A tetrahedron primitive. More...

Classes
class	dummyOp
	Dummy. More...

class	storeOp
	Store resulting tets. More...

class	sumVolOp
	Sum resulting volumes. More...

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

typedef FixedList< tetPoints, 200 >	tetIntersectionList
	Storage type for tets originating from intersecting tets. More...

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...

Point	circumCentre () const
	Return circum-centre. More...

scalar	circumRadius () const
	Return circum-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	randomPoint (cachedRandom &rndGen) const
	Return a random point in the tetrahedron from a. More...

scalar	barycentric (const point &pt, List< scalar > &bary) const
	Calculate the barycentric coordinates of the given. 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...

template<class AboveTetOp , class BelowTetOp >
void	sliceWithPlane (const plane &pl, AboveTetOp &aboveOp, BelowTetOp &belowOp) const
	Decompose tet into tets above and below plane. More...

void	tetOverlap (const tetrahedron< Point, PointRef > &tetB, tetIntersectionList &insideTets, label &nInside, tetIntersectionList &outsideTets, label &nOutside) const
	Decompose tet into tets inside and outside other tet. More...

pointHit	containmentSphere (const scalar tol) const
	Return (min)containment sphere, i.e. the smallest sphere with. More...

void	gradNiSquared (scalarField &buffer) const
	Fill buffer with shape function products. More...

void	gradNiDotGradNj (scalarField &buffer) const

void	gradNiGradNi (tensorField &buffer) const

void	gradNiGradNj (tensorField &buffer) const

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 62 of file tetrahedron.H.

Member Typedef Documentation

typedef FixedList<tetPoints, 200> tetIntersectionList

Storage type for tets originating from intersecting tets.

(can possibly be smaller than 200)

Definition at line 93 of file tetrahedron.H.

Member Enumeration Documentation

anonymous enum

Enumerator
nVertices
nEdges

Definition at line 164 of file tetrahedron.H.

Constructor & Destructor Documentation

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

inline

Construct from points.

Definition at line 35 of file tetrahedronI.H.

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

inline

Construct from four points in the list of points.

Definition at line 51 of file tetrahedronI.H.

tetrahedron ( Istream & is )

inline

Construct from Istream.

Definition at line 64 of file tetrahedronI.H.

Member Function Documentation

const Point & a ( ) const

inline

Return vertices.

Definition at line 73 of file tetrahedronI.H.

Referenced by particle< Type >::movingTetLambda().

Here is the caller graph for this function:

const Point & b ( ) const

inline

Definition at line 80 of file tetrahedronI.H.

Referenced by particle< Type >::movingTetLambda().

Here is the caller graph for this function:

const Point & c ( ) const

inline

Definition at line 87 of file tetrahedronI.H.

Referenced by particle< Type >::movingTetLambda().

Here is the caller graph for this function:

const Point & d ( ) const

inline

Definition at line 94 of file tetrahedronI.H.

References tetrahedron< Point, PointRef >::tri().

Referenced by particle< Type >::movingTetLambda(), and tetrahedron< Point, PointRef >::storeOp::operator()().

Here is the call graph for this function:

Here is the caller graph for this function:

Foam::triPointRef tri ( const label facei ) const

inline

Return i-th face.

Definition at line 102 of file tetrahedronI.H.

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

Referenced by tetrahedron< Point, PointRef >::d().

Here is the call graph for this function:

Here is the caller graph for this function:

Foam::vector Sa ( ) const

inline

Return face normal.

Definition at line 136 of file tetrahedronI.H.

Referenced by particle< Type >::trackToFace().

Here is the caller graph for this function:

Foam::vector Sb ( ) const

inline

Definition at line 143 of file tetrahedronI.H.

Referenced by particle< Type >::trackToFace().

Here is the caller graph for this function:

Foam::vector Sc ( ) const

inline

Definition at line 150 of file tetrahedronI.H.

Referenced by particle< Type >::trackToFace().

Here is the caller graph for this function:

Foam::vector Sd ( ) const

inline

Definition at line 157 of file tetrahedronI.H.

Referenced by particle< Type >::trackToFace().

Here is the caller graph for this function:

Point centre ( ) const

inline

Return centre (centroid)

Definition at line 164 of file tetrahedronI.H.

Referenced by particle< Type >::findTris(), particle< Type >::hitWallFaces(), and particle< Type >::trackToFace().

Here is the caller graph for this function:

Foam::scalar mag ( ) const

inline

Return volume.

Definition at line 171 of file tetrahedronI.H.

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

Here is the caller graph for this function:

Point circumCentre ( ) const

inline

Return circum-centre.

Definition at line 178 of file tetrahedronI.H.

References Foam::constant::physicoChemical::b, Foam::constant::universal::c, lambda(), Foam::mag(), Foam::magSqr(), and Foam::constant::physicoChemical::mu.

Here is the call graph for this function:

Foam::scalar circumRadius ( ) const

inline

Return circum-radius.

Definition at line 205 of file tetrahedronI.H.

References Foam::constant::physicoChemical::b, Foam::constant::universal::c, lambda(), Foam::mag(), Foam::magSqr(), and Foam::constant::physicoChemical::mu.

Here is the call graph for this function:

Foam::scalar quality ( ) const

inline

Return quality: Ratio of tetrahedron and circum-sphere.

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

Definition at line 231 of file tetrahedronI.H.

References Foam::mag(), Foam::min(), Foam::pow3(), tetrahedron< Point, PointRef >::randomPoint(), and Foam::sqrt().

Referenced by polyMeshTetDecomposition::findBasePoint(), and polyMeshTetDecomposition::findSharedBasePoint().

Here is the call graph for this function:

Here is the caller graph for this function:

Point randomPoint ( Random & rndGen ) const

inline

Return a random point in the tetrahedron from a.

uniform distribution

Definition at line 245 of file tetrahedronI.H.

References s(), and Random::scalar01().

Referenced by tetrahedron< Point, PointRef >::quality().

Here is the call graph for this function:

Here is the caller graph for this function:

Point randomPoint ( cachedRandom & rndGen ) const

inline

Return a random point in the tetrahedron from a.

uniform distribution

Definition at line 281 of file tetrahedronI.H.

References tetrahedron< Point, PointRef >::barycentric(), s(), and cachedRandom::sample01().

Here is the call graph for this function:

Foam::scalar barycentric	(	const point &	pt,
		List< scalar > &	bary
	)		const

inline

Calculate the barycentric coordinates of the given.

point, in the same order as a, b, c, d. Returns the determinant of the solution.

Definition at line 317 of file tetrahedronI.H.

References Foam::det(), Foam::inv(), Foam::mag(), tetrahedron< Point, PointRef >::nearestPoint(), List< T >::setSize(), Vector< Cmpt >::x(), Vector< Cmpt >::y(), and Vector< Cmpt >::z().

Referenced by cellPointWeight::findTetrahedron(), interpolationCellPoint< Type >::interpolate(), tetrahedron< Point, PointRef >::randomPoint(), and Dual< Type >::~Dual().

Here is the call graph for this function:

Here is the caller graph for this function:

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

inline

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

if inside.

Definition at line 362 of file tetrahedronI.H.

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

Referenced by tetrahedron< Point, PointRef >::barycentric(), and cellPointWeight::findTetrahedron().

Here is the call graph for this function:

Here is the caller graph for this function:

bool inside ( const point & pt ) const

inline

Return true if point is inside tetrahedron.

Definition at line 456 of file tetrahedronI.H.

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

Referenced by polyMeshTetDecomposition::findTet().

Here is the call graph for this function:

Here is the caller graph for this function:

void sliceWithPlane	(	const plane &	pl,
		AboveTetOp &	aboveOp,
		BelowTetOp &	belowOp
	)		const

inline

Decompose tet into tets above and below plane.

Definition at line 985 of file tetrahedronI.H.

References token::BEGIN_LIST, token::END_LIST, Foam::nl, Istream::readBegin(), and token::SPACE.

Referenced by tetrahedron< Point, PointRef >::storeOp::operator()(), and tetOverlapVolume::tetOverlapVolume().

Here is the call graph for this function:

Here is the caller graph for this function:

void tetOverlap	(	const tetrahedron< Point, PointRef > &	tetB,
		tetIntersectionList &	insideTets,
		label &	nInside,
		tetIntersectionList &	outsideTets,
		label &	nOutside
	)		const

inline

Decompose tet into tets inside and outside other tet.

Definition at line 34 of file tetrahedron.C.

References tetrahedron< Point, PointRef >::containmentSphere().

Here is the call graph for this function:

Foam::pointHit containmentSphere ( const scalar tol ) const

Return (min)containment sphere, i.e. the smallest sphere with.

all points inside. Returns pointHit with:

hit : if sphere is equal to circumsphere (biggest sphere)
point : centre of sphere
distance : radius of sphere
eligiblemiss: false Tol (small compared to 1, e.g. 1e-9) is used to determine whether point is inside: mag(pt - ctr) < (1+tol)*radius.

Definition at line 124 of file tetrahedron.C.

References tetrahedron< Point, PointRef >::gradNiSquared(), Foam::magSqr(), PointHit< Point >::rawPoint(), PointHit< Point >::setDistance(), PointHit< Point >::setHit(), PointHit< Point >::setMiss(), PointHit< Point >::setPoint(), and Foam::sqrt().

Referenced by tetrahedron< Point, PointRef >::tetOverlap().

Here is the call graph for this function: