KarimakiAlignmentDerivatives Class Reference

#include <KarimakiAlignmentDerivatives.h>

Public Member Functions
AlgebraicMatrix	operator() (const TrajectoryStateOnSurface &tsos) const

Detailed Description

Calculates derivatives à la Karimaki (cf. CR-2003/022)

Date

2007/03/02 12:17:09

Revision

1.3

(last update by

Author

fronga

)

Definition at line 16 of file KarimakiAlignmentDerivatives.h.

Member Function Documentation

operator()()

AlgebraicMatrix KarimakiAlignmentDerivatives::operator()

(

const TrajectoryStateOnSurface &

tsos

)

const

Returns 6x2 jacobian matrix of derivatives of residuals in x and y with respect to rigid body aligment parameters:

/ dr_x/du dr_y/du | | dr_x/dv dr_y/dv | | dr_x/dw dr_y/dw | | dr_x/da dr_y/da | | dr_x/db dr_y/db | \ dr_x/dg dr_y/dg /

Definition at line 11 of file KarimakiAlignmentDerivatives.cc.

                                                                                                   {
  // Get track parameters on surface
  AlgebraicVector5 alivec = tsos.localParameters().mixedFormatVector();
 
  // [0] q/p  : charged: charge (+ or - one) divided by magnitude of momentum
  //            neutral : inverse magnitude of momentum
  // [1] dxdz : direction tangent in local xz-plane
  // [2] dydz : direction tangent in local yz-plane
  // [3] x    : local x-coordinate
  // [4] y    : local y-coordinate
 
  double tanpsi = alivec[1];
  double tantheta = alivec[2];
  double ux = alivec[3];
  double vx = alivec[4];
 
  AlgebraicMatrix aliderivs(6, 2);
 
  aliderivs[0][0] = -1.0;
  aliderivs[0][1] = 0.0;
  aliderivs[1][0] = 0.0;
  aliderivs[1][1] = -1.0;
  aliderivs[2][0] = tanpsi;
  aliderivs[2][1] = tantheta;
  aliderivs[3][0] = vx * tanpsi;
  aliderivs[3][1] = vx * tantheta;
  aliderivs[4][0] = -ux * tanpsi;    // New beta sign convention
  aliderivs[4][1] = -ux * tantheta;  // New beta sign convention
  aliderivs[5][0] = vx;
  aliderivs[5][1] = -ux;
 
  return (aliderivs);
}

References TrajectoryStateOnSurface::localParameters(), and LocalTrajectoryParameters::mixedFormatVector().