This file defines the c interface to (some of) the member functions of the t8_eclass_scheme_c class. More...

#include <t8_element.h>

Functions
size_t	t8_element_size (const t8_eclass_scheme_c *ts)
	Return the size of any element of a given class. More...

int	t8_element_refines_irregular (const t8_eclass_scheme_c *ts)
	Returns true, if there is one element in the tree, that does not refine into 2^dim children. More...

int	t8_element_maxlevel (const t8_eclass_scheme_c *ts)
	Return the maximum allowed level for any element of a given class. More...

t8_eclass_t	t8_element_child_eclass (const t8_eclass_scheme_c *ts, int childid)
	Return the type of each child in the ordering of the implementation. More...

int	t8_element_level (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Return the level of a particular element. More...

void	t8_element_copy (const t8_eclass_scheme_c ts, const t8_element_t source, t8_element_t *dest)
	Copy all entries of source to dest. More...

int	t8_element_compare (const t8_eclass_scheme_c ts, const t8_element_t elem1, const t8_element_t *elem2)
	Compare two elements. More...

void	t8_element_parent (const t8_eclass_scheme_c ts, const t8_element_t elem, t8_element_t *parent)
	Compute the parent of a given element elem and store it in parent. More...

int	t8_element_num_siblings (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the number of siblings of an element. More...

void	t8_element_sibling (const t8_eclass_scheme_c ts, const t8_element_t elem, int sibid, t8_element_t *sibling)
	Compute a specific sibling of a given element elem and store it in sibling. More...

int	t8_element_num_corners (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the number of corners of an element. More...

int	t8_element_num_faces (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the number of faces of an element. More...

int	t8_element_max_num_faces (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the maximum number of faces of a given element and all of its descendants. More...

int	t8_element_num_children (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the number of children of an element when it is refined. More...

int	t8_element_num_face_children (const t8_eclass_scheme_c ts, const t8_element_t elem, int face)
	Compute the number of children of an element's face when the element is refined. More...

int	t8_element_get_face_corner (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, int corner)
	Return the corner number of an element's face corner. More...

int	t8_element_get_corner_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int corner, int face)
	Compute the face numbers of the faces sharing an element's corner. More...

void	t8_element_child (const t8_eclass_scheme_c ts, const t8_element_t elem, int childid, t8_element_t *child)
	Construct the child element of a given number. More...

void	t8_element_children (const t8_eclass_scheme_c ts, const t8_element_t elem, int length, t8_element_t *c[])
	Construct all children of a given element. More...

int	t8_element_child_id (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the child id of an element. More...

int	t8_element_ancestor_id (const t8_eclass_scheme_c ts, const t8_element_t elem, int level)
	Compute the ancestor id of an element, that is the child id at a given level. More...

int	t8_element_is_family (const t8_eclass_scheme_c ts, t8_element_t *fam)
	Query whether a given set of elements is a family or not. More...

void	t8_element_nca (const t8_eclass_scheme_c ts, const t8_element_t elem1, const t8_element_t elem2, t8_element_t nca)
	Compute the nearest common ancestor of two elements. More...

t8_element_shape_t	t8_element_face_shape (const t8_eclass_scheme_c ts, const t8_element_t elem, int face)
	Compute the shape of the face of an element. More...

void	t8_element_children_at_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, t8_element_t children[], int num_children, int child_indices)
	Given an element and a face of the element, compute all children of the element that touch the face. More...

int	t8_element_face_child_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, int face_child)
	Given a face of an element and a child number of a child of that face, return the face number of the child of the element that matches the child face. More...

int	t8_element_face_parent_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face)
	Given a face of an element return the face number of the parent of the element that matches the element's face. More...

int	t8_element_tree_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face)
	Given an element and a face of this element. More...

void	t8_element_transform_face (const t8_eclass_scheme_c ts, const t8_element_t elem1, t8_element_t *elem2, int orientation, int sign, int is_smaller_face)
	Suppose we have two trees that share a common face f. More...

int	t8_element_extrude_face (const t8_eclass_scheme_c ts, const t8_element_t face, const t8_eclass_scheme_c face_scheme, t8_element_t elem, int root_face)
	Given a boundary face inside a root tree's face construct the element inside the root tree that has the given face as a face. More...

void	t8_element_boundary_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, t8_element_t boundary, const t8_eclass_scheme_c boundary_scheme)
	Construct the boundary element at a specific face. More...

void	t8_element_first_descendant_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, t8_element_t *first_desc, int level)
	Construct the first descendant of an element at a given level that touches a given face. More...

void	t8_element_last_descendant_face (const t8_eclass_scheme_c ts, const t8_element_t elem, int face, t8_element_t *last_desc, int level)
	Construct the last descendant of an element at a given level that touches a given face. More...

int	t8_element_is_root_boundary (const t8_eclass_scheme_c ts, const t8_element_t elem, int face)
	Construct all codimension-one boundary elements of a given element. More...

int	t8_element_face_neighbor_inside (const t8_eclass_scheme_c ts, const t8_element_t elem, t8_element_t neigh, int face, int neigh_face)
	Construct the face neighbor of a given element if this face neighbor is inside the root tree. More...

t8_element_shape_t	t8_element_shape (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Return the shape of an allocated element according its type. More...

void	t8_element_set_linear_id (const t8_eclass_scheme_c ts, t8_element_t elem, int level, t8_linearidx_t id)
	Initialize the entries of an allocated element according to a given linear id in a uniform refinement. More...

t8_linearidx_t	t8_element_get_linear_id (const t8_eclass_scheme_c ts, const t8_element_t elem, int level)
	Compute the linear id of a given element in a hypothetical uniform refinement of a given level. More...

void	t8_element_first_descendant (const t8_eclass_scheme_c ts, const t8_element_t elem, t8_element_t *desc, int level)
	Compute the first descendant of a given element. More...

void	t8_element_last_descendant (const t8_eclass_scheme_c ts, const t8_element_t elem, t8_element_t *desc, int level)
	Compute the last descendant of a given element. More...

void	t8_element_successor (const t8_eclass_scheme_c ts, const t8_element_t elem1, t8_element_t *elem2, int level)
	Construct the successor in a uniform refinement of a given element. More...

int	t8_element_root_len (const t8_eclass_scheme_c ts, const t8_element_t elem)
	Compute the root lenght of a given element, that is the length of its level 0 ancestor. More...

void	t8_element_vertex_reference_coords (const t8_eclass_scheme_c ts, const t8_element_t t, const int vertex, double coords[])
	Compute the coordinates of a given element vertex inside a reference tree that is embedded into [0,1]^d (d = dimension). More...

t8_gloidx_t	t8_element_count_leafs (const t8_eclass_scheme_c ts, const t8_element_t t, int level)
	Return a pointer to a t8_element in an array indexed by a size_t. More...

t8_gloidx_t	t8_element_count_leafs_from_root (const t8_eclass_scheme_c *ts, int level)
	Count how many leaf descendants of a given uniform level the root element will produce. More...

void	t8_element_general_function (const t8_eclass_scheme_c ts, const t8_element_t elem, const void indata, void outdata)
	This function has no defined effect but each implementation is free to provide its own meaning of it. More...

void	t8_element_new (const t8_eclass_scheme_c ts, int length, t8_element_t *elems)
	Allocate memory for an array of elements of a given class and initialize them. More...

void	t8_element_destroy (const t8_eclass_scheme_c ts, int length, t8_element_t *elems)
	Deallocate an array of elements. More...

Detailed Description

This file defines the c interface to (some of) the member functions of the t8_eclass_scheme_c class.

We recomment to use the C++ functions directly and only use this interface when you really need to use C.

Function Documentation

◆ t8_element_ancestor_id()

int t8_element_ancestor_id	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	level
	)

Compute the ancestor id of an element, that is the child id at a given level.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	This must be a valid element.
[in]	level	A refinement level. Must satisfy level < elem.level

Returns: The child_id of elem in regard to its level ancestor.

◆ t8_element_boundary_face()

void t8_element_boundary_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		t8_element_t *	boundary,
		const t8_eclass_scheme_c *	boundary_scheme
	)

Construct the boundary element at a specific face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The input element.
[in]	face	The index of the face of which to construct the boundary element.
[in,out]	boundary	An allocated element of dimension of element minus 1. The entries will be filled with the entries of the face of element.
[in]	boundary_scheme	The scheme for the eclass of the boundary face. If elem is of class T8_ECLASS_VERTEX, then boundary must be NULL and will not be modified.

◆ t8_element_child()

void t8_element_child	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	childid,
		t8_element_t *	child
	)

Construct the child element of a given number.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	This must be a valid element, bigger than maxlevel.
[in]	childid	The number of the child to construct.
[in,out]	child	The storage for this element must exist and match the element class of the child. For a pyramid, for example, it may be either a tetrahedron or a pyramid depending on childid. This can be checked by t8_element_child_eclass. On output, a valid element. It is valid to call this function with elem = child.

See also: t8_element_child_eclass

◆ t8_element_child_eclass()

t8_eclass_t t8_element_child_eclass	(	const t8_eclass_scheme_c *	ts,
		int	childid
	)

Return the type of each child in the ordering of the implementation.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	childid	Must be between 0 and the number of children (exclusive). The number of children is defined in t8_element_num_children.

Returns: The type for the given child.

◆ t8_element_child_id()

int t8_element_child_id	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the child id of an element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	This must be a valid element.

Returns: The child id of elem.

◆ t8_element_children()

void t8_element_children	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	length,
		t8_element_t *	c[]
	)

Construct all children of a given element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	This must be a valid element, bigger than maxlevel.
[in]	length	The length of the output array c must match the number of children.
[in,out]	c	The storage for these length elements must exist and match the element class in the children's ordering. On output, all children are valid. It is valid to call this function with elem = c[0].

See also: t8_element_num_children; t8_element_child_eclass

◆ t8_element_children_at_face()

void t8_element_children_at_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		t8_element_t *	children[],
		int	num_children,
		int *	child_indices
	)

Given an element and a face of the element, compute all children of the element that touch the face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	A face of elem.
[in,out]	children	Allocated elements, in which the children of elem that share a face with face are stored. They will be stored in order of their linear id.
[in]	num_children	The number of elements in children. Must match the number of children that touch face. t8_element_num_face_children
[in,out]	child_indices	If not NULL, an array of num_children integers must be given, on output its i-th entry is the child_id of the i-th face_child. It is valid to call this function with elem = children[0].

◆ t8_element_compare()

int t8_element_compare	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem1,
		const t8_element_t *	elem2
	)

Compare two elements.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem1	The first element.
[in]	elem2	The second element.

Returns: negativ if elem1 < elem2, zero if elem1 equals elem2 and positiv if elem1 > elem2. If elem2 is a copy of elem1 then the elements are equal.

◆ t8_element_copy()

void t8_element_copy	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	source,
		t8_element_t *	dest
	)

Copy all entries of source to dest.

dest must be an existing element. No memory is allocated by this function.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	source	The element whose entries will be copied to dest.
[in,out]	dest	This element's entries will be overwritted with the entries of source.

Note: source and dest may point to the same element.

◆ t8_element_count_leafs()

t8_gloidx_t t8_element_count_leafs	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	t,
		int	level
	)

Return a pointer to a t8_element in an array indexed by a size_t.

Parameters

[in]	array	The sc_array storing \t t8_element_t pointers.
[in]	it	The index of the element that should be returned.

Returns: A pointer to the it-th element in array. We provide a default implementation of this routine that should suffice for most use cases. Count how many leaf descendants of a given uniform level an element would produce.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	t	The element to be checked.
[in]	level	A refinement level.

Returns: Suppose t is uniformly refined up to level level. The return value is the resulting number of elements (of the given level). If level < t8_element_level(t), the return value should be 0.

Example: If t is a line element that refines into 2 line elements on each level, then the return value is max(0, 2^{level - level(t)}). Thus, if t's level is 0, and level = 3, the return value is 2^3 = 8.

◆ t8_element_count_leafs_from_root()

t8_gloidx_t t8_element_count_leafs_from_root	(	const t8_eclass_scheme_c *	ts,
		int	level
	)

Count how many leaf descendants of a given uniform level the root element will produce.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	level	A refinement level.

Returns: The value of t8_element_count_leafs if the input element is the root (level 0) element.

This is a convenience function, and can be implemented via t8_element_count_leafs.

◆ t8_element_destroy()

void t8_element_destroy	(	const t8_eclass_scheme_c *	ts,
		int	length,
		t8_element_t **	elems
	)

Deallocate an array of elements.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	length	The number of elements in the array.
[in,out]	elems	On input an array of length many allocated element pointers. On output all these pointers will be freed. elem itself will not be freed by this function.

◆ t8_element_extrude_face()

int t8_element_extrude_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	face,
		const t8_eclass_scheme_c *	face_scheme,
		t8_element_t *	elem,
		int	root_face
	)

Given a boundary face inside a root tree's face construct the element inside the root tree that has the given face as a face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	face	A face element.
[in]	face_scheme	The scheme for the face element.
[in,out]	elem	An allocated element. The entries will be filled with the data of the element that has face as a face and lies within the root tree.
[in]	root_face	The index of the face of the root tree in which face lies.

Returns: The face number of the face of elem that coincides with face.

◆ t8_element_face_child_face()

int t8_element_face_child_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		int	face_child
	)

Given a face of an element and a child number of a child of that face, return the face number of the child of the element that matches the child face.

*  x ---- x   x      x           x ---- x
*  |      |   |      |           |   |  | <-- f
*  |      |   |      x           |   x--x
*  |      |   |                  |      |
*  x ---- x   x                  x ---- x
*   elem    face  face_child    Returns the face number f
*

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	Then number of the face.
[in]	face_child	A number 0 <= face_child < num_face_children, specifying a child of elem that shares a face with face. These children are counted in linear order. This coincides with the order of children from a call to t8_element_children_at_face.

Returns: The face number of the face of a child of elem that conincides with face_child.

◆ t8_element_face_neighbor_inside()

int t8_element_face_neighbor_inside	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		t8_element_t *	neigh,
		int	face,
		int *	neigh_face
	)

Construct the face neighbor of a given element if this face neighbor is inside the root tree.

Return 0 otherwise.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element to be considered.
[in,out]	neigh	If the face neighbor of elem along face is inside the root tree, this element's data is filled with the data of the face neighbor. Otherwise the data can be modified arbitrarily.
[in]	face	The number of the face along which the neighbor should be constructed.
[out]	neigh_face	The number of face as viewed from neigh. An arbitrary value, if the neighbor is not inside the root tree.

Returns: True if neigh is inside the root tree. False if not. In this case neigh's data can be arbitrary on output.

◆ t8_element_face_parent_face()

int t8_element_face_parent_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face
	)

Given a face of an element return the face number of the parent of the element that matches the element's face.

Or return -1 if no face of the parent matches the face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	Then number of the face.

Returns: If face of elem is also a face of elem's parent, the face number of this face. Otherwise -1.

Note: For the root element this function always returns face.

◆ t8_element_face_shape()

t8_element_shape_t t8_element_face_shape	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face
	)

Compute the shape of the face of an element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	A face of elem.

Returns: The element shape of the face. I.e. T8_ECLASS_LINE for quads, T8_ECLASS_TRIANGLE for tets and depending on the face number either T8_ECLASS_QUAD or T8_ECLASS_TRIANGLE for prisms.

◆ t8_element_first_descendant()

void t8_element_first_descendant	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		t8_element_t *	desc,
		int	level
	)

Compute the first descendant of a given element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose descendant is computed.
[out]	desc	The first element in a uniform refinement of elem of the maximum possible level.

◆ t8_element_first_descendant_face()

void t8_element_first_descendant_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		t8_element_t *	first_desc,
		int	level
	)

Construct the first descendant of an element at a given level that touches a given face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The input element.
[in]	face	A face of elem.
[in,out]	first_desc	An allocated element. This element's data will be filled with the data of the first descendant of elem that shares a face with face.
[in]	level	The level, at which the first descendant is constructed

◆ t8_element_general_function()

void t8_element_general_function	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		const void *	indata,
		void *	outdata
	)

This function has no defined effect but each implementation is free to provide its own meaning of it.

Thus this function can be used to compute or lookup very scheme implementation specific data.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	An valid element
[in]	indata	Pointer to input data
[out]	outdata	Pointer to output data. For the correct usage of indata and outdata see the specific implementations of the scheme. For example the default scheme triangle and tetrahedron implementations use this function to return the type of a tri/tet to the caller.

◆ t8_element_get_corner_face()

int t8_element_get_corner_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	corner,
		int	face
	)

Compute the face numbers of the faces sharing an element's corner.

Example quad: 2 x — x 3 | | | | face 1 0 x — x 1 face 2 Thus for corner = 1 the output is: face=0 : 2, face=1: 1

Parameters

[in]	ts	Implementation of a class scheme.
[in]	element	The element.
[in]	corner	A corner index for the face.
[in]	face	A face index for corner.

Returns: The face number of the face-th face at corner.

◆ t8_element_get_face_corner()

int t8_element_get_face_corner	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		int	corner
	)

Return the corner number of an element's face corner.

Example quad: 2 x — x 3 | | | | face 1 0 x — x 1 Thus for face = 1 the output is: corner=0 : 1, corner=1: 3

Parameters

[in]	ts	Implementation of a class scheme.
[in]	element	The element.
[in]	face	A face index for element.
[in]	corner	A corner index for the face 0 <= corner < num_face_corners.

Returns: The corner number of the corner-th vertex of face.

The order in which the corners must be given is determined by the eclass of element: LINE/QUAD/TRIANGLE: No specific order. HEX : In Z-order of the face starting with the lowest corner number. TET : Starting with the lowest corner number counterclockwise as seen from 'outside' of the element.

◆ t8_element_get_linear_id()

t8_linearidx_t t8_element_get_linear_id	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	level
	)

Compute the linear id of a given element in a hypothetical uniform refinement of a given level.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose id we compute.
[in]	level	The level of the uniform refinement to consider.

Returns: The linear id of the element.

◆ t8_element_is_family()

int t8_element_is_family	(	const t8_eclass_scheme_c *	ts,
		t8_element_t **	fam
	)

Query whether a given set of elements is a family or not.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	fam	An array of as many elements as an element of class ts has children.

Returns: Zero if fam is not a family, nonzero if it is.

◆ t8_element_is_root_boundary()

int t8_element_is_root_boundary	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face
	)

Construct all codimension-one boundary elements of a given element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The input element.
[in]	face	A face of elem.

Returns: True if face is a subface of the element's root element. Compute whether a given element shares a given face with its root tree.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The input element.
[in]	face	A face of elem.

Returns: True if face is a subface of the element's root element.

◆ t8_element_last_descendant()

void t8_element_last_descendant	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		t8_element_t *	desc,
		int	level
	)

Compute the last descendant of a given element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose descendant is computed.
[out]	desc	The last element in a uniform refinement of elem of the maximum possible level.

◆ t8_element_last_descendant_face()

void t8_element_last_descendant_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face,
		t8_element_t *	last_desc,
		int	level
	)

Construct the last descendant of an element at a given level that touches a given face.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The input element.
[in]	face	A face of elem.
[in,out]	last_desc	An allocated element. This element's data will be filled with the data of the last descendant of elem that shares a face with face.
[in]	level	The level, at which the last descendant is constructed

◆ t8_element_level()

int t8_element_level	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Return the level of a particular element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose level should be returned.

Returns: The level of elem.

◆ t8_element_max_num_faces()

int t8_element_max_num_faces	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the maximum number of faces of a given element and all of its descendants.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.

Returns: The number of faces of element.

◆ t8_element_maxlevel()

int t8_element_maxlevel ( const t8_eclass_scheme_c * ts )

Return the maximum allowed level for any element of a given class.

Parameters

[in] ts Implementation of a class scheme.

Returns: The maximum allowed level for elements of class ts.

◆ t8_element_nca()

void t8_element_nca	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem1,
		const t8_element_t *	elem2,
		t8_element_t *	nca
	)

Compute the nearest common ancestor of two elements.

That is, the element with highest level that still has both given elements as descendants.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem1	The first of the two input elements.
[in]	elem2	The second of the two input elements.
[in,out]	nca	The storage for this element must exist and match the element class of the child. On output the unique nearest common ancestor of elem1 and elem2.

◆ t8_element_new()

void t8_element_new	(	const t8_eclass_scheme_c *	ts,
		int	length,
		t8_element_t **	elems
	)

Allocate memory for an array of elements of a given class and initialize them.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	length	The number of elements to be allocated.
[in,out]	elems	On input an array of length many unallocated element pointers. On output all these pointers will point to an allocated and initialized element.

Note: Not every element that is created in t8code will be created by a call to this function. However, if an element is not created using t8_element_new, then it is guaranteed that t8_element_init is called on it.; In debugging mode, an element that was created with t8_element_new must pass t8_element_is_valid.; If an element was created by t8_element_new then t8_element_init may not be called for it. Thus, t8_element_new should initialize an element in the same way as a call to t8_element_init would.

See also: t8_element_init; t8_element_is_valid

◆ t8_element_num_children()

int t8_element_num_children	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the number of children of an element when it is refined.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.

Returns: The number of children of element.

◆ t8_element_num_corners()

int t8_element_num_corners	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the number of corners of an element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.

Returns: The number of corners of element.

◆ t8_element_num_face_children()

int t8_element_num_face_children	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face
	)

Compute the number of children of an element's face when the element is refined.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	A face of elem.

Returns: The number of children of face if elem is to be refined.

◆ t8_element_num_faces()

int t8_element_num_faces	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the number of faces of an element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.

Returns: The number of faces of element.

◆ t8_element_num_siblings()

int t8_element_num_siblings	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the number of siblings of an element.

That is the number of Children of its parent.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.

Returns: The number of siblings of element. Note that this number is >= 1, since we count the element itself as a sibling.

◆ t8_element_parent()

void t8_element_parent	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		t8_element_t *	parent
	)

Compute the parent of a given element elem and store it in parent.

parent needs to be an existing element. No memory is allocated by this function. elem and parent can point to the same element, then the entries of elem are overwritten by the ones of its parent.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose parent will be computed.
[in,out]	parent	This element's entries will be overwritten by those of elem's parent. The storage for this element must exist and match the element class of the parent.

◆ t8_element_refines_irregular()

int t8_element_refines_irregular ( const t8_eclass_scheme_c * ts )

Returns true, if there is one element in the tree, that does not refine into 2^dim children.

Returns false otherwise.

◆ t8_element_root_len()

int t8_element_root_len	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Compute the root lenght of a given element, that is the length of its level 0 ancestor.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose root length should be computed.

Returns: The root length of elem

◆ t8_element_set_linear_id()

void t8_element_set_linear_id	(	const t8_eclass_scheme_c *	ts,
		t8_element_t *	elem,
		int	level,
		t8_linearidx_t	id
	)

Initialize the entries of an allocated element according to a given linear id in a uniform refinement.

Parameters

[in]	ts	Implementation of a class scheme.
[in,out]	elem	The element whose entries will be set.
[in]	level	The level of the uniform refinement to consider.
[in]	id	The linear id. id must fulfil 0 <= id < 'number of leafs in the uniform refinement'

◆ t8_element_shape()

t8_element_shape_t t8_element_shape	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem
	)

Return the shape of an allocated element according its type.

For example, a child of an element can be an element of a different shape and has to be handled differently - according to its shape.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element to be considered

Returns: The shape of the element as an eclass

◆ t8_element_sibling()

void t8_element_sibling	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	sibid,
		t8_element_t *	sibling
	)

Compute a specific sibling of a given element elem and store it in sibling.

sibling needs to be an existing element. No memory is allocated by this function. elem and sibling can point to the same element, then the entries of elem are overwritten by the ones of its i-th sibling.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element whose sibling will be computed.
[in]	sibid	The id of the sibling computed.
[in,out]	sibling	This element's entries will be overwritten by those of elem's sibid-th sibling. The storage for this element must exist and match the element class of the sibling.

◆ t8_element_size()

size_t t8_element_size ( const t8_eclass_scheme_c * ts )

Return the size of any element of a given class.

Returns: The size of an element of class ts. We provide a default implementation of this routine that should suffice for most use cases.

◆ t8_element_successor()

void t8_element_successor	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem1,
		t8_element_t *	elem2,
		int	level
	)

Construct the successor in a uniform refinement of a given element.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem1	The element whose successor should be constructed.
[in,out]	elem2	The element whose entries will be set.
[in]	level	The level of the uniform refinement to consider.

◆ t8_element_transform_face()

void t8_element_transform_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem1,
		t8_element_t *	elem2,
		int	orientation,
		int	sign,
		int	is_smaller_face
	)

Suppose we have two trees that share a common face f.

Given an element e that is a subface of f in one of the trees and given the orientation of the tree connection, construct the face element of the respective tree neighbor that logically coincides with e but lies in the coordinate system of the neighbor tree.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem1	The face element.
[in,out]	elem2	On return the face elment elem1 with respective to the coordinate system of the other tree.
[in]	orientation	The orientation of the tree-tree connection.

See also: t8_cmesh_set_join

Parameters

[in]	sign	Depending on the topological orientation of the two tree faces, either 0 (both faces have opposite orientation) or 1 (both faces have the same top. orientattion). t8_eclass_face_orientation
[in]	is_smaller_face	Flag to declare whether elem1 belongs to the smaller face. A face f of tree T is smaller than f' of T' if either the eclass of T is smaller or if the classes are equal and f<f'. The orientation is defined in relation to the smaller face.

Note: elem1 and elem2 may point to the same element.

◆ t8_element_tree_face()

int t8_element_tree_face	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	elem,
		int	face
	)

Given an element and a face of this element.

If the face lies on the tree boundary, return the face number of the tree face. If not the return value is arbitrary.

Parameters

[in]	ts	Implementation of a class scheme.
[in]	elem	The element.
[in]	face	The index of a face of elem.

Returns: The index of the tree face that face is a subface of, if face is on a tree boundary. Any arbitrary integer if is not at a tree boundary.

◆ t8_element_vertex_reference_coords()

void t8_element_vertex_reference_coords	(	const t8_eclass_scheme_c *	ts,
		const t8_element_t *	t,
		const int	vertex,
		double	coords[]
	)

Compute the coordinates of a given element vertex inside a reference tree that is embedded into [0,1]^d (d = dimension).

Parameters

[in]	ts	Implementation of a class scheme.
[in]	t	The element to be considered.
[in]	vertex	The id of the vertex whose coordinates shall be computed.
[out]	coords	An array of at least as many doubles as the element's dimension whose entries will be filled with the coordinates of vertex.

Functions

Detailed Description

Function Documentation

◆ t8_element_ancestor_id()

◆ t8_element_boundary_face()

◆ t8_element_child()

◆ t8_element_child_eclass()

◆ t8_element_child_id()

◆ t8_element_children()

◆ t8_element_children_at_face()

◆ t8_element_compare()

◆ t8_element_copy()

◆ t8_element_count_leafs()

◆ t8_element_count_leafs_from_root()

◆ t8_element_destroy()

◆ t8_element_extrude_face()

◆ t8_element_face_child_face()

◆ t8_element_face_neighbor_inside()

◆ t8_element_face_parent_face()

◆ t8_element_face_shape()

◆ t8_element_first_descendant()

◆ t8_element_first_descendant_face()

◆ t8_element_general_function()

◆ t8_element_get_corner_face()

◆ t8_element_get_face_corner()

◆ t8_element_get_linear_id()

◆ t8_element_is_family()

◆ t8_element_is_root_boundary()

◆ t8_element_last_descendant()

◆ t8_element_last_descendant_face()

◆ t8_element_level()

◆ t8_element_max_num_faces()

◆ t8_element_maxlevel()

◆ t8_element_nca()

◆ t8_element_new()

◆ t8_element_num_children()

◆ t8_element_num_corners()

◆ t8_element_num_face_children()

◆ t8_element_num_faces()

◆ t8_element_num_siblings()

◆ t8_element_parent()

◆ t8_element_refines_irregular()

◆ t8_element_root_len()

◆ t8_element_set_linear_id()

◆ t8_element_shape()

◆ t8_element_sibling()

◆ t8_element_size()

◆ t8_element_successor()

◆ t8_element_transform_face()

◆ t8_element_tree_face()

◆ t8_element_vertex_reference_coords()