Added boost header

test/external/boost/geometry/algorithms/append.hpp

@@ -0,0 +1,230 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_APPEND_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_APPEND_HPP
+
+#include <boost/range.hpp>
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/algorithms/num_interior_rings.hpp>
+#include <boost/geometry/algorithms/detail/convert_point_to_point.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace append
+{
+
+template <typename Geometry, typename Point>
+struct append_no_action
+{
+    static inline void apply(Geometry& geometry, Point const& point,
+                int = 0, int = 0)
+    {
+    }
+};
+
+template <typename Geometry, typename Point>
+struct append_point
+{
+    static inline void apply(Geometry& geometry, Point const& point,
+                int = 0, int = 0)
+    {
+        typename geometry::point_type<Geometry>::type copy;
+        geometry::detail::conversion::convert_point_to_point(point, copy);
+        traits::push_back<Geometry>::apply(geometry, copy);
+    }
+};
+
+
+template <typename Geometry, typename Range>
+struct append_range
+{
+    typedef typename boost::range_value<Range>::type point_type;
+
+    static inline void apply(Geometry& geometry, Range const& range,
+                int = 0, int = 0)
+    {
+        for (typename boost::range_iterator<Range const>::type
+            it = boost::begin(range);
+             it != boost::end(range);
+             ++it)
+        {
+            append_point<Geometry, point_type>::apply(geometry, *it);
+        }
+    }
+};
+
+
+template <typename Polygon, typename Point>
+struct point_to_polygon
+{
+    typedef typename ring_type<Polygon>::type ring_type;
+
+    static inline void apply(Polygon& polygon, Point const& point,
+                int ring_index, int = 0)
+    {
+        if (ring_index == -1)
+        {
+            append_point<ring_type, Point>::apply(
+                        exterior_ring(polygon), point);
+        }
+        else if (ring_index < int(num_interior_rings(polygon)))
+        {
+            append_point<ring_type, Point>::apply(
+                        interior_rings(polygon)[ring_index], point);
+        }
+    }
+};
+
+
+template <typename Polygon, typename Range>
+struct range_to_polygon
+{
+    typedef typename ring_type<Polygon>::type ring_type;
+
+    static inline void apply(Polygon& polygon, Range const& range,
+                int ring_index, int )
+    {
+        if (ring_index == -1)
+        {
+            append_range<ring_type, Range>::apply(
+                        exterior_ring(polygon), range);
+        }
+        else if (ring_index < int(num_interior_rings(polygon)))
+        {
+            append_range<ring_type, Range>::apply(
+                        interior_rings(polygon)[ring_index], range);
+        }
+    }
+};
+
+
+}} // namespace detail::append
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+namespace splitted_dispatch
+{
+
+template <typename Tag, typename Geometry, typename Point>
+struct append_point
+    : detail::append::append_no_action<Geometry, Point>
+{};
+
+template <typename Geometry, typename Point>
+struct append_point<linestring_tag, Geometry, Point>
+    : detail::append::append_point<Geometry, Point>
+{};
+
+template <typename Geometry, typename Point>
+struct append_point<ring_tag, Geometry, Point>
+    : detail::append::append_point<Geometry, Point>
+{};
+
+
+template <typename Polygon, typename Point>
+struct append_point<polygon_tag, Polygon, Point>
+        : detail::append::point_to_polygon<Polygon, Point>
+{};
+
+
+template <typename Tag, typename Geometry, typename Range>
+struct append_range
+    : detail::append::append_no_action<Geometry, Range>
+{};
+
+template <typename Geometry, typename Range>
+struct append_range<linestring_tag, Geometry, Range>
+    : detail::append::append_range<Geometry, Range>
+{};
+
+template <typename Geometry, typename Range>
+struct append_range<ring_tag, Geometry, Range>
+    : detail::append::append_range<Geometry, Range>
+{};
+
+
+template <typename Polygon, typename Range>
+struct append_range<polygon_tag, Polygon, Range>
+        : detail::append::range_to_polygon<Polygon, Range>
+{};
+
+}
+
+
+// Default: append a range (or linestring or ring or whatever) to any geometry
+template <typename TagRangeOrPoint, typename Geometry, typename RangeOrPoint>
+struct append
+    : splitted_dispatch::append_range<typename tag<Geometry>::type, Geometry, RangeOrPoint>
+{};
+
+// Specialization for point to append a point to any geometry
+template <typename Geometry, typename RangeOrPoint>
+struct append<point_tag, Geometry, RangeOrPoint>
+    : splitted_dispatch::append_point<typename tag<Geometry>::type, Geometry, RangeOrPoint>
+{};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Appends one or more points to a linestring, ring, polygon, multi-geometry
+\ingroup append
+\tparam Geometry \tparam_geometry
+\tparam RangeOrPoint Either a range or a point, fullfilling Boost.Range concept or Boost.Geometry Point Concept
+\param geometry \param_geometry
+\param range_or_point The point or range to add
+\param ring_index The index of the ring in case of a polygon:
+    exterior ring (-1, the default) or  interior ring index
+\param multi_index Reserved for multi polygons or multi linestrings
+
+\qbk{[include reference/algorithms/append.qbk]}
+}
+ */
+template <typename Geometry, typename RangeOrPoint>
+inline void append(Geometry& geometry, RangeOrPoint const& range_or_point,
+            int ring_index = -1, int multi_index = 0)
+{
+    concept::check<Geometry>();
+
+    dispatch::append
+        <
+            typename tag<RangeOrPoint>::type,
+            Geometry,
+            RangeOrPoint
+        >::apply(geometry, range_or_point, ring_index, multi_index);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_APPEND_HPP

test/external/boost/geometry/algorithms/area.hpp

@@ -0,0 +1,287 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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/concept_check.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/range/functions.hpp>
+#include <boost/range/metafunctions.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/ring_type.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/detail/calculate_null.hpp>
+#include <boost/geometry/algorithms/detail/calculate_sum.hpp>
+
+#include <boost/geometry/strategies/area.hpp>
+#include <boost/geometry/strategies/default_area_result.hpp>
+
+#include <boost/geometry/strategies/concepts/area_concept.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/order_as_direction.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace area
+{
+
+template<typename Box, typename Strategy>
+struct box_area
+{
+    typedef typename coordinate_type<Box>::type return_type;
+
+    static inline return_type apply(Box const& box, Strategy const&)
+    {
+        // Currently only works for 2D Cartesian boxes
+        assert_dimension<Box, 2>();
+
+        return_type const dx = get<max_corner, 0>(box)
+                - get<min_corner, 0>(box);
+        return_type const dy = get<max_corner, 1>(box)
+                - get<min_corner, 1>(box);
+
+        return dx * dy;
+    }
+};
+
+
+template
+<
+    typename Ring,
+    iterate_direction Direction,
+    closure_selector Closure,
+    typename Strategy
+>
+struct ring_area
+{
+    BOOST_CONCEPT_ASSERT( (geometry::concept::AreaStrategy<Strategy>) );
+
+    typedef typename Strategy::return_type type;
+
+    static inline type apply(Ring const& ring, Strategy const& strategy)
+    {
+        assert_dimension<Ring, 2>();
+
+        // Ignore warning (because using static method sometimes) on strategy
+        boost::ignore_unused_variable_warning(strategy);
+
+        // 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)
+                < core_detail::closure::minimum_ring_size<Closure>::value)
+        {
+            return type();
+        }
+
+        typedef typename reversible_view<Ring const, Direction>::type rview_type;
+        typedef typename closeable_view
+            <
+                rview_type const, Closure
+            >::type view_type;
+        typedef typename boost::range_iterator<view_type const>::type iterator_type;
+
+        rview_type rview(ring);
+        view_type view(rview);
+        typename Strategy::state_type state;
+        iterator_type it = boost::begin(view);
+        iterator_type end = boost::end(view);
+
+        for (iterator_type 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 Tag,
+    typename Geometry,
+    typename Strategy
+>
+struct area
+    : detail::calculate_null
+        <
+            typename Strategy::return_type,
+            Geometry,
+            Strategy
+        > {};
+
+
+template
+<
+    typename Geometry,
+    typename Strategy
+>
+struct area<box_tag, Geometry, Strategy>
+    : detail::area::box_area<Geometry, Strategy>
+{};
+
+
+template
+<
+    typename Ring,
+    typename Strategy
+>
+struct area<ring_tag, Ring, Strategy>
+    : detail::area::ring_area
+        <
+            Ring,
+            order_as_direction<geometry::point_order<Ring>::value>::value,
+            geometry::closure<Ring>::value,
+            Strategy
+        >
+{};
+
+
+template
+<
+    typename Polygon,
+    typename Strategy
+>
+struct area<polygon_tag, Polygon, Strategy>
+    : detail::calculate_polygon_sum
+        <
+            typename Strategy::return_type,
+            Polygon,
+            Strategy,
+            detail::area::ring_area
+                <
+                    typename ring_type<Polygon const>::type,
+                    order_as_direction<geometry::point_order<Polygon>::value>::value,
+                    geometry::closure<Polygon>::value,
+                    Strategy
+                >
+        >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+/*!
+\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 default_area_result<Geometry>::type area(Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+    typedef typename point_type<Geometry>::type point_type;
+    typedef typename strategy::area::services::default_strategy
+        <
+            typename cs_tag<point_type>::type,
+            point_type
+        >::type strategy_type;
+
+    return dispatch::area
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            strategy_type
+        >::apply(geometry, strategy_type());
+}
+
+/*!
+\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 Example]
+[area_with_strategy]
+[area_with_strategy_output]
+
+[heading Available Strategies]
+\* [link geometry.reference.strategies.strategy_area_surveyor Surveyor (cartesian)]
+\* [link geometry.reference.strategies.strategy_area_huiller Huiller (spherical)]
+}
+ */
+template <typename Geometry, typename Strategy>
+inline typename Strategy::return_type area(
+        Geometry const& geometry, Strategy const& strategy)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::area
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Strategy
+        >::apply(geometry, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_AREA_HPP

test/external/boost/geometry/algorithms/assign.hpp

@@ -0,0 +1,182 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_ASSIGN_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_ASSIGN_HPP
+
+
+#include <cstddef>
+
+#include <boost/concept/requires.hpp>
+#include <boost/concept_check.hpp>
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/numeric/conversion/bounds.hpp>
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/algorithms/detail/assign_box_corners.hpp>
+#include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+#include <boost/geometry/util/for_each_coordinate.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Assign a range of points to a linestring, ring or polygon
+\note The point-type of the range might be different from the point-type of the geometry
+\ingroup assign
+\tparam Geometry \tparam_geometry
+\tparam Range \tparam_range_point
+\param geometry \param_geometry
+\param range \param_range_point
+
+\qbk{
+[heading Notes]
+[note Assign automatically clears the geometry before assigning (use append if you don't want that)]
+[heading Example]
+[assign_points] [assign_points_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.append append]
+}
+ */
+template <typename Geometry, typename Range>
+inline void assign_points(Geometry& geometry, Range const& range)
+{
+    concept::check<Geometry>();
+
+    clear(geometry);
+    geometry::append(geometry, range, -1, 0);
+}
+
+
+/*!
+\brief assign to a box inverse infinite
+\details The assign_inverse function initialize a 2D or 3D box with large coordinates, the
+min corner is very large, the max corner is very small. This is a convenient starting point to
+collect the minimum bounding box of a geometry.
+\ingroup assign
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+
+\qbk{
+[heading Example]
+[assign_inverse] [assign_inverse_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.make.make_inverse make_inverse]
+}
+ */
+template <typename Geometry>
+inline void assign_inverse(Geometry& geometry)
+{
+    concept::check<Geometry>();
+
+    dispatch::assign_inverse
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+}
+
+/*!
+\brief assign zero values to a box, point
+\ingroup assign
+\details The assign_zero function initializes a 2D or 3D point or box with coordinates of zero
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+
+ */
+template <typename Geometry>
+inline void assign_zero(Geometry& geometry)
+{
+    concept::check<Geometry>();
+
+    dispatch::assign_zero
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+}
+
+/*!
+\brief Assigns one geometry to another geometry
+\details The assign algorithm assigns one geometry, e.g. a BOX, to another geometry, e.g. a RING. This only
+if it is possible and applicable.
+\ingroup assign
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry (target)
+\param geometry2 \param_geometry (source)
+
+\qbk{
+[heading Example]
+[assign] [assign_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.convert convert]
+}
+ */
+template <typename Geometry1, typename Geometry2>
+inline void assign(Geometry1& geometry1, Geometry2 const& geometry2)
+{
+    concept::check_concepts_and_equal_dimensions<Geometry1, Geometry2 const>();
+
+    bool const same_point_order = 
+            point_order<Geometry1>::value == point_order<Geometry2>::value;
+    bool const same_closure = 
+            closure<Geometry1>::value == closure<Geometry2>::value;
+
+    BOOST_MPL_ASSERT_MSG
+        (
+            same_point_order, ASSIGN_IS_NOT_SUPPORTED_FOR_DIFFERENT_POINT_ORDER
+            , (types<Geometry1, Geometry2>)
+        );
+    BOOST_MPL_ASSERT_MSG
+        (
+            same_closure, ASSIGN_IS_NOT_SUPPORTED_FOR_DIFFERENT_CLOSURE
+            , (types<Geometry1, Geometry2>)
+        );
+
+    dispatch::convert
+        <
+            false,
+            typename tag<Geometry2>::type,
+            typename tag<Geometry1>::type,
+            dimension<Geometry1>::type::value,
+            Geometry2,
+            Geometry1
+        >::apply(geometry2, geometry1);
+}
+
+
+}} // namespace boost::geometry
+
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_ASSIGN_HPP

test/external/boost/geometry/algorithms/buffer.hpp

@@ -0,0 +1,167 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_BUFFER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_BUFFER_HPP
+
+#include <cstddef>
+
+#include <boost/numeric/conversion/cast.hpp>
+
+
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace buffer
+{
+
+template <typename BoxIn, typename BoxOut, typename T, std::size_t C, std::size_t D, std::size_t N>
+struct box_loop
+{
+    typedef typename coordinate_type<BoxOut>::type coordinate_type;
+
+    static inline void apply(BoxIn const& box_in, T const& distance, BoxOut& box_out)
+    {
+        coordinate_type d = distance;
+        set<C, D>(box_out, get<C, D>(box_in) + d);
+        box_loop<BoxIn, BoxOut, T, C, D + 1, N>::apply(box_in, distance, box_out);
+    }
+};
+
+template <typename BoxIn, typename BoxOut, typename T, std::size_t C, std::size_t N>
+struct box_loop<BoxIn, BoxOut, T, C, N, N>
+{
+    static inline void apply(BoxIn const&, T const&, BoxOut&) {}
+};
+
+// Extends a box with the same amount in all directions
+template<typename BoxIn, typename BoxOut, typename T>
+inline void buffer_box(BoxIn const& box_in, T const& distance, BoxOut& box_out)
+{
+    assert_dimension_equal<BoxIn, BoxOut>();
+
+    static const std::size_t N = dimension<BoxIn>::value;
+
+    box_loop<BoxIn, BoxOut, T, min_corner, 0, N>::apply(box_in, -distance, box_out);
+    box_loop<BoxIn, BoxOut, T, max_corner, 0, N>::apply(box_in, distance, box_out);
+}
+
+
+
+}} // namespace detail::buffer
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename TagIn, typename TagOut, typename Input, typename T, typename Output>
+struct buffer {};
+
+
+template <typename BoxIn, typename T, typename BoxOut>
+struct buffer<box_tag, box_tag, BoxIn, T, BoxOut>
+{
+    static inline void apply(BoxIn const& box_in, T const& distance,
+                T const& chord_length, BoxIn& box_out)
+    {
+        detail::buffer::buffer_box(box_in, distance, box_out);
+    }
+};
+
+// Many things to do. Point is easy, other geometries require self intersections
+// For point, note that it should output as a polygon (like the rest). Buffers
+// of a set of geometries are often lateron combined using a "dissolve" operation.
+// Two points close to each other get a combined kidney shaped buffer then.
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_calc{buffer}
+\ingroup buffer
+\details \details_calc{buffer, \det_buffer}.
+\tparam Input \tparam_geometry
+\tparam Output \tparam_geometry
+\tparam Distance \tparam_numeric
+\param geometry_in \param_geometry
+\param geometry_out \param_geometry
+\param distance The distance to be used for the buffer
+\param chord_length (optional) The length of the chord's in the generated arcs around points or bends
+\note Currently only implemented for box, the trivial case, but still useful
+
+\qbk{[include reference/algorithms/buffer.qbk]}
+ */
+template <typename Input, typename Output, typename Distance>
+inline void buffer(Input const& geometry_in, Output& geometry_out,
+            Distance const& distance, Distance const& chord_length = -1)
+{
+    concept::check<Input const>();
+    concept::check<Output>();
+
+    dispatch::buffer
+        <
+            typename tag<Input>::type,
+            typename tag<Output>::type,
+            Input,
+            Distance,
+            Output
+        >::apply(geometry_in, distance, chord_length, geometry_out);
+}
+
+/*!
+\brief \brief_calc{buffer}
+\ingroup buffer
+\details \details_calc{return_buffer, \det_buffer}. \details_return{buffer}.
+\tparam Input \tparam_geometry
+\tparam Output \tparam_geometry
+\tparam Distance \tparam_numeric
+\param geometry \param_geometry
+\param distance The distance to be used for the buffer
+\param chord_length (optional) The length of the chord's in the generated arcs around points or bends
+\return \return_calc{buffer}
+ */
+template <typename Output, typename Input, typename T>
+Output return_buffer(Input const& geometry, T const& distance, T const& chord_length = -1)
+{
+    concept::check<Input const>();
+    concept::check<Output>();
+
+    Output geometry_out;
+
+    dispatch::buffer
+        <
+            typename tag<Input>::type,
+            typename tag<Output>::type,
+            Input,
+            T,
+            Output
+        >::apply(geometry, distance, chord_length, geometry_out);
+
+    return geometry_out;
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_BUFFER_HPP

test/external/boost/geometry/algorithms/centroid.hpp

@@ -0,0 +1,470 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_CENTROID_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_CENTROID_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/exception.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/distance.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/strategies/centroid.hpp>
+#include <boost/geometry/strategies/concepts/centroid_concept.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+
+#include <boost/geometry/util/for_each_coordinate.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#if ! defined(BOOST_GEOMETRY_CENTROID_NO_THROW)
+
+/*!
+\brief Centroid Exception
+\ingroup centroid
+\details The centroid_exception is thrown if the free centroid function is called with
+    geometries for which the centroid cannot be calculated. For example: a linestring
+    without points, a polygon without points, an empty multi-geometry.
+\qbk{
+[heading See also]
+\* [link geometry.reference.algorithms.centroid the centroid function]
+}
+
+ */
+class centroid_exception : public geometry::exception
+{
+public:
+
+    inline centroid_exception() {}
+
+    virtual char const* what() const throw()
+    {
+        return "Boost.Geometry Centroid calculation exception";
+    }
+};
+
+#endif
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace centroid
+{
+
+template<typename Point, typename PointCentroid, typename Strategy>
+struct centroid_point
+{
+    static inline void apply(Point const& point, PointCentroid& centroid,
+            Strategy const&)
+    {
+        geometry::convert(point, centroid);
+    }
+};
+
+template
+<
+    typename Box,
+    typename Point,
+    std::size_t Dimension,
+    std::size_t DimensionCount
+>
+struct centroid_box_calculator
+{
+    typedef typename select_coordinate_type
+        <
+            Box, Point
+        >::type coordinate_type;
+    static inline void apply(Box const& box, Point& centroid)
+    {
+        coordinate_type const c1 = get<min_corner, Dimension>(box);
+        coordinate_type const c2 = get<max_corner, Dimension>(box);
+        coordinate_type m = c1 + c2;
+        m /= 2.0;
+
+        set<Dimension>(centroid, m);
+
+        centroid_box_calculator
+            <
+                Box, Point,
+                Dimension + 1, DimensionCount
+            >::apply(box, centroid);
+    }
+};
+
+
+template<typename Box, typename Point, std::size_t DimensionCount>
+struct centroid_box_calculator<Box, Point, DimensionCount, DimensionCount>
+{
+    static inline void apply(Box const& , Point& )
+    {
+    }
+};
+
+
+template<typename Box, typename Point, typename Strategy>
+struct centroid_box
+{
+    static inline void apply(Box const& box, Point& centroid,
+            Strategy const&)
+    {
+        centroid_box_calculator
+            <
+                Box, Point,
+                0, dimension<Box>::type::value
+            >::apply(box, centroid);
+    }
+};
+
+
+// There is one thing where centroid is different from e.g. within.
+// If the ring has only one point, it might make sense that
+// that point is the centroid.
+template<typename Point, typename Range>
+inline bool range_ok(Range const& range, Point& centroid)
+{
+    std::size_t const n = boost::size(range);
+    if (n > 1)
+    {
+        return true;
+    }
+    else if (n <= 0)
+    {
+#if ! defined(BOOST_GEOMETRY_CENTROID_NO_THROW)
+        throw centroid_exception();
+#endif
+        return false;
+    }
+    else // if (n == 1)
+    {
+        // Take over the first point in a "coordinate neutral way"
+        geometry::convert(*boost::begin(range), centroid);
+        return false;
+    }
+    return true;
+}
+
+
+/*!
+    \brief Calculate the centroid of a ring.
+*/
+template<typename Ring, closure_selector Closure, typename Strategy>
+struct centroid_range_state
+{
+    static inline void apply(Ring const& ring,
+            Strategy const& strategy, typename Strategy::state_type& state)
+    {
+        typedef typename closeable_view<Ring const, Closure>::type view_type;
+
+        typedef typename boost::range_iterator<view_type const>::type iterator_type;
+
+        view_type view(ring);
+        iterator_type it = boost::begin(view);
+        iterator_type end = boost::end(view);
+
+        for (iterator_type previous = it++;
+            it != end;
+            ++previous, ++it)
+        {
+            Strategy::apply(*previous, *it, state);
+        }
+    }
+};
+
+template<typename Range, typename Point, closure_selector Closure, typename Strategy>
+struct centroid_range
+{
+    static inline void apply(Range const& range, Point& centroid,
+            Strategy const& strategy)
+    {
+        if (range_ok(range, centroid))
+        {
+            typename Strategy::state_type state;
+            centroid_range_state
+                <
+                    Range,
+                    Closure,
+                    Strategy
+                >::apply(range, strategy, state);
+            Strategy::result(state, centroid);
+        }
+    }
+};
+
+
+/*!
+    \brief Centroid of a polygon.
+    \note Because outer ring is clockwise, inners are counter clockwise,
+    triangle approach is OK and works for polygons with rings.
+*/
+template<typename Polygon, typename Strategy>
+struct centroid_polygon_state
+{
+    typedef typename ring_type<Polygon>::type ring_type;
+
+    static inline void apply(Polygon const& poly,
+            Strategy const& strategy, typename Strategy::state_type& state)
+    {
+        typedef centroid_range_state
+            <
+                ring_type,
+                geometry::closure<ring_type>::value,
+                Strategy
+            > per_ring;
+
+        per_ring::apply(exterior_ring(poly), strategy, state);
+
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            per_ring::apply(*it, strategy, state);
+        }
+    }
+};
+
+template<typename Polygon, typename Point, typename Strategy>
+struct centroid_polygon
+{
+    static inline void apply(Polygon const& poly, Point& centroid,
+            Strategy const& strategy)
+    {
+        if (range_ok(exterior_ring(poly), centroid))
+        {
+            typename Strategy::state_type state;
+            centroid_polygon_state
+                <
+                    Polygon,
+                    Strategy
+                >::apply(poly, strategy, state);
+            Strategy::result(state, centroid);
+        }
+    }
+};
+
+
+}} // namespace detail::centroid
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename Point,
+    typename Strategy
+>
+struct centroid {};
+
+template
+<
+    typename Geometry,
+    typename Point,
+    typename Strategy
+>
+struct centroid<point_tag, Geometry, Point, Strategy>
+    : detail::centroid::centroid_point<Geometry, Point, Strategy>
+{};
+
+template
+<
+    typename Box,
+    typename Point,
+    typename Strategy
+>
+struct centroid<box_tag, Box, Point, Strategy>
+    : detail::centroid::centroid_box<Box, Point, Strategy>
+{};
+
+template <typename Ring, typename Point, typename Strategy>
+struct centroid<ring_tag, Ring, Point, Strategy>
+    : detail::centroid::centroid_range
+        <
+            Ring,
+            Point,
+            geometry::closure<Ring>::value,
+            Strategy
+        >
+{};
+
+template <typename Linestring, typename Point, typename Strategy>
+struct centroid<linestring_tag, Linestring, Point, Strategy>
+    : detail::centroid::centroid_range
+        <
+            Linestring,
+            Point,
+            closed,
+            Strategy
+        >
+ {};
+
+template <typename Polygon, typename Point, typename Strategy>
+struct centroid<polygon_tag, Polygon, Point, Strategy>
+    : detail::centroid::centroid_polygon<Polygon, Point, Strategy>
+ {};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_calc{centroid} \brief_strategy
+\ingroup centroid
+\details \details_calc{centroid,geometric center (or: center of mass)}. \details_strategy_reasons
+\tparam Geometry \tparam_geometry
+\tparam Point \tparam_point
+\tparam Strategy \tparam_strategy{Centroid}
+\param geometry \param_geometry
+\param c \param_point \param_set{centroid}
+\param strategy \param_strategy{centroid}
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/centroid.qbk]}
+\qbk{[include reference/algorithms/centroid_strategies.qbk]}
+}
+
+*/
+template<typename Geometry, typename Point, typename Strategy>
+inline void centroid(Geometry const& geometry, Point& c,
+        Strategy const& strategy)
+{
+    //BOOST_CONCEPT_ASSERT( (geometry::concept::CentroidStrategy<Strategy>) );
+
+    concept::check_concepts_and_equal_dimensions<Point, Geometry const>();
+
+    typedef typename point_type<Geometry>::type point_type;
+
+    // Call dispatch apply method. That one returns true if centroid
+    // should be taken from state.
+    dispatch::centroid
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Point,
+            Strategy
+        >::apply(geometry, c, strategy);
+}
+
+
+/*!
+\brief \brief_calc{centroid}
+\ingroup centroid
+\details \details_calc{centroid,geometric center (or: center of mass)}. \details_default_strategy
+\tparam Geometry \tparam_geometry
+\tparam Point \tparam_point
+\param geometry \param_geometry
+\param c The calculated centroid will be assigned to this point reference
+
+\qbk{[include reference/algorithms/centroid.qbk]}
+\qbk{
+[heading Example]
+[centroid]
+[centroid_output]
+}
+ */
+template<typename Geometry, typename Point>
+inline void centroid(Geometry const& geometry, Point& c)
+{
+    concept::check_concepts_and_equal_dimensions<Point, Geometry const>();
+
+    typedef typename strategy::centroid::services::default_strategy
+        <
+            typename cs_tag<Geometry>::type,
+            typename tag_cast
+                <
+                    typename tag<Geometry>::type,
+                    pointlike_tag,
+                    linear_tag,
+                    areal_tag
+                >::type,
+            dimension<Geometry>::type::value,
+            Point,
+            Geometry
+        >::type strategy_type;
+
+    centroid(geometry, c, strategy_type());
+}
+
+
+/*!
+\brief \brief_calc{centroid}
+\ingroup centroid
+\details \details_calc{centroid,geometric center (or: center of mass)}. \details_return{centroid}.
+\tparam Point \tparam_point
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{centroid}
+
+\qbk{[include reference/algorithms/centroid.qbk]}
+ */
+template<typename Point, typename Geometry>
+inline Point return_centroid(Geometry const& geometry)
+{
+    concept::check_concepts_and_equal_dimensions<Point, Geometry const>();
+
+    Point c;
+    centroid(geometry, c);
+    return c;
+}
+
+/*!
+\brief \brief_calc{centroid} \brief_strategy
+\ingroup centroid
+\details \details_calc{centroid,geometric center (or: center of mass)}. \details_return{centroid}. \details_strategy_reasons
+\tparam Point \tparam_point
+\tparam Geometry \tparam_geometry
+\tparam Strategy \tparam_strategy{centroid}
+\param geometry \param_geometry
+\param strategy \param_strategy{centroid}
+\return \return_calc{centroid}
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/centroid.qbk]}
+\qbk{[include reference/algorithms/centroid_strategies.qbk]}
+ */
+template<typename Point, typename Geometry, typename Strategy>
+inline Point return_centroid(Geometry const& geometry, Strategy const& strategy)
+{
+    //BOOST_CONCEPT_ASSERT( (geometry::concept::CentroidStrategy<Strategy>) );
+
+    concept::check_concepts_and_equal_dimensions<Point, Geometry const>();
+
+    Point c;
+    centroid(geometry, c, strategy);
+    return c;
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CENTROID_HPP

test/external/boost/geometry/algorithms/clear.hpp

@@ -0,0 +1,159 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_CLEAR_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_CLEAR_HPP
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace clear
+{
+
+template <typename Geometry>
+struct collection_clear
+{
+    static inline void apply(Geometry& geometry)
+    {
+        traits::clear<Geometry>::apply(geometry);
+    }
+};
+
+template <typename Polygon>
+struct polygon_clear
+{
+    static inline void apply(Polygon& polygon)
+    {
+        traits::clear
+            <
+                typename boost::remove_reference
+                    <
+                        typename traits::interior_mutable_type<Polygon>::type
+                    >::type
+            >::apply(interior_rings(polygon));
+        traits::clear
+            <
+                typename boost::remove_reference
+                    <
+                        typename traits::ring_mutable_type<Polygon>::type
+                    >::type
+            >::apply(exterior_ring(polygon));
+    }
+};
+
+template <typename Geometry>
+struct no_action
+{
+    static inline void apply(Geometry& )
+    {
+    }
+};
+
+}} // namespace detail::clear
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct clear
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+// Point/box/segment do not have clear. So specialize to do nothing.
+template <typename Geometry>
+struct clear<point_tag, Geometry>
+    : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<box_tag, Geometry>
+    : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<segment_tag, Geometry>
+    : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<linestring_tag, Geometry>
+    : detail::clear::collection_clear<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<ring_tag, Geometry>
+    : detail::clear::collection_clear<Geometry>
+{};
+
+
+// Polygon can (indirectly) use std for clear
+template <typename Polygon>
+struct clear<polygon_tag, Polygon>
+    : detail::clear::polygon_clear<Polygon>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Clears a linestring, ring or polygon (exterior+interiors) or multi*
+\details Generic function to clear a geometry. All points will be removed from the collection or collections
+    making up the geometry. In most cases this is equivalent to the .clear() method of a std::vector<...>. In
+    the case of a polygon, this clear functionality is automatically called for the exterior ring, and for the
+    interior ring collection. In the case of a point, boxes and segments, nothing will happen.
+\ingroup clear
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry which will be cleared
+\note points and boxes cannot be cleared, instead they can be set to zero by "assign_zero"
+
+\qbk{[include reference/algorithms/clear.qbk]}
+*/
+template <typename Geometry>
+inline void clear(Geometry& geometry)
+{
+    concept::check<Geometry>();
+
+    dispatch::clear
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry
+        >::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CLEAR_HPP

test/external/boost/geometry/algorithms/comparable_distance.hpp

@@ -0,0 +1,74 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_COMPARABLE_DISTANCE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_COMPARABLE_DISTANCE_HPP
+
+
+#include <boost/geometry/algorithms/distance.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief \brief_calc2{comparable distance measurement}
+\ingroup distance
+\details The free function comparable_distance does not necessarily calculate the distance,
+    but it calculates a distance measure such that two distances are comparable to each other.
+    For example: for the Cartesian coordinate system, Pythagoras is used but the square root
+    is not taken, which makes it faster and the results of two point pairs can still be 
+    compared to each other.
+\tparam Geometry1 first geometry type
+\tparam Geometry2 second geometry type
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return \return_calc{comparable distance}
+
+\qbk{[include reference/algorithms/comparable_distance.qbk]}
+ */
+template <typename Geometry1, typename Geometry2>
+inline typename default_distance_result<Geometry1, Geometry2>::type comparable_distance(
+                Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef typename point_type<Geometry1>::type point1_type;
+    typedef typename point_type<Geometry2>::type point2_type;
+
+    // Define a point-point-distance-strategy
+    // for either the normal case, either the reversed case
+
+    typedef typename strategy::distance::services::comparable_type
+        <
+            typename boost::mpl::if_c
+                <
+                    geometry::reverse_dispatch
+                        <Geometry1, Geometry2>::type::value,
+                    typename strategy::distance::services::default_strategy
+                            <point_tag, point2_type, point1_type>::type,
+                    typename strategy::distance::services::default_strategy
+                            <point_tag, point1_type, point2_type>::type
+                >::type
+        >::type strategy_type;
+
+    return distance(geometry1, geometry2, strategy_type());
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_COMPARABLE_DISTANCE_HPP

test/external/boost/geometry/algorithms/convert.hpp

@@ -0,0 +1,400 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_CONVERT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_CONVERT_HPP
+
+
+#include <cstddef>
+
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/is_array.hpp>
+
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/for_each.hpp>
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+#include <boost/geometry/algorithms/detail/assign_box_corners.hpp>
+#include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
+#include <boost/geometry/algorithms/detail/convert_point_to_point.hpp>
+
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace conversion
+{
+
+template
+<
+    typename Point,
+    typename Box,
+    std::size_t Index,
+    std::size_t Dimension,
+    std::size_t DimensionCount
+>
+struct point_to_box
+{
+    static inline void apply(Point const& point, Box& box)
+    {
+        typedef typename coordinate_type<Box>::type coordinate_type;
+
+        set<Index, Dimension>(box,
+                boost::numeric_cast<coordinate_type>(get<Dimension>(point)));
+        point_to_box
+            <
+                Point, Box,
+                Index, Dimension + 1, DimensionCount
+            >::apply(point, box);
+    }
+};
+
+
+template
+<
+    typename Point,
+    typename Box,
+    std::size_t Index,
+    std::size_t DimensionCount
+>
+struct point_to_box<Point, Box, Index, DimensionCount, DimensionCount>
+{
+    static inline void apply(Point const& , Box& )
+    {}
+};
+
+template <typename Box, typename Range, bool Close, bool Reverse>
+struct box_to_range
+{
+    static inline void apply(Box const& box, Range& range)
+    {
+        traits::resize<Range>::apply(range, Close ? 5 : 4);
+        assign_box_corners_oriented<Reverse>(box, range);
+        if (Close)
+        {
+            range[4] = range[0];
+        }
+    }
+};
+
+template <typename Segment, typename Range>
+struct segment_to_range
+{
+    static inline void apply(Segment const& segment, Range& range)
+    {
+        traits::resize<Range>::apply(range, 2);
+
+        typename boost::range_iterator<Range>::type it = boost::begin(range);
+
+        assign_point_from_index<0>(segment, *it);
+        ++it;
+        assign_point_from_index<1>(segment, *it);
+    }
+};
+
+template 
+<
+    typename Range1, 
+    typename Range2, 
+    bool Reverse = false
+>
+struct range_to_range
+{
+    typedef typename reversible_view
+        <
+            Range1 const, 
+            Reverse ? iterate_reverse : iterate_forward
+        >::type rview_type;
+    typedef typename closeable_view
+        <
+            rview_type const, 
+            geometry::closure<Range1>::value
+        >::type view_type;
+
+    static inline void apply(Range1 const& source, Range2& destination)
+    {
+        geometry::clear(destination);
+
+        rview_type rview(source);
+
+        // We consider input always as closed, and skip last
+        // point for open output.
+        view_type view(rview);
+
+        int n = boost::size(view);
+        if (geometry::closure<Range2>::value == geometry::open)
+        {
+            n--;
+        }
+
+        int i = 0;
+        for (typename boost::range_iterator<view_type const>::type it
+            = boost::begin(view);
+            it != boost::end(view) && i < n;
+            ++it, ++i)
+        {
+            geometry::append(destination, *it);
+        }
+    }
+};
+
+template <typename Polygon1, typename Polygon2>
+struct polygon_to_polygon
+{
+    typedef range_to_range
+        <
+            typename geometry::ring_type<Polygon1>::type, 
+            typename geometry::ring_type<Polygon2>::type,
+            geometry::point_order<Polygon1>::value
+                != geometry::point_order<Polygon2>::value
+        > per_ring;
+
+    static inline void apply(Polygon1 const& source, Polygon2& destination)
+    {
+        // Clearing managed per ring, and in the resizing of interior rings
+
+        per_ring::apply(geometry::exterior_ring(source), 
+            geometry::exterior_ring(destination));
+
+        // Container should be resizeable
+        traits::resize
+            <
+                typename boost::remove_reference
+                <
+                    typename traits::interior_mutable_type<Polygon2>::type
+                >::type
+            >::apply(interior_rings(destination), num_interior_rings(source));
+
+        typename interior_return_type<Polygon1 const>::type rings_source
+                    = interior_rings(source);
+        typename interior_return_type<Polygon2>::type rings_dest
+                    = interior_rings(destination);
+
+        BOOST_AUTO_TPL(it_source, boost::begin(rings_source));
+        BOOST_AUTO_TPL(it_dest, boost::begin(rings_dest));
+
+        for ( ; it_source != boost::end(rings_source); ++it_source, ++it_dest)
+        {
+            per_ring::apply(*it_source, *it_dest);
+        }
+    }
+};
+
+
+}} // namespace detail::conversion
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    bool UseAssignment,
+    typename Tag1, typename Tag2,
+    std::size_t DimensionCount,
+    typename Geometry1, typename Geometry2
+>
+struct convert
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPES
+            , (types<Geometry1, Geometry2>)
+        );
+};
+
+
+template
+<
+    typename Tag,
+    std::size_t DimensionCount,
+    typename Geometry1, typename Geometry2
+>
+struct convert<true, Tag, Tag, DimensionCount, Geometry1, Geometry2>
+{
+    // Same geometry type -> copy whole geometry
+    static inline void apply(Geometry1 const& source, Geometry2& destination)
+    {
+        destination = source;
+    }
+};
+
+
+template
+<
+    std::size_t DimensionCount,
+    typename Geometry1, typename Geometry2
+>
+struct convert<false, point_tag, point_tag, DimensionCount, Geometry1, Geometry2>
+    : detail::conversion::point_to_point<Geometry1, Geometry2, 0, DimensionCount>
+{};
+
+template <std::size_t DimensionCount, typename Segment, typename LineString>
+struct convert<false, segment_tag, linestring_tag, DimensionCount, Segment, LineString>
+    : detail::conversion::segment_to_range<Segment, LineString>
+{};
+
+
+template <std::size_t DimensionCount, typename Ring1, typename Ring2>
+struct convert<false, ring_tag, ring_tag, DimensionCount, Ring1, Ring2>
+    : detail::conversion::range_to_range
+        <   
+            Ring1, 
+            Ring2,
+            geometry::point_order<Ring1>::value
+                != geometry::point_order<Ring2>::value
+        >
+{};
+
+template <std::size_t DimensionCount, typename LineString1, typename LineString2>
+struct convert<false, linestring_tag, linestring_tag, DimensionCount, LineString1, LineString2>
+    : detail::conversion::range_to_range<LineString1, LineString2>
+{};
+
+template <std::size_t DimensionCount, typename Polygon1, typename Polygon2>
+struct convert<false, polygon_tag, polygon_tag, DimensionCount, Polygon1, Polygon2>
+    : detail::conversion::polygon_to_polygon<Polygon1, Polygon2>
+{};
+
+template <typename Box, typename Ring>
+struct convert<false, box_tag, ring_tag, 2, Box, Ring>
+    : detail::conversion::box_to_range
+        <
+            Box, 
+            Ring, 
+            geometry::closure<Ring>::value == closed,
+            geometry::point_order<Ring>::value == counterclockwise
+        >
+{};
+
+
+template <typename Box, typename Polygon>
+struct convert<false, box_tag, polygon_tag, 2, Box, Polygon>
+{
+    static inline void apply(Box const& box, Polygon& polygon)
+    {
+        typedef typename ring_type<Polygon>::type ring_type;
+
+        convert
+            <
+                false, box_tag, ring_tag,
+                2, Box, ring_type
+            >::apply(box, exterior_ring(polygon));
+    }
+};
+
+
+template <typename Point, std::size_t DimensionCount, typename Box>
+struct convert<false, point_tag, box_tag, DimensionCount, Point, Box>
+{
+    static inline void apply(Point const& point, Box& box)
+    {
+        detail::conversion::point_to_box
+            <
+                Point, Box, min_corner, 0, DimensionCount
+            >::apply(point, box);
+        detail::conversion::point_to_box
+            <
+                Point, Box, max_corner, 0, DimensionCount
+            >::apply(point, box);
+    }
+};
+
+
+template <typename Ring, std::size_t DimensionCount, typename Polygon>
+struct convert<false, ring_tag, polygon_tag, DimensionCount, Ring, Polygon>
+{
+    static inline void apply(Ring const& ring, Polygon& polygon)
+    {
+        typedef typename ring_type<Polygon>::type ring_type;
+        convert
+            <
+                false, ring_tag, ring_tag, DimensionCount,
+                Ring, ring_type
+            >::apply(ring, exterior_ring(polygon));
+    }
+};
+
+
+template <typename Polygon, std::size_t DimensionCount, typename Ring>
+struct convert<false, polygon_tag, ring_tag, DimensionCount, Polygon, Ring>
+{
+    static inline void apply(Polygon const& polygon, Ring& ring)
+    {
+        typedef typename ring_type<Polygon>::type ring_type;
+
+        convert
+            <
+                false,
+                ring_tag, ring_tag, DimensionCount,
+                ring_type, Ring
+            >::apply(exterior_ring(polygon), ring);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Converts one geometry to another geometry
+\details The convert algorithm converts one geometry, e.g. a BOX, to another
+geometry, e.g. a RING. This only if it is possible and applicable.
+If the point-order is different, or the closure is different between two 
+geometry types, it will be converted correctly by explicitly reversing the 
+points or closing or opening the polygon rings.
+\ingroup convert
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry (source)
+\param geometry2 \param_geometry (target)
+
+\qbk{[include reference/algorithms/convert.qbk]}
+ */
+template <typename Geometry1, typename Geometry2>
+inline void convert(Geometry1 const& geometry1, Geometry2& geometry2)
+{
+    concept::check_concepts_and_equal_dimensions<Geometry1 const, Geometry2>();
+
+    dispatch::convert
+        <
+            boost::is_same<Geometry1, Geometry2>::value 
+                // && boost::has_assign<Geometry2>::value, -- type traits extensions
+                && ! boost::is_array<Geometry1>::value,
+            typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+            typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+            dimension<Geometry1>::type::value,
+            Geometry1,
+            Geometry2
+        >::apply(geometry1, geometry2);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CONVERT_HPP

test/external/boost/geometry/algorithms/convex_hull.hpp

@@ -0,0 +1,247 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_CONVEX_HULL_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_CONVEX_HULL_HPP
+
+
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/strategies/convex_hull.hpp>
+#include <boost/geometry/strategies/concepts/convex_hull_concept.hpp>
+
+#include <boost/geometry/views/detail/range_type.hpp>
+
+#include <boost/geometry/algorithms/detail/as_range.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace convex_hull
+{
+
+template
+<
+    typename Geometry,
+    order_selector Order,
+    typename Strategy
+>
+struct hull_insert
+{
+
+    // Member template function (to avoid inconvenient declaration
+    // of output-iterator-type, from hull_to_geometry)
+    template <typename OutputIterator>
+    static inline OutputIterator apply(Geometry const& geometry,
+            OutputIterator out, Strategy const& strategy)
+    {
+        typename Strategy::state_type state;
+
+        strategy.apply(geometry, state);
+        strategy.result(state, out, Order == clockwise);
+        return out;
+    }
+};
+
+template
+<
+    typename Geometry,
+    typename OutputGeometry,
+    typename Strategy
+>
+struct hull_to_geometry
+{
+    static inline void apply(Geometry const& geometry, OutputGeometry& out,
+            Strategy const& strategy)
+    {
+        hull_insert
+            <
+                Geometry,
+                geometry::point_order<OutputGeometry>::value,
+                Strategy
+            >::apply(geometry,
+                std::back_inserter(
+                    // Handle linestring, ring and polygon the same:
+                    detail::as_range
+                        <
+                            typename range_type<OutputGeometry>::type
+                        >(out)), strategy);
+    }
+};
+
+
+}} // namespace detail::convex_hull
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag1,
+    typename Geometry,
+    typename Output,
+    typename Strategy
+>
+struct convex_hull
+    : detail::convex_hull::hull_to_geometry<Geometry, Output, Strategy>
+{};
+
+
+template
+<
+    typename GeometryTag,
+    order_selector Order,
+    typename GeometryIn, typename Strategy
+ >
+struct convex_hull_insert
+    : detail::convex_hull::hull_insert<GeometryIn, Order, Strategy>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+template<typename Geometry1, typename Geometry2, typename Strategy>
+inline void convex_hull(Geometry1 const& geometry,
+            Geometry2& out, Strategy const& strategy)
+{
+    concept::check_concepts_and_equal_dimensions
+        <
+            const Geometry1,
+            Geometry2
+        >();
+
+    BOOST_CONCEPT_ASSERT( (geometry::concept::ConvexHullStrategy<Strategy>) );
+
+
+    dispatch::convex_hull
+        <
+            typename tag<Geometry1>::type,
+            Geometry1,
+            Geometry2,
+            Strategy
+        >::apply(geometry, out, strategy);
+}
+
+
+/*!
+\brief \brief_calc{convex hull}
+\ingroup convex_hull
+\details \details_calc{convex_hull,convex hull}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry \param_geometry,  input geometry
+\param hull \param_geometry \param_set{convex hull}
+
+\qbk{[include reference/algorithms/convex_hull.qbk]}
+ */
+template<typename Geometry1, typename Geometry2>
+inline void convex_hull(Geometry1 const& geometry,
+            Geometry2& hull)
+{
+    concept::check_concepts_and_equal_dimensions
+        <
+            const Geometry1,
+            Geometry2
+        >();
+
+    typedef typename point_type<Geometry2>::type point_type;
+
+    typedef typename strategy_convex_hull
+        <
+            typename cs_tag<point_type>::type,
+            Geometry1,
+            point_type
+        >::type strategy_type;
+
+    convex_hull(geometry, hull, strategy_type());
+}
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace convex_hull
+{
+
+
+template<typename Geometry, typename OutputIterator, typename Strategy>
+inline OutputIterator convex_hull_insert(Geometry const& geometry,
+            OutputIterator out, Strategy const& strategy)
+{
+    // Concept: output point type = point type of input geometry
+    concept::check<Geometry const>();
+    concept::check<typename point_type<Geometry>::type>();
+
+    BOOST_CONCEPT_ASSERT( (geometry::concept::ConvexHullStrategy<Strategy>) );
+
+    return dispatch::convex_hull_insert
+        <
+            typename tag<Geometry>::type,
+            geometry::point_order<Geometry>::value,
+            Geometry, Strategy
+        >::apply(geometry, out, strategy);
+}
+
+
+/*!
+\brief Calculate the convex hull of a geometry, output-iterator version
+\ingroup convex_hull
+\tparam Geometry the input geometry type
+\tparam OutputIterator: an output-iterator
+\param geometry the geometry to calculate convex hull from
+\param out an output iterator outputing points of the convex hull
+\note This overloaded version outputs to an output iterator.
+In this case, nothing is known about its point-type or
+    about its clockwise order. Therefore, the input point-type
+    and order are copied
+
+ */
+template<typename Geometry, typename OutputIterator>
+inline OutputIterator convex_hull_insert(Geometry const& geometry,
+            OutputIterator out)
+{
+    // Concept: output point type = point type of input geometry
+    concept::check<Geometry const>();
+    concept::check<typename point_type<Geometry>::type>();
+
+    typedef typename point_type<Geometry>::type point_type;
+
+    typedef typename strategy_convex_hull
+        <
+            typename cs_tag<point_type>::type,
+            Geometry,
+            point_type
+        >::type strategy_type;
+
+    return convex_hull_insert(geometry, out, strategy_type());
+}
+
+
+}} // namespace detail::convex_hull
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CONVEX_HULL_HPP

test/external/boost/geometry/algorithms/correct.hpp

@@ -0,0 +1,270 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_CORRECT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_CORRECT_HPP
+
+
+#include <algorithm>
+#include <cstddef>
+#include <functional>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/disjoint.hpp>
+#include <boost/geometry/util/order_as_direction.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace correct
+{
+
+template <typename Geometry>
+struct correct_nop
+{
+    static inline void apply(Geometry& )
+    {}
+};
+
+
+template <typename Box, std::size_t Dimension, std::size_t DimensionCount>
+struct correct_box_loop
+{
+    typedef typename coordinate_type<Box>::type coordinate_type;
+
+    static inline void apply(Box& box)
+    {
+        if (get<min_corner, Dimension>(box) > get<max_corner, Dimension>(box))
+        {
+            // Swap the coordinates
+            coordinate_type max_value = get<min_corner, Dimension>(box);
+            coordinate_type min_value = get<max_corner, Dimension>(box);
+            set<min_corner, Dimension>(box, min_value);
+            set<max_corner, Dimension>(box, max_value);
+        }
+
+        correct_box_loop
+            <
+                Box, Dimension + 1, DimensionCount
+            >::apply(box);
+    }
+};
+
+
+
+template <typename Box, std::size_t DimensionCount>
+struct correct_box_loop<Box, DimensionCount, DimensionCount>
+{
+    static inline void apply(Box& box)
+    {}
+
+};
+
+
+// Correct a box: make min/max correct
+template <typename Box>
+struct correct_box
+{
+
+    static inline void apply(Box& box)
+    {
+        // Currently only for Cartesian coordinates
+        // (or spherical without crossing dateline)
+        // Future version: adapt using strategies
+        correct_box_loop
+            <
+                Box, 0, dimension<Box>::type::value
+            >::apply(box);
+    }
+};
+
+
+// Close a ring, if not closed
+template <typename Ring, typename Predicate>
+struct correct_ring
+{
+    typedef typename point_type<Ring>::type point_type;
+    typedef typename coordinate_type<Ring>::type coordinate_type;
+
+    typedef typename strategy::area::services::default_strategy
+        <
+            typename cs_tag<point_type>::type,
+            point_type
+        >::type strategy_type;
+
+    typedef detail::area::ring_area
+            <
+                Ring,
+                order_as_direction<geometry::point_order<Ring>::value>::value,
+                geometry::closure<Ring>::value,
+                strategy_type
+            > ring_area_type;
+
+
+    static inline void apply(Ring& r)
+    {
+        // Check close-ness
+        if (boost::size(r) > 2)
+        {
+            // check if closed, if not, close it
+            bool const disjoint = geometry::disjoint(*boost::begin(r), *(boost::end(r) - 1));
+            closure_selector const s = geometry::closure<Ring>::value;
+
+            if (disjoint && (s == closed))
+            {
+                geometry::append(r, *boost::begin(r));
+            }
+            if (! disjoint && geometry::closure<Ring>::value != closed)
+            {
+                // Open it by removing last point
+                geometry::traits::resize<Ring>::apply(r, boost::size(r) - 1);
+            }
+        }
+        // Check area
+        Predicate predicate;
+        coordinate_type const zero = 0;
+        if (predicate(ring_area_type::apply(r, strategy_type()), zero))
+        {
+            std::reverse(boost::begin(r), boost::end(r));
+        }
+    }
+};
+
+// Correct a polygon: normalizes all rings, sets outer ring clockwise, sets all
+// inner rings counter clockwise (or vice versa depending on orientation)
+template <typename Polygon>
+struct correct_polygon
+{
+    typedef typename ring_type<Polygon>::type ring_type;
+    typedef typename coordinate_type<Polygon>::type coordinate_type;
+
+    static inline void apply(Polygon& poly)
+    {
+        correct_ring
+            <
+                ring_type,
+                std::less<coordinate_type>
+            >::apply(exterior_ring(poly));
+
+        typename interior_return_type<Polygon>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            correct_ring
+                <
+                    ring_type,
+                    std::greater<coordinate_type>
+                >::apply(*it);
+        }
+    }
+};
+
+
+}} // namespace detail::correct
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct correct
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+template <typename Point>
+struct correct<point_tag, Point>
+    : detail::correct::correct_nop<Point>
+{};
+
+template <typename LineString>
+struct correct<linestring_tag, LineString>
+    : detail::correct::correct_nop<LineString>
+{};
+
+template <typename Segment>
+struct correct<segment_tag, Segment>
+    : detail::correct::correct_nop<Segment>
+{};
+
+
+template <typename Box>
+struct correct<box_tag, Box>
+    : detail::correct::correct_box<Box>
+{};
+
+template <typename Ring>
+struct correct<ring_tag, Ring>
+    : detail::correct::correct_ring
+        <
+            Ring,
+            std::less<typename coordinate_type<Ring>::type>
+        >
+{};
+
+template <typename Polygon>
+struct correct<polygon_tag, Polygon>
+    : detail::correct::correct_polygon<Polygon>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Corrects a geometry
+\details Corrects a geometry: all rings which are wrongly oriented with respect
+    to their expected orientation are reversed. To all rings which do not have a
+    closing point and are typed as they should have one, the first point is
+    appended. Also boxes can be corrected.
+\ingroup correct
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry which will be corrected if necessary
+
+\qbk{[include reference/algorithms/correct.qbk]}
+*/
+template <typename Geometry>
+inline void correct(Geometry& geometry)
+{
+    concept::check<Geometry const>();
+
+    dispatch::correct<typename tag<Geometry>::type, Geometry>::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CORRECT_HPP

test/external/boost/geometry/algorithms/covered_by.hpp

@@ -0,0 +1,206 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_COVERED_BY_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_COVERED_BY_HPP
+
+
+#include <cstddef>
+
+
+#include <boost/geometry/algorithms/within.hpp>
+
+
+#include <boost/geometry/strategies/cartesian/point_in_box.hpp>
+#include <boost/geometry/strategies/cartesian/box_in_box.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag1,
+    typename Tag2,
+    typename Geometry1,
+    typename Geometry2,
+    typename Strategy
+>
+struct covered_by
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry1, Geometry2>)
+        );
+};
+
+
+template <typename Point, typename Box, typename Strategy>
+struct covered_by<point_tag, box_tag, Point, Box, Strategy>
+{
+    static inline bool apply(Point const& point, Box const& box, Strategy const& strategy)
+    {
+        return strategy.apply(point, box);
+    }
+};
+
+template <typename Box1, typename Box2, typename Strategy>
+struct covered_by<box_tag, box_tag, Box1, Box2, Strategy>
+{
+    static inline bool apply(Box1 const& box1, Box2 const& box2, Strategy const& strategy)
+    {
+        assert_dimension_equal<Box1, Box2>();
+        return strategy.apply(box1, box2);
+    }
+};
+
+
+
+template <typename Point, typename Ring, typename Strategy>
+struct covered_by<point_tag, ring_tag, Point, Ring, Strategy>
+{
+    static inline bool apply(Point const& point, Ring const& ring, Strategy const& strategy)
+    {
+        return detail::within::point_in_ring
+            <
+                Point,
+                Ring,
+                order_as_direction<geometry::point_order<Ring>::value>::value,
+                geometry::closure<Ring>::value,
+                Strategy
+            >::apply(point, ring) >= 0;
+    }
+};
+
+template <typename Point, typename Polygon, typename Strategy>
+struct covered_by<point_tag, polygon_tag, Point, Polygon, Strategy>
+{
+    static inline bool apply(Point const& point, Polygon const& polygon, Strategy const& strategy)
+    {
+        return detail::within::point_in_polygon
+        <
+            Point,
+            Polygon,
+            order_as_direction<geometry::point_order<Polygon>::value>::value,
+            geometry::closure<Polygon>::value,
+            Strategy
+        >::apply(point, polygon, strategy) >= 0;
+    }
+};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_check12{is inside or on border}
+\ingroup covered_by
+\details \details_check12{covered_by, is inside or on border}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param geometry1 geometry which might be covered_by the second geometry
+\param geometry2 geometry which might contain the first geometry
+\return true if geometry1 is completely contained covered_by geometry2,
+    else false
+\note The default strategy is used for covered_by detection
+
+ */
+template<typename Geometry1, typename Geometry2>
+inline bool covered_by(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    assert_dimension_equal<Geometry1, Geometry2>();
+
+    typedef typename point_type<Geometry1>::type point_type1;
+    typedef typename point_type<Geometry2>::type point_type2;
+
+    typedef typename strategy::covered_by::services::default_strategy
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            typename tag<Geometry1>::type,
+            typename tag_cast<typename tag<Geometry2>::type, areal_tag>::type,
+            typename tag_cast
+                <
+                    typename cs_tag<point_type1>::type, spherical_tag
+                >::type,
+            typename tag_cast
+                <
+                    typename cs_tag<point_type2>::type, spherical_tag
+                >::type,
+            Geometry1,
+            Geometry2
+        >::type strategy_type;
+
+    return dispatch::covered_by
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            Geometry1,
+            Geometry2,
+            strategy_type
+        >::apply(geometry1, geometry2, strategy_type());
+}
+
+/*!
+\brief \brief_check12{is inside or on border} \brief_strategy
+\ingroup covered_by
+\details \details_check12{covered_by, is inside or on border}, \brief_strategy. \details_strategy_reasons
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param geometry1 \param_geometry geometry which might be covered_by the second geometry
+\param geometry2 \param_geometry which might contain the first geometry
+\param strategy strategy to be used
+\return true if geometry1 is completely contained covered_by geometry2,
+    else false
+
+\qbk{distinguish,with strategy}
+
+*/
+template<typename Geometry1, typename Geometry2, typename Strategy>
+inline bool covered_by(Geometry1 const& geometry1, Geometry2 const& geometry2,
+        Strategy const& strategy)
+{
+    concept::within::check
+        <
+            typename tag<Geometry1>::type, 
+            typename tag<Geometry2>::type, 
+            typename tag_cast<typename tag<Geometry2>::type, areal_tag>::type,
+            Strategy
+        >();
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    assert_dimension_equal<Geometry1, Geometry2>();
+
+    return dispatch::covered_by
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            Geometry1,
+            Geometry2,
+            Strategy
+        >::apply(geometry1, geometry2, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_COVERED_BY_HPP

test/external/boost/geometry/algorithms/detail/as_range.hpp

@@ -0,0 +1,107 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_AS_RANGE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_AS_RANGE_HPP
+
+
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/util/add_const_if_c.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename GeometryTag, typename Geometry, typename Range, bool IsConst>
+struct as_range
+{
+    static inline typename add_const_if_c<IsConst, Range>::type& get(
+            typename add_const_if_c<IsConst, Geometry>::type& input)
+    {
+        return input;
+    }
+};
+
+
+template <typename Geometry, typename Range, bool IsConst>
+struct as_range<polygon_tag, Geometry, Range, IsConst>
+{
+    static inline typename add_const_if_c<IsConst, Range>::type& get(
+            typename add_const_if_c<IsConst, Geometry>::type& input)
+    {
+        return exterior_ring(input);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+// Will probably be replaced by the more generic "view_as", therefore in detail
+namespace detail
+{
+
+/*!
+\brief Function getting either the range (ring, linestring) itself
+or the outer ring (polygon)
+\details Utility to handle polygon's outer ring as a range
+\ingroup utility
+*/
+template <typename Range, typename Geometry>
+inline Range& as_range(Geometry& input)
+{
+    return dispatch::as_range
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Range,
+            false
+        >::get(input);
+}
+
+
+/*!
+\brief Function getting either the range (ring, linestring) itself
+or the outer ring (polygon), const version
+\details Utility to handle polygon's outer ring as a range
+\ingroup utility
+*/
+template <typename Range, typename Geometry>
+inline Range const& as_range(Geometry const& input)
+{
+    return dispatch::as_range
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Range,
+            true
+        >::get(input);
+}
+
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_AS_RANGE_HPP

test/external/boost/geometry/algorithms/detail/assign_box_corners.hpp

@@ -0,0 +1,93 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_ASSIGN_BOX_CORNERS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_ASSIGN_BOX_CORNERS_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail 
+{
+// Note: this is moved to namespace detail because the names and parameter orders
+// are not yet 100% clear.
+
+/*!
+\brief Assign the four points of a 2D box
+\ingroup assign
+\note The order is crucial. Most logical is LOWER, UPPER and sub-order LEFT, RIGHT
+    so this is how it is implemented.
+\tparam Box \tparam_box
+\tparam Point \tparam_point
+\param box \param_box
+\param lower_left point being assigned to lower left coordinates of the box
+\param lower_right point being assigned to lower right coordinates of the box
+\param upper_left point being assigned to upper left coordinates of the box
+\param upper_right point being assigned to upper right coordinates of the box
+
+\qbk{
+[heading Example]
+[assign_box_corners] [assign_box_corners_output]
+}
+*/
+template <typename Box, typename Point>
+inline void assign_box_corners(Box const& box,
+        Point& lower_left, Point& lower_right,
+        Point& upper_left, Point& upper_right)
+{
+    concept::check<Box const>();
+    concept::check<Point>();
+
+    detail::assign::assign_box_2d_corner
+            <min_corner, min_corner>(box, lower_left);
+    detail::assign::assign_box_2d_corner
+            <max_corner, min_corner>(box, lower_right);
+    detail::assign::assign_box_2d_corner
+            <min_corner, max_corner>(box, upper_left);
+    detail::assign::assign_box_2d_corner
+            <max_corner, max_corner>(box, upper_right);
+}
+
+template <bool Reverse, typename Box, typename Range>
+inline void assign_box_corners_oriented(Box const& box, Range& corners)
+{
+    if (Reverse)
+    {
+        // make counterclockwise ll,lr,ur,ul
+        assign_box_corners(box, corners[0], corners[1], corners[3], corners[2]);
+    }
+    else
+    {
+        // make clockwise ll,ul,ur,lr
+        assign_box_corners(box, corners[0], corners[3], corners[1], corners[2]);
+    }
+}
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_ASSIGN_BOX_CORNERS_HPP

test/external/boost/geometry/algorithms/detail/assign_indexed_point.hpp

@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_ASSIGN_INDEXED_POINT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_ASSIGN_INDEXED_POINT_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail 
+{
+
+/*!
+\brief Assign a box or segment with the value of a point
+\ingroup assign
+\tparam Index indicates which box-corner, min_corner (0) or max_corner (1)
+    or which point of segment (0/1)
+\tparam Point \tparam_point
+\tparam Geometry \tparam_box_or_segment
+\param point \param_point
+\param geometry \param_box_or_segment
+
+\qbk{
+[heading Example]
+[assign_point_to_index] [assign_point_to_index_output]
+}
+*/
+template <std::size_t Index, typename Geometry, typename Point>
+inline void assign_point_to_index(Point const& point, Geometry& geometry)
+{
+    concept::check<Point const>();
+    concept::check<Geometry>();
+
+    detail::assign::assign_point_to_index
+        <
+            Geometry, Point, Index, 0, dimension<Geometry>::type::value
+        >::apply(point, geometry);
+}
+
+
+/*!
+\brief Assign a point with a point of a box or segment
+\ingroup assign
+\tparam Index indicates which box-corner, min_corner (0) or max_corner (1)
+    or which point of segment (0/1)
+\tparam Geometry \tparam_box_or_segment
+\tparam Point \tparam_point
+\param geometry \param_box_or_segment
+\param point \param_point
+
+\qbk{
+[heading Example]
+[assign_point_from_index] [assign_point_from_index_output]
+}
+*/
+template <std::size_t Index, typename Point, typename Geometry>
+inline void assign_point_from_index(Geometry const& geometry, Point& point)
+{
+    concept::check<Geometry const>();
+    concept::check<Point>();
+
+    detail::assign::assign_point_from_index
+        <
+            Geometry, Point, Index, 0, dimension<Geometry>::type::value
+        >::apply(geometry, point);
+}
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_ASSIGN_INDEXED_POINT_HPP

test/external/boost/geometry/algorithms/detail/assign_values.hpp

@@ -0,0 +1,443 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_ASSIGN_VALUES_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_ASSIGN_VALUES_HPP
+
+
+#include <cstddef>
+
+#include <boost/concept/requires.hpp>
+#include <boost/concept_check.hpp>
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/numeric/conversion/bounds.hpp>
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+#include <boost/geometry/util/for_each_coordinate.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace assign
+{
+
+
+template
+<
+    typename Box, std::size_t Index,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct initialize
+{
+    typedef typename coordinate_type<Box>::type coordinate_type;
+
+    static inline void apply(Box& box, coordinate_type const& value)
+    {
+        geometry::set<Index, Dimension>(box, value);
+        initialize<Box, Index, Dimension + 1, DimensionCount>::apply(box, value);
+    }
+};
+
+
+template <typename Box, std::size_t Index, std::size_t DimensionCount>
+struct initialize<Box, Index, DimensionCount, DimensionCount>
+{
+    typedef typename coordinate_type<Box>::type coordinate_type;
+
+    static inline void apply(Box&,  coordinate_type const& )
+    {}
+};
+
+
+template <typename Point>
+struct assign_zero_point
+{
+    static inline void apply(Point& point)
+    {
+        geometry::assign_value(point, 0);
+    }
+};
+
+
+template <typename BoxOrSegment>
+struct assign_inverse_box_or_segment
+{
+    typedef typename point_type<BoxOrSegment>::type point_type;
+
+    static inline void apply(BoxOrSegment& geometry)
+    {
+        typedef typename coordinate_type<point_type>::type bound_type;
+
+        initialize
+            <
+                BoxOrSegment, 0, 0, dimension<BoxOrSegment>::type::value
+            >::apply(
+            geometry, boost::numeric::bounds<bound_type>::highest());
+        initialize
+            <
+                BoxOrSegment, 1, 0, dimension<BoxOrSegment>::type::value
+            >::apply(
+            geometry, boost::numeric::bounds<bound_type>::lowest());
+    }
+};
+
+
+template <typename BoxOrSegment>
+struct assign_zero_box_or_segment
+{
+    static inline void apply(BoxOrSegment& geometry)
+    {
+        typedef typename coordinate_type<BoxOrSegment>::type coordinate_type;
+
+        initialize
+            <
+                BoxOrSegment, 0, 0, dimension<BoxOrSegment>::type::value
+            >::apply(geometry, coordinate_type());
+        initialize
+            <
+                BoxOrSegment, 1, 0, dimension<BoxOrSegment>::type::value
+            >::apply(geometry, coordinate_type());
+    }
+};
+
+
+template
+<
+    std::size_t Corner1, std::size_t Corner2,
+    typename Box, typename Point
+>
+inline void assign_box_2d_corner(Box const& box, Point& point)
+{
+    // Be sure both are 2-Dimensional
+    assert_dimension<Box, 2>();
+    assert_dimension<Point, 2>();
+
+    // Copy coordinates
+    typedef typename coordinate_type<Point>::type coordinate_type;
+
+    geometry::set<0>(point, boost::numeric_cast<coordinate_type>(get<Corner1, 0>(box)));
+    geometry::set<1>(point, boost::numeric_cast<coordinate_type>(get<Corner2, 1>(box)));
+}
+
+
+
+template
+<
+    typename Geometry, typename Point,
+    std::size_t Index,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct assign_point_to_index
+{
+
+    static inline void apply(Point const& point, Geometry& geometry)
+    {
+        geometry::set<Index, Dimension>(geometry, boost::numeric_cast
+            <
+                typename coordinate_type<Geometry>::type
+            >(geometry::get<Dimension>(point)));
+
+        assign_point_to_index
+            <
+                Geometry, Point, Index, Dimension + 1, DimensionCount
+            >::apply(point, geometry);
+    }
+};
+
+template
+<
+    typename Geometry, typename Point,
+    std::size_t Index,
+    std::size_t DimensionCount
+>
+struct assign_point_to_index
+    <
+        Geometry, Point,
+        Index,
+        DimensionCount, DimensionCount
+    >
+{
+    static inline void apply(Point const& , Geometry& )
+    {
+    }
+};
+
+
+template
+<
+    typename Geometry, typename Point,
+    std::size_t Index,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct assign_point_from_index
+{
+
+    static inline void apply(Geometry const& geometry, Point& point)
+    {
+        geometry::set<Dimension>( point, boost::numeric_cast
+            <
+                typename coordinate_type<Point>::type
+            >(geometry::get<Index, Dimension>(geometry)));
+
+        assign_point_from_index
+            <
+                Geometry, Point, Index, Dimension + 1, DimensionCount
+            >::apply(geometry, point);
+    }
+};
+
+template
+<
+    typename Geometry, typename Point,
+    std::size_t Index,
+    std::size_t DimensionCount
+>
+struct assign_point_from_index
+    <
+        Geometry, Point,
+        Index,
+        DimensionCount, DimensionCount
+    >
+{
+    static inline void apply(Geometry const&, Point&)
+    {
+    }
+};
+
+
+template <typename Geometry>
+struct assign_2d_box_or_segment
+{
+    typedef typename coordinate_type<Geometry>::type coordinate_type;
+
+    // Here we assign 4 coordinates to a box of segment
+    // -> Most logical is: x1,y1,x2,y2
+    // In case the user reverses x1/x2 or y1/y2, for a box, we could reverse them (THAT IS NOT IMPLEMENTED)
+
+    template <typename Type>
+    static inline void apply(Geometry& geometry,
+                Type const& x1, Type const& y1, Type const& x2, Type const& y2)
+    {
+        geometry::set<0, 0>(geometry, boost::numeric_cast<coordinate_type>(x1));
+        geometry::set<0, 1>(geometry, boost::numeric_cast<coordinate_type>(y1));
+        geometry::set<1, 0>(geometry, boost::numeric_cast<coordinate_type>(x2));
+        geometry::set<1, 1>(geometry, boost::numeric_cast<coordinate_type>(y2));
+    }
+};
+
+
+}} // namespace detail::assign
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename GeometryTag, typename Geometry, std::size_t DimensionCount>
+struct assign
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+template <typename Point>
+struct assign<point_tag, Point, 2>
+{
+    typedef typename coordinate_type<Point>::type coordinate_type;
+
+    template <typename T>
+    static inline void apply(Point& point, T const& c1, T const& c2)
+    {
+        set<0>(point, boost::numeric_cast<coordinate_type>(c1));
+        set<1>(point, boost::numeric_cast<coordinate_type>(c2));
+    }
+};
+
+template <typename Point>
+struct assign<point_tag, Point, 3>
+{
+    typedef typename coordinate_type<Point>::type coordinate_type;
+
+    template <typename T>
+    static inline void apply(Point& point, T const& c1, T const& c2, T const& c3)
+    {
+        set<0>(point, boost::numeric_cast<coordinate_type>(c1));
+        set<1>(point, boost::numeric_cast<coordinate_type>(c2));
+        set<2>(point, boost::numeric_cast<coordinate_type>(c3));
+    }
+};
+
+template <typename Box>
+struct assign<box_tag, Box, 2>
+    : detail::assign::assign_2d_box_or_segment<Box>
+{};
+
+template <typename Segment>
+struct assign<segment_tag, Segment, 2>
+    : detail::assign::assign_2d_box_or_segment<Segment>
+{};
+
+
+
+template <typename GeometryTag, typename Geometry>
+struct assign_zero {};
+
+
+template <typename Point>
+struct assign_zero<point_tag, Point>
+    : detail::assign::assign_zero_point<Point>
+{};
+
+template <typename Box>
+struct assign_zero<box_tag, Box>
+    : detail::assign::assign_zero_box_or_segment<Box>
+{};
+
+template <typename Segment>
+struct assign_zero<segment_tag, Segment>
+    : detail::assign::assign_zero_box_or_segment<Segment>
+{};
+
+
+template <typename GeometryTag, typename Geometry>
+struct assign_inverse {};
+
+template <typename Box>
+struct assign_inverse<box_tag, Box>
+    : detail::assign::assign_inverse_box_or_segment<Box>
+{};
+
+template <typename Segment>
+struct assign_inverse<segment_tag, Segment>
+    : detail::assign::assign_inverse_box_or_segment<Segment>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Assign two coordinates to a geometry (usually a 2D point)
+\ingroup assign
+\tparam Geometry \tparam_geometry
+\tparam Type \tparam_numeric to specify the coordinates
+\param geometry \param_geometry
+\param c1 \param_x
+\param c2 \param_y
+
+\qbk{distinguish, 2 coordinate values}
+\qbk{
+[heading Example]
+[assign_2d_point] [assign_2d_point_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.make.make_2_2_coordinate_values make]
+}
+ */
+template <typename Geometry, typename Type>
+inline void assign_values(Geometry& geometry, Type const& c1, Type const& c2)
+{
+    concept::check<Geometry>();
+
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2);
+}
+
+/*!
+\brief Assign three values to a geometry (usually a 3D point)
+\ingroup assign
+\tparam Geometry \tparam_geometry
+\tparam Type \tparam_numeric to specify the coordinates
+\param geometry \param_geometry
+\param c1 \param_x
+\param c2 \param_y
+\param c3 \param_z
+
+\qbk{distinguish, 3 coordinate values}
+\qbk{
+[heading Example]
+[assign_3d_point] [assign_3d_point_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.make.make_3_3_coordinate_values make]
+}
+ */
+template <typename Geometry, typename Type>
+inline void assign_values(Geometry& geometry,
+            Type const& c1, Type const& c2, Type const& c3)
+{
+    concept::check<Geometry>();
+
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2, c3);
+}
+
+/*!
+\brief Assign four values to a geometry (usually a box or segment)
+\ingroup assign
+\tparam Geometry \tparam_geometry
+\tparam Type \tparam_numeric to specify the coordinates
+\param geometry \param_geometry
+\param c1 First coordinate (usually x1)
+\param c2 Second coordinate (usually y1)
+\param c3 Third coordinate (usually x2)
+\param c4 Fourth coordinate (usually y2)
+
+\qbk{distinguish, 4 coordinate values}
+ */
+template <typename Geometry, typename Type>
+inline void assign_values(Geometry& geometry,
+                Type const& c1, Type const& c2, Type const& c3, Type const& c4)
+{
+    concept::check<Geometry>();
+
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2, c3, c4);
+}
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_ASSIGN_VALUES_HPP

test/external/boost/geometry/algorithms/detail/calculate_null.hpp

@@ -0,0 +1,38 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_CALCULATE_NULL_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_CALCULATE_NULL_HPP
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template<typename ReturnType, typename Geometry, typename Strategy>
+struct calculate_null
+{
+    static inline ReturnType apply(Geometry const& , Strategy const&)
+    {
+        return ReturnType();
+    }
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_CALCULATE_NULL_HPP

test/external/boost/geometry/algorithms/detail/calculate_sum.hpp

@@ -0,0 +1,64 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_CALCULATE_SUM_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_CALCULATE_SUM_HPP
+
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template
+<
+    typename ReturnType,
+    typename Polygon,
+    typename Strategy,
+    typename Policy
+>
+class calculate_polygon_sum
+{
+    template <typename Rings>
+    static inline ReturnType sum_interior_rings(Rings const& rings, Strategy const& strategy)
+    {
+        ReturnType sum = ReturnType();
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            sum += Policy::apply(*it, strategy);
+        }
+        return sum;
+    }
+
+public :
+    static inline ReturnType apply(Polygon const& poly, Strategy const& strategy)
+    {
+        return Policy::apply(exterior_ring(poly), strategy)
+            + sum_interior_rings(interior_rings(poly), strategy)
+            ;
+    }
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_CALCULATE_SUM_HPP

test/external/boost/geometry/algorithms/detail/convert_point_to_point.hpp

@@ -0,0 +1,68 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_CONVERT_POINT_TO_POINT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_CONVERT_POINT_TO_POINT_HPP
+
+// Note: extracted from "convert.hpp" to avoid circular references convert/append
+
+#include <cstddef>
+
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace conversion
+{
+
+
+template <typename Source, typename Destination, std::size_t Dimension, std::size_t DimensionCount>
+struct point_to_point
+{
+    static inline void apply(Source const& source, Destination& destination)
+    {
+        typedef typename coordinate_type<Destination>::type coordinate_type;
+
+        set<Dimension>(destination, boost::numeric_cast<coordinate_type>(get<Dimension>(source)));
+        point_to_point<Source, Destination, Dimension + 1, DimensionCount>::apply(source, destination);
+    }
+};
+
+template <typename Source, typename Destination, std::size_t DimensionCount>
+struct point_to_point<Source, Destination, DimensionCount, DimensionCount>
+{
+    static inline void apply(Source const& , Destination& )
+    {}
+};
+
+
+template <typename Source, typename Destination>
+inline void convert_point_to_point(Source const& source, Destination& destination)
+{
+    point_to_point<Source, Destination, 0, dimension<Destination>::value>::apply(source, destination);
+}
+
+
+
+}} // namespace detail::conversion
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_CONVERT_POINT_TO_POINT_HPP

test/external/boost/geometry/algorithms/detail/disjoint.hpp

@@ -0,0 +1,225 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_DISJOINT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_HPP
+
+// Note: contrary to most files, the geometry::detail::disjoint namespace
+// is partly implemented in a separate file, to avoid circular references
+// disjoint -> get_turns -> disjoint
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+
+
+#include <boost/geometry/util/math.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace disjoint
+{
+
+
+struct disjoint_interrupt_policy
+{
+    static bool const enabled = true;
+    bool has_intersections;
+
+    inline disjoint_interrupt_policy()
+        : has_intersections(false)
+    {}
+
+    template <typename Range>
+    inline bool apply(Range const& range)
+    {
+        // If there is any IP in the range, it is NOT disjoint
+        if (boost::size(range) > 0)
+        {
+            has_intersections = true;
+            return true;
+        }
+        return false;
+    }
+};
+
+
+
+template
+<
+    typename Point1, typename Point2,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct point_point
+{
+    static inline bool apply(Point1 const& p1, Point2 const& p2)
+    {
+        if (! geometry::math::equals(get<Dimension>(p1), get<Dimension>(p2)))
+        {
+            return true;
+        }
+        return point_point
+            <
+                Point1, Point2,
+                Dimension + 1, DimensionCount
+            >::apply(p1, p2);
+    }
+};
+
+
+template <typename Point1, typename Point2, std::size_t DimensionCount>
+struct point_point<Point1, Point2, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Point1 const& , Point2 const& )
+    {
+        return false;
+    }
+};
+
+
+template
+<
+    typename Point, typename Box,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct point_box
+{
+    static inline bool apply(Point const& point, Box const& box)
+    {
+        if (get<Dimension>(point) < get<min_corner, Dimension>(box)
+            || get<Dimension>(point) > get<max_corner, Dimension>(box))
+        {
+            return true;
+        }
+        return point_box
+            <
+                Point, Box,
+                Dimension + 1, DimensionCount
+            >::apply(point, box);
+    }
+};
+
+
+template <typename Point, typename Box, std::size_t DimensionCount>
+struct point_box<Point, Box, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Point const& , Box const& )
+    {
+        return false;
+    }
+};
+
+
+template
+<
+    typename Box1, typename Box2,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct box_box
+{
+    static inline bool apply(Box1 const& box1, Box2 const& box2)
+    {
+        if (get<max_corner, Dimension>(box1) < get<min_corner, Dimension>(box2))
+        {
+            return true;
+        }
+        if (get<min_corner, Dimension>(box1) > get<max_corner, Dimension>(box2))
+        {
+            return true;
+        }
+        return box_box
+            <
+                Box1, Box2,
+                Dimension + 1, DimensionCount
+            >::apply(box1, box2);
+    }
+};
+
+
+template <typename Box1, typename Box2, std::size_t DimensionCount>
+struct box_box<Box1, Box2, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Box1 const& , Box2 const& )
+    {
+        return false;
+    }
+};
+
+
+
+/*!
+    \brief Internal utility function to detect of boxes are disjoint
+    \note Is used from other algorithms, declared separately
+        to avoid circular references
+ */
+template <typename Box1, typename Box2>
+inline bool disjoint_box_box(Box1 const& box1, Box2 const& box2)
+{
+    return box_box
+        <
+            Box1, Box2,
+            0, dimension<Box1>::type::value
+        >::apply(box1, box2);
+}
+
+
+
+/*!
+    \brief Internal utility function to detect of points are disjoint
+    \note To avoid circular references
+ */
+template <typename Point1, typename Point2>
+inline bool disjoint_point_point(Point1 const& point1, Point2 const& point2)
+{
+    return point_point
+        <
+            Point1, Point2,
+            0, dimension<Point1>::type::value
+        >::apply(point1, point2);
+}
+
+
+}} // namespace detail::disjoint
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace equals
+{
+
+/*!
+    \brief Internal utility function to detect of points are disjoint
+    \note To avoid circular references
+ */
+template <typename Point1, typename Point2>
+inline bool equals_point_point(Point1 const& point1, Point2 const& point2)
+{
+    return ! detail::disjoint::disjoint_point_point(point1, point2);
+}
+
+
+}} // namespace detail::equals
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_HPP

test/external/boost/geometry/algorithms/detail/equals/collect_vectors.hpp

@@ -0,0 +1,315 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_EQUALS_COLLECT_VECTORS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_EQUALS_COLLECT_VECTORS_HPP
+
+
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/util/math.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+// TODO: if Boost.LA of Emil Dotchevski is accepted, adapt this
+template <typename T>
+struct collected_vector
+{
+    typedef T type;
+
+    inline collected_vector()
+    {}
+
+    inline collected_vector(T const& px, T const& py,
+            T const& pdx, T const& pdy)
+        : x(px)
+        , y(py)
+        , dx(pdx)
+        , dy(pdy)
+        , dx_0(T())
+        , dy_0(T())
+    {}
+
+    T x, y;
+    T dx, dy;
+    T dx_0, dy_0;
+
+    // For sorting
+    inline bool operator<(collected_vector<T> const& other) const
+    {
+        if (math::equals(x, other.x))
+        {
+            if (math::equals(y, other.y))
+            {
+                if (math::equals(dx, other.dx))
+                {
+                    return dy < other.dy;
+                }
+                return dx < other.dx;
+            }
+            return y < other.y;
+        }
+        return x < other.x;
+    }
+
+    inline bool same_direction(collected_vector<T> const& other) const
+    {
+        // For high precision arithmetic, we have to be 
+        // more relaxed then using ==
+        // Because 2/sqrt( (0,0)<->(2,2) ) == 1/sqrt( (0,0)<->(1,1) ) 
+        // is not always true (at least, it is not for ttmath)
+        return math::equals_with_epsilon(dx, other.dx)
+            && math::equals_with_epsilon(dy, other.dy);
+    }
+
+    // For std::equals
+    inline bool operator==(collected_vector<T> const& other) const
+    {
+        return math::equals(x, other.x)
+            && math::equals(y, other.y)
+            && same_direction(other);
+    }
+};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace collect_vectors
+{
+
+
+template <typename Range, typename Collection>
+struct range_collect_vectors
+{
+    typedef typename boost::range_value<Collection>::type item_type;
+    typedef typename item_type::type calculation_type;
+
+    static inline void apply(Collection& collection, Range const& range)
+    {
+        if (boost::size(range) < 2)
+        {
+            return;
+        }
+
+        typedef typename boost::range_iterator<Range const>::type iterator;
+
+        bool first = true;
+        iterator it = boost::begin(range);
+
+        for (iterator prev = it++;
+            it != boost::end(range);
+            prev = it++)
+        {
+            typename boost::range_value<Collection>::type v;
+
+            v.x = get<0>(*prev);
+            v.y = get<1>(*prev);
+            v.dx = get<0>(*it) - v.x;
+            v.dy = get<1>(*it) - v.y;
+            v.dx_0 = v.dx;
+            v.dy_0 = v.dy;
+
+            // Normalize the vector -> this results in points+direction
+            // and is comparible between geometries
+            calculation_type magnitude = sqrt(
+                boost::numeric_cast<calculation_type>(v.dx * v.dx + v.dy * v.dy));
+
+            // Avoid non-duplicate points (AND division by zero)
+            if (magnitude > 0)
+            {
+                v.dx /= magnitude;
+                v.dy /= magnitude;
+
+                // Avoid non-direction changing points
+                if (first || ! v.same_direction(collection.back()))
+                {
+                    collection.push_back(v);
+                }
+                first = false;
+            }
+        }
+
+        // If first one has same direction as last one, remove first one
+        if (boost::size(collection) > 1 
+            && collection.front().same_direction(collection.back()))
+        {
+            collection.erase(collection.begin());
+        }
+    }
+};
+
+
+template <typename Box, typename Collection>
+struct box_collect_vectors
+{
+    // Calculate on coordinate type, but if it is integer,
+    // then use double
+    typedef typename boost::range_value<Collection>::type item_type;
+    typedef typename item_type::type calculation_type;
+
+    static inline void apply(Collection& collection, Box const& box)
+    {
+        typename point_type<Box>::type lower_left, lower_right,
+                upper_left, upper_right;
+        geometry::detail::assign_box_corners(box, lower_left, lower_right,
+                upper_left, upper_right);
+
+        typedef typename boost::range_value<Collection>::type item;
+
+        collection.push_back(item(get<0>(lower_left), get<1>(lower_left), 0, 1));
+        collection.push_back(item(get<0>(upper_left), get<1>(upper_left), 1, 0));
+        collection.push_back(item(get<0>(upper_right), get<1>(upper_right), 0, -1));
+        collection.push_back(item(get<0>(lower_right), get<1>(lower_right), -1, 0));
+    }
+};
+
+
+template <typename Polygon, typename Collection>
+struct polygon_collect_vectors
+{
+    static inline void apply(Collection& collection, Polygon const& polygon)
+    {
+        typedef typename geometry::ring_type<Polygon>::type ring_type;
+
+        typedef range_collect_vectors<ring_type, Collection> per_range;
+        per_range::apply(collection, exterior_ring(polygon));
+
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(polygon);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            per_range::apply(collection, *it);
+        }
+    }
+};
+
+
+template <typename MultiGeometry, typename Collection, typename SinglePolicy>
+struct multi_collect_vectors
+{
+    static inline void apply(Collection& collection, MultiGeometry const& multi)
+    {
+        for (typename boost::range_iterator<MultiGeometry const>::type
+                it = boost::begin(multi);
+            it != boost::end(multi);
+            ++it)
+        {
+            SinglePolicy::apply(collection, *it);
+        }
+    }
+};
+
+
+}} // namespace detail::collect_vectors
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename Collection,
+    typename Geometry
+>
+struct collect_vectors
+{
+    static inline void apply(Collection&, Geometry const&)
+    {}
+};
+
+
+template <typename Collection, typename Box>
+struct collect_vectors<box_tag, Collection, Box>
+    : detail::collect_vectors::box_collect_vectors<Box, Collection>
+{};
+
+
+
+template <typename Collection, typename Ring>
+struct collect_vectors<ring_tag, Collection, Ring>
+    : detail::collect_vectors::range_collect_vectors<Ring, Collection>
+{};
+
+
+template <typename Collection, typename LineString>
+struct collect_vectors<linestring_tag, Collection, LineString>
+    : detail::collect_vectors::range_collect_vectors<LineString, Collection>
+{};
+
+
+template <typename Collection, typename Polygon>
+struct collect_vectors<polygon_tag, Collection, Polygon>
+    : detail::collect_vectors::polygon_collect_vectors<Polygon, Collection>
+{};
+
+
+template <typename Collection, typename MultiPolygon>
+struct collect_vectors<multi_polygon_tag, Collection, MultiPolygon>
+    : detail::collect_vectors::multi_collect_vectors
+        <
+            MultiPolygon,
+            Collection,
+            detail::collect_vectors::polygon_collect_vectors
+            <
+                typename boost::range_value<MultiPolygon>::type,
+                Collection
+            >
+        >
+{};
+
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+    \ingroup collect_vectors
+    \tparam Collection Collection type, should be e.g. std::vector<>
+    \tparam Geometry geometry type
+    \param collection the collection of vectors
+    \param geometry the geometry to make collect_vectors
+*/
+template <typename Collection, typename Geometry>
+inline void collect_vectors(Collection& collection, Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+    dispatch::collect_vectors
+        <
+            typename tag<Geometry>::type,
+            Collection,
+            Geometry
+        >::apply(collection, geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_EQUALS_COLLECT_VECTORS_HPP

test/external/boost/geometry/algorithms/detail/for_each_range.hpp

@@ -0,0 +1,125 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_FOR_EACH_RANGE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_FOR_EACH_RANGE_HPP
+
+
+#include <boost/concept/requires.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/util/add_const_if_c.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace for_each
+{
+
+
+template <typename Range, typename Actor, bool IsConst>
+struct fe_range_range
+{
+    static inline void apply(
+                    typename add_const_if_c<IsConst, Range>::type& range,
+                    Actor& actor)
+    {
+        actor.apply(range);
+    }
+};
+
+
+template <typename Polygon, typename Actor, bool IsConst>
+struct fe_range_polygon
+{
+    static inline void apply(
+                    typename add_const_if_c<IsConst, Polygon>::type& polygon,
+                    Actor& actor)
+    {
+        actor.apply(exterior_ring(polygon));
+
+        // TODO: If some flag says true, also do the inner rings.
+        // for convex hull, it's not necessary
+    }
+};
+
+
+}} // namespace detail::for_each
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename Actor,
+    bool IsConst
+>
+struct for_each_range {};
+
+
+template <typename Linestring, typename Actor, bool IsConst>
+struct for_each_range<linestring_tag, Linestring, Actor, IsConst>
+    : detail::for_each::fe_range_range<Linestring, Actor, IsConst>
+{};
+
+
+template <typename Ring, typename Actor, bool IsConst>
+struct for_each_range<ring_tag, Ring, Actor, IsConst>
+    : detail::for_each::fe_range_range<Ring, Actor, IsConst>
+{};
+
+
+template <typename Polygon, typename Actor, bool IsConst>
+struct for_each_range<polygon_tag, Polygon, Actor, IsConst>
+    : detail::for_each::fe_range_polygon<Polygon, Actor, IsConst>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+namespace detail
+{
+
+template <typename Geometry, typename Actor>
+inline void for_each_range(Geometry const& geometry, Actor& actor)
+{
+    dispatch::for_each_range
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Actor,
+            true
+        >::apply(geometry, actor);
+}
+
+
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_FOR_EACH_RANGE_HPP

test/external/boost/geometry/algorithms/detail/has_self_intersections.hpp

@@ -0,0 +1,120 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011 Barend Gehrels, 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_DETAIL_HAS_SELF_INTERSECTIONS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_HAS_SELF_INTERSECTIONS_HPP
+
+#include <deque>
+
+#include <boost/range.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+#include <boost/geometry/algorithms/detail/overlay/self_turn_points.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp>
+
+#ifdef BOOST_GEOMETRY_DEBUG_HAS_SELF_INTERSECTIONS
+#  include <boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp>
+#  include <boost/geometry/util/write_dsv.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+
+#if ! defined(BOOST_GEOMETRY_OVERLAY_NO_THROW)
+
+/*!
+\brief Overlay Invalid Input Exception
+\ingroup overlay
+\details The overlay_invalid_input_exception is thrown at invalid input
+ */
+class overlay_invalid_input_exception : public geometry::exception
+{
+public:
+
+    inline overlay_invalid_input_exception() {}
+
+    virtual char const* what() const throw()
+    {
+        return "Boost.Geometry Overlay invalid input exception";
+    }
+};
+
+#endif
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template <typename Geometry>
+inline bool has_self_intersections(Geometry const& geometry)
+{
+    typedef typename point_type<Geometry>::type point_type;
+    typedef detail::overlay::turn_info<point_type> turn_info;
+    std::deque<turn_info> turns;
+    detail::disjoint::disjoint_interrupt_policy policy;
+    geometry::self_turns<detail::overlay::assign_null_policy>(geometry, turns, policy);
+    
+#ifdef BOOST_GEOMETRY_DEBUG_HAS_SELF_INTERSECTIONS
+    bool first = true;
+#endif    
+    for(typename std::deque<turn_info>::const_iterator it = boost::begin(turns); 
+        it != boost::end(turns); ++it)
+    {
+        turn_info const& info = *it;
+        bool const both_union_turn = 
+            info.operations[0].operation == detail::overlay::operation_union
+            && info.operations[1].operation == detail::overlay::operation_union;
+        bool const both_intersection_turn = 
+            info.operations[0].operation == detail::overlay::operation_intersection
+            && info.operations[1].operation == detail::overlay::operation_intersection;
+
+        bool const valid = (both_union_turn || both_intersection_turn)
+            && (info.method == detail::overlay::method_touch
+                || info.method == detail::overlay::method_touch_interior);
+
+        if (! valid)
+        {
+#ifdef BOOST_GEOMETRY_DEBUG_HAS_SELF_INTERSECTIONS
+            if (first)
+            {
+                std::cout << "turn points: " << std::endl;
+                first = false;
+            }
+            std::cout << method_char(info.method);
+            for (int i = 0; i < 2; i++)
+            {
+                std::cout << " " << operation_char(info.operations[i].operation);
+            }
+            std::cout << " " << geometry::dsv(info.point) << std::endl;
+#endif
+
+#if ! defined(BOOST_GEOMETRY_OVERLAY_NO_THROW)
+            throw overlay_invalid_input_exception();
+#endif
+        }
+
+    }
+    return false;
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_HAS_SELF_INTERSECTIONS_HPP
+

test/external/boost/geometry/algorithms/detail/not.hpp

@@ -0,0 +1,50 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_NOT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_NOT_HPP
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+
+/*!
+\brief Structure negating the result of specified policy
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Policy
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return Negation of the result of the policy
+ */
+template <typename Geometry1, typename Geometry2, typename Policy>
+struct not_
+{
+    static inline bool apply(Geometry1 const &geometry1, Geometry2 const& geometry2)
+    {
+        return ! Policy::apply(geometry1, geometry2);
+    }
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_NOT_HPP

test/external/boost/geometry/algorithms/detail/overlay/add_rings.hpp

@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_ADD_RINGS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ADD_RINGS_HPP
+
+#include <boost/geometry/algorithms/detail/overlay/convert_ring.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_ring.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename RingCollection
+>
+inline void convert_and_add(GeometryOut& result,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            RingCollection const& collection,
+            ring_identifier id,
+            bool reversed, bool append)
+{
+    typedef typename geometry::tag<Geometry1>::type tag1;
+    typedef typename geometry::tag<Geometry2>::type tag2;
+    typedef typename geometry::tag<GeometryOut>::type tag_out;
+
+    if (id.source_index == 0)
+    {
+        convert_ring<tag_out>::apply(result,
+                    get_ring<tag1>::apply(id, geometry1),
+                    append, reversed);
+    }
+    else if (id.source_index == 1)
+    {
+        convert_ring<tag_out>::apply(result,
+                    get_ring<tag2>::apply(id, geometry2),
+                    append, reversed);
+    }
+    else if (id.source_index == 2)
+    {
+        convert_ring<tag_out>::apply(result,
+                    get_ring<void>::apply(id, collection),
+                    append, reversed);
+    }
+}
+
+template
+<
+    typename GeometryOut,
+    typename SelectionMap,
+    typename Geometry1,
+    typename Geometry2,
+    typename RingCollection,
+    typename OutputIterator
+>
+inline OutputIterator add_rings(SelectionMap const& map,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            RingCollection const& collection,
+            OutputIterator out)
+{
+    typedef typename SelectionMap::const_iterator iterator;
+
+    for (iterator it = boost::begin(map);
+        it != boost::end(map);
+        ++it)
+    {
+        if (! it->second.discarded
+            && it->second.parent.source_index == -1)
+        {
+            GeometryOut result;
+            convert_and_add(result, geometry1, geometry2, collection,
+                    it->first, it->second.reversed, false);
+
+            // Add children
+            for (typename std::vector<ring_identifier>::const_iterator child_it
+                        = it->second.children.begin();
+                child_it != it->second.children.end();
+                ++child_it)
+            {
+                iterator mit = map.find(*child_it);
+                if (mit != map.end()
+                    && ! mit->second.discarded)
+                {
+                    convert_and_add(result, geometry1, geometry2, collection,
+                            *child_it, mit->second.reversed, true);
+                }
+            }
+            *out++ = result;
+        }
+    }
+    return out;
+}
+
+
+template
+<
+    typename GeometryOut,
+    typename SelectionMap,
+    typename Geometry,
+    typename RingCollection,
+    typename OutputIterator
+>
+inline OutputIterator add_rings(SelectionMap const& map,
+            Geometry const& geometry,
+            RingCollection const& collection,
+            OutputIterator out)
+{
+    Geometry empty;
+    return add_rings<GeometryOut>(map, geometry, empty, collection, out);
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ADD_RINGS_HPP

test/external/boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp

@@ -0,0 +1,53 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_APPEND_NO_DUPLICATES_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_APPEND_NO_DUPLICATES_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template <typename Range, typename Point>
+inline void append_no_duplicates(Range& range, Point const& point, bool force = false)
+{
+    if (boost::size(range) == 0
+        || force 
+        || ! geometry::detail::equals::equals_point_point(*(boost::end(range)-1), point))
+    {
+#ifdef BOOST_GEOMETRY_DEBUG_INTERSECTION
+        std::cout << "  add: ("
+            << geometry::get<0>(point) << ", " << geometry::get<1>(point) << ")"
+            << std::endl;
+#endif
+        geometry::append(range, point);
+    }
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_APPEND_NO_DUPLICATES_HPP

test/external/boost/geometry/algorithms/detail/overlay/assign_parents.hpp

@@ -0,0 +1,337 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_ASSIGN_PARENTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ASSIGN_PARENTS_HPP
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/envelope.hpp>
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/algorithms/detail/partition.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_ring.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+
+#include <boost/geometry/geometries/box.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+
+template
+<
+    typename Item,
+    typename Geometry1, typename Geometry2,
+    typename RingCollection
+>
+static inline bool within_selected_input(Item const& item2, ring_identifier const& ring_id,
+        Geometry1 const& geometry1, Geometry2 const& geometry2,
+        RingCollection const& collection)
+{
+    typedef typename geometry::tag<Geometry1>::type tag1;
+    typedef typename geometry::tag<Geometry2>::type tag2;
+
+    switch (ring_id.source_index)
+    {
+        case 0 :
+            return geometry::within(item2.point,
+                get_ring<tag1>::apply(ring_id, geometry1));
+            break;
+        case 1 :
+            return geometry::within(item2.point,
+                get_ring<tag2>::apply(ring_id, geometry2));
+            break;
+        case 2 :
+            return geometry::within(item2.point,
+                get_ring<void>::apply(ring_id, collection));
+            break;
+    }
+    return false;
+}
+
+
+template <typename Point>
+struct ring_info_helper
+{
+    typedef typename geometry::default_area_result<Point>::type area_type;
+
+    ring_identifier id;
+    area_type real_area;
+    area_type abs_area;
+    model::box<Point> envelope;
+
+    inline ring_info_helper()
+        : real_area(0), abs_area(0)
+    {}
+
+    inline ring_info_helper(ring_identifier i, area_type a)
+        : id(i), real_area(a), abs_area(geometry::math::abs(a))
+    {}
+};
+
+
+struct ring_info_helper_get_box
+{
+    template <typename Box, typename InputItem>
+    static inline void apply(Box& total, InputItem const& item)
+    {
+        geometry::expand(total, item.envelope);
+    }
+};
+
+struct ring_info_helper_ovelaps_box
+{
+    template <typename Box, typename InputItem>
+    static inline bool apply(Box const& box, InputItem const& item)
+    {
+        return ! geometry::detail::disjoint::disjoint_box_box(box, item.envelope);
+    }
+};
+
+template <typename Geometry1, typename Geometry2, typename Collection, typename RingMap>
+struct assign_visitor
+{
+    typedef typename RingMap::mapped_type ring_info_type;
+
+    Geometry1 const& m_geometry1;
+    Geometry2 const& m_geometry2;
+    Collection const& m_collection;
+    RingMap& m_ring_map;
+    bool m_check_for_orientation;
+
+
+    inline assign_visitor(Geometry1 const& g1, Geometry2 const& g2, Collection const& c,
+                RingMap& map, bool check)
+        : m_geometry1(g1)
+        , m_geometry2(g2)
+        , m_collection(c)
+        , m_ring_map(map)
+        , m_check_for_orientation(check)
+    {}
+
+    template <typename Item>
+    inline void apply(Item const& outer, Item const& inner, bool first = true)
+    {
+        if (first && outer.real_area < 0)
+        {
+            // Reverse arguments
+            apply(inner, outer, false);
+            return;
+        }
+
+        if (outer.real_area > 0)
+        {
+            if (inner.real_area < 0 || m_check_for_orientation)
+            {
+                ring_info_type& inner_in_map = m_ring_map[inner.id];
+
+                if (geometry::within(inner_in_map.point, outer.envelope)
+                   && within_selected_input(inner_in_map, outer.id, m_geometry1, m_geometry2, m_collection)
+                   )
+                {
+                    // Only assign parent if that parent is smaller (or if it is the first)
+                    if (inner_in_map.parent.source_index == -1
+                        || outer.abs_area < inner_in_map.parent_area)
+                    {
+                        inner_in_map.parent = outer.id;
+                        inner_in_map.parent_area = outer.abs_area;
+                    }
+                }
+            }
+        }
+    }
+};
+
+
+
+
+template
+<
+    typename Geometry1, typename Geometry2,
+    typename RingCollection,
+    typename RingMap
+>
+inline void assign_parents(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            RingCollection const& collection,
+            RingMap& ring_map,
+            bool check_for_orientation = false)
+{
+    typedef typename geometry::tag<Geometry1>::type tag1;
+    typedef typename geometry::tag<Geometry2>::type tag2;
+
+    typedef typename RingMap::mapped_type ring_info_type;
+    typedef typename ring_info_type::point_type point_type;
+    typedef model::box<point_type> box_type;
+
+    typedef typename RingMap::iterator map_iterator_type;
+
+    {
+        typedef ring_info_helper<point_type> helper;
+        typedef std::vector<helper> vector_type;
+        typedef typename boost::range_iterator<vector_type const>::type vector_iterator_type;
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        boost::timer timer;
+#endif
+
+
+        std::size_t count_total = ring_map.size();
+        std::size_t count_positive = 0;
+        std::size_t index_positive = 0; // only used if count_positive>0
+        std::size_t index = 0;
+
+        // Copy to vector (with new approach this might be obsolete as well, using the map directly)
+        vector_type vector(count_total);
+
+        for (map_iterator_type it = boost::begin(ring_map);
+            it != boost::end(ring_map); ++it, ++index)
+        {
+            vector[index] = helper(it->first, it->second.get_area());
+            helper& item = vector[index];
+            switch(it->first.source_index)
+            {
+                case 0 :
+                    geometry::envelope(get_ring<tag1>::apply(it->first, geometry1),
+                            item.envelope);
+                    break;
+                case 1 :
+                    geometry::envelope(get_ring<tag2>::apply(it->first, geometry2),
+                            item.envelope);
+                    break;
+                case 2 :
+                    geometry::envelope(get_ring<void>::apply(it->first, collection),
+                            item.envelope);
+                    break;
+            }
+            if (item.real_area > 0)
+            {
+                count_positive++;
+                index_positive = index;
+            }
+        }
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << " ap: created helper vector: " << timer.elapsed() << std::endl;
+#endif
+
+        if (! check_for_orientation)
+        {
+            if (count_positive == count_total)
+            {
+                // Optimization for only positive rings
+                // -> no assignment of parents or reversal necessary, ready here.
+                return;
+            }
+
+            if (count_positive == 1)
+            {
+                // Optimization for one outer ring
+                // -> assign this as parent to all others (all interior rings)
+                // In unions, this is probably the most occuring case and gives
+                //    a dramatic improvement (factor 5 for star_comb testcase)
+                ring_identifier id_of_positive = vector[index_positive].id;
+                ring_info_type& outer = ring_map[id_of_positive];
+                std::size_t index = 0;
+                for (vector_iterator_type it = boost::begin(vector);
+                    it != boost::end(vector); ++it, ++index)
+                {
+                    if (index != index_positive)
+                    {
+                        ring_info_type& inner = ring_map[it->id];
+                        inner.parent = id_of_positive;
+                        outer.children.push_back(it->id);
+                    }
+                }
+                return;
+            }
+        }
+
+        assign_visitor
+            <
+                Geometry1, Geometry2,
+                RingCollection, RingMap
+            > visitor(geometry1, geometry2, collection, ring_map, check_for_orientation);
+
+        geometry::partition
+            <
+                box_type, ring_info_helper_get_box, ring_info_helper_ovelaps_box
+            >::apply(vector, visitor);
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << " ap: quadradic loop: " << timer.elapsed() << std::endl;
+        std::cout << " ap: check_for_orientation " << check_for_orientation << std::endl;
+#endif
+    }
+
+    if (check_for_orientation)
+    {
+        for (map_iterator_type it = boost::begin(ring_map);
+            it != boost::end(ring_map); ++it)
+        {
+            if (geometry::math::equals(it->second.get_area(), 0))
+            {
+                it->second.discarded = true;
+            }
+            else if (it->second.parent.source_index >= 0 && it->second.get_area() > 0)
+            {
+                // Discard positive inner ring with parent
+                it->second.discarded = true;
+                it->second.parent.source_index = -1;
+            }
+            else if (it->second.parent.source_index < 0 && it->second.get_area() < 0)
+            {
+                // Reverse negative ring without parent
+                it->second.reversed = true;
+            }
+        }
+    }
+
+    // Assign childlist
+    for (map_iterator_type it = boost::begin(ring_map);
+        it != boost::end(ring_map); ++it)
+    {
+        if (it->second.parent.source_index >= 0)
+        {
+            ring_map[it->second.parent].children.push_back(it->first);
+        }
+    }
+}
+
+template
+<
+    typename Geometry,
+    typename RingCollection,
+    typename RingMap
+>
+inline void assign_parents(Geometry const& geometry,
+            RingCollection const& collection,
+            RingMap& ring_map)
+{
+    // Call it with an empty geometry
+    // (ring_map should be empty for source_id==1)
+
+    Geometry empty;
+    assign_parents(geometry, empty, collection, ring_map, true);
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ASSIGN_PARENTS_HPP

test/external/boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp

@@ -0,0 +1,181 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_BACKTRACK_CHECK_SI_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_BACKTRACK_CHECK_SI_HPP
+
+
+#include <cstddef>
+
+#include <string>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/core/access.hpp>
+
+#  include <boost/geometry/algorithms/detail/has_self_intersections.hpp>
+
+
+#if defined(BOOST_GEOMETRY_DEBUG_INTERSECTION) || defined(BOOST_GEOMETRY_OVERLAY_REPORT_WKT)
+#  include <boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp>
+#  include <boost/geometry/domains/gis/io/wkt/wkt.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template <typename Turns>
+inline void clear_visit_info(Turns& turns)
+{
+    typedef typename boost::range_value<Turns>::type tp_type;
+
+    for (typename boost::range_iterator<Turns>::type
+        it = boost::begin(turns);
+        it != boost::end(turns);
+        ++it)
+    {
+        for (typename boost::range_iterator
+            <
+                typename tp_type::container_type
+            >::type op_it = boost::begin(it->operations);
+            op_it != boost::end(it->operations);
+            ++op_it)
+        {
+            op_it->visited.clear();
+        }
+        it->discarded = false;
+    }
+}
+
+struct backtrack_state
+{
+    bool m_good;
+    
+    inline backtrack_state() : m_good(true) {}         
+    inline void reset() { m_good = true; }
+    inline bool good() const { return m_good; }
+};
+
+
+template
+<
+    typename Geometry1,
+    typename Geometry2
+>
+class backtrack_check_self_intersections
+{
+    struct state : public backtrack_state
+    {
+        bool m_checked;
+        inline state()
+            : m_checked()
+        {}
+    };
+public :
+    typedef state state_type;
+
+    template <typename Operation, typename Rings, typename Turns>
+    static inline void apply(std::size_t size_at_start, 
+                Rings& rings, typename boost::range_value<Rings>::type& ring,
+                Turns& turns, Operation& operation,
+                std::string const& ,
+                Geometry1 const& geometry1,
+                Geometry2 const& geometry2,
+                state_type& state
+                )
+    {
+        state.m_good = false;
+        
+        // Check self-intersections and throw exception if appropriate
+        if (! state.m_checked)
+        {
+            state.m_checked = true;
+            has_self_intersections(geometry1);
+            has_self_intersections(geometry2);
+        }
+
+        // Make bad output clean
+        rings.resize(size_at_start);
+        ring.clear();
+
+        // Reject this as a starting point
+        operation.visited.set_rejected();
+
+        // And clear all visit info
+        clear_visit_info(turns);
+    }
+};
+
+#ifdef BOOST_GEOMETRY_OVERLAY_REPORT_WKT
+template
+<
+    typename Geometry1,
+    typename Geometry2
+>
+class backtrack_debug
+{
+public :
+    typedef backtrack_state state_type;
+
+    template <typename Operation, typename Rings, typename Turns>
+    static inline void apply(std::size_t size_at_start, 
+                Rings& rings, typename boost::range_value<Rings>::type& ring,
+                Turns& turns, Operation& operation,
+                std::string const& reason,
+                Geometry1 const& geometry1,
+                Geometry2 const& geometry2,
+                state_type& state
+                )
+    {
+        std::cout << " REJECT " << reason << std::endl;
+        
+        state.m_good = false;
+
+        rings.resize(size_at_start);
+        ring.clear();
+        operation.visited.set_rejected();
+        clear_visit_info(turns);
+
+        int c = 0;
+        for (int i = 0; i < turns.size(); i++)
+        {
+            for (int j = 0; j < 2; j++)
+            {
+                if (turns[i].operations[j].visited.rejected())
+                {
+                    c++;
+                }
+            }
+        }
+        std::cout << "BACKTRACK (" << reason << " )"
+            << " " << c << " of " << turns.size() << " rejected"
+            << std::endl;
+        std::cout
+            << geometry::wkt(geometry1) << std::endl
+            << geometry::wkt(geometry2) << std::endl;
+    }
+};
+#endif // BOOST_GEOMETRY_OVERLAY_REPORT_WKT
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_BACKTRACK_CHECK_SI_HPP

test/external/boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp

@@ -0,0 +1,52 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_CALCULATE_DISTANCE_POLICY_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CALCULATE_DISTANCE_POLICY_HPP
+
+
+#include <boost/geometry/algorithms/comparable_distance.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+/*!
+    \brief Policy calculating distance
+    \details get_turn_info has an optional policy to get some
+        extra information.
+        This policy calculates the distance (using default distance strategy)
+ */
+struct calculate_distance_policy
+{
+    template <typename Point1, typename Point2, typename Info>
+    static inline void apply(Info& info, Point1 const& p1, Point2 const& p2)
+    {
+        info.operations[0].enriched.distance
+                    = geometry::comparable_distance(info.point, p1);
+        info.operations[1].enriched.distance
+                    = geometry::comparable_distance(info.point, p2);
+    }
+
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CALCULATE_DISTANCE_POLICY_HPP

test/external/boost/geometry/algorithms/detail/overlay/check_enrich.hpp

@@ -0,0 +1,172 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_CHECK_ENRICH_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CHECK_ENRICH_HPP
+
+
+#include <cstddef>
+
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+
+
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template<typename Turn>
+struct meta_turn
+{
+    int index;
+    Turn const* turn;
+    bool handled[2];
+
+    inline meta_turn(int i, Turn const& t)
+        : index(i), turn(&t)
+    {
+        handled[0] = false;
+        handled[1] = false;
+    }
+};
+
+
+template <typename MetaTurn>
+inline void display(MetaTurn const& meta_turn, std::string const& reason = "")
+{
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    std::cout << meta_turn.index
+        << "\tMethods: " << method_char(meta_turn.turn->method)
+        << " operations: "  << operation_char(meta_turn.turn->operations[0].operation)
+                << operation_char(meta_turn.turn->operations[1].operation)
+        << " travels to " << meta_turn.turn->operations[0].enriched.travels_to_ip_index
+        << " and " << meta_turn.turn->operations[1].enriched.travels_to_ip_index
+        //<< " -> " << op_index
+        << " " << reason
+        << std::endl;
+#endif
+}
+
+
+template <typename MetaTurns, typename MetaTurn>
+inline void check_detailed(MetaTurns& meta_turns, MetaTurn const& meta_turn,
+            int op_index, int cycle, int start, operation_type for_operation,
+            bool& error)
+{
+    display(meta_turn);
+    int const ip_index = meta_turn.turn->operations[op_index].enriched.travels_to_ip_index;
+    if (ip_index >= 0)
+    {
+        bool found = false;
+
+        if (ip_index == start)
+        {
+            display(meta_turns[ip_index], " FINISH");
+            return;
+        }
+
+        // check on continuing, or on same-operation-on-same-geometry
+        if (! meta_turns[ip_index].handled[op_index]
+            && (meta_turns[ip_index].turn->operations[op_index].operation == operation_continue
+                || meta_turns[ip_index].turn->operations[op_index].operation == for_operation)
+            )
+        {
+            meta_turns[ip_index].handled[op_index] = true;
+            check_detailed(meta_turns, meta_turns[ip_index], op_index, cycle, start, for_operation, error);
+            found = true;
+        }
+        // check on other geometry
+        if (! found)
+        {
+            int const other_index = 1 - op_index;
+            if (! meta_turns[ip_index].handled[other_index]
+                && meta_turns[ip_index].turn->operations[other_index].operation == for_operation)
+            {
+                meta_turns[ip_index].handled[other_index] = true;
+                check_detailed(meta_turns, meta_turns[ip_index], other_index, cycle, start, for_operation, error);
+                found = true;
+            }
+        }
+
+        if (! found)
+        {
+            display(meta_turns[ip_index], " STOP");
+            error = true;
+#ifndef BOOST_GEOMETRY_DEBUG_ENRICH
+            //std::cout << " STOP";
+#endif
+        }
+    }
+}
+
+
+template <typename TurnPoints>
+inline bool check_graph(TurnPoints& turn_points, operation_type for_operation)
+{
+    typedef typename boost::range_value<TurnPoints>::type turn_point_type;
+
+    bool error = false;
+    int index = 0;
+
+    std::vector<meta_turn<turn_point_type> > meta_turns;
+    for (typename boost::range_iterator<TurnPoints const>::type
+            it = boost::begin(turn_points);
+         it != boost::end(turn_points);
+         ++it, ++index)
+    {
+        meta_turns.push_back(meta_turn<turn_point_type>(index, *it));
+    }
+
+    int cycle = 0;
+    for (typename boost::range_iterator<std::vector<meta_turn<turn_point_type> > > ::type
+            it = boost::begin(meta_turns);
+         it != boost::end(meta_turns);
+         ++it)
+    {
+        if (! (it->turn->blocked() || it->turn->is_discarded()))
+        {
+            for (int i = 0 ; i < 2; i++)
+            {
+                if (! it->handled[i]
+                    && it->turn->operations[i].operation == for_operation)
+                {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+                    std::cout << "CYCLE " << cycle << std::endl;
+#endif
+                    it->handled[i] = true;
+                    check_detailed(meta_turns, *it, i, cycle++, it->index, for_operation, error);
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+                    std::cout <<" END CYCLE " << it->index << std::endl;
+#endif
+                }
+            }
+        }
+    }
+    return error;
+}
+
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CHECK_ENRICH_HPP

test/external/boost/geometry/algorithms/detail/overlay/clip_linestring.hpp

@@ -0,0 +1,242 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_CLIP_LINESTRING_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CLIP_LINESTRING_HPP
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace intersection
+{
+
+/*!
+    \brief Strategy: line clipping algorithm after Liang Barsky
+    \ingroup overlay
+    \details The Liang-Barsky line clipping algorithm clips a line with a clipping box.
+    It is slightly adapted in the sense that it returns which points are clipped
+    \tparam B input box type of clipping box
+    \tparam P input/output point-type of segments to be clipped
+    \note The algorithm is currently only implemented for 2D Cartesian points
+    \note Though it is implemented in namespace strategy, and theoretically another
+        strategy could be used, it is not (yet) updated to the general strategy concepts,
+        and not (yet) splitted into a file in folder strategies
+    \author Barend Gehrels, and the following recourses
+    - A tutorial: http://www.skytopia.com/project/articles/compsci/clipping.html
+    - a German applet (link broken): http://ls7-www.cs.uni-dortmund.de/students/projectgroups/acit/lineclip.shtml
+*/
+template<typename Box, typename Point>
+class liang_barsky
+{
+private:
+    typedef model::referring_segment<Point> segment_type;
+
+    template <typename T>
+    inline bool check_edge(T const& p, T const& q, T& t1, T& t2) const
+    {
+        bool visible = true;
+
+        if(p < 0)
+        {
+            T const r = q / p;
+            if (r > t2)
+                visible = false;
+            else if (r > t1)
+                t1 = r;
+        }
+        else if(p > 0)
+        {
+            T const r = q / p;
+            if (r < t1)
+                visible = false;
+            else if (r < t2)
+                t2 = r;
+        }
+        else
+        {
+            if (q < 0)
+                visible = false;
+        }
+
+        return visible;
+    }
+
+public:
+
+    inline bool clip_segment(Box const& b, segment_type& s, bool& sp1_clipped, bool& sp2_clipped) const
+    {
+        typedef typename select_coordinate_type<Box, Point>::type coordinate_type;
+
+        coordinate_type t1 = 0;
+        coordinate_type t2 = 1;
+
+        coordinate_type const dx = get<1, 0>(s) - get<0, 0>(s);
+        coordinate_type const dy = get<1, 1>(s) - get<0, 1>(s);
+
+        coordinate_type const p1 = -dx;
+        coordinate_type const p2 = dx;
+        coordinate_type const p3 = -dy;
+        coordinate_type const p4 = dy;
+
+        coordinate_type const q1 = get<0, 0>(s) - get<min_corner, 0>(b);
+        coordinate_type const q2 = get<max_corner, 0>(b) - get<0, 0>(s);
+        coordinate_type const q3 = get<0, 1>(s) - get<min_corner, 1>(b);
+        coordinate_type const q4 = get<max_corner, 1>(b) - get<0, 1>(s);
+
+        if (check_edge(p1, q1, t1, t2)      // left
+            && check_edge(p2, q2, t1, t2)   // right
+            && check_edge(p3, q3, t1, t2)   // bottom
+            && check_edge(p4, q4, t1, t2))   // top
+        {
+            sp1_clipped = t1 > 0;
+            sp2_clipped = t2 < 1;
+
+            if (sp2_clipped)
+            {
+                set<1, 0>(s, get<0, 0>(s) + t2 * dx);
+                set<1, 1>(s, get<0, 1>(s) + t2 * dy);
+            }
+
+            if(sp1_clipped)
+            {
+                set<0, 0>(s, get<0, 0>(s) + t1 * dx);
+                set<0, 1>(s, get<0, 1>(s) + t1 * dy);
+            }
+
+            return true;
+        }
+
+        return false;
+    }
+
+    template<typename Linestring, typename OutputIterator>
+    inline void apply(Linestring& line_out, OutputIterator out) const
+    {
+        if (!boost::empty(line_out))
+        {
+            *out = line_out;
+            ++out;
+            geometry::clear(line_out);
+        }
+    }
+};
+
+
+}} // namespace strategy::intersection
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace intersection
+{
+
+/*!
+    \brief Clips a linestring with a box
+    \details A linestring is intersected (clipped) by the specified box
+    and the resulting linestring, or pieces of linestrings, are sent to the specified output operator.
+    \tparam OutputLinestring type of the output linestrings
+    \tparam OutputIterator an output iterator which outputs linestrings
+    \tparam Linestring linestring-type, for example a vector of points, matching the output-iterator type,
+         the points should also match the input-iterator type
+    \tparam Box box type
+    \tparam Strategy strategy, a clipping strategy which should implement the methods "clip_segment" and "apply"
+*/
+template
+<
+    typename OutputLinestring,
+    typename OutputIterator,
+    typename Range,
+    typename Box,
+    typename Strategy
+>
+OutputIterator clip_range_with_box(Box const& b, Range const& range,
+            OutputIterator out, Strategy const& strategy)
+{
+    if (boost::begin(range) == boost::end(range))
+    {
+        return out;
+    }
+
+    typedef typename point_type<OutputLinestring>::type point_type;
+
+    OutputLinestring line_out;
+
+    typedef typename boost::range_iterator<Range const>::type iterator_type;
+    iterator_type vertex = boost::begin(range);
+    for(iterator_type previous = vertex++;
+            vertex != boost::end(range);
+            ++previous, ++vertex)
+    {
+        point_type p1, p2;
+        geometry::convert(*previous, p1);
+        geometry::convert(*vertex, p2);
+
+        // Clip the segment. Five situations:
+        // 1. Segment is invisible, finish line if any (shouldn't occur)
+        // 2. Segment is completely visible. Add (p1)-p2 to line
+        // 3. Point 1 is invisible (clipped), point 2 is visible. Start new line from p1-p2...
+        // 4. Point 1 is visible, point 2 is invisible (clipped). End the line with ...p2
+        // 5. Point 1 and point 2 are both invisible (clipped). Start/finish an independant line p1-p2
+        //
+        // This results in:
+        // a. if p1 is clipped, start new line
+        // b. if segment is partly or completely visible, add the segment
+        // c. if p2 is clipped, end the line
+
+        bool c1 = false;
+        bool c2 = false;
+        model::referring_segment<point_type> s(p1, p2);
+
+        if (!strategy.clip_segment(b, s, c1, c2))
+        {
+            strategy.apply(line_out, out);
+        }
+        else
+        {
+            // a. If necessary, finish the line and add a start a new one
+            if (c1)
+            {
+                strategy.apply(line_out, out);
+            }
+
+            // b. Add p1 only if it is the first point, then add p2
+            if (boost::empty(line_out))
+            {
+                detail::overlay::append_no_duplicates(line_out, p1, true);
+            }
+            detail::overlay::append_no_duplicates(line_out, p2);
+
+            // c. If c2 is clipped, finish the line
+            if (c2)
+            {
+                strategy.apply(line_out, out);
+            }
+        }
+
+    }
+
+    // Add last part
+    strategy.apply(line_out, out);
+    return out;
+}
+
+}} // namespace detail::intersection
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CLIP_LINESTRING_HPP

test/external/boost/geometry/algorithms/detail/overlay/convert_ring.hpp

@@ -0,0 +1,99 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_CONVERT_RING_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CONVERT_RING_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/range/algorithm/reverse.hpp>
+
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template<typename Tag>
+struct convert_ring
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TAG
+            , (types<Tag>)
+        );
+};
+
+template<>
+struct convert_ring<ring_tag>
+{
+    template<typename Destination, typename Source>
+    static inline void apply(Destination& destination, Source const& source,
+                bool append, bool reverse)
+    {
+        if (! append)
+        {
+            geometry::convert(source, destination);
+            if (reverse)
+            {
+                boost::reverse(destination);
+            }
+        }
+    }
+};
+
+
+template<>
+struct convert_ring<polygon_tag>
+{
+    template<typename Destination, typename Source>
+    static inline void apply(Destination& destination, Source const& source,
+                bool append, bool reverse)
+    {
+        if (! append)
+        {
+            geometry::convert(source, exterior_ring(destination));
+            if (reverse)
+            {
+                boost::reverse(exterior_ring(destination));
+            }
+        }
+        else
+        {
+            interior_rings(destination).resize(
+                        interior_rings(destination).size() + 1);
+            geometry::convert(source, interior_rings(destination).back());
+            if (reverse)
+            {
+                boost::reverse(interior_rings(destination).back());
+            }
+        }
+    }
+};
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_CONVERT_RING_HPP

test/external/boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp

@@ -0,0 +1,295 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP
+
+
+#include <boost/array.hpp>
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace copy_segments
+{
+
+
+template <typename Range, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point_range
+{
+    typedef typename closeable_view
+        <
+            Range const,
+            closure<Range>::value
+        >::type cview_type;
+
+    typedef typename reversible_view
+        <
+            cview_type const,
+            Reverse ? iterate_reverse : iterate_forward
+        >::type rview_type;
+
+    static inline bool apply(Range const& range,
+            SegmentIdentifier const& seg_id, bool second,
+            PointOut& point)
+    {
+        int index = seg_id.segment_index;
+        if (second)
+        {
+            index++;
+            if (index >= boost::size(range))
+            {
+                index = 0;
+            }
+        }
+
+        // Exception?
+        if (index >= boost::size(range))
+        {
+            return false;
+        }
+
+        cview_type cview(range);
+        rview_type view(cview);
+
+
+        geometry::convert(*(boost::begin(view) + index), point);
+        return true;
+    }
+};
+
+
+template <typename Polygon, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point_polygon
+{
+    static inline bool apply(Polygon const& polygon,
+            SegmentIdentifier const& seg_id, bool second,
+            PointOut& point)
+    {
+        // Call ring-version with the right ring
+        return copy_segment_point_range
+            <
+                typename geometry::ring_type<Polygon>::type,
+                Reverse,
+                SegmentIdentifier,
+                PointOut
+            >::apply
+                (
+                    seg_id.ring_index < 0
+                    ? geometry::exterior_ring(polygon)
+                    : geometry::interior_rings(polygon)[seg_id.ring_index],
+                    seg_id, second,
+                    point
+                );
+    }
+};
+
+
+template <typename Box, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point_box
+{
+    static inline bool apply(Box const& box,
+            SegmentIdentifier const& seg_id, bool second,
+            PointOut& point)
+    {
+        int index = seg_id.segment_index;
+        if (second)
+        {
+            index++;
+        }
+
+        boost::array<typename point_type<Box>::type, 4> bp;
+        assign_box_corners_oriented<Reverse>(box, bp);
+        point = bp[index % 4];
+        return true;
+    }
+};
+
+
+
+
+}} // namespace detail::copy_segments
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename GeometryIn,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename PointOut
+>
+struct copy_segment_point
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<GeometryIn>)
+        );
+};
+
+
+template <typename LineString, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point<linestring_tag, LineString, Reverse, SegmentIdentifier, PointOut>
+    : detail::copy_segments::copy_segment_point_range
+        <
+            LineString, Reverse, SegmentIdentifier, PointOut
+        >
+{};
+
+
+template <typename Ring, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point<ring_tag, Ring, Reverse, SegmentIdentifier, PointOut>
+    : detail::copy_segments::copy_segment_point_range
+        <
+            Ring, Reverse, SegmentIdentifier, PointOut
+        >
+{};
+
+template <typename Polygon, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point<polygon_tag, Polygon, Reverse, SegmentIdentifier, PointOut>
+    : detail::copy_segments::copy_segment_point_polygon
+        <
+            Polygon, Reverse, SegmentIdentifier, PointOut
+        >
+{};
+
+
+template <typename Box, bool Reverse, typename SegmentIdentifier, typename PointOut>
+struct copy_segment_point<box_tag, Box, Reverse, SegmentIdentifier, PointOut>
+    : detail::copy_segments::copy_segment_point_box
+        <
+            Box, Reverse, SegmentIdentifier, PointOut
+        >
+{};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+
+
+/*!
+    \brief Helper function, copies a point from a segment
+    \ingroup overlay
+ */
+template<bool Reverse, typename Geometry, typename SegmentIdentifier, typename PointOut>
+inline bool copy_segment_point(Geometry const& geometry,
+            SegmentIdentifier const& seg_id, bool second,
+            PointOut& point_out)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::copy_segment_point
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Reverse,
+            SegmentIdentifier,
+            PointOut
+        >::apply(geometry, seg_id, second, point_out);
+}
+
+
+/*!
+    \brief Helper function, to avoid the same construct several times,
+        copies a point, based on a source-index and two geometries
+    \ingroup overlay
+ */
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename Geometry1, typename Geometry2,
+    typename SegmentIdentifier,
+    typename PointOut
+>
+inline bool copy_segment_point(Geometry1 const& geometry1, Geometry2 const& geometry2,
+            SegmentIdentifier const& seg_id, bool second,
+            PointOut& point_out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    if (seg_id.source_index == 0)
+    {
+        return dispatch::copy_segment_point
+            <
+                typename tag<Geometry1>::type,
+                Geometry1,
+                Reverse1,
+                SegmentIdentifier,
+                PointOut
+            >::apply(geometry1, seg_id, second, point_out);
+    }
+    else if (seg_id.source_index == 1)
+    {
+        return dispatch::copy_segment_point
+            <
+                typename tag<Geometry2>::type,
+                Geometry2,
+                Reverse2,
+                SegmentIdentifier,
+                PointOut
+            >::apply(geometry2, seg_id, second, point_out);
+    }
+    // Exception?
+    return false;
+}
+
+
+/*!
+    \brief Helper function, to avoid the same construct several times,
+        copies a point, based on a source-index and two geometries
+    \ingroup overlay
+ */
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename Geometry1, typename Geometry2,
+    typename SegmentIdentifier,
+    typename PointOut
+>
+inline bool copy_segment_points(Geometry1 const& geometry1, Geometry2 const& geometry2,
+            SegmentIdentifier const& seg_id,
+            PointOut& point1, PointOut& point2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    return copy_segment_point<Reverse1, Reverse2>(geometry1, geometry2, seg_id, false, point1)
+        && copy_segment_point<Reverse1, Reverse2>(geometry1, geometry2, seg_id, true,  point2);
+}
+
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP

test/external/boost/geometry/algorithms/detail/overlay/copy_segments.hpp

@@ -0,0 +1,278 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_COPY_SEGMENTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENTS_HPP
+
+
+#include <boost/array.hpp>
+#include <boost/mpl/assert.hpp>
+#include <vector>
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/iterators/ever_circling_iterator.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace copy_segments
+{
+
+
+template
+<
+    typename Ring,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments_ring
+{
+    typedef typename closeable_view
+        <
+            Ring const,
+            closure<Ring>::value
+        >::type cview_type;
+
+    typedef typename reversible_view
+        <
+            cview_type const,
+            Reverse ? iterate_reverse : iterate_forward
+        >::type rview_type;
+
+    typedef typename boost::range_iterator<rview_type const>::type iterator;
+    typedef geometry::ever_circling_iterator<iterator> ec_iterator;
+
+    static inline void apply(Ring const& ring,
+            SegmentIdentifier const& seg_id, int to_index,
+            RangeOut& current_output)
+    {
+        cview_type cview(ring);
+        rview_type view(cview);
+
+        // The problem: sometimes we want to from "3" to "2"
+        // -> end = "3" -> end == begin
+        // This is not convenient with iterators.
+
+        // So we use the ever-circling iterator and determine when to step out
+
+        int const from_index = seg_id.segment_index + 1;
+
+        // Sanity check
+        BOOST_ASSERT(from_index < boost::size(view));
+
+        ec_iterator it(boost::begin(view), boost::end(view),
+                    boost::begin(view) + from_index);
+
+        // [2..4] -> 4 - 2 + 1 = 3 -> {2,3,4} -> OK
+        // [4..2],size=6 -> 6 - 4 + 2 + 1 = 5 -> {4,5,0,1,2} -> OK
+        // [1..1], travel the whole ring round
+        typedef typename boost::range_difference<Ring>::type size_type;
+        size_type const count = from_index <= to_index
+            ? to_index - from_index + 1
+            : boost::size(view) - from_index + to_index + 1;
+
+        for (size_type i = 0; i < count; ++i, ++it)
+        {
+            detail::overlay::append_no_duplicates(current_output, *it);
+        }
+    }
+};
+
+
+template
+<
+    typename Polygon,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments_polygon
+{
+    static inline void apply(Polygon const& polygon,
+            SegmentIdentifier const& seg_id, int to_index,
+            RangeOut& current_output)
+    {
+        // Call ring-version with the right ring
+        copy_segments_ring
+            <
+                typename geometry::ring_type<Polygon>::type,
+                Reverse,
+                SegmentIdentifier,
+                RangeOut
+            >::apply
+                (
+                    seg_id.ring_index < 0
+                    ? geometry::exterior_ring(polygon)
+                    : geometry::interior_rings(polygon)[seg_id.ring_index],
+                    seg_id, to_index,
+                    current_output
+                );
+    }
+};
+
+
+template
+<
+    typename Box,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments_box
+{
+    static inline void apply(Box const& box,
+            SegmentIdentifier const& seg_id, int to_index,
+            RangeOut& current_output)
+    {
+        int index = seg_id.segment_index + 1;
+        BOOST_ASSERT(index < 5);
+
+        int const count = index <= to_index
+            ? to_index - index + 1
+            : 5 - index + to_index + 1;
+
+        // Create array of points, the fifth one closes it
+        boost::array<typename point_type<Box>::type, 5> bp;
+        assign_box_corners_oriented<Reverse>(box, bp);
+        bp[4] = bp[0];
+
+        // (possibly cyclic) copy to output
+        //    (see comments in ring-version)
+        for (int i = 0; i < count; i++, index++)
+        {
+            detail::overlay::append_no_duplicates(current_output, bp[index % 5]);
+
+        }
+    }
+};
+
+
+}} // namespace detail::copy_segments
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag,
+    typename GeometryIn,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<GeometryIn>)
+        );
+};
+
+
+template
+<
+    typename Ring,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments<ring_tag, Ring, Reverse, SegmentIdentifier, RangeOut>
+    : detail::copy_segments::copy_segments_ring
+        <
+            Ring, Reverse, SegmentIdentifier, RangeOut
+        >
+{};
+
+
+template
+<
+    typename Polygon,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments<polygon_tag, Polygon, Reverse, SegmentIdentifier, RangeOut>
+    : detail::copy_segments::copy_segments_polygon
+        <
+            Polygon, Reverse, SegmentIdentifier, RangeOut
+        >
+{};
+
+
+template
+<
+    typename Box,
+    bool Reverse,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+struct copy_segments<box_tag, Box, Reverse, SegmentIdentifier, RangeOut>
+    : detail::copy_segments::copy_segments_box
+        <
+            Box, Reverse, SegmentIdentifier, RangeOut
+        >
+{};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+    \brief Copy segments from a geometry, starting with the specified segment (seg_id)
+        until the specified index (to_index)
+    \ingroup overlay
+ */
+template
+<
+    bool Reverse,
+    typename Geometry,
+    typename SegmentIdentifier,
+    typename RangeOut
+>
+inline void copy_segments(Geometry const& geometry,
+            SegmentIdentifier const& seg_id, int to_index,
+            RangeOut& range_out)
+{
+    concept::check<Geometry const>();
+
+    dispatch::copy_segments
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Reverse,
+            SegmentIdentifier,
+            RangeOut
+        >::apply(geometry, seg_id, to_index, range_out);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENTS_HPP

test/external/boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp

@@ -0,0 +1,64 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_DEBUG_TURN_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_DEBUG_TURN_INFO_HPP
+
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/visit_info.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+inline char method_char(detail::overlay::method_type const& method)
+{
+    using namespace detail::overlay;
+    switch(method)
+    {
+        case method_none : return '-';
+        case method_disjoint : return 'd';
+        case method_crosses : return 'i';
+        case method_touch : return 't';
+        case method_touch_interior : return 'm';
+        case method_collinear : return 'c';
+        case method_equal : return 'e';
+        default : return '?';
+    }
+}
+
+inline char operation_char(detail::overlay::operation_type const& operation)
+{
+    using namespace detail::overlay;
+    switch(operation)
+    {
+        case operation_none : return '-';
+        case operation_union : return 'u';
+        case operation_intersection : return 'i';
+        case operation_blocked : return 'x';
+        case operation_continue : return 'c';
+        default : return '?';
+    }
+}
+
+inline char visited_char(detail::overlay::visit_info const& v)
+{
+    if (v.rejected()) return 'R';
+    if (v.started()) return 's';
+    if (v.visited()) return 'v';
+    if (v.none()) return '-';
+    if (v.finished()) return 'f';
+    return '?';
+}
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_DEBUG_TURN_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp

@@ -0,0 +1,531 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_ENRICH_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ENRICH_HPP
+
+
+#include <cstddef>
+#include <algorithm>
+#include <map>
+#include <set>
+#include <vector>
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+#  include <iostream>
+#  include <boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp>
+#  include <boost/geometry/domains/gis/io/wkt/wkt.hpp>
+#  define BOOST_GEOMETRY_DEBUG_IDENTIFIER
+#endif
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+
+
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+#include <boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_relative_order.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp>
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+#  include <boost/geometry/algorithms/detail/overlay/check_enrich.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+// Wraps "turn_operation" from turn_info.hpp,
+// giving it extra information
+template <typename TurnOperation>
+struct indexed_turn_operation
+{
+    typedef TurnOperation type;
+
+    int index;
+    int operation_index;
+    bool discarded;
+    TurnOperation subject;
+
+    inline indexed_turn_operation(int i, int oi, TurnOperation const& s)
+        : index(i)
+        , operation_index(oi)
+        , discarded(false)
+        , subject(s)
+    {}
+};
+
+template <typename IndexedTurnOperation>
+struct remove_discarded
+{
+    inline bool operator()(IndexedTurnOperation const& operation) const
+    {
+        return operation.discarded;
+    }
+};
+
+
+template
+<
+    typename TurnPoints,
+    typename Indexed,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Strategy
+>
+struct sort_on_segment_and_distance
+{
+    inline sort_on_segment_and_distance(TurnPoints const& turn_points
+            , Geometry1 const& geometry1
+            , Geometry2 const& geometry2
+            , Strategy const& strategy
+            , bool* clustered)
+        : m_turn_points(turn_points)
+        , m_geometry1(geometry1)
+        , m_geometry2(geometry2)
+        , m_strategy(strategy)
+        , m_clustered(clustered)
+    {
+    }
+
+private :
+
+    TurnPoints const& m_turn_points;
+    Geometry1 const& m_geometry1;
+    Geometry2 const& m_geometry2;
+    Strategy const& m_strategy;
+    mutable bool* m_clustered;
+
+    inline bool consider_relative_order(Indexed const& left,
+                    Indexed const& right) const
+    {
+        typedef typename geometry::point_type<Geometry1>::type point_type;
+        point_type pi, pj, ri, rj, si, sj;
+
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.seg_id,
+            pi, pj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.other_id,
+            ri, rj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            right.subject.other_id,
+            si, sj);
+
+        int const order = get_relative_order
+            <
+                point_type
+            >::apply(pi, pj,ri, rj, si, sj);
+        //debug("r/o", order == -1);
+        return order == -1;
+    }
+
+public :
+
+    // Note that left/right do NOT correspond to m_geometry1/m_geometry2
+    // but to the "indexed_turn_operation"
+    inline bool operator()(Indexed const& left, Indexed const& right) const
+    {
+        segment_identifier const& sl = left.subject.seg_id;
+        segment_identifier const& sr = right.subject.seg_id;
+
+        if (sl == sr
+            && geometry::math::equals(left.subject.enriched.distance
+                    , right.subject.enriched.distance))
+        {
+            // Both left and right are located on the SAME segment.
+
+            // First check "real" intersection (crosses)
+            // -> distance zero due to precision, solve it by sorting
+            if (m_turn_points[left.index].method == method_crosses
+                && m_turn_points[right.index].method == method_crosses)
+            {
+                return consider_relative_order(left, right);
+            }
+
+            // If that is not the case, cluster it later on.
+            // Indicate that this is necessary.
+            *m_clustered = true;
+
+            return left.index < right.index;
+        }
+        return sl == sr
+            ? left.subject.enriched.distance < right.subject.enriched.distance
+            : sl < sr;
+
+    }
+};
+
+
+template<typename Turns, typename Operations>
+inline void update_discarded(Turns& turn_points, Operations& operations)
+{
+    // Vice-versa, set discarded to true for discarded operations;
+    // AND set discarded points to true
+    for (typename boost::range_iterator<Operations>::type it = boost::begin(operations);
+         it != boost::end(operations);
+         ++it)
+    {
+        if (turn_points[it->index].discarded)
+        {
+            it->discarded = true;
+        }
+        else if (it->discarded)
+        {
+            turn_points[it->index].discarded = true;
+        }
+    }
+}
+
+
+// Sorts IP-s of this ring on segment-identifier, and if on same segment,
+//  on distance.
+// Then assigns for each IP which is the next IP on this segment,
+// plus the vertex-index to travel to, plus the next IP
+// (might be on another segment)
+template
+<
+    typename IndexType,
+    bool Reverse1, bool Reverse2,
+    typename Container,
+    typename TurnPoints,
+    typename Geometry1, typename Geometry2,
+    typename Strategy
+>
+inline void enrich_sort(Container& operations,
+            TurnPoints& turn_points,
+            operation_type for_operation,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            Strategy const& strategy)
+{
+    typedef typename IndexType::type operations_type;
+
+    bool clustered = false;
+    std::sort(boost::begin(operations),
+                boost::end(operations),
+                sort_on_segment_and_distance
+                    <
+                        TurnPoints,
+                        IndexType,
+                        Geometry1, Geometry2,
+                        Reverse1, Reverse2,
+                        Strategy
+                    >(turn_points, geometry1, geometry2, strategy, &clustered));
+
+    // DONT'T discard xx / (for union) ix / ii / (for intersection) ux / uu here
+    // It would give way to "lonely" ui turn points, traveling all
+    // the way round. See #105
+
+    if (clustered)
+    {
+        typedef typename boost::range_iterator<Container>::type nc_iterator;
+        nc_iterator it = boost::begin(operations);
+        nc_iterator begin_cluster = boost::end(operations);
+        for (nc_iterator prev = it++;
+            it != boost::end(operations);
+            prev = it++)
+        {
+            operations_type& prev_op = turn_points[prev->index]
+                .operations[prev->operation_index];
+            operations_type& op = turn_points[it->index]
+                .operations[it->operation_index];
+
+            if (prev_op.seg_id == op.seg_id
+                && (turn_points[prev->index].method != method_crosses
+                    || turn_points[it->index].method != method_crosses)
+                && geometry::math::equals(prev_op.enriched.distance,
+                        op.enriched.distance))
+            {
+                if (begin_cluster == boost::end(operations))
+                {
+                    begin_cluster = prev;
+                }
+            }
+            else if (begin_cluster != boost::end(operations))
+            {
+                handle_cluster<IndexType, Reverse1, Reverse2>(begin_cluster, it, turn_points,
+                        for_operation, geometry1, geometry2, strategy);
+                begin_cluster = boost::end(operations);
+            }
+        }
+        if (begin_cluster != boost::end(operations))
+        {
+            handle_cluster<IndexType, Reverse1, Reverse2>(begin_cluster, it, turn_points,
+                    for_operation, geometry1, geometry2, strategy);
+        }
+    }
+
+    update_discarded(turn_points, operations);
+}
+
+
+template
+<
+    typename IndexType,
+    typename Container,
+    typename TurnPoints
+>
+inline void enrich_discard(Container& operations, TurnPoints& turn_points)
+{
+    update_discarded(turn_points, operations);
+
+    // Then delete discarded operations from vector
+    remove_discarded<IndexType> predicate;
+    operations.erase(
+            std::remove_if(boost::begin(operations),
+                    boost::end(operations),
+                    predicate),
+            boost::end(operations));
+}
+
+template
+<
+    typename IndexType,
+    typename Container,
+    typename TurnPoints,
+    typename Geometry1,
+    typename Geometry2,
+    typename Strategy
+>
+inline void enrich_assign(Container& operations,
+            TurnPoints& turn_points,
+            operation_type for_operation,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            Strategy const& strategy)
+{
+    typedef typename IndexType::type operations_type;
+    typedef typename boost::range_iterator<Container const>::type iterator_type;
+
+
+    if (operations.size() > 0)
+    {
+        // Assign travel-to-vertex/ip index for each turning point.
+        // Because IP's are circular, PREV starts at the very last one,
+        // being assigned from the first one.
+        // "next ip on same segment" should not be considered circular.
+        bool first = true;
+        iterator_type it = boost::begin(operations);
+        for (iterator_type prev = it + (boost::size(operations) - 1);
+             it != boost::end(operations);
+             prev = it++)
+        {
+            operations_type& prev_op
+                    = turn_points[prev->index].operations[prev->operation_index];
+            operations_type& op
+                    = turn_points[it->index].operations[it->operation_index];
+
+            prev_op.enriched.travels_to_ip_index
+                    = it->index;
+            prev_op.enriched.travels_to_vertex_index
+                    = it->subject.seg_id.segment_index;
+
+            if (! first
+                && prev_op.seg_id.segment_index == op.seg_id.segment_index)
+            {
+                prev_op.enriched.next_ip_index = it->index;
+            }
+            first = false;
+        }
+    }
+
+    // DEBUG
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    {
+        for (iterator_type it = boost::begin(operations);
+             it != boost::end(operations);
+             ++it)
+        {
+            operations_type& op = turn_points[it->index]
+                .operations[it->operation_index];
+
+            std::cout << it->index
+                << " meth: " << method_char(turn_points[it->index].method)
+                << " seg: " << op.seg_id
+                << " dst: " << boost::numeric_cast<double>(op.enriched.distance)
+                << " op: " << operation_char(turn_points[it->index].operations[0].operation)
+                << operation_char(turn_points[it->index].operations[1].operation)
+                << " dsc: " << (turn_points[it->index].discarded ? "T" : "F")
+                << " ->vtx " << op.enriched.travels_to_vertex_index
+                << " ->ip " << op.enriched.travels_to_ip_index
+                << " ->nxt ip " << op.enriched.next_ip_index
+                //<< " vis: " << visited_char(op.visited)
+                << std::endl;
+                ;
+        }
+    }
+#endif
+    // END DEBUG
+
+}
+
+
+template <typename IndexedType, typename TurnPoints, typename MappedVector>
+inline void create_map(TurnPoints const& turn_points, MappedVector& mapped_vector)
+{
+    typedef typename boost::range_value<TurnPoints>::type turn_point_type;
+    typedef typename turn_point_type::container_type container_type;
+
+    int index = 0;
+    for (typename boost::range_iterator<TurnPoints const>::type
+            it = boost::begin(turn_points);
+         it != boost::end(turn_points);
+         ++it, ++index)
+    {
+        // Add operations on this ring, but skip discarded ones
+        if (! it->discarded)
+        {
+            int op_index = 0;
+            for (typename boost::range_iterator<container_type const>::type
+                    op_it = boost::begin(it->operations);
+                op_it != boost::end(it->operations);
+                ++op_it, ++op_index)
+            {
+                // We should NOT skip blocked operations here
+                // because they can be relevant for "the other side"
+                // NOT if (op_it->operation != operation_blocked)
+
+                ring_identifier ring_id
+                    (
+                        op_it->seg_id.source_index,
+                        op_it->seg_id.multi_index,
+                        op_it->seg_id.ring_index
+                    );
+                mapped_vector[ring_id].push_back
+                    (
+                        IndexedType(index, op_index, *op_it)
+                    );
+            }
+        }
+    }
+}
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+
+/*!
+\brief All intersection points are enriched with successor information
+\ingroup overlay
+\tparam TurnPoints type of intersection container
+            (e.g. vector of "intersection/turn point"'s)
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Strategy side strategy type
+\param turn_points container containing intersectionpoints
+\param for_operation operation_type (union or intersection)
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param strategy strategy
+ */
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename TurnPoints,
+    typename Geometry1, typename Geometry2,
+    typename Strategy
+>
+inline void enrich_intersection_points(TurnPoints& turn_points,
+    detail::overlay::operation_type for_operation,
+    Geometry1 const& geometry1, Geometry2 const& geometry2,
+    Strategy const& strategy)
+{
+    typedef typename boost::range_value<TurnPoints>::type turn_point_type;
+    typedef typename turn_point_type::turn_operation_type turn_operation_type;
+    typedef detail::overlay::indexed_turn_operation
+        <
+            turn_operation_type
+        > indexed_turn_operation;
+
+    typedef std::map
+        <
+            ring_identifier,
+            std::vector<indexed_turn_operation>
+        > mapped_vector_type;
+
+    // DISCARD ALL UU
+    // #76 is the reason that this is necessary...
+    // With uu, at all points there is the risk that rings are being traversed twice or more.
+    // Without uu, all rings having only uu will be untouched and gathered by assemble
+    for (typename boost::range_iterator<TurnPoints>::type
+            it = boost::begin(turn_points);
+         it != boost::end(turn_points);
+         ++it)
+    {
+        if (it->both(detail::overlay::operation_union))
+        {
+            it->discarded = true;
+        }
+    }
+
+
+    // Create a map of vectors of indexed operation-types to be able
+    // to sort intersection points PER RING
+    mapped_vector_type mapped_vector;
+
+    detail::overlay::create_map<indexed_turn_operation>(turn_points, mapped_vector);
+
+
+    // No const-iterator; contents of mapped copy is temporary,
+    // and changed by enrich
+    for (typename mapped_vector_type::iterator mit
+        = mapped_vector.begin();
+        mit != mapped_vector.end();
+        ++mit)
+    {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    std::cout << "ENRICH-sort Ring "
+        << mit->first << std::endl;
+#endif
+        detail::overlay::enrich_sort<indexed_turn_operation, Reverse1, Reverse2>(mit->second, turn_points, for_operation,
+                    geometry1, geometry2, strategy);
+    }
+
+    for (typename mapped_vector_type::iterator mit
+        = mapped_vector.begin();
+        mit != mapped_vector.end();
+        ++mit)
+    {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    std::cout << "ENRICH-discard Ring "
+        << mit->first << std::endl;
+#endif
+        detail::overlay::enrich_discard<indexed_turn_operation>(mit->second, turn_points);
+    }
+
+    for (typename mapped_vector_type::iterator mit
+        = mapped_vector.begin();
+        mit != mapped_vector.end();
+        ++mit)
+    {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    std::cout << "ENRICH-assign Ring "
+        << mit->first << std::endl;
+#endif
+        detail::overlay::enrich_assign<indexed_turn_operation>(mit->second, turn_points, for_operation,
+                    geometry1, geometry2, strategy);
+    }
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    //detail::overlay::check_graph(turn_points, for_operation);
+#endif
+
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ENRICH_HPP

test/external/boost/geometry/algorithms/detail/overlay/enrichment_info.hpp

@@ -0,0 +1,76 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_ENRICHMENT_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ENRICHMENT_INFO_HPP
+
+
+#include <boost/geometry/strategies/distance.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+/*!
+\brief Keeps info to enrich intersection info (per source)
+\details Class to keep information necessary for traversal phase (a phase
+    of the overlay process). The information is gathered during the
+    enrichment phase
+ */
+template<typename P>
+struct enrichment_info
+{
+    typedef typename strategy::distance::services::return_type
+        <
+            typename strategy::distance::services::comparable_type
+                <
+                    typename strategy::distance::services::default_strategy
+                        <
+                            point_tag,
+                            P
+                        >::type
+                >::type
+        >::type distance_type;
+
+    inline enrichment_info()
+        : travels_to_vertex_index(-1)
+        , travels_to_ip_index(-1)
+        , next_ip_index(-1)
+        , distance(distance_type())
+    {}
+
+    // vertex to which is free travel after this IP,
+    // so from "segment_index+1" to "travels_to_vertex_index", without IP-s,
+    // can be -1
+    int travels_to_vertex_index;
+
+    // same but now IP index, so "next IP index" but not on THIS segment
+    int travels_to_ip_index;
+
+    // index of next IP on this segment, -1 if there is no one
+    int next_ip_index;
+
+    distance_type distance; // distance-measurement from segment.first to IP
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_ENRICHMENT_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp

@@ -0,0 +1,146 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_GET_INTERSECTION_POINTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_INTERSECTION_POINTS_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+
+#include <boost/geometry/geometries/segment.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace get_intersection_points
+{
+
+
+template
+<
+    typename Point1,
+    typename Point2,
+    typename TurnInfo
+>
+struct get_turn_without_info
+{
+    typedef strategy_intersection
+        <
+            typename cs_tag<typename TurnInfo::point_type>::type,
+            Point1,
+            Point2,
+            typename TurnInfo::point_type
+        > si;
+
+    typedef typename si::segment_intersection_strategy_type strategy;
+
+
+
+    template <typename OutputIterator>
+    static inline OutputIterator apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo const& tp_model,
+                OutputIterator out)
+    {
+        typedef model::referring_segment<Point1 const> segment_type1;
+        typedef model::referring_segment<Point1 const> segment_type2;
+        segment_type1 p1(pi, pj), p2(pj, pk);
+        segment_type2 q1(qi, qj), q2(qj, qk);
+
+        //
+        typename strategy::return_type result = strategy::apply(p1, q1);
+
+        for (std::size_t i = 0; i < result.template get<0>().count; i++)
+        {
+
+            TurnInfo tp;
+            geometry::convert(result.template get<0>().intersections[i], tp.point);
+            *out++ = tp;
+        }
+
+        return out;
+    }
+};
+
+}} // namespace detail::get_intersection_points
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename Turns
+>
+inline void get_intersection_points(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            Turns& turns)
+{
+    concept::check_concepts_and_equal_dimensions<Geometry1 const, Geometry2 const>();
+
+    typedef detail::get_intersection_points::get_turn_without_info
+                        <
+                            typename point_type<Geometry1>::type,
+                            typename point_type<Geometry2>::type,
+                            typename boost::range_value<Turns>::type
+                        > TurnPolicy;
+
+    typedef typename strategy_intersection
+        <
+            typename cs_tag<Geometry1>::type,
+            Geometry1,
+            Geometry2,
+            typename boost::range_value<Turns>::type
+        >::segment_intersection_strategy_type segment_intersection_strategy_type;
+
+    detail::get_turns::no_interrupt_policy interrupt_policy;
+
+    boost::mpl::if_c
+        <
+            reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::get_turns_reversed
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1, Geometry2,
+                false, false,
+                Turns, TurnPolicy,
+                //segment_intersection_strategy_type,
+                detail::get_turns::no_interrupt_policy
+            >,
+            dispatch::get_turns
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1, Geometry2,
+                false, false,
+                Turns, TurnPolicy,
+                //segment_intersection_strategy_type,
+                detail::get_turns::no_interrupt_policy
+            >
+        >::type::apply(
+            0, geometry1,
+            1, geometry2,
+            turns, interrupt_policy);
+}
+
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_INTERSECTION_POINTS_HPP

test/external/boost/geometry/algorithms/detail/overlay/get_relative_order.hpp

@@ -0,0 +1,108 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_GET_RELATIVE_ORDER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_RELATIVE_ORDER_HPP
+
+
+#include <boost/geometry/algorithms/distance.hpp>
+
+#include <boost/geometry/strategies/intersection.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+/*!
+    \brief Get relative order
+    \details Can indicate which of two segments R and S,
+        both crossing a common segment P, comes first.
+        If the two segments cross P very close (e.g. in a spike),
+        the distance between the intersection points can be zero,
+        but we still need to know which comes first.
+        Therefore, it is useful that using sides we are able to discover this.
+ */
+template <typename Point1>
+struct get_relative_order
+{
+    typedef strategy_intersection
+        <
+            typename cs_tag<Point1>::type,
+            Point1,
+            Point1,
+            Point1
+        > si;
+
+    typedef typename si::side_strategy_type strategy;
+
+    template <typename Point>
+    static inline int value_via_product(Point const& ti, Point const& tj,
+                    Point const& ui, Point const& uj, int factor)
+    {
+        int const side_ti_u = strategy::apply(ti, tj, ui);
+        int const side_tj_u = strategy::apply(ti, tj, uj);
+
+#ifdef BOOST_GEOMETRY_DEBUG_RELATIVE_ORDER
+        std::cout << (factor == 1  ? " r//s " :  " s//r ")
+            << side_ti_u << " / " << side_tj_u;
+#endif
+
+        return side_ti_u * side_tj_u >= 0
+            ? factor * (side_ti_u != 0 ? side_ti_u : side_tj_u)
+            : 0;
+    }
+
+
+    static inline int apply(
+                Point1 const& pi, Point1 const& pj,
+                Point1 const& ri, Point1 const& rj,
+                Point1 const& si, Point1 const& sj)
+    {
+        int const side_ri_p = strategy::apply(pi, pj, ri);
+        int const side_si_p = strategy::apply(pi, pj, si);
+
+#ifdef BOOST_GEOMETRY_DEBUG_RELATIVE_ORDER
+        int const side_rj_p = strategy::apply(pi, pj, rj);
+        int const side_sj_p = strategy::apply(pi, pj, sj);
+        std::cout << "r//p: " << side_ri_p << " / " << side_rj_p;
+        std::cout << " s//p: " << side_si_p << " / " << side_sj_p;
+#endif
+
+        int value = value_via_product(si, sj, ri, rj, 1);
+        if (value == 0)
+        {
+            value = value_via_product(ri, rj, si, sj, -1);
+        }
+
+        int const order = side_ri_p * side_ri_p * side_si_p * value;
+
+#ifdef BOOST_GEOMETRY_DEBUG_RELATIVE_ORDER
+        std::cout
+            << " o: " << order
+            << std::endl << std::endl;
+#endif
+
+        return order;
+    }
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_RELATIVE_ORDER_HPP

test/external/boost/geometry/algorithms/detail/overlay/get_ring.hpp

@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_GET_RING_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_RING_HPP
+
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template<typename Tag>
+struct get_ring
+{};
+
+// A container of rings (multi-ring but that does not exist)
+// gets the "void" tag and is dispatched here.
+template<>
+struct get_ring<void>
+{
+    template<typename Container>
+    static inline typename boost::range_value<Container>::type const&
+                apply(ring_identifier const& id, Container const& container)
+    {
+        return container[id.multi_index];
+    }
+};
+
+
+
+
+template<>
+struct get_ring<ring_tag>
+{
+    template<typename Ring>
+    static inline Ring const& apply(ring_identifier const& , Ring const& ring)
+    {
+        return ring;
+    }
+};
+
+
+template<>
+struct get_ring<box_tag>
+{
+    template<typename Box>
+    static inline Box const& apply(ring_identifier const& ,
+                    Box const& box)
+    {
+        return box;
+    }
+};
+
+
+template<>
+struct get_ring<polygon_tag>
+{
+    template<typename Polygon>
+    static inline typename ring_return_type<Polygon const>::type const apply(
+                ring_identifier const& id,
+                Polygon const& polygon)
+    {
+        BOOST_ASSERT
+            (
+                id.ring_index >= -1
+                && id.ring_index < boost::size(interior_rings(polygon))
+            );
+        return id.ring_index < 0
+            ? exterior_ring(polygon)
+            : interior_rings(polygon)[id.ring_index];
+    }
+};
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_RING_HPP

test/external/boost/geometry/algorithms/detail/overlay/get_turn_info.hpp

@@ -0,0 +1,897 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_GET_TURN_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_TURN_INFO_HPP
+
+
+#include <boost/assert.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/strategies/intersection.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+
+#include <boost/geometry/geometries/segment.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+struct base_turn_handler
+{
+    // Returns true if both sides are opposite
+    static inline bool opposite(int side1, int side2)
+    {
+        // We cannot state side1 == -side2, because 0 == -0
+        // So either side1*side2==-1 or side1==-side2 && side1 != 0
+        return side1 * side2 == -1;
+    }
+
+    // Same side of a segment (not being 0)
+    static inline bool same(int side1, int side2)
+    {
+        return side1 * side2 == 1;
+    }
+
+    // Both continue
+    template <typename TurnInfo>
+    static inline void both(TurnInfo& ti, operation_type const op)
+    {
+        ti.operations[0].operation = op;
+        ti.operations[1].operation = op;
+    }
+
+    // If condition, first union/second intersection, else vice versa
+    template <typename TurnInfo>
+    static inline void ui_else_iu(bool condition, TurnInfo& ti)
+    {
+        ti.operations[0].operation = condition
+                    ? operation_union : operation_intersection;
+        ti.operations[1].operation = condition
+                    ? operation_intersection : operation_union;
+    }
+
+    // If condition, both union, else both intersection
+    template <typename TurnInfo>
+    static inline void uu_else_ii(bool condition, TurnInfo& ti)
+    {
+        both(ti, condition ? operation_union : operation_intersection);
+    }
+};
+
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy
+>
+struct touch_interior : public base_turn_handler
+{
+    // Index: 0, P is the interior, Q is touching and vice versa
+    template
+    <
+        int Index,
+        typename Point1,
+        typename Point2,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo& ti,
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        ti.method = method_touch_interior;
+        geometry::convert(intersection_info.intersections[0], ti.point);
+
+        // Both segments of q touch segment p somewhere in its interior
+        // 1) We know: if q comes from LEFT or RIGHT
+        // (i.e. dir_info.sides.get<Index,0>() == 1 or -1)
+        // 2) Important is: if q_k goes to LEFT, RIGHT, COLLINEAR
+        //    and, if LEFT/COLL, if it is lying LEFT or RIGHT w.r.t. q_i
+
+        static int const index_p = Index;
+        static int const index_q = 1 - Index;
+
+        int const side_qi_p = dir_info.sides.template get<index_q, 0>();
+        int const side_qk_p = SideStrategy::apply(pi, pj, qk);
+
+        if (side_qi_p == -side_qk_p)
+        {
+            // Q crosses P from left->right or from right->left (test "ML1")
+            // Union: folow P (left->right) or Q (right->left)
+            // Intersection: other turn
+            int index = side_qk_p == -1 ? index_p : index_q;
+            ti.operations[index].operation = operation_union;
+            ti.operations[1 - index].operation = operation_intersection;
+            return;
+        }
+
+        int const side_qk_q = SideStrategy::apply(qi, qj, qk);
+
+        if (side_qi_p == -1 && side_qk_p == -1 && side_qk_q == 1)
+        {
+            // Q turns left on the right side of P (test "MR3")
+            // Both directions for "intersection"
+            both(ti, operation_intersection);
+        }
+        else if (side_qi_p == 1 && side_qk_p == 1 && side_qk_q == -1)
+        {
+            // Q turns right on the left side of P (test "ML3")
+            // Union: take both operation
+            // Intersection: skip
+            both(ti, operation_union);
+        }
+        else if (side_qi_p == side_qk_p && side_qi_p == side_qk_q)
+        {
+            // Q turns left on the left side of P (test "ML2")
+            // or Q turns right on the right side of P (test "MR2")
+            // Union: take left turn (Q if Q turns left, P if Q turns right)
+            // Intersection: other turn
+            int index = side_qk_q == 1 ? index_q : index_p;
+            ti.operations[index].operation = operation_union;
+            ti.operations[1 - index].operation = operation_intersection;
+        }
+        else if (side_qk_p == 0)
+        {
+            // Q intersects on interior of P and continues collinearly
+            if (side_qk_q == side_qi_p)
+            {
+                // Collinearly in the same direction
+                // (Q comes from left of P and turns left,
+                //  OR Q comes from right of P and turns right)
+                // Omit intersection point.
+                // Union: just continue
+                // Intersection: just continue
+                both(ti, operation_continue);
+            }
+            else
+            {
+                // Opposite direction, which is never travelled.
+                // If Q turns left, P continues for intersection
+                // If Q turns right, P continues for union
+                ti.operations[Index].operation = side_qk_q == 1
+                    ? operation_intersection
+                    : operation_union;
+                ti.operations[1 - Index].operation = operation_blocked;
+            }
+        }
+        else
+        {
+            // Should not occur!
+            ti.method = method_error;
+        }
+    }
+};
+
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy
+>
+struct touch : public base_turn_handler
+{
+    static inline bool between(int side1, int side2, int turn)
+    {
+        return side1 == side2 && ! opposite(side1, turn);
+    }
+
+    /*static inline void block_second(bool block, TurnInfo& ti)
+    {
+        if (block)
+        {
+            ti.operations[1].operation = operation_blocked;
+        }
+    }*/
+
+
+    template
+    <
+        typename Point1,
+        typename Point2,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo& ti,
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        ti.method = method_touch;
+        geometry::convert(intersection_info.intersections[0], ti.point);
+
+        int const side_qi_p1 = dir_info.sides.template get<1, 0>();
+        int const side_qk_p1 = SideStrategy::apply(pi, pj, qk);
+
+
+        // If Qi and Qk are both at same side of Pi-Pj,
+        // or collinear (so: not opposite sides)
+        if (! opposite(side_qi_p1, side_qk_p1))
+        {
+            int const side_pk_q2 = SideStrategy::apply(qj, qk, pk);
+            int const side_pk_p  = SideStrategy::apply(pi, pj, pk);
+            int const side_qk_q  = SideStrategy::apply(qi, qj, qk);
+            bool const q_turns_left = side_qk_q == 1;
+            bool const block_q = side_qk_p1 == 0
+                        && ! same(side_qi_p1, side_qk_q);
+
+            // If Pk at same side as Qi/Qk
+            // (the "or" is for collinear case)
+            // or Q is fully collinear && P turns not to left
+            if (side_pk_p == side_qi_p1
+                || side_pk_p == side_qk_p1
+                || (side_qi_p1 == 0 && side_qk_p1 == 0 && side_pk_p != -1)
+                )
+            {
+                // Collinear -> lines join, continue
+                // (#BRL2)
+                if (side_pk_q2 == 0 && ! block_q)
+                {
+                    both(ti, operation_continue);
+                    return;
+                }
+
+                int const side_pk_q1 = SideStrategy::apply(qi, qj, pk);
+
+
+                // Collinear opposite case -> block P
+                // (#BRL4, #BLR8)
+                if (side_pk_q1 == 0)
+                {
+                    ti.operations[0].operation = operation_blocked;
+                    // Q turns right -> union (both independant),
+                    // Q turns left -> intersection
+                    ti.operations[1].operation = block_q ? operation_blocked
+                        : q_turns_left ? operation_intersection
+                        : operation_union;
+                    return;
+                }
+
+                // Pk between Qi and Qk
+                // (#BRL3, #BRL7)
+                if (between(side_pk_q1, side_pk_q2, side_qk_q))
+                {
+                    ui_else_iu(q_turns_left, ti);
+                    if (block_q)
+                    {
+                        ti.operations[1].operation = operation_blocked;
+                    }
+                    //block_second(block_q, ti);
+                    return;
+                }
+
+                // Pk between Qk and P, so left of Qk (if Q turns right) and vv
+                // (#BRL1)
+                if (side_pk_q2 == -side_qk_q)
+                {
+                    ui_else_iu(! q_turns_left, ti);
+                    return;
+                }
+
+                //
+                // (#BRL5, #BRL9)
+                if (side_pk_q1 == -side_qk_q)
+                {
+                    uu_else_ii(! q_turns_left, ti);
+                    if (block_q)
+                    {
+                        ti.operations[1].operation = operation_blocked;
+                    }
+                    //block_second(block_q, ti);
+                    return;
+                }
+            }
+            else
+            {
+                // Pk at other side than Qi/Pk
+                int const side_qk_q = SideStrategy::apply(qi, qj, qk);
+                bool const q_turns_left = side_qk_q == 1;
+
+                ti.operations[0].operation = q_turns_left
+                            ? operation_intersection
+                            : operation_union;
+                ti.operations[1].operation = block_q
+                            ? operation_blocked
+                            : side_qi_p1 == 1 || side_qk_p1 == 1
+                            ? operation_union
+                            : operation_intersection;
+
+                return;
+            }
+        }
+        else
+        {
+            // From left to right or from right to left
+            int const side_pk_p  = SideStrategy::apply(pi, pj, pk);
+            bool const right_to_left = side_qk_p1 == 1;
+
+            // If p turns into direction of qi (1,2)
+            if (side_pk_p == side_qi_p1)
+            {
+                int const side_pk_q1 = SideStrategy::apply(qi, qj, pk);
+
+                // Collinear opposite case -> block P
+                if (side_pk_q1 == 0)
+                {
+                    ti.operations[0].operation = operation_blocked;
+                    ti.operations[1].operation = right_to_left
+                                ? operation_union : operation_intersection;
+                    return;
+                }
+
+                if (side_pk_q1 == side_qk_p1)
+                {
+                    uu_else_ii(right_to_left, ti);
+                    return;
+                }
+            }
+
+            // If p turns into direction of qk (4,5)
+            if (side_pk_p == side_qk_p1)
+            {
+                int const side_pk_q2 = SideStrategy::apply(qj, qk, pk);
+
+                // Collinear case -> lines join, continue
+                if (side_pk_q2 == 0)
+                {
+                    both(ti, operation_continue);
+                    return;
+                }
+                if (side_pk_q2 == side_qk_p1)
+                {
+                    ui_else_iu(right_to_left, ti);
+                    return;
+                }
+            }
+            // otherwise (3)
+            ui_else_iu(! right_to_left, ti);
+            return;
+        }
+
+#ifdef BOOST_GEOMETRY_DEBUG_GET_TURNS
+        // Normally a robustness issue.
+        // TODO: more research if still occuring
+        std::cout << "Not yet handled" << std::endl
+            << "pi " << get<0>(pi) << " , " << get<1>(pi)
+            << " pj " << get<0>(pj) << " , " << get<1>(pj)
+            << " pk " << get<0>(pk) << " , " << get<1>(pk)
+            << std::endl
+            << "qi " << get<0>(qi) << " , " << get<1>(qi)
+            << " qj " << get<0>(qj) << " , " << get<1>(qj)
+            << " qk " << get<0>(qk) << " , " << get<1>(qk)
+            << std::endl;
+#endif
+
+    }
+};
+
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy
+>
+struct equal : public base_turn_handler
+{
+    template
+    <
+        typename Point1,
+        typename Point2,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo& ti,
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        ti.method = method_equal;
+        // Copy the SECOND intersection point
+        geometry::convert(intersection_info.intersections[1], ti.point);
+
+        int const side_pk_q2  = SideStrategy::apply(qj, qk, pk);
+        int const side_pk_p = SideStrategy::apply(pi, pj, pk);
+        int const side_qk_p = SideStrategy::apply(pi, pj, qk);
+
+        // If pk is collinear with qj-qk, they continue collinearly.
+        // This can be on either side of p1 (== q1), or collinear
+        // The second condition checks if they do not continue
+        // oppositely
+        if (side_pk_q2 == 0 && side_pk_p == side_qk_p)
+        {
+            both(ti, operation_continue);
+            return;
+        }
+
+
+        // If they turn to same side (not opposite sides)
+        if (! opposite(side_pk_p, side_qk_p))
+        {
+            int const side_pk_q2 = SideStrategy::apply(qj, qk, pk);
+
+            // If pk is left of q2 or collinear: p: union, q: intersection
+            ui_else_iu(side_pk_q2 != -1, ti);
+        }
+        else
+        {
+            // They turn opposite sides. If p turns left (or collinear),
+            // p: union, q: intersection
+            ui_else_iu(side_pk_p != -1, ti);
+        }
+    }
+};
+
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy
+>
+struct collinear : public base_turn_handler
+{
+    /*
+        arrival P   pk//p1  qk//q1   product*  case    result
+         1           1                1        CLL1    ui
+        -1                   1       -1        CLL2    iu
+         1           1                1        CLR1    ui
+        -1                  -1        1        CLR2    ui
+
+         1          -1               -1        CRL1    iu
+        -1                   1       -1        CRL2    iu
+         1          -1               -1        CRR1    iu
+        -1                  -1        1        CRR2    ui
+
+         1           0                0        CC1     cc
+        -1                   0        0        CC2     cc
+
+         *product = arrival * (pk//p1 or qk//q1)
+
+         Stated otherwise:
+         - if P arrives: look at turn P
+         - if Q arrives: look at turn Q
+         - if P arrives and P turns left: union for P
+         - if P arrives and P turns right: intersection for P
+         - if Q arrives and Q turns left: union for Q (=intersection for P)
+         - if Q arrives and Q turns right: intersection for Q (=union for P)
+    */
+    template
+    <
+        typename Point1,
+        typename Point2,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo& ti,
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        ti.method = method_collinear;
+        geometry::convert(intersection_info.intersections[1], ti.point);
+
+        int const arrival = dir_info.arrival[0];
+        // Should not be 0, this is checked before
+        BOOST_ASSERT(arrival != 0);
+
+        // If p arrives, use p, else use q
+        int const side_p_or_q = arrival == 1
+            ? SideStrategy::apply(pi, pj, pk)
+            : SideStrategy::apply(qi, qj, qk)
+            ;
+
+        // See comments above,
+        // resulting in a strange sort of mathematic rule here:
+        // The arrival-info multiplied by the relevant side
+        // delivers a consistent result.
+
+        int const product = arrival * side_p_or_q;
+
+        if(product == 0)
+        {
+            both(ti, operation_continue);
+        }
+        else
+        {
+            ui_else_iu(product == 1, ti);
+        }
+    }
+};
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy,
+    typename AssignPolicy
+>
+struct collinear_opposite : public base_turn_handler
+{
+private :
+    /*
+        arrival P  arrival Q  pk//p1   qk//q1  case  result2  result
+        --------------------------------------------------------------
+         1          1          1       -1      CLO1    ix      xu
+         1          1          1        0      CLO2    ix      (xx)
+         1          1          1        1      CLO3    ix      xi
+
+         1          1          0       -1      CCO1    (xx)    xu
+         1          1          0        0      CCO2    (xx)    (xx)
+         1          1          0        1      CCO3    (xx)    xi
+
+         1          1         -1       -1      CRO1    ux      xu
+         1          1         -1        0      CRO2    ux      (xx)
+         1          1         -1        1      CRO3    ux      xi
+
+        -1          1                  -1      CXO1    xu
+        -1          1                   0      CXO2    (xx)
+        -1          1                   1      CXO3    xi
+
+         1         -1          1               CXO1    ix
+         1         -1          0               CXO2    (xx)
+         1         -1         -1               CXO3    ux
+    */
+
+    template
+    <
+        int Index,
+        typename Point,
+        typename IntersectionInfo
+    >
+    static inline bool set_tp(Point const& ri, Point const& rj, Point const& rk,
+                TurnInfo& tp, IntersectionInfo const& intersection_info)
+    {
+        int const side_rk_r = SideStrategy::apply(ri, rj, rk);
+        switch(side_rk_r)
+        {
+
+            case 1 :
+                // Turning left on opposite collinear: intersection
+                tp.operations[Index].operation = operation_intersection;
+                break;
+            case -1 :
+                // Turning right on opposite collinear: union
+                tp.operations[Index].operation = operation_union;
+                break;
+            case 0 :
+                // No turn on opposite collinear: block, do not traverse
+                // But this "xx" is ignored here, it is useless to include
+                // two operation blocked, so the whole point does not need
+                // to be generated.
+                // So return false to indicate nothing is to be done.
+                return false;
+        }
+
+        // The other direction is always blocked when collinear opposite
+        tp.operations[1 - Index].operation = operation_blocked;
+
+        // If P arrives within Q, set info on P (which is done above, index=0),
+        // this turn-info belongs to the second intersection point, index=1
+        // (see e.g. figure CLO1)
+        geometry::convert(intersection_info.intersections[1 - Index], tp.point);
+        return true;
+    }
+
+public:
+    template
+    <
+        typename Point1,
+        typename Point2,
+        typename OutputIterator,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+
+                // Opposite collinear can deliver 2 intersection points,
+                TurnInfo const& tp_model,
+                OutputIterator& out,
+
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        /*
+        std::cout << "arrivals: "
+            << dir_info.arrival[0]
+            << "/" << dir_info.arrival[1]
+            << std::endl;
+        */
+
+        TurnInfo tp = tp_model;
+
+        tp.method = method_collinear;
+
+        // If P arrives within Q, there is a turn dependant on P
+        if (dir_info.arrival[0] == 1
+            && set_tp<0>(pi, pj, pk, tp, intersection_info))
+        {
+            AssignPolicy::apply(tp, pi, qi);
+            *out++ = tp;
+        }
+
+        // If Q arrives within P, there is a turn dependant on Q
+        if (dir_info.arrival[1] == 1
+            && set_tp<1>(qi, qj, qk, tp, intersection_info))
+        {
+            AssignPolicy::apply(tp, pi, qi);
+            *out++ = tp;
+        }
+    }
+};
+
+
+template
+<
+    typename TurnInfo,
+    typename SideStrategy
+>
+struct crosses : public base_turn_handler
+{
+    template
+    <
+        typename Point1,
+        typename Point2,
+        typename IntersectionInfo,
+        typename DirInfo
+    >
+    static inline void apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo& ti,
+                IntersectionInfo const& intersection_info,
+                DirInfo const& dir_info)
+    {
+        ti.method = method_crosses;
+        geometry::convert(intersection_info.intersections[0], ti.point);
+
+        // In all casees:
+        // If Q crosses P from left to right
+        // Union: take P
+        // Intersection: take Q
+        // Otherwise: vice versa
+        int const side_qi_p1 = dir_info.sides.template get<1, 0>();
+        int const index = side_qi_p1 == 1 ? 0 : 1;
+        ti.operations[index].operation = operation_union;
+        ti.operations[1 - index].operation = operation_intersection;
+    }
+};
+
+
+/*!
+\brief Policy doing nothing
+\details get_turn_info can have an optional policy to get/assign some
+    extra information. By default it does not, and this class
+    is that default.
+ */
+struct assign_null_policy
+{
+    template <typename Point1, typename Point2, typename Info>
+    static inline void apply(Info& info, Point1 const& p1, Point2 const& p2)
+    {}
+
+};
+
+
+/*!
+    \brief Turn information: intersection point, method, and turn information
+    \details Information necessary for traversal phase (a phase
+        of the overlay process). The information is gathered during the
+        get_turns (segment intersection) phase.
+    \tparam Point1 point type of first segment
+    \tparam Point2 point type of second segment
+    \tparam TurnInfo type of class getting intersection and turn info
+    \tparam AssignPolicy policy to assign extra info,
+        e.g. to calculate distance from segment's first points
+        to intersection points
+ */
+template
+<
+    typename Point1,
+    typename Point2,
+    typename TurnInfo,
+    typename AssignPolicy = assign_null_policy
+>
+struct get_turn_info
+{
+    typedef strategy_intersection
+        <
+            typename cs_tag<typename TurnInfo::point_type>::type,
+            Point1,
+            Point2,
+            typename TurnInfo::point_type
+        > si;
+
+    typedef typename si::segment_intersection_strategy_type strategy;
+
+
+
+    template <typename OutputIterator>
+    static inline OutputIterator apply(
+                Point1 const& pi, Point1 const& pj, Point1 const& pk,
+                Point2 const& qi, Point2 const& qj, Point2 const& qk,
+                TurnInfo const& tp_model,
+                OutputIterator out)
+    {
+        typedef model::referring_segment<Point1 const> segment_type1;
+        typedef model::referring_segment<Point1 const> segment_type2;
+        segment_type1 p1(pi, pj), p2(pj, pk);
+        segment_type2 q1(qi, qj), q2(qj, qk);
+
+        typename strategy::return_type result = strategy::apply(p1, q1);
+
+        char const method = result.template get<1>().how;
+
+        // Copy, to copy possibly extended fields
+        TurnInfo tp = tp_model;
+
+
+        // Select method and apply
+        switch(method)
+        {
+            case 'a' :
+            case 'f' :
+            case 's' :
+            case 'd' :
+                break;
+
+            case 'm' :
+            {
+                typedef touch_interior
+                    <
+                        TurnInfo,
+                        typename si::side_strategy_type
+                    > policy;
+
+                // If Q (1) arrives (1)
+                if (result.template get<1>().arrival[1] == 1)
+                {
+                    policy::template apply<0>(pi, pj, pk, qi, qj, qk,
+                                tp, result.template get<0>(), result.template get<1>());
+                }
+                else
+                {
+                    // Swap p/q
+                    policy::template apply<1>(qi, qj, qk, pi, pj, pk,
+                                tp, result.template get<0>(), result.template get<1>());
+                }
+                AssignPolicy::apply(tp, pi, qi);
+                *out++ = tp;
+            }
+            break;
+            case 'i' :
+            {
+                typedef crosses
+                    <
+                        TurnInfo,
+                        typename si::side_strategy_type
+                    > policy;
+
+                policy::apply(pi, pj, pk, qi, qj, qk,
+                    tp, result.template get<0>(), result.template get<1>());
+                AssignPolicy::apply(tp, pi, qi);
+                *out++ = tp;
+            }
+            break;
+            case 't' :
+            {
+                // Both touch (both arrive there)
+                typedef touch
+                    <
+                        TurnInfo,
+                        typename si::side_strategy_type
+                    > policy;
+
+                policy::apply(pi, pj, pk, qi, qj, qk,
+                    tp, result.template get<0>(), result.template get<1>());
+                AssignPolicy::apply(tp, pi, qi);
+                *out++ = tp;
+            }
+            break;
+            case 'e':
+            {
+                if (! result.template get<1>().opposite)
+                {
+                    // Both equal
+                    // or collinear-and-ending at intersection point
+                    typedef equal
+                        <
+                            TurnInfo,
+                            typename si::side_strategy_type
+                        > policy;
+
+                    policy::apply(pi, pj, pk, qi, qj, qk,
+                        tp, result.template get<0>(), result.template get<1>());
+                    AssignPolicy::apply(tp, pi, qi);
+                    *out++ = tp;
+                }
+                // If they ARE opposite, don't do anything.
+            }
+            break;
+            case 'c' :
+            {
+                // Collinear
+                if (! result.template get<1>().opposite)
+                {
+
+                    if (result.template get<1>().arrival[0] == 0)
+                    {
+                        // Collinear, but similar thus handled as equal
+                        equal
+                            <
+                                TurnInfo,
+                                typename si::side_strategy_type
+                            >::apply(pi, pj, pk, qi, qj, qk,
+                                tp, result.template get<0>(), result.template get<1>());
+
+                        // override assigned method
+                        tp.method = method_collinear;
+                    }
+                    else
+                    {
+                        collinear
+                            <
+                                TurnInfo,
+                                typename si::side_strategy_type
+                            >::apply(pi, pj, pk, qi, qj, qk,
+                                tp, result.template get<0>(), result.template get<1>());
+                    }
+
+                    AssignPolicy::apply(tp, pi, qi);
+                    *out++ = tp;
+                }
+                else
+                {
+                    collinear_opposite
+                        <
+                            TurnInfo,
+                            typename si::side_strategy_type,
+                            AssignPolicy
+                        >::apply(pi, pj, pk, qi, qj, qk,
+                            tp, out, result.template get<0>(), result.template get<1>());
+                }
+            }
+            break;
+            case '0' :
+               // degenerate points
+               break;
+            default :
+#ifdef BOOST_GEOMETRY_DEBUG_GET_TURNS
+                std::cout << "get_turns, nyi: " << method << std::endl;
+#endif
+                break;
+        }
+
+        return out;
+    }
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_TURN_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/get_turns.hpp

@@ -0,0 +1,864 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_GET_TURNS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_TURNS_HPP
+
+
+#include <cstddef>
+#include <map>
+
+#include <boost/array.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/tuple/tuple.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/reverse_dispatch.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/geometries/concepts/check.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+#include <boost/geometry/views/detail/range_type.hpp>
+
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+#include <boost/geometry/iterators/ever_circling_iterator.hpp>
+
+#include <boost/geometry/strategies/cartesian/cart_intersect.hpp>
+#include <boost/geometry/strategies/intersection.hpp>
+#include <boost/geometry/strategies/intersection_result.hpp>
+
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+#include <boost/geometry/algorithms/detail/partition.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turn_info.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/segment_identifier.hpp>
+
+
+#include <boost/geometry/algorithms/detail/sections/range_by_section.hpp>
+
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/algorithms/detail/sections/sectionalize.hpp>
+
+#ifdef BOOST_GEOMETRY_DEBUG_INTERSECTION
+#  include <sstream>
+#  include <boost/geometry/util/write_dsv.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace get_turns
+{
+
+
+struct no_interrupt_policy
+{
+    static bool const enabled = false;
+
+    template <typename Range>
+    static inline bool apply(Range const&)
+    {
+        return false;
+    }
+};
+
+
+template
+<
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Section1, typename Section2,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+class get_turns_in_sections
+{
+    typedef typename closeable_view
+        <
+            typename range_type<Geometry1>::type const,
+            closure<Geometry1>::value
+        >::type cview_type1;
+    typedef typename closeable_view
+        <
+            typename range_type<Geometry2>::type const,
+            closure<Geometry2>::value
+        >::type cview_type2;
+
+    typedef typename reversible_view
+        <
+            cview_type1 const,
+            Reverse1 ? iterate_reverse : iterate_forward
+        >::type view_type1;
+    typedef typename reversible_view
+        <
+            cview_type2 const,
+            Reverse2 ? iterate_reverse : iterate_forward
+        >::type view_type2;
+
+    typedef typename boost::range_iterator
+        <
+            view_type1 const
+        >::type range1_iterator;
+
+    typedef typename boost::range_iterator
+        <
+            view_type2 const
+        >::type range2_iterator;
+
+
+    template <typename Geometry, typename Section>
+    static inline bool neighbouring(Section const& section,
+            int index1, int index2)
+    {
+        // About n-2:
+        //   (square: range_count=5, indices 0,1,2,3
+        //    -> 0-3 are adjacent, don't check on intersections)
+        // Also tested for open polygons, and/or duplicates
+        // About first condition: will be optimized by compiler (static)
+        // It checks if it is areal (box,ring,(multi)polygon
+        int const n = int(section.range_count);
+        return boost::is_same
+                    <
+                        typename tag_cast
+                            <
+                                typename geometry::point_type<Geometry1>::type, 
+                                areal_tag
+                            >::type, 
+                        areal_tag
+                    >::value
+               && index1 == 0 
+               && index2 >= n - 2
+                ;
+    }
+
+
+public :
+    // Returns true if terminated, false if interrupted
+    static inline bool apply(
+            int source_id1, Geometry1 const& geometry1, Section1 const& sec1,
+            int source_id2, Geometry2 const& geometry2, Section2 const& sec2,
+            Turns& turns,
+            InterruptPolicy& interrupt_policy)
+    {
+        cview_type1 cview1(range_by_section(geometry1, sec1));
+        cview_type2 cview2(range_by_section(geometry2, sec2));
+        view_type1 view1(cview1);
+        view_type2 view2(cview2);
+
+        range1_iterator begin_range_1 = boost::begin(view1);
+        range1_iterator end_range_1 = boost::end(view1);
+
+        range2_iterator begin_range_2 = boost::begin(view2);
+        range2_iterator end_range_2 = boost::end(view2);
+
+        int const dir1 = sec1.directions[0];
+        int const dir2 = sec2.directions[0];
+        int index1 = sec1.begin_index;
+        int ndi1 = sec1.non_duplicate_index;
+
+        bool const same_source =
+            source_id1 == source_id2
+                    && sec1.ring_id.multi_index == sec2.ring_id.multi_index
+                    && sec1.ring_id.ring_index == sec2.ring_id.ring_index;
+
+        range1_iterator prev1, it1, end1;
+
+        get_start_point_iterator(sec1, view1, prev1, it1, end1,
+                    index1, ndi1, dir1, sec2.bounding_box);
+
+        // We need a circular iterator because it might run through the closing point.
+        // One circle is actually enough but this one is just convenient.
+        ever_circling_iterator<range1_iterator> next1(begin_range_1, end_range_1, it1, true);
+        next1++;
+
+        // Walk through section and stop if we exceed the other box
+        // section 2:    [--------------]
+        // section 1: |----|---|---|---|---|
+        for (prev1 = it1++, next1++;
+            it1 != end1 && ! exceeding<0>(dir1, *prev1, sec2.bounding_box);
+            ++prev1, ++it1, ++index1, ++next1, ++ndi1)
+        {
+            ever_circling_iterator<range1_iterator> nd_next1(
+                    begin_range_1, end_range_1, next1, true);
+            advance_to_non_duplicate_next(nd_next1, it1, sec1);
+
+            int index2 = sec2.begin_index;
+            int ndi2 = sec2.non_duplicate_index;
+
+            range2_iterator prev2, it2, end2;
+
+            get_start_point_iterator(sec2, view2, prev2, it2, end2,
+                        index2, ndi2, dir2, sec1.bounding_box);
+            ever_circling_iterator<range2_iterator> next2(begin_range_2, end_range_2, it2, true);
+            next2++;
+
+            for (prev2 = it2++, next2++;
+                it2 != end2 && ! exceeding<0>(dir2, *prev2, sec1.bounding_box);
+                ++prev2, ++it2, ++index2, ++next2, ++ndi2)
+            {
+                bool skip = same_source;
+                if (skip)
+                {
+                    // If sources are the same (possibly self-intersecting):
+                    // skip if it is a neighbouring segment.
+                    // (including first-last segment
+                    //  and two segments with one or more degenerate/duplicate
+                    //  (zero-length) segments in between)
+
+                    // Also skip if index1 < index2 to avoid getting all
+                    // intersections twice (only do this on same source!)
+
+                    skip = index1 >= index2
+                        || ndi2 == ndi1 + 1
+                        || neighbouring<Geometry1>(sec1, index1, index2)
+                        ;
+                }
+
+                if (! skip)
+                {
+                    // Move to the "non duplicate next"
+                    ever_circling_iterator<range2_iterator> nd_next2(
+                            begin_range_2, end_range_2, next2, true);
+                    advance_to_non_duplicate_next(nd_next2, it2, sec2);
+
+                    typedef typename boost::range_value<Turns>::type turn_info;
+                    typedef typename turn_info::point_type ip;
+
+                    turn_info ti;
+                    ti.operations[0].seg_id = segment_identifier(source_id1,
+                                        sec1.ring_id.multi_index, sec1.ring_id.ring_index, index1),
+                    ti.operations[1].seg_id = segment_identifier(source_id2,
+                                        sec2.ring_id.multi_index, sec2.ring_id.ring_index, index2),
+
+                    ti.operations[0].other_id = ti.operations[1].seg_id;
+                    ti.operations[1].other_id = ti.operations[0].seg_id;
+
+                    std::size_t const size_before = boost::size(turns);
+
+                    TurnPolicy::apply(*prev1, *it1, *nd_next1, *prev2, *it2, *nd_next2,
+                            ti, std::back_inserter(turns));
+
+                    if (InterruptPolicy::enabled)
+                    {
+                        if (interrupt_policy.apply(
+                            std::make_pair(boost::begin(turns) + size_before,
+                                boost::end(turns))))
+                        {
+                            return false;
+                        }
+                    }
+                }
+            }
+        }
+        return true;
+    }
+
+
+private :
+    typedef typename geometry::point_type<Geometry1>::type point1_type;
+    typedef typename geometry::point_type<Geometry2>::type point2_type;
+    typedef typename model::referring_segment<point1_type const> segment1_type;
+    typedef typename model::referring_segment<point2_type const> segment2_type;
+
+
+    template <size_t Dim, typename Point, typename Box>
+    static inline bool preceding(int dir, Point const& point, Box const& box)
+    {
+        return (dir == 1  && get<Dim>(point) < get<min_corner, Dim>(box))
+            || (dir == -1 && get<Dim>(point) > get<max_corner, Dim>(box));
+    }
+
+    template <size_t Dim, typename Point, typename Box>
+    static inline bool exceeding(int dir, Point const& point, Box const& box)
+    {
+        return (dir == 1  && get<Dim>(point) > get<max_corner, Dim>(box))
+            || (dir == -1 && get<Dim>(point) < get<min_corner, Dim>(box));
+    }
+
+    template <typename Iterator, typename RangeIterator, typename Section>
+    static inline void advance_to_non_duplicate_next(Iterator& next,
+            RangeIterator const& it, Section const& section)
+    {
+        // To see where the next segments bend to, in case of touch/intersections
+        // on end points, we need (in case of degenerate/duplicate points) an extra
+        // iterator which moves to the REAL next point, so non duplicate.
+        // This needs an extra comparison (disjoint).
+        // (Note that within sections, non duplicate points are already asserted,
+        //   by the sectionalize process).
+
+        // So advance to the "non duplicate next"
+        // (the check is defensive, to avoid endless loops)
+        std::size_t check = 0;
+        while(! detail::disjoint::disjoint_point_point(*it, *next)
+            && check++ < section.range_count)
+        {
+            next++;
+        }
+    }
+
+    // It is NOT possible to have section-iterators here
+    // because of the logistics of "index" (the section-iterator automatically
+    // skips to the begin-point, we loose the index or have to recalculate it)
+    // So we mimic it here
+    template <typename Range, typename Section, typename Box>
+    static inline void get_start_point_iterator(Section & section,
+            Range const& range,
+            typename boost::range_iterator<Range const>::type& it,
+            typename boost::range_iterator<Range const>::type& prev,
+            typename boost::range_iterator<Range const>::type& end,
+            int& index, int& ndi,
+            int dir, Box const& other_bounding_box)
+    {
+        it = boost::begin(range) + section.begin_index;
+        end = boost::begin(range) + section.end_index + 1;
+
+        // Mimic section-iterator:
+        // Skip to point such that section interects other box
+        prev = it++;
+        for(; it != end && preceding<0>(dir, *it, other_bounding_box);
+            prev = it++, index++, ndi++)
+        {}
+        // Go back one step because we want to start completely preceding
+        it = prev;
+    }
+};
+
+struct get_section_box
+{
+    template <typename Box, typename InputItem>
+    static inline void apply(Box& total, InputItem const& item)
+    {
+        geometry::expand(total, item.bounding_box);
+    }
+};
+
+struct ovelaps_section_box
+{
+    template <typename Box, typename InputItem>
+    static inline bool apply(Box const& box, InputItem const& item)
+    {
+        return ! detail::disjoint::disjoint_box_box(box, item.bounding_box);
+    }
+};
+
+template
+<
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct section_visitor
+{
+    int m_source_id1;
+    Geometry1 const& m_geometry1;
+    int m_source_id2;
+    Geometry2 const& m_geometry2;
+    Turns& m_turns;
+    InterruptPolicy& m_interrupt_policy;
+
+    section_visitor(int id1, Geometry1 const& g1,
+            int id2, Geometry2 const& g2,
+            Turns& turns, InterruptPolicy& ip)
+        : m_source_id1(id1), m_geometry1(g1)
+        , m_source_id2(id2), m_geometry2(g2)
+        , m_turns(turns)
+        , m_interrupt_policy(ip)
+    {}
+
+    template <typename Section>
+    inline bool apply(Section const& sec1, Section const& sec2)
+    {
+        if (! detail::disjoint::disjoint_box_box(sec1.bounding_box, sec2.bounding_box))
+        {
+            return get_turns_in_sections
+                    <
+                        Geometry1,
+                        Geometry2,
+                        Reverse1, Reverse2,
+                        Section, Section,
+                        Turns,
+                        TurnPolicy,
+                        InterruptPolicy
+                    >::apply(
+                            m_source_id1, m_geometry1, sec1,
+                            m_source_id2, m_geometry2, sec2,
+                            m_turns, m_interrupt_policy);
+        }
+        return true;
+    }
+
+};
+
+template
+<
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+class get_turns_generic
+{
+
+public:
+    static inline void apply(
+            int source_id1, Geometry1 const& geometry1,
+            int source_id2, Geometry2 const& geometry2,
+            Turns& turns, InterruptPolicy& interrupt_policy)
+    {
+        // First create monotonic sections...
+        typedef typename boost::range_value<Turns>::type ip_type;
+        typedef typename ip_type::point_type point_type;
+        typedef model::box<point_type> box_type;
+        typedef typename geometry::sections<box_type, 2> sections_type;
+
+        sections_type sec1, sec2;
+
+        geometry::sectionalize<Reverse1>(geometry1, sec1, 0);
+        geometry::sectionalize<Reverse2>(geometry2, sec2, 1);
+
+        // ... and then partition them, intersecting overlapping sections in visitor method
+        section_visitor
+            <
+                Geometry1, Geometry2,
+                Reverse1, Reverse2,
+                Turns, TurnPolicy, InterruptPolicy
+            > visitor(source_id1, geometry1, source_id2, geometry2, turns, interrupt_policy);
+
+        geometry::partition
+            <
+                box_type, get_section_box, ovelaps_section_box
+            >::apply(sec1, sec2, visitor);
+    }
+};
+
+
+// Get turns for a range with a box, following Cohen-Sutherland (cs) approach
+template
+<
+    typename Range, typename Box,
+    bool ReverseRange, bool ReverseBox,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns_cs
+{
+    typedef typename boost::range_value<Turns>::type turn_info;
+    typedef typename geometry::point_type<Range>::type point_type;
+    typedef typename geometry::point_type<Box>::type box_point_type;
+
+    typedef typename closeable_view
+        <
+            Range const,
+            closure<Range>::value
+        >::type cview_type;
+
+    typedef typename reversible_view
+        <
+            cview_type const,
+            ReverseRange ? iterate_reverse : iterate_forward
+        >::type view_type;
+
+    typedef typename boost::range_iterator
+        <
+            view_type const
+        >::type iterator_type;
+
+
+    static inline void apply(
+                int source_id1, Range const& range,
+                int source_id2, Box const& box,
+                Turns& turns,
+                InterruptPolicy& ,
+                int multi_index = -1, int ring_index = -1)
+    {
+        if (boost::size(range) <= 1)
+        {
+            return;
+        }
+
+        boost::array<box_point_type,4> bp;
+        assign_box_corners_oriented<ReverseBox>(box, bp);
+
+        cview_type cview(range);
+        view_type view(cview);
+
+        iterator_type it = boost::begin(view);
+
+        ever_circling_iterator<iterator_type> next(
+                boost::begin(view), boost::end(view), it, true);
+        next++;
+        next++;
+
+        //bool first = true;
+
+        //char previous_side[2] = {0, 0};
+
+        int index = 0;
+
+        for (iterator_type prev = it++;
+            it != boost::end(view);
+            prev = it++, next++, index++)
+        {
+            segment_identifier seg_id(source_id1,
+                        multi_index, ring_index, index);
+
+            /*if (first)
+            {
+                previous_side[0] = get_side<0>(box, *prev);
+                previous_side[1] = get_side<1>(box, *prev);
+            }
+
+            char current_side[2];
+            current_side[0] = get_side<0>(box, *it);
+            current_side[1] = get_side<1>(box, *it);
+
+            // There can NOT be intersections if
+            // 1) EITHER the two points are lying on one side of the box (! 0 && the same)
+            // 2) OR same in Y-direction
+            // 3) OR all points are inside the box (0)
+            if (! (
+                (current_side[0] != 0 && current_side[0] == previous_side[0])
+                || (current_side[1] != 0 && current_side[1] == previous_side[1])
+                || (current_side[0] == 0
+                        && current_side[1] == 0
+                        && previous_side[0] == 0
+                        && previous_side[1] == 0)
+                  )
+                )*/
+            if (true)
+            {
+                get_turns_with_box(seg_id, source_id2,
+                        *prev, *it, *next,
+                        bp[0], bp[1], bp[2], bp[3],
+                        turns);
+                // Future performance enhancement: 
+                // return if told by the interrupt policy 
+            }
+        }
+    }
+
+private:
+    template<std::size_t Index, typename Point>
+    static inline int get_side(Box const& box, Point const& point)
+    {
+        // Inside -> 0
+        // Outside -> -1 (left/below) or 1 (right/above)
+        // On border -> -2 (left/lower) or 2 (right/upper)
+        // The only purpose of the value is to not be the same,
+        // and to denote if it is inside (0)
+
+        typename coordinate_type<Point>::type const& c = get<Index>(point);
+        typename coordinate_type<Box>::type const& left = get<min_corner, Index>(box);
+        typename coordinate_type<Box>::type const& right = get<max_corner, Index>(box);
+
+        if (geometry::math::equals(c, left)) return -2;
+        else if (geometry::math::equals(c, right)) return 2;
+        else if (c < left) return -1;
+        else if (c > right) return 1;
+        else return 0;
+    }
+
+    static inline void get_turns_with_box(segment_identifier const& seg_id, int source_id2,
+            // Points from a range:
+            point_type const& rp0,
+            point_type const& rp1,
+            point_type const& rp2,
+            // Points from the box
+            box_point_type const& bp0,
+            box_point_type const& bp1,
+            box_point_type const& bp2,
+            box_point_type const& bp3,
+            // Output
+            Turns& turns)
+    {
+        // Depending on code some relations can be left out
+
+        typedef typename boost::range_value<Turns>::type turn_info;
+
+        turn_info ti;
+        ti.operations[0].seg_id = seg_id;
+        ti.operations[0].other_id = ti.operations[1].seg_id;
+        ti.operations[1].other_id = seg_id;
+
+        ti.operations[1].seg_id = segment_identifier(source_id2, -1, -1, 0);
+        TurnPolicy::apply(rp0, rp1, rp2, bp0, bp1, bp2,
+                ti, std::back_inserter(turns));
+
+        ti.operations[1].seg_id = segment_identifier(source_id2, -1, -1, 1);
+        TurnPolicy::apply(rp0, rp1, rp2, bp1, bp2, bp3,
+                ti, std::back_inserter(turns));
+
+        ti.operations[1].seg_id = segment_identifier(source_id2, -1, -1, 2);
+        TurnPolicy::apply(rp0, rp1, rp2, bp2, bp3, bp0,
+                ti, std::back_inserter(turns));
+
+        ti.operations[1].seg_id = segment_identifier(source_id2, -1, -1, 3);
+        TurnPolicy::apply(rp0, rp1, rp2, bp3, bp0, bp1,
+                ti, std::back_inserter(turns));
+    }
+
+};
+
+
+template
+<
+    typename Polygon, typename Box,
+    bool Reverse, bool ReverseBox,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns_polygon_cs
+{
+    static inline void apply(
+            int source_id1, Polygon const& polygon,
+            int source_id2, Box const& box,
+            Turns& turns, InterruptPolicy& interrupt_policy,
+            int multi_index = -1)
+    {
+        typedef typename geometry::ring_type<Polygon>::type ring_type;
+
+        typedef detail::get_turns::get_turns_cs
+            <
+                ring_type, Box,
+                Reverse, ReverseBox,
+                Turns,
+                TurnPolicy,
+                InterruptPolicy
+            > intersector_type;
+
+        intersector_type::apply(
+                source_id1, geometry::exterior_ring(polygon),
+                source_id2, box, turns, interrupt_policy,
+                multi_index, -1);
+
+        int i = 0;
+
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(polygon);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings);
+            ++it, ++i)
+        {
+            intersector_type::apply(
+                    source_id1, *it,
+                    source_id2, box, turns, interrupt_policy,
+                    multi_index, i);
+        }
+
+    }
+};
+
+}} // namespace detail::get_turns
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// Because this is "detail" method, and most implementations will use "generic",
+// we take the freedom to derive it from "generic".
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns
+    : detail::get_turns::get_turns_generic
+        <
+            Geometry1, Geometry2,
+            Reverse1, Reverse2,
+            Turns,
+            TurnPolicy,
+            InterruptPolicy
+        >
+{};
+
+
+template
+<
+    typename Polygon, typename Box,
+    bool ReversePolygon, bool ReverseBox,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns
+    <
+        polygon_tag, box_tag,
+        Polygon, Box,
+        ReversePolygon, ReverseBox,
+        Turns,
+        TurnPolicy,
+        InterruptPolicy
+    > : detail::get_turns::get_turns_polygon_cs
+            <
+                Polygon, Box,
+                ReversePolygon, ReverseBox,
+                Turns, TurnPolicy, InterruptPolicy
+            >
+{};
+
+
+template
+<
+    typename Ring, typename Box,
+    bool ReverseRing, bool ReverseBox,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns
+    <
+        ring_tag, box_tag,
+        Ring, Box,
+        ReverseRing, ReverseBox,
+        Turns,
+        TurnPolicy,
+        InterruptPolicy
+    > : detail::get_turns::get_turns_cs
+            <
+                Ring, Box, ReverseRing, ReverseBox,
+                Turns, TurnPolicy, InterruptPolicy
+            >
+
+{};
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns_reversed
+{
+    static inline void apply(
+            int source_id1, Geometry1 const& g1,
+            int source_id2, Geometry2 const& g2,
+            Turns& turns, InterruptPolicy& interrupt_policy)
+    {
+        get_turns
+            <
+                GeometryTag2, GeometryTag1,
+                Geometry2, Geometry1,
+                Reverse2, Reverse1,
+                Turns, TurnPolicy,
+                InterruptPolicy
+            >::apply(source_id2, g2, source_id1, g1, turns, interrupt_policy);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+/*!
+\brief \brief_calc2{turn points}
+\ingroup overlay
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Turns type of turn-container (e.g. vector of "intersection/turn point"'s)
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param turns container which will contain turn points
+\param interrupt_policy policy determining if process is stopped
+    when intersection is found
+ */
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename AssignPolicy,
+    typename Geometry1,
+    typename Geometry2,
+    typename Turns,
+    typename InterruptPolicy
+>
+inline void get_turns(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            Turns& turns,
+            InterruptPolicy& interrupt_policy)
+{
+    concept::check_concepts_and_equal_dimensions<Geometry1 const, Geometry2 const>();
+
+    typedef typename strategy_intersection
+        <
+            typename cs_tag<Geometry1>::type,
+            Geometry1,
+            Geometry2,
+            typename boost::range_value<Turns>::type
+        >::segment_intersection_strategy_type segment_intersection_strategy_type;
+
+    typedef detail::overlay::get_turn_info
+        <
+            typename point_type<Geometry1>::type,
+            typename point_type<Geometry2>::type,
+            typename boost::range_value<Turns>::type,
+            AssignPolicy
+        > TurnPolicy;
+
+    boost::mpl::if_c
+        <
+            reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::get_turns_reversed
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1, Geometry2,
+                Reverse1, Reverse2,
+                Turns, TurnPolicy,
+                InterruptPolicy
+            >,
+            dispatch::get_turns
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1, Geometry2,
+                Reverse1, Reverse2,
+                Turns, TurnPolicy,
+                InterruptPolicy
+            >
+        >::type::apply(
+            0, geometry1,
+            1, geometry2,
+            turns, interrupt_policy);
+}
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_TURNS_HPP

test/external/boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp

@@ -0,0 +1,666 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_HANDLE_TANGENCIES_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_HANDLE_TANGENCIES_HPP
+
+#include <algorithm>
+
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+#include <boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+
+#include <boost/geometry/geometries/segment.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template
+<
+    typename TurnPoints,
+    typename Indexed,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2,
+    typename Strategy
+>
+struct sort_in_cluster
+{
+    inline sort_in_cluster(TurnPoints const& turn_points
+            , Geometry1 const& geometry1
+            , Geometry2 const& geometry2
+            , Strategy const& strategy)
+        : m_turn_points(turn_points)
+        , m_geometry1(geometry1)
+        , m_geometry2(geometry2)
+        , m_strategy(strategy)
+    {}
+
+private :
+
+    TurnPoints const& m_turn_points;
+    Geometry1 const& m_geometry1;
+    Geometry2 const& m_geometry2;
+    Strategy const& m_strategy;
+
+    typedef typename Indexed::type turn_operation_type;
+    typedef typename geometry::point_type<Geometry1>::type point_type;
+    typedef model::referring_segment<point_type const> segment_type;
+
+    // Determine how p/r and p/s are located.
+    template <typename P>
+    static inline void overlap_info(P const& pi, P const& pj,
+        P const& ri, P const& rj,
+        P const& si, P const& sj,
+        bool& pr_overlap, bool& ps_overlap, bool& rs_overlap)
+    {
+        // Determine how p/r and p/s are located.
+        // One of them is coming from opposite direction.
+
+        typedef strategy::intersection::relate_cartesian_segments
+            <
+                policies::relate::segments_intersection_points
+                    <
+                        segment_type,
+                        segment_type,
+                        segment_intersection_points<point_type>
+                    >
+            > policy;
+
+        segment_type p(pi, pj);
+        segment_type r(ri, rj);
+        segment_type s(si, sj);
+
+        // Get the intersection point (or two points)
+        segment_intersection_points<point_type> pr = policy::apply(p, r);
+        segment_intersection_points<point_type> ps = policy::apply(p, s);
+        segment_intersection_points<point_type> rs = policy::apply(r, s);
+
+        // Check on overlap
+        pr_overlap = pr.count == 2;
+        ps_overlap = ps.count == 2;
+        rs_overlap = rs.count == 2;
+    }
+
+
+    inline void debug_consider(int order, Indexed const& left,
+            Indexed const& right, std::string const& header,
+            bool skip = true,
+            std::string const& extra = "", bool ret = false
+        ) const
+    {
+        if (skip) return;
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+        point_type pi, pj, ri, rj, si, sj;
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.seg_id,
+            pi, pj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.other_id,
+            ri, rj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            right.subject.other_id,
+            si, sj);
+
+        bool prc = false, psc = false, rsc = false;
+        overlap_info(pi, pj, ri, rj, si, sj, prc, psc, rsc);
+
+        int const side_ri_p = m_strategy.apply(pi, pj, ri);
+        int const side_rj_p = m_strategy.apply(pi, pj, rj);
+        int const side_si_p = m_strategy.apply(pi, pj, si);
+        int const side_sj_p = m_strategy.apply(pi, pj, sj);
+        int const side_si_r = m_strategy.apply(ri, rj, si);
+        int const side_sj_r = m_strategy.apply(ri, rj, sj);
+
+        std::cout << "Case: " << header << " for " << left.index << " / " << right.index << std::endl;
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH_MORE
+        std::cout << " Segment p:" << geometry::wkt(pi) << " .. " << geometry::wkt(pj) << std::endl;
+        std::cout << " Segment r:" << geometry::wkt(ri) << " .. " << geometry::wkt(rj) << std::endl;
+        std::cout << " Segment s:" << geometry::wkt(si) << " .. " << geometry::wkt(sj) << std::endl;
+
+        std::cout << " r//p: " << side_ri_p << " / " << side_rj_p << std::endl;
+        std::cout << " s//p: " << side_si_p << " / " << side_sj_p << std::endl;
+        std::cout << " s//r: " << side_si_r << " / " << side_sj_r << std::endl;
+#endif
+
+        std::cout << header
+                //<< " order: " << order
+                << " ops: " << operation_char(left.subject.operation)
+                    << "/" << operation_char(right.subject.operation)
+                << " ri//p: " << side_ri_p
+                << " si//p: " << side_si_p
+                << " si//r: " << side_si_r
+                << " cnts: " << int(prc) << ","  << int(psc) << "," << int(rsc)
+                //<< " idx: " << left.index << "/" << right.index
+                ;
+
+        if (! extra.empty())
+        {
+            std::cout << " " << extra << " " << (ret ? "true" : "false");
+        }
+        std::cout << std::endl;
+#endif
+    }
+
+
+    // ux/ux
+    inline bool consider_ux_ux(Indexed const& left,
+            Indexed const& right
+            , std::string const& header
+        ) const
+    {
+        bool ret = left.index < right.index;
+
+        // In combination of u/x, x/u: take first union, then blocked.
+        // Solves #88, #61, #56, #80
+        if (left.subject.operation == operation_union
+            && right.subject.operation == operation_blocked)
+        {
+            ret = true;
+        }
+        else if (left.subject.operation == operation_blocked
+            && right.subject.operation == operation_union)
+        {
+            ret = false;
+        }
+        else
+        {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+            std::cout << "ux/ux unhandled" << std::endl;
+#endif
+        }
+
+        //debug_consider(0, left, right, header, false, "-> return ", ret);
+
+        return ret;
+    }
+
+    inline bool consider_iu_ux(Indexed const& left,
+            Indexed const& right,
+            int order // 1: iu first, -1: ux first
+            , std::string const& header
+        ) const
+    {
+        bool ret = false;
+
+        if (left.subject.operation == operation_union
+            && right.subject.operation == operation_union)
+        {
+            ret = order == 1;
+        }
+        else if (left.subject.operation == operation_union
+            && right.subject.operation == operation_blocked)
+        {
+            ret = true;
+        }
+        else if (right.subject.operation == operation_union
+            && left.subject.operation == operation_blocked)
+        {
+            ret = false;
+        }
+        else if (left.subject.operation == operation_union)
+        {
+            ret = true;
+        }
+        else if (right.subject.operation == operation_union)
+        {
+            ret = false;
+        }
+        else
+        {
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+            // this still happens in the traverse.cpp test
+            std::cout << " iu/ux unhandled" << std::endl;
+#endif
+            ret = order == 1;
+        }
+
+        //debug_consider(0, left, right, header, false, "-> return", ret);
+        return ret;
+    }
+
+    inline bool consider_iu_ix(Indexed const& left,
+            Indexed const& right,
+            int order // 1: iu first, -1: ix first
+            , std::string const& header
+        ) const
+    {
+        //debug_consider(order, left, right, header, false, "iu/ix");
+
+        return left.subject.operation == operation_intersection
+                && right.subject.operation == operation_intersection ? order == 1
+            : left.subject.operation == operation_intersection ? false
+            : right.subject.operation == operation_intersection ? true
+            : order == 1;
+    }
+
+
+    inline bool consider_iu_iu(Indexed const& left, Indexed const& right,
+                    std::string const& header) const
+    {
+        //debug_consider(0, left, right, header);
+
+        // In general, order it like "union, intersection".
+        if (left.subject.operation == operation_intersection
+            && right.subject.operation == operation_union)
+        {
+            //debug_consider(0, left, right, header, false, "i,u", false);
+            return false;
+        }
+        else if (left.subject.operation == operation_union
+            && right.subject.operation == operation_intersection)
+        {
+            //debug_consider(0, left, right, header, false, "u,i", true);
+            return true;
+        }
+
+        point_type pi, pj, ri, rj, si, sj;
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.seg_id,
+            pi, pj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.other_id,
+            ri, rj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            right.subject.other_id,
+            si, sj);
+
+        int const side_ri_p = m_strategy.apply(pi, pj, ri);
+        int const side_si_p = m_strategy.apply(pi, pj, si);
+        int const side_si_r = m_strategy.apply(ri, rj, si);
+
+        // Both located at same side (#58, pie_21_7_21_0_3)
+        if (side_ri_p * side_si_p == 1 && side_si_r != 0)
+        {
+            // Take the most left one
+            if (left.subject.operation == operation_union
+                && right.subject.operation == operation_union)
+            {
+                bool ret = side_si_r == 1;
+                //debug_consider(0, left, right, header, false, "same side", ret);
+                return ret;
+            }
+        }
+
+
+        // Coming from opposite sides (#59, #99)
+        if (side_ri_p * side_si_p == -1)
+        {
+            bool ret = false;
+
+            {
+                ret = side_ri_p == 1; // #100
+                debug_consider(0, left, right, header, false, "opp.", ret);
+                return ret;
+            }
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+            std::cout << " iu/iu coming from opposite unhandled" << std::endl;
+#endif
+        }
+
+        // We need EXTRA information here: are p/r/s overlapping?
+        bool pr_ov = false, ps_ov = false, rs_ov = false;
+        overlap_info(pi, pj, ri, rj, si, sj, pr_ov, ps_ov, rs_ov);
+
+        // One coming from right (#83,#90)
+        // One coming from left (#90, #94, #95)
+        if (side_si_r != 0 && (side_ri_p != 0 || side_si_p != 0))
+        {
+            bool ret = false;
+
+            if (pr_ov || ps_ov)
+            {
+                int r = side_ri_p != 0 ? side_ri_p : side_si_p;
+                ret = r * side_si_r == 1;
+            }
+            else
+            {
+                ret = side_si_r == 1;
+            }
+
+            debug_consider(0, left, right, header, false, "left or right", ret);
+            return ret;
+        }
+
+        // All aligned (#92, #96)
+        if (side_ri_p == 0 && side_si_p == 0 && side_si_r == 0)
+        {
+            // One of them is coming from opposite direction.
+
+            // Take the one NOT overlapping
+            bool ret = false;
+            bool found = false;
+            if (pr_ov && ! ps_ov)
+            {
+                ret = true;
+                found = true;
+            }
+            else if (!pr_ov && ps_ov)
+            {
+                ret = false;
+                found = true;
+            }
+
+            debug_consider(0, left, right, header, false, "aligned", ret);
+            if (found)
+            {
+                return ret;
+            }
+        }
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+        std::cout << " iu/iu unhandled" << std::endl;
+        debug_consider(0, left, right, header, false, "unhandled", left.index < right.index);
+#endif
+        return left.index < right.index;
+    }
+
+    inline bool consider_ii(Indexed const& left, Indexed const& right,
+                    std::string const& header) const
+    {
+        debug_consider(0, left, right, header);
+
+        point_type pi, pj, ri, rj, si, sj;
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.seg_id,
+            pi, pj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            left.subject.other_id,
+            ri, rj);
+        geometry::copy_segment_points<Reverse1, Reverse2>(m_geometry1, m_geometry2,
+            right.subject.other_id,
+            si, sj);
+
+        int const side_ri_p = m_strategy.apply(pi, pj, ri);
+        int const side_si_p = m_strategy.apply(pi, pj, si);
+
+        // Two other points are (mostly) lying both right of the considered segment
+        // Take the most left one
+        int const side_si_r = m_strategy.apply(ri, rj, si);
+        if (side_ri_p == -1
+            && side_si_p == -1
+            && side_si_r != 0)
+        {
+            bool const ret = side_si_r != 1;
+            return ret;
+        }
+        return left.index < right.index;
+    }
+
+
+public :
+    inline bool operator()(Indexed const& left, Indexed const& right) const
+    {
+        bool const default_order = left.index < right.index;
+
+        if ((m_turn_points[left.index].discarded || left.discarded)
+            && (m_turn_points[right.index].discarded || right.discarded))
+        {
+            return default_order;
+        }
+        else if (m_turn_points[left.index].discarded || left.discarded)
+        {
+            // Be careful to sort discarded first, then all others
+            return true;
+        }
+        else if (m_turn_points[right.index].discarded || right.discarded)
+        {
+            // See above so return false here such that right (discarded)
+            // is sorted before left (not discarded)
+            return false;
+        }
+        else if (m_turn_points[left.index].combination(operation_blocked, operation_union)
+                && m_turn_points[right.index].combination(operation_blocked, operation_union))
+        {
+            // ux/ux
+            return consider_ux_ux(left, right, "ux/ux");
+        }
+        else if (m_turn_points[left.index].both(operation_union)
+            && m_turn_points[right.index].both(operation_union))
+        {
+            // uu/uu, Order is arbitrary
+            // Note: uu/uu is discarded now before so this point will
+            //       not be reached.
+            return default_order;
+        }
+        else if (m_turn_points[left.index].combination(operation_intersection, operation_union)
+                && m_turn_points[right.index].combination(operation_intersection, operation_union))
+        {
+            return consider_iu_iu(left, right, "iu/iu");
+        }
+        else if (m_turn_points[left.index].both(operation_intersection)
+                && m_turn_points[right.index].both(operation_intersection))
+        {
+            return consider_ii(left, right, "ii/ii");
+        }
+        else  if (m_turn_points[left.index].combination(operation_union, operation_blocked)
+                && m_turn_points[right.index].combination(operation_intersection, operation_union))
+        {
+            return consider_iu_ux(left, right, -1, "ux/iu");
+        }
+        else if (m_turn_points[left.index].combination(operation_intersection, operation_union)
+                && m_turn_points[right.index].combination(operation_union, operation_blocked))
+        {
+            return consider_iu_ux(left, right, 1, "iu/ux");
+        }
+        else  if (m_turn_points[left.index].combination(operation_intersection, operation_blocked)
+                && m_turn_points[right.index].combination(operation_intersection, operation_union))
+        {
+            return consider_iu_ix(left, right, 1, "ix/iu");
+        }
+        else if (m_turn_points[left.index].combination(operation_intersection, operation_union)
+                && m_turn_points[right.index].combination(operation_intersection, operation_blocked))
+        {
+            return consider_iu_ix(left, right, -1, "iu/ix");
+        }
+        else if (m_turn_points[left.index].method != method_equal
+            && m_turn_points[right.index].method == method_equal
+            )
+        {
+            // If one of them was EQUAL or CONTINUES, it should always come first
+            return false;
+        }
+        else if (m_turn_points[left.index].method == method_equal
+            && m_turn_points[right.index].method != method_equal
+            )
+        {
+            return true;
+        }
+
+        // Now we have no clue how to sort.
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+        std::cout << " Consider: " << operation_char(m_turn_points[left.index].operations[0].operation)
+                << operation_char(m_turn_points[left.index].operations[1].operation)
+                << "/" << operation_char(m_turn_points[right.index].operations[0].operation)
+                << operation_char(m_turn_points[right.index].operations[1].operation)
+                << " " << " Take " << left.index << " < " << right.index
+                << std::cout;
+#endif
+
+        return default_order;
+    }
+};
+
+
+
+template
+<
+    typename IndexType,
+    typename Iterator,
+    typename TurnPoints,
+    typename Geometry1,
+    typename Geometry2,
+    typename Strategy
+>
+inline void inspect_cluster(Iterator begin_cluster, Iterator end_cluster,
+            TurnPoints& turn_points,
+            operation_type for_operation,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            Strategy const& strategy)
+{
+    int count = 0;
+
+    // Make an analysis about all occuring cases here.
+    std::map<std::pair<operation_type, operation_type>, int> inspection;
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        operation_type first = turn_points[it->index].operations[0].operation;
+        operation_type second = turn_points[it->index].operations[1].operation;
+        if (first > second)
+        {
+            std::swap(first, second);
+        }
+        inspection[std::make_pair(first, second)]++;
+        count++;
+    }
+
+
+    bool keep_cc = false;
+
+    // Decide about which is going to be discarded here.
+    if (inspection[std::make_pair(operation_union, operation_union)] == 1
+        && inspection[std::make_pair(operation_continue, operation_continue)] == 1)
+    {
+        // In case of uu/cc, discard the uu, that indicates a tangency and
+        // inclusion would disturb the (e.g.) cc-cc-cc ordering
+        // NOTE: uu is now discarded anyhow.
+        keep_cc = true;
+    }
+    else if (count == 2
+        && inspection[std::make_pair(operation_intersection, operation_intersection)] == 1
+        && inspection[std::make_pair(operation_union, operation_intersection)] == 1)
+    {
+        // In case of ii/iu, discard the iu. The ii should always be visited,
+        // Because (in case of not discarding iu) correctly ordering of ii/iu appears impossible
+        for (Iterator it = begin_cluster; it != end_cluster; ++it)
+        {
+            if (turn_points[it->index].combination(operation_intersection, operation_union))
+            {
+                it->discarded = true;
+            }
+        }
+    }
+
+    // Discard any continue turn, unless it is the only thing left
+    //    (necessary to avoid cc-only rings, all being discarded
+    //    e.g. traversal case #75)
+    int nd_count= 0, cc_count = 0;
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        if (! it->discarded)
+        {
+            nd_count++;
+            if (turn_points[it->index].both(operation_continue))
+            {
+                cc_count++;
+            }
+        }
+    }
+
+    if (nd_count == cc_count)
+    {
+        keep_cc = true;
+    }
+
+    if (! keep_cc)
+    {
+        for (Iterator it = begin_cluster; it != end_cluster; ++it)
+        {
+            if (turn_points[it->index].both(operation_continue))
+            {
+                it->discarded = true;
+            }
+        }
+    }
+}
+
+
+template
+<
+    typename IndexType,
+    bool Reverse1, bool Reverse2,
+    typename Iterator,
+    typename TurnPoints,
+    typename Geometry1,
+    typename Geometry2,
+    typename Strategy
+>
+inline void handle_cluster(Iterator begin_cluster, Iterator end_cluster,
+            TurnPoints& turn_points,
+            operation_type for_operation,
+            Geometry1 const& geometry1, Geometry2 const& geometry2,
+            Strategy const& strategy)
+{
+    // First inspect and (possibly) discard rows
+    inspect_cluster<IndexType>(begin_cluster, end_cluster, turn_points,
+            for_operation, geometry1, geometry2, strategy);
+
+
+    // Then sort this range (discard rows will be ordered first and will be removed in enrich_assign)
+    std::sort(begin_cluster, end_cluster,
+                sort_in_cluster
+                    <
+                        TurnPoints,
+                        IndexType,
+                        Geometry1, Geometry2,
+                        Reverse1, Reverse2,
+                        Strategy
+                    >(turn_points, geometry1, geometry2, strategy));
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+    typedef typename IndexType::type operations_type;
+    operations_type const& op = turn_points[begin_cluster->index].operations[begin_cluster->operation_index];
+    std::cout << "Clustered points on equal distance " << op.enriched.distance << std::endl;
+    std::cout << "->Indexes ";
+
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        std::cout << " " << it->index;
+    }
+    std::cout << std::endl << "->Methods: ";
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        std::cout << " " << method_char(turn_points[it->index].method);
+    }
+    std::cout << std::endl << "->Operations: ";
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        std::cout << " " << operation_char(turn_points[it->index].operations[0].operation)
+            << operation_char(turn_points[it->index].operations[1].operation);
+    }
+    std::cout << std::endl << "->Discarded: ";
+    for (Iterator it = begin_cluster; it != end_cluster; ++it)
+    {
+        std::cout << " " << (it->discarded ? "true" : "false");
+    }
+    std::cout << std::endl;
+        //<< "\tOn segments: "    << prev_op.seg_id  << " / "  << prev_op.other_id
+        //<< " and "  << op.seg_id << " / " << op.other_id
+        //<< geometry::distance(turn_points[prev->index].point, turn_points[it->index].point)
+#endif
+
+}
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_HANDLE_TANGENCIES_HPP

test/external/boost/geometry/algorithms/detail/overlay/intersection_insert.hpp

@@ -0,0 +1,527 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_INTERSECTION_INSERT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_INTERSECTION_INSERT_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/if.hpp>
+#include <boost/mpl/assert.hpp>
+#include <boost/range/metafunctions.hpp>
+
+
+#include <boost/geometry/core/is_areal.hpp>
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/detail/overlay/clip_linestring.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp>
+#include <boost/geometry/algorithms/detail/overlay/overlay.hpp>
+#include <boost/geometry/algorithms/detail/overlay/overlay_type.hpp>
+#include <boost/geometry/views/segment_view.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace intersection
+{
+
+template
+<
+    typename Segment1, typename Segment2,
+    typename OutputIterator, typename PointOut,
+    typename Strategy
+>
+struct intersection_segment_segment_point
+{
+    static inline OutputIterator apply(Segment1 const& segment1,
+            Segment2 const& segment2, OutputIterator out,
+            Strategy const& strategy)
+    {
+        typedef typename point_type<PointOut>::type point_type;
+
+        // Get the intersection point (or two points)
+        segment_intersection_points<point_type> is
+            = strategy::intersection::relate_cartesian_segments
+            <
+                policies::relate::segments_intersection_points
+                    <
+                        Segment1,
+                        Segment2,
+                        segment_intersection_points<point_type>
+                    >
+            >::apply(segment1, segment2);
+
+        for (std::size_t i = 0; i < is.count; i++)
+        {
+            PointOut p;
+            geometry::convert(is.intersections[i], p);
+            *out++ = p;
+        }
+        return out;
+    }
+};
+
+template
+<
+    typename Linestring1, typename Linestring2,
+    typename OutputIterator, typename PointOut,
+    typename Strategy
+>
+struct intersection_linestring_linestring_point
+{
+    static inline OutputIterator apply(Linestring1 const& linestring1,
+            Linestring2 const& linestring2, OutputIterator out,
+            Strategy const& strategy)
+    {
+        typedef typename point_type<PointOut>::type point_type;
+
+        typedef detail::overlay::turn_info<point_type> turn_info;
+        std::deque<turn_info> turns;
+
+        geometry::get_intersection_points(linestring1, linestring2, turns);
+
+        for (typename boost::range_iterator<std::deque<turn_info> const>::type
+            it = boost::begin(turns); it != boost::end(turns); ++it)
+        {
+            PointOut p;
+            geometry::convert(it->point, p);
+            *out++ = p;
+        }
+        return out;
+    }
+};
+
+}} // namespace detail::intersection
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    // tag dispatching:
+    typename TagIn1, typename TagIn2, typename TagOut,
+    // orientation
+    // metafunction finetuning helpers:
+    bool Areal1, bool Areal2, bool ArealOut,
+    // real types
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator,
+    typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPES_OR_ORIENTATIONS
+            , (types<Geometry1, Geometry2, GeometryOut>)
+        );
+};
+
+
+template
+<
+    typename TagIn1, typename TagIn2, typename TagOut,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator,
+    typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        TagIn1, TagIn2, TagOut,
+        true, true, true,
+        Geometry1, Geometry2,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType,
+        Strategy
+    > : detail::overlay::overlay
+        <Geometry1, Geometry2, Reverse1, Reverse2, ReverseOut, OutputIterator, GeometryOut, OverlayType, Strategy>
+{};
+
+
+// Any areal type with box:
+template
+<
+    typename TagIn, typename TagOut,
+    typename Geometry, typename Box,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator,
+    typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        TagIn, box_tag, TagOut,
+        true, true, true,
+        Geometry, Box,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType,
+        Strategy
+    > : detail::overlay::overlay
+        <Geometry, Box, Reverse1, Reverse2, ReverseOut, OutputIterator, GeometryOut, OverlayType, Strategy>
+{};
+
+
+template
+<
+    typename Segment1, typename Segment2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        segment_tag, segment_tag, point_tag,
+        false, false, false,
+        Segment1, Segment2,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType, Strategy
+    > : detail::intersection::intersection_segment_segment_point
+            <
+                Segment1, Segment2,
+                OutputIterator, GeometryOut,
+                Strategy
+            >
+{};
+
+
+template
+<
+    typename Linestring1, typename Linestring2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        linestring_tag, linestring_tag, point_tag,
+        false, false, false,
+        Linestring1, Linestring2,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType, Strategy
+    > : detail::intersection::intersection_linestring_linestring_point
+            <
+                Linestring1, Linestring2,
+                OutputIterator, GeometryOut,
+                Strategy
+            >
+{};
+
+
+template
+<
+    typename Linestring, typename Box,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        linestring_tag, box_tag, linestring_tag,
+        false, true, false,
+        Linestring, Box,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType,
+        Strategy
+    >
+{
+    static inline OutputIterator apply(Linestring const& linestring,
+            Box const& box, OutputIterator out, Strategy const& strategy)
+    {
+        typedef typename point_type<GeometryOut>::type point_type;
+        strategy::intersection::liang_barsky<Box, point_type> lb_strategy;
+        return detail::intersection::clip_range_with_box
+            <GeometryOut>(box, linestring, out, lb_strategy);
+    }
+};
+
+template
+<
+    typename Segment, typename Box,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        segment_tag, box_tag, linestring_tag,
+        false, true, false,
+        Segment, Box,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        OverlayType,
+        Strategy
+    >
+{
+    static inline OutputIterator apply(Segment const& segment,
+            Box const& box, OutputIterator out, Strategy const& strategy)
+    {
+        geometry::segment_view<Segment> range(segment);
+
+        typedef typename point_type<GeometryOut>::type point_type;
+        strategy::intersection::liang_barsky<Box, point_type> lb_strategy;
+        return detail::intersection::clip_range_with_box
+            <GeometryOut>(box, range, out, lb_strategy);
+    }
+};
+
+template
+<
+    typename Tag1, typename Tag2,
+    bool Areal1, bool Areal2,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename PointOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert
+    <
+        Tag1, Tag2, point_tag,
+        Areal1, Areal2, false,
+        Geometry1, Geometry2,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, PointOut,
+        OverlayType,
+        Strategy
+    >
+{
+    static inline OutputIterator apply(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, OutputIterator out, Strategy const& strategy)
+    {
+
+        typedef detail::overlay::turn_info<PointOut> turn_info;
+        std::vector<turn_info> turns;
+
+        detail::get_turns::no_interrupt_policy policy;
+        geometry::get_turns
+            <
+                false, false, detail::overlay::assign_null_policy
+            >(geometry1, geometry2, turns, policy);
+        for (typename std::vector<turn_info>::const_iterator it
+            = turns.begin(); it != turns.end(); ++it)
+        {
+            *out++ = it->point;
+        }
+
+        return out;
+    }
+};
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2, typename GeometryTag3,
+    bool Areal1, bool Areal2, bool ArealOut,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type OverlayType,
+    typename Strategy
+>
+struct intersection_insert_reversed
+{
+    static inline OutputIterator apply(Geometry1 const& g1,
+                Geometry2 const& g2, OutputIterator out,
+                Strategy const& strategy)
+    {
+        return intersection_insert
+            <
+                GeometryTag2, GeometryTag1, GeometryTag3,
+                Areal2, Areal1, ArealOut,
+                Geometry2, Geometry1,
+                Reverse2, Reverse1, ReverseOut,
+                OutputIterator, GeometryOut,
+                OverlayType,
+                Strategy
+            >::apply(g2, g1, out, strategy);
+    }
+};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace intersection
+{
+
+
+template
+<
+    typename GeometryOut,
+    bool ReverseSecond,
+    overlay_type OverlayType,
+    typename Geometry1, typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out,
+            Strategy const& strategy)
+{
+    return boost::mpl::if_c
+        <
+            geometry::reverse_dispatch<Geometry1, Geometry2>::type::value,
+            geometry::dispatch::intersection_insert_reversed
+            <
+                typename geometry::tag<Geometry1>::type,
+                typename geometry::tag<Geometry2>::type,
+                typename geometry::tag<GeometryOut>::type,
+                geometry::is_areal<Geometry1>::value,
+                geometry::is_areal<Geometry2>::value,
+                geometry::is_areal<GeometryOut>::value,
+                Geometry1, Geometry2,
+                overlay::do_reverse<geometry::point_order<Geometry1>::value>::value,
+                overlay::do_reverse<geometry::point_order<Geometry2>::value, ReverseSecond>::value,
+                overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+                OutputIterator, GeometryOut,
+                OverlayType,
+                Strategy
+            >,
+            geometry::dispatch::intersection_insert
+            <
+                typename geometry::tag<Geometry1>::type,
+                typename geometry::tag<Geometry2>::type,
+                typename geometry::tag<GeometryOut>::type,
+                geometry::is_areal<Geometry1>::value,
+                geometry::is_areal<Geometry2>::value,
+                geometry::is_areal<GeometryOut>::value,
+                Geometry1, Geometry2,
+                geometry::detail::overlay::do_reverse<geometry::point_order<Geometry1>::value>::value,
+                geometry::detail::overlay::do_reverse<geometry::point_order<Geometry2>::value, ReverseSecond>::value,
+                geometry::detail::overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+                OutputIterator, GeometryOut,
+                OverlayType,
+                Strategy
+            >
+        >::type::apply(geometry1, geometry2, out, strategy);
+}
+
+
+/*!
+\brief \brief_calc2{intersection} \brief_strategy
+\ingroup intersection
+\details \details_calc2{intersection_insert, spatial set theoretic intersection}
+    \brief_strategy. \details_insert{intersection}
+\tparam GeometryOut \tparam_geometry{\p_l_or_c}
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator \tparam_out{\p_l_or_c}
+\tparam Strategy \tparam_strategy_overlay
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{intersection}
+\param strategy \param_strategy{intersection}
+\return \return_out
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/intersection.qbk]}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator intersection_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out,
+            Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    return detail::intersection::insert
+        <
+            GeometryOut, false, overlay_intersection
+        >(geometry1, geometry2, out, strategy);
+}
+
+
+/*!
+\brief \brief_calc2{intersection}
+\ingroup intersection
+\details \details_calc2{intersection_insert, spatial set theoretic intersection}.
+    \details_insert{intersection}
+\tparam GeometryOut \tparam_geometry{\p_l_or_c}
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator \tparam_out{\p_l_or_c}
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{intersection}
+\return \return_out
+
+\qbk{[include reference/algorithms/intersection.qbk]}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator
+>
+inline OutputIterator intersection_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef strategy_intersection
+        <
+            typename cs_tag<GeometryOut>::type,
+            Geometry1,
+            Geometry2,
+            typename geometry::point_type<GeometryOut>::type
+        > strategy;
+
+    return intersection_insert<GeometryOut>(geometry1, geometry2, out,
+                strategy());
+}
+
+}} // namespace detail::intersection
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_INTERSECTION_INSERT_HPP

test/external/boost/geometry/algorithms/detail/overlay/overlay.hpp

@@ -0,0 +1,300 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_OVERLAY_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_OVERLAY_HPP
+
+
+#include <deque>
+#include <map>
+
+#include <boost/range.hpp>
+#include <boost/mpl/assert.hpp>
+
+
+#include <boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp>
+#include <boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp>
+#include <boost/geometry/algorithms/detail/overlay/enrichment_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+#include <boost/geometry/algorithms/detail/overlay/overlay_type.hpp>
+#include <boost/geometry/algorithms/detail/overlay/traverse.hpp>
+#include <boost/geometry/algorithms/detail/overlay/traversal_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+
+
+#include <boost/geometry/algorithms/num_points.hpp>
+#include <boost/geometry/algorithms/reverse.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/add_rings.hpp>
+#include <boost/geometry/algorithms/detail/overlay/assign_parents.hpp>
+#include <boost/geometry/algorithms/detail/overlay/ring_properties.hpp>
+#include <boost/geometry/algorithms/detail/overlay/select_rings.hpp>
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_ASSEMBLE
+#  include <boost/geometry/util/write_dsv.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+// Skip for assemble process
+template <typename TurnInfo>
+inline bool skip(TurnInfo const& turn_info)
+{
+    return (turn_info.discarded || turn_info.both(operation_union))
+        && ! turn_info.any_blocked()
+        && ! turn_info.both(operation_intersection)
+        ;
+}
+
+
+template <typename TurnPoints, typename Map>
+inline void map_turns(Map& map, TurnPoints const& turn_points)
+{
+    typedef typename boost::range_value<TurnPoints>::type turn_point_type;
+    typedef typename turn_point_type::container_type container_type;
+
+    int index = 0;
+    for (typename boost::range_iterator<TurnPoints const>::type
+            it = boost::begin(turn_points);
+         it != boost::end(turn_points);
+         ++it, ++index)
+    {
+        if (! skip(*it))
+        {
+            int op_index = 0;
+            for (typename boost::range_iterator<container_type const>::type
+                    op_it = boost::begin(it->operations);
+                op_it != boost::end(it->operations);
+                ++op_it, ++op_index)
+            {
+                ring_identifier ring_id
+                    (
+                        op_it->seg_id.source_index,
+                        op_it->seg_id.multi_index,
+                        op_it->seg_id.ring_index
+                    );
+                map[ring_id]++;
+            }
+        }
+    }
+}
+
+
+template
+<
+    typename GeometryOut, overlay_type Direction, bool ReverseOut,
+    typename Geometry1, typename Geometry2,
+    typename OutputIterator
+>
+inline OutputIterator return_if_one_input_is_empty(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out)
+{
+    typedef std::deque
+        <
+            typename geometry::ring_type<GeometryOut>::type
+        > ring_container_type;
+
+    typedef ring_properties<typename geometry::point_type<Geometry1>::type> properties;
+
+    // Union: return either of them
+    // Intersection: return nothing
+    // Difference: return first of them
+    if (Direction == overlay_intersection
+        || (Direction == overlay_difference
+            && geometry::num_points(geometry1) == 0))
+    {
+        return out;
+    }
+
+    std::map<ring_identifier, int> empty;
+    std::map<ring_identifier, properties> all_of_one_of_them;
+
+    select_rings<Direction>(geometry1, geometry2, empty, all_of_one_of_them, false);
+    ring_container_type rings;
+    assign_parents(geometry1, geometry2, rings, all_of_one_of_them);
+    return add_rings<GeometryOut>(all_of_one_of_them, geometry1, geometry2, rings, out);
+}
+
+
+template
+<
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    overlay_type Direction,
+    typename Strategy
+>
+struct overlay
+{
+    static inline OutputIterator apply(
+                Geometry1 const& geometry1, Geometry2 const& geometry2,
+                OutputIterator out,
+                Strategy const& )
+    {
+        if (geometry::num_points(geometry1) == 0 && geometry::num_points(geometry2) == 0)
+        {
+            return out;
+        }
+
+        typedef typename geometry::point_type<GeometryOut>::type point_type;
+        typedef detail::overlay::traversal_turn_info<point_type> turn_info;
+        typedef std::deque<turn_info> container_type;
+
+        typedef std::deque
+            <
+                typename geometry::ring_type<GeometryOut>::type
+            > ring_container_type;
+
+        if (geometry::num_points(geometry1) == 0
+            || geometry::num_points(geometry2) == 0)
+        {
+            return return_if_one_input_is_empty
+                <
+                    GeometryOut, Direction, ReverseOut
+                >(geometry1, geometry2, out);
+        }
+        
+        container_type turn_points;
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        boost::timer timer;
+#endif
+
+#ifdef BOOST_GEOMETRY_DEBUG_ASSEMBLE
+std::cout << "get turns" << std::endl;
+#endif
+        detail::get_turns::no_interrupt_policy policy;
+        geometry::get_turns
+            <
+                Reverse1, Reverse2,
+                detail::overlay::calculate_distance_policy
+            >(geometry1, geometry2, turn_points, policy);
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "get_turns: " << timer.elapsed() << std::endl;
+#endif
+
+#ifdef BOOST_GEOMETRY_DEBUG_ASSEMBLE
+std::cout << "enrich" << std::endl;
+#endif
+        typename Strategy::side_strategy_type side_strategy;
+        geometry::enrich_intersection_points<Reverse1, Reverse2>(turn_points,
+                Direction == overlay_union
+                    ? geometry::detail::overlay::operation_union
+                    : geometry::detail::overlay::operation_intersection,
+                    geometry1, geometry2,
+                    side_strategy);
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "enrich_intersection_points: " << timer.elapsed() << std::endl;
+#endif
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_ASSEMBLE
+std::cout << "traverse" << std::endl;
+#endif
+        // Traverse through intersection/turn points and create rings of them.
+        // Note that these rings are always in clockwise order, even in CCW polygons,
+        // and are marked as "to be reversed" below
+        ring_container_type rings;
+        traverse<Reverse1, Reverse2, Geometry1, Geometry2>::apply
+                (
+                    geometry1, geometry2,
+                    Direction == overlay_union
+                        ? geometry::detail::overlay::operation_union
+                        : geometry::detail::overlay::operation_intersection,
+                    turn_points, rings
+                );
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "traverse: " << timer.elapsed() << std::endl;
+#endif
+
+
+        std::map<ring_identifier, int> map;
+        map_turns(map, turn_points);
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "map_turns: " << timer.elapsed() << std::endl;
+#endif
+
+        typedef ring_properties<typename geometry::point_type<Geometry1>::type> properties;
+
+        std::map<ring_identifier, properties> selected;
+        select_rings<Direction>(geometry1, geometry2, map, selected, ! turn_points.empty());
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "select_rings: " << timer.elapsed() << std::endl;
+#endif
+
+
+        // Add rings created during traversal
+        {
+            ring_identifier id(2, 0, -1);
+            for (typename boost::range_iterator<ring_container_type>::type
+                    it = boost::begin(rings);
+                    it != boost::end(rings);
+                    ++it)
+            {
+                selected[id] = properties(*it, true);
+                selected[id].reversed = ReverseOut;
+                id.multi_index++;
+            }
+        }
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "add traversal rings: " << timer.elapsed() << std::endl;
+#endif
+
+
+        assign_parents(geometry1, geometry2, rings, selected);
+
+#ifdef BOOST_GEOMETRY_TIME_OVERLAY
+        std::cout << "assign_parents: " << timer.elapsed() << std::endl;
+#endif
+
+        return add_rings<GeometryOut>(selected, geometry1, geometry2, rings, out);
+    }
+};
+
+
+// Metafunction helper for intersection and union
+template <order_selector Selector, bool Reverse = false>
+struct do_reverse {};
+
+template <>
+struct do_reverse<clockwise, false> : boost::false_type {};
+
+template <>
+struct do_reverse<clockwise, true> : boost::true_type {};
+
+template <>
+struct do_reverse<counterclockwise, false> : boost::true_type {};
+
+template <>
+struct do_reverse<counterclockwise, true> : boost::false_type {};
+
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_OVERLAY_HPP

test/external/boost/geometry/algorithms/detail/overlay/overlay_type.hpp

@@ -0,0 +1,29 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_OVERLAY_TYPE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_OVERLAY_TYPE_HPP
+
+
+
+namespace boost { namespace geometry
+{
+
+enum overlay_type
+{
+    overlay_union,
+    overlay_intersection,
+    overlay_difference,
+    overlay_dissolve
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_OVERLAY_TYPE_HPP

test/external/boost/geometry/algorithms/detail/overlay/ring_properties.hpp

@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_RING_PROPERTIES_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_RING_PROPERTIES_HPP
+
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+#include <boost/geometry/algorithms/detail/point_on_border.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template <typename Point>
+struct ring_properties
+{
+    typedef Point point_type;
+    typedef typename default_area_result<Point>::type area_type;
+
+    // Filled by "select_rings"
+    Point point;
+    area_type area;
+
+    // Filled by "update_selection_map"
+    int within_code;
+    bool reversed;
+
+    // Filled/used by "assign_rings"
+    bool discarded;
+    ring_identifier parent;
+    area_type parent_area;
+    std::vector<ring_identifier> children;
+
+    inline ring_properties()
+        : area(area_type())
+        , within_code(-1)
+        , reversed(false)
+        , discarded(false)
+        , parent_area(-1)
+    {}
+
+    template <typename RingOrBox>
+    inline ring_properties(RingOrBox const& ring_or_box, bool midpoint)
+        : within_code(-1)
+        , reversed(false)
+        , discarded(false)
+        , parent_area(-1)
+    {
+        this->area = geometry::area(ring_or_box);
+        geometry::point_on_border(this->point, ring_or_box, midpoint);
+    }
+
+    inline area_type get_area() const
+    {
+        return reversed ? -area : area;
+    }
+};
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_RING_PROPERTIES_HPP

test/external/boost/geometry/algorithms/detail/overlay/segment_identifier.hpp

@@ -0,0 +1,91 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_SEGMENT_IDENTIFIER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SEGMENT_IDENTIFIER_HPP
+
+
+#if defined(BOOST_GEOMETRY_DEBUG_OVERLAY)
+#  define BOOST_GEOMETRY_DEBUG_SEGMENT_IDENTIFIER
+#endif
+
+
+#include <vector>
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+// Internal struct to uniquely identify a segment
+// on a linestring,ring
+// or polygon (needs ring_index)
+// or multi-geometry (needs multi_index)
+struct segment_identifier
+{
+    inline segment_identifier()
+        : source_index(-1)
+        , multi_index(-1)
+        , ring_index(-1)
+        , segment_index(-1)
+    {}
+
+    inline segment_identifier(int src, int mul, int rin, int seg)
+        : source_index(src)
+        , multi_index(mul)
+        , ring_index(rin)
+        , segment_index(seg)
+    {}
+
+    inline bool operator<(segment_identifier const& other) const
+    {
+        return source_index != other.source_index ? source_index < other.source_index
+            : multi_index !=other.multi_index ? multi_index < other.multi_index
+            : ring_index != other.ring_index ? ring_index < other.ring_index
+            : segment_index < other.segment_index
+            ;
+    }
+
+    inline bool operator==(segment_identifier const& other) const
+    {
+        return source_index == other.source_index
+            && segment_index == other.segment_index
+            && ring_index == other.ring_index
+            && multi_index == other.multi_index
+            ;
+    }
+
+#if defined(BOOST_GEOMETRY_DEBUG_SEGMENT_IDENTIFIER)
+    friend std::ostream& operator<<(std::ostream &os, segment_identifier const& seg_id)
+    {
+        std::cout
+            << "s:" << seg_id.source_index
+            << ", v:" << seg_id.segment_index // ~vertex
+            ;
+        if (seg_id.ring_index >= 0) std::cout << ", r:" << seg_id.ring_index;
+        if (seg_id.multi_index >= 0) std::cout << ", m:" << seg_id.multi_index;
+        return os;
+    }
+#endif
+
+    int source_index;
+    int multi_index;
+    int ring_index;
+    int segment_index;
+};
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SEGMENT_IDENTIFIER_HPP

test/external/boost/geometry/algorithms/detail/overlay/select_rings.hpp

@@ -0,0 +1,295 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_SELECT_RINGS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SELECT_RINGS_HPP
+
+#include <map>
+
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+#include <boost/geometry/algorithms/detail/point_on_border.hpp>
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+#include <boost/geometry/algorithms/detail/overlay/ring_properties.hpp>
+#include <boost/geometry/algorithms/detail/overlay/overlay_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+namespace dispatch
+{
+
+    template <typename Tag, typename Geometry>
+    struct select_rings
+    {};
+
+    template <typename Box>
+    struct select_rings<box_tag, Box>
+    {
+        template <typename Geometry, typename Map>
+        static inline void apply(Box const& box, Geometry const& geometry, 
+                ring_identifier const& id, Map& map, bool midpoint)
+        {
+            map[id] = typename Map::mapped_type(box, midpoint);
+        }
+
+        template <typename Map>
+        static inline void apply(Box const& box, 
+                ring_identifier const& id, Map& map, bool midpoint)
+        {
+            map[id] = typename Map::mapped_type(box, midpoint);
+        }
+    };
+
+    template <typename Ring>
+    struct select_rings<ring_tag, Ring>
+    {
+        template <typename Geometry, typename Map>
+        static inline void apply(Ring const& ring, Geometry const& geometry,
+                    ring_identifier const& id, Map& map, bool midpoint)
+        {
+            if (boost::size(ring) > 0)
+            {
+                map[id] = typename Map::mapped_type(ring, midpoint);
+            }
+        }
+
+        template <typename Map>
+        static inline void apply(Ring const& ring, 
+                    ring_identifier const& id, Map& map, bool midpoint)
+        {
+            if (boost::size(ring) > 0)
+            {
+                map[id] = typename Map::mapped_type(ring, midpoint);
+            }
+        }
+    };
+
+
+    template <typename Polygon>
+    struct select_rings<polygon_tag, Polygon>
+    {
+        template <typename Geometry, typename Map>
+        static inline void apply(Polygon const& polygon, Geometry const& geometry,
+                    ring_identifier id, Map& map, bool midpoint)
+        {
+            typedef typename geometry::ring_type<Polygon>::type ring_type;
+            typedef select_rings<ring_tag, ring_type> per_ring;
+
+            per_ring::apply(exterior_ring(polygon), geometry, id, map, midpoint);
+
+            typename interior_return_type<Polygon const>::type rings
+                        = interior_rings(polygon);
+            for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+            {
+                id.ring_index++;
+                per_ring::apply(*it, geometry, id, map, midpoint);
+            }
+        }
+
+        template <typename Map>
+        static inline void apply(Polygon const& polygon,
+                ring_identifier id, Map& map, bool midpoint)
+        {
+            typedef typename geometry::ring_type<Polygon>::type ring_type;
+            typedef select_rings<ring_tag, ring_type> per_ring;
+
+            per_ring::apply(exterior_ring(polygon), id, map, midpoint);
+
+            typename interior_return_type<Polygon const>::type rings
+                        = interior_rings(polygon);
+            for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+            {
+                id.ring_index++;
+                per_ring::apply(*it, id, map, midpoint);
+            }
+        }
+    };
+}
+
+
+template<overlay_type OverlayType>
+struct decide
+{};
+
+template<>
+struct decide<overlay_union>
+{
+    template <typename Code>
+    static bool include(ring_identifier const& id, Code const& code)
+    {
+        return code.within_code * -1 == 1;
+    }
+
+    template <typename Code>
+    static bool reversed(ring_identifier const& , Code const& )
+    {
+        return false;
+    }
+};
+
+template<>
+struct decide<overlay_difference>
+{
+    template <typename Code>
+    static bool include(ring_identifier const& id, Code const& code)
+    {
+        bool is_first = id.source_index == 0;
+        return code.within_code * -1 * (is_first ? 1 : -1) == 1;
+    }
+
+    template <typename Code>
+    static bool reversed(ring_identifier const& id, Code const& code)
+    {
+        return include(id, code) && id.source_index == 1;
+    }
+};
+
+template<>
+struct decide<overlay_intersection>
+{
+    template <typename Code>
+    static bool include(ring_identifier const& id, Code const& code)
+    {
+        return code.within_code * 1 == 1;
+    }
+
+    template <typename Code>
+    static bool reversed(ring_identifier const& , Code const& )
+    {
+        return false;
+    }
+};
+
+
+template
+<
+    overlay_type OverlayType,
+    typename Geometry1, typename Geometry2,
+    typename IntersectionMap, typename SelectionMap
+>
+inline void update_selection_map(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            IntersectionMap const& intersection_map,
+            SelectionMap const& map_with_all, SelectionMap& selection_map)
+{
+    selection_map.clear();
+
+    for (typename SelectionMap::const_iterator it = boost::begin(map_with_all);
+        it != boost::end(map_with_all);
+        ++it)
+    {
+        /*
+        int union_code = it->second.within_code * -1;
+        bool is_first = it->first.source_index == 0;
+        std::cout << it->first << " " << it->second.area
+            << ": " << it->second.within_code
+            << " union: " << union_code
+            << " intersection: " << (it->second.within_code * 1)
+            << " G1-G2: " << (union_code * (is_first ? 1 : -1))
+            << " G2-G1: " << (union_code * (is_first ? -1 : 1))
+            << " -> " << (decide<OverlayType>::include(it->first, it->second) ? "INC" : "")
+            << decide<OverlayType>::reverse(it->first, it->second)
+            << std::endl;
+        */
+
+        bool found = intersection_map.find(it->first) != intersection_map.end();
+        if (! found)
+        {
+            ring_identifier const id = it->first;
+            typename SelectionMap::mapped_type properties = it->second; // Copy by value
+
+            // Calculate the "within code" (previously this was done earlier but is
+            // must efficienter here - it can be even more efficient doing it all at once,
+            // using partition, TODO)
+            // So though this is less elegant than before, it avoids many unused point-in-poly calculations
+            switch(id.source_index)
+            {
+                case 0 :
+                    properties.within_code
+                        = geometry::within(properties.point, geometry2) ? 1 : -1;
+                    break;
+                case 1 :
+                    properties.within_code
+                        = geometry::within(properties.point, geometry1) ? 1 : -1;
+                    break;
+            }
+
+            if (decide<OverlayType>::include(id, properties))
+            {
+                properties.reversed = decide<OverlayType>::reversed(id, properties);
+                selection_map[id] = properties;
+            }
+        }
+    }
+}
+
+
+/*!
+\brief The function select_rings select rings based on the overlay-type (union,intersection)
+*/
+template
+<
+    overlay_type OverlayType,
+    typename Geometry1, typename Geometry2,
+    typename IntersectionMap, typename SelectionMap
+>
+inline void select_rings(Geometry1 const& geometry1, Geometry2 const& geometry2,
+            IntersectionMap const& intersection_map, 
+            SelectionMap& selection_map, bool midpoint)
+{
+    typedef typename geometry::tag<Geometry1>::type tag1;
+    typedef typename geometry::tag<Geometry2>::type tag2;
+
+    SelectionMap map_with_all;
+    dispatch::select_rings<tag1, Geometry1>::apply(geometry1, geometry2,
+                ring_identifier(0, -1, -1), map_with_all, midpoint);
+    dispatch::select_rings<tag2, Geometry2>::apply(geometry2, geometry1,
+                ring_identifier(1, -1, -1), map_with_all, midpoint);
+
+    update_selection_map<OverlayType>(geometry1, geometry2, intersection_map,
+                map_with_all, selection_map);
+}
+
+template
+<
+    overlay_type OverlayType,
+    typename Geometry,
+    typename IntersectionMap, typename SelectionMap
+>
+inline void select_rings(Geometry const& geometry,
+            IntersectionMap const& intersection_map, 
+            SelectionMap& selection_map, bool midpoint)
+{
+    typedef typename geometry::tag<Geometry>::type tag;
+
+    SelectionMap map_with_all;
+    dispatch::select_rings<tag, Geometry>::apply(geometry, 
+                ring_identifier(0, -1, -1), map_with_all, midpoint);
+
+    update_selection_map<OverlayType>(geometry, geometry, intersection_map, 
+                map_with_all, selection_map);
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SELECT_RINGS_HPP

test/external/boost/geometry/algorithms/detail/overlay/self_turn_points.hpp

@@ -0,0 +1,291 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+#include <boost/geometry/algorithms/detail/partition.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+
+#include <boost/geometry/geometries/box.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace self_get_turn_points
+{
+
+class self_ip_exception : public geometry::exception {};
+
+template
+<
+    typename Geometry,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct self_section_visitor
+{
+    Geometry const& m_geometry;
+    Turns& m_turns;
+    InterruptPolicy& m_interrupt_policy;
+
+    inline self_section_visitor(Geometry const& g,
+            Turns& turns, InterruptPolicy& ip)
+        : m_geometry(g)
+        , m_turns(turns)
+        , m_interrupt_policy(ip)
+    {}
+
+    template <typename Section>
+    inline bool apply(Section const& sec1, Section const& sec2)
+    {
+        if (! detail::disjoint::disjoint_box_box(sec1.bounding_box, sec2.bounding_box)
+                && ! sec1.duplicate
+                && ! sec2.duplicate)
+        {
+            detail::get_turns::get_turns_in_sections
+                    <
+                        Geometry, Geometry,
+                        false, false,
+                        Section, Section,
+                        Turns, TurnPolicy,
+                        InterruptPolicy
+                    >::apply(
+                            0, m_geometry, sec1,
+                            0, m_geometry, sec2,
+                            m_turns, m_interrupt_policy);
+        }
+        if (m_interrupt_policy.has_intersections)
+        {
+            // TODO: we should give partition an interrupt policy.
+            // Now we throw, and catch below, to stop the partition loop.
+            throw self_ip_exception();
+        }
+        return true;
+    }
+
+};
+
+
+
+template
+<
+    typename Geometry,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct get_turns
+{
+    static inline bool apply(
+            Geometry const& geometry,
+            Turns& turns,
+            InterruptPolicy& interrupt_policy)
+    {
+        typedef model::box
+            <
+                typename geometry::point_type<Geometry>::type
+            > box_type;
+        typedef typename geometry::sections
+            <
+                box_type, 1
+            > sections_type;
+
+        sections_type sec;
+        geometry::sectionalize<false>(geometry, sec);
+
+        self_section_visitor
+            <
+                Geometry,
+                Turns, TurnPolicy, InterruptPolicy
+            > visitor(geometry, turns, interrupt_policy);
+
+        try
+        {
+            geometry::partition
+                <
+                    box_type, 
+                    detail::get_turns::get_section_box, 
+                    detail::get_turns::ovelaps_section_box
+                >::apply(sec, visitor);
+        }
+        catch(self_ip_exception const& )
+        {
+            return false;
+        }
+
+        return true;
+    }
+};
+
+
+}} // namespace detail::self_get_turn_points
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename GeometryTag,
+    typename Geometry,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct self_get_turn_points
+{
+};
+
+
+template
+<
+    typename Ring,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct self_get_turn_points
+    <
+        ring_tag, Ring,
+        Turns,
+        TurnPolicy,
+        InterruptPolicy
+    >
+    : detail::self_get_turn_points::get_turns
+        <
+            Ring,
+            Turns,
+            TurnPolicy,
+            InterruptPolicy
+        >
+{};
+
+
+template
+<
+    typename Box,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct self_get_turn_points
+    <
+        box_tag, Box,
+        Turns,
+        TurnPolicy,
+        InterruptPolicy
+    >
+{
+    static inline bool apply(
+            Box const& ,
+            Turns& ,
+            InterruptPolicy& )
+    {
+        return true;
+    }
+};
+
+
+template
+<
+    typename Polygon,
+    typename Turns,
+    typename TurnPolicy,
+    typename InterruptPolicy
+>
+struct self_get_turn_points
+    <
+        polygon_tag, Polygon,
+        Turns,
+        TurnPolicy,
+        InterruptPolicy
+    >
+    : detail::self_get_turn_points::get_turns
+        <
+            Polygon,
+            Turns,
+            TurnPolicy,
+            InterruptPolicy
+        >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+    \brief Calculate self intersections of a geometry
+    \ingroup overlay
+    \tparam Geometry geometry type
+    \tparam Turns type of intersection container
+                (e.g. vector of "intersection/turn point"'s)
+    \param geometry geometry
+    \param turns container which will contain intersection points
+    \param interrupt_policy policy determining if process is stopped
+        when intersection is found
+ */
+template
+<
+    typename AssignPolicy,
+    typename Geometry,
+    typename Turns,
+    typename InterruptPolicy
+>
+inline void self_turns(Geometry const& geometry,
+            Turns& turns, InterruptPolicy& interrupt_policy)
+{
+    concept::check<Geometry const>();
+
+    typedef typename strategy_intersection
+        <
+            typename cs_tag<Geometry>::type,
+            Geometry,
+            Geometry,
+            typename boost::range_value<Turns>::type
+        >::segment_intersection_strategy_type strategy_type;
+
+    typedef detail::overlay::get_turn_info
+                        <
+                            typename point_type<Geometry>::type,
+                            typename point_type<Geometry>::type,
+                            typename boost::range_value<Turns>::type,
+                            detail::overlay::assign_null_policy
+                        > TurnPolicy;
+
+    dispatch::self_get_turn_points
+            <
+                typename tag<Geometry>::type,
+                Geometry,
+                Turns,
+                TurnPolicy,
+                InterruptPolicy
+            >::apply(geometry, turns, interrupt_policy);
+}
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP

test/external/boost/geometry/algorithms/detail/overlay/stream_info.hpp

@@ -0,0 +1,75 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_STREAM_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_STREAM_INFO_HPP
+
+
+#include <string>
+
+#include <boost/array.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+    static inline std::string dir(int d)
+    {
+        return d == 0 ? "-" : (d == 1 ? "L" : d == -1 ? "R" : "#");
+    }
+    static inline std::string how_str(int h)
+    {
+        return h == 0 ? "-" : (h == 1 ? "A" : "D");
+    }
+
+    template <typename P>
+    std::ostream& operator<<(std::ostream &os, turn_info<P> const& info)
+    {
+        typename geometry::coordinate_type<P>::type d = info.distance;
+        os  << "\t"
+            << " src " << info.seg_id.source_index
+            << " seg " << info.seg_id.segment_index
+            << " (// " << info.other_id.source_index
+                << "." << info.other_id.segment_index << ")"
+            << " how " << info.how
+                << "[" << how_str(info.arrival)
+                << " " << dir(info.direction)
+                << (info.opposite ? " o" : "")
+                << "]"
+            << " sd "
+                << dir(info.sides.get<0,0>())
+                << dir(info.sides.get<0,1>())
+                << dir(info.sides.get<1,0>())
+                << dir(info.sides.get<1,1>())
+            << " nxt seg " << info.travels_to_vertex_index
+            << " , ip " << info.travels_to_ip_index
+            << " , or " << info.next_ip_index
+            << " dst " << double(d)
+            << info.visit_state;
+        if (info.flagged)
+        {
+            os << " FLAGGED";
+        }
+        return os;
+    }
+
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_STREAM_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/traversal_info.hpp

@@ -0,0 +1,47 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_TRAVERSAL_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TRAVERSAL_INFO_HPP
+
+
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/enrichment_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/visit_info.hpp>
+#include <boost/geometry/algorithms/detail/overlay/segment_identifier.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+template <typename P>
+struct traversal_turn_operation : public turn_operation
+{
+    enrichment_info<P> enriched;
+    visit_info visited;
+};
+
+template <typename P>
+struct traversal_turn_info : public turn_info<P, traversal_turn_operation<P> >
+{};
+
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TRAVERSAL_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/traverse.hpp

@@ -0,0 +1,394 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_TRAVERSE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TRAVERSE_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp>
+#include <boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp>
+#include <boost/geometry/algorithms/detail/overlay/copy_segments.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+#if defined(BOOST_GEOMETRY_DEBUG_INTERSECTION) || defined(BOOST_GEOMETRY_OVERLAY_REPORT_WKT)
+#  include <string>
+#  include <boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp>
+#  include <boost/geometry/domains/gis/io/wkt/wkt.hpp>
+#endif
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template <typename Turn, typename Operation>
+inline void debug_traverse(Turn const& turn, Operation op, 
+                std::string const& header)
+{
+#ifdef BOOST_GEOMETRY_DEBUG_TRAVERSE
+    std::cout << header
+        << " at " << op.seg_id
+        << " op: " << operation_char(op.operation)
+        << " vis: " << visited_char(op.visited)
+        << " of:  " << operation_char(turn.operations[0].operation)
+        << operation_char(turn.operations[1].operation)
+        << std::endl;
+
+    if (boost::contains(header, "Finished"))
+    {
+        std::cout << std::endl;
+    }
+#endif
+}
+
+
+template <typename Info, typename Turn>
+inline void set_visited_for_continue(Info& info, Turn const& turn)
+{
+    // On "continue", set "visited" for ALL directions
+    if (turn.operation == detail::overlay::operation_continue)
+    {
+        for (typename boost::range_iterator
+            <
+                typename Info::container_type
+            >::type it = boost::begin(info.operations);
+            it != boost::end(info.operations);
+            ++it)
+        {
+            if (it->visited.none())
+            {
+                it->visited.set_visited();
+            }
+        }
+    }
+}
+
+
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename GeometryOut,
+    typename G1,
+    typename G2,
+    typename Turns,
+    typename IntersectionInfo
+>
+inline bool assign_next_ip(G1 const& g1, G2 const& g2,
+            Turns& turns,
+            typename boost::range_iterator<Turns>::type& ip,
+            GeometryOut& current_output,
+            IntersectionInfo& info,
+            segment_identifier& seg_id)
+{
+    info.visited.set_visited();
+    set_visited_for_continue(*ip, info);
+
+    // If there is no next IP on this segment
+    if (info.enriched.next_ip_index < 0)
+    {
+        if (info.enriched.travels_to_vertex_index < 0 
+            || info.enriched.travels_to_ip_index < 0)
+        {
+            return false;
+        }
+
+        BOOST_ASSERT(info.enriched.travels_to_vertex_index >= 0);
+        BOOST_ASSERT(info.enriched.travels_to_ip_index >= 0);
+
+        if (info.seg_id.source_index == 0)
+        {
+            geometry::copy_segments<Reverse1>(g1, info.seg_id,
+                    info.enriched.travels_to_vertex_index,
+                    current_output);
+        }
+        else
+        {
+            geometry::copy_segments<Reverse2>(g2, info.seg_id,
+                    info.enriched.travels_to_vertex_index,
+                    current_output);
+        }
+        seg_id = info.seg_id;
+        ip = boost::begin(turns) + info.enriched.travels_to_ip_index;
+    }
+    else
+    {
+        ip = boost::begin(turns) + info.enriched.next_ip_index;
+        seg_id = info.seg_id;
+    }
+
+    detail::overlay::append_no_duplicates(current_output, ip->point);
+    return true;
+}
+
+
+inline bool select_source(operation_type operation, int source1, int source2)
+{
+    return (operation == operation_intersection && source1 != source2)
+        || (operation == operation_union && source1 == source2)
+        ;
+}
+
+
+template
+<
+    typename Turn,
+    typename Iterator
+>
+inline bool select_next_ip(operation_type operation,
+            Turn& turn,
+            segment_identifier const& seg_id,
+            Iterator& selected)
+{
+    if (turn.discarded)
+    {
+        return false;
+    }
+    bool has_tp = false;
+    selected = boost::end(turn.operations);
+    for (Iterator it = boost::begin(turn.operations);
+        it != boost::end(turn.operations);
+        ++it)
+    {
+        if (it->visited.started())
+        {
+            selected = it;
+            //std::cout << " RETURN";
+            return true;
+        }
+
+        // In some cases there are two alternatives.
+        // For "ii", take the other one (alternate)
+        //           UNLESS the other one is already visited
+        // For "uu", take the same one (see above);
+        // For "cc", take either one, but if there is a starting one,
+        //           take that one.
+        if (   (it->operation == operation_continue
+                && (! has_tp || it->visited.started()
+                    )
+                )
+            || (it->operation == operation
+                && ! it->visited.finished()
+                && (! has_tp
+                    || select_source(operation,
+                            it->seg_id.source_index, seg_id.source_index)
+                    )
+                )
+            )
+        {
+            selected = it;
+            debug_traverse(turn, *it, " Candidate");
+            has_tp = true;
+        }
+    }
+
+    if (has_tp)
+    {
+       debug_traverse(turn, *selected, "  Accepted");
+    }
+
+
+    return has_tp;
+}
+
+
+
+/*!
+    \brief Traverses through intersection points / geometries
+    \ingroup overlay
+ */
+template
+<
+    bool Reverse1, bool Reverse2,
+    typename Geometry1,
+    typename Geometry2,
+    typename Backtrack = backtrack_check_self_intersections<Geometry1, Geometry2>
+>
+class traverse
+{
+public :
+    template <typename Turns, typename Rings>
+    static inline void apply(Geometry1 const& geometry1,
+                Geometry2 const& geometry2,
+                detail::overlay::operation_type operation,
+                Turns& turns, Rings& rings)
+    {
+        typedef typename boost::range_iterator<Turns>::type turn_iterator;
+        typedef typename boost::range_value<Turns>::type turn_type;
+        typedef typename boost::range_iterator
+            <
+                typename turn_type::container_type
+            >::type turn_operation_iterator_type;
+
+        std::size_t size_at_start = boost::size(rings);
+
+        typename Backtrack::state_type state;
+        do
+        {
+            state.reset();
+
+            // Iterate through all unvisited points
+            for (turn_iterator it = boost::begin(turns);
+                state.good() && it != boost::end(turns);
+                ++it)
+            {
+                // Skip discarded ones
+                if (! (it->is_discarded() || it->blocked()))
+                {
+                    for (turn_operation_iterator_type iit = boost::begin(it->operations);
+                        state.good() && iit != boost::end(it->operations);
+                        ++iit)
+                    {
+                        if (iit->visited.none()
+                            && ! iit->visited.rejected()
+                            && (iit->operation == operation
+                                || iit->operation == detail::overlay::operation_continue)
+                            )
+                        {
+                            set_visited_for_continue(*it, *iit);
+
+                            typename boost::range_value<Rings>::type current_output;
+                            detail::overlay::append_no_duplicates(current_output, 
+                                        it->point, true);
+
+                            turn_iterator current = it;
+                            turn_operation_iterator_type current_iit = iit;
+                            segment_identifier current_seg_id;
+
+                            if (! detail::overlay::assign_next_ip<Reverse1, Reverse2>(
+                                        geometry1, geometry2,
+                                        turns,
+                                        current, current_output,
+                                        *iit, current_seg_id))
+                            {
+                                Backtrack::apply(
+                                    size_at_start, 
+                                    rings, current_output, turns, *current_iit,
+                                    "No next IP",
+                                    geometry1, geometry2, state);
+                            }
+
+                            if (! detail::overlay::select_next_ip(
+                                            operation,
+                                            *current,
+                                            current_seg_id,
+                                            current_iit))
+                            {
+                                Backtrack::apply(
+                                    size_at_start, 
+                                    rings, current_output, turns, *iit,
+                                    "Dead end at start",
+                                    geometry1, geometry2, state);
+                            }
+                            else
+                            {
+
+                                iit->visited.set_started();
+                                detail::overlay::debug_traverse(*it, *iit, "-> Started");
+                                detail::overlay::debug_traverse(*current, *current_iit, "Selected  ");
+
+
+                                unsigned int i = 0;
+
+                                while (current_iit != iit && state.good())
+                                {
+                                    if (current_iit->visited.visited())
+                                    {
+                                        // It visits a visited node again, without passing the start node.
+                                        // This makes it suspicious for endless loops
+                                        Backtrack::apply(
+                                            size_at_start, 
+                                            rings,  current_output, turns, *iit,
+                                            "Visit again",
+                                            geometry1, geometry2, state);
+                                    }
+                                    else
+                                    {
+
+
+                                        // We assume clockwise polygons only, non self-intersecting, closed.
+                                        // However, the input might be different, and checking validity
+                                        // is up to the library user.
+
+                                        // Therefore we make here some sanity checks. If the input
+                                        // violates the assumptions, the output polygon will not be correct
+                                        // but the routine will stop and output the current polygon, and
+                                        // will continue with the next one.
+
+                                        // Below three reasons to stop.
+                                        detail::overlay::assign_next_ip<Reverse1, Reverse2>(
+                                            geometry1, geometry2,
+                                            turns, current, current_output,
+                                            *current_iit, current_seg_id);
+
+                                        if (! detail::overlay::select_next_ip(
+                                                    operation,
+                                                    *current,
+                                                    current_seg_id,
+                                                    current_iit))
+                                        {
+                                            // Should not occur in valid (non-self-intersecting) polygons
+                                            // Should not occur in self-intersecting polygons without spikes
+                                            // Might occur in polygons with spikes
+                                            Backtrack::apply(
+                                                size_at_start, 
+                                                rings,  current_output, turns, *iit,
+                                                "Dead end",
+                                                geometry1, geometry2, state);
+                                        }
+                                        detail::overlay::debug_traverse(*current, *current_iit, "Selected  ");
+
+                                        if (i++ > 2 + 2 * turns.size())
+                                        {
+                                            // Sanity check: there may be never more loops
+                                            // than turn points.
+                                            // Turn points marked as "ii" can be visited twice.
+                                            Backtrack::apply(
+                                                size_at_start, 
+                                                rings,  current_output, turns, *iit,
+                                                "Endless loop",
+                                                geometry1, geometry2, state);
+                                        }
+                                    }
+                                }
+
+                                if (state.good())
+                                {
+                                    iit->visited.set_finished();
+                                    detail::overlay::debug_traverse(*current, *iit, "->Finished");
+                                    rings.push_back(current_output);
+                                }
+                            }
+                        }
+                    }
+                }
+            }
+        } while (! state.good());
+    }
+};
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TRAVERSE_HPP

test/external/boost/geometry/algorithms/detail/overlay/turn_info.hpp

@@ -0,0 +1,142 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_TURN_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TURN_INFO_HPP
+
+
+#include <boost/array.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/segment_identifier.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+enum operation_type
+{
+    operation_none,
+    operation_union,
+    operation_intersection,
+    operation_blocked,
+    operation_continue
+};
+
+
+enum method_type
+{
+    method_none,
+    method_disjoint,
+    method_crosses,
+    method_touch,
+    method_touch_interior,
+    method_collinear,
+    method_equal,
+    method_error
+};
+
+
+/*!
+    \brief Turn operation: operation
+    \details Information necessary for traversal phase (a phase
+        of the overlay process). The information is gathered during the
+        get_turns (segment intersection) phase.
+        The class is to be included in the turn_info class, either direct
+        or a derived or similar class with more (e.g. enrichment) information.
+ */
+struct turn_operation
+{
+    operation_type operation;
+    segment_identifier seg_id;
+    segment_identifier other_id;
+
+    inline turn_operation()
+        : operation(operation_none)
+    {}
+};
+
+
+/*!
+    \brief Turn information: intersection point, method, and turn information
+    \details Information necessary for traversal phase (a phase
+        of the overlay process). The information is gathered during the
+        get_turns (segment intersection) phase.
+    \tparam Point point type of intersection point
+    \tparam Operation gives classes opportunity to add additional info
+    \tparam Container gives classes opportunity to define how operations are stored
+ */
+template
+<
+    typename Point,
+    typename Operation = turn_operation,
+    typename Container = boost::array<Operation, 2>
+>
+struct turn_info
+{
+    typedef Point point_type;
+    typedef Operation turn_operation_type;
+    typedef Container container_type;
+
+    Point point;
+    method_type method;
+    bool discarded;
+
+
+    Container operations;
+
+    inline turn_info()
+        : method(method_none)
+        , discarded(false)
+    {}
+
+    inline bool both(operation_type type) const
+    {
+        return has12(type, type);
+    }
+
+    inline bool combination(operation_type type1, operation_type type2) const
+    {
+        return has12(type1, type2) || has12(type2, type1);
+    }
+
+
+    inline bool is_discarded() const { return discarded; }
+    inline bool blocked() const
+    {
+        return both(operation_blocked);
+    }
+    inline bool any_blocked() const
+    {
+        return this->operations[0].operation == operation_blocked
+            || this->operations[1].operation == operation_blocked;
+    }
+
+
+private :
+    inline bool has12(operation_type type1, operation_type type2) const
+    {
+        return this->operations[0].operation == type1
+            && this->operations[1].operation == type2
+            ;
+    }
+
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_TURN_INFO_HPP

test/external/boost/geometry/algorithms/detail/overlay/visit_info.hpp

@@ -0,0 +1,136 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_OVERLAY_VISIT_INFO_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_VISIT_INFO_HPP
+
+
+#ifdef BOOST_GEOMETRY_USE_MSM
+#  include <boost/geometry/algorithms/detail/overlay/msm_state.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+
+#if ! defined(BOOST_GEOMETRY_USE_MSM)
+
+class visit_info
+{
+private :
+    static const int NONE = 0;
+    static const int STARTED = 1;
+    static const int VISITED = 2;
+    static const int FINISHED = 3;
+    static const int REJECTED = 4;
+
+    int m_visit_code;
+    bool m_rejected;
+
+public:
+    inline visit_info()
+        : m_visit_code(0)
+        , m_rejected(false)
+    {}
+
+    inline void set_visited() { m_visit_code = VISITED; }
+    inline void set_started() { m_visit_code = STARTED; }
+    inline void set_finished() { m_visit_code = FINISHED; }
+    inline void set_rejected()
+    {
+        m_visit_code = REJECTED;
+        m_rejected = true;
+    }
+
+    inline bool none() const { return m_visit_code == NONE; }
+    inline bool visited() const { return m_visit_code == VISITED; }
+    inline bool started() const { return m_visit_code == STARTED; }
+    inline bool finished() const { return m_visit_code == FINISHED; }
+    inline bool rejected() const { return m_rejected; }
+
+    inline void clear()
+    {
+        if (! rejected())
+        {
+            m_visit_code = NONE;
+        }
+    }
+
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_INTERSECTION
+    friend std::ostream& operator<<(std::ostream &os, visit_info const& v)
+    {
+        if (v.m_visit_code != 0)
+        {
+            os << " VIS: " << int(v.m_visit_code);
+        }
+        return os;
+    }
+#endif
+
+};
+
+
+#else
+
+
+class visit_info
+{
+
+private :
+
+#ifndef USE_MSM_MINI
+    mutable
+#endif
+        traverse_state state;
+
+public :
+    inline visit_info()
+    {
+        state.start();
+    }
+
+    inline void set_none() { state.process_event(none()); } // Not Yet Implemented!
+    inline void set_visited() { state.process_event(visit()); }
+    inline void set_started() { state.process_event(starting()); }
+    inline void set_finished() { state.process_event(finish()); }
+
+#ifdef USE_MSM_MINI
+    inline bool none() const { return state.flag_none(); }
+    inline bool visited() const { return state.flag_visited(); }
+    inline bool started() const { return state.flag_started(); }
+#else
+    inline bool none() const { return state.is_flag_active<is_init>(); }
+    inline bool visited() const { return state.is_flag_active<is_visited>(); }
+    inline bool started() const { return state.is_flag_active<is_started>(); }
+#endif
+
+#ifdef BOOST_GEOMETRY_DEBUG_INTERSECTION
+    friend std::ostream& operator<<(std::ostream &os, visit_info const& v)
+    {
+        return os;
+    }
+#endif
+};
+#endif
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_VISIT_INFO_HPP

test/external/boost/geometry/algorithms/detail/partition.hpp

@@ -0,0 +1,389 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011 Barend Gehrels, 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_DETAIL_PARTITION_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_PARTITION_HPP
+
+#include <vector>
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/range/algorithm/copy.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace detail { namespace partition
+{
+
+typedef std::vector<std::size_t> index_vector_type;
+
+template <int Dimension, typename Box>
+inline void divide_box(Box const& box, Box& lower_box, Box& upper_box)
+{
+    typedef typename coordinate_type<Box>::type ctype;
+
+    // Divide input box into two parts, e.g. left/right
+    ctype two = 2;
+    ctype mid = (geometry::get<min_corner, Dimension>(box)
+            + geometry::get<max_corner, Dimension>(box)) / two;
+
+    lower_box = box;
+    upper_box = box;
+    geometry::set<max_corner, Dimension>(lower_box, mid);
+    geometry::set<min_corner, Dimension>(upper_box, mid);
+}
+
+// Divide collection into three subsets: lower, upper and oversized (not-fitting)
+// (lower == left or bottom, upper == right or top)
+template <typename OverlapsPolicy, typename InputCollection, typename Box>
+static inline void divide_into_subsets(Box const& lower_box, Box const& upper_box,
+        InputCollection const& collection,
+        index_vector_type const& input,
+        index_vector_type& lower,
+        index_vector_type& upper,
+        index_vector_type& exceeding)
+{
+    typedef boost::range_iterator<index_vector_type const>::type index_iterator_type;
+
+    for(index_iterator_type it = boost::begin(input);
+        it != boost::end(input);
+        ++it)
+    {
+        bool const lower_overlapping = OverlapsPolicy::apply(lower_box, collection[*it]);
+        bool const upper_overlapping = OverlapsPolicy::apply(upper_box, collection[*it]);
+
+        if (lower_overlapping && upper_overlapping)
+        {
+            exceeding.push_back(*it);
+        }
+        else if (lower_overlapping)
+        {
+            lower.push_back(*it);
+        }
+        else if (upper_overlapping)
+        {
+            upper.push_back(*it);
+        }
+        else
+        {
+            // Is nowhere! Should not occur!
+            BOOST_ASSERT(true);
+        }
+    }
+}
+
+
+// Match collection with itself
+template <typename InputCollection, typename Policy>
+static inline void handle_one(InputCollection const& collection,
+        index_vector_type const& input,
+        Policy& policy)
+{
+    typedef boost::range_iterator<index_vector_type const>::type index_iterator_type;
+    // Quadratic behaviour at lowest level (lowest quad, or all exceeding)
+    for(index_iterator_type it1 = boost::begin(input); it1 != boost::end(input); ++it1)
+    {
+        index_iterator_type it2 = it1;
+        for(++it2; it2 != boost::end(input); ++it2)
+        {
+            policy.apply(collection[*it1], collection[*it2]);
+        }
+    }
+}
+
+// Match collection 1 with collection 2
+template <typename InputCollection, typename Policy>
+static inline void handle_two(
+        InputCollection const& collection1, index_vector_type const& input1,
+        InputCollection const& collection2, index_vector_type const& input2,
+        Policy& policy)
+{
+    typedef boost::range_iterator<index_vector_type const>::type index_iterator_type;
+    for(index_iterator_type it1 = boost::begin(input1); it1 != boost::end(input1); ++it1)
+    {
+        for(index_iterator_type it2 = boost::begin(input2); it2 != boost::end(input2); ++it2)
+        {
+            policy.apply(collection1[*it1], collection2[*it2]);
+        }
+    }
+}
+
+
+template
+<
+    int Dimension,
+    typename Box,
+    typename OverlapsPolicy,
+    typename VisitBoxPolicy
+>
+class partition_one_collection
+{
+    typedef std::vector<std::size_t> index_vector_type;
+    typedef typename coordinate_type<Box>::type ctype;
+    typedef partition_one_collection
+            <
+                1 - Dimension,
+                Box,
+                OverlapsPolicy,
+                VisitBoxPolicy
+            > sub_divide;
+
+    template <typename InputCollection, typename Policy>
+    static inline void next_level(Box const& box,
+            InputCollection const& collection,
+            index_vector_type const& input,
+            int level, int min_elements,
+            Policy& policy, VisitBoxPolicy& box_policy)
+    {
+        if (boost::size(input) > 0)
+        {
+            if (boost::size(input) > min_elements && level < 100)
+            {
+                sub_divide::apply(box, collection, input, level + 1, min_elements, policy, box_policy);
+            }
+            else
+            {
+                handle_one(collection, input, policy);
+            }
+        }
+    }
+
+public :
+    template <typename InputCollection, typename Policy>
+    static inline void apply(Box const& box,
+            InputCollection const& collection,
+            index_vector_type const& input,
+            int level,
+            int min_elements,
+            Policy& policy, VisitBoxPolicy& box_policy)
+    {
+        box_policy.apply(box, level);
+
+        Box lower_box, upper_box;
+        divide_box<Dimension>(box, lower_box, upper_box);
+
+        index_vector_type lower, upper, exceeding;
+        divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection, input, lower, upper, exceeding);
+
+        if (boost::size(exceeding) > 0)
+        {
+            // All what is not fitting a partition should be combined
+            // with each other, and with all which is fitting.
+            handle_one(collection, exceeding, policy);
+            handle_two(collection, exceeding, collection, lower, policy);
+            handle_two(collection, exceeding, collection, upper, policy);
+        }
+
+        // Recursively call operation both parts
+        next_level(lower_box, collection, lower, level, min_elements, policy, box_policy);
+        next_level(upper_box, collection, upper, level, min_elements, policy, box_policy);
+    }
+};
+
+
+template
+<
+    int Dimension,
+    typename Box,
+    typename OverlapsPolicy,
+    typename VisitBoxPolicy
+>
+class partition_two_collections
+{
+    typedef std::vector<std::size_t> index_vector_type;
+    typedef typename coordinate_type<Box>::type ctype;
+    typedef partition_two_collections
+            <
+                1 - Dimension,
+                Box,
+                OverlapsPolicy,
+                VisitBoxPolicy
+            > sub_divide;
+
+    template <typename InputCollection, typename Policy>
+    static inline void next_level(Box const& box,
+            InputCollection const& collection1, index_vector_type const& input1,
+            InputCollection const& collection2, index_vector_type const& input2,
+            int level, int min_elements,
+            Policy& policy, VisitBoxPolicy& box_policy)
+    {
+        if (boost::size(input1) > 0 && boost::size(input2) > 0)
+        {
+            if (boost::size(input1) > min_elements
+                && boost::size(input2) > min_elements
+                && level < 100)
+            {
+                sub_divide::apply(box, collection1, input1, collection2, input2, level + 1, min_elements, policy, box_policy);
+            }
+            else
+            {
+                box_policy.apply(box, level + 1);
+                handle_two(collection1, input1, collection2, input2, policy);
+            }
+        }
+    }
+
+public :
+    template <typename InputCollection, typename Policy>
+    static inline void apply(Box const& box,
+            InputCollection const& collection1, index_vector_type const& input1,
+            InputCollection const& collection2, index_vector_type const& input2,
+            int level,
+            int min_elements,
+            Policy& policy, VisitBoxPolicy& box_policy)
+    {
+        box_policy.apply(box, level);
+
+        Box lower_box, upper_box;
+        divide_box<Dimension>(box, lower_box, upper_box);
+
+        index_vector_type lower1, upper1, exceeding1;
+        index_vector_type lower2, upper2, exceeding2;
+        divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection1, input1, lower1, upper1, exceeding1);
+        divide_into_subsets<OverlapsPolicy>(lower_box, upper_box, collection2, input2, lower2, upper2, exceeding2);
+
+        if (boost::size(exceeding1) > 0)
+        {
+            // All exceeding from 1 with 2:
+            handle_two(collection1, exceeding1, collection2, exceeding2, policy);
+
+            // All exceeding from 1 with lower and upper of 2:
+            handle_two(collection1, exceeding1, collection2, lower2, policy);
+            handle_two(collection1, exceeding1, collection2, upper2, policy);
+        }
+        if (boost::size(exceeding2) > 0)
+        {
+            // All exceeding from 2 with lower and upper of 1:
+            handle_two(collection1, lower1, collection2, exceeding2, policy);
+            handle_two(collection1, upper1, collection2, exceeding2, policy);
+        }
+
+        next_level(lower_box, collection1, lower1, collection2, lower2, level, min_elements, policy, box_policy);
+        next_level(upper_box, collection1, upper1, collection2, upper2, level, min_elements, policy, box_policy);
+    }
+};
+
+
+
+}} // namespace detail::partition
+
+struct visit_no_policy
+{
+    template <typename Box>
+    static inline void apply(Box const&, int )
+    {}
+};
+
+
+template
+<
+    typename Box,
+    typename ExpandPolicy,
+    typename OverlapsPolicy,
+    typename VisitBoxPolicy = visit_no_policy
+>
+class partition
+{
+    typedef std::vector<std::size_t> index_vector_type;
+
+    template <typename InputCollection>
+    static inline void expand_to_collection(InputCollection const& collection, Box& total, index_vector_type& index_vector)
+    {
+        std::size_t index = 0;
+        for(typename boost::range_iterator<InputCollection const>::type it
+            = boost::begin(collection);
+            it != boost::end(collection);
+            ++it, ++index)
+        {
+            ExpandPolicy::apply(total, *it);
+            index_vector.push_back(index);
+        }
+    }
+
+
+public :
+    template <typename InputCollection, typename VisitPolicy>
+    static inline void apply(InputCollection const& collection,
+            VisitPolicy& visitor,
+            int min_elements = 16,
+            VisitBoxPolicy box_visitor = visit_no_policy()
+            )
+    {
+        if (boost::size(collection) > min_elements)
+        {
+            index_vector_type index_vector;
+            Box total;
+            assign_inverse(total);
+            expand_to_collection(collection, total, index_vector);
+
+            detail::partition::partition_one_collection
+                <
+                    0, Box,
+                    OverlapsPolicy,
+                    VisitBoxPolicy
+                >::apply(total, collection, index_vector, 0, min_elements, visitor, box_visitor);
+        }
+        else
+        {
+            typedef typename boost::range_iterator<InputCollection const>::type iterator_type;
+            for(iterator_type it1 = boost::begin(collection); it1 != boost::end(collection); ++it1)
+            {
+                iterator_type it2 = it1;
+                for(++it2; it2 != boost::end(collection); ++it2)
+                {
+                    visitor.apply(*it1, *it2);
+                }
+            }
+        }
+    }
+
+    template <typename InputCollection, typename VisitPolicy>
+    static inline void apply(InputCollection const& collection1,
+                InputCollection const& collection2,
+                VisitPolicy& visitor,
+                int min_elements = 16,
+                VisitBoxPolicy box_visitor = visit_no_policy()
+                )
+    {
+        if (boost::size(collection1) > min_elements && boost::size(collection2) > min_elements)
+        {
+            index_vector_type index_vector1, index_vector2;
+            Box total;
+            assign_inverse(total);
+            expand_to_collection(collection1, total, index_vector1);
+            expand_to_collection(collection2, total, index_vector2);
+
+            detail::partition::partition_two_collections
+                <
+                    0, Box, OverlapsPolicy, VisitBoxPolicy
+                >::apply(total,
+                    collection1, index_vector1,
+                    collection2, index_vector2,
+                    0, min_elements, visitor, box_visitor);
+        }
+        else
+        {
+            typedef typename boost::range_iterator<InputCollection const>::type iterator_type;
+            for(iterator_type it1 = boost::begin(collection1); it1 != boost::end(collection1); ++it1)
+            {
+                for(iterator_type it2 = boost::begin(collection2); it2 != boost::end(collection2); ++it2)
+                {
+                    visitor.apply(*it1, *it2);
+                }
+            }
+        }
+    }
+
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_RING_IDENTIFIER_HPP

test/external/boost/geometry/algorithms/detail/point_on_border.hpp

@@ -0,0 +1,243 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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.Dimension. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace point_on_border
+{
+
+
+template<typename Point>
+struct get_point
+{
+    static inline bool apply(Point& destination, Point const& source, bool)
+    {
+        destination = source;
+        return true;
+    }
+};
+
+template<typename Point, std::size_t Dimension, std::size_t DimensionCount>
+struct midpoint_helper
+{
+    static inline bool apply(Point& p, Point const& p1, Point const& p2)
+    {
+        typename coordinate_type<Point>::type const two = 2;
+        set<Dimension>(p,
+                    (get<Dimension>(p1) + get<Dimension>(p2)) / two);
+        return midpoint_helper<Point, Dimension + 1, DimensionCount>::apply(p, p1, p2);
+    }
+};
+
+
+template <typename Point, std::size_t DimensionCount>
+struct midpoint_helper<Point, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Point& , Point const& , Point const& )
+    {
+        return true;
+    }
+};
+
+
+template<typename Point, typename Range>
+struct point_on_range
+{
+    static inline bool apply(Point& point, Range const& range, bool midpoint)
+    {
+        const std::size_t n = boost::size(range);
+        if (midpoint && n > 1)
+        {
+            typedef typename boost::range_iterator
+                <
+                    Range const
+                >::type iterator;
+
+            iterator it = boost::begin(range);
+            iterator prev = it++;
+            while (it != boost::end(range)
+                && detail::equals::equals_point_point(*it, *prev))
+            {
+                prev = it++;
+            }
+            if (it != boost::end(range))
+            {
+                return midpoint_helper
+                    <
+                        Point,
+                        0, dimension<Point>::value
+                    >::apply(point, *prev, *it);
+            }
+        }
+
+        if (n > 0)
+        {
+            point = *boost::begin(range);
+            return true;
+        }
+        return false;
+    }
+};
+
+
+template<typename Point, typename Polygon>
+struct point_on_polygon
+{
+    static inline bool apply(Point& point, Polygon const& polygon, bool midpoint)
+    {
+        return point_on_range
+            <
+                Point,
+                typename ring_type<Polygon>::type
+            >::apply(point, exterior_ring(polygon), midpoint);
+    }
+};
+
+
+template<typename Point, typename Box>
+struct point_on_box
+{
+    static inline bool apply(Point& point, Box const& box, bool midpoint)
+    {
+        if (midpoint)
+        {
+            Point p1, p2;
+            detail::assign::assign_box_2d_corner<min_corner, min_corner>(box, p1);
+            detail::assign::assign_box_2d_corner<max_corner, min_corner>(box, p2);
+            midpoint_helper
+                <
+                    Point,
+                    0, dimension<Point>::value
+                >::apply(point, p1, p2);
+        }
+        else
+        {
+            detail::assign::assign_box_2d_corner<min_corner, min_corner>(box, point);
+        }
+
+        return true;
+    }
+};
+
+
+}} // namespace detail::point_on_border
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename GeometryTag,
+    typename Point,
+    typename Geometry
+
+>
+struct point_on_border
+{};
+
+
+template<typename Point>
+struct point_on_border<point_tag, Point, Point>
+    : detail::point_on_border::get_point<Point>
+{};
+
+
+template<typename Point, typename Linestring>
+struct point_on_border<linestring_tag, Point, Linestring>
+    : detail::point_on_border::point_on_range<Point, Linestring>
+{};
+
+
+template<typename Point, typename Ring>
+struct point_on_border<ring_tag, Point, Ring>
+    : detail::point_on_border::point_on_range<Point, Ring>
+{};
+
+
+template<typename Point, typename Polygon>
+struct point_on_border<polygon_tag, Point, Polygon>
+    : detail::point_on_border::point_on_polygon<Point, Polygon>
+{};
+
+
+template<typename Point, typename Box>
+struct point_on_border<box_tag, Point, Box>
+    : detail::point_on_border::point_on_box<Point, Box>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Take point on a border
+\ingroup overlay
+\tparam Geometry geometry type. This also defines the type of the output point
+\param point to assign
+\param geometry geometry to take point from
+\param midpoint boolean flag, true if the point should not be a vertex, but some point
+    in between of two vertices
+\return TRUE if successful, else false.
+    It is only false if polygon/line have no points
+\note for a polygon, it is always a point on the exterior ring
+\note for take_midpoint, it is not taken from two consecutive duplicate vertices,
+    (unless there are no other).
+ */
+template <typename Point, typename Geometry>
+inline bool point_on_border(Point& point,
+            Geometry const& geometry,
+            bool midpoint = false)
+{
+    concept::check<Point>();
+    concept::check<Geometry const>();
+
+    typedef typename point_type<Geometry>::type point_type;
+
+    return dispatch::point_on_border
+            <
+                typename tag<Geometry>::type,
+                Point,
+                Geometry
+            >::apply(point, geometry, midpoint);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP

test/external/boost/geometry/algorithms/detail/ring_identifier.hpp

@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DETAIL_RING_IDENTIFIER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_RING_IDENTIFIER_HPP
+
+
+namespace boost { namespace geometry
+{
+
+
+// Ring Identifier. It is currently: source,multi,ring
+struct ring_identifier
+{
+
+    inline ring_identifier()
+        : source_index(-1)
+        , multi_index(-1)
+        , ring_index(-1)
+    {}
+
+    inline ring_identifier(int src, int mul, int rin)
+        : source_index(src)
+        , multi_index(mul)
+        , ring_index(rin)
+    {}
+
+    inline bool operator<(ring_identifier const& other) const
+    {
+        return source_index != other.source_index ? source_index < other.source_index
+            : multi_index !=other.multi_index ? multi_index < other.multi_index
+            : ring_index < other.ring_index
+            ;
+    }
+
+    inline bool operator==(ring_identifier const& other) const
+    {
+        return source_index == other.source_index
+            && ring_index == other.ring_index
+            && multi_index == other.multi_index
+            ;
+    }
+
+#if defined(BOOST_GEOMETRY_DEBUG_IDENTIFIER)
+    friend std::ostream& operator<<(std::ostream &os, ring_identifier const& ring_id)
+    {
+        os << "(s:" << ring_id.source_index;
+        if (ring_id.ring_index >= 0) os << ", r:" << ring_id.ring_index;
+        if (ring_id.multi_index >= 0) os << ", m:" << ring_id.multi_index;
+        os << ")";
+        return os;
+    }
+#endif
+
+
+    int source_index;
+    int multi_index;
+    int ring_index;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_RING_IDENTIFIER_HPP

test/external/boost/geometry/algorithms/detail/sections/range_by_section.hpp

@@ -0,0 +1,131 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace section
+{
+
+
+template <typename Range, typename Section>
+struct full_section_range
+{
+    static inline Range const& apply(Range const& range, Section const& section)
+    {
+        return range;
+    }
+};
+
+
+template <typename Polygon, typename Section>
+struct full_section_polygon
+{
+    static inline typename ring_return_type<Polygon const>::type apply(Polygon const& polygon, Section const& section)
+    {
+        return section.ring_id.ring_index < 0
+            ? geometry::exterior_ring(polygon)
+            : geometry::interior_rings(polygon)[section.ring_id.ring_index];
+    }
+};
+
+
+}} // namespace detail::section
+#endif
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename Section
+>
+struct range_by_section
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+
+template <typename LineString, typename Section>
+struct range_by_section<linestring_tag, LineString, Section>
+    : detail::section::full_section_range<LineString, Section>
+{};
+
+
+template <typename Ring, typename Section>
+struct range_by_section<ring_tag, Ring, Section>
+    : detail::section::full_section_range<Ring, Section>
+{};
+
+
+template <typename Polygon, typename Section>
+struct range_by_section<polygon_tag, Polygon, Section>
+    : detail::section::full_section_polygon<Polygon, Section>
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+    \brief Get full ring (exterior, one of interiors, one from multi)
+        indicated by the specified section
+    \ingroup sectionalize
+    \tparam Geometry type
+    \tparam Section type of section to get from
+    \param geometry geometry to take section of
+    \param section structure with section
+ */
+template <typename Geometry, typename Section>
+inline typename ring_return_type<Geometry const>::type
+            range_by_section(Geometry const& geometry, Section const& section)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::range_by_section
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Section
+        >::apply(geometry, section);
+}
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP

test/external/boost/geometry/algorithms/detail/sections/sectionalize.hpp

@@ -0,0 +1,648 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DETAIL_SECTIONS_SECTIONALIZE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_SECTIONS_SECTIONALIZE_HPP
+
+#include <cstddef>
+#include <vector>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/expand.hpp>
+
+#include <boost/geometry/algorithms/detail/ring_identifier.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/point_order.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+    \brief Structure containing section information
+    \details Section information consists of a bounding box, direction
+        information (if it is increasing or decreasing, per dimension),
+        index information (begin-end, ring, multi) and the number of
+        segments in this section
+
+    \tparam Box box-type
+    \tparam DimensionCount number of dimensions for this section
+    \ingroup sectionalize
+ */
+template <typename Box, std::size_t DimensionCount>
+struct section
+{
+    typedef Box box_type;
+
+    int id; // might be obsolete now, BSG 14-03-2011 TODO decide about this
+
+    int directions[DimensionCount];
+    ring_identifier ring_id;
+    Box bounding_box;
+
+    int begin_index;
+    int end_index;
+    std::size_t count;
+    std::size_t range_count;
+    bool duplicate;
+    int non_duplicate_index;
+
+    inline section()
+        : id(-1)
+        , begin_index(-1)
+        , end_index(-1)
+        , count(0)
+        , range_count(0)
+        , duplicate(false)
+        , non_duplicate_index(-1)
+    {
+        assign_inverse(bounding_box);
+        for (register std::size_t i = 0; i < DimensionCount; i++)
+        {
+            directions[i] = 0;
+        }
+    }
+};
+
+
+/*!
+    \brief Structure containing a collection of sections
+    \note Derived from a vector, proves to be faster than of deque
+    \note vector might be templated in the future
+    \ingroup sectionalize
+ */
+template <typename Box, std::size_t DimensionCount>
+struct sections : std::vector<section<Box, DimensionCount> >
+{
+    typedef Box box_type;
+    static std::size_t const value = DimensionCount;
+};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace sectionalize
+{
+
+template <typename Segment, std::size_t Dimension, std::size_t DimensionCount>
+struct get_direction_loop
+{
+    typedef typename coordinate_type<Segment>::type coordinate_type;
+
+    static inline void apply(Segment const& seg,
+                int directions[DimensionCount])
+    {
+        coordinate_type const diff =
+            geometry::get<1, Dimension>(seg) - geometry::get<0, Dimension>(seg);
+
+        coordinate_type zero = coordinate_type();
+        directions[Dimension] = diff > zero ? 1 : diff < zero ? -1 : 0;
+
+        get_direction_loop
+            <
+                Segment, Dimension + 1, DimensionCount
+            >::apply(seg, directions);
+    }
+};
+
+template <typename Segment, std::size_t DimensionCount>
+struct get_direction_loop<Segment, DimensionCount, DimensionCount>
+{
+    static inline void apply(Segment const&, int [DimensionCount])
+    {}
+};
+
+template <typename T, std::size_t Dimension, std::size_t DimensionCount>
+struct copy_loop
+{
+    static inline void apply(T const source[DimensionCount],
+                T target[DimensionCount])
+    {
+        target[Dimension] = source[Dimension];
+        copy_loop<T, Dimension + 1, DimensionCount>::apply(source, target);
+    }
+};
+
+template <typename T, std::size_t DimensionCount>
+struct copy_loop<T, DimensionCount, DimensionCount>
+{
+    static inline void apply(T const [DimensionCount], T [DimensionCount])
+    {}
+};
+
+template <typename T, std::size_t Dimension, std::size_t DimensionCount>
+struct compare_loop
+{
+    static inline bool apply(T const source[DimensionCount],
+                T const target[DimensionCount])
+    {
+        bool const not_equal = target[Dimension] != source[Dimension];
+
+        return not_equal
+            ? false
+            : compare_loop
+                <
+                    T, Dimension + 1, DimensionCount
+                >::apply(source, target);
+    }
+};
+
+template <typename T, std::size_t DimensionCount>
+struct compare_loop<T, DimensionCount, DimensionCount>
+{
+    static inline bool apply(T const [DimensionCount],
+                T const [DimensionCount])
+    {
+
+        return true;
+    }
+};
+
+
+template <typename Segment, std::size_t Dimension, std::size_t DimensionCount>
+struct check_duplicate_loop
+{
+    typedef typename coordinate_type<Segment>::type coordinate_type;
+
+    static inline bool apply(Segment const& seg)
+    {
+        if (! geometry::math::equals
+                (
+                    geometry::get<0, Dimension>(seg), 
+                    geometry::get<1, Dimension>(seg)
+                )
+            )
+        {
+            return false;
+        }
+
+        return check_duplicate_loop
+            <
+                Segment, Dimension + 1, DimensionCount
+            >::apply(seg);
+    }
+};
+
+template <typename Segment, std::size_t DimensionCount>
+struct check_duplicate_loop<Segment, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Segment const&)
+    {
+        return true;
+    }
+};
+
+template <typename T, std::size_t Dimension, std::size_t DimensionCount>
+struct assign_loop
+{
+    static inline void apply(T dims[DimensionCount], int const value)
+    {
+        dims[Dimension] = value;
+        assign_loop<T, Dimension + 1, DimensionCount>::apply(dims, value);
+    }
+};
+
+template <typename T, std::size_t DimensionCount>
+struct assign_loop<T, DimensionCount, DimensionCount>
+{
+    static inline void apply(T [DimensionCount], int const)
+    {
+    }
+};
+
+/// @brief Helper class to create sections of a part of a range, on the fly
+template
+<
+    typename Range,  // Can be closeable_view
+    typename Point,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize_part
+{
+    typedef model::referring_segment<Point const> segment_type;
+    typedef typename boost::range_value<Sections>::type section_type;
+
+    typedef typename boost::range_iterator<Range const>::type iterator_type;
+
+    static inline void apply(Sections& sections, section_type& section,
+                int& index, int& ndi,
+                Range const& range,
+                ring_identifier ring_id)
+    {
+        if (boost::size(range) <= index)
+        {
+            return;
+        }
+
+        if (index == 0)
+        {
+            ndi = 0;
+        }
+
+        iterator_type it = boost::begin(range);
+        it += index;
+
+        for(iterator_type previous = it++;
+            it != boost::end(range);
+            ++previous, ++it, index++)
+        {
+            segment_type segment(*previous, *it);
+
+            int direction_classes[DimensionCount] = {0};
+            get_direction_loop
+                <
+                    segment_type, 0, DimensionCount
+                >::apply(segment, direction_classes);
+
+            // if "dir" == 0 for all point-dimensions, it is duplicate.
+            // Those sections might be omitted, if wished, lateron
+            bool duplicate = false;
+
+            if (direction_classes[0] == 0)
+            {
+                // Recheck because ALL dimensions should be checked,
+                // not only first one.
+                // (DimensionCount might be < dimension<P>::value)
+                if (check_duplicate_loop
+                    <
+                        segment_type, 0, geometry::dimension<Point>::type::value
+                    >::apply(segment)
+                    )
+                {
+                    duplicate = true;
+
+                    // Change direction-info to force new section
+                    // Note that wo consecutive duplicate segments will generate
+                    // only one duplicate-section.
+                    // Actual value is not important as long as it is not -1,0,1
+                    assign_loop
+                    <
+                        int, 0, DimensionCount
+                    >::apply(direction_classes, -99);
+                }
+            }
+
+            if (section.count > 0
+                && (!compare_loop
+                        <
+                            int, 0, DimensionCount
+                        >::apply(direction_classes, section.directions)
+                    || section.count > MaxCount
+                    )
+                )
+            {
+                sections.push_back(section);
+                section = section_type();
+            }
+
+            if (section.count == 0)
+            {
+                section.begin_index = index;
+                section.ring_id = ring_id;
+                section.duplicate = duplicate;
+                section.non_duplicate_index = ndi;
+                section.range_count = boost::size(range);
+
+                copy_loop
+                    <
+                        int, 0, DimensionCount
+                    >::apply(direction_classes, section.directions);
+                geometry::expand(section.bounding_box, *previous);
+            }
+
+            geometry::expand(section.bounding_box, *it);
+            section.end_index = index + 1;
+            section.count++;
+            if (! duplicate)
+            {
+                ndi++;
+            }
+        }
+    }
+};
+
+
+template
+<
+    typename Range, closure_selector Closure, bool Reverse,
+    typename Point,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize_range
+{
+    typedef typename closeable_view<Range const, Closure>::type cview_type;
+    typedef typename reversible_view
+        <
+            cview_type const,
+            Reverse ? iterate_reverse : iterate_forward
+        >::type view_type;
+
+    static inline void apply(Range const& range, Sections& sections,
+                ring_identifier ring_id)
+    {
+        typedef model::referring_segment<Point const> segment_type;
+
+        cview_type cview(range);
+        view_type view(cview);
+
+        std::size_t const n = boost::size(view);
+        if (n == 0)
+        {
+            // Zero points, no section
+            return;
+        }
+
+        if (n == 1)
+        {
+            // Line with one point ==> no sections
+            return;
+        }
+
+        int index = 0;
+        int ndi = 0; // non duplicate index
+
+        typedef typename boost::range_value<Sections>::type section_type;
+        section_type section;
+
+        sectionalize_part
+            <
+                view_type, Point, Sections,
+                DimensionCount, MaxCount
+            >::apply(sections, section, index, ndi,
+                        view, ring_id);
+
+        // Add last section if applicable
+        if (section.count > 0)
+        {
+            sections.push_back(section);
+        }
+    }
+};
+
+template
+<
+    typename Polygon,
+    bool Reverse,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize_polygon
+{
+    static inline void apply(Polygon const& poly, Sections& sections,
+                ring_identifier ring_id)
+    {
+        typedef typename point_type<Polygon>::type point_type;
+        typedef typename ring_type<Polygon>::type ring_type;
+        typedef sectionalize_range
+            <
+                ring_type, closure<Polygon>::value, Reverse,
+                point_type, Sections, DimensionCount, MaxCount
+            > sectionalizer_type;
+
+        ring_id.ring_index = -1;
+        sectionalizer_type::apply(exterior_ring(poly), sections, ring_id);//-1, multi_index);
+
+        ring_id.ring_index++;
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings);
+             ++it, ++ring_id.ring_index)
+        {
+            sectionalizer_type::apply(*it, sections, ring_id);
+        }
+    }
+};
+
+template
+<
+    typename Box,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize_box
+{
+    static inline void apply(Box const& box, Sections& sections, ring_identifier const& ring_id)
+    {
+        typedef typename point_type<Box>::type point_type;
+
+        assert_dimension<Box, 2>();
+
+        // Add all four sides of the 2D-box as separate section.
+        // Easiest is to convert it to a polygon.
+        // However, we don't have the polygon type
+        // (or polygon would be a helper-type).
+        // Therefore we mimic a linestring/std::vector of 5 points
+
+        // TODO: might be replaced by assign_box_corners_oriented 
+        // or just "convert"
+        point_type ll, lr, ul, ur;
+        geometry::detail::assign_box_corners(box, ll, lr, ul, ur);
+
+        std::vector<point_type> points;
+        points.push_back(ll);
+        points.push_back(ul);
+        points.push_back(ur);
+        points.push_back(lr);
+        points.push_back(ll);
+
+        sectionalize_range
+            <
+                std::vector<point_type>, closed, false,
+                point_type,
+                Sections,
+                DimensionCount,
+                MaxCount
+            >::apply(points, sections, ring_id);
+    }
+};
+
+template <typename Sections>
+inline void set_section_unique_ids(Sections& sections)
+{
+    // Set ID's.
+    int index = 0;
+    for (typename boost::range_iterator<Sections>::type it = boost::begin(sections);
+        it != boost::end(sections);
+        ++it)
+    {
+        it->id = index++;
+    }
+}
+
+
+}} // namespace detail::sectionalize
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    bool Reverse,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+template
+<
+    typename Box,
+    bool Reverse,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize<box_tag, Box, Reverse, Sections, DimensionCount, MaxCount>
+    : detail::sectionalize::sectionalize_box
+        <
+            Box,
+            Sections,
+            DimensionCount,
+            MaxCount
+        >
+{};
+
+template
+<
+    typename LineString,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize
+    <
+        linestring_tag,
+        LineString,
+        false,
+        Sections,
+        DimensionCount,
+        MaxCount
+    >
+    : detail::sectionalize::sectionalize_range
+        <
+            LineString, closed, false,
+            typename point_type<LineString>::type,
+            Sections,
+            DimensionCount,
+            MaxCount
+        >
+{};
+
+template
+<
+    typename Ring,
+    bool Reverse,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize<ring_tag, Ring, Reverse, Sections, DimensionCount, MaxCount>
+    : detail::sectionalize::sectionalize_range
+        <
+            Ring, geometry::closure<Ring>::value, Reverse,
+            typename point_type<Ring>::type,
+            Sections,
+            DimensionCount,
+            MaxCount
+        >
+{};
+
+template
+<
+    typename Polygon,
+    bool Reverse,
+    typename Sections,
+    std::size_t DimensionCount,
+    std::size_t MaxCount
+>
+struct sectionalize<polygon_tag, Polygon, Reverse, Sections, DimensionCount, MaxCount>
+    : detail::sectionalize::sectionalize_polygon
+        <
+            Polygon, Reverse, Sections, DimensionCount, MaxCount
+        >
+{};
+
+} // namespace dispatch
+#endif
+
+
+/*!
+    \brief Split a geometry into monotonic sections
+    \ingroup sectionalize
+    \tparam Geometry type of geometry to check
+    \tparam Sections type of sections to create
+    \param geometry geometry to create sections from
+    \param sections structure with sections
+    \param source_index index to assign to the ring_identifiers
+ */
+template<bool Reverse, typename Geometry, typename Sections>
+inline void sectionalize(Geometry const& geometry, Sections& sections, int source_index = 0)
+{
+    concept::check<Geometry const>();
+
+    // TODO: review use of this constant (see below) as causing problems with GCC 4.6 --mloskot
+    // A maximum of 10 segments per section seems to give the fastest results
+    //static std::size_t const max_segments_per_section = 10;
+    typedef dispatch::sectionalize
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Reverse,
+            Sections,
+            Sections::value,
+            10 // TODO: max_segments_per_section
+        > sectionalizer_type;
+
+    sections.clear();
+    ring_identifier ring_id;
+    ring_id.source_index = source_index;
+    sectionalizer_type::apply(geometry, sections, ring_id);
+    detail::sectionalize::set_section_unique_ids(sections);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_SECTIONS_SECTIONALIZE_HPP

test/external/boost/geometry/algorithms/difference.hpp

@@ -0,0 +1,148 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_DIFFERENCE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DIFFERENCE_HPP
+
+#include <algorithm>
+
+#include <boost/geometry/algorithms/detail/overlay/intersection_insert.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace difference
+{
+
+/*!
+\brief_calc2{difference} \brief_strategy
+\ingroup difference
+\details \details_calc2{difference_insert, spatial set theoretic difference}
+    \brief_strategy. \details_inserter{difference}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator output iterator
+\tparam Strategy \tparam_strategy_overlay
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{difference}
+\param strategy \param_strategy{difference}
+\return \return_out
+
+\qbk{distinguish,with strategy}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator difference_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, OutputIterator out,
+            Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    return detail::intersection::insert<GeometryOut, true, overlay_difference>(
+            geometry1, geometry2,
+            out,
+            strategy);
+}
+
+/*!
+\brief_calc2{difference}
+\ingroup difference
+\details \details_calc2{difference_insert, spatial set theoretic difference}.
+    \details_insert{difference}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator output iterator
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{difference}
+\return \return_out
+
+\qbk{[include reference/algorithms/difference_insert.qbk]}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator
+>
+inline OutputIterator difference_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, OutputIterator out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    typedef strategy_intersection
+        <
+            typename cs_tag<GeometryOut>::type,
+            Geometry1,
+            Geometry2,
+            typename geometry::point_type<GeometryOut>::type
+        > strategy;
+
+    return difference_insert<GeometryOut>(geometry1, geometry2,
+            out, strategy());
+}
+
+
+}} // namespace detail::difference
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+/*!
+\brief_calc2{difference}
+\ingroup difference
+\details \details_calc2{difference, spatial set theoretic difference}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Collection \tparam_output_collection
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param output_collection the output collection
+
+\qbk{[include reference/algorithms/difference.qbk]}
+*/
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename Collection
+>
+inline void difference(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, Collection& output_collection)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef typename boost::range_value<Collection>::type geometry_out;
+    concept::check<geometry_out>();
+
+    detail::difference::difference_insert<geometry_out>(
+            geometry1, geometry2,
+            std::back_inserter(output_collection));
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DIFFERENCE_HPP

test/external/boost/geometry/algorithms/disjoint.hpp

@@ -0,0 +1,253 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DISJOINT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DISJOINT_HPP
+
+#include <cstddef>
+#include <deque>
+
+#include <boost/mpl/if.hpp>
+#include <boost/range.hpp>
+
+#include <boost/static_assert.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+#include <boost/geometry/algorithms/detail/point_on_border.hpp>
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace disjoint
+{
+
+template <typename Geometry1, typename Geometry2>
+struct disjoint_linear
+{
+    static inline bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2)
+    {
+        typedef typename geometry::point_type<Geometry1>::type point_type;
+
+        typedef overlay::turn_info<point_type> turn_info;
+        std::deque<turn_info> turns;
+
+        // Get (and stop on) any intersection
+        disjoint_interrupt_policy policy;
+        geometry::get_turns
+            <
+                false, false,
+                overlay::assign_null_policy
+            >(geometry1, geometry2, turns, policy);
+        if (policy.has_intersections)
+        {
+            return false;
+        }
+
+        return true;
+    }
+};
+
+template <typename Segment1, typename Segment2>
+struct disjoint_segment
+{
+    static inline bool apply(Segment1 const& segment1, Segment2 const& segment2)
+    {
+        typedef typename point_type<Segment1>::type point_type;
+
+        segment_intersection_points<point_type> is
+            = strategy::intersection::relate_cartesian_segments
+            <
+                policies::relate::segments_intersection_points
+                    <
+                        Segment1,
+                        Segment2,
+                        segment_intersection_points<point_type>
+                    >
+            >::apply(segment1, segment2);
+
+        return is.count == 0;
+    }
+};
+
+
+
+template <typename Geometry1, typename Geometry2>
+struct general_areal
+{
+    static inline bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2)
+    {
+        if (! disjoint_linear<Geometry1, Geometry2>::apply(geometry1, geometry2))
+        {
+            return false;
+        }
+
+        typedef typename geometry::point_type<Geometry1>::type point_type;
+
+        // If there is no intersection of segments, they might located
+        // inside each other
+        point_type p1;
+        geometry::point_on_border(p1, geometry1);
+        if (geometry::within(p1, geometry2))
+        {
+            return false;
+        }
+
+        typename geometry::point_type<Geometry1>::type p2;
+        geometry::point_on_border(p2, geometry2);
+        if (geometry::within(p2, geometry1))
+        {
+            return false;
+        }
+
+        return true;
+    }
+};
+
+
+}} // namespace detail::disjoint
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename Geometry1, typename Geometry2,
+    std::size_t DimensionCount
+>
+struct disjoint
+    : detail::disjoint::general_areal<Geometry1, Geometry2>
+{};
+
+
+template <typename Point1, typename Point2, std::size_t DimensionCount>
+struct disjoint<point_tag, point_tag, Point1, Point2, DimensionCount>
+    : detail::disjoint::point_point<Point1, Point2, 0, DimensionCount>
+{};
+
+
+template <typename Box1, typename Box2, std::size_t DimensionCount>
+struct disjoint<box_tag, box_tag, Box1, Box2, DimensionCount>
+    : detail::disjoint::box_box<Box1, Box2, 0, DimensionCount>
+{};
+
+
+template <typename Point, typename Box, std::size_t DimensionCount>
+struct disjoint<point_tag, box_tag, Point, Box, DimensionCount>
+    : detail::disjoint::point_box<Point, Box, 0, DimensionCount>
+{};
+
+template <typename Linestring1, typename Linestring2>
+struct disjoint<linestring_tag, linestring_tag, Linestring1, Linestring2, 2>
+    : detail::disjoint::disjoint_linear<Linestring1, Linestring2>
+{};
+
+template <typename Linestring1, typename Linestring2>
+struct disjoint<segment_tag, segment_tag, Linestring1, Linestring2, 2>
+    : detail::disjoint::disjoint_segment<Linestring1, Linestring2>
+{};
+
+template <typename Linestring, typename Segment>
+struct disjoint<linestring_tag, segment_tag, Linestring, Segment, 2>
+    : detail::disjoint::disjoint_linear<Linestring, Segment>
+{};
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename Geometry1, typename Geometry2,
+    std::size_t DimensionCount
+>
+struct disjoint_reversed
+{
+    static inline bool apply(Geometry1 const& g1, Geometry2 const& g2)
+    {
+        return disjoint
+            <
+                GeometryTag2, GeometryTag1,
+                Geometry2, Geometry1,
+                DimensionCount
+            >::apply(g2, g1);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+/*!
+\brief \brief_check2{are disjoint}
+\ingroup disjoint
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return \return_check2{are disjoint}
+ */
+template <typename Geometry1, typename Geometry2>
+inline bool disjoint(Geometry1 const& geometry1,
+            Geometry2 const& geometry2)
+{
+    concept::check_concepts_and_equal_dimensions
+        <
+            Geometry1 const,
+            Geometry2 const
+        >();
+
+    return boost::mpl::if_c
+        <
+            reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::disjoint_reversed
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1,
+                Geometry2,
+                dimension<Geometry1>::type::value
+            >,
+            dispatch::disjoint
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1,
+                Geometry2,
+                dimension<Geometry1>::type::value
+            >
+        >::type::apply(geometry1, geometry2);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DISJOINT_HPP

test/external/boost/geometry/algorithms/distance.hpp

@@ -0,0 +1,569 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_DISTANCE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DISTANCE_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/static_assert.hpp>
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/geometries/segment.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/default_distance_result.hpp>
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace distance
+{
+
+// To avoid spurious namespaces here:
+using strategy::distance::services::return_type;
+
+template <typename P1, typename P2, typename Strategy>
+struct point_to_point
+{
+    static inline typename return_type<Strategy>::type apply(P1 const& p1,
+                P2 const& p2, Strategy const& strategy)
+    {
+        return strategy.apply(p1, p2);
+    }
+};
+
+
+template<typename Point, typename Segment, typename Strategy>
+struct point_to_segment
+{
+    static inline typename return_type<Strategy>::type apply(Point const& point,
+                Segment const& segment, Strategy const& strategy)
+    {
+        typename strategy::distance::services::default_strategy
+            <
+                segment_tag,
+                Point,
+                typename point_type<Segment>::type,
+                typename cs_tag<Point>::type,
+                typename cs_tag<typename point_type<Segment>::type>::type,
+                Strategy
+            >::type segment_strategy;
+
+        typename point_type<Segment>::type p[2];
+        geometry::detail::assign_point_from_index<0>(segment, p[0]);
+        geometry::detail::assign_point_from_index<1>(segment, p[1]);
+        return segment_strategy.apply(point, p[0], p[1]);
+    }
+};
+
+
+template
+<
+    typename Point,
+    typename Range,
+    closure_selector Closure,
+    typename PPStrategy,
+    typename PSStrategy
+>
+struct point_to_range
+{
+    typedef typename return_type<PSStrategy>::type return_type;
+
+    static inline return_type apply(Point const& point, Range const& range,
+            PPStrategy const& pp_strategy, PSStrategy const& ps_strategy)
+    {
+        return_type const zero = return_type(0);
+
+        if (boost::size(range) == 0)
+        {
+            return zero;
+        }
+
+        typedef typename closeable_view<Range const, Closure>::type view_type;
+
+        view_type view(range);
+
+        // line of one point: return point distance
+        typedef typename boost::range_iterator<view_type const>::type iterator_type;
+        iterator_type it = boost::begin(view);
+        iterator_type prev = it++;
+        if (it == boost::end(view))
+        {
+            return pp_strategy.apply(point, *boost::begin(view));
+        }
+
+        // Create comparable (more efficient) strategy
+        typedef typename strategy::distance::services::comparable_type<PSStrategy>::type eps_strategy_type;
+        eps_strategy_type eps_strategy = strategy::distance::services::get_comparable<PSStrategy>::apply(ps_strategy);
+
+        // start with first segment distance
+        return_type d = eps_strategy.apply(point, *prev, *it);
+        return_type rd = ps_strategy.apply(point, *prev, *it);
+
+        // check if other segments are closer
+        for (++prev, ++it; it != boost::end(view); ++prev, ++it)
+        {
+            return_type const ds = ps_strategy.apply(point, *prev, *it);
+            if (geometry::math::equals(ds, zero))
+            {
+                return ds;
+            }
+            else if (ds < d)
+            {
+                d = ds;
+                rd = ps_strategy.apply(point, *prev, *it);
+            }
+        }
+
+        return rd;
+    }
+};
+
+
+template
+<
+    typename Point,
+    typename Ring,
+    closure_selector Closure,
+    typename PPStrategy,
+    typename PSStrategy
+>
+struct point_to_ring
+{
+    typedef std::pair
+        <
+            typename return_type<PPStrategy>::type, bool
+        > distance_containment;
+
+    static inline distance_containment apply(Point const& point,
+                Ring const& ring,
+                PPStrategy const& pp_strategy, PSStrategy const& ps_strategy)
+    {
+        return distance_containment
+            (
+                point_to_range
+                    <
+                        Point,
+                        Ring,
+                        Closure,
+                        PPStrategy,
+                        PSStrategy
+                    >::apply(point, ring, pp_strategy, ps_strategy),
+                geometry::within(point, ring)
+            );
+    }
+};
+
+
+
+template
+<
+    typename Point,
+    typename Polygon,
+    closure_selector Closure,
+    typename PPStrategy,
+    typename PSStrategy
+>
+struct point_to_polygon
+{
+    typedef typename return_type<PPStrategy>::type return_type;
+    typedef std::pair<return_type, bool> distance_containment;
+
+    static inline distance_containment apply(Point const& point,
+                Polygon const& polygon,
+                PPStrategy const& pp_strategy, PSStrategy const& ps_strategy)
+    {
+        // Check distance to all rings
+        typedef point_to_ring
+            <
+                Point,
+                typename ring_type<Polygon>::type,
+                Closure,
+                PPStrategy,
+                PSStrategy
+            > per_ring;
+
+        distance_containment dc = per_ring::apply(point,
+                        exterior_ring(polygon), pp_strategy, ps_strategy);
+
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(polygon);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            distance_containment dcr = per_ring::apply(point,
+                            *it, pp_strategy, ps_strategy);
+            if (dcr.first < dc.first)
+            {
+                dc.first = dcr.first;
+            }
+            // If it was inside, and also inside inner ring,
+            // turn off the inside-flag, it is outside the polygon
+            if (dc.second && dcr.second)
+            {
+                dc.second = false;
+            }
+        }
+        return dc;
+    }
+};
+
+
+}} // namespace detail::distance
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+using strategy::distance::services::return_type;
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename Geometry1, typename Geometry2,
+    typename StrategyTag, typename Strategy
+>
+struct distance
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry1, Geometry2>)
+        );
+};
+
+
+template <typename P1, typename P2, typename Strategy>
+struct distance
+    <
+        point_tag, point_tag,
+        P1, P2,
+        strategy_tag_distance_point_point, Strategy
+    >
+    : detail::distance::point_to_point<P1, P2, Strategy>
+{};
+
+
+// Point-line version 1, where point-point strategy is specified
+template <typename Point, typename Linestring, typename Strategy>
+struct distance
+<
+    point_tag, linestring_tag,
+    Point, Linestring,
+    strategy_tag_distance_point_point, Strategy
+>
+{
+
+    static inline typename return_type<Strategy>::type apply(Point const& point,
+            Linestring const& linestring,
+            Strategy const& strategy)
+    {
+        typedef typename strategy::distance::services::default_strategy
+                    <
+                        segment_tag,
+                        Point,
+                        typename point_type<Linestring>::type
+                    >::type ps_strategy_type;
+
+        return detail::distance::point_to_range
+            <
+                Point, Linestring, closed, Strategy, ps_strategy_type
+            >::apply(point, linestring, strategy, ps_strategy_type());
+    }
+};
+
+
+// Point-line version 2, where point-segment strategy is specified
+template <typename Point, typename Linestring, typename Strategy>
+struct distance
+<
+    point_tag, linestring_tag,
+    Point, Linestring,
+    strategy_tag_distance_point_segment, Strategy
+>
+{
+    static inline typename return_type<Strategy>::type apply(Point const& point,
+            Linestring const& linestring,
+            Strategy const& strategy)
+    {
+        typedef typename Strategy::point_strategy_type pp_strategy_type;
+        return detail::distance::point_to_range
+            <
+                Point, Linestring, closed, pp_strategy_type, Strategy
+            >::apply(point, linestring, pp_strategy_type(), strategy);
+    }
+};
+
+// Point-ring , where point-segment strategy is specified
+template <typename Point, typename Ring, typename Strategy>
+struct distance
+<
+    point_tag, ring_tag,
+    Point, Ring,
+    strategy_tag_distance_point_point, Strategy
+>
+{
+    typedef typename return_type<Strategy>::type return_type;
+
+    static inline return_type apply(Point const& point,
+            Ring const& ring,
+            Strategy const& strategy)
+    {
+        typedef typename strategy::distance::services::default_strategy
+            <
+                segment_tag,
+                Point,
+                typename point_type<Ring>::type
+            >::type ps_strategy_type;
+
+        std::pair<return_type, bool>
+            dc = detail::distance::point_to_ring
+            <
+                Point, Ring,
+                geometry::closure<Ring>::value,
+                Strategy, ps_strategy_type
+            >::apply(point, ring, strategy, ps_strategy_type());
+
+        return dc.second ? return_type(0) : dc.first;
+    }
+};
+
+
+// Point-polygon , where point-segment strategy is specified
+template <typename Point, typename Polygon, typename Strategy>
+struct distance
+<
+    point_tag, polygon_tag,
+    Point, Polygon,
+    strategy_tag_distance_point_point, Strategy
+>
+{
+    typedef typename return_type<Strategy>::type return_type;
+
+    static inline return_type apply(Point const& point,
+            Polygon const& polygon,
+            Strategy const& strategy)
+    {
+        typedef typename strategy::distance::services::default_strategy
+            <
+                segment_tag,
+                Point,
+                typename point_type<Polygon>::type
+            >::type ps_strategy_type;
+
+        std::pair<return_type, bool>
+            dc = detail::distance::point_to_polygon
+            <
+                Point, Polygon,
+                geometry::closure<Polygon>::value,
+                Strategy, ps_strategy_type
+            >::apply(point, polygon, strategy, ps_strategy_type());
+
+        return dc.second ? return_type(0) : dc.first;
+    }
+};
+
+
+
+// Point-segment version 1, with point-point strategy
+template <typename Point, typename Segment, typename Strategy>
+struct distance
+<
+    point_tag, segment_tag,
+    Point, Segment,
+    strategy_tag_distance_point_point, Strategy
+> : detail::distance::point_to_segment<Point, Segment, Strategy>
+{};
+
+// Point-segment version 2, with point-segment strategy
+template <typename Point, typename Segment, typename Strategy>
+struct distance
+<
+    point_tag, segment_tag,
+    Point, Segment,
+    strategy_tag_distance_point_segment, Strategy
+>
+{
+    static inline typename return_type<Strategy>::type apply(Point const& point,
+                Segment const& segment, Strategy const& strategy)
+    {
+        
+        typename point_type<Segment>::type p[2];
+        geometry::detail::assign_point_from_index<0>(segment, p[0]);
+        geometry::detail::assign_point_from_index<1>(segment, p[1]);
+        return strategy.apply(point, p[0], p[1]);
+    }
+};
+
+
+
+// Strictly spoken this might be in namespace <impl> again
+template
+<
+    typename GeometryTag1, typename GeometryTag2,
+    typename G1, typename G2,
+    typename StrategyTag, typename Strategy
+>
+struct distance_reversed
+{
+    static inline typename return_type<Strategy>::type apply(G1 const& g1,
+                G2 const& g2, Strategy const& strategy)
+    {
+        return distance
+            <
+                GeometryTag2, GeometryTag1,
+                G2, G1,
+                StrategyTag, Strategy
+            >::apply(g2, g1, strategy);
+    }
+};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+/*!
+\brief \brief_calc2{distance} \brief_strategy
+\ingroup distance
+\details
+\details \details_calc{area}. \brief_strategy. \details_strategy_reasons
+
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Strategy \tparam_strategy{Distance}
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param strategy \param_strategy{distance}
+\return \return_calc{distance}
+\note The strategy can be a point-point strategy. In case of distance point-line/point-polygon
+    it may also be a point-segment strategy.
+
+\qbk{distinguish,with strategy}
+
+\qbk{
+[heading Available Strategies]
+\* [link geometry.reference.strategies.strategy_distance_pythagoras Pythagoras (cartesian)]
+\* [link geometry.reference.strategies.strategy_distance_haversine Haversine (spherical)]
+\* [link geometry.reference.strategies.strategy_distance_cross_track Cross track (spherical\, point-to-segment)]
+\* [link geometry.reference.strategies.strategy_distance_projected_point Projected point (cartesian\, point-to-segment)]
+\* more (currently extensions): Vincenty\, Andoyer (geographic)
+}
+ */
+
+/*
+Note, in case of a Compilation Error:
+if you get:
+ - "Failed to specialize function template ..."
+ - "error: no matching function for call to ..."
+for distance, it is probably so that there is no specialization
+for return_type<...> for your strategy.
+*/
+template <typename Geometry1, typename Geometry2, typename Strategy>
+inline typename strategy::distance::services::return_type<Strategy>::type distance(
+                Geometry1 const& geometry1,
+                Geometry2 const& geometry2, Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    return boost::mpl::if_
+        <
+            typename geometry::reverse_dispatch<Geometry1, Geometry2>::type,
+            dispatch::distance_reversed
+                <
+                    typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+                    typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+                    Geometry1,
+                    Geometry2,
+                    typename strategy::distance::services::tag<Strategy>::type,
+                    Strategy
+                >,
+                dispatch::distance
+                <
+                    typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+                    typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+                    Geometry1,
+                    Geometry2,
+                    typename strategy::distance::services::tag<Strategy>::type,
+                    Strategy
+                >
+        >::type::apply(geometry1, geometry2, strategy);
+}
+
+
+/*!
+\brief \brief_calc2{distance}
+\ingroup distance
+\details The default strategy is used, corresponding to the coordinate system of the geometries
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return \return_calc{distance}
+
+\qbk{[include reference/algorithms/distance.qbk]}
+ */
+template <typename Geometry1, typename Geometry2>
+inline typename default_distance_result<Geometry1, Geometry2>::type distance(
+                Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef typename point_type<Geometry1>::type point1_type;
+    typedef typename point_type<Geometry2>::type point2_type;
+
+    // Define a point-point-distance-strategy
+    // for either the normal case, either the reversed case
+    typedef typename boost::mpl::if_c
+        <
+            geometry::reverse_dispatch<Geometry1, Geometry2>::type::value,
+            typename strategy::distance::services::default_strategy
+                <
+                    point_tag,
+                    point2_type,
+                    point1_type
+                >::type,
+            typename strategy::distance::services::default_strategy
+                <
+                    point_tag,
+                    point1_type,
+                    point2_type
+                >::type
+        >::type strategy;
+
+    return distance(geometry1, geometry2, strategy());
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DISTANCE_HPP

test/external/boost/geometry/algorithms/envelope.hpp

@@ -0,0 +1,279 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_ENVELOPE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_ENVELOPE_HPP
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/numeric/conversion/cast.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace envelope
+{
+
+
+/// Calculate envelope of an 2D or 3D segment
+template<typename Geometry, typename Box>
+struct envelope_expand_one
+{
+    static inline void apply(Geometry const& geometry, Box& mbr)
+    {
+        assign_inverse(mbr);
+        geometry::expand(mbr, geometry);
+    }
+};
+
+
+/// Iterate through range (also used in multi*)
+template<typename Range, typename Box>
+inline void envelope_range_additional(Range const& range, Box& mbr)
+{
+    typedef typename boost::range_iterator<Range const>::type iterator_type;
+
+    for (iterator_type it = boost::begin(range);
+        it != boost::end(range);
+        ++it)
+    {
+        geometry::expand(mbr, *it);
+    }
+}
+
+
+
+/// Generic range dispatching struct
+template <typename Range, typename Box>
+struct envelope_range
+{
+    /// Calculate envelope of range using a strategy
+    static inline void apply(Range const& range, Box& mbr)
+    {
+        assign_inverse(mbr);
+        envelope_range_additional(range, mbr);
+    }
+};
+
+}} // namespace detail::envelope
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+// Note, the strategy is for future use (less/greater -> compare spherical
+// using other methods), defaults are OK for now.
+// However, they are already in the template methods
+
+template
+<
+    typename Tag1, typename Tag2,
+    typename Geometry, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+
+template
+<
+    typename Point, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        point_tag, box_tag,
+        Point, Box,
+        StrategyLess, StrategyGreater
+    >
+    : detail::envelope::envelope_expand_one<Point, Box>
+{};
+
+
+template
+<
+    typename BoxIn, typename BoxOut,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        box_tag, box_tag,
+        BoxIn, BoxOut,
+        StrategyLess, StrategyGreater
+    >
+    : detail::envelope::envelope_expand_one<BoxIn, BoxOut>
+{};
+
+
+template
+<
+    typename Segment, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        segment_tag, box_tag,
+        Segment, Box,
+        StrategyLess, StrategyGreater
+    >
+    : detail::envelope::envelope_expand_one<Segment, Box>
+{};
+
+
+template
+<
+    typename Linestring, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        linestring_tag, box_tag,
+        Linestring, Box,
+        StrategyLess, StrategyGreater
+    >
+    : detail::envelope::envelope_range<Linestring, Box>
+{};
+
+
+template
+<
+    typename Ring, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        ring_tag, box_tag,
+        Ring, Box,
+        StrategyLess, StrategyGreater
+    >
+    : detail::envelope::envelope_range<Ring, Box>
+{};
+
+
+template
+<
+    typename Polygon, typename Box,
+    typename StrategyLess, typename StrategyGreater
+>
+struct envelope
+    <
+        polygon_tag, box_tag,
+        Polygon, Box,
+        StrategyLess, StrategyGreater
+    >
+{
+    static inline void apply(Polygon const& poly, Box& mbr)
+    {
+        // For polygon, inspecting outer ring is sufficient
+
+        detail::envelope::envelope_range
+            <
+                typename ring_type<Polygon>::type,
+                Box
+            >::apply(exterior_ring(poly), mbr);
+    }
+
+};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief \brief_calc{envelope}
+\ingroup envelope
+\details \details_calc{envelope,\det_envelope}.
+\tparam Geometry \tparam_geometry
+\tparam Box \tparam_box
+\param geometry \param_geometry
+\param mbr \param_box \param_set{envelope}
+
+\par Example:
+Example showing envelope calculation, using point_ll latlong points
+\dontinclude doxygen_1.cpp
+\skip example_envelope_polygon
+\line {
+\until }
+
+
+\qbk{
+[heading Example]
+[envelope] [envelope_output]
+}
+*/
+template<typename Geometry, typename Box>
+inline void envelope(Geometry const& geometry, Box& mbr)
+{
+    concept::check<Geometry const>();
+    concept::check<Box>();
+
+    dispatch::envelope
+        <
+            typename tag<Geometry>::type, typename tag<Box>::type,
+            Geometry, Box,
+            void, void
+        >::apply(geometry, mbr);
+}
+
+
+/*!
+\brief \brief_calc{envelope}
+\ingroup envelope
+\details \details_calc{return_envelope,\det_envelope}. \details_return{envelope}
+\tparam Box \tparam_box
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{envelope}
+
+\qbk{
+[heading Example]
+[return_envelope] [return_envelope_output]
+}
+*/
+template<typename Box, typename Geometry>
+inline Box return_envelope(Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+    concept::check<Box>();
+
+    Box mbr;
+    dispatch::envelope
+        <
+            typename tag<Geometry>::type, typename tag<Box>::type,
+            Geometry, Box,
+            void, void
+        >::apply(geometry, mbr);
+    return mbr;
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_ENVELOPE_HPP

test/external/boost/geometry/algorithms/equals.hpp

@@ -0,0 +1,319 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_EQUALS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_EQUALS_HPP
+
+
+#include <cstddef>
+#include <vector>
+
+#include <boost/mpl/if.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/detail/disjoint.hpp>
+#include <boost/geometry/algorithms/detail/not.hpp>
+
+// For trivial checks
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/length.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+#include <boost/geometry/algorithms/detail/equals/collect_vectors.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace equals
+{
+
+
+template
+<
+    typename Box1,
+    typename Box2,
+    std::size_t Dimension,
+    std::size_t DimensionCount
+>
+struct box_box
+{
+    static inline bool apply(Box1 const& box1, Box2 const& box2)
+    {
+        if (!geometry::math::equals(get<min_corner, Dimension>(box1), get<min_corner, Dimension>(box2))
+            || !geometry::math::equals(get<max_corner, Dimension>(box1), get<max_corner, Dimension>(box2)))
+        {
+            return false;
+        }
+        return box_box<Box1, Box2, Dimension + 1, DimensionCount>::apply(box1, box2);
+    }
+};
+
+template <typename Box1, typename Box2, std::size_t DimensionCount>
+struct box_box<Box1, Box2, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Box1 const& , Box2 const& )
+    {
+        return true;
+    }
+};
+
+
+struct area_check
+{
+    template <typename Geometry1, typename Geometry2>
+    static inline bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2)
+    {
+        return geometry::math::equals(
+                geometry::area(geometry1),
+                geometry::area(geometry2));
+    }
+};
+
+
+struct length_check
+{
+    template <typename Geometry1, typename Geometry2>
+    static inline bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2)
+    {
+        return geometry::math::equals(
+                geometry::length(geometry1),
+                geometry::length(geometry2));
+    }
+};
+
+
+template <typename Geometry1, typename Geometry2, typename TrivialCheck>
+struct equals_by_collection
+{
+    static inline bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2)
+    {
+        if (! TrivialCheck::apply(geometry1, geometry2))
+        {
+            return false;
+        }
+
+        typedef typename geometry::select_most_precise
+            <
+                typename select_coordinate_type
+                    <
+                        Geometry1, Geometry2
+                    >::type,
+                double
+            >::type calculation_type;
+
+        typedef std::vector<collected_vector<calculation_type> > v;
+        v c1, c2;
+
+        geometry::collect_vectors(c1, geometry1);
+        geometry::collect_vectors(c2, geometry2);
+
+        if (boost::size(c1) != boost::size(c2))
+        {
+            return false;
+        }
+
+        std::sort(c1.begin(), c1.end());
+        std::sort(c2.begin(), c2.end());
+
+        // Just check if these vectors are equal.
+        return std::equal(c1.begin(), c1.end(), c2.begin());
+    }
+};
+
+
+}} // namespace detail::equals
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag1, typename Tag2,
+    typename Geometry1,
+    typename Geometry2,
+    std::size_t DimensionCount
+>
+struct equals
+{};
+
+
+template <typename P1, typename P2, std::size_t DimensionCount>
+struct equals<point_tag, point_tag, P1, P2, DimensionCount>
+    : geometry::detail::not_
+        <
+            P1,
+            P2,
+            detail::disjoint::point_point<P1, P2, 0, DimensionCount>
+        >
+{};
+
+
+template <typename Box1, typename Box2, std::size_t DimensionCount>
+struct equals<box_tag, box_tag, Box1, Box2, DimensionCount>
+    : detail::equals::box_box<Box1, Box2, 0, DimensionCount>
+{};
+
+
+template <typename Ring1, typename Ring2>
+struct equals<ring_tag, ring_tag, Ring1, Ring2, 2>
+    : detail::equals::equals_by_collection
+        <
+            Ring1, Ring2,
+            detail::equals::area_check
+        >
+{};
+
+
+template <typename Polygon1, typename Polygon2>
+struct equals<polygon_tag, polygon_tag, Polygon1, Polygon2, 2>
+    : detail::equals::equals_by_collection
+        <
+            Polygon1, Polygon2,
+            detail::equals::area_check
+        >
+{};
+
+
+template <typename LineString1, typename LineString2>
+struct equals<linestring_tag, linestring_tag, LineString1, LineString2, 2>
+    : detail::equals::equals_by_collection
+        <
+            LineString1, LineString2,
+            detail::equals::length_check
+        >
+{};
+
+
+template <typename Polygon, typename Ring>
+struct equals<polygon_tag, ring_tag, Polygon, Ring, 2>
+    : detail::equals::equals_by_collection
+        <
+            Polygon, Ring,
+            detail::equals::area_check
+        >
+{};
+
+
+template <typename Ring, typename Box>
+struct equals<ring_tag, box_tag, Ring, Box, 2>
+    : detail::equals::equals_by_collection
+        <
+            Ring, Box,
+            detail::equals::area_check
+        >
+{};
+
+
+template <typename Polygon, typename Box>
+struct equals<polygon_tag, box_tag, Polygon, Box, 2>
+    : detail::equals::equals_by_collection
+        <
+            Polygon, Box,
+            detail::equals::area_check
+        >
+{};
+
+
+template
+<
+    typename Tag1, typename Tag2,
+    typename Geometry1,
+    typename Geometry2,
+    std::size_t DimensionCount
+>
+struct equals_reversed
+{
+    static inline bool apply(Geometry1 const& g1, Geometry2 const& g2)
+    {
+        return equals
+            <
+                Tag2, Tag1,
+                Geometry2, Geometry1,
+                DimensionCount
+            >::apply(g2, g1);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_check{are spatially equal}
+\details \details_check12{equals, is spatially equal}. Spatially equal means 
+    that the same point set is included. A box can therefore be spatially equal
+    to a ring or a polygon, or a linestring can be spatially equal to a 
+    multi-linestring or a segment. This only theoretically, not all combinations
+    are implemented yet.
+\ingroup equals
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return \return_check2{are spatially equal}
+
+\qbk{[include reference/algorithms/equals.qbk]}
+
+ */
+template <typename Geometry1, typename Geometry2>
+inline bool equals(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check_concepts_and_equal_dimensions
+        <
+            Geometry1 const,
+            Geometry2 const
+        >();
+
+    return boost::mpl::if_c
+        <
+            reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::equals_reversed
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1,
+                Geometry2,
+                dimension<Geometry1>::type::value
+            >,
+            dispatch::equals
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                Geometry1,
+                Geometry2,
+                dimension<Geometry1>::type::value
+            >
+        >::type::apply(geometry1, geometry2);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_EQUALS_HPP
+

test/external/boost/geometry/algorithms/expand.hpp

@@ -0,0 +1,319 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_EXPAND_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_EXPAND_HPP
+
+
+#include <cstddef>
+
+#include <boost/numeric/conversion/cast.hpp>
+
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+#include <boost/geometry/strategies/compare.hpp>
+#include <boost/geometry/policies/compare.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace expand
+{
+
+
+template
+<
+    typename Box, typename Point,
+    typename StrategyLess, typename StrategyGreater,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct point_loop
+{
+    typedef typename strategy::compare::detail::select_strategy
+        <
+            StrategyLess, 1, Point, Dimension
+        >::type less_type;
+
+    typedef typename strategy::compare::detail::select_strategy
+        <
+            StrategyGreater, -1, Point, Dimension
+        >::type greater_type;
+
+    typedef typename select_coordinate_type<Point, Box>::type coordinate_type;
+
+    static inline void apply(Box& box, Point const& source)
+    {
+        less_type less;
+        greater_type greater;
+
+        coordinate_type const coord = get<Dimension>(source);
+
+        if (less(coord, get<min_corner, Dimension>(box)))
+        {
+            set<min_corner, Dimension>(box, coord);
+        }
+
+        if (greater(coord, get<max_corner, Dimension>(box)))
+        {
+            set<max_corner, Dimension>(box, coord);
+        }
+
+        point_loop
+            <
+                Box, Point,
+                StrategyLess, StrategyGreater,
+                Dimension + 1, DimensionCount
+            >::apply(box, source);
+    }
+};
+
+
+template
+<
+    typename Box, typename Point,
+    typename StrategyLess, typename StrategyGreater,
+    std::size_t DimensionCount
+>
+struct point_loop
+    <
+        Box, Point,
+        StrategyLess, StrategyGreater,
+        DimensionCount, DimensionCount
+    >
+{
+    static inline void apply(Box&, Point const&) {}
+};
+
+
+template
+<
+    typename Box, typename Geometry,
+    typename StrategyLess, typename StrategyGreater,
+    std::size_t Index,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct indexed_loop
+{
+    typedef typename strategy::compare::detail::select_strategy
+        <
+            StrategyLess, 1, Box, Dimension
+        >::type less_type;
+
+    typedef typename strategy::compare::detail::select_strategy
+        <
+            StrategyGreater, -1, Box, Dimension
+        >::type greater_type;
+
+    typedef typename select_coordinate_type
+            <
+                Box,
+                Geometry
+            >::type coordinate_type;
+
+
+    static inline void apply(Box& box, Geometry const& source)
+    {
+        less_type less;
+        greater_type greater;
+
+        coordinate_type const coord = get<Index, Dimension>(source);
+
+        if (less(coord, get<min_corner, Dimension>(box)))
+        {
+            set<min_corner, Dimension>(box, coord);
+        }
+
+        if (greater(coord, get<max_corner, Dimension>(box)))
+        {
+            set<max_corner, Dimension>(box, coord);
+        }
+
+        indexed_loop
+            <
+                Box, Geometry,
+                StrategyLess, StrategyGreater,
+                Index, Dimension + 1, DimensionCount
+            >::apply(box, source);
+    }
+};
+
+
+template
+<
+    typename Box, typename Geometry,
+    typename StrategyLess, typename StrategyGreater,
+    std::size_t Index, std::size_t DimensionCount
+>
+struct indexed_loop
+    <
+        Box, Geometry,
+        StrategyLess, StrategyGreater,
+        Index, DimensionCount, DimensionCount
+    >
+{
+    static inline void apply(Box&, Geometry const&) {}
+};
+
+
+
+// Changes a box such that the other box is also contained by the box
+template
+<
+    typename Box, typename Geometry,
+    typename StrategyLess, typename StrategyGreater
+>
+struct expand_indexed
+{
+    static inline void apply(Box& box, Geometry const& geometry)
+    {
+        indexed_loop
+            <
+                Box, Geometry,
+                StrategyLess, StrategyGreater,
+                0, 0, dimension<Geometry>::type::value
+            >::apply(box, geometry);
+
+        indexed_loop
+            <
+                Box, Geometry,
+                StrategyLess, StrategyGreater,
+                1, 0, dimension<Geometry>::type::value
+            >::apply(box, geometry);
+    }
+};
+
+}} // namespace detail::expand
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag,
+    typename BoxOut, typename Geometry,
+    typename StrategyLess, typename StrategyGreater
+>
+struct expand
+{};
+
+
+// Box + point -> new box containing also point
+template
+<
+    typename BoxOut, typename Point,
+    typename StrategyLess, typename StrategyGreater
+>
+struct expand<point_tag, BoxOut, Point, StrategyLess, StrategyGreater>
+    : detail::expand::point_loop
+        <
+            BoxOut, Point,
+            StrategyLess, StrategyGreater,
+            0, dimension<Point>::type::value
+        >
+{};
+
+
+// Box + box -> new box containing two input boxes
+template
+<
+    typename BoxOut, typename BoxIn,
+    typename StrategyLess, typename StrategyGreater
+>
+struct expand<box_tag, BoxOut, BoxIn, StrategyLess, StrategyGreater>
+    : detail::expand::expand_indexed
+        <BoxOut, BoxIn, StrategyLess, StrategyGreater>
+{};
+
+template
+<
+    typename Box, typename Segment,
+    typename StrategyLess, typename StrategyGreater
+>
+struct expand<segment_tag, Box, Segment, StrategyLess, StrategyGreater>
+    : detail::expand::expand_indexed
+        <Box, Segment, StrategyLess, StrategyGreater>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/***
+*!
+\brief Expands a box using the extend (envelope) of another geometry (box, point)
+\ingroup expand
+\tparam Box type of the box
+\tparam Geometry of second geometry, to be expanded with the box
+\param box box to expand another geometry with, might be changed
+\param geometry other geometry
+\param strategy_less
+\param strategy_greater
+\note Strategy is currently ignored
+ *
+template
+<
+    typename Box, typename Geometry,
+    typename StrategyLess, typename StrategyGreater
+>
+inline void expand(Box& box, Geometry const& geometry,
+            StrategyLess const& strategy_less,
+            StrategyGreater const& strategy_greater)
+{
+    concept::check_concepts_and_equal_dimensions<Box, Geometry const>();
+
+    dispatch::expand
+        <
+            typename tag<Geometry>::type,
+            Box,
+            Geometry,
+            StrategyLess, StrategyGreater
+        >::apply(box, geometry);
+}
+***/
+
+
+/*!
+\brief Expands a box using the bounding box (envelope) of another geometry (box, point)
+\ingroup expand
+\tparam Box type of the box
+\tparam Geometry \tparam_geometry
+\param box box to be expanded using another geometry, mutable
+\param geometry \param_geometry geometry which envelope (bounding box) will be added to the box
+
+\qbk{[include reference/algorithms/expand.qbk]}
+ */
+template <typename Box, typename Geometry>
+inline void expand(Box& box, Geometry const& geometry)
+{
+    concept::check_concepts_and_equal_dimensions<Box, Geometry const>();
+
+    dispatch::expand
+        <
+            typename tag<Geometry>::type,
+            Box, Geometry,
+            strategy::compare::default_strategy,
+            strategy::compare::default_strategy
+        >::apply(box, geometry);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_EXPAND_HPP

test/external/boost/geometry/algorithms/for_each.hpp

@@ -0,0 +1,351 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_FOR_EACH_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_FOR_EACH_HPP
+
+
+#include <algorithm>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/geometries/segment.hpp>
+
+#include <boost/geometry/util/add_const_if_c.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace for_each
+{
+
+
+template <typename Point, typename Functor, bool IsConst>
+struct fe_point_per_point
+{
+    static inline Functor apply(
+                typename add_const_if_c<IsConst, Point>::type& point, Functor f)
+    {
+        f(point);
+        return f;
+    }
+};
+
+
+template <typename Point, typename Functor, bool IsConst>
+struct fe_point_per_segment
+{
+    static inline Functor apply(
+                typename add_const_if_c<IsConst, Point>::type& point, Functor f)
+    {
+        return f;
+    }
+};
+
+
+template <typename Range, typename Functor, bool IsConst>
+struct fe_range_per_point
+{
+    static inline Functor apply(
+                    typename add_const_if_c<IsConst, Range>::type& range,
+                    Functor f)
+    {
+        return (std::for_each(boost::begin(range), boost::end(range), f));
+    }
+};
+
+
+template <typename Range, typename Functor, bool IsConst>
+struct fe_range_per_segment
+{
+    static inline Functor apply(
+                typename add_const_if_c<IsConst, Range>::type& range,
+                Functor f)
+    {
+        typedef typename add_const_if_c
+            <
+                IsConst,
+                typename point_type<Range>::type
+            >::type point_type;
+
+        BOOST_AUTO_TPL(it, boost::begin(range));
+        BOOST_AUTO_TPL(previous, it++);
+        while(it != boost::end(range))
+        {
+            model::referring_segment<point_type> s(*previous, *it);
+            f(s);
+            previous = it++;
+        }
+
+        return f;
+    }
+};
+
+
+template <typename Polygon, typename Functor, bool IsConst>
+struct fe_polygon_per_point
+{
+    typedef typename add_const_if_c<IsConst, Polygon>::type poly_type;
+
+    static inline Functor apply(poly_type& poly, Functor f)
+    {
+        typedef fe_range_per_point
+                <
+                    typename ring_type<Polygon>::type,
+                    Functor,
+                    IsConst
+                > per_ring;
+
+        f = per_ring::apply(exterior_ring(poly), f);
+
+        typename interior_return_type<poly_type>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            f = per_ring::apply(*it, f);
+        }
+
+        return f;
+    }
+
+};
+
+
+template <typename Polygon, typename Functor, bool IsConst>
+struct fe_polygon_per_segment
+{
+    typedef typename add_const_if_c<IsConst, Polygon>::type poly_type;
+
+    static inline Functor apply(poly_type& poly, Functor f)
+    {
+        typedef fe_range_per_segment
+            <
+                typename ring_type<Polygon>::type,
+                Functor,
+                IsConst
+            > per_ring;
+
+        f = per_ring::apply(exterior_ring(poly), f);
+
+        typename interior_return_type<poly_type>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            f = per_ring::apply(*it, f);
+        }
+
+        return f;
+    }
+
+};
+
+
+}} // namespace detail::for_each
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename Functor,
+    bool IsConst
+>
+struct for_each_point {};
+
+
+template <typename Point, typename Functor, bool IsConst>
+struct for_each_point<point_tag, Point, Functor, IsConst>
+    : detail::for_each::fe_point_per_point<Point, Functor, IsConst>
+{};
+
+
+template <typename Linestring, typename Functor, bool IsConst>
+struct for_each_point<linestring_tag, Linestring, Functor, IsConst>
+    : detail::for_each::fe_range_per_point<Linestring, Functor, IsConst>
+{};
+
+
+template <typename Ring, typename Functor, bool IsConst>
+struct for_each_point<ring_tag, Ring, Functor, IsConst>
+    : detail::for_each::fe_range_per_point<Ring, Functor, IsConst>
+{};
+
+
+template <typename Polygon, typename Functor, bool IsConst>
+struct for_each_point<polygon_tag, Polygon, Functor, IsConst>
+    : detail::for_each::fe_polygon_per_point<Polygon, Functor, IsConst>
+{};
+
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename Functor,
+    bool IsConst
+>
+struct for_each_segment {};
+
+template <typename Point, typename Functor, bool IsConst>
+struct for_each_segment<point_tag, Point, Functor, IsConst>
+    : detail::for_each::fe_point_per_segment<Point, Functor, IsConst>
+{};
+
+
+template <typename Linestring, typename Functor, bool IsConst>
+struct for_each_segment<linestring_tag, Linestring, Functor, IsConst>
+    : detail::for_each::fe_range_per_segment<Linestring, Functor, IsConst>
+{};
+
+
+template <typename Ring, typename Functor, bool IsConst>
+struct for_each_segment<ring_tag, Ring, Functor, IsConst>
+    : detail::for_each::fe_range_per_segment<Ring, Functor, IsConst>
+{};
+
+
+template <typename Polygon, typename Functor, bool IsConst>
+struct for_each_segment<polygon_tag, Polygon, Functor, IsConst>
+    : detail::for_each::fe_polygon_per_segment<Polygon, Functor, IsConst>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brf_for_each{point}
+\details \det_for_each{point}
+\ingroup for_each
+\param geometry \param_geometry
+\param f \par_for_each_f{const point}
+\tparam Geometry \tparam_geometry
+\tparam Functor \tparam_functor
+
+\qbk{distinguish,const version}
+\qbk{[heading Example]}
+\qbk{[for_each_point_const] [for_each_point_const_output]}
+*/
+template<typename Geometry, typename Functor>
+inline Functor for_each_point(Geometry const& geometry, Functor f)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::for_each_point
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry,
+            Functor,
+            true
+        >::apply(geometry, f);
+}
+
+
+/*!
+\brief \brf_for_each{point}
+\details \det_for_each{point}
+\ingroup for_each
+\param geometry \param_geometry
+\param f \par_for_each_f{point}
+\tparam Geometry \tparam_geometry
+\tparam Functor \tparam_functor
+
+\qbk{[heading Example]}
+\qbk{[for_each_point] [for_each_point_output]}
+*/
+template<typename Geometry, typename Functor>
+inline Functor for_each_point(Geometry& geometry, Functor f)
+{
+    concept::check<Geometry>();
+
+    return dispatch::for_each_point
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry,
+            Functor,
+            false
+        >::apply(geometry, f);
+}
+
+
+/*!
+\brief \brf_for_each{segment}
+\details \det_for_each{segment}
+\ingroup for_each
+\param geometry \param_geometry
+\param f \par_for_each_f{const segment}
+\tparam Geometry \tparam_geometry
+\tparam Functor \tparam_functor
+
+\qbk{distinguish,const version}
+\qbk{[heading Example]}
+\qbk{[for_each_segment_const] [for_each_segment_const_output]}
+*/
+template<typename Geometry, typename Functor>
+inline Functor for_each_segment(Geometry const& geometry, Functor f)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::for_each_segment
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry,
+            Functor,
+            true
+        >::apply(geometry, f);
+}
+
+
+/*!
+\brief \brf_for_each{segment}
+\details \det_for_each{segment}
+\ingroup for_each
+\param geometry \param_geometry
+\param f \par_for_each_f{segment}
+\tparam Geometry \tparam_geometry
+\tparam Functor \tparam_functor
+*/
+template<typename Geometry, typename Functor>
+inline Functor for_each_segment(Geometry& geometry, Functor f)
+{
+    concept::check<Geometry>();
+
+    return dispatch::for_each_segment
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry,
+            Functor,
+            false
+        >::apply(geometry, f);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_FOR_EACH_HPP

test/external/boost/geometry/algorithms/intersection.hpp

@@ -0,0 +1,237 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_INTERSECTION_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_INTERSECTION_HPP
+
+
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/algorithms/detail/overlay/intersection_insert.hpp>
+#include <boost/geometry/algorithms/intersects.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace intersection
+{
+
+template
+<
+    typename Box1, typename Box2,
+    typename BoxOut,
+    typename Strategy,
+    std::size_t Dimension, std::size_t DimensionCount
+>
+struct intersection_box_box
+{
+    static inline bool apply(Box1 const& box1,
+            Box2 const& box2, BoxOut& box_out,
+            Strategy const& strategy)
+    {
+        typedef typename coordinate_type<BoxOut>::type ct;
+
+        ct min1 = get<min_corner, Dimension>(box1);
+        ct min2 = get<min_corner, Dimension>(box2);
+        ct max1 = get<max_corner, Dimension>(box1);
+        ct max2 = get<max_corner, Dimension>(box2);
+
+        if (max1 < min2 || max2 < min1)
+        {
+            return false;
+        }
+        // Set dimensions of output coordinate
+        set<min_corner, Dimension>(box_out, min1 < min2 ? min2 : min1);
+        set<max_corner, Dimension>(box_out, max1 > max2 ? max2 : max1);
+
+        return intersection_box_box
+            <
+                Box1, Box2, BoxOut, Strategy,
+                Dimension + 1, DimensionCount
+            >::apply(box1, box2, box_out, strategy);
+    }
+};
+
+template
+<
+    typename Box1, typename Box2,
+    typename BoxOut,
+    typename Strategy,
+    std::size_t DimensionCount
+>
+struct intersection_box_box<Box1, Box2, BoxOut, Strategy, DimensionCount, DimensionCount>
+{
+    static inline bool apply(Box1 const&, Box2 const&, BoxOut&, Strategy const&)
+    {
+        return true;
+    }
+};
+
+
+}} // namespace detail::intersection
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// By default, all is forwarded to the intersection_insert-dispatcher
+template
+<
+    typename Tag1, typename Tag2, typename TagOut,
+    typename Geometry1, typename Geometry2,
+    typename GeometryOut,
+    typename Strategy
+>
+struct intersection
+{
+    typedef std::back_insert_iterator<GeometryOut> output_iterator;
+
+    static inline bool apply(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            GeometryOut& geometry_out,
+            Strategy const& strategy)
+    {
+        typedef typename boost::range_value<GeometryOut>::type OneOut;
+
+        intersection_insert
+        <
+            Tag1, Tag2, typename geometry::tag<OneOut>::type,
+            geometry::is_areal<Geometry1>::value,
+            geometry::is_areal<Geometry2>::value,
+            geometry::is_areal<OneOut>::value,
+            Geometry1, Geometry2,
+            detail::overlay::do_reverse<geometry::point_order<Geometry1>::value, false>::value,
+            detail::overlay::do_reverse<geometry::point_order<Geometry2>::value, false>::value,
+            detail::overlay::do_reverse<geometry::point_order<OneOut>::value>::value,
+            output_iterator, OneOut,
+            overlay_intersection,
+            Strategy
+        >::apply(geometry1, geometry2, std::back_inserter(geometry_out), strategy);
+
+        return true;
+    }
+
+};
+
+
+template
+<
+    typename Box1, typename Box2,
+    typename BoxOut,
+    typename Strategy
+>
+struct intersection
+    <
+        box_tag, box_tag, box_tag,
+        Box1, Box2, BoxOut,
+        Strategy
+    > : public detail::intersection::intersection_box_box
+            <
+                Box1, Box2, BoxOut,
+                Strategy,
+                0, geometry::dimension<Box1>::value
+            >
+{};
+
+
+template
+<
+    typename Tag1, typename Tag2, typename TagOut,
+    typename Geometry1, typename Geometry2,
+    typename GeometryOut,
+    typename Strategy
+>
+struct intersection_reversed
+{
+    static inline bool apply(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            GeometryOut& geometry_out,
+            Strategy const& strategy)
+    {
+        return intersection
+            <
+                Tag2, Tag1, TagOut,
+                Geometry2, Geometry1,
+                GeometryOut, Strategy
+            >::apply(geometry2, geometry1, geometry_out, strategy);
+    }
+};
+
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_calc2{intersection}
+\ingroup intersection
+\details \details_calc2{intersection, spatial set theoretic intersection}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam GeometryOut Collection of geometries (e.g. std::vector, std::deque, boost::geometry::multi*) of which
+    the value_type fulfills a \p_l_or_c concept, or it is the output geometry (e.g. for a box)
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param geometry_out The output geometry, either a multi_point, multi_polygon,
+    multi_linestring, or a box (for intersection of two boxes)
+
+\qbk{[include reference/algorithms/intersection.qbk]}
+*/
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename GeometryOut
+>
+inline bool intersection(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            GeometryOut& geometry_out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef strategy_intersection
+        <
+            typename cs_tag<Geometry1>::type,
+            Geometry1,
+            Geometry2,
+            typename geometry::point_type<Geometry1>::type
+        > strategy;
+
+
+    return boost::mpl::if_c
+        <
+            geometry::reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::intersection_reversed
+            <
+                    typename geometry::tag<Geometry1>::type,
+                    typename geometry::tag<Geometry2>::type,
+                    typename geometry::tag<GeometryOut>::type,
+                    Geometry1, Geometry2, GeometryOut, strategy
+            >,
+            dispatch::intersection
+            <
+                    typename geometry::tag<Geometry1>::type,
+                    typename geometry::tag<Geometry2>::type,
+                    typename geometry::tag<GeometryOut>::type,
+                    Geometry1, Geometry2, GeometryOut, strategy
+            >
+        >::type::apply(geometry1, geometry2, geometry_out, strategy());
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_INTERSECTION_HPP

test/external/boost/geometry/algorithms/intersects.hpp

@@ -0,0 +1,105 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_INTERSECTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_INTERSECTS_HPP
+
+
+#include <deque>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/algorithms/detail/overlay/self_turn_points.hpp>
+#include <boost/geometry/algorithms/disjoint.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief \brief_check{has at least one intersection (crossing or self-tangency)}
+\note This function can be called for one geometry (self-intersection) and
+    also for two geometries (intersection)
+\ingroup intersects
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_check{is self-intersecting}
+
+\qbk{distinguish,one geometry}
+\qbk{[include reference/algorithms/intersects.qbk]}
+*/
+template <typename Geometry>
+inline bool intersects(Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+
+    typedef detail::overlay::turn_info
+        <
+            typename geometry::point_type<Geometry>::type
+        > turn_info;
+    std::deque<turn_info> turns;
+
+    typedef typename strategy_intersection
+        <
+            typename cs_tag<Geometry>::type,
+            Geometry,
+            Geometry,
+            typename geometry::point_type<Geometry>::type
+        >::segment_intersection_strategy_type segment_intersection_strategy_type;
+
+    typedef detail::overlay::get_turn_info
+        <
+            typename point_type<Geometry>::type,
+            typename point_type<Geometry>::type,
+            turn_info,
+            detail::overlay::assign_null_policy
+        > TurnPolicy;
+
+    detail::disjoint::disjoint_interrupt_policy policy;
+    detail::self_get_turn_points::get_turns
+            <
+                Geometry,
+                std::deque<turn_info>,
+                TurnPolicy,
+                detail::disjoint::disjoint_interrupt_policy
+            >::apply(geometry, turns, policy);
+    return policy.has_intersections;
+}
+
+
+/*!
+\brief \brief_check2{have at least one intersection}
+\ingroup intersects
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return \return_check2{intersect each other}
+
+\qbk{distinguish,two geometries}
+\qbk{[include reference/algorithms/intersects.qbk]}
+ */
+template <typename Geometry1, typename Geometry2>
+inline bool intersects(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    return ! geometry::disjoint(geometry1, geometry2);
+}
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_INTERSECTS_HPP

test/external/boost/geometry/algorithms/length.hpp

@@ -0,0 +1,199 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_LENGTH_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_LENGTH_HPP
+
+#include <iterator>
+
+#include <boost/range.hpp>
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/closure.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/detail/calculate_null.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/default_length_result.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace length
+{
+
+
+template<typename Segment, typename Strategy>
+struct segment_length
+{
+    static inline typename default_length_result<Segment>::type apply(
+            Segment const& segment, Strategy const& strategy)
+    {
+        typedef typename point_type<Segment>::type point_type;
+        point_type p1, p2;
+        geometry::detail::assign_point_from_index<0>(segment, p1);
+        geometry::detail::assign_point_from_index<1>(segment, p2);
+        return strategy.apply(p1, p2);
+    }
+};
+
+/*!
+\brief Internal, calculates length of a linestring using iterator pairs and
+    specified strategy
+\note for_each could be used here, now that point_type is changed by boost
+    range iterator
+*/
+template<typename Range, typename Strategy, closure_selector Closure>
+struct range_length
+{
+    typedef typename default_length_result<Range>::type return_type;
+
+    static inline return_type apply(
+            Range const& range, Strategy const& strategy)
+    {
+        typedef typename closeable_view<Range const, Closure>::type view_type;
+        typedef typename boost::range_iterator
+            <
+                view_type const
+            >::type iterator_type;
+
+        return_type sum = return_type();
+        view_type view(range);
+        iterator_type it = boost::begin(view), end = boost::end(view);
+        if(it != end)
+        {
+            for(iterator_type previous = it++;
+                    it != end;
+                    ++previous, ++it)
+            {
+                // Add point-point distance using the return type belonging
+                // to strategy
+                sum += strategy.apply(*previous, *it);
+            }
+        }
+
+        return sum;
+    }
+};
+
+
+}} // namespace detail::length
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Tag, typename Geometry, typename Strategy>
+struct length : detail::calculate_null
+    <
+        typename default_length_result<Geometry>::type,
+        Geometry,
+        Strategy
+    >
+{};
+
+
+template <typename Geometry, typename Strategy>
+struct length<linestring_tag, Geometry, Strategy>
+    : detail::length::range_length<Geometry, Strategy, closed>
+{};
+
+
+// RING: length is currently 0; it might be argued that it is the "perimeter"
+
+
+template <typename Geometry, typename Strategy>
+struct length<segment_tag, Geometry, Strategy>
+    : detail::length::segment_length<Geometry, Strategy>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_calc{length}
+\ingroup length
+\details \details_calc{length, length (the sum of distances between consecutive points)}. \details_default_strategy
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{length}
+
+\qbk{[include reference/algorithms/length.qbk]}
+\qbk{[length] [length_output]}
+ */
+template<typename Geometry>
+inline typename default_length_result<Geometry>::type length(
+        Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+    typedef typename strategy::distance::services::default_strategy
+        <
+            point_tag, typename point_type<Geometry>::type
+        >::type strategy_type;
+
+    return dispatch::length
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            strategy_type
+        >::apply(geometry, strategy_type());
+}
+
+
+/*!
+\brief \brief_calc{length} \brief_strategy
+\ingroup length
+\details \details_calc{length, length (the sum of distances between consecutive points)} \brief_strategy. \details_strategy_reasons
+\tparam Geometry \tparam_geometry
+\tparam Strategy \tparam_strategy{distance}
+\param geometry \param_geometry
+\param strategy \param_strategy{distance}
+\return \return_calc{length}
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/length.qbk]}
+\qbk{[length_with_strategy] [length_with_strategy_output]}
+ */
+template<typename Geometry, typename Strategy>
+inline typename default_length_result<Geometry>::type length(
+        Geometry const& geometry, Strategy const& strategy)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::length
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Strategy
+        >::apply(geometry, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_LENGTH_HPP

test/external/boost/geometry/algorithms/make.hpp

@@ -0,0 +1,200 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_MAKE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_MAKE_HPP
+
+#include <boost/geometry/algorithms/assign.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace make
+{
+
+/*!
+\brief Construct a geometry
+\ingroup make
+\tparam Geometry \tparam_geometry
+\tparam Range \tparam_range_point
+\param range \param_range_point
+\return The constructed geometry, here: a linestring or a ring
+
+\qbk{distinguish, with a range}
+\qbk{
+[heading Example]
+[make_with_range] [make_with_range_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.assign.assign_points assign]
+}
+ */
+template <typename Geometry, typename Range>
+inline Geometry make_points(Range const& range)
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    geometry::append(geometry, range);
+    return geometry;
+}
+
+}} // namespace detail::make
+#endif // DOXYGEN_NO_DETAIL
+
+/*!
+\brief Construct a geometry
+\ingroup make
+\details
+\note It does not work with array-point types, like int[2]
+\tparam Geometry \tparam_geometry
+\tparam Type \tparam_numeric to specify the coordinates
+\param c1 \param_x
+\param c2 \param_y
+\return The constructed geometry, here: a 2D point
+
+\qbk{distinguish, 2 coordinate values}
+\qbk{
+[heading Example]
+[make_2d_point] [make_2d_point_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.assign.assign_values_3_2_coordinate_values assign]
+}
+*/
+template <typename Geometry, typename Type>
+inline Geometry make(Type const& c1, Type const& c2)
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2);
+    return geometry;
+}
+
+/*!
+\brief Construct a geometry
+\ingroup make
+\tparam Geometry \tparam_geometry
+\tparam Type \tparam_numeric to specify the coordinates
+\param c1 \param_x
+\param c2 \param_y
+\param c3 \param_z
+\return The constructed geometry, here: a 3D point
+
+\qbk{distinguish, 3 coordinate values}
+\qbk{
+[heading Example]
+[make_3d_point] [make_3d_point_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.assign.assign_values_4_3_coordinate_values assign]
+}
+ */
+template <typename Geometry, typename Type>
+inline Geometry make(Type const& c1, Type const& c2, Type const& c3)
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2, c3);
+    return geometry;
+}
+
+template <typename Geometry, typename Type>
+inline Geometry make(Type const& c1, Type const& c2, Type const& c3, Type const& c4)
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    dispatch::assign
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            geometry::dimension<Geometry>::type::value
+        >::apply(geometry, c1, c2, c3, c4);
+    return geometry;
+}
+
+
+
+
+
+/*!
+\brief Construct a box with inverse infinite coordinates
+\ingroup make
+\details The make_inverse function initializes a 2D or 3D box with large coordinates, the
+    min corner is very large, the max corner is very small. This is useful e.g. in combination
+    with the expand function, to determine the bounding box of a series of geometries.
+\tparam Geometry \tparam_geometry
+\return The constructed geometry, here: a box
+
+\qbk{
+[heading Example]
+[make_inverse] [make_inverse_output]
+
+[heading See also]
+\* [link geometry.reference.algorithms.assign.assign_inverse assign_inverse]
+}
+ */
+template <typename Geometry>
+inline Geometry make_inverse()
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    dispatch::assign_inverse
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+    return geometry;
+}
+
+/*!
+\brief Construct a geometry with its coordinates initialized to zero
+\ingroup make
+\details The make_zero function initializes a 2D or 3D point or box with coordinates of zero
+\tparam Geometry \tparam_geometry
+\return The constructed and zero-initialized geometry
+ */
+template <typename Geometry>
+inline Geometry make_zero()
+{
+    concept::check<Geometry>();
+
+    Geometry geometry;
+    dispatch::assign_zero
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+    return geometry;
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_MAKE_HPP

test/external/boost/geometry/algorithms/num_geometries.hpp

@@ -0,0 +1,95 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_NUM_GEOMETRIES_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_NUM_GEOMETRIES_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Tag, typename Geometry>
+struct num_geometries
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+
+template <typename Geometry>
+struct num_geometries<single_tag, Geometry>
+{
+    static inline std::size_t apply(Geometry const&)
+    {
+        return 1;
+    }
+};
+
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief \brief_calc{number of geometries}
+\ingroup num_geometries
+\details \details_calc{num_geometries, number of geometries}.
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{number of geometries}
+
+\qbk{[include reference/algorithms/num_geometries.qbk]}
+*/
+template <typename Geometry>
+inline std::size_t num_geometries(Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::num_geometries
+        <
+            typename tag_cast
+                <
+                    typename tag<Geometry>::type,
+                    single_tag,
+                    multi_tag
+                >::type,
+            Geometry
+        >::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_NUM_GEOMETRIES_HPP

test/external/boost/geometry/algorithms/num_interior_rings.hpp

@@ -0,0 +1,88 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_NUM_INTERIOR_RINGS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_NUM_INTERIOR_RINGS_HPP
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/core/interior_rings.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Tag, typename Geometry>
+struct num_interior_rings
+{
+    static inline std::size_t apply(Geometry const& )
+    {
+        return 0;
+    }
+};
+
+
+
+template <typename Polygon>
+struct num_interior_rings<polygon_tag, Polygon>
+{
+    static inline std::size_t apply(Polygon const& polygon)
+    {
+        return boost::size(geometry::interior_rings(polygon));
+    }
+
+};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief \brief_calc{number of interior rings}
+\ingroup num_interior_rings
+\details \details_calc{num_interior_rings, number of interior rings}.
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{number of interior rings}
+
+\qbk{[include reference/algorithms/num_interior_rings.qbk]}
+
+\note Defined by OGC as "numInteriorRing". To be consistent with "numPoints"
+    letter "s" is appended
+*/
+template <typename Geometry>
+inline std::size_t num_interior_rings(Geometry const& geometry)
+{
+    return dispatch::num_interior_rings
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_NUM_INTERIOR_RINGS_HPP

test/external/boost/geometry/algorithms/num_points.hpp

@@ -0,0 +1,171 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_NUM_POINTS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_NUM_POINTS_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.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/tag_cast.hpp>
+
+#include <boost/geometry/algorithms/disjoint.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace num_points
+{
+
+
+template <typename Range>
+struct range_count
+{
+    static inline std::size_t apply(Range const& range, bool add_for_open)
+    {
+        std::size_t n = boost::size(range);
+        if (add_for_open && n > 0)
+        {
+            closure_selector const s = geometry::closure<Range>::value;
+
+            if (s == open)
+            {
+                if (geometry::disjoint(*boost::begin(range), *(boost::begin(range) + n - 1)))
+                {
+                    return n + 1;
+                }
+            }
+        }
+        return n;
+    }
+};
+
+template <typename Geometry, std::size_t D>
+struct other_count
+{
+    static inline std::size_t apply(Geometry const&, bool)
+    {
+        return D;
+    }
+};
+
+template <typename Polygon>
+struct polygon_count
+{
+    static inline std::size_t apply(Polygon const& poly, bool add_for_open)
+    {
+        typedef typename geometry::ring_type<Polygon>::type ring_type;
+
+        std::size_t n = range_count<ring_type>::apply(
+                    exterior_ring(poly), add_for_open);
+
+        typename interior_return_type<Polygon const>::type rings
+                    = interior_rings(poly);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            n += range_count<ring_type>::apply(*it, add_for_open);
+        }
+
+        return n;
+    }
+};
+
+}} // namespace detail::num_points
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename GeometryTag, typename Geometry>
+struct num_points
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry>)
+        );
+};
+
+template <typename Geometry>
+struct num_points<point_tag, Geometry>
+        : detail::num_points::other_count<Geometry, 1>
+{};
+
+template <typename Geometry>
+struct num_points<box_tag, Geometry>
+        : detail::num_points::other_count<Geometry, 4>
+{};
+
+template <typename Geometry>
+struct num_points<segment_tag, Geometry>
+        : detail::num_points::other_count<Geometry, 2>
+{};
+
+template <typename Geometry>
+struct num_points<linestring_tag, Geometry>
+        : detail::num_points::range_count<Geometry>
+{};
+
+template <typename Geometry>
+struct num_points<ring_tag, Geometry>
+        : detail::num_points::range_count<Geometry>
+{};
+
+template <typename Geometry>
+struct num_points<polygon_tag, Geometry>
+        : detail::num_points::polygon_count<Geometry>
+{};
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief \brief_calc{number of points}
+\ingroup num_points
+\details \details_calc{num_points, number of points}.
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\param add_for_open add one for open geometries (i.e. polygon types which are not closed)
+\return \return_calc{number of points}
+
+\qbk{[include reference/algorithms/num_points.qbk]}
+*/
+template <typename Geometry>
+inline std::size_t num_points(Geometry const& geometry, bool add_for_open = false)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::num_points
+        <
+            typename tag_cast<typename tag<Geometry>::type, multi_tag>::type,
+            Geometry
+        >::apply(geometry, add_for_open);
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_NUM_POINTS_HPP

test/external/boost/geometry/algorithms/overlaps.hpp

@@ -0,0 +1,200 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_OVERLAPS_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_OVERLAPS_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/core/access.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlaps
+{
+
+template
+<
+    typename Box1,
+    typename Box2,
+    std::size_t Dimension,
+    std::size_t DimensionCount
+>
+struct box_box_loop
+{
+    static inline void apply(Box1 const& b1, Box2 const& b2,
+            bool& overlaps, bool& one_in_two, bool& two_in_one)
+    {
+        assert_dimension_equal<Box1, Box2>();
+
+        typedef typename coordinate_type<Box1>::type coordinate_type1;
+        typedef typename coordinate_type<Box2>::type coordinate_type2;
+
+        coordinate_type1 const& min1 = get<min_corner, Dimension>(b1);
+        coordinate_type1 const& max1 = get<max_corner, Dimension>(b1);
+        coordinate_type2 const& min2 = get<min_corner, Dimension>(b2);
+        coordinate_type2 const& max2 = get<max_corner, Dimension>(b2);
+
+        // We might use the (not yet accepted) Boost.Interval
+        // submission in the future
+
+        // If:
+        // B1: |-------|
+        // B2:           |------|
+        // in any dimension -> no overlap
+        if (max1 <= min2 || min1 >= max2)
+        {
+            overlaps = false;
+            return;
+        }
+
+        // If:
+        // B1: |--------------------|
+        // B2:   |-------------|
+        // in all dimensions -> within, then no overlap
+        // B1: |--------------------|
+        // B2: |-------------|
+        // this is "within-touch" -> then no overlap. So use < and >
+        if (min1 < min2 || max1 > max2)
+        {
+            one_in_two = false;
+        }
+        // Same other way round
+        if (min2 < min1 || max2 > max1)
+        {
+            two_in_one = false;
+        }
+
+        box_box_loop
+            <
+                Box1,
+                Box2,
+                Dimension + 1,
+                DimensionCount
+            >::apply(b1, b2, overlaps, one_in_two, two_in_one);
+    }
+};
+
+template
+<
+    typename Box1,
+    typename Box2,
+    std::size_t DimensionCount
+>
+struct box_box_loop<Box1, Box2, DimensionCount, DimensionCount>
+{
+    static inline void apply(Box1 const& , Box2 const&, bool&, bool&, bool&)
+    {
+    }
+};
+
+template
+<
+    typename Box1,
+    typename Box2
+>
+struct box_box
+{
+    static inline bool apply(Box1 const& b1, Box2 const& b2)
+    {
+        bool overlaps = true;
+        bool within1 = true;
+        bool within2 = true;
+        box_box_loop
+            <
+                Box1,
+                Box2,
+                0,
+                dimension<Box1>::type::value
+            >::apply(b1, b2, overlaps, within1, within2);
+
+        /*
+        \see http://docs.codehaus.org/display/GEOTDOC/02+Geometry+Relationships#02GeometryRelationships-Overlaps
+        where is stated that "inside" is not an "overlap",
+        this is true and is implemented as such.
+        */
+        return overlaps && ! within1 && ! within2;
+    }
+};
+
+
+
+}} // namespace detail::overlaps
+#endif // DOXYGEN_NO_DETAIL
+
+//struct not_implemented_for_this_geometry_type : public boost::false_type {};
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag1,
+    typename Tag2,
+    typename Geometry1,
+    typename Geometry2
+>
+struct overlaps
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry1, Geometry2>)
+        );
+};
+
+
+template <typename Box1, typename Box2>
+struct overlaps<box_tag, box_tag, Box1, Box2>
+    : detail::overlaps::box_box<Box1, Box2>
+{};
+
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_check2{overlap}
+\ingroup overlaps
+\return \return_check2{overlap}
+ */
+template <typename Geometry1, typename Geometry2>
+inline bool overlaps(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    return dispatch::overlaps
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            Geometry1,
+            Geometry2
+        >::apply(geometry1, geometry2);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_OVERLAPS_HPP

test/external/boost/geometry/algorithms/perimeter.hpp

@@ -0,0 +1,139 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_PERIMETER_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_PERIMETER_HPP
+
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/strategies/default_length_result.hpp>
+#include <boost/geometry/algorithms/length.hpp>
+#include <boost/geometry/algorithms/detail/calculate_null.hpp>
+#include <boost/geometry/algorithms/detail/calculate_sum.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// Default perimeter is 0.0, specializations implement calculated values
+template <typename Tag, typename Geometry, typename Strategy>
+struct perimeter : detail::calculate_null
+    <
+        typename default_length_result<Geometry>::type,
+        Geometry,
+        Strategy
+    >
+{};
+
+template <typename Geometry, typename Strategy>
+struct perimeter<ring_tag, Geometry, Strategy>
+    : detail::length::range_length
+        <
+            Geometry,
+            Strategy,
+            closure<Geometry>::value
+        >
+{};
+
+template <typename Polygon, typename Strategy>
+struct perimeter<polygon_tag, Polygon, Strategy>
+    : detail::calculate_polygon_sum
+        <
+            typename default_length_result<Polygon>::type,
+            Polygon,
+            Strategy,
+            detail::length::range_length
+                <
+                    typename ring_type<Polygon>::type,
+                    Strategy,
+                    closure<Polygon>::value
+                >
+        >
+{};
+
+
+// box,n-sphere: to be implemented
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_calc{perimeter}
+\ingroup perimeter
+\details The function perimeter returns the perimeter of a geometry,
+    using the default distance-calculation-strategy
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry
+\return \return_calc{perimeter}
+
+\qbk{[include reference/algorithms/perimeter.qbk]}
+ */
+template<typename Geometry>
+inline typename default_length_result<Geometry>::type perimeter(
+        Geometry const& geometry)
+{
+    concept::check<Geometry const>();
+
+    typedef typename point_type<Geometry>::type point_type;
+    typedef typename strategy::distance::services::default_strategy
+        <
+            point_tag, point_type
+        >::type strategy_type;
+
+    return dispatch::perimeter
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            strategy_type
+        >::apply(geometry, strategy_type());
+}
+
+/*!
+\brief \brief_calc{perimeter} \brief_strategy
+\ingroup perimeter
+\details The function perimeter returns the perimeter of a geometry,
+    using specified strategy
+\tparam Geometry \tparam_geometry
+\tparam Strategy \tparam_strategy{distance}
+\param geometry \param_geometry
+\param strategy strategy to be used for distance calculations.
+\return \return_calc{perimeter}
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/perimeter.qbk]}
+ */
+template<typename Geometry, typename Strategy>
+inline typename default_length_result<Geometry>::type perimeter(
+        Geometry const& geometry, Strategy const& strategy)
+{
+    concept::check<Geometry const>();
+
+    return dispatch::perimeter
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Strategy
+        >::apply(geometry, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_PERIMETER_HPP
+

test/external/boost/geometry/algorithms/reverse.hpp

@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_REVERSE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_REVERSE_HPP
+
+#include <algorithm>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace reverse
+{
+
+
+template <typename Range>
+struct range_reverse
+{
+    static inline void apply(Range& range)
+    {
+        std::reverse(boost::begin(range), boost::end(range));
+    }
+};
+
+
+template <typename Polygon>
+struct polygon_reverse
+{
+    static inline void apply(Polygon& polygon)
+    {
+        typedef typename geometry::ring_type<Polygon>::type ring_type;
+
+        typedef range_reverse<ring_type> per_range;
+        per_range::apply(exterior_ring(polygon));
+
+        typename interior_return_type<Polygon>::type rings
+                    = interior_rings(polygon);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            per_range::apply(*it);
+        }
+    }
+};
+
+
+}} // namespace detail::reverse
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename Geometry
+>
+struct reverse
+{
+    static inline void apply(Geometry&)
+    {}
+};
+
+
+template <typename Ring>
+struct reverse<ring_tag, Ring>
+    : detail::reverse::range_reverse<Ring>
+{};
+
+
+template <typename LineString>
+struct reverse<linestring_tag, LineString>
+    : detail::reverse::range_reverse<LineString>
+{};
+
+
+template <typename Polygon>
+struct reverse<polygon_tag, Polygon>
+    : detail::reverse::polygon_reverse<Polygon>
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief Reverses the points within a geometry
+\details Generic function to reverse a geometry. It resembles the std::reverse
+   functionality, but it takes the geometry type into account. Only for a ring
+   or for a linestring it is the same as the std::reverse.
+\ingroup reverse
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry which will be reversed
+
+\qbk{[include reference/algorithms/reverse.qbk]}
+*/
+template <typename Geometry>
+inline void reverse(Geometry& geometry)
+{
+    concept::check<Geometry>();
+
+    dispatch::reverse
+        <
+            typename tag<Geometry>::type,
+            Geometry
+        >::apply(geometry);
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_REVERSE_HPP

test/external/boost/geometry/algorithms/simplify.hpp

@@ -0,0 +1,405 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_SIMPLIFY_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_SIMPLIFY_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp>
+#include <boost/geometry/strategies/concepts/simplify_concept.hpp>
+
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/num_interior_rings.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace simplify
+{
+
+template<typename Range, typename Strategy>
+struct simplify_range_insert
+{
+    template <typename OutputIterator, typename Distance>
+    static inline void apply(Range const& range, OutputIterator out,
+                    Distance const& max_distance, Strategy const& strategy)
+    {
+        if (boost::size(range) <= 2 || max_distance < 0)
+        {
+            std::copy(boost::begin(range), boost::end(range), out);
+        }
+        else
+        {
+            strategy.apply(range, out, max_distance);
+        }
+    }
+};
+
+
+template<typename Range, typename Strategy>
+struct simplify_copy
+{
+    template <typename Distance>
+    static inline void apply(Range const& range, Range& out,
+                    Distance const& max_distance, Strategy const& strategy)
+    {
+        std::copy
+            (
+                boost::begin(range), boost::end(range), std::back_inserter(out)
+            );
+    }
+};
+
+
+template<typename Range, typename Strategy, std::size_t Minimum>
+struct simplify_range
+{
+    template <typename Distance>
+    static inline void apply(Range const& range, Range& out,
+                    Distance const& max_distance, Strategy const& strategy)
+    {
+        // Call do_container for a linestring / ring
+
+        /* For a RING:
+            The first/last point (the closing point of the ring) should maybe
+            be excluded because it lies on a line with second/one but last.
+            Here it is never excluded.
+
+            Note also that, especially if max_distance is too large,
+            the output ring might be self intersecting while the input ring is
+            not, although chances are low in normal polygons
+
+            Finally the inputring might have 3 (open) or 4 (closed) points (=correct),
+                the output < 3 or 4(=wrong)
+        */
+
+        if (boost::size(range) <= int(Minimum) || max_distance < 0.0)
+        {
+            simplify_copy<Range, Strategy>::apply
+                (
+                    range, out, max_distance, strategy
+                );
+        }
+        else
+        {
+            simplify_range_insert<Range, Strategy>::apply
+                (
+                    range, std::back_inserter(out), max_distance, strategy
+                );
+        }
+    }
+};
+
+template<typename Polygon, typename Strategy>
+struct simplify_polygon
+{
+    template <typename Distance>
+    static inline void apply(Polygon const& poly_in, Polygon& poly_out,
+                    Distance const& max_distance, Strategy const& strategy)
+    {
+        typedef typename ring_type<Polygon>::type ring_type;
+
+        int const Minimum = core_detail::closure::minimum_ring_size
+            <
+                geometry::closure<Polygon>::value
+            >::value;
+
+        // Note that if there are inner rings, and distance is too large,
+        // they might intersect with the outer ring in the output,
+        // while it didn't in the input.
+        simplify_range<ring_type, Strategy, Minimum>::apply(exterior_ring(poly_in),
+                        exterior_ring(poly_out),
+                        max_distance, strategy);
+
+        traits::resize
+            <
+                typename boost::remove_reference
+                <
+                    typename traits::interior_mutable_type<Polygon>::type
+                >::type
+            >::apply(interior_rings(poly_out), num_interior_rings(poly_in));
+
+        typename interior_return_type<Polygon const>::type rings_in
+                    = interior_rings(poly_in);
+        typename interior_return_type<Polygon>::type rings_out
+                    = interior_rings(poly_out);
+        BOOST_AUTO_TPL(it_out, boost::begin(rings_out));
+        for (BOOST_AUTO_TPL(it_in,  boost::begin(rings_in));
+            it_in != boost::end(rings_in);
+            ++it_in, ++it_out)
+        {
+            simplify_range<ring_type, Strategy, Minimum>::apply(*it_in,
+                        *it_out, max_distance, strategy);
+        }
+    }
+};
+
+
+}} // namespace detail::simplify
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry, typename Strategy>
+struct simplify
+{
+};
+
+template <typename Point, typename Strategy>
+struct simplify<point_tag, Point, Strategy>
+{
+    template <typename Distance>
+    static inline void apply(Point const& point, Point& out,
+                    Distance const& max_distance, Strategy const& strategy)
+    {
+        geometry::convert(point, out);
+    }
+};
+
+
+template <typename Linestring, typename Strategy>
+struct simplify<linestring_tag, Linestring, Strategy>
+    : detail::simplify::simplify_range
+            <
+                Linestring,
+                Strategy,
+                2
+            >
+{};
+
+template <typename Ring, typename Strategy>
+struct simplify<ring_tag, Ring, Strategy>
+    : detail::simplify::simplify_range
+            <
+                Ring,
+                Strategy,
+                core_detail::closure::minimum_ring_size
+                    <
+                        geometry::closure<Ring>::value
+                    >::value
+            >
+{};
+
+template <typename Polygon, typename Strategy>
+struct simplify<polygon_tag, Polygon, Strategy>
+    : detail::simplify::simplify_polygon
+            <
+                Polygon,
+                Strategy
+            >
+{};
+
+
+template <typename Tag, typename Geometry, typename Strategy>
+struct simplify_insert
+{
+};
+
+
+template <typename Linestring, typename Strategy>
+struct simplify_insert<linestring_tag, Linestring, Strategy>
+    : detail::simplify::simplify_range_insert
+            <
+                Linestring,
+                Strategy
+            >
+{};
+
+template <typename Ring, typename Strategy>
+struct simplify_insert<ring_tag, Ring, Strategy>
+    : detail::simplify::simplify_range_insert
+            <
+                Ring,
+                Strategy
+            >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Simplify a geometry using a specified strategy
+\ingroup simplify
+\tparam Geometry \tparam_geometry
+\tparam Distance A numerical distance measure
+\tparam Strategy A type fulfilling a SimplifyStrategy concept
+\param strategy A strategy to calculate simplification
+\param geometry input geometry, to be simplified
+\param out output geometry, simplified version of the input geometry
+\param max_distance distance (in units of input coordinates) of a vertex
+    to other segments to be removed
+\param strategy simplify strategy to be used for simplification, might
+    include point-distance strategy
+
+\image html svg_simplify_country.png "The image below presents the simplified country"
+\qbk{distinguish,with strategy}
+*/
+template<typename Geometry, typename Distance, typename Strategy>
+inline void simplify(Geometry const& geometry, Geometry& out,
+                     Distance const& max_distance, Strategy const& strategy)
+{
+    concept::check<Geometry>();
+
+    BOOST_CONCEPT_ASSERT( (geometry::concept::SimplifyStrategy<Strategy>) );
+
+    geometry::clear(out);
+
+    dispatch::simplify
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Strategy
+        >::apply(geometry, out, max_distance, strategy);
+}
+
+
+
+
+/*!
+\brief Simplify a geometry
+\ingroup simplify
+\tparam Geometry \tparam_geometry
+\tparam Distance \tparam_numeric
+\note This version of simplify simplifies a geometry using the default
+    strategy (Douglas Peucker),
+\param geometry input geometry, to be simplified
+\param out output geometry, simplified version of the input geometry
+\param max_distance distance (in units of input coordinates) of a vertex
+    to other segments to be removed
+
+\qbk{[include reference/algorithms/simplify.qbk]}
+ */
+template<typename Geometry, typename Distance>
+inline void simplify(Geometry const& geometry, Geometry& out,
+                     Distance const& max_distance)
+{
+    concept::check<Geometry>();
+
+    typedef typename point_type<Geometry>::type point_type;
+    typedef typename strategy::distance::services::default_strategy
+            <
+                segment_tag, point_type
+            >::type ds_strategy_type;
+
+    typedef strategy::simplify::douglas_peucker
+        <
+            point_type, ds_strategy_type
+        > strategy_type;
+
+    simplify(geometry, out, max_distance, strategy_type());
+}
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace simplify
+{
+
+
+/*!
+\brief Simplify a geometry, using an output iterator
+    and a specified strategy
+\ingroup simplify
+\tparam Geometry \tparam_geometry
+\param geometry input geometry, to be simplified
+\param out output iterator, outputs all simplified points
+\param max_distance distance (in units of input coordinates) of a vertex
+    to other segments to be removed
+\param strategy simplify strategy to be used for simplification,
+    might include point-distance strategy
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/simplify.qbk]}
+*/
+template<typename Geometry, typename OutputIterator, typename Distance, typename Strategy>
+inline void simplify_insert(Geometry const& geometry, OutputIterator out,
+                              Distance const& max_distance, Strategy const& strategy)
+{
+    concept::check<Geometry const>();
+    BOOST_CONCEPT_ASSERT( (geometry::concept::SimplifyStrategy<Strategy>) );
+
+    dispatch::simplify_insert
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            Strategy
+        >::apply(geometry, out, max_distance, strategy);
+}
+
+/*!
+\brief Simplify a geometry, using an output iterator
+\ingroup simplify
+\tparam Geometry \tparam_geometry
+\param geometry input geometry, to be simplified
+\param out output iterator, outputs all simplified points
+\param max_distance distance (in units of input coordinates) of a vertex
+    to other segments to be removed
+
+\qbk{[include reference/algorithms/simplify_insert.qbk]}
+ */
+template<typename Geometry, typename OutputIterator, typename Distance>
+inline void simplify_insert(Geometry const& geometry, OutputIterator out,
+                              Distance const& max_distance)
+{
+    typedef typename point_type<Geometry>::type point_type;
+
+    // Concept: output point type = point type of input geometry
+    concept::check<Geometry const>();
+    concept::check<point_type>();
+
+    typedef typename strategy::distance::services::default_strategy
+        <
+            segment_tag, point_type
+        >::type ds_strategy_type;
+
+    typedef strategy::simplify::douglas_peucker
+        <
+            point_type, ds_strategy_type
+        > strategy_type;
+
+    dispatch::simplify_insert
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            strategy_type
+        >::apply(geometry, out, max_distance, strategy_type());
+}
+
+}} // namespace detail::simplify
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_SIMPLIFY_HPP

test/external/boost/geometry/algorithms/sym_difference.hpp

@@ -0,0 +1,149 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_SYM_DIFFERENCE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_SYM_DIFFERENCE_HPP
+
+#include <algorithm>
+
+
+#include <boost/geometry/algorithms/intersection.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace sym_difference
+{
+
+
+
+/*!
+\brief \brief_calc2{symmetric difference}  \brief_strategy
+\ingroup sym_difference
+\details \details_calc2{symmetric difference, spatial set theoretic symmetric difference (XOR)}
+    \brief_strategy. \details_insert{sym_difference}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Strategy \tparam_strategy_overlay
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{difference}
+\param strategy \param_strategy{difference}
+\return \return_out
+
+\qbk{distinguish,with strategy}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator sym_difference_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, OutputIterator out,
+            Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    out = detail::intersection::insert<GeometryOut, true, overlay_difference>(
+            geometry1, geometry2, out, strategy);
+    out = detail::intersection::insert<GeometryOut, true, overlay_difference>(
+            geometry2, geometry1, out, strategy);
+    return out;
+}
+
+
+/*!
+\brief \brief_calc2{symmetric difference}
+\ingroup sym_difference
+\details \details_calc2{symmetric difference, spatial set theoretic symmetric difference (XOR)}
+    \details_insert{sym_difference}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{difference}
+\return \return_out
+
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator
+>
+inline OutputIterator sym_difference_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, OutputIterator out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    typedef strategy_intersection
+        <
+            typename cs_tag<GeometryOut>::type,
+            Geometry1,
+            Geometry2,
+            typename geometry::point_type<GeometryOut>::type
+        > strategy_type;
+
+    return sym_difference_insert<GeometryOut>(geometry1, geometry2, out, strategy_type());
+}
+
+}} // namespace detail::sym_difference
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief \brief_calc2{symmetric difference}
+\ingroup sym_difference
+\details \details_calc2{symmetric difference, spatial set theoretic symmetric difference (XOR)}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Collection output collection, either a multi-geometry,
+    or a std::vector<Geometry> / std::deque<Geometry> etc
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param output_collection the output collection
+
+\qbk{[include reference/algorithms/sym_difference.qbk]}
+*/
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename Collection
+>
+inline void sym_difference(Geometry1 const& geometry1,
+            Geometry2 const& geometry2, Collection& output_collection)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef typename boost::range_value<Collection>::type geometry_out;
+    concept::check<geometry_out>();
+
+    detail::sym_difference::sym_difference_insert<geometry_out>(
+            geometry1, geometry2,
+            std::back_inserter(output_collection));
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_SYM_DIFFERENCE_HPP

test/external/boost/geometry/algorithms/transform.hpp

@@ -0,0 +1,351 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_TRANSFORM_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_TRANSFORM_HPP
+
+#include <cmath>
+#include <iterator>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/num_interior_rings.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/strategies/transform.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace transform
+{
+
+template <typename Point1, typename Point2, typename Strategy>
+struct transform_point
+{
+    static inline bool apply(Point1 const& p1, Point2& p2,
+                Strategy const& strategy)
+    {
+        return strategy.apply(p1, p2);
+    }
+};
+
+
+template <typename Box1, typename Box2, typename Strategy>
+struct transform_box
+{
+    static inline bool apply(Box1 const& b1, Box2& b2,
+                Strategy const& strategy)
+    {
+        typedef typename point_type<Box1>::type point_type1;
+        typedef typename point_type<Box2>::type point_type2;
+
+        point_type1 lower_left, upper_right;
+        detail::assign::assign_box_2d_corner<min_corner, min_corner>(
+                    b1, lower_left);
+        detail::assign::assign_box_2d_corner<max_corner, max_corner>(
+                    b1, upper_right);
+
+        point_type2 p1, p2;
+        if (strategy.apply(lower_left, p1) && strategy.apply(upper_right, p2))
+        {
+            // Create a valid box and therefore swap if necessary
+            typedef typename coordinate_type<point_type2>::type coordinate_type;
+            coordinate_type x1 = geometry::get<0>(p1)
+                    , y1  = geometry::get<1>(p1)
+                    , x2  = geometry::get<0>(p2)
+                    , y2  = geometry::get<1>(p2);
+
+            if (x1 > x2) { std::swap(x1, x2); }
+            if (y1 > y2) { std::swap(y1, y2); }
+
+            set<min_corner, 0>(b2, x1);
+            set<min_corner, 1>(b2, y1);
+            set<max_corner, 0>(b2, x2);
+            set<max_corner, 1>(b2, y2);
+
+            return true;
+        }
+        return false;
+    }
+};
+
+template <typename Geometry1, typename Geometry2, typename Strategy>
+struct transform_box_or_segment
+{
+    static inline bool apply(Geometry1 const& source, Geometry2& target,
+                Strategy const& strategy)
+    {
+        typedef typename point_type<Geometry1>::type point_type1;
+        typedef typename point_type<Geometry2>::type point_type2;
+
+        point_type1 source_point[2];
+        geometry::detail::assign_point_from_index<0>(source, source_point[0]);
+        geometry::detail::assign_point_from_index<1>(source, source_point[1]);
+
+        point_type2 target_point[2];
+        if (strategy.apply(source_point[0], target_point[0])
+            && strategy.apply(source_point[1], target_point[1]))
+        {
+            geometry::detail::assign_point_to_index<0>(target_point[0], target);
+            geometry::detail::assign_point_to_index<1>(target_point[1], target);
+            return true;
+        }
+        return false;
+    }
+};
+
+
+template
+<
+    typename PointOut,
+    typename OutputIterator,
+    typename Range,
+    typename Strategy
+>
+inline bool transform_range_out(Range const& range,
+    OutputIterator out, Strategy const& strategy)
+{
+    PointOut point_out;
+    for(typename boost::range_iterator<Range const>::type
+        it = boost::begin(range);
+        it != boost::end(range);
+        ++it)
+    {
+        if (! transform_point
+                <
+                    typename point_type<Range>::type,
+                    PointOut,
+                    Strategy
+                >::apply(*it, point_out, strategy))
+        {
+            return false;
+        }
+        *out++ = point_out;
+    }
+    return true;
+}
+
+
+template <typename Polygon1, typename Polygon2, typename Strategy>
+struct transform_polygon
+{
+    static inline bool apply(Polygon1 const& poly1, Polygon2& poly2,
+                Strategy const& strategy)
+    {
+        typedef typename ring_type<Polygon1>::type ring1_type;
+        typedef typename ring_type<Polygon2>::type ring2_type;
+        typedef typename point_type<Polygon2>::type point2_type;
+
+        geometry::clear(poly2);
+
+        if (!transform_range_out<point2_type>(exterior_ring(poly1),
+                    std::back_inserter(exterior_ring(poly2)), strategy))
+        {
+            return false;
+        }
+
+        // Note: here a resizeable container is assumed.
+        traits::resize
+            <
+                typename boost::remove_reference
+                <
+                    typename traits::interior_mutable_type<Polygon2>::type
+                >::type
+            >::apply(interior_rings(poly2), num_interior_rings(poly1));
+
+        typename interior_return_type<Polygon1 const>::type rings1
+                    = interior_rings(poly1);
+        typename interior_return_type<Polygon2>::type rings2
+                    = interior_rings(poly2);
+        BOOST_AUTO_TPL(it1, boost::begin(rings1));
+        BOOST_AUTO_TPL(it2, boost::begin(rings2));
+        for ( ; it1 != boost::end(interior_rings(poly1)); ++it1, ++it2)
+        {
+            if (!transform_range_out<point2_type>(*it1,
+                std::back_inserter(*it2), strategy))
+            {
+                return false;
+            }
+        }
+
+        return true;
+    }
+};
+
+
+template <typename Point1, typename Point2>
+struct select_strategy
+{
+    typedef typename strategy::transform::services::default_strategy
+        <
+            typename cs_tag<Point1>::type,
+            typename cs_tag<Point2>::type,
+            typename coordinate_system<Point1>::type,
+            typename coordinate_system<Point2>::type,
+            dimension<Point1>::type::value,
+            dimension<Point2>::type::value,
+            typename point_type<Point1>::type,
+            typename point_type<Point2>::type
+        >::type type;
+};
+
+template <typename Range1, typename Range2, typename Strategy>
+struct transform_range
+{
+    static inline bool apply(Range1 const& range1,
+            Range2& range2, Strategy const& strategy)
+    {
+        typedef typename point_type<Range2>::type point_type;
+
+        // Should NOT be done here!
+        // geometry::clear(range2);
+        return transform_range_out<point_type>(range1,
+                std::back_inserter(range2), strategy);
+    }
+};
+
+}} // namespace detail::transform
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag1, typename Tag2,
+    typename Geometry1, typename Geometry2,
+    typename Strategy
+>
+struct transform {};
+
+template <typename Point1, typename Point2, typename Strategy>
+struct transform<point_tag, point_tag, Point1, Point2, Strategy>
+    : detail::transform::transform_point<Point1, Point2, Strategy>
+{
+};
+
+
+template <typename Linestring1, typename Linestring2, typename Strategy>
+struct transform
+    <
+        linestring_tag, linestring_tag,
+        Linestring1, Linestring2, Strategy
+    >
+    : detail::transform::transform_range<Linestring1, Linestring2, Strategy>
+{
+};
+
+template <typename Range1, typename Range2, typename Strategy>
+struct transform<ring_tag, ring_tag, Range1, Range2, Strategy>
+    : detail::transform::transform_range<Range1, Range2, Strategy>
+{
+};
+
+template <typename Polygon1, typename Polygon2, typename Strategy>
+struct transform<polygon_tag, polygon_tag, Polygon1, Polygon2, Strategy>
+    : detail::transform::transform_polygon<Polygon1, Polygon2, Strategy>
+{
+};
+
+template <typename Box1, typename Box2, typename Strategy>
+struct transform<box_tag, box_tag, Box1, Box2, Strategy>
+    : detail::transform::transform_box<Box1, Box2, Strategy>
+{
+};
+
+template <typename Segment1, typename Segment2, typename Strategy>
+struct transform<segment_tag, segment_tag, Segment1, Segment2, Strategy>
+    : detail::transform::transform_box_or_segment<Segment1, Segment2, Strategy>
+{
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Transforms from one geometry to another geometry  \brief_strategy
+\ingroup transform
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Strategy strategy
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param strategy The strategy to be used for transformation
+\return True if the transformation could be done
+
+\qbk{distinguish,with strategy}
+
+\qbk{[include reference/algorithms/transform_with_strategy.qbk]}
+ */
+template <typename Geometry1, typename Geometry2, typename Strategy>
+inline bool transform(Geometry1 const& geometry1, Geometry2& geometry2,
+            Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2>();
+
+    typedef dispatch::transform
+        <
+            typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+            typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+            Geometry1,
+            Geometry2,
+            Strategy
+        > transform_type;
+
+    return transform_type::apply(geometry1, geometry2, strategy);
+}
+
+
+/*!
+\brief Transforms from one geometry to another geometry using a strategy
+\ingroup transform
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\return True if the transformation could be done
+
+\qbk{[include reference/algorithms/transform.qbk]}
+ */
+template <typename Geometry1, typename Geometry2>
+inline bool transform(Geometry1 const& geometry1, Geometry2& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2>();
+
+    typename detail::transform::select_strategy<Geometry1, Geometry2>::type strategy;
+    return transform(geometry1, geometry2, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_TRANSFORM_HPP

test/external/boost/geometry/algorithms/union.hpp

@@ -0,0 +1,284 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, 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_UNION_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_UNION_HPP
+
+
+#include <boost/mpl/if.hpp>
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/core/is_areal.hpp>
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/core/reverse_dispatch.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/algorithms/detail/overlay/overlay.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    // tag dispatching:
+    typename TagIn1, typename TagIn2, typename TagOut,
+    // metafunction finetuning helpers:
+    bool Areal1, bool Areal2, bool ArealOut,
+    // real types
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator,
+    typename GeometryOut,
+    typename Strategy
+>
+struct union_insert
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPES
+            , (types<Geometry1, Geometry2, GeometryOut>)
+        );
+};
+
+
+template
+<
+    typename TagIn1, typename TagIn2, typename TagOut,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator,
+    typename GeometryOut,
+    typename Strategy
+>
+struct union_insert
+    <
+        TagIn1, TagIn2, TagOut,
+        true, true, true,
+        Geometry1, Geometry2,
+        Reverse1, Reverse2, ReverseOut,
+        OutputIterator, GeometryOut,
+        Strategy
+    > : detail::overlay::overlay
+        <Geometry1, Geometry2, Reverse1, Reverse2, ReverseOut, OutputIterator, GeometryOut, overlay_union, Strategy>
+{};
+
+
+
+template
+<
+    typename GeometryTag1, typename GeometryTag2, typename GeometryTag3,
+    bool Areal1, bool Areal2, bool ArealOut,
+    typename Geometry1, typename Geometry2,
+    bool Reverse1, bool Reverse2, bool ReverseOut,
+    typename OutputIterator, typename GeometryOut,
+    typename Strategy
+>
+struct union_insert_reversed
+{
+    static inline OutputIterator apply(Geometry1 const& g1,
+            Geometry2 const& g2, OutputIterator out,
+            Strategy const& strategy)
+    {
+        return union_insert
+            <
+                GeometryTag2, GeometryTag1, GeometryTag3,
+                Areal2, Areal1, ArealOut,
+                Geometry2, Geometry1,
+                Reverse2, Reverse1, ReverseOut,
+                OutputIterator, GeometryOut,
+                Strategy
+            >::apply(g2, g1, out, strategy);
+    }
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace union_
+{
+
+template
+<
+    typename GeometryOut,
+    typename Geometry1, typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out,
+            Strategy const& strategy)
+{
+    return boost::mpl::if_c
+        <
+            geometry::reverse_dispatch<Geometry1, Geometry2>::type::value,
+            dispatch::union_insert_reversed
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                typename tag<GeometryOut>::type,
+                geometry::is_areal<Geometry1>::value,
+                geometry::is_areal<Geometry2>::value,
+                geometry::is_areal<GeometryOut>::value,
+                Geometry1, Geometry2,
+                overlay::do_reverse<geometry::point_order<Geometry1>::value>::value,
+                overlay::do_reverse<geometry::point_order<Geometry2>::value>::value,
+                overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+                OutputIterator, GeometryOut,
+                Strategy
+            >,
+            dispatch::union_insert
+            <
+                typename tag<Geometry1>::type,
+                typename tag<Geometry2>::type,
+                typename tag<GeometryOut>::type,
+                geometry::is_areal<Geometry1>::value,
+                geometry::is_areal<Geometry2>::value,
+                geometry::is_areal<GeometryOut>::value,
+                Geometry1, Geometry2,
+                overlay::do_reverse<geometry::point_order<Geometry1>::value>::value,
+                overlay::do_reverse<geometry::point_order<Geometry2>::value>::value,
+                overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+                OutputIterator, GeometryOut,
+                Strategy
+            >
+        >::type::apply(geometry1, geometry2, out, strategy);
+}
+
+/*!
+\brief_calc2{union} \brief_strategy
+\ingroup union
+\details \details_calc2{union_insert, spatial set theoretic union}
+    \brief_strategy. details_insert{union}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator output iterator
+\tparam Strategy \tparam_strategy_overlay
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{union}
+\param strategy \param_strategy{union}
+\return \return_out
+
+\qbk{distinguish,with strategy}
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator,
+    typename Strategy
+>
+inline OutputIterator union_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out,
+            Strategy const& strategy)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    return detail::union_::insert<GeometryOut>(geometry1, geometry2, out, strategy);
+}
+
+/*!
+\brief_calc2{union}
+\ingroup union
+\details \details_calc2{union_insert, spatial set theoretic union}.
+    \details_insert{union}
+\tparam GeometryOut output geometry type, must be specified
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam OutputIterator output iterator
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param out \param_out{union}
+\return \return_out
+*/
+template
+<
+    typename GeometryOut,
+    typename Geometry1,
+    typename Geometry2,
+    typename OutputIterator
+>
+inline OutputIterator union_insert(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            OutputIterator out)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    concept::check<GeometryOut>();
+
+    typedef strategy_intersection
+        <
+            typename cs_tag<GeometryOut>::type,
+            Geometry1,
+            Geometry2,
+            typename geometry::point_type<GeometryOut>::type
+        > strategy;
+
+    return union_insert<GeometryOut>(geometry1, geometry2, out, strategy());
+}
+
+
+}} // namespace detail::union_
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+
+/*!
+\brief Combines two geometries which each other
+\ingroup union
+\details \details_calc2{union, spatial set theoretic union}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\tparam Collection output collection, either a multi-geometry,
+    or a std::vector<Geometry> / std::deque<Geometry> etc
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param output_collection the output collection
+\note Called union_ because union is a reserved word.
+
+\qbk{[include reference/algorithms/union.qbk]}
+*/
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename Collection
+>
+inline void union_(Geometry1 const& geometry1,
+            Geometry2 const& geometry2,
+            Collection& output_collection)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+
+    typedef typename boost::range_value<Collection>::type geometry_out;
+    concept::check<geometry_out>();
+
+    detail::union_::union_insert<geometry_out>(geometry1, geometry2,
+                std::back_inserter(output_collection));
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_UNION_HPP

test/external/boost/geometry/algorithms/unique.hpp

@@ -0,0 +1,153 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_UNIQUE_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_UNIQUE_HPP
+
+#include <algorithm>
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/policies/compare.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace unique
+{
+
+
+template <typename Range, typename ComparePolicy>
+struct range_unique
+{
+    static inline void apply(Range& range, ComparePolicy const& policy)
+    {
+        typename boost::range_iterator<Range>::type it
+            = std::unique
+                (
+                    boost::begin(range),
+                    boost::end(range),
+                    policy
+                );
+
+        traits::resize<Range>::apply(range, it - boost::begin(range));
+    }
+};
+
+
+template <typename Polygon, typename ComparePolicy>
+struct polygon_unique
+{
+    static inline void apply(Polygon& polygon, ComparePolicy const& policy)
+    {
+        typedef typename geometry::ring_type<Polygon>::type ring_type;
+
+        typedef range_unique<ring_type, ComparePolicy> per_range;
+        per_range::apply(exterior_ring(polygon), policy);
+
+        typename interior_return_type<Polygon>::type rings
+                    = interior_rings(polygon);
+        for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+        {
+            per_range::apply(*it, policy);
+        }
+    }
+};
+
+
+
+}} // namespace detail::unique
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+    typename Tag,
+    typename Geometry,
+    typename ComparePolicy
+>
+struct unique
+{
+    static inline void apply(Geometry&, ComparePolicy const& )
+    {}
+};
+
+
+template <typename Ring, typename ComparePolicy>
+struct unique<ring_tag, Ring, ComparePolicy>
+    : detail::unique::range_unique<Ring, ComparePolicy>
+{};
+
+
+template <typename LineString, typename ComparePolicy>
+struct unique<linestring_tag, LineString, ComparePolicy>
+    : detail::unique::range_unique<LineString, ComparePolicy>
+{};
+
+
+template <typename Polygon, typename ComparePolicy>
+struct unique<polygon_tag, Polygon, ComparePolicy>
+    : detail::unique::polygon_unique<Polygon, ComparePolicy>
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief \brief_calc{minimal set}
+\ingroup unique
+\details \details_calc{unique,minimal set (where duplicate consecutive points are removed)}.
+\tparam Geometry \tparam_geometry
+\param geometry \param_geometry which will be made unique
+
+\qbk{[include reference/algorithms/unique.qbk]}
+*/
+template <typename Geometry>
+inline void unique(Geometry& geometry)
+{
+    concept::check<Geometry>();
+
+    // Default strategy is the default point-comparison policy
+    typedef geometry::equal_to
+        <
+            typename geometry::point_type<Geometry>::type
+        > policy;
+
+
+    dispatch::unique
+        <
+            typename tag<Geometry>::type,
+            Geometry,
+            policy
+        >::apply(geometry, policy());
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_UNIQUE_HPP

test/external/boost/geometry/algorithms/within.hpp

@@ -0,0 +1,357 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2011 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2011 Mateusz Loskot, London, UK.
+
+// 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_WITHIN_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_WITHIN_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/make.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/cs.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/ring_type.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/strategies/within.hpp>
+#include <boost/geometry/strategies/concepts/within_concept.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/order_as_direction.hpp>
+#include <boost/geometry/views/closeable_view.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace within
+{
+
+
+template
+<
+    typename Point,
+    typename Ring,
+    iterate_direction Direction,
+    closure_selector Closure,
+    typename Strategy
+>
+struct point_in_ring
+{
+    BOOST_CONCEPT_ASSERT( (geometry::concept::WithinStrategyPolygonal<Strategy>) );
+
+    static inline int apply(Point const& point, Ring const& ring,
+            Strategy const& strategy)
+    {
+        if (boost::size(ring)
+                < core_detail::closure::minimum_ring_size<Closure>::value)
+        {
+            return -1;
+        }
+
+        typedef typename reversible_view<Ring const, Direction>::type rev_view_type;
+        typedef typename closeable_view
+            <
+                rev_view_type const, Closure
+            >::type cl_view_type;
+        typedef typename boost::range_iterator<cl_view_type const>::type iterator_type;
+
+        rev_view_type rev_view(ring);
+        cl_view_type view(rev_view);
+        typename Strategy::state_type state;
+        iterator_type it = boost::begin(view);
+        iterator_type end = boost::end(view);
+
+        bool stop = false;
+        for (iterator_type previous = it++;
+            it != end && ! stop;
+            ++previous, ++it)
+        {
+            if (! strategy.apply(point, *previous, *it, state))
+            {
+                stop = true;
+            }
+        }
+
+        return strategy.result(state);
+    }
+};
+
+
+// Polygon: in exterior ring, and if so, not within interior ring(s)
+template
+<
+    typename Point,
+    typename Polygon,
+    iterate_direction Direction,
+    closure_selector Closure,
+    typename Strategy
+>
+struct point_in_polygon
+{
+    BOOST_CONCEPT_ASSERT( (geometry::concept::WithinStrategyPolygonal<Strategy>) );
+
+    static inline int apply(Point const& point, Polygon const& poly,
+            Strategy const& strategy)
+    {
+        int const code = point_in_ring
+            <
+                Point,
+                typename ring_type<Polygon>::type,
+                Direction,
+                Closure,
+                Strategy
+            >::apply(point, exterior_ring(poly), strategy);
+
+        if (code == 1)
+        {
+            typename interior_return_type<Polygon const>::type rings
+                        = interior_rings(poly);
+            for (BOOST_AUTO_TPL(it, boost::begin(rings));
+                it != boost::end(rings);
+                ++it)
+            {
+                int const interior_code = point_in_ring
+                    <
+                        Point,
+                        typename ring_type<Polygon>::type,
+                        Direction,
+                        Closure,
+                        Strategy
+                    >::apply(point, *it, strategy);
+
+                if (interior_code != -1)
+                {
+                    // If 0, return 0 (touch)
+                    // If 1 (inside hole) return -1 (outside polygon)
+                    // If -1 (outside hole) check other holes if any
+                    return -interior_code;
+                }
+            }
+        }
+        return code;
+    }
+};
+
+}} // namespace detail::within
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+    typename Tag1,
+    typename Tag2,
+    typename Geometry1,
+    typename Geometry2,
+    typename Strategy
+>
+struct within
+{
+    BOOST_MPL_ASSERT_MSG
+        (
+            false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+            , (types<Geometry1, Geometry2>)
+        );
+};
+
+
+template <typename Point, typename Box, typename Strategy>
+struct within<point_tag, box_tag, Point, Box, Strategy>
+{
+    static inline bool apply(Point const& point, Box const& box, Strategy const& strategy)
+    {
+        return strategy.apply(point, box);
+    }
+};
+
+template <typename Box1, typename Box2, typename Strategy>
+struct within<box_tag, box_tag, Box1, Box2, Strategy>
+{
+    static inline bool apply(Box1 const& box1, Box2 const& box2, Strategy const& strategy)
+    {
+        assert_dimension_equal<Box1, Box2>();
+        return strategy.apply(box1, box2);
+    }
+};
+
+
+
+template <typename Point, typename Ring, typename Strategy>
+struct within<point_tag, ring_tag, Point, Ring, Strategy>
+{
+    static inline bool apply(Point const& point, Ring const& ring, Strategy const& strategy)
+    {
+        return detail::within::point_in_ring
+            <
+                Point,
+                Ring,
+                order_as_direction<geometry::point_order<Ring>::value>::value,
+                geometry::closure<Ring>::value,
+                Strategy
+            >::apply(point, ring, strategy) == 1;
+    }
+};
+
+template <typename Point, typename Polygon, typename Strategy>
+struct within<point_tag, polygon_tag, Point, Polygon, Strategy>
+{
+    static inline bool apply(Point const& point, Polygon const& polygon, Strategy const& strategy)
+    {
+        return detail::within::point_in_polygon
+            <
+                Point,
+                Polygon,
+                order_as_direction<geometry::point_order<Polygon>::value>::value,
+                geometry::closure<Polygon>::value,
+                Strategy
+            >::apply(point, polygon, strategy) == 1;
+    }
+};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_check12{is completely inside}
+\ingroup within
+\details \details_check12{within, is completely inside}.
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param geometry1 geometry which might be within the second geometry
+\param geometry2 geometry which might contain the first geometry
+\return true if geometry1 is completely contained within geometry2,
+    else false
+\note The default strategy is used for within detection
+
+
+\qbk{[include reference/algorithms/within.qbk]}
+
+\qbk{
+[heading Example]
+[within]
+[within_output]
+}
+ */
+template<typename Geometry1, typename Geometry2>
+inline bool within(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    assert_dimension_equal<Geometry1, Geometry2>();
+
+    typedef typename point_type<Geometry1>::type point_type1;
+    typedef typename point_type<Geometry2>::type point_type2;
+
+    typedef typename strategy::within::services::default_strategy
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            typename tag<Geometry1>::type,
+            typename tag_cast<typename tag<Geometry2>::type, areal_tag>::type,
+            typename tag_cast
+                <
+                    typename cs_tag<point_type1>::type, spherical_tag
+                >::type,
+            typename tag_cast
+                <
+                    typename cs_tag<point_type2>::type, spherical_tag
+                >::type,
+            Geometry1,
+            Geometry2
+        >::type strategy_type;
+
+    return dispatch::within
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            Geometry1,
+            Geometry2,
+            strategy_type
+        >::apply(geometry1, geometry2, strategy_type());
+}
+
+/*!
+\brief \brief_check12{is completely inside} \brief_strategy
+\ingroup within
+\details \details_check12{within, is completely inside}, \brief_strategy. \details_strategy_reasons
+\tparam Geometry1 \tparam_geometry
+\tparam Geometry2 \tparam_geometry
+\param geometry1 \param_geometry
+\param geometry2 \param_geometry
+\param geometry1 \param_geometry geometry which might be within the second geometry
+\param geometry2 \param_geometry which might contain the first geometry
+\param strategy strategy to be used
+\return true if geometry1 is completely contained within geometry2,
+    else false
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/within.qbk]}
+\qbk{
+[heading Available Strategies]
+\* [link geometry.reference.strategies.strategy_within_winding Winding (coordinate system agnostic)]
+\* [link geometry.reference.strategies.strategy_within_franklin Franklin (cartesian)]
+\* [link geometry.reference.strategies.strategy_within_crossings_multiply Crossings Multiply (cartesian)]
+
+[heading Example]
+[within_strategy]
+[within_strategy_output]
+
+}
+*/
+template<typename Geometry1, typename Geometry2, typename Strategy>
+inline bool within(Geometry1 const& geometry1, Geometry2 const& geometry2,
+        Strategy const& strategy)
+{
+    concept::within::check
+        <
+            typename tag<Geometry1>::type, 
+            typename tag<Geometry2>::type, 
+            typename tag_cast<typename tag<Geometry2>::type, areal_tag>::type,
+            Strategy
+        >();
+    concept::check<Geometry1 const>();
+    concept::check<Geometry2 const>();
+    assert_dimension_equal<Geometry1, Geometry2>();
+
+    return dispatch::within
+        <
+            typename tag<Geometry1>::type,
+            typename tag<Geometry2>::type,
+            Geometry1,
+            Geometry2,
+            Strategy
+        >::apply(geometry1, geometry2, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_WITHIN_HPP