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

CGAL 4.8 - Linear Cell Complex

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Linear_cell_complex/linear_cell_complex_3.cpp
#include <CGAL/Linear_cell_complex.h>
#include <CGAL/Linear_cell_complex_operations.h>
#include <iostream>
#include <algorithm>
typedef CGAL::Linear_cell_complex<3> LCC_3;
typedef LCC_3::Dart_handle Dart_handle;
typedef LCC_3::Point Point;
typedef LCC_3::FT FT;
// Functor used to display all the vertices of a given volume.
template<class LCC>
struct Display_vol_vertices : public std::unary_function<LCC, void>
{
Display_vol_vertices(const LCC& alcc) :
lcc(alcc),
nb_volume(0)
{}
void operator() (typename LCC::Dart& d)
{
std::cout<<"Volume "<<++nb_volume<<" : ";
for (typename LCC::template One_dart_per_incident_cell_range<0,3>::
const_iterator it=lcc.template one_dart_per_incident_cell<0,3>
(lcc.dart_handle(d)).begin(),
itend=lcc.template one_dart_per_incident_cell<0,3>
(lcc.dart_handle(d)).end();
it!=itend; ++it)
{
std::cout << lcc.point(it) << "; ";
}
std::cout<<std::endl;
}
private:
const LCC& lcc;
unsigned int nb_volume;
};
int main()
{
LCC_3 lcc;
// Create two tetrahedra.
Dart_handle d1 = lcc.make_tetrahedron(Point(-1, 0, 0), Point(0, 2, 0),
Point(1, 0, 0), Point(1, 1, 2));
Dart_handle d2 = lcc.make_tetrahedron(Point(0, 2, -1),
Point(-1, 0, -1),
Point(1, 0, -1),
Point(1, 1, -3));
// Display all the vertices of the lcc by iterating on the
// Vertex_attribute container.
CGAL::set_ascii_mode(std::cout);
std::cout<<"Vertices: ";
for (LCC_3::Vertex_attribute_const_range::iterator
v=lcc.vertex_attributes().begin(),
vend=lcc.vertex_attributes().end();
v!=vend; ++v)
std::cout << lcc.point_of_vertex_attribute(v) << "; ";
std::cout<<std::endl;
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// 3-Sew the 2 tetrahedra along one facet
lcc.sew<3>(d1, d2);
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// Translate the second tetrahedra by a given vector
LCC_3::Vector v(3,1,1);
for (LCC_3::One_dart_per_incident_cell_range<0,3>::iterator
it=lcc.one_dart_per_incident_cell<0,3>(d2).begin(),
itend=lcc.one_dart_per_incident_cell<0,3>(d2).end();
it!=itend; ++it)
{
lcc.point(it)=LCC_3::Traits::Construct_translated_point_3()
(lcc.point(it),v);
}
// Display the vertices of each volume by iterating on darts.
std::for_each(lcc.one_dart_per_cell<3>().begin(),
lcc.one_dart_per_cell<3>().end(),
Display_vol_vertices<LCC_3>(lcc));
// We display the lcc characteristics.
std::cout<<"LCC characteristics: ";
lcc.display_characteristics(std::cout) << ", valid=" << lcc.is_valid()
<< std::endl;
return EXIT_SUCCESS;
}