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46ae650f 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// Implementation of the derived class for track residuals
18// based on linear chi2 minimization (in approximation of
19// small alignment angles and translations)
20//
21//-----------------------------------------------------------------
22
23#include <TMinuit.h>
24#include <TGeoMatrix.h>
25
cc345ce3 26#include "AliLog.h"
46ae650f 27#include "AliAlignObj.h"
28#include "AliTrackPointArray.h"
29#include "AliTrackResidualsFast.h"
30
31ClassImp(AliTrackResidualsFast)
32
33//______________________________________________________________________________
75e3794b 34AliTrackResidualsFast::AliTrackResidualsFast():
35 AliTrackResiduals(),
36 fSumR(0)
46ae650f 37{
38 // Default constructor
cc345ce3 39 for (Int_t i = 0; i < 27; i++) fSum[i] = 0;
46ae650f 40}
41
42//______________________________________________________________________________
43AliTrackResidualsFast::AliTrackResidualsFast(Int_t ntracks):
75e3794b 44 AliTrackResiduals(ntracks),
45 fSumR(0)
46ae650f 46{
47 // Constructor
cc345ce3 48 for (Int_t i = 0; i < 27; i++) fSum[i] = 0;
46ae650f 49}
50
51//______________________________________________________________________________
52AliTrackResidualsFast::AliTrackResidualsFast(const AliTrackResidualsFast &res):
75e3794b 53 AliTrackResiduals(res),
54 fSumR(res.fSumR)
46ae650f 55{
56 // Copy constructor
cc345ce3 57 for (Int_t i = 0; i < 27; i++) fSum[i] = res.fSum[i];
46ae650f 58}
59
60//______________________________________________________________________________
61AliTrackResidualsFast &AliTrackResidualsFast::operator= (const AliTrackResidualsFast& res)
62{
63 // Assignment operator
64 ((AliTrackResiduals *)this)->operator=(res);
cc345ce3 65 for (Int_t i = 0; i < 27; i++) fSum[i] = res.fSum[i];
46ae650f 66 fSumR = res.fSumR;
67
68 return *this;
69}
70
71//______________________________________________________________________________
72Bool_t AliTrackResidualsFast::Minimize()
73{
74 // Implementation of fast linear Chi2
75 // based minimization of track residuals sum
cc345ce3 76 for (Int_t i = 0; i < 27; i++) fSum[i] = 0;
46ae650f 77 fSumR = 0;
78
79 AliTrackPoint p1,p2;
80
81 for (Int_t itrack = 0; itrack < fLast; itrack++) {
82 if (!fVolArray[itrack] || !fTrackArray[itrack]) continue;
83 for (Int_t ipoint = 0; ipoint < fVolArray[itrack]->GetNPoints(); ipoint++) {
84 fVolArray[itrack]->GetPoint(p1,ipoint);
85 fTrackArray[itrack]->GetPoint(p2,ipoint);
86 AddPoints(p1,p2);
87 }
88 }
89
90 return Update();
91
92 // debug info
93// Float_t chi2 = 0;
94// for (Int_t itrack = 0; itrack < fLast; itrack++) {
95// if (!fVolArray[itrack] || !fTrackArray[itrack]) continue;
96// for (Int_t ipoint = 0; ipoint < fVolArray[itrack]->GetNPoints(); ipoint++) {
97// fVolArray[itrack]->GetPoint(p1,ipoint);
98// fAlignObj->Transform(p1);
99// fTrackArray[itrack]->GetPoint(p2,ipoint);
100// Float_t residual = p2.GetResidual(p1,kFALSE);
101// chi2 += residual;
102// }
103// }
104// printf("Final chi2 = %f\n",chi2);
105}
106
107//______________________________________________________________________________
108void AliTrackResidualsFast::AddPoints(AliTrackPoint &p, AliTrackPoint &pprime)
109{
110 // Update the sums used for
111 // the linear chi2 minimization
112 Float_t xyz[3],xyzp[3];
cc345ce3 113 Float_t cov[6],covp[6];
114 p.GetXYZ(xyz,cov); pprime.GetXYZ(xyzp,covp);
115 TMatrixDSym mcov(3);
116 mcov(0,0) = cov[0]; mcov(0,1) = cov[1]; mcov(0,2) = cov[2];
117 mcov(1,0) = cov[1]; mcov(1,1) = cov[3]; mcov(1,2) = cov[4];
118 mcov(2,0) = cov[2]; mcov(2,1) = cov[4]; mcov(2,2) = cov[5];
119 TMatrixDSym mcovp(3);
120 mcovp(0,0) = covp[0]; mcovp(0,1) = covp[1]; mcovp(0,2) = covp[2];
121 mcovp(1,0) = covp[1]; mcovp(1,1) = covp[3]; mcovp(1,2) = covp[4];
122 mcovp(2,0) = covp[2]; mcovp(2,1) = covp[4]; mcovp(2,2) = covp[5];
123 TMatrixDSym msum = mcov + mcovp;
124 msum.Invert();
125 if (!msum.IsValid()) return;
126
127 TMatrixD sums(3,1);
128 sums(0,0) = (xyzp[0]-xyz[0]);
129 sums(1,0) = (xyzp[1]-xyz[1]);
130 sums(2,0) = (xyzp[2]-xyz[2]);
131 TMatrixD sumst = sums.T(); sums.T();
132
133 TMatrixD mf(3,6);
134 mf(0,0) = 1; mf(1,0) = 0; mf(2,0) = 0;
135 mf(0,1) = 0; mf(1,1) = 1; mf(2,1) = 0;
136 mf(0,2) = 0; mf(1,2) = 0; mf(2,2) = 1;
137 mf(0,3) = 0; mf(1,3) =-xyz[2]; mf(2,3) = xyz[1];
138 mf(0,4) = xyz[2]; mf(1,4) = 0; mf(2,4) =-xyz[0];
139 mf(0,5) =-xyz[1]; mf(1,5) = xyz[0]; mf(2,5) = 0;
140 TMatrixD mft = mf.T(); mf.T();
141 TMatrixD sums2 = mft * msum * sums;
142
143 TMatrixD smatrix = mft * msum * mf;
144
145 fSum[0] += smatrix(0,0);
146 fSum[1] += smatrix(0,1);
147 fSum[2] += smatrix(0,2);
148 fSum[3] += smatrix(0,3);
149 fSum[4] += smatrix(0,4);
150 fSum[5] += smatrix(0,5);
151 fSum[6] += smatrix(1,1);
152 fSum[7] += smatrix(1,2);
153 fSum[8] += smatrix(1,3);
154 fSum[9] += smatrix(1,4);
155 fSum[10]+= smatrix(1,5);
156 fSum[11]+= smatrix(2,2);
157 fSum[12]+= smatrix(2,3);
158 fSum[13]+= smatrix(2,4);
159 fSum[14]+= smatrix(2,5);
160 fSum[15]+= smatrix(3,3);
161 fSum[16]+= smatrix(3,4);
162 fSum[17]+= smatrix(3,5);
163 fSum[18]+= smatrix(4,4);
164 fSum[19]+= smatrix(4,5);
165 fSum[20]+= smatrix(5,5);
166 fSum[21] += sums2(0,0);
167 fSum[22] += sums2(1,0);
168 fSum[23] += sums2(2,0);
169 fSum[24] += sums2(3,0);
170 fSum[25] += sums2(4,0);
171 fSum[26] += sums2(5,0);
172
173 TMatrixD tmp = sumst * msum * sums;
174 fSumR += tmp(0,0);
46ae650f 175
176 fNdf += 3;
177}
178
179//______________________________________________________________________________
180Bool_t AliTrackResidualsFast::Update()
181{
182 // Find the alignment parameters
183 // by using the already accumulated
184 // sums
185 TMatrixDSym smatrix(6);
186 TMatrixD sums(1,6);
187
3bbfb291 188 smatrix(0,0) = fSum[0];
189 smatrix(0,1) = smatrix(1,0) = fSum[1];
190 smatrix(0,2) = smatrix(2,0) = fSum[2];
191 smatrix(0,3) = smatrix(3,0) = fSum[3];
192 smatrix(0,4) = smatrix(4,0) = fSum[4];
193 smatrix(0,5) = smatrix(5,0) = fSum[5];
194 smatrix(1,1) = fSum[6];
195 smatrix(1,2) = smatrix(2,1) = fSum[7];
196 smatrix(1,3) = smatrix(3,1) = fSum[8];
197 smatrix(1,4) = smatrix(4,1) = fSum[9];
198 smatrix(1,5) = smatrix(5,1) = fSum[10];
199 smatrix(2,2) = fSum[11];
200 smatrix(2,3) = smatrix(3,2) = fSum[12];
201 smatrix(2,4) = smatrix(4,2) = fSum[13];
202 smatrix(2,5) = smatrix(5,2) = fSum[14];
203 smatrix(3,3) = fSum[15];
204 smatrix(3,4) = smatrix(4,3) = fSum[16];
205 smatrix(3,5) = smatrix(5,3) = fSum[17];
206 smatrix(4,4) = fSum[18];
207 smatrix(4,5) = smatrix(5,4) = fSum[19];
cc345ce3 208 smatrix(5,5) = fSum[20];
209
210 sums(0,0) = fSum[21]; sums(0,1) = fSum[22]; sums(0,2) = fSum[23];
211 sums(0,3) = fSum[24]; sums(0,4) = fSum[25]; sums(0,5) = fSum[26];
46ae650f 212
213 smatrix.Invert();
214 if (!smatrix.IsValid()) return kFALSE;
215
216 TMatrixD res = sums*smatrix;
217 fAlignObj->SetPars(res(0,0),res(0,1),res(0,2),
218 TMath::RadToDeg()*res(0,3),
219 TMath::RadToDeg()*res(0,4),
220 TMath::RadToDeg()*res(0,5));
221 TMatrixD tmp = res*sums.T();
222 fChi2 = fSumR - tmp(0,0);
223 fNdf -= 6;
224
225 return kTRUE;
226}