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

CGAL 4.8 - 2D Arrangements

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Arrangement_on_surface_2/curve_history.cpp
// Constructing an arrangement with curve history.
#include <CGAL/Cartesian.h>
#include <CGAL/Exact_rational.h>
#include <CGAL/Arr_segment_traits_2.h>
#include <CGAL/Arrangement_on_surface_with_history_2.h>
#include <CGAL/Arrangement_with_history_2.h>
#include <CGAL/Arr_simple_point_location.h>
#include "point_location_utils.h"
typedef CGAL::Cartesian<CGAL::Exact_rational> Kernel;
typedef CGAL::Arr_segment_traits_2<Kernel> Traits_2;
typedef Traits_2::Point_2 Point_2;
typedef Traits_2::Curve_2 Segment_2;
typedef CGAL::Arrangement_with_history_2<Traits_2> Arr_with_hist_2;
typedef Arr_with_hist_2::Curve_handle Curve_handle;
typedef CGAL::Arr_simple_point_location<Arr_with_hist_2> Point_location;
int main()
{
Arr_with_hist_2 arr;
// Insert s1, s2 and s3 incrementally:
Segment_2 s1(Point_2(0, 3), Point_2(4, 3));
insert(arr, s1);
Segment_2 s2(Point_2(3, 2), Point_2(3, 5));
insert(arr, s2);
Segment_2 s3(Point_2(2, 3), Point_2(5, 3));
insert(arr, s3);
// Insert three additional segments aggregately:
Segment_2 segs[3];
segs[0] = Segment_2(Point_2(2, 6), Point_2(7, 1));
segs[1] = Segment_2(Point_2(0, 0), Point_2(2, 6));
segs[2] = Segment_2(Point_2(3, 4), Point_2(6, 4));
insert(arr, segs, segs + 3);
// Print out the curves and the number of edges each one induces.
Arr_with_hist_2::Curve_iterator cit;
std::cout << "The arrangement contains "
<< arr.number_of_curves() << " curves:" << std::endl;
for (cit = arr.curves_begin(); cit != arr.curves_end(); ++cit)
std::cout << "Curve [" << *cit << "] induces "
<< arr.number_of_induced_edges(cit) << " edges." << std::endl;
// Print the arrangement edges, along with the list of curves that
// induce each edge.
Arr_with_hist_2::Edge_iterator eit;
Arr_with_hist_2::Originating_curve_iterator ocit;
std::cout << "The arrangement is comprised of "
<< arr.number_of_edges() << " edges:" << std::endl;
for (eit = arr.edges_begin(); eit != arr.edges_end(); ++eit) {
std::cout << "[" << eit->curve() << "]. Originating curves: ";
for (ocit = arr.originating_curves_begin(eit);
ocit != arr.originating_curves_end(eit); ++ocit)
std::cout << " [" << *ocit << "]" << std::flush;
std::cout << std::endl;
}
// Perform some point-location queries:
Point_location pl(arr);
Point_2 p1(4, 6);
point_location_query(pl, p1);
Point_2 p2(6, 2);
point_location_query(pl, p2);
Point_2 p3(2, 4);
point_location_query(pl, p3);
return 0;
}