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

CGAL 4.8 - 2D Periodic Triangulations

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Periodic_2_triangulation_2/p2t2_adding_handles.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Periodic_2_triangulation_filtered_traits_2.h>
#include <CGAL/Periodic_2_Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_vertex_base_2.h>
template < class GT, class Vb >
class My_vertex_base : public Vb
{
public:
typedef typename Vb::Vertex_handle Vertex_handle;
typedef typename Vb::Face_handle Face_handle;
typedef typename Vb::Point Point;
template < typename Tds2 >
struct Rebind_TDS
{
typedef typename Vb::template Rebind_TDS<Tds2>::Other Vb2;
typedef My_vertex_base<GT, Vb2> Other;
};
My_vertex_base() {}
My_vertex_base(const Point& p)
: Vb(p) {}
My_vertex_base(const Point& p, Face_handle c)
: Vb(p, c) {}
Vertex_handle vh;
Face_handle fh;
};
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_2_triangulation_filtered_traits_2<K> GT;
typedef CGAL::Periodic_2_triangulation_vertex_base_2<GT> VbDS;
typedef My_vertex_base<GT, VbDS> Vb;
typedef CGAL::Periodic_2_triangulation_face_base_2<GT> Fb;
typedef CGAL::Triangulation_data_structure_2<Vb, Fb> Tds;
typedef CGAL::Periodic_2_Delaunay_triangulation_2<GT, Tds> PDT;
typedef PDT::Vertex_handle Vertex_handle;
typedef PDT::Point Point;
int main()
{
PDT T;
Vertex_handle v0 = T.insert(Point(0, 0));
Vertex_handle v1 = T.insert(Point(.1, 0));
Vertex_handle v2 = T.insert(Point(0, .1));
Vertex_handle v3 = T.insert(Point(0, 0.2));
Vertex_handle v4 = T.insert(Point(.2, .2));
Vertex_handle v5 = T.insert(Point(.9, 0));
// Now we can link the vertices as we like.
v0->vh = v1;
v1->vh = v2;
v2->vh = v3;
v3->vh = v4;
v4->vh = v5;
v5->vh = v0;
return 0;
}