A triangle primitive used to calculate face areas and swept volumes. More...

Public Types
enum	proxType { NONE, POINT, EDGE }
	Return types for classify. More...

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

	triangle (const UList< Point > &, const FixedList< label, 3 > &indices)
	Construct from three points in the list of points. More...

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

const Point &	a () const
	Return first vertex. More...

const Point &	b () const
	Return second vertex. More...

const Point &	c () const
	Return third vertex. More...

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

vector	area () const
	Return vector area. More...

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

vector	normal () const
	Return unit normal. More...

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

scalar	circumRadius () const
	Return circum-radius. More...

scalar	quality () const
	Return quality: Ratio of triangle and circum-circle. More...

scalar	sweptVol (const triangle &t) const
	Return swept-volume. More...

tensor	inertia (PointRef refPt=vector::zero, scalar density=1.0) const
	Return the inertia tensor, with optional reference. More...

Point	randomPoint (Random &rndGen) const
	Return a random point on the triangle from a uniform. More...

Point	barycentricToPoint (const barycentric2D &bary) const
	Calculate the point from the given barycentric coordinates. More...

barycentric2D	pointToBarycentric (const point &pt) const
	Calculate the barycentric coordinates from the given point. More...

scalar	pointToBarycentric (const point &pt, barycentric2D &bary) const
	Calculate the barycentric coordinates from the given point. More...

pointHit	ray (const point &p, const vector &q, const intersection::algorithm=intersection::algorithm::fullRay, const intersection::direction dir=intersection::direction::vector) const
	Return point intersection with a ray. More...

pointHit	intersection (const point &p, const vector &q, const intersection::algorithm alg, const scalar tol=0.0) const
	Fast intersection with a ray. More...

pointHit	nearestPointClassify (const point &p, label &nearType, label &nearLabel) const
	Find the nearest point to p on the triangle and classify it: More...

pointHit	nearestPoint (const point &p) const
	Return nearest point to p on triangle. More...

bool	classify (const point &p, label &nearType, label &nearLabel) const
	Classify nearest point to p in triangle plane. More...

pointHit	nearestPoint (const linePointRef &edge, pointHit &edgePoint) const
	Return nearest point to line on triangle. Returns hit if. More...

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

Ostream &	operator (Ostream &, const triangle &)

Detailed Description

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

A triangle primitive used to calculate face areas and swept volumes.

Source files

Definition at line 57 of file triangle.H.

Member Enumeration Documentation

◆ proxType

enum proxType

Return types for classify.

Enumerator
NONE
POINT
EDGE

Definition at line 89 of file triangle.H.

Constructor & Destructor Documentation

◆ triangle() [1/3]

triangle	(	const Point &	a,
		const Point &	b,
		const Point &	c
	)

inline

Construct from three points.

Definition at line 34 of file triangleI.H.

◆ triangle() [2/3]

triangle	(	const UList< Point > &	points,
		const FixedList< label, 3 > &	indices
	)

inline

Construct from three points in the list of points.

The indices could be from triFace etc.

Definition at line 48 of file triangleI.H.

◆ triangle() [3/3]

triangle ( Istream & is )

inline

Construct from Istream.

Definition at line 61 of file triangleI.H.

Member Function Documentation

◆ a()

const Point & a ( ) const

inline

Return first vertex.

Definition at line 70 of file triangleI.H.

Referenced by triSurfaceTools::calcInterpolationWeights(), and OBJstream::write().

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◆ b()

const Point & b ( ) const

inline

Return second vertex.

Definition at line 76 of file triangleI.H.

Referenced by triSurfaceTools::calcInterpolationWeights(), and OBJstream::write().

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◆ c()

const Point & c ( ) const

inline

Return third vertex.

Definition at line 82 of file triangleI.H.

Referenced by triSurfaceTools::calcInterpolationWeights(), and OBJstream::write().

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◆ centre()

Point centre ( ) const

inline

Return centre (centroid)

Definition at line 89 of file triangleI.H.

Referenced by momentOfInertia::massPropertiesShell(), and polyMesh::pointInCell().

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◆ area()

Foam::vector area ( ) const

inline

Return vector area.

Definition at line 96 of file triangleI.H.

Referenced by polyMesh::pointInCell().

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◆ mag()

Foam::scalar mag ( ) const

inline

Return scalar magnitude.

Definition at line 103 of file triangleI.H.

References Foam::mag().

Referenced by FreeStream< CloudType >::inflow(), and momentOfInertia::massPropertiesShell().

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◆ normal()

Foam::vector normal ( ) const

inline

Return unit normal.

Definition at line 110 of file triangleI.H.

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

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

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◆ circumCentre()

Point circumCentre ( ) const

inline

Return circum-centre.

Definition at line 119 of file triangleI.H.

References Foam::constant::physicoChemical::c1, Foam::constant::physicoChemical::c2, and Foam::mag().

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◆ circumRadius()

Foam::scalar circumRadius ( ) const

inline

Return circum-radius.

Definition at line 146 of file triangleI.H.

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

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◆ quality()

Foam::scalar quality ( ) const

inline

Return quality: Ratio of triangle and circum-circle.

area, scaled so that an equilateral triangle has a quality of 1

Definition at line 170 of file triangleI.H.

References Foam::mag(), Foam::sqr(), Foam::sqrt(), and triangle< Point, PointRef >::sweptVol().

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◆ sweptVol()

Foam::scalar sweptVol ( const triangle< Point, PointRef > & t ) const

inline

Return swept-volume.

Definition at line 186 of file triangleI.H.

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

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

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◆ inertia()

Foam::tensor inertia	(	PointRef	refPt = `vector::zero`,
		scalar	density = `1.0`
	)		const

inline

Return the inertia tensor, with optional reference.

point and density specification

Definition at line 205 of file triangleI.H.

References Foam::I, Foam::mag(), and Foam::fvm::S().

Referenced by triFace::inertia(), and triangle< Point, PointRef >::sweptVol().

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◆ randomPoint()

Point randomPoint ( Random & rndGen ) const

inline

Return a random point on the triangle from a uniform.

distribution

Definition at line 241 of file triangleI.H.

References Foam::barycentric2D01(), and triangle< Point, PointRef >::barycentricToPoint().

Referenced by FreeStream< CloudType >::inflow(), and patchInjectionBase::setPositionAndCell().

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◆ barycentricToPoint()

Point barycentricToPoint ( const barycentric2D & bary ) const

inline

Calculate the point from the given barycentric coordinates.

Definition at line 249 of file triangleI.H.

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

Referenced by triangle< Point, PointRef >::randomPoint().

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◆ pointToBarycentric() [1/2]

Foam::barycentric2D pointToBarycentric ( const point & pt ) const

inline

Calculate the barycentric coordinates from the given point.

Definition at line 259 of file triangleI.H.

Referenced by triangle< Point, PointRef >::barycentricToPoint(), cellPointWeight::findTriangle(), and NamedEnum< compressibleField, 8 >::names().

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◆ pointToBarycentric() [2/2]

Foam::scalar pointToBarycentric	(	const point &	pt,
		barycentric2D &	bary
	)		const

inline

Calculate the barycentric coordinates from the given point.

Returns the determinant.

Definition at line 271 of file triangleI.H.

References Foam::mag(), and triangle< Point, PointRef >::ray().

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◆ ray()

Foam::pointHit ray	(	const point &	p,
		const vector &	q,
		const intersection::algorithm	alg = `intersection::algorithm::fullRay`,
		const intersection::direction	dir = `intersection::direction::vector`
	)		const

inline

Return point intersection with a ray.

For a hit, the distance is signed. Positive number represents the point in front of triangle. In case of miss pointHit is set to nearest point on triangle and its distance to the distance between the original point and the plane intersection point

Definition at line 310 of file triangleI.H.

References PointHit< Point >::hit(), triangle< Point, PointRef >::intersection(), Foam::mag(), Foam::min(), n, p, PointHit< Point >::rawPoint(), PointHit< Point >::setDistance(), PointHit< Point >::setHit(), PointHit< Point >::setMiss(), and PointHit< Point >::setPoint().

Referenced by triangle< Point, PointRef >::pointToBarycentric(), and triFace::ray().

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◆ intersection()

Foam::pointHit intersection	(	const point &	p,
		const vector &	q,
		const intersection::algorithm	alg,
		const scalar	tol = `0.0`
	)		const

inline

Fast intersection with a ray.

For a hit, the pointHit.distance() is the line parameter t : intersection=p+t*q. Only defined for algorithm::visible, algorithm::fullRay or algorithm::halfRay. tol increases the virtual size of the triangle by a relative factor.

Definition at line 431 of file triangleI.H.

References Foam::det(), triangle< Point, PointRef >::nearestPointClassify(), PointHit< Point >::setDistance(), PointHit< Point >::setHit(), PointHit< Point >::setPoint(), and Foam::Zero.

Referenced by mappedPatchBase::facePoint(), triFace::intersection(), and triangle< Point, PointRef >::ray().

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◆ nearestPointClassify()

Foam::pointHit nearestPointClassify	(	const point &	p,
		label &	nearType,
		label &	nearLabel
	)		const

Find the nearest point to p on the triangle and classify it:

+ near point (nearType=POINT, nearLabel=0, 1, 2) + near edge (nearType=EDGE, nearLabel=0, 1, 2) Note: edges are counted from starting vertex so e.g. edge 2 is from f[2] to f[0]

Definition at line 518 of file triangleI.H.

References Foam::cp(), Foam::mag(), and triangle< Point, PointRef >::nearestPoint().

Referenced by triSurfaceTools::calcInterpolationWeights(), triangle< Point, PointRef >::intersection(), triFace::nearestPointClassify(), and face::nearestPointClassify().

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