JacobianCurvilinearToLocal.cc

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#include "TrackingTools/AnalyticalJacobians/interface/JacobianCurvilinearToLocal.h"
#include "DataFormats/GeometrySurface/interface/Surface.h"
#include "TrackingTools/TrajectoryParametrization/interface/LocalTrajectoryParameters.h"
#include "TrackingTools/TrajectoryParametrization/interface/GlobalTrajectoryParameters.h"

#include "MagneticField/Engine/interface/MagneticField.h"

JacobianCurvilinearToLocal::JacobianCurvilinearToLocal(const Surface& surface,
                                                       const LocalTrajectoryParameters& localParameters,
                                                       const MagneticField& magField)
    : theJacobian(ROOT::Math::SMatrixNoInit()) {
  GlobalPoint x = surface.toGlobal(localParameters.position());
  GlobalVector h = magField.inInverseGeV(x);
  GlobalVector qh = h * localParameters.signedInverseMomentum();  // changed sign

  LocalVector tnl = localParameters.direction();
  GlobalVector tn = surface.toGlobal(tnl);
  double t1r = 1. / tnl.z();

  Surface::RotationType const& rot = surface.rotation();

  compute(rot, tn, qh, t1r);
}

JacobianCurvilinearToLocal::JacobianCurvilinearToLocal(const Surface& surface,
                                                       const LocalTrajectoryParameters& localParameters,
                                                       const GlobalTrajectoryParameters& globalParameters,
                                                       const MagneticField& magField)
    : theJacobian(ROOT::Math::SMatrixNoInit()) {
  // GlobalPoint  x =  globalParameters.position();
  // GlobalVector h  = magField.inInverseGeV(x);
  GlobalVector h = globalParameters.magneticFieldInInverseGeV();
  GlobalVector qh = h * localParameters.signedInverseMomentum();  // changed sign

  LocalVector tnl = localParameters.direction();
  // GlobalVector tn = surface.toGlobal(tnl); // faster?
  GlobalVector tn = globalParameters.momentum() * std::abs(localParameters.signedInverseMomentum());
  double t1r = 1. / tnl.z();

  Surface::RotationType const& rot = surface.rotation();

  compute(rot, tn, qh, t1r);
}

void JacobianCurvilinearToLocal::compute(Surface::RotationType const& rot,
                                         GlobalVector const& tn,
                                         GlobalVector const& qh,
                                         double t1r) {
  // Origin: TRSCSD

  double cosl = tn.perp();
  if (cosl < 1.e-30)
    cosl = 1.e-30;
  double cosl1 = 1. / cosl;
  GlobalVector un(-tn.y() * cosl1, tn.x() * cosl1, 0.);
  GlobalVector vn(-tn.z() * un.y(), tn.z() * un.x(), cosl);

  auto u = rot.rotate(un.basicVector());
  auto v = rot.rotate(vn.basicVector());

  int j = 0, k = 1, i = 2;

  double t2r = t1r * t1r;
  double t3r = t1r * t2r;

  theJacobian(0, 0) = 1.;
  for (auto i = 1; i < 5; ++i)
    theJacobian(0, i) = 0.;
  theJacobian(1, 0) = 0.;
  theJacobian(2, 0) = 0.;

  theJacobian(1, 1) = -u[k] * t2r;
  theJacobian(1, 2) = v[k] * (cosl * t2r);
  theJacobian(2, 1) = u[j] * t2r;
  theJacobian(2, 2) = -v[j] * (cosl * t2r);

  for (auto i = 0; i < 3; ++i) {
    theJacobian(3, i) = 0.;
    theJacobian(4, i) = 0.;
  }

  theJacobian(3, 3) = v[k] * t1r;
  theJacobian(3, 4) = -u[k] * t1r;
  theJacobian(4, 3) = -v[j] * t1r;
  theJacobian(4, 4) = u[j] * t1r;

  double sinz = un.dot(qh);
  double cosz = -vn.dot(qh);
  double ui = u[i] * (t3r);
  double vi = v[i] * (t3r);
  theJacobian(1, 3) = -ui * (v[k] * cosz - u[k] * sinz);
  theJacobian(1, 4) = -vi * (v[k] * cosz - u[k] * sinz);
  theJacobian(2, 3) = ui * (v[j] * cosz - u[j] * sinz);
  theJacobian(2, 4) = vi * (v[j] * cosz - u[j] * sinz);
  // end of TRSCSD
  //dbg::dbg_trace(1,"Cu2L", localParameters.vector(),di,dj,dk,theJacobian);
}