A hexahedron in the topology. More...

#include <topology3D.hh>

Inheritance diagram for concepts::Hexahedron:

Public Member Functions
const Attribute &	attrib () const
	Returns the attribute of the connector. More...

virtual const Hexahedron *	child (uint i) const

virtual Hexahedron *	child (uint i, bool mode=0)
	Returns a child. More...

Edge *	edge (uint i) const
	Returns a 1D component: edge. More...

Quad *	face (uint i) const
	Returns a 2D component: face. More...

const HexSubdivision *	getStrategy () const
	Returns the subdivision strategy of this quad. More...

	Hexahedron (Quad &quad0, Quad &quad1, Quad &quad2, Quad &quad3, Quad &quad4, Quad &quad5, const Attribute attrib=Attribute())
	Constructor. More...

const Key &	key () const
	Returns the key of the connector. More...

int	operator== (const Connector &cntr) const
	Comparison operator. More...

int	related (const Connector &conn) const
	Checks if this connector is related to `conn`. More...

Z2	rho (int i) const
	Returns the orientation of a face. More...

void	setAttrib (uint attrb)

void	setStrategy (const HexSubdivision *strategy=0) throw (StrategyChange)
	Sets the subdivision strategy of this hexahedron. More...

Z4	tau (int i) const
	Returns the rotation of a face. More...

Vertex *	vertex (uint i) const
	Returns a 0D component: vertex A 3D element consists of 2D, 1D and 0D elements, the vertices can be queried here. More...

virtual	~Hexahedron ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream. More...

Protected Attributes
Attribute	attrib_
	Attribute. More...

Key	key_
	Unique key of the connector. More...

Static Protected Attributes
static uint	cnt_
	Counter for the connectors. More...

Private Attributes
Hexahedron *	chld_
	Pointer to the first child. More...

Hexahedron *	lnk_
	Pointer to a sibling. More...

Quad *	quad_ [6]
	Array of quadrilaterals. More...

Z2	rho_ [6]
	Array of the orientation flags for the quadrilaterals. More...

const HexSubdivision *	subdivStrategy_
	NOTE: You have to look at the Hexahedron like this, where the numbering are the quads. More...

Z4	tau_ [6]
	Array of the rotation flags for the quadrilaterals. More...

Friends
class	HexSubdiv2x

class	HexSubdiv2y

class	HexSubdiv2z

class	HexSubdiv4x

class	HexSubdiv4y

class	HexSubdiv4z

class	HexSubdiv8

Detailed Description

A hexahedron in the topology.

Implements the abstract methods from the parent classes to query the children, the vertices, the edges and faces of the hexahedron.

Every face can have two different orientations in the hexahedron (this is stored in the array rho_ – similar to the orientation of an edge in a triangle or quadrilateral, see Triangle or Quad) and it can have four possible rotations (enumerating the vertices).

See also: Triangle; Quad

Author: Philipp Frauenfelder, 2000

Examples: meshes.cc.

Definition at line 134 of file topology3D.hh.

Constructor & Destructor Documentation

◆ Hexahedron()

concepts::Hexahedron::Hexahedron	(	Quad &	quad0,
		Quad &	quad1,
		Quad &	quad2,
		Quad &	quad3,
		Quad &	quad4,
		Quad &	quad5,
		const Attribute	attrib = `Attribute()`
	)

Constructor.

Creates a hexahedron out of six quadrilaterals. The faces must form a hexahedron.

The first quadrilateral is thought to be the floor of the hexahedron and its normal orientation is right screwed into the hexahedron. The normal orientation of the four walls is right screwed out of the hexahedron. The normal orientation of the last quadrilateral (the ceiling) is right screwed into the hexahedron.

The walls of the hexahedron (quadrilaterals 1 to 4) must be given in the proper order: they must follow the normal orientation of the floor.

Parameters

quad0	Floor of the hexahedron
quad1..quad4	Walls of the hexahedron
quad5	Ceiling of the hexahedron
attrib	Attribute of the hexahedron

◆ ~Hexahedron()

virtual concepts::Hexahedron::~Hexahedron ( )

virtual

Member Function Documentation

◆ attrib()

const Attribute& concepts::Connector::attrib ( ) const

inlineinherited

Returns the attribute of the connector.

Definition at line 108 of file connector.hh.

◆ child() [1/2]

virtual const Hexahedron* concepts::Hexahedron::child ( uint i ) const

virtual

Implements concepts::Connector3.

◆ child() [2/2]

virtual Hexahedron* concepts::Hexahedron::child	(	uint	i,
		bool	mode = `0`
	)

virtual

Returns a child.

If children are created, all faces of the hexahedron are refined and one new edge is introduced. This gives one new hexahedron per vertex and one per face.

Parameters

i	Index of the child to be returned.
mode	mode = 1: No children are created mode = 0: If no childs exist, eight new children are created.

Implements concepts::Connector3.

◆ edge()

Edge* concepts::Hexahedron::edge ( uint i ) const

virtual

Returns a 1D component: edge.

A 3D element consists of 2D, 1D and 0D elements, the edges can be queried here.

Parameters

i	Index of the edge

Implements concepts::Connector3.

◆ face()

Quad* concepts::Hexahedron::face ( uint i ) const

inlinevirtual

Returns a 2D component: face.

A 3D element consists of 2D, 1D and 0D elements, the faces can be queried here.

Parameters

i	Index of the face

Implements concepts::Connector3.

Definition at line 182 of file topology3D.hh.

◆ getStrategy()

const HexSubdivision* concepts::Hexahedron::getStrategy ( ) const

inline

Returns the subdivision strategy of this quad.

If you want to find check against another strategy use

quad.getStrategy() == QuadSubdiv2V::instance()

Definition at line 216 of file topology3D.hh.

◆ info()

virtual std::ostream& concepts::Hexahedron::info ( std::ostream & os ) const

protectedvirtual

Returns information in an output stream.

Reimplemented from concepts::Connector.

◆ key()

const Key& concepts::Connector::key ( ) const

inlineinherited

Returns the key of the connector.

Definition at line 105 of file connector.hh.

◆ operator==()

int concepts::Connector::operator== ( const Connector & cntr ) const

inlineinherited

Comparison operator.

Definition at line 102 of file connector.hh.

◆ related()

int concepts::Connector::related ( const Connector & conn ) const

inherited

Checks if this connector is related to conn.

It is being checked if one of the two is an ancestor of the other.

Parameters

conn	Other connector

Returns: An integer i.
i=0 if there is no relationship or the connectors are identical
i>0 if conn is an ancestor of this connector
i<0 if conn is a descendant of this connector
|i| gives the number of generations between the connectors

◆ rho()

Z2 concepts::Hexahedron::rho ( int i ) const

inline

Returns the orientation of a face.

See the description of rho_.

Parameters

i	Index of the face

Definition at line 188 of file topology3D.hh.

◆ setAttrib()

void concepts::Connector::setAttrib ( uint attrb )

inlineinherited

Definition at line 111 of file connector.hh.

◆ setStrategy()

void concepts::Hexahedron::setStrategy	(	const HexSubdivision *	strategy = `0`	)
throw	(	StrategyChange
	)

Sets the subdivision strategy of this hexahedron.

If the parameter is set to 0 (or if the method is called without parameter) the strategy is set to the default (if not already set). The default subdivision strategy is subdivision into 8 children.

  @param strategy Pointer to an instance of a subdivision strategy.

Exceptions

StrategyChange if the change is not allowed (the change is not allowed if there are children present)

◆ tau()

Z4 concepts::Hexahedron::tau ( int i ) const

inline

Returns the rotation of a face.

See the description of tau_.

Parameters

i	Index of the face

Definition at line 193 of file topology3D.hh.

◆ vertex()

Vertex* concepts::Hexahedron::vertex ( uint i ) const

virtual

Returns a 0D component: vertex A 3D element consists of 2D, 1D and 0D elements, the vertices can be queried here.

Parameters

i	Index of the vertex

Implements concepts::Connector3.

Friends And Related Function Documentation

◆ HexSubdiv2x

friend class HexSubdiv2x

friend

Definition at line 136 of file topology3D.hh.

◆ HexSubdiv2y

friend class HexSubdiv2y

friend

Definition at line 137 of file topology3D.hh.

◆ HexSubdiv2z

friend class HexSubdiv2z

friend

Definition at line 138 of file topology3D.hh.

◆ HexSubdiv4x

friend class HexSubdiv4x

friend

Definition at line 139 of file topology3D.hh.

◆ HexSubdiv4y

friend class HexSubdiv4y

friend

Definition at line 140 of file topology3D.hh.

◆ HexSubdiv4z

friend class HexSubdiv4z

friend

Definition at line 141 of file topology3D.hh.

◆ HexSubdiv8

friend class HexSubdiv8

friend

Definition at line 135 of file topology3D.hh.

Member Data Documentation

◆ attrib_

Attribute concepts::Connector::attrib_

protectedinherited

Attribute.

Definition at line 132 of file connector.hh.

◆ chld_

Hexahedron* concepts::Hexahedron::chld_

private

Pointer to the first child.

The children are stored in a linked list.

Definition at line 223 of file topology3D.hh.

◆ cnt_

uint concepts::Connector3::cnt_

staticprotectedinherited

Counter for the connectors.

This counter is used to create the unique key of the connector.

Definition at line 322 of file connector.hh.

◆ key_

Key concepts::Connector::key_

protectedinherited

Unique key of the connector.

Definition at line 129 of file connector.hh.

◆ lnk_

Hexahedron* concepts::Hexahedron::lnk_

private

Pointer to a sibling.

Definition at line 226 of file topology3D.hh.

◆ quad_

Quad* concepts::Hexahedron::quad_[6]

private

Array of quadrilaterals.

Definition at line 229 of file topology3D.hh.

◆ rho_

Z2 concepts::Hexahedron::rho_[6]

private

Array of the orientation flags for the quadrilaterals.

0 indicates that the quadrilateral has its normal orientation
1 indicates that the quadrilateral does not have its normal orientation

Definition at line 249 of file topology3D.hh.

◆ subdivStrategy_

const HexSubdivision* concepts::Hexahedron::subdivStrategy_

private

NOTE: You have to look at the Hexahedron like this, where the numbering are the quads.

    ____ ____
   | 1  | 0  |
   |____|____|
   | 2  |
   |____|
   | 3  |

____|____| | 5 | 4 | |____|____|

Rho and Tau specify the common edge, with orientation, one then has to turn and flip the quad to get the 0th edge in line with the unitvector in x (x,y;x,z) or y (y,z) direction. (ordering x<y<z) to have a working physical map on the baundary. For that to use properly there is a coordinate Transformation routine. Subdivision strategy for the hexahedron

Definition at line 267 of file topology3D.hh.

◆ tau_

Z4 concepts::Hexahedron::tau_[6]

private

Array of the rotation flags for the quadrilaterals.

tau_[0] gives the edge in the floor quadrilateral pointing to the first wall quadrilateral. tau_[i] for i=1,2,3,4 gives the edge in the respective quadrilateral which points to its predecessor. tau_[5] gives the edge in the ceiling quadrilateral pointing to the first wall quadrilateral.

Definition at line 239 of file topology3D.hh.

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

geometry/topology3D.hh

concepts::Hexahedron Class ReferenceGeometry

Public Member Functions

Protected Member Functions

Protected Attributes

Static Protected Attributes

Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

◆ Hexahedron()

◆ ~Hexahedron()

Member Function Documentation

◆ attrib()

◆ child() [1/2]

◆ child() [2/2]

◆ edge()

◆ face()

◆ getStrategy()

◆ info()

◆ key()

◆ operator==()

◆ related()

◆ rho()

◆ setAttrib()

◆ setStrategy()

◆ tau()

◆ vertex()

Friends And Related Function Documentation

◆ HexSubdiv2x

◆ HexSubdiv2y

◆ HexSubdiv2z

◆ HexSubdiv4x

◆ HexSubdiv4y

◆ HexSubdiv4z

◆ HexSubdiv8

Member Data Documentation

◆ attrib_

◆ chld_

◆ cnt_

◆ key_

◆ lnk_

◆ quad_

◆ rho_

◆ subdivStrategy_

◆ tau_

concepts::Hexahedron Class Reference
Geometry