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Alpha_kernel_d.h
/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
* See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
* Author(s): Vincent Rouvreau
*
* Copyright (C) 2020 Inria
*
* Modification(s):
* - YYYY/MM Author: Description of the modification
*/
#ifndef ALPHA_COMPLEX_ALPHA_KERNEL_D_H_
#define ALPHA_COMPLEX_ALPHA_KERNEL_D_H_
#include <CGAL/version.h> // for CGAL_VERSION_NR
#include <Eigen/Core> // for EIGEN_VERSION_AT_LEAST
#include <utility> // for std::make_pair
// Make compilation fail - required for external projects - https://github.com/GUDHI/gudhi-devel/issues/10
#if CGAL_VERSION_NR < 1041101000
# error Alpha_complex is only available for CGAL >= 4.11
#endif
#if !EIGEN_VERSION_AT_LEAST(3,1,0)
# error Alpha_complex is only available for Eigen3 >= 3.1.0 installed with CGAL
#endif
namespace Gudhi {
namespace alpha_complex {
template < typename Kernel, bool Weighted = false >
class Alpha_kernel_d {
};
// Unweighted Kernel_d version
template < typename Kernel >
class Alpha_kernel_d<Kernel, false> {
private:
// Kernel for functions access.
Kernel kernel_;
public:
// Fake type for compilation to succeed (cf. std::conditional in Alpha_complex.h)
using Weighted_point_d = void;
using Point_d = typename Kernel::Point_d;
// Numeric type of coordinates in the kernel
using FT = typename Kernel::FT;
// Sphere is a pair of point and squared radius.
using Sphere = typename std::pair<Point_d, FT>;
int get_dimension(const Point_d& p0) const {
return kernel_.point_dimension_d_object()(p0);
}
template<class PointIterator>
Sphere get_sphere(PointIterator begin, PointIterator end) const {
Point_d c = kernel_.construct_circumcenter_d_object()(begin, end);
FT r = kernel_.squared_distance_d_object()(c, *begin);
return std::make_pair(std::move(c), std::move(r));
}
template<class PointIterator>
FT get_squared_radius(PointIterator begin, PointIterator end) const {
return kernel_.compute_squared_radius_d_object()(begin, end);
}
FT get_squared_radius(const Sphere& sph) const {
return sph.second;
}
bool is_gabriel(const Sphere& circumcenter, const Point_d& point) {
return kernel_.squared_distance_d_object()(circumcenter.first, point) >= circumcenter.second;
}
};
// Weighted Kernel_d version
template < typename Kernel >
class Alpha_kernel_d<Kernel, true> {
private:
// Kernel for functions access.
Kernel kernel_;
public:
// Fake type for compilation to succeed (cf. std::conditional in Alpha_complex.h)
using Point_d = void;
using Weighted_point_d = typename Kernel::Weighted_point_d;
using Bare_point_d = typename Kernel::Point_d;
// Numeric type of coordinates in the kernel
using FT = typename Kernel::FT;
// Sphere is a weighted point (point + weight [= squared radius]).
using Sphere = Weighted_point_d;
int get_dimension(const Weighted_point_d& p0) const {
return kernel_.point_dimension_d_object()(p0.point());
}
template<class PointIterator>
Sphere get_sphere(PointIterator begin, PointIterator end) const {
// power_center_d_object has been renamed between CGAL 5.1 and 5.2
#if CGAL_VERSION_NR < 1050200000
return kernel_.power_center_d_object()(begin, end);
#else
return kernel_.construct_power_sphere_d_object()(begin, end);
#endif
}
template<class PointIterator>
FT get_squared_radius(PointIterator begin, PointIterator end) const {
return kernel_.compute_squared_radius_smallest_orthogonal_sphere_d_object()(begin, end);
}
FT get_squared_radius(const Sphere& sph) const {
return sph.weight();
}
bool is_gabriel(const Sphere& circumcenter, const Weighted_point_d& point) {
// power_center_d_object has been renamed between CGAL 5.1 and 5.2
#if CGAL_VERSION_NR < 1050200000
return kernel_.power_distance_d_object()(circumcenter, point) >= 0;
#else
return kernel_.compute_power_product_d_object()(circumcenter, point) >= 0;
#endif
}
};
} // namespace alpha_complex
namespace alphacomplex = alpha_complex;
} // namespace Gudhi
#endif // ALPHA_COMPLEX_ALPHA_KERNEL_D_H_
Gudhi::alpha_complex::Alpha_kernel_d
Alpha complex kernel container.
Definition Alpha_kernel_d.h:42
Gudhi
Gudhi namespace.
Definition SimplicialComplexForAlpha.h:14