\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.8 - 2D Periodic Triangulations

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Periodic_2_triangulation_2/p2t2_geometric_access.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Periodic_2_triangulation_traits_2.h>
#include <CGAL/Periodic_2_Delaunay_triangulation_2.h>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_2_triangulation_traits_2<K> PK;
typedef CGAL::Periodic_2_Delaunay_triangulation_2<PK> P2DT2;
typedef PK::Point_2 Point;
typedef PK::Triangle_2 Triangle;
typedef P2DT2::Periodic_triangle Periodic_triangle;
typedef P2DT2::Periodic_triangle_iterator Periodic_triangle_iterator;
typedef P2DT2::Iterator_type Iterator_type;
int main()
{
P2DT2 T;
T.insert(Point(0, 0));
T.insert(Point(0, 0.5));
T.insert(Point(0.5, 0));
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(P2DT2::UNIQUE_COVER_DOMAIN);
ptit != T.periodic_triangles_end(P2DT2::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.triangle(pt);
}
}
}