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

CGAL 4.8 - 2D Periodic Triangulations

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Periodic_2_triangulation_2/p2t2_simple_example.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>
#include <fstream>
#include <cassert>
#include <list>
#include <vector>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_2_triangulation_traits_2<K> GT;
typedef CGAL::Periodic_2_Delaunay_triangulation_2<GT> PDT;
typedef PDT::Face_handle Face_handle;
typedef PDT::Vertex_handle Vertex_handle;
typedef PDT::Locate_type Locate_type;
typedef PDT::Point Point;
typedef PDT::Iso_rectangle Iso_rectangle;
int main()
{
Iso_rectangle domain(-1, -1, 2, 2); // The cube for the periodic domain
// construction from a list of points :
std::list<Point> L;
L.push_front(Point(0, 0));
L.push_front(Point(1, 0));
L.push_front(Point(0, 1));
PDT T(L.begin(), L.end(), domain); // Put the domain with the constructor
size_t n = T.number_of_vertices();
// insertion from a vector :
std::vector<Point> V(3);
V[0] = Point(0, 0);
V[1] = Point(1, 1);
V[2] = Point(-1, -1);
n = n + T.insert(V.begin(), V.end());
assert( n == 5 ); // 6 points have been inserted, one is a duplicate
assert( T.is_valid() ); // checking validity of T
Locate_type lt;
int li;
Point p(0, 0);
Face_handle fh = T.locate(p, lt, li);
// p is the vertex of c of index li :
assert( lt == PDT::VERTEX );
assert( fh->vertex(li)->point() == p );
Vertex_handle v = fh->vertex( (li + 1) % 3 );
// v is another vertex of c
Face_handle nb = fh->neighbor(li);
// nb = neighbor of fh opposite to the vertex associated with p
// nb must have vertex v :
int nli;
assert( nb->has_vertex( v, nli ) );
// nli is the index of v in nc
std::ofstream oFileT("output.tri", std::ios::out);
// writing file output;
oFileT << T;
PDT T1;
std::ifstream iFileT("output.tri", std::ios::in);
// reading file output;
iFileT >> T1;
assert( T1.is_valid() );
assert( T1.number_of_vertices() == T.number_of_vertices() );
assert( T1.number_of_faces() == T.number_of_faces() );
return 0;
}