Class representing a dim-dimensional Cartesian tensor-product grid. More...

#include <cart_grid_tp.hpp>

Public Member Functions
Constructors
	CartGridTP (const std::array< std::vector< real >, dim > &breaks)
	Construct a new CartGridTP object from its breaks.

	CartGridTP (const BoundBox< dim > &domain, const std::array< std::size_t, dim > &n_intrvs_dir)
	Construct a new CartGridTP object from a domain and the number of intervals per direction.

	CartGridTP (const std::array< std::size_t, dim > &n_intrvs_dir)
	Construct a new CartGridTP object from a [0,1] domain and the number of intervals per direction.

Query methods
const std::vector< real > &	get_breaks (int dir) const
	Gets the breaks along the given direction `dir`.

const BoundBox< dim > &	get_domain () const
	Gets the grid's domain.

int	get_cell_id (const PointType &point, const Tolerance &tolerance=Tolerance()) const
	Get the id of the cell the given `point` belongs to.

std::optional< int >	at_cells_boundary (const PointType &point, const Tolerance &tolerance=Tolerance()) const
	Checks if the given `point` is on the boundary of two cells (up to `tolerance`).

bool	on_boundary (int cell_id, int local_facet_id) const
	Checks if a cell's facet is on the grids boundary.

std::vector< int >	get_boundary_cells (int facet_id) const
	Gets the list of cells belonging to given facet of the grid.

int	to_flat (const TensorIndexTP< dim > &tid) const
	Gets the flat index of a grid cell from the tensor index.

TensorIndexTP< dim >	to_tensor (int fid) const
	Gets the tensor index of a grid cell from the flat index.

TensorSizeTP< dim >	get_num_cells_dir () const
	Gets the number of cells per direction.

int	get_num_cells () const
	Gets the total number of cell.

BoundBox< dim >	get_cell_domain (int cell_fid) const
	Gets an cell's domain.

Private Types
using	PointType = Point<dim>
	Point type.

Private Attributes
Members
std::array< std::vector< real >, dim >	breaks_
	Breaks definining the cell intervals along the `dim` parametric directions.

qugar::BoundBox< dim >	domain_
	Domain of the grid.

TensorIndexRangeTP< dim >	range_
	Indices range.

Detailed Description

template<int dim>
class qugar::CartGridTP< dim >

Class representing a dim-dimensional Cartesian tensor-product grid.

Template Parameters

dim	Dimension of the grid's domain.

Member Typedef Documentation

◆ PointType

template<int dim>

using qugar::CartGridTP< dim >::PointType = Point<dim>

private

Point type.

Constructor & Destructor Documentation

◆ CartGridTP() [1/3]

template<int dim>

qugar::CartGridTP< dim >::CartGridTP ( const std::array< std::vector< real >, dim > & breaks )

explicit

Construct a new CartGridTP object from its breaks.

Parameters

breaks Breaks defining the cell intervals along the dim parametric directions.

◆ CartGridTP() [2/3]

template<int dim>

qugar::CartGridTP< dim >::CartGridTP	(	const BoundBox< dim > &	domain,
		const std::array< std::size_t, dim > &	n_intrvs_dir )

Construct a new CartGridTP object from a domain and the number of intervals per direction.

Parameters

domain	Domain of the grid.
n_intrvs_dir	Number of cell intervals along the `dim` parametric directions.

◆ CartGridTP() [3/3]

template<int dim>

qugar::CartGridTP< dim >::CartGridTP ( const std::array< std::size_t, dim > & n_intrvs_dir )

explicit

Construct a new CartGridTP object from a [0,1] domain and the number of intervals per direction.

Parameters

n_intrvs_dir Number of cell intervals along the dim parametric directions.

Member Function Documentation

◆ at_cells_boundary()

template<int dim>

std::optional< int > qugar::CartGridTP< dim >::at_cells_boundary	(	const PointType &	point,
		const Tolerance &	tolerance = Tolerance() ) const

nodiscard

Checks if the given point is on the boundary of two cells (up to tolerance).

Parameters

point	Point to query.
tolerance	Tolerance to be used in checkings.

Returns: If the point is not at any boundary, the returned optiona type has no value. Otherwise, it contains the index of the constant direction (from 0 to dim-1) of the boundary. For instance, in a 2D grid, if the point lays in a vertical boundary between two cells, it returns 0, but if the boundary is horizontal, returns 1.

◆ get_boundary_cells()

template<int dim>

std::vector< int > qugar::CartGridTP< dim >::get_boundary_cells ( int facet_id ) const

nodiscard

Gets the list of cells belonging to given facet of the grid.

Parameters

facet_id Id of the grid facet. It must be in the range [0, dim*2).

Returns: List of cells on the facet.

◆ get_breaks()

template<int dim>

const std::vector< real > & qugar::CartGridTP< dim >::get_breaks ( int dir ) const

nodiscard

Gets the breaks along the given direction dir.

Parameters

dir	Direction along which the breaks are extracted.

Returns: Breaks along dir.

◆ get_cell_domain()

template<int dim>

BoundBox< dim > qugar::CartGridTP< dim >::get_cell_domain ( int cell_fid ) const

nodiscard

Gets an cell's domain.

Parameters

cell_fid Flat id of the cell.

Returns: Bounding box of the cell's domain.

◆ get_cell_id()

template<int dim>

int qugar::CartGridTP< dim >::get_cell_id	(	const PointType &	point,
		const Tolerance &	tolerance = Tolerance() ) const

nodiscard

Get the id of the cell the given point belongs to.

Parameters

point	Point to query.
tolerance	Tolerance to be used in checkings.

Returns: Id of the cell. If the point belongs to more than one cell, it returns the lowest index of the neighbor cells.

◆ get_domain()

template<int dim>

const BoundBox< dim > & qugar::CartGridTP< dim >::get_domain ( ) const

nodiscard

Gets the grid's domain.

Returns: Grid's domain.

◆ get_num_cells()

template<int dim>

int qugar::CartGridTP< dim >::get_num_cells ( ) const

nodiscard

Gets the total number of cell.

Returns: Total number of cells.

◆ get_num_cells_dir()

template<int dim>

TensorSizeTP< dim > qugar::CartGridTP< dim >::get_num_cells_dir ( ) const

nodiscard

Gets the number of cells per direction.

Returns: Number of cells per direction.

◆ on_boundary()

template<int dim>

bool qugar::CartGridTP< dim >::on_boundary	(	int	cell_id,
		int	local_facet_id ) const

nodiscard

Checks if a cell's facet is on the grids boundary.

Parameters

cell_id	Id of the cell whose facet is checked.
local_facet_id	Id of the local facet of the cell.

Returns: bool Whether the face is on the grid's boundary.

◆ to_flat()

template<int dim>

int qugar::CartGridTP< dim >::to_flat ( const TensorIndexTP< dim > & tid ) const

nodiscard

Gets the flat index of a grid cell from the tensor index.

Parameters

tid	Tensor cell index to transform.

Returns: Flat cell index.

◆ to_tensor()

template<int dim>

TensorIndexTP< dim > qugar::CartGridTP< dim >::to_tensor ( int fid ) const

nodiscard

Gets the tensor index of a grid cell from the flat index.

Parameters

fid	Flat cell index to transform.

Returns: Tensor cell index.

Member Data Documentation

◆ breaks_

template<int dim>

std::array<std::vector<real>, dim> qugar::CartGridTP< dim >::breaks_

private

Breaks definining the cell intervals along the dim parametric directions.

◆ domain_

template<int dim>

qugar::BoundBox<dim> qugar::CartGridTP< dim >::domain_

private

Domain of the grid.

◆ range_

template<int dim>

TensorIndexRangeTP<dim> qugar::CartGridTP< dim >::range_

private

Indices range.

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

/__w/qugar/qugar/cpp/include/qugar/cart_grid_tp.hpp

Public Member Functions

Private Types

Private Attributes

Detailed Description

Member Typedef Documentation

◆ PointType

Constructor & Destructor Documentation

◆ CartGridTP() [1/3]

◆ CartGridTP() [2/3]

◆ CartGridTP() [3/3]

Member Function Documentation

◆ at_cells_boundary()

◆ get_boundary_cells()

◆ get_breaks()

◆ get_cell_domain()

◆ get_cell_id()

◆ get_domain()

◆ get_num_cells()

◆ get_num_cells_dir()

◆ on_boundary()

◆ to_flat()

◆ to_tensor()

Member Data Documentation

◆ breaks_

◆ domain_

◆ range_