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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2014, Oracle and/or its affiliates.
+
+// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
+
+// Licensed under the Boost Software License version 1.0.
+// http://www.boost.org/users/license.html
+
+#ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_VALID_RING_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_VALID_RING_HPP
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/point_order.hpp>
+
+#include <boost/geometry/util/order_as_direction.hpp>
+#include <boost/geometry/util/range.hpp>
+
+#include <boost/geometry/algorithms/equals.hpp>
+
+#include <boost/geometry/views/reversible_view.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/intersects.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/has_spikes.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/has_duplicates.hpp>
+
+#include <boost/geometry/strategies/area.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace is_valid
+{
+
+
+// struct to check whether a ring is topologically closed
+template <typename Ring, closure_selector Closure /* open */>
+struct is_topologically_closed
+{
+ static inline bool apply(Ring const&)
+ {
+ return true;
+ }
+};
+
+template <typename Ring>
+struct is_topologically_closed<Ring, closed>
+{
+ static inline bool apply(Ring const& ring)
+ {
+ return geometry::equals(range::front(ring), range::back(ring));
+ }
+};
+
+
+
+template <typename ResultType, bool IsInteriorRing /* false */>
+struct ring_area_predicate
+{
+ typedef std::greater<ResultType> type;
+};
+
+template <typename ResultType>
+struct ring_area_predicate<ResultType, true>
+{
+ typedef std::less<ResultType> type;
+};
+
+
+
+template <typename Ring, bool IsInteriorRing>
+struct is_properly_oriented
+{
+ typedef typename point_type<Ring>::type point_type;
+
+ typedef typename strategy::area::services::default_strategy
+ <
+ typename cs_tag<point_type>::type,
+ point_type
+ >::type strategy_type;
+
+ typedef detail::area::ring_area
+ <
+ order_as_direction<geometry::point_order<Ring>::value>::value,
+ geometry::closure<Ring>::value
+ > ring_area_type;
+
+ typedef typename default_area_result<Ring>::type area_result_type;
+
+ static inline bool apply(Ring const& ring)
+ {
+ typename ring_area_predicate
+ <
+ area_result_type, IsInteriorRing
+ >::type predicate;
+
+ // Check area
+ area_result_type const zero = area_result_type();
+ return predicate(ring_area_type::apply(ring, strategy_type()), zero);
+ }
+};
+
+
+
+template
+<
+ typename Ring,
+ bool AllowDuplicates,
+ bool CheckSelfIntersections = true,
+ bool IsInteriorRing = false
+>
+struct is_valid_ring
+{
+ static inline bool apply(Ring const& ring)
+ {
+ // return invalid if any of the following condition holds:
+ // (a) the ring's size is below the minimal one
+ // (b) the ring is not topologically closed
+ // (c) the ring has spikes
+ // (d) the ring has duplicate points (if AllowDuplicates is false)
+ // (e) the boundary of the ring has self-intersections
+ // (f) the order of the points is inconsistent with the defined order
+ //
+ // Note: no need to check if the area is zero. If this is the
+ // case, then the ring must have at least two spikes, which is
+ // checked by condition (c).
+
+ closure_selector const closure = geometry::closure<Ring>::value;
+
+ return
+ ( boost::size(ring)
+ >= core_detail::closure::minimum_ring_size<closure>::value )
+ && is_topologically_closed<Ring, closure>::apply(ring)
+ && (AllowDuplicates || !has_duplicates<Ring, closure>::apply(ring))
+ && !has_spikes<Ring, closure>::apply(ring)
+ && !(CheckSelfIntersections && geometry::intersects(ring))
+ && is_properly_oriented<Ring, IsInteriorRing>::apply(ring);
+ }
+};
+
+
+}} // namespace dispatch
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// A Ring is a Polygon with exterior boundary only.
+// The Ring's boundary must be a LinearRing (see OGC 06-103-r4,
+// 6.1.7.1, for the definition of LinearRing)
+//
+// Reference (for polygon validity): OGC 06-103r4 (6.1.11.1)
+template <typename Ring, bool AllowSpikes, bool AllowDuplicates>
+struct is_valid<Ring, ring_tag, AllowSpikes, AllowDuplicates>
+ : detail::is_valid::is_valid_ring<Ring, AllowDuplicates>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_VALID_RING_HPP