AnalyticalCurvilinearJacobian Class Reference

#include <AnalyticalCurvilinearJacobian.h>

Public Member Functions
	AnalyticalCurvilinearJacobian ()
	default constructor (for tests) More...
	AnalyticalCurvilinearJacobian (const GlobalTrajectoryParameters &globalParameters, const GlobalPoint &x, const GlobalVector &p, const double &s)
	get Field at starting state (internally) More...
	AnalyticalCurvilinearJacobian (const GlobalTrajectoryParameters &globalParameters, const GlobalPoint &x, const GlobalVector &p, const GlobalVector &theFieldInInverseGeV, const double &s)
	new: give Field as a parameter More...
void	computeFullJacobian (const GlobalTrajectoryParameters &, const GlobalPoint &, const GlobalVector &, const GlobalVector &, const double &s)
	result for non-vanishing curvature More...
void	computeInfinitesimalJacobian (const GlobalTrajectoryParameters &, const GlobalPoint &, const GlobalVector &, const GlobalVector &, const double &s)
	result for non-vanishing curvature and "small" step More...
void	computeStraightLineJacobian (const GlobalTrajectoryParameters &, const GlobalPoint &, const GlobalVector &, const double &s)
	straight line approximation More...
const AlgebraicMatrix55 &	jacobian () const

Private Attributes
AlgebraicMatrix55	theJacobian

Detailed Description

Creating Jacobian of transformation within the curvilinear frame. The basic functionality of this class is to provide the (analytical) Jacobian matrix of the transformation within the curvilinear frame from the state defined by globalParameters to the state defined by x and p. This Jacobian can then be used to yield the corresponding error propagation. The current implementation is based on the original derivations by W. Wittek. However, due to the implicit float precision, two terms ((4,1) and (5,1)) have been modified in order to make the calculations more stable in a numerical sense.

Definition at line 21 of file AnalyticalCurvilinearJacobian.h.

Constructor & Destructor Documentation

AnalyticalCurvilinearJacobian::AnalyticalCurvilinearJacobian ( )

inline

default constructor (for tests)

Definition at line 24 of file AnalyticalCurvilinearJacobian.h.

: theJacobian(ROOT::Math::SMatrixNoInit()) {}

AnalyticalCurvilinearJacobian::AnalyticalCurvilinearJacobian	(	const GlobalTrajectoryParameters &	globalParameters,
		const GlobalPoint &	x,
		const GlobalVector &	p,
		const double &	s
	)

get Field at starting state (internally)

Definition at line 7 of file AnalyticalCurvilinearJacobian.cc.

AnalyticalCurvilinearJacobian::AnalyticalCurvilinearJacobian	(	const GlobalTrajectoryParameters &	globalParameters,
		const GlobalPoint &	x,
		const GlobalVector &	p,
		const GlobalVector &	theFieldInInverseGeV,
		const double &	s
	)

new: give Field as a parameter

Definition at line 31 of file AnalyticalCurvilinearJacobian.cc.

Member Function Documentation

void AnalyticalCurvilinearJacobian::computeFullJacobian	(	const GlobalTrajectoryParameters &	globalParameters,
		const GlobalPoint &	x,
		const GlobalVector &	p,
		const GlobalVector &	h,
		const double &	s
	)

result for non-vanishing curvature

Definition at line 61 of file AnalyticalCurvilinearJacobian.cc.

void AnalyticalCurvilinearJacobian::computeInfinitesimalJacobian	(	const GlobalTrajectoryParameters &	globalParameters,
		const GlobalPoint &	,
		const GlobalVector &	p,
		const GlobalVector &	h,
		const double &	s
	)

result for non-vanishing curvature and "small" step

Definition at line 253 of file AnalyticalCurvilinearJacobian.cc.

void AnalyticalCurvilinearJacobian::computeStraightLineJacobian	(	const GlobalTrajectoryParameters &	globalParameters,
		const GlobalPoint &	,
		const GlobalVector &	,
		const double &	s
	)

straight line approximation

Definition at line 316 of file AnalyticalCurvilinearJacobian.cc.

const AlgebraicMatrix55& AnalyticalCurvilinearJacobian::jacobian ( ) const

inline

Definition at line 55 of file AnalyticalCurvilinearJacobian.h.

References theJacobian.

Referenced by analyticalErrorPropagation(), AnalyticalTrajectoryExtrapolatorToLine::extrapolateSingleState(), TSCBLBuilderNoMaterial::operator()(), and TwoBodyDecayTrajectoryState::propagateSingleState().

{return theJacobian;}

Member Data Documentation

AlgebraicMatrix55 AnalyticalCurvilinearJacobian::theJacobian

private

Definition at line 59 of file AnalyticalCurvilinearJacobian.h.

Referenced by jacobian().