CGAL 5.6.3 - 2D Conforming Triangulations and Meshes

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Mesh_2/conforming.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Constrained_Delaunay_triangulation_2.h>
#include <CGAL/Triangulation_conformer_2.h>
#include <iostream>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Constrained_Delaunay_triangulation_2<K> CDT;
typedef CDT::Point Point;
typedef CDT::Vertex_handle Vertex_handle;
int main()
{
CDT cdt;
// construct a constrained triangulation
Vertex_handle
va = cdt.insert(Point( 5., 5.)),
vb = cdt.insert(Point(-5., 5.)),
vc = cdt.insert(Point( 4., 3.)),
vd = cdt.insert(Point( 5.,-5.)),
ve = cdt.insert(Point( 6., 6.)),
vf = cdt.insert(Point(-6., 6.)),
vg = cdt.insert(Point(-6.,-6.)),
vh = cdt.insert(Point( 6.,-6.));
cdt.insert_constraint(va,vb);
cdt.insert_constraint(vb,vc);
cdt.insert_constraint(vc,vd);
cdt.insert_constraint(vd,va);
cdt.insert_constraint(ve,vf);
cdt.insert_constraint(vf,vg);
cdt.insert_constraint(vg,vh);
cdt.insert_constraint(vh,ve);
std::cout << "Number of vertices before: "
<< cdt.number_of_vertices() << std::endl;
// make it conforming Delaunay
CGAL::make_conforming_Delaunay_2(cdt);
std::cout << "Number of vertices after make_conforming_Delaunay_2: "
<< cdt.number_of_vertices() << std::endl;
// then make it conforming Gabriel
CGAL::make_conforming_Gabriel_2(cdt);
std::cout << "Number of vertices after make_conforming_Gabriel_2: "
<< cdt.number_of_vertices() << std::endl;
}
CGAL::Constrained_Delaunay_triangulation_2
CGAL::Constrained_Delaunay_triangulation_2::insert
Vertex_handle insert(Point p, Face_handle f=Face_handle())
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::make_conforming_Gabriel_2
void make_conforming_Gabriel_2(CDT &t)
Refines the constrained Delaunay triangulation t into a conforming Gabriel triangulation.
CGAL::make_conforming_Delaunay_2
void make_conforming_Delaunay_2(CDT &t)
Refines the constrained Delaunay triangulation t into a conforming Delaunay triangulation.