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TFitParticleMCSpher.cc
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1 // Classname: TFitParticleMCSpher
2 // Author: Jan E. Sundermann, Verena Klose (TU Dresden)
3 
4 //________________________________________________________________
5 //
6 // TFitParticleMCSpher::
7 // --------------------
8 //
9 // Particle with spherical parametrization of the momentum 4vector and
10 // constant mass (3 free parameters). The parametrization is chosen as
11 // follows:
12 //
13 // p = (r, theta, phi)
14 // E(fit) = Sqrt( |p|^2 + m^2 )
15 //
16 
17 #include <iostream>
20 #include "TMath.h"
21 
22 //----------------
23 // Constructor --
24 //----------------
26 
28  : TAbsFitParticle(fitParticle.GetName(), fitParticle.GetTitle()) {
29  _nPar = fitParticle._nPar;
30  _u1 = fitParticle._u1;
31  _u2 = fitParticle._u2;
32  _u3 = fitParticle._u3;
33  _covMatrix.ResizeTo(fitParticle._covMatrix);
34  _covMatrix = fitParticle._covMatrix;
35  _iniparameters.ResizeTo(fitParticle._iniparameters);
36  _iniparameters = fitParticle._iniparameters;
37  _parameters.ResizeTo(fitParticle._parameters);
38  _parameters = fitParticle._parameters;
39  _pini = fitParticle._pini;
40  _pcurr = fitParticle._pcurr;
41 }
42 
43 TFitParticleMCSpher::TFitParticleMCSpher(TVector3* p, Double_t M, const TMatrixD* theCovMatrix) : TAbsFitParticle() {
44  init(p, M, theCovMatrix);
45 }
46 
48  const TString& name, const TString& title, TVector3* p, Double_t M, const TMatrixD* theCovMatrix)
50  init(p, M, theCovMatrix);
51 }
52 
53 TAbsFitParticle* TFitParticleMCSpher::clone(const TString& newname) const {
54  // Returns a copy of itself
55 
56  TAbsFitParticle* myclone = new TFitParticleMCSpher(*this);
57  if (newname.Length() > 0)
58  myclone->SetName(newname);
59  return myclone;
60 }
61 
62 //--------------
63 // Destructor --
64 //--------------
66 
67 //--------------
68 // Operations --
69 //--------------
70 void TFitParticleMCSpher::init(TVector3* p, Double_t M, const TMatrixD* theCovMatrix) {
71  _nPar = 3;
72  setIni4Vec(p, M);
73  setCovMatrix(theCovMatrix);
74 }
75 
76 TLorentzVector* TFitParticleMCSpher::calc4Vec(const TMatrixD* params) {
77  // Calculates a 4vector corresponding to the given
78  // parameter values
79 
80  if (params == nullptr) {
81  return nullptr;
82  }
83 
84  if (params->GetNcols() != 1 || params->GetNrows() != _nPar) {
85  edm::LogError("WrongMatrixSize") << GetName() << "::calc4Vec - Parameter matrix has wrong size.";
86  return nullptr;
87  }
88 
89  Double_t r = (*params)(0, 0);
90  Double_t theta = (*params)(1, 0);
91  Double_t phi = (*params)(2, 0);
92 
93  Double_t X = r * TMath::Cos(phi) * TMath::Sin(theta);
94  Double_t Y = r * TMath::Sin(phi) * TMath::Sin(theta);
95  Double_t Z = r * TMath::Cos(theta);
96  Double_t E = TMath::Sqrt(X * X + Y * Y + Z * Z + _pini.M2());
97 
98  TLorentzVector* vec = new TLorentzVector(X, Y, Z, E);
99  return vec;
100 }
101 
102 void TFitParticleMCSpher::setIni4Vec(const TLorentzVector* pini) {
103  // Set the initial 4vector. Will also set the
104  // inital parameter values
105 
106  TVector3 vec(pini->Vect());
107  setIni4Vec(&vec, pini->M());
108 }
109 
110 void TFitParticleMCSpher::setIni4Vec(const TVector3* p, Double_t M) {
111  // Set the initial 4vector. Will also set the
112  // inital parameter values
113 
114  if (p == nullptr) {
115  _u1.SetXYZ(0., 0., 0.);
116  _u3.SetXYZ(0., 0., 0.);
117  _u2.SetXYZ(0., 0., 0.);
118  _pini.SetXYZM(0., 0., 0., M);
119  _pcurr = _pini;
120 
121  _iniparameters.ResizeTo(_nPar, 1);
122  _iniparameters(0, 0) = 0.;
123  _parameters.ResizeTo(_nPar, 1);
125 
126  } else {
127  _pini.SetXYZM(p->x(), p->y(), p->z(), M);
128  _pcurr = _pini;
129 
130  Double_t r = _pini.P();
131  Double_t theta = _pini.Theta();
132  Double_t phi = _pini.Phi();
133 
134  _iniparameters.ResizeTo(_nPar, 1);
135  _iniparameters(0, 0) = r;
136  _iniparameters(1, 0) = theta;
137  _iniparameters(2, 0) = phi;
138  _parameters.ResizeTo(_nPar, 1);
140 
141  _u1.SetXYZ(TMath::Cos(phi) * TMath::Sin(theta), TMath::Sin(phi) * TMath::Sin(theta), TMath::Cos(theta));
142  _u2.SetXYZ(TMath::Cos(phi) * TMath::Cos(theta), TMath::Sin(phi) * TMath::Cos(theta), -1. * TMath::Sin(theta));
143  _u3.SetXYZ(-1. * TMath::Sin(phi), TMath::Cos(phi), 0.);
144  }
145 }
146 
148  // returns derivative dP/dy with P=(p,E) and y=(r, theta, phi)
149  // the free parameters of the fit. The columns of the matrix contain
150  // (dP/dr, dP/dtheta, ...).
151 
152  TMatrixD* DerivativeMatrix = new TMatrixD(4, 3);
153  (*DerivativeMatrix) *= 0.;
154 
155  Double_t r = _parameters(0, 0);
156  Double_t theta = _parameters(1, 0);
157  Double_t phi = _parameters(2, 0);
158 
159  //1st column: dP/dr
160  (*DerivativeMatrix)(0, 0) = TMath::Cos(phi) * TMath::Sin(theta);
161  (*DerivativeMatrix)(1, 0) = TMath::Sin(phi) * TMath::Sin(theta);
162  (*DerivativeMatrix)(2, 0) = TMath::Cos(theta);
163  (*DerivativeMatrix)(3, 0) = r / _pcurr.E();
164 
165  //2nd column: dP/dtheta
166  (*DerivativeMatrix)(0, 1) = r * TMath::Cos(phi) * TMath::Cos(theta);
167  (*DerivativeMatrix)(1, 1) = r * TMath::Sin(phi) * TMath::Cos(theta);
168  (*DerivativeMatrix)(2, 1) = -1. * r * TMath::Sin(theta);
169  (*DerivativeMatrix)(3, 1) = 0.;
170 
171  //3rd column: dP/dphi
172  (*DerivativeMatrix)(0, 2) = -1. * r * TMath::Sin(phi) * TMath::Sin(theta);
173  (*DerivativeMatrix)(1, 2) = r * TMath::Cos(phi) * TMath::Sin(theta);
174  ;
175  (*DerivativeMatrix)(2, 2) = 0.;
176  (*DerivativeMatrix)(3, 2) = 0.;
177 
178  return DerivativeMatrix;
179 }
180 
181 TMatrixD* TFitParticleMCSpher::transform(const TLorentzVector& vec) {
182  // Returns the parameters corresponding to the given
183  // 4vector
184 
185  // retrieve parameters
186  TMatrixD* tparams = new TMatrixD(_nPar, 1);
187  (*tparams)(0, 0) = vec.P();
188  (*tparams)(1, 0) = vec.Theta();
189  (*tparams)(2, 0) = vec.Phi();
190 
191  return tparams;
192 }
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