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12ca5da1 | 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 | ||
17 | /////////////////////////////////////////////////////////////////////////////// | |
18 | // // | |
dcf3a564 | 19 | // TPC cluster error, shape and charge parameterization as function |
20 | // of drift length, and inclination angle // | |
21 | // | |
22 | // Following notation is used in following | |
23 | // Int_t dim 0 - y direction | |
24 | // 1 - z direction | |
25 | // | |
26 | // Int_t type 0 - short pads | |
27 | // 1 - medium pads | |
28 | // 2 - long pads | |
29 | // Float_t z - drift length | |
30 | // | |
d028aade | 31 | // Float_t angle - tangent of inclination angle at given dimension |
dcf3a564 | 32 | // |
33 | // Implemented parameterization | |
34 | // | |
35 | // | |
36 | // 1. Resolution as function of drift length and inclination angle | |
37 | // 1.a) GetError0(Int_t dim, Int_t type, Float_t z, Float_t angle) | |
38 | // Simple error parameterization as derived from analytical formula | |
39 | // only linear term in drift length and angle^2 | |
40 | // The formula is valid only with precission +-5% | |
41 | // Separate parameterization for differnt pad geometry | |
42 | // 1.b) GetError0Par | |
43 | // Parabolic term correction - better precision | |
44 | // | |
45 | // 1.c) GetError1 - JUST FOR Study | |
46 | // Similar to GetError1 | |
47 | // The angular and diffusion effect is scaling with pad length | |
48 | // common parameterization for different pad length | |
49 | // | |
96305e49 | 50 | // 2. Error parameterization using charge |
51 | // 2.a) GetErrorQ | |
52 | // GetError0+ | |
53 | // adding 1/Q component to diffusion and angluar part | |
54 | // 2.b) GetErrorQPar | |
55 | // GetError0Par+ | |
56 | // adding 1/Q component to diffusion and angluar part | |
57 | // 2.c) GetErrorQParScaled - Just for study | |
58 | // One parameterization for all pad shapes | |
59 | // Smaller precission as previous one | |
dcf3a564 | 60 | // |
96305e49 | 61 | // |
d028aade | 62 | // Example how to retrieve the paramterization: |
63 | /* | |
162637e4 | 64 | AliCDBManager::Instance()->SetDefaultStorage("local://$ALICE_ROOT/OCDB"); |
236a0d03 | 65 | AliCDBManager::Instance()->SetRun(0) |
d028aade | 66 | AliTPCClusterParam * param = AliTPCcalibDB::Instance()->GetClusterParam(); |
67 | ||
68 | // | |
69 | // | |
70 | AliTPCClusterParam::SetInstance(param); | |
71 | TF1 f1("f1","AliTPCClusterParam::SGetError0Par(1,0,x,0)",0,250); | |
d028aade | 72 | */ |
236a0d03 | 73 | |
74 | // EXAMPLE hot to create parameterization | |
75 | /* | |
76 | // Note resol is the resolution tree created by AliTPCcalibTracks | |
77 | // | |
78 | AliTPCClusterParam *param = new AliTPCClusterParam; | |
79 | param->FitData(Resol); | |
80 | AliTPCClusterParam::SetInstance(param); | |
81 | ||
82 | */ | |
83 | ||
96305e49 | 84 | // |
d028aade | 85 | // // |
12ca5da1 | 86 | /////////////////////////////////////////////////////////////////////////////// |
87 | #include "AliTPCClusterParam.h" | |
88 | #include "TMath.h" | |
89 | #include "TFile.h" | |
90 | #include "TTree.h" | |
91 | #include <TVectorF.h> | |
92 | #include <TLinearFitter.h> | |
93 | #include <TH1F.h> | |
8a92e133 | 94 | #include <TH3F.h> |
12ca5da1 | 95 | #include <TProfile2D.h> |
0a65832b | 96 | #include <TVectorD.h> |
97 | #include <TObjArray.h> | |
db2fdcfb | 98 | #include "AliTPCcalibDB.h" |
6194ddbd | 99 | #include "AliTPCParam.h" |
12ca5da1 | 100 | |
bb7e41dd | 101 | #include "AliMathBase.h" |
102 | ||
12ca5da1 | 103 | ClassImp(AliTPCClusterParam) |
104 | ||
105 | ||
106 | AliTPCClusterParam* AliTPCClusterParam::fgInstance = 0; | |
107 | ||
108 | ||
109 | /* | |
110 | Example usage fitting parameterization: | |
111 | TFile fres("resol.root"); //tree with resolution and shape | |
112 | TTree * treeRes =(TTree*)fres.Get("Resol"); | |
113 | ||
114 | AliTPCClusterParam param; | |
115 | param.SetInstance(¶m); | |
116 | param.FitResol(treeRes); | |
117 | param.FitRMS(treeRes); | |
118 | TFile fparam("TPCClusterParam.root","recreate"); | |
119 | param.Write("Param"); | |
120 | // | |
121 | // | |
122 | TFile fparam("TPCClusterParam.root"); | |
123 | AliTPCClusterParam *param2 = (AliTPCClusterParam *) fparam.Get("Param"); | |
124 | param2->SetInstance(param2); | |
125 | param2->Test(treeRes); | |
126 | ||
127 | ||
128 | treeRes->Draw("(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol","Dim==0&&QMean<0") | |
129 | ||
130 | */ | |
131 | ||
132 | ||
133 | ||
134 | ||
135 | //_ singleton implementation __________________________________________________ | |
136 | AliTPCClusterParam* AliTPCClusterParam::Instance() | |
137 | { | |
138 | // | |
139 | // Singleton implementation | |
140 | // Returns an instance of this class, it is created if neccessary | |
141 | // | |
142 | if (fgInstance == 0){ | |
143 | fgInstance = new AliTPCClusterParam(); | |
144 | } | |
145 | return fgInstance; | |
146 | } | |
147 | ||
148 | ||
f1c2a4a3 | 149 | AliTPCClusterParam::AliTPCClusterParam(): |
150 | TObject(), | |
38caa778 | 151 | fRatio(0), |
b17540e4 | 152 | fQNorm(0), |
8a92e133 | 153 | fQNormCorr(0), |
154 | fQNormHis(0), | |
b17540e4 | 155 | fQpadTnorm(0), // q pad normalization - Total charge |
156 | fQpadMnorm(0) // q pad normalization - Max charge | |
157 | // | |
f1c2a4a3 | 158 | { |
159 | // | |
160 | // Default constructor | |
161 | // | |
b17540e4 | 162 | fPosQTnorm[0] = 0; fPosQTnorm[1] = 0; fPosQTnorm[2] = 0; |
163 | fPosQMnorm[0] = 0; fPosQMnorm[1] = 0; fPosQMnorm[2] = 0; | |
2e5bcb67 | 164 | // |
165 | fPosYcor[0] = 0; fPosYcor[1] = 0; fPosYcor[2] = 0; | |
166 | fPosZcor[0] = 0; fPosZcor[1] = 0; fPosZcor[2] = 0; | |
75b27bdb | 167 | fErrorRMSSys[0]=0; fErrorRMSSys[1]=0; |
f1c2a4a3 | 168 | } |
38caa778 | 169 | |
170 | AliTPCClusterParam::AliTPCClusterParam(const AliTPCClusterParam& param): | |
171 | TObject(param), | |
172 | fRatio(0), | |
b17540e4 | 173 | fQNorm(0), |
8a92e133 | 174 | fQNormCorr(0), |
175 | fQNormHis(0), | |
b17540e4 | 176 | fQpadTnorm(new TVectorD(*(param.fQpadTnorm))), // q pad normalization - Total charge |
177 | fQpadMnorm(new TVectorD(*(param.fQpadMnorm))) // q pad normalization - Max charge | |
178 | ||
38caa778 | 179 | { |
180 | // | |
181 | // copy constructor | |
182 | // | |
183 | memcpy(this, ¶m,sizeof(AliTPCClusterParam)); | |
184 | if (param.fQNorm) fQNorm = (TObjArray*) param.fQNorm->Clone(); | |
8a92e133 | 185 | if (param.fQNormHis) fQNormHis = (TObjArray*) param.fQNormHis->Clone(); |
b17540e4 | 186 | // |
187 | if (param.fPosQTnorm[0]){ | |
188 | fPosQTnorm[0] = new TVectorD(*(param.fPosQTnorm[0])); | |
189 | fPosQTnorm[1] = new TVectorD(*(param.fPosQTnorm[1])); | |
190 | fPosQTnorm[2] = new TVectorD(*(param.fPosQTnorm[2])); | |
191 | // | |
192 | fPosQMnorm[0] = new TVectorD(*(param.fPosQMnorm[0])); | |
193 | fPosQMnorm[1] = new TVectorD(*(param.fPosQMnorm[1])); | |
194 | fPosQMnorm[2] = new TVectorD(*(param.fPosQMnorm[2])); | |
195 | } | |
2e5bcb67 | 196 | if (param.fPosYcor[0]){ |
197 | fPosYcor[0] = new TVectorD(*(param.fPosYcor[0])); | |
198 | fPosYcor[1] = new TVectorD(*(param.fPosYcor[1])); | |
199 | fPosYcor[2] = new TVectorD(*(param.fPosYcor[2])); | |
200 | // | |
201 | fPosZcor[0] = new TVectorD(*(param.fPosZcor[0])); | |
202 | fPosZcor[1] = new TVectorD(*(param.fPosZcor[1])); | |
203 | fPosZcor[2] = new TVectorD(*(param.fPosZcor[2])); | |
204 | } | |
205 | ||
38caa778 | 206 | } |
207 | ||
b17540e4 | 208 | |
38caa778 | 209 | AliTPCClusterParam & AliTPCClusterParam::operator=(const AliTPCClusterParam& param){ |
210 | // | |
211 | // Assignment operator | |
212 | // | |
213 | if (this != ¶m) { | |
214 | memcpy(this, ¶m,sizeof(AliTPCClusterParam)); | |
215 | if (param.fQNorm) fQNorm = (TObjArray*) param.fQNorm->Clone(); | |
8a92e133 | 216 | if (param.fQNormHis) fQNormHis = (TObjArray*) param.fQNormHis->Clone(); |
b17540e4 | 217 | if (param.fPosQTnorm[0]){ |
218 | fPosQTnorm[0] = new TVectorD(*(param.fPosQTnorm[0])); | |
219 | fPosQTnorm[1] = new TVectorD(*(param.fPosQTnorm[1])); | |
220 | fPosQTnorm[2] = new TVectorD(*(param.fPosQTnorm[2])); | |
221 | // | |
222 | fPosQMnorm[0] = new TVectorD(*(param.fPosQMnorm[0])); | |
223 | fPosQMnorm[1] = new TVectorD(*(param.fPosQMnorm[1])); | |
224 | fPosQMnorm[2] = new TVectorD(*(param.fPosQMnorm[2])); | |
225 | } | |
2e5bcb67 | 226 | if (param.fPosYcor[0]){ |
227 | fPosYcor[0] = new TVectorD(*(param.fPosYcor[0])); | |
228 | fPosYcor[1] = new TVectorD(*(param.fPosYcor[1])); | |
229 | fPosYcor[2] = new TVectorD(*(param.fPosYcor[2])); | |
230 | // | |
231 | fPosZcor[0] = new TVectorD(*(param.fPosZcor[0])); | |
232 | fPosZcor[1] = new TVectorD(*(param.fPosZcor[1])); | |
233 | fPosZcor[2] = new TVectorD(*(param.fPosZcor[2])); | |
234 | } | |
38caa778 | 235 | } |
236 | return *this; | |
237 | } | |
238 | ||
239 | ||
f1c2a4a3 | 240 | AliTPCClusterParam::~AliTPCClusterParam(){ |
241 | // | |
242 | // destructor | |
243 | // | |
244 | if (fQNorm) fQNorm->Delete(); | |
8a92e133 | 245 | if (fQNormCorr) delete fQNormCorr; |
246 | if (fQNormHis) fQNormHis->Delete(); | |
f1c2a4a3 | 247 | delete fQNorm; |
8a92e133 | 248 | delete fQNormHis; |
b17540e4 | 249 | if (fPosQTnorm[0]){ |
250 | delete fPosQTnorm[0]; | |
251 | delete fPosQTnorm[1]; | |
252 | delete fPosQTnorm[2]; | |
253 | // | |
254 | delete fPosQMnorm[0]; | |
255 | delete fPosQMnorm[1]; | |
256 | delete fPosQMnorm[2]; | |
257 | } | |
2e5bcb67 | 258 | if (fPosYcor[0]){ |
259 | delete fPosYcor[0]; | |
260 | delete fPosYcor[1]; | |
261 | delete fPosYcor[2]; | |
262 | // | |
263 | delete fPosZcor[0]; | |
264 | delete fPosZcor[1]; | |
265 | delete fPosZcor[2]; | |
266 | } | |
f1c2a4a3 | 267 | } |
12ca5da1 | 268 | |
269 | ||
270 | void AliTPCClusterParam::FitResol0(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
271 | // | |
272 | // Fit z - angular dependence of resolution | |
273 | // | |
274 | // Int_t dim=0, type=0; | |
3c1b9459 | 275 | TString varVal; |
276 | varVal="Resol:AngleM:Zm"; | |
277 | TString varErr; | |
278 | varErr="Sigma:AngleS:Zs"; | |
279 | TString varCut; | |
280 | varCut=Form("Dim==%d&&Pad==%d&&QMean<0",dim,type); | |
281 | // | |
282 | Int_t entries = tree->Draw(varVal.Data(),varCut); | |
12ca5da1 | 283 | Float_t px[10000], py[10000], pz[10000]; |
284 | Float_t ex[10000], ey[10000], ez[10000]; | |
285 | // | |
3c1b9459 | 286 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 287 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
288 | ex[ipoint]= tree->GetV3()[ipoint]; | |
289 | ey[ipoint]= tree->GetV2()[ipoint]; | |
290 | ez[ipoint]= tree->GetV1()[ipoint]; | |
291 | } | |
3c1b9459 | 292 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 293 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
294 | px[ipoint]= tree->GetV3()[ipoint]; | |
295 | py[ipoint]= tree->GetV2()[ipoint]; | |
296 | pz[ipoint]= tree->GetV1()[ipoint]; | |
297 | } | |
298 | ||
299 | // | |
300 | TLinearFitter fitter(3,"hyp2"); | |
301 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
302 | Float_t val = pz[ipoint]*pz[ipoint]; | |
303 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
304 | Double_t x[2]; | |
305 | x[0] = px[ipoint]; | |
306 | x[1] = py[ipoint]*py[ipoint]; | |
307 | fitter.AddPoint(x,val,err); | |
308 | } | |
309 | fitter.Eval(); | |
310 | TVectorD param(3); | |
311 | fitter.GetParameters(param); | |
312 | param0[0] = param[0]; | |
313 | param0[1] = param[1]; | |
314 | param0[2] = param[2]; | |
315 | Float_t chi2 = fitter.GetChisquare()/entries; | |
316 | param0[3] = chi2; | |
317 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
318 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
319 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
320 | } | |
321 | ||
322 | ||
323 | void AliTPCClusterParam::FitResol0Par(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
324 | // | |
325 | // Fit z - angular dependence of resolution | |
326 | // | |
327 | // Int_t dim=0, type=0; | |
3c1b9459 | 328 | TString varVal; |
329 | varVal="Resol:AngleM:Zm"; | |
330 | TString varErr; | |
331 | varErr="Sigma:AngleS:Zs"; | |
332 | TString varCut; | |
333 | varCut=Form("Dim==%d&&Pad==%d&&QMean<0",dim,type); | |
334 | // | |
335 | Int_t entries = tree->Draw(varVal.Data(),varCut); | |
12ca5da1 | 336 | Float_t px[10000], py[10000], pz[10000]; |
337 | Float_t ex[10000], ey[10000], ez[10000]; | |
338 | // | |
3c1b9459 | 339 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 340 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
341 | ex[ipoint]= tree->GetV3()[ipoint]; | |
342 | ey[ipoint]= tree->GetV2()[ipoint]; | |
343 | ez[ipoint]= tree->GetV1()[ipoint]; | |
344 | } | |
3c1b9459 | 345 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 346 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
347 | px[ipoint]= tree->GetV3()[ipoint]; | |
348 | py[ipoint]= tree->GetV2()[ipoint]; | |
349 | pz[ipoint]= tree->GetV1()[ipoint]; | |
350 | } | |
351 | ||
352 | // | |
353 | TLinearFitter fitter(6,"hyp5"); | |
354 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
355 | Float_t val = pz[ipoint]*pz[ipoint]; | |
356 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
357 | Double_t x[6]; | |
358 | x[0] = px[ipoint]; | |
359 | x[1] = py[ipoint]*py[ipoint]; | |
360 | x[2] = x[0]*x[0]; | |
361 | x[3] = x[1]*x[1]; | |
362 | x[4] = x[0]*x[1]; | |
363 | fitter.AddPoint(x,val,err); | |
364 | } | |
365 | fitter.Eval(); | |
366 | TVectorD param(6); | |
367 | fitter.GetParameters(param); | |
368 | param0[0] = param[0]; | |
369 | param0[1] = param[1]; | |
370 | param0[2] = param[2]; | |
371 | param0[3] = param[3]; | |
372 | param0[4] = param[4]; | |
373 | param0[5] = param[5]; | |
374 | Float_t chi2 = fitter.GetChisquare()/entries; | |
375 | param0[6] = chi2; | |
376 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
377 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
378 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
379 | error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2)); | |
380 | error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2)); | |
381 | error[5] = (fitter.GetParError(5)*TMath::Sqrt(chi2)); | |
382 | } | |
383 | ||
384 | ||
385 | ||
386 | ||
387 | ||
388 | void AliTPCClusterParam::FitResol1(TTree * tree, Int_t dim, Float_t *param0, Float_t *error){ | |
389 | // | |
390 | // Fit z - angular dependence of resolution - pad length scaling | |
391 | // | |
392 | // Int_t dim=0, type=0; | |
3c1b9459 | 393 | TString varVal; |
394 | varVal="Resol:AngleM*sqrt(Length):Zm/Length"; | |
395 | TString varErr; | |
396 | varErr="Sigma:AngleS:Zs"; | |
397 | TString varCut; | |
398 | varCut=Form("Dim==%d&&QMean<0",dim); | |
399 | // | |
400 | Int_t entries = tree->Draw(varVal.Data(),varCut); | |
12ca5da1 | 401 | Float_t px[10000], py[10000], pz[10000]; |
402 | Float_t ex[10000], ey[10000], ez[10000]; | |
403 | // | |
3c1b9459 | 404 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 405 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
406 | ex[ipoint]= tree->GetV3()[ipoint]; | |
407 | ey[ipoint]= tree->GetV2()[ipoint]; | |
408 | ez[ipoint]= tree->GetV1()[ipoint]; | |
409 | } | |
3c1b9459 | 410 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 411 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
412 | px[ipoint]= tree->GetV3()[ipoint]; | |
413 | py[ipoint]= tree->GetV2()[ipoint]; | |
414 | pz[ipoint]= tree->GetV1()[ipoint]; | |
415 | } | |
416 | ||
417 | // | |
418 | TLinearFitter fitter(3,"hyp2"); | |
419 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
420 | Float_t val = pz[ipoint]*pz[ipoint]; | |
421 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
422 | Double_t x[2]; | |
423 | x[0] = px[ipoint]; | |
424 | x[1] = py[ipoint]*py[ipoint]; | |
425 | fitter.AddPoint(x,val,err); | |
426 | } | |
427 | fitter.Eval(); | |
428 | TVectorD param(3); | |
429 | fitter.GetParameters(param); | |
430 | param0[0] = param[0]; | |
431 | param0[1] = param[1]; | |
432 | param0[2] = param[2]; | |
433 | Float_t chi2 = fitter.GetChisquare()/entries; | |
434 | param0[3] = chi2; | |
435 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
436 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
437 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
438 | } | |
439 | ||
440 | void AliTPCClusterParam::FitResolQ(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
441 | // | |
442 | // Fit z - angular dependence of resolution - Q scaling | |
443 | // | |
444 | // Int_t dim=0, type=0; | |
3c1b9459 | 445 | TString varVal; |
446 | varVal="Resol:AngleM/sqrt(QMean):Zm/QMean"; | |
12ca5da1 | 447 | char varVal0[100]; |
4aa37f93 | 448 | snprintf(varVal0,100,"Resol:AngleM:Zm"); |
12ca5da1 | 449 | // |
3c1b9459 | 450 | TString varErr; |
451 | varErr="Sigma:AngleS:Zs"; | |
452 | TString varCut; | |
453 | varCut=Form("Dim==%d&&Pad==%d&&QMean>0",dim,type); | |
12ca5da1 | 454 | // |
3c1b9459 | 455 | Int_t entries = tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 456 | Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000]; |
457 | Float_t ex[20000], ey[20000], ez[20000]; | |
458 | // | |
3c1b9459 | 459 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 460 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
461 | ex[ipoint]= tree->GetV3()[ipoint]; | |
462 | ey[ipoint]= tree->GetV2()[ipoint]; | |
463 | ez[ipoint]= tree->GetV1()[ipoint]; | |
464 | } | |
3c1b9459 | 465 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 466 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
467 | px[ipoint]= tree->GetV3()[ipoint]; | |
468 | py[ipoint]= tree->GetV2()[ipoint]; | |
469 | pz[ipoint]= tree->GetV1()[ipoint]; | |
470 | } | |
471 | tree->Draw(varVal0,varCut); | |
472 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
473 | pu[ipoint]= tree->GetV3()[ipoint]; | |
474 | pt[ipoint]= tree->GetV2()[ipoint]; | |
475 | } | |
476 | ||
477 | // | |
478 | TLinearFitter fitter(5,"hyp4"); | |
479 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
480 | Float_t val = pz[ipoint]*pz[ipoint]; | |
481 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
482 | Double_t x[4]; | |
483 | x[0] = pu[ipoint]; | |
484 | x[1] = pt[ipoint]*pt[ipoint]; | |
485 | x[2] = px[ipoint]; | |
486 | x[3] = py[ipoint]*py[ipoint]; | |
487 | fitter.AddPoint(x,val,err); | |
488 | } | |
489 | ||
490 | fitter.Eval(); | |
491 | TVectorD param(5); | |
492 | fitter.GetParameters(param); | |
493 | param0[0] = param[0]; | |
494 | param0[1] = param[1]; | |
495 | param0[2] = param[2]; | |
496 | param0[3] = param[3]; | |
497 | param0[4] = param[4]; | |
498 | Float_t chi2 = fitter.GetChisquare()/entries; | |
499 | param0[5] = chi2; | |
500 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
501 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
502 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
503 | error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2)); | |
504 | error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2)); | |
505 | } | |
506 | ||
507 | void AliTPCClusterParam::FitResolQPar(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
508 | // | |
509 | // Fit z - angular dependence of resolution - Q scaling - parabolic correction | |
510 | // | |
511 | // Int_t dim=0, type=0; | |
3c1b9459 | 512 | TString varVal; |
513 | varVal="Resol:AngleM/sqrt(QMean):Zm/QMean"; | |
12ca5da1 | 514 | char varVal0[100]; |
4aa37f93 | 515 | snprintf(varVal0,100,"Resol:AngleM:Zm"); |
12ca5da1 | 516 | // |
3c1b9459 | 517 | TString varErr; |
518 | varErr="Sigma:AngleS:Zs"; | |
519 | TString varCut; | |
520 | varCut=Form("Dim==%d&&Pad==%d&&QMean>0",dim,type); | |
12ca5da1 | 521 | // |
3c1b9459 | 522 | Int_t entries = tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 523 | Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000]; |
524 | Float_t ex[20000], ey[20000], ez[20000]; | |
525 | // | |
3c1b9459 | 526 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 527 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
528 | ex[ipoint]= tree->GetV3()[ipoint]; | |
529 | ey[ipoint]= tree->GetV2()[ipoint]; | |
530 | ez[ipoint]= tree->GetV1()[ipoint]; | |
531 | } | |
3c1b9459 | 532 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 533 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
534 | px[ipoint]= tree->GetV3()[ipoint]; | |
535 | py[ipoint]= tree->GetV2()[ipoint]; | |
536 | pz[ipoint]= tree->GetV1()[ipoint]; | |
537 | } | |
538 | tree->Draw(varVal0,varCut); | |
539 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
540 | pu[ipoint]= tree->GetV3()[ipoint]; | |
541 | pt[ipoint]= tree->GetV2()[ipoint]; | |
542 | } | |
543 | ||
544 | // | |
545 | TLinearFitter fitter(8,"hyp7"); | |
546 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
547 | Float_t val = pz[ipoint]*pz[ipoint]; | |
548 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
549 | Double_t x[7]; | |
550 | x[0] = pu[ipoint]; | |
551 | x[1] = pt[ipoint]*pt[ipoint]; | |
552 | x[2] = x[0]*x[0]; | |
553 | x[3] = x[1]*x[1]; | |
554 | x[4] = x[0]*x[1]; | |
555 | x[5] = px[ipoint]; | |
556 | x[6] = py[ipoint]*py[ipoint]; | |
557 | // | |
558 | fitter.AddPoint(x,val,err); | |
559 | } | |
560 | ||
561 | fitter.Eval(); | |
562 | TVectorD param(8); | |
563 | fitter.GetParameters(param); | |
564 | param0[0] = param[0]; | |
565 | param0[1] = param[1]; | |
566 | param0[2] = param[2]; | |
567 | param0[3] = param[3]; | |
568 | param0[4] = param[4]; | |
569 | param0[5] = param[5]; | |
570 | param0[6] = param[6]; | |
571 | param0[7] = param[7]; | |
572 | ||
573 | Float_t chi2 = fitter.GetChisquare()/entries; | |
574 | param0[8] = chi2; | |
575 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
576 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
577 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
578 | error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2)); | |
579 | error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2)); | |
580 | error[5] = (fitter.GetParError(5)*TMath::Sqrt(chi2)); | |
581 | error[6] = (fitter.GetParError(6)*TMath::Sqrt(chi2)); | |
582 | error[7] = (fitter.GetParError(7)*TMath::Sqrt(chi2)); | |
583 | } | |
584 | ||
585 | ||
586 | ||
587 | void AliTPCClusterParam::FitRMS0(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
588 | // | |
589 | // Fit z - angular dependence of resolution | |
590 | // | |
591 | // Int_t dim=0, type=0; | |
3c1b9459 | 592 | TString varVal; |
593 | varVal="RMSm:AngleM:Zm"; | |
594 | TString varErr; | |
595 | varErr="sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Zs"; | |
596 | TString varCut; | |
597 | varCut=Form("Dim==%d&&Pad==%d&&QMean<0",dim,type); | |
598 | // | |
599 | Int_t entries = tree->Draw(varVal.Data(),varCut); | |
12ca5da1 | 600 | Float_t px[10000], py[10000], pz[10000]; |
601 | Float_t ex[10000], ey[10000], ez[10000]; | |
602 | // | |
3c1b9459 | 603 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 604 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
605 | ex[ipoint]= tree->GetV3()[ipoint]; | |
606 | ey[ipoint]= tree->GetV2()[ipoint]; | |
607 | ez[ipoint]= tree->GetV1()[ipoint]; | |
608 | } | |
3c1b9459 | 609 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 610 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
611 | px[ipoint]= tree->GetV3()[ipoint]; | |
612 | py[ipoint]= tree->GetV2()[ipoint]; | |
613 | pz[ipoint]= tree->GetV1()[ipoint]; | |
614 | } | |
615 | ||
616 | // | |
617 | TLinearFitter fitter(3,"hyp2"); | |
618 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
619 | Float_t val = pz[ipoint]*pz[ipoint]; | |
620 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
621 | Double_t x[2]; | |
622 | x[0] = px[ipoint]; | |
623 | x[1] = py[ipoint]*py[ipoint]; | |
624 | fitter.AddPoint(x,val,err); | |
625 | } | |
626 | fitter.Eval(); | |
627 | TVectorD param(3); | |
628 | fitter.GetParameters(param); | |
629 | param0[0] = param[0]; | |
630 | param0[1] = param[1]; | |
631 | param0[2] = param[2]; | |
632 | Float_t chi2 = fitter.GetChisquare()/entries; | |
633 | param0[3] = chi2; | |
634 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
635 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
636 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
637 | } | |
638 | ||
639 | void AliTPCClusterParam::FitRMS1(TTree * tree, Int_t dim, Float_t *param0, Float_t *error){ | |
640 | // | |
641 | // Fit z - angular dependence of resolution - pad length scaling | |
642 | // | |
643 | // Int_t dim=0, type=0; | |
3c1b9459 | 644 | TString varVal; |
645 | varVal="RMSm:AngleM*Length:Zm"; | |
646 | TString varErr; | |
647 | varErr="sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Pad"; | |
648 | TString varCut; | |
649 | varCut=Form("Dim==%d&&QMean<0",dim); | |
650 | // | |
651 | Int_t entries = tree->Draw(varVal.Data(),varCut); | |
12ca5da1 | 652 | Float_t px[10000], py[10000], pz[10000]; |
653 | Float_t type[10000], ey[10000], ez[10000]; | |
654 | // | |
3c1b9459 | 655 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 656 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
657 | type[ipoint] = tree->GetV3()[ipoint]; | |
658 | ey[ipoint] = tree->GetV2()[ipoint]; | |
659 | ez[ipoint] = tree->GetV1()[ipoint]; | |
660 | } | |
3c1b9459 | 661 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 662 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
663 | px[ipoint]= tree->GetV3()[ipoint]; | |
664 | py[ipoint]= tree->GetV2()[ipoint]; | |
665 | pz[ipoint]= tree->GetV1()[ipoint]; | |
666 | } | |
667 | ||
668 | // | |
669 | TLinearFitter fitter(4,"hyp3"); | |
670 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
671 | Float_t val = pz[ipoint]*pz[ipoint]; | |
672 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
673 | Double_t x[3]; | |
674 | x[0] = (type[ipoint]<0.5)? 0.:1.; | |
675 | x[1] = px[ipoint]; | |
676 | x[2] = py[ipoint]*py[ipoint]; | |
677 | fitter.AddPoint(x,val,err); | |
678 | } | |
679 | fitter.Eval(); | |
680 | TVectorD param(4); | |
681 | fitter.GetParameters(param); | |
682 | param0[0] = param[0]; | |
683 | param0[1] = param[0]+param[1]; | |
684 | param0[2] = param[2]; | |
685 | param0[3] = param[3]; | |
686 | Float_t chi2 = fitter.GetChisquare()/entries; | |
687 | param0[4] = chi2; | |
688 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
689 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
690 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
691 | error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2)); | |
692 | } | |
693 | ||
694 | void AliTPCClusterParam::FitRMSQ(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){ | |
695 | // | |
696 | // Fit z - angular dependence of resolution - Q scaling | |
697 | // | |
698 | // Int_t dim=0, type=0; | |
3c1b9459 | 699 | TString varVal; |
700 | varVal="RMSm:AngleM/sqrt(QMean):Zm/QMean"; | |
12ca5da1 | 701 | char varVal0[100]; |
4aa37f93 | 702 | snprintf(varVal0,100,"RMSm:AngleM:Zm"); |
12ca5da1 | 703 | // |
3c1b9459 | 704 | TString varErr; |
705 | varErr="sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Zs"; | |
706 | TString varCut; | |
707 | varCut=Form("Dim==%d&&Pad==%d&&QMean>0",dim,type); | |
12ca5da1 | 708 | // |
3c1b9459 | 709 | Int_t entries = tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 710 | Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000]; |
711 | Float_t ex[20000], ey[20000], ez[20000]; | |
712 | // | |
3c1b9459 | 713 | tree->Draw(varErr.Data(),varCut); |
12ca5da1 | 714 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
715 | ex[ipoint]= tree->GetV3()[ipoint]; | |
716 | ey[ipoint]= tree->GetV2()[ipoint]; | |
717 | ez[ipoint]= tree->GetV1()[ipoint]; | |
718 | } | |
3c1b9459 | 719 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 720 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
721 | px[ipoint]= tree->GetV3()[ipoint]; | |
722 | py[ipoint]= tree->GetV2()[ipoint]; | |
723 | pz[ipoint]= tree->GetV1()[ipoint]; | |
724 | } | |
725 | tree->Draw(varVal0,varCut); | |
726 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
727 | pu[ipoint]= tree->GetV3()[ipoint]; | |
728 | pt[ipoint]= tree->GetV2()[ipoint]; | |
729 | } | |
730 | ||
731 | // | |
732 | TLinearFitter fitter(5,"hyp4"); | |
733 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
734 | Float_t val = pz[ipoint]*pz[ipoint]; | |
735 | Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]); | |
736 | Double_t x[4]; | |
737 | x[0] = pu[ipoint]; | |
738 | x[1] = pt[ipoint]*pt[ipoint]; | |
739 | x[2] = px[ipoint]; | |
740 | x[3] = py[ipoint]*py[ipoint]; | |
741 | fitter.AddPoint(x,val,err); | |
742 | } | |
743 | ||
744 | fitter.Eval(); | |
745 | TVectorD param(5); | |
746 | fitter.GetParameters(param); | |
747 | param0[0] = param[0]; | |
748 | param0[1] = param[1]; | |
749 | param0[2] = param[2]; | |
750 | param0[3] = param[3]; | |
751 | param0[4] = param[4]; | |
752 | Float_t chi2 = fitter.GetChisquare()/entries; | |
753 | param0[5] = chi2; | |
754 | error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2)); | |
755 | error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2)); | |
756 | error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2)); | |
757 | error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2)); | |
758 | error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2)); | |
759 | } | |
760 | ||
761 | ||
762 | void AliTPCClusterParam::FitRMSSigma(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t */*error*/){ | |
763 | // | |
764 | // Fit z - angular dependence of resolution - Q scaling | |
765 | // | |
766 | // Int_t dim=0, type=0; | |
3c1b9459 | 767 | TString varVal; |
768 | varVal="RMSs:RMSm"; | |
12ca5da1 | 769 | // |
3c1b9459 | 770 | TString varCut; |
771 | varCut=Form("Dim==%d&&Pad==%d&&QMean<0",dim,type); | |
12ca5da1 | 772 | // |
3c1b9459 | 773 | Int_t entries = tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 774 | Float_t px[20000], py[20000]; |
775 | // | |
3c1b9459 | 776 | tree->Draw(varVal.Data(),varCut); |
12ca5da1 | 777 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ |
778 | px[ipoint]= tree->GetV2()[ipoint]; | |
779 | py[ipoint]= tree->GetV1()[ipoint]; | |
780 | } | |
781 | TLinearFitter fitter(2,"pol1"); | |
782 | for (Int_t ipoint=0; ipoint<entries; ipoint++){ | |
783 | Float_t val = py[ipoint]; | |
784 | Float_t err = fRatio*px[ipoint]; | |
785 | Double_t x[4]; | |
786 | x[0] = px[ipoint]; | |
236a0d03 | 787 | if (err>0) fitter.AddPoint(x,val,err); |
12ca5da1 | 788 | } |
789 | fitter.Eval(); | |
790 | param0[0]= fitter.GetParameter(0); | |
791 | param0[1]= fitter.GetParameter(1); | |
792 | } | |
793 | ||
794 | ||
795 | ||
798017c7 | 796 | Float_t AliTPCClusterParam::GetError0(Int_t dim, Int_t type, Float_t z, Float_t angle) const { |
12ca5da1 | 797 | // |
798 | // | |
799 | // | |
800 | Float_t value=0; | |
801 | value += fParamS0[dim][type][0]; | |
802 | value += fParamS0[dim][type][1]*z; | |
803 | value += fParamS0[dim][type][2]*angle*angle; | |
804 | value = TMath::Sqrt(TMath::Abs(value)); | |
805 | return value; | |
806 | } | |
807 | ||
808 | ||
798017c7 | 809 | Float_t AliTPCClusterParam::GetError0Par(Int_t dim, Int_t type, Float_t z, Float_t angle) const { |
12ca5da1 | 810 | // |
811 | // | |
812 | // | |
813 | Float_t value=0; | |
814 | value += fParamS0Par[dim][type][0]; | |
815 | value += fParamS0Par[dim][type][1]*z; | |
816 | value += fParamS0Par[dim][type][2]*angle*angle; | |
817 | value += fParamS0Par[dim][type][3]*z*z; | |
818 | value += fParamS0Par[dim][type][4]*angle*angle*angle*angle; | |
819 | value += fParamS0Par[dim][type][5]*z*angle*angle; | |
820 | value = TMath::Sqrt(TMath::Abs(value)); | |
821 | return value; | |
822 | } | |
823 | ||
824 | ||
825 | ||
798017c7 | 826 | Float_t AliTPCClusterParam::GetError1(Int_t dim, Int_t type, Float_t z, Float_t angle) const { |
12ca5da1 | 827 | // |
828 | // | |
829 | // | |
830 | Float_t value=0; | |
831 | Float_t length=0.75; | |
832 | if (type==1) length=1; | |
833 | if (type==2) length=1.5; | |
834 | value += fParamS1[dim][0]; | |
835 | value += fParamS1[dim][1]*z/length; | |
836 | value += fParamS1[dim][2]*angle*angle*length; | |
837 | value = TMath::Sqrt(TMath::Abs(value)); | |
838 | return value; | |
839 | } | |
840 | ||
798017c7 | 841 | Float_t AliTPCClusterParam::GetErrorQ(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean) const { |
12ca5da1 | 842 | // |
843 | // | |
844 | // | |
845 | Float_t value=0; | |
846 | value += fParamSQ[dim][type][0]; | |
847 | value += fParamSQ[dim][type][1]*z; | |
848 | value += fParamSQ[dim][type][2]*angle*angle; | |
849 | value += fParamSQ[dim][type][3]*z/Qmean; | |
850 | value += fParamSQ[dim][type][4]*angle*angle/Qmean; | |
851 | value = TMath::Sqrt(TMath::Abs(value)); | |
852 | return value; | |
853 | ||
854 | ||
855 | } | |
856 | ||
798017c7 | 857 | Float_t AliTPCClusterParam::GetErrorQPar(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean) const { |
12ca5da1 | 858 | // |
859 | // | |
860 | // | |
861 | Float_t value=0; | |
862 | value += fParamSQPar[dim][type][0]; | |
863 | value += fParamSQPar[dim][type][1]*z; | |
864 | value += fParamSQPar[dim][type][2]*angle*angle; | |
865 | value += fParamSQPar[dim][type][3]*z*z; | |
866 | value += fParamSQPar[dim][type][4]*angle*angle*angle*angle; | |
867 | value += fParamSQPar[dim][type][5]*z*angle*angle; | |
868 | value += fParamSQPar[dim][type][6]*z/Qmean; | |
869 | value += fParamSQPar[dim][type][7]*angle*angle/Qmean; | |
870 | value = TMath::Sqrt(TMath::Abs(value)); | |
871 | return value; | |
872 | ||
873 | ||
874 | } | |
875 | ||
798017c7 | 876 | Float_t AliTPCClusterParam::GetErrorQParScaled(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean) const { |
12ca5da1 | 877 | // |
878 | // | |
879 | // | |
880 | Float_t value=0; | |
881 | value += fParamSQPar[dim][type][0]; | |
882 | value += fParamSQPar[dim][type][1]*z; | |
883 | value += fParamSQPar[dim][type][2]*angle*angle; | |
884 | value += fParamSQPar[dim][type][3]*z*z; | |
885 | value += fParamSQPar[dim][type][4]*angle*angle*angle*angle; | |
886 | value += fParamSQPar[dim][type][5]*z*angle*angle; | |
887 | value += fParamSQPar[dim][type][6]*z/Qmean; | |
888 | value += fParamSQPar[dim][type][7]*angle*angle/Qmean; | |
889 | Float_t valueMean = GetError0Par(dim,type,z,angle); | |
890 | value -= 0.35*0.35*valueMean*valueMean; | |
891 | value = TMath::Sqrt(TMath::Abs(value)); | |
892 | return value; | |
893 | ||
894 | ||
895 | } | |
896 | ||
798017c7 | 897 | Float_t AliTPCClusterParam::GetRMS0(Int_t dim, Int_t type, Float_t z, Float_t angle) const { |
12ca5da1 | 898 | // |
899 | // calculate mean RMS of cluster - z,angle - parameters for each pad and dimension separatelly | |
900 | // | |
901 | Float_t value=0; | |
902 | value += fParamRMS0[dim][type][0]; | |
903 | value += fParamRMS0[dim][type][1]*z; | |
904 | value += fParamRMS0[dim][type][2]*angle*angle; | |
905 | value = TMath::Sqrt(TMath::Abs(value)); | |
906 | return value; | |
907 | } | |
908 | ||
798017c7 | 909 | Float_t AliTPCClusterParam::GetRMS1(Int_t dim, Int_t type, Float_t z, Float_t angle) const { |
12ca5da1 | 910 | // |
911 | // calculate mean RMS of cluster - z,angle - pad length scalling | |
912 | // | |
913 | Float_t value=0; | |
914 | Float_t length=0.75; | |
915 | if (type==1) length=1; | |
916 | if (type==2) length=1.5; | |
917 | if (type==0){ | |
918 | value += fParamRMS1[dim][0]; | |
919 | }else{ | |
920 | value += fParamRMS1[dim][1]; | |
921 | } | |
922 | value += fParamRMS1[dim][2]*z; | |
923 | value += fParamRMS1[dim][3]*angle*angle*length*length; | |
924 | value = TMath::Sqrt(TMath::Abs(value)); | |
925 | return value; | |
926 | } | |
927 | ||
798017c7 | 928 | Float_t AliTPCClusterParam::GetRMSQ(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean) const { |
12ca5da1 | 929 | // |
930 | // calculate mean RMS of cluster - z,angle, Q dependence | |
931 | // | |
932 | Float_t value=0; | |
933 | value += fParamRMSQ[dim][type][0]; | |
934 | value += fParamRMSQ[dim][type][1]*z; | |
935 | value += fParamRMSQ[dim][type][2]*angle*angle; | |
936 | value += fParamRMSQ[dim][type][3]*z/Qmean; | |
937 | value += fParamRMSQ[dim][type][4]*angle*angle/Qmean; | |
938 | value = TMath::Sqrt(TMath::Abs(value)); | |
939 | return value; | |
940 | } | |
941 | ||
798017c7 | 942 | Float_t AliTPCClusterParam::GetRMSSigma(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean) const { |
12ca5da1 | 943 | // |
944 | // calculates RMS of signal shape fluctuation | |
945 | // | |
946 | Float_t mean = GetRMSQ(dim,type,z,angle,Qmean); | |
947 | Float_t value = fRMSSigmaFit[dim][type][0]; | |
948 | value+= fRMSSigmaFit[dim][type][1]*mean; | |
949 | return value; | |
950 | } | |
951 | ||
798017c7 | 952 | Float_t AliTPCClusterParam::GetShapeFactor(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean, Float_t rmsL, Float_t rmsM) const { |
12ca5da1 | 953 | // |
954 | // calculates vallue - sigma distortion contribution | |
955 | // | |
956 | Double_t value =0; | |
957 | // | |
958 | Float_t rmsMeanQ = GetRMSQ(dim,type,z,angle,Qmean); | |
959 | if (rmsL<rmsMeanQ) return value; | |
960 | // | |
961 | Float_t rmsSigma = GetRMSSigma(dim,type,z,angle,Qmean); | |
962 | // | |
963 | if ((rmsM-rmsMeanQ)>2.0*(rmsSigma+fErrorRMSSys[dim])){ | |
964 | //1.5 sigma cut on mean | |
965 | value+= rmsL*rmsL+2*rmsM*rmsM-3*rmsMeanQ*rmsMeanQ; | |
966 | }else{ | |
967 | if ((rmsL-rmsMeanQ)>3.*(rmsSigma+fErrorRMSSys[dim])){ | |
968 | //3 sigma cut on local | |
969 | value+= rmsL*rmsL-rmsMeanQ*rmsMeanQ; | |
970 | } | |
971 | } | |
8076baa0 | 972 | return TMath::Sqrt(TMath::Abs(value)); |
12ca5da1 | 973 | } |
974 | ||
975 | ||
976 | ||
977 | void AliTPCClusterParam::FitData(TTree * tree){ | |
978 | // | |
979 | // make fits for error param and shape param | |
980 | // | |
981 | FitResol(tree); | |
982 | FitRMS(tree); | |
983 | ||
984 | } | |
985 | ||
986 | void AliTPCClusterParam::FitResol(TTree * tree){ | |
987 | // | |
988 | SetInstance(this); | |
989 | for (Int_t idir=0;idir<2; idir++){ | |
990 | for (Int_t itype=0; itype<3; itype++){ | |
991 | Float_t param0[10]; | |
992 | Float_t error0[10]; | |
993 | // model error param | |
994 | FitResol0(tree, idir, itype,param0,error0); | |
995 | printf("\nResol\t%d\t%d\tchi2=%f\n",idir,itype,param0[3]); | |
996 | printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]); | |
997 | printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]); | |
998 | for (Int_t ipar=0;ipar<4; ipar++){ | |
999 | fParamS0[idir][itype][ipar] = param0[ipar]; | |
1000 | fErrorS0[idir][itype][ipar] = param0[ipar]; | |
1001 | } | |
1002 | // error param with parabolic correction | |
1003 | FitResol0Par(tree, idir, itype,param0,error0); | |
1004 | printf("\nResolPar\t%d\t%d\tchi2=%f\n",idir,itype,param0[6]); | |
1005 | printf("%f\t%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4],param0[5]); | |
1006 | printf("%f\t%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4],error0[5]); | |
1007 | for (Int_t ipar=0;ipar<7; ipar++){ | |
1008 | fParamS0Par[idir][itype][ipar] = param0[ipar]; | |
1009 | fErrorS0Par[idir][itype][ipar] = param0[ipar]; | |
1010 | } | |
1011 | // | |
1012 | FitResolQ(tree, idir, itype,param0,error0); | |
1013 | printf("\nResolQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[5]); | |
1014 | printf("%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4]); | |
1015 | printf("%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4]); | |
1016 | for (Int_t ipar=0;ipar<6; ipar++){ | |
1017 | fParamSQ[idir][itype][ipar] = param0[ipar]; | |
1018 | fErrorSQ[idir][itype][ipar] = param0[ipar]; | |
1019 | } | |
1020 | // | |
1021 | FitResolQPar(tree, idir, itype,param0,error0); | |
1022 | printf("\nResolQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[8]); | |
1023 | printf("%f\t%f\t%f\t%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4],param0[5],param0[6],param0[7]); | |
1024 | printf("%f\t%f\t%f\t%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4],error0[5],error0[6],error0[7]); | |
1025 | for (Int_t ipar=0;ipar<9; ipar++){ | |
1026 | fParamSQPar[idir][itype][ipar] = param0[ipar]; | |
1027 | fErrorSQPar[idir][itype][ipar] = param0[ipar]; | |
1028 | } | |
1029 | } | |
1030 | } | |
1031 | // | |
1032 | printf("Resol z-scaled\n"); | |
1033 | for (Int_t idir=0;idir<2; idir++){ | |
1034 | Float_t param0[4]; | |
1035 | Float_t error0[4]; | |
1036 | FitResol1(tree, idir,param0,error0); | |
1037 | printf("\nResol\t%d\tchi2=%f\n",idir,param0[3]); | |
1038 | printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]); | |
1039 | printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]); | |
1040 | for (Int_t ipar=0;ipar<4; ipar++){ | |
1041 | fParamS1[idir][ipar] = param0[ipar]; | |
1042 | fErrorS1[idir][ipar] = param0[ipar]; | |
1043 | } | |
1044 | } | |
1045 | ||
1046 | for (Int_t idir=0;idir<2; idir++){ | |
1047 | printf("\nDirection %d\n",idir); | |
1048 | printf("%d\t%f\t%f\t%f\n", -1,fParamS1[idir][0],fParamS1[idir][1],fParamS1[idir][2]); | |
1049 | for (Int_t itype=0; itype<3; itype++){ | |
1050 | Float_t length=0.75; | |
1051 | if (itype==1) length=1; | |
1052 | if (itype==2) length=1.5; | |
1053 | printf("%d\t%f\t%f\t%f\n", itype,fParamS0[idir][itype][0],fParamS0[idir][itype][1]*TMath::Sqrt(length),fParamS0[idir][itype][2]/TMath::Sqrt(length)); | |
1054 | } | |
1055 | } | |
1056 | } | |
1057 | ||
1058 | ||
1059 | ||
1060 | void AliTPCClusterParam::FitRMS(TTree * tree){ | |
1061 | // | |
1062 | SetInstance(this); | |
1063 | for (Int_t idir=0;idir<2; idir++){ | |
1064 | for (Int_t itype=0; itype<3; itype++){ | |
1065 | Float_t param0[6]; | |
1066 | Float_t error0[6]; | |
1067 | FitRMS0(tree, idir, itype,param0,error0); | |
1068 | printf("\nRMS\t%d\t%d\tchi2=%f\n",idir,itype,param0[3]); | |
1069 | printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]); | |
1070 | printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]); | |
1071 | for (Int_t ipar=0;ipar<4; ipar++){ | |
1072 | fParamRMS0[idir][itype][ipar] = param0[ipar]; | |
1073 | fErrorRMS0[idir][itype][ipar] = param0[ipar]; | |
1074 | } | |
1075 | FitRMSQ(tree, idir, itype,param0,error0); | |
1076 | printf("\nRMSQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[5]); | |
1077 | printf("%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4]); | |
1078 | printf("%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4]); | |
1079 | for (Int_t ipar=0;ipar<6; ipar++){ | |
1080 | fParamRMSQ[idir][itype][ipar] = param0[ipar]; | |
1081 | fErrorRMSQ[idir][itype][ipar] = param0[ipar]; | |
1082 | } | |
1083 | } | |
1084 | } | |
1085 | // | |
1086 | printf("RMS z-scaled\n"); | |
1087 | for (Int_t idir=0;idir<2; idir++){ | |
1088 | Float_t param0[5]; | |
1089 | Float_t error0[5]; | |
1090 | FitRMS1(tree, idir,param0,error0); | |
1091 | printf("\nRMS\t%d\tchi2=%f\n",idir,param0[4]); | |
1092 | printf("%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2], param0[3]); | |
1093 | printf("%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2], error0[3]); | |
1094 | for (Int_t ipar=0;ipar<5; ipar++){ | |
1095 | fParamRMS1[idir][ipar] = param0[ipar]; | |
1096 | fErrorRMS1[idir][ipar] = param0[ipar]; | |
1097 | } | |
1098 | } | |
1099 | ||
1100 | for (Int_t idir=0;idir<2; idir++){ | |
1101 | printf("\nDirection %d\n",idir); | |
1102 | printf("%d\t%f\t%f\t%f\t%f\n", -1,fParamRMS1[idir][0],fParamRMS1[idir][1],fParamRMS1[idir][2], fParamRMS1[idir][3]); | |
1103 | for (Int_t itype=0; itype<3; itype++){ | |
1104 | Float_t length=0.75; | |
1105 | if (itype==1) length=1; | |
1106 | if (itype==2) length=1.5; | |
1107 | if (itype==0) printf("%d\t%f\t\t\t%f\t%f\n", itype,fParamRMS0[idir][itype][0],fParamRMS0[idir][itype][1],fParamRMS0[idir][itype][2]/length); | |
1108 | if (itype>0) printf("%d\t\t\t%f\t%f\t%f\n", itype,fParamRMS0[idir][itype][0],fParamRMS0[idir][itype][1],fParamRMS0[idir][itype][2]/length); | |
1109 | } | |
1110 | } | |
1111 | // | |
1112 | // Fit RMS sigma | |
1113 | // | |
1114 | printf("RMS fluctuation parameterization \n"); | |
1115 | for (Int_t idir=0;idir<2; idir++){ | |
1116 | for (Int_t itype=0; itype<3; itype++){ | |
1117 | Float_t param0[5]; | |
1118 | Float_t error0[5]; | |
1119 | FitRMSSigma(tree, idir,itype,param0,error0); | |
1120 | printf("\t%d\t%d\t%f\t%f\n", idir, itype, param0[0],param0[1]); | |
1121 | for (Int_t ipar=0;ipar<2; ipar++){ | |
1122 | fRMSSigmaFit[idir][itype][ipar] = param0[ipar]; | |
1123 | } | |
1124 | } | |
1125 | } | |
1126 | // | |
1127 | // store systematic error end RMS fluctuation parameterization | |
1128 | // | |
1129 | TH1F hratio("hratio","hratio",100,-0.1,0.1); | |
1130 | tree->Draw("(RMSm-AliTPCClusterParam::SGetRMSQ(Dim,Pad,Zm,AngleM,QMean))/RMSm>>hratio","Dim==0&&QMean>0"); | |
1131 | fErrorRMSSys[0] = hratio.GetRMS(); | |
1132 | tree->Draw("(RMSm-AliTPCClusterParam::SGetRMSQ(Dim,Pad,Zm,AngleM,QMean))/RMSm>>hratio","Dim==1&&QMean>0"); | |
1133 | fErrorRMSSys[1] = hratio.GetRMS(); | |
1134 | TH1F hratioR("hratioR","hratioR",100,0,0.2); | |
1135 | tree->Draw("RMSs/RMSm>>hratioR","Dim==0&&QMean>0"); | |
1136 | fRMSSigmaRatio[0][0]=hratioR.GetMean(); | |
1137 | fRMSSigmaRatio[0][1]=hratioR.GetRMS(); | |
1138 | tree->Draw("RMSs/RMSm>>hratioR","Dim==1&&QMean>0"); | |
1139 | fRMSSigmaRatio[1][0]=hratioR.GetMean(); | |
1140 | fRMSSigmaRatio[1][1]=hratioR.GetRMS(); | |
1141 | } | |
1142 | ||
1143 | void AliTPCClusterParam::Test(TTree * tree, const char *output){ | |
1144 | // | |
1145 | // Draw standard quality histograms to output file | |
1146 | // | |
1147 | SetInstance(this); | |
1148 | TFile f(output,"recreate"); | |
1149 | f.cd(); | |
1150 | // | |
1151 | // 1D histograms - resolution | |
1152 | // | |
1153 | for (Int_t idim=0; idim<2; idim++){ | |
1154 | for (Int_t ipad=0; ipad<3; ipad++){ | |
1155 | char hname1[300]; | |
1156 | char hcut1[300]; | |
1157 | char hexp1[300]; | |
1158 | // | |
4aa37f93 | 1159 | snprintf(hname1,300,"Delta0 Dir %d Pad %d",idim,ipad); |
1160 | snprintf(hcut1,300,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad); | |
1161 | snprintf(hexp1,300,"(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol>>%s",hname1); | |
12ca5da1 | 1162 | TH1F his1DRel0(hname1, hname1, 100,-0.2, 0.2); |
75b27bdb | 1163 | snprintf(hname1,300,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad); |
12ca5da1 | 1164 | tree->Draw(hexp1,hcut1,""); |
1165 | his1DRel0.Write(); | |
1166 | // | |
4aa37f93 | 1167 | snprintf(hname1,300,"Delta0Par Dir %d Pad %d",idim,ipad); |
1168 | snprintf(hcut1,300,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad); | |
1169 | snprintf(hexp1,300,"(Resol-AliTPCClusterParam::SGetError0Par(Dim,Pad,Zm,AngleM))/Resol>>%s",hname1); | |
12ca5da1 | 1170 | TH1F his1DRel0Par(hname1, hname1, 100,-0.2, 0.2); |
4aa37f93 | 1171 | snprintf(hname1,300,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad); |
12ca5da1 | 1172 | tree->Draw(hexp1,hcut1,""); |
1173 | his1DRel0Par.Write(); | |
1174 | // | |
1175 | } | |
1176 | } | |
1177 | // | |
1178 | // 2D histograms - resolution | |
1179 | // | |
1180 | for (Int_t idim=0; idim<2; idim++){ | |
1181 | for (Int_t ipad=0; ipad<3; ipad++){ | |
1182 | char hname1[300]; | |
1183 | char hcut1[300]; | |
1184 | char hexp1[300]; | |
1185 | // | |
4aa37f93 | 1186 | snprintf(hname1,300,"2DDelta0 Dir %d Pad %d",idim,ipad); |
1187 | snprintf(hcut1,300,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad); | |
1188 | snprintf(hexp1,300,"(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol:AngleM:Zm>>%s",hname1); | |
12ca5da1 | 1189 | TProfile2D profDRel0(hname1, hname1, 6,0,250,6,0,1); |
4aa37f93 | 1190 | snprintf(hname1,300,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad); |
12ca5da1 | 1191 | tree->Draw(hexp1,hcut1,""); |
1192 | profDRel0.Write(); | |
1193 | // | |
4aa37f93 | 1194 | snprintf(hname1,300,"2DDelta0Par Dir %d Pad %d",idim,ipad); |
1195 | snprintf(hcut1,300,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad); | |
1196 | snprintf(hexp1,300,"(Resol-AliTPCClusterParam::SGetError0Par(Dim,Pad,Zm,AngleM))/Resol:AngleM:Zm>>%s",hname1); | |
12ca5da1 | 1197 | TProfile2D profDRel0Par(hname1, hname1,6,0,250,6,0,1); |
4aa37f93 | 1198 | snprintf(hname1,300,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad); |
12ca5da1 | 1199 | tree->Draw(hexp1,hcut1,""); |
1200 | profDRel0Par.Write(); | |
1201 | // | |
1202 | } | |
1203 | } | |
1204 | } | |
1205 | ||
1206 | ||
1207 | ||
1208 | void AliTPCClusterParam::Print(Option_t* /*option*/) const{ | |
1209 | // | |
1210 | // Print param Information | |
1211 | // | |
1212 | ||
1213 | // | |
1214 | // Error parameterization | |
1215 | // | |
1216 | printf("\nResolution Scaled factors\n"); | |
1217 | printf("Dir\tPad\tP0\t\tP1\t\tP2\t\tchi2\n"); | |
8076baa0 | 1218 | printf("Y\tall\t%f\t%f\t%f\t%f\n", TMath::Sqrt(TMath::Abs(fParamS1[0][0])),TMath::Sqrt(TMath::Abs(fParamS1[0][1])), |
1219 | TMath::Sqrt(TMath::Abs(fParamS1[0][2])),TMath::Sqrt(TMath::Abs(fParamS1[0][3]))); | |
12ca5da1 | 1220 | for (Int_t ipad=0; ipad<3; ipad++){ |
1221 | Float_t length=0.75; | |
1222 | if (ipad==1) length=1; | |
1223 | if (ipad==2) length=1.5; | |
1224 | printf("\t%d\t%f\t%f\t%f\t%f\n", ipad, | |
1225 | TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][0])), | |
8076baa0 | 1226 | TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][1]*length)), |
1227 | TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][2]/length)), | |
1228 | TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][3]))); | |
12ca5da1 | 1229 | } |
1230 | for (Int_t ipad=0; ipad<3; ipad++){ | |
1231 | Float_t length=0.75; | |
1232 | if (ipad==1) length=1; | |
1233 | if (ipad==2) length=1.5; | |
1234 | printf("\t%dPar\t%f\t%f\t%f\t%f\n", ipad, | |
1235 | TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][0])), | |
8076baa0 | 1236 | TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][1]*length)), |
1237 | TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][2]/length)), | |
1238 | TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][6]))); | |
12ca5da1 | 1239 | } |
1240 | printf("Z\tall\t%f\t%f\t%f\t%f\n", TMath::Sqrt(TMath::Abs(fParamS1[1][0])),TMath::Sqrt(fParamS1[1][1]), | |
1241 | TMath::Sqrt(fParamS1[1][2]), TMath::Sqrt(fParamS1[1][3])); | |
1242 | ||
1243 | for (Int_t ipad=0; ipad<3; ipad++){ | |
1244 | Float_t length=0.75; | |
1245 | if (ipad==1) length=1; | |
1246 | if (ipad==2) length=1.5; | |
1247 | printf("\t%d\t%f\t%f\t%f\t%f\n", ipad, | |
1248 | TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][0])), | |
8076baa0 | 1249 | TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][1]*length)), |
1250 | TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][2]/length)), | |
1251 | TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][3]))); | |
12ca5da1 | 1252 | } |
1253 | for (Int_t ipad=0; ipad<3; ipad++){ | |
1254 | Float_t length=0.75; | |
1255 | if (ipad==1) length=1; | |
1256 | if (ipad==2) length=1.5; | |
1257 | printf("\t%dPar\t%f\t%f\t%f\t%f\n", ipad, | |
8076baa0 | 1258 | TMath::Sqrt(TMath::Abs(TMath::Abs(fParamS0Par[1][ipad][0]))), |
1259 | TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][1]*length)), | |
1260 | TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][2]/length)), | |
1261 | TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][6]))); | |
12ca5da1 | 1262 | } |
1263 | ||
1264 | // | |
1265 | // RMS scaling | |
1266 | // | |
1267 | printf("\n"); | |
1268 | printf("\nRMS Scaled factors\n"); | |
1269 | printf("Dir\tPad\tP00\t\tP01\t\tP1\t\tP2\t\tchi2\n"); | |
8076baa0 | 1270 | printf("Y\tall\t%f\t%f\t%f\t%f\t%f\n", |
1271 | TMath::Sqrt(TMath::Abs(fParamRMS1[0][0])), | |
1272 | TMath::Sqrt(TMath::Abs(fParamRMS1[0][1])), | |
1273 | TMath::Sqrt(TMath::Abs(fParamRMS1[0][2])), | |
1274 | TMath::Sqrt(TMath::Abs(fParamRMS1[0][3])), | |
1275 | TMath::Sqrt(TMath::Abs(fParamRMS1[0][4]))); | |
12ca5da1 | 1276 | for (Int_t ipad=0; ipad<3; ipad++){ |
1277 | Float_t length=0.75; | |
1278 | if (ipad==1) length=1; | |
1279 | if (ipad==2) length=1.5; | |
1280 | if (ipad==0){ | |
1281 | printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad, | |
1282 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][0])), | |
1283 | 0., | |
8076baa0 | 1284 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][1])), |
1285 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][2]/(length*length))), | |
1286 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][3]))); | |
12ca5da1 | 1287 | }else{ |
1288 | printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad, | |
1289 | 0., | |
1290 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][0])), | |
8076baa0 | 1291 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][1])), |
1292 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][2]/(length*length))), | |
1293 | TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][3]))); | |
12ca5da1 | 1294 | } |
1295 | } | |
1296 | printf("\n"); | |
8076baa0 | 1297 | printf("Z\tall\t%f\t%f\t%f\t%f\t%f\n", |
1298 | TMath::Sqrt(TMath::Abs(fParamRMS1[1][0])), | |
1299 | TMath::Sqrt(TMath::Abs(fParamRMS1[1][1])), | |
1300 | TMath::Sqrt(TMath::Abs(fParamRMS1[1][2])), | |
1301 | TMath::Sqrt(TMath::Abs(fParamRMS1[1][3])), | |
1302 | TMath::Sqrt(TMath::Abs(fParamRMS1[1][4]))); | |
12ca5da1 | 1303 | for (Int_t ipad=0; ipad<3; ipad++){ |
1304 | Float_t length=0.75; | |
1305 | if (ipad==1) length=1; | |
1306 | if (ipad==2) length=1.5; | |
1307 | if (ipad==0){ | |
1308 | printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad, | |
1309 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][0])), | |
1310 | 0., | |
8076baa0 | 1311 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][1])), |
1312 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][2]/(length*length))), | |
1313 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][3]))); | |
12ca5da1 | 1314 | }else{ |
1315 | printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad, | |
1316 | 0., | |
1317 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][0])), | |
8076baa0 | 1318 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][1])), |
1319 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][2]/(length*length))), | |
1320 | TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][3]))); | |
12ca5da1 | 1321 | } |
1322 | } | |
1323 | } | |
1324 | ||
1325 | ||
1326 | ||
1327 | ||
1328 | ||
0a65832b | 1329 | Float_t AliTPCClusterParam::Qnorm(Int_t ipad, Int_t itype, Float_t dr, Float_t ty, Float_t tz){ |
1330 | // get Q normalization | |
1331 | // type - 0 Qtot 1 Qmax | |
1332 | // ipad - 0 (0.75 cm) ,1 (1 cm), 2 (1.5 cm) | |
1333 | // | |
8a92e133 | 1334 | //expession formula - TString *strq0 = toolkit.FitPlane(chain,"dedxQ.fElements[2]","dr++ty++tz++dr*ty++dr*tz++++dr*dr++ty*tz++ty^2++tz^2","IPad==0",chi2,npoints,param,covar,0,100000); |
f1afff3b | 1335 | |
f1c2a4a3 | 1336 | if (fQNorm==0) return 0; |
0a65832b | 1337 | TVectorD * norm = (TVectorD*)fQNorm->At(3*itype+ipad); |
1338 | if (!norm) return 0; | |
f1afff3b | 1339 | TVectorD &no = *norm; |
684602c8 | 1340 | Float_t res = |
1341 | no[0]+ | |
f1afff3b | 1342 | no[1]*dr+ |
1343 | no[2]*ty+ | |
1344 | no[3]*tz+ | |
1345 | no[4]*dr*ty+ | |
1346 | no[5]*dr*tz+ | |
1347 | no[6]*ty*tz+ | |
1348 | no[7]*dr*dr+ | |
1349 | no[8]*ty*ty+ | |
1350 | no[9]*tz*tz; | |
1351 | res/=no[0]; | |
0a65832b | 1352 | return res; |
1353 | } | |
1354 | ||
1355 | ||
1356 | ||
8a92e133 | 1357 | Float_t AliTPCClusterParam::QnormHis(Int_t ipad, Int_t itype, Float_t dr, Float_t p2, Float_t p3){ |
1358 | // get Q normalization | |
1359 | // type - 0 Qtot 1 Qmax | |
1360 | // ipad - 0 (0.75 cm) ,1 (1 cm), 2 (1.5 cm) | |
1361 | // | |
1362 | ||
1363 | if (fQNormHis==0) return 0; | |
1364 | TH3F * norm = (TH3F*)fQNormHis->At(4*itype+ipad); | |
1365 | if (!norm) return 1; | |
1366 | p2=TMath::Abs(p2); | |
1367 | dr=TMath::Min(dr,Float_t(norm->GetXaxis()->GetXmax()-norm->GetXaxis()->GetBinWidth(0))); | |
1368 | dr=TMath::Max(dr,Float_t(norm->GetXaxis()->GetXmin()+norm->GetXaxis()->GetBinWidth(0))); | |
1369 | // | |
1370 | p2=TMath::Min(p2,Float_t(norm->GetYaxis()->GetXmax()-norm->GetYaxis()->GetBinWidth(0))); | |
1371 | p2=TMath::Max(p2,Float_t(norm->GetYaxis()->GetXmin()+norm->GetYaxis()->GetBinWidth(0))); | |
1372 | // | |
1373 | p3=TMath::Min(p3,Float_t(norm->GetZaxis()->GetXmax()-norm->GetZaxis()->GetBinWidth(0))); | |
1374 | p3=TMath::Max(p3,Float_t(norm->GetZaxis()->GetXmin()+norm->GetZaxis()->GetBinWidth(0))); | |
1375 | // | |
1376 | Double_t res = norm->GetBinContent(norm->FindBin(dr,p2,p3)); | |
1377 | if (res==0) res = norm->GetBinContent(norm->FindBin(0.5,0.5,0.5)); // This is just hack - to be fixed entries without | |
1378 | ||
1379 | return res; | |
1380 | } | |
1381 | ||
1382 | ||
1383 | ||
798017c7 | 1384 | void AliTPCClusterParam::SetQnorm(Int_t ipad, Int_t itype, const TVectorD *const norm){ |
0a65832b | 1385 | // |
1386 | // set normalization | |
1387 | // | |
1388 | // type - 0 Qtot 1 Qmax | |
1389 | // ipad - 0 (0.75 cm) ,1 (1 cm), 2 (1.5 cm) | |
1390 | // | |
1391 | ||
1392 | if (fQNorm==0) fQNorm = new TObjArray(6); | |
1393 | fQNorm->AddAt(new TVectorD(*norm), itype*3+ipad); | |
1394 | } | |
236a0d03 | 1395 | |
8a92e133 | 1396 | void AliTPCClusterParam::ResetQnormCorr(){ |
1397 | // | |
1398 | // | |
1399 | // | |
1400 | if (!fQNormCorr) fQNormCorr= new TMatrixD(12,6); | |
1401 | for (Int_t irow=0;irow<12; irow++) | |
1402 | for (Int_t icol=0;icol<6; icol++){ | |
1403 | (*fQNormCorr)(irow,icol)=1.; // default - no correction | |
1404 | if (irow>5) (*fQNormCorr)(irow,icol)=0.; // default - no correction | |
1405 | } | |
1406 | } | |
1407 | ||
1408 | void AliTPCClusterParam::SetQnormCorr(Int_t ipad, Int_t itype, Int_t corrType, Float_t val){ | |
1409 | // | |
1410 | // ipad - pad type | |
1411 | // itype - 0- qtot 1-qmax | |
1412 | // corrType - 0 - s0y corr - eff. PRF corr | |
1413 | // - 1 - s0z corr - eff. TRF corr | |
1414 | // - 2 - d0y - eff. diffusion correction y | |
1415 | // - 3 - d0z - eff. diffusion correction | |
1416 | // - 4 - eff length - eff.length - wire pitch + x diffsion | |
1417 | // - 5 - pad type normalization | |
1418 | if (!fQNormCorr) { | |
1419 | ResetQnormCorr(); | |
1420 | } | |
1421 | // | |
1422 | // eff shap parameterization matrix | |
1423 | // | |
1424 | // rows | |
1425 | // itype*3+ipad - itype=0 qtot itype=1 qmax ipad=0 | |
1426 | // | |
1427 | if (itype<2) (*fQNormCorr)(itype*3+ipad, corrType) *= val; // multiplicative correction | |
1428 | if (itype>=2) (*fQNormCorr)(itype*3+ipad, corrType)+= val; // additive correction | |
1429 | } | |
1430 | ||
1431 | Double_t AliTPCClusterParam::GetQnormCorr(Int_t ipad, Int_t itype, Int_t corrType) const{ | |
1432 | // | |
1433 | // see AliTPCClusterParam::SetQnormCorr | |
1434 | // | |
1435 | if (!fQNormCorr) return 0; | |
1436 | return (*fQNormCorr)(itype*3+ipad, corrType); | |
1437 | } | |
1438 | ||
1439 | ||
b17540e4 | 1440 | Float_t AliTPCClusterParam::QnormPos(Int_t ipad,Bool_t isMax, Float_t pad, Float_t time, Float_t z, Float_t sy2, Float_t sz2, Float_t qm, Float_t qt){ |
1441 | // | |
1442 | // Make Q normalization as function of following parameters | |
1443 | // Fit parameters to be used in corresponding correction function extracted in the AliTPCclaibTracksGain - Taylor expansion | |
1444 | // 1 - dp - relative pad position | |
1445 | // 2 - dt - relative time position | |
1446 | // 3 - di - drift length (norm to 1); | |
1447 | // 4 - dq0 - Tot/Max charge | |
1448 | // 5 - dq1 - Max/Tot charge | |
1449 | // 6 - sy - sigma y - shape | |
1450 | // 7 - sz - sigma z - shape | |
1451 | // | |
1452 | ||
1453 | //The results can be visualized using the debug streamer information of the AliTPCcalibTracksGain - | |
1454 | // Following variable used - correspondance to the our variable conventions | |
1455 | //chain0->SetAlias("dp","((Cl.fPad-int(Cl.fPad)-0.5)/0.5)"); | |
1456 | Double_t dp = ((pad-int(pad)-0.5)*2.); | |
1457 | //chain0->SetAlias("dt","((Cl.fTimeBin-int(Cl.fTimeBin)-0.5)/0.5)"); | |
1458 | Double_t dt = ((time-int(time)-0.5)*2.); | |
1459 | //chain0->SetAlias("di","(sqrt(1.-abs(Cl.fZ)/250.))"); | |
1460 | Double_t di = TMath::Sqrt(1-TMath::Abs(z)/250.); | |
1461 | //chain0->SetAlias("dq0","(0.2*(Cl.fQ+2)/(Cl.fMax+2))"); | |
1462 | Double_t dq0 = 0.2*(qt+2.)/(qm+2.); | |
1463 | //chain0->SetAlias("dq1","(5*(Cl.fMax+2)/(Cl.fQ+2))"); | |
1464 | Double_t dq1 = 5.*(qm+2.)/(qt+2.); | |
1465 | //chain0->SetAlias("sy","(0.32/sqrt(0.01^2+Cl.fSigmaY2))"); | |
1466 | Double_t sy = 0.32/TMath::Sqrt(0.01*0.01+sy2); | |
1467 | //chain0->SetAlias("sz","(0.32/sqrt(0.01^2+Cl.fSigmaZ2))"); | |
1468 | Double_t sz = 0.32/TMath::Sqrt(0.01*0.01+sz2); | |
1469 | // | |
1470 | // | |
1471 | // | |
1472 | TVectorD * pvec = 0; | |
1473 | if (isMax){ | |
1474 | pvec = fPosQMnorm[ipad]; | |
1475 | }else{ | |
1476 | pvec = fPosQTnorm[ipad]; | |
1477 | } | |
1478 | TVectorD ¶m = *pvec; | |
1479 | // | |
1480 | // Eval part - in correspondance with fit part from debug streamer | |
1481 | // | |
1482 | Double_t result=param[0]; | |
1483 | Int_t index =1; | |
1484 | // | |
1485 | result+=dp*param[index++]; //1 | |
1486 | result+=dt*param[index++]; //2 | |
1487 | result+=dp*dp*param[index++]; //3 | |
1488 | result+=dt*dt*param[index++]; //4 | |
1489 | result+=dt*dt*dt*param[index++]; //5 | |
1490 | result+=dp*dt*param[index++]; //6 | |
1491 | result+=dp*dt*dt*param[index++]; //7 | |
1492 | result+=(dq0)*param[index++]; //8 | |
1493 | result+=(dq1)*param[index++]; //9 | |
1494 | // | |
1495 | // | |
1496 | result+=dp*dp*(di)*param[index++]; //10 | |
1497 | result+=dt*dt*(di)*param[index++]; //11 | |
1498 | result+=dp*dp*sy*param[index++]; //12 | |
1499 | result+=dt*sz*param[index++]; //13 | |
1500 | result+=dt*dt*sz*param[index++]; //14 | |
1501 | result+=dt*dt*dt*sz*param[index++]; //15 | |
1502 | // | |
1503 | result+=dp*dp*1*sy*sz*param[index++]; //16 | |
1504 | result+=dt*sy*sz*param[index++]; //17 | |
1505 | result+=dt*dt*sy*sz*param[index++]; //18 | |
1506 | result+=dt*dt*dt*sy*sz*param[index++]; //19 | |
1507 | // | |
1508 | result+=dp*dp*(dq0)*param[index++]; //20 | |
1509 | result+=dt*1*(dq0)*param[index++]; //21 | |
1510 | result+=dt*dt*(dq0)*param[index++]; //22 | |
1511 | result+=dt*dt*dt*(dq0)*param[index++]; //23 | |
1512 | // | |
1513 | result+=dp*dp*(dq1)*param[index++]; //24 | |
1514 | result+=dt*(dq1)*param[index++]; //25 | |
1515 | result+=dt*dt*(dq1)*param[index++]; //26 | |
1516 | result+=dt*dt*dt*(dq1)*param[index++]; //27 | |
1517 | ||
2e5bcb67 | 1518 | if (result<0.75) result=0.75; |
1519 | if (result>1.25) result=1.25; | |
1520 | ||
b17540e4 | 1521 | return result; |
1522 | ||
1523 | } | |
236a0d03 | 1524 | |
1525 | ||
1526 | ||
236a0d03 | 1527 | |
236a0d03 | 1528 | |
bf97e1c4 | 1529 | Float_t AliTPCClusterParam::PosCorrection(Int_t type, Int_t ipad, Float_t pad, Float_t time, Float_t z, Float_t /*sy2*/, Float_t /*sz2*/, Float_t /*qm*/){ |
2e5bcb67 | 1530 | |
1531 | // | |
1532 | // Make postion correction | |
1533 | // type - 0 - y correction | |
1534 | // 1 - z correction | |
1535 | // ipad - 0, 1, 2 - short, medium long pads | |
1536 | // pad - float pad number | |
1537 | // time - float time bin number | |
1538 | // z - z of the cluster | |
2e5bcb67 | 1539 | |
1540 | // | |
1541 | //chainres->SetAlias("dp","(-1+(Cl.fZ>0)*2)*((Cl.fPad-int(Cl.fPad))-0.5)"); | |
1542 | //chainres->SetAlias("dt","(-1+(Cl.fZ>0)*2)*((Cl.fTimeBin-0.66-int(Cl.fTimeBin-0.66))-0.5)"); | |
1543 | //chainres->SetAlias("sp","(sin(dp*pi)-dp*pi)"); | |
1544 | //chainres->SetAlias("st","(sin(dt)-dt)"); | |
1545 | // | |
1546 | //chainres->SetAlias("di","sqrt(1.-abs(Cl.fZ/250.))"); | |
2e5bcb67 | 1547 | |
1548 | // | |
1549 | // Derived variables | |
1550 | // | |
1551 | Double_t dp = (-1+(z>0)*2)*((pad-int(pad))-0.5); | |
1552 | Double_t dt = (-1+(z>0)*2)*((time-0.66-int(time-0.66))-0.5); | |
1553 | Double_t sp = (TMath::Sin(dp*TMath::Pi())-dp*TMath::Pi()); | |
1554 | Double_t st = (TMath::Sin(dt)-dt); | |
1555 | // | |
bf97e1c4 | 1556 | Double_t di = TMath::Sqrt(TMath::Abs(1.-TMath::Abs(z/250.))); |
2e5bcb67 | 1557 | // |
1558 | // | |
1559 | // | |
1560 | TVectorD * pvec = 0; | |
1561 | if (type==0){ | |
1562 | pvec = fPosYcor[ipad]; | |
1563 | }else{ | |
1564 | pvec = fPosZcor[ipad]; | |
1565 | } | |
1566 | TVectorD ¶m = *pvec; | |
1567 | // | |
bf97e1c4 | 1568 | Double_t result=0; |
2e5bcb67 | 1569 | Int_t index =1; |
1570 | ||
1571 | if (type==0){ | |
1572 | // y corr | |
1573 | result+=(dp)*param[index++]; //1 | |
1574 | result+=(dp)*di*param[index++]; //2 | |
2e5bcb67 | 1575 | // |
bf97e1c4 | 1576 | result+=(sp)*param[index++]; //3 |
1577 | result+=(sp)*di*param[index++]; //4 | |
2e5bcb67 | 1578 | } |
1579 | if (type==1){ | |
1580 | result+=(dt)*param[index++]; //1 | |
1581 | result+=(dt)*di*param[index++]; //2 | |
2e5bcb67 | 1582 | // |
bf97e1c4 | 1583 | result+=(st)*param[index++]; //3 |
1584 | result+=(st)*di*param[index++]; //4 | |
2e5bcb67 | 1585 | } |
bf97e1c4 | 1586 | if (TMath::Abs(result)>0.05) return 0; |
2e5bcb67 | 1587 | return result; |
1588 | } | |
1589 | ||
1590 | ||
1591 | ||
6194ddbd | 1592 | Double_t AliTPCClusterParam::GaussConvolution(Double_t x0, Double_t x1, Double_t k0, Double_t k1, Double_t s0, Double_t s1){ |
1593 | // | |
1594 | // 2 D gaus convoluted with angular effect | |
1595 | // See in mathematica: | |
1596 | //Simplify[Integrate[Exp[-(x0-k0*xd)*(x0-k0*xd)/(2*s0*s0)-(x1-k1*xd)*(x1-k1*xd)/(2*s1*s1)]/(s0*s1),{xd,-1/2,1/2}]] | |
1597 | // | |
1598 | //TF1 f1("f1","AliTPCClusterParam::GaussConvolution(x,0,1,0,0.1,0.1)",-2,2) | |
1599 | //TF2 f2("f2","AliTPCClusterParam::GaussConvolution(x,y,1,1,0.1,0.1)",-2,2,-2,2) | |
1600 | // | |
52ccf2b2 | 1601 | const Double_t kEpsilon = 0.0001; |
1602 | const Double_t twoPi = TMath::TwoPi(); | |
1603 | const Double_t hnorm = 0.5/TMath::Sqrt(twoPi); | |
1604 | const Double_t sqtwo = TMath::Sqrt(2.); | |
1605 | ||
6194ddbd | 1606 | if ((TMath::Abs(k0)+TMath::Abs(k1))<kEpsilon*(s0+s1)){ |
1607 | // small angular effect | |
52ccf2b2 | 1608 | Double_t val = TMath::Gaus(x0,0,s0)*TMath::Gaus(x1,0,s1)/(s0*s1*twoPi); |
6194ddbd | 1609 | return val; |
1610 | } | |
1611 | Double_t sigma2 = k1*k1*s0*s0+k0*k0*s1*s1; | |
52ccf2b2 | 1612 | Double_t sigma = TMath::Sqrt(sigma2); |
1613 | Double_t exp0 = TMath::Exp(-(k1*x0-k0*x1)*(k1*x0-k0*x1)/(2.*sigma2)); | |
1614 | // | |
1615 | Double_t sigmaErf = 1./(2.*s0*s1*sqtwo*sigma); | |
1616 | Double_t k0s1s1 = 2.*k0*s1*s1; | |
1617 | Double_t k1s0s0 = 2.*k1*s0*s0; | |
1618 | Double_t erf0 = AliMathBase::ErfFast((sigma2-k0s1s1*x0-k1s0s0*x1)*sigmaErf); | |
1619 | Double_t erf1 = AliMathBase::ErfFast((sigma2+k0s1s1*x0+k1s0s0*x1)*sigmaErf); | |
1620 | Double_t norm = hnorm/sigma; | |
6194ddbd | 1621 | Double_t val = norm*exp0*(erf0+erf1); |
1622 | return val; | |
1623 | } | |
1624 | ||
1625 | ||
1626 | Double_t AliTPCClusterParam::GaussConvolutionTail(Double_t x0, Double_t x1, Double_t k0, Double_t k1, Double_t s0, Double_t s1, Double_t tau){ | |
1627 | // | |
1628 | // 2 D gaus convoluted with angular effect and exponential tail in z-direction | |
1629 | // tail integrated numerically | |
1630 | // Integral normalized to one | |
1631 | // Mean at 0 | |
1632 | // | |
1633 | // TF1 f1t("f1t","AliTPCClusterParam::GaussConvolutionTail(0,x,0,0,0.5,0.5,0.9)",-5,5) | |
1634 | Double_t sum =1, mean=0; | |
1635 | // the COG of exponent | |
1636 | for (Float_t iexp=0;iexp<5;iexp+=0.2){ | |
1637 | mean+=iexp*TMath::Exp(-iexp/tau); | |
1638 | sum +=TMath::Exp(-iexp/tau); | |
1639 | } | |
1640 | mean/=sum; | |
1641 | // | |
1642 | sum = 1; | |
1643 | Double_t val = GaussConvolution(x0,x1+mean, k0, k1 , s0,s1); | |
1644 | for (Float_t iexp=0;iexp<5;iexp+=0.2){ | |
1645 | val+=GaussConvolution(x0,x1+mean-iexp, k0, k1 , s0,s1)*TMath::Exp(-iexp/tau); | |
1646 | sum+=TMath::Exp(-iexp/tau); | |
1647 | } | |
1648 | return val/sum; | |
1649 | } | |
1650 | ||
1651 | Double_t AliTPCClusterParam::GaussConvolutionGamma4(Double_t x0, Double_t x1, Double_t k0, Double_t k1, Double_t s0, Double_t s1, Double_t tau){ | |
1652 | // | |
1653 | // 2 D gaus convoluted with angular effect and exponential tail in z-direction | |
1654 | // tail integrated numerically | |
1655 | // Integral normalized to one | |
1656 | // Mean at 0 | |
1657 | // | |
1658 | // TF1 f1g4("f1g4","AliTPCClusterParam::GaussConvolutionGamma4(0,x,0,0,0.5,0.2,1.6)",-5,5) | |
1659 | // TF2 f2g4("f2g4","AliTPCClusterParam::GaussConvolutionGamma4(y,x,0,0,0.5,0.2,1.6)",-5,5,-5,5) | |
1660 | Double_t sum =0, mean=0; | |
1661 | // the COG of G4 | |
1662 | for (Float_t iexp=0;iexp<5;iexp+=0.2){ | |
1663 | Double_t g4 = TMath::Exp(-4.*iexp/tau)*TMath::Power(iexp/tau,4.); | |
1664 | mean+=iexp*g4; | |
1665 | sum +=g4; | |
1666 | } | |
1667 | mean/=sum; | |
1668 | // | |
1669 | sum = 0; | |
1670 | Double_t val = 0; | |
1671 | for (Float_t iexp=0;iexp<5;iexp+=0.2){ | |
1672 | Double_t g4 = TMath::Exp(-4.*iexp/tau)*TMath::Power(iexp/tau,4.); | |
1673 | val+=GaussConvolution(x0,x1+mean-iexp, k0, k1 , s0,s1)*g4; | |
1674 | sum+=g4; | |
1675 | } | |
1676 | return val/sum; | |
1677 | } | |
1678 | ||
8a92e133 | 1679 | Double_t AliTPCClusterParam::QmaxCorrection(Int_t sector, Int_t row, Float_t cpad, Float_t ctime, Float_t ky, Float_t kz, Float_t rmsy0, Float_t rmsz0, Float_t effPad, Float_t effDiff){ |
6194ddbd | 1680 | // |
1681 | // | |
1682 | // cpad - pad (y) coordinate | |
1683 | // ctime - time(z) coordinate | |
1684 | // ky - dy/dx | |
1685 | // kz - dz/dx | |
1686 | // rmsy0 - RF width in pad units | |
8a92e133 | 1687 | // rmsz0 - RF width in time bin units |
1688 | // effLength - contibution of PRF and diffusion | |
1689 | // effDiff - overwrite diffusion | |
6194ddbd | 1690 | |
1691 | // Response function aproximated by convolution of gaussian with angular effect (integral=1) | |
1692 | // | |
1693 | // Gaus width sy and sz is determined by RF width and diffusion | |
1694 | // Integral of Q is equal 1 | |
1695 | // Q max is calculated at position cpad, ctime | |
1696 | // Example function: | |
1697 | // TF1 f1("f1", "AliTPCClusterParam::QmaxCorrection(0,0.5,x,0,0,0.5,0.6)",0,1000) | |
1698 | // | |
1699 | AliTPCParam * param = AliTPCcalibDB::Instance()->GetParameters(); | |
1700 | Double_t padLength= param->GetPadPitchLength(sector,row); | |
1701 | Double_t padWidth = param->GetPadPitchWidth(sector); | |
8a92e133 | 1702 | Double_t zwidth = param->GetZWidth(); |
1703 | Double_t effLength= padLength+(param->GetWWPitch(0)+TMath::Sqrt(ctime*zwidth)*param->GetDiffT())*effPad; | |
1704 | ||
1705 | // diffusion in pad, time bin units | |
1706 | Double_t diffT=TMath::Sqrt(ctime*zwidth)*param->GetDiffT()/padWidth; | |
1707 | Double_t diffL=TMath::Sqrt(ctime*zwidth)*param->GetDiffL()/zwidth; | |
1708 | diffT*=effDiff; // | |
1709 | diffL*=effDiff; // | |
6194ddbd | 1710 | // |
1711 | // transform angular effect to pad units | |
8a92e133 | 1712 | // |
1713 | Double_t pky = ky*effLength/padWidth; | |
1714 | Double_t pkz = kz*effLength/zwidth; | |
6194ddbd | 1715 | // position in pad unit |
1716 | Double_t py = (cpad+0.5)-TMath::Nint(cpad+0.5); | |
1717 | Double_t pz = (ctime+0.5)-TMath::Nint(ctime+0.5); | |
1718 | // | |
1719 | // | |
1720 | Double_t sy = TMath::Sqrt(rmsy0*rmsy0+diffT*diffT); | |
1721 | Double_t sz = TMath::Sqrt(rmsz0*rmsz0+diffL*diffL); | |
8a92e133 | 1722 | //return GaussConvolutionGamma4(py,pz, pky,pkz,sy,sz,tau); |
1723 | Double_t length = padLength*TMath::Sqrt(1+ky*ky+kz*kz); | |
1724 | return GaussConvolution(py,pz, pky,pkz,sy,sz)*length; | |
6194ddbd | 1725 | } |
1726 | ||
8a92e133 | 1727 | Double_t AliTPCClusterParam::QtotCorrection(Int_t sector, Int_t row, Float_t cpad, Float_t ctime, Float_t ky, Float_t kz, Float_t rmsy0, Float_t rmsz0, Float_t qtot, Float_t thr, Float_t effPad, Float_t effDiff){ |
6194ddbd | 1728 | // |
1729 | // | |
1730 | // cpad - pad (y) coordinate | |
1731 | // ctime - time(z) coordinate | |
1732 | // ky - dy/dx | |
1733 | // kz - dz/dx | |
1734 | // rmsy0 - RF width in pad units | |
8a92e133 | 1735 | // rmsz0 - RF width in time bin units |
6194ddbd | 1736 | // qtot - the sum of signal in cluster - without thr correction |
1737 | // thr - threshold | |
8a92e133 | 1738 | // effLength - contibution of PRF and diffusion |
1739 | // effDiff - overwrite diffusion | |
6194ddbd | 1740 | |
1741 | // Response function aproximated by convolution of gaussian with angular effect (integral=1) | |
1742 | // | |
1743 | // Gaus width sy and sz is determined by RF width and diffusion | |
1744 | // Integral of Q is equal 1 | |
1745 | // Q max is calculated at position cpad, ctime | |
1746 | // | |
1747 | // | |
1748 | // | |
1749 | AliTPCParam * param = AliTPCcalibDB::Instance()->GetParameters(); | |
1750 | Double_t padLength= param->GetPadPitchLength(sector,row); | |
1751 | Double_t padWidth = param->GetPadPitchWidth(sector); | |
8a92e133 | 1752 | Double_t zwidth = param->GetZWidth(); |
1753 | Double_t effLength= padLength+(param->GetWWPitch(0)+TMath::Sqrt(ctime*zwidth)*param->GetDiffT())*effPad; | |
6194ddbd | 1754 | // |
1755 | // diffusion in pad units | |
8a92e133 | 1756 | Double_t diffT=TMath::Sqrt(ctime*zwidth)*param->GetDiffT()/padWidth; |
1757 | Double_t diffL=TMath::Sqrt(ctime*zwidth)*param->GetDiffL()/zwidth; | |
1758 | diffT*=effDiff; // | |
1759 | diffL*=effDiff; // | |
1760 | // | |
1761 | // transform angular effect to pad units | |
1762 | Double_t pky = ky*effLength/padWidth; | |
1763 | Double_t pkz = kz*effLength/zwidth; | |
6194ddbd | 1764 | // position in pad unit |
1765 | // | |
1766 | Double_t py = (cpad+0.5)-TMath::Nint(cpad+0.5); | |
1767 | Double_t pz = (ctime+0.5)-TMath::Nint(ctime+0.5); | |
1768 | // | |
1769 | Double_t sy = TMath::Sqrt(rmsy0*rmsy0+diffT*diffT); | |
1770 | Double_t sz = TMath::Sqrt(rmsz0*rmsz0+diffL*diffL); | |
1771 | // | |
1772 | // | |
1773 | // | |
1774 | Double_t sumAll=0,sumThr=0; | |
1775 | // | |
1776 | Double_t corr =1; | |
1777 | Double_t qnorm=qtot; | |
8a92e133 | 1778 | for (Float_t iy=-3;iy<=3;iy+=1.) |
1779 | for (Float_t iz=-4;iz<=4;iz+=1.){ | |
1780 | // Double_t val = GaussConvolutionGamma4(py-iy,pz-iz, pky,pkz, sy,sz,tau); | |
1781 | Double_t val = GaussConvolution(py-iy,pz-iz, pky,pkz, sy,sz); | |
6194ddbd | 1782 | Double_t qlocal =qnorm*val; |
8a92e133 | 1783 | if (TMath::Abs(iy)<1.5&&TMath::Abs(iz)<1.5){ |
1784 | sumThr+=qlocal; // Virtual charge used in cluster finder | |
6194ddbd | 1785 | } |
1786 | else{ | |
8a92e133 | 1787 | if (qlocal>thr && TMath::Abs(iz)<2.5&&TMath::Abs(iy)<2.5) sumThr+=qlocal; |
6194ddbd | 1788 | } |
1789 | sumAll+=qlocal; | |
1790 | } | |
8a92e133 | 1791 | if (sumAll>0&&sumThr>0) { |
1792 | corr=(sumThr)/sumAll; | |
1793 | } | |
6194ddbd | 1794 | // |
8a92e133 | 1795 | Double_t length = padLength*TMath::Sqrt(1+ky*ky+kz*kz); |
1796 | return corr*length; | |
6194ddbd | 1797 | } |
1798 | ||
1799 | ||
1800 | ||
1801 | ||
1802 | ||
1803 | ||
1804 |