Kernel for radial spatial model PSF phi angle integration. More...

#include <cta_helpers_response_stacked_vector.hpp>

Inheritance diagram for cta_psf_radial_kerns_phi:

Public Member Functions
	cta_psf_radial_kerns_phi (cta_psf_radial_kerns_delta *outer, const double &sin_delta_sin_zeta, const double &sin_delta_cos_zeta, const double &cos_delta_sin_zeta, const double &cos_delta_cos_zeta)

int	size (void) const

GVector	eval (const double &phi)
	Kernel for azimuthal radial model integration. More...

Public Member Functions inherited from GFunctions
	GFunctions (void)
	Void constructor. More...

	GFunctions (const GFunctions &functions)
	Copy constructor. More...

virtual	~GFunctions (void)
	Destructor. More...

GFunctions &	operator= (const GFunctions &functions)
	Assignment operator. More...

Protected Attributes
cta_psf_radial_kerns_delta *	m_outer
	Pointer to outer integr. More...

int	m_size
	Result size. More...

double	m_sin_delta_sin_zeta
	sin(delta) * sin(zeta) More...

double	m_sin_delta_cos_zeta
	sin(delta) * cos(zeta) More...

double	m_cos_delta_sin_zeta
	cos(delta) * sin(zeta) More...

double	m_cos_delta_cos_zeta
	cos(delta) * cos(zeta) More...

GVector	m_values
	Return value. More...

Additional Inherited Members
Protected Member Functions inherited from GFunctions
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GFunctions &functions)
	Copy class members. More...

void	free_members (void)
	Delete class members. More...

Detailed Description

Kernel for radial spatial model PSF phi angle integration.

This class provides the kernel for the radial spatial model integration of the azimuth angle of the PSF system.

The eval() method of the kernel returns a vector that contains for a given azimuth angle phi the model value and all model parameter gradients.

Definition at line 96 of file cta_helpers_response_stacked_vector.hpp.

Constructor & Destructor Documentation

cta_psf_radial_kerns_phi::cta_psf_radial_kerns_phi	(	cta_psf_radial_kerns_delta *	outer,
		const double &	sin_delta_sin_zeta,
		const double &	sin_delta_cos_zeta,
		const double &	cos_delta_sin_zeta,
		const double &	cos_delta_cos_zeta
	)

inline

Definition at line 98 of file cta_helpers_response_stacked_vector.hpp.

Member Function Documentation

GVector cta_psf_radial_kerns_phi::eval ( const double & phi )

virtual

Kernel for azimuthal radial model integration.

Parameters

[in] phi Azimuth angle (radians).

Returns: Vector of radial model value and parameter factor gradients.

Computes the value and parameter factor gradients of the radial model at the position \((\delta,\phi)\) given in point spread function coordinates.

The angle \(\theta\) of the radial model is computed using

\[ \theta = \arccos \left( \cos \delta \cos \zeta + \sin \delta \sin \zeta \cos \phi \right) \]

where \(\delta\) is the angle between true and measured photon direction, \(\zeta\) is the angle between model centre and measured photon direction, and \(\phi\) is the azimuth angle with respect to the measured photon direction, where \(\phi=0\) corresponds to the connecting line between model centre and measured photon direction.

If gradient computation is requested, the method also returns the gradients

\[ \frac{\partial f}{\partial \alpha_0} \]

and

\[ \frac{\partial f}{\partial \beta_0} \]

in the second and third slot of the returned vector. The following slots contains gradients with respect to other model parameters.

Implements GFunctions.

Definition at line 374 of file cta_helpers_response_stacked_vector.cpp.