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00001 #include "RecoVertex/KinematicFitPrimitives/interface/KinematicPerigeeConversions.h"
00002 #include "TrackingTools/TrajectoryState/interface/PerigeeConversions.h"
00003 
00004 
00005 ExtendedPerigeeTrajectoryParameters
00006 KinematicPerigeeConversions::extendedPerigeeFromKinematicParameters(
00007         const KinematicState& state, const GlobalPoint& point) const
00008 {
00009 //making an extended perigee parametrization
00010 //out of kinematic state and point defined
00011  AlgebraicVector6 res;
00012  res(5) = state.mass();
00013 //  AlgebraicVector7 par = state.kinematicParameters().vector();
00014  GlobalVector impactDistance = state.globalPosition() - point;
00015  double theta = state.globalMomentum().theta();
00016  double phi = state.globalMomentum().phi();
00017  double pt  = state.globalMomentum().transverse();
00018 //  double field = MagneticField::inGeVPerCentimeter(state.globalPosition()).z();
00019   double field  = state.magneticField()->inInverseGeV(state.globalPosition()).z();
00020 // double signTC = -state.particleCharge();
00021 // double transverseCurvature = field/pt*signTC;
00022 
00023 //making a proper sign for epsilon
00024  double positiveMomentumPhi  = ((phi>0) ? phi : (2*M_PI + phi));
00025  double positionPhi = impactDistance.phi();
00026  double positivePositionPhi =
00027    ( (positionPhi>0) ? positionPhi : (2*M_PI+positionPhi) );
00028  double phiDiff = positiveMomentumPhi - positivePositionPhi;
00029  if (phiDiff<0.0) phiDiff+= (2*M_PI);
00030  double signEpsilon = ( (phiDiff > M_PI) ? -1.0 : 1.0);
00031 
00032  double epsilon = signEpsilon *
00033                   sqrt(impactDistance.x()*impactDistance.x() +
00034                        impactDistance.y()*impactDistance.y());
00035 
00036  double signTC = -state.particleCharge();
00037  bool isCharged = (signTC!=0);
00038 
00039  if (isCharged) {
00040    res(0) = field / pt*signTC;
00041  } else {
00042    res(0) = 1 / pt;
00043  }
00044 
00045  res(1) = theta;
00046  res(2) = phi;
00047  res(3) = epsilon;
00048  res(4) = impactDistance.z();
00049  return ExtendedPerigeeTrajectoryParameters(res,state.particleCharge());
00050 }
00051 
00052 KinematicParameters KinematicPerigeeConversions::kinematicParametersFromExPerigee(
00053         const ExtendedPerigeeTrajectoryParameters& pr, const GlobalPoint& point,
00054         const MagneticField* field) const
00055 {
00056  AlgebraicVector7 par;
00057  AlgebraicVector6 theVector = pr.vector();
00058  double pt;
00059  if(pr.charge() !=0){
00060   pt = std::abs(field->inInverseGeV(point).z() / theVector(1));
00061  }else{pt = 1/theVector(1);}
00062  par(6) = theVector[5];
00063  par(0) = theVector[3]*sin(theVector[2])+point.x();
00064  par(1) = -theVector[3]*cos(theVector[2])+point.y();
00065  par(2) = theVector[4]+point.z();
00066  par(3) = cos(theVector[2]) * pt;
00067  par(4) = sin(theVector[2]) * pt;
00068  par(5) = pt/tan(theVector[1]);
00069 
00070  return KinematicParameters(par);
00071 }
00072 
00073 
00074 KinematicState
00075 KinematicPerigeeConversions::kinematicState(const AlgebraicVector4& momentum,
00076         const GlobalPoint& referencePoint, const TrackCharge& charge,
00077         const AlgebraicSymMatrix77& theCovarianceMatrix, const MagneticField* field) const
00078 {
00079  AlgebraicMatrix77 param2cart = jacobianParameters2Kinematic(momentum,
00080                                 referencePoint, charge, field);
00081  AlgebraicSymMatrix77 kinematicErrorMatrix = ROOT::Math::Similarity(param2cart,theCovarianceMatrix);
00082 //  kinematicErrorMatrix.assign(param2cart*theCovarianceMatrix*param2cart.T());
00083 
00084  KinematicParametersError kinematicParamError(kinematicErrorMatrix);
00085  AlgebraicVector7 par;
00086  AlgebraicVector4 mm = momentumFromPerigee(momentum, referencePoint, charge, field);
00087  par(0) = referencePoint.x();
00088  par(1) = referencePoint.y();
00089  par(2) = referencePoint.z();
00090  par(3) = mm(0);
00091  par(4) = mm(1);
00092  par(5) = mm(2);
00093  par(6) = mm(3);
00094  KinematicParameters kPar(par);
00095  return KinematicState(kPar, kinematicParamError, charge, field);
00096 }
00097 
00098 AlgebraicMatrix77 KinematicPerigeeConversions::jacobianParameters2Kinematic(
00099         const AlgebraicVector4& momentum, const GlobalPoint& referencePoint,
00100         const TrackCharge& charge, const MagneticField* field)const
00101 {
00102   PerigeeConversions pc;
00103   AlgebraicMatrix66 param2cart = pc.jacobianParameters2Cartesian
00104         (AlgebraicVector3(momentum[0],momentum[1],momentum[2]),
00105         referencePoint, charge, field);
00106   AlgebraicMatrix77 frameTransJ;
00107   for (int i =0;i<6;++i)
00108     for (int j =0;j<6;++j)
00109       frameTransJ(i, j) = param2cart(i, j);
00110   frameTransJ(6, 6) = 1;
00111 
00112 //   double factor = 1;
00113 //   if (charge != 0){
00114 //    double field = TrackingTools::FakeField::Field::inGeVPerCentimeter(referencePoint).z();
00115 //    factor =  -field*charge;
00116 //    }
00117 //   AlgebraicMatrix frameTransJ(7, 7, 0);
00118 //   frameTransJ[0][0] = 1;
00119 //   frameTransJ[1][1] = 1;
00120 //   frameTransJ[2][2] = 1;
00121 //   frameTransJ[6][6] = 1;
00122 //   frameTransJ[3][3] = - factor * cos(momentum[2])  / (momentum[0]*momentum[0]);
00123 //   frameTransJ[4][3] = - factor * sin(momentum[2])  / (momentum[0]*momentum[0]);
00124 //   frameTransJ[5][3] = - factor / tan(momentum[1])  / (momentum[0]*momentum[0]);
00125 //
00126 //   frameTransJ[3][5] = - factor * sin(momentum[1]) / (momentum[0]);
00127 //   frameTransJ[4][5] =   factor * cos(momentum[1])  / (momentum[0]);
00128 //   frameTransJ[5][4] = -factor/ (momentum[0]*sin(momentum[1])*sin(momentum[1]));
00129 
00130   return frameTransJ;
00131 
00132 }
00133 
00134 // Cartesian (px,py,px,m) from extended perigee
00135 AlgebraicVector4
00136 KinematicPerigeeConversions::momentumFromPerigee(const AlgebraicVector4& momentum,
00137         const GlobalPoint& referencePoint, const TrackCharge& ch,
00138         const MagneticField* field)const
00139 {
00140  AlgebraicVector4 mm;
00141  double pt;
00142  if(ch !=0){
00143 //   pt = abs(MagneticField::inGeVPerCentimeter(referencePoint).z() / momentum[0]);
00144     pt = std::abs(field->inInverseGeV(referencePoint).z() / momentum[0]);
00145  }else{pt = 1/ momentum[0];}
00146  mm(0) = cos(momentum[2]) * pt;
00147  mm(1) = sin(momentum[2]) * pt;
00148  mm(2) = pt/tan(momentum[1]);
00149  mm(3) = momentum[3];
00150  return mm;
00151 }
00152