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// Copyright (c) 2023 INRIA (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Orthtree/include/CGAL/Orthtree_traits_base.h $ // $Id: include/CGAL/Orthtree_traits_base.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Jackson Campolattaro #ifndef ORTHTREE_ORTHTREE_TRAITS_BASE_H #define ORTHTREE_ORTHTREE_TRAITS_BASE_H #include #include #include namespace CGAL { /*! \ingroup PkgOrthtreeTraits The class `Orthtree_traits_base` is a base class providing common choices for types and functors. The base class is extended by `CGAL::Orthtree_traits_point` and by `CGAL::Orthtree_traits_face_graph`. \tparam GeomTraits a model of `Kernel`. \tparam dim dimension of the ambient Euclidean space. \sa `CGAL::Orthtree_traits_point` \sa `CGAL::Orthtree_traits_face_graph` */ template struct Orthtree_traits_base { /// \name Types /// @{ using Node_index = std::size_t; using Kernel = GeomTraits; static constexpr int dimension = dim; using FT = typename GeomTraits::FT; using Point_d = typename GeomTraits::Point_d; using Bbox_d = typename GeomTraits::Iso_box_d; using Sphere_d = typename GeomTraits::Sphere_d; using Cartesian_const_iterator_d = typename GeomTraits::Cartesian_const_iterator_d; /*! * Adjacency type. * * \note This type is used to identify adjacency directions with * easily understandable keywords (left, right, up, down, ...) and is thus * mainly useful in 2D and 3D. In * higher dimensions, such keywords do not exist and this type is * simply an integer. Conversions from this integer to bitsets still * work but do not provide any user-friendly API for adjacency selection. * * Two directions along each axis in %Cartesian space, relative to a node. * * Directions are mapped to numbers as 3-bit integers in the 3D case or as 2-bit integers in the 2D case. * In the 3d case the numbers 6 and 7 are not used because there are only 6 different directions. * * The first two bits indicate the axis (00 = x, 01 = y, 10 = z), * the third bit indicates the direction along that axis (0 = -, 1 = +). * * The following diagram and table showing the 3D case may be a useful reference (2D case is identical with one dimension less): * * 3 * * | * 4 * | / y+ * |/ * * 0 *------+------* 1 | * /| | * / | +-----* x+ * 5 * | / * * 2 / * * z+ * * This lookup table may also be helpful: * * | Direction | bitset | number | Enum | * | --------- | ------ | ------ | ----- | * | `-x` | 000 | 0 | LEFT | * | `+x` | 001 | 1 | RIGHT | * | `-y` | 010 | 2 | DOWN | * | `+y` | 011 | 3 | UP | * | `-z` | 100 | 4 | BACK | * | `+z` | 101 | 5 | FRONT | */ using Adjacency = int; /// @} struct Construct_point_d { template > Point_d operator()(Args ...args) { std::initializer_list args_list{ args... }; return Point_d{ static_cast(args_list.size()), args_list.begin(), args_list.end() }; } }; Construct_point_d construct_point_d_object() const { return Construct_point_d(); } }; template struct Orthtree_traits_base { using Node_index = std::size_t; using Kernel = GeomTraits; static constexpr int dimension = 2; using FT = typename GeomTraits::FT; using Point_d = typename GeomTraits::Point_2; using Bbox_d = typename GeomTraits::Iso_rectangle_2; using Sphere_d = typename GeomTraits::Circle_2; using Cartesian_const_iterator_d = typename GeomTraits::Cartesian_const_iterator_2; enum Adjacency { LEFT, RIGHT, DOWN, UP }; using Construct_point_d = Point_d(*)(const FT&, const FT&); Construct_point_d construct_point_d_object() const { return [](const FT& x, const FT& y) -> Point_d { return {x, y}; }; } }; template struct Orthtree_traits_base { using Node_index = std::size_t; using Kernel = GeomTraits; static constexpr int dimension = 3; using FT = typename GeomTraits::FT; using Point_d = typename GeomTraits::Point_3; using Bbox_d = typename GeomTraits::Iso_cuboid_3; using Sphere_d = typename GeomTraits::Sphere_3; using Cartesian_const_iterator_d = typename GeomTraits::Cartesian_const_iterator_3; enum Adjacency { LEFT, RIGHT, DOWN, UP, BACK, FRONT }; enum Child { LEFT_BOTTOM_BACK, RIGHT_BOTTOM_BACK, LEFT_TOP_BACK, RIGHT_TOP_BACK, LEFT_BOTTOM_FRONT, RIGHT_BOTTOM_FRONT, LEFT_TOP_FRONT, RIGHT_TOP_FRONT }; using Construct_point_d = Point_d(*)(const FT&, const FT&, const FT&); Construct_point_d construct_point_d_object() const { return [](const FT& x, const FT& y, const FT& z) -> Point_d { return {x, y, z}; }; } }; } #endif //ORTHTREE_ORTHTREE_TRAITS_BASE_H