CGAL 5.6.3 - 3D Periodic Triangulations

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Periodic_3_triangulation_3/geometric_access.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_3.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_3_Delaunay_triangulation_traits_3<K> Gt;
typedef CGAL::Periodic_3_Delaunay_triangulation_3<Gt> P3DT3;
typedef Gt::Point_3 Point;
typedef Gt::Triangle_3 Triangle;
typedef P3DT3::Periodic_triangle Periodic_triangle;
typedef P3DT3::Periodic_triangle_iterator Periodic_triangle_iterator;
typedef P3DT3::Iterator_type Iterator_type;
int main(int, char**) {
P3DT3 T;
T.insert(Point(0,0,0));
T.insert(Point(0,0,0.5));
T.insert(Point(0,0.5,0.5));
T.insert(Point(0.5,0,0.5));
Periodic_triangle pt;
Triangle t_bd;
// Extracting the triangles that have a non-empty intersection with
// the original domain of the 1-sheeted covering space
for (Periodic_triangle_iterator ptit = T.periodic_triangles_begin(P3DT3::UNIQUE_COVER_DOMAIN);
ptit != T.periodic_triangles_end(P3DT3::UNIQUE_COVER_DOMAIN); ++ptit) {
pt = *ptit;
if (! (pt[0].second.is_null() && pt[1].second.is_null() && pt[2].second.is_null()) ) {
// Convert the current Periodic_triangle to a Triangle if it is
// not strictly contained inside the original domain.
// Note that this requires EXACT constructions to be exact!
t_bd = T.construct_triangle(pt);
}
}
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Periodic_3_Delaunay_triangulation_3
The class Periodic_3_Delaunay_triangulation_3 represents a Delaunay triangulation in three-dimensiona...
Definition: Periodic_3_Delaunay_triangulation_3.h:26
CGAL::Periodic_3_Delaunay_triangulation_3::insert
Vertex_handle insert(const Point &p, Cell_handle start=Cell_handle())
Inserts point p in the triangulation and returns the corresponding vertex.
CGAL::Periodic_3_Delaunay_triangulation_traits_3
The class Periodic_3_Delaunay_triangulation_traits_3 is designed as a default traits class for the cl...
Definition: Periodic_3_Delaunay_triangulation_traits_3.h:23