concepts::Hexahedron Class Reference

A hexahedron in the topology. More...

#include <topology3D.hh>

Inheritance diagram for concepts::Hexahedron:

Collaboration diagram for concepts::Hexahedron:

List of all members.

Public Member Functions
const Attribute &	attrib () const
	Returns the attribute of the connector.
virtual const Hexahedron *	child (uint i) const
virtual Hexahedron *	child (uint i, bool mode=0)
	Returns a child.
Edge *	edge (uint i) const
	Returns a 1D component: edge.
Quad *	face (uint i) const
	Returns a 2D component: face.
const HexSubdivision *	getStrategy () const
	Returns the subdivision strategy of this quad.
	Hexahedron (Quad &quad0, Quad &quad1, Quad &quad2, Quad &quad3, Quad &quad4, Quad &quad5, const Attribute attrib=Attribute())
	Constructor.
const Key &	key () const
	Returns the key of the connector.
int	operator== (const Connector &cntr) const
	Comparison operator.
int	related (const Connector &conn) const
	Checks if this connector is related to conn.
Z2	rho (int i) const
	Returns the orientation of a face.
void	setStrategy (const HexSubdivision *strategy=0) throw (StrategyChange)
	Sets the subdivision strategy of this hexahedron.
Z4	tau (int i) const
	Returns the rotation of a face.
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.
virtual	~Hexahedron ()
Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const
	Returns information in an output stream.
Protected Attributes
Attribute	attrib_
	Attribute.
Key	key_
	Unique key of the connector.
Static Protected Attributes
static uint	cnt_
	Counter for the connectors.
Private Attributes
Hexahedron *	chld_
	Pointer to the first child.
Hexahedron *	lnk_
	Pointer to a sibling.
Quad *	quad_ [6]
	Array of quadrilaterals.
Z2	rho_ [6]
	Array of the orientation flags for the quadrilaterals.
const HexSubdivision *	subdivStrategy_
	Subdivision strategy for the hexahedron.
Z4	tau_ [6]
	Array of the rotation flags for the quadrilaterals.
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 132 of file topology3D.hh.

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Constructor & Destructor Documentation

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

virtual concepts::Hexahedron::~Hexahedron

(

)

[virtual]

---

Member Function Documentation

const Attribute& concepts::Connector::attrib

(

)

const [inline, inherited]

Returns the attribute of the connector.

Definition at line 104 of file connector.hh.

virtual const Hexahedron* concepts::Hexahedron::child

(

uint

i

)

const [virtual]

Implements concepts::Connector3.

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* 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.

Quad* concepts::Hexahedron::face

(

uint

i

)

const [inline, virtual]

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 180 of file topology3D.hh.

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 212 of file topology3D.hh.

virtual std::ostream& concepts::Hexahedron::info

(

std::ostream &

os

)

const [protected, virtual]

Returns information in an output stream.

Reimplemented from concepts::Connector.

const Key& concepts::Connector::key

(

)

const [inline, inherited]

Returns the key of the connector.

Definition at line 101 of file connector.hh.

int concepts::Connector::operator==

(

const Connector &

cntr

)

const [inline, inherited]

Comparison operator.

Definition at line 98 of file connector.hh.

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

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 186 of file topology3D.hh.

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.

Parameters:

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)

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 191 of file topology3D.hh.

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.

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Friends And Related Function Documentation

friend class HexSubdiv2x [friend]

Definition at line 134 of file topology3D.hh.

friend class HexSubdiv2y [friend]

Definition at line 135 of file topology3D.hh.

friend class HexSubdiv2z [friend]

Definition at line 136 of file topology3D.hh.

friend class HexSubdiv4x [friend]

Definition at line 137 of file topology3D.hh.

friend class HexSubdiv4y [friend]

Definition at line 138 of file topology3D.hh.

friend class HexSubdiv4z [friend]

Definition at line 139 of file topology3D.hh.

friend class HexSubdiv8 [friend]

Definition at line 133 of file topology3D.hh.

---

Member Data Documentation

Attribute concepts::Connector::attrib_ [protected, inherited]

Attribute.

Definition at line 123 of file connector.hh.

Hexahedron* concepts::Hexahedron::chld_ [private]

Pointer to the first child.

The children are stored in a linked list.

Definition at line 219 of file topology3D.hh.

uint concepts::Connector3::cnt_ [static, protected, inherited]

Counter for the connectors.

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

Definition at line 308 of file connector.hh.

Key concepts::Connector::key_ [protected, inherited]

Unique key of the connector.

Definition at line 120 of file connector.hh.

Hexahedron* concepts::Hexahedron::lnk_ [private]

Pointer to a sibling.

Definition at line 222 of file topology3D.hh.

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

Array of quadrilaterals.

Definition at line 225 of file topology3D.hh.

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 245 of file topology3D.hh.

const HexSubdivision* concepts::Hexahedron::subdivStrategy_ [private]

Subdivision strategy for the hexahedron.

Definition at line 248 of file topology3D.hh.

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 235 of file topology3D.hh.

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

• geometry/topology3D.hh