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

CGAL 4.3 - 2D Arrangements

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Arrangement_on_surface_2/special_edge_insertion.cpp
// Constructing an arrangement using the specialized edge-insertion functions.
#include "arr_inexact_construction_segments.h"
#include "arr_print.h"
int main()
{
Point p0(3, 3), p1(1, 3), p2(3, 5), p3(5, 3), p4(3, 1);
Segment s1(p1, p2), s2(p2, p3), s3(p3, p4), s4(p4, p1);
Segment s5(p1, p0), s6(p0, p3), s7(p4, p0), s8(p0, p2);
Arrangement arr;
Vertex_handle v0 = arr.insert_in_face_interior(p0, arr.unbounded_face());
Halfedge_handle e1 = arr.insert_in_face_interior(s1, arr.unbounded_face());
Halfedge_handle e2 = arr.insert_from_left_vertex(s2, e1);
Halfedge_handle e3 = arr.insert_from_right_vertex(s3, e2);
Halfedge_handle e4 = arr.insert_at_vertices(s4, e3, e1->twin());
Halfedge_handle e5 = arr.insert_at_vertices(s5, e1->twin(), v0);
Halfedge_handle e6 = arr.insert_at_vertices(s6, e5, e3->twin());
arr.insert_at_vertices(s7, e4->twin(), e6->twin());
arr.insert_at_vertices(s8, e5, e2->twin());
print_arrangement(arr);
return 0;
}