Tetrahedron. More...

#include <Tet3.h>

Public Member Functions
Point3	getCircumcenter ()
	Get Circumcenter. More...

void	getCorners (Point3 &p0, Point3 &p1, Point3 &p2, Point3 &p3) const
	Get Corners. More...

Point3 *	getCorner (const int ith) const
	Get Corner. More...

bool	hasVertex (const Point3 *p) const
	Has Vertex. More...

bool	hasVertex (const Point3 &p) const
	Has Vertex. More...

int	getIntraTetIndex (const Point3 *p) const
	Get IntraTetIndex. More...

int	getIntraTetIndex (const Tet3 *pNeigTet) const
	Get IntraTetIndex. More...

Tet3 *	getOppTet (const int ith) const
	Get Opposite Tetrahedron. More...

Tet3 *	getOppTet (const Point3 *pOppVtx) const
	Get Opposite Tetrahedron. More...

Point3 *	getOppVtxInOppTet (const int ith, bool bNullAllowed) const
	Get Opposite Tetrahedron. More...

Edge3	getEdge (const int opp3, const int opp2)
	Get Edge. More...

Facet3	getFacet (const int opp3)
	Get Facet. More...

Static Public Member Functions
static std::pair< int, int >	getEdgeIndices (int opp3, int opp2)
	Get Edge Indices. More...

Friends
std::ostream &	operator<< (std::ostream &stream, const Tet3 &pC)

Detailed Description

The 4 corners of a Tetrahedron (Tet3) are addressed by the Intra-Tetrahedron-Indices 0,1,2 and 3. For short we refer to them as the IntraTetIndices. A Tet3 is oriented and thus its IntraTetIndices appear in a specific order. Here is a memory hook (see the image): When a triangle with counterclockwise indices 0,1,2 lies on the floor then the remaining vertex 3 of the tetrahedron lies above this triangle.

IntraTetIndices: A counterclockwise triangle 0,1,2 on the floor and corner 3 above

Member Function Documentation

◆ getCircumcenter()

Point3 FADE3D::Tet3::getCircumcenter ( )

Returns: the center of a sphere that passes through the 4 corners of the present Tet3.

◆ getCorner()

Point3* FADE3D::Tet3::getCorner ( const int ith ) const

Returns: the corner with the ith IntraTetIndex

◆ getCorners()

void FADE3D::Tet3::getCorners	(	Point3 *&	p0,
		Point3 *&	p1,
		Point3 *&	p2,
		Point3 *&	p3
	)		const

Used to access all corners of the present Tet3 at once

◆ getEdge()

Edge3 FADE3D::Tet3::getEdge	(	const int	opp3,
		const int	opp2
	)

return an Edge3 addressed by the two IntraTetIndices opp3 (selects the opposite triangle) and opp2 (selects the edge of this triangle)

◆ getEdgeIndices()

static std::pair<int,int> FADE3D::Tet3::getEdgeIndices	(	int	opp3,
		int	opp2
	)

static

return a pair of IntraTetIndices that specify an edge of the tetrahedron.

The edge is selected through two IntraTetIndices: At first opp3 selects the opposite triangle. Then opp2 selects the opposite edge in this triangle. The triangle has a counterclockwise orientation (see the image) and thus the two returned indices are exactly defined.

◆ getFacet()

Facet3 FADE3D::Tet3::getFacet ( const int opp3 )

return the Facet3 opposite from the vertex addressed by opp3.

◆ getIntraTetIndex() [1/2]

int FADE3D::Tet3::getIntraTetIndex ( const Point3 * p ) const

Returns: the IntraTetIndex of the vertex p.

◆ getIntraTetIndex() [2/2]

int FADE3D::Tet3::getIntraTetIndex ( const Tet3 * pNeigTet ) const

The present Tet3 and pNeigTet must be neighbors. The present method returns the IntraTetIndex of the corner of the present Tet3 opposite to the shared triangle.

◆ getOppTet() [1/2]

Tet3* FADE3D::Tet3::getOppTet ( const int ith ) const

return the opposite tetrahedron of the ith corner, i.e., the tetrahedron adjacent at the facet opposite to the ith vertex.

◆ getOppTet() [2/2]

Tet3* FADE3D::Tet3::getOppTet ( const Point3 * pOppVtx ) const

return the opposite tetrahedron of pOppVtx, i.e., the tetrahedron adjacent at the facet opposite to pOppVtx.

◆ getOppVtxInOppTet()

Point3* FADE3D::Tet3::getOppVtxInOppTet	(	const int	ith,
		bool	bNullAllowed
	)		const

return the opposite vertex in the ith opposite tetrahedron.

◆ hasVertex() [1/2]

bool FADE3D::Tet3::hasVertex ( const Point3 * p ) const

Returns: true if any of the four vertex pointers corresponds to p

◆ hasVertex() [2/2]

bool FADE3D::Tet3::hasVertex ( const Point3 & p ) const

Returns: true if the coordinates of any of the four corner vertices correspond to the coordinates of p.

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

/home/geom/repo/dev/geomDev/dt3/dt3Library/Tet3.h

Public Member Functions

Static Public Member Functions

Friends