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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_SIMPLE_AREAL_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_SIMPLE_AREAL_HPP
+
+#include <boost/range.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/ring_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/algorithms/detail/check_iterator_range.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/has_duplicates.hpp>
+
+#include <boost/geometry/algorithms/dispatch/is_simple.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace is_simple
+{
+
+
+template <typename Ring>
+struct is_simple_ring
+{
+ static inline bool apply(Ring const& ring)
+ {
+ return
+ !detail::is_valid::has_duplicates
+ <
+ Ring, geometry::closure<Ring>::value
+ >::apply(ring);
+ }
+};
+
+
+template <typename Polygon>
+class is_simple_polygon
+{
+private:
+ template <typename InteriorRings>
+ static inline
+ bool are_simple_interior_rings(InteriorRings const& interior_rings)
+ {
+ return
+ detail::check_iterator_range
+ <
+ is_simple_ring
+ <
+ typename boost::range_value<InteriorRings>::type
+ >
+ >::apply(boost::begin(interior_rings),
+ boost::end(interior_rings));
+ }
+
+public:
+ static inline bool apply(Polygon const& polygon)
+ {
+ return
+ is_simple_ring
+ <
+ typename ring_type<Polygon>::type
+ >::apply(exterior_ring(polygon))
+ &&
+ are_simple_interior_rings(geometry::interior_rings(polygon));
+ }
+};
+
+
+}} // namespace detail::is_simple
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+// A Ring is a Polygon.
+// A Polygon is always a simple geometric object provided that it is valid.
+//
+// Reference (for polygon validity): OGC 06-103r4 (6.1.11.1)
+template <typename Ring>
+struct is_simple<Ring, ring_tag>
+ : detail::is_simple::is_simple_ring<Ring>
+{};
+
+
+// A Polygon is always a simple geometric object provided that it is valid.
+//
+// Reference (for validity of Polygons): OGC 06-103r4 (6.1.11.1)
+template <typename Polygon>
+struct is_simple<Polygon, polygon_tag>
+ : detail::is_simple::is_simple_polygon<Polygon>
+{};
+
+
+// Not clear what the definition is.
+// Right now we consider a MultiPolygon as simple if it is valid.
+//
+// Reference (for validity of MultiPolygons): OGC 06-103r4 (6.1.14)
+template <typename MultiPolygon>
+struct is_simple<MultiPolygon, multi_polygon_tag>
+{
+ static inline bool apply(MultiPolygon const& multipolygon)
+ {
+ return
+ detail::check_iterator_range
+ <
+ detail::is_simple::is_simple_polygon
+ <
+ typename boost::range_value<MultiPolygon>::type
+ >,
+ false // do not allow empty multi-polygon
+ >::apply(boost::begin(multipolygon), boost::end(multipolygon));
+ }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_SIMPLE_AREAL_HPP