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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) 2017-2022 Adam Wulkiewicz, Lodz, Poland.
- // This file was modified by Oracle on 2017-2023.
- // Modifications copyright (c) 2017-2023 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
- // 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_ALGORITHMS_AREA_HPP
- #define BOOST_GEOMETRY_ALGORITHMS_AREA_HPP
- #include <boost/core/ignore_unused.hpp>
- #include <boost/range/begin.hpp>
- #include <boost/range/end.hpp>
- #include <boost/range/size.hpp>
- #include <boost/range/value_type.hpp>
- #include <boost/geometry/core/closure.hpp>
- #include <boost/geometry/core/exterior_ring.hpp>
- #include <boost/geometry/core/interior_rings.hpp>
- #include <boost/geometry/core/point_order.hpp>
- #include <boost/geometry/core/point_type.hpp>
- #include <boost/geometry/core/ring_type.hpp>
- #include <boost/geometry/core/tags.hpp>
- #include <boost/geometry/core/visit.hpp>
- #include <boost/geometry/algorithms/detail/calculate_null.hpp>
- #include <boost/geometry/algorithms/detail/calculate_sum.hpp>
- // #include <boost/geometry/algorithms/detail/throw_on_empty_input.hpp>
- #include <boost/geometry/algorithms/detail/multi_sum.hpp>
- #include <boost/geometry/algorithms/detail/visit.hpp>
- #include <boost/geometry/algorithms/area_result.hpp>
- #include <boost/geometry/algorithms/default_area_result.hpp>
- #include <boost/geometry/geometries/adapted/boost_variant.hpp> // For backward compatibility
- #include <boost/geometry/geometries/concepts/check.hpp>
- #include <boost/geometry/strategies/area/services.hpp>
- #include <boost/geometry/strategies/area/cartesian.hpp>
- #include <boost/geometry/strategies/area/geographic.hpp>
- #include <boost/geometry/strategies/area/spherical.hpp>
- #include <boost/geometry/strategies/concepts/area_concept.hpp>
- #include <boost/geometry/strategies/default_strategy.hpp>
- #include <boost/geometry/views/detail/closed_clockwise_view.hpp>
- namespace boost { namespace geometry
- {
- #ifndef DOXYGEN_NO_DETAIL
- namespace detail { namespace area
- {
- struct box_area
- {
- template <typename Box, typename Strategies>
- static inline auto
- apply(Box const& box, Strategies const& strategies)
- {
- // Currently only works for 2D Cartesian boxes
- assert_dimension<Box, 2>();
- return strategies.area(box).apply(box);
- }
- };
- struct ring_area
- {
- template <typename Ring, typename Strategies>
- static inline typename area_result<Ring, Strategies>::type
- apply(Ring const& ring, Strategies const& strategies)
- {
- using strategy_type = decltype(strategies.area(ring));
- BOOST_CONCEPT_ASSERT( (geometry::concepts::AreaStrategy<Ring, strategy_type>) );
- assert_dimension<Ring, 2>();
- // Ignore warning (because using static method sometimes) on strategy
- boost::ignore_unused(strategies);
- // An open ring has at least three points,
- // A closed ring has at least four points,
- // if not, there is no (zero) area
- if (boost::size(ring) < detail::minimum_ring_size<Ring>::value)
- {
- return typename area_result<Ring, Strategies>::type();
- }
- detail::closed_clockwise_view<Ring const> const view(ring);
- auto it = boost::begin(view);
- auto const end = boost::end(view);
- strategy_type const strategy = strategies.area(ring);
- typename strategy_type::template state<Ring> state;
- for (auto previous = it++; it != end; ++previous, ++it)
- {
- strategy.apply(*previous, *it, state);
- }
- return strategy.result(state);
- }
- };
- }} // namespace detail::area
- #endif // DOXYGEN_NO_DETAIL
- #ifndef DOXYGEN_NO_DISPATCH
- namespace dispatch
- {
- template
- <
- typename Geometry,
- typename Tag = typename tag<Geometry>::type
- >
- struct area : detail::calculate_null
- {
- template <typename Strategy>
- static inline typename area_result<Geometry, Strategy>::type
- apply(Geometry const& geometry, Strategy const& strategy)
- {
- return calculate_null::apply
- <
- typename area_result<Geometry, Strategy>::type
- >(geometry, strategy);
- }
- };
- template <typename Geometry>
- struct area<Geometry, box_tag> : detail::area::box_area
- {};
- template <typename Ring>
- struct area<Ring, ring_tag>
- : detail::area::ring_area
- {};
- template <typename Polygon>
- struct area<Polygon, polygon_tag> : detail::calculate_polygon_sum
- {
- template <typename Strategy>
- static inline typename area_result<Polygon, Strategy>::type
- apply(Polygon const& polygon, Strategy const& strategy)
- {
- return calculate_polygon_sum::apply
- <
- typename area_result<Polygon, Strategy>::type,
- detail::area::ring_area
- >(polygon, strategy);
- }
- };
- template <typename MultiGeometry>
- struct area<MultiGeometry, multi_polygon_tag> : detail::multi_sum
- {
- template <typename Strategy>
- static inline typename area_result<MultiGeometry, Strategy>::type
- apply(MultiGeometry const& multi, Strategy const& strategy)
- {
- return multi_sum::apply
- <
- typename area_result<MultiGeometry, Strategy>::type,
- area<typename boost::range_value<MultiGeometry>::type>
- >(multi, strategy);
- }
- };
- } // namespace dispatch
- #endif // DOXYGEN_NO_DISPATCH
- namespace resolve_strategy
- {
- template
- <
- typename Strategy,
- bool IsUmbrella = strategies::detail::is_umbrella_strategy<Strategy>::value
- >
- struct area
- {
- template <typename Geometry>
- static inline typename area_result<Geometry, Strategy>::type
- apply(Geometry const& geometry, Strategy const& strategy)
- {
- return dispatch::area<Geometry>::apply(geometry, strategy);
- }
- };
- template <typename Strategy>
- struct area<Strategy, false>
- {
- template <typename Geometry>
- static auto apply(Geometry const& geometry, Strategy const& strategy)
- {
- using strategies::area::services::strategy_converter;
- return dispatch::area
- <
- Geometry
- >::apply(geometry, strategy_converter<Strategy>::get(strategy));
- }
- };
- template <>
- struct area<default_strategy, false>
- {
- template <typename Geometry>
- static inline typename area_result<Geometry>::type
- apply(Geometry const& geometry, default_strategy)
- {
- typedef typename strategies::area::services::default_strategy
- <
- Geometry
- >::type strategy_type;
- return dispatch::area<Geometry>::apply(geometry, strategy_type());
- }
- };
- } // namespace resolve_strategy
- namespace resolve_dynamic
- {
- template <typename Geometry, typename Tag = typename geometry::tag<Geometry>::type>
- struct area
- {
- template <typename Strategy>
- static inline typename area_result<Geometry, Strategy>::type
- apply(Geometry const& geometry, Strategy const& strategy)
- {
- return resolve_strategy::area<Strategy>::apply(geometry, strategy);
- }
- };
- template <typename Geometry>
- struct area<Geometry, dynamic_geometry_tag>
- {
- template <typename Strategy>
- static inline typename area_result<Geometry, Strategy>::type
- apply(Geometry const& geometry, Strategy const& strategy)
- {
- typename area_result<Geometry, Strategy>::type result = 0;
- traits::visit<Geometry>::apply([&](auto const& g)
- {
- result = area<util::remove_cref_t<decltype(g)>>::apply(g, strategy);
- }, geometry);
- return result;
- }
- };
- template <typename Geometry>
- struct area<Geometry, geometry_collection_tag>
- {
- template <typename Strategy>
- static inline typename area_result<Geometry, Strategy>::type
- apply(Geometry const& geometry, Strategy const& strategy)
- {
- typename area_result<Geometry, Strategy>::type result = 0;
- detail::visit_breadth_first([&](auto const& g)
- {
- result += area<util::remove_cref_t<decltype(g)>>::apply(g, strategy);
- return true;
- }, geometry);
- return result;
- }
- };
- } // namespace resolve_dynamic
- /*!
- \brief \brief_calc{area}
- \ingroup area
- \details \details_calc{area}. \details_default_strategy
- The area algorithm calculates the surface area of all geometries having a surface, namely
- box, polygon, ring, multipolygon. The units are the square of the units used for the points
- defining the surface. If subject geometry is defined in meters, then area is calculated
- in square meters.
- The area calculation can be done in all three common coordinate systems, Cartesian, Spherical
- and Geographic as well.
- \tparam Geometry \tparam_geometry
- \param geometry \param_geometry
- \return \return_calc{area}
- \qbk{[include reference/algorithms/area.qbk]}
- \qbk{[heading Examples]}
- \qbk{[area] [area_output]}
- */
- template <typename Geometry>
- inline typename area_result<Geometry>::type
- area(Geometry const& geometry)
- {
- concepts::check<Geometry const>();
- // detail::throw_on_empty_input(geometry);
- return resolve_dynamic::area<Geometry>::apply(geometry, default_strategy());
- }
- /*!
- \brief \brief_calc{area} \brief_strategy
- \ingroup area
- \details \details_calc{area} \brief_strategy. \details_strategy_reasons
- \tparam Geometry \tparam_geometry
- \tparam Strategy \tparam_strategy{Area}
- \param geometry \param_geometry
- \param strategy \param_strategy{area}
- \return \return_calc{area}
- \qbk{distinguish,with strategy}
- \qbk{
- [include reference/algorithms/area.qbk]
- [heading Available Strategies]
- \* [link geometry.reference.strategies.strategy_area_cartesian Cartesian]
- \* [link geometry.reference.strategies.strategy_area_spherical Spherical]
- \* [link geometry.reference.strategies.strategy_area_geographic Geographic]
- [heading Example]
- [area_with_strategy]
- [area_with_strategy_output]
- }
- */
- template <typename Geometry, typename Strategy>
- inline typename area_result<Geometry, Strategy>::type
- area(Geometry const& geometry, Strategy const& strategy)
- {
- concepts::check<Geometry const>();
- // detail::throw_on_empty_input(geometry);
- return resolve_dynamic::area<Geometry>::apply(geometry, strategy);
- }
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_ALGORITHMS_AREA_HPP
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