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// Boost.Geometry (aka GGL, Generic Geometry Library) // Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands. // Copyright (c) 2008-2012 Bruno Lalande, Paris, France. // Copyright (c) 2009-2012 Mateusz Loskot, London, UK. // Copyright (c) 2017 Adam Wulkiewicz, Lodz, Poland. // This file was modified by Oracle on 2016-2020. // Modifications copyright (c) 2016-2020, Oracle and/or its affiliates. // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle // Parts of Boost.Geometry are redesigned from Geodan's Geographic Library // (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands. // 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_STRATEGY_CARTESIAN_AREA_HPP #define BOOST_GEOMETRY_STRATEGY_CARTESIAN_AREA_HPP //#include #include #include #include #include #include namespace boost { namespace geometry { namespace strategy { namespace area { /*! \brief Cartesian area calculation \ingroup strategies \details Calculates cartesian area using the trapezoidal rule \tparam CalculationType \tparam_calculation \qbk{ [heading See also] [link geometry.reference.algorithms.area.area_2_with_strategy area (with strategy)] } */ template < typename CalculationType = void > class cartesian { public : template struct result_type : strategy::area::detail::result_type < Geometry, CalculationType > {}; template class state { friend class cartesian; typedef typename result_type::type return_type; public: inline state() : sum(0) { // Strategy supports only 2D areas assert_dimension(); } private: inline return_type area() const { return_type const two = 2; return sum / two; } return_type sum; }; template static inline void apply(PointOfSegment const& p1, PointOfSegment const& p2, state& st) { typedef typename state::return_type return_type; // Below formulas are equivalent, however the two lower ones // suffer less from accuracy loss for great values of coordinates. // See: https://svn.boost.org/trac/boost/ticket/11928 // SUM += x2 * y1 - x1 * y2; // state.sum += detail::determinant(p2, p1); // SUM += (x2 - x1) * (y2 + y1) //state.sum += (return_type(get<0>(p2)) - return_type(get<0>(p1))) // * (return_type(get<1>(p2)) + return_type(get<1>(p1))); // SUM += (x1 + x2) * (y1 - y2) st.sum += (return_type(get<0>(p1)) + return_type(get<0>(p2))) * (return_type(get<1>(p1)) - return_type(get<1>(p2))); } template static inline auto result(state& st) { return st.area(); } }; #ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS namespace services { template <> struct default_strategy { typedef strategy::area::cartesian<> type; }; } // namespace services #endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS }} // namespace strategy::area }} // namespace boost::geometry #endif // BOOST_GEOMETRY_STRATEGY_CARTESIAN_AREA_HPP