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#include <CGAL/convex_hull_2.h>
#include <CGAL/Simple_cartesian.h>
#include <CGAL/point_generators_2.h>
#include <CGAL/Barycentric_coordinates_2/Wachspress_coordinates_2.h>
// Typedefs.
using Kernel = CGAL::Simple_cartesian<double>;
using FT = Kernel::FT;
using Point_2 = Kernel::Point_2;
using Creator = CGAL::Creator_uniform_2<FT, Point_2>;
using Generator = CGAL::Random_points_in_square_2<Point_2, Creator>;
int main() {
// Choose how many query points we want to generate.
const std::size_t num_queries = 100;
// Create vectors to store query points and polygon vertices.
std::vector<Point_2> queries, convex;
// Generate a set of query points.
queries.reserve(num_queries);
Generator generator(1.0);
std::copy_n(generator, num_queries, std::back_inserter(queries));
// Find the convex hull of the generated query points.
// This convex hull gives the vertices of a convex polygon
// that contains all the generated points.
CGAL::convex_hull_2(
queries.begin(), queries.end(), std::back_inserter(convex));
// Compute Wachspress coordinates for all query points.
std::cout << std::endl << "Wachspress coordinates (interior + boundary): " << std::endl << std::endl;
std::vector<FT> coordinates;
coordinates.reserve(convex.size());
for (const auto& query : queries) {
coordinates.clear();
CGAL::Barycentric_coordinates::wachspress_coordinates_2(
convex, query, std::back_inserter(coordinates));
for (std::size_t i = 0; i < coordinates.size() - 1; ++i) {
std::cout << coordinates[i] << ", ";
}
std::cout << coordinates[coordinates.size() - 1] << std::endl;
}
std::cout << std::endl;
return EXIT_SUCCESS;
}
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