A grid discretization using triangular cells. More...

#include <triangular.hh>

Inheritance diagram for Utopia::TriangularGrid< Space >:

Collaboration diagram for Utopia::TriangularGrid< Space >:

Public Types
using	Base = Grid< Space >
	Base class type. More...

using	SpaceVec = typename Space::SpaceVec
	The type of vectors that have a relation to physical space. More...

using	MultiIndex = MultiIndexType< dim >
	The type of multi-index like arrays, e.g. the grid shape. More...

using	Config = DataIO::Config
	The configuration type. More...

Public Types inherited from Utopia::Grid< Space >
using	Self = Grid< Space >
	Type of this class, i.e. the base grid class. More...

using	SpaceVec = typename Space::SpaceVec
	The type of vectors that have a relation to physical space. More...

using	MultiIndex = MultiIndexType< dim >
	The type of multi-index like arrays, e.g. the grid shape. More...

using	Config = DataIO::Config
	The configuration type. More...

Public Member Functions
	TriangularGrid (std::shared_ptr< Space > space, const Config &cfg)
	Construct a triangular grid discretization. More...

IndexType	num_cells () const override
	Number of triangular cells required to fill the physical space. More...

SpaceVec	effective_resolution () const override
	The effective cell resolution into each physical space dimension. More...

MultiIndex	shape () const override
	Get shape of the triangular grid. More...

GridStructure	structure () const override
	Structure of the grid. More...

MultiIndex	midx_of (const IndexType) const override
	Returns the multi index of the cell with the given ID. More...

SpaceVec	barycenter_of (const IndexType) const override
	Returns the barycenter of the cell with the given ID. More...

SpaceVec	extent_of (const IndexType) const override
	Returns the extent of the cell with the given ID. More...

std::vector< SpaceVec >	vertices_of (const IndexType) const override
	Returns the vertices of the cell with the given ID. More...

IndexType	cell_at (const SpaceVec &) const override
	Return the ID of the cell covering the given point in physical space. More...

std::set< IndexType >	boundary_cells (std::string={}) const override
	Retrieve a set of cell indices that are at a specified boundary. More...

Public Member Functions inherited from Utopia::Grid< Space >
	Grid (std::shared_ptr< Space > space, const Config &cfg)
	Construct a grid discretization. More...

virtual	~Grid ()=default
	Virtual destructor to allow polymorphic destruction. More...

IndexContainer	neighbors_of (const IndexType id) const
	Returns the indices of the neighbors of the cell with the given ID. More...

void	select_neighborhood (NBMode nb_mode, const Config &nb_params={})

const NBMode &	nb_mode () const
	Const reference to the currently selected neighborhood mode. More...

const Config &	nb_params () const
	The neighborhood parameters of the currently selected neighborhood. More...

auto	nb_size () const
	Maximum size of the currently selected neighborhood. More...

auto	resolution () const
	Get scalar resolution value of this grid. More...

std::string	structure_name () const
	Structure of the grid as std::string. More...

const std::shared_ptr< Space > &	space () const
	Const reference to the space this grid maps to. More...

bool	is_periodic () const
	Whether the space this grid maps to is periodic. More...

Static Public Attributes
static constexpr DimType	dim = Space::dim
	The dimensionality of the space to be discretized (for easier access) More...

Static Public Attributes inherited from Utopia::Grid< Space >
static constexpr DimType	dim = Space::dim
	The dimensionality of the space to be discretized (for easier access) More...

Protected Member Functions
NBFuncID< Base >	get_nb_func (NBMode nb_mode, const Config &) override
	Retrieve the neighborhood function depending on the mode. More...

DistType	expected_num_neighbors (const NBMode &nb_mode, const Config &) const override
	Computes the expected number of neighbors for a neighborhood mode. More...

Additional Inherited Members
Protected Attributes inherited from Utopia::Grid< Space >
const std::shared_ptr< Space >	_space
	The space that is to be discretized. More...

const DistType	_resolution
	How many cells to place per length unit of space. More...

NBMode	_nb_mode
	Neighborhood mode. More...

Config	_nb_params
	Neighborhood parameters. More...

NBFuncID< Self >	_nb_func
	Neighborhood function (working on cell IDs) More...

NBFuncID< Self >	_nb_empty
	A neighborhood function for empty neighborhood. More...

Detailed Description

template<class Space>
class Utopia::TriangularGrid< Space >

A grid discretization using triangular cells.

Member Typedef Documentation

◆ Base

template<class Space >

using Utopia::TriangularGrid< Space >::Base = Grid<Space>

Base class type.

◆ Config

template<class Space >

using Utopia::TriangularGrid< Space >::Config = DataIO::Config

The configuration type.

◆ MultiIndex

template<class Space >

using Utopia::TriangularGrid< Space >::MultiIndex = MultiIndexType<dim>

The type of multi-index like arrays, e.g. the grid shape.

◆ SpaceVec

template<class Space >

using Utopia::TriangularGrid< Space >::SpaceVec = typename Space::SpaceVec

The type of vectors that have a relation to physical space.

Constructor & Destructor Documentation

◆ TriangularGrid()

template<class Space >

Utopia::TriangularGrid< Space >::TriangularGrid	(	std::shared_ptr< Space >	space,
		const Config &	cfg
	)

inline

Construct a triangular grid discretization.

Parameters

space	The space to construct the discretization for
cfg	Further configuration parameters

Member Function Documentation

◆ barycenter_of()

template<class Space >

SpaceVec Utopia::TriangularGrid< Space >::barycenter_of ( const IndexType ) const

inlineoverridevirtual

Returns the barycenter of the cell with the given ID.

Note: This method does not perform bounds checking of the given ID!

Implements Utopia::Grid< Space >.

◆ boundary_cells()

template<class Space >

std::set<IndexType> Utopia::TriangularGrid< Space >::boundary_cells ( std::string = {} ) const

inlineoverridevirtual

Retrieve a set of cell indices that are at a specified boundary.

Note: For a periodic space, an empty container is returned; no error or warning is emitted.

Parameters

select Which boundary to return the cell IDs of. If 'all', all boundary cells are returned. Other available values depend on the dimensionality of the grid: 1D: left, right 2D: bottom, top 3D: back, front

Implements Utopia::Grid< Space >.

◆ cell_at()

template<class Space >

IndexType Utopia::TriangularGrid< Space >::cell_at ( const SpaceVec & ) const

inlineoverridevirtual

Return the ID of the cell covering the given point in physical space.

Cells are interpreted as covering half-open intervals in space, i.e., including their low-value edges and excluding their high-value edges. The special case of points on high-value edges for non-periodic space behaves such that these points are associated with the cells at the boundary.

Note: This function always returns IDs of cells that are inside physical space. For non-periodic space, a check is performed whether the given point is inside the physical space associated with this grid. For periodic space, the given position is mapped back into the physical space.

Implements Utopia::Grid< Space >.

◆ effective_resolution()

template<class Space >

SpaceVec Utopia::TriangularGrid< Space >::effective_resolution ( ) const

inlineoverridevirtual

The effective cell resolution into each physical space dimension.

Implements Utopia::Grid< Space >.

◆ expected_num_neighbors()

template<class Space >

DistType Utopia::TriangularGrid< Space >::expected_num_neighbors	(	const NBMode &	nb_mode,
		const Config &
	)		const

inlineoverrideprotectedvirtual

Computes the expected number of neighbors for a neighborhood mode.

Implements Utopia::Grid< Space >.

◆ extent_of()

template<class Space >

SpaceVec Utopia::TriangularGrid< Space >::extent_of ( const IndexType ) const

inlineoverridevirtual

Returns the extent of the cell with the given ID.

Note: This method does not perform bounds checking of the given ID!

Implements Utopia::Grid< Space >.

◆ get_nb_func()

template<class Space >

NBFuncID<Base> Utopia::TriangularGrid< Space >::get_nb_func	(	NBMode	nb_mode,
		const Config &
	)

inlineoverrideprotectedvirtual

Retrieve the neighborhood function depending on the mode.

Implements Utopia::Grid< Space >.

◆ midx_of()

template<class Space >

MultiIndex Utopia::TriangularGrid< Space >::midx_of ( const IndexType ) const

inlineoverridevirtual

Returns the multi index of the cell with the given ID.

Note: This method does not perform bounds checking of the given ID!

Implements Utopia::Grid< Space >.

◆ num_cells()

template<class Space >

IndexType Utopia::TriangularGrid< Space >::num_cells ( ) const

inlineoverridevirtual

Number of triangular cells required to fill the physical space.

Implements Utopia::Grid< Space >.

◆ shape()

template<class Space >

MultiIndex Utopia::TriangularGrid< Space >::shape ( ) const

inlineoverridevirtual

Get shape of the triangular grid.

Implements Utopia::Grid< Space >.

◆ structure()

template<class Space >

GridStructure Utopia::TriangularGrid< Space >::structure ( ) const

inlineoverridevirtual

Structure of the grid.

Implements Utopia::Grid< Space >.

◆ vertices_of()

template<class Space >

std::vector<SpaceVec> Utopia::TriangularGrid< Space >::vertices_of ( const IndexType ) const

inlineoverridevirtual

Returns the vertices of the cell with the given ID.

Warning: The order of the vertices is not guaranteed.

Note: This method does not perform bounds checking of the given ID!

Implements Utopia::Grid< Space >.

Member Data Documentation

◆ dim

template<class Space >

constexpr DimType Utopia::TriangularGrid< Space >::dim = Space::dim

staticconstexpr

The dimensionality of the space to be discretized (for easier access)

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

include/utopia/core/grids/triangular.hh

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Additional Inherited Members

Detailed Description

template<class Space> class Utopia::TriangularGrid< Space >

Member Typedef Documentation

◆ Base

◆ Config

◆ MultiIndex

◆ SpaceVec

Constructor & Destructor Documentation

◆ TriangularGrid()

Member Function Documentation

◆ barycenter_of()

◆ boundary_cells()

◆ cell_at()

◆ effective_resolution()

◆ expected_num_neighbors()

◆ extent_of()

◆ get_nb_func()

◆ midx_of()

◆ num_cells()

◆ shape()

◆ structure()

◆ vertices_of()

Member Data Documentation

◆ dim

template<class Space>
class Utopia::TriangularGrid< Space >