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

CGAL 4.8 - Linear Cell Complex

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Linear_cell_complex/linear_cell_complex_4.cpp
#include <CGAL/Linear_cell_complex.h>
#include <CGAL/Linear_cell_complex_constructors.h>
#include <iostream>
#include <vector>
typedef CGAL::Linear_cell_complex<4,5> LCC_4;
typedef LCC_4::Dart_handle Dart_handle;
typedef LCC_4::Point Point;
typedef LCC_4::Vector Vector;
typedef LCC_4::FT FT;
int main()
{
LCC_4 lcc;
// Create two tetrahedra.
FT p1[5]={ 0, 0, 0, 0, 0}; std::vector<FT> v1(p1,p1+5);
FT p2[5]={ 0, 2, 0, 0, 0}; std::vector<FT> v2(p2,p2+5);
FT p3[5]={ 0, 1, 2, 0, 0}; std::vector<FT> v3(p3,p3+5);
FT p4[5]={ 2, 1, 0, 0, 0}; std::vector<FT> v4(p4,p4+5);
FT p5[5]={-1, 0, 0, 0, 0}; std::vector<FT> v5(p5,p5+5);
FT p6[5]={-1, 2, 0, 0, 0}; std::vector<FT> v6(p6,p6+5);
FT p7[5]={-1, 1, 2, 0, 0}; std::vector<FT> v7(p7,p7+5);
FT p8[5]={-3, 1, 2, 0, 0}; std::vector<FT> v8(p8,p8+5);
Dart_handle d1 = lcc.make_tetrahedron(Point(5, v1.begin(), v1.end()),
Point(5, v2.begin(), v2.end()),
Point(5, v3.begin(), v3.end()),
Point(5, v4.begin(), v4.end()));
Dart_handle d2 = lcc.make_tetrahedron(Point(5, v5.begin(), v5.end()),
Point(5, v6.begin(), v6.end()),
Point(5, v7.begin(), v7.end()),
Point(5, v8.begin(), v8.end()));
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
lcc.sew<4>(d1,d2);
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// Add one vertex on the middle of the edge containing dart d1.
Dart_handle d3 = lcc.insert_barycenter_in_cell<1>(d1);
CGAL_assertion( lcc.is_valid() );
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// Add one edge to cut the face containing dart d3 in two.
Dart_handle d4 = CGAL::insert_cell_1_in_cell_2(lcc,d3,lcc.beta(d1, 0));
CGAL_assertion( lcc.is_valid() );
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
// We use removal operations to get back to the initial configuration.
CGAL::remove_cell<LCC_4,1>(lcc,d4);
CGAL_assertion( lcc.is_valid() );
CGAL::remove_cell<LCC_4,0>(lcc,d3);
CGAL_assertion( lcc.is_valid() );
lcc.unsew<4>(d1);
lcc.display_characteristics(std::cout);
std::cout<<", valid="<<lcc.is_valid()<<std::endl;
return EXIT_SUCCESS;
}