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Updated flags for low flux case (A. Dainese)
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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/*
d028aade 64 AliCDBManager::Instance()->SetDefaultStorage("local://$ALICE_ROOT");
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//
78AliTPCClusterParam *param = new AliTPCClusterParam;
79param->FitData(Resol);
80AliTPCClusterParam::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>
94#include <TProfile2D.h>
0a65832b 95#include <TVectorD.h>
96#include <TObjArray.h>
db2fdcfb 97#include "AliTPCcalibDB.h"
12ca5da1 98
99ClassImp(AliTPCClusterParam)
100
101
102AliTPCClusterParam* AliTPCClusterParam::fgInstance = 0;
103
104
105/*
106 Example usage fitting parameterization:
107 TFile fres("resol.root"); //tree with resolution and shape
108 TTree * treeRes =(TTree*)fres.Get("Resol");
109
110 AliTPCClusterParam param;
111 param.SetInstance(&param);
112 param.FitResol(treeRes);
113 param.FitRMS(treeRes);
114 TFile fparam("TPCClusterParam.root","recreate");
115 param.Write("Param");
116 //
117 //
118 TFile fparam("TPCClusterParam.root");
119 AliTPCClusterParam *param2 = (AliTPCClusterParam *) fparam.Get("Param");
120 param2->SetInstance(param2);
121 param2->Test(treeRes);
122
123
124 treeRes->Draw("(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol","Dim==0&&QMean<0")
125
126*/
127
128
129
130
131//_ singleton implementation __________________________________________________
132AliTPCClusterParam* AliTPCClusterParam::Instance()
133{
134 //
135 // Singleton implementation
136 // Returns an instance of this class, it is created if neccessary
137 //
138 if (fgInstance == 0){
139 fgInstance = new AliTPCClusterParam();
140 }
141 return fgInstance;
142}
143
144
f1c2a4a3 145AliTPCClusterParam::AliTPCClusterParam():
146 TObject(),
38caa778 147 fRatio(0),
b17540e4 148 fQNorm(0),
149 fQpadTnorm(0), // q pad normalization - Total charge
150 fQpadMnorm(0) // q pad normalization - Max charge
151 //
f1c2a4a3 152{
153 //
154 // Default constructor
155 //
b17540e4 156 fPosQTnorm[0] = 0; fPosQTnorm[1] = 0; fPosQTnorm[2] = 0;
157 fPosQMnorm[0] = 0; fPosQMnorm[1] = 0; fPosQMnorm[2] = 0;
2e5bcb67 158 //
159 fPosYcor[0] = 0; fPosYcor[1] = 0; fPosYcor[2] = 0;
160 fPosZcor[0] = 0; fPosZcor[1] = 0; fPosZcor[2] = 0;
f1c2a4a3 161}
38caa778 162
163AliTPCClusterParam::AliTPCClusterParam(const AliTPCClusterParam& param):
164 TObject(param),
165 fRatio(0),
b17540e4 166 fQNorm(0),
167 fQpadTnorm(new TVectorD(*(param.fQpadTnorm))), // q pad normalization - Total charge
168 fQpadMnorm(new TVectorD(*(param.fQpadMnorm))) // q pad normalization - Max charge
169
38caa778 170{
171 //
172 // copy constructor
173 //
174 memcpy(this, &param,sizeof(AliTPCClusterParam));
175 if (param.fQNorm) fQNorm = (TObjArray*) param.fQNorm->Clone();
b17540e4 176 //
177 if (param.fPosQTnorm[0]){
178 fPosQTnorm[0] = new TVectorD(*(param.fPosQTnorm[0]));
179 fPosQTnorm[1] = new TVectorD(*(param.fPosQTnorm[1]));
180 fPosQTnorm[2] = new TVectorD(*(param.fPosQTnorm[2]));
181 //
182 fPosQMnorm[0] = new TVectorD(*(param.fPosQMnorm[0]));
183 fPosQMnorm[1] = new TVectorD(*(param.fPosQMnorm[1]));
184 fPosQMnorm[2] = new TVectorD(*(param.fPosQMnorm[2]));
185 }
2e5bcb67 186 if (param.fPosYcor[0]){
187 fPosYcor[0] = new TVectorD(*(param.fPosYcor[0]));
188 fPosYcor[1] = new TVectorD(*(param.fPosYcor[1]));
189 fPosYcor[2] = new TVectorD(*(param.fPosYcor[2]));
190 //
191 fPosZcor[0] = new TVectorD(*(param.fPosZcor[0]));
192 fPosZcor[1] = new TVectorD(*(param.fPosZcor[1]));
193 fPosZcor[2] = new TVectorD(*(param.fPosZcor[2]));
194 }
195
38caa778 196}
197
b17540e4 198
38caa778 199AliTPCClusterParam & AliTPCClusterParam::operator=(const AliTPCClusterParam& param){
200 //
201 // Assignment operator
202 //
203 if (this != &param) {
204 memcpy(this, &param,sizeof(AliTPCClusterParam));
205 if (param.fQNorm) fQNorm = (TObjArray*) param.fQNorm->Clone();
b17540e4 206 if (param.fPosQTnorm[0]){
207 fPosQTnorm[0] = new TVectorD(*(param.fPosQTnorm[0]));
208 fPosQTnorm[1] = new TVectorD(*(param.fPosQTnorm[1]));
209 fPosQTnorm[2] = new TVectorD(*(param.fPosQTnorm[2]));
210 //
211 fPosQMnorm[0] = new TVectorD(*(param.fPosQMnorm[0]));
212 fPosQMnorm[1] = new TVectorD(*(param.fPosQMnorm[1]));
213 fPosQMnorm[2] = new TVectorD(*(param.fPosQMnorm[2]));
214 }
2e5bcb67 215 if (param.fPosYcor[0]){
216 fPosYcor[0] = new TVectorD(*(param.fPosYcor[0]));
217 fPosYcor[1] = new TVectorD(*(param.fPosYcor[1]));
218 fPosYcor[2] = new TVectorD(*(param.fPosYcor[2]));
219 //
220 fPosZcor[0] = new TVectorD(*(param.fPosZcor[0]));
221 fPosZcor[1] = new TVectorD(*(param.fPosZcor[1]));
222 fPosZcor[2] = new TVectorD(*(param.fPosZcor[2]));
223 }
38caa778 224 }
225 return *this;
226}
227
228
f1c2a4a3 229AliTPCClusterParam::~AliTPCClusterParam(){
230 //
231 // destructor
232 //
233 if (fQNorm) fQNorm->Delete();
234 delete fQNorm;
b17540e4 235 if (fPosQTnorm[0]){
236 delete fPosQTnorm[0];
237 delete fPosQTnorm[1];
238 delete fPosQTnorm[2];
239 //
240 delete fPosQMnorm[0];
241 delete fPosQMnorm[1];
242 delete fPosQMnorm[2];
243 }
2e5bcb67 244 if (fPosYcor[0]){
245 delete fPosYcor[0];
246 delete fPosYcor[1];
247 delete fPosYcor[2];
248 //
249 delete fPosZcor[0];
250 delete fPosZcor[1];
251 delete fPosZcor[2];
252 }
f1c2a4a3 253}
12ca5da1 254
255
256void AliTPCClusterParam::FitResol0(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
257 //
258 // Fit z - angular dependence of resolution
259 //
260 // Int_t dim=0, type=0;
261 char varVal[100];
262 sprintf(varVal,"Resol:AngleM:Zm");
263 char varErr[100];
264 sprintf(varErr,"Sigma:AngleS:Zs");
265 char varCut[100];
266 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean<0",dim,type);
267 //
268 Int_t entries = tree->Draw(varVal,varCut);
269 Float_t px[10000], py[10000], pz[10000];
270 Float_t ex[10000], ey[10000], ez[10000];
271 //
272 tree->Draw(varErr,varCut);
273 for (Int_t ipoint=0; ipoint<entries; ipoint++){
274 ex[ipoint]= tree->GetV3()[ipoint];
275 ey[ipoint]= tree->GetV2()[ipoint];
276 ez[ipoint]= tree->GetV1()[ipoint];
277 }
278 tree->Draw(varVal,varCut);
279 for (Int_t ipoint=0; ipoint<entries; ipoint++){
280 px[ipoint]= tree->GetV3()[ipoint];
281 py[ipoint]= tree->GetV2()[ipoint];
282 pz[ipoint]= tree->GetV1()[ipoint];
283 }
284
285 //
286 TLinearFitter fitter(3,"hyp2");
287 for (Int_t ipoint=0; ipoint<entries; ipoint++){
288 Float_t val = pz[ipoint]*pz[ipoint];
289 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
290 Double_t x[2];
291 x[0] = px[ipoint];
292 x[1] = py[ipoint]*py[ipoint];
293 fitter.AddPoint(x,val,err);
294 }
295 fitter.Eval();
296 TVectorD param(3);
297 fitter.GetParameters(param);
298 param0[0] = param[0];
299 param0[1] = param[1];
300 param0[2] = param[2];
301 Float_t chi2 = fitter.GetChisquare()/entries;
302 param0[3] = chi2;
303 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
304 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
305 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
306}
307
308
309void AliTPCClusterParam::FitResol0Par(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
310 //
311 // Fit z - angular dependence of resolution
312 //
313 // Int_t dim=0, type=0;
314 char varVal[100];
315 sprintf(varVal,"Resol:AngleM:Zm");
316 char varErr[100];
317 sprintf(varErr,"Sigma:AngleS:Zs");
318 char varCut[100];
319 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean<0",dim,type);
320 //
321 Int_t entries = tree->Draw(varVal,varCut);
322 Float_t px[10000], py[10000], pz[10000];
323 Float_t ex[10000], ey[10000], ez[10000];
324 //
325 tree->Draw(varErr,varCut);
326 for (Int_t ipoint=0; ipoint<entries; ipoint++){
327 ex[ipoint]= tree->GetV3()[ipoint];
328 ey[ipoint]= tree->GetV2()[ipoint];
329 ez[ipoint]= tree->GetV1()[ipoint];
330 }
331 tree->Draw(varVal,varCut);
332 for (Int_t ipoint=0; ipoint<entries; ipoint++){
333 px[ipoint]= tree->GetV3()[ipoint];
334 py[ipoint]= tree->GetV2()[ipoint];
335 pz[ipoint]= tree->GetV1()[ipoint];
336 }
337
338 //
339 TLinearFitter fitter(6,"hyp5");
340 for (Int_t ipoint=0; ipoint<entries; ipoint++){
341 Float_t val = pz[ipoint]*pz[ipoint];
342 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
343 Double_t x[6];
344 x[0] = px[ipoint];
345 x[1] = py[ipoint]*py[ipoint];
346 x[2] = x[0]*x[0];
347 x[3] = x[1]*x[1];
348 x[4] = x[0]*x[1];
349 fitter.AddPoint(x,val,err);
350 }
351 fitter.Eval();
352 TVectorD param(6);
353 fitter.GetParameters(param);
354 param0[0] = param[0];
355 param0[1] = param[1];
356 param0[2] = param[2];
357 param0[3] = param[3];
358 param0[4] = param[4];
359 param0[5] = param[5];
360 Float_t chi2 = fitter.GetChisquare()/entries;
361 param0[6] = chi2;
362 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
363 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
364 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
365 error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2));
366 error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2));
367 error[5] = (fitter.GetParError(5)*TMath::Sqrt(chi2));
368}
369
370
371
372
373
374void AliTPCClusterParam::FitResol1(TTree * tree, Int_t dim, Float_t *param0, Float_t *error){
375 //
376 // Fit z - angular dependence of resolution - pad length scaling
377 //
378 // Int_t dim=0, type=0;
379 char varVal[100];
380 sprintf(varVal,"Resol:AngleM*sqrt(Length):Zm/Length");
381 char varErr[100];
382 sprintf(varErr,"Sigma:AngleS:Zs");
383 char varCut[100];
384 sprintf(varCut,"Dim==%d&&QMean<0",dim);
385 //
386 Int_t entries = tree->Draw(varVal,varCut);
387 Float_t px[10000], py[10000], pz[10000];
388 Float_t ex[10000], ey[10000], ez[10000];
389 //
390 tree->Draw(varErr,varCut);
391 for (Int_t ipoint=0; ipoint<entries; ipoint++){
392 ex[ipoint]= tree->GetV3()[ipoint];
393 ey[ipoint]= tree->GetV2()[ipoint];
394 ez[ipoint]= tree->GetV1()[ipoint];
395 }
396 tree->Draw(varVal,varCut);
397 for (Int_t ipoint=0; ipoint<entries; ipoint++){
398 px[ipoint]= tree->GetV3()[ipoint];
399 py[ipoint]= tree->GetV2()[ipoint];
400 pz[ipoint]= tree->GetV1()[ipoint];
401 }
402
403 //
404 TLinearFitter fitter(3,"hyp2");
405 for (Int_t ipoint=0; ipoint<entries; ipoint++){
406 Float_t val = pz[ipoint]*pz[ipoint];
407 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
408 Double_t x[2];
409 x[0] = px[ipoint];
410 x[1] = py[ipoint]*py[ipoint];
411 fitter.AddPoint(x,val,err);
412 }
413 fitter.Eval();
414 TVectorD param(3);
415 fitter.GetParameters(param);
416 param0[0] = param[0];
417 param0[1] = param[1];
418 param0[2] = param[2];
419 Float_t chi2 = fitter.GetChisquare()/entries;
420 param0[3] = chi2;
421 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
422 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
423 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
424}
425
426void AliTPCClusterParam::FitResolQ(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
427 //
428 // Fit z - angular dependence of resolution - Q scaling
429 //
430 // Int_t dim=0, type=0;
431 char varVal[100];
432 sprintf(varVal,"Resol:AngleM/sqrt(QMean):Zm/QMean");
433 char varVal0[100];
434 sprintf(varVal0,"Resol:AngleM:Zm");
435 //
436 char varErr[100];
437 sprintf(varErr,"Sigma:AngleS:Zs");
438 char varCut[100];
439 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean>0",dim,type);
440 //
441 Int_t entries = tree->Draw(varVal,varCut);
442 Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000];
443 Float_t ex[20000], ey[20000], ez[20000];
444 //
445 tree->Draw(varErr,varCut);
446 for (Int_t ipoint=0; ipoint<entries; ipoint++){
447 ex[ipoint]= tree->GetV3()[ipoint];
448 ey[ipoint]= tree->GetV2()[ipoint];
449 ez[ipoint]= tree->GetV1()[ipoint];
450 }
451 tree->Draw(varVal,varCut);
452 for (Int_t ipoint=0; ipoint<entries; ipoint++){
453 px[ipoint]= tree->GetV3()[ipoint];
454 py[ipoint]= tree->GetV2()[ipoint];
455 pz[ipoint]= tree->GetV1()[ipoint];
456 }
457 tree->Draw(varVal0,varCut);
458 for (Int_t ipoint=0; ipoint<entries; ipoint++){
459 pu[ipoint]= tree->GetV3()[ipoint];
460 pt[ipoint]= tree->GetV2()[ipoint];
461 }
462
463 //
464 TLinearFitter fitter(5,"hyp4");
465 for (Int_t ipoint=0; ipoint<entries; ipoint++){
466 Float_t val = pz[ipoint]*pz[ipoint];
467 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
468 Double_t x[4];
469 x[0] = pu[ipoint];
470 x[1] = pt[ipoint]*pt[ipoint];
471 x[2] = px[ipoint];
472 x[3] = py[ipoint]*py[ipoint];
473 fitter.AddPoint(x,val,err);
474 }
475
476 fitter.Eval();
477 TVectorD param(5);
478 fitter.GetParameters(param);
479 param0[0] = param[0];
480 param0[1] = param[1];
481 param0[2] = param[2];
482 param0[3] = param[3];
483 param0[4] = param[4];
484 Float_t chi2 = fitter.GetChisquare()/entries;
485 param0[5] = chi2;
486 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
487 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
488 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
489 error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2));
490 error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2));
491}
492
493void AliTPCClusterParam::FitResolQPar(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
494 //
495 // Fit z - angular dependence of resolution - Q scaling - parabolic correction
496 //
497 // Int_t dim=0, type=0;
498 char varVal[100];
499 sprintf(varVal,"Resol:AngleM/sqrt(QMean):Zm/QMean");
500 char varVal0[100];
501 sprintf(varVal0,"Resol:AngleM:Zm");
502 //
503 char varErr[100];
504 sprintf(varErr,"Sigma:AngleS:Zs");
505 char varCut[100];
506 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean>0",dim,type);
507 //
508 Int_t entries = tree->Draw(varVal,varCut);
509 Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000];
510 Float_t ex[20000], ey[20000], ez[20000];
511 //
512 tree->Draw(varErr,varCut);
513 for (Int_t ipoint=0; ipoint<entries; ipoint++){
514 ex[ipoint]= tree->GetV3()[ipoint];
515 ey[ipoint]= tree->GetV2()[ipoint];
516 ez[ipoint]= tree->GetV1()[ipoint];
517 }
518 tree->Draw(varVal,varCut);
519 for (Int_t ipoint=0; ipoint<entries; ipoint++){
520 px[ipoint]= tree->GetV3()[ipoint];
521 py[ipoint]= tree->GetV2()[ipoint];
522 pz[ipoint]= tree->GetV1()[ipoint];
523 }
524 tree->Draw(varVal0,varCut);
525 for (Int_t ipoint=0; ipoint<entries; ipoint++){
526 pu[ipoint]= tree->GetV3()[ipoint];
527 pt[ipoint]= tree->GetV2()[ipoint];
528 }
529
530 //
531 TLinearFitter fitter(8,"hyp7");
532 for (Int_t ipoint=0; ipoint<entries; ipoint++){
533 Float_t val = pz[ipoint]*pz[ipoint];
534 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
535 Double_t x[7];
536 x[0] = pu[ipoint];
537 x[1] = pt[ipoint]*pt[ipoint];
538 x[2] = x[0]*x[0];
539 x[3] = x[1]*x[1];
540 x[4] = x[0]*x[1];
541 x[5] = px[ipoint];
542 x[6] = py[ipoint]*py[ipoint];
543 //
544 fitter.AddPoint(x,val,err);
545 }
546
547 fitter.Eval();
548 TVectorD param(8);
549 fitter.GetParameters(param);
550 param0[0] = param[0];
551 param0[1] = param[1];
552 param0[2] = param[2];
553 param0[3] = param[3];
554 param0[4] = param[4];
555 param0[5] = param[5];
556 param0[6] = param[6];
557 param0[7] = param[7];
558
559 Float_t chi2 = fitter.GetChisquare()/entries;
560 param0[8] = chi2;
561 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
562 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
563 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
564 error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2));
565 error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2));
566 error[5] = (fitter.GetParError(5)*TMath::Sqrt(chi2));
567 error[6] = (fitter.GetParError(6)*TMath::Sqrt(chi2));
568 error[7] = (fitter.GetParError(7)*TMath::Sqrt(chi2));
569}
570
571
572
573void AliTPCClusterParam::FitRMS0(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
574 //
575 // Fit z - angular dependence of resolution
576 //
577 // Int_t dim=0, type=0;
578 char varVal[100];
579 sprintf(varVal,"RMSm:AngleM:Zm");
580 char varErr[100];
581 sprintf(varErr,"sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Zs");
582 char varCut[100];
583 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean<0",dim,type);
584 //
585 Int_t entries = tree->Draw(varVal,varCut);
586 Float_t px[10000], py[10000], pz[10000];
587 Float_t ex[10000], ey[10000], ez[10000];
588 //
589 tree->Draw(varErr,varCut);
590 for (Int_t ipoint=0; ipoint<entries; ipoint++){
591 ex[ipoint]= tree->GetV3()[ipoint];
592 ey[ipoint]= tree->GetV2()[ipoint];
593 ez[ipoint]= tree->GetV1()[ipoint];
594 }
595 tree->Draw(varVal,varCut);
596 for (Int_t ipoint=0; ipoint<entries; ipoint++){
597 px[ipoint]= tree->GetV3()[ipoint];
598 py[ipoint]= tree->GetV2()[ipoint];
599 pz[ipoint]= tree->GetV1()[ipoint];
600 }
601
602 //
603 TLinearFitter fitter(3,"hyp2");
604 for (Int_t ipoint=0; ipoint<entries; ipoint++){
605 Float_t val = pz[ipoint]*pz[ipoint];
606 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
607 Double_t x[2];
608 x[0] = px[ipoint];
609 x[1] = py[ipoint]*py[ipoint];
610 fitter.AddPoint(x,val,err);
611 }
612 fitter.Eval();
613 TVectorD param(3);
614 fitter.GetParameters(param);
615 param0[0] = param[0];
616 param0[1] = param[1];
617 param0[2] = param[2];
618 Float_t chi2 = fitter.GetChisquare()/entries;
619 param0[3] = chi2;
620 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
621 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
622 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
623}
624
625void AliTPCClusterParam::FitRMS1(TTree * tree, Int_t dim, Float_t *param0, Float_t *error){
626 //
627 // Fit z - angular dependence of resolution - pad length scaling
628 //
629 // Int_t dim=0, type=0;
630 char varVal[100];
631 sprintf(varVal,"RMSm:AngleM*Length:Zm");
632 char varErr[100];
633 sprintf(varErr,"sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Pad");
634 char varCut[100];
635 sprintf(varCut,"Dim==%d&&QMean<0",dim);
636 //
637 Int_t entries = tree->Draw(varVal,varCut);
638 Float_t px[10000], py[10000], pz[10000];
639 Float_t type[10000], ey[10000], ez[10000];
640 //
641 tree->Draw(varErr,varCut);
642 for (Int_t ipoint=0; ipoint<entries; ipoint++){
643 type[ipoint] = tree->GetV3()[ipoint];
644 ey[ipoint] = tree->GetV2()[ipoint];
645 ez[ipoint] = tree->GetV1()[ipoint];
646 }
647 tree->Draw(varVal,varCut);
648 for (Int_t ipoint=0; ipoint<entries; ipoint++){
649 px[ipoint]= tree->GetV3()[ipoint];
650 py[ipoint]= tree->GetV2()[ipoint];
651 pz[ipoint]= tree->GetV1()[ipoint];
652 }
653
654 //
655 TLinearFitter fitter(4,"hyp3");
656 for (Int_t ipoint=0; ipoint<entries; ipoint++){
657 Float_t val = pz[ipoint]*pz[ipoint];
658 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
659 Double_t x[3];
660 x[0] = (type[ipoint]<0.5)? 0.:1.;
661 x[1] = px[ipoint];
662 x[2] = py[ipoint]*py[ipoint];
663 fitter.AddPoint(x,val,err);
664 }
665 fitter.Eval();
666 TVectorD param(4);
667 fitter.GetParameters(param);
668 param0[0] = param[0];
669 param0[1] = param[0]+param[1];
670 param0[2] = param[2];
671 param0[3] = param[3];
672 Float_t chi2 = fitter.GetChisquare()/entries;
673 param0[4] = chi2;
674 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
675 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
676 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
677 error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2));
678}
679
680void AliTPCClusterParam::FitRMSQ(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t *error){
681 //
682 // Fit z - angular dependence of resolution - Q scaling
683 //
684 // Int_t dim=0, type=0;
685 char varVal[100];
686 sprintf(varVal,"RMSm:AngleM/sqrt(QMean):Zm/QMean");
687 char varVal0[100];
688 sprintf(varVal0,"RMSm:AngleM:Zm");
689 //
690 char varErr[100];
691 sprintf(varErr,"sqrt((1./(100.*sqrt(12.))^2)+RMSe0^2):AngleS:Zs");
692 char varCut[100];
693 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean>0",dim,type);
694 //
695 Int_t entries = tree->Draw(varVal,varCut);
696 Float_t px[20000], py[20000], pz[20000], pu[20000], pt[20000];
697 Float_t ex[20000], ey[20000], ez[20000];
698 //
699 tree->Draw(varErr,varCut);
700 for (Int_t ipoint=0; ipoint<entries; ipoint++){
701 ex[ipoint]= tree->GetV3()[ipoint];
702 ey[ipoint]= tree->GetV2()[ipoint];
703 ez[ipoint]= tree->GetV1()[ipoint];
704 }
705 tree->Draw(varVal,varCut);
706 for (Int_t ipoint=0; ipoint<entries; ipoint++){
707 px[ipoint]= tree->GetV3()[ipoint];
708 py[ipoint]= tree->GetV2()[ipoint];
709 pz[ipoint]= tree->GetV1()[ipoint];
710 }
711 tree->Draw(varVal0,varCut);
712 for (Int_t ipoint=0; ipoint<entries; ipoint++){
713 pu[ipoint]= tree->GetV3()[ipoint];
714 pt[ipoint]= tree->GetV2()[ipoint];
715 }
716
717 //
718 TLinearFitter fitter(5,"hyp4");
719 for (Int_t ipoint=0; ipoint<entries; ipoint++){
720 Float_t val = pz[ipoint]*pz[ipoint];
721 Float_t err = 2*pz[ipoint]*TMath::Sqrt(ez[ipoint]*ez[ipoint]+fRatio*fRatio*pz[ipoint]*pz[ipoint]);
722 Double_t x[4];
723 x[0] = pu[ipoint];
724 x[1] = pt[ipoint]*pt[ipoint];
725 x[2] = px[ipoint];
726 x[3] = py[ipoint]*py[ipoint];
727 fitter.AddPoint(x,val,err);
728 }
729
730 fitter.Eval();
731 TVectorD param(5);
732 fitter.GetParameters(param);
733 param0[0] = param[0];
734 param0[1] = param[1];
735 param0[2] = param[2];
736 param0[3] = param[3];
737 param0[4] = param[4];
738 Float_t chi2 = fitter.GetChisquare()/entries;
739 param0[5] = chi2;
740 error[0] = (fitter.GetParError(0)*TMath::Sqrt(chi2));
741 error[1] = (fitter.GetParError(1)*TMath::Sqrt(chi2));
742 error[2] = (fitter.GetParError(2)*TMath::Sqrt(chi2));
743 error[3] = (fitter.GetParError(3)*TMath::Sqrt(chi2));
744 error[4] = (fitter.GetParError(4)*TMath::Sqrt(chi2));
745}
746
747
748void AliTPCClusterParam::FitRMSSigma(TTree * tree, Int_t dim, Int_t type, Float_t *param0, Float_t */*error*/){
749 //
750 // Fit z - angular dependence of resolution - Q scaling
751 //
752 // Int_t dim=0, type=0;
753 char varVal[100];
754 sprintf(varVal,"RMSs:RMSm");
755 //
756 char varCut[100];
757 sprintf(varCut,"Dim==%d&&Pad==%d&&QMean<0",dim,type);
758 //
759 Int_t entries = tree->Draw(varVal,varCut);
760 Float_t px[20000], py[20000];
761 //
762 tree->Draw(varVal,varCut);
763 for (Int_t ipoint=0; ipoint<entries; ipoint++){
764 px[ipoint]= tree->GetV2()[ipoint];
765 py[ipoint]= tree->GetV1()[ipoint];
766 }
767 TLinearFitter fitter(2,"pol1");
768 for (Int_t ipoint=0; ipoint<entries; ipoint++){
769 Float_t val = py[ipoint];
770 Float_t err = fRatio*px[ipoint];
771 Double_t x[4];
772 x[0] = px[ipoint];
236a0d03 773 if (err>0) fitter.AddPoint(x,val,err);
12ca5da1 774 }
775 fitter.Eval();
776 param0[0]= fitter.GetParameter(0);
777 param0[1]= fitter.GetParameter(1);
778}
779
780
781
782Float_t AliTPCClusterParam::GetError0(Int_t dim, Int_t type, Float_t z, Float_t angle){
783 //
784 //
785 //
786 Float_t value=0;
787 value += fParamS0[dim][type][0];
788 value += fParamS0[dim][type][1]*z;
789 value += fParamS0[dim][type][2]*angle*angle;
790 value = TMath::Sqrt(TMath::Abs(value));
791 return value;
792}
793
794
795Float_t AliTPCClusterParam::GetError0Par(Int_t dim, Int_t type, Float_t z, Float_t angle){
796 //
797 //
798 //
799 Float_t value=0;
800 value += fParamS0Par[dim][type][0];
801 value += fParamS0Par[dim][type][1]*z;
802 value += fParamS0Par[dim][type][2]*angle*angle;
803 value += fParamS0Par[dim][type][3]*z*z;
804 value += fParamS0Par[dim][type][4]*angle*angle*angle*angle;
805 value += fParamS0Par[dim][type][5]*z*angle*angle;
806 value = TMath::Sqrt(TMath::Abs(value));
807 return value;
808}
809
810
811
812Float_t AliTPCClusterParam::GetError1(Int_t dim, Int_t type, Float_t z, Float_t angle){
813 //
814 //
815 //
816 Float_t value=0;
817 Float_t length=0.75;
818 if (type==1) length=1;
819 if (type==2) length=1.5;
820 value += fParamS1[dim][0];
821 value += fParamS1[dim][1]*z/length;
822 value += fParamS1[dim][2]*angle*angle*length;
823 value = TMath::Sqrt(TMath::Abs(value));
824 return value;
825}
826
827Float_t AliTPCClusterParam::GetErrorQ(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean){
828 //
829 //
830 //
831 Float_t value=0;
832 value += fParamSQ[dim][type][0];
833 value += fParamSQ[dim][type][1]*z;
834 value += fParamSQ[dim][type][2]*angle*angle;
835 value += fParamSQ[dim][type][3]*z/Qmean;
836 value += fParamSQ[dim][type][4]*angle*angle/Qmean;
837 value = TMath::Sqrt(TMath::Abs(value));
838 return value;
839
840
841}
842
843Float_t AliTPCClusterParam::GetErrorQPar(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean){
844 //
845 //
846 //
847 Float_t value=0;
848 value += fParamSQPar[dim][type][0];
849 value += fParamSQPar[dim][type][1]*z;
850 value += fParamSQPar[dim][type][2]*angle*angle;
851 value += fParamSQPar[dim][type][3]*z*z;
852 value += fParamSQPar[dim][type][4]*angle*angle*angle*angle;
853 value += fParamSQPar[dim][type][5]*z*angle*angle;
854 value += fParamSQPar[dim][type][6]*z/Qmean;
855 value += fParamSQPar[dim][type][7]*angle*angle/Qmean;
856 value = TMath::Sqrt(TMath::Abs(value));
857 return value;
858
859
860}
861
862Float_t AliTPCClusterParam::GetErrorQParScaled(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean){
863 //
864 //
865 //
866 Float_t value=0;
867 value += fParamSQPar[dim][type][0];
868 value += fParamSQPar[dim][type][1]*z;
869 value += fParamSQPar[dim][type][2]*angle*angle;
870 value += fParamSQPar[dim][type][3]*z*z;
871 value += fParamSQPar[dim][type][4]*angle*angle*angle*angle;
872 value += fParamSQPar[dim][type][5]*z*angle*angle;
873 value += fParamSQPar[dim][type][6]*z/Qmean;
874 value += fParamSQPar[dim][type][7]*angle*angle/Qmean;
875 Float_t valueMean = GetError0Par(dim,type,z,angle);
876 value -= 0.35*0.35*valueMean*valueMean;
877 value = TMath::Sqrt(TMath::Abs(value));
878 return value;
879
880
881}
882
883Float_t AliTPCClusterParam::GetRMS0(Int_t dim, Int_t type, Float_t z, Float_t angle){
884 //
885 // calculate mean RMS of cluster - z,angle - parameters for each pad and dimension separatelly
886 //
887 Float_t value=0;
888 value += fParamRMS0[dim][type][0];
889 value += fParamRMS0[dim][type][1]*z;
890 value += fParamRMS0[dim][type][2]*angle*angle;
891 value = TMath::Sqrt(TMath::Abs(value));
892 return value;
893}
894
895Float_t AliTPCClusterParam::GetRMS1(Int_t dim, Int_t type, Float_t z, Float_t angle){
896 //
897 // calculate mean RMS of cluster - z,angle - pad length scalling
898 //
899 Float_t value=0;
900 Float_t length=0.75;
901 if (type==1) length=1;
902 if (type==2) length=1.5;
903 if (type==0){
904 value += fParamRMS1[dim][0];
905 }else{
906 value += fParamRMS1[dim][1];
907 }
908 value += fParamRMS1[dim][2]*z;
909 value += fParamRMS1[dim][3]*angle*angle*length*length;
910 value = TMath::Sqrt(TMath::Abs(value));
911 return value;
912}
913
914Float_t AliTPCClusterParam::GetRMSQ(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean){
915 //
916 // calculate mean RMS of cluster - z,angle, Q dependence
917 //
918 Float_t value=0;
919 value += fParamRMSQ[dim][type][0];
920 value += fParamRMSQ[dim][type][1]*z;
921 value += fParamRMSQ[dim][type][2]*angle*angle;
922 value += fParamRMSQ[dim][type][3]*z/Qmean;
923 value += fParamRMSQ[dim][type][4]*angle*angle/Qmean;
924 value = TMath::Sqrt(TMath::Abs(value));
925 return value;
926}
927
928Float_t AliTPCClusterParam::GetRMSSigma(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean){
929 //
930 // calculates RMS of signal shape fluctuation
931 //
932 Float_t mean = GetRMSQ(dim,type,z,angle,Qmean);
933 Float_t value = fRMSSigmaFit[dim][type][0];
934 value+= fRMSSigmaFit[dim][type][1]*mean;
935 return value;
936}
937
938Float_t AliTPCClusterParam::GetShapeFactor(Int_t dim, Int_t type, Float_t z, Float_t angle, Float_t Qmean, Float_t rmsL, Float_t rmsM){
939 //
940 // calculates vallue - sigma distortion contribution
941 //
942 Double_t value =0;
943 //
944 Float_t rmsMeanQ = GetRMSQ(dim,type,z,angle,Qmean);
945 if (rmsL<rmsMeanQ) return value;
946 //
947 Float_t rmsSigma = GetRMSSigma(dim,type,z,angle,Qmean);
948 //
949 if ((rmsM-rmsMeanQ)>2.0*(rmsSigma+fErrorRMSSys[dim])){
950 //1.5 sigma cut on mean
951 value+= rmsL*rmsL+2*rmsM*rmsM-3*rmsMeanQ*rmsMeanQ;
952 }else{
953 if ((rmsL-rmsMeanQ)>3.*(rmsSigma+fErrorRMSSys[dim])){
954 //3 sigma cut on local
955 value+= rmsL*rmsL-rmsMeanQ*rmsMeanQ;
956 }
957 }
8076baa0 958 return TMath::Sqrt(TMath::Abs(value));
12ca5da1 959}
960
961
962
963void AliTPCClusterParam::FitData(TTree * tree){
964 //
965 // make fits for error param and shape param
966 //
967 FitResol(tree);
968 FitRMS(tree);
969
970}
971
972void AliTPCClusterParam::FitResol(TTree * tree){
973 //
974 SetInstance(this);
975 for (Int_t idir=0;idir<2; idir++){
976 for (Int_t itype=0; itype<3; itype++){
977 Float_t param0[10];
978 Float_t error0[10];
979 // model error param
980 FitResol0(tree, idir, itype,param0,error0);
981 printf("\nResol\t%d\t%d\tchi2=%f\n",idir,itype,param0[3]);
982 printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]);
983 printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]);
984 for (Int_t ipar=0;ipar<4; ipar++){
985 fParamS0[idir][itype][ipar] = param0[ipar];
986 fErrorS0[idir][itype][ipar] = param0[ipar];
987 }
988 // error param with parabolic correction
989 FitResol0Par(tree, idir, itype,param0,error0);
990 printf("\nResolPar\t%d\t%d\tchi2=%f\n",idir,itype,param0[6]);
991 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]);
992 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]);
993 for (Int_t ipar=0;ipar<7; ipar++){
994 fParamS0Par[idir][itype][ipar] = param0[ipar];
995 fErrorS0Par[idir][itype][ipar] = param0[ipar];
996 }
997 //
998 FitResolQ(tree, idir, itype,param0,error0);
999 printf("\nResolQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[5]);
1000 printf("%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4]);
1001 printf("%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4]);
1002 for (Int_t ipar=0;ipar<6; ipar++){
1003 fParamSQ[idir][itype][ipar] = param0[ipar];
1004 fErrorSQ[idir][itype][ipar] = param0[ipar];
1005 }
1006 //
1007 FitResolQPar(tree, idir, itype,param0,error0);
1008 printf("\nResolQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[8]);
1009 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]);
1010 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]);
1011 for (Int_t ipar=0;ipar<9; ipar++){
1012 fParamSQPar[idir][itype][ipar] = param0[ipar];
1013 fErrorSQPar[idir][itype][ipar] = param0[ipar];
1014 }
1015 }
1016 }
1017 //
1018 printf("Resol z-scaled\n");
1019 for (Int_t idir=0;idir<2; idir++){
1020 Float_t param0[4];
1021 Float_t error0[4];
1022 FitResol1(tree, idir,param0,error0);
1023 printf("\nResol\t%d\tchi2=%f\n",idir,param0[3]);
1024 printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]);
1025 printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]);
1026 for (Int_t ipar=0;ipar<4; ipar++){
1027 fParamS1[idir][ipar] = param0[ipar];
1028 fErrorS1[idir][ipar] = param0[ipar];
1029 }
1030 }
1031
1032 for (Int_t idir=0;idir<2; idir++){
1033 printf("\nDirection %d\n",idir);
1034 printf("%d\t%f\t%f\t%f\n", -1,fParamS1[idir][0],fParamS1[idir][1],fParamS1[idir][2]);
1035 for (Int_t itype=0; itype<3; itype++){
1036 Float_t length=0.75;
1037 if (itype==1) length=1;
1038 if (itype==2) length=1.5;
1039 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));
1040 }
1041 }
1042}
1043
1044
1045
1046void AliTPCClusterParam::FitRMS(TTree * tree){
1047 //
1048 SetInstance(this);
1049 for (Int_t idir=0;idir<2; idir++){
1050 for (Int_t itype=0; itype<3; itype++){
1051 Float_t param0[6];
1052 Float_t error0[6];
1053 FitRMS0(tree, idir, itype,param0,error0);
1054 printf("\nRMS\t%d\t%d\tchi2=%f\n",idir,itype,param0[3]);
1055 printf("%f\t%f\t%f\n", param0[0],param0[1],param0[2]);
1056 printf("%f\t%f\t%f\n", error0[0],error0[1],error0[2]);
1057 for (Int_t ipar=0;ipar<4; ipar++){
1058 fParamRMS0[idir][itype][ipar] = param0[ipar];
1059 fErrorRMS0[idir][itype][ipar] = param0[ipar];
1060 }
1061 FitRMSQ(tree, idir, itype,param0,error0);
1062 printf("\nRMSQ\t%d\t%d\tchi2=%f\n",idir,itype,param0[5]);
1063 printf("%f\t%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2],param0[3],param0[4]);
1064 printf("%f\t%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2],error0[3],error0[4]);
1065 for (Int_t ipar=0;ipar<6; ipar++){
1066 fParamRMSQ[idir][itype][ipar] = param0[ipar];
1067 fErrorRMSQ[idir][itype][ipar] = param0[ipar];
1068 }
1069 }
1070 }
1071 //
1072 printf("RMS z-scaled\n");
1073 for (Int_t idir=0;idir<2; idir++){
1074 Float_t param0[5];
1075 Float_t error0[5];
1076 FitRMS1(tree, idir,param0,error0);
1077 printf("\nRMS\t%d\tchi2=%f\n",idir,param0[4]);
1078 printf("%f\t%f\t%f\t%f\n", param0[0],param0[1],param0[2], param0[3]);
1079 printf("%f\t%f\t%f\t%f\n", error0[0],error0[1],error0[2], error0[3]);
1080 for (Int_t ipar=0;ipar<5; ipar++){
1081 fParamRMS1[idir][ipar] = param0[ipar];
1082 fErrorRMS1[idir][ipar] = param0[ipar];
1083 }
1084 }
1085
1086 for (Int_t idir=0;idir<2; idir++){
1087 printf("\nDirection %d\n",idir);
1088 printf("%d\t%f\t%f\t%f\t%f\n", -1,fParamRMS1[idir][0],fParamRMS1[idir][1],fParamRMS1[idir][2], fParamRMS1[idir][3]);
1089 for (Int_t itype=0; itype<3; itype++){
1090 Float_t length=0.75;
1091 if (itype==1) length=1;
1092 if (itype==2) length=1.5;
1093 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);
1094 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);
1095 }
1096 }
1097 //
1098 // Fit RMS sigma
1099 //
1100 printf("RMS fluctuation parameterization \n");
1101 for (Int_t idir=0;idir<2; idir++){
1102 for (Int_t itype=0; itype<3; itype++){
1103 Float_t param0[5];
1104 Float_t error0[5];
1105 FitRMSSigma(tree, idir,itype,param0,error0);
1106 printf("\t%d\t%d\t%f\t%f\n", idir, itype, param0[0],param0[1]);
1107 for (Int_t ipar=0;ipar<2; ipar++){
1108 fRMSSigmaFit[idir][itype][ipar] = param0[ipar];
1109 }
1110 }
1111 }
1112 //
1113 // store systematic error end RMS fluctuation parameterization
1114 //
1115 TH1F hratio("hratio","hratio",100,-0.1,0.1);
1116 tree->Draw("(RMSm-AliTPCClusterParam::SGetRMSQ(Dim,Pad,Zm,AngleM,QMean))/RMSm>>hratio","Dim==0&&QMean>0");
1117 fErrorRMSSys[0] = hratio.GetRMS();
1118 tree->Draw("(RMSm-AliTPCClusterParam::SGetRMSQ(Dim,Pad,Zm,AngleM,QMean))/RMSm>>hratio","Dim==1&&QMean>0");
1119 fErrorRMSSys[1] = hratio.GetRMS();
1120 TH1F hratioR("hratioR","hratioR",100,0,0.2);
1121 tree->Draw("RMSs/RMSm>>hratioR","Dim==0&&QMean>0");
1122 fRMSSigmaRatio[0][0]=hratioR.GetMean();
1123 fRMSSigmaRatio[0][1]=hratioR.GetRMS();
1124 tree->Draw("RMSs/RMSm>>hratioR","Dim==1&&QMean>0");
1125 fRMSSigmaRatio[1][0]=hratioR.GetMean();
1126 fRMSSigmaRatio[1][1]=hratioR.GetRMS();
1127}
1128
1129void AliTPCClusterParam::Test(TTree * tree, const char *output){
1130 //
1131 // Draw standard quality histograms to output file
1132 //
1133 SetInstance(this);
1134 TFile f(output,"recreate");
1135 f.cd();
1136 //
1137 // 1D histograms - resolution
1138 //
1139 for (Int_t idim=0; idim<2; idim++){
1140 for (Int_t ipad=0; ipad<3; ipad++){
1141 char hname1[300];
1142 char hcut1[300];
1143 char hexp1[300];
1144 //
1145 sprintf(hname1,"Delta0 Dir %d Pad %d",idim,ipad);
1146 sprintf(hcut1,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad);
1147 sprintf(hexp1,"(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol>>%s",hname1);
1148 TH1F his1DRel0(hname1, hname1, 100,-0.2, 0.2);
1149 sprintf(hname1,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad);
1150 tree->Draw(hexp1,hcut1,"");
1151 his1DRel0.Write();
1152 //
1153 sprintf(hname1,"Delta0Par Dir %d Pad %d",idim,ipad);
1154 sprintf(hcut1,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad);
1155 sprintf(hexp1,"(Resol-AliTPCClusterParam::SGetError0Par(Dim,Pad,Zm,AngleM))/Resol>>%s",hname1);
1156 TH1F his1DRel0Par(hname1, hname1, 100,-0.2, 0.2);
1157 sprintf(hname1,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad);
1158 tree->Draw(hexp1,hcut1,"");
1159 his1DRel0Par.Write();
1160 //
1161 }
1162 }
1163 //
1164 // 2D histograms - resolution
1165 //
1166 for (Int_t idim=0; idim<2; idim++){
1167 for (Int_t ipad=0; ipad<3; ipad++){
1168 char hname1[300];
1169 char hcut1[300];
1170 char hexp1[300];
1171 //
1172 sprintf(hname1,"2DDelta0 Dir %d Pad %d",idim,ipad);
1173 sprintf(hcut1,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad);
1174 sprintf(hexp1,"(Resol-AliTPCClusterParam::SGetError0(Dim,Pad,Zm,AngleM))/Resol:AngleM:Zm>>%s",hname1);
1175 TProfile2D profDRel0(hname1, hname1, 6,0,250,6,0,1);
1176 sprintf(hname1,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad);
1177 tree->Draw(hexp1,hcut1,"");
1178 profDRel0.Write();
1179 //
1180 sprintf(hname1,"2DDelta0Par Dir %d Pad %d",idim,ipad);
1181 sprintf(hcut1,"Dim==%d&&QMean<0&&Pad==%d",idim,ipad);
1182 sprintf(hexp1,"(Resol-AliTPCClusterParam::SGetError0Par(Dim,Pad,Zm,AngleM))/Resol:AngleM:Zm>>%s",hname1);
1183 TProfile2D profDRel0Par(hname1, hname1,6,0,250,6,0,1);
1184 sprintf(hname1,"Dim==%d&&QMean<0&&Pad=%d",idim,ipad);
1185 tree->Draw(hexp1,hcut1,"");
1186 profDRel0Par.Write();
1187 //
1188 }
1189 }
1190}
1191
1192
1193
1194void AliTPCClusterParam::Print(Option_t* /*option*/) const{
1195 //
1196 // Print param Information
1197 //
1198
1199 //
1200 // Error parameterization
1201 //
1202 printf("\nResolution Scaled factors\n");
1203 printf("Dir\tPad\tP0\t\tP1\t\tP2\t\tchi2\n");
8076baa0 1204 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])),
1205 TMath::Sqrt(TMath::Abs(fParamS1[0][2])),TMath::Sqrt(TMath::Abs(fParamS1[0][3])));
12ca5da1 1206 for (Int_t ipad=0; ipad<3; ipad++){
1207 Float_t length=0.75;
1208 if (ipad==1) length=1;
1209 if (ipad==2) length=1.5;
1210 printf("\t%d\t%f\t%f\t%f\t%f\n", ipad,
1211 TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][0])),
8076baa0 1212 TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][1]*length)),
1213 TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][2]/length)),
1214 TMath::Sqrt(TMath::Abs(fParamS0[0][ipad][3])));
12ca5da1 1215 }
1216 for (Int_t ipad=0; ipad<3; ipad++){
1217 Float_t length=0.75;
1218 if (ipad==1) length=1;
1219 if (ipad==2) length=1.5;
1220 printf("\t%dPar\t%f\t%f\t%f\t%f\n", ipad,
1221 TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][0])),
8076baa0 1222 TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][1]*length)),
1223 TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][2]/length)),
1224 TMath::Sqrt(TMath::Abs(fParamS0Par[0][ipad][6])));
12ca5da1 1225 }
1226 printf("Z\tall\t%f\t%f\t%f\t%f\n", TMath::Sqrt(TMath::Abs(fParamS1[1][0])),TMath::Sqrt(fParamS1[1][1]),
1227 TMath::Sqrt(fParamS1[1][2]), TMath::Sqrt(fParamS1[1][3]));
1228
1229 for (Int_t ipad=0; ipad<3; ipad++){
1230 Float_t length=0.75;
1231 if (ipad==1) length=1;
1232 if (ipad==2) length=1.5;
1233 printf("\t%d\t%f\t%f\t%f\t%f\n", ipad,
1234 TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][0])),
8076baa0 1235 TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][1]*length)),
1236 TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][2]/length)),
1237 TMath::Sqrt(TMath::Abs(fParamS0[1][ipad][3])));
12ca5da1 1238 }
1239 for (Int_t ipad=0; ipad<3; ipad++){
1240 Float_t length=0.75;
1241 if (ipad==1) length=1;
1242 if (ipad==2) length=1.5;
1243 printf("\t%dPar\t%f\t%f\t%f\t%f\n", ipad,
8076baa0 1244 TMath::Sqrt(TMath::Abs(TMath::Abs(fParamS0Par[1][ipad][0]))),
1245 TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][1]*length)),
1246 TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][2]/length)),
1247 TMath::Sqrt(TMath::Abs(fParamS0Par[1][ipad][6])));
12ca5da1 1248 }
1249
1250 //
1251 // RMS scaling
1252 //
1253 printf("\n");
1254 printf("\nRMS Scaled factors\n");
1255 printf("Dir\tPad\tP00\t\tP01\t\tP1\t\tP2\t\tchi2\n");
8076baa0 1256 printf("Y\tall\t%f\t%f\t%f\t%f\t%f\n",
1257 TMath::Sqrt(TMath::Abs(fParamRMS1[0][0])),
1258 TMath::Sqrt(TMath::Abs(fParamRMS1[0][1])),
1259 TMath::Sqrt(TMath::Abs(fParamRMS1[0][2])),
1260 TMath::Sqrt(TMath::Abs(fParamRMS1[0][3])),
1261 TMath::Sqrt(TMath::Abs(fParamRMS1[0][4])));
12ca5da1 1262 for (Int_t ipad=0; ipad<3; ipad++){
1263 Float_t length=0.75;
1264 if (ipad==1) length=1;
1265 if (ipad==2) length=1.5;
1266 if (ipad==0){
1267 printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad,
1268 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][0])),
1269 0.,
8076baa0 1270 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][1])),
1271 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][2]/(length*length))),
1272 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][3])));
12ca5da1 1273 }else{
1274 printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad,
1275 0.,
1276 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][0])),
8076baa0 1277 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][1])),
1278 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][2]/(length*length))),
1279 TMath::Sqrt(TMath::Abs(fParamRMS0[0][ipad][3])));
12ca5da1 1280 }
1281 }
1282 printf("\n");
8076baa0 1283 printf("Z\tall\t%f\t%f\t%f\t%f\t%f\n",
1284 TMath::Sqrt(TMath::Abs(fParamRMS1[1][0])),
1285 TMath::Sqrt(TMath::Abs(fParamRMS1[1][1])),
1286 TMath::Sqrt(TMath::Abs(fParamRMS1[1][2])),
1287 TMath::Sqrt(TMath::Abs(fParamRMS1[1][3])),
1288 TMath::Sqrt(TMath::Abs(fParamRMS1[1][4])));
12ca5da1 1289 for (Int_t ipad=0; ipad<3; ipad++){
1290 Float_t length=0.75;
1291 if (ipad==1) length=1;
1292 if (ipad==2) length=1.5;
1293 if (ipad==0){
1294 printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad,
1295 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][0])),
1296 0.,
8076baa0 1297 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][1])),
1298 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][2]/(length*length))),
1299 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][3])));
12ca5da1 1300 }else{
1301 printf("\t%d\t%f\t%f\t%f\t%f\t%f\n", ipad,
1302 0.,
1303 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][0])),
8076baa0 1304 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][1])),
1305 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][2]/(length*length))),
1306 TMath::Sqrt(TMath::Abs(fParamRMS0[1][ipad][3])));
12ca5da1 1307 }
1308 }
1309}
1310
1311
1312
1313
1314
0a65832b 1315Float_t AliTPCClusterParam::Qnorm(Int_t ipad, Int_t itype, Float_t dr, Float_t ty, Float_t tz){
1316 // get Q normalization
1317 // type - 0 Qtot 1 Qmax
1318 // ipad - 0 (0.75 cm) ,1 (1 cm), 2 (1.5 cm)
1319 //
f1afff3b 1320 //expession formula - TString *strq0 = toolkit.FitPlane(chain,"dedxQ.fElements[2]","dr++ty++tz++dr*ty++dr*tz++ty*tz++ty^2++tz^2","IPad==0",chi2,npoints,param,covar,0,100000);
1321
f1c2a4a3 1322 if (fQNorm==0) return 0;
0a65832b 1323 TVectorD * norm = (TVectorD*)fQNorm->At(3*itype+ipad);
1324 if (!norm) return 0;
f1afff3b 1325 TVectorD &no = *norm;
684602c8 1326 Float_t res =
1327 no[0]+
f1afff3b 1328 no[1]*dr+
1329 no[2]*ty+
1330 no[3]*tz+
1331 no[4]*dr*ty+
1332 no[5]*dr*tz+
1333 no[6]*ty*tz+
1334 no[7]*dr*dr+
1335 no[8]*ty*ty+
1336 no[9]*tz*tz;
1337 res/=no[0];
0a65832b 1338 return res;
1339}
1340
1341
1342
1343void AliTPCClusterParam::SetQnorm(Int_t ipad, Int_t itype, TVectorD * norm){
1344 //
1345 // set normalization
1346 //
1347 // type - 0 Qtot 1 Qmax
1348 // ipad - 0 (0.75 cm) ,1 (1 cm), 2 (1.5 cm)
1349 //
1350
1351 if (fQNorm==0) fQNorm = new TObjArray(6);
1352 fQNorm->AddAt(new TVectorD(*norm), itype*3+ipad);
1353}
236a0d03 1354
b17540e4 1355Float_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){
1356 //
1357 // Make Q normalization as function of following parameters
1358 // Fit parameters to be used in corresponding correction function extracted in the AliTPCclaibTracksGain - Taylor expansion
1359 // 1 - dp - relative pad position
1360 // 2 - dt - relative time position
1361 // 3 - di - drift length (norm to 1);
1362 // 4 - dq0 - Tot/Max charge
1363 // 5 - dq1 - Max/Tot charge
1364 // 6 - sy - sigma y - shape
1365 // 7 - sz - sigma z - shape
1366 //
1367
1368 //The results can be visualized using the debug streamer information of the AliTPCcalibTracksGain -
1369 // Following variable used - correspondance to the our variable conventions
1370 //chain0->SetAlias("dp","((Cl.fPad-int(Cl.fPad)-0.5)/0.5)");
1371 Double_t dp = ((pad-int(pad)-0.5)*2.);
1372 //chain0->SetAlias("dt","((Cl.fTimeBin-int(Cl.fTimeBin)-0.5)/0.5)");
1373 Double_t dt = ((time-int(time)-0.5)*2.);
1374 //chain0->SetAlias("di","(sqrt(1.-abs(Cl.fZ)/250.))");
1375 Double_t di = TMath::Sqrt(1-TMath::Abs(z)/250.);
1376 //chain0->SetAlias("dq0","(0.2*(Cl.fQ+2)/(Cl.fMax+2))");
1377 Double_t dq0 = 0.2*(qt+2.)/(qm+2.);
1378 //chain0->SetAlias("dq1","(5*(Cl.fMax+2)/(Cl.fQ+2))");
1379 Double_t dq1 = 5.*(qm+2.)/(qt+2.);
1380 //chain0->SetAlias("sy","(0.32/sqrt(0.01^2+Cl.fSigmaY2))");
1381 Double_t sy = 0.32/TMath::Sqrt(0.01*0.01+sy2);
1382 //chain0->SetAlias("sz","(0.32/sqrt(0.01^2+Cl.fSigmaZ2))");
1383 Double_t sz = 0.32/TMath::Sqrt(0.01*0.01+sz2);
1384 //
1385 //
1386 //
1387 TVectorD * pvec = 0;
1388 if (isMax){
1389 pvec = fPosQMnorm[ipad];
1390 }else{
1391 pvec = fPosQTnorm[ipad];
1392 }
1393 TVectorD &param = *pvec;
1394 //
1395 // Eval part - in correspondance with fit part from debug streamer
1396 //
1397 Double_t result=param[0];
1398 Int_t index =1;
1399 //
1400 result+=dp*param[index++]; //1
1401 result+=dt*param[index++]; //2
1402 result+=dp*dp*param[index++]; //3
1403 result+=dt*dt*param[index++]; //4
1404 result+=dt*dt*dt*param[index++]; //5
1405 result+=dp*dt*param[index++]; //6
1406 result+=dp*dt*dt*param[index++]; //7
1407 result+=(dq0)*param[index++]; //8
1408 result+=(dq1)*param[index++]; //9
1409 //
1410 //
1411 result+=dp*dp*(di)*param[index++]; //10
1412 result+=dt*dt*(di)*param[index++]; //11
1413 result+=dp*dp*sy*param[index++]; //12
1414 result+=dt*sz*param[index++]; //13
1415 result+=dt*dt*sz*param[index++]; //14
1416 result+=dt*dt*dt*sz*param[index++]; //15
1417 //
1418 result+=dp*dp*1*sy*sz*param[index++]; //16
1419 result+=dt*sy*sz*param[index++]; //17
1420 result+=dt*dt*sy*sz*param[index++]; //18
1421 result+=dt*dt*dt*sy*sz*param[index++]; //19
1422 //
1423 result+=dp*dp*(dq0)*param[index++]; //20
1424 result+=dt*1*(dq0)*param[index++]; //21
1425 result+=dt*dt*(dq0)*param[index++]; //22
1426 result+=dt*dt*dt*(dq0)*param[index++]; //23
1427 //
1428 result+=dp*dp*(dq1)*param[index++]; //24
1429 result+=dt*(dq1)*param[index++]; //25
1430 result+=dt*dt*(dq1)*param[index++]; //26
1431 result+=dt*dt*dt*(dq1)*param[index++]; //27
1432
2e5bcb67 1433 if (result<0.75) result=0.75;
1434 if (result>1.25) result=1.25;
1435
b17540e4 1436 return result;
1437
1438}
236a0d03 1439
1440
1441
236a0d03 1442
236a0d03 1443
bf97e1c4 1444Float_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 1445
1446 //
1447 // Make postion correction
1448 // type - 0 - y correction
1449 // 1 - z correction
1450 // ipad - 0, 1, 2 - short, medium long pads
1451 // pad - float pad number
1452 // time - float time bin number
1453 // z - z of the cluster
2e5bcb67 1454
1455 //
1456 //chainres->SetAlias("dp","(-1+(Cl.fZ>0)*2)*((Cl.fPad-int(Cl.fPad))-0.5)");
1457 //chainres->SetAlias("dt","(-1+(Cl.fZ>0)*2)*((Cl.fTimeBin-0.66-int(Cl.fTimeBin-0.66))-0.5)");
1458 //chainres->SetAlias("sp","(sin(dp*pi)-dp*pi)");
1459 //chainres->SetAlias("st","(sin(dt)-dt)");
1460 //
1461 //chainres->SetAlias("di","sqrt(1.-abs(Cl.fZ/250.))");
2e5bcb67 1462
1463 //
1464 // Derived variables
1465 //
1466 Double_t dp = (-1+(z>0)*2)*((pad-int(pad))-0.5);
1467 Double_t dt = (-1+(z>0)*2)*((time-0.66-int(time-0.66))-0.5);
1468 Double_t sp = (TMath::Sin(dp*TMath::Pi())-dp*TMath::Pi());
1469 Double_t st = (TMath::Sin(dt)-dt);
1470 //
bf97e1c4 1471 Double_t di = TMath::Sqrt(TMath::Abs(1.-TMath::Abs(z/250.)));
2e5bcb67 1472 //
1473 //
1474 //
1475 TVectorD * pvec = 0;
1476 if (type==0){
1477 pvec = fPosYcor[ipad];
1478 }else{
1479 pvec = fPosZcor[ipad];
1480 }
1481 TVectorD &param = *pvec;
1482 //
bf97e1c4 1483 Double_t result=0;
2e5bcb67 1484 Int_t index =1;
1485
1486 if (type==0){
1487 // y corr
1488 result+=(dp)*param[index++]; //1
1489 result+=(dp)*di*param[index++]; //2
2e5bcb67 1490 //
bf97e1c4 1491 result+=(sp)*param[index++]; //3
1492 result+=(sp)*di*param[index++]; //4
2e5bcb67 1493 }
1494 if (type==1){
1495 result+=(dt)*param[index++]; //1
1496 result+=(dt)*di*param[index++]; //2
2e5bcb67 1497 //
bf97e1c4 1498 result+=(st)*param[index++]; //3
1499 result+=(st)*di*param[index++]; //4
2e5bcb67 1500 }
bf97e1c4 1501 if (TMath::Abs(result)>0.05) return 0;
2e5bcb67 1502 return result;
1503}
1504
1505
1506