#include <GModelSpatialEllipticalGeneralGauss.hpp>

Inheritance diagram for GModelSpatialEllipticalGeneralGauss:

Public Member Functions
	GModelSpatialEllipticalGeneralGauss (void)
	Void constructor. More...

	GModelSpatialEllipticalGeneralGauss (const GSkyDir &dir, const double &major, const double &minor, const double &posangle, const double &ridx, const std::string &coordsys="CEL")
	Elliptical Gaussian constructor. More...

	GModelSpatialEllipticalGeneralGauss (const GXmlElement &xml)
	XML constructor. More...

	GModelSpatialEllipticalGeneralGauss (const GModelSpatialEllipticalGeneralGauss &model)
	Copy constructor. More...

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

virtual GModelSpatialEllipticalGeneralGauss &	operator= (const GModelSpatialEllipticalGeneralGauss &model)
	Assignment operator. More...

virtual void	clear (void)
	Clear generalised elliptical Gaussian model. More...

virtual GModelSpatialEllipticalGeneralGauss *	clone (void) const
	Clone generalised elliptical Gaussian model. More...

virtual std::string	classname (void) const
	Return class name. More...

virtual double	eval (const double &theta, const double &posangle, const GEnergy &energy, const GTime &time, const bool &gradients=false) const
	Evaluate function (in units of sr^-1) More...

virtual GSkyDir	mc (const GEnergy &energy, const GTime &time, GRan &ran) const
	Returns MC sky direction. More...

virtual bool	contains (const GSkyDir &dir, const double &margin=0.0) const
	Checks whether model contains specified sky direction. More...

virtual double	theta_max (void) const
	Return maximum model radius (in radians) More...

virtual void	read (const GXmlElement &xml)
	Read model from XML element. More...

virtual void	write (GXmlElement &xml) const
	Write model into XML element. More...

virtual std::string	print (const GChatter &chatter=NORMAL) const
	Print information. More...

double	ridx (void) const
	Return reciprocal of the elliptical profile index. More...

void	ridx (const double &ridx)
	Set reciprocal of the elliptical profile index. More...

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

	GModelSpatialElliptical (const GModelSpatialElliptical &model)
	Copy constructor. More...

	GModelSpatialElliptical (const GXmlElement &xml)
	XML constructor. More...

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

virtual GModelSpatialElliptical &	operator= (const GModelSpatialElliptical &model)
	Assignment operator. More...

virtual GClassCode	code (void) const
	Return class code. More...

virtual double	eval (const GPhoton &photon, const bool &gradients=false) const
	Return model value. More...

virtual double	mc_norm (const GSkyDir &dir, const double &radius) const
	Return normalization of elliptical source for Monte Carlo simulations. More...

std::string	coordsys (void) const
	Return coordinate system. More...

const GSkyDir &	dir (void) const
	Return position of elliptical spatial model. More...

void	dir (const GSkyDir &dir)
	Set position of radial spatial model. More...

double	posangle (void) const
	Return Position Angle of model. More...

void	posangle (const double &posangle)
	Set Position Angle of model. More...

double	semiminor (void) const
	Return semi-minor axis of ellipse. More...

double	semimajor (void) const
	Return semi-major axis of ellipse. More...

void	semiminor (const double &semiminor)
	Set semi-minor axis of ellipse. More...

void	semimajor (const double &semimajor)
	Set semi-major axis of ellipse. More...

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

	GModelSpatial (const GModelSpatial &model)
	Copy constructor. More...

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

virtual GModelSpatial &	operator= (const GModelSpatial &model)
	Assignment operator. More...

virtual GModelPar &	operator[] (const int &index)
	Returns model parameter. More...

virtual const GModelPar &	operator[] (const int &index) const
	Returns model parameter (const version) More...

virtual GModelPar &	operator[] (const std::string &name)
	Returns model parameter. More...

virtual const GModelPar &	operator[] (const std::string &name) const
	Returns model parameter (const version) More...

virtual double	flux (const GSkyRegion &region, const GEnergy &srcEng=GEnergy(), const GTime &srcTime=GTime()) const
	Returns model flux integrated in circular sky region. More...

std::string	type (void) const
	Return model type. More...

void	type (const std::string &type)
	Set model type. More...

GModelPar &	at (const int &index)
	Returns model parameter. More...

const GModelPar &	at (const int &index) const
	Returns model parameter (const version) More...

bool	has_par (const std::string &name) const
	Checks if parameter name exists. More...

bool	has_free_pars (void) const
	Checks if the spatial model has free parameters. More...

int	size (void) const
	Return number of parameters. More...

void	autoscale (void)
	Autoscale parameters. More...

const GSkyRegion *	region (void) const
	Return boundary sky region. More...

Public Member Functions inherited from GBase
virtual	~GBase (void)
	Destructor. More...

Protected Member Functions
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GModelSpatialEllipticalGeneralGauss &model)
	Copy class members. More...

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

void	update (void) const
	Update precomputation cache. More...

virtual void	set_region (void) const
	Set boundary sky region. More...

Protected Member Functions inherited from GModelSpatialElliptical
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GModelSpatialElliptical &model)
	Copy class members. More...

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

bool	is_celestial (void) const
	Check if model holds celestial coordinates. More...

Protected Member Functions inherited from GModelSpatial
void	init_members (void)
	Initialise class members. More...

void	copy_members (const GModelSpatial &model)
	Copy class members. More...

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

Protected Attributes
GModelPar	m_ridx
	Reciprocal of exponent of the radial profile. More...

double	m_last_minor
	Last semi-minor axis. More...

double	m_last_major
	Last semi-major axis. More...

double	m_last_posangle
	Last position angle. More...

double	m_cospos2
	squared cosine of position angle More...

double	m_sinpos2
	squared sine of position angle More...

double	m_sin2pos
	sine of twice the position angle More...

double	m_minor2
	square of minor axis More...

double	m_major2
	square of major axis More...

double	m_minor_rad
	Minor axis in radians. More...

double	m_major_rad
	Major axis in radians. More...

double	m_norm
	Normalization. More...

double	m_term1
	Help term 1. More...

double	m_term2
	Help term 2. More...

double	m_term3
	Help term 3. More...

double	m_last_ridx
	Last reciprocal radial index. More...

double	m_inv_ridx
	Spatial profile index. More...

Protected Attributes inherited from GModelSpatialElliptical
GModelPar	m_lon
	Right Ascension or Galactic longitude (deg) More...

GModelPar	m_lat
	Declination or Galactic latitude (deg) More...

GModelPar	m_posangle
	Position angle from North, counterclockwise (deg) More...

GModelPar	m_semiminor
	Semi-minor axis of ellipse (deg) More...

GModelPar	m_semimajor
	Semi-major axis of ellipse (deg) More...

GSkyDir	m_dir
	Sky direction representing parameters. More...

double	m_last_lon
	Last longitude. More...

double	m_last_lat
	Last latitude. More...

Protected Attributes inherited from GModelSpatial
std::string	m_type
	Spatial model type. More...

GSkyRegionCircle	m_region
	Bounding circle. More...

std::vector< GModelPar * >	m_pars
	Parameter pointers. More...

Detailed Description

Definition at line 55 of file GModelSpatialEllipticalGeneralGauss.hpp.

Constructor & Destructor Documentation

GModelSpatialEllipticalGeneralGauss::GModelSpatialEllipticalGeneralGauss ( void )

Void constructor.

Definition at line 74 of file GModelSpatialEllipticalGeneralGauss.cpp.

References init_members().

Referenced by clone().

GModelSpatialEllipticalGeneralGauss::GModelSpatialEllipticalGeneralGauss	(	const GSkyDir &	dir,
		const double &	semimajor,
		const double &	semiminor,
		const double &	posangle,
		const double &	ridx,
		const std::string &	coordsys = `"CEL"`
	)

Elliptical Gaussian constructor.

Parameters

[in]	dir	Centre of elliptical Gaussian.
[in]	semimajor	Semi-major axis (deg).
[in]	semiminor	Semi-minor axis (deg).
[in]	posangle	Position angle of semi-major axis (deg).
[in]	ridx	Reciprocal of radial profile index.
[in]	coordsys	Coordinate system (either "CEL" or "GAL")

Exceptions

GException::invalid_argument Invalid coordsys argument specified.

Construct elliptical Gaussian model from the ellipse centre direction (dir), the semimajor and semiminor axes, the position angle (posangle), and the reciprocal of the radial profile index (ridx). The coordsys parameter specifies whether the sky direction should be interpreted in the celestial or Galactic coordinate system.

Definition at line 104 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GModelSpatialElliptical::dir(), G_CONSTRUCTOR, init_members(), GModelSpatialElliptical::m_lat, GModelSpatialElliptical::m_lon, GOptimizerPar::name(), GModelSpatialElliptical::posangle(), ridx(), GModelSpatialElliptical::semimajor(), and GModelSpatialElliptical::semiminor().

GModelSpatialEllipticalGeneralGauss::GModelSpatialEllipticalGeneralGauss ( const GXmlElement & xml )

explicit

XML constructor.

Parameters

[in] xml XML element.

Constructs generalised elliptical Gaussian model by extracting information from an XML element. See the read() method for more information about the expected structure of the XML element.

Definition at line 154 of file GModelSpatialEllipticalGeneralGauss.cpp.

References init_members(), and read().

GModelSpatialEllipticalGeneralGauss::GModelSpatialEllipticalGeneralGauss ( const GModelSpatialEllipticalGeneralGauss & model )

Copy constructor.

Parameters

[in] model Generalised elliptical Gaussian model.

Definition at line 173 of file GModelSpatialEllipticalGeneralGauss.cpp.

References copy_members(), and init_members().

GModelSpatialEllipticalGeneralGauss::~GModelSpatialEllipticalGeneralGauss ( void )

virtual

Destructor.

Definition at line 190 of file GModelSpatialEllipticalGeneralGauss.cpp.

References free_members().

Member Function Documentation

std::string GModelSpatialEllipticalGeneralGauss::classname ( void ) const

inlinevirtual

Return class name.

Returns: String containing the class name ("GModelSpatialEllipticalGeneralGauss").

Implements GModelSpatialElliptical.

Definition at line 135 of file GModelSpatialEllipticalGeneralGauss.hpp.

void GModelSpatialEllipticalGeneralGauss::clear ( void )

virtual

Clear generalised elliptical Gaussian model.

Implements GModelSpatialElliptical.

Definition at line 245 of file GModelSpatialEllipticalGeneralGauss.cpp.

References free_members(), GModelSpatialElliptical::free_members(), GModelSpatial::free_members(), init_members(), GModelSpatialElliptical::init_members(), and GModelSpatial::init_members().

GModelSpatialEllipticalGeneralGauss * GModelSpatialEllipticalGeneralGauss::clone ( void ) const

virtual

Clone generalised elliptical Gaussian model.

Returns: Pointer to deep copy of generalised elliptical Gaussian model.

Implements GModelSpatialElliptical.

Definition at line 267 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GModelSpatialEllipticalGeneralGauss().

bool GModelSpatialEllipticalGeneralGauss::contains	(	const GSkyDir &	dir,
		const double &	margin = `0.0`
	)		const

virtual

Checks whether model contains specified sky direction.

Parameters

[in]	dir	Sky direction.
[in]	margin	Margin to be added to sky direction (deg).

Returns: True if the model contains the sky direction.

Signals whether a sky direction is contained in the elliptical gauss model.

Todo:: Implement correct evaluation of effective ellipse radius.

Implements GModelSpatialElliptical.

Definition at line 465 of file GModelSpatialEllipticalGeneralGauss.cpp.

References gammalib::deg2rad, GModelSpatialElliptical::dir(), GSkyDir::dist(), and theta_max().

void GModelSpatialEllipticalGeneralGauss::copy_members ( const GModelSpatialEllipticalGeneralGauss & model )

protected

Copy class members.

Parameters

[in] model Elliptical Gaussian model.

Definition at line 680 of file GModelSpatialEllipticalGeneralGauss.cpp.

References m_cospos2, m_inv_ridx, m_last_major, m_last_minor, m_last_posangle, m_last_ridx, m_major2, m_major_rad, m_minor2, m_minor_rad, m_norm, m_ridx, m_sin2pos, m_sinpos2, m_term1, m_term2, m_term3, and GModelSpatial::m_type.

Referenced by GModelSpatialEllipticalGeneralGauss(), and operator=().

double GModelSpatialEllipticalGeneralGauss::eval	(	const double &	theta,
		const double &	posangle,
		const GEnergy &	energy,
		const GTime &	time,
		const bool &	gradients = `false`
	)		const

virtual

Evaluate function (in units of sr^-1)

Parameters

[in]	theta	Angular distance from disk centre (radians).
[in]	posangle	Position angle (counterclockwise from North) (radians).
[in]	energy	Photon energy.
[in]	time	Photon arrival time.
[in]	gradients	Compute gradients?

Returns: Model value.

Evaluates the spatial component for a generalised elliptical Gaussian source model.

The generalised elliptical Gaussian function is defined by \(S_{\rm p}(\theta, \phi | E, t)\), where \(\theta\) is the angular separation between elliptical Gaussian centre and the actual location and \(\phi\) the position angle with respect to the model centre, counted counterclockwise from North.

The function \(S_{\rm p}(\theta, \phi | E, t)\) is given by

\[ S_{\rm p}(\theta, \phi | E, t) = {\tt m\_norm} \times \exp \left( -\left(\frac{\theta}{r_{\rm eff}}\right)^1/\eta \right) \]

where the effective ellipse radius \(r_{\rm eff}\) towards a given position angle is given by

\[ r_{\rm eff} = \frac{ab} {\sqrt{\left( a \sin (\phi - \phi_0) \right)^2} + \sqrt{\left( b \cos (\phi - \phi_0) \right)^2}} \]

and \(a\) is the semi-major axis of the ellipse, \(b\) is the semi-minor axis, \(\phi_0\) is the position angle of the ellipse, counted counterclockwise from North, and \(\et\) is the reciprocal of the radial profile index \({\tt m\_norm}\) is a normalization constant given by

\[ {\tt m\_norm} = \frac{1}{2 \pi a b \eta \Gamma(\eta)} \]

The method will not compute analytical parameter gradients, even if the gradients argument is set to true. Parameter gradients need to be computed numerically.

Warning: The above formula for an elliptical generalised Gaussian are accurate for small angles, with semimajor and semiminor axes below a few degrees. This should be fine for most use cases, but you should be aware that the ellipse will get distorted for larger angles. Note that the model normalisation is only correct in the small angle approximation and for \(\eta\) order unity or smaller.

< small angle

Implements GModelSpatialElliptical.

Definition at line 332 of file GModelSpatialEllipticalGeneralGauss.cpp.

References cos(), gammalib::deg2rad, exp(), gammalib::is_infinite(), gammalib::is_notanumber(), m_inv_ridx, m_major2, m_major_rad, m_minor2, m_minor_rad, m_norm, m_term1, m_term2, m_term3, GModelSpatialElliptical::posangle(), pow(), sin(), sqrt(), theta_max(), and update().

Referenced by mc().

void GModelSpatialEllipticalGeneralGauss::free_members ( void )

protected

Delete class members.

Definition at line 712 of file GModelSpatialEllipticalGeneralGauss.cpp.

Referenced by clear(), operator=(), and ~GModelSpatialEllipticalGeneralGauss().

void GModelSpatialEllipticalGeneralGauss::init_members ( void )

protected

Initialise class members.

Definition at line 633 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GOptimizerPar::clear(), GOptimizerPar::free(), GOptimizerPar::gradient(), GOptimizerPar::has_grad(), m_cospos2, m_inv_ridx, m_last_major, m_last_minor, m_last_posangle, m_last_ridx, m_major2, m_major_rad, m_minor2, m_minor_rad, m_norm, GModelSpatial::m_pars, m_ridx, m_sin2pos, m_sinpos2, m_term1, m_term2, m_term3, GModelSpatial::m_type, GOptimizerPar::min(), GOptimizerPar::name(), GOptimizerPar::scale(), and GOptimizerPar::value().

Referenced by clear(), GModelSpatialEllipticalGeneralGauss(), and operator=().

GSkyDir GModelSpatialEllipticalGeneralGauss::mc	(	const GEnergy &	energy,
		const GTime &	time,
		GRan &	ran
	)		const

virtual

Returns MC sky direction.

Parameters

[in]	energy	Photon energy.
[in]	time	Photon arrival time.
[in,out]	ran	Random number generator.

Returns: Sky direction.

Draws an arbitrary sky direction from the elliptical generalised Gaussian model.

Implements GModelSpatialElliptical.

Definition at line 407 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GModelSpatialElliptical::dir(), eval(), G_MC, m_norm, gammalib::rad2deg, GSkyDir::rotate_deg(), sin(), theta_max(), gammalib::twopi, GRan::uniform(), and update().

GModelSpatialEllipticalGeneralGauss & GModelSpatialEllipticalGeneralGauss::operator= ( const GModelSpatialEllipticalGeneralGauss & model )

virtual

Assignment operator.

Parameters

[in] model Generalised elliptical Gaussian model.

Returns: Generalised elliptical Gaussian model.

Definition at line 212 of file GModelSpatialEllipticalGeneralGauss.cpp.

References copy_members(), free_members(), init_members(), and GModelSpatialElliptical::operator=().

std::string GModelSpatialEllipticalGeneralGauss::print ( const GChatter & chatter = NORMAL ) const

virtual

Print information.

Parameters

[in] chatter Chattiness.

Returns: String containing model information.

Implements GModelSpatialElliptical.

Definition at line 599 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GModelSpatial::m_pars, gammalib::parformat(), SILENT, GModelSpatial::size(), and gammalib::str().

void GModelSpatialEllipticalGeneralGauss::read ( const GXmlElement & xml )

virtual

Read model from XML element.

Parameters

[in] xml XML element.

Reads the elliptical gauss model information from an XML element. The XML element shall have either the format

<spatialModel type="EllipticalGeneralGaussian">
  <parameter name="RA"          scale="1.0" value="83.6331" min="-360" max="360" free="1"/>
  <parameter name="DEC"         scale="1.0" value="22.0145" min="-90"  max="90"  free="1"/>
  <parameter name="PA"          scale="1.0" value="45.0"    min="-360"  max="360" free="1"/>
  <parameter name="MinorRadius" scale="1.0" value="0.5"     min="0.001" max="10"  free="1"/>
  <parameter name="MajorRadius" scale="1.0" value="2.0"     min="0.001" max="10"  free="1"/>
  <parameter name="R_Index"     scale="1.0" value="0.5"     min="0.01" max="10"  free="1"/>
</spatialModel>

or

<spatialModel type="EllipticalGeneralGaussian">
  <parameter name="GLON"        scale="1.0" value="83.6331" min="-360" max="360" free="1"/>
  <parameter name="GLAT"        scale="1.0" value="22.0145" min="-90"  max="90"  free="1"/>
  <parameter name="PA"          scale="1.0" value="45.0"    min="-360"  max="360" free="1"/>
  <parameter name="MinorRadius" scale="1.0" value="0.5"     min="0.001" max="10"  free="1"/>
  <parameter name="MajorRadius" scale="1.0" value="2.0"     min="0.001" max="10"  free="1"/>
  <parameter name="R_Index"     scale="1.0" value="0.5"    min="0.01" max="10"  free="1"/>
</spatialModel>

Todo:: Implement a test of the ellipse boundary. The axes and axes minimum should be >0.

Reimplemented from GModelSpatialElliptical.

Definition at line 529 of file GModelSpatialEllipticalGeneralGauss.cpp.

References G_READ, m_ridx, GModelSpatialElliptical::m_semimajor, GModelSpatialElliptical::m_semiminor, GOptimizerPar::name(), GModelSpatialElliptical::read(), GModelPar::read(), ridx(), gammalib::xml_check_parnum(), and gammalib::xml_get_par().

Referenced by GModelSpatialEllipticalGeneralGauss().

double GModelSpatialEllipticalGeneralGauss::ridx ( void ) const

inline

Return reciprocal of the elliptical profile index.

Returns: Reciprocal of the elliptical profile index.

Returns the reciprocal of the elliptical profile index.

Definition at line 148 of file GModelSpatialEllipticalGeneralGauss.hpp.

References m_ridx, and GOptimizerPar::value().

Referenced by GModelSpatialEllipticalGeneralGauss(), read(), update(), and write().

void GModelSpatialEllipticalGeneralGauss::ridx ( const double & ridx )

inline

Set reciprocal of the elliptical profile index.

Parameters

[in] ridx Reciprocal of the elliptical profile index.

Sets the reciprocal of the elliptical profile index.

Definition at line 161 of file GModelSpatialEllipticalGeneralGauss.hpp.

References m_ridx, and GOptimizerPar::value().

void GModelSpatialEllipticalGeneralGauss::set_region ( void ) const

protectedvirtual

Set boundary sky region.

Implements GModelSpatialElliptical.

Definition at line 812 of file GModelSpatialEllipticalGeneralGauss.cpp.

References GModelSpatialElliptical::dir(), GModelSpatial::m_region, GModelSpatial::region(), GModelSpatialElliptical::semimajor(), and GModelSpatialElliptical::semiminor().

double GModelSpatialEllipticalGeneralGauss::theta_max ( void ) const

virtual

Return maximum model radius (in radians)

Returns: Returns maximum model radius (radians).

Returns the maximum of 3.0 semimajor() and 3.0 semiminor() as approximate edge of the Gaussian. This limit is of course arbitrary, but allows to limit the integration region for response computation. The value of 3.0 has been determined by experiment (#1561).

Implements GModelSpatialElliptical.

Definition at line 486 of file GModelSpatialEllipticalGeneralGauss.cpp.

References gammalib::deg2rad, GModelSpatialElliptical::semimajor(), and GModelSpatialElliptical::semiminor().

Referenced by contains(), eval(), and mc().

void GModelSpatialEllipticalGeneralGauss::update ( void ) const

protected

Update precomputation cache.

Computes the normalization

\[ {\tt m\_norm} = \frac{1}{2 \pi \times a \times b} \]

where \(a\) is the semi-major axis and \(b\) is the semi-minor axis of the ellipse.

Warning: The normalization of the elliptical Gaussian is only valid in the small angle approximation.

Definition at line 734 of file GModelSpatialEllipticalGeneralGauss.cpp.

References cos(), gammalib::deg2rad, exp(), gammalib::gammln(), m_cospos2, m_inv_ridx, m_last_major, m_last_minor, m_last_posangle, m_last_ridx, m_major2, m_major_rad, m_minor2, m_minor_rad, m_norm, m_sin2pos, m_sinpos2, m_term1, m_term2, m_term3, GModelSpatialElliptical::posangle(), ridx(), GModelSpatialElliptical::semimajor(), GModelSpatialElliptical::semiminor(), sin(), and gammalib::twopi.

Referenced by eval(), and mc().

void GModelSpatialEllipticalGeneralGauss::write ( GXmlElement & xml ) const

virtual

Write model into XML element.

Parameters

[in] xml XML element into which model information is written.

Write the elliptical gauss model information into an XML element. The XML element will have the format

<spatialModel type="EllipticalGeneralGaussian">
  <parameter name="RA"          scale="1.0" value="83.6331" min="-360" max="360" free="1"/>
  <parameter name="DEC"         scale="1.0" value="22.0145" min="-90"  max="90"  free="1"/>
  <parameter name="PA"          scale="1.0" value="45.0"    min="-360"  max="360" free="1"/>
  <parameter name="MinorRadius" scale="1.0" value="0.5"     min="0.001" max="10"  free="1"/>
  <parameter name="MajorRadius" scale="1.0" value="2.0"     min="0.001" max="10"  free="1"/>
  <parameter name="R_Index"     scale="1.0" value="0.5"     min="0.01" max="10"  free="1"/>
</spatialModel>

Reimplemented from GModelSpatialElliptical.

Definition at line 570 of file GModelSpatialEllipticalGeneralGauss.cpp.

References G_WRITE, m_ridx, GModelSpatialElliptical::m_semimajor, GModelSpatialElliptical::m_semiminor, GOptimizerPar::name(), ridx(), GModelSpatial::type(), GModelSpatialElliptical::write(), GModelPar::write(), gammalib::xml_check_type(), and gammalib::xml_need_par().