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#include <iostream>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Projection_traits_xy_3.h>
#include <CGAL/Polygon_2.h>
#include <CGAL/Constrained_Delaunay_triangulation_2.h>
#include <CGAL/Constrained_triangulation_plus_2.h>
#include <CGAL/Polyline_simplification_2/simplify.h>
#include <CGAL/Polyline_simplification_2/Squared_distance_cost.h>
namespace PS = CGAL::Polyline_simplification_2;
typedef CGAL::Exact_predicates_inexact_constructions_kernel Epic;
typedef CGAL::Projection_traits_xy_3<Epic> K;
typedef CGAL::Polygon_2<K> Polygon_2;
typedef PS::Vertex_base_2<K> Vb;
typedef CGAL::Constrained_triangulation_face_base_2<K> Fb;
typedef CGAL::Triangulation_data_structure_2<Vb, Fb> TDS;
typedef CGAL::Constrained_Delaunay_triangulation_2<K, TDS, CGAL::Exact_predicates_tag> CDT;
typedef CGAL::Constrained_triangulation_plus_2<CDT> CT;
typedef CT::Point Point;
typedef CT::Constraint_iterator Constraint_iterator;
typedef CT::Vertices_in_constraint_iterator Vertices_in_constraint_iterator;
typedef CT::Points_in_constraint_iterator Points_in_constraint_iterator;
typedef PS::Stop_below_count_ratio_threshold Stop;
typedef PS::Squared_distance_cost Cost;
int main()
{
CT ct;
Polygon_2 P;
while(std::cin >> P){
ct.insert_constraint(P);
}
PS::simplify(ct, Cost(), Stop(0.5));
for(Constraint_iterator cit = ct.constraints_begin();
cit != ct.constraints_end();
++cit) {
std::cout << "simplified polyline" << std::endl;
for(Points_in_constraint_iterator vit =
ct.points_in_constraint_begin(*cit);
vit != ct.points_in_constraint_end(*cit);
++vit)
std::cout << *vit << std::endl;
}
return 0;
}
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