CGAL 5.6.3 - 3D Periodic Triangulations

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Periodic_3_triangulation_3/simple_example.cpp
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_3.h>
#include <CGAL/periodic_3_triangulation_3_io.h>
#include <iostream>
#include <fstream>
#include <cassert>
#include <list>
#include <vector>
typedef CGAL::Exact_predicates_inexact_constructions_kernel K;
typedef CGAL::Periodic_3_Delaunay_triangulation_traits_3<K> Gt;
typedef CGAL::Periodic_3_Delaunay_triangulation_3<Gt> P3DT3;
typedef P3DT3::Point Point;
typedef P3DT3::Iso_cuboid Iso_cuboid;
typedef P3DT3::Vertex_handle Vertex_handle;
typedef P3DT3::Cell_handle Cell_handle;
typedef P3DT3::Locate_type Locate_type;
int main(int, char**)
{
Iso_cuboid domain(-1,-1,-1,2,2,2); // the fundamental domain
// construction from a list of points :
std::list<Point> L;
L.push_front(Point(0,0,0));
L.push_front(Point(1,0,0));
L.push_front(Point(0,1,0));
P3DT3 T(L.begin(), L.end(), domain); // put the domain with the constructor
P3DT3::size_type n = T.number_of_vertices();
// insertion from a vector :
std::vector<Point> V(3);
V[0] = Point(0,0,1);
V[1] = Point(1,1,1);
V[2] = Point(-1,-1,-1);
n = n + T.insert(V.begin(), V.end());
assert( n == 6 ); // 6 points have been inserted
assert( T.is_valid() ); // checking validity of T
Locate_type lt;
int li, lj;
Point p(0,0,0);
Cell_handle c = T.locate(p, lt, li, lj);
// p is the vertex of c of index li :
assert( lt == P3DT3::VERTEX );
assert( c->vertex(li)->point() == p );
Vertex_handle v = c->vertex( (li+1)&3 );
// v is another vertex of c
Cell_handle nc = c->neighbor(li);
// nc = neighbor of c opposite to the vertex associated with p
// nc must have vertex v :
int nli;
assert( nc->has_vertex( v, nli ) );
// nli is the index of v in nc
// writing file output
std::ofstream oFileT("output.tri", std::ios::out); // as a .tri file
oFileT << T;
std::ofstream to_off("output_regular.off"); // as a .off file
CGAL::write_triangulation_to_off(to_off, T);
std::ofstream d_to_off("output_dual.off");
draw_dual_to_off(d_to_off, T);
// reading file output
P3DT3 T1;
std::ifstream iFileT("output.tri",std::ios::in);
iFileT >> T1;
assert( T1.is_valid() );
assert( T1.number_of_vertices() == T.number_of_vertices() );
assert( T1.number_of_cells() == T.number_of_cells() );
return 0;
}
CGAL::Exact_predicates_inexact_constructions_kernel
CGAL::Periodic_3_Delaunay_triangulation_3
The class Periodic_3_Delaunay_triangulation_3 represents a Delaunay triangulation in three-dimensiona...
Definition: Periodic_3_Delaunay_triangulation_3.h:26
CGAL::Periodic_3_Delaunay_triangulation_traits_3
The class Periodic_3_Delaunay_triangulation_traits_3 is designed as a default traits class for the cl...
Definition: Periodic_3_Delaunay_triangulation_traits_3.h:23