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1ee39b3a | 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-commercialf 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: AliTRDclusterResolution.cxx */ | |
17 | ||
18 | /////////////////////////////////////////////////////////////////////////////// | |
19 | // // | |
20 | // TRD cluster error parameterization // | |
21 | // // | |
22 | // This class is designed to produce the reference plots for a detailed study// | |
23 | // and parameterization of TRD cluster errors. The following effects are taken// | |
24 | // into account : // | |
25 | // - dependence with the total charge of the cluster // | |
26 | // - dependence with the distance from the center pad. This is monitored | |
27 | // for each layer individually since the pad size varies with layer | |
28 | // - dependence with the drift length - here the influence of anisochronity | |
29 | // and diffusion are searched | |
30 | // - dependence with the distance to the anode wire - anisochronity effects | |
31 | // - dependence with track angle (for y resolution) | |
32 | // The correlation between effects is taken into account. | |
33 | // | |
34 | // Since magnetic field plays a very important role in the TRD measurement | |
35 | // the ExB correction is forced by the setter function SetExB(Int_t). The | |
36 | // argument is the detector index, if none is specified all will be | |
37 | // considered. | |
38 | // | |
39 | // Two cases are of big importance. | |
40 | // - comparison with MC | |
41 | // - comparison with Kalman fit. In this case the covariance matrix of the | |
42 | // Kalman fit are needed. | |
43 | // | |
44 | // The functionalities implemented in this class are based on the storage | |
45 | // class AliTRDclusterInfo. | |
46 | // | |
47 | // The Method | |
48 | // ---------- | |
49 | // | |
50 | // The method to disentangle s_y and s_x is based on the relation (see also fig.) | |
51 | // BEGIN_LATEX | |
52 | // #sigma^{2} = #sigma^{2}_{y} + tg^{2}(#alpha_{L})*#sigma^{2}_{x_{d}} + tg^{2}(#phi-#alpha_{L})*(#sigma^{2}_{x_{d}}+#sigma^{2}_{x_{c}}) | |
53 | // END_LATEX | |
54 | // with | |
55 | // BEGIN_LATEX | |
56 | // #sigma^{2}_{x_{c}} #approx 0 | |
57 | // END_LATEX | |
58 | // we suppose the chamber is well calibrated for t_{0} and aligned in | |
59 | // radial direction. | |
60 | // | |
61 | // Clusters can be radially shifted due to three causes: | |
62 | // - globally shifted - due to residual misalignment/miscalibration(t0) | |
63 | // - locally shifted - due to different local drift velocity from the mean | |
64 | // - randomly shifted - due to neighboring (radial direction) clusters | |
65 | // charge induced by asymmetry of the TRF. | |
66 | // | |
67 | // We estimate this effects by the relations: | |
68 | // BEGIN_LATEX | |
69 | // #mu_{y} = tg(#alpha_{L})*#Delta x_{d}(...) + tg(#phi-#alpha_{L})*(#Delta x_{c}(...) + #Delta x_{d}(...)) | |
70 | // END_LATEX | |
71 | // where | |
72 | // BEGIN_LATEX | |
73 | // #Delta x_{d}(...) = (<v_{d}> + #delta v_{d}(x_{d}, d)) * (t + t^{*}(Q)) | |
74 | // END_LATEX | |
75 | // and we specified explicitely the variation of drift velocity parallel | |
76 | // with the track (x_{d}) and perpendicular to it due to anisochronity (d). | |
77 | // | |
78 | // For estimating the contribution from asymmetry of TRF the following | |
79 | // parameterization is being used | |
80 | // BEGIN_LATEX | |
81 | // t^{*}(Q) = #delta_{0} * #frac{Q_{t+1} - Q_{t-1}}{Q_{t-1} + Q_{t} + Q_{t+1}} | |
82 | // END_LATEX | |
83 | // | |
84 | // | |
85 | // Clusters can also be r-phi shifted due to: | |
86 | // - wrong PRF or wrong cuts at digits level | |
87 | //The following correction is applied : | |
88 | // BEGIN_LATEX | |
89 | // <#Delta y> = a + b * sin(c*y_{pw}) | |
90 | // END_LATEX | |
91 | ||
92 | // The Models | |
93 | // | |
94 | // Parameterization against total charge | |
95 | // | |
96 | // Obtained for B=0T at phi=0. All other effects integrated out. | |
97 | // BEGIN_LATEX | |
98 | // #sigma^{2}_{y}(Q) = #sigma^{2}_{y}(...) + b(#frac{1}{Q} - #frac{1}{Q_{0}}) | |
99 | // END_LATEX | |
100 | // For B diff 0T the error of the average ExB correction error has to be subtracted !! | |
101 | // | |
102 | // Parameterization Sx | |
103 | // | |
104 | // The parameterization of the error in the x direction can be written as | |
105 | // BEGIN_LATEX | |
106 | // #sigma_{x} = #sigma_{x}^{||} + #sigma_{x}^{#perp} | |
107 | // END_LATEX | |
108 | // | |
109 | // where the parallel component is given mainly by the TRF width while | |
110 | // the perpendicular component by the anisochronity. The model employed for | |
111 | // the parallel is gaus(0)+expo(3) with the following parameters | |
112 | // 1 C 5.49018e-01 1.23854e+00 3.84540e-04 -8.21084e-06 | |
113 | // 2 M 7.82999e-01 6.22531e-01 2.71272e-04 -6.88485e-05 | |
114 | // 3 S 2.74451e-01 1.13815e+00 2.90667e-04 1.13493e-05 | |
115 | // 4 E1 2.53596e-01 1.08646e+00 9.95591e-05 -2.11625e-05 | |
116 | // 5 E2 -2.40078e-02 4.26520e-01 4.67153e-05 -2.35392e-04 | |
117 | // | |
118 | // and perpendicular to the track is pol2 with the parameters | |
119 | // | |
120 | // Par_0 = 0.190676 +/- 0.41785 | |
121 | // Par_1 = -3.9269 +/- 7.49862 | |
122 | // Par_2 = 14.7851 +/- 27.8012 | |
123 | // | |
124 | // Parameterization Sy | |
125 | // | |
126 | // The parameterization of the error in the y direction along track uses | |
127 | // BEGIN_LATEX | |
128 | // #sigma_{y}^{||} = #sigma_{y}^{0} -a*exp(1/(x-b)) | |
129 | // END_LATEX | |
130 | // | |
131 | // with following values for the parameters: | |
132 | // 1 sy0 2.60967e-01 2.99652e-03 7.82902e-06 -1.89636e-04 | |
133 | // 2 a -7.68941e+00 1.87883e+00 3.84539e-04 9.38268e-07 | |
134 | // 3 b -3.41160e-01 7.72850e-02 1.63231e-05 2.51602e-05 | |
135 | // | |
136 | //========================================================================== | |
137 | // Example how to retrive reference plots from the task | |
138 | // void steerClErrParam(Int_t fig=0) | |
139 | // { | |
140 | // gSystem->Load("libANALYSIS.so"); | |
141 | // gSystem->Load("libTRDqaRec.so"); | |
142 | // | |
143 | // // initialize DB manager | |
144 | // AliCDBManager *cdb = AliCDBManager::Instance(); | |
145 | // cdb->SetDefaultStorage("local://$ALICE_ROOT/OCDB"); | |
146 | // cdb->SetRun(0); | |
147 | // // initialize magnetic field. | |
148 | // AliMagFCheb *field=new AliMagFCheb("Maps","Maps", 2, 1., 10., AliMagFCheb::k5kG); | |
149 | // AliTracker::SetFieldMap(field, kTRUE); | |
150 | // | |
151 | // AliTRDclusterResolution *res = new AliTRDclusterResolution(); | |
152 | // res->SetMCdata(); | |
153 | // res->Load("TRD.TaskClErrParam.root"); | |
154 | // res->SetExB(); | |
155 | // res->SetVisual(); | |
156 | // //res->SetSaveAs(); | |
157 | // res->SetProcessCharge(kFALSE); | |
158 | // res->SetProcessCenterPad(kFALSE); | |
159 | // //res->SetProcessMean(kFALSE); | |
160 | // res->SetProcessSigma(kFALSE); | |
161 | // if(!res->PostProcess()) return; | |
162 | // new TCanvas; | |
163 | // res->GetRefFigure(fig); | |
164 | // } | |
165 | // | |
166 | // Authors: // | |
167 | // Alexandru Bercuci <A.Bercuci@gsi.de> // | |
168 | //////////////////////////////////////////////////////////////////////////// | |
169 | ||
170 | #include "AliTRDclusterResolution.h" | |
171 | #include "info/AliTRDclusterInfo.h" | |
172 | #include "AliTRDgeometry.h" | |
801d4d50 | 173 | #include "AliTRDpadPlane.h" |
1ee39b3a | 174 | #include "AliTRDcluster.h" |
5935a6da | 175 | #include "AliTRDseedV1.h" |
1ee39b3a | 176 | #include "AliTRDcalibDB.h" |
177 | #include "AliTRDCommonParam.h" | |
178 | #include "Cal/AliTRDCalROC.h" | |
179 | #include "Cal/AliTRDCalDet.h" | |
180 | ||
801d4d50 | 181 | #include "AliESDEvent.h" |
1ee39b3a | 182 | #include "AliCDBManager.h" |
183 | ||
184 | #include "TROOT.h" | |
185 | #include "TObjArray.h" | |
186 | #include "TAxis.h" | |
187 | #include "TF1.h" | |
188 | #include "TLegend.h" | |
189 | #include "TGraphErrors.h" | |
190 | #include "TLine.h" | |
191 | #include "TH2I.h" | |
192 | #include "TH3S.h" | |
193 | #include "TTree.h" | |
194 | #include "TMath.h" | |
195 | #include "TLinearFitter.h" | |
1a68da85 | 196 | #include "TGeoGlobalMagField.h" |
1ee39b3a | 197 | |
198 | #include "TCanvas.h" | |
199 | #include "TSystem.h" | |
200 | ||
201 | ClassImp(AliTRDclusterResolution) | |
202 | ||
203 | const Float_t AliTRDclusterResolution::fgkTimeBinLength = 1./ AliTRDCommonParam::Instance()->GetSamplingFrequency(); | |
204 | //_______________________________________________________ | |
f8f46e4d | 205 | AliTRDclusterResolution::AliTRDclusterResolution() |
206 | : AliTRDrecoTask() | |
705f8b0a | 207 | ,fCanvas(NULL) |
208 | ,fInfo(NULL) | |
209 | ,fResults(NULL) | |
56f313bd | 210 | ,fSubTaskMap(0) |
211 | ,fUseCalib(7) | |
f8f46e4d | 212 | ,fDet(-1) |
801d4d50 | 213 | ,fCol(-1) |
214 | ,fRow(-1) | |
f8f46e4d | 215 | ,fExB(0.) |
e3147647 | 216 | ,fVdrift(1.5) |
5935a6da | 217 | ,fT0(0.) |
e3147647 | 218 | ,fGain(1.) |
563d1b38 | 219 | ,fDyRange(1.3) |
f8f46e4d | 220 | ,fLy(0) |
5935a6da | 221 | ,fT(0.) |
f8f46e4d | 222 | ,fX(0.) |
223 | ,fY(0.) | |
224 | ,fZ(0.) | |
225 | { | |
226 | // Constructor | |
705f8b0a | 227 | SetNameTitle("ClErrCalib", "Cluster Error Parameterization"); |
563d1b38 | 228 | memset(fR, 0, 4*sizeof(Float_t)); |
229 | memset(fP, 0, 4*sizeof(Float_t)); | |
f8f46e4d | 230 | } |
231 | ||
705f8b0a | 232 | //_______________________________________________________ |
233 | AliTRDclusterResolution::AliTRDclusterResolution(const char *name) | |
234 | : AliTRDrecoTask(name, "Cluster Error Parameterization") | |
4226db3e | 235 | ,fCanvas(NULL) |
236 | ,fInfo(NULL) | |
237 | ,fResults(NULL) | |
56f313bd | 238 | ,fSubTaskMap(0) |
239 | ,fUseCalib(7) | |
1ee39b3a | 240 | ,fDet(-1) |
801d4d50 | 241 | ,fCol(-1) |
242 | ,fRow(-1) | |
1ee39b3a | 243 | ,fExB(0.) |
e3147647 | 244 | ,fVdrift(1.5) |
5935a6da | 245 | ,fT0(0.) |
e3147647 | 246 | ,fGain(1.) |
563d1b38 | 247 | ,fDyRange(1.3) |
1ee39b3a | 248 | ,fLy(0) |
5935a6da | 249 | ,fT(0.) |
1ee39b3a | 250 | ,fX(0.) |
251 | ,fY(0.) | |
252 | ,fZ(0.) | |
253 | { | |
254 | // Constructor | |
255 | ||
256 | memset(fR, 0, 4*sizeof(Float_t)); | |
257 | memset(fP, 0, 4*sizeof(Float_t)); | |
1ee39b3a | 258 | |
259 | // By default register all analysis | |
260 | // The user can switch them off in his steering macro | |
261 | SetProcess(kQRes); | |
262 | SetProcess(kCenter); | |
263 | SetProcess(kMean); | |
264 | SetProcess(kSigm); | |
265 | } | |
266 | ||
267 | //_______________________________________________________ | |
268 | AliTRDclusterResolution::~AliTRDclusterResolution() | |
269 | { | |
270 | // Destructor | |
271 | ||
272 | if(fCanvas) delete fCanvas; | |
1ee39b3a | 273 | if(fResults){ |
274 | fResults->Delete(); | |
275 | delete fResults; | |
276 | } | |
277 | } | |
278 | ||
1ee39b3a | 279 | //_______________________________________________________ |
f8f46e4d | 280 | void AliTRDclusterResolution::UserCreateOutputObjects() |
1ee39b3a | 281 | { |
1ee39b3a | 282 | fContainer = Histos(); |
068e2c00 | 283 | PostData(1, fContainer); |
1ee39b3a | 284 | } |
285 | ||
286 | //_______________________________________________________ | |
287 | Bool_t AliTRDclusterResolution::GetRefFigure(Int_t ifig) | |
288 | { | |
289 | // Steering function to retrieve performance plots | |
290 | ||
291 | if(!fResults) return kFALSE; | |
4226db3e | 292 | TLegend *leg = NULL; |
293 | TList *l = NULL; | |
294 | TObjArray *arr = NULL; | |
295 | TTree *t = NULL; | |
296 | TH2 *h2 = NULL;TH1 *h1 = NULL; | |
297 | TGraphErrors *gm(NULL), *gs(NULL), *gp(NULL); | |
1ee39b3a | 298 | switch(ifig){ |
299 | case kQRes: | |
300 | if(!(arr = (TObjArray*)fResults->At(kQRes))) break; | |
301 | if(!(gm = (TGraphErrors*)arr->At(0))) break; | |
302 | if(!(gs = (TGraphErrors*)arr->At(1))) break; | |
303 | if(!(gp = (TGraphErrors*)arr->At(2))) break; | |
5935a6da | 304 | leg= new TLegend(.7, .7, .9, .95); |
305 | leg->SetBorderSize(0); leg->SetFillColor(0); leg->SetFillStyle(0); | |
306 | gs->Draw("apl"); leg->AddEntry(gs, "Sigma / Resolution", "pl"); | |
1ee39b3a | 307 | gs->GetHistogram()->GetYaxis()->SetRangeUser(-50., 700.); |
308 | gs->GetHistogram()->SetXTitle("Q [a.u.]"); | |
5935a6da | 309 | gs->GetHistogram()->SetYTitle("y - x tg(#alpha_{L}) [#mum]"); |
310 | gm->Draw("pl");leg->AddEntry(gm, "Mean / Systematics", "pl"); | |
311 | gp->Draw("pl");leg->AddEntry(gp, "Abundance / Probability", "pl"); | |
312 | leg->Draw(); | |
1ee39b3a | 313 | return kTRUE; |
314 | case kCenter: | |
315 | if(!(arr = (TObjArray*)fResults->At(kCenter))) break; | |
316 | gPad->Divide(2, 1); l = gPad->GetListOfPrimitives(); | |
317 | ((TVirtualPad*)l->At(0))->cd(); | |
5935a6da | 318 | ((TTree*)arr->At(0))->Draw(Form("y:t>>h(%d, -0.5, %f, 51, -.51, .51)",AliTRDseedV1::kNtb, AliTRDseedV1::kNtb-0.5), |
1ee39b3a | 319 | "m[0]*(ly==0&&abs(m[0])<1.e-1)", "colz"); |
320 | ((TVirtualPad*)l->At(1))->cd(); | |
321 | leg= new TLegend(.7, .7, .9, .95); | |
322 | leg->SetBorderSize(0); leg->SetFillColor(0); leg->SetFillStyle(0); | |
323 | leg->SetHeader("TRD Plane"); | |
324 | for(Int_t il = 1; il<=AliTRDgeometry::kNlayer; il++){ | |
325 | if(!(gm = (TGraphErrors*)arr->At(il))) return kFALSE; | |
326 | gm->Draw(il>1?"pc":"apc"); leg->AddEntry(gm, Form("%d", il-1), "pl"); | |
327 | if(il>1) continue; | |
5935a6da | 328 | gm->GetHistogram()->SetXTitle("t_{drift} [tb]"); |
1ee39b3a | 329 | gm->GetHistogram()->SetYTitle("#sigma_{y}(x|cen=0) [#mum]"); |
330 | gm->GetHistogram()->GetYaxis()->SetRangeUser(150., 500.); | |
331 | } | |
332 | leg->Draw(); | |
333 | return kTRUE; | |
334 | case kSigm: | |
335 | if(!(t = (TTree*)fResults->At(kSigm))) break; | |
336 | t->Draw("z:t>>h2x(23, 0.1, 2.4, 25, 0., 2.5)","sx*(1)", "lego2fb"); | |
337 | h2 = (TH2F*)gROOT->FindObject("h2x"); | |
338 | printf(" const Double_t sx[24][25]={\n"); | |
339 | for(Int_t ix=1; ix<=h2->GetNbinsX(); ix++){ | |
340 | printf(" {"); | |
341 | for(Int_t iy=1; iy<h2->GetNbinsY(); iy++){ | |
342 | printf("%6.4f ", h2->GetBinContent(ix, iy)); | |
343 | } | |
344 | printf("%6.4f},\n", h2->GetBinContent(ix, h2->GetNbinsY())); | |
345 | } | |
346 | printf(" };\n"); | |
347 | gPad->Divide(2, 1, 1.e-5, 1.e-5); l = gPad->GetListOfPrimitives(); | |
348 | ((TVirtualPad*)l->At(0))->cd(); | |
349 | h1 = h2->ProjectionX("hsx_pxx"); h1->Scale(1.e4/kND); h1->SetMarkerStyle(24); | |
350 | h1->SetYTitle("<#sigma_{x}> [#mum]"); | |
351 | h1->SetXTitle("t_{drift} [#mus]"); | |
5935a6da | 352 | h1->GetXaxis()->SetRange(2, AliTRDseedV1::kNtb-1); h1->Draw("pc"); |
1ee39b3a | 353 | |
354 | t->Draw("z:t>>h2y(23, 0.1, 2.4, 25, 0., 2.5)","sy*(1)", "lego2fb"); | |
355 | h2 = (TH2F*)gROOT->FindObject("h2y"); | |
356 | printf(" const Double_t sy[24][25]={\n"); | |
357 | for(Int_t ix=1; ix<=h2->GetNbinsX(); ix++){ | |
358 | printf(" {"); | |
359 | for(Int_t iy=1; iy<h2->GetNbinsY(); iy++){ | |
360 | printf("%6.4f ", h2->GetBinContent(ix, iy)); | |
361 | } | |
362 | printf("%6.4f},\n", h2->GetBinContent(ix, h2->GetNbinsY())); | |
363 | } | |
364 | printf(" };\n"); | |
365 | ((TVirtualPad*)l->At(1))->cd(); | |
366 | h1 = h2->ProjectionX("hsy_pxx"); h1->Scale(1.e4/kND); h1->SetMarkerStyle(24); | |
367 | h1->SetYTitle("<#sigma_{y}> [#mum]"); | |
368 | h1->SetXTitle("t_{drift} [#mus]"); | |
5935a6da | 369 | h1->GetXaxis()->SetRange(2, AliTRDseedV1::kNtb-1); h1->Draw("pc"); |
1ee39b3a | 370 | return kTRUE; |
371 | case kMean: | |
372 | if(!(t = (TTree*)fResults->At(kMean))) break; | |
2ba7720d | 373 | if(!t->Draw(Form("z:t>>h2x(%d, -0.5, %3.1f, %d, 0., 2.5)", |
5935a6da | 374 | AliTRDseedV1::kNtb, AliTRDseedV1::kNtb-0.5, kND), |
2ba7720d | 375 | "dx*(1)", "goff")) break; |
1ee39b3a | 376 | h2 = (TH2F*)gROOT->FindObject("h2x"); |
5935a6da | 377 | printf(" const Double_t dx[%d][%d]={\n", AliTRDseedV1::kNtb, kND); |
1ee39b3a | 378 | for(Int_t ix=1; ix<=h2->GetNbinsX(); ix++){ |
379 | printf(" {"); | |
380 | for(Int_t iy=1; iy<h2->GetNbinsY(); iy++){ | |
5935a6da | 381 | printf("%+6.4e, ", h2->GetBinContent(ix, iy)); |
1ee39b3a | 382 | } |
5935a6da | 383 | printf("%+6.4e},\n", h2->GetBinContent(ix, h2->GetNbinsY())); |
1ee39b3a | 384 | } |
385 | printf(" };\n"); | |
5935a6da | 386 | gPad->Divide(2, 2, 1.e-5, 1.e-5); l = gPad->GetListOfPrimitives(); |
1ee39b3a | 387 | ((TVirtualPad*)l->At(0))->cd(); |
5935a6da | 388 | h2->Draw("lego2fb"); |
389 | ((TVirtualPad*)l->At(2))->cd(); | |
1ee39b3a | 390 | h1 = h2->ProjectionX("hdx_pxx"); h1->Scale(1.e4/kND); h1->SetMarkerStyle(24); |
5935a6da | 391 | h1->SetYTitle("<#deltax> [#mum]"); |
b9ddd472 | 392 | h1->SetXTitle("t_{drift} [tb]"); |
5935a6da | 393 | //h1->GetXaxis()->SetRange(2, AliTRDseedV1::kNtb-1); |
394 | h1->Draw("pc"); | |
1ee39b3a | 395 | |
2ba7720d | 396 | if(!t->Draw(Form("z:t>>h2y(%d, -0.5, %3.1f, %d, 0., 2.5)", |
5935a6da | 397 | AliTRDseedV1::kNtb, AliTRDseedV1::kNtb-0.5, kND), |
2ba7720d | 398 | "dy*(1)", "goff")) break; |
1ee39b3a | 399 | h2 = (TH2F*)gROOT->FindObject("h2y"); |
5935a6da | 400 | printf(" const Double_t dy[%d][%d]={\n", AliTRDseedV1::kNtb, kND); |
1ee39b3a | 401 | for(Int_t ix=1; ix<=h2->GetNbinsX(); ix++){ |
402 | printf(" {"); | |
403 | for(Int_t iy=1; iy<h2->GetNbinsY(); iy++){ | |
5935a6da | 404 | printf("%+6.4e ", h2->GetBinContent(ix, iy)); |
1ee39b3a | 405 | } |
5935a6da | 406 | printf("%+6.4e},\n", h2->GetBinContent(ix, h2->GetNbinsY())); |
1ee39b3a | 407 | } |
408 | printf(" };\n"); | |
409 | ((TVirtualPad*)l->At(1))->cd(); | |
5935a6da | 410 | h2->Draw("lego2fb"); |
411 | ((TVirtualPad*)l->At(3))->cd(); | |
1ee39b3a | 412 | h1 = h2->ProjectionX("hdy_pxx"); h1->Scale(1.e4/kND); h1->SetMarkerStyle(24); |
5935a6da | 413 | h1->SetYTitle("<#deltay> [#mum]"); |
b9ddd472 | 414 | h1->SetXTitle("t_{drift} [tb]"); |
5935a6da | 415 | //h1->GetXaxis()->SetRange(2, AliTRDseedV1::kNtb-1); |
416 | h1->Draw("pc"); | |
1ee39b3a | 417 | |
418 | return kTRUE; | |
419 | default: | |
420 | break; | |
421 | } | |
422 | AliWarning("No container/data found."); | |
423 | return kFALSE; | |
424 | } | |
425 | ||
426 | //_______________________________________________________ | |
427 | TObjArray* AliTRDclusterResolution::Histos() | |
428 | { | |
429 | // Retrieve histograms array if already build or build it | |
430 | ||
431 | if(fContainer) return fContainer; | |
432 | fContainer = new TObjArray(kNtasks); | |
433 | //fContainer->SetOwner(kTRUE); | |
434 | ||
4226db3e | 435 | TH3S *h3 = NULL; |
436 | TObjArray *arr = NULL; | |
1ee39b3a | 437 | |
82b61d3c | 438 | // add resolution/pulls plots for dydx=ExB |
439 | fContainer->AddAt(arr = new TObjArray(2), kCenter); | |
1ee39b3a | 440 | arr->SetName("Center"); |
82b61d3c | 441 | if(!(h3=(TH3S*)gROOT->FindObject(Form("hCenRes%03d",fDet)))) { |
442 | h3 = new TH3S( | |
443 | Form("hCenRes%03d",fDet), | |
444 | Form(" Det[%d] Col[%d] Row[%d];t [bin];y [pw];#Delta y[cm]", fDet, fCol, fRow), | |
445 | AliTRDseedV1::kNtb, -.5, AliTRDseedV1::kNtb-0.5, // x | |
446 | 51, -.51, .51, // y | |
447 | 60, -fDyRange, fDyRange); // dy | |
448 | } h3->Reset(); | |
449 | arr->AddAt(h3, 0); | |
450 | // add Pull plot for each layer | |
451 | if(!(h3=(TH3S*)gROOT->FindObject(Form("hCenPull%03d", fDet)))){ | |
452 | h3 = new TH3S( | |
453 | Form("hCenPull%03d", fDet), | |
454 | Form(" Det[%d] Col[%d] Row[%d];t [bin];y [pw];#Delta y[cm]/#sigma_{y}", fDet, fCol, fRow), | |
455 | AliTRDseedV1::kNtb, -0.5, AliTRDseedV1::kNtb-0.5, // x | |
456 | 51, -.51, .51, // y | |
457 | 60, -4., 4.); // dy/sy | |
458 | } h3->Reset(); | |
459 | arr->AddAt(h3, 1); | |
460 | ||
461 | if(!(h3 = (TH3S*)gROOT->FindObject(Form("Charge%03d", fDet)))){ | |
462 | h3 = new TH3S(Form("Charge%03d", fDet), | |
463 | "dy=f(q);log(q) [a.u.];#Delta y[cm];#Delta y/#sigma_{y}", | |
464 | 50, 2.2, 7.5, 60, -fDyRange, fDyRange, 60, -4., 4.); | |
1ee39b3a | 465 | } |
466 | fContainer->AddAt(h3, kQRes); | |
467 | ||
5935a6da | 468 | fContainer->AddAt(arr = new TObjArray(AliTRDseedV1::kNtb), kSigm); |
1ee39b3a | 469 | arr->SetName("Resolution"); |
82b61d3c | 470 | for(Int_t it=0; it<AliTRDseedV1::kNtb; it++){ |
471 | if(!(h3=(TH3S*)gROOT->FindObject(Form("hr%03d_t%02d", fDet, it)))){ | |
1ee39b3a | 472 | h3 = new TH3S( |
7bf75b68 | 473 | Form("hr%03d_t%02d", fDet, it), |
82b61d3c | 474 | Form(" Det[%d] t_{drift}(%2d)[bin];z [mm];tg#phi;#Delta y[cm]", fDet, it), |
1ee39b3a | 475 | kND, 0., 2.5, // z |
476 | 35, -.35, .35, // tgp | |
563d1b38 | 477 | 60, -fDyRange, fDyRange); // dy |
1ee39b3a | 478 | } |
82b61d3c | 479 | arr->AddAt(h3, it); |
1ee39b3a | 480 | } |
481 | ||
5935a6da | 482 | fContainer->AddAt(arr = new TObjArray(AliTRDseedV1::kNtb), kMean); |
1ee39b3a | 483 | arr->SetName("Systematics"); |
82b61d3c | 484 | for(Int_t it=0; it<AliTRDseedV1::kNtb; it++){ |
485 | if(!(h3=(TH3S*)gROOT->FindObject(Form("hs%03d_t%02d", fDet, it)))){ | |
1ee39b3a | 486 | h3 = new TH3S( |
82b61d3c | 487 | Form("hs%03d_t%02d", fDet, it), |
488 | Form(" Det[%d] t_{drift}(%2d)[bin];z [mm];tg#phi - h*tg(#theta);#Delta y[cm]", fDet, it), | |
1ee39b3a | 489 | kND, 0., 2.5, // z |
490 | 35, -.35, .35, // tgp-h tgt | |
563d1b38 | 491 | 60, -fDyRange, fDyRange); // dy |
1ee39b3a | 492 | } |
82b61d3c | 493 | arr->AddAt(h3, it); |
1ee39b3a | 494 | } |
495 | ||
496 | return fContainer; | |
497 | } | |
498 | ||
499 | //_______________________________________________________ | |
f8f46e4d | 500 | void AliTRDclusterResolution::UserExec(Option_t *) |
1ee39b3a | 501 | { |
502 | // Fill container histograms | |
503 | ||
e3147647 | 504 | |
5935a6da | 505 | fInfo = dynamic_cast<TObjArray *>(GetInputData(1)); |
3c5f2bf7 | 506 | AliDebug(2, Form("Clusters[%d]", fInfo->GetEntriesFast())); |
e3147647 | 507 | if(!IsCalibrated()){ |
508 | LoadCalibration(); | |
509 | if(!IsCalibrated()){ | |
510 | AliWarning("Loading the calibration settings failed. Check OCDB access."); | |
801d4d50 | 511 | return; |
512 | } | |
513 | } | |
1ee39b3a | 514 | |
515 | Int_t det, t; | |
516 | Float_t x, y, z, q, dy, dydx, dzdx, cov[3], covcl[3]; | |
4226db3e | 517 | TH3S *h3 = NULL; |
1ee39b3a | 518 | |
519 | // define limits around ExB for which x contribution is negligible | |
520 | const Float_t kDtgPhi = 3.5e-2; //(+- 2 deg) | |
521 | ||
522 | TObjArray *arr0 = (TObjArray*)fContainer->At(kCenter); | |
523 | TObjArray *arr1 = (TObjArray*)fContainer->At(kSigm); | |
524 | TObjArray *arr2 = (TObjArray*)fContainer->At(kMean); | |
525 | ||
4226db3e | 526 | const AliTRDclusterInfo *cli = NULL; |
1ee39b3a | 527 | TIterator *iter=fInfo->MakeIterator(); |
528 | while((cli=dynamic_cast<AliTRDclusterInfo*>((*iter)()))){ | |
529 | cli->GetCluster(det, x, y, z, q, t, covcl); | |
5935a6da | 530 | |
801d4d50 | 531 | // select cluster according to detector region if specified |
1ee39b3a | 532 | if(fDet>=0 && fDet!=det) continue; |
801d4d50 | 533 | if(fCol>=0 && fRow>=0){ |
534 | Int_t c,r; | |
535 | cli->GetCenterPad(c, r); | |
536 | if(TMath::Abs(fCol-c) > 5) continue; | |
537 | if(TMath::Abs(fRow-r) > 2) continue; | |
538 | } | |
801d4d50 | 539 | dy = cli->GetResolution(); |
540 | AliDebug(4, Form("det[%d] tb[%2d] q[%4.0f Log[%6.4f]] dy[%7.2f][um] ypull[%5.2f]", det, t, q, TMath::Log(q), 1.e4*dy, dy/TMath::Sqrt(covcl[0]))); | |
1ee39b3a | 541 | |
1ee39b3a | 542 | cli->GetGlobalPosition(y, z, dydx, dzdx, &cov[0]); |
543 | ||
544 | // resolution as a function of cluster charge | |
545 | // only for phi equal exB | |
546 | if(TMath::Abs(dydx-fExB) < kDtgPhi){ | |
547 | h3 = (TH3S*)fContainer->At(kQRes); | |
548 | h3->Fill(TMath::Log(q), dy, dy/TMath::Sqrt(covcl[0])); | |
1ee39b3a | 549 | } |
550 | ||
551 | // do not use problematic clusters in resolution analysis | |
552 | // TODO define limits as calibration aware (gain) !! | |
e3147647 | 553 | if(q<20.*fGain || q>250.*fGain) continue; |
1ee39b3a | 554 | |
5935a6da | 555 | //x = (t+.5)*fgkTimeBinLength; // conservative approach !! |
1ee39b3a | 556 | |
557 | // resolution as a function of y displacement from pad center | |
558 | // only for phi equal exB | |
5935a6da | 559 | if(TMath::Abs(dydx-fExB) < kDtgPhi){ |
82b61d3c | 560 | h3 = (TH3S*)arr0->At(0); |
5935a6da | 561 | h3->Fill(t, cli->GetYDisplacement(), dy); |
82b61d3c | 562 | h3 = (TH3S*)arr0->At(1); |
5935a6da | 563 | h3->Fill(t, cli->GetYDisplacement(), dy/TMath::Sqrt(covcl[0])); |
1ee39b3a | 564 | } |
565 | ||
5935a6da | 566 | Int_t it(((TH3S*)arr0->At(0))->GetXaxis()->FindBin(t)); |
1ee39b3a | 567 | |
568 | // fill histo for resolution (sigma) | |
5935a6da | 569 | ((TH3S*)arr1->At(it-1))->Fill(10.*cli->GetAnisochronity(), dydx, dy); |
1ee39b3a | 570 | |
571 | // fill histo for systematic (mean) | |
5935a6da | 572 | ((TH3S*)arr2->At(it-1))->Fill(10.*cli->GetAnisochronity(), dydx-cli->GetTilt()*dzdx, dy); |
1ee39b3a | 573 | } |
1ee39b3a | 574 | } |
575 | ||
576 | ||
577 | //_______________________________________________________ | |
578 | Bool_t AliTRDclusterResolution::PostProcess() | |
579 | { | |
64d57299 | 580 | // Steer processing of various cluster resolution dependences : |
581 | // | |
582 | // - process resolution dependency cluster charge | |
583 | // if(HasProcess(kQRes)) ProcessCharge(); | |
584 | // - process resolution dependency on y displacement | |
585 | // if(HasProcess(kCenter)) ProcessCenterPad(); | |
586 | // - process resolution dependency on drift legth and drift cell width | |
587 | // if(HasProcess(kSigm)) ProcessSigma(); | |
588 | // - process systematic shift on drift legth and drift cell width | |
589 | // if(HasProcess(kMean)) ProcessMean(); | |
590 | ||
1ee39b3a | 591 | if(!fContainer) return kFALSE; |
e3147647 | 592 | if(!IsCalibrated()){ |
593 | AliWarning("Not calibrated."); | |
594 | return kFALSE; | |
595 | } | |
4226db3e | 596 | TObjArray *arr = NULL; |
597 | TTree *t=NULL; | |
1ee39b3a | 598 | if(!fResults){ |
4226db3e | 599 | TGraphErrors *g = NULL; |
1ee39b3a | 600 | fResults = new TObjArray(kNtasks); |
601 | fResults->SetOwner(); | |
602 | fResults->AddAt(arr = new TObjArray(3), kQRes); | |
603 | arr->SetOwner(); | |
604 | arr->AddAt(g = new TGraphErrors(), 0); | |
605 | g->SetLineColor(kBlue); g->SetMarkerColor(kBlue); | |
606 | g->SetMarkerStyle(7); | |
607 | arr->AddAt(g = new TGraphErrors(), 1); | |
608 | g->SetLineColor(kRed); g->SetMarkerColor(kRed); | |
609 | g->SetMarkerStyle(23); | |
610 | arr->AddAt(g = new TGraphErrors(), 2); | |
611 | g->SetLineColor(kGreen); g->SetMarkerColor(kGreen); | |
612 | g->SetMarkerStyle(7); | |
613 | ||
614 | // pad center dependence | |
615 | fResults->AddAt(arr = new TObjArray(AliTRDgeometry::kNlayer+1), kCenter); | |
616 | arr->SetOwner(); | |
617 | arr->AddAt( | |
618 | t = new TTree("cent", "dy=f(y,x,ly)"), 0); | |
619 | t->Branch("ly", &fLy, "ly/B"); | |
5935a6da | 620 | t->Branch("t", &fT, "t/F"); |
1ee39b3a | 621 | t->Branch("y", &fY, "y/F"); |
622 | t->Branch("m", &fR[0], "m[2]/F"); | |
623 | t->Branch("s", &fR[2], "s[2]/F"); | |
624 | t->Branch("pm", &fP[0], "pm[2]/F"); | |
625 | t->Branch("ps", &fP[2], "ps[2]/F"); | |
626 | for(Int_t il=1; il<=AliTRDgeometry::kNlayer; il++){ | |
627 | arr->AddAt(g = new TGraphErrors(), il); | |
628 | g->SetLineColor(il); g->SetLineStyle(il); | |
629 | g->SetMarkerColor(il);g->SetMarkerStyle(4); | |
630 | } | |
631 | ||
632 | ||
633 | fResults->AddAt(t = new TTree("sigm", "dy=f(dw,x,dydx)"), kSigm); | |
5935a6da | 634 | t->Branch("t", &fT, "t/F"); |
635 | t->Branch("x", &fX, "x/F"); | |
1ee39b3a | 636 | t->Branch("z", &fZ, "z/F"); |
637 | t->Branch("sx", &fR[0], "sx[2]/F"); | |
638 | t->Branch("sy", &fR[2], "sy[2]/F"); | |
639 | ||
640 | ||
641 | fResults->AddAt(t = new TTree("mean", "dy=f(dw,x,dydx - h dzdx)"), kMean); | |
5935a6da | 642 | t->Branch("t", &fT, "t/F"); |
643 | t->Branch("x", &fX, "x/F"); | |
1ee39b3a | 644 | t->Branch("z", &fZ, "z/F"); |
645 | t->Branch("dx", &fR[0], "dx[2]/F"); | |
646 | t->Branch("dy", &fR[2], "dy[2]/F"); | |
647 | } else { | |
4226db3e | 648 | TObject *o = NULL; |
1ee39b3a | 649 | TIterator *iter=fResults->MakeIterator(); |
650 | while((o=((*iter)()))) o->Clear(); // maybe it is wrong but we should never reach this point | |
651 | } | |
652 | ||
1ee39b3a | 653 | // process resolution dependency on charge |
654 | if(HasProcess(kQRes)) ProcessCharge(); | |
655 | ||
656 | // process resolution dependency on y displacement | |
657 | if(HasProcess(kCenter)) ProcessCenterPad(); | |
658 | ||
659 | // process resolution dependency on drift legth and drift cell width | |
660 | if(HasProcess(kSigm)) ProcessSigma(); | |
661 | ||
662 | // process systematic shift on drift legth and drift cell width | |
663 | if(HasProcess(kMean)) ProcessMean(); | |
664 | ||
665 | return kTRUE; | |
666 | } | |
667 | ||
668 | //_______________________________________________________ | |
e3147647 | 669 | Bool_t AliTRDclusterResolution::LoadCalibration() |
1ee39b3a | 670 | { |
801d4d50 | 671 | // Retrieve calibration parameters from OCDB, drift velocity and t0 for the detector region specified by |
672 | // a previous call to AliTRDclusterResolution::SetCalibrationRegion(). | |
673 | ||
56f313bd | 674 | AliCDBManager *cdb = AliCDBManager::Instance(); // check access OCDB |
1ee39b3a | 675 | if(cdb->GetRun() < 0){ |
676 | AliError("OCDB manager not properly initialized"); | |
677 | return kFALSE; | |
678 | } | |
1ee39b3a | 679 | // check magnetic field |
56f313bd | 680 | if(!TGeoGlobalMagField::Instance() || !TGeoGlobalMagField::Instance()->IsLocked()){ |
681 | AliError("Magnetic field not available."); | |
801d4d50 | 682 | return kFALSE; |
1ee39b3a | 683 | } |
684 | ||
801d4d50 | 685 | // check pad for detector |
686 | if(fCol>=0 && fRow>=0){ | |
687 | AliTRDgeometry geo; | |
688 | AliTRDpadPlane *pp(geo.GetPadPlane(fDet)); | |
689 | if(fCol>=pp->GetNcols() || | |
690 | fRow>=pp->GetNrows()){ | |
691 | AliWarning(Form("Pad coordinates col[%d] or row[%d] incorrect for det[%d].\nLimits are max col[%d] max row[%d]. Reset to default", fCol, fRow, fDet, pp->GetNcols(), pp->GetNrows())); | |
692 | fCol = -1; fRow=-1; | |
693 | } | |
694 | } | |
1ee39b3a | 695 | |
696 | AliTRDcalibDB *fCalibration = AliTRDcalibDB::Instance(); | |
801d4d50 | 697 | AliTRDCalROC *fCalVdriftROC(fCalibration->GetVdriftROC(fDet>=0?fDet:0)) |
698 | ,*fCalT0ROC(fCalibration->GetT0ROC(fDet>=0?fDet:0)); | |
1ee39b3a | 699 | const AliTRDCalDet *fCalVdriftDet = fCalibration->GetVdriftDet(); |
5935a6da | 700 | const AliTRDCalDet *fCalT0Det = fCalibration->GetT0Det(); |
1ee39b3a | 701 | |
56f313bd | 702 | if(IsUsingCalibParam(kVdrift)){ |
703 | fVdrift = fCalVdriftDet->GetValue(fDet>=0?fDet:0); | |
704 | if(fCol>=0 && fRow>=0) fVdrift*= fCalVdriftROC->GetValue(fCol, fRow); | |
705 | } | |
5935a6da | 706 | fExB = AliTRDCommonParam::Instance()->GetOmegaTau(fVdrift); |
56f313bd | 707 | if(IsUsingCalibParam(kT0)){ |
708 | fT0 = fCalT0Det->GetValue(fDet>=0?fDet:0); | |
709 | if(fCol>=0 && fRow>=0) fT0 *= fCalT0ROC->GetValue(fCol, fRow); | |
710 | } | |
711 | if(IsUsingCalibParam(kGain)) fGain = (fCol>=0 && fRow>=0)?fCalibration-> GetGainFactor(fDet, fCol, fRow):fCalibration-> GetGainFactorAverage(fDet); | |
712 | ||
e3147647 | 713 | SetBit(kCalibrated); |
5935a6da | 714 | |
56f313bd | 715 | AliInfo(Form("Calibrate for Det[%3d] Col[%3d] Row[%2d] : \n t0[%5.3f] vd[%5.3f] gain[%5.3f] ExB[%f]", fDet, fCol, fRow, fT0, fVdrift, fGain, fExB)); |
5935a6da | 716 | |
1ee39b3a | 717 | return kTRUE; |
718 | } | |
719 | ||
801d4d50 | 720 | //_______________________________________________________ |
721 | void AliTRDclusterResolution::SetCalibrationRegion(Int_t det, Int_t col, Int_t row) | |
722 | { | |
723 | // Set calibration region in terms of detector and pad. | |
724 | // By default detector 0 mean values are considered. | |
725 | ||
726 | if(det>=0 && det<AliTRDgeometry::kNdet){ | |
727 | fDet = det; | |
728 | if(col>=0 && row>=0){ | |
729 | fCol = col; | |
730 | fRow = row; | |
731 | } | |
732 | return; | |
733 | } | |
734 | AliError(Form("Detector index outside range [0 %d].", AliTRDgeometry::kNdet)); | |
735 | } | |
736 | ||
1ee39b3a | 737 | //_______________________________________________________ |
738 | void AliTRDclusterResolution::SetVisual() | |
739 | { | |
740 | if(fCanvas) return; | |
741 | fCanvas = new TCanvas("clResCanvas", "Cluster Resolution Visualization", 10, 10, 600, 600); | |
742 | } | |
743 | ||
744 | //_______________________________________________________ | |
745 | void AliTRDclusterResolution::ProcessCharge() | |
746 | { | |
747 | // Resolution as a function of cluster charge. | |
748 | // | |
749 | // As described in the function ProcessCenterPad() the error parameterization for clusters for phi = a_L can be | |
750 | // written as: | |
751 | // BEGIN_LATEX | |
752 | // #sigma_{y}^{2} = #sigma_{y}^{2}|_{B=0} + tg^{2}(#alpha_{L})*#sigma_{x}^{2} | |
753 | // END_LATEX | |
754 | // with the contribution in case of B=0 given by: | |
755 | // BEGIN_LATEX | |
756 | // #sigma_{y}|_{B=0} = #sigma_{diff}*Gauss(0, s_{ly}) + #delta_{#sigma}(q) | |
757 | // END_LATEX | |
758 | // which further can be simplified to: | |
759 | // BEGIN_LATEX | |
760 | // <#sigma_{y}|_{B=0}>(q) = <#sigma_{y}> + #delta_{#sigma}(q) | |
761 | // <#sigma_{y}> = #int{f(q)#sigma_{y}dq} | |
762 | // END_LATEX | |
763 | // The results for s_y and f(q) are displayed below: | |
764 | //Begin_Html | |
765 | //<img src="TRD/clusterQerror.gif"> | |
766 | //End_Html | |
767 | // The function has to extended to accomodate gain calibration scalling and errors. | |
768 | // | |
769 | // Author | |
770 | // Alexandru Bercuci <A.Bercuci@gsi.de> | |
771 | ||
5935a6da | 772 | TH3S *h3(NULL); |
773 | if(!(h3 = (TH3S*)fContainer->At(kQRes))) { | |
1ee39b3a | 774 | AliWarning("Missing dy=f(Q) histo"); |
775 | return; | |
776 | } | |
777 | TF1 f("f", "gaus", -.5, .5); | |
5935a6da | 778 | TAxis *ax(NULL); |
779 | TH1 *h1(NULL); | |
1ee39b3a | 780 | |
781 | // compute mean error on x | |
782 | Double_t s2x = 0.; | |
5935a6da | 783 | for(Int_t ix=5; ix<AliTRDseedV1::kNtb; ix++){ |
1ee39b3a | 784 | // retrieve error on the drift length |
785 | s2x += AliTRDcluster::GetSX(ix); | |
786 | } | |
5935a6da | 787 | s2x /= (AliTRDseedV1::kNtb-5); s2x *= s2x; |
76d976d2 | 788 | //Double_t exb2 = fExB*fExB; |
1ee39b3a | 789 | |
790 | TObjArray *arr = (TObjArray*)fResults->At(kQRes); | |
791 | TGraphErrors *gqm = (TGraphErrors*)arr->At(0); | |
792 | TGraphErrors *gqs = (TGraphErrors*)arr->At(1); | |
793 | TGraphErrors *gqp = (TGraphErrors*)arr->At(2); | |
794 | Double_t q, n = 0., entries; | |
5935a6da | 795 | ax = h3->GetXaxis(); |
1ee39b3a | 796 | for(Int_t ix=1; ix<=ax->GetNbins(); ix++){ |
797 | q = TMath::Exp(ax->GetBinCenter(ix)); | |
5935a6da | 798 | ax->SetRange(ix, ix); |
799 | h1 = h3->Project3D("y"); | |
1ee39b3a | 800 | entries = h1->GetEntries(); |
5935a6da | 801 | if(entries < 150) continue; |
1ee39b3a | 802 | h1->Fit(&f, "Q"); |
803 | ||
804 | // Fill sy^2 = f(q) | |
805 | Int_t ip = gqm->GetN(); | |
806 | gqm->SetPoint(ip, q, 1.e4*f.GetParameter(1)); | |
807 | gqm->SetPointError(ip, 0., 1.e4*f.GetParError(1)); | |
808 | ||
809 | // correct sigma for ExB effect | |
5935a6da | 810 | gqs->SetPoint(ip, q, 1.e4*f.GetParameter(2)/**f.GetParameter(2)-exb2*s2x)*/); |
811 | gqs->SetPointError(ip, 0., 1.e4*f.GetParError(2)/**f.GetParameter(2)*/); | |
1ee39b3a | 812 | |
813 | // save probability | |
814 | n += entries; | |
815 | gqp->SetPoint(ip, q, entries); | |
816 | gqp->SetPointError(ip, 0., 0./*TMath::Sqrt(entries)*/); | |
817 | } | |
818 | ||
819 | // normalize probability and get mean sy | |
820 | Double_t sm = 0., sy; | |
821 | for(Int_t ip=gqp->GetN(); ip--;){ | |
822 | gqp->GetPoint(ip, q, entries); | |
823 | entries/=n; | |
5935a6da | 824 | gqp->SetPoint(ip, q, 1.e4*entries); |
1ee39b3a | 825 | gqs->GetPoint(ip, q, sy); |
826 | sm += entries*sy; | |
827 | } | |
828 | ||
829 | // error parametrization s(q) = <sy> + b(1/q-1/q0) | |
830 | TF1 fq("fq", "[0] + [1]/x", 20., 250.); | |
831 | gqs->Fit(&fq/*, "W"*/); | |
832 | printf("sm=%f [0]=%f [1]=%f\n", 1.e-4*sm, fq.GetParameter(0), fq.GetParameter(1)); | |
833 | printf(" const Float_t sq0inv = %f; // [1/q0]\n", (sm-fq.GetParameter(0))/fq.GetParameter(1)); | |
834 | printf(" const Float_t sqb = %f; // [cm]\n", 1.e-4*fq.GetParameter(1)); | |
835 | } | |
836 | ||
837 | //_______________________________________________________ | |
838 | void AliTRDclusterResolution::ProcessCenterPad() | |
839 | { | |
840 | // Resolution as a function of y displacement from pad center and drift length. | |
841 | // | |
842 | // Since the error parameterization of cluster r-phi position can be written as (see AliTRDcluster::SetSigmaY2()): | |
843 | // BEGIN_LATEX | |
844 | // #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 | |
845 | // END_LATEX | |
846 | // one can see that for phi = a_L one gets the following expression: | |
847 | // BEGIN_LATEX | |
848 | // #sigma_{y}^{2} = #sigma_{y}^{2}|_{B=0} + tg^{2}(#alpha_{L})*#sigma_{x}^{2} | |
849 | // END_LATEX | |
850 | // where we have explicitely marked the remaining term in case of absence of magnetic field. Thus one can use the | |
851 | // previous equation to estimate s_y for B=0 and than by comparing in magnetic field conditions one can get the s_x. | |
852 | // This is a simplified method to determine the error parameterization for s_x and s_y as compared to the one | |
853 | // implemented in ProcessSigma(). For more details on cluster error parameterization please see also | |
854 | // AliTRDcluster::SetSigmaY2() | |
855 | // | |
856 | // The representation of dy=f(y_cen, x_drift| layer) can be also used to estimate the systematic shift in the r-phi | |
857 | // coordinate resulting from imperfection in the cluster shape parameterization. From the expresion of the shift derived | |
858 | // in ProcessMean() with phi=exb one gets: | |
859 | // BEGIN_LATEX | |
860 | // <#Delta y>= <#delta x> * (tg(#alpha_{L})-h*dz/dx) + <#delta y - #delta x * tg(#alpha_{L})> | |
861 | // <#Delta y>(y_{cen})= -h*<#delta x>(x_{drift}, q_{cl}) * dz/dx + #delta y(y_{cen}, ...) | |
862 | // END_LATEX | |
863 | // where all dependences are made explicit. This last expression can be used in two ways: | |
864 | // - by average on the dz/dx we can determine directly dy (the method implemented here) | |
865 | // - by plotting as a function of dzdx one can determine both dx and dy components in an independent method. | |
866 | //Begin_Html | |
867 | //<img src="TRD/clusterYcorr.gif"> | |
868 | //End_Html | |
869 | // Author | |
870 | // Alexandru Bercuci <A.Bercuci@gsi.de> | |
871 | ||
872 | TObjArray *arr = (TObjArray*)fContainer->At(kCenter); | |
873 | if(!arr) { | |
874 | AliWarning("Missing dy=f(y | x, ly) container"); | |
875 | return; | |
876 | } | |
877 | Double_t exb2 = fExB*fExB; | |
878 | Float_t s[AliTRDgeometry::kNlayer]; | |
879 | TF1 f("f", "gaus", -.5, .5); | |
880 | TF1 fp("fp", "gaus", -3.5, 3.5); | |
881 | ||
4226db3e | 882 | TH1D *h1 = NULL; TH2F *h2 = NULL; TH3S *h3r=NULL, *h3p=NULL; |
1ee39b3a | 883 | TObjArray *arrRes = (TObjArray*)fResults->At(kCenter); |
884 | TTree *t = (TTree*)arrRes->At(0); | |
4226db3e | 885 | TGraphErrors *gs = NULL; |
886 | TAxis *ax = NULL; | |
1ee39b3a | 887 | |
5935a6da | 888 | AliDebug(1, Form("Calibrate for Det[%3d] t0[%5.3f] vd[%5.3f]", fDet, fT0, fVdrift)); |
889 | ||
1ee39b3a | 890 | const Int_t nl = AliTRDgeometry::kNlayer; |
5935a6da | 891 | printf(" const Float_t lSy[%d][%d] = {\n {", nl, AliTRDseedV1::kNtb); |
1ee39b3a | 892 | for(Int_t il=0; il<nl; il++){ |
893 | if(!(h3r = (TH3S*)arr->At(il))) continue; | |
894 | if(!(h3p = (TH3S*)arr->At(nl+il))) continue; | |
895 | gs = (TGraphErrors*)arrRes->At(il+1); | |
896 | fLy = il; | |
1ee39b3a | 897 | for(Int_t ix=1; ix<=h3r->GetXaxis()->GetNbins(); ix++){ |
898 | ax = h3r->GetXaxis(); ax->SetRange(ix, ix); | |
899 | ax = h3p->GetXaxis(); ax->SetRange(ix, ix); | |
5935a6da | 900 | fT = ax->GetBinCenter(ix); |
1ee39b3a | 901 | for(Int_t iy=1; iy<=h3r->GetYaxis()->GetNbins(); iy++){ |
902 | ax = h3r->GetYaxis(); ax->SetRange(iy, iy); | |
903 | ax = h3p->GetYaxis(); ax->SetRange(iy, iy); | |
904 | fY = ax->GetBinCenter(iy); | |
1ee39b3a | 905 | // finish navigation in the HnSparse |
906 | ||
907 | h1 = (TH1D*)h3r->Project3D("z"); | |
908 | Int_t entries = (Int_t)h1->Integral(); | |
909 | if(entries < 50) continue; | |
910 | //Adjust(&f, h1); | |
911 | h1->Fit(&f, "QN"); | |
912 | ||
913 | // Fill sy,my=f(y_w,x,ly) | |
914 | fR[0] = f.GetParameter(1); fR[1] = f.GetParError(1); | |
915 | fR[2] = f.GetParameter(2); fR[3] = f.GetParError(2); | |
916 | ||
917 | h1 = (TH1D*)h3p->Project3D("z"); | |
918 | h1->Fit(&fp, "QN"); | |
919 | fP[0] = fp.GetParameter(1); fP[1] = fp.GetParError(1); | |
920 | fP[2] = fp.GetParameter(2); fP[3] = fp.GetParError(2); | |
921 | ||
ca50a37e | 922 | AliDebug(4, Form("ly[%d] tb[%2d] y[%+5.2f] m[%5.3f] s[%5.3f] pm[%5.3f] ps[%5.3f]", fLy, (Int_t)fT, fY, fR[0], fR[2], fP[0], fP[2])); |
1ee39b3a | 923 | t->Fill(); |
1ee39b3a | 924 | } |
925 | } | |
5935a6da | 926 | t->Draw(Form("y:t>>h(%d, -0.5, %f, 51, -.51, .51)", AliTRDseedV1::kNtb, AliTRDseedV1::kNtb-0.5), |
1ee39b3a | 927 | Form("s[0]*(ly==%d&&abs(m[0])<1.e-1)", fLy), |
928 | "goff"); | |
929 | h2=(TH2F*)gROOT->FindObject("h"); | |
930 | f.FixParameter(1, 0.); | |
931 | Int_t n = h2->GetXaxis()->GetNbins(), nn(0); s[il]=0.; | |
932 | printf(" {"); | |
933 | for(Int_t ix=1; ix<=n; ix++){ | |
934 | ax = h2->GetXaxis(); | |
5935a6da | 935 | fT = ax->GetBinCenter(ix); |
1ee39b3a | 936 | h1 = h2->ProjectionY("hCenPy", ix, ix); |
937 | //if((Int_t)h1->Integral() < 1.e-10) continue; | |
938 | ||
939 | // Apply lorentz angle correction | |
940 | // retrieve error on the drift length | |
941 | Double_t s2x = AliTRDcluster::GetSX(ix-1); s2x *= s2x; | |
942 | Int_t nnn = 0; | |
943 | for(Int_t iy=1; iy<=h1->GetNbinsX(); iy++){ | |
944 | Double_t s2 = h1->GetBinContent(iy); s2*= s2; | |
945 | // sigma square corrected for Lorentz angle | |
946 | // s2 = s2_y(y_w,x)+exb2*s2_x | |
947 | Double_t sy = TMath::Sqrt(TMath::Max(s2 - exb2*s2x, Double_t(0.))); | |
948 | if(sy<1.e-20) continue; | |
949 | h1->SetBinContent(iy, sy); nnn++; | |
5935a6da | 950 | AliDebug(4, Form("s[%6.2f] sx[%6.2f] sy[%6.2f]\n", |
1ee39b3a | 951 | 1.e4*TMath::Sqrt(s2), 1.e4*TMath::Abs(fExB*AliTRDcluster::GetSX(ix-1)), |
5935a6da | 952 | 1.e4*h1->GetBinContent(iy))); |
1ee39b3a | 953 | } |
954 | // do fit only if enough data | |
955 | Double_t sPRF = 0.; | |
956 | if(nnn>5){ | |
957 | h1->Fit(&f, "QN"); | |
5935a6da | 958 | sPRF = f.GetParameter(2); nn++; |
1ee39b3a | 959 | } |
960 | s[il]+=sPRF; | |
961 | printf("%6.4f,%s", sPRF, ix%6?" ":"\n "); | |
962 | Int_t jx = gs->GetN(); | |
5935a6da | 963 | gs->SetPoint(jx, fT, 1.e4*sPRF); |
1ee39b3a | 964 | gs->SetPointError(jx, 0., 0./*f.GetParError(0)*/); |
965 | } | |
966 | printf("\b},\n"); | |
967 | s[il]/=nn; | |
968 | ||
5935a6da | 969 | f.ReleaseParameter(1); |
1ee39b3a | 970 | |
971 | ||
972 | if(!fCanvas) continue; | |
973 | h2->Draw("lego2fb"); | |
974 | fCanvas->Modified(); fCanvas->Update(); | |
975 | if(IsSaveAs()) fCanvas->SaveAs(Form("Figures/ProcessCenter_ly[%d].gif", fLy)); | |
976 | else gSystem->Sleep(100); | |
977 | } | |
978 | printf(" };\n"); | |
979 | printf(" const Float_t lPRF[] = {" | |
980 | "%5.3f, %5.3f, %5.3f, %5.3f, %5.3f, %5.3f};\n", | |
981 | s[0], s[1], s[2], s[3], s[4], s[5]); | |
982 | } | |
983 | ||
984 | //_______________________________________________________ | |
985 | void AliTRDclusterResolution::ProcessSigma() | |
986 | { | |
987 | // As the r-phi coordinate is the only one which is measured by the TRD detector we have to rely on it to | |
988 | // estimate both the radial (x) and r-phi (y) errors. This method is based on the following assumptions. | |
989 | // The measured error in the y direction is the sum of the intrinsic contribution of the r-phi measurement | |
990 | // with the contribution of the radial measurement - because x is not a parameter of Alice track model (Kalman). | |
991 | // BEGIN_LATEX | |
992 | // #sigma^{2}|_{y} = #sigma^{2}_{y*} + #sigma^{2}_{x*} | |
993 | // END_LATEX | |
994 | // In the general case | |
995 | // BEGIN_LATEX | |
996 | // #sigma^{2}_{y*} = #sigma^{2}_{y} + tg^{2}(#alpha_{L})#sigma^{2}_{x_{drift}} | |
997 | // #sigma^{2}_{x*} = tg^{2}(#phi - #alpha_{L})*(#sigma^{2}_{x_{drift}} + #sigma^{2}_{x_{0}} + tg^{2}(#alpha_{L})*x^{2}/12) | |
998 | // END_LATEX | |
999 | // where we have explicitely show the lorentz angle correction on y and the projection of radial component on the y | |
1000 | // direction through the track angle in the bending plane (phi). Also we have shown that the radial component in the | |
1001 | // last equation has twp terms, the drift and the misalignment (x_0). For ideal geometry or known misalignment one | |
1002 | // can solve the equation | |
1003 | // BEGIN_LATEX | |
1004 | // #sigma^{2}|_{y} = tg^{2}(#phi - #alpha_{L})*(#sigma^{2}_{x} + tg^{2}(#alpha_{L})*x^{2}/12)+ [#sigma^{2}_{y} + tg^{2}(#alpha_{L})#sigma^{2}_{x}] | |
1005 | // END_LATEX | |
1006 | // by fitting a straight line: | |
1007 | // BEGIN_LATEX | |
1008 | // #sigma^{2}|_{y} = a(x_{cl}, z_{cl}) * tg^{2}(#phi - #alpha_{L}) + b(x_{cl}, z_{cl}) | |
1009 | // END_LATEX | |
1010 | // the error parameterization will be given by: | |
1011 | // BEGIN_LATEX | |
1012 | // #sigma_{x} (x_{cl}, z_{cl}) = #sqrt{a(x_{cl}, z_{cl}) - tg^{2}(#alpha_{L})*x^{2}/12} | |
1013 | // #sigma_{y} (x_{cl}, z_{cl}) = #sqrt{b(x_{cl}, z_{cl}) - #sigma^{2}_{x} (x_{cl}, z_{cl}) * tg^{2}(#alpha_{L})} | |
1014 | // END_LATEX | |
1015 | // Below there is an example of such dependency. | |
1016 | //Begin_Html | |
1017 | //<img src="TRD/clusterSigmaMethod.gif"> | |
1018 | //End_Html | |
1019 | // | |
1020 | // The error parameterization obtained by this method are implemented in the functions AliTRDcluster::GetSX() and | |
1021 | // AliTRDcluster::GetSYdrift(). For an independent method to determine s_y as a function of drift length check the | |
1022 | // function ProcessCenterPad(). One has to keep in mind that while this method return the mean s_y over the distance | |
1023 | // to pad center distribution the other method returns the *STANDARD* value at center=0 (maximum). To recover the | |
1024 | // standard value one has to solve the obvious equation: | |
1025 | // BEGIN_LATEX | |
1026 | // #sigma_{y}^{STANDARD} = #frac{<#sigma_{y}>}{#int{s exp(s^{2}/#sigma) ds}} | |
1027 | // END_LATEX | |
1028 | // with "<s_y>" being the value calculated here and "sigma" the width of the s_y distribution calculated in | |
1029 | // ProcessCenterPad(). | |
1030 | // | |
1031 | // Author | |
1032 | // Alexandru Bercuci <A.Bercuci@gsi.de> | |
1033 | ||
1034 | TObjArray *arr = (TObjArray*)fContainer->At(kSigm); | |
1035 | if(!arr){ | |
1036 | AliWarning("Missing dy=f(x_d, d_w) container"); | |
1037 | return; | |
1038 | } | |
1039 | ||
1040 | // init visualization | |
4226db3e | 1041 | TGraphErrors *ggs = NULL; |
1042 | TGraph *line = NULL; | |
1ee39b3a | 1043 | if(fCanvas){ |
1044 | ggs = new TGraphErrors(); | |
1045 | line = new TGraph(); | |
1046 | line->SetLineColor(kRed);line->SetLineWidth(2); | |
1047 | } | |
1048 | ||
1049 | // init logistic support | |
1050 | TF1 f("f", "gaus", -.5, .5); | |
1051 | TLinearFitter gs(1,"pol1"); | |
4226db3e | 1052 | TH1 *hFrame=NULL; |
1053 | TH1D *h1 = NULL; TH3S *h3=NULL; | |
1054 | TAxis *ax = NULL; | |
5935a6da | 1055 | Double_t exb2 = fExB*fExB; |
1ee39b3a | 1056 | AliTRDcluster c; |
1057 | TTree *t = (TTree*)fResults->At(kSigm); | |
5935a6da | 1058 | for(Int_t ix=0; ix<AliTRDseedV1::kNtb; ix++){ |
1ee39b3a | 1059 | if(!(h3=(TH3S*)arr->At(ix))) continue; |
1060 | c.SetPadTime(ix); | |
5935a6da | 1061 | fX = c.GetXloc(fT0, fVdrift); |
1062 | fT = c.GetLocalTimeBin(); // ideal | |
1063 | printf(" pad time[%d] local[%f]\n", ix, fT); | |
1ee39b3a | 1064 | for(Int_t iz=1; iz<=h3->GetXaxis()->GetNbins(); iz++){ |
1065 | ax = h3->GetXaxis(); | |
1066 | ax->SetRange(iz, iz); | |
1067 | fZ = ax->GetBinCenter(iz); | |
1068 | ||
1069 | // reset visualization | |
1070 | if(fCanvas){ | |
1071 | new(ggs) TGraphErrors(); | |
1072 | ggs->SetMarkerStyle(7); | |
1073 | } | |
1074 | gs.ClearPoints(); | |
1075 | ||
1076 | for(Int_t ip=1; ip<=h3->GetYaxis()->GetNbins(); ip++){ | |
1077 | ax = h3->GetYaxis(); | |
1078 | ax->SetRange(ip, ip); | |
1079 | Double_t tgl = ax->GetBinCenter(ip); | |
1080 | // finish navigation in the HnSparse | |
1081 | ||
1082 | //if(TMath::Abs(dydx)>0.18) continue; | |
1083 | Double_t tgg = (tgl-fExB)/(1.+tgl*fExB); | |
1084 | Double_t tgg2 = tgg*tgg; | |
1085 | ||
1086 | h1 = (TH1D*)h3->Project3D("z"); | |
1087 | Int_t entries = (Int_t)h1->Integral(); | |
1088 | if(entries < 50) continue; | |
1089 | //Adjust(&f, h1); | |
1090 | h1->Fit(&f, "QN"); | |
1091 | ||
1092 | Double_t s2 = f.GetParameter(2)*f.GetParameter(2); | |
1093 | Double_t s2e = 2.*f.GetParameter(2)*f.GetParError(2); | |
1094 | // Fill sy^2 = f(tg^2(phi-a_L)) | |
1095 | gs.AddPoint(&tgg2, s2, s2e); | |
1096 | ||
1097 | if(!ggs) continue; | |
1098 | Int_t jp = ggs->GetN(); | |
1099 | ggs->SetPoint(jp, tgg2, s2); | |
1100 | ggs->SetPointError(jp, 0., s2e); | |
1101 | } | |
1102 | // TODO here a more robust fit method has to be provided | |
1103 | // for which lower boundaries on the parameters have to | |
1104 | // be imposed. Unfortunately the Minuit fit does not work | |
1105 | // for the TGraph in the case of B not 0. | |
1106 | if(gs.Eval()) continue; | |
1107 | ||
5935a6da | 1108 | fR[0] = gs.GetParameter(1) - fX*fX*exb2/12.; |
1109 | AliDebug(3, Form(" s2x+x2=%f ang=%f s2x=%f", gs.GetParameter(1), fX*fX*exb2/12., fR[0])); | |
1ee39b3a | 1110 | fR[0] = TMath::Max(fR[0], Float_t(4.e-4)); |
1111 | ||
1112 | // s^2_y = s0^2_y + tg^2(a_L) * s^2_x | |
1113 | // s0^2_y = f(D_L)*x + s_PRF^2 | |
1114 | fR[2]= gs.GetParameter(0)-exb2*fR[0]; | |
5935a6da | 1115 | AliDebug(3, Form(" s2y+s2x=%f s2y=%f", fR[0], fR[2])); |
1ee39b3a | 1116 | fR[2] = TMath::Max(fR[2], Float_t(2.5e-5)); |
1117 | fR[0] = TMath::Sqrt(fR[0]); | |
1118 | fR[1] = .5*gs.GetParError(1)/fR[0]; | |
1119 | fR[2] = TMath::Sqrt(fR[2]); | |
1120 | fR[3] = gs.GetParError(0)+exb2*exb2*gs.GetParError(1); | |
1121 | t->Fill(); | |
5935a6da | 1122 | AliDebug(2, Form("xd=%4.2f[cm] sx=%6.1f[um] sy=%5.1f[um]", fX, 1.e4*fR[0], 1.e4*fR[2])); |
1ee39b3a | 1123 | |
1124 | if(!fCanvas) continue; | |
1125 | fCanvas->cd(); fCanvas->SetLogx(); //fCanvas->SetLogy(); | |
1126 | if(!hFrame){ | |
1127 | fCanvas->SetMargin(0.15, 0.01, 0.1, 0.01); | |
1128 | hFrame=new TH1I("hFrame", "", 100, 0., .3); | |
1129 | hFrame->SetMinimum(0.);hFrame->SetMaximum(.005); | |
1130 | hFrame->SetXTitle("tg^{2}(#phi-#alpha_{L})"); | |
1131 | hFrame->SetYTitle("#sigma^{2}y[cm^{2}]"); | |
1132 | hFrame->GetYaxis()->SetTitleOffset(2.); | |
1133 | hFrame->SetLineColor(1);hFrame->SetLineWidth(1); | |
1134 | hFrame->Draw(); | |
1135 | } else hFrame->Reset(); | |
1136 | Double_t xx = 0., dxx=.2/50; | |
1137 | for(Int_t ip=0;ip<50;ip++){ | |
1138 | line->SetPoint(ip, xx, gs.GetParameter(0)+xx*gs.GetParameter(1)); | |
1139 | xx+=dxx; | |
1140 | } | |
1141 | ggs->Draw("pl"); line->Draw("l"); | |
1142 | fCanvas->Modified(); fCanvas->Update(); | |
1143 | if(IsSaveAs()) fCanvas->SaveAs(Form("Figures/ProcessSigma_z[%5.3f]_x[%5.3f].gif", fZ, fX)); | |
1144 | else gSystem->Sleep(100); | |
1145 | } | |
1146 | } | |
1147 | return; | |
1148 | } | |
1149 | ||
1150 | //_______________________________________________________ | |
1151 | void AliTRDclusterResolution::ProcessMean() | |
1152 | { | |
1153 | // By this method the cluster shift in r-phi and radial directions can be estimated by comparing with the MC. | |
1154 | // The resolution of the cluster corrected for pad tilt with respect to MC in the r-phi (measuring) plane can be | |
1155 | // expressed by: | |
1156 | // BEGIN_LATEX | |
1157 | // #Delta y=w - y_{MC}(x_{cl}) | |
1158 | // w = y_{cl}^{'} + h*(z_{MC}(x_{cl})-z_{cl}) | |
1159 | // y_{MC}(x_{cl}) = y_{0} - dy/dx*x_{cl} | |
1160 | // z_{MC}(x_{cl}) = z_{0} - dz/dx*x_{cl} | |
1161 | // y_{cl}^{'} = y_{cl}-x_{cl}*tg(#alpha_{L}) | |
1162 | // END_LATEX | |
1163 | // where x_cl is the drift length attached to a cluster, y_cl is the r-phi coordinate of the cluster measured by | |
1164 | // charge sharing on adjacent pads and y_0 and z_0 are MC reference points (as example the track references at | |
1165 | // entrance/exit of a chamber). If we suppose that both r-phi (y) and radial (x) coordinate of the clusters are | |
1166 | // affected by errors we can write | |
1167 | // BEGIN_LATEX | |
1168 | // x_{cl} = x_{cl}^{*} + #delta x | |
1169 | // y_{cl} = y_{cl}^{*} + #delta y | |
1170 | // END_LATEX | |
1171 | // where the starred components are the corrected values. Thus by definition the following quantity | |
1172 | // BEGIN_LATEX | |
1173 | // #Delta y^{*}= w^{*} - y_{MC}(x_{cl}^{*}) | |
1174 | // END_LATEX | |
1175 | // has 0 average over all dependency. Using this decomposition we can write: | |
1176 | // BEGIN_LATEX | |
1177 | // <#Delta y>=<#Delta y^{*}> + <#delta x * (dy/dx-h*dz/dx) + #delta y - #delta x * tg(#alpha_{L})> | |
1178 | // END_LATEX | |
1179 | // which can be transformed to the following linear dependence: | |
1180 | // BEGIN_LATEX | |
1181 | // <#Delta y>= <#delta x> * (dy/dx-h*dz/dx) + <#delta y - #delta x * tg(#alpha_{L})> | |
1182 | // END_LATEX | |
1183 | // if expressed as function of dy/dx-h*dz/dx. Furtheremore this expression can be plotted for various clusters | |
1184 | // i.e. we can explicitely introduce the diffusion (x_cl) and drift cell - anisochronity (z_cl) dependences. From | |
1185 | // plotting this dependence and linear fitting it with: | |
1186 | // BEGIN_LATEX | |
1187 | // <#Delta y>= a(x_{cl}, z_{cl}) * (dy/dx-h*dz/dx) + b(x_{cl}, z_{cl}) | |
1188 | // END_LATEX | |
1189 | // the systematic shifts will be given by: | |
1190 | // BEGIN_LATEX | |
1191 | // #delta x (x_{cl}, z_{cl}) = a(x_{cl}, z_{cl}) | |
1192 | // #delta y (x_{cl}, z_{cl}) = b(x_{cl}, z_{cl}) + a(x_{cl}, z_{cl}) * tg(#alpha_{L}) | |
1193 | // END_LATEX | |
1194 | // Below there is an example of such dependency. | |
1195 | //Begin_Html | |
1196 | //<img src="TRD/clusterShiftMethod.gif"> | |
1197 | //End_Html | |
1198 | // | |
1199 | // The occurance of the radial shift is due to the following conditions | |
1200 | // - the approximation of a constant drift velocity over the drift length (larger drift velocities close to | |
1201 | // cathode wire plane) | |
1202 | // - the superposition of charge tails in the amplification region (first clusters appear to be located at the | |
1203 | // anode wire) | |
1204 | // - the superposition of charge tails in the drift region (shift towards anode wire) | |
1205 | // - diffusion effects which convolute with the TRF thus enlarging it | |
1206 | // - approximate knowledge of the TRF (approximate measuring in test beam conditions) | |
1207 | // | |
1208 | // The occurance of the r-phi shift is due to the following conditions | |
1209 | // - approximate model for cluster shape (LUT) | |
1210 | // - rounding-up problems | |
1211 | // | |
1212 | // The numerical results for ideal simulations for the radial and r-phi shifts are displayed below and used | |
1213 | // for the cluster reconstruction (see the functions AliTRDcluster::GetXcorr() and AliTRDcluster::GetYcorr()). | |
1214 | //Begin_Html | |
1215 | //<img src="TRD/clusterShiftX.gif"> | |
1216 | //<img src="TRD/clusterShiftY.gif"> | |
1217 | //End_Html | |
1218 | // More details can be found in the presentation given during the TRD | |
1219 | // software meeting at the end of 2008 and beginning of year 2009, published on indico.cern.ch. | |
1220 | // | |
1221 | // Author | |
1222 | // Alexandru Bercuci <A.Bercuci@gsi.de> | |
1223 | ||
1224 | ||
1225 | ||
1226 | TObjArray *arr = (TObjArray*)fContainer->At(kMean); | |
1227 | if(!arr){ | |
1228 | AliWarning("Missing dy=f(x_d, d_w) container"); | |
1229 | return; | |
1230 | } | |
1231 | ||
1232 | // init logistic support | |
1233 | TF1 f("f", "gaus", -.5, .5); | |
1234 | TF1 line("l", "[0]+[1]*x", -.15, .15); | |
1235 | TGraphErrors *gm = new TGraphErrors(); | |
4226db3e | 1236 | TH1 *hFrame=NULL; |
1237 | TH1D *h1 = NULL; TH3S *h3 =NULL; | |
1238 | TAxis *ax = NULL; | |
5935a6da | 1239 | |
1240 | AliDebug(1, Form("Calibrate for Det[%3d] t0[%5.3f] vd[%5.3f]", fDet, fT0, fVdrift)); | |
1ee39b3a | 1241 | |
1242 | AliTRDcluster c; | |
1243 | TTree *t = (TTree*)fResults->At(kMean); | |
5935a6da | 1244 | for(Int_t ix=0; ix<AliTRDseedV1::kNtb; ix++){ |
1ee39b3a | 1245 | if(!(h3=(TH3S*)arr->At(ix))) continue; |
1246 | c.SetPadTime(ix); | |
5935a6da | 1247 | fX = c.GetXloc(fT0, fVdrift); |
1248 | fT = c.GetLocalTimeBin(); | |
1ee39b3a | 1249 | for(Int_t iz=1; iz<=h3->GetXaxis()->GetNbins(); iz++){ |
1250 | ax = h3->GetXaxis(); | |
1251 | ax->SetRange(iz, iz); | |
1252 | fZ = ax->GetBinCenter(iz); | |
1253 | ||
1254 | // reset fitter | |
1255 | new(gm) TGraphErrors(); | |
1256 | gm->SetMarkerStyle(7); | |
1257 | ||
1258 | for(Int_t ip=1; ip<=h3->GetYaxis()->GetNbins(); ip++){ | |
1259 | ax = h3->GetYaxis(); | |
1260 | ax->SetRange(ip, ip); | |
1261 | Double_t tgl = ax->GetBinCenter(ip); | |
1262 | // finish navigation in the HnSparse | |
1263 | ||
1264 | h1 = (TH1D*)h3->Project3D("z"); | |
1265 | Int_t entries = (Int_t)h1->Integral(); | |
b9ddd472 | 1266 | if(entries < 50) continue; |
1ee39b3a | 1267 | //Adjust(&f, h1); |
1268 | h1->Fit(&f, "QN"); | |
1269 | ||
1270 | // Fill <Dy> = f(dydx - h*dzdx) | |
1271 | Int_t jp = gm->GetN(); | |
1272 | gm->SetPoint(jp, tgl, f.GetParameter(1)); | |
1273 | gm->SetPointError(jp, 0., f.GetParError(1)); | |
1274 | } | |
5935a6da | 1275 | if(gm->GetN()<10) continue; |
1ee39b3a | 1276 | |
1277 | gm->Fit(&line, "QN"); | |
1278 | fR[0] = line.GetParameter(1); // dx | |
1279 | fR[1] = line.GetParError(1); | |
1280 | fR[2] = line.GetParameter(0) + fExB*fR[0]; // xs = dy - tg(a_L)*dx | |
1281 | t->Fill(); | |
5935a6da | 1282 | AliDebug(2, Form("tb[%02d] xd=%4.2f[cm] dx=%6.2f[um] dy=%6.2f[um]", ix, fX, 1.e4*fR[0], 1.e4*fR[2])); |
1ee39b3a | 1283 | if(!fCanvas) continue; |
5935a6da | 1284 | |
1ee39b3a | 1285 | fCanvas->cd(); |
1286 | if(!hFrame){ | |
1287 | fCanvas->SetMargin(0.1, 0.02, 0.1, 0.01); | |
1288 | hFrame=new TH1I("hFrame", "", 100, -.3, .3); | |
1289 | hFrame->SetMinimum(-.1);hFrame->SetMaximum(.1); | |
1290 | hFrame->SetXTitle("tg#phi-htg#theta"); | |
1291 | hFrame->SetYTitle("#Delta y[cm]"); | |
1292 | hFrame->GetYaxis()->SetTitleOffset(1.5); | |
1293 | hFrame->SetLineColor(1);hFrame->SetLineWidth(1); | |
1294 | hFrame->Draw(); | |
1295 | } else hFrame->Reset(); | |
1296 | gm->Draw("pl"); line.Draw("same"); | |
1297 | fCanvas->Modified(); fCanvas->Update(); | |
5935a6da | 1298 | if(IsSaveAs()) fCanvas->SaveAs(Form("Figures/ProcessMean_Z[%5.3f]_TB[%02d].gif", fZ, ix)); |
1ee39b3a | 1299 | else gSystem->Sleep(100); |
1300 | } | |
1301 | } | |
1302 | } |