class Enlighten::Triangle2D

A triangle in 2D defined by three points.

Name	Description
Area()	Computes the unsigned area of the triangle.
AreaTimesTwo()	Computes the unsigned area of the triangle multiplied by two.
GetBarycentricCoordinates(const Vertex2D &)	Computes the barycentric coordinates for a point and this triangle.
GetBarycentricWeights(const Vertex2D &)	Computes the barycentric weights for a point and this triangle.
IsInsideExclusive(const Vertex2D &)	Tests if a point is truly inside the triangle, which excludes the edges of the triangle.
IsInsideExclusive(const Vertex2D &, const double &)	Tests if a point is inside the triangle incorporating a certain tolerance, which also excludes the edges defined by the triangle and this tolerance.
IsInsideInclusive(const Vertex2D &)	Tests if a point is inside the triangle including the edges of the triangle. This does not handle 0 area triangles.
NearestTriangleEdgeIntersection(Vertex2D &)	Computes the point on the triangle's edges that is closest to a given point.
SafeIsInsideInclusive(const Vertex2D &)	Tests if a point is inside the triangle including the edges of the triangle. Handles 0 area triangles.
Scale(double)	Componentwise scaling of the triangle.
Triangle2D()	Default constructor initialising the triangle to a point at (0,0).
Triangle2D(const Vertex2D &, const Vertex2D &, const Vertex2D &)	Constructor defining the three vertices of the triangle.
Validate()	Tests if the triangle is valid which means that all vertices are finite.

double Enlighten::Triangle2D::Area

public: double Area() const

Computes the unsigned area of the triangle.

public: double AreaTimesTwo() const

Computes the unsigned area of the triangle multiplied by two.

public: BaryCoords GetBarycentricCoordinates
(
const Vertex2D & p
) const

Computes the barycentric coordinates for a point and this triangle.

public: Geo::BaryWeights GetBarycentricWeights
(
const Vertex2D & p
) const

Computes the barycentric weights for a point and this triangle.

public: bool IsInsideExclusive
(
const Vertex2D & p
) const

Tests if a point is truly inside the triangle, which excludes the edges of the triangle.

public: bool IsInsideExclusive
(
const Vertex2D & p,
const double & tolerance
) const

Tests if a point is inside the triangle incorporating a certain tolerance, which also excludes the edges defined by the triangle and this tolerance.

A positive tolerance effeectively makes the triangle smaller whereas a negative tolerance makes it larger.

public: bool IsInsideInclusive
(
const Vertex2D & p
) const

Tests if a point is inside the triangle including the edges of the triangle. This does not handle 0 area triangles.

public: Vertex2D NearestTriangleEdgeIntersection
(
Vertex2D & p
) const

Computes the point on the triangle's edges that is closest to a given point.

public: bool SafeIsInsideInclusive
(
const Vertex2D & p
) const

Tests if a point is inside the triangle including the edges of the triangle. Handles 0 area triangles.

public: void Scale
(
double s
)

Componentwise scaling of the triangle.

public: Triangle2D()

Default constructor initialising the triangle to a point at (0,0).

public: Triangle2D
(
const Vertex2D & a,
const Vertex2D & b,
const Vertex2D & c
)

Constructor defining the three vertices of the triangle.

public: bool Validate() const

Tests if the triangle is valid which means that all vertices are finite.