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

CGAL 4.8 - 3D Triangulation Data Structure

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TDS_3/tds.cpp
#include <CGAL/Triangulation_data_structure_3.h>
#include <iostream>
#include <fstream>
#include <cassert>
#include <vector>
typedef CGAL::Triangulation_data_structure_3<> Tds;
typedef Tds::size_type size_type;
typedef Tds::Cell_handle Cell_handle;
typedef Tds::Vertex_handle Vertex_handle;
int main()
{
Tds T;
assert( T.number_of_vertices() == 0 );
assert( T.dimension() == -2 );
assert( T.is_valid() );
std::vector<Vertex_handle> PV(7);
PV[0] = T.insert_increase_dimension();
assert( T.number_of_vertices() == 1 );
assert( T.dimension() == -1 );
assert( T.is_valid() );
// each of the following insertions of vertices increases the dimension
for ( int i=1; i<5; i++ ) {
PV[i] = T.insert_increase_dimension(PV[0]);
assert( T.number_of_vertices() == (size_type) i+1 );
assert( T.dimension() == i-1 );
assert( T.is_valid() );
}
assert( T.number_of_cells() == 5 );
// we now have a simplex in dimension 4
// cell incident to PV[0]
Cell_handle c = PV[0]->cell();
int ind;
bool check = c->has_vertex( PV[0], ind );
assert( check );
// PV[0] is the vertex of index ind in c
// insertion of a new vertex in the facet opposite to PV[0]
PV[5] = T.insert_in_facet(c, ind);
assert( T.number_of_vertices() == 6 );
assert( T.dimension() == 3 );
assert( T.is_valid() );
// insertion of a new vertex in c
PV[6] = T.insert_in_cell(c);
assert( T.number_of_vertices() == 7 );
assert( T.dimension() == 3 );
assert( T.is_valid() );
std::ofstream oFileT("output_tds",std::ios::out);
// writing file output_tds;
oFileT << T;
return 0;
}