Trk::JacobianPxyzToPhiThetaQoverPspherical Class Reference

Jacobian in spherical coordinates for the transformation of momentum in Cartesian coordinates \( (px,py,pz,charge)\) to momentum in spherical cordinates \((\phi,\theta,QoverP)\). More...

#include <JacobianPxyzToPhiThetaQoverPspherical.h>

Inheritance diagram for Trk::JacobianPxyzToPhiThetaQoverPspherical:

Collaboration diagram for Trk::JacobianPxyzToPhiThetaQoverPspherical:

Public Member Functions
	JacobianPxyzToPhiThetaQoverPspherical (const double phi, const double theta, const double qOverP)
	~JacobianPxyzToPhiThetaQoverPspherical ()

Detailed Description

Jacobian in spherical coordinates for the transformation of momentum in Cartesian coordinates \( (px,py,pz,charge)\) to momentum in spherical cordinates \((\phi,\theta,QoverP)\).

The derivatives are:

• \( \frac{\partial \phi}{\partial px} = -\frac{fabs(qOverP) \cdot sin\phi}{sin\theta} \)
  
• \( \frac{\partial \theta}{\partial px} = fabs(qOverP)\cdot cos\phi \cdot cos \theta \)
  
• \( \frac{\partial qOverP}{\partial px} = -frac{fabs(qOverP)\mathrm{^3} \cdot cos\phi \cdot sin\theta}{qOverP} \)
  
• \( \frac{\partial \phi}{\partial py} = \frac{fabs(qOverP) \cdot cos\phi}{sin\theta} \)
  
• \( \frac{\partial \theta}{\partial py} = fabs(qOverP)\cdot sin\phi \cdot cos\theta \)
  
• \( \frac{\partial QoverP}{\partial py} = -frac{fabs(qOverP)\mathrm{^3} \cdot sin\phi \cdot sin\theta}{qOverP} \)
  
• \( \frac{\partial \phi}{\partial pz} = 0 \)
  
• \( \frac{\partial \theta}{\partial pz} = fabs(qOverP)\cdot sin\theta \)
  
• \( \frac{\partial pz}{\partial qOverP} = -frac{fabs(qOverP)\mathrm{^3} \cdot cos\theta}{qOverP} \)
  

Author

Tatja.nosp@m.na.L.nosp@m.enz@c.nosp@m.ern..nosp@m.ch

Definition at line 38 of file JacobianPxyzToPhiThetaQoverPspherical.h.

Constructor & Destructor Documentation

JacobianPxyzToPhiThetaQoverPspherical()

Trk::JacobianPxyzToPhiThetaQoverPspherical::JacobianPxyzToPhiThetaQoverPspherical	(	const double	phi,
		const double	theta,
		const double	qOverP
	)

Definition at line 12 of file JacobianPxyzToPhiThetaQoverPspherical.cxx.

                                                                                                                                        :
    AmgMatrix(3,3)()
{   
    // initialize to zer
    this->setZero();
 
    double sinPhi = std::sin(phi);
    double cosPhi = std::cos(phi);
    double sinTheta = std::sin(theta);
    double cosTheta = std::cos(theta);
    (*this)(0,0)    = -std::fabs(qOverP)*sinPhi/sinTheta;
    (*this)(0,1)    = std::fabs(qOverP)*cosPhi/sinTheta;
    (*this)(0,2)    = 0.;
    (*this)(1,0)    = std::fabs(qOverP)*cosPhi*cosTheta;
    (*this)(1,1)    = std::fabs(qOverP)*sinPhi*cosTheta;
    (*this)(1,2)    = -std::fabs(qOverP)*sinTheta;
    (*this)(2,0)    = -std::pow(std::fabs(qOverP),3)*cosPhi*sinTheta/qOverP;
    (*this)(2,1)    = -std::pow(std::fabs(qOverP),3)*sinPhi*sinTheta/qOverP;
    (*this)(2,2)    = -std::pow(std::fabs(qOverP),3)*cosTheta/qOverP;
 
}

~JacobianPxyzToPhiThetaQoverPspherical()

Trk::JacobianPxyzToPhiThetaQoverPspherical::~JacobianPxyzToPhiThetaQoverPspherical ( )

inline

Definition at line 41 of file JacobianPxyzToPhiThetaQoverPspherical.h.

{}

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

• JacobianPxyzToPhiThetaQoverPspherical.h
• JacobianPxyzToPhiThetaQoverPspherical.cxx