A 2D triangle class. More...

#include <Triangle2D.h>

Public Member Functions
	Triangle2D (const Vector2 &a, const Vector2 &b, const Vector2 &c)

void	set (const Vector2 &a, const Vector2 &b, const Vector2 &c)

void	setTransformed (const Triangle2D &t, const RigidTransform2D &xform)

void	setTransformed (const Triangle2D &t, const Matrix3 &xform)

Real	orientation () const

Real	area () const

void	getAABB (AABB2D &) const

Vector3	barycentricCoords (const Point2D &x) const

Point2D	barycentricCoordsToPoint (const Vector3 &bc) const

Vector2	planeCoords (const Point2D &x) const

Point2D	planeCoordsToPoint (const Vector2 &pc) const

Vector2	closestPointCoords (const Point2D &in) const
	returns the plane-coords of the point

Point2D	closestPoint (const Point2D &in) const

bool	contains (const Point2D &x) const

bool	intersects (const Plane2D &) const

bool	intersects (const Plane2D &, Segment2D &S) const

bool	intersects (const Segment2D &s) const

bool	intersects (const Triangle2D &t) const

bool	Read (File &f)

bool	Write (File &f) const

Static Public Member Functions
static Real	orientation (const Point2D &a, const Point2D &b, const Point2D &c)

static Real	area (const Point2D &a, const Point2D &b, const Point2D &c)

static Vector3	barycentricCoords (const Vector2 &x, const Point2D &a, const Point2D &b, const Point2D &c)

static Point2D	barycentricCoordsToPoint (const Vector3 &bc, const Point2D &a, const Point2D &b, const Point2D &c)

static bool	containsBarycentricCoords (const Vector3 &bc)

static Point2D	planeCoordsToPoint (const Vector2 &pc, const Point2D &a, const Point2D &b, const Point2D &c)

static bool	containsPlaneCoords (const Vector2 &pc)

Public Attributes
Point2D	a

Point2D	b

Point2D	c

Detailed Description

A 2D triangle class.

Represented by its vertices a,b,c.

Barycentric coordinates (u,v,w) are such that 0 <= u,v,w <= 1 and u+v+w = 1. They parameterize the triangle as x = u*a+v*b+w*c.

"Plane" coordinates (p,q) are such that 0 <= p,q and p+q<= 1. They parameterize the triangle as x = a + p*(b-a) + q*(c-a). Barycentric coordinates (u,v,w) = (1-p-q,p,q).

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

Triangle2D.h
Triangle2D.cpp

Public Member Functions

Static Public Member Functions

Public Attributes

Detailed Description