t8_geometry_helpers.h File Reference

Defines t8code internal functions that are useful for geometry implementations. More...

#include <t8.h>

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Functions
void	t8_geom_compute_linear_geometry (t8_eclass_t tree_class, const double *tree_vertices, const double *ref_coords, double out_coords[3])
void	t8_geom_linear_interpolation (const double *coefficients, const double *corner_values, int corner_value_dim, int interpolation_dim, double *evaluated_function)
	Interpolates linearly between 2, bilinearly between 4 or trilineraly between 8 points. More...
void	t8_geom_get_face_vertices (t8_eclass_t tree_class, const double *tree_vertices, int face_index, int dim, double *face_vertices)
	Copies the vertex coordinates of a tree face in zorder into a separate array. More...
void	t8_geom_get_edge_vertices (t8_eclass_t tree_class, const double *tree_vertices, int edge_index, int dim, double *edge_vertices)
	Copies the vertex coordinates of a tree edge in zorder into a separate array. More...

Detailed Description

Defines t8code internal functions that are useful for geometry implementations.

Function Documentation

t8_geom_get_edge_vertices()

void t8_geom_get_edge_vertices	(	t8_eclass_t	tree_class,
		const double *	tree_vertices,
		int	edge_index,
		int	dim,
		double *	edge_vertices
	)

Copies the vertex coordinates of a tree edge in zorder into a separate array.

Parameters

[in]	tree_class	The eclass of the tree.
[in]	tree_vertices	Array with the tree vertex coordinates.
[in]	edge_index	Index of the edge, which vertices should be copied.
[in]	dim	The dimension of the edge vertices.
[out]	edge_vertices	Coordinates of the edge vertices in zorder.

t8_geom_get_face_vertices()

void t8_geom_get_face_vertices	(	t8_eclass_t	tree_class,
		const double *	tree_vertices,
		int	face_index,
		int	dim,
		double *	face_vertices
	)

Copies the vertex coordinates of a tree face in zorder into a separate array.

Parameters

[in]	tree_class	The eclass of the tree.
[in]	tree_vertices	Array with the tree vertex coordinates.
[in]	face_index	Index of the face, which vertices should be copied.
[in]	dim	The dimension of the face vertices.
[out]	face_vertices	Coordinates of the face vertices in zorder.

t8_geom_linear_interpolation()

void t8_geom_linear_interpolation	(	const double *	coefficients,
		const double *	corner_values,
		int	corner_value_dim,
		int	interpolation_dim,
		double *	evaluated_function
	)

Interpolates linearly between 2, bilinearly between 4 or trilineraly between 8 points.

Parameters

[in]	coefficients	An array of size at least dim giving the coefficients used for the interpolation
[in]	corner_values	An array of size 2^dim * 3, giving for each corner (in zorder) of the unit square/cube its function values in space.
[in]	corner_value_dim	The dimension of the corner_values.
[in]	interpolation_dim	The dimension of the interpolation (1 for linear, 2 for bilinear, 3 for trilinear)
[out]	evaluated_function	An array of size corner_value_dim, on output the result of the interpolation.