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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 <boost/geometry/arithmetic/determinant.hpp>
- #include <boost/geometry/core/access.hpp>
- #include <boost/geometry/core/coordinate_type.hpp>
- #include <boost/geometry/core/coordinate_dimension.hpp>
- #include <boost/geometry/strategy/area.hpp>
- #include <boost/geometry/util/select_most_precise.hpp>
- 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 <typename Geometry>
- struct result_type
- : strategy::area::detail::result_type
- <
- Geometry,
- CalculationType
- >
- {};
-
- template <typename Geometry>
- class state
- {
- friend class cartesian;
- typedef typename result_type<Geometry>::type return_type;
- public:
- inline state()
- : sum(0)
- {
- // Strategy supports only 2D areas
- assert_dimension<Geometry, 2>();
- }
- private:
- inline return_type area() const
- {
- return_type const two = 2;
- return sum / two;
- }
- return_type sum;
- };
- template <typename PointOfSegment, typename Geometry>
- static inline void apply(PointOfSegment const& p1,
- PointOfSegment const& p2,
- state<Geometry>& st)
- {
- typedef typename state<Geometry>::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<return_type>(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 <typename Geometry>
- static inline auto result(state<Geometry>& st)
- {
- return st.area();
- }
- };
- #ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
- namespace services
- {
- template <>
- struct default_strategy<cartesian_tag>
- {
- 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
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