},
473 {2.593e-02, 2.589e-02, 2.563e-02, 2.511e-02, 2.472e-02, 2.453e-02, 2.452e-02, 2.474e-02, 2.501e-02, 2.543e-02},
474 {2.576e-02, 2.582e-02, 2.526e-02, 2.505e-02, 2.462e-02, 2.446e-02, 2.445e-02, 2.466e-02, 2.486e-02, 2.510e-02},
475 {2.571e-02, 2.549e-02, 2.533e-02, 2.501e-02, 2.453e-02, 2.443e-02, 2.445e-02, 2.450e-02, 2.448e-02, 2.469e-02},
476 {2.812e-02, 2.786e-02, 2.776e-02, 2.723e-02, 2.695e-02, 2.650e-02, 2.642e-02, 2.617e-02, 2.612e-02, 2.610e-02},
477 {3.251e-02, 3.267e-02, 3.223e-02, 3.183e-02, 3.125e-02, 3.106e-02, 3.067e-02, 3.010e-02, 2.936e-02, 2.927e-02}
478 };
479 if(z>=0. && z<.25) return sy[tb][Int_t(z/.025)] - sy[5][Int_t(z/.025)];
480
481 Double_t m = -1.e8; for(Int_t id=10; id--;) if((sy[tb][id] - sy[5][id])>m) m=sy[tb][id]-sy[5][id];
482
483 return m;*/
484}
485
486//___________________________________________________________________________
487Double_t AliTRDcluster::GetSYcharge(Float_t q)
488{
489 //
490 // Parameterization of the r-phi resolution component due to cluster charge.
491 // The value is the offset from the nominal cluster resolution defined as the
492 // cluster resolution at average cluster charge (q0).
493 //
494 // BEGIN_LATEX
495 // #Delta #sigma_{y}(q) = a*(#frac{1}{q} - #frac{1}{q_{0}})
496 // q_{0} #approx 50
497 // END_LATEX
498 // The definition is *NOT* robust against gain fluctuations and thus two approaches are possible
499 // when residual miscalibration are available:
500 // - determine parameterization with a resolution matching those of the gain
501 // - define an analytic model which scales with the gain.
502 //
503 // For more details please see AliTRDclusterResolution::ProcessCharge()
504 //
505 //Begin_Html
506 //<img src="TRD/clusterQerror.gif">
507 //End_Html
508 //
509 // Author
510 // A.Bercuci <A.Bercuci@gsi.de>
511 //
512
513 const Float_t sq0inv = 0.019962; // [1/q0]
514 const Float_t sqb = 0.037328; // [cm]
515
516 return sqb*(1./q - sq0inv);
517}
518
519//___________________________________________________________________________
520Double_t AliTRDcluster::GetSYprf(Int_t ly, Double_t center, Double_t s2)
521{
522 //
523 // Parameterization of the cluster error in the r-phi direction due to charge sharing between
524 // adiacent pads. Should be identical to what is provided in the OCDB as PRF [TODO]
525 //
526 // The parameterization is obtained from fitting cluster resolution at phi=exb and |x-0.675|<0.225.
527 // For more details see AliTRDclusterResolution::ProcessCenter().
528 //
529 //Begin_Html
530 //<img src="TRD/clusterPRFerror.gif">
531 //End_Html
532 //
533 // Author
534 // A.Bercuci <A.Bercuci@gsi.de>
535 //
536
537/* const Float_t scy[AliTRDgeometry::kNlayer][4] = {
538 {2.827e-02, 9.600e-04, 4.296e-01, 2.271e-02},
539 {2.952e-02,-2.198e-04, 4.146e-01, 2.339e-02},
540 {3.090e-02, 1.514e-03, 4.020e-01, 2.402e-02},
541 {3.260e-02,-2.037e-03, 3.946e-01, 2.509e-02},
542 {3.439e-02,-3.601e-04, 3.883e-01, 2.623e-02},
543 {3.510e-02, 2.066e-03, 3.651e-01, 2.588e-02},
544 };*/
545 const Float_t lPRF[] = {0.438, 0.403, 0.393, 0.382, 0.376, 0.345};
546
547 return s2*TMath::Gaus(center, 0., lPRF[ly]);
548}
549
550
551//___________________________________________________________________________
552Double_t AliTRDcluster::GetXcorr(Int_t tb, Double_t z)
553{
554 //
555 // Drift length correction [cm]. Due to variation of mean drift velocity along the drift region
556 // from nominal vd at xd->infinity. For drift velocity determination based on tracking information
557 // the correction should be negligible.
558 //Begin_Html
559 //<img src="TRD/clusterXcorr.gif">
560 //End_Html
561 // TODO to be parametrized in term of drift velocity at infinite drift length
562 // A.Bercuci (Mar 28 2009)
563 //
564
565 if(tb<0 || tb>=24) return 0.;
566 const Int_t nd = 5;
567 static const Double_t dx[24][nd]={
568 {+1.747e-01,+3.195e-01,+1.641e-01,+1.607e-01,+6.002e-01},
569 {+5.468e-02,+5.760e-02,+6.365e-02,+8.003e-02,+1.067e-01},
570 {-6.327e-02,-6.339e-02,-6.423e-02,-6.900e-02,-7.949e-02},
571 {-1.417e-01,-1.424e-01,-1.450e-01,-1.465e-01,-1.514e-01},
572 {-1.637e-01,-1.619e-01,-1.622e-01,-1.613e-01,-1.648e-01},
573 {-1.386e-01,-1.334e-01,-1.261e-01,-1.276e-01,-1.314e-01},
574 {-8.799e-02,-8.299e-02,-7.861e-02,-8.038e-02,-8.436e-02},
575 {-5.139e-02,-4.849e-02,-4.641e-02,-4.965e-02,-5.286e-02},
576 {-2.927e-02,-2.773e-02,-2.807e-02,-3.021e-02,-3.378e-02},
577 {-1.380e-02,-1.229e-02,-1.335e-02,-1.547e-02,-1.984e-02},
578 {-4.168e-03,-4.601e-03,-5.462e-03,-8.164e-03,-1.035e-02},
579 {+2.044e-03,+1.889e-03,+9.603e-04,-1.342e-03,-3.736e-03},
580 {+3.568e-03,+3.581e-03,+2.391e-03,+2.942e-05,-1.585e-03},
581 {+4.403e-03,+4.571e-03,+3.509e-03,+8.703e-04,-1.425e-03},
582 {+4.941e-03,+4.808e-03,+3.284e-03,+1.105e-03,-1.208e-03},
583 {+5.124e-03,+5.022e-03,+4.305e-03,+2.023e-03,-1.145e-03},
584 {+4.882e-03,+4.008e-03,+3.408e-03,+7.886e-04,-1.356e-03},
585 {+3.852e-03,+3.539e-03,+2.057e-03,+1.670e-04,-1.993e-03},
586 {+2.154e-03,+2.111e-03,+5.723e-04,-1.254e-03,-3.256e-03},
587 {+1.755e-03,+2.101e-03,+9.516e-04,-1.649e-03,-3.394e-03},
588 {+1.617e-03,+1.662e-03,+4.169e-04,-9.843e-04,-4.309e-03},
589 {-9.204e-03,-9.069e-03,-1.182e-02,-1.458e-02,-1.880e-02},
590 {-6.727e-02,-6.820e-02,-6.804e-02,-7.134e-02,-7.615e-02},
591 {-1.802e-01,-1.733e-01,-1.633e-01,-1.601e-01,-1.632e-01}
592 };
593// const Double_t dx[24][nd]={
594// {+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00,+0.000e+00},
595// {-2.763e-04,-2.380e-04,-6.286e-04,-9.424e-04,+1.046e-03,+1.932e-03,+1.620e-03,+1.951e-03,-1.321e-03,-1.115e-03},
596// {-1.825e-03,-9.245e-04,-1.012e-03,-8.215e-04,+2.703e-05,+1.403e-03,+2.340e-03,+2.577e-03,+2.017e-03,+8.006e-04},
597// {-3.070e-03,-8.563e-04,-1.257e-03,+8.491e-05,+4.503e-04,-2.467e-05,-1.793e-04,+5.085e-04,+1.321e-03,+4.056e-04},
598// {-3.637e-03,-2.857e-03,-3.098e-03,-2.304e-03,-1.467e-03,-1.755e-03,+4.585e-04,+2.757e-03,+3.184e-03,+3.525e-03},
599// {-9.884e-03,-7.695e-03,-7.290e-03,-3.990e-03,-9.982e-04,+2.226e-03,+3.375e-03,+6.419e-03,+7.209e-03,+6.891e-03},
600// {-6.844e-03,-5.807e-03,-4.012e-03,-1.566e-03,+5.035e-04,+2.024e-03,+3.225e-03,+3.918e-03,+5.942e-03,+6.024e-03},
601// {-2.628e-03,-2.201e-03,-4.562e-04,+9.832e-04,+3.411e-03,+2.062e-03,+1.526e-03,+9.350e-04,+8.842e-04,+1.007e-03},
602// {+6.603e-04,+1.545e-03,+1.681e-03,+1.918e-03,+2.165e-03,+1.825e-03,+1.691e-03,-1.923e-04,+1.835e-04,-1.284e-03},
603// {+1.895e-03,+1.586e-03,+2.000e-03,+3.537e-03,+2.526e-03,+1.316e-03,+8.229e-04,-7.671e-05,-2.175e-03,-3.528e-03},
604// {+2.927e-03,+3.369e-03,+3.603e-03,+2.675e-03,+2.737e-03,+1.133e-03,+4.318e-04,-1.215e-03,-2.443e-03,-3.116e-03},
605// {+3.072e-03,+3.564e-03,+3.612e-03,+3.149e-03,+2.768e-03,+1.186e-03,+3.083e-04,-1.447e-03,-2.480e-03,-3.263e-03},
606// {+2.697e-03,+3.565e-03,+3.759e-03,+2.855e-03,+2.909e-03,+6.564e-04,-5.224e-04,-3.309e-04,-1.636e-03,-3.739e-03},
607// {+3.633e-03,+3.232e-03,+3.727e-03,+3.024e-03,+3.365e-03,+1.598e-03,-6.903e-04,-1.039e-03,-3.176e-03,-4.472e-03},
608// {+2.999e-03,+3.942e-03,+3.322e-03,+3.162e-03,+1.978e-03,+1.657e-03,-4.760e-04,-8.343e-04,-2.346e-03,-3.281e-03},
609// {+3.734e-03,+3.098e-03,+3.435e-03,+2.512e-03,+2.651e-03,+1.745e-03,+9.424e-04,-1.404e-03,-3.177e-03,-4.444e-03},
610// {+3.204e-03,+4.003e-03,+3.068e-03,+2.697e-03,+3.187e-03,+3.878e-04,-1.124e-04,-1.855e-03,-2.584e-03,-3.807e-03},
611// {+2.653e-03,+3.631e-03,+2.327e-03,+3.460e-03,+1.810e-03,+1.244e-03,-3.651e-04,-2.664e-04,-2.307e-03,-3.642e-03},
612// {+2.538e-03,+3.208e-03,+2.390e-03,+3.519e-03,+1.763e-03,+1.330e-04,+1.669e-04,-1.422e-03,-1.685e-03,-3.519e-03},
613// {+2.605e-03,+2.465e-03,+2.771e-03,+2.966e-03,+2.361e-03,+6.029e-04,-4.435e-04,-1.876e-03,-1.694e-03,-3.757e-03},
614// {+2.866e-03,+3.315e-03,+3.146e-03,+2.117e-03,+1.933e-03,+9.339e-04,+9.556e-04,-1.314e-03,-3.615e-03,-3.558e-03},
615// {+4.002e-03,+3.543e-03,+3.631e-03,+4.127e-03,+1.919e-03,-2.852e-04,-9.484e-04,-2.060e-03,-4.477e-03,-5.491e-03},
616// {+6.029e-03,+5.147e-03,+4.286e-03,+2.215e-03,+9.240e-04,-1.554e-03,-2.366e-03,-3.635e-03,-5.372e-03,-6.467e-03},
617// {+3.941e-03,+3.995e-03,+5.638e-04,-3.332e-04,-2.539e-03,-3.764e-03,-3.647e-03,-4.900e-03,-5.414e-03,-5.202e-03}
618// };
619 if(z>=0. && z<.25) return dx[tb][Int_t(z/.025)];
620
621 Double_t m = 0.; for(Int_t id=nd; id--;) m+=dx[tb][id];
622 return m/nd;
623}
624
625//___________________________________________________________________________
626Double_t AliTRDcluster::GetYcorr(Int_t ly, Float_t y)
627{
628 //
629 // PRF correction for the LUT r-phi cluster shape.
630 //Begin_Html
631 //<img src="TRD/clusterYcorr.gif">
632 //End_Html
633 //
634
635 static const Float_t cy[AliTRDgeometry::kNlayer][3] = {
636 { 4.014e-04, 8.605e-03, -6.880e+00},
637 {-3.061e-04, 9.663e-03, -6.789e+00},
638 { 1.124e-03, 1.105e-02, -6.825e+00},
639 {-1.527e-03, 1.231e-02, -6.777e+00},
640 { 2.150e-03, 1.387e-02, -6.783e+00},
641 {-1.296e-03, 1.486e-02, -6.825e+00}
642 };
643
644 return cy[ly][0] + cy[ly][1] * TMath::Sin(cy[ly][2] * y);
645}
646
647//_____________________________________________________________________________
648Float_t AliTRDcluster::GetXloc(Double_t t0, Double_t vd
649 , const Double_t *const /*q*/
650 , const Double_t *const /*xq*/
651 , Double_t /*z*/)
652{
653 //
654 // (Re)Calculate cluster position in the x direction in local chamber coordinates (with respect to the anode wire
655 // position) using all available information from tracking.
656 // Input parameters:
657 // t0 - calibration aware trigger delay [us]
658 // vd - drift velocity in the region of the cluster [cm/us]
659 // z - distance to the anode wire [cm]. By default average over the drift cell width.
660 // q & xq - array of charges and cluster positions from previous clusters in the tracklet [a.u.]
661 // Output values :
662 // return x position of the cluster with respect to the
663 // anode wire using all tracking information
664 //
665 // The estimation of the radial position is based on calculating the drift time and the drift velocity at the point of
666 // estimation. The drift time can be estimated according to the expression:
667 // BEGIN_LATEX
668 // t_{drift} = t_{bin} - t_{0} - t_{cause}(x) - t_{TC}(q_{i-1}, q_{i-2}, ...)
669 // END_LATEX
670 // where t_0 is the delay of the trigger signal. t_cause is the causality delay between ionisation electrons hitting
671 // the anode and the registration of maximum signal by the electronics - it is due to the rising time of the TRF
672 // A second order correction here comes from the fact that the time spreading of charge at anode is the convolution of
673 // TRF with the diffusion and thus cross-talk between clusters before and after local clusters changes with drift length.
674 // t_TC is the residual charge from previous (in time) clusters due to residual tails after tail cancellation.
675 // This tends to push cluster forward and depends on the magnitude of their charge.
676 //
677 // The drift velocity varies with the drift length (and distance to anode wire) as described by cell structure simulation.
678 // Thus one, in principle, can calculate iteratively the drift length from the expression:
679 // BEGIN_LATEX
680 // x = t_{drift}(x)*v_{drift}(x)
681 // END_LATEX
682 // In practice we use a numerical approach (AliTRDcluster::GetXcorr()) to correct for anisochronity obtained from MC
683 // comparison (see AliTRDclusterResolution::ProcessSigma()). Also the calibration of 0 approximation (no x dependence)
684 // for t_cause is obtained from MC comparisons and impossible to disentangle in real life from trigger delay.
685 //
686 // Author
687 // Alex Bercuci <A.Bercuci@gsi.de>
688 //
689
690 AliTRDCommonParam *cp = AliTRDCommonParam::Instance();
691 Double_t fFreq = cp->GetSamplingFrequency();
692
693 //drift time corresponding to the center of the time bin
694 Double_t td = (fPadTime + .5)/fFreq; // [us]
695 // correction for t0
696 td -= t0;
697 // time bin corrected for t0
698 // Bug in TMath::Nint().root-5.23.02
699 // TMath::Nint(3.5) = 4 and TMath::Nint(4.5) = 4
700 Double_t tmp = td*fFreq;
701 fLocalTimeBin = Char_t(TMath::Floor(tmp));
702 if(tmp-fLocalTimeBin > .5) fLocalTimeBin++;
703 if(td < .2) return 0.;
704 // TRF rising time (fitted)
705 // It should be absorbed by the t0. For the moment t0 is 0 for simulations.
706 // A.Bercuci (Mar 26 2009)
707 td -= 0.189;
708
709 // apply fitted correction
710 Float_t x = td*vd + (HasXcorr() ? GetXcorr(fLocalTimeBin) : 0.);
711 if(x>0.&&x<.5*AliTRDgeometry::CamHght()+AliTRDgeometry::CdrHght()) SetInChamber();
712
713 return x;
714}
715
716//_____________________________________________________________________________
717Float_t AliTRDcluster::GetYloc(Double_t y0, Double_t s2, Double_t W
718 , Double_t *const y1, Double_t *const y2)
719{
720 //
721 // Calculate, in tracking cooordinate system, the r-phi offset the cluster
722 // from the middle of the center pad. Three possible methods are implemented:
723 // - Center of Gravity (COG) see AliTRDcluster::GetDYcog()
724 // - Look-up Table (LUT) see AliTRDcluster::GetDYlut()
725 // - Gauss shape (GAUS) see AliTRDcluster::GetDYgauss()
726 // In addition for the case of LUT method position corrections are also
727 // applied (see AliTRDcluster::GetYcorr())
728 //
729
730 if(IsRPhiMethod(kCOG)) GetDYcog();
731 else if(IsRPhiMethod(kLUT)) GetDYlut();
732 else if(IsRPhiMethod(kGAUS)) GetDYgauss(s2/W/W, y1, y2);
733 else return 0.;
734
735 if(y1) (*y1)*=W;
736 if(y2) (*y2)*=W;
737
738 return y0+fCenter*W+(IsRPhiMethod(kLUT)?GetYcorr(AliTRDgeometry::GetLayer(fDetector), fCenter):0.);
739}
740
741//___________________________________________________________________________
742void AliTRDcluster::SetSigmaY2(Float_t s2, Float_t dt, Float_t exb, Float_t x, Float_t z, Float_t tgp)
743{
744 //
745 // Set variance of TRD cluster in the r-phi direction for each method.
746 // Parameters :
747 // - s2 - variance due to PRF width for the case of Gauss model. Replaced by parameterization in case of LUT.
748 // - dt - transversal diffusion coeficient
749 // - exb - tg of lorentz angle
750 // - x - drift length - with respect to the anode wire
751 // - z - offset from the anode wire
752 // - tgp - local tangent of the track momentum azimuthal angle
753 //
754 // The ingredients from which the error is computed are:
755 // - PRF (charge sharing on adjacent pads) - see AliTRDcluster::GetSYprf()
756 // - diffusion (dependence with drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSYdrift()
757 // - charge of the cluster (complex dependence on gain and tail cancellation) - see AliTRDcluster::GetSYcharge()
758 // - lorentz angle (dependence on the drift length and [2nd order] distance to anode wire) - see AliTRDcluster::GetSX()
759 // - track angle (superposition of charges on the anode wire) - see AliTRDseedV1::Fit()
760 // - projection of radial(x) error on r-phi due to fixed value assumed in tracking for x - see AliTRDseedV1::Fit()
761 //
762 // The last 2 contributions to cluster error can be estimated only during tracking when the track angle
763 // is known (tgp). For this reason the errors (and optional position) of TRD clusters are recalculated during
764 // tracking and thus clusters attached to tracks might differ from bare clusters.
765 //
766 // Taking into account all contributions one can write the the TRD cluster error parameterization as:
767 // BEGIN_LATEX
768 // #sigma_{y}^{2} = (#sigma_{diff}*Gauss(0, s_{ly}) + #delta_{#sigma}(q))^{2} + tg^{2}(#alpha_{L})*#sigma_{x}^{2} + tg^{2}(#phi-#alpha_{L})*#sigma_{x}^{2}+[tg(#phi-#alpha_{L})*tg(#alpha_{L})*x]^{2}/12
769 // END_LATEX
770 // From this formula one can deduce a that the simplest calibration method for PRF and diffusion contributions is
771 // by measuring resolution at B=0T and phi=0. To disentangle further the two remaining contributions one has
772 // to represent s2 as a function of drift length.
773 //
774 // In the gaussian model the diffusion contribution can be expressed as:
775 // BEGIN_LATEX
776 // #sigma^{2}_{y} = #sigma^{2}_{PRF} + #frac{x#delta_{t}^{2}}{(1+tg(#alpha_{L}))^{2}}
777 // END_LATEX
778 // thus resulting the PRF contribution. For the case of the LUT model both contributions have to be determined from
779 // the fit (see AliTRDclusterResolution::ProcessCenter() for details).
780 //
781 // Author:
782 // A.Bercuci <A.Bercuci@gsi.de>
783 //
784
785 Float_t sigmaY2 = 0.;
786 Int_t ly = AliTRDgeometry::GetLayer(fDetector);
787 if(IsRPhiMethod(kCOG)) sigmaY2 = 4.e-4;
788 else if(IsRPhiMethod(kLUT)){
789 Float_t sd = GetSYdrift(fLocalTimeBin, ly, z); //printf("drift[%6.2f] ", 1.e4*sd);
790 sigmaY2 = GetSYprf(ly, fCenter, sd); //printf("PRF[%6.2f] ", 1.e4*sigmaY2);
791 // add charge contribution TODO scale with respect to s2
792 sigmaY2+= GetSYcharge(TMath::Abs(fQ)); //printf("Q[%6.2f] ", 1.e4*sigmaY2);
793 sigmaY2 = TMath::Max(sigmaY2, Float_t(0.0010)); //!! protection
794 sigmaY2*= sigmaY2;
795 } else if(IsRPhiMethod(kGAUS)){
796 // PRF contribution
797 sigmaY2 = s2;
798 // Diffusion contribution
799 Double_t sD2 = dt/(1.+exb); sD2 *= sD2; sD2 *= x;
800 sigmaY2+= sD2;
801 // add charge contribution TODO scale with respect to s2
802 //sigmaY2+= GetSYcharge(TMath::Abs(fQ));
803 }
804
805 // store tg^2(phi-a_L) and tg^2(a_L)
806 Double_t tgg = (tgp-exb)/(1.+tgp*exb); tgg *= tgg;
807 Double_t exb2= exb*exb;
808
809 // Lorentz angle shift contribution
810 Float_t sx = GetSX(fLocalTimeBin, z); sx*=sx;
811 sigmaY2+= exb2*sx; //printf("Al[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
812
813 // Radial contribution due to not measuring x in Kalman model
814 sigmaY2+= tgg*sx; //printf("x[%6.2f] ", 1.e4*TMath::Sqrt(sigmaY2));
815
816 // Track angle contribution
817 sigmaY2+= tgg*x*x*exb2/12.; //printf("angle[%6.2f]\n", 1.e4*TMath::Sqrt(sigmaY2));
818
819 AliCluster::SetSigmaY2(sigmaY2);
820
821}
822
823//_____________________________________________________________________________
824Bool_t AliTRDcluster::IsEqual(const TObject *o) const
825{
826 //
827 // Compare relevant information of this cluster with another one
828 //
829
830 const AliTRDcluster *inCluster = dynamic_cast<const AliTRDcluster*>(o);
831 if (!o || !inCluster) return kFALSE;
832
833 if ( AliCluster::GetX() != inCluster->GetX() ) return kFALSE;
834 if ( AliCluster::GetY() != inCluster->GetY() ) return kFALSE;
835 if ( AliCluster::GetZ() != inCluster->GetZ() ) return kFALSE;
836 if ( fQ != inCluster->fQ ) return kFALSE;
837 if ( fDetector != inCluster->fDetector ) return kFALSE;
838 if ( fPadCol != inCluster->fPadCol ) return kFALSE;
839 if ( fPadRow != inCluster->fPadRow ) return kFALSE;
840 if ( fPadTime != inCluster->fPadTime ) return kFALSE;
841 if ( fClusterMasking != inCluster->fClusterMasking ) return kFALSE;
842 if ( IsInChamber() != inCluster->IsInChamber() ) return kFALSE;
843 if ( IsShared() != inCluster->IsShared() ) return kFALSE;
844 if ( IsUsed() != inCluster->IsUsed() ) return kFALSE;
845
846 return kTRUE;
847
848}
849
850//_____________________________________________________________________________
851void AliTRDcluster::Print(Option_t *o) const
852{
853 //
854 // Print cluster information
855 //
856
857 if(strcmp(o, "a")==0) {
858 AliInfo(Form(
859 "\nDet[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]"
860 "\n LChC[c(%3d) r(%2d) t(%2d)] t-t0[%2d] Npad[%d] cen[%5.3f] mask[%d]"
861 "\n QS[%3d %3d %3d %3d %3d %3d %3d] S2[%e %e]"
862 , fDetector, GetX(), GetY(), GetZ(), fQ,
863 IsInChamber() ? 'y' : 'n',
864 IsUsed() ? 'y' : 'n',
865 IsShared() ? 'y' : 'n',
866 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
867 , fPadCol, fPadRow, fPadTime, fLocalTimeBin, fNPads, fCenter, fClusterMasking
868 , fSignals[0], fSignals[1], fSignals[2], fSignals[3]
869 , fSignals[4], fSignals[5], fSignals[6]
870 , GetSigmaY2(), GetSigmaZ2()));
871 } else {
872 AliInfo(Form("Det[%3d] LTrC[%+6.2f %+6.2f %+6.2f] Q[%5.1f] FLAG[in(%c) use(%c) sh(%c)] Y[%s]",
873 fDetector, GetX(), GetY(), GetZ(), fQ,
874 IsInChamber() ? 'y' : 'n',
875 IsUsed() ? 'y' : 'n',
876 IsShared() ? 'y' : 'n',
877 IsRPhiMethod(kGAUS)?"GAUS":(IsRPhiMethod(kLUT)?"LUT":"COG")
878 ));
879 }
880}
881
882//_____________________________________________________________________________
883void AliTRDcluster::SetPadMaskedPosition(UChar_t position)
884{
885 //
886 // Store the pad corruption position code
887 //
888 // Code: 1 = left cluster
889 // 2 = middle cluster;
890 // 4 = right cluster
891 //
892
893 for (Int_t ipos = 0; ipos < 3; ipos++) {
894 if (TESTBIT(position, ipos))
895 SETBIT(fClusterMasking, ipos);
896 }
897}
898
899//_____________________________________________________________________________
900void AliTRDcluster::SetPadMaskedStatus(UChar_t status)
901{
902 //
903 // Store the status of the corrupted pad
904 //
905 // Code: 2 = noisy
906 // 4 = Bridged Left
907 // 8 = Bridged Right
908 // 32 = Not Connected
909 //
910
911 for (Int_t ipos = 0; ipos < 5; ipos++) {
912 if(TESTBIT(status, ipos))
913 SETBIT(fClusterMasking, ipos + 3);
914 }
915
916}
917
918//___________________________________________________________________________
919Float_t AliTRDcluster::GetDYcog(const Double_t *const, const Double_t *const)
920{
921 //
922 // Get COG position
923 // Used for clusters with more than 3 pads - where LUT not applicable
924 //
925
926 Double_t sum = fSignals[1]
927 +fSignals[2]
928 +fSignals[3]
929 +fSignals[4]
930 +fSignals[5];
931
932 // ???????????? CBL
933 // Go to 3 pad COG ????
934 // ???????????? CBL
935 fCenter = (0.0 * (-fSignals[1] + fSignals[5])
936 + (-fSignals[2] + fSignals[4])) / sum;
937
938 return fCenter;
939}
940
941//___________________________________________________________________________
942Float_t AliTRDcluster::GetDYlut(const Double_t *const, const Double_t *const)
943{
944 //
945 // Calculates the cluster position using the lookup table.
946 // Method provided by Bogdan Vulpescu.
947 //
948
949 if(!fgLUT) FillLUT();
950
951 Double_t ampL = fSignals[2],
952 ampC = fSignals[3],
953 ampR = fSignals[4];
954 Int_t ilayer = AliTRDgeometry::GetLayer(fDetector);
955
956 Double_t x = 0.0;
957 Double_t xmin, xmax, xwid;
958
959 Int_t side = 0;
960 Int_t ix;
961
962 Double_t xMin[AliTRDgeometry::kNlayer] = {
963 0.006492, 0.006377, 0.006258, 0.006144, 0.006030, 0.005980
964 };
965 Double_t xMax[AliTRDgeometry::kNlayer] = {
966 0.960351, 0.965870, 0.970445, 0.974352, 0.977667, 0.996101
967 };
968
969 if (ampL > ampR) {
970 x = (ampL - ampR) / ampC;
971 side = -1;
972 }
973 else if (ampL < ampR) {
974 x = (ampR - ampL) / ampC;
975 side = +1;
976 }
977
978 if (ampL != ampR) {
979
980 xmin = xMin[ilayer] + 0.000005;
981 xmax = xMax[ilayer] - 0.000005;
982 xwid = (xmax - xmin) / 127.0;
983
984 if (x < xmin) fCenter = 0.0000;
985 else if (x > xmax) fCenter = side * 0.5000;
986 else {
987 ix = (Int_t) ((x - xmin) / xwid);
988 fCenter = side * fgLUT[ilayer*fgkNlut+ix];
989 }
990 } else fCenter = 0.0;
991
992 return fCenter;
993}
994
995//___________________________________________________________________________
996Float_t AliTRDcluster::GetDYgauss(Double_t s2w, Double_t *const y1, Double_t *const y2)
997{
998//
999// (Re)Calculate cluster position in the y direction in local chamber coordinates using all available information from tracking.
1000//
1001// Input parameters:
1002// s2 - sigma of gaussian parameterization (see bellow for the exact parameterization)
1003// W - pad width
1004// xd - drift length (with respect to the anode wire) [cm]
1005// wt - omega*tau = tg(a_L)
1006// Output values :
1007// y1 and y2 - partial positions based on 2 pads clusters
1008// return y position of the cluster from all information
1009//
1010// Estimation of y coordinate is based on the gaussian approximation of the PRF. Thus one may
1011// calculate the y position knowing the signals q_i-1, q_i and q_i+1 in the 3 adiacent pads by:
1012// BEGIN_LATEX
1013// y = #frac{1}{w_{1}+w_{2}}#[]{w_{1}#(){y_{0}-#frac{W}{2}+#frac{s^{2}}{W}ln#frac{q_{i}}{q_{i-1}}}+w_{2}#(){y_{0}+ #frac{W}{2}+#frac{s^{2}}{W}ln#frac{q_{i+1}}{q_{i}}}}
1014// END_LATEX
1015// where W is the pad width, y_0 is the position of the center pad and s^2 is given by
1016// BEGIN_LATEX
1017// s^{2} = s^{2}_{0} + s^{2}_{diff} (x,B) + #frac{tg^{2}(#phi-#alpha_{L})*l^{2}}{12}
1018// END_LATEX
1019// with s_0 being the PRF for 0 drift and track incidence phi equal to the lorentz angle a_L and the diffusion term
1020// being described by:
1021// BEGIN_LATEX
1022// s_{diff} (x,B) = #frac{D_{L}#sqrt{x}}{1+#(){#omega#tau}^{2}}
1023// END_LATEX
1024// with x being the drift length. The weights w_1 and w_2 are taken to be q_i-1^2 and q_i+1^2 respectively
1025//
1026// Authors
1027// Alex Bercuci <A.Bercuci@gsi.de>
1028// Theodor Rascanu <trascanu@stud.uni-frankfurt.de>
1029//
1030 Double_t w1 = fSignals[2]*fSignals[2];
1031 Double_t w2 = fSignals[4]*fSignals[4];
1032 Double_t w = w1+w2;
1033 if(w<1.){
1034 AliError("Missing side signals for cluster.");
1035 Print("a");
1036 return 0.;
1037 }
1038
1039 //Double_t s2w = s2/W/W;
1040 Float_t y1r = fSignals[2]>0 ? (-0.5 + s2w*TMath::Log(fSignals[3]/(Float_t)fSignals[2])) : 0.;
1041 Float_t y2r = fSignals[4]>0 ? (0.5 + s2w*TMath::Log(fSignals[4]/(Float_t)fSignals[3])) : 0.;
1042
1043 if(y1) (*y1) = y1r;
1044 if(y2) (*y2) = y2r;
1045
1046 return fCenter = (w1*y1r+w2*y2r)/w;
1047}
1048
1049
1050
1051//_____________________________________________________________________________
1052void AliTRDcluster::FillLUT()
1053{
1054 //
1055 // Create the LUT
1056 //
1057
1058 // The lookup table from Bogdan
1059 Float_t lut[AliTRDgeometry::kNlayer][fgkNlut] = {
1060 {
1061 0.0070, 0.0150, 0.0224, 0.0298, 0.0374, 0.0454, 0.0533, 0.0611,
1062 0.0684, 0.0755, 0.0827, 0.0900, 0.0975, 0.1049, 0.1120, 0.1187,
1063 0.1253, 0.1318, 0.1385, 0.1453, 0.1519, 0.1584, 0.1646, 0.1704,
1064 0.1762, 0.1821, 0.1879, 0.1938, 0.1996, 0.2053, 0.2108, 0.2160,
1065 0.2210, 0.2260, 0.2310, 0.2361, 0.2411, 0.2461, 0.2509, 0.2557,
1066 0.2602, 0.2646, 0.2689, 0.2732, 0.2774, 0.2816, 0.2859, 0.2901,
1067 0.2942, 0.2983, 0.3022, 0.3061, 0.3099, 0.3136, 0.3172, 0.3207,
1068 0.3242, 0.3278, 0.3312, 0.3347, 0.3382, 0.3416, 0.3450, 0.3483,
1069 0.3515, 0.3547, 0.3579, 0.3609, 0.3639, 0.3669, 0.3698, 0.3727,
1070 0.3756, 0.3785, 0.3813, 0.3842, 0.3870, 0.3898, 0.3926, 0.3952,
1071 0.3979, 0.4005, 0.4032, 0.4057, 0.4082, 0.4108, 0.4132, 0.4157,
1072 0.4181, 0.4205, 0.4228, 0.4252, 0.4275, 0.4299, 0.4322, 0.4345,
1073 0.4367, 0.4390, 0.4412, 0.4434, 0.4456, 0.4478, 0.4499, 0.4520,
1074 0.4541, 0.4562, 0.4583, 0.4603, 0.4623, 0.4643, 0.4663, 0.4683,
1075 0.4702, 0.4722, 0.4741, 0.4758, 0.4774, 0.4790, 0.4805, 0.4824,
1076 0.4844, 0.4863, 0.4883, 0.4902, 0.4921, 0.4940, 0.4959, 0.4978
1077 },
1078 {
1079 0.0072, 0.0156, 0.0235, 0.0313, 0.0394, 0.0478, 0.0561, 0.0642,
1080 0.0718, 0.0792, 0.0868, 0.0947, 0.1025, 0.1101, 0.1172, 0.1241,
1081 0.1309, 0.1378, 0.1449, 0.1518, 0.1586, 0.1650, 0.1710, 0.1770,
1082 0.1830, 0.1891, 0.1952, 0.2011, 0.2070, 0.2125, 0.2177, 0.2229,
1083 0.2280, 0.2332, 0.2383, 0.2435, 0.2484, 0.2533, 0.2581, 0.2627,
1084 0.2670, 0.2714, 0.2757, 0.2799, 0.2842, 0.2884, 0.2927, 0.2968,
1085 0.3008, 0.3048, 0.3086, 0.3123, 0.3159, 0.3195, 0.3231, 0.3266,
1086 0.3301, 0.3335, 0.3370, 0.3404, 0.3438, 0.3471, 0.3504, 0.3536,
1087 0.3567, 0.3598, 0.3628, 0.3657, 0.3686, 0.3715, 0.3744, 0.3772,
1088 0.3800, 0.3828, 0.3856, 0.3884, 0.3911, 0.3938, 0.3965, 0.3991,
1089 0.4016, 0.4042, 0.4067, 0.4092, 0.4116, 0.4140, 0.4164, 0.4187,
1090 0.4211, 0.4234, 0.4257, 0.4280, 0.4302, 0.4325, 0.4347, 0.4369,
1091 0.4391, 0.4413, 0.4434, 0.4456, 0.4477, 0.4497, 0.4518, 0.4538,
1092 0.4558, 0.4578, 0.4598, 0.4618, 0.4637, 0.4656, 0.4675, 0.4694,
1093 0.4713, 0.4732, 0.4750, 0.4766, 0.4781, 0.4797, 0.4813, 0.4832,
1094 0.4851, 0.4870, 0.4888, 0.4906, 0.4925, 0.4942, 0.4960, 0.4978
1095 },
1096 {
1097 0.0075, 0.0163, 0.0246, 0.0328, 0.0415, 0.0504, 0.0592, 0.0674,
1098 0.0753, 0.0832, 0.0914, 0.0996, 0.1077, 0.1154, 0.1225, 0.1296,
1099 0.1369, 0.1442, 0.1515, 0.1585, 0.1652, 0.1714, 0.1776, 0.1839,
1100 0.1902, 0.1965, 0.2025, 0.2085, 0.2141, 0.2194, 0.2247, 0.2299,
1101 0.2352, 0.2405, 0.2457, 0.2507, 0.2557, 0.2604, 0.2649, 0.2693,
1102 0.2737, 0.2780, 0.2823, 0.2867, 0.2909, 0.2951, 0.2992, 0.3033,
1103 0.3072, 0.3110, 0.3146, 0.3182, 0.3218, 0.3253, 0.3288, 0.3323,
1104 0.3357, 0.3392, 0.3426, 0.3459, 0.3492, 0.3524, 0.3555, 0.3586,
1105 0.3616, 0.3645, 0.3674, 0.3703, 0.3731, 0.3759, 0.3787, 0.3815,
1106 0.3843, 0.3870, 0.3897, 0.3925, 0.3950, 0.3976, 0.4002, 0.4027,
1107 0.4052, 0.4076, 0.4101, 0.4124, 0.4148, 0.4171, 0.4194, 0.4217,
1108 0.4239, 0.4262, 0.4284, 0.4306, 0.4328, 0.4350, 0.4371, 0.4393,
1109 0.4414, 0.4435, 0.4455, 0.4476, 0.4496, 0.4516, 0.4536, 0.4555,
1110 0.4575, 0.4594, 0.4613, 0.4632, 0.4650, 0.4669, 0.4687, 0.4705,
1111 0.4723, 0.4741, 0.4758, 0.4773, 0.4789, 0.4804, 0.4821, 0.4839,
1112 0.4857, 0.4875, 0.4893, 0.4910, 0.4928, 0.4945, 0.4961, 0.4978
1113 },
1114 {
1115 0.0078, 0.0171, 0.0258, 0.0345, 0.0438, 0.0532, 0.0624, 0.0708,
1116 0.0791, 0.0875, 0.0962, 0.1048, 0.1130, 0.1206, 0.1281, 0.1356,
1117 0.1432, 0.1508, 0.1582, 0.1651, 0.1716, 0.1780, 0.1845, 0.1910,
1118 0.1975, 0.2038, 0.2099, 0.2155, 0.2210, 0.2263, 0.2317, 0.2371,
1119 0.2425, 0.2477, 0.2528, 0.2578, 0.2626, 0.2671, 0.2715, 0.2759,
1120 0.2803, 0.2846, 0.2890, 0.2933, 0.2975, 0.3016, 0.3056, 0.3095,
1121 0.3132, 0.3168, 0.3204, 0.3239, 0.3274, 0.3309, 0.3344, 0.3378,
1122 0.3412, 0.3446, 0.3479, 0.3511, 0.3543, 0.3574, 0.3603, 0.3633,
1123 0.3662, 0.3690, 0.3718, 0.3747, 0.3774, 0.3802, 0.3829, 0.3857,
1124 0.3883, 0.3910, 0.3936, 0.3962, 0.3987, 0.4012, 0.4037, 0.4061,
1125 0.4085, 0.4109, 0.4132, 0.4155, 0.4177, 0.4200, 0.4222, 0.4244,
1126 0.4266, 0.4288, 0.4309, 0.4331, 0.4352, 0.4373, 0.4394, 0.4414,
1127 0.4435, 0.4455, 0.4475, 0.4494, 0.4514, 0.4533, 0.4552, 0.4571,
1128 0.4590, 0.4608, 0.4626, 0.4645, 0.4662, 0.4680, 0.4698, 0.4715,
1129 0.4733, 0.4750, 0.4766, 0.4781, 0.4796, 0.4812, 0.4829, 0.4846,
1130 0.4863, 0.4880, 0.4897, 0.4914, 0.4930, 0.4946, 0.4963, 0.4979
1131 },
1132 {
1133 0.0081, 0.0178, 0.0270, 0.0364, 0.0463, 0.0562, 0.0656, 0.0744,
1134 0.0831, 0.0921, 0.1013, 0.1102, 0.1183, 0.1261, 0.1339, 0.1419,
1135 0.1499, 0.1576, 0.1648, 0.1715, 0.1782, 0.1849, 0.1917, 0.1984,
1136 0.2048, 0.2110, 0.2167, 0.2223, 0.2278, 0.2333, 0.2389, 0.2444,
1137 0.2497, 0.2548, 0.2598, 0.2645, 0.2691, 0.2735, 0.2780, 0.2824,
1138 0.2868, 0.2912, 0.2955, 0.2997, 0.3038, 0.3078, 0.3116, 0.3152,
1139 0.3188, 0.3224, 0.3259, 0.3294, 0.3329, 0.3364, 0.3398, 0.3432,
1140 0.3465, 0.3497, 0.3529, 0.3561, 0.3591, 0.3620, 0.3649, 0.3677,
1141 0.3705, 0.3733, 0.3761, 0.3788, 0.3816, 0.3843, 0.3869, 0.3896,
1142 0.3922, 0.3948, 0.3973, 0.3998, 0.4022, 0.4047, 0.4070, 0.4094,
1143 0.4117, 0.4139, 0.4162, 0.4184, 0.4206, 0.4227, 0.4249, 0.4270,
1144 0.4291, 0.4313, 0.4334, 0.4354, 0.4375, 0.4395, 0.4415, 0.4435,
1145 0.4455, 0.4474, 0.4493, 0.4512, 0.4531, 0.4550, 0.4568, 0.4586,
1146 0.4604, 0.4622, 0.4639, 0.4657, 0.4674, 0.4691, 0.4708, 0.4725,
1147 0.4742, 0.4758, 0.4773, 0.4788, 0.4803, 0.4819, 0.4836, 0.4852,
1148 0.4869, 0.4885, 0.4901, 0.4917, 0.4933, 0.4948, 0.4964, 0.4979
1149 },
1150 {
1151 0.0085, 0.0189, 0.0288, 0.0389, 0.0497, 0.0603, 0.0699, 0.0792,
1152 0.0887, 0.0985, 0.1082, 0.1170, 0.1253, 0.1336, 0.1421, 0.1505,
1153 0.1587, 0.1662, 0.1733, 0.1803, 0.1874, 0.1945, 0.2014, 0.2081,
1154 0.2143, 0.2201, 0.2259, 0.2316, 0.2374, 0.2431, 0.2487, 0.2541,
1155 0.2593, 0.2642, 0.2689, 0.2735, 0.2781, 0.2826, 0.2872, 0.2917,
1156 0.2961, 0.3003, 0.3045, 0.3086, 0.3125, 0.3162, 0.3198, 0.3235,
1157 0.3270, 0.3306, 0.3342, 0.3377, 0.3411, 0.3446, 0.3479, 0.3511,
1158 0.3543, 0.3575, 0.3605, 0.3634, 0.3663, 0.3691, 0.3720, 0.3748,
1159 0.3775, 0.3803, 0.3830, 0.3857, 0.3884, 0.3911, 0.3937, 0.3962,
1160 0.3987, 0.4012, 0.4036, 0.4060, 0.4084, 0.4107, 0.4129, 0.4152,
1161 0.4174, 0.4196, 0.4218, 0.4239, 0.4261, 0.4282, 0.4303, 0.4324,
1162 0.4344, 0.4365, 0.4385, 0.4405, 0.4425, 0.4445, 0.4464, 0.4483,
1163 0.4502, 0.4521, 0.4539, 0.4558, 0.4576, 0.4593, 0.4611, 0.4629,
1164 0.4646, 0.4663, 0.4680, 0.4697, 0.4714, 0.4730, 0.4747, 0.4759,
1165 0.4769, 0.4780, 0.4790, 0.4800, 0.4811, 0.4827, 0.4843, 0.4859,
1166 0.4874, 0.4889, 0.4905, 0.4920, 0.4935, 0.4950, 0.4965, 0.4979
1167 }
1168 };
1169
1170 if(!fgLUT) fgLUT = new Double_t[AliTRDgeometry::kNlayer*fgkNlut];
1171
1172 for (Int_t ilayer = 0; ilayer < AliTRDgeometry::kNlayer; ilayer++) {
1173 for (Int_t ilut = 0; ilut < fgkNlut; ilut++ ) {
1174 fgLUT[ilayer*fgkNlut+ilut] = lut[ilayer][ilut];
1175 }
1176 }
1177}
1178