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// Copyright (c) 2002,2011 Utrecht University (The Netherlands). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Spatial_searching/include/CGAL/Fuzzy_sphere.h $ // $Id: include/CGAL/Fuzzy_sphere.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Hans Tangelder () #ifndef CGAL_FUZZY_SPHERE_H #define CGAL_FUZZY_SPHERE_H #include #include #include #include #include namespace CGAL { namespace internal{ template class Fuzzy_sphere_impl { public: typedef typename SearchTraits::FT FT; typedef typename SearchTraits::Dimension Dimension; private: SearchTraits traits; Point_d c; FT sq_radius; FT sq_inner_radius; FT sq_outer_radius; public: // default constructor Fuzzy_sphere_impl(const SearchTraits& traits_=SearchTraits()):traits(traits_) {} // constructor Fuzzy_sphere_impl(const Point_d& center, FT r, FT eps=FT(0), const SearchTraits& traits_ = SearchTraits()) : traits(traits_), c(center), sq_radius(r*r) { CGAL_precondition(r >= 0); CGAL_precondition(eps >= 0); sq_inner_radius = (eps > r) ? FT(-1) : (r - eps) * (r - eps); sq_outer_radius = (r + eps) * (r + eps); } bool contains(const typename SearchTraits::Point_d& p) const { // test whether the distance between c and p is less than the radius FT distance=FT(0); typename SearchTraits::Construct_cartesian_const_iterator_d construct_it= traits.construct_cartesian_const_iterator_d_object(); typename SearchTraits::Cartesian_const_iterator_d cit = construct_it(c), pit = construct_it(p), end = construct_it(c, 0); for (; cit != end && (distance <= sq_radius); ++cit, ++pit) { distance += CGAL::square((*cit)-(*pit)); } return (distance <= sq_radius); } template bool contains_point_given_as_coordinates(Coord_iterator it_coord_begin, Coord_iterator /*unused*/) const { // test whether the distance between c and p is less than the radius FT distance = FT(0); typename SearchTraits::Construct_cartesian_const_iterator_d construct_it = traits.construct_cartesian_const_iterator_d_object(); typename SearchTraits::Cartesian_const_iterator_d cit = construct_it(c), end = construct_it(c, 0); for (; cit != end && (distance <= sq_radius); ++cit, ++it_coord_begin) distance += ((*cit) - (*it_coord_begin))*((*cit) - (*it_coord_begin)); return (distance < sq_radius); } bool inner_range_intersects(const Kd_tree_rectangle& rectangle) const { // test whether the sphere with radius (r-eps) intersects 'rectangle', i.e. // if the minimal distance of c to 'rectangle' is less than r-eps FT distance = FT(0); typename SearchTraits::Construct_cartesian_const_iterator_d construct_it= traits.construct_cartesian_const_iterator_d_object(); typename SearchTraits::Cartesian_const_iterator_d cit = construct_it(c), end = construct_it(c, 0); for (int i = 0; cit != end && (distance <= sq_inner_radius); ++cit, ++i) { if ((*cit) < rectangle.min_coord(i)) distance += CGAL::square(rectangle.min_coord(i)-(*cit)); else if ((*cit) > rectangle.max_coord(i)) distance += CGAL::square((*cit)-rectangle.max_coord(i)); } return (distance <= sq_inner_radius); } bool outer_range_contains(const Kd_tree_rectangle& rectangle) const { // test whether the sphere with radius (r+eps) contains 'rectangle', // i.e. if the maximal distance of c to the boundary of 'rectangle' // is less than r+eps FT distance=FT(0); typename SearchTraits::Construct_cartesian_const_iterator_d construct_it= traits.construct_cartesian_const_iterator_d_object(); typename SearchTraits::Cartesian_const_iterator_d cit = construct_it(c), end = construct_it(c, 0); for (int i = 0; cit != end && (distance <= sq_outer_radius) ; ++cit,++i) { if ((*cit) <= (rectangle.min_coord(i)+rectangle.max_coord(i))/FT(2)) distance += CGAL::square(rectangle.max_coord(i)-(*cit)); else distance += CGAL::square((*cit)-rectangle.min_coord(i)); } return (distance <= sq_outer_radius); } }; // class Fuzzy_sphere_impl } template class Fuzzy_sphere: public internal::Fuzzy_sphere_impl { typedef internal::Fuzzy_sphere_impl Base; typedef typename Base::FT FT; public: // constructors Fuzzy_sphere(const SearchTraits& traits_=SearchTraits()):Base(traits_){} Fuzzy_sphere(const typename SearchTraits::Point_d& center, FT radius, FT epsilon=FT(0),const SearchTraits& traits_=SearchTraits()) : Base(center,radius,epsilon,traits_) {} }; //specialization for Search_traits_adapter template class Fuzzy_sphere< Search_traits_adapter > : public internal::Fuzzy_sphere_impl,typename Base_traits::Point_d> { typedef Search_traits_adapter SearchTraits; typedef internal::Fuzzy_sphere_impl Base; typedef typename Base_traits::FT FT; public: // constructors Fuzzy_sphere(const SearchTraits& traits_=SearchTraits()):Base(traits_){} // Constructor for any point type that is not `SearchTraits::Point_d` template // std::enable_if_t requires a template argument to work Fuzzy_sphere(const Point& center, FT radius, FT epsilon=FT(0),const SearchTraits& traits_=SearchTraits(), std::enable_if_t< !std::is_same::value >* = 0) : Base(center,radius,epsilon,traits_) {} Fuzzy_sphere(const typename SearchTraits::Point_d& center, FT radius, FT epsilon=FT(0), const SearchTraits& traits_=SearchTraits()) : Base(get(traits_.point_property_map(),center),radius,epsilon,traits_) {} }; } // namespace CGAL #endif // FUZZY_SPHERE_H