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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 | ||
26 | #include "TMath.h" | |
27 | #include "TMatrix.h" | |
28 | #include "TDecompLU.h" | |
29 | #include "TGraphAsymmErrors.h" | |
30 | #include "TCanvas.h" | |
31 | ||
32 | #include "AliLog.h" | |
33 | #include "AliTRDgtuParam.h" | |
34 | #include "AliTRDgeometry.h" | |
35 | #include "AliTRDpadPlane.h" | |
36 | ||
37 | ClassImp(AliTRDgtuParam) | |
38 | ||
39 | AliTRDgtuParam *AliTRDgtuParam::fgInstance = 0; | |
40 | ||
41 | // ----- Bin widths (granularity) ----- | |
42 | const Float_t AliTRDgtuParam::fgkBinWidthY = 160e-4; | |
43 | const Float_t AliTRDgtuParam::fgkBinWidthdY = 140e-4; | |
44 | ||
45 | // ----- Bit widths (used for internal representation) ----- | |
46 | const Int_t AliTRDgtuParam::fgkBitWidthY = 13; | |
47 | const Int_t AliTRDgtuParam::fgkBitWidthdY = 7; | |
48 | const Int_t AliTRDgtuParam::fgkBitWidthYProj = 10; | |
49 | const Int_t AliTRDgtuParam::fgkBitExcessY = 4; | |
50 | const Int_t AliTRDgtuParam::fgkBitExcessAlpha = 10; | |
51 | const Int_t AliTRDgtuParam::fgkBitExcessYProj = 2; | |
52 | ||
53 | // ----- Tracking parameters ----- | |
54 | /* | |
55 | const Int_t AliTRDgtuParam::fgkNZChannels = 3; // No. of z-channels | |
56 | const Int_t AliTRDgtuParam::fgkNLinks = 12; // No. of links | |
57 | const Int_t AliTRDgtuParam::fgkFixLayer = 2; // which layer is fixed for the generation of the z-channel map | |
58 | const Int_t AliTRDgtuParam::fgkDeltaY = 39; // accepted deviation in y_proj, default: 9 | |
59 | const Int_t AliTRDgtuParam::fgkDeltaAlpha = 31; // accepted deviation in alpha, default: 11 | |
60 | const Int_t AliTRDgtuParam::fgkNRefLayers = 3; // no. of reference layers | |
61 | */ | |
62 | ||
63 | AliTRDgtuParam::AliTRDgtuParam() : | |
64 | fVertexSize(20.0), | |
65 | fCurrTrackletMask(0), | |
66 | fRefLayers(0x0), | |
67 | fGeo(0x0) | |
68 | { | |
69 | // default ctor | |
70 | fGeo = new AliTRDgeometry(); | |
71 | fRefLayers = new Int_t[fgkNRefLayers]; | |
72 | fRefLayers[0] = 3; | |
73 | fRefLayers[1] = 2; | |
74 | fRefLayers[2] = 1; | |
36dc3337 | 75 | GenerateZChannelMap(); |
52c19022 | 76 | } |
77 | ||
78 | AliTRDgtuParam::~AliTRDgtuParam() | |
79 | { | |
80 | // dtor | |
81 | ||
82 | delete fGeo; | |
83 | delete [] fRefLayers; | |
84 | } | |
85 | ||
86 | AliTRDgtuParam* AliTRDgtuParam::Instance() | |
87 | { | |
88 | // get (or create) the single instance | |
89 | ||
90 | if (fgInstance == 0) | |
91 | fgInstance = new AliTRDgtuParam(); | |
92 | ||
93 | return fgInstance; | |
94 | } | |
95 | ||
96 | void AliTRDgtuParam::Terminate() | |
97 | { | |
98 | // destruct the instance | |
99 | ||
100 | if (fgInstance != 0) { | |
101 | delete fgInstance; | |
102 | fgInstance = 0x0; | |
103 | } | |
104 | } | |
105 | ||
106 | Bool_t AliTRDgtuParam::IsInZChannel(Int_t stack, Int_t layer, Int_t zchannel, Int_t zpos) const | |
107 | { | |
108 | return (fZSubChannel[stack][zchannel][layer][zpos] != 0); | |
109 | } | |
110 | ||
111 | Int_t AliTRDgtuParam::GetZSubchannel(Int_t stack, Int_t layer, Int_t zchannel, Int_t zpos) const | |
112 | { | |
113 | return fZSubChannel[stack][zchannel][layer][zpos]; | |
114 | } | |
115 | ||
116 | Int_t AliTRDgtuParam::GetRefLayer(Int_t refLayerIdx) const | |
117 | { | |
36dc3337 | 118 | // returns the reference layer indexed by refLayerIdx |
119 | ||
52c19022 | 120 | if (refLayerIdx >= 0 && refLayerIdx < fgkNRefLayers) |
121 | return fRefLayers[refLayerIdx]; | |
122 | else | |
123 | return -1; | |
124 | } | |
125 | ||
36dc3337 | 126 | Int_t AliTRDgtuParam::GenerateZChannelMap() |
52c19022 | 127 | { |
128 | // generate the z-channel map | |
129 | // assuming that the tracks come from the vertex | |
130 | // +/- fVertexSize in z-direction | |
131 | ||
132 | Int_t iSec = 0; // sector is irrelevant | |
133 | Bool_t collision = kFALSE; | |
134 | ||
135 | for (Int_t iStack = 0; iStack < fGeo->Nstack(); iStack++) { | |
136 | ||
36dc3337 | 137 | Float_t x[6] = { 0 }; |
138 | Float_t z[6][16] = {{ 0 }}; | |
52c19022 | 139 | Float_t dZ[6][16] = {{ 0 }}; |
140 | ||
141 | for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) { | |
142 | AliTRDpadPlane *pp = fGeo->GetPadPlane(iLayer, iStack); | |
36dc3337 | 143 | x[iLayer] = fGeo->GetTime0(iLayer) - fGeo->CdrHght(); // ??? |
52c19022 | 144 | for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, iSec); iRow++) { |
36dc3337 | 145 | z[iLayer][iRow] = pp->GetRowPos(iRow); // this is the right (pos. z-direction) border of the pad |
52c19022 | 146 | dZ[iLayer][iRow] = pp->GetRowSize(iRow); // length of the pad in z-direction |
147 | for (Int_t i = 0; i < fgkNZChannels; i++) | |
148 | fZSubChannel[iStack][i][iLayer][iRow] = 0; | |
149 | } | |
150 | } | |
151 | ||
152 | for (Int_t fixRow = 0; fixRow < fGeo->GetRowMax(fgkFixLayer, iStack, iSec); fixRow++) { | |
153 | ||
36dc3337 | 154 | Double_t fixZmin = z[fgkFixLayer][fixRow] - dZ[fgkFixLayer][fixRow]; |
155 | Double_t fixZmax = z[fgkFixLayer][fixRow]; | |
156 | Double_t fixX = x[fgkFixLayer] + 1.5; // ??? 1.5 from where? | |
52c19022 | 157 | |
158 | for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) { | |
159 | Double_t leftZ, rightZ; | |
160 | ||
161 | if (iLayer <= fgkFixLayer) { | |
36dc3337 | 162 | leftZ = (fixZmin + fVertexSize) * (x[iLayer] + 1.5) / fixX - fVertexSize; |
163 | rightZ = (fixZmax - fVertexSize) * (x[iLayer] + 1.5) / fixX + fVertexSize; | |
52c19022 | 164 | } |
165 | else { | |
36dc3337 | 166 | leftZ = (fixZmin - fVertexSize) * (x[iLayer] + 1.5) / fixX + fVertexSize; |
167 | rightZ = (fixZmax + fVertexSize) * (x[iLayer] + 1.5) / fixX - fVertexSize; | |
52c19022 | 168 | } |
169 | ||
170 | Double_t epsilon = 0.001; | |
171 | for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, iSec); iRow++) { | |
36dc3337 | 172 | if ( (z[iLayer][iRow] ) > (leftZ + epsilon) && |
173 | (z[iLayer][iRow] - dZ[iLayer][iRow] ) < (rightZ - epsilon) ) { | |
52c19022 | 174 | fZChannelMap[iStack][fixRow][iLayer][iRow] = 1; |
175 | if (fZSubChannel[iStack][fixRow % fgkNZChannels][iLayer][iRow] != 0) { | |
176 | AliError("Collision in Z-Channel assignment occured! No reliable tracking!!!"); | |
177 | collision = kTRUE; | |
178 | } | |
179 | else | |
180 | fZSubChannel[iStack][fixRow % fgkNZChannels][iLayer][iRow] = fixRow / fgkNZChannels + 1; | |
181 | } | |
182 | ||
183 | } | |
184 | } | |
185 | } | |
186 | } | |
187 | ||
188 | return ~collision; | |
189 | } | |
190 | ||
191 | Bool_t AliTRDgtuParam::DisplayZChannelMap(Int_t zchannel, Int_t subchannel) const | |
192 | { | |
193 | // display the z-channel map | |
194 | ||
195 | if (zchannel > fgkNZChannels) { | |
196 | AliError("Invalid Z channel!"); | |
197 | return kFALSE; | |
198 | } | |
199 | ||
200 | Int_t zchmin = zchannel >= 0 ? zchannel : 0; | |
201 | Int_t zchmax = zchannel >= 0 ? zchannel + 1 : fgkNZChannels; | |
202 | Int_t i = 0; | |
203 | Int_t j = 0; | |
204 | TCanvas *c = new TCanvas("zchmap", "Z-Chhannel Mapping"); | |
205 | c->cd(); | |
206 | TGraph **graphz = new TGraph*[fgkNZChannels]; | |
207 | for (Int_t zch = zchmin; zch < zchmax; zch++) | |
208 | graphz[zch] = new TGraph; | |
209 | TGraphAsymmErrors *graph = new TGraphAsymmErrors(); | |
210 | graph->SetTitle("Z-Channel Map"); | |
211 | graph->SetPoint(i, 0, 0); // vertex | |
212 | graph->SetPointError(i++, 20, 20, 0, 0); | |
213 | // graph->SetRange //???? | |
214 | for (Int_t iLayer = 0; iLayer < fGeo->Nlayer(); iLayer++) { | |
215 | for (Int_t iStack = 0; iStack < fGeo->Nstack(); iStack++) { | |
216 | AliTRDpadPlane *pp = fGeo->GetPadPlane(iLayer, iStack); | |
217 | for (Int_t iRow = 0; iRow < fGeo->GetRowMax(iLayer, iStack, 0); iRow++) { | |
218 | graph->SetPoint(i, pp->GetRowPos(iRow), fGeo->GetTime0(iLayer) - fGeo->CdrHght()); | |
219 | graph->SetPointError(i++, pp->GetRowSize(iRow), 0, 0, 0); | |
220 | for (Int_t zch = zchmin; zch < zchmax; zch++) | |
221 | if (fZSubChannel[iStack][zch][iLayer][iRow] != 0) | |
222 | if (subchannel == 0 || fZSubChannel[iStack][zch][iLayer][iRow] == subchannel) | |
223 | graphz[zch]->SetPoint(j++, pp->GetRowPos(iRow) - pp->GetRowSize(iRow)/2, fGeo->GetTime0(iLayer) - fGeo->CdrHght()); | |
224 | } | |
225 | } | |
226 | } | |
227 | graph->SetMarkerStyle(kDot); | |
228 | graph->Draw("AP"); | |
229 | for (Int_t zch = zchmin; zch < zchmax; zch++) { | |
230 | graphz[zch]->SetMarkerStyle(kCircle); | |
231 | graphz[zch]->SetMarkerColor(zch+2); | |
232 | graphz[zch]->SetMarkerSize(0.3 + zch*0.2); | |
233 | graphz[zch]->Draw("P"); | |
234 | } | |
235 | return kTRUE; | |
236 | } | |
237 | ||
238 | Int_t AliTRDgtuParam::GetCiAlpha(Int_t layer) const | |
239 | { | |
240 | // get the constant for the calculation of alpha | |
241 | ||
36dc3337 | 242 | Int_t ci = (Int_t) (GetChamberThickness() / fGeo->GetTime0(layer) * GetBinWidthY() / GetBinWidthdY() * (1 << (GetBitExcessAlpha() + GetBitExcessY() + 1)) ); |
243 | return ci; | |
52c19022 | 244 | } |
245 | ||
246 | Int_t AliTRDgtuParam::GetCiYProj(Int_t layer) const | |
247 | { | |
248 | // get the constant for the calculation of y_proj | |
249 | ||
36dc3337 | 250 | Float_t xmid = (fGeo->GetTime0(0) + fGeo->GetTime0(fGeo->Nlayer()-1)) / 2.; |
251 | Int_t ci = (Int_t) (- (fGeo->GetTime0(layer) - xmid) / GetChamberThickness() * GetBinWidthdY() / GetBinWidthY() * (1 << GetBitExcessYProj()) ); | |
252 | return ci; | |
52c19022 | 253 | } |
254 | ||
255 | Int_t AliTRDgtuParam::GetYt(Int_t stack, Int_t layer, Int_t zrow) const | |
256 | { | |
257 | return (Int_t) (- ( (layer % 2 ? 1 : -1) * | |
258 | (GetGeo()->GetPadPlane(layer, stack)->GetRowPos(zrow) - GetGeo()->GetPadPlane(layer, stack)->GetRowSize(zrow) / 2) * | |
259 | TMath::Tan(- 2.0 / 180.0 * TMath::Pi()) ) / 0.016 ); | |
260 | } | |
261 | ||
262 | Bool_t AliTRDgtuParam::GenerateRecoCoefficients(Int_t trackletMask) | |
263 | { | |
36dc3337 | 264 | // calculate the coefficients for the straight line fit |
265 | // depending on the mask of contributing tracklets | |
266 | ||
52c19022 | 267 | fCurrTrackletMask = trackletMask; |
268 | ||
269 | TMatrix a(GetNLayers(), 3); | |
270 | TMatrix b(3, GetNLayers()); | |
271 | TMatrix c(3, 3); | |
272 | ||
273 | for (Int_t layer = 0; layer < GetNLayers(); layer++) { | |
274 | if ( (trackletMask & (1 << layer)) == 0) { | |
275 | a(layer, 0) = 0; | |
276 | a(layer, 1) = 0; | |
277 | a(layer, 2) = 0; | |
278 | } | |
279 | else { | |
280 | a(layer, 0) = 1; | |
281 | a(layer, 1) = fGeo->GetTime0(layer); | |
282 | a(layer, 2) = (layer % 2 ? 1 : -1) * fGeo->GetTime0(layer); | |
283 | } | |
284 | } | |
285 | ||
286 | b.Transpose(a); | |
287 | c = b * a; | |
288 | c.InvertFast(); | |
289 | b = c * b; | |
290 | ||
291 | for (Int_t layer = 0; layer < GetNLayers(); layer++) { | |
292 | fAki[layer] = b.GetMatrixArray()[layer]; | |
293 | fBki[layer] = b.GetMatrixArray()[GetNLayers() + layer]; | |
294 | fCki[layer] = b.GetMatrixArray()[2 * GetNLayers() + layer]; | |
295 | } | |
296 | return kTRUE; | |
297 | } | |
298 | ||
299 | Float_t AliTRDgtuParam::GetAki(Int_t k, Int_t i) | |
300 | { | |
301 | // get A_ki for the calculation of the tracking parameters | |
302 | if (fCurrTrackletMask != k) | |
303 | GenerateRecoCoefficients(k); | |
304 | ||
305 | return fAki[i]; | |
306 | } | |
307 | ||
308 | Float_t AliTRDgtuParam::GetBki(Int_t k, Int_t i) | |
309 | { | |
310 | // get B_ki for the calculation of the tracking parameters | |
311 | ||
312 | if (fCurrTrackletMask != k) | |
313 | GenerateRecoCoefficients(k); | |
314 | ||
315 | return fBki[i]; | |
316 | } | |
317 | ||
318 | Float_t AliTRDgtuParam::GetCki(Int_t k, Int_t i) | |
319 | { | |
320 | // get B_ki for the calculation of the tracking parameters | |
321 | ||
322 | if (fCurrTrackletMask != k) | |
323 | GenerateRecoCoefficients(k); | |
324 | ||
325 | return fCki[i]; | |
326 | } | |
327 | ||
328 | /* | |
329 | Float_t AliTRDgtuParam::GetD(Int_t k) const | |
330 | { | |
331 | // get the determinant for the calculation of the tracking parameters | |
332 | ||
333 | TMatrix t(3, 3); | |
334 | for (Int_t i = 0; i < GetNLayers(); i++) { | |
335 | if ( !((k >> i) & 0x1) ) | |
336 | continue; | |
337 | Float_t xi = fGeo->GetTime0(i); | |
338 | t(0,0) += 1; | |
339 | t(1,0) += xi; | |
340 | t(2,0) += TMath::Power(-1, i) * xi; | |
341 | t(0,1) += xi; | |
342 | t(1,1) += TMath::Power(xi, 2); | |
343 | t(2,1) += TMath::Power(-1, i) * TMath::Power(xi, 2); | |
344 | t(0,2) += TMath::Power(-1, i) * xi; | |
345 | t(1,2) += TMath::Power(-1, i) * TMath::Power(xi, 2); | |
346 | t(2,2) += TMath::Power(xi, 2); | |
347 | } | |
348 | return t.Determinant(); | |
349 | } | |
350 | ||
351 | Bool_t AliTRDgtuParam::GetFitParams(TVectorD& rhs, Int_t k) | |
352 | { | |
353 | // calculate the fitting parameters | |
354 | // will be changed! | |
355 | ||
356 | TMatrix t(3,3); | |
357 | for (Int_t i = 0; i < GetNLayers(); i++) { | |
358 | if ( !((k >> i) & 0x1) ) | |
359 | continue; | |
360 | Float_t xi = fGeo->GetTime0(i); | |
361 | t(0,0) += 1; | |
362 | t(1,0) += xi; | |
363 | t(2,0) += TMath::Power(-1, i) * xi; | |
364 | t(0,1) += xi; | |
365 | t(1,1) += TMath::Power(xi, 2); | |
366 | t(2,1) += TMath::Power(-1, i) * TMath::Power(xi, 2); | |
367 | t(0,2) -= TMath::Power(-1, i) * xi; | |
368 | t(1,2) -= TMath::Power(-1, i) * TMath::Power(xi, 2); | |
369 | t(2,2) -= TMath::Power(xi, 2); | |
370 | } | |
371 | TDecompLU lr(t); | |
372 | lr.Solve(rhs); | |
373 | return lr.Decompose(); | |
374 | } | |
375 | */ | |
376 | ||
377 | Bool_t AliTRDgtuParam::GetIntersectionPoints(Int_t k, Float_t &x1, Float_t &x2) | |
378 | { | |
379 | // get the x-coord. of the assumed circle/straight line intersection points | |
380 | ||
381 | Int_t l1 = -1; | |
382 | Int_t l2 = -1; | |
383 | Int_t nHits = 0; | |
384 | for (Int_t layer = 0; layer < GetNLayers(); layer++) { | |
385 | if ( (k >> layer) & 0x1 ) { | |
386 | if (l1 < 0) | |
387 | l1 = layer; | |
388 | l2 = layer; | |
389 | nHits++; | |
390 | } | |
391 | } | |
392 | ||
393 | x1 = fGeo->GetTime0(l1) + 10./6 * (nHits -1); | |
394 | x2 = fGeo->GetTime0(l2) - 10./6 * (nHits -1); | |
395 | ||
396 | return ( (l1 >= 0) && (l2 >= 0) ); | |
397 | } | |
398 | ||
36dc3337 | 399 | Float_t AliTRDgtuParam::GetRadius(Int_t a, Float_t b, Float_t x1, Float_t x2) const |
52c19022 | 400 | { |
401 | // get the radius for the track | |
402 | Float_t d = (1 + b * b /2 ) * (x2 - x1); | |
403 | Float_t c1 = x1 * x2 / 2; | |
404 | // Float_t c2 = (x1 + x2) / (x1 * x2); | |
c8b1590d | 405 | // printf("c1: %f\n", c1); |
80f93426 | 406 | Float_t r = 0; |
407 | if ( (a >> 1) != 0) | |
408 | r = (375. / 10000.) * c1 * 256 / (a >> 1); | |
52c19022 | 409 | return r; |
410 | ||
411 | Float_t y1 = a + b*x1; | |
412 | Float_t y2 = a + b*x2; | |
413 | Float_t alpha = TMath::Abs( TMath::ATan(y2/x2) - TMath::ATan(y1/x1) ); | |
414 | d = TMath::Sqrt( TMath::Power(x2-x1, 2) + TMath::Power(y2-y1, 2) ); | |
415 | r = d / 2. / TMath::Sin(alpha); | |
416 | return r; | |
417 | } |