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JacobianCurvilinearToCartesian Class Reference

Class which calculates the Jacobian matrix of the transformation from the curvilinear to the Cartesian frame. More...

#include <TrackingTools/AnalyticalJacobians/interface/JacobianCurvilinearToCartesian.h>

List of all members.

Public Member Functions
const AlgebraicMatrix65 &	jacobian () const
	Access to Jacobian.
const AlgebraicMatrix	jacobian_old () const
	JacobianCurvilinearToCartesian (const GlobalTrajectoryParameters &globalParameters)
	Constructor from global trajectory parameters.
Private Attributes
AlgebraicMatrix65	theJacobian

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Detailed Description

Class which calculates the Jacobian matrix of the transformation from the curvilinear to the Cartesian frame.

The Jacobian is calculated during construction and thereafter cached, enabling reuse of the same Jacobian without calculating it again.

Definition at line 14 of file JacobianCurvilinearToCartesian.h.

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Constructor & Destructor Documentation

JacobianCurvilinearToCartesian::JacobianCurvilinearToCartesian

(

const GlobalTrajectoryParameters &

globalParameters

)

Constructor from global trajectory parameters.

NB!! No default constructor exists!

Definition at line 5 of file JacobianCurvilinearToCartesian.cc.

References GlobalTrajectoryParameters::charge(), funct::cos(), Vector3DBase< T, FrameTag >::cross(), PV3DBase< T, PVType, FrameType >::mag(), GlobalTrajectoryParameters::momentum(), p, p2, PV3DBase< T, PVType, FrameType >::perp(), PV3DBase< T, PVType, FrameType >::phi(), phi, dttmaxenums::R, funct::sin(), theJacobian, PV3DBase< T, PVType, FrameType >::theta(), Vector3DBase< T, FrameTag >::unit(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

                                                                                   : theJacobian() {
  GlobalVector xt = globalParameters.momentum();
  //GlobalVector yt(xt.y(), -xt.x(), 0.); \\wrong direction of the axis
  //GlobalVector zt(xt.x()*xt.z(), xt.y()*xt.z(), -xt.perp2()); \\and then also on this one
  GlobalVector yt(-xt.y(), xt.x(), 0.); 
  GlobalVector zt = xt.cross(yt);

  GlobalVector pvec = globalParameters.momentum();
  double pt = pvec.perp();
  TrackCharge q = globalParameters.charge();
  // for neutrals: qbp is 1/p instead of q/p - 
  //   equivalent to charge 1
  if ( q==0 )  q = 1;

  xt = xt.unit(); 
  if(fabs(pt) > 0){
    yt = yt.unit(); 
    zt = zt.unit();
  }
  
  AlgebraicMatrix66 R;
  R(0,0) = xt.x(); R(0,1) = yt.x(); R(0,2) = zt.x();
  R(1,0) = xt.y(); R(1,1) = yt.y(); R(1,2) = zt.y();
  R(2,0) = xt.z(); R(2,1) = yt.z(); R(2,2) = zt.z();
  R(3,3) = 1.;
  R(4,4) = 1.;
  R(5,5) = 1.;

  double p = pvec.mag(), p2 = p*p;
  double lambda = 0.5 * M_PI - pvec.theta();
  double phi = pvec.phi();
  double sinlambda = sin(lambda), coslambda = cos(lambda);
  double sinphi = sin(phi), cosphi = cos(phi);

  theJacobian(1,3) = 1.;
  theJacobian(2,4) = 1.;
  theJacobian(3,0) = -q * p2 * coslambda * cosphi;
  theJacobian(3,1) = -p * sinlambda * cosphi;
  theJacobian(3,2) = -p * coslambda * sinphi;
  theJacobian(4,0) = -q * p2 * coslambda * sinphi;
  theJacobian(4,1) = -p * sinlambda * sinphi;
  theJacobian(4,2) = p * coslambda * cosphi;
  theJacobian(5,0) = -q * p2 * sinlambda;
  theJacobian(5,1) = p * coslambda;
  theJacobian(5,2) = 0.;

  //ErrorPropagation: 
  //    C(Cart) = R(6*6) * J(6*5) * C(Curvi) * J(5*6)_T * R(6*6)_T
  theJacobian = R*theJacobian;
  //dbg::dbg_trace(1,"Cu2Ca", globalParameters.vector(),theJacobian);
}

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Member Function Documentation

const AlgebraicMatrix65 & JacobianCurvilinearToCartesian::jacobian

(

)

const

Access to Jacobian.

Definition at line 59 of file JacobianCurvilinearToCartesian.cc.

References theJacobian.

Referenced by FreeTrajectoryState::createCartesianError(), TrackKinematicStatePropagator::propagateToTheTransversePCACharged(), and TrackKinematicStatePropagator::propagateToTheTransversePCANeutral().

                                                                        {
  return theJacobian;
}

const AlgebraicMatrix JacobianCurvilinearToCartesian::jacobian_old

(

)

const

Definition at line 56 of file JacobianCurvilinearToCartesian.cc.

References asHepMatrix(), and theJacobian.

                                                                         {
  return asHepMatrix(theJacobian);
}

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Member Data Documentation

AlgebraicMatrix65 JacobianCurvilinearToCartesian::theJacobian [private]

Definition at line 32 of file JacobianCurvilinearToCartesian.h.

Referenced by jacobian(), jacobian_old(), and JacobianCurvilinearToCartesian().

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The documentation for this class was generated from the following files:

• TrackingTools/AnalyticalJacobians/interface/JacobianCurvilinearToCartesian.h
• TrackingTools/AnalyticalJacobians/src/JacobianCurvilinearToCartesian.cc

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