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"
41 ClassImp(AliTPCcalibAlign)
43 AliTPCcalibAlign::AliTPCcalibAlign()
44 : fDphiHistArray(72*72),
45 fDthetaHistArray(72*72),
48 fFitterArray12(72*72),
55 for (Int_t i=0;i<72*72;++i) {
60 AliTPCcalibAlign::~AliTPCcalibAlign() {
66 void AliTPCcalibAlign::Process(AliTPCseed *seed) {
68 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kKalman,
71 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kLinear,
74 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kQuadratic,
77 AliTPCTracklet::CreateTracklets(seed,AliTPCTracklet::kRiemann,
80 if (tracklets.GetEntries()==2) {
81 AliTPCTracklet *t1=static_cast<AliTPCTracklet*>(tracklets[0]);
82 AliTPCTracklet *t2=static_cast<AliTPCTracklet*>(tracklets[1]);
83 if (t1->GetSector()>t2->GetSector()) {
84 AliTPCTracklet* tmp=t1;
88 AliExternalTrackParam *common1=0,*common2=0;
89 if (AliTPCTracklet::PropagateToMeanX(*t1,*t2,common1,common2))
90 ProcessTracklets(*common1,*common2,t1->GetSector(),t2->GetSector());
97 void AliTPCcalibAlign::ProcessTracklets(const AliExternalTrackParam &tp1,
98 const AliExternalTrackParam &tp2,
101 if (s2-s1==36) {//only inner-outer
102 if (!fDphiHistArray[s1*72+s2]) {
105 name<<"hist_phi_"<<s1<<"_"<<s2;
106 title<<"Phi Missalignment for sectors "<<s1<<" and "<<s2;
107 fDphiHistArray[s1*72+s2]=new TH1D(name.str().c_str(),title.str().c_str(),1024,-0.01,0.01); // +/- 10 mrad
108 ((TH1D*)fDphiHistArray[s1*72+s2])->SetDirectory(0);
110 if (!fDthetaHistArray[s1*72+s2]) {
113 name<<"hist_theta_"<<s1<<"_"<<s2;
114 title<<"Theta Missalignment for sectors "<<s1<<" and "<<s2;
115 fDthetaHistArray[s1*72+s2]=new TH1D(name.str().c_str(),title.str().c_str(),1024,-0.01,0.01); // +/- 10 mrad
116 ((TH1D*)fDthetaHistArray[s1*72+s2])->SetDirectory(0);
118 if (!fDyHistArray[s1*72+s2]) {
121 name<<"hist_y_"<<s1<<"_"<<s2;
122 title<<"Y Missalignment for sectors "<<s1<<" and "<<s2;
123 fDyHistArray[s1*72+s2]=new TH1D(name.str().c_str(),title.str().c_str(),1024,-0.3,0.3); // +/- 3 mm
124 ((TH1D*)fDyHistArray[s1*72+s2])->SetDirectory(0);
126 if (!fDzHistArray[s1*72+s2]) {
129 name<<"hist_z_"<<s1<<"_"<<s2;
130 title<<"Z Missalignment for sectors "<<s1<<" and "<<s2;
131 fDzHistArray[s1*72+s2]=new TH1D(name.str().c_str(),title.str().c_str(),1024,-0.3,0.3); // +/- 3 mm
132 ((TH1D*)fDzHistArray[s1*72+s2])->SetDirectory(0);
134 static_cast<TH1D*>(fDphiHistArray[s1*72+s2])
135 ->Fill(TMath::ASin(tp1.GetSnp())
136 -TMath::ASin(tp2.GetSnp()));
137 static_cast<TH1D*>(fDthetaHistArray[s1*72+s2])
138 ->Fill(TMath::ATan(tp1.GetTgl())
139 -TMath::ATan(tp2.GetTgl()));
140 static_cast<TH1D*>(fDyHistArray[s1*72+s2])
143 static_cast<TH1D*>(fDzHistArray[s1*72+s2])
152 // Process function to fill fitters
154 Double_t t1[5],t2[5];
155 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
156 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3]/*, &dzdx2=t2[4]*/;
160 Double_t snp1=tp1.GetSnp();
161 dydx1=snp1/TMath::Sqrt(1.-snp1*snp1);
162 Double_t tgl1=tp1.GetTgl();
163 // dz/dx = 1/(cos(theta)*cos(phi))
164 dzdx1=1./TMath::Sqrt((1.+tgl1*tgl1)*(1.-snp1*snp1));
168 Double_t snp2=tp2.GetSnp();
169 dydx2=snp2/TMath::Sqrt(1.-snp2*snp2);
170 Double_t tgl2=tp2.GetTgl();
171 dzdx1=1./TMath::Sqrt((1.+tgl2*tgl2)*(1.-snp2*snp2));
173 Process12(t1,t2,GetOrMakeFitter12(s1,s2));
174 Process9(t1,t2,GetOrMakeFitter12(s1,s2));
175 Process6(t1,t2,GetOrMakeFitter12(s1,s2));
179 void AliTPCcalibAlign::Process12(Double_t *t1,
181 TLinearFitter *fitter) {
182 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
183 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
184 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
185 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
186 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
188 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
189 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
190 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
191 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
192 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
203 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
204 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
205 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
206 for (Int_t i=0; i<12;i++) p[i]=0.;
211 p[0+1] = y1*dydx2; // a01
212 p[0+2] = z1*dydx2; // a02
213 p[9+0] = dydx2; // a03
215 fitter->AddPoint(p,value,sy);
217 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
218 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
219 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 + a03)*dzdx2;
220 for (Int_t i=0; i<12;i++) p[i]=0.;
225 p[0+1] = y1*dzdx2; // a01
226 p[0+2] = z1*dzdx2; // a02
227 p[9+0] = dzdx2; // a03
229 fitter->AddPoint(p,value,sz);
231 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
232 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
233 for (Int_t i=0; i<12;i++) p[i]=0.;
235 p[3+1] = dydx1; // a11
236 p[3+2] = dzdx1; // a12
237 p[0+0] = -dydx2; // a00
238 p[0+1] = -dydx1*dydx2; // a01
239 p[0+2] = -dzdx1*dydx2; // a02
241 fitter->AddPoint(p,value,sdydx);
243 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
244 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
245 for (Int_t i=0; i<12;i++) p[i]=0.;
247 p[6+1] = dydx1; // a21
248 p[6+2] = dzdx1; // a22
249 p[0+0] = -dzdx2; // a00
250 p[0+1] = -dydx1*dzdx2; // a01
251 p[0+2] = -dzdx1*dzdx2; // a02
253 fitter->AddPoint(p,value,sdzdx);
256 void AliTPCcalibAlign::Process9(Double_t *t1,
258 TLinearFitter *fitter) {
259 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
260 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
261 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
262 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
263 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
265 // a00 a01 a02 a03 p[0] p[1] p[2] p[9]
266 // a10 a11 a12 a13 ==> p[3] p[4] p[5] p[10]
267 // a20 a21 a22 a23 p[6] p[7] p[8] p[11]
268 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
269 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
280 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
281 // y2 = a10*x1 + a11*y1 + a12*z1 + a13
282 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a03)*dydx2
283 for (Int_t i=0; i<12;i++) p[i]=0.;
292 fitter->AddPoint(p,value,sy);
294 // x2 = a00*x1 + a01*y1 + a02*z1 + a03
295 // z2 = a20*x1 + a21*y1 + a22*z1 + a23
296 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a03)*dzdx2;
297 for (Int_t i=0; i<12;i++) p[i]=0.;
306 fitter->AddPoint(p,value,sz);
308 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
309 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
310 for (Int_t i=0; i<12;i++) p[i]=0.;
315 p[0+1] = -dydx1*dydx2;
316 p[0+2] = -dzdx1*dydx2;
318 fitter->AddPoint(p,value,sdydx);
320 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
321 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
322 for (Int_t i=0; i<12;i++) p[i]=0.;
327 p[0+1] = -dydx1*dzdx2;
328 p[0+2] = -dzdx1*dzdx2;
330 fitter->AddPoint(p,value,sdzdx);
333 void AliTPCcalibAlign::Process6(Double_t *t1,
335 TLinearFitter *fitter) {
336 // x2 = 1 *x1 +-a01*y1 + 0 +a03
337 // y2 = a01*x1 + 1 *y1 + 0 +a13
338 // z2 = a20*x1 + a21*y1 + 1 *z1 +a23
339 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
340 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/(a00 + a01*dydx1 + a02*dzdx1)
342 // 1 -a01 0 a03 x -p[0] x p[3]
343 // a10 1 0 a13 ==> p[0] x x p[4]
344 // a20 a21 1 a23 p[1] p[2] x p[5]
345 Double_t &x1=t1[0], &y1=t1[1], &z1=t1[2], &dydx1=t1[3], &dzdx1=t1[4];
346 Double_t /*&x2=t2[0],*/ &y2=t2[1], &z2=t2[2], &dydx2=t2[3], &dzdx2=t2[4];
357 // x2 = 1 *x1 +-a01*y1 + 0 +a03
358 // y2 = a01*x1 + 1 *y1 + 0 +a13
359 // y2' = a10*x1 + a11*y1 + a12*z1 + a13 + (a01*y1 + a02*z1 + a03)*dydx2
360 for (Int_t i=0; i<12;i++) p[i]=0.;
369 fitter->AddPoint(p,value,sy);
371 // x2 = 1 *x1 +-a01*y1 + 0 + a03
372 // z2 = a20*x1 + a21*y1 + 1 *z1 + a23
373 // z2' = a20*x1 + a21*y1 + a22*z1 + a23 + (a01*y1 + a02*z1 +a03)*dzdx2;
374 for (Int_t i=0; i<12;i++) p[i]=0.;
383 fitter->AddPoint(p,value,sz);
385 // dydx2 = (a10 + a11*dydx1 + a12*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
386 // (a10 + a11*dydx1 + a12*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dydx2 = 0
387 for (Int_t i=0; i<12;i++) p[i]=0.;
392 p[0+1] = -dydx1*dydx2;
393 p[0+2] = -dzdx1*dydx2;
395 fitter->AddPoint(p,value,sdydx);
397 // dzdx2 = (a20 + a21*dydx1 + a22*dzdx1)/( a00 + a01*dydx1 + a02*dzdx1)
398 // (a20 + a21*dydx1 + a22*dzdx1) - (a00 + a01*dydx1 + a02*dzdx1)*dzdx2 = 0
399 for (Int_t i=0; i<12;i++) p[i]=0.;
404 p[0+1] = -dydx1*dzdx2;
405 p[0+2] = -dzdx1*dzdx2;
407 fitter->AddPoint(p,value,sdzdx);
410 void AliTPCcalibAlign::Eval() {
412 for (Int_t s1=0;s1<72;++s1)
413 for (Int_t s2=0;s2<72;++s2)
414 if ((f=GetFitter12(s1,s2))&&fPoints[72*s1+s2]>12) {
415 // cerr<<s1<<","<<s2<<": "<<fPoints[72*s1+s2]<<endl;
417 cerr<<"Evaluation failed for "<<s1<<","<<s2<<endl;
424 chi212 = align->GetChisquare()/(4.*entries);
428 align->GetParameters(par);
429 align->GetCovarianceMatrix(mat);
433 for (Int_t i=0; i<12;i++){
434 palign12(i)= par(i+1);
435 for (Int_t j=0; j<12;j++){
436 pcovar12(i,j) = mat(i+1,j+1);
437 pcovar12(i,j) *= chi212;
441 for (Int_t i=0; i<12;i++){
442 psigma12(i) = TMath::Sqrt(pcovar12(i,i));
443 palignR12(i) = palign12(i)/TMath::Sqrt(pcovar12(i,i));
444 for (Int_t j=0; j<12;j++){
445 pcovarN12(i,j) = pcovar12(i,j)/TMath::Sqrt(pcovar12(i,i)*pcovar12(j,j));
451 Bool_t AliTPCcalibAlign::GetTransformation12(Int_t s1,Int_t s2,TMatrixD &a) {
452 if (!GetFitter12(s1,s2))
457 GetFitter12(s1,s2)->GetParameters(p);
480 Bool_t AliTPCcalibAlign::GetTransformation9(Int_t s1,Int_t s2,TMatrixD &a) {
481 if (!GetFitter9(s1,s2))
485 GetFitter9(s1,s2)->GetParameters(p);
507 Bool_t AliTPCcalibAlign::GetTransformation6(Int_t s1,Int_t s2,TMatrixD &a) {
508 if (!GetFitter6(s1,s2))
513 GetFitter6(s1,s2)->GetParameters(p);