TrackingJacobians.h File Reference

#include "DataFormats/Math/interface/AlgebraicROOTObjects.h"
#include "DataFormats/GeometryVector/interface/GlobalVector.h"

Go to the source code of this file.

Functions
AlgebraicMatrix56	jacobianCartesianToCurvilinear (const GlobalVector &momentum, int charge)
AlgebraicMatrix65	jacobianCurvilinearToCartesian (const GlobalVector &momentum, int charge)

Function Documentation

jacobianCartesianToCurvilinear()

AlgebraicMatrix56 jacobianCartesianToCurvilinear	(	const GlobalVector &	momentum,
		int	charge
	)

Definition at line 63 of file TrackingJacobians.cc.

                                                                                      {
  AlgebraicMatrix56 theJacobian;
  GlobalVector xt = momentum;
  GlobalVector yt(-xt.y(), xt.x(), 0.);
  GlobalVector zt = xt.cross(yt);
  const GlobalVector& pvec = momentum;
  double pt = pvec.perp(), p = pvec.mag();
  double px = pvec.x(), py = pvec.y(), pz = pvec.z();
  double pt2 = pt * pt, p2 = p * p, p3 = p * p * p;
  // 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) = xt.y();
  R(0, 2) = xt.z();
  R(1, 0) = yt.x();
  R(1, 1) = yt.y();
  R(1, 2) = yt.z();
  R(2, 0) = zt.x();
  R(2, 1) = zt.y();
  R(2, 2) = zt.z();
  R(3, 3) = 1.;
  R(4, 4) = 1.;
  R(5, 5) = 1.;
 
  theJacobian(0, 3) = -q * px / p3;
  theJacobian(0, 4) = -q * py / p3;
  theJacobian(0, 5) = -q * pz / p3;
  if (fabs(pt) > 0) {
    //theJacobian(1,3) = (px*pz)/(pt*p2); theJacobian(1,4) = (py*pz)/(pt*p2); theJacobian(1,5) = -pt/p2; //wrong sign
    theJacobian(1, 3) = -(px * pz) / (pt * p2);
    theJacobian(1, 4) = -(py * pz) / (pt * p2);
    theJacobian(1, 5) = pt / p2;
    theJacobian(2, 3) = -py / pt2;
    theJacobian(2, 4) = px / pt2;
    theJacobian(2, 5) = 0.;
  }
  theJacobian(3, 1) = 1.;
  theJacobian(4, 2) = 1.;
  theJacobian = theJacobian * R;
  //dbg::dbg_trace(1,"Ca2Cu", globalParameters.vector(),theJacobian);
  return theJacobian;
}

References Vector3DBase< T, FrameTag >::cross(), PV3DBase< T, PVType, FrameType >::mag(), AlCaHLTBitMon_ParallelJobs::p, p2, p3, PV3DBase< T, PVType, FrameType >::perp(), DiDispStaMuonMonitor_cfi::pt, HLT_2018_cff::pt2, multPhiCorr_741_25nsDY_cfi::px, multPhiCorr_741_25nsDY_cfi::py, data-class-funcs::q, dttmaxenums::R, Vector3DBase< T, FrameTag >::unit(), PV3DBase< T, PVType, FrameType >::x(), PV3DBase< T, PVType, FrameType >::y(), and PV3DBase< T, PVType, FrameType >::z().

jacobianCurvilinearToCartesian()

AlgebraicMatrix65 jacobianCurvilinearToCartesian	(	const GlobalVector &	momentum,
		int	charge
	)

Definition at line 5 of file TrackingJacobians.cc.

                                                                                      {
  AlgebraicMatrix65 theJacobian;
  GlobalVector xt = momentum;
  GlobalVector yt(-xt.y(), xt.x(), 0.);
  GlobalVector zt = xt.cross(yt);
 
  const GlobalVector& pvec = momentum;
  double pt = pvec.perp();
  // 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);
  return theJacobian;
}

References funct::cos(), Vector3DBase< T, FrameTag >::cross(), M_PI, PV3DBase< T, PVType, FrameType >::mag(), AlCaHLTBitMon_ParallelJobs::p, p2, PV3DBase< T, PVType, FrameType >::perp(), PV3DBase< T, PVType, FrameType >::phi(), PVValHelper::phi, DiDispStaMuonMonitor_cfi::pt, data-class-funcs::q, dttmaxenums::R, funct::sin(), 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().