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// Copyright (c) 1997, 2012, 2019 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Triangulation_on_sphere_2/include/CGAL/Projection_on_sphere_traits_3.h $ // $Id: include/CGAL/Projection_on_sphere_traits_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Mariette Yvinec, // Claudia Werner // Mael Rouxel-Labbé #ifndef CGAL_TRIANGULATION_ON_SPHERE_PROJECTION_SPHERE_TRAITS_3_H #define CGAL_TRIANGULATION_ON_SPHERE_PROJECTION_SPHERE_TRAITS_3_H #include #include #include #include namespace CGAL { namespace internal { template class Point_with_scale : public LK::Point_3 { public: typedef typename LK::FT FT; typedef typename LK::Point_3 Base_point; typedef typename LK::Vector_3 Vector_3; private: mutable bool cached; mutable Base_point proj_pt; public: Point_with_scale() : Base_point(), cached(false) { } // vertex base wants a default constructor Point_with_scale(const Base_point& p) : Base_point(p), cached(false) { } const Base_point& get_projection(const Base_point& center, const FT radius, const LK& lk) const { if(!cached) compute_projection(center, radius, lk); return proj_pt; } const Base_point& get_projection(const Base_point& center, const FT radius) const { return get_projection(center, radius, LK()); } private: void compute_projection(const Base_point& center, const FT radius, const LK& lk) const { CGAL_precondition(static_cast(*this) != center); Vector_3 v = lk.construct_vector_3_object()(center, static_cast(*this)); FT n = lk.compute_squared_length_3_object()(v); CGAL_assertion(n > 0); n = CGAL::sqrt(n); v = lk.construct_scaled_vector_3_object()(v, radius / n); proj_pt = lk.construct_translated_point_3_object()(center, v); cached = true; } }; template struct Construct_point_with_scale : public CGAL::cpp98::unary_function { PoS2 operator()(const P3& pt) const { return PoS2(pt); } }; // Adaptor for calling the functors with the points projected on the sphere template class Functor_projection_adaptor : public Functor_ { typedef Functor_ Functor; typedef Functor_ Base; typedef typename LK::FT FT; typedef typename LK::Point_3 Point_3; typedef internal::Point_with_scale Point; public: Functor_projection_adaptor(const Functor& f, const Point_3& center, const FT radius) : Base(f), _c(center), _r(radius) { } public: using Base::operator(); decltype(auto) operator()(const Point& p0, const Point& p1) { return Base::operator()(p0.get_projection(_c, _r), p1.get_projection(_c, _r)); } decltype(auto) operator()(const Point& p0, const Point& p1, const Point& p2) { return Base::operator()(p0.get_projection(_c, _r), p1.get_projection(_c, _r), p2.get_projection(_c, _r)); } decltype(auto) operator ()(const Point& p0, const Point& p1, const Point& p2, const Point& p3) { return Base::operator()(p0.get_projection(_c, _r), p1.get_projection(_c, _r), p2.get_projection(_c, _r), p3.get_projection(_c, _r)); } decltype(auto) operator()(const Point& p0, const Point& p1, const Point& p2, const Point& p3, const Point& p4) { return Base::operator()(p0.get_projection(_c, _r), p1.get_projection(_c, _r), p2.get_projection(_c, _r), p3.get_projection(_c, _r), p4.get_projection(_c, _r)); } private: const Point_3& _c; const FT _r; }; } // namespace internal template class Projection_on_sphere_traits_3 : public Delaunay_triangulation_on_sphere_traits_2 { protected: typedef Delaunay_triangulation_on_sphere_traits_2 Base; typedef Projection_on_sphere_traits_3 Self; public: typedef typename LK::FT FT; typedef typename LK::Point_3 Point_3; typedef internal::Point_with_scale Point_on_sphere_2; // predicates typedef internal::Functor_projection_adaptor Collinear_are_strictly_ordered_on_great_circle_2; typedef internal::Functor_projection_adaptor Compare_on_sphere_2; typedef internal::Functor_projection_adaptor Equal_on_sphere_2; typedef internal::Functor_projection_adaptor Orientation_on_sphere_2; typedef internal::Functor_projection_adaptor Side_of_oriented_circle_on_sphere_2; // constructions typedef internal::Construct_point_with_scale Construct_point_on_sphere_2; typedef internal::Functor_projection_adaptor Construct_point_3; typedef internal::Functor_projection_adaptor Construct_segment_3; typedef internal::Functor_projection_adaptor Construct_triangle_3; typedef internal::Functor_projection_adaptor Construct_arc_on_sphere_2; typedef internal::Functor_projection_adaptor Construct_circumcenter_on_sphere_2; public: Projection_on_sphere_traits_3(const Point_3& sphere = CGAL::ORIGIN, const FT radius = 1, const LK& lk = LK()) : Base(sphere, radius, lk) { } // predicates public: Collinear_are_strictly_ordered_on_great_circle_2 collinear_are_strictly_ordered_on_great_circle_2_object() const { return Collinear_are_strictly_ordered_on_great_circle_2( Base::collinear_are_strictly_ordered_on_great_circle_2_object(), Base::center(), Base::radius()); } Compare_on_sphere_2 compare_on_sphere_2_object() const { return Compare_on_sphere_2(Base::compare_on_sphere_2_object(), Base::center(), Base::radius()); } Equal_on_sphere_2 equal_on_sphere_2_object() const { return Equal_on_sphere_2(Base::equal_on_sphere_2_object(), Base::center(), Base::radius()); } Orientation_on_sphere_2 orientation_on_sphere_2_object() const { return Orientation_on_sphere_2(Base::orientation_on_sphere_2_object(), Base::center(), Base::radius()); } Side_of_oriented_circle_on_sphere_2 side_of_oriented_circle_on_sphere_2_object() const { return Side_of_oriented_circle_on_sphere_2(Base::side_of_oriented_circle_on_sphere_2_object(), Base::center(), Base::radius()); } // constructions public: Construct_point_on_sphere_2 construct_point_on_sphere_2_object() const { return Construct_point_on_sphere_2(); } Construct_arc_on_sphere_2 construct_arc_on_sphere_2_object() const { return Construct_arc_on_sphere_2(Base::construct_arc_on_sphere_2_object(), Base::center(), Base::radius()); } Construct_circumcenter_on_sphere_2 construct_circumcenter_on_sphere_2_object() const { return Construct_circumcenter_on_sphere_2(Base::construct_circumcenter_on_sphere_2_object(), Base::center(), Base::radius()); } Construct_point_3 construct_point_3_object() const { return Construct_point_3(Base::construct_point_3_object(), Base::center(), Base::radius()); } public: bool is_on_sphere(const Point_on_sphere_2& /*p*/) const { return true; } bool are_points_too_close(const Point_on_sphere_2& p, const Point_on_sphere_2& q) const { return Base::are_points_too_close(p.get_projection(Base::center(), Base::radius(), Base::lk()), q.get_projection(Base::center(), Base::radius(), Base::lk())); } }; } // namespace CGAL #endif // CGAL_TRIANGULATION_ON_SPHERE_PROJECTION_SPHERE_TRAITS_3_H