A tetrahedron primitive. More...

Public Types
enum	{ nVertices = 4 , nEdges = 6 }

Public Member Functions
	tetrahedron (const Point &a, const Point &b, const Point &c, const Point &d)
	Construct from points. More...

	tetrahedron (const UList< Point > &, const FixedList< label, 4 > &indices)
	Construct from four points in the list of points. More...

	tetrahedron (Istream &)
	Construct from Istream. More...

const Point &	a () const
	Return vertices. More...

const Point &	b () const

const Point &	c () const

const Point &	d () const

triPointRef	tri (const label facei) const
	Return i-th face. More...

vector	Sa () const
	Return face normal. More...

vector	Sb () const

vector	Sc () const

vector	Sd () const

Point	centre () const
	Return centre (centroid) More...

scalar	mag () const
	Return volume. More...

Tuple2< Point, scalar >	circumSphere () const
	Return the circum centre and radius. More...

scalar	quality () const
	Return quality: Ratio of tetrahedron and circum-sphere. More...

Point	randomPoint (Random &rndGen) const
	Return a random point in the tetrahedron from a. More...

Point	barycentricToPoint (const barycentric &bary) const
	Calculate the point from the given barycentric coordinates. More...

barycentric	pointToBarycentric (const point &pt) const
	Calculate the barycentric coordinates from the given point. More...

scalar	pointToBarycentric (const point &pt, barycentric &bary) const
	Calculate the barycentric coordinates from the given point. More...

pointHit	nearestPoint (const point &p) const
	Return nearest point to p on tetrahedron. Is p itself. More...

bool	inside (const point &pt) const
	Return true if point is inside tetrahedron. More...

boundBox	bounds () const
	Calculate the bounding box. More...

Friends
Istream &	operator>> (Istream &, tetrahedron &)

Ostream &	operator (Ostream &, const tetrahedron &)

Detailed Description

template<class Point, class PointRef>
class Foam::tetrahedron< Point, PointRef >

A tetrahedron primitive.

Ordering of edges needs to be the same for a tetrahedron class, a tetrahedron cell shape model and a tetCell.

Source files

Definition at line 81 of file tetrahedron.H.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
nVertices
nEdges

Definition at line 92 of file tetrahedron.H.

Constructor & Destructor Documentation

◆ tetrahedron() [1/3]

tetrahedron	(	const Point &	a,
		const Point &	b,
		const Point &	c,
		const Point &	d
	)

inline

Construct from points.

Definition at line 33 of file tetrahedronI.H.

◆ tetrahedron() [2/3]

tetrahedron	(	const UList< Point > &	points,
		const FixedList< label, 4 > &	indices
	)

inline

Construct from four points in the list of points.

Definition at line 49 of file tetrahedronI.H.

◆ tetrahedron() [3/3]

tetrahedron ( Istream & is )

inline

Construct from Istream.

Definition at line 63 of file tetrahedronI.H.

Member Function Documentation

◆ a()

const Point & a

inline

Return vertices.

Definition at line 72 of file tetrahedronI.H.

◆ b()

const Point & b

inline

Definition at line 79 of file tetrahedronI.H.

◆ c()

const Point & c

inline

Definition at line 86 of file tetrahedronI.H.

◆ d()

const Point & d

inline

Definition at line 93 of file tetrahedronI.H.

◆ tri()

Foam::triPointRef tri ( const label facei ) const

inline

Return i-th face.

Definition at line 100 of file tetrahedronI.H.

References Foam::abort(), Foam::FatalError, and FatalErrorInFunction.

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◆ Sa()

Foam::vector Sa

inline

Return face normal.

Definition at line 135 of file tetrahedronI.H.

References triangle< Point, PointRef >::area().

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◆ Sb()

Foam::vector Sb

inline

Definition at line 142 of file tetrahedronI.H.

References triangle< Point, PointRef >::area().

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◆ Sc()

Foam::vector Sc

inline

Definition at line 149 of file tetrahedronI.H.

References triangle< Point, PointRef >::area().

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◆ Sd()

Foam::vector Sd

inline

Definition at line 156 of file tetrahedronI.H.

References triangle< Point, PointRef >::area().

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◆ centre()

Point centre

inline

Return centre (centroid)

Definition at line 163 of file tetrahedronI.H.

◆ mag()

Foam::scalar mag

inline

Return volume.

Definition at line 170 of file tetrahedronI.H.

Referenced by tetOverlapVolume::cellVolumeMinDecomp(), Dual< Type >::Dual(), and Moment< Type >::Moment().

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◆ circumSphere()

Foam::Tuple2< Point, Foam::scalar > circumSphere

inline

Return the circum centre and radius.

Definition at line 178 of file tetrahedronI.H.

References b, Foam::constant::universal::c, lambda(), Foam::mag(), Foam::magSqr(), Foam::constant::physicoChemical::mu, Foam::sqrt(), and VectorSpace< Form, Cmpt, Ncmpts >::uniform().

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◆ quality()

Foam::scalar quality

inline

Return quality: Ratio of tetrahedron and circum-sphere.

volume, scaled so that a regular tetrahedron has a quality of 1

Definition at line 208 of file tetrahedronI.H.

References Foam::mag(), Foam::min(), Foam::pow3(), and Foam::sqrt().

Referenced by polyMeshTetDecomposition::minQuality().

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◆ randomPoint()

Point randomPoint ( Random & rndGen ) const

inline

Return a random point in the tetrahedron from a.

uniform distribution

Definition at line 217 of file tetrahedronI.H.

References Foam::barycentric01(), and rndGen().

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◆ barycentricToPoint()

Point barycentricToPoint ( const barycentric & bary ) const

inline

Calculate the point from the given barycentric coordinates.

Definition at line 227 of file tetrahedronI.H.

Referenced by interpolation< Foam::Vector >::New().

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◆ pointToBarycentric() [1/2]

Foam::barycentric pointToBarycentric ( const point & pt ) const

inline

Calculate the barycentric coordinates from the given point.

Definition at line 237 of file tetrahedronI.H.

Referenced by cellPointWeight::findTetrahedron().

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◆ pointToBarycentric() [2/2]

Foam::scalar pointToBarycentric	(	const point &	pt,
		barycentric &	bary
	)		const

inline

Calculate the barycentric coordinates from the given point.

Returns the determinant.

Definition at line 249 of file tetrahedronI.H.

References Foam::cmptSum(), Foam::det(), Foam::inv(), Foam::mag(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

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◆ nearestPoint()

Foam::pointHit nearestPoint ( const point & p ) const

inline

Return nearest point to p on tetrahedron. Is p itself.

if inside.

Definition at line 292 of file tetrahedronI.H.

References PointHit< Point >::distance(), triangle< Point, PointRef >::nearestPoint(), p, and PointHit< Point >::rawPoint().

Referenced by cellPointWeight::findTetrahedron().

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◆ inside()

bool inside ( const point & pt ) const

inline

Return true if point is inside tetrahedron.

Definition at line 387 of file tetrahedronI.H.

References Foam::mag(), n, and Foam::Zero.

Referenced by polyMeshTetDecomposition::findTet().

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◆ bounds()

Foam::boundBox bounds

inline

Calculate the bounding box.

Definition at line 463 of file tetrahedronI.H.

References b, Foam::constant::universal::c, Foam::max(), and Foam::min().

Referenced by tetOverlapVolume::cellCellOverlapMinDecomp(), and tetOverlapVolume::cellCellOverlapVolumeMinDecomp().

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Friends And Related Function Documentation

◆ operator>>

Istream& operator>>	(	Istream &	,
		tetrahedron< Point, PointRef > &
	)

friend

◆ operator

Ostream& operator	(	Ostream &	,
		const tetrahedron< Point, PointRef > &
	)

friend

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

src/OpenFOAM/meshes/primitiveShapes/tetrahedron/tetrahedron.H
src/OpenFOAM/meshes/primitiveShapes/tetrahedron/tetrahedronI.H

Public Types

Public Member Functions

Friends

Detailed Description

template<class Point, class PointRef> class Foam::tetrahedron< Point, PointRef >

Member Enumeration Documentation

◆ anonymous enum

Constructor & Destructor Documentation

◆ tetrahedron() [1/3]

◆ tetrahedron() [2/3]

◆ tetrahedron() [3/3]

Member Function Documentation

◆ a()

◆ b()

◆ c()

◆ d()

◆ tri()

◆ Sa()

◆ Sb()

◆ Sc()

◆ Sd()

◆ centre()

◆ mag()

◆ circumSphere()

◆ quality()

◆ randomPoint()

◆ barycentricToPoint()

◆ pointToBarycentric() [1/2]

◆ pointToBarycentric() [2/2]

◆ nearestPoint()

◆ inside()

◆ bounds()

Friends And Related Function Documentation

◆ operator>>

◆ operator

template<class Point, class PointRef>
class Foam::tetrahedron< Point, PointRef >