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source: git/external/TrackCovariance/ObsTrk.cc@ 3051ea17

Last change on this file since 3051ea17 was 942a705, checked in by Michele Selvaggi <michele.selvaggi@…>, 4 years ago

updated to ACTS compliant ObsTrk class

  • Property mode set to 100644
File size: 5.8 KB
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1#include <TMath.h>
2#include <TVector3.h>
3#include <TMatrixD.h>
4#include <TMatrixDSym.h>
5#include <TDecompChol.h>
6#include <TRandom.h>
7#include <iostream>
8#include "SolGridCov.h"
9#include "ObsTrk.h"
10//
11// Constructors
12// x(3) track origin, p(3) track momentum at origin, Q charge, B magnetic field in Tesla
13ObsTrk::ObsTrk(TVector3 x, TVector3 p, Double_t Q, Double_t B, SolGridCov *GC)
14{
15 fGC = GC;
16 fGenX = x;
17 fGenP = p;
18 fGenQ = Q;
19 fB = B;
20 fGenPar.ResizeTo(5);
21 fGenParACTS.ResizeTo(6);
22 fObsPar.ResizeTo(5);
23 fObsParACTS.ResizeTo(6);
24 fCov.ResizeTo(5, 5);
25 fCovACTS.ResizeTo(6, 6);
26 fGenPar = XPtoPar(x,p,Q);
27 fGenParACTS = ParToACTS(fGenPar);
28 /*
29 std::cout << "ObsTrk::ObsTrk: fGenPar";
30 for (Int_t i = 0; i < 5; i++)std::cout << fGenPar(i) << ", ";
31 std::cout << std::endl;
32 */
33 fObsPar = GenToObsPar(fGenPar, fGC);
34 fObsParACTS = ParToACTS(fObsPar);
35 fObsX = ParToX(fObsPar);
36 fObsP = ParToP(fObsPar);
37 fObsQ = ParToQ(fObsPar);
38 fCovACTS = CovToACTS(fCov);
39}
40//
41// Destructor
42ObsTrk::~ObsTrk()
43{
44 fGenX.Clear();
45 fGenP.Clear();
46 fGenPar.Clear();
47 fGenParACTS.Clear();
48 fObsX.Clear();
49 fObsP.Clear();
50 fObsPar.Clear();
51 fObsParACTS.Clear();
52 fCov.Clear();
53 fCovACTS.Clear();
54}
55TVectorD ObsTrk::XPtoPar(TVector3 x, TVector3 p, Double_t Q)
56{
57 //
58 TVectorD Par(5);
59 // Transverse parameters
60 Double_t a = -Q*fB*0.2998; // Units are Tesla, GeV and meters
61 Double_t pt = p.Pt();
62 Double_t C = a / (2 * pt); // Half curvature
63 //std::cout << "ObsTrk::XPtoPar: fB = " << fB << ", a = " << a << ", pt = " << pt << ", C = " << C << std::endl;
64 Double_t r2 = x.Perp2();
65 Double_t cross = x(0)*p(1) - x(1)*p(0);
66 Double_t T = TMath::Sqrt(pt*pt - 2 * a*cross + a*a*r2);
67 Double_t phi0 = TMath::ATan2((p(1) - a*x(0)) / T, (p(0) + a*x(1)) / T); // Phi0
68 Double_t D; // Impact parameter D
69 if (pt < 10.0) D = (T - pt) / a;
70 else D = (-2 * cross + a*r2) / (T + pt);
71 //
72 Par(0) = D; // Store D
73 Par(1) = phi0; // Store phi0
74 Par(2) = C; // Store C
75 //Longitudinal parameters
76 Double_t B = C*TMath::Sqrt(TMath::Max(r2 - D*D,0.0) / (1 + 2 * C*D));
77 Double_t st = TMath::ASin(B) / C;
78 Double_t ct = p(2) / pt;
79 Double_t z0 = x(2) - ct*st;
80 //
81 Par(3) = z0; // Store z0
82 Par(4) = ct; // Store cot(theta)
83 //
84 return Par;
85}
86//
87TVector3 ObsTrk::ParToX(TVectorD Par)
88{
89 Double_t D = Par(0);
90 Double_t phi0 = Par(1);
91 Double_t z0 = Par(3);
92 //
93 TVector3 Xval;
94 Xval(0) = -D*TMath::Sin(phi0);
95 Xval(1) = D*TMath::Cos(phi0);
96 Xval(2) = z0;
97 //
98 return Xval;
99}
100//
101TVector3 ObsTrk::ParToP(TVectorD Par)
102{
103 Double_t C = Par(2);
104 Double_t phi0 = Par(1);
105 Double_t ct = Par(4);
106 //
107 TVector3 Pval;
108 Double_t pt = fB*0.2998 / TMath::Abs(2 * C);
109 Pval(0) = pt*TMath::Cos(phi0);
110 Pval(1) = pt*TMath::Sin(phi0);
111 Pval(2) = pt*ct;
112 //
113 return Pval;
114}
115//
116
117Double_t ObsTrk::ParToQ(TVectorD Par)
118{
119 return TMath::Sign(1.0, -Par(2));
120}
121//
122TVectorD ObsTrk::GenToObsPar(TVectorD gPar, SolGridCov *GC)
123{
124 TVector3 p = ParToP(gPar);
125 Double_t pt = p.Pt();
126 Double_t tanTh = 1.0 / TMath::Abs(gPar(4));
127 Double_t angd = TMath::ATan(tanTh)*180. / TMath::Pi();
128 //
129 // Check ranges
130 Double_t minPt = GC->GetMinPt ();
131 if (pt < minPt) std::cout << "Warning ObsTrk::GenToObsPar: pt " << pt << " is below grid range of " << minPt << std::endl;
132 Double_t maxPt = GC->GetMaxPt();
133 if (pt > maxPt) std::cout << "Warning ObsTrk::GenToObsPar: pt " << pt << " is above grid range of " << maxPt << std::endl;
134 Double_t minAn = GC->GetMinAng();
135 if (angd < minAn) std::cout << "Warning ObsTrk::GenToObsPar: angle " << angd
136 << " is below grid range of " << minAn << std::endl;
137 Double_t maxAn = GC->GetMaxAng();
138 if (angd > maxAn) std::cout << "Warning ObsTrk::GenToObsPar: angle " << angd
139 << " is above grid range of " << maxAn << std::endl;
140 //
141 TMatrixDSym Cov = GC->GetCov(pt, angd);
142 fCov = Cov;
143 //
144 // Now do Choleski decomposition and random number extraction, with appropriate stabilization
145 //
146 TMatrixDSym CvN = Cov;
147 TMatrixDSym DCv(5); DCv.Zero();
148 TMatrixDSym DCvInv(5); DCvInv.Zero();
149 for (Int_t id = 0; id < 5; id++)
150 {
151 Double_t dVal = TMath::Sqrt(Cov(id, id));
152 DCv (id, id) = dVal;
153 DCvInv(id, id) = 1.0 / dVal;
154 }
155 CvN.Similarity(DCvInv); // Normalize diagonal to 1
156 TDecompChol Chl(CvN);
157 Bool_t OK = Chl.Decompose(); // Choleski decomposition of normalized matrix
158 TMatrixD U = Chl.GetU(); // Get Upper triangular matrix
159 TMatrixD Ut(TMatrixD::kTransposed, U); // Transposed of U (lower triangular)
160 TVectorD r(5);
161 for (Int_t i = 0; i < 5; i++)r(i) = gRandom->Gaus(0.0, 1.0); // Array of normal random numbers
162 TVectorD oPar = gPar + DCv*(Ut*r); // Observed parameter vector
163 //
164 return oPar;
165}
166// Parameter conversion to ACTS format
167TVectorD ObsTrk::ParToACTS(TVectorD Par)
168{
169 TVectorD pACTS(6); // Return vector
170 //
171 Double_t b = -0.29988*fB / 2.;
172 pACTS(0) = 1000*Par(0); // D from m to mm
173 pACTS(1) = 1000 * Par(3); // z0 from m to mm
174 pACTS(2) = Par(1); // Phi0 is unchanged
175 pACTS(3) = TMath::ATan(1.0 / Par(4)) + TMath::PiOver2(); // Theta in [0, pi] range
176 pACTS(4) = Par(2) / (b*TMath::Sqrt(1 + Par(4)*Par(4))); // q/p in GeV
177 pACTS(5) = 0.0; // Time: currently undefined
178 //
179 return pACTS;
180}
181// Covariance conversion to ACTS format
182TMatrixDSym ObsTrk::CovToACTS(TMatrixDSym Cov)
183{
184 TMatrixDSym cACTS(6); cACTS.Zero();
185 Double_t b = -0.29988*fB / 2.;
186 //
187 // Fill derivative matrix
188 TMatrixD A(5, 5); A.Zero();
189 Double_t ct = fGenPar(4); // cot(theta)
190 Double_t C = fGenPar(2); // half curvature
191 A(0, 0) = 1000.; // D-D conversion to mm
192 A(1, 2) = 1.0; // phi0-phi0
193 A(2, 4) = 1.0/(TMath::Sqrt(1.0 + ct*ct) * b); // q/p-C
194 A(3, 1) = 1000.; // z0-z0 conversion to mm
195 A(4, 3) = -1.0 / (1.0 + ct*ct); // theta - cot(theta)
196 A(4, 4) = -C*ct / (b*pow(1.0 + ct*ct,3.0/2.0)); // q/p-cot(theta)
197 //
198 TMatrixDSym Cv = Cov;
199 TMatrixD At(5, 5);
200 At.Transpose(A);
201 Cv.Similarity(At);
202 TMatrixDSub(cACTS, 0, 4, 0, 4) = Cv;
203 cACTS(5, 5) = 0.1; // Currently undefined: set to arbitrary value to avoid crashes
204 //
205 return cACTS;
206}
207
208
209
210
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