class Enlighten::Triangle2D
A triangle in 2D defined by three points.
Variables
Functions
| 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.
double Enlighten::Triangle2D::AreaTimesTwo
public: double AreaTimesTwo() const
Computes the unsigned area of the triangle multiplied by two.
BaryCoords Enlighten::Triangle2D::GetBarycentricCoordinates
public: BaryCoords GetBarycentricCoordinates
(
const Vertex2D & p
) const
Computes the barycentric coordinates for a point and this triangle.
Geo::BaryWeights Enlighten::Triangle2D::GetBarycentricWeights
public: Geo::BaryWeights GetBarycentricWeights
(
const Vertex2D & p
) const
Computes the barycentric weights for a point and this triangle.
bool Enlighten::Triangle2D::IsInsideExclusive
public: bool IsInsideExclusive
(
const Vertex2D & p
) const
Tests if a point is truly inside the triangle, which excludes the edges of the triangle.
bool Enlighten::Triangle2D::IsInsideExclusive
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.
bool Enlighten::Triangle2D::IsInsideInclusive
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.
Vertex2D Enlighten::Triangle2D::NearestTriangleEdgeIntersection
public: Vertex2D NearestTriangleEdgeIntersection
(
Vertex2D & p
) const
Computes the point on the triangle's edges that is closest to a given point.
bool Enlighten::Triangle2D::SafeIsInsideInclusive
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.
void Enlighten::Triangle2D::Scale
public: void Scale
(
double s
)
Componentwise scaling of the triangle.
Enlighten::Triangle2D::Triangle2D
public: Triangle2D()
Default constructor initialising the triangle to a point at (0,0).
Enlighten::Triangle2D::Triangle2D
public: Triangle2D
(
const Vertex2D & a,
const Vertex2D & b,
const Vertex2D & c
)
Constructor defining the three vertices of the triangle.
bool Enlighten::Triangle2D::Validate
public: bool Validate() const
Tests if the triangle is valid which means that all vertices are finite.