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added classes for tracking
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52c19022 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: AliTRDgtuParam.cxx 28397 2008-09-02 09:33:00Z cblume $ */
17
18////////////////////////////////////////////////////////////////////////////
19// //
20// Parameters for GTU simulation //
21// //
22// Author: J. Klein (Jochen.Klein@cern.ch) //
23// //
24////////////////////////////////////////////////////////////////////////////
25
637666cd 26#include "TROOT.h"
52c19022 27#include "TMath.h"
28#include "TMatrix.h"
29#include "TDecompLU.h"
30#include "TGraphAsymmErrors.h"
31#include "TCanvas.h"
32
33#include "AliLog.h"
34#include "AliTRDgtuParam.h"
35#include "AliTRDgeometry.h"
36#include "AliTRDpadPlane.h"
37
38ClassImp(AliTRDgtuParam)
39
40AliTRDgtuParam *AliTRDgtuParam::fgInstance = 0;
41
42// ----- Bin widths (granularity) -----
43const Float_t AliTRDgtuParam::fgkBinWidthY = 160e-4;
44const Float_t AliTRDgtuParam::fgkBinWidthdY = 140e-4;
45
46// ----- Bit widths (used for internal representation) -----
47const Int_t AliTRDgtuParam::fgkBitWidthY = 13;
48const Int_t AliTRDgtuParam::fgkBitWidthdY = 7;
49const Int_t AliTRDgtuParam::fgkBitWidthYProj = 10;
50const Int_t AliTRDgtuParam::fgkBitExcessY = 4;
51const Int_t AliTRDgtuParam::fgkBitExcessAlpha = 10;
52const Int_t AliTRDgtuParam::fgkBitExcessYProj = 2;
53
54// ----- Tracking parameters -----
55/*
56const Int_t AliTRDgtuParam::fgkNZChannels = 3; // No. of z-channels
57const Int_t AliTRDgtuParam::fgkNLinks = 12; // No. of links
58const Int_t AliTRDgtuParam::fgkFixLayer = 2; // which layer is fixed for the generation of the z-channel map
59const Int_t AliTRDgtuParam::fgkDeltaY = 39; // accepted deviation in y_proj, default: 9
60const Int_t AliTRDgtuParam::fgkDeltaAlpha = 31; // accepted deviation in alpha, default: 11
61const Int_t AliTRDgtuParam::fgkNRefLayers = 3; // no. of reference layers
62*/
63
64AliTRDgtuParam::AliTRDgtuParam() :
65 fVertexSize(20.0),
66 fCurrTrackletMask(0),
67 fRefLayers(0x0),
b491d23b 68 fMagField(0.5),
52c19022 69 fGeo(0x0)
70{
71 // default ctor
72 fGeo = new AliTRDgeometry();
73 fRefLayers = new Int_t[fgkNRefLayers];
74 fRefLayers[0] = 3;
75 fRefLayers[1] = 2;
76 fRefLayers[2] = 1;
637666cd 77 for (Int_t iLayer = 0; iLayer < 6; iLayer++) {
78 fAki[iLayer] = 0.;
79 fBki[iLayer] = 0.;
80 fCki[iLayer] = 0.;
81 }
82
36dc3337 83 GenerateZChannelMap();
52c19022 84}
85
86AliTRDgtuParam::~AliTRDgtuParam()
87{
88 // dtor
89
90 delete fGeo;
91 delete [] fRefLayers;
92}
93
94AliTRDgtuParam* AliTRDgtuParam::Instance()
95{
96 // get (or create) the single instance
97
98 if (fgInstance == 0)
99 fgInstance = new AliTRDgtuParam();
100
101 return fgInstance;
102}
103
104void AliTRDgtuParam::Terminate()
105{
106 // destruct the instance
107
108 if (fgInstance != 0) {
109 delete fgInstance;
110 fgInstance = 0x0;
111 }
112}
113
114Bool_t AliTRDgtuParam::IsInZChannel(Int_t stack, Int_t layer, Int_t zchannel, Int_t zpos) const
115{
116 return (fZSubChannel[stack][zchannel][layer][zpos] != 0);
117}
118
119Int_t AliTRDgtuParam::GetZSubchannel(Int_t stack, Int_t layer, Int_t zchannel, Int_t zpos) const
120{
121 return fZSubChannel[stack][zchannel][layer][zpos];
122}
123
124Int_t AliTRDgtuParam::GetRefLayer(Int_t refLayerIdx) const
125{
36dc3337 126 // returns the reference layer indexed by refLayerIdx
127
52c19022 128 if (refLayerIdx >= 0 && refLayerIdx < fgkNRefLayers)
129 return fRefLayers[refLayerIdx];
130 else
131 return -1;
132}
133
36dc3337 134Int_t AliTRDgtuParam::GenerateZChannelMap()
52c19022 135{
136 // generate the z-channel map
137 // assuming that the tracks come from the vertex
138 // +/- fVertexSize in z-direction
139
140 Int_t iSec = 0; // sector is irrelevant
141 Bool_t collision = kFALSE;
142
143 for (Int_t iStack = 0; iStack < fGeo->Nstack(); iStack++) {
144
36dc3337 145 Float_t x[6] = { 0 };
146 Float_t z[6][16] = {{ 0 }};
52c19022 147 Float_t dZ[6][16] = {{ 0 }};
148
149 for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) {
150 AliTRDpadPlane *pp = fGeo->GetPadPlane(iLayer, iStack);
36dc3337 151 x[iLayer] = fGeo->GetTime0(iLayer) - fGeo->CdrHght(); // ???
52c19022 152 for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, iSec); iRow++) {
36dc3337 153 z[iLayer][iRow] = pp->GetRowPos(iRow); // this is the right (pos. z-direction) border of the pad
52c19022 154 dZ[iLayer][iRow] = pp->GetRowSize(iRow); // length of the pad in z-direction
155 for (Int_t i = 0; i < fgkNZChannels; i++)
156 fZSubChannel[iStack][i][iLayer][iRow] = 0;
157 }
158 }
159
160 for (Int_t fixRow = 0; fixRow < fGeo->GetRowMax(fgkFixLayer, iStack, iSec); fixRow++) {
161
36dc3337 162 Double_t fixZmin = z[fgkFixLayer][fixRow] - dZ[fgkFixLayer][fixRow];
163 Double_t fixZmax = z[fgkFixLayer][fixRow];
164 Double_t fixX = x[fgkFixLayer] + 1.5; // ??? 1.5 from where?
52c19022 165
166 for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) {
167 Double_t leftZ, rightZ;
168
169 if (iLayer <= fgkFixLayer) {
36dc3337 170 leftZ = (fixZmin + fVertexSize) * (x[iLayer] + 1.5) / fixX - fVertexSize;
171 rightZ = (fixZmax - fVertexSize) * (x[iLayer] + 1.5) / fixX + fVertexSize;
52c19022 172 }
173 else {
36dc3337 174 leftZ = (fixZmin - fVertexSize) * (x[iLayer] + 1.5) / fixX + fVertexSize;
175 rightZ = (fixZmax + fVertexSize) * (x[iLayer] + 1.5) / fixX - fVertexSize;
52c19022 176 }
177
178 Double_t epsilon = 0.001;
179 for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, iSec); iRow++) {
36dc3337 180 if ( (z[iLayer][iRow] ) > (leftZ + epsilon) &&
181 (z[iLayer][iRow] - dZ[iLayer][iRow] ) < (rightZ - epsilon) ) {
52c19022 182 fZChannelMap[iStack][fixRow][iLayer][iRow] = 1;
183 if (fZSubChannel[iStack][fixRow % fgkNZChannels][iLayer][iRow] != 0) {
184 AliError("Collision in Z-Channel assignment occured! No reliable tracking!!!");
185 collision = kTRUE;
186 }
187 else
188 fZSubChannel[iStack][fixRow % fgkNZChannels][iLayer][iRow] = fixRow / fgkNZChannels + 1;
189 }
190
191 }
192 }
193 }
194 }
195
196 return ~collision;
197}
198
199Bool_t AliTRDgtuParam::DisplayZChannelMap(Int_t zchannel, Int_t subchannel) const
200{
201 // display the z-channel map
202
637666cd 203 if (zchannel >= fgkNZChannels) {
52c19022 204 AliError("Invalid Z channel!");
205 return kFALSE;
206 }
207
208 Int_t zchmin = zchannel >= 0 ? zchannel : 0;
209 Int_t zchmax = zchannel >= 0 ? zchannel + 1 : fgkNZChannels;
210 Int_t i = 0;
211 Int_t j = 0;
212 TCanvas *c = new TCanvas("zchmap", "Z-Chhannel Mapping");
213 c->cd();
214 TGraph **graphz = new TGraph*[fgkNZChannels];
215 for (Int_t zch = zchmin; zch < zchmax; zch++)
216 graphz[zch] = new TGraph;
217 TGraphAsymmErrors *graph = new TGraphAsymmErrors();
218 graph->SetTitle("Z-Channel Map");
219 graph->SetPoint(i, 0, 0); // vertex
220 graph->SetPointError(i++, 20, 20, 0, 0);
221 // graph->SetRange //????
222 for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) {
223 for (Int_t iStack = 0; iStack < fGeo->Nstack(); iStack++) {
224 AliTRDpadPlane *pp = fGeo->GetPadPlane(iLayer, iStack);
225 for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, 0); iRow++) {
226 graph->SetPoint(i, pp->GetRowPos(iRow), fGeo->GetTime0(iLayer) - fGeo->CdrHght());
227 graph->SetPointError(i++, pp->GetRowSize(iRow), 0, 0, 0);
228 for (Int_t zch = zchmin; zch < zchmax; zch++)
229 if (fZSubChannel[iStack][zch][iLayer][iRow] != 0)
230 if (subchannel == 0 || fZSubChannel[iStack][zch][iLayer][iRow] == subchannel)
231 graphz[zch]->SetPoint(j++, pp->GetRowPos(iRow) - pp->GetRowSize(iRow)/2, fGeo->GetTime0(iLayer) - fGeo->CdrHght());
232 }
233 }
234 }
235 graph->SetMarkerStyle(kDot);
236 graph->Draw("AP");
637666cd 237 gROOT->Add(graph);
52c19022 238 for (Int_t zch = zchmin; zch < zchmax; zch++) {
239 graphz[zch]->SetMarkerStyle(kCircle);
240 graphz[zch]->SetMarkerColor(zch+2);
241 graphz[zch]->SetMarkerSize(0.3 + zch*0.2);
242 graphz[zch]->Draw("P");
637666cd 243 gROOT->Add(graphz[zch]);
52c19022 244 }
54d34aac 245 delete [] graphz;
52c19022 246 return kTRUE;
247}
248
249Int_t AliTRDgtuParam::GetCiAlpha(Int_t layer) const
250{
251 // get the constant for the calculation of alpha
252
36dc3337 253 Int_t ci = (Int_t) (GetChamberThickness() / fGeo->GetTime0(layer) * GetBinWidthY() / GetBinWidthdY() * (1 << (GetBitExcessAlpha() + GetBitExcessY() + 1)) );
254 return ci;
52c19022 255}
256
257Int_t AliTRDgtuParam::GetCiYProj(Int_t layer) const
258{
259 // get the constant for the calculation of y_proj
260
36dc3337 261 Float_t xmid = (fGeo->GetTime0(0) + fGeo->GetTime0(fGeo->Nlayer()-1)) / 2.;
262 Int_t ci = (Int_t) (- (fGeo->GetTime0(layer) - xmid) / GetChamberThickness() * GetBinWidthdY() / GetBinWidthY() * (1 << GetBitExcessYProj()) );
263 return ci;
52c19022 264}
265
266Int_t AliTRDgtuParam::GetYt(Int_t stack, Int_t layer, Int_t zrow) const
267{
268 return (Int_t) (- ( (layer % 2 ? 1 : -1) *
269 (GetGeo()->GetPadPlane(layer, stack)->GetRowPos(zrow) - GetGeo()->GetPadPlane(layer, stack)->GetRowSize(zrow) / 2) *
270 TMath::Tan(- 2.0 / 180.0 * TMath::Pi()) ) / 0.016 );
271}
272
273Bool_t AliTRDgtuParam::GenerateRecoCoefficients(Int_t trackletMask)
274{
36dc3337 275 // calculate the coefficients for the straight line fit
276 // depending on the mask of contributing tracklets
277
52c19022 278 fCurrTrackletMask = trackletMask;
279
280 TMatrix a(GetNLayers(), 3);
281 TMatrix b(3, GetNLayers());
282 TMatrix c(3, 3);
283
284 for (Int_t layer = 0; layer < GetNLayers(); layer++) {
285 if ( (trackletMask & (1 << layer)) == 0) {
286 a(layer, 0) = 0;
287 a(layer, 1) = 0;
288 a(layer, 2) = 0;
289 }
290 else {
291 a(layer, 0) = 1;
292 a(layer, 1) = fGeo->GetTime0(layer);
293 a(layer, 2) = (layer % 2 ? 1 : -1) * fGeo->GetTime0(layer);
294 }
295 }
296
297 b.Transpose(a);
298 c = b * a;
299 c.InvertFast();
300 b = c * b;
301
302 for (Int_t layer = 0; layer < GetNLayers(); layer++) {
303 fAki[layer] = b.GetMatrixArray()[layer];
304 fBki[layer] = b.GetMatrixArray()[GetNLayers() + layer];
305 fCki[layer] = b.GetMatrixArray()[2 * GetNLayers() + layer];
306 }
307 return kTRUE;
308}
309
310Float_t AliTRDgtuParam::GetAki(Int_t k, Int_t i)
311{
312 // get A_ki for the calculation of the tracking parameters
313 if (fCurrTrackletMask != k)
314 GenerateRecoCoefficients(k);
315
316 return fAki[i];
317}
318
319Float_t AliTRDgtuParam::GetBki(Int_t k, Int_t i)
320{
321 // get B_ki for the calculation of the tracking parameters
322
323 if (fCurrTrackletMask != k)
324 GenerateRecoCoefficients(k);
325
326 return fBki[i];
327}
328
329Float_t AliTRDgtuParam::GetCki(Int_t k, Int_t i)
330{
331 // get B_ki for the calculation of the tracking parameters
332
333 if (fCurrTrackletMask != k)
334 GenerateRecoCoefficients(k);
335
336 return fCki[i];
337}
338
339/*
340Float_t AliTRDgtuParam::GetD(Int_t k) const
341{
342 // get the determinant for the calculation of the tracking parameters
343
344 TMatrix t(3, 3);
345 for (Int_t i = 0; i < GetNLayers(); i++) {
346 if ( !((k >> i) & 0x1) )
347 continue;
348 Float_t xi = fGeo->GetTime0(i);
349 t(0,0) += 1;
350 t(1,0) += xi;
351 t(2,0) += TMath::Power(-1, i) * xi;
352 t(0,1) += xi;
353 t(1,1) += TMath::Power(xi, 2);
354 t(2,1) += TMath::Power(-1, i) * TMath::Power(xi, 2);
355 t(0,2) += TMath::Power(-1, i) * xi;
356 t(1,2) += TMath::Power(-1, i) * TMath::Power(xi, 2);
357 t(2,2) += TMath::Power(xi, 2);
358 }
359 return t.Determinant();
360}
361
362Bool_t AliTRDgtuParam::GetFitParams(TVectorD& rhs, Int_t k)
363{
364 // calculate the fitting parameters
365 // will be changed!
366
367 TMatrix t(3,3);
368 for (Int_t i = 0; i < GetNLayers(); i++) {
369 if ( !((k >> i) & 0x1) )
370 continue;
371 Float_t xi = fGeo->GetTime0(i);
372 t(0,0) += 1;
373 t(1,0) += xi;
374 t(2,0) += TMath::Power(-1, i) * xi;
375 t(0,1) += xi;
376 t(1,1) += TMath::Power(xi, 2);
377 t(2,1) += TMath::Power(-1, i) * TMath::Power(xi, 2);
378 t(0,2) -= TMath::Power(-1, i) * xi;
379 t(1,2) -= TMath::Power(-1, i) * TMath::Power(xi, 2);
380 t(2,2) -= TMath::Power(xi, 2);
381 }
382 TDecompLU lr(t);
383 lr.Solve(rhs);
384 return lr.Decompose();
385}
386*/
387
388Bool_t AliTRDgtuParam::GetIntersectionPoints(Int_t k, Float_t &x1, Float_t &x2)
389{
390 // get the x-coord. of the assumed circle/straight line intersection points
391
392 Int_t l1 = -1;
393 Int_t l2 = -1;
394 Int_t nHits = 0;
395 for (Int_t layer = 0; layer < GetNLayers(); layer++) {
396 if ( (k >> layer) & 0x1 ) {
397 if (l1 < 0)
398 l1 = layer;
399 l2 = layer;
400 nHits++;
401 }
402 }
403
637666cd 404 if ( (l1 >= 0) && (l2 >= 0) ) {
405 x1 = fGeo->GetTime0(l1) + 10./6 * (nHits -1);
406 x2 = fGeo->GetTime0(l2) - 10./6 * (nHits -1);
407 return kTRUE;
408 }
409 else
410 return kFALSE;
52c19022 411}
412
b491d23b 413Float_t AliTRDgtuParam::GetPt(Int_t a, Float_t /* b */, Float_t x1, Float_t x2) const
52c19022 414{
b491d23b 415 // returns 0.3 * B * 1/a (1/128 GeV/c)
416 // a : offset, b : slope (not used)
417
418 Float_t c1 = x1 * x2 / 2. / 10000.; // conversion cm to m
80f93426 419 Float_t r = 0;
420 if ( (a >> 1) != 0)
b491d23b 421 r = (0.3 * fMagField / 2. / (fgkBinWidthY/100.)) * (((Int_t) c1) << 8) / (a >> 1); //??? why shift of a?
52c19022 422 return r;
423}