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Corrected association algortihtm
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9318a5b4 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// //
19// Class to make a internal alignemnt of TPC chambers //
20//
967eae0d 21// Requierements - Warnings:
22// 1. Before using this componenent the magnetic filed has to be set properly //
1c1a1176 23// 2. The systematic effects - unlinearities has to be understood
967eae0d 24//
1c1a1176 25// If systematic and unlinearities are not under control
26// the alignment is just effective alignment. Not second order corrction
27// are calculated.
28//
29// The histograming of the edge effects and unlineratities integral part
30// of the component (currently only in debug stream)
31//
32// 3 general type of linear transformation investigated (see bellow)
33//
34// By default only 6 parameter alignment to be used - other just for QA purposes
f8a2dcfb 35
1c1a1176 36// Different linear tranformation investigated
972cf6f2 37// 12 parameters - arbitrary linear transformation
f8a2dcfb 38// a00 a01 a02 a03 p[0] p[1] p[2] p[9]
39// a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
40// a20 a21 a22 a23 p[6] p[7] p[8] p[11]
41//
9318a5b4 42// 9 parameters - scaling fixed to 1
f8a2dcfb 43// a00 a01 a02 a03 1 p[0] p[1] p[6]
44// a10 a11 a12 a13 ==> p[2] 1 p[3] p[7]
45// a20 a21 a22 a23 p[4] p[5] 1 p[8]
46//
972cf6f2 47// 6 parameters - x-y rotation x-z, y-z tiliting
f8a2dcfb 48// a00 a01 a02 a03 1 -p[0] 0 p[3]
49// a10 a11 a12 a13 ==> p[0] 1 0 p[4]
50// a20 a21 a22 a23 p[1] p[2] 1 p[5]
51//
1c1a1176 52//
53// Debug stream supported
54// 0. Align - The main output of the Alignment component
55// - Used for visualization of the misalignment between sectors
56// - Results of the missalignment fit and the mean and sigmas of histograms
57// stored there
58// 1. Tracklet - StreamLevel >1
59// - Dump all information about tracklet match from sector1 to sector 2
60// - Default histogram residulas created in parallel
61// - Check this streamer in case of suspicious content of these histograms
62// 2. Track - StreamLevel>5
63// - For debugging of the edge effects
64// - All information - extrapolation inside of one sectors
65// - Created in order to distinguish between unlinearities inside of o
66// sector and missalignment
67
68//
69
9318a5b4 70////
71////
72
73#include "TLinearFitter.h"
74#include "AliTPCcalibAlign.h"
75#include "AliExternalTrackParam.h"
e4042305 76#include "AliTPCTracklet.h"
77#include "TH1D.h"
7eaa723e 78#include "TVectorD.h"
e149f26d 79#include "TTreeStream.h"
7eaa723e 80#include "TFile.h"
e81dc112 81#include "TF1.h"
8b3c60d8 82#include "TGraphErrors.h"
967eae0d 83#include "AliTPCclusterMI.h"
84#include "AliTPCseed.h"
85#include "AliTracker.h"
86#include "TClonesArray.h"
9318a5b4 87
8b3c60d8 88
89#include "TTreeStream.h"
9318a5b4 90#include <iostream>
e4042305 91#include <sstream>
9318a5b4 92using namespace std;
93
94ClassImp(AliTPCcalibAlign)
95
96AliTPCcalibAlign::AliTPCcalibAlign()
e4042305 97 : fDphiHistArray(72*72),
98 fDthetaHistArray(72*72),
99 fDyHistArray(72*72),
100 fDzHistArray(72*72),
101 fFitterArray12(72*72),
102 fFitterArray9(72*72),
103 fFitterArray6(72*72)
9318a5b4 104{
105 //
106 // Constructor
107 //
108 for (Int_t i=0;i<72*72;++i) {
109 fPoints[i]=0;
110 }
111}
112
e149f26d 113AliTPCcalibAlign::AliTPCcalibAlign(const Text_t *name, const Text_t *title)
114 :AliTPCcalibBase(),
115 fDphiHistArray(72*72),
116 fDthetaHistArray(72*72),
117 fDyHistArray(72*72),
118 fDzHistArray(72*72),
119 fFitterArray12(72*72),
120 fFitterArray9(72*72),
121 fFitterArray6(72*72)
122{
123 //
124 // Constructor
125 //
126 SetName(name);
127 SetTitle(title);
128 for (Int_t i=0;i<72*72;++i) {
129 fPoints[i]=0;
130 }
131}
132
9318a5b4 133AliTPCcalibAlign::~AliTPCcalibAlign() {
134 //
135 // destructor
136 //
137}
138
e4042305 139void AliTPCcalibAlign::Process(AliTPCseed *seed) {
140 TObjArray tracklets=
141 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kKalman,
142 kFALSE,20,2);
cbc19295 143 // TObjArray trackletsL=
144// AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kLinear,
145// kFALSE,20,2);
146// TObjArray trackletsQ=
147// AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kQuadratic,
148// kFALSE,20,2);
149// TObjArray trackletsR=
150// AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kRiemann,
151// kFALSE,20,2);
e4042305 152 tracklets.SetOwner();
cbc19295 153 // trackletsL.SetOwner();
154// trackletsQ.SetOwner();
155// trackletsR.SetOwner();
e4042305 156 if (tracklets.GetEntries()==2) {
157 AliTPCTracklet *t1=static_cast<AliTPCTracklet*>(tracklets[0]);
158 AliTPCTracklet *t2=static_cast<AliTPCTracklet*>(tracklets[1]);
159 if (t1->GetSector()>t2->GetSector()) {
160 AliTPCTracklet* tmp=t1;
161 t1=t2;
162 t2=tmp;
163 }
164 AliExternalTrackParam *common1=0,*common2=0;
165 if (AliTPCTracklet::PropagateToMeanX(*t1,*t2,common1,common2))
967eae0d 166 ProcessTracklets(*common1,*common2,seed, t1->GetSector(),t2->GetSector());
e4042305 167 delete common1;
168 delete common2;
169 }
cbc19295 170
e4042305 171}
172
7eaa723e 173void AliTPCcalibAlign::Analyze(){
174 //
175 // Analyze function
176 //
177 EvalFitters();
178}
179
180
181void AliTPCcalibAlign::Terminate(){
182 //
183 // Terminate function
184 // call base terminate + Eval of fitters
185 //
967eae0d 186 if (GetDebugLevel()>0) Info("AliTPCcalibAlign","Terminate");
7eaa723e 187 EvalFitters();
188 AliTPCcalibBase::Terminate();
189}
190
191
192
193
e4042305 194void AliTPCcalibAlign::ProcessTracklets(const AliExternalTrackParam &tp1,
195 const AliExternalTrackParam &tp2,
967eae0d 196 const AliTPCseed * seed,
e4042305 197 Int_t s1,Int_t s2) {
198
972cf6f2 199 //
200 //
201 //
8b3c60d8 202 //
9318a5b4 203 //
204 // Process function to fill fitters
205 //
206 Double_t t1[5],t2[5];
207 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
7eaa723e 208 Double_t &x2=t2[0], &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 209 x1 =tp1.GetX();
210 y1 =tp1.GetY();
211 z1 =tp1.GetZ();
212 Double_t snp1=tp1.GetSnp();
213 dydx1=snp1/TMath::Sqrt(1.-snp1*snp1);
214 Double_t tgl1=tp1.GetTgl();
215 // dz/dx = 1/(cos(theta)*cos(phi))
7eaa723e 216 dzdx1=tgl1/TMath::Sqrt(1.-snp1*snp1);
217 x2 =tp2.GetX();
9318a5b4 218 y2 =tp2.GetY();
219 z2 =tp2.GetZ();
220 Double_t snp2=tp2.GetSnp();
221 dydx2=snp2/TMath::Sqrt(1.-snp2*snp2);
222 Double_t tgl2=tp2.GetTgl();
7eaa723e 223 dzdx2=tgl2/TMath::Sqrt(1.-snp2*snp2);
7eaa723e 224 //
225 //
226 //
227 if (fStreamLevel>1){
228 TTreeSRedirector *cstream = GetDebugStreamer();
229 if (cstream){
230 static TVectorD vec1(5);
231 static TVectorD vec2(5);
232 vec1.SetElements(t1);
233 vec2.SetElements(t2);
234 AliExternalTrackParam *p1 = &((AliExternalTrackParam&)tp1);
235 AliExternalTrackParam *p2 = &((AliExternalTrackParam&)tp2);
236 (*cstream)<<"Tracklet"<<
237 "tp1.="<<p1<<
238 "tp2.="<<p2<<
239 "v1.="<<&vec1<<
240 "v2.="<<&vec2<<
241 "s1="<<s1<<
242 "s2="<<s2<<
243 "\n";
244 }
245 }
8b3c60d8 246 //
247 // Aplly cut selection
248 /*
249 // Cuts to be justified with the debug streamer
250 //
7b18d067 251 TCut c1pt("abs((tp1.fP[4]+tp2.fP[4])*0.5)<3"); // pt cut - OK
252 TCut cdy("abs(tp1.fP[0]-tp2.fP[0])<2");
253 TCut cdz("abs(tp1.fP[1]-tp2.fP[1])<2");
254 TCut cdphi("abs(tp1.fP[2]-tp2.fP[2])<0.02");
255 TCut cdt("abs(tp1.fP[3]-tp2.fP[3])<0.02");
256 TCut cd1pt("abs(tp1.fP[4]-tp2.fP[4])<0.3"); // delta 1/pt cut -OK
8b3c60d8 257 //
258 //
7b18d067 259 TCut acut = c1pt+cdy+cdz+cdphi+cdt+cd1pt;
8b3c60d8 260 */
261 // 1. pt cut
7b18d067 262 // 2. dy
263 // 3. dz
264 // 4. dphi
265 // 5. dtheta
266 // 6. d1pt
267
268 if (TMath::Abs(tp1.GetParameter()[0]-tp2.GetParameter()[0])>2) return;
269 if (TMath::Abs(tp1.GetParameter()[1]-tp2.GetParameter()[1])>2) return;
270 if (TMath::Abs(tp1.GetParameter()[2]-tp2.GetParameter()[2])>0.02) return;
271 if (TMath::Abs(tp1.GetParameter()[3]-tp2.GetParameter()[3])>0.02) return;
272 if (TMath::Abs(tp1.GetParameter()[4]-tp2.GetParameter()[4])>0.3) return;
273 if (TMath::Abs((tp1.GetParameter()[4]+tp2.GetParameter()[4])*0.5)<3) return;
8b3c60d8 274 //
275 // fill resolution histograms - previous cut included
276 FillHisto(tp1,tp2,s1,s2);
277 //
9318a5b4 278 Process12(t1,t2,GetOrMakeFitter12(s1,s2));
7eaa723e 279 Process9(t1,t2,GetOrMakeFitter9(s1,s2));
280 Process6(t1,t2,GetOrMakeFitter6(s1,s2));
967eae0d 281 ProcessDiff(tp1,tp2, seed,s1,s2);
e81dc112 282 ++fPoints[GetIndex(s1,s2)];
9318a5b4 283}
284
967eae0d 285void AliTPCcalibAlign::ProcessDiff(const AliExternalTrackParam &t1,
286 const AliExternalTrackParam &t2,
287 const AliTPCseed *seed,
288 Int_t s1,Int_t s2)
289{
290 //
291 // Process local residuals function
292 //
293 TVectorD vecX(160);
294 TVectorD vecY(160);
295 TVectorD vecZ(160);
296 TVectorD vecClY(160);
297 TVectorD vecClZ(160);
298 TClonesArray arrCl("AliTPCclusterMI",160);
299 arrCl.ExpandCreateFast(160);
300 Int_t count1=0, count2=0;
301 for (Int_t i=0;i<160;++i) {
302 AliTPCclusterMI *c=seed->GetClusterPointer(i);
303 vecX[i]=0;
304 vecY[i]=0;
305 vecZ[i]=0;
306 if (!c) continue;
307 AliTPCclusterMI & cl = (AliTPCclusterMI&) (*arrCl[i]);
308 if (c->GetDetector()!=s1 && c->GetDetector()!=s2) continue;
309 vecClY[i] = c->GetY();
310 vecClZ[i] = c->GetZ();
311 cl=*c;
312 const AliExternalTrackParam *par = (c->GetDetector()==s1)? &t1:&t2;
313 if (c->GetDetector()==s1) ++count1;
314 if (c->GetDetector()==s2) ++count2;
315 Double_t gxyz[3],xyz[3];
316 t1.GetXYZ(gxyz);
317 Float_t bz = AliTracker::GetBz(gxyz);
318 par->GetYAt(c->GetX(), bz, xyz[1]);
319 par->GetZAt(c->GetX(), bz, xyz[2]);
320 vecX[i] = c->GetX();
321 vecY[i]= xyz[1];
322 vecZ[i]= xyz[2];
323 }
324 //
325 //
326 if (fStreamLevel>5){
327 //
328 // huge output - cluster residuals to be investigated
329 //
330 TTreeSRedirector *cstream = GetDebugStreamer();
331 AliTPCseed * t = (AliTPCseed*) seed;
332 //AliExternalTrackParam *p0 = &((AliExternalTrackParam&)seed);
333 AliExternalTrackParam *p1 = &((AliExternalTrackParam&)t1);
334 AliExternalTrackParam *p2 = &((AliExternalTrackParam&)t2);
1c1a1176 335 /*
336
337 Track->Draw("Cl[].fY-vtY.fElements:vtY.fElements-vtX.fElements*tan(pi/18.)>>his(100,-10,0)","Cl.fY!=0&&abs(Cl.fY-vtY.fElements)<1","prof");
338
339 */
340
967eae0d 341 if (cstream){
342 (*cstream)<<"Track"<<
343 "Cl.="<<&arrCl<<
344 //"tp0.="<<p0<<
345 "tp1.="<<p1<<
346 "tp2.="<<p2<<
347 "vtX.="<<&vecX<<
348 "vtY.="<<&vecY<<
349 "vtZ.="<<&vecZ<<
350 "vcY.="<<&vecClY<<
351 "vcZ.="<<&vecClZ<<
352 "s1="<<s1<<
353 "s2="<<s2<<
354 "c1="<<count1<<
355 "c2="<<count2<<
356 "\n";
357 }
358 }
359}
360
361
362
363
7eaa723e 364void AliTPCcalibAlign::Process12(const Double_t *t1,
365 const Double_t *t2,
9318a5b4 366 TLinearFitter *fitter) {
367 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
368 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
369 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
370 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
371 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
372 //
f8a2dcfb 373 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
374 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
375 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
376
377
378
7eaa723e 379 const Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
380 const Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 381
382 // TODO:
7eaa723e 383 Double_t sy = 0.1;
384 Double_t sz = 0.1;
385 Double_t sdydx = 0.001;
386 Double_t sdzdx = 0.001;
9318a5b4 387
388 Double_t p[12];
389 Double_t value;
390
391 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
392 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
393 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
394 for (Int_t i=0; i<12;i++) p[i]=0.;
395 p[3+0] = x1; // a10
396 p[3+1] = y1; // a11
397 p[3+2] = z1; // a12
398 p[9+1] = 1.; // a13
399 p[0+1] = y1*dydx2; // a01
400 p[0+2] = z1*dydx2; // a02
401 p[9+0] = dydx2; // a03
402 value = y2;
403 fitter->AddPoint(p,value,sy);
404
405 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
406 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
407 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
408 for (Int_t i=0; i<12;i++) p[i]=0.;
409 p[6+0] = x1; // a20
410 p[6+1] = y1; // a21
411 p[6+2] = z1; // a22
412 p[9+2] = 1.; // a23
413 p[0+1] = y1*dzdx2; // a01
414 p[0+2] = z1*dzdx2; // a02
415 p[9+0] = dzdx2; // a03
416 value = z2;
417 fitter->AddPoint(p,value,sz);
418
419 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
420 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
421 for (Int_t i=0; i<12;i++) p[i]=0.;
422 p[3+0] = 1.; // a10
423 p[3+1] = dydx1; // a11
424 p[3+2] = dzdx1; // a12
425 p[0+0] = -dydx2; // a00
426 p[0+1] = -dydx1*dydx2; // a01
427 p[0+2] = -dzdx1*dydx2; // a02
428 value = 0.;
429 fitter->AddPoint(p,value,sdydx);
430
431 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
432 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
433 for (Int_t i=0; i<12;i++) p[i]=0.;
434 p[6+0] = 1; // a20
435 p[6+1] = dydx1; // a21
436 p[6+2] = dzdx1; // a22
437 p[0+0] = -dzdx2; // a00
438 p[0+1] = -dydx1*dzdx2; // a01
439 p[0+2] = -dzdx1*dzdx2; // a02
440 value = 0.;
441 fitter->AddPoint(p,value,sdzdx);
442}
443
444void AliTPCcalibAlign::Process9(Double_t *t1,
445 Double_t *t2,
446 TLinearFitter *fitter) {
447 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
448 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
449 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
450 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
451 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
452 //
f8a2dcfb 453 // a00 a01 a02 a03 1 p[0] p[1] p[6]
454 // a10 a11 a12 a13 ==> p[2] 1 p[3] p[7]
455 // a20 a21 a21 a23 p[4] p[5] 1 p[8]
456
457
9318a5b4 458 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
cec17745 459 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 460
461 // TODO:
f8a2dcfb 462 Double_t sy = 0.1;
463 Double_t sz = 0.1;
464 Double_t sdydx = 0.001;
465 Double_t sdzdx = 0.001;
466 //
9318a5b4 467 Double_t p[12];
468 Double_t value;
469
470 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
471 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
f8a2dcfb 472 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
9318a5b4 473 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 474 p[2] += x1; // a10
475 //p[] +=1; // a11
476 p[3] += z1; // a12
477 p[7] += 1; // a13
478 p[0] += y1*dydx2; // a01
479 p[1] += z1*dydx2; // a02
480 p[6] += dydx2; // a03
481 value = y2-y1; //-a11
9318a5b4 482 fitter->AddPoint(p,value,sy);
f8a2dcfb 483 //
9318a5b4 484 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
485 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
f8a2dcfb 486 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
9318a5b4 487 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 488 p[4] += x1; // a20
489 p[5] += y1; // a21
490 //p[] += z1; // a22
491 p[8] += 1.; // a23
492 p[0] += y1*dzdx2; // a01
493 p[1] += z1*dzdx2; // a02
494 p[6] += dzdx2; // a03
495 value = z2-z1; //-a22
9318a5b4 496 fitter->AddPoint(p,value,sz);
497
498 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
499 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
500 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 501 p[2] += 1.; // a10
502 //p[] += dydx1; // a11
503 p[3] += dzdx1; // a12
504 //p[] += -dydx2; // a00
505 p[0] += -dydx1*dydx2; // a01
506 p[1] += -dzdx1*dydx2; // a02
507 value = -dydx1+dydx2; // -a11 + a00
9318a5b4 508 fitter->AddPoint(p,value,sdydx);
509
510 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
511 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
512 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 513 p[4] += 1; // a20
514 p[5] += dydx1; // a21
515 //p[] += dzdx1; // a22
516 //p[] += -dzdx2; // a00
517 p[0] += -dydx1*dzdx2; // a01
518 p[1] += -dzdx1*dzdx2; // a02
519 value = -dzdx1+dzdx2; // -a22 + a00
9318a5b4 520 fitter->AddPoint(p,value,sdzdx);
521}
522
523void AliTPCcalibAlign::Process6(Double_t *t1,
524 Double_t *t2,
525 TLinearFitter *fitter) {
526 // x2 = 1 *x1 +-a01*y1 + 0 +a03
527 // y2 = a01*x1 + 1 *y1 + 0 +a13
528 // z2 = a20*x1 + a21*y1 + 1 *z1 +a23
529 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
530 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
531 //
f8a2dcfb 532 // a00 a01 a02 a03 1 -p[0] 0 p[3]
533 // a10 a11 a12 a13 ==> p[0] 1 0 p[4]
534 // a20 a21 a21 a23 p[1] p[2] 1 p[5]
535
9318a5b4 536 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
cec17745 537 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 538
539 // TODO:
7eaa723e 540 Double_t sy = 0.1;
541 Double_t sz = 0.1;
542 Double_t sdydx = 0.001;
543 Double_t sdzdx = 0.001;
9318a5b4 544
545 Double_t p[12];
546 Double_t value;
f8a2dcfb 547 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
548 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
9318a5b4 549 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
550 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 551 p[0] += x1; // a10
552 //p[] +=1; // a11
553 //p[] += z1; // a12
554 p[4] += 1; // a13
555 p[0] += -y1*dydx2; // a01
556 //p[] += z1*dydx2; // a02
557 p[3] += dydx2; // a03
558 value = y2-y1; //-a11
9318a5b4 559 fitter->AddPoint(p,value,sy);
f8a2dcfb 560 //
561 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
562 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
563 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
9318a5b4 564 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 565 p[1] += x1; // a20
566 p[2] += y1; // a21
567 //p[] += z1; // a22
568 p[5] += 1.; // a23
569 p[0] += -y1*dzdx2; // a01
570 //p[] += z1*dzdx2; // a02
571 p[3] += dzdx2; // a03
572 value = z2-z1; //-a22
9318a5b4 573 fitter->AddPoint(p,value,sz);
574
575 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
576 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
577 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 578 p[0] += 1.; // a10
579 //p[] += dydx1; // a11
580 //p[] += dzdx1; // a12
581 //p[] += -dydx2; // a00
582 p[0] += dydx1*dydx2; // a01
583 //p[] += -dzdx1*dydx2; // a02
584 value = -dydx1+dydx2; // -a11 + a00
9318a5b4 585 fitter->AddPoint(p,value,sdydx);
586
587 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
588 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
589 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 590 p[1] += 1; // a20
591 p[2] += dydx1; // a21
592 //p[] += dzdx1; // a22
593 //p[] += -dzdx2; // a00
594 p[0] += dydx1*dzdx2; // a01
595 //p[] += -dzdx1*dzdx2; // a02
596 value = -dzdx1+dzdx2; // -a22 + a00
9318a5b4 597 fitter->AddPoint(p,value,sdzdx);
598}
599
7eaa723e 600
601
602
603void AliTPCcalibAlign::EvalFitters() {
604 //
605 // Analyze function
606 //
607 // Perform the fitting using linear fitters
608 //
609 Int_t kMinPoints =50;
9318a5b4 610 TLinearFitter *f;
7eaa723e 611 TFile fff("alignDebug.root","recreate");
9318a5b4 612 for (Int_t s1=0;s1<72;++s1)
7eaa723e 613 for (Int_t s2=0;s2<72;++s2){
e81dc112 614 if ((f=GetFitter12(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
615 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
0ebabeb6 616 if (f->Eval()!=0) {
9318a5b4 617 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
7eaa723e 618 f->Write(Form("f12_%d_%d",s1,s2));
619 }else{
620 f->Write(Form("f12_%d_%d",s1,s2));
9318a5b4 621 }
622 }
e81dc112 623 if ((f=GetFitter9(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
624 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
0ebabeb6 625 if (f->Eval()!=0) {
7eaa723e 626 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
627 }else{
628 f->Write(Form("f9_%d_%d",s1,s2));
629 }
630 }
e81dc112 631 if ((f=GetFitter6(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
632 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
972cf6f2 633 if (f->Eval()!=0) {
7eaa723e 634 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
635 }else{
636 f->Write(Form("f6_%d_%d",s1,s2));
637 }
638 }
639 }
0ebabeb6 640 this->Write("align");
9318a5b4 641 /*
642
643 fitter->Eval();
644 fitter->Eval();
645 chi212 = align->GetChisquare()/(4.*entries);
646
647 TMatrixD mat(13,13);
648 TVectorD par(13);
649 align->GetParameters(par);
650 align->GetCovarianceMatrix(mat);
651
652 //
653 //
654 for (Int_t i=0; i<12;i++){
655 palign12(i)= par(i+1);
656 for (Int_t j=0; j<12;j++){
657 pcovar12(i,j) = mat(i+1,j+1);
658 pcovar12(i,j) *= chi212;
659 }
660 }
661 //
662 for (Int_t i=0; i<12;i++){
663 psigma12(i) = TMath::Sqrt(pcovar12(i,i));
664 palignR12(i) = palign12(i)/TMath::Sqrt(pcovar12(i,i));
665 for (Int_t j=0; j<12;j++){
666 pcovarN12(i,j) = pcovar12(i,j)/TMath::Sqrt(pcovar12(i,i)*pcovar12(j,j));
667 }
668 }
669 */
670}
671
972cf6f2 672TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter12(Int_t s1,Int_t s2) {
673 //
674 // get or make fitter - general linear transformation
675 //
e81dc112 676 static Int_t counter12=0;
677 static TF1 f12("f12","x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]++x[9]++x[10]++x[11]");
972cf6f2 678 TLinearFitter * fitter = GetFitter12(s1,s2);
679 if (fitter) return fitter;
e81dc112 680 // fitter =new TLinearFitter(12,"x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]++x[9]++x[10]++x[11]");
681 fitter =new TLinearFitter(&f12,"");
972cf6f2 682 fitter->StoreData(kFALSE);
e81dc112 683 fFitterArray12.AddAt(fitter,GetIndex(s1,s2));
684 counter12++;
685 if (GetDebugLevel()>0) cerr<<"Creating fitter12 "<<s1<<","<<s2<<" : "<<counter12<<endl;
972cf6f2 686 return fitter;
687}
688
689TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter9(Int_t s1,Int_t s2) {
690 //
691 //get or make fitter - general linear transformation - no scaling
692 //
e81dc112 693 static Int_t counter9=0;
694 static TF1 f9("f9","x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]");
972cf6f2 695 TLinearFitter * fitter = GetFitter9(s1,s2);
696 if (fitter) return fitter;
e81dc112 697 // fitter =new TLinearFitter(9,"x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]");
698 fitter =new TLinearFitter(&f9,"");
972cf6f2 699 fitter->StoreData(kFALSE);
700 fFitterArray9.AddAt(fitter,GetIndex(s1,s2));
e81dc112 701 counter9++;
702 if (GetDebugLevel()>0) cerr<<"Creating fitter12 "<<s1<<","<<s2<<" : "<<counter9<<endl;
972cf6f2 703 return fitter;
704}
705
706TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter6(Int_t s1,Int_t s2) {
707 //
708 // get or make fitter - 6 paramater linear tranformation
709 // - no scaling
710 // - rotation x-y
711 // - tilting x-z, y-z
e81dc112 712 static Int_t counter6=0;
713 static TF1 f6("f6","x[0]++x[1]++x[2]++x[3]++x[4]++x[5]");
972cf6f2 714 TLinearFitter * fitter = GetFitter6(s1,s2);
715 if (fitter) return fitter;
e81dc112 716 // fitter=new TLinearFitter(6,"x[0]++x[1]++x[2]++x[3]++x[4]++x[5]");
717 fitter=new TLinearFitter(&f6,"");
972cf6f2 718 fitter->StoreData(kFALSE);
719 fFitterArray6.AddAt(fitter,GetIndex(s1,s2));
e81dc112 720 counter6++;
721 if (GetDebugLevel()>0) cerr<<"Creating fitter6 "<<s1<<","<<s2<<" : "<<counter6<<endl;
972cf6f2 722 return fitter;
723}
724
725
726
727
728
9318a5b4 729Bool_t AliTPCcalibAlign::GetTransformation12(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 730 //
731 // GetTransformation matrix - 12 paramaters - generael linear transformation
732 //
9318a5b4 733 if (!GetFitter12(s1,s2))
734 return false;
735 else {
736 TVectorD p(12);
9318a5b4 737 GetFitter12(s1,s2)->GetParameters(p);
9318a5b4 738 a.ResizeTo(4,4);
972cf6f2 739 a[0][0]=p[0]; a[0][1]=p[1]; a[0][2]=p[2]; a[0][3]=p[9];
740 a[1][0]=p[3]; a[1][1]=p[4]; a[1][2]=p[5]; a[1][3]=p[10];
741 a[2][0]=p[6]; a[2][1]=p[7]; a[2][2]=p[8]; a[2][3]=p[11];
742 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 743 return true;
744 }
745}
746
747Bool_t AliTPCcalibAlign::GetTransformation9(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 748 //
749 // GetTransformation matrix - 9 paramaters - general linear transformation
750 // No scaling
751 //
9318a5b4 752 if (!GetFitter9(s1,s2))
753 return false;
754 else {
755 TVectorD p(9);
756 GetFitter9(s1,s2)->GetParameters(p);
757 a.ResizeTo(4,4);
f8a2dcfb 758 a[0][0]=1; a[0][1]=p[0]; a[0][2]=p[1]; a[0][3]=p[6];
759 a[1][0]=p[2]; a[1][1]=1; a[1][2]=p[3]; a[1][3]=p[7];
760 a[2][0]=p[4]; a[2][1]=p[5]; a[2][2]=1; a[2][3]=p[8];
972cf6f2 761 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 762 return true;
763 }
764}
765
766Bool_t AliTPCcalibAlign::GetTransformation6(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 767 //
768 // GetTransformation matrix - 6 paramaters
769 // 3 translation
770 // 1 rotation -x-y
771 // 2 tilting x-z y-z
9318a5b4 772 if (!GetFitter6(s1,s2))
773 return false;
774 else {
775 TVectorD p(6);
9318a5b4 776 GetFitter6(s1,s2)->GetParameters(p);
9318a5b4 777 a.ResizeTo(4,4);
f8a2dcfb 778 a[0][0]=1; a[0][1]=-p[0];a[0][2]=0; a[0][3]=p[3];
779 a[1][0]=p[0]; a[1][1]=1; a[1][2]=0; a[1][3]=p[4];
780 a[2][0]=p[1]; a[2][1]=p[2]; a[2][2]=1; a[2][3]=p[5];
972cf6f2 781 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 782 return true;
783 }
784}
972cf6f2 785
786void AliTPCcalibAlign::FillHisto(const AliExternalTrackParam &tp1,
787 const AliExternalTrackParam &tp2,
788 Int_t s1,Int_t s2) {
789 //
790 // Fill residual histograms
8b3c60d8 791 // Innner-Outer
792 // Left right - x-y
793 // A-C side
794 if (TMath::Abs(s2%36-s1%36)<2 || TMath::Abs(s2%18-s1%18)==0) {
972cf6f2 795 GetHisto(kPhi,s1,s2,kTRUE)->Fill(TMath::ASin(tp1.GetSnp())-TMath::ASin(tp2.GetSnp()));
796 GetHisto(kTheta,s1,s2,kTRUE)->Fill(TMath::ATan(tp1.GetTgl())-TMath::ATan(tp2.GetTgl()));
797 GetHisto(kY,s1,s2,kTRUE)->Fill(tp1.GetY()-tp2.GetY());
798 GetHisto(kZ,s1,s2,kTRUE)->Fill(tp1.GetZ()-tp2.GetZ());
799 }
800}
801
802
803
804TH1 * AliTPCcalibAlign::GetHisto(HistoType type, Int_t s1, Int_t s2, Bool_t force)
805{
806 //
807 // return specified residual histogram - it is only QA
808 // if force specified the histogram and given histogram is not existing
809 // new histogram is created
810 //
811 if (GetIndex(s1,s2)>=72*72) return 0;
812 TObjArray *histoArray=0;
813 switch (type) {
814 case kY:
815 histoArray = &fDyHistArray; break;
816 case kZ:
817 histoArray = &fDzHistArray; break;
818 case kPhi:
819 histoArray = &fDphiHistArray; break;
820 case kTheta:
821 histoArray = &fDthetaHistArray; break;
822 }
823 TH1 * histo= (TH1*)histoArray->At(GetIndex(s1,s2));
824 if (histo) return histo;
825 if (force==kFALSE) return 0;
826 //
827 stringstream name;
828 stringstream title;
829 switch (type) {
830 case kY:
831 name<<"hist_y_"<<s1<<"_"<<s2;
832 title<<"Y Missalignment for sectors "<<s1<<" and "<<s2;
833 histo =new TH1D(name.str().c_str(),title.str().c_str(),512,-0.3,0.3); // +/- 3 mm
834 break;
835 case kZ:
836 name<<"hist_z_"<<s1<<"_"<<s2;
837 title<<"Z Missalignment for sectors "<<s1<<" and "<<s2;
838 histo = new TH1D(name.str().c_str(),title.str().c_str(),512,-0.3,0.3); // +/- 3 mm
839 break;
840 case kPhi:
841 name<<"hist_phi_"<<s1<<"_"<<s2;
842 title<<"Phi Missalignment for sectors "<<s1<<" and "<<s2;
843 histo =new TH1D(name.str().c_str(),title.str().c_str(),512,-0.01,0.01); // +/- 10 mrad
844 break;
845 case kTheta:
846 name<<"hist_theta_"<<s1<<"_"<<s2;
847 title<<"Theta Missalignment for sectors "<<s1<<" and "<<s2;
848 histo =new TH1D(name.str().c_str(),title.str().c_str(),512,-0.01,0.01); // +/- 10 mrad
849 break;
850 }
851 histo->SetDirectory(0);
852 histoArray->AddAt(histo,GetIndex(s1,s2));
853 return histo;
854}
8b3c60d8 855
856TGraphErrors * AliTPCcalibAlign::MakeGraph(Int_t sec0, Int_t sec1, Int_t dsec,
857 Int_t i0, Int_t i1, FitType type)
858{
859 //
860 //
861 //
862 TMatrixD mat;
863 TObjArray *fitArray=0;
864 Double_t xsec[1000];
865 Double_t ysec[1000];
866 Int_t npoints=0;
867 for (Int_t isec = sec0; isec<=sec1; isec++){
868 Int_t isec2 = (isec+dsec)%72;
869 switch (type) {
870 case k6:
871 GetTransformation6(isec,isec2,mat);break;
872 case k9:
873 GetTransformation9(isec,isec2,mat);break;
874 case k12:
875 GetTransformation12(isec,isec2,mat);break;
876 }
877 xsec[npoints]=isec;
878 ysec[npoints]=mat(i0,i1);
879 ++npoints;
880 }
881 TGraphErrors *gr = new TGraphErrors(npoints,xsec,ysec,0,0);
882 Char_t name[1000];
883 sprintf(name,"Mat[%d,%d] Type=%d",i0,i1,type);
884 gr->SetName(name);
885 return gr;
886}
887
888void AliTPCcalibAlign::MakeTree(const char *fname){
889 //
890 // make tree with alignment cosntant -
891 // For QA visualization
892 //
893 const Int_t kMinPoints=50;
894 TTreeSRedirector cstream(fname);
895 for (Int_t s1=0;s1<72;++s1)
896 for (Int_t s2=0;s2<72;++s2){
897 if (fPoints[GetIndex(s1,s2)]<kMinPoints) continue;
898 TMatrixD m6;
899 TMatrixD m9;
900 TMatrixD m12;
901 GetTransformation6(s1,s2,m6);
902 GetTransformation9(s1,s2,m9);
903 GetTransformation12(s1,s2,m12);
904 Double_t dy=0, dz=0, dphi=0,dtheta=0;
905 Double_t sy=0, sz=0, sphi=0,stheta=0;
906 Double_t ny=0, nz=0, nphi=0,ntheta=0;
907 TH1 * his=0;
908 his = GetHisto(kY,s1,s2);
909 if (his) { dy = his->GetMean(); sy = his->GetRMS(); ny = his->GetEntries();}
910 his = GetHisto(kZ,s1,s2);
911 if (his) { dz = his->GetMean(); sz = his->GetRMS(); nz = his->GetEntries();}
912 his = GetHisto(kPhi,s1,s2);
913 if (his) { dphi = his->GetMean(); sphi = his->GetRMS(); nphi = his->GetEntries();}
914 his = GetHisto(kTheta,s1,s2);
915 if (his) { dtheta = his->GetMean(); stheta = his->GetRMS(); ntheta = his->GetEntries();}
916 //
917 cstream<<"Align"<<
918 "s1="<<s1<< // reference sector
919 "s2="<<s2<< // sector to align
920 "m6.="<<&m6<< // tranformation matrix
921 "m9.="<<&m9<< //
922 "m12.="<<&m12<<
967eae0d 923 // histograms mean RMS and entries
924 "dy="<<dy<<
8b3c60d8 925 "sy="<<sy<<
926 "ny="<<ny<<
927 "dz="<<dz<<
928 "sz="<<sz<<
929 "nz="<<nz<<
930 "dphi="<<dphi<<
931 "sphi="<<sphi<<
932 "nphi="<<nphi<<
933 "dtheta="<<dtheta<<
934 "stheta="<<stheta<<
935 "ntheta="<<ntheta<<
936 "\n";
937 }
938
939}