Trk::JacobianCartesianToPolar Class Reference

Jacobian for the transformation of cartesian parametes \((locX,locY,\phi,\theta, q/p)\) to polar parameters \( (locR,locPhi,\phi,\theta, q/p)\): More...

#include <JacobianCartesianToPolar.h>

Inheritance diagram for Trk::JacobianCartesianToPolar:

Collaboration diagram for Trk::JacobianCartesianToPolar:

Public Member Functions
	JacobianCartesianToPolar (const double lx, const double ly)
	~JacobianCartesianToPolar ()

Detailed Description

Jacobian for the transformation of cartesian parametes \((locX,locY,\phi,\theta, q/p)\) to polar parameters \( (locR,locPhi,\phi,\theta, q/p)\):

• \( \frac{\partial r}{\partial locX} = \frac{lx}{\sqrt{lx^2 + ly^2}} \)
  
• \( \frac{\partial r}{\partial loxY} = \frac{ly}{\sqrt{lx^2 + ly^2}} \)
  
• \( \frac{\partial \phi}{\partial locX} = \frac{-ly}{lx^2 + ly^2}\)
  
• \( \frac{\partial \phi}{\partial locY} = \frac{lx}{lx^2 + ly^2} \)
  

Author

Andre.nosp@m.as.S.nosp@m.alzbu.nosp@m.rger.nosp@m.@cern.nosp@m..ch

Definition at line 30 of file JacobianCartesianToPolar.h.

Constructor & Destructor Documentation

JacobianCartesianToPolar()

Trk::JacobianCartesianToPolar::JacobianCartesianToPolar	(	const double	lx,
		const double	ly )

Definition at line 12 of file JacobianCartesianToPolar.cxx.

                                                                                     :
    AmgMatrix(5,5)()
{
     // initialize to identify matrix
     this->setIdentity();
    
     if (std::fabs(lx)>10e-6 || std::fabs(ly)>10e-6){
     
     double r = std::sqrt(lx*lx+ly*ly);
     
       (*this)(Trk::locR,Trk::locX)       = lx/r;
       (*this)(Trk::locR,Trk::locY)       = ly/r;
       (*this)(Trk::locPhi,Trk::locX)     = -ly/(r*r);
       (*this)(Trk::locPhi,Trk::locY)     = lx/(r*r);
     }    
}

~JacobianCartesianToPolar()

Trk::JacobianCartesianToPolar::~JacobianCartesianToPolar ( )

inline

Definition at line 33 of file JacobianCartesianToPolar.h.

{}

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

• JacobianCartesianToPolar.h
• JacobianCartesianToPolar.cxx