1 /**************************************************************************
2 * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
4 * Author: The ALICE Off-line Project. *
5 * Contributors are mentioned in the code where appropriate. *
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 **************************************************************************/
17 ///////////////////////////////////////////////////////////////////////////////
19 // Class to make a internal alignemnt of TPC chambers //
21 // Different linear tranformation investigated
22 // 12 parameters - arbitrary transformation
23 // 9 parameters - scaling fixed to 1
26 //// Only the 12 parameter version works so far...
31 #include "TLinearFitter.h"
32 #include "AliTPCcalibAlign.h"
33 #include "AliExternalTrackParam.h"
34 #include "AliTPCTracklet.h"
37 #include "TTreeStream.h"
44 ClassImp(AliTPCcalibAlign)
46 AliTPCcalibAlign::AliTPCcalibAlign()
47 : fDphiHistArray(72*72),
48 fDthetaHistArray(72*72),
51 fFitterArray12(72*72),
58 for (Int_t i=0;i<72*72;++i) {
63 AliTPCcalibAlign::AliTPCcalibAlign(const Text_t *name, const Text_t *title)
65 fDphiHistArray(72*72),
66 fDthetaHistArray(72*72),
69 fFitterArray12(72*72),
78 for (Int_t i=0;i<72*72;++i) {
83 AliTPCcalibAlign::~AliTPCcalibAlign() {
89 void AliTPCcalibAlign::Process(AliTPCseed *seed) {
91 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kKalman,
93 // TObjArray trackletsL=
94 // AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kLinear,
96 // TObjArray trackletsQ=
97 // AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kQuadratic,
99 // TObjArray trackletsR=
100 // AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kRiemann,
102 tracklets.SetOwner();
103 // trackletsL.SetOwner();
104 // trackletsQ.SetOwner();
105 // trackletsR.SetOwner();
106 if (tracklets.GetEntries()==2) {
107 AliTPCTracklet *t1=static_cast<AliTPCTracklet*>(tracklets[0]);
108 AliTPCTracklet *t2=static_cast<AliTPCTracklet*>(tracklets[1]);
109 if (t1->GetSector()>t2->GetSector()) {
110 AliTPCTracklet* tmp=t1;
114 AliExternalTrackParam *common1=0,*common2=0;
115 if (AliTPCTracklet::PropagateToMeanX(*t1,*t2,common1,common2))
116 ProcessTracklets(*common1,*common2,t1->GetSector(),t2->GetSector());
123 void AliTPCcalibAlign::Analyze(){
131 void AliTPCcalibAlign::Terminate(){
133 // Terminate function
134 // call base terminate + Eval of fitters
136 if (GetDebugLevel()>0) Info("AliTPCcalibAlign","Teminate");
138 AliTPCcalibBase::Terminate();
144 void AliTPCcalibAlign::ProcessTracklets(const AliExternalTrackParam &tp1,
145 const AliExternalTrackParam &tp2,
149 if (s2-s1==36) {//only inner-outer
150 if (!fDphiHistArray[GetIndex(s1,s2)]) {
153 name<<"hist_phi_"<<s1<<"_"<<s2;
154 title<<"Phi Missalignment for sectors "<<s1<<" and "<<s2;
155 fDphiHistArray[GetIndex(s1,s2)]=new TH1D(name.str().c_str(),title.str().c_str(),512,-0.01,0.01); // +/- 10 mrad
156 ((TH1D*)fDphiHistArray[GetIndex(s1,s2)])->SetDirectory(0);
158 if (!fDthetaHistArray[GetIndex(s1,s2)]) {
161 name<<"hist_theta_"<<s1<<"_"<<s2;
162 title<<"Theta Missalignment for sectors "<<s1<<" and "<<s2;
163 fDthetaHistArray[GetIndex(s1,s2)]=new TH1D(name.str().c_str(),title.str().c_str(),512,-0.01,0.01); // +/- 10 mrad
164 ((TH1D*)fDthetaHistArray[GetIndex(s1,s2)])->SetDirectory(0);
166 if (!fDyHistArray[GetIndex(s1,s2)]) {
169 name<<"hist_y_"<<s1<<"_"<<s2;
170 title<<"Y Missalignment for sectors "<<s1<<" and "<<s2;
171 fDyHistArray[GetIndex(s1,s2)]=new TH1D(name.str().c_str(),title.str().c_str(),512,-0.3,0.3); // +/- 3 mm
172 ((TH1D*)fDyHistArray[GetIndex(s1,s2)])->SetDirectory(0);
174 if (!fDzHistArray[GetIndex(s1,s2)]) {
177 name<<"hist_z_"<<s1<<"_"<<s2;
178 title<<"Z Missalignment for sectors "<<s1<<" and "<<s2;
179 fDzHistArray[GetIndex(s1,s2)]=new TH1D(name.str().c_str(),title.str().c_str(),512,-0.3,0.3); // +/- 3 mm
180 ((TH1D*)fDzHistArray[GetIndex(s1,s2)])->SetDirectory(0);
182 static_cast<TH1D*>(fDphiHistArray[GetIndex(s1,s2)])
183 ->Fill(TMath::ASin(tp1.GetSnp())
184 -TMath::ASin(tp2.GetSnp()));
185 static_cast<TH1D*>(fDthetaHistArray[GetIndex(s1,s2)])
186 ->Fill(TMath::ATan(tp1.GetTgl())
187 -TMath::ATan(tp2.GetTgl()));
188 static_cast<TH1D*>(fDyHistArray[GetIndex(s1,s2)])
191 static_cast<TH1D*>(fDzHistArray[GetIndex(s1,s2)])
200 // Process function to fill fitters
202 Double_t t1[5],t2[5];
203 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
204 Double_t &x2=t2[0], &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
208 Double_t snp1=tp1.GetSnp();
209 dydx1=snp1/TMath::Sqrt(1.-snp1*snp1);
210 Double_t tgl1=tp1.GetTgl();
211 // dz/dx = 1/(cos(theta)*cos(phi))
212 dzdx1=tgl1/TMath::Sqrt(1.-snp1*snp1);
216 Double_t snp2=tp2.GetSnp();
217 dydx2=snp2/TMath::Sqrt(1.-snp2*snp2);
218 Double_t tgl2=tp2.GetTgl();
219 dzdx2=tgl2/TMath::Sqrt(1.-snp2*snp2);
225 TTreeSRedirector *cstream = GetDebugStreamer();
227 static TVectorD vec1(5);
228 static TVectorD vec2(5);
229 vec1.SetElements(t1);
230 vec2.SetElements(t2);
231 AliExternalTrackParam *p1 = &((AliExternalTrackParam&)tp1);
232 AliExternalTrackParam *p2 = &((AliExternalTrackParam&)tp2);
233 (*cstream)<<"Tracklet"<<
243 Process12(t1,t2,GetOrMakeFitter12(s1,s2));
244 Process9(t1,t2,GetOrMakeFitter9(s1,s2));
245 Process6(t1,t2,GetOrMakeFitter6(s1,s2));
249 void AliTPCcalibAlign::Process12(const Double_t *t1,
251 TLinearFitter *fitter) {
252 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
253 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
254 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
255 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
256 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
258 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
259 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
260 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
261 const Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
262 const Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
267 Double_t sdydx = 0.001;
268 Double_t sdzdx = 0.001;
273 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
274 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
275 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
276 for (Int_t i=0; i<12;i++) p[i]=0.;
281 p[0+1] = y1*dydx2; // a01
282 p[0+2] = z1*dydx2; // a02
283 p[9+0] = dydx2; // a03
285 fitter->AddPoint(p,value,sy);
287 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
288 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
289 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
290 for (Int_t i=0; i<12;i++) p[i]=0.;
295 p[0+1] = y1*dzdx2; // a01
296 p[0+2] = z1*dzdx2; // a02
297 p[9+0] = dzdx2; // a03
299 fitter->AddPoint(p,value,sz);
301 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
302 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
303 for (Int_t i=0; i<12;i++) p[i]=0.;
305 p[3+1] = dydx1; // a11
306 p[3+2] = dzdx1; // a12
307 p[0+0] = -dydx2; // a00
308 p[0+1] = -dydx1*dydx2; // a01
309 p[0+2] = -dzdx1*dydx2; // a02
311 fitter->AddPoint(p,value,sdydx);
313 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
314 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
315 for (Int_t i=0; i<12;i++) p[i]=0.;
317 p[6+1] = dydx1; // a21
318 p[6+2] = dzdx1; // a22
319 p[0+0] = -dzdx2; // a00
320 p[0+1] = -dydx1*dzdx2; // a01
321 p[0+2] = -dzdx1*dzdx2; // a02
323 fitter->AddPoint(p,value,sdzdx);
326 void AliTPCcalibAlign::Process9(Double_t *t1,
328 TLinearFitter *fitter) {
329 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
330 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
331 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
332 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
333 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
335 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
336 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
337 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
338 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
339 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
350 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
351 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
352 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a03)*dydx2
353 for (Int_t i=0; i<12;i++) p[i]=0.;
362 fitter->AddPoint(p,value,sy);
364 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
365 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
366 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a03)*dzdx2;
367 for (Int_t i=0; i<12;i++) p[i]=0.;
376 fitter->AddPoint(p,value,sz);
378 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
379 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
380 for (Int_t i=0; i<12;i++) p[i]=0.;
385 p[0+1] = -dydx1*dydx2;
386 p[0+2] = -dzdx1*dydx2;
388 fitter->AddPoint(p,value,sdydx);
390 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
391 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
392 for (Int_t i=0; i<12;i++) p[i]=0.;
397 p[0+1] = -dydx1*dzdx2;
398 p[0+2] = -dzdx1*dzdx2;
400 fitter->AddPoint(p,value,sdzdx);
403 void AliTPCcalibAlign::Process6(Double_t *t1,
405 TLinearFitter *fitter) {
406 // x2 = 1 *x1 +-a01*y1 + 0 +a03
407 // y2 = a01*x1 + 1 *y1 + 0 +a13
408 // z2 = a20*x1 + a21*y1 + 1 *z1 +a23
409 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
410 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
412 // 1 -a01 0 a03 x -p[0] x p[3]
413 // a10 1 0 a13 ==> p[0] x x p[4]
414 // a20 a21 1 a23 p[1] p[2] x p[5]
415 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
416 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
421 Double_t sdydx = 0.001;
422 Double_t sdzdx = 0.001;
427 // x2 = 1 *x1 +-a01*y1 + 0 +a03
428 // y2 = a01*x1 + 1 *y1 + 0 +a13
429 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
430 for (Int_t i=0; i<12;i++) p[i]=0.;
439 fitter->AddPoint(p,value,sy);
441 // x2 = 1 *x1 +-a01*y1 + 0 + a03
442 // z2 = a20*x1 + a21*y1 + 1 *z1 + a23
443 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 +a03)*dzdx2;
444 for (Int_t i=0; i<12;i++) p[i]=0.;
453 fitter->AddPoint(p,value,sz);
455 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
456 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
457 for (Int_t i=0; i<12;i++) p[i]=0.;
462 p[0+1] = -dydx1*dydx2;
463 p[0+2] = -dzdx1*dydx2;
465 fitter->AddPoint(p,value,sdydx);
467 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
468 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
469 for (Int_t i=0; i<12;i++) p[i]=0.;
474 p[0+1] = -dydx1*dzdx2;
475 p[0+2] = -dzdx1*dzdx2;
477 fitter->AddPoint(p,value,sdzdx);
483 void AliTPCcalibAlign::EvalFitters() {
487 // Perform the fitting using linear fitters
489 Int_t kMinPoints =50;
491 TFile fff("alignDebug.root","recreate");
492 for (Int_t s1=0;s1<72;++s1)
493 for (Int_t s2=0;s2<72;++s2){
494 if ((f=GetFitter12(s1,s2))&&fPoints[72*s1+s2]>kMinPoints) {
495 // cerr<<s1<<","<<s2<<": "<<fPoints[72*s1+s2]<<endl;
497 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
498 f->Write(Form("f12_%d_%d",s1,s2));
500 f->Write(Form("f12_%d_%d",s1,s2));
503 if ((f=GetFitter9(s1,s2))&&fPoints[72*s1+s2]>kMinPoints) {
504 // cerr<<s1<<","<<s2<<": "<<fPoints[72*s1+s2]<<endl;
506 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
508 f->Write(Form("f9_%d_%d",s1,s2));
511 if ((f=GetFitter6(s1,s2))&&fPoints[72*s1+s2]>kMinPoints) {
512 // cerr<<s1<<","<<s2<<": "<<fPoints[72*s1+s2]<<endl;
514 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
516 f->Write(Form("f6_%d_%d",s1,s2));
520 this->Write("align");
525 chi212 = align->GetChisquare()/(4.*entries);
529 align->GetParameters(par);
530 align->GetCovarianceMatrix(mat);
534 for (Int_t i=0; i<12;i++){
535 palign12(i)= par(i+1);
536 for (Int_t j=0; j<12;j++){
537 pcovar12(i,j) = mat(i+1,j+1);
538 pcovar12(i,j) *= chi212;
542 for (Int_t i=0; i<12;i++){
543 psigma12(i) = TMath::Sqrt(pcovar12(i,i));
544 palignR12(i) = palign12(i)/TMath::Sqrt(pcovar12(i,i));
545 for (Int_t j=0; j<12;j++){
546 pcovarN12(i,j) = pcovar12(i,j)/TMath::Sqrt(pcovar12(i,i)*pcovar12(j,j));
552 Bool_t AliTPCcalibAlign::GetTransformation12(Int_t s1,Int_t s2,TMatrixD &a) {
553 if (!GetFitter12(s1,s2))
558 GetFitter12(s1,s2)->GetParameters(p);
581 Bool_t AliTPCcalibAlign::GetTransformation9(Int_t s1,Int_t s2,TMatrixD &a) {
582 if (!GetFitter9(s1,s2))
586 GetFitter9(s1,s2)->GetParameters(p);
608 Bool_t AliTPCcalibAlign::GetTransformation6(Int_t s1,Int_t s2,TMatrixD &a) {
609 if (!GetFitter6(s1,s2))
614 GetFitter6(s1,s2)->GetParameters(p);