// Boost.Geometry Index // // n-dimensional content (hypervolume) - 2d area, 3d volume, ... // // Copyright (c) 2011-2014 Adam Wulkiewicz, Lodz, Poland. // // This file was modified by Oracle on 2020-2023. // Modifications copyright (c) 2020-2023 Oracle and/or its affiliates. // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle // // Use, modification and distribution is subject to the Boost Software License, // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at // http://www.boost.org/LICENSE_1_0.txt) #ifndef BOOST_GEOMETRY_INDEX_DETAIL_ALGORITHMS_CONTENT_HPP #define BOOST_GEOMETRY_INDEX_DETAIL_ALGORITHMS_CONTENT_HPP #include #include #include #include #include #include #include #include #include namespace boost { namespace geometry { namespace index { namespace detail { #if defined(BOOST_GCC) // The following pragmas set fp-contract=off for GCC, to prevent surprising and // subtle numerical behaviour changes as a result of cross-statement/function // FMA contractions which can result in e.g. content(b1) - content(b2) != 0 // (or < 0) for content(b1) == content(b2) (or >=), due to the fp-contract=fast // default from at least GCC 4.4 to present GCC 15.2. This avoids Github issue // #1452. Safe to remove after numerically robust handling of degenerate cases // is ensured at all index::detail::content(box) call sites. #pragma GCC push_options #pragma GCC optimize ("fp-contract=off") #endif template struct default_content_result { using type = typename select_most_precise < typename coordinate_type::type, double >::type; }; namespace dispatch { template ::value> struct content_box { static_assert(0 < CurrentDimension, "Specialization for positive index."); static inline typename detail::default_content_result::type apply(Box const& b) { return content_box::apply(b) * ( get(b) - get(b) ); } }; template struct content_box { static inline typename detail::default_content_result::type apply(Box const& b) { return get(b) - get(b); } }; template struct content { BOOST_GEOMETRY_STATIC_ASSERT_FALSE( "Not implemented for this Indexable and Tag.", Indexable, Tag); }; template struct content { static typename detail::default_content_result::type apply(Indexable const&) { return 0; } }; template struct content { static typename default_content_result::type apply(Indexable const& b) { return dispatch::content_box::apply(b); } }; } // namespace dispatch template typename default_content_result::type content(Indexable const& b) { return dispatch::content < Indexable, tag_t >::apply(b); } // Returns the content increase when expanding 'original' to 'expanded'. // Precondition: 'original' is covered by 'expanded'. Under this precondition // the result is mathematically non-negative, so clamping to 0 is valid and // guards against floating-point contraction artifacts (e.g. GCC FMA fusion // across function boundaries) that can make the difference negative or // spuriously non-zero for equal boxes. See GitHub issue #1452. template typename default_content_result::type content_diff(Box const& expanded, Box const& original) { using content_type = typename default_content_result::type; return (std::max)(content_type(0), content(expanded) - content(original)); } #if defined(BOOST_GCC) #pragma GCC pop_options #endif }}}} // namespace boost::geometry::index::detail #endif // BOOST_GEOMETRY_INDEX_DETAIL_ALGORITHMS_CONTENT_HPP