\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.6.3 - 2D Minkowski Sums
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Minkowski_sum_2/sum_with_holes.cpp
// Computing the Minkowski sum of two non-convex polygons read from a file.
#include <CGAL/Exact_predicates_exact_constructions_kernel.h>
#include <CGAL/minkowski_sum_2.h>
#include <iostream>
#include <fstream>
#include "print_utils.h"
typedef Kernel::Point_2 Point_2;
typedef CGAL::Polygon_2<Kernel> Polygon_2;
typedef CGAL::Polygon_with_holes_2<Kernel> Polygon_with_holes_2;
int main ()
{
// Open the input file.
std::ifstream in_file ("rooms_star.dat");
if (! in_file.is_open())
{
std::cerr << "Failed to open the input file." << std::endl;
return (1);
}
// Read the two polygons from the file and compute their Minkowski sum.
Polygon_2 P, Q;
in_file >> P >> Q;
in_file.close();
// Compute and print the Minkowski sum.
Polygon_with_holes_2 sum = minkowski_sum_2 (P, Q);
std::cout << "P (+) Q = "; print_polygon_with_holes (sum);
return (0);
}