KinematicPerigeeConversions Class Reference

#include <KinematicPerigeeConversions.h>

Public Member Functions
ExtendedPerigeeTrajectoryParameters	extendedPerigeeFromKinematicParameters (const KinematicState &state, const GlobalPoint &point) const
KinematicParameters	kinematicParametersFromExPerigee (const ExtendedPerigeeTrajectoryParameters &pr, const GlobalPoint &point, const MagneticField *field) const
	KinematicPerigeeConversions ()
KinematicState	kinematicState (const AlgebraicVector4 &momentum, const GlobalPoint &referencePoint, const TrackCharge &charge, const AlgebraicSymMatrix77 &theCovarianceMatrix, const MagneticField *field) const
AlgebraicVector4	momentumFromPerigee (const AlgebraicVector4 &momentum, const GlobalPoint &referencePoint, const TrackCharge &ch, const MagneticField *field) const

Private Member Functions
AlgebraicMatrix77	jacobianParameters2Kinematic (const AlgebraicVector4 &momentum, const GlobalPoint &referencePoint, const TrackCharge &charge, const MagneticField *field) const

Detailed Description

Helper class to simplify parameters conversions between kinematic and extended perigee parametrization

Kirill Prokofiev, August 2003

Definition at line 17 of file KinematicPerigeeConversions.h.

Constructor & Destructor Documentation

KinematicPerigeeConversions()

KinematicPerigeeConversions::KinematicPerigeeConversions ( )

inline

Definition at line 19 of file KinematicPerigeeConversions.h.

{}

Member Function Documentation

extendedPerigeeFromKinematicParameters()

ExtendedPerigeeTrajectoryParameters KinematicPerigeeConversions::extendedPerigeeFromKinematicParameters	(	const KinematicState &	state,
		const GlobalPoint &	point
	)		const

Definition at line 4 of file KinematicPerigeeConversions.cc.

                                                                 {
  //making an extended perigee parametrization
  //out of kinematic state and point defined
  AlgebraicVector6 res;
  res(5) = state.mass();
  //  AlgebraicVector7 par = state.kinematicParameters().vector();
  GlobalVector impactDistance = state.globalPosition() - point;
  double theta = state.globalMomentum().theta();
  double phi = state.globalMomentum().phi();
  double pt = state.globalMomentum().transverse();
  //  double field = MagneticField::inGeVPerCentimeter(state.globalPosition()).z();
  double field = state.magneticFieldInInverseGeV().z();
  // double signTC = -state.particleCharge();
  // double transverseCurvature = field/pt*signTC;
 
  //making a proper sign for epsilon
  // FIXME use scalar product...
  double positiveMomentumPhi = ((phi > 0) ? phi : (2 * M_PI + phi));
  double positionPhi = impactDistance.phi();
  double positivePositionPhi = ((positionPhi > 0) ? positionPhi : (2 * M_PI + positionPhi));
  double phiDiff = positiveMomentumPhi - positivePositionPhi;
  if (phiDiff < 0.0)
    phiDiff += (2 * M_PI);
  double signEpsilon = ((phiDiff > M_PI) ? -1.0 : 1.0);
 
  double epsilon =
      signEpsilon * sqrt(impactDistance.x() * impactDistance.x() + impactDistance.y() * impactDistance.y());
 
  double signTC = -state.particleCharge();
  bool isCharged = (signTC != 0);
 
  if (isCharged) {
    res(0) = field / pt * signTC;
  } else {
    res(0) = 1 / pt;
  }
 
  res(1) = theta;
  res(2) = phi;
  res(3) = epsilon;
  res(4) = impactDistance.z();
  return ExtendedPerigeeTrajectoryParameters(res, state.particleCharge());
}

References geometryDiff::epsilon, KinematicState::globalMomentum(), KinematicState::globalPosition(), M_PI, KinematicState::magneticFieldInInverseGeV(), KinematicState::mass(), KinematicState::particleCharge(), phi, PV3DBase< T, PVType, FrameType >::phi(), point, DiDispStaMuonMonitor_cfi::pt, mathSSE::sqrt(), PV3DBase< T, PVType, FrameType >::theta(), theta(), PV3DBase< T, PVType, FrameType >::transverse(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

jacobianParameters2Kinematic()

AlgebraicMatrix77 KinematicPerigeeConversions::jacobianParameters2Kinematic ( const AlgebraicVector4 &  momentum, const GlobalPoint &  referencePoint, const TrackCharge &  charge, const MagneticField *  field  ) const

private

Jacobians of tranformations from the parametrixation (x, y, z, transverse curvature, theta, phi,m) to kinematic parameters

Definition at line 93 of file KinematicPerigeeConversions.cc.

                                                                                                              {
  AlgebraicMatrix66 param2cart = PerigeeConversions::jacobianParameters2Cartesian(
      AlgebraicVector3(momentum[0], momentum[1], momentum[2]), referencePoint, charge, field);
  AlgebraicMatrix77 frameTransJ;
  for (int i = 0; i < 6; ++i)
    for (int j = 0; j < 6; ++j)
      frameTransJ(i, j) = param2cart(i, j);
  frameTransJ(6, 6) = 1;
 
  //   double factor = 1;
  //   if (charge != 0){
  //    double field = TrackingTools::FakeField::Field::inGeVPerCentimeter(referencePoint).z();
  //    factor =  -field*charge;
  //    }
  //   AlgebraicMatrix frameTransJ(7, 7, 0);
  //   frameTransJ[0][0] = 1;
  //   frameTransJ[1][1] = 1;
  //   frameTransJ[2][2] = 1;
  //   frameTransJ[6][6] = 1;
  //   frameTransJ[3][3] = - factor * cos(momentum[2])  / (momentum[0]*momentum[0]);
  //   frameTransJ[4][3] = - factor * sin(momentum[2])  / (momentum[0]*momentum[0]);
  //   frameTransJ[5][3] = - factor / tan(momentum[1])  / (momentum[0]*momentum[0]);
  //
  //   frameTransJ[3][5] = - factor * sin(momentum[1]) / (momentum[0]);
  //   frameTransJ[4][5] =   factor * cos(momentum[1])  / (momentum[0]);
  //   frameTransJ[5][4] = -factor/ (momentum[0]*sin(momentum[1])*sin(momentum[1]));
 
  return frameTransJ;
}

References ALCARECOTkAlJpsiMuMu_cff::charge, mps_fire::i, dqmiolumiharvest::j, and PerigeeConversions::jacobianParameters2Cartesian().

Referenced by kinematicState().

kinematicParametersFromExPerigee()

KinematicParameters KinematicPerigeeConversions::kinematicParametersFromExPerigee	(	const ExtendedPerigeeTrajectoryParameters &	pr,
		const GlobalPoint &	point,
		const MagneticField *	field
	)		const

Definition at line 49 of file KinematicPerigeeConversions.cc.

                                                                                                               {
  AlgebraicVector7 par;
  AlgebraicVector6 theVector = pr.vector();
  double pt;
  if (pr.charge() != 0) {
    pt = std::abs(field->inInverseGeV(point).z() / theVector(1));
  } else {
    pt = 1 / theVector(1);
  }
  par(6) = theVector[5];
  par(0) = theVector[3] * sin(theVector[2]) + point.x();
  par(1) = -theVector[3] * cos(theVector[2]) + point.y();
  par(2) = theVector[4] + point.z();
  par(3) = cos(theVector[2]) * pt;
  par(4) = sin(theVector[2]) * pt;
  par(5) = pt / tan(theVector[1]);
 
  return KinematicParameters(par);
}

References funct::abs(), funct::cos(), MagneticField::inInverseGeV(), point, DiDispStaMuonMonitor_cfi::pt, funct::sin(), funct::tan(), and PV3DBase< T, PVType, FrameType >::z().

kinematicState()

KinematicState KinematicPerigeeConversions::kinematicState	(	const AlgebraicVector4 &	momentum,
		const GlobalPoint &	referencePoint,
		const TrackCharge &	charge,
		const AlgebraicSymMatrix77 &	theCovarianceMatrix,
		const MagneticField *	field
	)		const

Definition at line 70 of file KinematicPerigeeConversions.cc.

                                                                                             {
  AlgebraicMatrix77 param2cart = jacobianParameters2Kinematic(momentum, referencePoint, charge, field);
  AlgebraicSymMatrix77 kinematicErrorMatrix = ROOT::Math::Similarity(param2cart, theCovarianceMatrix);
  //  kinematicErrorMatrix.assign(param2cart*theCovarianceMatrix*param2cart.T());
 
  KinematicParametersError kinematicParamError(kinematicErrorMatrix);
  AlgebraicVector7 par;
  AlgebraicVector4 mm = momentumFromPerigee(momentum, referencePoint, charge, field);
  par(0) = referencePoint.x();
  par(1) = referencePoint.y();
  par(2) = referencePoint.z();
  par(3) = mm(0);
  par(4) = mm(1);
  par(5) = mm(2);
  par(6) = mm(3);
  KinematicParameters kPar(par);
  return KinematicState(kPar, kinematicParamError, charge, field);
}

References ALCARECOTkAlJpsiMuMu_cff::charge, jacobianParameters2Kinematic(), momentumFromPerigee(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

momentumFromPerigee()

AlgebraicVector4 KinematicPerigeeConversions::momentumFromPerigee	(	const AlgebraicVector4 &	momentum,
		const GlobalPoint &	referencePoint,
		const TrackCharge &	ch,
		const MagneticField *	field
	)		const

Cartesian (px,py,px,m) from extended perigee

Definition at line 127 of file KinematicPerigeeConversions.cc.

                                                                                                    {
  AlgebraicVector4 mm;
  double pt;
  if (ch != 0) {
    //   pt = abs(MagneticField::inGeVPerCentimeter(referencePoint).z() / momentum[0]);
    pt = std::abs(field->inInverseGeV(referencePoint).z() / momentum[0]);
  } else {
    pt = 1 / momentum[0];
  }
  mm(0) = cos(momentum[2]) * pt;
  mm(1) = sin(momentum[2]) * pt;
  mm(2) = pt / tan(momentum[1]);
  mm(3) = momentum[3];
  return mm;
}

References funct::abs(), funct::cos(), MagneticField::inInverseGeV(), DiDispStaMuonMonitor_cfi::pt, funct::sin(), funct::tan(), and PV3DBase< T, PVType, FrameType >::z().

Referenced by kinematicState().