CGAL 6.1.1 - 2D Generalized Barycentric Coordinates

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Barycentric_coordinates_2/triangle_coordinates.cpp
#include <CGAL/Simple_cartesian.h>
#include <CGAL/Barycentric_coordinates_2/triangle_coordinates_2.h>
// Typedefs.
using Kernel = CGAL::Simple_cartesian<double>;
using FT = Kernel::FT;
using Point_2 = Kernel::Point_2;
int main() {
// Construct a triangle.
const Point_2 p0(0.0, 0.0);
const Point_2 p1(2.0, 0.5);
const Point_2 p2(1.0, 2.0);
// Construct several interior, boundary, and exterior query points.
const std::vector<Point_2> queries = {
Point_2(0.50, 0.50), // interior query points
Point_2(1.00, 0.50), Point_2(1.0, 0.75), Point_2(1.00, 1.0),
Point_2(1.00, 1.25), Point_2(1.0, 1.50), Point_2(0.75, 1.0),
Point_2(1.25, 1.00), Point_2(1.5, 0.75),
Point_2(2.0, 0.50), Point_2(1.0, 2.00), // boundary query points
Point_2(1.0, 0.25), Point_2(1.5, 1.25), Point_2(0.5, 1.0),
Point_2(0.25, 1.00), Point_2(0.50, 1.75), // exterior query points
Point_2(1.50, 1.75), Point_2(1.75, 1.50) };
// Compute triangle coordinates.
std::vector<FT> coordinates;
coordinates.reserve(queries.size() * 3);
for (const auto& query : queries) {
CGAL::Barycentric_coordinates::triangle_coordinates_2(
p0, p1, p2, query, std::back_inserter(coordinates));
}
// Output all triangle coordinates.
std::cout << std::endl << "triangle coordinates (all queries): " << std::endl << std::endl;
for (std::size_t i = 0; i < coordinates.size(); i += 3) {
std::cout <<
coordinates[i + 0] << ", " <<
coordinates[i + 1] << ", " <<
coordinates[i + 2] << std::endl;
}
std::cout << std::endl;
return EXIT_SUCCESS;
}
Kernel::Point_2
CGAL::Barycentric_coordinates::triangle_coordinates_2
OutIterator triangle_coordinates_2(const typename GeomTraits::Point_2 &p0, const typename GeomTraits::Point_2 &p1, const typename GeomTraits::Point_2 &p2, const typename GeomTraits::Point_2 &query, OutIterator c_begin, const GeomTraits &traits)
computes triangle coordinates.
Definition: triangle_coordinates_2.h:72
Kernel
CGAL::Simple_cartesian