triangle< Point, PointRef > Class Template Reference

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

Istreamoperator>> (Istream &, triangle &)
 
Ostreamoperator (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::normal(), Foam::triIntersect::srcInTgt(), and Foam::triIntersect::tgtInSrc().

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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()

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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◆ nearestPoint() [1/2]

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

Return nearest point to p on triangle.

Definition at line 667 of file triangleI.H.

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

Referenced by triangle< Point, PointRef >::classify(), cellPointWeight::findTriangle(), triFace::nearestPoint(), and triangle< Point, PointRef >::nearestPointClassify().

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◆ classify()

bool classify ( const point p,
label nearType,
label nearLabel 
) const
inline

Classify nearest point to p in triangle plane.

w.r.t. triangle edges and points. Returns inside (true)/outside (false).

Definition at line 681 of file triangleI.H.

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

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

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◆ nearestPoint() [2/2]

Foam::pointHit nearestPoint ( const linePointRef edge,
pointHit edgePoint 
) const
inline

Friends And Related Function Documentation

◆ operator>>

Istream& operator>> ( Istream ,
triangle< Point, PointRef > &   
)
friend

◆ operator

Ostream& operator ( Ostream ,
const triangle< Point, PointRef > &   
)
friend

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