SpheGeometry Class Reference

#include <SpheGeometry.hpp>

Inheritance diagram for SpheGeometry:

Public Member Functions
virtual double	density (double r) const =0
double	density (Position bfr) const override
int	dimension () const override
Position	generatePosition () const override
virtual double	randomRadius () const =0
virtual double	Sigmar () const =0
double	SigmaX () const override
double	SigmaY () const override
double	SigmaZ () const override
virtual double	density (Position bfr) const =0
virtual int	dimension () const =0
virtual Position	generatePosition () const =0
virtual double	SigmaX () const =0
virtual double	SigmaY () const =0
virtual double	SigmaZ () const =0
Public Member Functions inherited from SimulationItem
template<class T >
T *	find (bool setup=true) const
template<class T >
T *	interface (int levels=-999999, bool setup=true) const
virtual string	itemName () const
void	setup ()
string	typeAndName () const
Public Member Functions inherited from Item
	Item (const Item &)=delete
virtual	~Item ()
void	addChild (Item *child)
const vector< Item * > &	children () const
virtual void	clearItemListProperty (const PropertyDef *property)
void	destroyChild (Item *child)
virtual bool	getBoolProperty (const PropertyDef *property) const
virtual vector< double >	getDoubleListProperty (const PropertyDef *property) const
virtual double	getDoubleProperty (const PropertyDef *property) const
virtual string	getEnumProperty (const PropertyDef *property) const
virtual int	getIntProperty (const PropertyDef *property) const
virtual vector< Item * >	getItemListProperty (const PropertyDef *property) const
virtual Item *	getItemProperty (const PropertyDef *property) const
virtual string	getStringProperty (const PropertyDef *property) const
int	getUtilityProperty (string name) const
virtual void	insertIntoItemListProperty (const PropertyDef *property, int index, Item *item)
Item &	operator= (const Item &)=delete
Item *	parent () const
virtual void	removeFromItemListProperty (const PropertyDef *property, int index)
virtual void	setBoolProperty (const PropertyDef *property, bool value)
virtual void	setDoubleListProperty (const PropertyDef *property, vector< double > value)
virtual void	setDoubleProperty (const PropertyDef *property, double value)
virtual void	setEnumProperty (const PropertyDef *property, string value)
virtual void	setIntProperty (const PropertyDef *property, int value)
virtual void	setItemProperty (const PropertyDef *property, Item *item)
virtual void	setStringProperty (const PropertyDef *property, string value)
void	setUtilityProperty (string name, int value)
virtual string	type () const

Protected Member Functions
	SpheGeometry ()
Protected Member Functions inherited from Geometry
	Geometry ()
Random *	random () const
void	setupSelfBefore () override
Protected Member Functions inherited from SimulationItem
	SimulationItem ()
virtual bool	offersInterface (const std::type_info &interfaceTypeInfo) const
virtual void	setupSelfAfter ()
virtual void	setupSelfBefore ()
Protected Member Functions inherited from Item
	Item ()

Private Types
using	BaseType = Geometry
using	ItemType = SpheGeometry

Friends
class	ItemRegistry

Detailed Description

The SpheGeometry class is an abstract subclass of the general Geometry class, and serves as a base class for spherically symmetric geometries, i.e. geometries where the density depends only on the modulus $r=|\mathbf{r}|$ of the position vector.

Constructor & Destructor Documentation

SpheGeometry()

SpheGeometry::SpheGeometry ( )

inlineprotected

Default constructor for abstract Item subclass SpheGeometry : "a spherically symmetric geometry" .

Member Function Documentation

density() [1/2]

virtual double SpheGeometry::density ( double  r ) const

pure virtual

This pure virtual function returns the density $\rho (r)$ at a radius $r$.

Implemented in EinastoGeometry, GammaGeometry, GaussianGeometry, PlummerGeometry, PseudoSersicGeometry, SersicGeometry, and ShellGeometry.

density() [2/2]

double SpheGeometry::density ( Position  bfr ) const

overridevirtual

This function returns the density $\rho (\mathbf{r})$ at the position $\mathbf{r}$. For spherically symmetric geometries, the density only depends on the modulus $r=|\mathbf{r}|$ of the position vector, such that only the member function $\rho (r)$ needs to be defined.

Implements Geometry.

dimension()

int SpheGeometry::dimension ( ) const

overridevirtual

This function returns the dimension of the geometry, which is 1 for all subclasses of this class since it is a base class for spherically symmetric geometries.

Implements Geometry.

generatePosition()

Position SpheGeometry::generatePosition ( ) const

overridevirtual

This pure virtual function generates a random position from the geometry, by drawing a random point from the three-dimensional probability density $p(\mathbf{r})\text{d}\mathbf{r}=\rho (\mathbf{r})\text{d}\mathbf{r}$. In spherical symmetry, this three-dimensional probability density is separable into a radial component and a direction component:

$$p(\mathbf{r})\text{d}\mathbf{r}=[4\pi \rho (r)r^2\text{d}r]\left[\frac{\text{d}\mathbf{k}}{4\pi }\right].$$

A random position can hence be constructed by combining a random direction on the unit sphere with a radius randomly generated from the one-dimensional probability density

$$p(r)\text{d}r=4\pi \rho (r)r^2\text{d}r.$$

The former is found through the general function randomDirection(), whereas the latter can be found through the member function randomradius(), which has to be provided in each class derived from the SpheGeometry class.

Implements Geometry.

randomRadius()

virtual double SpheGeometry::randomRadius ( ) const

pure virtual

This pure virtual function returns a radius randomly generated from the one-dimensional probability distribution

$$p(r)\text{d}r=4\pi \rho (r)r^2\text{d}r.$$

Implemented in EinastoGeometry, GammaGeometry, GaussianGeometry, PlummerGeometry, PseudoSersicGeometry, SersicGeometry, and ShellGeometry.

Sigmar()

virtual double SpheGeometry::Sigmar ( ) const

pure virtual

This pure virtual function returns the radial surface density, i.e. the integration of the density along a line starting at the centre of the coordinate system,

$${\mathrm{\Sigma }}_r={\int }_0^{\mathrm{\infty }}\rho (r)\text{d}r.$$

Implemented in EinastoGeometry, GammaGeometry, GaussianGeometry, PlummerGeometry, PseudoSersicGeometry, SersicGeometry, and ShellGeometry.

SigmaX()

double SpheGeometry::SigmaX ( ) const

overridevirtual

This function returns the X-axis surface density, i.e. the integration of the density along the entire X-axis,

$${\mathrm{\Sigma }}_X={\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\rho (x,0,0)\text{d}x.$$

For a spherical geometry, we can write ${\mathrm{\Sigma }}_X=2{\mathrm{\Sigma }}_r$, where ${\mathrm{\Sigma }}_r$ is the radial surface density.

Implements Geometry.

SigmaY()

double SpheGeometry::SigmaY ( ) const

overridevirtual

This function returns the Y-axis surface density, i.e. the integration of the density along the entire Y-axis,

$${\mathrm{\Sigma }}_Y={\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\rho (0,y,0)\text{d}y.$$

For a spherical geometry, we can write ${\mathrm{\Sigma }}_Y=2{\mathrm{\Sigma }}_r$, where ${\mathrm{\Sigma }}_r$ is the radial surface density.

Implements Geometry.

SigmaZ()

double SpheGeometry::SigmaZ ( ) const

overridevirtual

This function returns the Z-axis surface density, i.e. the integration of the density along the entire Z-axis,

$${\mathrm{\Sigma }}_Z={\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\rho (0,0,z)\text{d}z.$$

For a spherical geometry, we can write ${\mathrm{\Sigma }}_Z=2{\mathrm{\Sigma }}_r$, where ${\mathrm{\Sigma }}_r$ is the radial surface density.

Implements Geometry.

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

• SpheGeometry.hpp