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CGAL 6.0 - 2D and 3D Linear Geometry Kernel
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#include <CGAL/Triangle_3.h>
An object t of the class Triangle_3 is a triangle in the three-dimensional Euclidean space \( \E^3\).
As the triangle is not a full-dimensional object there is only a test whether a point lies on the triangle or not.
Kernel::Triangle_3 Creation | |
| Triangle_3 (const Point_3< Kernel > &p, const Point_3< Kernel > &q, const Point_3< Kernel > &r) | |
introduces a triangle t with vertices p, q and r. | |
Operations | |
| bool | operator== (const Triangle_3< Kernel > &t2) const |
Test for equality: two triangles t1 and t2 are equal, iff there exists a cyclic permutation of the vertices of t2, such that they are equal to the vertices of t1. | |
| bool | operator!= (const Triangle_3< Kernel > &t2) const |
| Test for inequality. | |
| Point_3< Kernel > | vertex (int i) const |
returns the i'th vertex modulo 3 of t. | |
| Point_3< Kernel > | operator[] (int i) const |
returns vertex(int i). | |
| Plane_3< Kernel > | supporting_plane () |
returns the supporting plane of t, with same orientation. | |
Predicates | |
| bool | is_degenerate () const |
t is degenerate if its vertices are collinear. | |
| bool | has_on (const Point_3< Kernel > &p) const |
A point is on t, if it is on a vertex, an edge or the face of t. | |
Miscellaneous | |
| Kernel::FT | squared_area () const |
returns a square of the area of t. | |
| Bbox_3 | bbox () const |
returns a bounding box containing t. | |
| Triangle_3< Kernel > | transform (const Aff_transformation_3< Kernel > &at) const |
returns the triangle obtained by applying at on the three vertices of t. | |
| CGAL::Triangle_3< Kernel >::Triangle_3 | ( | const Point_3< Kernel > & | p, |
| const Point_3< Kernel > & | q, | ||
| const Point_3< Kernel > & | r | ||
| ) |
introduces a triangle t with vertices p, q and r.
Exact_predicates_inexact_constructions_kernel.| Bbox_3 CGAL::Triangle_3< Kernel >::bbox | ( | ) | const |
returns a bounding box containing t.
Exact_predicates_inexact_constructions_kernel.| Point_3< Kernel > CGAL::Triangle_3< Kernel >::operator[] | ( | int | i | ) | const |
returns vertex(int i).
Exact_predicates_inexact_constructions_kernel.| Point_3< Kernel > CGAL::Triangle_3< Kernel >::vertex | ( | int | i | ) | const |
returns the i'th vertex modulo 3 of t.
Exact_predicates_inexact_constructions_kernel.