\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.14.2 - 2D Arrangements
Arrangement_on_surface_2/edge_insertion.cpp
// Constructing an arrangement using the simple edge-insertion functions.
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Arr_segment_traits_2.h>
#include <CGAL/Arrangement_2.h>
#include "arr_print.h"
typedef int Number_type;
typedef Traits_2::Point_2 Point_2;
typedef Traits_2::X_monotone_curve_2 Segment_2;
typedef CGAL::Arrangement_2<Traits_2> Arrangement_2;
typedef Arrangement_2::Vertex_handle Vertex_handle;
typedef Arrangement_2::Halfedge_handle Halfedge_handle;
int main()
{
Arrangement_2 arr;
Segment_2 s1(Point_2(1, 3), Point_2(3, 5));
Segment_2 s2(Point_2(3, 5), Point_2(5, 3));
Segment_2 s3(Point_2(5, 3), Point_2(3, 1));
Segment_2 s4(Point_2(3, 1), Point_2(1, 3));
Segment_2 s5(Point_2(1, 3), Point_2(5, 3));
Halfedge_handle e1 = arr.insert_in_face_interior(s1, arr.unbounded_face());
Vertex_handle v1 = e1->source();
Vertex_handle v2 = e1->target();
Halfedge_handle e2 = arr.insert_from_left_vertex(s2, v2);
Vertex_handle v3 = e2->target();
Halfedge_handle e3 = arr.insert_from_right_vertex(s3, v3);
Vertex_handle v4 = e3->target();
arr.insert_at_vertices(s4, v4, v1);
arr.insert_at_vertices(s5, v1, v3);
print_arrangement(arr);
return 0;
}