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/* This file is part of the Gudhi Library. The Gudhi library
* (Geometric Understanding in Higher Dimensions) is a generic C++
* library for computational topology.
*
* Author(s): Vincent Rouvreau
*
* Copyright (C) 2018 Inria
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#ifndef ALPHA_COMPLEX_3D_OPTIONS_H_
#define ALPHA_COMPLEX_3D_OPTIONS_H_
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h>
#include <CGAL/Periodic_3_Delaunay_triangulation_3.h>
#include <CGAL/Periodic_3_regular_triangulation_traits_3.h>
#include <CGAL/Periodic_3_regular_triangulation_3.h>
#include <CGAL/Regular_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>
#include <CGAL/Alpha_shape_cell_base_3.h>
#include <CGAL/Alpha_shape_vertex_base_3.h>
namespace Gudhi {
namespace alpha_complex {
class Alpha_shapes_3d {
private:
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel>;
using Fb = CGAL::Alpha_shape_cell_base_3<Kernel>;
using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
public:
using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
using Point_3 = Kernel::Point_3;
static const bool weighted = false;
static const bool periodic = false;
template<class Filtration_value, class Alpha_value_iterator>
static Filtration_value value_from_iterator(const Alpha_value_iterator avi){
return /*std::sqrt*/ *avi;
}
};
class Exact_alpha_shapes_3d {
private:
// Alpha_shape_3 templates type definitions
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using Exact_tag = CGAL::Tag_true;
using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, CGAL::Default, Exact_tag>;
using Fb = CGAL::Alpha_shape_cell_base_3<Kernel, CGAL::Default, Exact_tag>;
using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
public:
using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3, Exact_tag>;
using Point_3 = Kernel::Point_3;
static const bool weighted = false;
static const bool periodic = false;
static const bool exact = true;
template<class Filtration_value, class Alpha_value_iterator>
static Filtration_value value_from_iterator(const Alpha_value_iterator avi){
return /*std::sqrt*/ CGAL::to_double(avi->exact());
}
};
class Weighted_alpha_shapes_3d {
private:
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using Rvb = CGAL::Regular_triangulation_vertex_base_3<Kernel>;
using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, Rvb>;
using Rcb = CGAL::Regular_triangulation_cell_base_3<Kernel>;
using Cb = CGAL::Alpha_shape_cell_base_3<Kernel, Rcb>;
using Tds = CGAL::Triangulation_data_structure_3<Vb, Cb>;
using Triangulation_3 = CGAL::Regular_triangulation_3<Kernel, Tds>;
public:
using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
using Point_3 = Triangulation_3::Bare_point;
using Weighted_point_3 = Triangulation_3::Weighted_point;
static const bool weighted = true;
static const bool periodic = false;
static const bool exact = false;
template<class Filtration_value, class Alpha_value_iterator>
static Filtration_value value_from_iterator(const Alpha_value_iterator avi){
return /*std::sqrt*/ *avi;
}
};
class Periodic_alpha_shapes_3d {
private:
// Traits
using K = CGAL::Exact_predicates_inexact_constructions_kernel;
using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>;
// Vertex type
using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>;
using Vb = CGAL::Triangulation_vertex_base_3<PK, DsVb>;
using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>;
// Cell type
using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>;
using Cb = CGAL::Triangulation_cell_base_3<PK, DsCb>;
using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>;
using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>;
public:
using Periodic_delaunay_triangulation_3 = CGAL::Periodic_3_Delaunay_triangulation_3<PK, Tds>;
using Alpha_shape_3 = CGAL::Alpha_shape_3<Periodic_delaunay_triangulation_3>;
using Point_3 = PK::Point_3;
using Iso_cuboid_3 = PK::Iso_cuboid_3;
static const bool weighted = false;
static const bool periodic = true;
static const bool exact = false;
template<class Filtration_value, class Alpha_value_iterator>
static Filtration_value value_from_iterator(const Alpha_value_iterator avi){
return /*std::sqrt*/ *avi;
}
};
class Weighted_periodic_alpha_shapes_3d {
private:
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
using Periodic_kernel = CGAL::Periodic_3_regular_triangulation_traits_3<Kernel>;
using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>;
using Vb = CGAL::Regular_triangulation_vertex_base_3<Periodic_kernel, DsVb>;
using AsVb = CGAL::Alpha_shape_vertex_base_3<Periodic_kernel, Vb>;
using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>;
using Cb = CGAL::Regular_triangulation_cell_base_3<Periodic_kernel, DsCb>;
using AsCb = CGAL::Alpha_shape_cell_base_3<Periodic_kernel, Cb>;
using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>;
public:
using Periodic_delaunay_triangulation_3 = CGAL::Periodic_3_regular_triangulation_3<Periodic_kernel, Tds>;
using Alpha_shape_3 = CGAL::Alpha_shape_3<Periodic_delaunay_triangulation_3>;
using Point_3 = Periodic_delaunay_triangulation_3::Bare_point;
using Weighted_point_3 = Periodic_delaunay_triangulation_3::Weighted_point;
using Iso_cuboid_3 = Periodic_kernel::Iso_cuboid_3;
static const bool weighted = true;
static const bool periodic = true;
static const bool exact = false;
template<class Filtration_value, class Alpha_value_iterator>
static Filtration_value value_from_iterator(const Alpha_value_iterator avi){
return /*std::sqrt*/ *avi;
}
};
} // namespace alpha_complex
} // namespace Gudhi
#endif // ALPHA_COMPLEX_3D_OPTIONS_H_
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