#include <CartesianSpatialGrid.hpp>

Inheritance diagram for CartesianSpatialGrid:

[legend]

Public Member Functions
Box	cellBox (int m) const override
int	cellIndex (Position bfr) const override
Position	centralPositionInCell (int m) const override
std::unique_ptr< PathSegmentGenerator >	createPathSegmentGenerator () const override
double	diagonal (int m) const override
Mesh *	meshX () const
Mesh *	meshY () const
Mesh *	meshZ () const
int	numCells () const override
Position	randomPositionInCell (int m) const override
double	volume (int m) const override
Public Member Functions inherited from BoxSpatialGrid
Box	boundingBox () const override
int	dimension () const override
double	maxX () const
double	maxY () const
double	maxZ () const
double	minX () const
double	minY () const
double	minZ () const
Public Member Functions inherited from SpatialGrid
virtual void	writeGridPlotFiles (const SimulationItem *probe) const
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
Public Member Functions inherited from Box
	Box ()
	Box (double xmin, double ymin, double zmin, double xmax, double ymax, double zmax)
	Box (Vec rmin, Vec rmax)
void	cellIndices (int &i, int &j, int &k, Vec r, int nx, int ny, int nz) const
Vec	center () const
bool	contains (const Box &box) const
bool	contains (double x, double y, double z) const
bool	contains (Vec r) const
double	diagonal () const
void	extend (const Box &box)
const Box &	extent () const
void	extent (double &xmin, double &ymin, double &zmin, double &xmax, double &ymax, double &zmax) const
Vec	fracPos (double xfrac, double yfrac, double zfrac) const
Vec	fracPos (int xd, int yd, int zd, int xn, int yn, int zn) const
bool	intersects (const Box &box) const
bool	intersects (Vec r, const Vec k, double &smin, double &smax) const
bool	intersects (Vec rc, double r) const
Vec	rmax () const
Vec	rmin () const
double	volume () const
Vec	widths () const
double	xmax () const
double	xmin () const
double	xwidth () const
double	ymax () const
double	ymin () const
double	ywidth () const
double	zmax () const
double	zmin () const
double	zwidth () const
Public Member Functions inherited from BoxCellDensityMixIn
double	numberDensity (int h, int m) const override
Public Member Functions inherited from DensityInCellInterface
virtual	~DensityInCellInterface ()

Protected Member Functions
	CartesianSpatialGrid ()
bool	offersInterface (const std::type_info &interfaceTypeInfo) const override
void	setupSelfAfter () override
void	write_xy (SpatialGridPlotFile *outfile) const override
void	write_xyz (SpatialGridPlotFile *outfile) const override
void	write_xz (SpatialGridPlotFile *outfile) const override
void	write_yz (SpatialGridPlotFile *outfile) const override
Protected Member Functions inherited from BoxSpatialGrid
	BoxSpatialGrid ()
void	setupSelfBefore () override
Protected Member Functions inherited from SpatialGrid
	SpatialGrid ()
Random *	random () const
void	setupSelfBefore () override
Protected Member Functions inherited from SimulationItem
	SimulationItem ()
Protected Member Functions inherited from Item
	Item ()
Protected Member Functions inherited from Box
void	setExtent (const Box &extent)
void	setExtent (double xmin, double ymin, double zmin, double xmax, double ymax, double zmax)
Protected Member Functions inherited from BoxCellDensityMixIn
	BoxCellDensityMixIn ()
bool	offersInterface () const
void	setup (SimulationItem *item)
Protected Member Functions inherited from DensityInCellInterface
	DensityInCellInterface ()

Private Types
using	BaseType
using	ItemType

Private Member Functions
Box	box (int m) const
int	index (int i, int j, int k) const

Private Attributes
Mesh *	_meshX
Mesh *	_meshY
Mesh *	_meshZ
int	_Nx
int	_Ny
int	_Nz
Array	_xv
Array	_yv
Array	_zv

Friends
class	ItemRegistry
class	MySegmentGenerator

Detailed Description

The CartesianSpatialGrid class is subclass of the BoxSpatialGrid class, and represents three-dimensional spatial grids based on a regular Cartesian grid. Each cell in such a grid is a cuboid lined up with the Cartesian coordinate axes. Then cells do not necessarily all have the same size or axis ratios.

Constructor & Destructor Documentation

◆ CartesianSpatialGrid()

CartesianSpatialGrid::CartesianSpatialGrid ( )

inlineprotected

Default constructor for concrete Item subclass CartesianSpatialGrid: "a Cartesian spatial grid".

Member Function Documentation

◆ box()

Box CartesianSpatialGrid::box ( int m ) const

private

This function calculates the three bin indices \(i\), \(j\) and \(k\) of the cell index \(m\), and then returns the coordinates of the corresponding cell as a Box object. Since the relation between the index and the three bin indices is \(m=k+j\,N_z+i\,N_y\,N_z\), we can use the formulae

\[ \begin{split} i &= \lfloor m/(N_y\,N_z) \rfloor \\ j &= \lfloor (m-i\,N_y\,N_z)/N_z \rfloor \\ k &= m\,{\text{mod}}\,N_z. \end{split} \]

◆ cellBox()

Box CartesianSpatialGrid::cellBox ( int m ) const

overridevirtual

This function returns the box defining the cell with index \(m\), as required by the BoxCellDensityMixIn class. The function determines the bin indices \(i\), \(j\) and \(k\) corresponding to the X, Y and Z directions and returns the corresponding coordinates.

Implements BoxCellDensityMixIn.

◆ cellIndex()

int CartesianSpatialGrid::cellIndex ( Position bfr ) const

overridevirtual

This function returns the index \(m\) of the cell that contains the position \({\bf{r}}\). For a cartesian grid, the function determines the bin indices in the X, Y and Z directions and calculates the correct index based on these indices.

Implements SpatialGrid.

◆ centralPositionInCell()

Position CartesianSpatialGrid::centralPositionInCell ( int m ) const

overridevirtual

This function returns the central location from the cell with index \(m\). For a cartesian grid, the function first determines the bin indices \(i\) and \(k\) in the X, Y and Z directions that correspond to the index \(m\). Then the coordinates \(x\), \(y\) and \(z\) are determined using

\[ \begin{split} x &= \frac{x_i + x_{i+1}}{2} \\ y &= \frac{y_j + y_{j+1}}{2} \\ z &= \frac{z_k + z_{k+1}}{2} \end{split} \]

A position with these cartesian coordinates is returned.

Implements SpatialGrid.

◆ createPathSegmentGenerator()

std::unique_ptr< PathSegmentGenerator > CartesianSpatialGrid::createPathSegmentGenerator ( ) const

overridevirtual

This function creates and hands over ownership of a path segment generator (an instance of a PathSegmentGenerator subclass) appropriate for a cartesian grid, implemented as a private PathSegmentGenerator subclass.

The algorithm used to construct the path is fairly straightforward because all cells are cuboids lined up with the coordinate axes and the neighboring cells are easily found by manipulating cell indices.

Implements SpatialGrid.

◆ diagonal()

double CartesianSpatialGrid::diagonal ( int m ) const

overridevirtual

This function returns the diagonal of the cell with index \(m\). For a cartesian grid, the function determines the bin indices \(i\), \(j\) and \(k\) corresponding to the X, Y and Z directions. The diagonal is then easily calculated as \(d = \sqrt{ (x_{i+1}-x_i)^2 + (y_{j+1}-y_j)^2 + (z_{k+1}-z_k)^2 }\).

Implements SpatialGrid.

◆ index()

int CartesianSpatialGrid::index	(	int	i,
		int	j,
		int	k ) const

private

This function returns the index \(m\) corresponding to the three bin indices \(i\), \(j\) and \(k\). The correspondence is \(m=k+j\,N_z+i\,N_y\,N_z\).

◆ meshX()

Mesh * CartesianSpatialGrid::meshX ( ) const

inline

This function returns the value of the discoverable item property meshX: "the bin distribution in the X direction".

The default value for this property is given by the conditional value expression "LinMesh".

◆ meshY()

Mesh * CartesianSpatialGrid::meshY ( ) const

inline

This function returns the value of the discoverable item property meshY: "the bin distribution in the Y direction".

The default value for this property is given by the conditional value expression "LinMesh".

◆ meshZ()

Mesh * CartesianSpatialGrid::meshZ ( ) const

inline

This function returns the value of the discoverable item property meshZ: "the bin distribution in the Z direction".

The default value for this property is given by the conditional value expression "LinMesh".

◆ numCells()

int CartesianSpatialGrid::numCells ( ) const

overridevirtual

This function returns the number of cells in the grid.

Implements SpatialGrid.

◆ offersInterface()

bool CartesianSpatialGrid::offersInterface ( const std::type_info & interfaceTypeInfo ) const

overrideprotectedvirtual

This function is used by the interface() function to ensure that the receiving item can actually offer the specified interface. If the requested interface is the DensityInCellInterface, the implementation in this class returns the value returned by the BoxCellDensityMixIn::offersInterface() function. For other requested interfaces, the function invokes its counterpart in the base class.

Reimplemented from SimulationItem.

◆ randomPositionInCell()

Position CartesianSpatialGrid::randomPositionInCell ( int m ) const

overridevirtual

This function returns a random location from the cell with index \(m\). For a cartesian grid, the function first determines the bin indices \(i\) and \(k\) in the X, Y and Z directions that correspond to the index \(m\). Then random coordinates \(x\), \(y\) and \(z\) are determined using

\[ \begin{split} x &= x_i + {\cal{X}}_1\,(x_{i+1}-x_i) \\ y &= y_j + {\cal{X}}_2\,(y_{j+1}-y_j) \\ z &= z_k + {\cal{X}}_3\, (z_{k+1}-z_k), \end{split} \]

with \({\cal{X}}_1\), \({\cal{X}}_2\) and \({\cal{X}}_3\) three uniform deviates. A position with these cartesian coordinates is returned.

Implements SpatialGrid.

◆ setupSelfAfter()

void CartesianSpatialGrid::setupSelfAfter ( )

overrideprotectedvirtual

This function sets up a number of data members that depend on the Mesh objects configured for this grid.

Reimplemented from SimulationItem.

◆ volume()

double CartesianSpatialGrid::volume ( int m ) const

overridevirtual

This function returns the volume of the cell with index \(m\). For a cartesian grid, the function determines the bin indices \(i\), \(j\) and \(k\) corresponding to the X, Y and Z directions. The volume is then easily calculated as \(V = (x_{i+1}-x_i)\, (y_{j+1}-y_j)\, (z_{k+1}-z_k) \).

Implements SpatialGrid.

◆ write_xy()

void CartesianSpatialGrid::write_xy ( SpatialGridPlotFile * outfile ) const

overrideprotectedvirtual

This function writes the intersection of the grid structure with the xy plane to the specified SpatialGridPlotFile object.

Reimplemented from SpatialGrid.

◆ write_xyz()

void CartesianSpatialGrid::write_xyz ( SpatialGridPlotFile * outfile ) const

overrideprotectedvirtual

This function writes 3D information for all cells in the grid structure to the specified SpatialGridPlotFile object.

Reimplemented from SpatialGrid.

◆ write_xz()

void CartesianSpatialGrid::write_xz ( SpatialGridPlotFile * outfile ) const

overrideprotectedvirtual

This function writes the intersection of the grid structure with the xz plane to the specified SpatialGridPlotFile object.

Reimplemented from SpatialGrid.

◆ write_yz()

void CartesianSpatialGrid::write_yz ( SpatialGridPlotFile * outfile ) const

overrideprotectedvirtual

This function writes the intersection of the grid structure with the yz plane to the specified SpatialGridPlotFile object.

Reimplemented from SpatialGrid.

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

CartesianSpatialGrid.hpp

Public Member Functions

Protected Member Functions

Private Types

Private Member Functions

Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ CartesianSpatialGrid()

Member Function Documentation

◆ box()

◆ cellBox()

◆ cellIndex()

◆ centralPositionInCell()

◆ createPathSegmentGenerator()

◆ diagonal()

◆ index()

◆ meshX()

◆ meshY()

◆ meshZ()

◆ numCells()

◆ offersInterface()

◆ randomPositionInCell()

◆ setupSelfAfter()

◆ volume()

◆ write_xy()

◆ write_xyz()

◆ write_xz()

◆ write_yz()