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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_LINEAR_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_SIMPLE_LINEAR_HPP
+
+#include <algorithm>
+#include <deque>
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/util/range.hpp>
+
+#include <boost/geometry/policies/predicate_based_interrupt_policy.hpp>
+#include <boost/geometry/policies/robustness/no_rescale_policy.hpp>
+#include <boost/geometry/policies/robustness/segment_ratio.hpp>
+
+#include <boost/geometry/algorithms/equals.hpp>
+#include <boost/geometry/algorithms/intersects.hpp>
+
+#include <boost/geometry/algorithms/detail/check_iterator_range.hpp>
+
+#include <boost/geometry/algorithms/detail/disjoint/linear_linear.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turn_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/self_turn_points.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/has_duplicates.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/has_spikes.hpp>
+
+#include <boost/geometry/algorithms/detail/is_simple/debug_print_boundary_points.hpp>
+#include <boost/geometry/algorithms/detail/is_valid/debug_print_turns.hpp>
+
+#include <boost/geometry/algorithms/dispatch/is_simple.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace is_simple
+{
+
+
+template <typename Linestring, bool CheckSelfIntersections = true>
+struct is_simple_linestring
+{
+ static inline bool apply(Linestring const& linestring)
+ {
+ return !detail::is_valid::has_duplicates
+ <
+ Linestring, closed
+ >::apply(linestring)
+ && !detail::is_valid::has_spikes
+ <
+ Linestring, closed
+ >::apply(linestring)
+ && !(CheckSelfIntersections && geometry::intersects(linestring));
+ }
+};
+
+
+
+template <typename MultiLinestring>
+class is_simple_multilinestring
+{
+private:
+ class is_acceptable_turn
+ {
+ private:
+ template <typename Point, typename Linestring>
+ static inline bool is_boundary_point_of(Point const& point,
+ Linestring const& linestring)
+ {
+ BOOST_ASSERT( boost::size(linestring) > 1 );
+ return
+ !geometry::equals(range::front(linestring),
+ range::back(linestring))
+ &&
+ ( geometry::equals(point, range::front(linestring))
+ || geometry::equals(point, range::back(linestring)) );
+ }
+
+ template <typename Linestring1, typename Linestring2>
+ static inline bool have_same_boundary_points(Linestring1 const& ls1,
+ Linestring2 const& ls2)
+ {
+ return
+ geometry::equals(range::front(ls1), range::front(ls2))
+ ?
+ geometry::equals(range::back(ls1), range::back(ls2))
+ :
+ (geometry::equals(range::front(ls1), range::back(ls2))
+ &&
+ geometry::equals(range::back(ls1), range::front(ls2))
+ )
+ ;
+ }
+
+ public:
+ is_acceptable_turn(MultiLinestring const& multilinestring)
+ : m_multilinestring(multilinestring)
+ {}
+
+ template <typename Turn>
+ inline bool apply(Turn const& turn) const
+ {
+ typedef typename boost::range_value
+ <
+ MultiLinestring
+ >::type linestring;
+
+ linestring const& ls1 =
+ range::at(m_multilinestring,
+ turn.operations[0].seg_id.multi_index);
+
+ linestring const& ls2 =
+ range::at(m_multilinestring,
+ turn.operations[1].seg_id.multi_index);
+
+ return
+ is_boundary_point_of(turn.point, ls1)
+ && is_boundary_point_of(turn.point, ls2)
+ &&
+ ( boost::size(ls1) != 2
+ || boost::size(ls2) != 2
+ || !have_same_boundary_points(ls1, ls2) );
+ }
+
+ private:
+ MultiLinestring const& m_multilinestring;
+ };
+
+
+public:
+ static inline bool apply(MultiLinestring const& multilinestring)
+ {
+ typedef typename boost::range_value<MultiLinestring>::type linestring;
+ typedef typename point_type<MultiLinestring>::type point_type;
+ typedef point_type point;
+
+
+ // check each of the linestrings for simplicity
+ if ( !detail::check_iterator_range
+ <
+ is_simple_linestring<linestring>,
+ false // do not allow empty multilinestring
+ >::apply(boost::begin(multilinestring),
+ boost::end(multilinestring))
+ )
+ {
+ return false;
+ }
+
+
+ // compute self turns
+ typedef detail::overlay::turn_info
+ <
+ point_type,
+ geometry::segment_ratio
+ <
+ typename geometry::coordinate_type<point>::type
+ >
+ > turn_info;
+
+ std::deque<turn_info> turns;
+
+ typedef detail::overlay::get_turn_info
+ <
+ detail::disjoint::assign_disjoint_policy
+ > turn_policy;
+
+ is_acceptable_turn predicate(multilinestring);
+ detail::overlay::predicate_based_interrupt_policy
+ <
+ is_acceptable_turn
+ > interrupt_policy(predicate);
+
+ detail::self_get_turn_points::get_turns
+ <
+ turn_policy
+ >::apply(multilinestring,
+ detail::no_rescale_policy(),
+ turns,
+ interrupt_policy);
+
+ detail::is_valid::debug_print_turns(turns.begin(), turns.end());
+ debug_print_boundary_points(multilinestring);
+
+ return !interrupt_policy.has_intersections;
+ }
+
+};
+
+
+
+}} // namespace detail::is_simple
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// A linestring is a curve.
+// A curve is simple if it does not pass through the same point twice,
+// with the possible exception of its two endpoints
+//
+// Reference: OGC 06-103r4 (6.1.6.1)
+template <typename Linestring>
+struct is_simple<Linestring, linestring_tag>
+ : detail::is_simple::is_simple_linestring<Linestring>
+{};
+
+
+// A MultiLinestring is a MultiCurve
+// A MultiCurve is simple if all of its elements are simple and the
+// only intersections between any two elements occur at Points that
+// are on the boundaries of both elements.
+//
+// Reference: OGC 06-103r4 (6.1.8.1; Fig. 9)
+template <typename MultiLinestring>
+struct is_simple<MultiLinestring, multi_linestring_tag>
+ : detail::is_simple::is_simple_multilinestring<MultiLinestring>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_IS_SIMPLE_LINEAR_HPP