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Updates to avoid generation of unused TClonesArray. Bug fixes.
[u/mrichter/AliRoot.git] / TPC / AliTPCcalibAlign.cxx
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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 //
251 TCut c1pt("abs((tp1.fP[4]+tp2.fP[4])*0.5)<5"); // pt cut
252 TCut cd1pt("abs(tp1.fP[4]-tp2.fP[4])<0.5");
253 TCut c1ptpull("abs((tp1.fP[4]-tp2.fP[4])/sqrt(tp1.fC[14]+tp2.fC[14]))<5");
254 TCut csy("sqrt(tp1.fC[0]+tp2.fC[0])<0.5");
255 TCut csz("sqrt(tp1.fC[2]+tp2.fC[2])<0.3");
256 TCut cphi("abs(v1.fElements[3])<1")
257 TCut ctheta("abs(v1.fElements[4])<1")
258 //
259 //
260 TCut acut = c1ptpull+c1pt+cd1pt+csy+csz+cphi+ctheta;
261 */
262 // 1. pt cut
263 // 2. delta in curvature
264 // 3. pull in 1pt
265 // 4. sigma y
266 // 5. sigma z
267 // 6. angle phi
268 // 7. angle theta
269 Double_t sigma1pt = TMath::Sqrt(tp1.GetSigma1Pt2()+tp1.GetSigma1Pt2());
270 Double_t delta1pt = (tp1.GetParameter()[4]-tp2.GetParameter()[4]);
271 Double_t pull1pt = delta1pt/sigma1pt;
272 if (0.5*TMath::Abs(tp1.GetParameter()[4]+tp2.GetParameter()[4])>5) return;
273 if (TMath::Abs(delta1pt)>0.5) return;
274 if (TMath::Abs(pull1pt)>5) return;
275 if (TMath::Sqrt(tp1.GetSigmaY2()+tp2.GetSigmaY2())>0.5) return;
276 if (TMath::Sqrt(tp1.GetSigmaZ2()+tp2.GetSigmaZ2())>0.3) return;
277 if (TMath::Abs(dydx1)>1.) return;
278 if (TMath::Abs(dzdx1)>1.) return;
279 //
280 // fill resolution histograms - previous cut included
281 FillHisto(tp1,tp2,s1,s2);
282 //
9318a5b4 283 Process12(t1,t2,GetOrMakeFitter12(s1,s2));
7eaa723e 284 Process9(t1,t2,GetOrMakeFitter9(s1,s2));
285 Process6(t1,t2,GetOrMakeFitter6(s1,s2));
967eae0d 286 ProcessDiff(tp1,tp2, seed,s1,s2);
e81dc112 287 ++fPoints[GetIndex(s1,s2)];
9318a5b4 288}
289
967eae0d 290void AliTPCcalibAlign::ProcessDiff(const AliExternalTrackParam &t1,
291 const AliExternalTrackParam &t2,
292 const AliTPCseed *seed,
293 Int_t s1,Int_t s2)
294{
295 //
296 // Process local residuals function
297 //
298 TVectorD vecX(160);
299 TVectorD vecY(160);
300 TVectorD vecZ(160);
301 TVectorD vecClY(160);
302 TVectorD vecClZ(160);
303 TClonesArray arrCl("AliTPCclusterMI",160);
304 arrCl.ExpandCreateFast(160);
305 Int_t count1=0, count2=0;
306 for (Int_t i=0;i<160;++i) {
307 AliTPCclusterMI *c=seed->GetClusterPointer(i);
308 vecX[i]=0;
309 vecY[i]=0;
310 vecZ[i]=0;
311 if (!c) continue;
312 AliTPCclusterMI & cl = (AliTPCclusterMI&) (*arrCl[i]);
313 if (c->GetDetector()!=s1 && c->GetDetector()!=s2) continue;
314 vecClY[i] = c->GetY();
315 vecClZ[i] = c->GetZ();
316 cl=*c;
317 const AliExternalTrackParam *par = (c->GetDetector()==s1)? &t1:&t2;
318 if (c->GetDetector()==s1) ++count1;
319 if (c->GetDetector()==s2) ++count2;
320 Double_t gxyz[3],xyz[3];
321 t1.GetXYZ(gxyz);
322 Float_t bz = AliTracker::GetBz(gxyz);
323 par->GetYAt(c->GetX(), bz, xyz[1]);
324 par->GetZAt(c->GetX(), bz, xyz[2]);
325 vecX[i] = c->GetX();
326 vecY[i]= xyz[1];
327 vecZ[i]= xyz[2];
328 }
329 //
330 //
331 if (fStreamLevel>5){
332 //
333 // huge output - cluster residuals to be investigated
334 //
335 TTreeSRedirector *cstream = GetDebugStreamer();
336 AliTPCseed * t = (AliTPCseed*) seed;
337 //AliExternalTrackParam *p0 = &((AliExternalTrackParam&)seed);
338 AliExternalTrackParam *p1 = &((AliExternalTrackParam&)t1);
339 AliExternalTrackParam *p2 = &((AliExternalTrackParam&)t2);
1c1a1176 340 /*
341
342 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");
343
344 */
345
967eae0d 346 if (cstream){
347 (*cstream)<<"Track"<<
348 "Cl.="<<&arrCl<<
349 //"tp0.="<<p0<<
350 "tp1.="<<p1<<
351 "tp2.="<<p2<<
352 "vtX.="<<&vecX<<
353 "vtY.="<<&vecY<<
354 "vtZ.="<<&vecZ<<
355 "vcY.="<<&vecClY<<
356 "vcZ.="<<&vecClZ<<
357 "s1="<<s1<<
358 "s2="<<s2<<
359 "c1="<<count1<<
360 "c2="<<count2<<
361 "\n";
362 }
363 }
364}
365
366
367
368
7eaa723e 369void AliTPCcalibAlign::Process12(const Double_t *t1,
370 const Double_t *t2,
9318a5b4 371 TLinearFitter *fitter) {
372 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
373 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
374 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
375 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
376 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
377 //
f8a2dcfb 378 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
379 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
380 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
381
382
383
7eaa723e 384 const Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
385 const Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 386
387 // TODO:
7eaa723e 388 Double_t sy = 0.1;
389 Double_t sz = 0.1;
390 Double_t sdydx = 0.001;
391 Double_t sdzdx = 0.001;
9318a5b4 392
393 Double_t p[12];
394 Double_t value;
395
396 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
397 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
398 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
399 for (Int_t i=0; i<12;i++) p[i]=0.;
400 p[3+0] = x1; // a10
401 p[3+1] = y1; // a11
402 p[3+2] = z1; // a12
403 p[9+1] = 1.; // a13
404 p[0+1] = y1*dydx2; // a01
405 p[0+2] = z1*dydx2; // a02
406 p[9+0] = dydx2; // a03
407 value = y2;
408 fitter->AddPoint(p,value,sy);
409
410 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
411 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
412 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
413 for (Int_t i=0; i<12;i++) p[i]=0.;
414 p[6+0] = x1; // a20
415 p[6+1] = y1; // a21
416 p[6+2] = z1; // a22
417 p[9+2] = 1.; // a23
418 p[0+1] = y1*dzdx2; // a01
419 p[0+2] = z1*dzdx2; // a02
420 p[9+0] = dzdx2; // a03
421 value = z2;
422 fitter->AddPoint(p,value,sz);
423
424 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
425 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
426 for (Int_t i=0; i<12;i++) p[i]=0.;
427 p[3+0] = 1.; // a10
428 p[3+1] = dydx1; // a11
429 p[3+2] = dzdx1; // a12
430 p[0+0] = -dydx2; // a00
431 p[0+1] = -dydx1*dydx2; // a01
432 p[0+2] = -dzdx1*dydx2; // a02
433 value = 0.;
434 fitter->AddPoint(p,value,sdydx);
435
436 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
437 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
438 for (Int_t i=0; i<12;i++) p[i]=0.;
439 p[6+0] = 1; // a20
440 p[6+1] = dydx1; // a21
441 p[6+2] = dzdx1; // a22
442 p[0+0] = -dzdx2; // a00
443 p[0+1] = -dydx1*dzdx2; // a01
444 p[0+2] = -dzdx1*dzdx2; // a02
445 value = 0.;
446 fitter->AddPoint(p,value,sdzdx);
447}
448
449void AliTPCcalibAlign::Process9(Double_t *t1,
450 Double_t *t2,
451 TLinearFitter *fitter) {
452 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
453 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
454 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
455 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
456 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
457 //
f8a2dcfb 458 // a00 a01 a02 a03 1 p[0] p[1] p[6]
459 // a10 a11 a12 a13 ==> p[2] 1 p[3] p[7]
460 // a20 a21 a21 a23 p[4] p[5] 1 p[8]
461
462
9318a5b4 463 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
cec17745 464 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 465
466 // TODO:
f8a2dcfb 467 Double_t sy = 0.1;
468 Double_t sz = 0.1;
469 Double_t sdydx = 0.001;
470 Double_t sdzdx = 0.001;
471 //
9318a5b4 472 Double_t p[12];
473 Double_t value;
474
475 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
476 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
f8a2dcfb 477 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
9318a5b4 478 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 479 p[2] += x1; // a10
480 //p[] +=1; // a11
481 p[3] += z1; // a12
482 p[7] += 1; // a13
483 p[0] += y1*dydx2; // a01
484 p[1] += z1*dydx2; // a02
485 p[6] += dydx2; // a03
486 value = y2-y1; //-a11
9318a5b4 487 fitter->AddPoint(p,value,sy);
f8a2dcfb 488 //
9318a5b4 489 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
490 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
f8a2dcfb 491 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
9318a5b4 492 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 493 p[4] += x1; // a20
494 p[5] += y1; // a21
495 //p[] += z1; // a22
496 p[8] += 1.; // a23
497 p[0] += y1*dzdx2; // a01
498 p[1] += z1*dzdx2; // a02
499 p[6] += dzdx2; // a03
500 value = z2-z1; //-a22
9318a5b4 501 fitter->AddPoint(p,value,sz);
502
503 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
504 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
505 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 506 p[2] += 1.; // a10
507 //p[] += dydx1; // a11
508 p[3] += dzdx1; // a12
509 //p[] += -dydx2; // a00
510 p[0] += -dydx1*dydx2; // a01
511 p[1] += -dzdx1*dydx2; // a02
512 value = -dydx1+dydx2; // -a11 + a00
9318a5b4 513 fitter->AddPoint(p,value,sdydx);
514
515 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
516 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
517 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 518 p[4] += 1; // a20
519 p[5] += dydx1; // a21
520 //p[] += dzdx1; // a22
521 //p[] += -dzdx2; // a00
522 p[0] += -dydx1*dzdx2; // a01
523 p[1] += -dzdx1*dzdx2; // a02
524 value = -dzdx1+dzdx2; // -a22 + a00
9318a5b4 525 fitter->AddPoint(p,value,sdzdx);
526}
527
528void AliTPCcalibAlign::Process6(Double_t *t1,
529 Double_t *t2,
530 TLinearFitter *fitter) {
531 // x2 = 1 *x1 +-a01*y1 + 0 +a03
532 // y2 = a01*x1 + 1 *y1 + 0 +a13
533 // z2 = a20*x1 + a21*y1 + 1 *z1 +a23
534 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
535 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
536 //
f8a2dcfb 537 // a00 a01 a02 a03 1 -p[0] 0 p[3]
538 // a10 a11 a12 a13 ==> p[0] 1 0 p[4]
539 // a20 a21 a21 a23 p[1] p[2] 1 p[5]
540
9318a5b4 541 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
cec17745 542 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
9318a5b4 543
544 // TODO:
7eaa723e 545 Double_t sy = 0.1;
546 Double_t sz = 0.1;
547 Double_t sdydx = 0.001;
548 Double_t sdzdx = 0.001;
9318a5b4 549
550 Double_t p[12];
551 Double_t value;
f8a2dcfb 552 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
553 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
9318a5b4 554 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
555 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 556 p[0] += x1; // a10
557 //p[] +=1; // a11
558 //p[] += z1; // a12
559 p[4] += 1; // a13
560 p[0] += -y1*dydx2; // a01
561 //p[] += z1*dydx2; // a02
562 p[3] += dydx2; // a03
563 value = y2-y1; //-a11
9318a5b4 564 fitter->AddPoint(p,value,sy);
f8a2dcfb 565 //
566 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
567 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
568 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
9318a5b4 569 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 570 p[1] += x1; // a20
571 p[2] += y1; // a21
572 //p[] += z1; // a22
573 p[5] += 1.; // a23
574 p[0] += -y1*dzdx2; // a01
575 //p[] += z1*dzdx2; // a02
576 p[3] += dzdx2; // a03
577 value = z2-z1; //-a22
9318a5b4 578 fitter->AddPoint(p,value,sz);
579
580 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
581 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
582 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 583 p[0] += 1.; // a10
584 //p[] += dydx1; // a11
585 //p[] += dzdx1; // a12
586 //p[] += -dydx2; // a00
587 p[0] += dydx1*dydx2; // a01
588 //p[] += -dzdx1*dydx2; // a02
589 value = -dydx1+dydx2; // -a11 + a00
9318a5b4 590 fitter->AddPoint(p,value,sdydx);
591
592 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
593 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
594 for (Int_t i=0; i<12;i++) p[i]=0.;
f8a2dcfb 595 p[1] += 1; // a20
596 p[2] += dydx1; // a21
597 //p[] += dzdx1; // a22
598 //p[] += -dzdx2; // a00
599 p[0] += dydx1*dzdx2; // a01
600 //p[] += -dzdx1*dzdx2; // a02
601 value = -dzdx1+dzdx2; // -a22 + a00
9318a5b4 602 fitter->AddPoint(p,value,sdzdx);
603}
604
7eaa723e 605
606
607
608void AliTPCcalibAlign::EvalFitters() {
609 //
610 // Analyze function
611 //
612 // Perform the fitting using linear fitters
613 //
614 Int_t kMinPoints =50;
9318a5b4 615 TLinearFitter *f;
7eaa723e 616 TFile fff("alignDebug.root","recreate");
9318a5b4 617 for (Int_t s1=0;s1<72;++s1)
7eaa723e 618 for (Int_t s2=0;s2<72;++s2){
e81dc112 619 if ((f=GetFitter12(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
620 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
0ebabeb6 621 if (f->Eval()!=0) {
9318a5b4 622 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
7eaa723e 623 f->Write(Form("f12_%d_%d",s1,s2));
624 }else{
625 f->Write(Form("f12_%d_%d",s1,s2));
9318a5b4 626 }
627 }
e81dc112 628 if ((f=GetFitter9(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
629 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
0ebabeb6 630 if (f->Eval()!=0) {
7eaa723e 631 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
632 }else{
633 f->Write(Form("f9_%d_%d",s1,s2));
634 }
635 }
e81dc112 636 if ((f=GetFitter6(s1,s2))&&fPoints[GetIndex(s1,s2)]>kMinPoints) {
637 // cerr<<s1<<","<<s2<<": "<<fPoints[GetIndex(s1,s2)]<<endl;
972cf6f2 638 if (f->Eval()!=0) {
7eaa723e 639 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
640 }else{
641 f->Write(Form("f6_%d_%d",s1,s2));
642 }
643 }
644 }
0ebabeb6 645 this->Write("align");
9318a5b4 646 /*
647
648 fitter->Eval();
649 fitter->Eval();
650 chi212 = align->GetChisquare()/(4.*entries);
651
652 TMatrixD mat(13,13);
653 TVectorD par(13);
654 align->GetParameters(par);
655 align->GetCovarianceMatrix(mat);
656
657 //
658 //
659 for (Int_t i=0; i<12;i++){
660 palign12(i)= par(i+1);
661 for (Int_t j=0; j<12;j++){
662 pcovar12(i,j) = mat(i+1,j+1);
663 pcovar12(i,j) *= chi212;
664 }
665 }
666 //
667 for (Int_t i=0; i<12;i++){
668 psigma12(i) = TMath::Sqrt(pcovar12(i,i));
669 palignR12(i) = palign12(i)/TMath::Sqrt(pcovar12(i,i));
670 for (Int_t j=0; j<12;j++){
671 pcovarN12(i,j) = pcovar12(i,j)/TMath::Sqrt(pcovar12(i,i)*pcovar12(j,j));
672 }
673 }
674 */
675}
676
972cf6f2 677TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter12(Int_t s1,Int_t s2) {
678 //
679 // get or make fitter - general linear transformation
680 //
e81dc112 681 static Int_t counter12=0;
682 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 683 TLinearFitter * fitter = GetFitter12(s1,s2);
684 if (fitter) return fitter;
e81dc112 685 // 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]");
686 fitter =new TLinearFitter(&f12,"");
972cf6f2 687 fitter->StoreData(kFALSE);
e81dc112 688 fFitterArray12.AddAt(fitter,GetIndex(s1,s2));
689 counter12++;
690 if (GetDebugLevel()>0) cerr<<"Creating fitter12 "<<s1<<","<<s2<<" : "<<counter12<<endl;
972cf6f2 691 return fitter;
692}
693
694TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter9(Int_t s1,Int_t s2) {
695 //
696 //get or make fitter - general linear transformation - no scaling
697 //
e81dc112 698 static Int_t counter9=0;
699 static TF1 f9("f9","x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]");
972cf6f2 700 TLinearFitter * fitter = GetFitter9(s1,s2);
701 if (fitter) return fitter;
e81dc112 702 // fitter =new TLinearFitter(9,"x[0]++x[1]++x[2]++x[3]++x[4]++x[5]++x[6]++x[7]++x[8]");
703 fitter =new TLinearFitter(&f9,"");
972cf6f2 704 fitter->StoreData(kFALSE);
705 fFitterArray9.AddAt(fitter,GetIndex(s1,s2));
e81dc112 706 counter9++;
707 if (GetDebugLevel()>0) cerr<<"Creating fitter12 "<<s1<<","<<s2<<" : "<<counter9<<endl;
972cf6f2 708 return fitter;
709}
710
711TLinearFitter* AliTPCcalibAlign::GetOrMakeFitter6(Int_t s1,Int_t s2) {
712 //
713 // get or make fitter - 6 paramater linear tranformation
714 // - no scaling
715 // - rotation x-y
716 // - tilting x-z, y-z
e81dc112 717 static Int_t counter6=0;
718 static TF1 f6("f6","x[0]++x[1]++x[2]++x[3]++x[4]++x[5]");
972cf6f2 719 TLinearFitter * fitter = GetFitter6(s1,s2);
720 if (fitter) return fitter;
e81dc112 721 // fitter=new TLinearFitter(6,"x[0]++x[1]++x[2]++x[3]++x[4]++x[5]");
722 fitter=new TLinearFitter(&f6,"");
972cf6f2 723 fitter->StoreData(kFALSE);
724 fFitterArray6.AddAt(fitter,GetIndex(s1,s2));
e81dc112 725 counter6++;
726 if (GetDebugLevel()>0) cerr<<"Creating fitter6 "<<s1<<","<<s2<<" : "<<counter6<<endl;
972cf6f2 727 return fitter;
728}
729
730
731
732
733
9318a5b4 734Bool_t AliTPCcalibAlign::GetTransformation12(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 735 //
736 // GetTransformation matrix - 12 paramaters - generael linear transformation
737 //
9318a5b4 738 if (!GetFitter12(s1,s2))
739 return false;
740 else {
741 TVectorD p(12);
9318a5b4 742 GetFitter12(s1,s2)->GetParameters(p);
9318a5b4 743 a.ResizeTo(4,4);
972cf6f2 744 a[0][0]=p[0]; a[0][1]=p[1]; a[0][2]=p[2]; a[0][3]=p[9];
745 a[1][0]=p[3]; a[1][1]=p[4]; a[1][2]=p[5]; a[1][3]=p[10];
746 a[2][0]=p[6]; a[2][1]=p[7]; a[2][2]=p[8]; a[2][3]=p[11];
747 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 748 return true;
749 }
750}
751
752Bool_t AliTPCcalibAlign::GetTransformation9(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 753 //
754 // GetTransformation matrix - 9 paramaters - general linear transformation
755 // No scaling
756 //
9318a5b4 757 if (!GetFitter9(s1,s2))
758 return false;
759 else {
760 TVectorD p(9);
761 GetFitter9(s1,s2)->GetParameters(p);
762 a.ResizeTo(4,4);
f8a2dcfb 763 a[0][0]=1; a[0][1]=p[0]; a[0][2]=p[1]; a[0][3]=p[6];
764 a[1][0]=p[2]; a[1][1]=1; a[1][2]=p[3]; a[1][3]=p[7];
765 a[2][0]=p[4]; a[2][1]=p[5]; a[2][2]=1; a[2][3]=p[8];
972cf6f2 766 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 767 return true;
768 }
769}
770
771Bool_t AliTPCcalibAlign::GetTransformation6(Int_t s1,Int_t s2,TMatrixD &a) {
972cf6f2 772 //
773 // GetTransformation matrix - 6 paramaters
774 // 3 translation
775 // 1 rotation -x-y
776 // 2 tilting x-z y-z
9318a5b4 777 if (!GetFitter6(s1,s2))
778 return false;
779 else {
780 TVectorD p(6);
9318a5b4 781 GetFitter6(s1,s2)->GetParameters(p);
9318a5b4 782 a.ResizeTo(4,4);
f8a2dcfb 783 a[0][0]=1; a[0][1]=-p[0];a[0][2]=0; a[0][3]=p[3];
784 a[1][0]=p[0]; a[1][1]=1; a[1][2]=0; a[1][3]=p[4];
785 a[2][0]=p[1]; a[2][1]=p[2]; a[2][2]=1; a[2][3]=p[5];
972cf6f2 786 a[3][0]=0.; a[3][1]=0.; a[3][2]=0.; a[3][3]=1.;
9318a5b4 787 return true;
788 }
789}
972cf6f2 790
791void AliTPCcalibAlign::FillHisto(const AliExternalTrackParam &tp1,
792 const AliExternalTrackParam &tp2,
793 Int_t s1,Int_t s2) {
794 //
795 // Fill residual histograms
8b3c60d8 796 // Innner-Outer
797 // Left right - x-y
798 // A-C side
799 if (TMath::Abs(s2%36-s1%36)<2 || TMath::Abs(s2%18-s1%18)==0) {
972cf6f2 800 GetHisto(kPhi,s1,s2,kTRUE)->Fill(TMath::ASin(tp1.GetSnp())-TMath::ASin(tp2.GetSnp()));
801 GetHisto(kTheta,s1,s2,kTRUE)->Fill(TMath::ATan(tp1.GetTgl())-TMath::ATan(tp2.GetTgl()));
802 GetHisto(kY,s1,s2,kTRUE)->Fill(tp1.GetY()-tp2.GetY());
803 GetHisto(kZ,s1,s2,kTRUE)->Fill(tp1.GetZ()-tp2.GetZ());
804 }
805}
806
807
808
809TH1 * AliTPCcalibAlign::GetHisto(HistoType type, Int_t s1, Int_t s2, Bool_t force)
810{
811 //
812 // return specified residual histogram - it is only QA
813 // if force specified the histogram and given histogram is not existing
814 // new histogram is created
815 //
816 if (GetIndex(s1,s2)>=72*72) return 0;
817 TObjArray *histoArray=0;
818 switch (type) {
819 case kY:
820 histoArray = &fDyHistArray; break;
821 case kZ:
822 histoArray = &fDzHistArray; break;
823 case kPhi:
824 histoArray = &fDphiHistArray; break;
825 case kTheta:
826 histoArray = &fDthetaHistArray; break;
827 }
828 TH1 * histo= (TH1*)histoArray->At(GetIndex(s1,s2));
829 if (histo) return histo;
830 if (force==kFALSE) return 0;
831 //
832 stringstream name;
833 stringstream title;
834 switch (type) {
835 case kY:
836 name<<"hist_y_"<<s1<<"_"<<s2;
837 title<<"Y 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 kZ:
841 name<<"hist_z_"<<s1<<"_"<<s2;
842 title<<"Z Missalignment for sectors "<<s1<<" and "<<s2;
843 histo = new TH1D(name.str().c_str(),title.str().c_str(),512,-0.3,0.3); // +/- 3 mm
844 break;
845 case kPhi:
846 name<<"hist_phi_"<<s1<<"_"<<s2;
847 title<<"Phi 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 case kTheta:
851 name<<"hist_theta_"<<s1<<"_"<<s2;
852 title<<"Theta Missalignment for sectors "<<s1<<" and "<<s2;
853 histo =new TH1D(name.str().c_str(),title.str().c_str(),512,-0.01,0.01); // +/- 10 mrad
854 break;
855 }
856 histo->SetDirectory(0);
857 histoArray->AddAt(histo,GetIndex(s1,s2));
858 return histo;
859}
8b3c60d8 860
861TGraphErrors * AliTPCcalibAlign::MakeGraph(Int_t sec0, Int_t sec1, Int_t dsec,
862 Int_t i0, Int_t i1, FitType type)
863{
864 //
865 //
866 //
867 TMatrixD mat;
868 TObjArray *fitArray=0;
869 Double_t xsec[1000];
870 Double_t ysec[1000];
871 Int_t npoints=0;
872 for (Int_t isec = sec0; isec<=sec1; isec++){
873 Int_t isec2 = (isec+dsec)%72;
874 switch (type) {
875 case k6:
876 GetTransformation6(isec,isec2,mat);break;
877 case k9:
878 GetTransformation9(isec,isec2,mat);break;
879 case k12:
880 GetTransformation12(isec,isec2,mat);break;
881 }
882 xsec[npoints]=isec;
883 ysec[npoints]=mat(i0,i1);
884 ++npoints;
885 }
886 TGraphErrors *gr = new TGraphErrors(npoints,xsec,ysec,0,0);
887 Char_t name[1000];
888 sprintf(name,"Mat[%d,%d] Type=%d",i0,i1,type);
889 gr->SetName(name);
890 return gr;
891}
892
893void AliTPCcalibAlign::MakeTree(const char *fname){
894 //
895 // make tree with alignment cosntant -
896 // For QA visualization
897 //
898 const Int_t kMinPoints=50;
899 TTreeSRedirector cstream(fname);
900 for (Int_t s1=0;s1<72;++s1)
901 for (Int_t s2=0;s2<72;++s2){
902 if (fPoints[GetIndex(s1,s2)]<kMinPoints) continue;
903 TMatrixD m6;
904 TMatrixD m9;
905 TMatrixD m12;
906 GetTransformation6(s1,s2,m6);
907 GetTransformation9(s1,s2,m9);
908 GetTransformation12(s1,s2,m12);
909 Double_t dy=0, dz=0, dphi=0,dtheta=0;
910 Double_t sy=0, sz=0, sphi=0,stheta=0;
911 Double_t ny=0, nz=0, nphi=0,ntheta=0;
912 TH1 * his=0;
913 his = GetHisto(kY,s1,s2);
914 if (his) { dy = his->GetMean(); sy = his->GetRMS(); ny = his->GetEntries();}
915 his = GetHisto(kZ,s1,s2);
916 if (his) { dz = his->GetMean(); sz = his->GetRMS(); nz = his->GetEntries();}
917 his = GetHisto(kPhi,s1,s2);
918 if (his) { dphi = his->GetMean(); sphi = his->GetRMS(); nphi = his->GetEntries();}
919 his = GetHisto(kTheta,s1,s2);
920 if (his) { dtheta = his->GetMean(); stheta = his->GetRMS(); ntheta = his->GetEntries();}
921 //
922 cstream<<"Align"<<
923 "s1="<<s1<< // reference sector
924 "s2="<<s2<< // sector to align
925 "m6.="<<&m6<< // tranformation matrix
926 "m9.="<<&m9<< //
927 "m12.="<<&m12<<
967eae0d 928 // histograms mean RMS and entries
929 "dy="<<dy<<
8b3c60d8 930 "sy="<<sy<<
931 "ny="<<ny<<
932 "dz="<<dz<<
933 "sz="<<sz<<
934 "nz="<<nz<<
935 "dphi="<<dphi<<
936 "sphi="<<sphi<<
937 "nphi="<<nphi<<
938 "dtheta="<<dtheta<<
939 "stheta="<<stheta<<
940 "ntheta="<<ntheta<<
941 "\n";
942 }
943
944}