Class Triangle
Summary
Specifies a triangle through three points in 3D space.
Description
This class stores three member vertices a, b and c to specify the triangle.
Specifies a triangle through three points in 3D space.
This class stores three member vertices a, b and c to specify the triangle.
 Triangle | Specifies a triangle through three points in 3D space. |
 a | The first triangle endpoint. |
| b | The second triangle endpoint. |
| c | The third triangle endpoint. |
 ctor (+1 overload) | The default constructor does not initialize any members of this class. |
| Translate(offset) | Translates this Triangle in world space. |
| Transform(transform) (+3 overloads) | Applies a transformation to this Triangle, in-place. |
| BarycentricUVW(point)[const] | Expresses the given point in barycentric (u,v,w) coordinates. |
| BarycentricUV(point)[const] | Expresses the given point in barycentric (u,v) coordinates. |
| Point(uvw)[const] (+3 overloads) | Returns the point at the given barycentric coordinates. |
| Centroid()[const] | Computes the center of mass of this triangle. |
| CenterPoint()[const] | Identical to CenterPoint(), but provided to enable common signature with Triangle, AABB and OBB to allow them to be used in template classes. |
| Area()[const] | Computes the surface area of this triangle. |
| Perimeter()[const] | Computes the total edge length of this triangle. |
| VertexArrayPtr() (+1 overload) | Returns a pointer to the vertices of this triangle. The array contains three elements. |
| Vertex(i)[const] | Returns a vertex of this triangle. |
| CornerPoint(i)[const] | |
| Edge(i)[const] | Returns an edge of this triangle. |
| PlaneCCW()[const] | Returns the counterclockwise-oriented plane this triangle lies on. |
| PlaneCW()[const] | Returns the clockwise-oriented plane this triangle lies on. |
| NormalCCW()[const] | Returns the normalized triangle normal pointing to the counter-clockwise direction of this triangle. |
| NormalCW()[const] | Returns the normalized triangle normal pointing to the clockwise direction of this triangle. |
| UnnormalizedNormalCCW()[const] | Computes an unnormalized counter-clockwise oriented triangle normal vector. |
| UnnormalizedNormalCW()[const] | Computes an unnormalized clockwise-oriented triangle normal vector. |
| AnyPointFast()[const] | Quickly returns an arbitrary point inside this Triangle. Used in GJK intersection test. |
| ExtremePoint(direction)[const] (+1 overload) | Computes an extreme point of this Triangle in the given direction. |
| ToPolygon()[const] | Returns a Polygon representation of this Triangle. |
| ToPolyhedron()[const] | Returns a Polyhedron representation of this Triangle. |
| BoundingAABB()[const] | Returns the tight AABB that encloses this Triangle. |
| IsFinite()[const] | Tests if this Triangle is finite. |
| IsDegenerate(epsilon)[const] | Returns true if this triangle is degenerate. |
| Contains(...)[const] (+2 overloads) | Tests if the given object is fully contained inside this triangle. |
| Distance(point)[const] (+2 overloads) | Computes the distance between this triangle and the given object. |
| DistanceSq(point)[const] | |
| Intersects(...)[const] (+12 overloads) | Tests whether this triangle and the given object intersect. |
| ProjectToAxis(axis,dMin,dMax)[const] | Projects this Triangle onto the given axis. |
| UniqueFaceNormals(out)[const] | |
| UniqueEdgeDirections(out)[const] | |
| ClosestPoint(point)[const] (+3 overloads) | Computes the closest point on this triangle to the given object. |
| ClosestPointToTriangleEdge(...)[const] (+1 overload) | Computes the closest point on the edge of this triangle to the given object. |
| RandomPointInside(rng)[const] | Generates a random point inside this Triangle. |
| RandomVertex(rng)[const] | Chooses a corner vertex of this Triangle at random. |
| RandomPointOnEdge(rng)[const] | Generates a random point on the edge of this Triangle. |
| ToString()[const] | Returns a human-readable representation of this Line. Most useful for debugging purposes. |
| SerializeToString()[const] | |
| SerializeToCodeString()[const] | Returns a string of C++ code that can be used to construct this object. Useful for generating test cases from badly behaving objects. |
| Equals(rhs,epsilon)[const] | |
| BitEquals(other)[const] | Compares whether this Triangle and the given Triangle are identical bit-by-bit in the underlying representation. |
| NumFaces()[static] | |
| NumEdges()[static] | |
| NumVertices()[static] | |
| BarycentricInsideTriangle(uvw)[static] | Tests if the given barycentric UVW coordinates lie inside a triangle. |
| Area2D(p1,p2,p3)[static] | Computes the surface area of the given 2D triangle. |
| SignedArea(point,a,b,c)[static] | Relates the barycentric coordinate of the given point to the surface area of triangle abc. |
| IsDegenerate(p1,p2,p3,epsilon)[static] | Returns true if the triangle defined by the three given points is degenerate. |
| IntersectLineTri(...)[static] | A helper function used in line-triangle tests. |
| FromString(str,outEndStr)[static] (+1 overload) |