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authorAnas Nashif <anas.nashif@intel.com>2012-10-30 12:57:26 -0700
committerAnas Nashif <anas.nashif@intel.com>2012-10-30 12:57:26 -0700
commit1a78a62555be32868418fe52f8e330c9d0f95d5a (patch)
treed3765a80e7d3b9640ec2e930743630cd6b9fce2b /boost/geometry
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Imported Upstream version 1.49.0upstream/1.49.0
Diffstat (limited to 'boost/geometry')
-rw-r--r--boost/geometry/algorithms/append.hpp233
-rw-r--r--boost/geometry/algorithms/area.hpp295
-rw-r--r--boost/geometry/algorithms/assign.hpp171
-rw-r--r--boost/geometry/algorithms/buffer.hpp167
-rw-r--r--boost/geometry/algorithms/centroid.hpp470
-rw-r--r--boost/geometry/algorithms/clear.hpp159
-rw-r--r--boost/geometry/algorithms/comparable_distance.hpp74
-rw-r--r--boost/geometry/algorithms/convert.hpp411
-rw-r--r--boost/geometry/algorithms/convex_hull.hpp275
-rw-r--r--boost/geometry/algorithms/correct.hpp265
-rw-r--r--boost/geometry/algorithms/covered_by.hpp195
-rw-r--r--boost/geometry/algorithms/detail/as_range.hpp107
-rw-r--r--boost/geometry/algorithms/detail/assign_box_corners.hpp93
-rw-r--r--boost/geometry/algorithms/detail/assign_indexed_point.hpp94
-rw-r--r--boost/geometry/algorithms/detail/assign_values.hpp443
-rw-r--r--boost/geometry/algorithms/detail/calculate_null.hpp38
-rw-r--r--boost/geometry/algorithms/detail/calculate_sum.hpp64
-rw-r--r--boost/geometry/algorithms/detail/convert_indexed_to_indexed.hpp80
-rw-r--r--boost/geometry/algorithms/detail/convert_point_to_point.hpp68
-rw-r--r--boost/geometry/algorithms/detail/disjoint.hpp225
-rw-r--r--boost/geometry/algorithms/detail/equals/collect_vectors.hpp315
-rw-r--r--boost/geometry/algorithms/detail/for_each_range.hpp148
-rw-r--r--boost/geometry/algorithms/detail/has_self_intersections.hpp120
-rw-r--r--boost/geometry/algorithms/detail/not.hpp50
-rw-r--r--boost/geometry/algorithms/detail/overlay/add_rings.hpp134
-rw-r--r--boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp53
-rw-r--r--boost/geometry/algorithms/detail/overlay/assign_parents.hpp337
-rw-r--r--boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp170
-rw-r--r--boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp55
-rw-r--r--boost/geometry/algorithms/detail/overlay/check_enrich.hpp172
-rw-r--r--boost/geometry/algorithms/detail/overlay/clip_linestring.hpp242
-rw-r--r--boost/geometry/algorithms/detail/overlay/convert_ring.hpp99
-rw-r--r--boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp295
-rw-r--r--boost/geometry/algorithms/detail/overlay/copy_segments.hpp328
-rw-r--r--boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp64
-rw-r--r--boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp523
-rw-r--r--boost/geometry/algorithms/detail/overlay/enrichment_info.hpp76
-rw-r--r--boost/geometry/algorithms/detail/overlay/follow.hpp416
-rw-r--r--boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp146
-rw-r--r--boost/geometry/algorithms/detail/overlay/get_relative_order.hpp108
-rw-r--r--boost/geometry/algorithms/detail/overlay/get_ring.hpp102
-rw-r--r--boost/geometry/algorithms/detail/overlay/get_turn_info.hpp956
-rw-r--r--boost/geometry/algorithms/detail/overlay/get_turns.hpp866
-rw-r--r--boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp672
-rw-r--r--boost/geometry/algorithms/detail/overlay/intersection_insert.hpp690
-rw-r--r--boost/geometry/algorithms/detail/overlay/overlay.hpp301
-rw-r--r--boost/geometry/algorithms/detail/overlay/overlay_type.hpp29
-rw-r--r--boost/geometry/algorithms/detail/overlay/ring_properties.hpp78
-rw-r--r--boost/geometry/algorithms/detail/overlay/segment_identifier.hpp91
-rw-r--r--boost/geometry/algorithms/detail/overlay/select_rings.hpp295
-rw-r--r--boost/geometry/algorithms/detail/overlay/self_turn_points.hpp308
-rw-r--r--boost/geometry/algorithms/detail/overlay/stream_info.hpp75
-rw-r--r--boost/geometry/algorithms/detail/overlay/traversal_info.hpp47
-rw-r--r--boost/geometry/algorithms/detail/overlay/traverse.hpp395
-rw-r--r--boost/geometry/algorithms/detail/overlay/turn_info.hpp142
-rw-r--r--boost/geometry/algorithms/detail/overlay/visit_info.hpp136
-rw-r--r--boost/geometry/algorithms/detail/partition.hpp425
-rw-r--r--boost/geometry/algorithms/detail/point_on_border.hpp243
-rw-r--r--boost/geometry/algorithms/detail/ring_identifier.hpp70
-rw-r--r--boost/geometry/algorithms/detail/sections/range_by_section.hpp131
-rw-r--r--boost/geometry/algorithms/detail/sections/sectionalize.hpp648
-rw-r--r--boost/geometry/algorithms/detail/throw_on_empty_input.hpp53
-rw-r--r--boost/geometry/algorithms/difference.hpp160
-rw-r--r--boost/geometry/algorithms/disjoint.hpp270
-rw-r--r--boost/geometry/algorithms/distance.hpp591
-rw-r--r--boost/geometry/algorithms/envelope.hpp273
-rw-r--r--boost/geometry/algorithms/equals.hpp319
-rw-r--r--boost/geometry/algorithms/expand.hpp319
-rw-r--r--boost/geometry/algorithms/for_each.hpp358
-rw-r--r--boost/geometry/algorithms/intersection.hpp237
-rw-r--r--boost/geometry/algorithms/intersects.hpp106
-rw-r--r--boost/geometry/algorithms/length.hpp204
-rw-r--r--boost/geometry/algorithms/make.hpp200
-rw-r--r--boost/geometry/algorithms/not_implemented.hpp117
-rw-r--r--boost/geometry/algorithms/num_geometries.hpp95
-rw-r--r--boost/geometry/algorithms/num_interior_rings.hpp88
-rw-r--r--boost/geometry/algorithms/num_points.hpp171
-rw-r--r--boost/geometry/algorithms/overlaps.hpp202
-rw-r--r--boost/geometry/algorithms/perimeter.hpp144
-rw-r--r--boost/geometry/algorithms/reverse.hpp134
-rw-r--r--boost/geometry/algorithms/simplify.hpp405
-rw-r--r--boost/geometry/algorithms/sym_difference.hpp177
-rw-r--r--boost/geometry/algorithms/transform.hpp351
-rw-r--r--boost/geometry/algorithms/union.hpp284
-rw-r--r--boost/geometry/algorithms/unique.hpp153
-rw-r--r--boost/geometry/algorithms/within.hpp344
-rw-r--r--boost/geometry/arithmetic/arithmetic.hpp281
-rw-r--r--boost/geometry/arithmetic/determinant.hpp76
-rw-r--r--boost/geometry/arithmetic/dot_product.hpp82
-rw-r--r--boost/geometry/core/access.hpp324
-rw-r--r--boost/geometry/core/closure.hpp180
-rw-r--r--boost/geometry/core/coordinate_dimension.hpp126
-rw-r--r--boost/geometry/core/coordinate_system.hpp97
-rw-r--r--boost/geometry/core/coordinate_type.hpp102
-rw-r--r--boost/geometry/core/cs.hpp220
-rw-r--r--boost/geometry/core/exception.hpp60
-rw-r--r--boost/geometry/core/exterior_ring.hpp144
-rw-r--r--boost/geometry/core/geometry_id.hpp94
-rw-r--r--boost/geometry/core/interior_rings.hpp139
-rw-r--r--boost/geometry/core/interior_type.hpp161
-rw-r--r--boost/geometry/core/is_areal.hpp60
-rw-r--r--boost/geometry/core/mutable_range.hpp98
-rw-r--r--boost/geometry/core/point_order.hpp162
-rw-r--r--boost/geometry/core/point_type.hpp130
-rw-r--r--boost/geometry/core/radian_access.hpp152
-rw-r--r--boost/geometry/core/reverse_dispatch.hpp67
-rw-r--r--boost/geometry/core/ring_type.hpp170
-rw-r--r--boost/geometry/core/tag.hpp70
-rw-r--r--boost/geometry/core/tag_cast.hpp84
-rw-r--r--boost/geometry/core/tags.hpp94
-rw-r--r--boost/geometry/core/topological_dimension.hpp88
-rw-r--r--boost/geometry/geometries/adapted/boost_array.hpp120
-rw-r--r--boost/geometry/geometries/adapted/boost_fusion.hpp172
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon.hpp18
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/box.hpp141
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp84
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/holes_proxy.hpp204
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/point.hpp102
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/polygon.hpp111
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/ring.hpp163
-rw-r--r--boost/geometry/geometries/adapted/boost_polygon/ring_proxy.hpp301
-rw-r--r--boost/geometry/geometries/adapted/boost_range/adjacent_filtered.hpp40
-rw-r--r--boost/geometry/geometries/adapted/boost_range/filtered.hpp40
-rw-r--r--boost/geometry/geometries/adapted/boost_range/reversed.hpp40
-rw-r--r--boost/geometry/geometries/adapted/boost_range/sliced.hpp36
-rw-r--r--boost/geometry/geometries/adapted/boost_range/strided.hpp36
-rw-r--r--boost/geometry/geometries/adapted/boost_range/uniqued.hpp40
-rw-r--r--boost/geometry/geometries/adapted/boost_tuple.hpp109
-rw-r--r--boost/geometry/geometries/adapted/c_array.hpp111
-rw-r--r--boost/geometry/geometries/adapted/std_pair_as_segment.hpp98
-rw-r--r--boost/geometry/geometries/box.hpp134
-rw-r--r--boost/geometry/geometries/concepts/box_concept.hpp136
-rw-r--r--boost/geometry/geometries/concepts/check.hpp171
-rw-r--r--boost/geometry/geometries/concepts/linestring_concept.hpp125
-rw-r--r--boost/geometry/geometries/concepts/point_concept.hpp176
-rw-r--r--boost/geometry/geometries/concepts/polygon_concept.hpp135
-rw-r--r--boost/geometry/geometries/concepts/ring_concept.hpp99
-rw-r--r--boost/geometry/geometries/concepts/segment_concept.hpp135
-rw-r--r--boost/geometry/geometries/geometries.hpp25
-rw-r--r--boost/geometry/geometries/linestring.hpp95
-rw-r--r--boost/geometry/geometries/point.hpp178
-rw-r--r--boost/geometry/geometries/point_xy.hpp128
-rw-r--r--boost/geometry/geometries/polygon.hpp319
-rw-r--r--boost/geometry/geometries/register/box.hpp179
-rw-r--r--boost/geometry/geometries/register/linestring.hpp60
-rw-r--r--boost/geometry/geometries/register/point.hpp173
-rw-r--r--boost/geometry/geometries/register/ring.hpp60
-rw-r--r--boost/geometry/geometries/register/segment.hpp129
-rw-r--r--boost/geometry/geometries/ring.hpp153
-rw-r--r--boost/geometry/geometries/segment.hpp203
-rw-r--r--boost/geometry/geometry.hpp90
-rw-r--r--boost/geometry/io/dsv/write.hpp375
-rw-r--r--boost/geometry/io/io.hpp58
-rw-r--r--boost/geometry/io/wkt/detail/prefix.hpp45
-rw-r--r--boost/geometry/io/wkt/detail/wkt_multi.hpp57
-rw-r--r--boost/geometry/io/wkt/read.hpp686
-rw-r--r--boost/geometry/io/wkt/stream.hpp40
-rw-r--r--boost/geometry/io/wkt/wkt.hpp25
-rw-r--r--boost/geometry/io/wkt/write.hpp376
-rw-r--r--boost/geometry/iterators/base.hpp70
-rw-r--r--boost/geometry/iterators/closing_iterator.hpp157
-rw-r--r--boost/geometry/iterators/ever_circling_iterator.hpp164
-rw-r--r--boost/geometry/multi/algorithms/append.hpp52
-rw-r--r--boost/geometry/multi/algorithms/area.hpp57
-rw-r--r--boost/geometry/multi/algorithms/centroid.hpp178
-rw-r--r--boost/geometry/multi/algorithms/clear.hpp43
-rw-r--r--boost/geometry/multi/algorithms/convert.hpp128
-rw-r--r--boost/geometry/multi/algorithms/correct.hpp66
-rw-r--r--boost/geometry/multi/algorithms/covered_by.hpp70
-rw-r--r--boost/geometry/multi/algorithms/detail/for_each_range.hpp86
-rw-r--r--boost/geometry/multi/algorithms/detail/modify.hpp53
-rw-r--r--boost/geometry/multi/algorithms/detail/modify_with_predicate.hpp52
-rw-r--r--boost/geometry/multi/algorithms/detail/multi_sum.hpp58
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp101
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp104
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp54
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp111
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp62
-rw-r--r--boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp56
-rw-r--r--boost/geometry/multi/algorithms/detail/point_on_border.hpp95
-rw-r--r--boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp90
-rw-r--r--boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp95
-rw-r--r--boost/geometry/multi/algorithms/distance.hpp157
-rw-r--r--boost/geometry/multi/algorithms/envelope.hpp117
-rw-r--r--boost/geometry/multi/algorithms/equals.hpp70
-rw-r--r--boost/geometry/multi/algorithms/for_each.hpp129
-rw-r--r--boost/geometry/multi/algorithms/intersection.hpp438
-rw-r--r--boost/geometry/multi/algorithms/length.hpp57
-rw-r--r--boost/geometry/multi/algorithms/num_geometries.hpp51
-rw-r--r--boost/geometry/multi/algorithms/num_interior_rings.hpp61
-rw-r--r--boost/geometry/multi/algorithms/num_points.hpp81
-rw-r--r--boost/geometry/multi/algorithms/perimeter.hpp56
-rw-r--r--boost/geometry/multi/algorithms/reverse.hpp69
-rw-r--r--boost/geometry/multi/algorithms/simplify.hpp117
-rw-r--r--boost/geometry/multi/algorithms/transform.hpp102
-rw-r--r--boost/geometry/multi/algorithms/unique.hpp102
-rw-r--r--boost/geometry/multi/algorithms/within.hpp104
-rw-r--r--boost/geometry/multi/core/closure.hpp58
-rw-r--r--boost/geometry/multi/core/geometry_id.hpp56
-rw-r--r--boost/geometry/multi/core/interior_rings.hpp55
-rw-r--r--boost/geometry/multi/core/is_areal.hpp43
-rw-r--r--boost/geometry/multi/core/point_order.hpp57
-rw-r--r--boost/geometry/multi/core/point_type.hpp64
-rw-r--r--boost/geometry/multi/core/ring_type.hpp66
-rw-r--r--boost/geometry/multi/core/tags.hpp71
-rw-r--r--boost/geometry/multi/core/topological_dimension.hpp52
-rw-r--r--boost/geometry/multi/geometries/concepts/check.hpp83
-rw-r--r--boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp86
-rw-r--r--boost/geometry/multi/geometries/concepts/multi_point_concept.hpp85
-rw-r--r--boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp86
-rw-r--r--boost/geometry/multi/geometries/multi_geometries.hpp21
-rw-r--r--boost/geometry/multi/geometries/multi_linestring.hpp80
-rw-r--r--boost/geometry/multi/geometries/multi_point.hpp94
-rw-r--r--boost/geometry/multi/geometries/multi_polygon.hpp78
-rw-r--r--boost/geometry/multi/geometries/register/multi_linestring.hpp59
-rw-r--r--boost/geometry/multi/geometries/register/multi_point.hpp59
-rw-r--r--boost/geometry/multi/geometries/register/multi_polygon.hpp59
-rw-r--r--boost/geometry/multi/io/dsv/write.hpp83
-rw-r--r--boost/geometry/multi/io/wkt/detail/prefix.hpp51
-rw-r--r--boost/geometry/multi/io/wkt/read.hpp105
-rw-r--r--boost/geometry/multi/io/wkt/wkt.hpp20
-rw-r--r--boost/geometry/multi/io/wkt/write.hpp108
-rw-r--r--boost/geometry/multi/multi.hpp77
-rw-r--r--boost/geometry/multi/strategies/cartesian/centroid_average.hpp116
-rw-r--r--boost/geometry/multi/views/detail/range_type.hpp62
-rw-r--r--boost/geometry/policies/compare.hpp242
-rw-r--r--boost/geometry/policies/relate/de9im.hpp177
-rw-r--r--boost/geometry/policies/relate/direction.hpp360
-rw-r--r--boost/geometry/policies/relate/intersection_points.hpp188
-rw-r--r--boost/geometry/policies/relate/tupled.hpp173
-rw-r--r--boost/geometry/strategies/agnostic/hull_graham_andrew.hpp384
-rw-r--r--boost/geometry/strategies/agnostic/point_in_box_by_side.hpp151
-rw-r--r--boost/geometry/strategies/agnostic/point_in_poly_oriented_winding.hpp208
-rw-r--r--boost/geometry/strategies/agnostic/point_in_poly_winding.hpp232
-rw-r--r--boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp229
-rw-r--r--boost/geometry/strategies/area.hpp50
-rw-r--r--boost/geometry/strategies/cartesian/area_surveyor.hpp134
-rw-r--r--boost/geometry/strategies/cartesian/box_in_box.hpp176
-rw-r--r--boost/geometry/strategies/cartesian/cart_intersect.hpp502
-rw-r--r--boost/geometry/strategies/cartesian/centroid_bashein_detmer.hpp242
-rw-r--r--boost/geometry/strategies/cartesian/centroid_weighted_length.hpp144
-rw-r--r--boost/geometry/strategies/cartesian/distance_projected_point.hpp315
-rw-r--r--boost/geometry/strategies/cartesian/distance_pythagoras.hpp349
-rw-r--r--boost/geometry/strategies/cartesian/point_in_box.hpp172
-rw-r--r--boost/geometry/strategies/cartesian/point_in_poly_crossings_multiply.hpp124
-rw-r--r--boost/geometry/strategies/cartesian/point_in_poly_franklin.hpp118
-rw-r--r--boost/geometry/strategies/cartesian/side_by_triangle.hpp121
-rw-r--r--boost/geometry/strategies/centroid.hpp72
-rw-r--r--boost/geometry/strategies/compare.hpp172
-rw-r--r--boost/geometry/strategies/concepts/area_concept.hpp75
-rw-r--r--boost/geometry/strategies/concepts/centroid_concept.hpp78
-rw-r--r--boost/geometry/strategies/concepts/convex_hull_concept.hpp75
-rw-r--r--boost/geometry/strategies/concepts/distance_concept.hpp206
-rw-r--r--boost/geometry/strategies/concepts/segment_intersect_concept.hpp78
-rw-r--r--boost/geometry/strategies/concepts/simplify_concept.hpp109
-rw-r--r--boost/geometry/strategies/concepts/within_concept.hpp291
-rw-r--r--boost/geometry/strategies/convex_hull.hpp47
-rw-r--r--boost/geometry/strategies/covered_by.hpp72
-rw-r--r--boost/geometry/strategies/default_area_result.hpp51
-rw-r--r--boost/geometry/strategies/default_distance_result.hpp50
-rw-r--r--boost/geometry/strategies/default_length_result.hpp46
-rw-r--r--boost/geometry/strategies/distance.hpp135
-rw-r--r--boost/geometry/strategies/intersection.hpp93
-rw-r--r--boost/geometry/strategies/intersection_result.hpp174
-rw-r--r--boost/geometry/strategies/side.hpp55
-rw-r--r--boost/geometry/strategies/side_info.hpp93
-rw-r--r--boost/geometry/strategies/spherical/area_huiller.hpp202
-rw-r--r--boost/geometry/strategies/spherical/compare_circular.hpp152
-rw-r--r--boost/geometry/strategies/spherical/distance_cross_track.hpp349
-rw-r--r--boost/geometry/strategies/spherical/distance_haversine.hpp330
-rw-r--r--boost/geometry/strategies/spherical/side_by_cross_track.hpp100
-rw-r--r--boost/geometry/strategies/spherical/ssf.hpp136
-rw-r--r--boost/geometry/strategies/strategies.hpp59
-rw-r--r--boost/geometry/strategies/strategy_transform.hpp470
-rw-r--r--boost/geometry/strategies/tags.hpp41
-rw-r--r--boost/geometry/strategies/transform.hpp63
-rw-r--r--boost/geometry/strategies/transform/inverse_transformer.hpp78
-rw-r--r--boost/geometry/strategies/transform/map_transformer.hpp165
-rw-r--r--boost/geometry/strategies/transform/matrix_transformers.hpp422
-rw-r--r--boost/geometry/strategies/within.hpp71
-rw-r--r--boost/geometry/util/add_const_if_c.hpp56
-rw-r--r--boost/geometry/util/calculation_type.hpp176
-rw-r--r--boost/geometry/util/closure_as_bool.hpp46
-rw-r--r--boost/geometry/util/coordinate_cast.hpp55
-rw-r--r--boost/geometry/util/for_each_coordinate.hpp94
-rw-r--r--boost/geometry/util/math.hpp168
-rw-r--r--boost/geometry/util/order_as_direction.hpp46
-rw-r--r--boost/geometry/util/parameter_type_of.hpp75
-rw-r--r--boost/geometry/util/promote_floating_point.hpp50
-rw-r--r--boost/geometry/util/rational.hpp179
-rw-r--r--boost/geometry/util/readme.txt17
-rw-r--r--boost/geometry/util/select_calculation_type.hpp57
-rw-r--r--boost/geometry/util/select_coordinate_type.hpp45
-rw-r--r--boost/geometry/util/select_most_precise.hpp162
-rw-r--r--boost/geometry/views/box_view.hpp114
-rw-r--r--boost/geometry/views/closeable_view.hpp100
-rw-r--r--boost/geometry/views/detail/points_view.hpp141
-rw-r--r--boost/geometry/views/detail/range_type.hpp106
-rw-r--r--boost/geometry/views/identity_view.hpp53
-rw-r--r--boost/geometry/views/reversible_view.hpp74
-rw-r--r--boost/geometry/views/segment_view.hpp100
301 files changed, 46987 insertions, 0 deletions
diff --git a/boost/geometry/algorithms/append.hpp b/boost/geometry/algorithms/append.hpp
new file mode 100644
index 0000000000..72b2bbadab
--- /dev/null
+++ b/boost/geometry/algorithms/append.hpp
@@ -0,0 +1,233 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& , Point const& ,
+ 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 Geometry, typename RangeOrPoint,
+ typename TagRangeOrPoint = typename tag<RangeOrPoint>::type
+>
+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<Geometry, RangeOrPoint, point_tag>
+ : 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
+ <
+ Geometry,
+ RangeOrPoint
+ >::apply(geometry, range_or_point, ring_index, multi_index);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_APPEND_HPP
diff --git a/boost/geometry/algorithms/area.hpp b/boost/geometry/algorithms/area.hpp
new file mode 100644
index 0000000000..919ab66fe1
--- /dev/null
+++ b/boost/geometry/algorithms/area.hpp
@@ -0,0 +1,295 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/algorithms/detail/throw_on_empty_input.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 Geometry,
+ typename Strategy = typename strategy::area::services::default_strategy
+ <
+ typename cs_tag
+ <
+ typename point_type<Geometry>::type
+ >::type,
+ typename point_type<Geometry>::type
+ >::type,
+ typename Tag = typename tag<Geometry>::type
+>
+struct area
+ : detail::calculate_null
+ <
+ typename Strategy::return_type,
+ Geometry,
+ Strategy
+ > {};
+
+
+template
+<
+ typename Geometry,
+ typename Strategy
+>
+struct area<Geometry, Strategy, box_tag>
+ : detail::area::box_area<Geometry, Strategy>
+{};
+
+
+template
+<
+ typename Ring,
+ typename Strategy
+>
+struct area<Ring, Strategy, ring_tag>
+ : 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, Strategy, polygon_tag>
+ : 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;
+
+ // detail::throw_on_empty_input(geometry);
+
+ return dispatch::area
+ <
+ Geometry
+ >::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>();
+
+ // detail::throw_on_empty_input(geometry);
+
+ return dispatch::area
+ <
+ Geometry,
+ Strategy
+ >::apply(geometry, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_AREA_HPP
diff --git a/boost/geometry/algorithms/assign.hpp b/boost/geometry/algorithms/assign.hpp
new file mode 100644
index 0000000000..8c153c878d
--- /dev/null
+++ b/boost/geometry/algorithms/assign.hpp
@@ -0,0 +1,171 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/algorithms/append.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/arithmetic/arithmetic.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<Geometry2, Geometry1>::apply(geometry2, geometry1);
+}
+
+
+}} // namespace boost::geometry
+
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_ASSIGN_HPP
diff --git a/boost/geometry/algorithms/buffer.hpp b/boost/geometry/algorithms/buffer.hpp
new file mode 100644
index 0000000000..e22e36addc
--- /dev/null
+++ b/boost/geometry/algorithms/buffer.hpp
@@ -0,0 +1,167 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& , 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
diff --git a/boost/geometry/algorithms/centroid.hpp b/boost/geometry/algorithms/centroid.hpp
new file mode 100644
index 0000000000..69ad9fe829
--- /dev/null
+++ b/boost/geometry/algorithms/centroid.hpp
@@ -0,0 +1,470 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/clear.hpp b/boost/geometry/algorithms/clear.hpp
new file mode 100644
index 0000000000..d7336587ee
--- /dev/null
+++ b/boost/geometry/algorithms/clear.hpp
@@ -0,0 +1,159 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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 Geometry,
+ typename Tag = typename tag_cast<typename tag<Geometry>::type, multi_tag>::type
+>
+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<Geometry, point_tag>
+ : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<Geometry, box_tag>
+ : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<Geometry, segment_tag>
+ : detail::clear::no_action<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<Geometry, linestring_tag>
+ : detail::clear::collection_clear<Geometry>
+{};
+
+template <typename Geometry>
+struct clear<Geometry, ring_tag>
+ : detail::clear::collection_clear<Geometry>
+{};
+
+
+// Polygon can (indirectly) use std for clear
+template <typename Polygon>
+struct clear<Polygon, polygon_tag>
+ : 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<Geometry>::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CLEAR_HPP
diff --git a/boost/geometry/algorithms/comparable_distance.hpp b/boost/geometry/algorithms/comparable_distance.hpp
new file mode 100644
index 0000000000..3467045ca2
--- /dev/null
+++ b/boost/geometry/algorithms/comparable_distance.hpp
@@ -0,0 +1,74 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/convert.hpp b/boost/geometry/algorithms/convert.hpp
new file mode 100644
index 0000000000..fbbf74c17f
--- /dev/null
+++ b/boost/geometry/algorithms/convert.hpp
@@ -0,0 +1,411 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/not_implemented.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/algorithms/detail/convert_indexed_to_indexed.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
+<
+ typename Geometry1, typename Geometry2,
+ typename Tag1 = typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+ typename Tag2 = typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+ std::size_t DimensionCount = dimension<Geometry1>::type::value,
+ bool UseAssignment = boost::is_same<Geometry1, Geometry2>::value
+ && !boost::is_array<Geometry1>::value
+>
+struct convert: not_implemented<Tag1, Tag2, mpl::int_<DimensionCount> >
+{};
+
+
+template
+<
+ typename Geometry1, typename Geometry2,
+ typename Tag,
+ std::size_t DimensionCount
+>
+struct convert<Geometry1, Geometry2, Tag, Tag, DimensionCount, true>
+{
+ // Same geometry type -> copy whole geometry
+ static inline void apply(Geometry1 const& source, Geometry2& destination)
+ {
+ destination = source;
+ }
+};
+
+
+template
+<
+ typename Geometry1, typename Geometry2,
+ std::size_t DimensionCount
+>
+struct convert<Geometry1, Geometry2, point_tag, point_tag, DimensionCount, false>
+ : detail::conversion::point_to_point<Geometry1, Geometry2, 0, DimensionCount>
+{};
+
+
+template
+<
+ typename Box1, typename Box2,
+ std::size_t DimensionCount
+>
+struct convert<Box1, Box2, box_tag, box_tag, DimensionCount, false>
+ : detail::conversion::indexed_to_indexed<Box1, Box2, 0, DimensionCount>
+{};
+
+
+template
+<
+ typename Segment1, typename Segment2,
+ std::size_t DimensionCount
+>
+struct convert<Segment1, Segment2, segment_tag, segment_tag, DimensionCount, false>
+ : detail::conversion::indexed_to_indexed<Segment1, Segment2, 0, DimensionCount>
+{};
+
+
+template <typename Segment, typename LineString, std::size_t DimensionCount>
+struct convert<Segment, LineString, segment_tag, linestring_tag, DimensionCount, false>
+ : detail::conversion::segment_to_range<Segment, LineString>
+{};
+
+
+template <typename Ring1, typename Ring2, std::size_t DimensionCount>
+struct convert<Ring1, Ring2, ring_tag, ring_tag, DimensionCount, false>
+ : detail::conversion::range_to_range
+ <
+ Ring1,
+ Ring2,
+ geometry::point_order<Ring1>::value
+ != geometry::point_order<Ring2>::value
+ >
+{};
+
+template <typename LineString1, typename LineString2, std::size_t DimensionCount>
+struct convert<LineString1, LineString2, linestring_tag, linestring_tag, DimensionCount, false>
+ : detail::conversion::range_to_range<LineString1, LineString2>
+{};
+
+template <typename Polygon1, typename Polygon2, std::size_t DimensionCount>
+struct convert<Polygon1, Polygon2, polygon_tag, polygon_tag, DimensionCount, false>
+ : detail::conversion::polygon_to_polygon<Polygon1, Polygon2>
+{};
+
+template <typename Box, typename Ring>
+struct convert<Box, Ring, box_tag, ring_tag, 2, false>
+ : 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<Box, Polygon, box_tag, polygon_tag, 2, false>
+{
+ static inline void apply(Box const& box, Polygon& polygon)
+ {
+ typedef typename ring_type<Polygon>::type ring_type;
+
+ convert
+ <
+ Box, ring_type,
+ box_tag, ring_tag,
+ 2, false
+ >::apply(box, exterior_ring(polygon));
+ }
+};
+
+
+template <typename Point, typename Box, std::size_t DimensionCount>
+struct convert<Point, Box, point_tag, box_tag, DimensionCount, false>
+{
+ 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, typename Polygon, std::size_t DimensionCount>
+struct convert<Ring, Polygon, ring_tag, polygon_tag, DimensionCount, false>
+{
+ static inline void apply(Ring const& ring, Polygon& polygon)
+ {
+ typedef typename ring_type<Polygon>::type ring_type;
+ convert
+ <
+ Ring, ring_type,
+ ring_tag, ring_tag,
+ DimensionCount, false
+ >::apply(ring, exterior_ring(polygon));
+ }
+};
+
+
+template <typename Polygon, typename Ring, std::size_t DimensionCount>
+struct convert<Polygon, Ring, polygon_tag, ring_tag, DimensionCount, false>
+{
+ static inline void apply(Polygon const& polygon, Ring& ring)
+ {
+ typedef typename ring_type<Polygon>::type ring_type;
+
+ convert
+ <
+ ring_type, Ring,
+ ring_tag, ring_tag,
+ DimensionCount, false
+ >::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<Geometry1, Geometry2>::apply(geometry1, geometry2);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CONVERT_HPP
diff --git a/boost/geometry/algorithms/convex_hull.hpp b/boost/geometry/algorithms/convex_hull.hpp
new file mode 100644
index 0000000000..56b87c8c15
--- /dev/null
+++ b/boost/geometry/algorithms/convex_hull.hpp
@@ -0,0 +1,275 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/array.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/num_points.hpp>
+#include <boost/geometry/algorithms/detail/as_range.hpp>
+#include <boost/geometry/algorithms/detail/assign_box_corners.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 Strategy
+>
+struct hull_to_geometry
+{
+ template <typename OutputGeometry>
+ 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);
+ }
+};
+
+
+// Helper metafunction for default strategy retrieval
+template <typename Geometry>
+struct default_strategy
+ : strategy_convex_hull
+ <
+ Geometry,
+ typename point_type<Geometry>::type
+ >
+{};
+
+
+}} // namespace detail::convex_hull
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename Geometry,
+ typename Strategy = typename detail::convex_hull::default_strategy<Geometry>::type,
+ typename Tag = typename tag<Geometry>::type
+>
+struct convex_hull
+ : detail::convex_hull::hull_to_geometry<Geometry, Strategy>
+{};
+
+template
+<
+ typename Box,
+ typename Strategy
+>
+struct convex_hull<Box, Strategy, box_tag>
+{
+ template <typename OutputGeometry>
+ static inline void apply(Box const& box, OutputGeometry& out,
+ Strategy const& )
+ {
+ static bool const Close
+ = geometry::closure<OutputGeometry>::value == closed;
+ static bool const Reverse
+ = geometry::point_order<OutputGeometry>::value == counterclockwise;
+
+ // A hull for boxes is trivial. Any strategy is (currently) skipped.
+ boost::array<typename point_type<Box>::type, 4> range;
+ geometry::detail::assign_box_corners_oriented<Reverse>(box, range);
+ geometry::append(out, range);
+ if (Close)
+ {
+ geometry::append(out, *boost::begin(range));
+ }
+ }
+};
+
+
+
+template
+<
+ order_selector Order,
+ typename Geometry, typename Strategy
+>
+struct convex_hull_insert
+ : detail::convex_hull::hull_insert<Geometry, Order, Strategy>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+template<typename Geometry, typename OutputGeometry, typename Strategy>
+inline void convex_hull(Geometry const& geometry,
+ OutputGeometry& out, Strategy const& strategy)
+{
+ concept::check_concepts_and_equal_dimensions
+ <
+ const Geometry,
+ OutputGeometry
+ >();
+
+ BOOST_CONCEPT_ASSERT( (geometry::concept::ConvexHullStrategy<Strategy>) );
+
+ if (geometry::num_points(geometry) == 0)
+ {
+ // Leave output empty
+ return;
+ }
+
+ dispatch::convex_hull
+ <
+ Geometry,
+ 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 Geometry, typename OutputGeometry>
+inline void convex_hull(Geometry const& geometry,
+ OutputGeometry& hull)
+{
+ concept::check_concepts_and_equal_dimensions
+ <
+ const Geometry,
+ OutputGeometry
+ >();
+
+ typedef typename detail::convex_hull::default_strategy<Geometry>::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
+ <
+ 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 detail::convex_hull::default_strategy<Geometry>::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
diff --git a/boost/geometry/algorithms/correct.hpp b/boost/geometry/algorithms/correct.hpp
new file mode 100644
index 0000000000..583e395f8e
--- /dev/null
+++ b/boost/geometry/algorithms/correct.hpp
@@ -0,0 +1,265 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& )
+ {}
+
+};
+
+
+// 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;
+ typedef typename default_area_result<Ring>::type area_result_type;
+ area_result_type const zero = area_result_type();
+ 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 default_area_result<Polygon>::type area_result_type;
+
+ static inline void apply(Polygon& poly)
+ {
+ correct_ring
+ <
+ ring_type,
+ std::less<area_result_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<area_result_type>
+ >::apply(*it);
+ }
+ }
+};
+
+
+}} // namespace detail::correct
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Geometry, typename Tag = typename tag<Geometry>::type>
+struct correct: not_implemented<Tag>
+{};
+
+template <typename Point>
+struct correct<Point, point_tag>
+ : detail::correct::correct_nop<Point>
+{};
+
+template <typename LineString>
+struct correct<LineString, linestring_tag>
+ : detail::correct::correct_nop<LineString>
+{};
+
+template <typename Segment>
+struct correct<Segment, segment_tag>
+ : detail::correct::correct_nop<Segment>
+{};
+
+
+template <typename Box>
+struct correct<Box, box_tag>
+ : detail::correct::correct_box<Box>
+{};
+
+template <typename Ring>
+struct correct<Ring, ring_tag>
+ : detail::correct::correct_ring
+ <
+ Ring,
+ std::less<typename default_area_result<Ring>::type>
+ >
+{};
+
+template <typename Polygon>
+struct correct<Polygon, polygon_tag>
+ : 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<Geometry>::apply(geometry);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_CORRECT_HPP
diff --git a/boost/geometry/algorithms/covered_by.hpp b/boost/geometry/algorithms/covered_by.hpp
new file mode 100644
index 0000000000..c3c406c4ca
--- /dev/null
+++ b/boost/geometry/algorithms/covered_by.hpp
@@ -0,0 +1,195 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/not_implemented.hpp>
+#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 Geometry1,
+ typename Geometry2,
+ typename Tag1 = typename tag<Geometry1>::type,
+ typename Tag2 = typename tag<Geometry2>::type
+>
+struct covered_by: not_implemented<Tag1, Tag2>
+{};
+
+
+template <typename Point, typename Box>
+struct covered_by<Point, Box, point_tag, box_tag>
+{
+ template <typename Strategy>
+ static inline bool apply(Point const& point, Box const& box, Strategy const& strategy)
+ {
+ return strategy.apply(point, box);
+ }
+};
+
+template <typename Box1, typename Box2>
+struct covered_by<Box1, Box2, box_tag, box_tag>
+{
+ template <typename 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>
+struct covered_by<Point, Ring, point_tag, ring_tag>
+{
+ template <typename 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) >= 0;
+ }
+};
+
+template <typename Point, typename Polygon>
+struct covered_by<Point, Polygon, point_tag, polygon_tag>
+{
+ template <typename 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 which might be inside or on the border of the second geometry
+\param geometry2 \param_geometry which might cover the first geometry
+\return true if geometry1 is inside of or on the border of geometry2,
+ else false
+\note The default strategy is used for covered_by detection
+
+\qbk{[include reference/algorithms/covered_by.qbk]}
+
+ */
+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
+ <
+ Geometry1,
+ Geometry2
+ >::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 which might be inside or on the border of the second geometry
+\param geometry2 \param_geometry which might cover the first geometry
+\param strategy strategy to be used
+\return true if geometry1 is inside of or on the border of geometry2,
+ else false
+
+\qbk{distinguish,with strategy}
+\qbk{[include reference/algorithms/covered_by.qbk]}
+
+*/
+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
+ <
+ Geometry1,
+ Geometry2
+ >::apply(geometry1, geometry2, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_COVERED_BY_HPP
diff --git a/boost/geometry/algorithms/detail/as_range.hpp b/boost/geometry/algorithms/detail/as_range.hpp
new file mode 100644
index 0000000000..d0dfb07e43
--- /dev/null
+++ b/boost/geometry/algorithms/detail/as_range.hpp
@@ -0,0 +1,107 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/assign_box_corners.hpp b/boost/geometry/algorithms/detail/assign_box_corners.hpp
new file mode 100644
index 0000000000..1fd41733f2
--- /dev/null
+++ b/boost/geometry/algorithms/detail/assign_box_corners.hpp
@@ -0,0 +1,93 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/assign_indexed_point.hpp b/boost/geometry/algorithms/detail/assign_indexed_point.hpp
new file mode 100644
index 0000000000..a1cffb80a7
--- /dev/null
+++ b/boost/geometry/algorithms/detail/assign_indexed_point.hpp
@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/assign_values.hpp b/boost/geometry/algorithms/detail/assign_values.hpp
new file mode 100644
index 0000000000..ed4713493f
--- /dev/null
+++ b/boost/geometry/algorithms/detail/assign_values.hpp
@@ -0,0 +1,443 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/calculate_null.hpp b/boost/geometry/algorithms/detail/calculate_null.hpp
new file mode 100644
index 0000000000..4b48d62fc2
--- /dev/null
+++ b/boost/geometry/algorithms/detail/calculate_null.hpp
@@ -0,0 +1,38 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/calculate_sum.hpp b/boost/geometry/algorithms/detail/calculate_sum.hpp
new file mode 100644
index 0000000000..2ad349080b
--- /dev/null
+++ b/boost/geometry/algorithms/detail/calculate_sum.hpp
@@ -0,0 +1,64 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/convert_indexed_to_indexed.hpp b/boost/geometry/algorithms/detail/convert_indexed_to_indexed.hpp
new file mode 100644
index 0000000000..d39824a61d
--- /dev/null
+++ b/boost/geometry/algorithms/detail/convert_indexed_to_indexed.hpp
@@ -0,0 +1,80 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_INDEXED_TO_INDEXED_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_CONVERT_INDEXED_TO_INDEXED_HPP
+
+
+#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 indexed_to_indexed
+{
+ static inline void apply(Source const& source, Destination& destination)
+ {
+ typedef typename coordinate_type<Destination>::type coordinate_type;
+
+ geometry::set<min_corner, Dimension>(destination,
+ boost::numeric_cast<coordinate_type>(
+ geometry::get<min_corner, Dimension>(source)));
+ geometry::set<max_corner, Dimension>(destination,
+ boost::numeric_cast<coordinate_type>(
+ geometry::get<max_corner, Dimension>(source)));
+
+ indexed_to_indexed
+ <
+ Source, Destination,
+ Dimension + 1, DimensionCount
+ >::apply(source, destination);
+ }
+};
+
+template
+<
+ typename Source,
+ typename Destination,
+ std::size_t DimensionCount
+>
+struct indexed_to_indexed<Source, Destination, DimensionCount, DimensionCount>
+{
+ static inline void apply(Source const& , Destination& )
+ {}
+};
+
+
+}} // namespace detail::conversion
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_CONVERT_INDEXED_TO_INDEXED_HPP
diff --git a/boost/geometry/algorithms/detail/convert_point_to_point.hpp b/boost/geometry/algorithms/detail/convert_point_to_point.hpp
new file mode 100644
index 0000000000..c7d37b6ca4
--- /dev/null
+++ b/boost/geometry/algorithms/detail/convert_point_to_point.hpp
@@ -0,0 +1,68 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/disjoint.hpp b/boost/geometry/algorithms/detail/disjoint.hpp
new file mode 100644
index 0000000000..2ced5b1ce3
--- /dev/null
+++ b/boost/geometry/algorithms/detail/disjoint.hpp
@@ -0,0 +1,225 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/equals/collect_vectors.hpp b/boost/geometry/algorithms/detail/equals/collect_vectors.hpp
new file mode 100644
index 0000000000..9c2fe28057
--- /dev/null
+++ b/boost/geometry/algorithms/detail/equals/collect_vectors.hpp
@@ -0,0 +1,315 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/for_each_range.hpp b/boost/geometry/algorithms/detail/for_each_range.hpp
new file mode 100644
index 0000000000..b10017c209
--- /dev/null
+++ b/boost/geometry/algorithms/detail/for_each_range.hpp
@@ -0,0 +1,148 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/mpl/assert.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
+ }
+};
+
+template <typename Box, typename Actor, bool IsConst>
+struct fe_range_box
+{
+ static inline void apply(
+ typename add_const_if_c<IsConst, Box>::type& box,
+ Actor& actor)
+ {
+ actor.apply(box_view<Box>(box));
+ }
+};
+
+
+}} // 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
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+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>
+{};
+
+template <typename Box, typename Actor, bool IsConst>
+struct for_each_range<box_tag, Box, Actor, IsConst>
+ : detail::for_each::fe_range_box<Box, 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
diff --git a/boost/geometry/algorithms/detail/has_self_intersections.hpp b/boost/geometry/algorithms/detail/has_self_intersections.hpp
new file mode 100644
index 0000000000..1e6215ed93
--- /dev/null
+++ b/boost/geometry/algorithms/detail/has_self_intersections.hpp
@@ -0,0 +1,120 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 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/io/dsv/write.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
+
diff --git a/boost/geometry/algorithms/detail/not.hpp b/boost/geometry/algorithms/detail/not.hpp
new file mode 100644
index 0000000000..abc3a4e168
--- /dev/null
+++ b/boost/geometry/algorithms/detail/not.hpp
@@ -0,0 +1,50 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/overlay/add_rings.hpp b/boost/geometry/algorithms/detail/overlay/add_rings.hpp
new file mode 100644
index 0000000000..eb3e60e483
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/add_rings.hpp
@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp b/boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp
new file mode 100644
index 0000000000..2c0f88e2aa
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp
@@ -0,0 +1,53 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/assign_parents.hpp b/boost/geometry/algorithms/detail/overlay/assign_parents.hpp
new file mode 100644
index 0000000000..133530563e
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/assign_parents.hpp
@@ -0,0 +1,337 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp b/boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp
new file mode 100644
index 0000000000..012b3aca30
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/backtrack_check_si.hpp
@@ -0,0 +1,170 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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/core/access.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.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/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
diff --git a/boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp b/boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp
new file mode 100644
index 0000000000..3e6a8897f5
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/calculate_distance_policy.hpp
@@ -0,0 +1,55 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
+{
+ static bool const include_no_turn = false;
+ static bool const include_degenerate = false;
+
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/check_enrich.hpp b/boost/geometry/algorithms/detail/overlay/check_enrich.hpp
new file mode 100644
index 0000000000..b210fd04b1
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/check_enrich.hpp
@@ -0,0 +1,172 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/clip_linestring.hpp b/boost/geometry/algorithms/detail/overlay/clip_linestring.hpp
new file mode 100644
index 0000000000..fc4f657322
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/clip_linestring.hpp
@@ -0,0 +1,242 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/convert_ring.hpp b/boost/geometry/algorithms/detail/overlay/convert_ring.hpp
new file mode 100644
index 0000000000..05bd721e7f
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/convert_ring.hpp
@@ -0,0 +1,99 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp b/boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp
new file mode 100644
index 0000000000..379444428f
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp
@@ -0,0 +1,295 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/copy_segments.hpp b/boost/geometry/algorithms/detail/overlay/copy_segments.hpp
new file mode 100644
index 0000000000..b0183a3ac2
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/copy_segments.hpp
@@ -0,0 +1,328 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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 LineString,
+ bool Reverse,
+ typename SegmentIdentifier,
+ typename RangeOut
+>
+struct copy_segments_linestring
+{
+
+ typedef typename boost::range_iterator<LineString const>::type iterator;
+
+ static inline void apply(LineString const& ls,
+ SegmentIdentifier const& seg_id, int to_index,
+ RangeOut& current_output)
+ {
+ int const from_index = seg_id.segment_index + 1;
+
+ // Sanity check
+ if (from_index > to_index || from_index < 0 || to_index >= boost::size(ls))
+ {
+ return;
+ }
+
+ typedef typename boost::range_difference<LineString>::type size_type;
+ size_type const count = to_index - from_index + 1;
+
+ typename boost::range_iterator<LineString const>::type it = boost::begin(ls) + from_index;
+
+ 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 LineString,
+ bool Reverse,
+ typename SegmentIdentifier,
+ typename RangeOut
+>
+struct copy_segments<linestring_tag, LineString, Reverse, SegmentIdentifier, RangeOut>
+ : detail::copy_segments::copy_segments_linestring
+ <
+ LineString, 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
diff --git a/boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp b/boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp
new file mode 100644
index 0000000000..0bec816946
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp
@@ -0,0 +1,64 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp b/boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp
new file mode 100644
index 0000000000..e4842d35f1
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/enrich_intersection_points.hpp
@@ -0,0 +1,523 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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/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 ,
+ Geometry1 const& , Geometry2 const& ,
+ Strategy const& )
+{
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/enrichment_info.hpp b/boost/geometry/algorithms/detail/overlay/enrichment_info.hpp
new file mode 100644
index 0000000000..8c8ed96189
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/enrichment_info.hpp
@@ -0,0 +1,76 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/follow.hpp b/boost/geometry/algorithms/detail/overlay/follow.hpp
new file mode 100644
index 0000000000..087092a5f2
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/follow.hpp
@@ -0,0 +1,416 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_FOLLOW_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_FOLLOW_HPP
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/algorithms/detail/point_on_border.hpp>
+#include <boost/geometry/algorithms/detail/overlay/append_no_duplicates.hpp>
+#include <boost/geometry/algorithms/detail/overlay/copy_segments.hpp>
+#include <boost/geometry/algorithms/detail/overlay/turn_info.hpp>
+
+#include <boost/geometry/algorithms/covered_by.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+namespace following
+{
+
+template <typename Turn, typename Operation>
+static inline bool is_entering(Turn const& /* TODO remove this parameter */, Operation const& op)
+{
+ // (Blocked means: blocked for polygon/polygon intersection, because
+ // they are reversed. But for polygon/line it is similar to continue)
+ return op.operation == operation_intersection
+ || op.operation == operation_continue
+ || op.operation == operation_blocked
+ ;
+}
+
+template
+<
+ typename Turn,
+ typename Operation,
+ typename LineString,
+ typename Polygon
+>
+static inline bool last_covered_by(Turn const& turn, Operation const& op,
+ LineString const& linestring, Polygon const& polygon)
+{
+ // Check any point between the this one and the first IP
+ typedef typename geometry::point_type<LineString>::type point_type;
+ point_type point_in_between;
+ detail::point_on_border::midpoint_helper
+ <
+ point_type,
+ 0, dimension<point_type>::value
+ >::apply(point_in_between, linestring[op.seg_id.segment_index], turn.point);
+
+ return geometry::covered_by(point_in_between, polygon);
+}
+
+
+template
+<
+ typename Turn,
+ typename Operation,
+ typename LineString,
+ typename Polygon
+>
+static inline bool is_leaving(Turn const& turn, Operation const& op,
+ bool entered, bool first,
+ LineString const& linestring, Polygon const& polygon)
+{
+ if (op.operation == operation_union)
+ {
+ return entered
+ || turn.method == method_crosses
+ || (first && last_covered_by(turn, op, linestring, polygon))
+ ;
+ }
+ return false;
+}
+
+
+template
+<
+ typename Turn,
+ typename Operation,
+ typename LineString,
+ typename Polygon
+>
+static inline bool is_staying_inside(Turn const& turn, Operation const& op,
+ bool entered, bool first,
+ LineString const& linestring, Polygon const& polygon)
+{
+ if (turn.method == method_crosses)
+ {
+ // The normal case, this is completely covered with entering/leaving
+ // so stay out of this time consuming "covered_by"
+ return false;
+ }
+
+ if (is_entering(turn, op))
+ {
+ return entered || (first && last_covered_by(turn, op, linestring, polygon));
+ }
+
+ return false;
+}
+
+template
+<
+ typename Turn,
+ typename Operation,
+ typename Linestring,
+ typename Polygon
+>
+static inline bool was_entered(Turn const& turn, Operation const& op, bool first,
+ Linestring const& linestring, Polygon const& polygon)
+{
+ if (first && (turn.method == method_collinear || turn.method == method_equal))
+ {
+ return last_covered_by(turn, op, linestring, polygon);
+ }
+ return false;
+}
+
+
+// Template specialization structure to call the right actions for the right type
+template<overlay_type OverlayType>
+struct action_selector
+{
+ // If you get here the overlay type is not intersection or difference
+ // BOOST_MPL_ASSERT(false);
+};
+
+// Specialization for intersection, containing the implementation
+template<>
+struct action_selector<overlay_intersection>
+{
+ template
+ <
+ typename OutputIterator,
+ typename LineStringOut,
+ typename LineString,
+ typename Point,
+ typename Operation
+ >
+ static inline void enter(LineStringOut& current_piece,
+ LineString const& ,
+ segment_identifier& segment_id,
+ int , Point const& point,
+ Operation const& operation, OutputIterator& )
+ {
+ // On enter, append the intersection point and remember starting point
+ detail::overlay::append_no_duplicates(current_piece, point);
+ segment_id = operation.seg_id;
+ }
+
+ template
+ <
+ typename OutputIterator,
+ typename LineStringOut,
+ typename LineString,
+ typename Point,
+ typename Operation
+ >
+ static inline void leave(LineStringOut& current_piece,
+ LineString const& linestring,
+ segment_identifier& segment_id,
+ int index, Point const& point,
+ Operation const& , OutputIterator& out)
+ {
+ // On leave, copy all segments from starting point, append the intersection point
+ // and add the output piece
+ geometry::copy_segments<false>(linestring, segment_id, index, current_piece);
+ detail::overlay::append_no_duplicates(current_piece, point);
+ if (current_piece.size() > 1)
+ {
+ *out++ = current_piece;
+ }
+ current_piece.clear();
+ }
+
+ static inline bool is_entered(bool entered)
+ {
+ return entered;
+ }
+
+ template <typename Point, typename Geometry>
+ static inline bool included(Point const& point, Geometry const& geometry)
+ {
+ return geometry::covered_by(point, geometry);
+ }
+
+};
+
+// Specialization for difference, which reverses these actions
+template<>
+struct action_selector<overlay_difference>
+{
+ typedef action_selector<overlay_intersection> normal_action;
+
+ template
+ <
+ typename OutputIterator,
+ typename LineStringOut,
+ typename LineString,
+ typename Point,
+ typename Operation
+ >
+ static inline void enter(LineStringOut& current_piece,
+ LineString const& linestring,
+ segment_identifier& segment_id,
+ int index, Point const& point,
+ Operation const& operation, OutputIterator& out)
+ {
+ normal_action::leave(current_piece, linestring, segment_id, index,
+ point, operation, out);
+ }
+
+ template
+ <
+ typename OutputIterator,
+ typename LineStringOut,
+ typename LineString,
+ typename Point,
+ typename Operation
+ >
+ static inline void leave(LineStringOut& current_piece,
+ LineString const& linestring,
+ segment_identifier& segment_id,
+ int index, Point const& point,
+ Operation const& operation, OutputIterator& out)
+ {
+ normal_action::enter(current_piece, linestring, segment_id, index,
+ point, operation, out);
+ }
+
+ static inline bool is_entered(bool entered)
+ {
+ return ! normal_action::is_entered(entered);
+ }
+
+ template <typename Point, typename Geometry>
+ static inline bool included(Point const& point, Geometry const& geometry)
+ {
+ return ! normal_action::included(point, geometry);
+ }
+
+};
+
+}
+
+/*!
+\brief Follows a linestring from intersection point to intersection point, outputting which
+ is inside, or outside, a ring or polygon
+\ingroup overlay
+ */
+template
+<
+ typename LineStringOut,
+ typename LineString,
+ typename Polygon,
+ overlay_type OverlayType
+>
+class follow
+{
+
+ template<typename Turn>
+ struct sort_on_segment
+ {
+ // In case of turn point at the same location, we want to have continue/blocked LAST
+ // because that should be followed (intersection) or skipped (difference).
+ // By chance the enumeration is ordered like that but we keep the safe way here.
+ inline int operation_order(Turn const& turn) const
+ {
+ operation_type const& operation = turn.operations[0].operation;
+ switch(operation)
+ {
+ case operation_none : return 0;
+ case operation_union : return 1;
+ case operation_intersection : return 2;
+ case operation_blocked : return 3;
+ case operation_continue : return 4;
+ }
+ return -1;
+ };
+
+ inline bool use_operation(Turn const& left, Turn const& right) const
+ {
+ // If they are the same, OK.
+ return operation_order(left) < operation_order(right);
+ }
+
+ inline bool use_distance(Turn const& left, Turn const& right) const
+ {
+ return geometry::math::equals(left.operations[0].enriched.distance, right.operations[0].enriched.distance)
+ ? use_operation(left, right)
+ : left.operations[0].enriched.distance < right.operations[0].enriched.distance
+ ;
+ }
+
+ inline bool operator()(Turn const& left, Turn const& right) const
+ {
+ segment_identifier const& sl = left.operations[0].seg_id;
+ segment_identifier const& sr = right.operations[0].seg_id;
+
+ return sl == sr
+ ? use_distance(left, right)
+ : sl < sr
+ ;
+
+ }
+ };
+
+
+
+public :
+
+ template <typename Point, typename Geometry>
+ static inline bool included(Point const& point, Geometry const& geometry)
+ {
+ return following::action_selector<OverlayType>::included(point, geometry);
+ }
+
+ template<typename Turns, typename OutputIterator>
+ static inline OutputIterator apply(LineString const& linestring, Polygon const& polygon,
+ detail::overlay::operation_type , // TODO: this parameter might be redundant
+ Turns& turns, OutputIterator out)
+ {
+ 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;
+
+ typedef following::action_selector<OverlayType> action;
+
+ // Sort intersection points on segments-along-linestring, and distance
+ // (like in enrich is done for poly/poly)
+ std::sort(boost::begin(turns), boost::end(turns), sort_on_segment<turn_type>());
+
+ LineStringOut current_piece;
+ geometry::segment_identifier current_segment_id(0, -1, -1, -1);
+
+ // Iterate through all intersection points (they are ordered along the line)
+ bool entered = false;
+ bool first = true;
+ for (turn_iterator it = boost::begin(turns); it != boost::end(turns); ++it)
+ {
+ turn_operation_iterator_type iit = boost::begin(it->operations);
+
+ if (following::was_entered(*it, *iit, first, linestring, polygon))
+ {
+ debug_traverse(*it, *iit, "-> Was entered");
+ entered = true;
+ }
+
+ if (following::is_staying_inside(*it, *iit, entered, first, linestring, polygon))
+ {
+ debug_traverse(*it, *iit, "-> Staying inside");
+
+ entered = true;
+ }
+ else if (following::is_entering(*it, *iit))
+ {
+ debug_traverse(*it, *iit, "-> Entering");
+
+ entered = true;
+ action::enter(current_piece, linestring, current_segment_id, iit->seg_id.segment_index, it->point, *iit, out);
+ }
+ else if (following::is_leaving(*it, *iit, entered, first, linestring, polygon))
+ {
+ debug_traverse(*it, *iit, "-> Leaving");
+
+ entered = false;
+ action::leave(current_piece, linestring, current_segment_id, iit->seg_id.segment_index, it->point, *iit, out);
+ }
+ first = false;
+ }
+
+ if (action::is_entered(entered))
+ {
+ geometry::copy_segments<false>(linestring, current_segment_id,
+ boost::size(linestring) - 1,
+ current_piece);
+ }
+
+ // Output the last one, if applicable
+ if (current_piece.size() > 1)
+ {
+ *out++ = current_piece;
+ }
+ return out;
+ }
+
+};
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_FOLLOW_HPP
diff --git a/boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp b/boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp
new file mode 100644
index 0000000000..019c3ba3f9
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/get_intersection_points.hpp
@@ -0,0 +1,146 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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& ,
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/get_relative_order.hpp b/boost/geometry/algorithms/detail/overlay/get_relative_order.hpp
new file mode 100644
index 0000000000..522ef68382
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/get_relative_order.hpp
@@ -0,0 +1,108 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/get_ring.hpp b/boost/geometry/algorithms/detail/overlay/get_ring.hpp
new file mode 100644
index 0000000000..ad47665500
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/get_ring.hpp
@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/get_turn_info.hpp b/boost/geometry/algorithms/detail/overlay/get_turn_info.hpp
new file mode 100644
index 0000000000..663d70d9af
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/get_turn_info.hpp
@@ -0,0 +1,956 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
+{
+
+#if ! defined(BOOST_GEOMETRY_OVERLAY_NO_THROW)
+class turn_info_exception : public geometry::exception
+{
+ std::string message;
+public:
+
+ // NOTE: "char" will be replaced by enum in future version
+ inline turn_info_exception(char const method)
+ {
+ message = "Boost.Geometry Turn exception: ";
+ message += method;
+ }
+
+ virtual ~turn_info_exception() throw()
+ {}
+
+ virtual char const* what() const throw()
+ {
+ return message.c_str();
+ }
+};
+#endif
+
+#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& ,
+ 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& , Point2 const& qj, Point2 const& qk,
+ TurnInfo& ti,
+ IntersectionInfo const& intersection_info,
+ DirInfo const& )
+ {
+ 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& , Point1 const& , Point1 const& ,
+ Point2 const& , Point2 const& , Point2 const& ,
+ 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;
+ }
+};
+
+template<typename TurnInfo>
+struct only_convert
+{
+ template<typename IntersectionInfo>
+ static inline void apply(TurnInfo& ti, IntersectionInfo const& intersection_info)
+ {
+ ti.method = method_collinear;
+ geometry::convert(intersection_info.intersections[0], ti.point);
+ ti.operations[0].operation = operation_continue;
+ ti.operations[1].operation = operation_continue;
+ }
+};
+
+/*!
+\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
+{
+ static bool const include_no_turn = false;
+ static bool const include_degenerate = false;
+
+ template <typename Point1, typename Point2, typename Info>
+ static inline void apply(Info& , Point1 const& , Point2 const& )
+ {}
+
+};
+
+
+/*!
+ \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.
+ It also defines if a certain class of points
+ (degenerate, non-turns) should be included.
+ */
+template
+<
+ typename Point1,
+ typename Point2,
+ typename TurnInfo,
+ typename AssignPolicy
+>
+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' : // collinear, "at"
+ case 'f' : // collinear, "from"
+ case 's' : // starts from the middle
+ if (AssignPolicy::include_no_turn
+ && result.template get<0>().count > 0)
+ {
+ only_convert<TurnInfo>::apply(tp,
+ result.template get<0>());
+ AssignPolicy::apply(tp, pi, qi);
+ *out++ = tp;
+ }
+ break;
+
+ case 'd' : // disjoint: never do anything
+ 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
+ if (AssignPolicy::include_degenerate)
+ {
+ only_convert<TurnInfo>::apply(tp, result.template get<0>());
+ AssignPolicy::apply(tp, pi, qi);
+ *out++ = tp;
+ }
+ }
+ break;
+ default :
+ {
+#if ! defined(BOOST_GEOMETRY_OVERLAY_NO_THROW)
+ throw turn_info_exception(method);
+#endif
+ }
+ break;
+ }
+
+ return out;
+ }
+};
+
+
+}} // namespace detail::overlay
+#endif //DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_OVERLAY_GET_TURN_INFO_HPP
diff --git a/boost/geometry/algorithms/detail/overlay/get_turns.hpp b/boost/geometry/algorithms/detail/overlay/get_turns.hpp
new file mode 100644
index 0000000000..5740a8b7ba
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/get_turns.hpp
@@ -0,0 +1,866 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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/io/dsv/write.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,
+ bool skip_larger,
+ 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 = (skip_larger && 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,
+ false,
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp b/boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp
new file mode 100644
index 0000000000..1e878ca525
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/handle_tangencies.hpp
@@ -0,0 +1,672 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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;
+ }
+
+
+#ifdef BOOST_GEOMETRY_DEBUG_ENRICH
+ 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;
+
+ 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;
+ }
+#else
+ inline void debug_consider(int, Indexed const& ,
+ Indexed const& , std::string const& ,
+ bool = true,
+ std::string const& = "", bool = false
+ ) const
+ {}
+#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 ,
+ Geometry1 const& , Geometry2 const& ,
+ Strategy const& )
+{
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/intersection_insert.hpp b/boost/geometry/algorithms/detail/overlay/intersection_insert.hpp
new file mode 100644
index 0000000000..8bca790d74
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/intersection_insert.hpp
@@ -0,0 +1,690 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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/point_on_border.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/algorithms/detail/overlay/follow.hpp>
+#include <boost/geometry/views/segment_view.hpp>
+
+#if defined(BOOST_GEOMETRY_DEBUG_FOLLOW)
+#include <boost/foreach.hpp>
+#endif
+
+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& )
+ {
+ 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& )
+ {
+ 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;
+ }
+};
+
+/*!
+\brief Version of linestring with an areal feature (polygon or multipolygon)
+*/
+template
+<
+ typename LineString, typename Areal,
+ bool ReverseAreal,
+ typename OutputIterator, typename LineStringOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_of_linestring_with_areal
+{
+ typedef detail::overlay::follow
+ <
+ LineStringOut,
+ LineString,
+ Areal,
+ OverlayType
+ > follower;
+
+#if defined(BOOST_GEOMETRY_DEBUG_FOLLOW)
+ template <typename Turn, typename Operation>
+ static inline void debug_follow(Turn const& turn, Operation op,
+ int index)
+ {
+ std::cout << index
+ << " at " << op.seg_id
+ << " meth: " << method_char(turn.method)
+ << " op: " << operation_char(op.operation)
+ << " vis: " << visited_char(op.visited)
+ << " of: " << operation_char(turn.operations[0].operation)
+ << operation_char(turn.operations[1].operation)
+ << " " << geometry::wkt(turn.point)
+ << std::endl;
+ }
+#endif
+
+ static inline OutputIterator apply(LineString const& linestring, Areal const& areal,
+ OutputIterator out,
+ Strategy const& )
+ {
+ if (boost::size(linestring) == 0)
+ {
+ return out;
+ }
+
+ typedef typename point_type<LineStringOut>::type point_type;
+
+ typedef detail::overlay::traversal_turn_info<point_type> turn_info;
+ std::deque<turn_info> turns;
+
+ detail::get_turns::no_interrupt_policy policy;
+ geometry::get_turns
+ <
+ false,
+ (OverlayType == overlay_intersection ? ReverseAreal : !ReverseAreal),
+ detail::overlay::calculate_distance_policy
+ >(linestring, areal, turns, policy);
+
+ if (turns.empty())
+ {
+ // No intersection points, it is either completely
+ // inside (interior + borders)
+ // or completely outside
+
+ // Use border point (on a segment) to check this
+ // (because turn points might skip some cases)
+ point_type border_point;
+ if (! geometry::point_on_border(border_point, linestring, true))
+ {
+ return out;
+ }
+
+
+ if (follower::included(border_point, areal))
+ {
+ LineStringOut copy;
+ geometry::convert(linestring, copy);
+ *out++ = copy;
+ }
+ return out;
+ }
+
+#if defined(BOOST_GEOMETRY_DEBUG_FOLLOW)
+ int index = 0;
+ BOOST_FOREACH(turn_info const& turn, turns)
+ {
+ debug_follow(turn, turn.operations[0], index++);
+ }
+#endif
+
+ return follower::apply
+ (
+ linestring, areal,
+ geometry::detail::overlay::operation_intersection,
+ turns, 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& )
+ {
+ 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 Linestring, typename Polygon,
+ bool ReverseLinestring, bool ReversePolygon, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ linestring_tag, polygon_tag, linestring_tag,
+ false, true, false,
+ Linestring, Polygon,
+ ReverseLinestring, ReversePolygon, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_linestring_with_areal
+ <
+ Linestring, Polygon,
+ ReversePolygon,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+
+template
+<
+ typename Linestring, typename Ring,
+ bool ReverseLinestring, bool ReverseRing, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ linestring_tag, ring_tag, linestring_tag,
+ false, true, false,
+ Linestring, Ring,
+ ReverseLinestring, ReverseRing, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_linestring_with_areal
+ <
+ Linestring, Ring,
+ ReverseRing,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ 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& )
+ {
+ 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& )
+ {
+
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/overlay.hpp b/boost/geometry/algorithms/detail/overlay/overlay.hpp
new file mode 100644
index 0000000000..ab5b6d123d
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/overlay.hpp
@@ -0,0 +1,301 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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/io/dsv/write.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;
+ }
+
+ if (geometry::num_points(geometry1) == 0
+ || geometry::num_points(geometry2) == 0)
+ {
+ return return_if_one_input_is_empty
+ <
+ GeometryOut, Direction, ReverseOut
+ >(geometry1, geometry2, 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;
+
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/overlay_type.hpp b/boost/geometry/algorithms/detail/overlay/overlay_type.hpp
new file mode 100644
index 0000000000..af62131f0e
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/overlay_type.hpp
@@ -0,0 +1,29 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/ring_properties.hpp b/boost/geometry/algorithms/detail/overlay/ring_properties.hpp
new file mode 100644
index 0000000000..a6088694da
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/ring_properties.hpp
@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/segment_identifier.hpp b/boost/geometry/algorithms/detail/overlay/segment_identifier.hpp
new file mode 100644
index 0000000000..007113ffba
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/segment_identifier.hpp
@@ -0,0 +1,91 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/select_rings.hpp b/boost/geometry/algorithms/detail/overlay/select_rings.hpp
new file mode 100644
index 0000000000..f664b19514
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/select_rings.hpp
@@ -0,0 +1,295 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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& ,
+ 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& ,
+ 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& , 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& , 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
diff --git a/boost/geometry/algorithms/detail/overlay/self_turn_points.hpp b/boost/geometry/algorithms/detail/overlay/self_turn_points.hpp
new file mode 100644
index 0000000000..9c4c99394e
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/self_turn_points.hpp
@@ -0,0 +1,308 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
+{
+
+struct no_interrupt_policy
+{
+ static bool const enabled = false;
+ static bool const has_intersections = false;
+
+
+ template <typename Range>
+ static inline bool apply(Range const&)
+ {
+ return false;
+ }
+};
+
+
+
+
+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,
+ false,
+ 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
diff --git a/boost/geometry/algorithms/detail/overlay/stream_info.hpp b/boost/geometry/algorithms/detail/overlay/stream_info.hpp
new file mode 100644
index 0000000000..eebe381944
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/stream_info.hpp
@@ -0,0 +1,75 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/traversal_info.hpp b/boost/geometry/algorithms/detail/overlay/traversal_info.hpp
new file mode 100644
index 0000000000..810a27af04
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/traversal_info.hpp
@@ -0,0 +1,47 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/traverse.hpp b/boost/geometry/algorithms/detail/overlay/traverse.hpp
new file mode 100644
index 0000000000..12daafa0cf
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/traverse.hpp
@@ -0,0 +1,395 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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) \
+ || defined(BOOST_GEOMETRY_DEBUG_TRAVERSE)
+# include <string>
+# include <boost/geometry/algorithms/detail/overlay/debug_turn_info.hpp>
+# include <boost/geometry/io/wkt/wkt.hpp>
+#endif
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template <typename Turn, typename Operation>
+#ifdef BOOST_GEOMETRY_DEBUG_TRAVERSE
+inline void debug_traverse(Turn const& turn, Operation op,
+ std::string const& header)
+{
+ std::cout << header
+ << " at " << op.seg_id
+ << " meth: " << method_char(turn.method)
+ << " op: " << operation_char(op.operation)
+ << " vis: " << visited_char(op.visited)
+ << " of: " << operation_char(turn.operations[0].operation)
+ << operation_char(turn.operations[1].operation)
+ << " " << geometry::wkt(turn.point)
+ << std::endl;
+
+ if (boost::contains(header, "Finished"))
+ {
+ std::cout << std::endl;
+ }
+}
+#else
+inline void debug_traverse(Turn const& , Operation, std::string const& )
+{
+}
+#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
diff --git a/boost/geometry/algorithms/detail/overlay/turn_info.hpp b/boost/geometry/algorithms/detail/overlay/turn_info.hpp
new file mode 100644
index 0000000000..aa6b428f19
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/turn_info.hpp
@@ -0,0 +1,142 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/overlay/visit_info.hpp b/boost/geometry/algorithms/detail/overlay/visit_info.hpp
new file mode 100644
index 0000000000..6be63f42b4
--- /dev/null
+++ b/boost/geometry/algorithms/detail/overlay/visit_info.hpp
@@ -0,0 +1,136 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/partition.hpp b/boost/geometry/algorithms/detail/partition.hpp
new file mode 100644
index 0000000000..7a7de2cdd3
--- /dev/null
+++ b/boost/geometry/algorithms/detail/partition.hpp
@@ -0,0 +1,425 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 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/range/algorithm/copy.hpp>
+#include <boost/geometry/algorithms/assign.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_PARTITION_HPP
diff --git a/boost/geometry/algorithms/detail/point_on_border.hpp b/boost/geometry/algorithms/detail/point_on_border.hpp
new file mode 100644
index 0000000000..33177924aa
--- /dev/null
+++ b/boost/geometry/algorithms/detail/point_on_border.hpp
@@ -0,0 +1,243 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/ring_identifier.hpp b/boost/geometry/algorithms/detail/ring_identifier.hpp
new file mode 100644
index 0000000000..9209ee0304
--- /dev/null
+++ b/boost/geometry/algorithms/detail/ring_identifier.hpp
@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/detail/sections/range_by_section.hpp b/boost/geometry/algorithms/detail/sections/range_by_section.hpp
new file mode 100644
index 0000000000..ad62f232bd
--- /dev/null
+++ b/boost/geometry/algorithms/detail/sections/range_by_section.hpp
@@ -0,0 +1,131 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& )
+ {
+ 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
diff --git a/boost/geometry/algorithms/detail/sections/sectionalize.hpp b/boost/geometry/algorithms/detail/sections/sectionalize.hpp
new file mode 100644
index 0000000000..36bcbdd6e7
--- /dev/null
+++ b/boost/geometry/algorithms/detail/sections/sectionalize.hpp
@@ -0,0 +1,648 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/detail/throw_on_empty_input.hpp b/boost/geometry/algorithms/detail/throw_on_empty_input.hpp
new file mode 100644
index 0000000000..62328a0d87
--- /dev/null
+++ b/boost/geometry/algorithms/detail/throw_on_empty_input.hpp
@@ -0,0 +1,53 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_THROW_ON_EMPTY_INPUT_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_THROW_ON_EMPTY_INPUT_HPP
+
+#include <boost/geometry/core/exception.hpp>
+#include <boost/geometry/algorithms/num_points.hpp>
+
+// BSG 2012-02-06: we use this currently only for distance.
+// For other scalar results area,length,perimeter it is commented on purpose.
+// Reason is that for distance there is no other choice. distance of two
+// empty geometries (or one empty) should NOT return any value.
+// But for area it is no problem to be 0.
+// Suppose: area(intersection(a,b)). We (probably) don't want a throw there...
+
+// So decided that at least for Boost 1.49 this is commented for
+// scalar results, except distance.
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Geometry>
+inline void throw_on_empty_input(Geometry const& geometry)
+{
+#if ! defined(BOOST_GEOMETRY_EMPTY_INPUT_NO_THROW)
+ if (geometry::num_points(geometry) == 0)
+ {
+ throw empty_input_exception();
+ }
+#endif
+}
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_THROW_ON_EMPTY_INPUT_HPP
+
diff --git a/boost/geometry/algorithms/difference.hpp b/boost/geometry/algorithms/difference.hpp
new file mode 100644
index 0000000000..480dd928de
--- /dev/null
+++ b/boost/geometry/algorithms/difference.hpp
@@ -0,0 +1,160 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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 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, true>::value,
+ geometry::detail::overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+ OutputIterator, GeometryOut,
+ overlay_difference,
+ Strategy
+ >::apply(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
diff --git a/boost/geometry/algorithms/disjoint.hpp b/boost/geometry/algorithms/disjoint.hpp
new file mode 100644
index 0000000000..f36b8dbdd0
--- /dev/null
+++ b/boost/geometry/algorithms/disjoint.hpp
@@ -0,0 +1,270 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
+{
+
+struct assign_disjoint_policy
+{
+ // We want to include all points:
+ static bool const include_no_turn = true;
+ static bool const include_degenerate = true;
+
+ // We don't assign extra info:
+ template <typename Point1, typename Point2, typename Info>
+ static inline void apply(Info& , Point1 const& , Point2 const& )
+ {}
+};
+
+
+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;
+
+ // Specify two policies:
+ // 1) Stop at any intersection
+ // 2) In assignment, include also degenerate points (which are normally skipped)
+ disjoint_interrupt_policy policy;
+ geometry::get_turns
+ <
+ false, false,
+ assign_disjoint_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}
+
+\qbk{[include reference/algorithms/disjoint.qbk]}
+*/
+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
diff --git a/boost/geometry/algorithms/distance.hpp b/boost/geometry/algorithms/distance.hpp
new file mode 100644
index 0000000000..eca3b03c7b
--- /dev/null
+++ b/boost/geometry/algorithms/distance.hpp
@@ -0,0 +1,591 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/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/algorithms/not_implemented.hpp>
+#include <boost/geometry/algorithms/detail/throw_on_empty_input.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& )
+ {
+ 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;
+ }
+};
+
+
+// Helper metafunction for default strategy retrieval
+template <typename Geometry1, typename Geometry2>
+struct default_strategy
+ : strategy::distance::services::default_strategy
+ <
+ point_tag,
+ typename point_type<Geometry1>::type,
+ typename point_type<Geometry2>::type
+ >
+{};
+
+
+}} // namespace detail::distance
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+using strategy::distance::services::return_type;
+
+
+template
+<
+ typename Geometry1, typename Geometry2,
+ typename Strategy = typename detail::distance::default_strategy<Geometry1, Geometry2>::type,
+ typename Tag1 = typename tag_cast<typename tag<Geometry1>::type, multi_tag>::type,
+ typename Tag2 = typename tag_cast<typename tag<Geometry2>::type, multi_tag>::type,
+ typename StrategyTag = typename strategy::distance::services::tag<Strategy>::type,
+ bool Reverse = reverse_dispatch<Geometry1, Geometry2>::type::value
+>
+struct distance: not_implemented<Tag1, Tag2>
+{};
+
+
+// If reversal is needed, perform it
+template
+<
+ typename Geometry1, typename Geometry2, typename Strategy,
+ typename Tag1, typename Tag2, typename StrategyTag
+>
+struct distance
+<
+ Geometry1, Geometry2, Strategy,
+ Tag1, Tag2, StrategyTag,
+ true
+>
+ : distance<Geometry2, Geometry1, Strategy, Tag2, Tag1, StrategyTag, false>
+{
+ static inline typename return_type<Strategy>::type apply(
+ Geometry1 const& g1,
+ Geometry2 const& g2,
+ Strategy const& strategy)
+ {
+ return distance
+ <
+ Geometry2, Geometry1, Strategy,
+ Tag2, Tag1, StrategyTag,
+ false
+ >::apply(g2, g1, strategy);
+ }
+};
+
+// If reversal is needed and we got the strategy by default, invert it before
+// proceeding to the reversal.
+template
+<
+ typename Geometry1, typename Geometry2,
+ typename Tag1, typename Tag2, typename StrategyTag
+>
+struct distance
+<
+ Geometry1, Geometry2,
+ typename detail::distance::default_strategy<Geometry1, Geometry2>::type,
+ Tag1, Tag2, StrategyTag,
+ true
+>
+ : distance
+ <
+ Geometry2, Geometry1,
+ typename detail::distance::default_strategy<Geometry2, Geometry1>::type,
+ Tag2, Tag1, StrategyTag,
+ false
+ >
+{
+ typedef typename detail::distance::default_strategy<Geometry2, Geometry1>::type reversed_strategy;
+
+ static inline typename strategy::distance::services::return_type<reversed_strategy>::type apply(
+ Geometry1 const& g1,
+ Geometry2 const& g2,
+ typename detail::distance::default_strategy<Geometry1, Geometry2>::type const&)
+ {
+ return distance
+ <
+ Geometry2, Geometry1, reversed_strategy,
+ Tag2, Tag1, StrategyTag,
+ false
+ >::apply(g2, g1, reversed_strategy());
+ }
+};
+
+
+// Point-point
+template <typename P1, typename P2, typename Strategy>
+struct distance
+ <
+ P1, P2, Strategy,
+ point_tag, point_tag, strategy_tag_distance_point_point,
+ false
+ >
+ : 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, Linestring, Strategy,
+ point_tag, linestring_tag, strategy_tag_distance_point_point,
+ false
+>
+{
+
+ 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, Linestring, Strategy,
+ point_tag, linestring_tag, strategy_tag_distance_point_segment,
+ false
+>
+{
+ 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, Ring, Strategy,
+ point_tag, ring_tag, strategy_tag_distance_point_point,
+ false
+>
+{
+ 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, Polygon, Strategy,
+ point_tag, polygon_tag, strategy_tag_distance_point_point,
+ false
+>
+{
+ 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, Segment, Strategy,
+ point_tag, segment_tag, strategy_tag_distance_point_point,
+ false
+> : 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, Segment, Strategy,
+ point_tag, segment_tag, strategy_tag_distance_point_segment,
+ false
+>
+{
+ 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]);
+ }
+};
+
+
+
+} // 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>();
+
+ detail::throw_on_empty_input(geometry1);
+ detail::throw_on_empty_input(geometry2);
+
+ return dispatch::distance
+ <
+ Geometry1,
+ Geometry2,
+ Strategy
+ >::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>();
+
+ return distance(geometry1, geometry2,
+ typename detail::distance::default_strategy<Geometry1, Geometry2>::type());
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_DISTANCE_HPP
diff --git a/boost/geometry/algorithms/envelope.hpp b/boost/geometry/algorithms/envelope.hpp
new file mode 100644
index 0000000000..da34f6a783
--- /dev/null
+++ b/boost/geometry/algorithms/envelope.hpp
@@ -0,0 +1,273 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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}
+
+\qbk{[include reference/algorithms/envelope.qbk]}
+\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{[include reference/algorithms/envelope.qbk]}
+\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
diff --git a/boost/geometry/algorithms/equals.hpp b/boost/geometry/algorithms/equals.hpp
new file mode 100644
index 0000000000..6b094f76d0
--- /dev/null
+++ b/boost/geometry/algorithms/equals.hpp
@@ -0,0 +1,319 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
+
diff --git a/boost/geometry/algorithms/expand.hpp b/boost/geometry/algorithms/expand.hpp
new file mode 100644
index 0000000000..da7442b593
--- /dev/null
+++ b/boost/geometry/algorithms/expand.hpp
@@ -0,0 +1,319 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/for_each.hpp b/boost/geometry/algorithms/for_each.hpp
new file mode 100644
index 0000000000..671f26a70d
--- /dev/null
+++ b/boost/geometry/algorithms/for_each.hpp
@@ -0,0 +1,358 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& , Functor f)
+ {
+ // TODO: if non-const, we should extract the points from the segment
+ // and call the functor on those two points
+ 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{[include reference/algorithms/for_each_point.qbk]}
+\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{[include reference/algorithms/for_each_point.qbk]}
+\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{[include reference/algorithms/for_each_segment.qbk]}
+\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
+
+\qbk{[include reference/algorithms/for_each_segment.qbk]}
+*/
+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
diff --git a/boost/geometry/algorithms/intersection.hpp b/boost/geometry/algorithms/intersection.hpp
new file mode 100644
index 0000000000..8d3dd68b3a
--- /dev/null
+++ b/boost/geometry/algorithms/intersection.hpp
@@ -0,0 +1,237 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/intersects.hpp b/boost/geometry/algorithms/intersects.hpp
new file mode 100644
index 0000000000..f367f2e258
--- /dev/null
+++ b/boost/geometry/algorithms/intersects.hpp
@@ -0,0 +1,106 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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{[def __one_parameter__]}
+\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
diff --git a/boost/geometry/algorithms/length.hpp b/boost/geometry/algorithms/length.hpp
new file mode 100644
index 0000000000..de53a39e8f
--- /dev/null
+++ b/boost/geometry/algorithms/length.hpp
@@ -0,0 +1,204 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/algorithms/detail/throw_on_empty_input.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>();
+
+ // detail::throw_on_empty_input(geometry);
+
+ 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>();
+
+ // detail::throw_on_empty_input(geometry);
+
+ return dispatch::length
+ <
+ typename tag<Geometry>::type,
+ Geometry,
+ Strategy
+ >::apply(geometry, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_LENGTH_HPP
diff --git a/boost/geometry/algorithms/make.hpp b/boost/geometry/algorithms/make.hpp
new file mode 100644
index 0000000000..d0e3092492
--- /dev/null
+++ b/boost/geometry/algorithms/make.hpp
@@ -0,0 +1,200 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/not_implemented.hpp b/boost/geometry/algorithms/not_implemented.hpp
new file mode 100644
index 0000000000..008f111cc8
--- /dev/null
+++ b/boost/geometry/algorithms/not_implemented.hpp
@@ -0,0 +1,117 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_NOT_IMPLEMENTED_HPP
+#define BOOST_GEOMETRY_ALGORITHMS_NOT_IMPLEMENTED_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace info
+{
+ struct UNRECOGNIZED_GEOMETRY_TYPE {};
+ struct POINT {};
+ struct LINESTRING {};
+ struct POLYGON {};
+ struct RING {};
+ struct BOX {};
+ struct SEGMENT {};
+ struct MULTI_POINT {};
+ struct MULTI_LINESTRING {};
+ struct MULTI_POLYGON {};
+ struct GEOMETRY_COLLECTION {};
+ template <size_t D> struct DIMENSION {};
+}
+
+
+namespace nyi
+{
+
+
+struct not_implemented_tag {};
+
+template
+<
+ typename Term1,
+ typename Term2,
+ typename Term3
+>
+struct not_implemented_error
+{
+
+#ifndef BOOST_GEOMETRY_IMPLEMENTATION_STATUS_BUILD
+# define BOOST_GEOMETRY_IMPLEMENTATION_STATUS_BUILD false
+#endif
+
+ BOOST_MPL_ASSERT_MSG
+ (
+ BOOST_GEOMETRY_IMPLEMENTATION_STATUS_BUILD,
+ THIS_OPERATION_IS_NOT_OR_NOT_YET_IMPLEMENTED,
+ (
+ types<Term1, Term2, Term3>
+ )
+ );
+};
+
+template <typename Tag>
+struct tag_to_term
+{
+ typedef Tag type;
+};
+
+template <> struct tag_to_term<geometry_not_recognized_tag> { typedef info::UNRECOGNIZED_GEOMETRY_TYPE type; };
+template <> struct tag_to_term<point_tag> { typedef info::POINT type; };
+template <> struct tag_to_term<linestring_tag> { typedef info::LINESTRING type; };
+template <> struct tag_to_term<polygon_tag> { typedef info::POLYGON type; };
+template <> struct tag_to_term<ring_tag> { typedef info::RING type; };
+template <> struct tag_to_term<box_tag> { typedef info::BOX type; };
+template <> struct tag_to_term<segment_tag> { typedef info::SEGMENT type; };
+template <> struct tag_to_term<multi_point_tag> { typedef info::MULTI_POINT type; };
+template <> struct tag_to_term<multi_linestring_tag> { typedef info::MULTI_LINESTRING type; };
+template <> struct tag_to_term<multi_polygon_tag> { typedef info::MULTI_POLYGON type; };
+template <> struct tag_to_term<geometry_collection_tag> { typedef info::GEOMETRY_COLLECTION type; };
+template <int D> struct tag_to_term<mpl::int_<D> > { typedef info::DIMENSION<D> type; };
+
+
+}
+
+
+template
+<
+ typename Term1 = void,
+ typename Term2 = void,
+ typename Term3 = void
+>
+struct not_implemented
+ : nyi::not_implemented_tag,
+ nyi::not_implemented_error
+ <
+ typename mpl::identity<typename nyi::tag_to_term<Term1>::type>::type,
+ typename mpl::identity<typename nyi::tag_to_term<Term2>::type>::type,
+ typename mpl::identity<typename nyi::tag_to_term<Term3>::type>::type
+ >
+{};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_NOT_IMPLEMENTED_HPP
diff --git a/boost/geometry/algorithms/num_geometries.hpp b/boost/geometry/algorithms/num_geometries.hpp
new file mode 100644
index 0000000000..20f35e90d2
--- /dev/null
+++ b/boost/geometry/algorithms/num_geometries.hpp
@@ -0,0 +1,95 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/num_interior_rings.hpp b/boost/geometry/algorithms/num_interior_rings.hpp
new file mode 100644
index 0000000000..2149f46576
--- /dev/null
+++ b/boost/geometry/algorithms/num_interior_rings.hpp
@@ -0,0 +1,88 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/num_points.hpp b/boost/geometry/algorithms/num_points.hpp
new file mode 100644
index 0000000000..c480068f43
--- /dev/null
+++ b/boost/geometry/algorithms/num_points.hpp
@@ -0,0 +1,171 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/overlaps.hpp b/boost/geometry/algorithms/overlaps.hpp
new file mode 100644
index 0000000000..2f854b4fdd
--- /dev/null
+++ b/boost/geometry/algorithms/overlaps.hpp
@@ -0,0 +1,202 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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}
+
+\qbk{[include reference/algorithms/overlaps.qbk]}
+*/
+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
diff --git a/boost/geometry/algorithms/perimeter.hpp b/boost/geometry/algorithms/perimeter.hpp
new file mode 100644
index 0000000000..adeb0b05b0
--- /dev/null
+++ b/boost/geometry/algorithms/perimeter.hpp
@@ -0,0 +1,144 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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>
+// #include <boost/geometry/algorithms/detail/throw_on_empty_input.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;
+
+ // detail::throw_on_empty_input(geometry);
+
+ 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>();
+
+ // detail::throw_on_empty_input(geometry);
+
+ return dispatch::perimeter
+ <
+ typename tag<Geometry>::type,
+ Geometry,
+ Strategy
+ >::apply(geometry, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_PERIMETER_HPP
+
diff --git a/boost/geometry/algorithms/reverse.hpp b/boost/geometry/algorithms/reverse.hpp
new file mode 100644
index 0000000000..bf0ef2d9a9
--- /dev/null
+++ b/boost/geometry/algorithms/reverse.hpp
@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/simplify.hpp b/boost/geometry/algorithms/simplify.hpp
new file mode 100644
index 0000000000..225321d303
--- /dev/null
+++ b/boost/geometry/algorithms/simplify.hpp
@@ -0,0 +1,405 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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& , Strategy const& )
+ {
+ 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& , Strategy const& )
+ {
+ 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
diff --git a/boost/geometry/algorithms/sym_difference.hpp b/boost/geometry/algorithms/sym_difference.hpp
new file mode 100644
index 0000000000..6394576de4
--- /dev/null
+++ b/boost/geometry/algorithms/sym_difference.hpp
@@ -0,0 +1,177 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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 = 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, true>::value,
+ geometry::detail::overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+ OutputIterator, GeometryOut,
+ overlay_difference,
+ Strategy
+ >::apply(geometry1, geometry2, out, strategy);
+ out = geometry::dispatch::intersection_insert
+ <
+ typename geometry::tag<Geometry2>::type,
+ typename geometry::tag<Geometry1>::type,
+ typename geometry::tag<GeometryOut>::type,
+ geometry::is_areal<Geometry2>::value,
+ geometry::is_areal<Geometry1>::value,
+ geometry::is_areal<GeometryOut>::value,
+ Geometry2, Geometry1,
+ geometry::detail::overlay::do_reverse<geometry::point_order<Geometry2>::value>::value,
+ geometry::detail::overlay::do_reverse<geometry::point_order<Geometry1>::value, true>::value,
+ geometry::detail::overlay::do_reverse<geometry::point_order<GeometryOut>::value>::value,
+ OutputIterator, GeometryOut,
+ overlay_difference,
+ Strategy
+ >::apply(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
diff --git a/boost/geometry/algorithms/transform.hpp b/boost/geometry/algorithms/transform.hpp
new file mode 100644
index 0000000000..22b45dc77e
--- /dev/null
+++ b/boost/geometry/algorithms/transform.hpp
@@ -0,0 +1,351 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/union.hpp b/boost/geometry/algorithms/union.hpp
new file mode 100644
index 0000000000..28d8e5dc0b
--- /dev/null
+++ b/boost/geometry/algorithms/union.hpp
@@ -0,0 +1,284 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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
diff --git a/boost/geometry/algorithms/unique.hpp b/boost/geometry/algorithms/unique.hpp
new file mode 100644
index 0000000000..3bbf479f9b
--- /dev/null
+++ b/boost/geometry/algorithms/unique.hpp
@@ -0,0 +1,153 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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
diff --git a/boost/geometry/algorithms/within.hpp b/boost/geometry/algorithms/within.hpp
new file mode 100644
index 0000000000..0e0cb68d53
--- /dev/null
+++ b/boost/geometry/algorithms/within.hpp
@@ -0,0 +1,344 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/make.hpp>
+#include <boost/geometry/algorithms/not_implemented.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 Geometry1,
+ typename Geometry2,
+ typename Tag1 = typename tag<Geometry1>::type,
+ typename Tag2 = typename tag<Geometry2>::type
+>
+struct within: not_implemented<Tag1, Tag2>
+{};
+
+
+template <typename Point, typename Box>
+struct within<Point, Box, point_tag, box_tag>
+{
+ template <typename Strategy>
+ static inline bool apply(Point const& point, Box const& box, Strategy const& strategy)
+ {
+ return strategy.apply(point, box);
+ }
+};
+
+template <typename Box1, typename Box2>
+struct within<Box1, Box2, box_tag, box_tag>
+{
+ template <typename 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>
+struct within<Point, Ring, point_tag, ring_tag>
+{
+ template <typename 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>
+struct within<Point, Polygon, point_tag, polygon_tag>
+{
+ template <typename 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 which might be within the second geometry
+\param geometry2 \param_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
+ <
+ Geometry1,
+ Geometry2
+ >::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 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
+ <
+ Geometry1,
+ Geometry2
+ >::apply(geometry1, geometry2, strategy);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ALGORITHMS_WITHIN_HPP
diff --git a/boost/geometry/arithmetic/arithmetic.hpp b/boost/geometry/arithmetic/arithmetic.hpp
new file mode 100644
index 0000000000..6479ecc4a6
--- /dev/null
+++ b/boost/geometry/arithmetic/arithmetic.hpp
@@ -0,0 +1,281 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_ARITHMETIC_ARITHMETIC_HPP
+#define BOOST_GEOMETRY_ARITHMETIC_ARITHMETIC_HPP
+
+#include <functional>
+
+#include <boost/call_traits.hpp>
+#include <boost/concept/requires.hpp>
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/util/for_each_coordinate.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template <typename P>
+struct param
+{
+ typedef typename boost::call_traits
+ <
+ typename coordinate_type<P>::type
+ >::param_type type;
+};
+
+
+template <typename C, template <typename> class Function>
+struct value_operation
+{
+ C m_value;
+
+ inline value_operation(C const &value)
+ : m_value(value)
+ {}
+
+ template <typename P, int I>
+ inline void apply(P& point) const
+ {
+ set<I>(point, Function<C>()(get<I>(point), m_value));
+ }
+};
+
+template <typename PointSrc, template <typename> class Function>
+struct point_operation
+{
+ typedef typename coordinate_type<PointSrc>::type coordinate_type;
+ PointSrc const& m_source_point;
+
+ inline point_operation(PointSrc const& point)
+ : m_source_point(point)
+ {}
+
+ template <typename PointDst, int I>
+ inline void apply(PointDst& dest_point) const
+ {
+ set<I>(dest_point,
+ Function<coordinate_type>()(get<I>(dest_point), get<I>(m_source_point)));
+ }
+};
+
+
+template <typename C>
+struct value_assignment
+{
+ C m_value;
+
+ inline value_assignment(C const &value)
+ : m_value(value)
+ {}
+
+ template <typename P, int I>
+ inline void apply(P& point) const
+ {
+ set<I>(point, m_value);
+ }
+};
+
+template <typename PointSrc>
+struct point_assignment
+{
+ PointSrc const& m_source_point;
+
+ inline point_assignment(PointSrc const& point)
+ : m_source_point(point)
+ {}
+
+ template <typename PointDst, int I>
+ inline void apply(PointDst& dest_point) const
+ {
+ set<I>(dest_point, get<I>(m_source_point));
+ }
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+/*!
+ \brief Adds the same value to each coordinate of a point
+ \ingroup arithmetic
+ \details
+ \param p point
+ \param value value to add
+ */
+template <typename Point>
+inline void add_value(Point& p, typename detail::param<Point>::type value)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ for_each_coordinate(p, detail::value_operation<typename coordinate_type<Point>::type, std::plus>(value));
+}
+
+/*!
+ \brief Adds a point to another
+ \ingroup arithmetic
+ \details The coordinates of the second point will be added to those of the first point.
+ The second point is not modified.
+ \param p1 first point
+ \param p2 second point
+ */
+template <typename Point1, typename Point2>
+inline void add_point(Point1& p1, Point2 const& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point2>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ for_each_coordinate(p1, detail::point_operation<Point2, std::plus>(p2));
+}
+
+/*!
+ \brief Subtracts the same value to each coordinate of a point
+ \ingroup arithmetic
+ \details
+ \param p point
+ \param value value to subtract
+ */
+template <typename Point>
+inline void subtract_value(Point& p, typename detail::param<Point>::type value)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ for_each_coordinate(p, detail::value_operation<typename coordinate_type<Point>::type, std::minus>(value));
+}
+
+/*!
+ \brief Subtracts a point to another
+ \ingroup arithmetic
+ \details The coordinates of the second point will be subtracted to those of the first point.
+ The second point is not modified.
+ \param p1 first point
+ \param p2 second point
+ */
+template <typename Point1, typename Point2>
+inline void subtract_point(Point1& p1, Point2 const& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point2>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ for_each_coordinate(p1, detail::point_operation<Point2, std::minus>(p2));
+}
+
+/*!
+ \brief Multiplies each coordinate of a point by the same value
+ \ingroup arithmetic
+ \details
+ \param p point
+ \param value value to multiply by
+ */
+template <typename Point>
+inline void multiply_value(Point& p, typename detail::param<Point>::type value)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ for_each_coordinate(p, detail::value_operation<typename coordinate_type<Point>::type, std::multiplies>(value));
+}
+
+/*!
+ \brief Multiplies a point by another
+ \ingroup arithmetic
+ \details The coordinates of the first point will be multiplied by those of the second point.
+ The second point is not modified.
+ \param p1 first point
+ \param p2 second point
+ \note This is *not* a dot, cross or wedge product. It is a mere field-by-field multiplication.
+ */
+template <typename Point1, typename Point2>
+inline void multiply_point(Point1& p1, Point2 const& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point2>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ for_each_coordinate(p1, detail::point_operation<Point2, std::multiplies>(p2));
+}
+
+/*!
+ \brief Divides each coordinate of the same point by a value
+ \ingroup arithmetic
+ \details
+ \param p point
+ \param value value to divide by
+ */
+template <typename Point>
+inline void divide_value(Point& p, typename detail::param<Point>::type value)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ for_each_coordinate(p, detail::value_operation<typename coordinate_type<Point>::type, std::divides>(value));
+}
+
+/*!
+ \brief Divides a point by another
+ \ingroup arithmetic
+ \details The coordinates of the first point will be divided by those of the second point.
+ The second point is not modified.
+ \param p1 first point
+ \param p2 second point
+ */
+template <typename Point1, typename Point2>
+inline void divide_point(Point1& p1, Point2 const& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point2>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ for_each_coordinate(p1, detail::point_operation<Point2, std::divides>(p2));
+}
+
+/*!
+ \brief Assign each coordinate of a point the same value
+ \ingroup arithmetic
+ \details
+ \param p point
+ \param value value to assign
+ */
+template <typename Point>
+inline void assign_value(Point& p, typename detail::param<Point>::type value)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ for_each_coordinate(p, detail::value_assignment<typename coordinate_type<Point>::type>(value));
+}
+
+/*!
+ \brief Assign a point with another
+ \ingroup arithmetic
+ \details The coordinates of the first point will be assigned those of the second point.
+ The second point is not modified.
+ \param p1 first point
+ \param p2 second point
+ */
+template <typename Point1, typename Point2>
+inline void assign_point(Point1& p1, const Point2& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point2>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ for_each_coordinate(p1, detail::point_assignment<Point2>(p2));
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ARITHMETIC_ARITHMETIC_HPP
diff --git a/boost/geometry/arithmetic/determinant.hpp b/boost/geometry/arithmetic/determinant.hpp
new file mode 100644
index 0000000000..db3b867096
--- /dev/null
+++ b/boost/geometry/arithmetic/determinant.hpp
@@ -0,0 +1,76 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+
+// 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_ARITHMETIC_DETERMINANT_HPP
+#define BOOST_GEOMETRY_ARITHMETIC_DETERMINANT_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename ReturnType, typename U, typename V>
+class calculate_determinant
+{
+ template <typename T>
+ static inline ReturnType rt(T const& v)
+ {
+ return boost::numeric_cast<ReturnType>(v);
+ }
+
+public :
+
+ static inline ReturnType apply(U const& ux, U const& uy
+ , V const& vx, V const& vy)
+ {
+ return rt(ux) * rt(vy) - rt(uy) * rt(vx);
+ }
+};
+
+template <typename ReturnType, typename U, typename V>
+inline ReturnType determinant(U const& ux, U const& uy
+ , V const& vx, V const& vy)
+{
+ return calculate_determinant
+ <
+ ReturnType, U, V
+ >::apply(ux, uy, vx, vy);
+}
+
+
+template <typename ReturnType, typename U, typename V>
+inline ReturnType determinant(U const& u, V const& v)
+{
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<U>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<V>) );
+
+ return calculate_determinant
+ <
+ ReturnType,
+ typename geometry::coordinate_type<U>::type,
+ typename geometry::coordinate_type<V>::type
+ >::apply(get<0>(u), get<1>(u), get<0>(v), get<1>(v));
+}
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ARITHMETIC_DETERMINANT_HPP
diff --git a/boost/geometry/arithmetic/dot_product.hpp b/boost/geometry/arithmetic/dot_product.hpp
new file mode 100644
index 0000000000..13fe968779
--- /dev/null
+++ b/boost/geometry/arithmetic/dot_product.hpp
@@ -0,0 +1,82 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_ARITHMETIC_DOT_PRODUCT_HPP
+#define BOOST_GEOMETRY_ARITHMETIC_DOT_PRODUCT_HPP
+
+
+#include <cstddef>
+
+#include <boost/concept/requires.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename P1, typename P2, std::size_t Dimension, std::size_t DimensionCount>
+struct dot_product_maker
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+ static inline coordinate_type apply(P1 const& p1, P2 const& p2)
+ {
+ return get<Dimension>(p1) * get<Dimension>(p2)
+ + dot_product_maker<P1, P2, Dimension+1, DimensionCount>::apply(p1, p2);
+ }
+};
+
+template <typename P1, typename P2, std::size_t DimensionCount>
+struct dot_product_maker<P1, P2, DimensionCount, DimensionCount>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+ static inline coordinate_type apply(P1 const& p1, P2 const& p2)
+ {
+ return get<DimensionCount>(p1) * get<DimensionCount>(p2);
+ }
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+ \brief Computes the dot product (or scalar product) of 2 vectors (points).
+ \ingroup arithmetic
+ \param p1 first point
+ \param p2 second point
+ \return the dot product
+ */
+template <typename P1, typename P2>
+inline typename select_coordinate_type<P1, P2>::type dot_product(
+ P1 const& p1, P2 const& p2)
+{
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<P1>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<P2>) );
+
+ return detail::dot_product_maker
+ <
+ P1, P2,
+ 0, dimension<P1>::type::value - 1
+ >::apply(p1, p2);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ARITHMETIC_DOT_PRODUCT_HPP
diff --git a/boost/geometry/core/access.hpp b/boost/geometry/core/access.hpp
new file mode 100644
index 0000000000..a463b8cdc3
--- /dev/null
+++ b/boost/geometry/core/access.hpp
@@ -0,0 +1,324 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_CORE_ACCESS_HPP
+#define BOOST_GEOMETRY_CORE_ACCESS_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/// Index of minimum corner of the box.
+int const min_corner = 0;
+
+/// Index of maximum corner of the box.
+int const max_corner = 1;
+
+namespace traits
+{
+
+/*!
+\brief Traits class which gives access (get,set) to points.
+\ingroup traits
+\par Geometries:
+/// @li point
+\par Specializations should provide, per Dimension
+/// @li static inline T get(G const&)
+/// @li static inline void set(G&, T const&)
+\tparam Geometry geometry-type
+\tparam Dimension dimension to access
+*/
+template <typename Geometry, std::size_t Dimension, typename Enable = void>
+struct access
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE, (types<Geometry>)
+ );
+};
+
+
+/*!
+\brief Traits class defining "get" and "set" to get
+ and set point coordinate values
+\tparam Geometry geometry (box, segment)
+\tparam Index index (min_corner/max_corner for box, 0/1 for segment)
+\tparam Dimension dimension
+\par Geometries:
+ - box
+ - segment
+\par Specializations should provide:
+ - static inline T get(G const&)
+ - static inline void set(G&, T const&)
+\ingroup traits
+*/
+template <typename Geometry, std::size_t Index, std::size_t Dimension>
+struct indexed_access {};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template
+<
+ typename Tag,
+ typename Geometry,
+ typename
+ CoordinateType, std::size_t Dimension
+>
+struct access
+{
+ //static inline T get(G const&) {}
+ //static inline void set(G& g, T const& value) {}
+};
+
+template
+<
+ typename Tag,
+ typename Geometry,
+ typename CoordinateType,
+ std::size_t Index,
+ std::size_t Dimension
+>
+struct indexed_access
+{
+ //static inline T get(G const&) {}
+ //static inline void set(G& g, T const& value) {}
+};
+
+template <typename Point, typename CoordinateType, std::size_t Dimension>
+struct access<point_tag, Point, CoordinateType, Dimension>
+{
+ static inline CoordinateType get(Point const& point)
+ {
+ return traits::access<Point, Dimension>::get(point);
+ }
+ static inline void set(Point& p, CoordinateType const& value)
+ {
+ traits::access<Point, Dimension>::set(p, value);
+ }
+};
+
+template
+<
+ typename Box,
+ typename CoordinateType,
+ std::size_t Index,
+ std::size_t Dimension
+>
+struct indexed_access<box_tag, Box, CoordinateType, Index, Dimension>
+{
+ static inline CoordinateType get(Box const& box)
+ {
+ return traits::indexed_access<Box, Index, Dimension>::get(box);
+ }
+ static inline void set(Box& b, CoordinateType const& value)
+ {
+ traits::indexed_access<Box, Index, Dimension>::set(b, value);
+ }
+};
+
+template
+<
+ typename Segment,
+ typename CoordinateType,
+ std::size_t Index,
+ std::size_t Dimension
+>
+struct indexed_access<segment_tag, Segment, CoordinateType, Index, Dimension>
+{
+ static inline CoordinateType get(Segment const& segment)
+ {
+ return traits::indexed_access<Segment, Index, Dimension>::get(segment);
+ }
+ static inline void set(Segment& segment, CoordinateType const& value)
+ {
+ traits::indexed_access<Segment, Index, Dimension>::set(segment, value);
+ }
+};
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+// Two dummy tags to distinguish get/set variants below.
+// They don't have to be specified by the user. The functions are distinguished
+// by template signature also, but for e.g. GCC this is not enough. So give them
+// a different signature.
+struct signature_getset_dimension {};
+struct signature_getset_index_dimension {};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Get coordinate value of a geometry (usually a point)
+\details \details_get_set
+\ingroup get
+\tparam Dimension \tparam_dimension_required
+\tparam Geometry \tparam_geometry (usually a Point Concept)
+\param geometry \param_geometry (usually a point)
+\param dummy \qbk_skip
+\return The coordinate value of specified dimension of specified geometry
+\qbk{[include reference/core/get_point.qbk]}
+*/
+template <std::size_t Dimension, typename Geometry>
+inline typename coordinate_type<Geometry>::type get(Geometry const& geometry
+ , detail::signature_getset_dimension* dummy = 0
+ )
+{
+ boost::ignore_unused_variable_warning(dummy);
+
+ typedef typename boost::remove_const<Geometry>::type ncg_type;
+
+ typedef core_dispatch::access
+ <
+ typename tag<Geometry>::type,
+ ncg_type,
+ typename coordinate_type<ncg_type>::type,
+ Dimension
+ > coord_access_type;
+
+ return coord_access_type::get(geometry);
+}
+
+
+/*!
+\brief Set coordinate value of a geometry (usually a point)
+\details \details_get_set
+\tparam Dimension \tparam_dimension_required
+\tparam Geometry \tparam_geometry (usually a Point Concept)
+\param geometry geometry to assign coordinate to
+\param geometry \param_geometry (usually a point)
+\param value The coordinate value to set
+\param dummy \qbk_skip
+\ingroup set
+
+\qbk{[include reference/core/set_point.qbk]}
+*/
+template <std::size_t Dimension, typename Geometry>
+inline void set(Geometry& geometry
+ , typename coordinate_type<Geometry>::type const& value
+ , detail::signature_getset_dimension* dummy = 0
+ )
+{
+ boost::ignore_unused_variable_warning(dummy);
+
+ typedef typename boost::remove_const<Geometry>::type ncg_type;
+
+ typedef core_dispatch::access
+ <
+ typename tag<Geometry>::type,
+ ncg_type,
+ typename coordinate_type<ncg_type>::type,
+ Dimension
+ > coord_access_type;
+
+ coord_access_type::set(geometry, value);
+}
+
+
+/*!
+\brief get coordinate value of a Box or Segment
+\details \details_get_set
+\tparam Index \tparam_index_required
+\tparam Dimension \tparam_dimension_required
+\tparam Geometry \tparam_box_or_segment
+\param geometry \param_geometry
+\param dummy \qbk_skip
+\return coordinate value
+\ingroup get
+
+\qbk{distinguish,with index}
+\qbk{[include reference/core/get_box.qbk]}
+*/
+template <std::size_t Index, std::size_t Dimension, typename Geometry>
+inline typename coordinate_type<Geometry>::type get(Geometry const& geometry
+ , detail::signature_getset_index_dimension* dummy = 0
+ )
+{
+ boost::ignore_unused_variable_warning(dummy);
+
+ typedef typename boost::remove_const<Geometry>::type ncg_type;
+
+ typedef core_dispatch::indexed_access
+ <
+ typename tag<Geometry>::type,
+ ncg_type,
+ typename coordinate_type<ncg_type>::type,
+ Index,
+ Dimension
+ > coord_access_type;
+
+ return coord_access_type::get(geometry);
+}
+
+/*!
+\brief set coordinate value of a Box / Segment
+\details \details_get_set
+\tparam Index \tparam_index_required
+\tparam Dimension \tparam_dimension_required
+\tparam Geometry \tparam_box_or_segment
+\param geometry geometry to assign coordinate to
+\param geometry \param_geometry
+\param value The coordinate value to set
+\param dummy \qbk_skip
+\ingroup set
+
+\qbk{distinguish,with index}
+\qbk{[include reference/core/set_box.qbk]}
+*/
+template <std::size_t Index, std::size_t Dimension, typename Geometry>
+inline void set(Geometry& geometry
+ , typename coordinate_type<Geometry>::type const& value
+ , detail::signature_getset_index_dimension* dummy = 0
+ )
+{
+ boost::ignore_unused_variable_warning(dummy);
+
+ typedef typename boost::remove_const<Geometry>::type ncg_type;
+
+ typedef core_dispatch::indexed_access
+ <
+ typename tag<Geometry>::type, ncg_type,
+ typename coordinate_type<ncg_type>::type,
+ Index,
+ Dimension
+ > coord_access_type;
+
+ coord_access_type::set(geometry, value);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_ACCESS_HPP
diff --git a/boost/geometry/core/closure.hpp b/boost/geometry/core/closure.hpp
new file mode 100644
index 0000000000..aab02e7871
--- /dev/null
+++ b/boost/geometry/core/closure.hpp
@@ -0,0 +1,180 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_CLOSURE_HPP
+#define BOOST_GEOMETRY_CORE_CLOSURE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/int.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief Enumerates options for defining if polygons are open or closed
+\ingroup enum
+\details The enumeration closure_selector describes options for if a polygon is
+ open or closed. In a closed polygon the very first point (per ring) should
+ be equal to the very last point.
+ The specific closing property of a polygon type is defined by the closure
+ metafunction. The closure metafunction defines a value, which is one of the
+ values enumerated in the closure_selector
+
+\qbk{
+[heading See also]
+[link geometry.reference.core.closure The closure metafunction]
+}
+*/
+enum closure_selector
+{
+ /// Rings are open: first point and last point are different, algorithms
+ /// close them explicitly on the fly
+ open = 0,
+ /// Rings are closed: first point and last point must be the same
+ closed = 1,
+ /// (Not yet implemented): algorithms first figure out if ring must be
+ /// closed on the fly
+ closure_undertermined = -1
+};
+
+namespace traits
+{
+
+/*!
+ \brief Traits class indicating if points within a
+ ring or (multi)polygon are closed (last point == first point),
+ open or not known.
+ \ingroup traits
+ \par Geometries:
+ - ring
+ \tparam G geometry
+*/
+template <typename G>
+struct closure
+{
+ static const closure_selector value = closed;
+};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace core_detail { namespace closure
+{
+
+struct closed
+{
+ static const closure_selector value = geometry::closed;
+};
+
+
+/// Metafunction to define the minimum size of a ring:
+/// 3 for open rings, 4 for closed rings
+template <closure_selector Closure>
+struct minimum_ring_size {};
+
+template <>
+struct minimum_ring_size<geometry::closed> : boost::mpl::int_<4> {};
+
+template <>
+struct minimum_ring_size<geometry::open> : boost::mpl::int_<3> {};
+
+
+}} // namespace detail::point_order
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct closure
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+template <typename Box>
+struct closure<point_tag, Box> : public core_detail::closure::closed {};
+
+template <typename Box>
+struct closure<box_tag, Box> : public core_detail::closure::closed {};
+
+template <typename Box>
+struct closure<segment_tag, Box> : public core_detail::closure::closed {};
+
+template <typename LineString>
+struct closure<linestring_tag, LineString>
+ : public core_detail::closure::closed {};
+
+
+template <typename Ring>
+struct closure<ring_tag, Ring>
+{
+ static const closure_selector value
+ = geometry::traits::closure<Ring>::value;
+};
+
+// Specialization for polygon: the closure is the closure of its rings
+template <typename Polygon>
+struct closure<polygon_tag, Polygon>
+{
+ static const closure_selector value = core_dispatch::closure
+ <
+ ring_tag,
+ typename ring_type<polygon_tag, Polygon>::type
+ >::value ;
+};
+
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_meta{value, closure (clockwise\, counterclockwise),
+ \meta_geometry_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/closure.qbk]}
+*/
+template <typename Geometry>
+struct closure
+{
+ static const closure_selector value = core_dispatch::closure
+ <
+ typename tag<Geometry>::type,
+ typename boost::remove_const<Geometry>::type
+ >::value;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_CLOSURE_HPP
diff --git a/boost/geometry/core/coordinate_dimension.hpp b/boost/geometry/core/coordinate_dimension.hpp
new file mode 100644
index 0000000000..84c11e2a55
--- /dev/null
+++ b/boost/geometry/core/coordinate_dimension.hpp
@@ -0,0 +1,126 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_CORE_COORDINATE_DIMENSION_HPP
+#define BOOST_GEOMETRY_CORE_COORDINATE_DIMENSION_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/equal_to.hpp>
+#include <boost/static_assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+/*!
+\brief Traits class indicating the number of dimensions of a point
+\par Geometries:
+ - point
+\par Specializations should provide:
+ - value (should be derived from boost::mpl::int_<D>
+\ingroup traits
+*/
+template <typename Point, typename Enable = void>
+struct dimension
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE, (types<Point>)
+ );
+};
+
+} // namespace traits
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+// Base class derive from its own specialization of point-tag
+template <typename T, typename G>
+struct dimension : dimension<point_tag, typename point_type<T, G>::type> {};
+
+template <typename P>
+struct dimension<point_tag, P> : traits::dimension<P> {};
+
+} // namespace core_dispatch
+#endif
+
+/*!
+\brief \brief_meta{value, number of coordinates (the number of axes of any geometry), \meta_point_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/coordinate_dimension.qbk]}
+*/
+template <typename Geometry>
+struct dimension
+ : core_dispatch::dimension
+ <
+ typename tag<Geometry>::type,
+ typename boost::remove_const<Geometry>::type
+ >
+{};
+
+/*!
+\brief assert_dimension, enables compile-time checking if coordinate dimensions are as expected
+\ingroup utility
+*/
+template <typename Geometry, int Dimensions>
+inline void assert_dimension()
+{
+ BOOST_STATIC_ASSERT((
+ boost::mpl::equal_to
+ <
+ geometry::dimension<Geometry>,
+ boost::mpl::int_<Dimensions>
+ >::type::value
+ ));
+}
+
+/*!
+\brief assert_dimension, enables compile-time checking if coordinate dimensions are as expected
+\ingroup utility
+*/
+template <typename Geometry, int Dimensions>
+inline void assert_dimension_less_equal()
+{
+ BOOST_STATIC_ASSERT(( dimension<Geometry>::type::value <= Dimensions ));
+}
+
+template <typename Geometry, int Dimensions>
+inline void assert_dimension_greater_equal()
+{
+ BOOST_STATIC_ASSERT(( dimension<Geometry>::type::value >= Dimensions ));
+}
+
+/*!
+\brief assert_dimension_equal, enables compile-time checking if coordinate dimensions of two geometries are equal
+\ingroup utility
+*/
+template <typename G1, typename G2>
+inline void assert_dimension_equal()
+{
+ BOOST_STATIC_ASSERT(( dimension<G1>::type::value == dimension<G2>::type::value ));
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_COORDINATE_DIMENSION_HPP
diff --git a/boost/geometry/core/coordinate_system.hpp b/boost/geometry/core/coordinate_system.hpp
new file mode 100644
index 0000000000..c23b8af15c
--- /dev/null
+++ b/boost/geometry/core/coordinate_system.hpp
@@ -0,0 +1,97 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_CORE_COORDINATE_SYSTEM_HPP
+#define BOOST_GEOMETRY_CORE_COORDINATE_SYSTEM_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace traits
+{
+
+/*!
+\brief Traits class defining the coordinate system of a point, important for strategy selection
+\ingroup traits
+\par Geometries:
+ - point
+\par Specializations should provide:
+ - typedef CS type; (cs::cartesian, cs::spherical, etc)
+*/
+template <typename Point, typename Enable = void>
+struct coordinate_system
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE, (types<Point>)
+ );
+};
+
+} // namespace traits
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+ template <typename GeometryTag, typename G>
+ struct coordinate_system
+ {
+ typedef typename point_type<GeometryTag, G>::type P;
+
+ // Call its own specialization on point-tag
+ typedef typename coordinate_system<point_tag, P>::type type;
+ };
+
+
+ template <typename P>
+ struct coordinate_system<point_tag, P>
+ {
+ typedef typename traits::coordinate_system<P>::type type;
+ };
+
+
+} // namespace core_dispatch
+#endif
+
+
+/*!
+\brief \brief_meta{type, coordinate system (cartesian\, spherical\, etc), \meta_point_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/coordinate_system.qbk]}
+*/
+template <typename Geometry>
+struct coordinate_system
+{
+ typedef typename boost::remove_const<Geometry>::type ncg;
+ typedef typename core_dispatch::coordinate_system
+ <
+ typename tag<Geometry>::type,
+ ncg
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_COORDINATE_SYSTEM_HPP
diff --git a/boost/geometry/core/coordinate_type.hpp b/boost/geometry/core/coordinate_type.hpp
new file mode 100644
index 0000000000..0f901d3f19
--- /dev/null
+++ b/boost/geometry/core/coordinate_type.hpp
@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_CORE_COORDINATE_TYPE_HPP
+#define BOOST_GEOMETRY_CORE_COORDINATE_TYPE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/util/promote_floating_point.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+/*!
+\brief Traits class which indicate the coordinate type (double,float,...) of a point
+\ingroup traits
+\par Geometries:
+ - point
+\par Specializations should provide:
+ - typedef T type; (double,float,int,etc)
+*/
+template <typename Point, typename Enable = void>
+struct coordinate_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE, (types<Point>)
+ );
+};
+
+} // namespace traits
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename GeometryTag, typename Geometry>
+struct coordinate_type
+{
+ typedef typename point_type<GeometryTag, Geometry>::type point_type;
+
+ // Call its own specialization on point-tag
+ typedef typename coordinate_type<point_tag, point_type>::type type;
+};
+
+template <typename Point>
+struct coordinate_type<point_tag, Point>
+{
+ typedef typename traits::coordinate_type<Point>::type type;
+};
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+/*!
+\brief \brief_meta{type, coordinate type (int\, float\, double\, etc), \meta_point_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/coordinate_type.qbk]}
+*/
+template <typename Geometry>
+struct coordinate_type
+{
+ typedef typename core_dispatch::coordinate_type
+ <
+ typename tag<Geometry>::type,
+ typename boost::remove_const<Geometry>::type
+ >::type type;
+};
+
+template <typename Geometry>
+struct fp_coordinate_type
+{
+ typedef typename promote_floating_point
+ <
+ typename coordinate_type<Geometry>::type
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_COORDINATE_TYPE_HPP
diff --git a/boost/geometry/core/cs.hpp b/boost/geometry/core/cs.hpp
new file mode 100644
index 0000000000..3588ed1a86
--- /dev/null
+++ b/boost/geometry/core/cs.hpp
@@ -0,0 +1,220 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_CS_HPP
+#define BOOST_GEOMETRY_CORE_CS_HPP
+
+#include <cstddef>
+
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/coordinate_system.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Unit of plane angle: Degrees
+\details Tag defining the unit of plane angle for spherical coordinate systems.
+ This tag specifies that coordinates are defined in degrees (-180 .. 180).
+ It has to be specified for some coordinate systems.
+\qbk{[include reference/core/degree_radian.qbk]}
+*/
+struct degree {};
+
+
+/*!
+\brief Unit of plane angle: Radians
+\details Tag defining the unit of plane angle for spherical coordinate systems.
+ This tag specifies that coordinates are defined in radians (-PI .. PI).
+ It has to be specified for some coordinate systems.
+\qbk{[include reference/core/degree_radian.qbk]}
+*/
+struct radian {};
+
+
+namespace cs
+{
+
+/*!
+\brief Cartesian coordinate system
+\details Defines the Cartesian or rectangular coordinate system
+ where points are defined in 2 or 3 (or more)
+dimensions and usually (but not always) known as x,y,z
+\see http://en.wikipedia.org/wiki/Cartesian_coordinate_system
+\ingroup cs
+*/
+struct cartesian {};
+
+
+
+
+/*!
+\brief Geographic coordinate system, in degree or in radian
+\details Defines the geographic coordinate system where points
+ are defined in two angles and usually
+known as lat,long or lo,la or phi,lambda
+\see http://en.wikipedia.org/wiki/Geographic_coordinate_system
+\ingroup cs
+\note might be moved to extensions/gis/geographic
+*/
+template<typename DegreeOrRadian>
+struct geographic
+{
+ typedef DegreeOrRadian units;
+};
+
+
+
+/*!
+\brief Spherical (polar) coordinate system, in degree or in radian
+\details Defines the spherical coordinate system where points are
+ defined in two angles
+ and an optional radius usually known as r, theta, phi
+\par Coordinates:
+- coordinate 0:
+ 0 <= phi < 2pi is the angle between the positive x-axis and the
+ line from the origin to the P projected onto the xy-plane.
+- coordinate 1:
+ 0 <= theta <= pi is the angle between the positive z-axis and the
+ line formed between the origin and P.
+- coordinate 2 (if specified):
+ r >= 0 is the distance from the origin to a given point P.
+
+\see http://en.wikipedia.org/wiki/Spherical_coordinates
+\ingroup cs
+*/
+template<typename DegreeOrRadian>
+struct spherical
+{
+ typedef DegreeOrRadian units;
+};
+
+
+/*!
+\brief Spherical equatorial coordinate system, in degree or in radian
+\details This one resembles the geographic coordinate system, and has latitude
+ up from zero at the equator, to 90 at the pole
+ (opposite to the spherical(polar) coordinate system).
+ Used in astronomy and in GIS (but there is also the geographic)
+
+\see http://en.wikipedia.org/wiki/Spherical_coordinates
+\ingroup cs
+*/
+template<typename DegreeOrRadian>
+struct spherical_equatorial
+{
+ typedef DegreeOrRadian units;
+};
+
+
+
+/*!
+\brief Polar coordinate system
+\details Defines the polar coordinate system "in which each point
+ on a plane is determined by an angle and a distance"
+\see http://en.wikipedia.org/wiki/Polar_coordinates
+\ingroup cs
+*/
+template<typename DegreeOrRadian>
+struct polar
+{
+ typedef DegreeOrRadian units;
+};
+
+
+} // namespace cs
+
+
+namespace traits
+{
+
+/*!
+\brief Traits class defining coordinate system tag, bound to coordinate system
+\ingroup traits
+\tparam CoordinateSystem coordinate system
+*/
+template <typename CoordinateSystem>
+struct cs_tag
+{
+};
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+template<typename DegreeOrRadian>
+struct cs_tag<cs::geographic<DegreeOrRadian> >
+{
+ typedef geographic_tag type;
+};
+
+template<typename DegreeOrRadian>
+struct cs_tag<cs::spherical<DegreeOrRadian> >
+{
+ typedef spherical_polar_tag type;
+};
+
+template<typename DegreeOrRadian>
+struct cs_tag<cs::spherical_equatorial<DegreeOrRadian> >
+{
+ typedef spherical_equatorial_tag type;
+};
+
+
+template<>
+struct cs_tag<cs::cartesian>
+{
+ typedef cartesian_tag type;
+};
+
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+} // namespace traits
+
+/*!
+\brief Meta-function returning coordinate system tag (cs family) of any geometry
+\ingroup core
+*/
+template <typename G>
+struct cs_tag
+{
+ typedef typename traits::cs_tag
+ <
+ typename geometry::coordinate_system<G>::type
+ >::type type;
+};
+
+
+/*!
+\brief Meta-function to verify if a coordinate system is radian
+\ingroup core
+*/
+template <typename CoordinateSystem>
+struct is_radian : boost::true_type {};
+
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+// Specialization for any degree coordinate systems
+template <template<typename> class CoordinateSystem>
+struct is_radian< CoordinateSystem<degree> > : boost::false_type
+{
+};
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_CS_HPP
diff --git a/boost/geometry/core/exception.hpp b/boost/geometry/core/exception.hpp
new file mode 100644
index 0000000000..97d249e938
--- /dev/null
+++ b/boost/geometry/core/exception.hpp
@@ -0,0 +1,60 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_EXCEPTION_HPP
+#define BOOST_GEOMETRY_CORE_EXCEPTION_HPP
+
+#include <exception>
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Base exception class for Boost.Geometry algorithms
+\ingroup core
+\details This class is never thrown. All exceptions thrown in Boost.Geometry
+ are derived from exception, so it might be convenient to catch it.
+*/
+class exception : public std::exception
+{};
+
+
+/*!
+\brief Empty Input Exception
+\ingroup core
+\details The empty_input_exception is thrown if free functions, e.g. distance,
+ are called with empty geometries, e.g. a linestring
+ without points, a polygon without points, an empty multi-geometry.
+\qbk{
+[heading See also]
+\* [link geometry.reference.algorithms.area the area function]
+\* [link geometry.reference.algorithms.distance the distance function]
+\* [link geometry.reference.algorithms.length the length function]
+}
+ */
+class empty_input_exception : public geometry::exception
+{
+public:
+
+ inline empty_input_exception() {}
+
+ virtual char const* what() const throw()
+ {
+ return "Boost.Geometry Empty-Input exception";
+ }
+};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_EXCEPTION_HPP
diff --git a/boost/geometry/core/exterior_ring.hpp b/boost/geometry/core/exterior_ring.hpp
new file mode 100644
index 0000000000..70012c22db
--- /dev/null
+++ b/boost/geometry/core/exterior_ring.hpp
@@ -0,0 +1,144 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_EXTERIOR_RING_HPP
+#define BOOST_GEOMETRY_CORE_EXTERIOR_RING_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+
+#include <boost/geometry/core/ring_type.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
+{
+
+namespace traits
+{
+
+
+/*!
+ \brief Traits class defining access to exterior_ring of a polygon
+ \details Should define const and non const access
+ \ingroup traits
+ \tparam Polygon the polygon type
+ \par Geometries:
+ - polygon
+ \par Specializations should provide:
+ - static inline RING& get(POLY& )
+ - static inline RING const& get(POLY const& )
+*/
+template <typename Polygon>
+struct exterior_ring
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POLYGON_TYPE
+ , (types<Polygon>)
+ );
+};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+
+template <typename Tag, typename Geometry>
+struct exterior_ring
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+template <typename Polygon>
+struct exterior_ring<polygon_tag, Polygon>
+{
+ static
+ typename geometry::ring_return_type<Polygon>::type
+ apply(typename add_const_if_c
+ <
+ boost::is_const<Polygon>::type::value,
+ Polygon
+ >::type& polygon)
+ {
+ return traits::exterior_ring
+ <
+ typename boost::remove_const<Polygon>::type
+ >::get(polygon);
+ }
+};
+
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+ \brief Function to get the exterior_ring ring of a polygon
+ \ingroup exterior_ring
+ \note OGC compliance: instead of ExteriorRing
+ \tparam P polygon type
+ \param polygon the polygon to get the exterior ring from
+ \return a reference to the exterior ring
+*/
+template <typename Polygon>
+inline typename ring_return_type<Polygon>::type exterior_ring(Polygon& polygon)
+{
+ return core_dispatch::exterior_ring
+ <
+ typename tag<Polygon>::type,
+ Polygon
+ >::apply(polygon);
+}
+
+
+/*!
+\brief Function to get the exterior ring of a polygon (const version)
+\ingroup exterior_ring
+\note OGC compliance: instead of ExteriorRing
+\tparam Polygon polygon type
+\param polygon the polygon to get the exterior ring from
+\return a const reference to the exterior ring
+
+\qbk{distinguish,const version}
+*/
+template <typename Polygon>
+inline typename ring_return_type<Polygon const>::type exterior_ring(
+ Polygon const& polygon)
+{
+ return core_dispatch::exterior_ring
+ <
+ typename tag<Polygon>::type,
+ Polygon const
+ >::apply(polygon);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_EXTERIOR_RING_HPP
diff --git a/boost/geometry/core/geometry_id.hpp b/boost/geometry/core/geometry_id.hpp
new file mode 100644
index 0000000000..369c5cfa1a
--- /dev/null
+++ b/boost/geometry/core/geometry_id.hpp
@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_GEOMETRY_ID_HPP
+#define BOOST_GEOMETRY_CORE_GEOMETRY_ID_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/int.hpp>
+#include <boost/type_traits.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename GeometryTag>
+struct geometry_id
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<GeometryTag>)
+ );
+};
+
+
+template <>
+struct geometry_id<point_tag> : boost::mpl::int_<1> {};
+
+
+template <>
+struct geometry_id<linestring_tag> : boost::mpl::int_<2> {};
+
+
+template <>
+struct geometry_id<polygon_tag> : boost::mpl::int_<3> {};
+
+
+template <>
+struct geometry_id<segment_tag> : boost::mpl::int_<92> {};
+
+
+template <>
+struct geometry_id<ring_tag> : boost::mpl::int_<93> {};
+
+
+template <>
+struct geometry_id<box_tag> : boost::mpl::int_<94> {};
+
+
+
+} // namespace core_dispatch
+#endif
+
+
+
+/*!
+\brief Meta-function returning the id of a geometry type
+\details The meta-function geometry_id defines a numerical ID (based on
+ boost::mpl::int_<...> ) for each geometry concept. A numerical ID is
+ sometimes useful, and within Boost.Geometry it is used for the
+ reverse_dispatch metafuntion.
+\note Used for e.g. reverse meta-function
+\ingroup core
+*/
+template <typename Geometry>
+struct geometry_id : core_dispatch::geometry_id<typename tag<Geometry>::type>
+{};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_GEOMETRY_ID_HPP
diff --git a/boost/geometry/core/interior_rings.hpp b/boost/geometry/core/interior_rings.hpp
new file mode 100644
index 0000000000..10af2ae4ee
--- /dev/null
+++ b/boost/geometry/core/interior_rings.hpp
@@ -0,0 +1,139 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_INTERIOR_RINGS_HPP
+#define BOOST_GEOMETRY_CORE_INTERIOR_RINGS_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/core/interior_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+
+/*!
+ \brief Traits class defining access to interior_rings of a polygon
+ \details defines access (const and non const) to interior ring
+ \ingroup traits
+ \par Geometries:
+ - polygon
+ \par Specializations should provide:
+ - static inline INTERIOR& get(POLY&)
+ - static inline const INTERIOR& get(POLY const&)
+ \tparam Geometry geometry
+*/
+template <typename Geometry>
+struct interior_rings
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+} // namespace traits
+
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template
+<
+ typename GeometryTag,
+ typename Geometry
+>
+struct interior_rings {};
+
+
+template <typename Polygon>
+struct interior_rings<polygon_tag, Polygon>
+{
+ static inline
+ typename geometry::interior_return_type<Polygon>::type
+ apply(Polygon& polygon)
+ {
+ return traits::interior_rings
+ <
+ typename boost::remove_const<Polygon>::type
+ >::get(polygon);
+ }
+};
+
+
+} // namespace core_dispatch
+#endif
+
+
+
+/*!
+\brief Function to get the interior rings of a polygon (non const version)
+\ingroup interior_rings
+\note OGC compliance: instead of InteriorRingN
+\tparam Polygon polygon type
+\param polygon the polygon to get the interior rings from
+\return the interior rings (possibly a reference)
+*/
+
+template <typename Polygon>
+inline typename interior_return_type<Polygon>::type interior_rings(Polygon& polygon)
+{
+ return core_dispatch::interior_rings
+ <
+ typename tag<Polygon>::type,
+ Polygon
+ >::apply(polygon);
+}
+
+
+/*!
+\brief Function to get the interior rings of a polygon (const version)
+\ingroup interior_rings
+\note OGC compliance: instead of InteriorRingN
+\tparam Polygon polygon type
+\param polygon the polygon to get the interior rings from
+\return the interior rings (possibly a const reference)
+
+\qbk{distinguish,const version}
+*/
+template <typename Polygon>
+inline typename interior_return_type<Polygon const>::type interior_rings(
+ Polygon const& polygon)
+{
+ return core_dispatch::interior_rings
+ <
+ typename tag<Polygon>::type,
+ Polygon const
+ >::apply(polygon);
+}
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_INTERIOR_RINGS_HPP
diff --git a/boost/geometry/core/interior_type.hpp b/boost/geometry/core/interior_type.hpp
new file mode 100644
index 0000000000..02328372f0
--- /dev/null
+++ b/boost/geometry/core/interior_type.hpp
@@ -0,0 +1,161 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_INTERIOR_TYPE_HPP
+#define BOOST_GEOMETRY_CORE_INTERIOR_TYPE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+/*!
+\brief Traits class indicating interior container type of a polygon
+\details defines inner container type, so the container containing
+ the interior rings
+\ingroup traits
+\par Geometries:
+ - polygon
+\par Specializations should provide:
+ - typedef X type ( e.g. std::vector&lt;myring&lt;P&gt;&gt; )
+\tparam Geometry geometry
+*/
+template <typename Geometry>
+struct interior_const_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+template <typename Geometry>
+struct interior_mutable_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+} // namespace traits
+
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+
+template <typename GeometryTag, typename Geometry>
+struct interior_return_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+template <typename Polygon>
+struct interior_return_type<polygon_tag, Polygon>
+{
+ typedef typename boost::remove_const<Polygon>::type nc_polygon_type;
+
+ typedef typename mpl::if_
+ <
+ boost::is_const<Polygon>,
+ typename traits::interior_const_type<nc_polygon_type>::type,
+ typename traits::interior_mutable_type<nc_polygon_type>::type
+ >::type type;
+};
+
+
+
+
+template <typename GeometryTag, typename Geometry>
+struct interior_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+template <typename Polygon>
+struct interior_type<polygon_tag, Polygon>
+{
+ typedef typename boost::remove_reference
+ <
+ typename interior_return_type<polygon_tag, Polygon>::type
+ >::type type;
+};
+
+
+} // namespace core_dispatch
+#endif
+
+
+/*!
+\brief \brief_meta{type, interior_type (container type
+ of inner rings), \meta_geometry_type}
+\details Interior rings should be organized as a container
+ (std::vector, std::deque, boost::array) with
+ Boost.Range support. This metafunction defines the type
+ of the container.
+\tparam Geometry A type fullfilling the Polygon or MultiPolygon concept.
+\ingroup core
+
+\qbk{[include reference/core/interior_type.qbk]}
+*/
+template <typename Geometry>
+struct interior_type
+{
+ typedef typename core_dispatch::interior_type
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::type type;
+};
+
+template <typename Geometry>
+struct interior_return_type
+{
+ typedef typename core_dispatch::interior_return_type
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_INTERIOR_TYPE_HPP
diff --git a/boost/geometry/core/is_areal.hpp b/boost/geometry/core/is_areal.hpp
new file mode 100644
index 0000000000..5ddfa753bc
--- /dev/null
+++ b/boost/geometry/core/is_areal.hpp
@@ -0,0 +1,60 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_IS_AREAL_HPP
+#define BOOST_GEOMETRY_CORE_IS_AREAL_HPP
+
+
+#include <boost/type_traits.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename GeometryTag> struct is_areal : boost::false_type {};
+
+template <> struct is_areal<ring_tag> : boost::true_type {};
+template <> struct is_areal<box_tag> : boost::true_type {};
+template <> struct is_areal<polygon_tag> : boost::true_type {};
+
+
+} // namespace core_dispatch
+#endif
+
+
+
+/*!
+ \brief Meta-function defining "true" for areal types (box, (multi)polygon, ring),
+ \note Used for tag dispatching and meta-function finetuning
+ \note Also a "ring" has areal properties within Boost.Geometry
+ \ingroup core
+*/
+template <typename Geometry>
+struct is_areal : core_dispatch::is_areal<typename tag<Geometry>::type>
+{};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_IS_AREAL_HPP
diff --git a/boost/geometry/core/mutable_range.hpp b/boost/geometry/core/mutable_range.hpp
new file mode 100644
index 0000000000..9b53e40577
--- /dev/null
+++ b/boost/geometry/core/mutable_range.hpp
@@ -0,0 +1,98 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_MUTABLE_RANGE_HPP
+#define BOOST_GEOMETRY_CORE_MUTABLE_RANGE_HPP
+
+
+#include <cstddef>
+
+#include <boost/type_traits/remove_reference.hpp>
+#include <boost/range.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace traits
+{
+
+/*!
+\brief Metafunction to define the argument passed to the three
+ traits classes clear, push_back and resize
+\ingroup mutable_range
+ */
+template <typename Range>
+struct rvalue_type
+{
+ typedef typename boost::remove_reference<Range>::type& type;
+};
+
+
+/*!
+\brief Traits class to clear a geometry
+\ingroup mutable_range
+ */
+template <typename Range>
+struct clear
+{
+ static inline void apply(typename rvalue_type<Range>::type range)
+ {
+ range.clear();
+ }
+};
+
+
+/*!
+\brief Traits class to append a point to a range (ring, linestring, multi*)
+\ingroup mutable_range
+ */
+template <typename Range>
+struct push_back
+{
+ typedef typename boost::range_value
+ <
+ typename boost::remove_reference<Range>::type
+ >::type item_type;
+
+ static inline void apply(typename rvalue_type<Range>::type range,
+ item_type const& item)
+ {
+ range.push_back(item);
+ }
+};
+
+
+/*!
+\brief Traits class to append a point to a range (ring, linestring, multi*)
+\ingroup mutable_range
+ */
+template <typename Range>
+struct resize
+{
+ static inline void apply(typename rvalue_type<Range>::type range,
+ std::size_t new_size)
+ {
+ range.resize(new_size);
+ }
+};
+
+
+} // namespace traits
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_MUTABLE_RANGE_HPP
diff --git a/boost/geometry/core/point_order.hpp b/boost/geometry/core/point_order.hpp
new file mode 100644
index 0000000000..f09086a9d4
--- /dev/null
+++ b/boost/geometry/core/point_order.hpp
@@ -0,0 +1,162 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_POINT_ORDER_HPP
+#define BOOST_GEOMETRY_CORE_POINT_ORDER_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Enumerates options for the order of points within polygons
+\ingroup enum
+\details The enumeration order_selector describes options for the order of
+ points within a polygon. Polygons can be ordered either clockwise or
+ counterclockwise. The specific order of a polygon type is defined by the
+ point_order metafunction. The point_order metafunction defines a value,
+ which is one of the values enumerated in the order_selector
+
+\qbk{
+[heading See also]
+[link geometry.reference.core.point_order The point_order metafunction]
+}
+*/
+enum order_selector
+{
+ /// Points are ordered clockwise
+ clockwise = 1,
+ /// Points are ordered counter clockwise
+ counterclockwise = 2,
+ /// Points might be stored in any order, algorithms will determine it on the
+ /// fly (not yet supported)
+ order_undetermined = 0
+};
+
+namespace traits
+{
+
+/*!
+\brief Traits class indicating the order of contained points within a
+ ring or (multi)polygon, clockwise, counter clockwise or not known.
+\ingroup traits
+\tparam Ring ring
+*/
+template <typename Ring>
+struct point_order
+{
+ static const order_selector value = clockwise;
+};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace point_order
+{
+
+struct clockwise
+{
+ static const order_selector value = geometry::clockwise;
+};
+
+
+}} // namespace detail::point_order
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct point_order
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+template <typename Point>
+struct point_order<point_tag, Point>
+ : public detail::point_order::clockwise {};
+
+template <typename Segment>
+struct point_order<segment_tag, Segment>
+ : public detail::point_order::clockwise {};
+
+
+template <typename Box>
+struct point_order<box_tag, Box>
+ : public detail::point_order::clockwise {};
+
+template <typename LineString>
+struct point_order<linestring_tag, LineString>
+ : public detail::point_order::clockwise {};
+
+
+template <typename Ring>
+struct point_order<ring_tag, Ring>
+{
+ static const order_selector value
+ = geometry::traits::point_order<Ring>::value;
+};
+
+// Specialization for polygon: the order is the order of its rings
+template <typename Polygon>
+struct point_order<polygon_tag, Polygon>
+{
+ static const order_selector value = core_dispatch::point_order
+ <
+ ring_tag,
+ typename ring_type<polygon_tag, Polygon>::type
+ >::value ;
+};
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_meta{value, point order (clockwise\, counterclockwise),
+ \meta_geometry_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/point_order.qbk]}
+*/
+template <typename Geometry>
+struct point_order
+{
+ static const order_selector value = core_dispatch::point_order
+ <
+ typename tag<Geometry>::type,
+ typename boost::remove_const<Geometry>::type
+ >::value;
+};
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_POINT_ORDER_HPP
diff --git a/boost/geometry/core/point_type.hpp b/boost/geometry/core/point_type.hpp
new file mode 100644
index 0000000000..f49a43c56a
--- /dev/null
+++ b/boost/geometry/core/point_type.hpp
@@ -0,0 +1,130 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_POINT_TYPE_HPP
+#define BOOST_GEOMETRY_CORE_POINT_TYPE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+/*!
+\brief Traits class indicating the type of contained points
+\ingroup traits
+\par Geometries:
+ - all geometries except point
+\par Specializations should provide:
+ - typedef P type (where P should fulfil the Point concept)
+\tparam Geometry geometry
+*/
+template <typename Geometry>
+struct point_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE, (types<Geometry>)
+ );
+};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct point_type
+{
+ // Default: call traits to get point type
+ typedef typename boost::remove_const
+ <
+ typename traits::point_type<Geometry>::type
+ >::type type;
+};
+
+
+// Specialization for point: the point itself
+template <typename Point>
+struct point_type<point_tag, Point>
+{
+ typedef Point type;
+};
+
+
+// Specializations for linestring/ring, via boost::range
+template <typename Linestring>
+struct point_type<linestring_tag, Linestring>
+{
+ typedef typename boost::range_value<Linestring>::type type;
+};
+
+
+template <typename Ring>
+struct point_type<ring_tag, Ring>
+{
+ typedef typename boost::range_value<Ring>::type type;
+};
+
+
+// Specialization for polygon: the point-type is the point-type of its rings
+template <typename Polygon>
+struct point_type<polygon_tag, Polygon>
+{
+ typedef typename point_type
+ <
+ ring_tag,
+ typename ring_type<polygon_tag, Polygon>::type
+ >::type type;
+};
+
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief \brief_meta{type, point_type, \meta_geometry_type}
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/point_type.qbk]}
+*/
+template <typename Geometry>
+struct point_type
+{
+ typedef typename boost::remove_const<Geometry>::type ncg;
+ typedef typename core_dispatch::point_type
+ <
+ typename tag<Geometry>::type,
+ ncg
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_POINT_TYPE_HPP
diff --git a/boost/geometry/core/radian_access.hpp b/boost/geometry/core/radian_access.hpp
new file mode 100644
index 0000000000..bac77d7bc7
--- /dev/null
+++ b/boost/geometry/core/radian_access.hpp
@@ -0,0 +1,152 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_RADIAN_ACCESS_HPP
+#define BOOST_GEOMETRY_CORE_RADIAN_ACCESS_HPP
+
+
+#include <cstddef>
+
+#include <boost/numeric/conversion/cast.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+
+
+#include <boost/geometry/util/math.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template<std::size_t Dimension, typename Geometry>
+struct degree_radian_converter
+{
+ typedef typename fp_coordinate_type<Geometry>::type coordinate_type;
+
+ static inline coordinate_type get(Geometry const& geometry)
+ {
+ return boost::numeric_cast
+ <
+ coordinate_type
+ >(geometry::get<Dimension>(geometry) * geometry::math::d2r);
+ }
+
+ static inline void set(Geometry& geometry, coordinate_type const& radians)
+ {
+ geometry::set<Dimension>(geometry, boost::numeric_cast
+ <
+ coordinate_type
+ >(radians * geometry::math::r2d));
+ }
+
+};
+
+
+// Default, radian (or any other coordinate system) just works like "get"
+template <std::size_t Dimension, typename Geometry, typename DegreeOrRadian>
+struct radian_access
+{
+ typedef typename fp_coordinate_type<Geometry>::type coordinate_type;
+
+ static inline coordinate_type get(Geometry const& geometry)
+ {
+ return geometry::get<Dimension>(geometry);
+ }
+
+ static inline void set(Geometry& geometry, coordinate_type const& radians)
+ {
+ geometry::set<Dimension>(geometry, radians);
+ }
+};
+
+// Specialize, any "degree" coordinate system will be converted to radian
+// but only for dimension 0,1 (so: dimension 2 and heigher are untouched)
+
+template
+<
+ typename Geometry,
+ template<typename> class CoordinateSystem
+>
+struct radian_access<0, Geometry, CoordinateSystem<degree> >
+ : degree_radian_converter<0, Geometry>
+{};
+
+
+template
+<
+ typename Geometry,
+ template<typename> class CoordinateSystem
+>
+struct radian_access<1, Geometry, CoordinateSystem<degree> >
+ : degree_radian_converter<1, Geometry>
+{};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief get coordinate value of a point, result is in Radian
+\details Result is in Radian, even if source coordinate system
+ is in Degrees
+\return coordinate value
+\ingroup get
+\tparam Dimension dimension
+\tparam Geometry geometry
+\param geometry geometry to get coordinate value from
+\note Only applicable to coordinate systems templatized by units,
+ e.g. spherical or geographic coordinate systems
+*/
+template <std::size_t Dimension, typename Geometry>
+inline typename fp_coordinate_type<Geometry>::type get_as_radian(Geometry const& geometry)
+{
+ return detail::radian_access<Dimension, Geometry,
+ typename coordinate_system<Geometry>::type>::get(geometry);
+}
+
+
+/*!
+\brief set coordinate value (in radian) to a point
+\details Coordinate value will be set correctly, if coordinate system of
+ point is in Degree, Radian value will be converted to Degree
+\ingroup set
+\tparam Dimension dimension
+\tparam Geometry geometry
+\param geometry geometry to assign coordinate to
+\param radians coordinate value to assign
+\note Only applicable to coordinate systems templatized by units,
+ e.g. spherical or geographic coordinate systems
+*/
+template <std::size_t Dimension, typename Geometry>
+inline void set_from_radian(Geometry& geometry,
+ typename fp_coordinate_type<Geometry>::type const& radians)
+{
+ detail::radian_access<Dimension, Geometry,
+ typename coordinate_system<Geometry>::type>::set(geometry, radians);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_RADIAN_ACCESS_HPP
diff --git a/boost/geometry/core/reverse_dispatch.hpp b/boost/geometry/core/reverse_dispatch.hpp
new file mode 100644
index 0000000000..2e4fb8005f
--- /dev/null
+++ b/boost/geometry/core/reverse_dispatch.hpp
@@ -0,0 +1,67 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_REVERSE_DISPATCH_HPP
+#define BOOST_GEOMETRY_CORE_REVERSE_DISPATCH_HPP
+
+
+#include <cstddef>
+
+#include <boost/type_traits.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/mpl/greater.hpp>
+
+#include <boost/geometry/core/geometry_id.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+// Different geometries: reverse_dispatch if second ID < first ID
+template <std::size_t GeometryId1, std::size_t GeometryId2>
+struct reverse_dispatch : boost::mpl::if_c
+ <
+ (GeometryId1 > GeometryId2),
+ boost::true_type,
+ boost::false_type
+ >
+{};
+
+
+// Same geometry: never reverse_dispatch
+template <std::size_t GeometryId>
+struct reverse_dispatch<GeometryId, GeometryId> : boost::false_type {};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+template <typename Geometry1, typename Geometry2>
+struct reverse_dispatch : detail::reverse_dispatch
+ <
+ geometry_id<Geometry1>::type::value,
+ geometry_id<Geometry2>::type::value
+ >
+{};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_REVERSE_DISPATCH_HPP
diff --git a/boost/geometry/core/ring_type.hpp b/boost/geometry/core/ring_type.hpp
new file mode 100644
index 0000000000..9b984faf3c
--- /dev/null
+++ b/boost/geometry/core/ring_type.hpp
@@ -0,0 +1,170 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_RING_TYPE_HPP
+#define BOOST_GEOMETRY_CORE_RING_TYPE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+
+/*!
+\brief Traits class to indicate ring-type of a polygon's exterior ring/interior rings
+\ingroup traits
+\par Geometries:
+ - polygon
+\par Specializations should provide:
+ - typedef XXX type ( e.g. ring<P> )
+\tparam Geometry geometry
+*/
+template <typename Geometry>
+struct ring_const_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+template <typename Geometry>
+struct ring_mutable_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+} // namespace traits
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename GeometryTag, typename Geometry>
+struct ring_return_type
+{};
+
+
+template <typename LineString>
+struct ring_return_type<linestring_tag, LineString>
+{
+ typedef LineString& type;
+};
+
+
+template <typename Ring>
+struct ring_return_type<ring_tag, Ring>
+{
+ typedef Ring& type;
+};
+
+
+template <typename Polygon>
+struct ring_return_type<polygon_tag, Polygon>
+{
+ typedef typename boost::remove_const<Polygon>::type nc_polygon_type;
+
+ typedef typename mpl::if_
+ <
+ boost::is_const<Polygon>,
+ typename traits::ring_const_type<nc_polygon_type>::type,
+ typename traits::ring_mutable_type<nc_polygon_type>::type
+ >::type type;
+};
+
+
+template <typename GeometryTag, typename Geometry>
+struct ring_type
+{};
+
+
+template <typename Ring>
+struct ring_type<ring_tag, Ring>
+{
+ typedef Ring type;
+};
+
+
+template <typename Polygon>
+struct ring_type<polygon_tag, Polygon>
+{
+ typedef typename boost::remove_reference
+ <
+ typename ring_return_type<polygon_tag, Polygon>::type
+ >::type type;
+};
+
+
+
+
+
+} // namespace core_dispatch
+#endif
+
+
+/*!
+\brief \brief_meta{type, ring_type, \meta_geometry_type}
+\details A polygon contains one exterior ring
+ and zero or more interior rings (holes).
+ This metafunction retrieves the type of the rings.
+ Exterior ring and each of the interior rings all have the same ring_type.
+\tparam Geometry A type fullfilling the Ring, Polygon or MultiPolygon concept.
+\ingroup core
+
+\qbk{[include reference/core/ring_type.qbk]}
+*/
+template <typename Geometry>
+struct ring_type
+{
+ typedef typename core_dispatch::ring_type
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::type type;
+};
+
+
+template <typename Geometry>
+struct ring_return_type
+{
+ typedef typename core_dispatch::ring_return_type
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_RING_TYPE_HPP
diff --git a/boost/geometry/core/tag.hpp b/boost/geometry/core/tag.hpp
new file mode 100644
index 0000000000..5a99c97071
--- /dev/null
+++ b/boost/geometry/core/tag.hpp
@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_TAG_HPP
+#define BOOST_GEOMETRY_CORE_TAG_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+/*!
+\brief Traits class to attach a tag to a geometry
+\details All geometries should implement a traits::tag<G>::type metafunction to indicate their
+ own geometry type.
+\ingroup traits
+\par Geometries:
+ - all geometries
+\par Specializations should provide:
+ - typedef XXX_tag type; (point_tag, box_tag, ...)
+\tparam Geometry geometry
+*/
+template <typename Geometry, typename Enable = void>
+struct tag
+{
+ typedef void type;
+};
+
+} // namespace traits
+
+
+/*!
+\brief \brief_meta{type, tag, \meta_geometry_type}
+\details With Boost.Geometry, tags are the driving force of the tag dispatching
+ mechanism. The tag metafunction is therefore used in every free function.
+\tparam Geometry \tparam_geometry
+\ingroup core
+
+\qbk{[include reference/core/tag.qbk]}
+*/
+template <typename Geometry>
+struct tag
+{
+ typedef typename traits::tag
+ <
+ typename boost::remove_const<Geometry>::type
+ >::type type;
+};
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_TAG_HPP
diff --git a/boost/geometry/core/tag_cast.hpp b/boost/geometry/core/tag_cast.hpp
new file mode 100644
index 0000000000..47a2e834f1
--- /dev/null
+++ b/boost/geometry/core/tag_cast.hpp
@@ -0,0 +1,84 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_TAG_CAST_HPP
+#define BOOST_GEOMETRY_CORE_TAG_CAST_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Metafunction defining a type being either the specified tag, or one
+ of the specified basetags if the type inherits from them.
+\details Tags can inherit each other. A multi_point inherits, for example,
+ both the multi_tag and the pointlike tag. Often behaviour can be shared
+ between different geometry types. A tag, found by the metafunction tag,
+ can be casted to a more basic tag, and then dispatched by that tag.
+\ingroup core
+\tparam Tag The tag to be casted to one of the base tags
+\tparam BaseTag First base tag
+\tparam BaseTag2 Optional second base tag
+\tparam BaseTag3 Optional third base tag
+\tparam BaseTag4 Optional fourth base tag
+\tparam BaseTag5 Optional fifth base tag
+\tparam BaseTag6 Optional sixth base tag
+\tparam BaseTag7 Optional seventh base tag
+
+\qbk{[include reference/core/tag_cast.qbk]}
+*/
+template
+<
+ typename Tag,
+ typename BaseTag,
+ typename BaseTag2 = void,
+ typename BaseTag3 = void,
+ typename BaseTag4 = void,
+ typename BaseTag5 = void,
+ typename BaseTag6 = void,
+ typename BaseTag7 = void
+>
+struct tag_cast
+{
+ typedef typename boost::mpl::if_
+ <
+ typename boost::is_base_of<BaseTag, Tag>::type,
+ BaseTag,
+ // Try next one in line:
+ typename tag_cast
+ <
+ Tag, BaseTag2, BaseTag3, BaseTag4,
+ BaseTag5, BaseTag6, BaseTag7, void
+ >::type
+ >::type type;
+};
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+// Specialization for last one
+template <typename Tag>
+struct tag_cast<Tag, void, void, void, void, void, void, void>
+{
+ // If not found, take specified tag, so do not cast
+ typedef Tag type;
+};
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_TAG_CAST_HPP
diff --git a/boost/geometry/core/tags.hpp b/boost/geometry/core/tags.hpp
new file mode 100644
index 0000000000..9272858ed2
--- /dev/null
+++ b/boost/geometry/core/tags.hpp
@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_TAGS_HPP
+#define BOOST_GEOMETRY_CORE_TAGS_HPP
+
+
+namespace boost { namespace geometry
+{
+
+// Tags defining strategies linked to coordinate systems
+
+/// Tag used for casting spherical/geographic coordinate systems
+struct spherical_tag {};
+
+
+/// Tag indicating Cartesian coordinate system family (cartesian,epsg)
+struct cartesian_tag {};
+
+/// Tag indicating Spherical polar coordinate system family
+struct spherical_polar_tag : spherical_tag {};
+
+/// Tag indicating Spherical equatorial coordinate system family
+struct spherical_equatorial_tag : spherical_tag {};
+
+/// Tag indicating Geographic coordinate system family (geographic)
+struct geographic_tag : spherical_tag {};
+
+
+
+// Tags defining tag hierarchy
+
+/// For single-geometries (point, linestring, polygon, box, ring, segment)
+struct single_tag {};
+
+
+/// For multiple-geometries (multi_point, multi_linestring, multi_polygon)
+struct multi_tag {};
+
+/// For point-like types (point, multi_point)
+struct pointlike_tag {};
+
+/// For linear types (linestring, multi-linestring, segment)
+struct linear_tag {};
+
+/// For areal types (polygon, multi_polygon, box, ring)
+struct areal_tag {};
+
+// Subset of areal types (polygon, multi_polygon, ring)
+struct polygonal_tag : areal_tag {};
+
+/// For volume types (also box (?), polyhedron)
+struct volumetric_tag {};
+
+
+// Tags defining geometry types
+
+
+/// "default" tag
+struct geometry_not_recognized_tag {};
+
+/// OGC Point identifying tag
+struct point_tag : single_tag, pointlike_tag {};
+
+/// OGC Linestring identifying tag
+struct linestring_tag : single_tag, linear_tag {};
+
+/// OGC Polygon identifying tag
+struct polygon_tag : single_tag, polygonal_tag {};
+
+/// Convenience (linear) ring identifying tag
+struct ring_tag : single_tag, polygonal_tag {};
+
+/// Convenience 2D or 3D box (mbr / aabb) identifying tag
+struct box_tag : single_tag, areal_tag {};
+
+/// Convenience segment (2-points) identifying tag
+struct segment_tag : single_tag, linear_tag {};
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_CORE_TAGS_HPP
diff --git a/boost/geometry/core/topological_dimension.hpp b/boost/geometry/core/topological_dimension.hpp
new file mode 100644
index 0000000000..02f1ed341e
--- /dev/null
+++ b/boost/geometry/core/topological_dimension.hpp
@@ -0,0 +1,88 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_CORE_TOPOLOGICAL_DIMENSION_HPP
+#define BOOST_GEOMETRY_CORE_TOPOLOGICAL_DIMENSION_HPP
+
+
+#include <boost/mpl/int.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+
+template <typename GeometryTag>
+struct top_dim {};
+
+
+template <>
+struct top_dim<point_tag> : boost::mpl::int_<0> {};
+
+
+template <>
+struct top_dim<linestring_tag> : boost::mpl::int_<1> {};
+
+
+template <>
+struct top_dim<segment_tag> : boost::mpl::int_<1> {};
+
+
+// ring: topological dimension of two, but some people say: 1 !!
+template <>
+struct top_dim<ring_tag> : boost::mpl::int_<2> {};
+
+
+template <>
+struct top_dim<box_tag> : boost::mpl::int_<2> {};
+
+
+template <>
+struct top_dim<polygon_tag> : boost::mpl::int_<2> {};
+
+
+
+} // namespace core_dispatch
+#endif
+
+
+
+
+
+/*!
+ \brief Meta-function returning the topological dimension of a geometry
+ \details The topological dimension defines a point as 0-dimensional,
+ a linestring as 1-dimensional,
+ and a ring or polygon as 2-dimensional.
+ \see http://www.math.okstate.edu/mathdept/dynamics/lecnotes/node36.html
+ \ingroup core
+*/
+template <typename Geometry>
+struct topological_dimension
+ : core_dispatch::top_dim<typename tag<Geometry>::type> {};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_CORE_TOPOLOGICAL_DIMENSION_HPP
diff --git a/boost/geometry/geometries/adapted/boost_array.hpp b/boost/geometry/geometries/adapted/boost_array.hpp
new file mode 100644
index 0000000000..275ccb5c2b
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_array.hpp
@@ -0,0 +1,120 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010 Alfredo Correa
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_ARRAY_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_ARRAY_HPP
+
+
+#ifdef BOOST_GEOMETRY_ADAPTED_BOOST_ARRAY_TAG_DEFINED
+#error Include either "boost_array_as_point" or \
+ "boost_array_as_linestring" or "boost_array_as_ring" \
+ or "boost_array_as_multi_point" to adapt a boost_array
+#endif
+
+#define BOOST_GEOMETRY_ADAPTED_BOOST_ARRAY_TAG_DEFINED
+
+
+#include <cstddef>
+
+#include <boost/type_traits/is_arithmetic.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/array.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+// Create class and specialization to indicate the tag
+// for normal cases and the case that the type of the c-array is arithmetic
+template <bool>
+struct boost_array_tag
+{
+ typedef geometry_not_recognized_tag type;
+};
+
+
+template <>
+struct boost_array_tag<true>
+{
+ typedef point_tag type;
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+// Assign the point-tag, preventing arrays of points getting a point-tag
+template <typename CoordinateType, std::size_t DimensionCount>
+struct tag<boost::array<CoordinateType, DimensionCount> >
+ : detail::boost_array_tag<boost::is_arithmetic<CoordinateType>::value> {};
+
+
+template <typename CoordinateType, std::size_t DimensionCount>
+struct coordinate_type<boost::array<CoordinateType, DimensionCount> >
+{
+ typedef CoordinateType type;
+};
+
+
+template <typename CoordinateType, std::size_t DimensionCount>
+struct dimension<boost::array<CoordinateType, DimensionCount> >: boost::mpl::int_<DimensionCount> {};
+
+
+template <typename CoordinateType, std::size_t DimensionCount, std::size_t Dimension>
+struct access<boost::array<CoordinateType, DimensionCount>, Dimension>
+{
+ static inline CoordinateType get(boost::array<CoordinateType, DimensionCount> const& a)
+ {
+ return a[Dimension];
+ }
+
+ static inline void set(boost::array<CoordinateType, DimensionCount>& a,
+ CoordinateType const& value)
+ {
+ a[Dimension] = value;
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#define BOOST_GEOMETRY_REGISTER_BOOST_ARRAY_CS(CoordinateSystem) \
+ namespace boost { namespace geometry { namespace traits { \
+ template <class T, std::size_t N> \
+ struct coordinate_system<boost::array<T, N> > \
+ { \
+ typedef CoordinateSystem type; \
+ }; \
+ }}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_ARRAY_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_fusion.hpp b/boost/geometry/geometries/adapted/boost_fusion.hpp
new file mode 100644
index 0000000000..a9aba916a5
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_fusion.hpp
@@ -0,0 +1,172 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 Akira Takahashi
+// Copyright (c) 2011-2012 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_GEOMETRIES_ADAPTED_FUSION_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_FUSION_HPP
+
+
+#include <cstddef>
+
+#include <boost/fusion/include/is_sequence.hpp>
+#include <boost/fusion/include/size.hpp>
+#include <boost/fusion/include/tag_of.hpp>
+#include <boost/fusion/include/front.hpp>
+#include <boost/fusion/include/at.hpp>
+#include <boost/utility/enable_if.hpp>
+
+#include <boost/fusion/mpl.hpp>
+#include <boost/mpl/front.hpp>
+#include <boost/mpl/count_if.hpp>
+#include <boost/mpl/pop_front.hpp>
+#include <boost/mpl/size.hpp>
+#include <boost/type_traits/is_same.hpp>
+#include <boost/type_traits/remove_reference.hpp>
+#include <boost/mpl/placeholders.hpp>
+#include <boost/mpl/and.hpp>
+#include <boost/mpl/front.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_system.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace fusion_adapt_detail
+{
+
+template <class Sequence>
+struct all_same :
+ boost::mpl::bool_<
+ boost::mpl::count_if<
+ Sequence,
+ boost::is_same<
+ typename boost::mpl::front<Sequence>::type,
+ boost::mpl::_
+ >
+ >::value == boost::mpl::size<Sequence>::value
+ >
+{};
+
+template <class Sequence>
+struct is_coordinate_size : boost::mpl::bool_<
+ boost::fusion::result_of::size<Sequence>::value == 2 ||
+ boost::fusion::result_of::size<Sequence>::value == 3> {};
+
+template<typename Sequence>
+struct is_fusion_sequence
+ : mpl::and_<boost::fusion::traits::is_sequence<Sequence>,
+ fusion_adapt_detail::is_coordinate_size<Sequence>,
+ fusion_adapt_detail::all_same<Sequence> >
+{};
+
+
+} // namespace fusion_adapt_detail
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+// Boost Fusion Sequence, 2D or 3D
+template <typename Sequence>
+struct coordinate_type
+ <
+ Sequence,
+ typename boost::enable_if
+ <
+ fusion_adapt_detail::is_fusion_sequence<Sequence>
+ >::type
+ >
+{
+ typedef typename boost::mpl::front<Sequence>::type type;
+};
+
+
+template <typename Sequence>
+struct dimension
+ <
+ Sequence,
+ typename boost::enable_if
+ <
+ fusion_adapt_detail::is_fusion_sequence<Sequence>
+ >::type
+ > : boost::mpl::size<Sequence>
+{};
+
+
+template <typename Sequence, std::size_t Dimension>
+struct access
+ <
+ Sequence,
+ Dimension,
+ typename boost::enable_if
+ <
+ fusion_adapt_detail::is_fusion_sequence<Sequence>
+ >::type
+ >
+{
+ typedef typename coordinate_type<Sequence>::type ctype;
+
+ static inline ctype get(Sequence const& point)
+ {
+ return boost::fusion::at_c<Dimension>(point);
+ }
+
+ template <class CoordinateType>
+ static inline void set(Sequence& point, CoordinateType const& value)
+ {
+ boost::fusion::at_c<Dimension>(point) = value;
+ }
+};
+
+
+template <typename Sequence>
+struct tag
+ <
+ Sequence,
+ typename boost::enable_if
+ <
+ fusion_adapt_detail::is_fusion_sequence<Sequence>
+ >::type
+ >
+{
+ typedef point_tag type;
+};
+
+
+} // namespace traits
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+// Convenience registration macro to bind a Fusion sequence to a CS
+#define BOOST_GEOMETRY_REGISTER_BOOST_FUSION_CS(CoordinateSystem) \
+ namespace boost { namespace geometry { namespace traits { \
+ template <typename Sequence> \
+ struct coordinate_system \
+ < \
+ Sequence, \
+ typename boost::enable_if \
+ < \
+ fusion_adapt_detail::is_fusion_sequence<Sequence> \
+ >::type \
+ > \
+ { typedef CoordinateSystem type; }; \
+ }}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_FUSION_HPP
diff --git a/boost/geometry/geometries/adapted/boost_polygon.hpp b/boost/geometry/geometries/adapted/boost_polygon.hpp
new file mode 100644
index 0000000000..fed2362b6e
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon.hpp
@@ -0,0 +1,18 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HPP
+
+#include <boost/geometry/geometries/adapted/boost_polygon/point.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/box.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/ring.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/polygon.hpp>
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_polygon/box.hpp b/boost/geometry/geometries/adapted/boost_polygon/box.hpp
new file mode 100644
index 0000000000..87c3b60650
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/box.hpp
@@ -0,0 +1,141 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_BOX_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_BOX_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::rectangle_data -> boost::geometry::box
+
+
+#include <boost/polygon/polygon.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+template <typename CoordinateType>
+struct tag<boost::polygon::rectangle_data<CoordinateType> >
+{
+ typedef box_tag type;
+};
+
+
+template <typename CoordinateType>
+struct point_type<boost::polygon::rectangle_data<CoordinateType> >
+{
+ // Not sure what to do here. Boost.Polygon's rectangle does NOT define its
+ // point_type (but uses it...)
+ typedef boost::polygon::point_data<CoordinateType> type;
+};
+
+
+template <typename CoordinateType>
+struct indexed_access
+<
+ boost::polygon::rectangle_data<CoordinateType>,
+ min_corner, 0
+>
+{
+ typedef boost::polygon::rectangle_data<CoordinateType> box_type;
+
+ static inline CoordinateType get(box_type const& b)
+ {
+ return boost::polygon::xl(b);
+ }
+
+ static inline void set(box_type& b, CoordinateType const& value)
+ {
+ boost::polygon::xl(b, value);
+ }
+};
+
+
+template <typename CoordinateType>
+struct indexed_access
+<
+ boost::polygon::rectangle_data<CoordinateType>,
+ min_corner, 1
+>
+{
+ typedef boost::polygon::rectangle_data<CoordinateType> box_type;
+
+ static inline CoordinateType get(box_type const& b)
+ {
+ return boost::polygon::yl(b);
+ }
+
+ static inline void set(box_type& b, CoordinateType const& value)
+ {
+ boost::polygon::yl(b, value);
+ }
+};
+
+
+template <typename CoordinateType>
+struct indexed_access
+<
+ boost::polygon::rectangle_data<CoordinateType>,
+ max_corner, 0
+>
+{
+ typedef boost::polygon::rectangle_data<CoordinateType> box_type;
+
+ static inline CoordinateType get(box_type const& b)
+ {
+ return boost::polygon::xh(b);
+ }
+
+ static inline void set(box_type& b, CoordinateType const& value)
+ {
+ boost::polygon::xh(b, value);
+ }
+};
+
+
+template <typename CoordinateType>
+struct indexed_access
+<
+ boost::polygon::rectangle_data<CoordinateType>,
+ max_corner, 1
+>
+{
+ typedef boost::polygon::rectangle_data<CoordinateType> box_type;
+
+ static inline CoordinateType get(box_type const& b)
+ {
+ return boost::polygon::yh(b);
+ }
+
+ static inline void set(box_type& b, CoordinateType const& value)
+ {
+ boost::polygon::yh(b, value);
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_BOX_HPP
diff --git a/boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp b/boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp
new file mode 100644
index 0000000000..c9c1bc7b61
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp
@@ -0,0 +1,84 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLE_ITERATOR_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLE_ITERATOR_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::polygon_with_holes_data -> boost::geometry::polygon
+// hole_iterator -> returning ring_proxy's instead of normal polygon_data
+
+#include <boost/polygon/polygon.hpp>
+
+#include <boost/iterator.hpp>
+#include <boost/iterator/iterator_facade.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace adapt { namespace bp
+{
+
+
+template <typename Polygon, typename RingProxy>
+class hole_iterator
+ : public ::boost::iterator_facade
+ <
+ hole_iterator<Polygon, RingProxy>,
+ RingProxy, // value type
+ boost::forward_traversal_tag,
+ RingProxy // reference type
+ >
+{
+public :
+ typedef typename boost::polygon::polygon_with_holes_traits
+ <
+ Polygon
+ >::iterator_holes_type ith_type;
+
+ explicit inline hole_iterator(Polygon& polygon, ith_type const it)
+ : m_polygon(polygon)
+ , m_base(it)
+ {
+ }
+
+ typedef std::ptrdiff_t difference_type;
+
+private:
+ friend class boost::iterator_core_access;
+
+ inline RingProxy dereference() const
+ {
+ return RingProxy(m_polygon, this->m_base);
+ }
+
+ inline void increment() { ++m_base; }
+ inline void decrement() { --m_base; }
+ inline void advance(difference_type n)
+ {
+ for (int i = 0; i < n; i++)
+ {
+ ++m_base;
+ }
+ }
+
+ inline bool equal(hole_iterator<Polygon, RingProxy> const& other) const
+ {
+ return this->m_base == other.m_base;
+ }
+
+ Polygon& m_polygon;
+ ith_type m_base;
+};
+
+
+}}}}
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLE_ITERATOR_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_polygon/holes_proxy.hpp b/boost/geometry/geometries/adapted/boost_polygon/holes_proxy.hpp
new file mode 100644
index 0000000000..c2a6a44dba
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/holes_proxy.hpp
@@ -0,0 +1,204 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLES_PROXY_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLES_PROXY_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::polygon_with_holes_data -> boost::geometry::polygon
+// pair{begin_holes, begin_holes} -> interior_proxy
+
+#include <boost/polygon/polygon.hpp>
+
+#include <boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/ring_proxy.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace adapt { namespace bp
+{
+
+
+// Polygon should implement the boost::polygon::polygon_with_holes_concept
+// Specify constness in the template parameter if necessary
+template<typename Polygon>
+struct holes_proxy
+{
+ typedef ring_proxy
+ <
+ typename boost::mpl::if_
+ <
+ typename boost::is_const<Polygon>,
+ Polygon const,
+ Polygon
+ >::type
+ > proxy_type;
+ typedef hole_iterator<Polygon, proxy_type> iterator_type;
+
+ // The next line does not work probably because coordinate_type is part of the
+ // polygon_traits, but not of the polygon_with_holes_traits
+ // typedef typename boost::polygon::polygon_traits<Polygon>::coordinate_type coordinate_type;
+
+ // So we use:
+ typedef typename Polygon::coordinate_type coordinate_type;
+
+ inline holes_proxy(Polygon& p)
+ : polygon(p)
+ {}
+
+ inline void clear()
+ {
+ Polygon empty;
+ // Clear the holes
+ polygon.set_holes
+ (
+ boost::polygon::begin_holes(empty),
+ boost::polygon::end_holes(empty)
+ );
+ }
+
+ inline void resize(std::size_t new_size)
+ {
+ std::vector<boost::polygon::polygon_data<coordinate_type> > temporary_copy
+ (
+ boost::polygon::begin_holes(polygon),
+ boost::polygon::end_holes(polygon)
+ );
+ temporary_copy.resize(new_size);
+ polygon.set_holes(temporary_copy.begin(), temporary_copy.end());
+ }
+
+ template <typename Ring>
+ inline void push_back(Ring const& ring)
+ {
+ std::vector<boost::polygon::polygon_data<coordinate_type> > temporary_copy
+ (
+ boost::polygon::begin_holes(polygon),
+ boost::polygon::end_holes(polygon)
+ );
+ boost::polygon::polygon_data<coordinate_type> added;
+ boost::polygon::set_points(added, ring.begin(), ring.end());
+ temporary_copy.push_back(added);
+ polygon.set_holes(temporary_copy.begin(), temporary_copy.end());
+ }
+
+
+ Polygon& polygon;
+};
+
+
+// Support holes_proxy for Boost.Range ADP
+
+// Const versions
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::holes_proxy<Polygon const>::iterator_type
+ range_begin(boost::geometry::adapt::bp::holes_proxy<Polygon const> const& proxy)
+{
+ typename boost::geometry::adapt::bp::holes_proxy<Polygon const>::iterator_type
+ begin(proxy.polygon, boost::polygon::begin_holes(proxy.polygon));
+ return begin;
+}
+
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::holes_proxy<Polygon const>::iterator_type
+ range_end(boost::geometry::adapt::bp::holes_proxy<Polygon const> const& proxy)
+{
+ typename boost::geometry::adapt::bp::holes_proxy<Polygon const>::iterator_type
+ end(proxy.polygon, boost::polygon::end_holes(proxy.polygon));
+ return end;
+}
+
+// Mutable versions
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::holes_proxy<Polygon>::iterator_type
+ range_begin(boost::geometry::adapt::bp::holes_proxy<Polygon>& proxy)
+{
+ typename boost::geometry::adapt::bp::holes_proxy<Polygon>::iterator_type
+ begin(proxy.polygon, boost::polygon::begin_holes(proxy.polygon));
+ return begin;
+}
+
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::holes_proxy<Polygon>::iterator_type
+ range_end(boost::geometry::adapt::bp::holes_proxy<Polygon>& proxy)
+{
+ typename boost::geometry::adapt::bp::holes_proxy<Polygon>::iterator_type
+ end(proxy.polygon, boost::polygon::end_holes(proxy.polygon));
+ return end;
+}
+
+
+}}
+
+namespace traits
+{
+
+template <typename Polygon>
+struct rvalue_type<adapt::bp::holes_proxy<Polygon> >
+{
+ typedef adapt::bp::holes_proxy<Polygon> type;
+};
+
+
+template <typename Polygon>
+struct clear<adapt::bp::holes_proxy<Polygon> >
+{
+ static inline void apply(adapt::bp::holes_proxy<Polygon> proxy)
+ {
+ proxy.clear();
+ }
+};
+
+template <typename Polygon>
+struct resize<adapt::bp::holes_proxy<Polygon> >
+{
+ static inline void apply(adapt::bp::holes_proxy<Polygon> proxy, std::size_t new_size)
+ {
+ proxy.resize(new_size);
+ }
+};
+
+template <typename Polygon>
+struct push_back<adapt::bp::holes_proxy<Polygon> >
+{
+ template <typename Ring>
+ static inline void apply(adapt::bp::holes_proxy<Polygon> proxy, Ring const& ring)
+ {
+ proxy.push_back(ring);
+ }
+};
+
+
+
+} // namespace traits
+
+
+}}
+
+
+// Specialize holes_proxy for Boost.Range
+namespace boost
+{
+ template<typename Polygon>
+ struct range_mutable_iterator<geometry::adapt::bp::holes_proxy<Polygon> >
+ {
+ typedef typename geometry::adapt::bp::holes_proxy<Polygon>::iterator_type type;
+ };
+
+ template<typename Polygon>
+ struct range_const_iterator<geometry::adapt::bp::holes_proxy<Polygon> >
+ {
+ typedef typename geometry::adapt::bp::holes_proxy<Polygon const>::iterator_type type;
+ };
+
+} // namespace boost
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_HOLES_PROXY_HPP
diff --git a/boost/geometry/geometries/adapted/boost_polygon/point.hpp b/boost/geometry/geometries/adapted/boost_polygon/point.hpp
new file mode 100644
index 0000000000..2aabb5663c
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/point.hpp
@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_POINT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_POINT_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::point_data -> boost::geometry::point
+
+
+#include <boost/polygon/polygon.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+template <typename CoordinateType>
+struct tag<boost::polygon::point_data<CoordinateType> >
+{
+ typedef point_tag type;
+};
+
+
+template <typename CoordinateType>
+struct coordinate_type<boost::polygon::point_data<CoordinateType> >
+{
+ typedef CoordinateType type;
+};
+
+
+template <typename CoordinateType>
+struct coordinate_system<boost::polygon::point_data<CoordinateType> >
+{
+ typedef cs::cartesian type;
+};
+
+
+template <typename CoordinateType>
+struct dimension<boost::polygon::point_data<CoordinateType> >
+ : boost::mpl::int_<2>
+{};
+
+
+template <typename CoordinateType>
+struct access<boost::polygon::point_data<CoordinateType>, 0>
+{
+ typedef boost::polygon::point_data<CoordinateType> point_type;
+
+ static inline CoordinateType get(point_type const& p)
+ {
+ return p.x();
+ }
+
+ static inline void set(point_type& p, CoordinateType const& value)
+ {
+ p.x(value);
+ }
+};
+
+
+template <typename CoordinateType>
+struct access<boost::polygon::point_data<CoordinateType>, 1>
+{
+ typedef boost::polygon::point_data<CoordinateType> point_type;
+
+ static inline CoordinateType get(point_type const& p)
+ {
+ return p.y();
+ }
+
+ static inline void set(point_type& p, CoordinateType const& value)
+ {
+ p.y(value);
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_POINT_HPP
diff --git a/boost/geometry/geometries/adapted/boost_polygon/polygon.hpp b/boost/geometry/geometries/adapted/boost_polygon/polygon.hpp
new file mode 100644
index 0000000000..5703601e05
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/polygon.hpp
@@ -0,0 +1,111 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_POLYGON_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_POLYGON_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::polygon_with_holes_data -> boost::geometry::polygon
+
+#include <boost/polygon/polygon.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/adapted/boost_polygon/ring_proxy.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/hole_iterator.hpp>
+#include <boost/geometry/geometries/adapted/boost_polygon/holes_proxy.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template <typename CoordinateType>
+struct tag<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef polygon_tag type;
+};
+
+template <typename CoordinateType>
+struct ring_const_type<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef adapt::bp::ring_proxy<boost::polygon::polygon_with_holes_data<CoordinateType> const> type;
+};
+
+template <typename CoordinateType>
+struct ring_mutable_type<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef adapt::bp::ring_proxy<boost::polygon::polygon_with_holes_data<CoordinateType> > type;
+};
+
+template <typename CoordinateType>
+struct interior_const_type<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef adapt::bp::holes_proxy<boost::polygon::polygon_with_holes_data<CoordinateType> const> type;
+};
+
+template <typename CoordinateType>
+struct interior_mutable_type<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef adapt::bp::holes_proxy<boost::polygon::polygon_with_holes_data<CoordinateType> > type;
+};
+
+
+template <typename CoordinateType>
+struct exterior_ring<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef boost::polygon::polygon_with_holes_data<CoordinateType> polygon_type;
+ typedef adapt::bp::ring_proxy<polygon_type> proxy;
+ typedef adapt::bp::ring_proxy<polygon_type const> const_proxy;
+
+ static inline proxy get(polygon_type& p)
+ {
+ return proxy(p);
+ }
+
+ static inline const_proxy get(polygon_type const& p)
+ {
+ return const_proxy(p);
+ }
+};
+
+template <typename CoordinateType>
+struct interior_rings<boost::polygon::polygon_with_holes_data<CoordinateType> >
+{
+ typedef boost::polygon::polygon_with_holes_data<CoordinateType> polygon_type;
+ typedef adapt::bp::holes_proxy<polygon_type> proxy;
+ typedef adapt::bp::holes_proxy<polygon_type const> const_proxy;
+
+ static inline proxy get(polygon_type& p)
+ {
+ return proxy(p);
+ }
+
+ static inline const_proxy get(polygon_type const& p)
+ {
+ return const_proxy(p);
+ }
+};
+
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_POLYGON_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_polygon/ring.hpp b/boost/geometry/geometries/adapted/boost_polygon/ring.hpp
new file mode 100644
index 0000000000..93b21fee94
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/ring.hpp
@@ -0,0 +1,163 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::polygon_data -> boost::geometry::ring
+
+#include <cstddef>
+#include <boost/polygon/polygon.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template <typename CoordinateType>
+struct tag<boost::polygon::polygon_data<CoordinateType> >
+{
+ typedef ring_tag type;
+};
+
+template <typename CoordinateType>
+struct clear<boost::polygon::polygon_data<CoordinateType> >
+{
+ static inline void apply(boost::polygon::polygon_data<CoordinateType>& data)
+ {
+ // There is no "clear" function but we can assign
+ // a newly (and therefore empty) constructed polygon
+ boost::polygon::assign(data, boost::polygon::polygon_data<CoordinateType>());
+ }
+};
+
+template <typename CoordinateType>
+struct push_back<boost::polygon::polygon_data<CoordinateType> >
+{
+ typedef boost::polygon::point_data<CoordinateType> point_type;
+
+ static inline void apply(boost::polygon::polygon_data<CoordinateType>& data,
+ point_type const& point)
+ {
+ // Boost.Polygon's polygons are not appendable. So create a temporary vector,
+ // add a record and set it to the original. Of course: this is not efficient.
+ // But there seems no other way (without using a wrapper)
+ std::vector<point_type> temporary_vector
+ (
+ boost::polygon::begin_points(data),
+ boost::polygon::end_points(data)
+ );
+ temporary_vector.push_back(point);
+ data.set(temporary_vector.begin(), temporary_vector.end());
+ }
+};
+
+
+
+
+} // namespace traits
+
+}} // namespace boost::geometry
+
+
+// Adapt Boost.Polygon's polygon_data to Boost.Range
+// This just translates to
+// polygon_data.begin() and polygon_data.end()
+namespace boost
+{
+ template<typename CoordinateType>
+ struct range_mutable_iterator<boost::polygon::polygon_data<CoordinateType> >
+ {
+ typedef typename boost::polygon::polygon_traits
+ <
+ boost::polygon::polygon_data<CoordinateType>
+ >::iterator_type type;
+ };
+
+ template<typename CoordinateType>
+ struct range_const_iterator<boost::polygon::polygon_data<CoordinateType> >
+ {
+ typedef typename boost::polygon::polygon_traits
+ <
+ boost::polygon::polygon_data<CoordinateType>
+ >::iterator_type type;
+ };
+
+ template<typename CoordinateType>
+ struct range_size<boost::polygon::polygon_data<CoordinateType> >
+ {
+ typedef std::size_t type;
+ };
+
+} // namespace boost
+
+
+// Support Boost.Polygon's polygon_data for Boost.Range ADP
+namespace boost { namespace polygon
+{
+
+template<typename CoordinateType>
+inline typename polygon_traits
+ <
+ polygon_data<CoordinateType>
+ >::iterator_type range_begin(polygon_data<CoordinateType>& polygon)
+{
+ return polygon.begin();
+}
+
+template<typename CoordinateType>
+inline typename polygon_traits
+ <
+ polygon_data<CoordinateType>
+ >::iterator_type range_begin(polygon_data<CoordinateType> const& polygon)
+{
+ return polygon.begin();
+}
+
+template<typename CoordinateType>
+inline typename polygon_traits
+ <
+ polygon_data<CoordinateType>
+ >::iterator_type range_end(polygon_data<CoordinateType>& polygon)
+{
+ return polygon.end();
+}
+
+template<typename CoordinateType>
+inline typename polygon_traits
+ <
+ polygon_data<CoordinateType>
+ >::iterator_type range_end(polygon_data<CoordinateType> const& polygon)
+{
+ return polygon.end();
+}
+
+template<typename CoordinateType>
+inline std::size_t range_calculate_size(polygon_data<CoordinateType> const& polygon)
+{
+ return polygon.size();
+}
+
+}}
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_HPP
diff --git a/boost/geometry/geometries/adapted/boost_polygon/ring_proxy.hpp b/boost/geometry/geometries/adapted/boost_polygon/ring_proxy.hpp
new file mode 100644
index 0000000000..825ef8061f
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_polygon/ring_proxy.hpp
@@ -0,0 +1,301 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_PROXY_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_PROXY_HPP
+
+// Adapts Geometries from Boost.Polygon for usage in Boost.Geometry
+// boost::polygon::polygon_with_holes_data -> boost::geometry::polygon
+// pair{begin_points, end_points} -> ring_proxy
+
+#include <boost/polygon/polygon.hpp>
+#include <boost/range.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+namespace adapt { namespace bp
+{
+
+namespace detail
+{
+
+template <bool Mutable>
+struct modify
+{};
+
+template <>
+struct modify<true>
+{
+ template <typename Ring, typename Point>
+ static inline void push_back(Ring& ring, Point const& point)
+ {
+ // Boost.Polygon's polygons are not appendable. So create a temporary vector,
+ // add a record and set it to the original. Of course: this is not efficient.
+ // But there seems no other way (without using a wrapper)
+ std::vector<Point> temporary_vector
+ (
+ boost::polygon::begin_points(ring),
+ boost::polygon::end_points(ring)
+ );
+ temporary_vector.push_back(point);
+ boost::polygon::set_points(ring, temporary_vector.begin(), temporary_vector.end());
+ }
+
+};
+
+template <>
+struct modify<false>
+{
+ template <typename Ring, typename Point>
+ static inline void push_back(Ring& ring, Point const& point)
+ {
+ }
+
+};
+
+
+}
+
+
+// Polygon should implement the boost::polygon::polygon_with_holes_concept
+// Specify constness in the template parameter if necessary
+template<typename Polygon>
+class ring_proxy
+{
+public :
+ typedef typename boost::polygon::polygon_traits
+ <
+ typename boost::remove_const<Polygon>::type
+ >::iterator_type iterator_type;
+
+ typedef typename boost::polygon::polygon_with_holes_traits
+ <
+ typename boost::remove_const<Polygon>::type
+ >::iterator_holes_type hole_iterator_type;
+
+ static const bool is_mutable = !boost::is_const<Polygon>::type::value;
+
+ inline ring_proxy(Polygon& p)
+ : m_polygon_pointer(&p)
+ , m_do_hole(false)
+ {}
+
+ // Constructor used from hole_iterator
+ inline ring_proxy(Polygon& p, hole_iterator_type hole_it)
+ : m_polygon_pointer(&p)
+ , m_do_hole(true)
+ , m_hole_it(hole_it)
+ {}
+
+ // Default constructor, for mutable polygons / appending (interior) rings
+ inline ring_proxy()
+ : m_polygon_pointer(&m_polygon_for_default_constructor)
+ , m_do_hole(false)
+ {}
+
+
+ iterator_type begin() const
+ {
+ return m_do_hole
+ ? boost::polygon::begin_points(*m_hole_it)
+ : boost::polygon::begin_points(*m_polygon_pointer)
+ ;
+ }
+
+ iterator_type begin()
+ {
+ return m_do_hole
+ ? boost::polygon::begin_points(*m_hole_it)
+ : boost::polygon::begin_points(*m_polygon_pointer)
+ ;
+ }
+
+ iterator_type end() const
+ {
+ return m_do_hole
+ ? boost::polygon::end_points(*m_hole_it)
+ : boost::polygon::end_points(*m_polygon_pointer)
+ ;
+ }
+
+ iterator_type end()
+ {
+ return m_do_hole
+ ? boost::polygon::end_points(*m_hole_it)
+ : boost::polygon::end_points(*m_polygon_pointer)
+ ;
+ }
+
+ // Mutable
+ void clear()
+ {
+ Polygon p;
+ if (m_do_hole)
+ {
+ // Does NOT work see comment above
+ }
+ else
+ {
+ boost::polygon::set_points(*m_polygon_pointer,
+ boost::polygon::begin_points(p),
+ boost::polygon::end_points(p));
+ }
+ }
+
+ void resize(std::size_t new_size)
+ {
+ if (m_do_hole)
+ {
+ // Does NOT work see comment above
+ }
+ else
+ {
+ // TODO: implement this by resizing the container
+ }
+ }
+
+
+
+ template <typename Point>
+ void push_back(Point const& point)
+ {
+ if (m_do_hole)
+ {
+ //detail::modify<is_mutable>::push_back(*m_hole_it, point);
+ //std::cout << "HOLE: " << typeid(*m_hole_it).name() << std::endl;
+ //std::cout << "HOLE: " << typeid(m_hole_it).name() << std::endl;
+ //std::cout << "HOLE: " << typeid(hole_iterator_type).name() << std::endl;
+
+ // Note, ths does NOT work because hole_iterator_type is defined
+ // as a const_iterator by Boost.Polygon
+
+ }
+ else
+ {
+ detail::modify<is_mutable>::push_back(*m_polygon_pointer, point);
+ }
+ }
+
+private :
+ Polygon* m_polygon_pointer;
+ bool m_do_hole;
+ hole_iterator_type m_hole_it;
+
+ Polygon m_polygon_for_default_constructor;
+};
+
+
+
+
+// Support geometry::adapt::bp::ring_proxy for Boost.Range ADP
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::ring_proxy<Polygon>::iterator_type
+ range_begin(boost::geometry::adapt::bp::ring_proxy<Polygon>& proxy)
+{
+ return proxy.begin();
+}
+
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::ring_proxy<Polygon const>::iterator_type
+ range_begin(boost::geometry::adapt::bp::ring_proxy<Polygon const> const& proxy)
+{
+ return proxy.begin();
+}
+
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::ring_proxy<Polygon>::iterator_type
+ range_end(boost::geometry::adapt::bp::ring_proxy<Polygon>& proxy)
+{
+ return proxy.end();
+}
+
+template<typename Polygon>
+inline typename boost::geometry::adapt::bp::ring_proxy<Polygon const>::iterator_type
+ range_end(boost::geometry::adapt::bp::ring_proxy<Polygon const> const& proxy)
+{
+ return proxy.end();
+}
+
+
+
+
+}} // namespace adapt::bp
+
+
+namespace traits
+{
+
+template <typename Polygon>
+struct tag<adapt::bp::ring_proxy<Polygon> >
+{
+ typedef ring_tag type;
+};
+
+
+template <typename Polygon>
+struct rvalue_type<adapt::bp::ring_proxy<Polygon> >
+{
+ typedef adapt::bp::ring_proxy<Polygon> type;
+};
+
+template <typename Polygon>
+struct clear<adapt::bp::ring_proxy<Polygon> >
+{
+ static inline void apply(adapt::bp::ring_proxy<Polygon> proxy)
+ {
+ proxy.clear();
+ }
+};
+
+
+template <typename Polygon>
+struct resize<adapt::bp::ring_proxy<Polygon> >
+{
+ static inline void apply(adapt::bp::ring_proxy<Polygon> proxy, std::size_t new_size)
+ {
+ proxy.resize(new_size);
+ }
+};
+
+template <typename Polygon>
+struct push_back<adapt::bp::ring_proxy<Polygon> >
+{
+ static inline void apply(adapt::bp::ring_proxy<Polygon> proxy,
+ typename boost::polygon::polygon_traits<Polygon>::point_type const& point)
+ {
+ proxy.push_back(point);
+ }
+};
+
+
+} // namespace traits
+
+}} // namespace boost::geometry
+
+// Specialize ring_proxy for Boost.Range
+namespace boost
+{
+ template<typename Polygon>
+ struct range_mutable_iterator<geometry::adapt::bp::ring_proxy<Polygon> >
+ {
+ typedef typename geometry::adapt::bp::ring_proxy<Polygon>::iterator_type type;
+ };
+
+ template<typename Polygon>
+ struct range_const_iterator<geometry::adapt::bp::ring_proxy<Polygon> >
+ {
+ typedef typename geometry::adapt::bp::ring_proxy<Polygon const>::iterator_type type;
+ };
+
+} // namespace boost
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_POLYGON_RING_PROXY_HPP
diff --git a/boost/geometry/geometries/adapted/boost_range/adjacent_filtered.hpp b/boost/geometry/geometries/adapted/boost_range/adjacent_filtered.hpp
new file mode 100644
index 0000000000..496dbeaec6
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/adjacent_filtered.hpp
@@ -0,0 +1,40 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_ADJACENT_FILTERED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_ADJACENT_FILTERED_HPP
+
+
+#include <boost/range/adaptor/adjacent_filtered.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Filter, typename Geometry, bool DefaultPass>
+#if BOOST_VERSION > 104500
+struct tag<boost::adjacent_filtered_range<Filter, Geometry, DefaultPass> >
+#else
+struct tag<boost::range_detail::adjacent_filter_range<Filter, Geometry, DefaultPass> >
+#endif
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_ADJACENT_FILTERED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_range/filtered.hpp b/boost/geometry/geometries/adapted/boost_range/filtered.hpp
new file mode 100644
index 0000000000..990d608460
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/filtered.hpp
@@ -0,0 +1,40 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_FILTERED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_FILTERED_HPP
+
+
+#include <boost/range/adaptor/filtered.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Filter, typename Geometry>
+#if BOOST_VERSION > 104500
+struct tag<boost::filtered_range<Filter, Geometry> >
+#else
+struct tag<boost::range_detail::filter_range<Filter, Geometry> >
+#endif
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_FILTERED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_range/reversed.hpp b/boost/geometry/geometries/adapted/boost_range/reversed.hpp
new file mode 100644
index 0000000000..3c8601fe19
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/reversed.hpp
@@ -0,0 +1,40 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_REVERSED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_REVERSED_HPP
+
+
+#include <boost/range/adaptor/reversed.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Geometry>
+#if BOOST_VERSION > 104500
+struct tag<boost::reversed_range<Geometry> >
+#else
+struct tag<boost::range_detail::reverse_range<Geometry> >
+#endif
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_REVERSED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_range/sliced.hpp b/boost/geometry/geometries/adapted/boost_range/sliced.hpp
new file mode 100644
index 0000000000..70189819ca
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/sliced.hpp
@@ -0,0 +1,36 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_SLICED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_SLICED_HPP
+
+
+#include <boost/range/adaptor/sliced.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Geometry>
+struct tag<boost::adaptors::sliced_range<Geometry> >
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_SLICED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_range/strided.hpp b/boost/geometry/geometries/adapted/boost_range/strided.hpp
new file mode 100644
index 0000000000..5c9cdd6a82
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/strided.hpp
@@ -0,0 +1,36 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_STRIDED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_STRIDED_HPP
+
+
+#include <boost/range/adaptor/strided.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Geometry>
+struct tag<boost::strided_range<Geometry> >
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_STRIDED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_range/uniqued.hpp b/boost/geometry/geometries/adapted/boost_range/uniqued.hpp
new file mode 100644
index 0000000000..beb51fe0b8
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_range/uniqued.hpp
@@ -0,0 +1,40 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2010-2012 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_GEOMETRIES_ADAPTED_BOOST_RANGE_UNIQUED_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_UNIQUED_HPP
+
+
+#include <boost/range/adaptor/uniqued.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace traits
+{
+
+template<typename Geometry>
+#if BOOST_VERSION > 104500
+struct tag<boost::uniqued_range<Geometry> >
+#else
+struct tag<boost::range_detail::unique_range<Geometry> >
+#endif
+{
+ typedef typename geometry::tag<Geometry>::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_RANGE_UNIQUED_HPP
+
diff --git a/boost/geometry/geometries/adapted/boost_tuple.hpp b/boost/geometry/geometries/adapted/boost_tuple.hpp
new file mode 100644
index 0000000000..58065fe9af
--- /dev/null
+++ b/boost/geometry/geometries/adapted/boost_tuple.hpp
@@ -0,0 +1,109 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_ADAPTED_BOOST_TUPLE_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_BOOST_TUPLE_HPP
+
+
+#include <cstddef>
+
+#include <boost/tuple/tuple.hpp>
+
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+template <typename T1, typename T2, typename T3, typename T4, typename T5,
+ typename T6, typename T7, typename T8, typename T9, typename T10>
+struct tag<boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10> >
+{
+ typedef point_tag type;
+};
+
+
+template <typename T1, typename T2, typename T3, typename T4, typename T5,
+ typename T6, typename T7, typename T8, typename T9, typename T10>
+struct coordinate_type<boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10> >
+{
+ typedef T1 type;
+};
+
+
+template <typename T1, typename T2, typename T3, typename T4, typename T5,
+ typename T6, typename T7, typename T8, typename T9, typename T10>
+struct dimension<boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10> >
+ : boost::mpl::int_
+ <
+ boost::tuples::length
+ <
+ boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10>
+ >::value
+ >
+{};
+
+
+template <typename T1, typename T2, typename T3, typename T4, typename T5,
+ typename T6, typename T7, typename T8, typename T9, typename T10,
+ std::size_t Dimension>
+struct access
+ <
+ boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10>,
+ Dimension
+ >
+{
+ static inline T1 get(
+ boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10> const& point)
+ {
+ return point.template get<Dimension>();
+ }
+
+ static inline void set(
+ boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10>& point,
+ T1 const& value)
+ {
+ point.template get<Dimension>() = value;
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+// Convenience registration macro to bind boost::tuple to a CS
+#define BOOST_GEOMETRY_REGISTER_BOOST_TUPLE_CS(CoordinateSystem) \
+ namespace boost { namespace geometry { namespace traits { \
+ template <typename T1, typename T2, typename T3, typename T4, typename T5, \
+ typename T6, typename T7, typename T8, typename T9, typename T10> \
+ struct coordinate_system<boost::tuple<T1, T2, T3, T4, T5, T6, T7, T8, T9, T10> > \
+ { \
+ typedef CoordinateSystem type; \
+ }; \
+ }}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_TUPLE_HPP
diff --git a/boost/geometry/geometries/adapted/c_array.hpp b/boost/geometry/geometries/adapted/c_array.hpp
new file mode 100644
index 0000000000..1b4523d969
--- /dev/null
+++ b/boost/geometry/geometries/adapted/c_array.hpp
@@ -0,0 +1,111 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_ADAPTED_C_ARRAY_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_C_ARRAY_HPP
+
+#include <cstddef>
+
+#include <boost/type_traits/is_arithmetic.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+// Create class and specialization to indicate the tag
+// for normal cases and the case that the type of the c-array is arithmetic
+template <bool>
+struct c_array_tag
+{
+ typedef geometry_not_recognized_tag type;
+};
+
+
+template <>
+struct c_array_tag<true>
+{
+ typedef point_tag type;
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+// Assign the point-tag, preventing arrays of points getting a point-tag
+template <typename CoordinateType, std::size_t DimensionCount>
+struct tag<CoordinateType[DimensionCount]>
+ : detail::c_array_tag<boost::is_arithmetic<CoordinateType>::value> {};
+
+
+template <typename CoordinateType, std::size_t DimensionCount>
+struct coordinate_type<CoordinateType[DimensionCount]>
+{
+ typedef CoordinateType type;
+};
+
+
+template <typename CoordinateType, std::size_t DimensionCount>
+struct dimension<CoordinateType[DimensionCount]>: boost::mpl::int_<DimensionCount> {};
+
+
+template <typename CoordinateType, std::size_t DimensionCount, std::size_t Dimension>
+struct access<CoordinateType[DimensionCount], Dimension>
+{
+ static inline CoordinateType get(CoordinateType const p[DimensionCount])
+ {
+ return p[Dimension];
+ }
+
+ static inline void set(CoordinateType p[DimensionCount],
+ CoordinateType const& value)
+ {
+ p[Dimension] = value;
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#define BOOST_GEOMETRY_REGISTER_C_ARRAY_CS(CoordinateSystem) \
+ namespace boost { namespace geometry { namespace traits { \
+ template <typename T, std::size_t N> \
+ struct coordinate_system<T[N]> \
+ { \
+ typedef CoordinateSystem type; \
+ }; \
+ }}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_C_ARRAY_HPP
diff --git a/boost/geometry/geometries/adapted/std_pair_as_segment.hpp b/boost/geometry/geometries/adapted/std_pair_as_segment.hpp
new file mode 100644
index 0000000000..e9200e0fd0
--- /dev/null
+++ b/boost/geometry/geometries/adapted/std_pair_as_segment.hpp
@@ -0,0 +1,98 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_ADAPTED_STD_PAIR_AS_SEGMENT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_ADAPTED_STD_PAIR_AS_SEGMENT_HPP
+
+// Only possible if the std::pair is not used for iterator/pair
+// (maybe it is possible to avoid that by detecting in the other file
+// if an iterator was used in the pair)
+
+#ifdef BOOST_GEOMETRY_ADAPTED_STD_RANGE_TAG_DEFINED
+#error Include only one headerfile to register tag for adapted std:: containers or iterator pair
+#endif
+
+#define BOOST_GEOMETRY_ADAPTED_STD_RANGE_TAG_DEFINED
+
+
+#include <cstddef>
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+
+template <typename Point>
+struct tag<std::pair<Point, Point> >
+{
+ typedef segment_tag type;
+};
+
+template <typename Point>
+struct point_type<std::pair<Point, Point> >
+{
+ typedef Point type;
+};
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<std::pair<Point, Point>, 0, Dimension>
+{
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ static inline coordinate_type get(std::pair<Point, Point> const& s)
+ {
+ return geometry::get<Dimension>(s.first);
+ }
+
+ static inline void set(std::pair<Point, Point>& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.first, value);
+ }
+};
+
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<std::pair<Point, Point>, 1, Dimension>
+{
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ static inline coordinate_type get(std::pair<Point, Point> const& s)
+ {
+ return geometry::get<Dimension>(s.second);
+ }
+
+ static inline void set(std::pair<Point, Point>& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.second, value);
+ }
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_ADAPTED_STD_PAIR_AS_SEGMENT_HPP
diff --git a/boost/geometry/geometries/box.hpp b/boost/geometry/geometries/box.hpp
new file mode 100644
index 0000000000..a2e3d4fd79
--- /dev/null
+++ b/boost/geometry/geometries/box.hpp
@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_BOX_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_BOX_HPP
+
+#include <cstddef>
+
+#include <boost/concept/assert.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+
+/*!
+ \brief Class box: defines a box made of two describing points
+ \ingroup geometries
+ \details Box is always described by a min_corner() and a max_corner() point. If another
+ rectangle is used, use linear_ring or polygon.
+ \note Boxes are for selections and for calculating the envelope of geometries. Not all algorithms
+ are implemented for box. Boxes are also used in Spatial Indexes.
+ \tparam Point point type. The box takes a point type as template parameter.
+ The point type can be any point type.
+ It can be 2D but can also be 3D or more dimensional.
+ The box can also take a latlong point type as template parameter.
+ */
+
+template<typename Point>
+class box
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+public:
+
+ inline box() {}
+
+ /*!
+ \brief Constructor taking the minimum corner point and the maximum corner point
+ */
+ inline box(Point const& min_corner, Point const& max_corner)
+ {
+ geometry::convert(min_corner, m_min_corner);
+ geometry::convert(max_corner, m_max_corner);
+ }
+
+ inline Point const& min_corner() const { return m_min_corner; }
+ inline Point const& max_corner() const { return m_max_corner; }
+
+ inline Point& min_corner() { return m_min_corner; }
+ inline Point& max_corner() { return m_max_corner; }
+
+private:
+
+ Point m_min_corner;
+ Point m_max_corner;
+};
+
+
+} // namespace model
+
+
+// Traits specializations for box above
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template <typename Point>
+struct tag<model::box<Point> >
+{
+ typedef box_tag type;
+};
+
+template <typename Point>
+struct point_type<model::box<Point> >
+{
+ typedef Point type;
+};
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<model::box<Point>, min_corner, Dimension>
+{
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ static inline coordinate_type get(model::box<Point> const& b)
+ {
+ return geometry::get<Dimension>(b.min_corner());
+ }
+
+ static inline void set(model::box<Point>& b, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(b.min_corner(), value);
+ }
+};
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<model::box<Point>, max_corner, Dimension>
+{
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ static inline coordinate_type get(model::box<Point> const& b)
+ {
+ return geometry::get<Dimension>(b.max_corner());
+ }
+
+ static inline void set(model::box<Point>& b, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(b.max_corner(), value);
+ }
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_BOX_HPP
diff --git a/boost/geometry/geometries/concepts/box_concept.hpp b/boost/geometry/geometries/concepts/box_concept.hpp
new file mode 100644
index 0000000000..ea0d84cf31
--- /dev/null
+++ b/boost/geometry/geometries/concepts/box_concept.hpp
@@ -0,0 +1,136 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_BOX_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_BOX_CONCEPT_HPP
+
+
+#include <cstddef>
+
+#include <boost/concept_check.hpp>
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief Box concept
+\ingroup concepts
+\par Formal definition:
+The box concept is defined as following:
+- there must be a specialization of traits::tag defining box_tag as type
+- there must be a specialization of traits::point_type to define the
+ underlying point type (even if it does not consist of points, it should define
+ this type, to indicate the points it can work with)
+- there must be a specialization of traits::indexed_access, per index
+ (min_corner, max_corner) and per dimension, with two functions:
+ - get to get a coordinate value
+ - set to set a coordinate value (this one is not checked for ConstBox)
+*/
+template <typename Geometry>
+class Box
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+
+ template
+ <
+ std::size_t Index,
+ std::size_t Dimension,
+ std::size_t DimensionCount
+ >
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ Geometry* b = 0;
+ geometry::set<Index, Dimension>(*b, geometry::get<Index, Dimension>(*b));
+ dimension_checker<Index, Dimension + 1, DimensionCount>::apply();
+ }
+ };
+
+ template <std::size_t Index, std::size_t DimensionCount>
+ struct dimension_checker<Index, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(Box)
+ {
+ static const std::size_t n = dimension<Geometry>::type::value;
+ dimension_checker<min_corner, 0, n>::apply();
+ dimension_checker<max_corner, 0, n>::apply();
+ }
+#endif
+};
+
+
+/*!
+\brief Box concept (const version)
+\ingroup const_concepts
+\details The ConstBox concept apply the same as the Box concept,
+but does not apply write access.
+*/
+template <typename Geometry>
+class ConstBox
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+ typedef typename coordinate_type<Geometry>::type coordinate_type;
+
+ template
+ <
+ std::size_t Index,
+ std::size_t Dimension,
+ std::size_t DimensionCount
+ >
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ const Geometry* b = 0;
+ coordinate_type coord(geometry::get<Index, Dimension>(*b));
+ boost::ignore_unused_variable_warning(coord);
+ dimension_checker<Index, Dimension + 1, DimensionCount>::apply();
+ }
+ };
+
+ template <std::size_t Index, std::size_t DimensionCount>
+ struct dimension_checker<Index, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(ConstBox)
+ {
+ static const std::size_t n = dimension<Geometry>::type::value;
+ dimension_checker<min_corner, 0, n>::apply();
+ dimension_checker<max_corner, 0, n>::apply();
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_BOX_CONCEPT_HPP
diff --git a/boost/geometry/geometries/concepts/check.hpp b/boost/geometry/geometries/concepts/check.hpp
new file mode 100644
index 0000000000..f8001f0d12
--- /dev/null
+++ b/boost/geometry/geometries/concepts/check.hpp
@@ -0,0 +1,171 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_CHECK_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_CHECK_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/concept/requires.hpp>
+
+#include <boost/type_traits/is_const.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+
+#include <boost/geometry/geometries/concepts/box_concept.hpp>
+#include <boost/geometry/geometries/concepts/linestring_concept.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/concepts/polygon_concept.hpp>
+#include <boost/geometry/geometries/concepts/ring_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace concept_check
+{
+
+template <typename Concept>
+class check
+{
+ BOOST_CONCEPT_ASSERT((Concept ));
+};
+
+}} // namespace detail::concept_check
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename GeometryTag, typename Geometry, bool IsConst>
+struct check
+{};
+
+
+template <typename Geometry>
+struct check<point_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstPoint<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<point_tag, Geometry, false>
+ : detail::concept_check::check<concept::Point<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<linestring_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstLinestring<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<linestring_tag, Geometry, false>
+ : detail::concept_check::check<concept::Linestring<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<polygon_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstPolygon<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<polygon_tag, Geometry, false>
+ : detail::concept_check::check<concept::Polygon<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<box_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstBox<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<box_tag, Geometry, false>
+ : detail::concept_check::check<concept::Box<Geometry> >
+{};
+
+
+
+} // namespace dispatch
+#endif
+
+
+
+
+namespace concept
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template <typename Geometry, bool IsConst>
+struct checker : dispatch::check
+ <
+ typename tag<Geometry>::type,
+ Geometry,
+ IsConst
+ >
+{};
+
+
+}
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+ \brief Checks, in compile-time, the concept of any geometry
+ \ingroup concepts
+*/
+template <typename Geometry>
+inline void check()
+{
+ detail::checker<Geometry, boost::is_const<Geometry>::type::value> c;
+ boost::ignore_unused_variable_warning(c);
+}
+
+
+/*!
+ \brief Checks, in compile-time, the concept of two geometries, and if they
+ have equal dimensions
+ \ingroup concepts
+*/
+template <typename Geometry1, typename Geometry2>
+inline void check_concepts_and_equal_dimensions()
+{
+ check<Geometry1>();
+ check<Geometry2>();
+ assert_dimension_equal<Geometry1, Geometry2>();
+}
+
+
+} // namespace concept
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_CHECK_HPP
diff --git a/boost/geometry/geometries/concepts/linestring_concept.hpp b/boost/geometry/geometries/concepts/linestring_concept.hpp
new file mode 100644
index 0000000000..091336fe30
--- /dev/null
+++ b/boost/geometry/geometries/concepts/linestring_concept.hpp
@@ -0,0 +1,125 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_LINESTRING_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_LINESTRING_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief Linestring concept
+\ingroup concepts
+\par Formal definition:
+The linestring concept is defined as following:
+- there must be a specialization of traits::tag defining linestring_tag as type
+- it must behave like a Boost.Range
+- it must implement a std::back_insert_iterator
+ - either by implementing push_back
+ - or by specializing std::back_insert_iterator
+
+\note to fulfill the concepts, no traits class has to be specialized to
+define the point type.
+
+\par Example:
+
+A custom linestring, defining the necessary specializations to fulfill to the concept.
+
+Suppose that the following linestring is defined:
+\dontinclude doxygen_5.cpp
+\skip custom_linestring1
+\until };
+
+It can then be adapted to the concept as following:
+\dontinclude doxygen_5.cpp
+\skip adapt custom_linestring1
+\until }}
+
+\note
+- There is also the registration macro BOOST_GEOMETRY_REGISTER_LINESTRING
+- For registration of std::vector<P> (and deque, and list) it is enough to
+include the header-file geometries/adapted/std_as_linestring.hpp. That registers
+a vector as a linestring (so it cannot be registered as a linear ring then,
+in the same source code).
+
+
+*/
+
+template <typename Geometry>
+class Linestring
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+public :
+
+ BOOST_CONCEPT_USAGE(Linestring)
+ {
+ Geometry* ls = 0;
+ traits::clear<Geometry>::apply(*ls);
+ traits::resize<Geometry>::apply(*ls, 0);
+ point_type* point = 0;
+ traits::push_back<Geometry>::apply(*ls, *point);
+ }
+#endif
+};
+
+
+/*!
+\brief Linestring concept (const version)
+\ingroup const_concepts
+\details The ConstLinestring concept check the same as the Linestring concept,
+but does not check write access.
+*/
+template <typename Geometry>
+class ConstLinestring
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<point_type>) );
+ //BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+ // Relaxed the concept.
+ BOOST_CONCEPT_ASSERT( (boost::ForwardRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstLinestring)
+ {
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_LINESTRING_CONCEPT_HPP
diff --git a/boost/geometry/geometries/concepts/point_concept.hpp b/boost/geometry/geometries/concepts/point_concept.hpp
new file mode 100644
index 0000000000..1e1b31e61f
--- /dev/null
+++ b/boost/geometry/geometries/concepts/point_concept.hpp
@@ -0,0 +1,176 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_POINT_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_POINT_CONCEPT_HPP
+
+#include <cstddef>
+
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/coordinate_system.hpp>
+
+
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+/*!
+\brief Point concept.
+\ingroup concepts
+
+\par Formal definition:
+The point concept is defined as following:
+- there must be a specialization of traits::tag defining point_tag as type
+- there must be a specialization of traits::coordinate_type defining the type
+ of its coordinates
+- there must be a specialization of traits::coordinate_system defining its
+ coordinate system (cartesian, spherical, etc)
+- there must be a specialization of traits::dimension defining its number
+ of dimensions (2, 3, ...) (derive it conveniently
+ from boost::mpl::int_&lt;X&gt; for X-D)
+- there must be a specialization of traits::access, per dimension,
+ with two functions:
+ - \b get to get a coordinate value
+ - \b set to set a coordinate value (this one is not checked for ConstPoint)
+
+\par Example:
+
+A legacy point, defining the necessary specializations to fulfil to the concept.
+
+Suppose that the following point is defined:
+\dontinclude doxygen_5.cpp
+\skip legacy_point1
+\until };
+
+It can then be adapted to the concept as following:
+\dontinclude doxygen_5.cpp
+\skip adapt legacy_point1
+\until }}
+
+Note that it is done like above to show the system. Users will normally use the registration macro.
+
+\par Example:
+
+A read-only legacy point, using a macro to fulfil to the ConstPoint concept.
+It cannot be modified by the library but can be used in all algorithms where
+points are not modified.
+
+The point looks like the following:
+
+\dontinclude doxygen_5.cpp
+\skip legacy_point2
+\until };
+
+It uses the macro as following:
+\dontinclude doxygen_5.cpp
+\skip adapt legacy_point2
+\until end adaptation
+
+*/
+
+template <typename Geometry>
+class Point
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ typedef typename coordinate_type<Geometry>::type ctype;
+ typedef typename coordinate_system<Geometry>::type csystem;
+
+ enum { ccount = dimension<Geometry>::value };
+
+
+ template <typename P, std::size_t Dimension, std::size_t DimensionCount>
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ P* p = 0;
+ geometry::set<Dimension>(*p, geometry::get<Dimension>(*p));
+ dimension_checker<P, Dimension+1, DimensionCount>::apply();
+ }
+ };
+
+
+ template <typename P, std::size_t DimensionCount>
+ struct dimension_checker<P, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public:
+
+ /// BCCL macro to apply the Point concept
+ BOOST_CONCEPT_USAGE(Point)
+ {
+ dimension_checker<Geometry, 0, ccount>::apply();
+ }
+#endif
+};
+
+
+/*!
+\brief point concept (const version).
+
+\ingroup const_concepts
+
+\details The ConstPoint concept apply the same as the Point concept,
+but does not apply write access.
+
+*/
+template <typename Geometry>
+class ConstPoint
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ typedef typename coordinate_type<Geometry>::type ctype;
+ typedef typename coordinate_system<Geometry>::type csystem;
+
+ enum { ccount = dimension<Geometry>::value };
+
+
+ template <typename P, std::size_t Dimension, std::size_t DimensionCount>
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ const P* p = 0;
+ ctype coord(geometry::get<Dimension>(*p));
+ boost::ignore_unused_variable_warning(coord);
+ dimension_checker<P, Dimension+1, DimensionCount>::apply();
+ }
+ };
+
+
+ template <typename P, std::size_t DimensionCount>
+ struct dimension_checker<P, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public:
+
+ /// BCCL macro to apply the ConstPoint concept
+ BOOST_CONCEPT_USAGE(ConstPoint)
+ {
+ dimension_checker<Geometry, 0, ccount>::apply();
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_POINT_CONCEPT_HPP
diff --git a/boost/geometry/geometries/concepts/polygon_concept.hpp b/boost/geometry/geometries/concepts/polygon_concept.hpp
new file mode 100644
index 0000000000..b478a2274e
--- /dev/null
+++ b/boost/geometry/geometries/concepts/polygon_concept.hpp
@@ -0,0 +1,135 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_POLYGON_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_POLYGON_CONCEPT_HPP
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.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/point_type.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/concepts/ring_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+/*!
+\brief Checks polygon concept
+\ingroup concepts
+*/
+template <typename PolygonType>
+class Polygon
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::remove_const<PolygonType>::type polygon_type;
+
+ typedef typename traits::ring_const_type<polygon_type>::type ring_const_type;
+ typedef typename traits::ring_mutable_type<polygon_type>::type ring_mutable_type;
+ typedef typename traits::interior_const_type<polygon_type>::type interior_const_type;
+ typedef typename traits::interior_mutable_type<polygon_type>::type interior_mutable_type;
+
+ typedef typename point_type<PolygonType>::type point_type;
+ typedef typename ring_type<PolygonType>::type ring_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+ BOOST_CONCEPT_ASSERT( (concept::Ring<ring_type>) );
+
+ //BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<interior_type>) );
+
+ struct checker
+ {
+ static inline void apply()
+ {
+ polygon_type* poly = 0;
+ polygon_type const* cpoly = poly;
+
+ ring_mutable_type e = traits::exterior_ring<PolygonType>::get(*poly);
+ interior_mutable_type i = traits::interior_rings<PolygonType>::get(*poly);
+ ring_const_type ce = traits::exterior_ring<PolygonType>::get(*cpoly);
+ interior_const_type ci = traits::interior_rings<PolygonType>::get(*cpoly);
+
+ boost::ignore_unused_variable_warning(e);
+ boost::ignore_unused_variable_warning(i);
+ boost::ignore_unused_variable_warning(ce);
+ boost::ignore_unused_variable_warning(ci);
+ boost::ignore_unused_variable_warning(poly);
+ boost::ignore_unused_variable_warning(cpoly);
+ }
+ };
+
+public:
+
+ BOOST_CONCEPT_USAGE(Polygon)
+ {
+ checker::apply();
+ }
+#endif
+};
+
+
+/*!
+\brief Checks polygon concept (const version)
+\ingroup const_concepts
+*/
+template <typename PolygonType>
+class ConstPolygon
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ typedef typename boost::remove_const<PolygonType>::type const_polygon_type;
+
+ typedef typename traits::ring_const_type<const_polygon_type>::type ring_const_type;
+ typedef typename traits::interior_const_type<const_polygon_type>::type interior_const_type;
+
+ typedef typename point_type<const_polygon_type>::type point_type;
+ typedef typename ring_type<const_polygon_type>::type ring_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<point_type>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstRing<ring_type>) );
+
+ ////BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<interior_type>) );
+
+ struct checker
+ {
+ static inline void apply()
+ {
+ const_polygon_type const* cpoly = 0;
+
+ ring_const_type ce = traits::exterior_ring<const_polygon_type>::get(*cpoly);
+ interior_const_type ci = traits::interior_rings<const_polygon_type>::get(*cpoly);
+
+ boost::ignore_unused_variable_warning(ce);
+ boost::ignore_unused_variable_warning(ci);
+ boost::ignore_unused_variable_warning(cpoly);
+ }
+ };
+
+public:
+
+ BOOST_CONCEPT_USAGE(ConstPolygon)
+ {
+ checker::apply();
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_POLYGON_CONCEPT_HPP
diff --git a/boost/geometry/geometries/concepts/ring_concept.hpp b/boost/geometry/geometries/concepts/ring_concept.hpp
new file mode 100644
index 0000000000..02a36c96f1
--- /dev/null
+++ b/boost/geometry/geometries/concepts/ring_concept.hpp
@@ -0,0 +1,99 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_RING_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_RING_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief ring concept
+\ingroup concepts
+\par Formal definition:
+The ring concept is defined as following:
+- there must be a specialization of traits::tag defining ring_tag as type
+- it must behave like a Boost.Range
+- there can optionally be a specialization of traits::point_order defining the
+ order or orientation of its points, clockwise or counterclockwise.
+- it must implement a std::back_insert_iterator
+ (This is the same as the for the concept Linestring, and described there)
+
+\note to fulfill the concepts, no traits class has to be specialized to
+define the point type.
+*/
+template <typename Geometry>
+class Ring
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+public :
+
+ BOOST_CONCEPT_USAGE(Ring)
+ {
+ Geometry* ring = 0;
+ traits::clear<Geometry>::apply(*ring);
+ traits::resize<Geometry>::apply(*ring, 0);
+ point_type* point = 0;
+ traits::push_back<Geometry>::apply(*ring, *point);
+ }
+#endif
+};
+
+
+/*!
+\brief (linear) ring concept (const version)
+\ingroup const_concepts
+\details The ConstLinearRing concept check the same as the Geometry concept,
+but does not check write access.
+*/
+template <typename Geometry>
+class ConstRing
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<point_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstRing)
+ {
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_RING_CONCEPT_HPP
diff --git a/boost/geometry/geometries/concepts/segment_concept.hpp b/boost/geometry/geometries/concepts/segment_concept.hpp
new file mode 100644
index 0000000000..8d2d300153
--- /dev/null
+++ b/boost/geometry/geometries/concepts/segment_concept.hpp
@@ -0,0 +1,135 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_GEOMETRIES_CONCEPTS_SEGMENT_CONCEPT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_SEGMENT_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief Segment concept.
+\ingroup concepts
+\details Formal definition:
+The segment concept is defined as following:
+- there must be a specialization of traits::tag defining segment_tag as type
+- there must be a specialization of traits::point_type to define the
+ underlying point type (even if it does not consist of points, it should define
+ this type, to indicate the points it can work with)
+- there must be a specialization of traits::indexed_access, per index
+ and per dimension, with two functions:
+ - get to get a coordinate value
+ - set to set a coordinate value (this one is not checked for ConstSegment)
+
+\note The segment concept is similar to the box concept, defining another tag.
+However, the box concept assumes the index as min_corner, max_corner, while
+for the segment concept there is no assumption.
+*/
+template <typename Geometry>
+class Segment
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+
+
+ template <size_t Index, size_t Dimension, size_t DimensionCount>
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ Geometry* s = 0;
+ geometry::set<Index, Dimension>(*s, geometry::get<Index, Dimension>(*s));
+ dimension_checker<Index, Dimension + 1, DimensionCount>::apply();
+ }
+ };
+
+ template <size_t Index, size_t DimensionCount>
+ struct dimension_checker<Index, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public :
+
+ BOOST_CONCEPT_USAGE(Segment)
+ {
+ static const size_t n = dimension<point_type>::type::value;
+ dimension_checker<0, 0, n>::apply();
+ dimension_checker<1, 0, n>::apply();
+ }
+#endif
+};
+
+
+/*!
+\brief Segment concept (const version).
+\ingroup const_concepts
+\details The ConstSegment concept verifies the same as the Segment concept,
+but does not verify write access.
+*/
+template <typename Geometry>
+class ConstSegment
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename point_type<Geometry>::type point_type;
+ typedef typename coordinate_type<Geometry>::type coordinate_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<point_type>) );
+
+
+ template <size_t Index, size_t Dimension, size_t DimensionCount>
+ struct dimension_checker
+ {
+ static void apply()
+ {
+ const Geometry* s = 0;
+ coordinate_type coord(geometry::get<Index, Dimension>(*s));
+ boost::ignore_unused_variable_warning(coord);
+ dimension_checker<Index, Dimension + 1, DimensionCount>::apply();
+ }
+ };
+
+ template <size_t Index, size_t DimensionCount>
+ struct dimension_checker<Index, DimensionCount, DimensionCount>
+ {
+ static void apply() {}
+ };
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstSegment)
+ {
+ static const size_t n = dimension<point_type>::type::value;
+ dimension_checker<0, 0, n>::apply();
+ dimension_checker<1, 0, n>::apply();
+ }
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_CONCEPTS_SEGMENT_CONCEPT_HPP
diff --git a/boost/geometry/geometries/geometries.hpp b/boost/geometry/geometries/geometries.hpp
new file mode 100644
index 0000000000..cda55c1d28
--- /dev/null
+++ b/boost/geometry/geometries/geometries.hpp
@@ -0,0 +1,25 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_HPP
+
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/geometries/linestring.hpp>
+#include <boost/geometry/geometries/polygon.hpp>
+
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/geometries/ring.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_HPP
diff --git a/boost/geometry/geometries/linestring.hpp b/boost/geometry/geometries/linestring.hpp
new file mode 100644
index 0000000000..38bc3d4c49
--- /dev/null
+++ b/boost/geometry/geometries/linestring.hpp
@@ -0,0 +1,95 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_LINESTRING_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_LINESTRING_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+/*!
+\brief A linestring (named so by OGC) is a collection (default a vector) of points.
+\ingroup geometries
+\tparam Point \tparam_point
+\tparam Container \tparam_container
+\tparam Allocator \tparam_allocator
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_linestring Linestring Concept]
+}
+
+*/
+template
+<
+ typename Point,
+ template<typename,typename> class Container = std::vector,
+ template<typename> class Allocator = std::allocator
+>
+class linestring : public Container<Point, Allocator<Point> >
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ typedef Container<Point, Allocator<Point> > base_type;
+
+public :
+ /// \constructor_default{linestring}
+ inline linestring()
+ : base_type()
+ {}
+
+ /// \constructor_begin_end{linestring}
+ template <typename Iterator>
+ inline linestring(Iterator begin, Iterator end)
+ : base_type(begin, end)
+ {}
+};
+
+} // namespace model
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename Point,
+ template<typename,typename> class Container,
+ template<typename> class Allocator
+>
+struct tag<model::linestring<Point, Container, Allocator> >
+{
+ typedef linestring_tag type;
+};
+} // namespace traits
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_LINESTRING_HPP
diff --git a/boost/geometry/geometries/point.hpp b/boost/geometry/geometries/point.hpp
new file mode 100644
index 0000000000..b40a47355d
--- /dev/null
+++ b/boost/geometry/geometries/point.hpp
@@ -0,0 +1,178 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_POINT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_POINT_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/int.hpp>
+#include <boost/static_assert.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/coordinate_system.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/util/math.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace model
+{
+
+/*!
+\brief Basic point class, having coordinates defined in a neutral way
+\details Defines a neutral point class, fulfilling the Point Concept.
+ Library users can use this point class, or use their own point classes.
+ This point class is used in most of the samples and tests of Boost.Geometry
+ This point class is used occasionally within the library, where a temporary
+ point class is necessary.
+\ingroup geometries
+\tparam CoordinateType \tparam_numeric
+\tparam DimensionCount number of coordinates, usually 2 or 3
+\tparam CoordinateSystem coordinate system, for example cs::cartesian
+
+\qbk{[include reference/geometries/point.qbk]}
+\qbk{before.synopsis, [heading Model of]}
+\qbk{before.synopsis, [link geometry.reference.concepts.concept_point Point Concept]}
+
+
+*/
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem
+>
+class point
+{
+public:
+
+ /// @brief Default constructor, no initialization
+ inline point()
+ {}
+
+ /// @brief Constructor to set one, two or three values
+ inline point(CoordinateType const& v0, CoordinateType const& v1 = 0, CoordinateType const& v2 = 0)
+ {
+ if (DimensionCount >= 1) m_values[0] = v0;
+ if (DimensionCount >= 2) m_values[1] = v1;
+ if (DimensionCount >= 3) m_values[2] = v2;
+ }
+
+ /// @brief Get a coordinate
+ /// @tparam K coordinate to get
+ /// @return the coordinate
+ template <std::size_t K>
+ inline CoordinateType const& get() const
+ {
+ BOOST_STATIC_ASSERT(K < DimensionCount);
+ return m_values[K];
+ }
+
+ /// @brief Set a coordinate
+ /// @tparam K coordinate to set
+ /// @param value value to set
+ template <std::size_t K>
+ inline void set(CoordinateType const& value)
+ {
+ BOOST_STATIC_ASSERT(K < DimensionCount);
+ m_values[K] = value;
+ }
+
+private:
+
+ CoordinateType m_values[DimensionCount];
+};
+
+
+} // namespace model
+
+// Adapt the point to the concept
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem
+>
+struct tag<model::point<CoordinateType, DimensionCount, CoordinateSystem> >
+{
+ typedef point_tag type;
+};
+
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem
+>
+struct coordinate_type<model::point<CoordinateType, DimensionCount, CoordinateSystem> >
+{
+ typedef CoordinateType type;
+};
+
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem
+>
+struct coordinate_system<model::point<CoordinateType, DimensionCount, CoordinateSystem> >
+{
+ typedef CoordinateSystem type;
+};
+
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem
+>
+struct dimension<model::point<CoordinateType, DimensionCount, CoordinateSystem> >
+ : boost::mpl::int_<DimensionCount>
+{};
+
+template
+<
+ typename CoordinateType,
+ std::size_t DimensionCount,
+ typename CoordinateSystem,
+ std::size_t Dimension
+>
+struct access<model::point<CoordinateType, DimensionCount, CoordinateSystem>, Dimension>
+{
+ static inline CoordinateType get(
+ model::point<CoordinateType, DimensionCount, CoordinateSystem> const& p)
+ {
+ return p.template get<Dimension>();
+ }
+
+ static inline void set(
+ model::point<CoordinateType, DimensionCount, CoordinateSystem>& p,
+ CoordinateType const& value)
+ {
+ p.template set<Dimension>(value);
+ }
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_POINT_HPP
diff --git a/boost/geometry/geometries/point_xy.hpp b/boost/geometry/geometries/point_xy.hpp
new file mode 100644
index 0000000000..652930666f
--- /dev/null
+++ b/boost/geometry/geometries/point_xy.hpp
@@ -0,0 +1,128 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_POINT_XY_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_POINT_XY_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/int.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/geometries/point.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace model { namespace d2
+{
+
+/*!
+\brief 2D point in Cartesian coordinate system
+\tparam CoordinateType numeric type, for example, double, float, int
+\tparam CoordinateSystem coordinate system, defaults to cs::cartesian
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_point Point Concept]
+}
+
+\qbk{[include reference/geometries/point_assign_warning.qbk]}
+
+*/
+template<typename CoordinateType, typename CoordinateSystem = cs::cartesian>
+class point_xy : public model::point<CoordinateType, 2, CoordinateSystem>
+{
+public:
+
+ /// Default constructor, does not initialize anything
+ inline point_xy()
+ : model::point<CoordinateType, 2, CoordinateSystem>()
+ {}
+
+ /// Constructor with x/y values
+ inline point_xy(CoordinateType const& x, CoordinateType const& y)
+ : model::point<CoordinateType, 2, CoordinateSystem>(x, y)
+ {}
+
+ /// Get x-value
+ inline CoordinateType const& x() const
+ { return this->template get<0>(); }
+
+ /// Get y-value
+ inline CoordinateType const& y() const
+ { return this->template get<1>(); }
+
+ /// Set x-value
+ inline void x(CoordinateType const& v)
+ { this->template set<0>(v); }
+
+ /// Set y-value
+ inline void y(CoordinateType const& v)
+ { this->template set<1>(v); }
+};
+
+
+}} // namespace model::d2
+
+
+// Adapt the point_xy to the concept
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template <typename CoordinateType, typename CoordinateSystem>
+struct tag<model::d2::point_xy<CoordinateType, CoordinateSystem> >
+{
+ typedef point_tag type;
+};
+
+template<typename CoordinateType, typename CoordinateSystem>
+struct coordinate_type<model::d2::point_xy<CoordinateType, CoordinateSystem> >
+{
+ typedef CoordinateType type;
+};
+
+template<typename CoordinateType, typename CoordinateSystem>
+struct coordinate_system<model::d2::point_xy<CoordinateType, CoordinateSystem> >
+{
+ typedef CoordinateSystem type;
+};
+
+template<typename CoordinateType, typename CoordinateSystem>
+struct dimension<model::d2::point_xy<CoordinateType, CoordinateSystem> >
+ : boost::mpl::int_<2>
+{};
+
+template<typename CoordinateType, typename CoordinateSystem, std::size_t Dimension>
+struct access<model::d2::point_xy<CoordinateType, CoordinateSystem>, Dimension >
+{
+ static inline CoordinateType get(
+ model::d2::point_xy<CoordinateType, CoordinateSystem> const& p)
+ {
+ return p.template get<Dimension>();
+ }
+
+ static inline void set(model::d2::point_xy<CoordinateType, CoordinateSystem>& p,
+ CoordinateType const& value)
+ {
+ p.template set<Dimension>(value);
+ }
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_POINT_XY_HPP
diff --git a/boost/geometry/geometries/polygon.hpp b/boost/geometry/geometries/polygon.hpp
new file mode 100644
index 0000000000..ec8d1ec38f
--- /dev/null
+++ b/boost/geometry/geometries/polygon.hpp
@@ -0,0 +1,319 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_POLYGON_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_POLYGON_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/assert.hpp>
+
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/ring.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+/*!
+\brief The polygon contains an outer ring and zero or more inner rings.
+\ingroup geometries
+\tparam Point point type
+\tparam ClockWise true for clockwise direction,
+ false for CounterClockWise direction
+\tparam Closed true for closed polygons (last point == first point),
+ false open points
+\tparam PointList container type for points,
+ for example std::vector, std::list, std::deque
+\tparam RingList container type for inner rings,
+ for example std::vector, std::list, std::deque
+\tparam PointAlloc container-allocator-type, for the points
+\tparam RingAlloc container-allocator-type, for the rings
+\note The container collecting the points in the rings can be different
+ from the container collecting the inner rings. They all default to vector.
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_polygon Polygon Concept]
+}
+
+
+*/
+template
+<
+ typename Point,
+ bool ClockWise = true,
+ bool Closed = true,
+ template<typename, typename> class PointList = std::vector,
+ template<typename, typename> class RingList = std::vector,
+ template<typename> class PointAlloc = std::allocator,
+ template<typename> class RingAlloc = std::allocator
+>
+class polygon
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+public:
+
+ // Member types
+ typedef Point point_type;
+ typedef ring<Point, ClockWise, Closed, PointList, PointAlloc> ring_type;
+ typedef RingList<ring_type , RingAlloc<ring_type > > inner_container_type;
+
+ inline ring_type const& outer() const { return m_outer; }
+ inline inner_container_type const& inners() const { return m_inners; }
+
+ inline ring_type& outer() { return m_outer; }
+ inline inner_container_type & inners() { return m_inners; }
+
+ /// Utility method, clears outer and inner rings
+ inline void clear()
+ {
+ m_outer.clear();
+ m_inners.clear();
+ }
+
+private:
+
+ ring_type m_outer;
+ inner_container_type m_inners;
+};
+
+
+} // namespace model
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct tag
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList, PointAlloc, RingAlloc
+ >
+>
+{
+ typedef polygon_tag type;
+};
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct ring_const_type
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList, PointAlloc, RingAlloc
+ >
+>
+{
+ typedef typename model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >::ring_type const& type;
+};
+
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct ring_mutable_type
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList, PointAlloc, RingAlloc
+ >
+>
+{
+ typedef typename model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >::ring_type& type;
+};
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct interior_const_type
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >
+>
+{
+ typedef typename model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >::inner_container_type const& type;
+};
+
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct interior_mutable_type
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >
+>
+{
+ typedef typename model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >::inner_container_type& type;
+};
+
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct exterior_ring
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList, PointAlloc, RingAlloc
+ >
+>
+{
+ typedef model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ > polygon_type;
+
+ static inline typename polygon_type::ring_type& get(polygon_type& p)
+ {
+ return p.outer();
+ }
+
+ static inline typename polygon_type::ring_type const& get(
+ polygon_type const& p)
+ {
+ return p.outer();
+ }
+};
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class PointList,
+ template<typename, typename> class RingList,
+ template<typename> class PointAlloc,
+ template<typename> class RingAlloc
+>
+struct interior_rings
+<
+ model::polygon
+ <
+ Point, ClockWise, Closed,
+ PointList, RingList,
+ PointAlloc, RingAlloc
+ >
+>
+{
+ typedef model::polygon
+ <
+ Point, ClockWise, Closed, PointList, RingList,
+ PointAlloc, RingAlloc
+ > polygon_type;
+
+ static inline typename polygon_type::inner_container_type& get(
+ polygon_type& p)
+ {
+ return p.inners();
+ }
+
+ static inline typename polygon_type::inner_container_type const& get(
+ polygon_type const& p)
+ {
+ return p.inners();
+ }
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_POLYGON_HPP
diff --git a/boost/geometry/geometries/register/box.hpp b/boost/geometry/geometries/register/box.hpp
new file mode 100644
index 0000000000..838c2bb5fc
--- /dev/null
+++ b/boost/geometry/geometries/register/box.hpp
@@ -0,0 +1,179 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_REGISTER_BOX_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_REGISTER_BOX_HPP
+
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS(Box, Point, MinCorner, MaxCorner) \
+template <size_t D> \
+struct indexed_access<Box, min_corner, D> \
+{ \
+ typedef typename coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) \
+ { return geometry::get<D>(b. MinCorner); } \
+ static inline void set(Box& b, ct const& value) \
+ { geometry::set<D>(b. MinCorner, value); } \
+}; \
+template <size_t D> \
+struct indexed_access<Box, max_corner, D> \
+{ \
+ typedef typename coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) \
+ { return geometry::get<D>(b. MaxCorner); } \
+ static inline void set(Box& b, ct const& value) \
+ { geometry::set<D>(b. MaxCorner, value); } \
+};
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS_TEMPLATED(Box, MinCorner, MaxCorner) \
+template <typename P, size_t D> \
+struct indexed_access<Box<P>, min_corner, D> \
+{ \
+ typedef typename coordinate_type<P>::type ct; \
+ static inline ct get(Box<P> const& b) \
+ { return geometry::get<D>(b. MinCorner); } \
+ static inline void set(Box<P>& b, ct const& value) \
+ { geometry::set<D>(b. MinCorner, value); } \
+}; \
+template <typename P, size_t D> \
+struct indexed_access<Box<P>, max_corner, D> \
+{ \
+ typedef typename coordinate_type<P>::type ct; \
+ static inline ct get(Box<P> const& b) \
+ { return geometry::get<D>(b. MaxCorner); } \
+ static inline void set(Box<P>& b, ct const& value) \
+ { geometry::set<D>(b. MaxCorner, value); } \
+};
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS_4VALUES(Box, Point, Left, Bottom, Right, Top) \
+template <> struct indexed_access<Box, min_corner, 0> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) { return b. Left; } \
+ static inline void set(Box& b, ct const& value) { b. Left = value; } \
+}; \
+template <> struct indexed_access<Box, min_corner, 1> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) { return b. Bottom; } \
+ static inline void set(Box& b, ct const& value) { b. Bottom = value; } \
+}; \
+template <> struct indexed_access<Box, max_corner, 0> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) { return b. Right; } \
+ static inline void set(Box& b, ct const& value) { b. Right = value; } \
+}; \
+template <> struct indexed_access<Box, max_corner, 1> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Box const& b) { return b. Top; } \
+ static inline void set(Box& b, ct const& value) { b. Top = value; } \
+};
+
+
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_TRAITS(Box, PointType) \
+ template<> struct tag<Box > { typedef box_tag type; }; \
+ template<> struct point_type<Box > { typedef PointType type; };
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_TRAITS_TEMPLATED(Box) \
+ template<typename P> struct tag<Box<P> > { typedef box_tag type; }; \
+ template<typename P> struct point_type<Box<P> > { typedef P type; };
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+
+/*!
+\brief \brief_macro{box}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_BOX, box} The
+ box may contain template parameters, which must be specified then.
+\param Box \param_macro_type{Box}
+\param Point Point type on which box is based. Might be two or three-dimensional
+\param MinCorner minimum corner (should be public member or method)
+\param MaxCorner maximum corner (should be public member or method)
+
+\qbk{
+[heading Example]
+[register_box]
+[register_box_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_BOX(Box, Point, MinCorner, MaxCorner) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_TRAITS(Box, Point) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS(Box, Point, MinCorner, MaxCorner) \
+}}}
+
+
+/*!
+\brief \brief_macro{box}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_BOX_TEMPLATED, box}
+ \details_macro_templated{box, point}
+\param Box \param_macro_type{Box}
+\param MinCorner minimum corner (should be public member or method)
+\param MaxCorner maximum corner (should be public member or method)
+
+\qbk{
+[heading Example]
+[register_box_templated]
+[register_box_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_BOX_TEMPLATED(Box, MinCorner, MaxCorner) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_TRAITS_TEMPLATED(Box) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS_TEMPLATED(Box, MinCorner, MaxCorner) \
+}}}
+
+/*!
+\brief \brief_macro{box}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_BOX_2D_4VALUES, box}
+\param Box \param_macro_type{Box}
+\param Point Point type reported as point_type by box. Must be two dimensional.
+ Note that these box tyeps do not contain points, but they must have a
+ related point_type
+\param Left Left side (must be public member or method)
+\param Bottom Bottom side (must be public member or method)
+\param Right Right side (must be public member or method)
+\param Top Top side (must be public member or method)
+
+\qbk{
+[heading Example]
+[register_box_2d_4values]
+[register_box_2d_4values_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_BOX_2D_4VALUES(Box, Point, Left, Bottom, Right, Top) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_TRAITS(Box, Point) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_BOX_ACCESS_4VALUES(Box, Point, Left, Bottom, Right, Top) \
+}}}
+
+
+
+// CONST versions are for boxes probably not that common. Postponed.
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_REGISTER_BOX_HPP
diff --git a/boost/geometry/geometries/register/linestring.hpp b/boost/geometry/geometries/register/linestring.hpp
new file mode 100644
index 0000000000..b064398746
--- /dev/null
+++ b/boost/geometry/geometries/register/linestring.hpp
@@ -0,0 +1,60 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_REGISTER_LINESTRING_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_REGISTER_LINESTRING_HPP
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+/*!
+\brief \brief_macro{linestring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_LINESTRING, linestring} The
+ linestring may contain template parameters, which must be specified then.
+\param Linestring \param_macro_type{linestring}
+
+\qbk{
+[heading Example]
+[register_linestring]
+[register_linestring_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_LINESTRING(Linestring) \
+namespace boost { namespace geometry { namespace traits { \
+ template<> struct tag<Linestring> { typedef linestring_tag type; }; \
+}}}
+
+
+/*!
+\brief \brief_macro{templated linestring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_LINESTRING_TEMPLATED, templated linestring}
+ \details_macro_templated{linestring, point}
+\param Linestring \param_macro_type{linestring (without template parameters)}
+
+\qbk{
+[heading Example]
+[register_linestring_templated]
+[register_linestring_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_LINESTRING_TEMPLATED(Linestring) \
+namespace boost { namespace geometry { namespace traits { \
+ template<typename P> struct tag< Linestring<P> > { typedef linestring_tag type; }; \
+}}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_REGISTER_LINESTRING_HPP
diff --git a/boost/geometry/geometries/register/point.hpp b/boost/geometry/geometries/register/point.hpp
new file mode 100644
index 0000000000..676582576f
--- /dev/null
+++ b/boost/geometry/geometries/register/point.hpp
@@ -0,0 +1,173 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_REGISTER_POINT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_REGISTER_POINT_HPP
+
+
+#include <cstddef>
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+// Starting point, specialize basic traits necessary to register a point
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, Dim, CoordinateType, CoordinateSystem) \
+ template<> struct tag<Point> { typedef point_tag type; }; \
+ template<> struct dimension<Point> : boost::mpl::int_<Dim> {}; \
+ template<> struct coordinate_type<Point> { typedef CoordinateType type; }; \
+ template<> struct coordinate_system<Point> { typedef CoordinateSystem type; };
+
+// Specialize access class per dimension
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, Dim, CoordinateType, Get, Set) \
+ template<> struct access<Point, Dim> \
+ { \
+ static inline CoordinateType get(Point const& p) { return p. Get; } \
+ static inline void set(Point& p, CoordinateType const& value) { p. Set = value; } \
+ };
+
+// Const version
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, Dim, CoordinateType, Get) \
+ template<> struct access<Point, Dim> \
+ { \
+ static inline CoordinateType get(Point const& p) { return p. Get; } \
+ };
+
+
+// Getter/setter version
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, Dim, CoordinateType, Get, Set) \
+ template<> struct access<Point, Dim> \
+ { \
+ static inline CoordinateType get(Point const& p) \
+ { return p. Get (); } \
+ static inline void set(Point& p, CoordinateType const& value) \
+ { p. Set ( value ); } \
+ };
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+/*!
+\brief \brief_macro{2D point type}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_2D, two-dimensional point type}
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Field0 \param_macro_member{\macro_x}
+\param Field1 \param_macro_member{\macro_y}
+
+\qbk{[include reference/geometries/register/point.qbk]}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_2D(Point, CoordinateType, CoordinateSystem, Field0, Field1) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 2, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, 0, CoordinateType, Field0, Field0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, 1, CoordinateType, Field1, Field1) \
+}}}
+
+/*!
+\brief \brief_macro{3D point type}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_3D, three-dimensional point type}
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Field0 \param_macro_member{\macro_x}
+\param Field1 \param_macro_member{\macro_y}
+\param Field2 \param_macro_member{\macro_z}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_3D(Point, CoordinateType, CoordinateSystem, Field0, Field1, Field2) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 3, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, 0, CoordinateType, Field0, Field0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, 1, CoordinateType, Field1, Field1) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS(Point, 2, CoordinateType, Field2, Field2) \
+}}}
+
+/*!
+\brief \brief_macro{2D point type} \brief_macro_const
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_2D_CONST, two-dimensional point type}. \details_macro_const
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Field0 \param_macro_member{\macro_x}
+\param Field1 \param_macro_member{\macro_y}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_2D_CONST(Point, CoordinateType, CoordinateSystem, Field0, Field1) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 2, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, 0, CoordinateType, Field0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, 1, CoordinateType, Field1) \
+}}}
+
+/*!
+\brief \brief_macro{3D point type} \brief_macro_const
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_3D_CONST, three-dimensional point type}. \details_macro_const
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Field0 \param_macro_member{\macro_x}
+\param Field1 \param_macro_member{\macro_y}
+\param Field2 \param_macro_member{\macro_z}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_3D_CONST(Point, CoordinateType, CoordinateSystem, Field0, Field1, Field2) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 3, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, 0, CoordinateType, Field0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, 1, CoordinateType, Field1) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_CONST(Point, 2, CoordinateType, Field2) \
+}}}
+
+/*!
+\brief \brief_macro{2D point type} \brief_macro_getset
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_2D_GET_SET, two-dimensional point type}. \details_macro_getset
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Get0 \param_macro_getset{get, \macro_x}
+\param Get1 \param_macro_getset{get, \macro_y}
+\param Set0 \param_macro_getset{set, \macro_x}
+\param Set1 \param_macro_getset{set, \macro_y}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_2D_GET_SET(Point, CoordinateType, CoordinateSystem, Get0, Get1, Set0, Set1) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 2, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, 0, CoordinateType, Get0, Set0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, 1, CoordinateType, Get1, Set1) \
+}}}
+
+/*!
+\brief \brief_macro{3D point type} \brief_macro_getset
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_POINT_3D_GET_SET, three-dimensional point type}. \details_macro_getset
+\param Point \param_macro_type{Point}
+\param CoordinateType \param_macro_coortype{point}
+\param CoordinateSystem \param_macro_coorsystem
+\param Get0 \param_macro_getset{get, \macro_x}
+\param Get1 \param_macro_getset{get, \macro_y}
+\param Get2 \param_macro_getset{get, \macro_z}
+\param Set0 \param_macro_getset{set, \macro_x}
+\param Set1 \param_macro_getset{set, \macro_y}
+\param Set2 \param_macro_getset{set, \macro_z}
+*/
+#define BOOST_GEOMETRY_REGISTER_POINT_3D_GET_SET(Point, CoordinateType, CoordinateSystem, Get0, Get1, Get2, Set0, Set1, Set2) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_TRAITS(Point, 3, CoordinateType, CoordinateSystem) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, 0, CoordinateType, Get0, Set0) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, 1, CoordinateType, Get1, Set1) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_POINT_ACCESS_GET_SET(Point, 2, CoordinateType, Get2, Set2) \
+}}}
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_REGISTER_POINT_HPP
diff --git a/boost/geometry/geometries/register/ring.hpp b/boost/geometry/geometries/register/ring.hpp
new file mode 100644
index 0000000000..fb6cb67200
--- /dev/null
+++ b/boost/geometry/geometries/register/ring.hpp
@@ -0,0 +1,60 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_REGISTER_RING_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_REGISTER_RING_HPP
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+/*!
+\brief \brief_macro{ring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_RING, ring} The
+ ring may contain template parameters, which must be specified then.
+\param Ring \param_macro_type{ring}
+
+\qbk{
+[heading Example]
+[register_ring]
+[register_ring_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_RING(Ring) \
+namespace boost { namespace geometry { namespace traits { \
+ template<> struct tag<Ring> { typedef ring_tag type; }; \
+}}}
+
+
+/*!
+\brief \brief_macro{templated ring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_RING_TEMPLATED, templated ring}
+ \details_macro_templated{ring, point}
+\param Ring \param_macro_type{ring (without template parameters)}
+
+\qbk{
+[heading Example]
+[register_ring_templated]
+[register_ring_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_RING_TEMPLATED(Ring) \
+namespace boost { namespace geometry { namespace traits { \
+ template<typename P> struct tag< Ring<P> > { typedef ring_tag type; }; \
+}}}
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_REGISTER_RING_HPP
diff --git a/boost/geometry/geometries/register/segment.hpp b/boost/geometry/geometries/register/segment.hpp
new file mode 100644
index 0000000000..6ea88c0918
--- /dev/null
+++ b/boost/geometry/geometries/register/segment.hpp
@@ -0,0 +1,129 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_REGISTER_SEGMENT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_REGISTER_SEGMENT_HPP
+
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS(Segment, Point, Index0, Index1) \
+template <size_t D> \
+struct indexed_access<Segment, min_corner, D> \
+{ \
+ typedef typename coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) \
+ { return geometry::get<D>(b. Index0); } \
+ static inline void set(Segment& b, ct const& value) \
+ { geometry::set<D>(b. Index0, value); } \
+}; \
+template <size_t D> \
+struct indexed_access<Segment, max_corner, D> \
+{ \
+ typedef typename coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) \
+ { return geometry::get<D>(b. Index1); } \
+ static inline void set(Segment& b, ct const& value) \
+ { geometry::set<D>(b. Index1, value); } \
+};
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS_TEMPLATIZED(Segment, Index0, Index1) \
+template <typename P, size_t D> \
+struct indexed_access<Segment<P>, min_corner, D> \
+{ \
+ typedef typename coordinate_type<P>::type ct; \
+ static inline ct get(Segment<P> const& b) \
+ { return geometry::get<D>(b. Index0); } \
+ static inline void set(Segment<P>& b, ct const& value) \
+ { geometry::set<D>(b. Index0, value); } \
+}; \
+template <typename P, size_t D> \
+struct indexed_access<Segment<P>, max_corner, D> \
+{ \
+ typedef typename coordinate_type<P>::type ct; \
+ static inline ct get(Segment<P> const& b) \
+ { return geometry::get<D>(b. Index1); } \
+ static inline void set(Segment<P>& b, ct const& value) \
+ { geometry::set<D>(b. Index1, value); } \
+};
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS_4VALUES(Segment, Point, Left, Bottom, Right, Top) \
+template <> struct indexed_access<Segment, min_corner, 0> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) { return b. Left; } \
+ static inline void set(Segment& b, ct const& value) { b. Left = value; } \
+}; \
+template <> struct indexed_access<Segment, min_corner, 1> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) { return b. Bottom; } \
+ static inline void set(Segment& b, ct const& value) { b. Bottom = value; } \
+}; \
+template <> struct indexed_access<Segment, max_corner, 0> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) { return b. Right; } \
+ static inline void set(Segment& b, ct const& value) { b. Right = value; } \
+}; \
+template <> struct indexed_access<Segment, max_corner, 1> \
+{ \
+ typedef coordinate_type<Point>::type ct; \
+ static inline ct get(Segment const& b) { return b. Top; } \
+ static inline void set(Segment& b, ct const& value) { b. Top = value; } \
+};
+
+
+
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_TRAITS(Segment, PointType) \
+ template<> struct tag<Segment > { typedef segment_tag type; }; \
+ template<> struct point_type<Segment > { typedef PointType type; };
+
+#define BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_TRAITS_TEMPLATIZED(Segment) \
+ template<typename P> struct tag<Segment<P> > { typedef segment_tag type; }; \
+ template<typename P> struct point_type<Segment<P> > { typedef P type; };
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+
+#define BOOST_GEOMETRY_REGISTER_SEGMENT(Segment, PointType, Index0, Index1) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_TRAITS(Segment, PointType) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS(Segment, PointType, Index0, Index1) \
+}}}
+
+
+#define BOOST_GEOMETRY_REGISTER_SEGMENT_TEMPLATIZED(Segment, Index0, Index1) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_TRAITS_TEMPLATIZED(Segment) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS_TEMPLATIZED(Segment, Index0, Index1) \
+}}}
+
+#define BOOST_GEOMETRY_REGISTER_SEGMENT_2D_4VALUES(Segment, PointType, Left, Bottom, Right, Top) \
+namespace boost { namespace geometry { namespace traits { \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_TRAITS(Segment, PointType) \
+ BOOST_GEOMETRY_DETAIL_SPECIALIZE_SEGMENT_ACCESS_4VALUES(Segment, PointType, Left, Bottom, Right, Top) \
+}}}
+
+
+
+// CONST versions are for segments probably not that common. Postponed.
+
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_REGISTER_SEGMENT_HPP
diff --git a/boost/geometry/geometries/ring.hpp b/boost/geometry/geometries/ring.hpp
new file mode 100644
index 0000000000..998619785a
--- /dev/null
+++ b/boost/geometry/geometries/ring.hpp
@@ -0,0 +1,153 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_RING_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_RING_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/assert.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+/*!
+\brief A ring (aka linear ring) is a closed line which should not be selfintersecting
+\ingroup geometries
+\tparam Point point type
+\tparam ClockWise true for clockwise direction,
+ false for CounterClockWise direction
+\tparam Closed true for closed polygons (last point == first point),
+ false open points
+\tparam Container container type, for example std::vector, std::deque
+\tparam Allocator container-allocator-type
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_ring Ring Concept]
+}
+*/
+template
+<
+ typename Point,
+ bool ClockWise = true, bool Closed = true,
+ template<typename, typename> class Container = std::vector,
+ template<typename> class Allocator = std::allocator
+>
+class ring : public Container<Point, Allocator<Point> >
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ typedef Container<Point, Allocator<Point> > base_type;
+
+public :
+ /// \constructor_default{ring}
+ inline ring()
+ : base_type()
+ {}
+
+ /// \constructor_begin_end{ring}
+ template <typename Iterator>
+ inline ring(Iterator begin, Iterator end)
+ : base_type(begin, end)
+ {}
+};
+
+} // namespace model
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename Point,
+ bool ClockWise, bool Closed,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct tag<model::ring<Point, ClockWise, Closed, Container, Allocator> >
+{
+ typedef ring_tag type;
+};
+
+
+template
+<
+ typename Point,
+ bool Closed,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct point_order<model::ring<Point, false, Closed, Container, Allocator> >
+{
+ static const order_selector value = counterclockwise;
+};
+
+
+template
+<
+ typename Point,
+ bool Closed,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct point_order<model::ring<Point, true, Closed, Container, Allocator> >
+{
+ static const order_selector value = clockwise;
+};
+
+template
+<
+ typename Point,
+ bool PointOrder,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct closure<model::ring<Point, PointOrder, true, Container, Allocator> >
+{
+ static const closure_selector value = closed;
+};
+
+template
+<
+ typename Point,
+ bool PointOrder,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct closure<model::ring<Point, PointOrder, false, Container, Allocator> >
+{
+ static const closure_selector value = open;
+};
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_RING_HPP
diff --git a/boost/geometry/geometries/segment.hpp b/boost/geometry/geometries/segment.hpp
new file mode 100644
index 0000000000..3f47f79ec4
--- /dev/null
+++ b/boost/geometry/geometries/segment.hpp
@@ -0,0 +1,203 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRIES_SEGMENT_HPP
+#define BOOST_GEOMETRY_GEOMETRIES_SEGMENT_HPP
+
+#include <cstddef>
+
+#include <boost/concept/assert.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits/is_const.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+/*!
+\brief Class segment: small class containing two points
+\ingroup geometries
+\details From Wikipedia: In geometry, a line segment is a part of a line that is bounded
+ by two distinct end points, and contains every point on the line between its end points.
+\note There is also a point-referring-segment, class referring_segment,
+ containing point references, where points are NOT copied
+*/
+template<typename Point>
+class segment : public std::pair<Point, Point>
+{
+public :
+ inline segment()
+ {}
+
+ inline segment(Point const& p1, Point const& p2)
+ {
+ this->first = p1;
+ this->second = p2;
+ }
+};
+
+
+/*!
+\brief Class segment: small class containing two (templatized) point references
+\ingroup geometries
+\details From Wikipedia: In geometry, a line segment is a part of a line that is bounded
+ by two distinct end points, and contains every point on the line between its end points.
+\note The structure is like std::pair, and can often be used interchangeable.
+Difference is that it refers to points, does not have points.
+\note Like std::pair, points are public available.
+\note type is const or non const, so geometry::segment<P> or geometry::segment<P const>
+\note We cannot derive from std::pair<P&, P&> because of
+reference assignments.
+\tparam ConstOrNonConstPoint point type of the segment, maybe a point or a const point
+*/
+template<typename ConstOrNonConstPoint>
+class referring_segment
+{
+ BOOST_CONCEPT_ASSERT( (
+ typename boost::mpl::if_
+ <
+ boost::is_const<ConstOrNonConstPoint>,
+ concept::Point<ConstOrNonConstPoint>,
+ concept::ConstPoint<ConstOrNonConstPoint>
+ >
+ ) );
+
+ typedef ConstOrNonConstPoint point_type;
+
+public:
+
+ point_type& first;
+ point_type& second;
+
+ inline referring_segment(point_type& p1, point_type& p2)
+ : first(p1)
+ , second(p2)
+ {}
+};
+
+
+} // namespace model
+
+
+// Traits specializations for segment above
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template <typename Point>
+struct tag<model::segment<Point> >
+{
+ typedef segment_tag type;
+};
+
+template <typename Point>
+struct point_type<model::segment<Point> >
+{
+ typedef Point type;
+};
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<model::segment<Point>, 0, Dimension>
+{
+ typedef model::segment<Point> segment_type;
+ typedef typename geometry::coordinate_type<segment_type>::type coordinate_type;
+
+ static inline coordinate_type get(segment_type const& s)
+ {
+ return geometry::get<Dimension>(s.first);
+ }
+
+ static inline void set(segment_type& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.first, value);
+ }
+};
+
+
+template <typename Point, std::size_t Dimension>
+struct indexed_access<model::segment<Point>, 1, Dimension>
+{
+ typedef model::segment<Point> segment_type;
+ typedef typename geometry::coordinate_type<segment_type>::type coordinate_type;
+
+ static inline coordinate_type get(segment_type const& s)
+ {
+ return geometry::get<Dimension>(s.second);
+ }
+
+ static inline void set(segment_type& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.second, value);
+ }
+};
+
+
+template <typename ConstOrNonConstPoint>
+struct tag<model::referring_segment<ConstOrNonConstPoint> >
+{
+ typedef segment_tag type;
+};
+
+template <typename ConstOrNonConstPoint>
+struct point_type<model::referring_segment<ConstOrNonConstPoint> >
+{
+ typedef ConstOrNonConstPoint type;
+};
+
+template <typename ConstOrNonConstPoint, std::size_t Dimension>
+struct indexed_access<model::referring_segment<ConstOrNonConstPoint>, 0, Dimension>
+{
+ typedef model::referring_segment<ConstOrNonConstPoint> segment_type;
+ typedef typename geometry::coordinate_type<segment_type>::type coordinate_type;
+
+ static inline coordinate_type get(segment_type const& s)
+ {
+ return geometry::get<Dimension>(s.first);
+ }
+
+ static inline void set(segment_type& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.first, value);
+ }
+};
+
+
+template <typename ConstOrNonConstPoint, std::size_t Dimension>
+struct indexed_access<model::referring_segment<ConstOrNonConstPoint>, 1, Dimension>
+{
+ typedef model::referring_segment<ConstOrNonConstPoint> segment_type;
+ typedef typename geometry::coordinate_type<segment_type>::type coordinate_type;
+
+ static inline coordinate_type get(segment_type const& s)
+ {
+ return geometry::get<Dimension>(s.second);
+ }
+
+ static inline void set(segment_type& s, coordinate_type const& value)
+ {
+ geometry::set<Dimension>(s.second, value);
+ }
+};
+
+
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRIES_SEGMENT_HPP
diff --git a/boost/geometry/geometry.hpp b/boost/geometry/geometry.hpp
new file mode 100644
index 0000000000..22d08e2a45
--- /dev/null
+++ b/boost/geometry/geometry.hpp
@@ -0,0 +1,90 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_GEOMETRY_HPP
+#define BOOST_GEOMETRY_GEOMETRY_HPP
+
+// Shortcut to include all header files
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+// Core algorithms
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/core/topological_dimension.hpp>
+
+
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/arithmetic/dot_product.hpp>
+
+#include <boost/geometry/strategies/strategies.hpp>
+
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/buffer.hpp>
+#include <boost/geometry/algorithms/centroid.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/comparable_distance.hpp>
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/algorithms/convex_hull.hpp>
+#include <boost/geometry/algorithms/correct.hpp>
+#include <boost/geometry/algorithms/covered_by.hpp>
+#include <boost/geometry/algorithms/difference.hpp>
+#include <boost/geometry/algorithms/disjoint.hpp>
+#include <boost/geometry/algorithms/distance.hpp>
+#include <boost/geometry/algorithms/envelope.hpp>
+#include <boost/geometry/algorithms/equals.hpp>
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/algorithms/for_each.hpp>
+#include <boost/geometry/algorithms/intersection.hpp>
+#include <boost/geometry/algorithms/intersects.hpp>
+#include <boost/geometry/algorithms/length.hpp>
+#include <boost/geometry/algorithms/make.hpp>
+#include <boost/geometry/algorithms/num_geometries.hpp>
+#include <boost/geometry/algorithms/num_interior_rings.hpp>
+#include <boost/geometry/algorithms/num_points.hpp>
+#include <boost/geometry/algorithms/overlaps.hpp>
+#include <boost/geometry/algorithms/perimeter.hpp>
+#include <boost/geometry/algorithms/reverse.hpp>
+#include <boost/geometry/algorithms/simplify.hpp>
+#include <boost/geometry/algorithms/sym_difference.hpp>
+#include <boost/geometry/algorithms/transform.hpp>
+#include <boost/geometry/algorithms/union.hpp>
+#include <boost/geometry/algorithms/unique.hpp>
+#include <boost/geometry/algorithms/within.hpp>
+
+// Include multi a.o. because it can give weird effects
+// if you don't (e.g. area=0 of a multipolygon)
+#include <boost/geometry/multi/multi.hpp>
+
+// check includes all concepts
+#include <boost/geometry/geometries/concepts/check.hpp>
+
+#include <boost/geometry/util/for_each_coordinate.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/io/dsv/write.hpp>
+
+#include <boost/geometry/views/box_view.hpp>
+#include <boost/geometry/views/segment_view.hpp>
+
+#include <boost/geometry/io/io.hpp>
+
+#endif // BOOST_GEOMETRY_GEOMETRY_HPP
diff --git a/boost/geometry/io/dsv/write.hpp b/boost/geometry/io/dsv/write.hpp
new file mode 100644
index 0000000000..62929f8073
--- /dev/null
+++ b/boost/geometry/io/dsv/write.hpp
@@ -0,0 +1,375 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_DSV_WRITE_HPP
+#define BOOST_GEOMETRY_IO_DSV_WRITE_HPP
+
+#include <cstddef>
+#include <ostream>
+#include <string>
+
+#include <boost/concept_check.hpp>
+#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/ring_type.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 dsv
+{
+
+struct dsv_settings
+{
+ std::string coordinate_separator;
+ std::string point_open;
+ std::string point_close;
+ std::string point_separator;
+ std::string list_open;
+ std::string list_close;
+ std::string list_separator;
+
+ dsv_settings(std::string const& sep
+ , std::string const& open
+ , std::string const& close
+ , std::string const& psep
+ , std::string const& lopen
+ , std::string const& lclose
+ , std::string const& lsep
+ )
+ : coordinate_separator(sep)
+ , point_open(open)
+ , point_close(close)
+ , point_separator(psep)
+ , list_open(lopen)
+ , list_close(lclose)
+ , list_separator(lsep)
+ {}
+};
+
+/*!
+\brief Stream coordinate of a point as \ref DSV
+*/
+template <typename Point, std::size_t Dimension, std::size_t Count>
+struct stream_coordinate
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Point const& point,
+ dsv_settings const& settings)
+ {
+ os << (Dimension > 0 ? settings.coordinate_separator : "")
+ << get<Dimension>(point);
+
+ stream_coordinate
+ <
+ Point, Dimension + 1, Count
+ >::apply(os, point, settings);
+ }
+};
+
+template <typename Point, std::size_t Count>
+struct stream_coordinate<Point, Count, Count>
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>&,
+ Point const&,
+ dsv_settings const& )
+ {
+ }
+};
+
+/*!
+\brief Stream indexed coordinate of a box/segment as \ref DSV
+*/
+template
+<
+ typename Geometry,
+ std::size_t Index,
+ std::size_t Dimension,
+ std::size_t Count
+>
+struct stream_indexed
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Geometry const& geometry,
+ dsv_settings const& settings)
+ {
+ os << (Dimension > 0 ? settings.coordinate_separator : "")
+ << get<Index, Dimension>(geometry);
+ stream_indexed
+ <
+ Geometry, Index, Dimension + 1, Count
+ >::apply(os, geometry, settings);
+ }
+};
+
+template <typename Geometry, std::size_t Index, std::size_t Count>
+struct stream_indexed<Geometry, Index, Count, Count>
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>&, Geometry const&,
+ dsv_settings const& )
+ {
+ }
+};
+
+/*!
+\brief Stream points as \ref DSV
+*/
+template <typename Point>
+struct dsv_point
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Point const& p,
+ dsv_settings const& settings)
+ {
+ os << settings.point_open;
+ stream_coordinate<Point, 0, dimension<Point>::type::value>::apply(os, p, settings);
+ os << settings.point_close;
+ }
+};
+
+/*!
+\brief Stream ranges as DSV
+\note policy is used to stream prefix/postfix, enabling derived classes to override this
+*/
+template <typename Range>
+struct dsv_range
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Range const& range,
+ dsv_settings const& settings)
+ {
+ typedef typename boost::range_iterator<Range const>::type iterator_type;
+
+ bool first = true;
+
+ os << settings.list_open;
+
+ for (iterator_type it = boost::begin(range);
+ it != boost::end(range);
+ ++it)
+ {
+ os << (first ? "" : settings.point_separator)
+ << settings.point_open;
+
+ stream_coordinate
+ <
+ point_type, 0, dimension<point_type>::type::value
+ >::apply(os, *it, settings);
+ os << settings.point_close;
+
+ first = false;
+ }
+
+ os << settings.list_close;
+ }
+
+private:
+ typedef typename boost::range_value<Range>::type point_type;
+};
+
+/*!
+\brief Stream sequence of points as DSV-part, e.g. (1 2),(3 4)
+\note Used in polygon, all multi-geometries
+*/
+
+template <typename Polygon>
+struct dsv_poly
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Polygon const& poly,
+ dsv_settings const& settings)
+ {
+ typedef typename ring_type<Polygon>::type ring;
+
+ os << settings.list_open;
+
+ dsv_range<ring>::apply(os, exterior_ring(poly), settings);
+
+ typename interior_return_type<Polygon const>::type rings
+ = interior_rings(poly);
+ for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+ {
+ os << settings.list_separator;
+ dsv_range<ring>::apply(os, *it, settings);
+ }
+ os << settings.list_close;
+ }
+};
+
+template <typename Geometry, std::size_t Index>
+struct dsv_per_index
+{
+ typedef typename point_type<Geometry>::type point_type;
+
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Geometry const& geometry,
+ dsv_settings const& settings)
+ {
+ os << settings.point_open;
+ stream_indexed
+ <
+ Geometry, Index, 0, dimension<Geometry>::type::value
+ >::apply(os, geometry, settings);
+ os << settings.point_close;
+ }
+};
+
+template <typename Geometry>
+struct dsv_indexed
+{
+ typedef typename point_type<Geometry>::type point_type;
+
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Geometry const& geometry,
+ dsv_settings const& settings)
+ {
+ os << settings.list_open;
+ dsv_per_index<Geometry, 0>::apply(os, geometry, settings);
+ os << settings.point_separator;
+ dsv_per_index<Geometry, 1>::apply(os, geometry, settings);
+ os << settings.list_close;
+ }
+};
+
+}} // namespace detail::dsv
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct dsv {};
+
+template <typename Point>
+struct dsv<point_tag, Point>
+ : detail::dsv::dsv_point<Point>
+{};
+
+template <typename Linestring>
+struct dsv<linestring_tag, Linestring>
+ : detail::dsv::dsv_range<Linestring>
+{};
+
+template <typename Box>
+struct dsv<box_tag, Box>
+ : detail::dsv::dsv_indexed<Box>
+{};
+
+template <typename Segment>
+struct dsv<segment_tag, Segment>
+ : detail::dsv::dsv_indexed<Segment>
+{};
+
+template <typename Ring>
+struct dsv<ring_tag, Ring>
+ : detail::dsv::dsv_range<Ring>
+{};
+
+template <typename Polygon>
+struct dsv<polygon_tag, Polygon>
+ : detail::dsv::dsv_poly<Polygon>
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace dsv
+{
+
+// FIXME: This class is not copyable/assignable but it is used as such --mloskot
+template <typename Geometry>
+class dsv_manipulator
+{
+public:
+
+ inline dsv_manipulator(Geometry const& g,
+ dsv_settings const& settings)
+ : m_geometry(g)
+ , m_settings(settings)
+ {}
+
+ template <typename Char, typename Traits>
+ inline friend std::basic_ostream<Char, Traits>& operator<<(
+ std::basic_ostream<Char, Traits>& os,
+ dsv_manipulator const& m)
+ {
+ dispatch::dsv
+ <
+ typename tag_cast
+ <
+ typename tag<Geometry>::type,
+ multi_tag
+ >::type,
+ Geometry
+ >::apply(os, m.m_geometry, m.m_settings);
+ os.flush();
+ return os;
+ }
+
+private:
+ Geometry const& m_geometry;
+ dsv_settings m_settings;
+};
+
+}} // namespace detail::dsv
+#endif // DOXYGEN_NO_DETAIL
+
+/*!
+\brief Main DSV-streaming function
+\details DSV stands for Delimiter Separated Values. Geometries can be streamed
+ as DSV. There are defaults for all separators.
+\note Useful for examples and testing purposes
+\note With this function GeoJSON objects can be created, using the right
+ delimiters
+\ingroup utility
+*/
+template <typename Geometry>
+inline detail::dsv::dsv_manipulator<Geometry> dsv(Geometry const& geometry
+ , std::string const& coordinate_separator = ", "
+ , std::string const& point_open = "("
+ , std::string const& point_close = ")"
+ , std::string const& point_separator = ", "
+ , std::string const& list_open = "("
+ , std::string const& list_close = ")"
+ , std::string const& list_separator = ", "
+ )
+{
+ concept::check<Geometry const>();
+
+ return detail::dsv::dsv_manipulator<Geometry>(geometry,
+ detail::dsv::dsv_settings(coordinate_separator,
+ point_open, point_close, point_separator,
+ list_open, list_close, list_separator));
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_IO_DSV_WRITE_HPP
diff --git a/boost/geometry/io/io.hpp b/boost/geometry/io/io.hpp
new file mode 100644
index 0000000000..9340060776
--- /dev/null
+++ b/boost/geometry/io/io.hpp
@@ -0,0 +1,58 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_HPP
+#define BOOST_GEOMETRY_IO_HPP
+
+#include <boost/geometry/io/wkt/read.hpp>
+#include <boost/geometry/io/wkt/write.hpp>
+
+namespace boost { namespace geometry
+{
+
+struct format_wkt {};
+struct format_wkb {}; // TODO
+struct format_dsv {}; // TODO
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+template <typename Tag, typename Geometry>
+struct read
+{
+};
+
+template <typename Geometry>
+struct read<format_wkt, Geometry>
+{
+ static inline void apply(Geometry& geometry, std::string const& wkt)
+ {
+ read_wkt<typename tag<Geometry>::type, Geometry>::apply(wkt, geometry);
+ }
+};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+template <typename Format, typename Geometry>
+inline void read(Geometry& geometry, std::string const& wkt)
+{
+ geometry::concept::check<Geometry>();
+ dispatch::read<Format, Geometry>::apply(geometry, wkt);
+}
+
+// TODO: wriite
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_IO_HPP
diff --git a/boost/geometry/io/wkt/detail/prefix.hpp b/boost/geometry/io/wkt/detail/prefix.hpp
new file mode 100644
index 0000000000..45e43b88d4
--- /dev/null
+++ b/boost/geometry/io/wkt/detail/prefix.hpp
@@ -0,0 +1,45 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_WKT_DETAIL_PREFIX_HPP
+#define BOOST_GEOMETRY_IO_WKT_DETAIL_PREFIX_HPP
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace wkt
+{
+
+struct prefix_point
+{
+ static inline const char* apply() { return "POINT"; }
+};
+
+struct prefix_polygon
+{
+ static inline const char* apply() { return "POLYGON"; }
+};
+
+struct prefix_linestring
+{
+ static inline const char* apply() { return "LINESTRING"; }
+};
+
+}} // namespace wkt::impl
+#endif
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_IO_WKT_DETAIL_PREFIX_HPP
diff --git a/boost/geometry/io/wkt/detail/wkt_multi.hpp b/boost/geometry/io/wkt/detail/wkt_multi.hpp
new file mode 100644
index 0000000000..0e5abbca81
--- /dev/null
+++ b/boost/geometry/io/wkt/detail/wkt_multi.hpp
@@ -0,0 +1,57 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_DOMAINS_GIS_IO_WKT_DETAIL_WKT_MULTI_HPP
+#define BOOST_GEOMETRY_DOMAINS_GIS_IO_WKT_DETAIL_WKT_MULTI_HPP
+
+
+#include <boost/geometry/domains/gis/io/wkt/write.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace wkt
+{
+
+struct prefix_null
+{
+ static inline const char* apply() { return ""; }
+};
+
+struct prefix_multipoint
+{
+ static inline const char* apply() { return "MULTIPOINT"; }
+};
+
+struct prefix_multilinestring
+{
+ static inline const char* apply() { return "MULTILINESTRING"; }
+};
+
+struct prefix_multipolygon
+{
+ static inline const char* apply() { return "MULTIPOLYGON"; }
+};
+
+
+
+}} // namespace wkt::impl
+#endif
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_DOMAINS_GIS_IO_WKT_DETAIL_WKT_MULTI_HPP
diff --git a/boost/geometry/io/wkt/read.hpp b/boost/geometry/io/wkt/read.hpp
new file mode 100644
index 0000000000..e926939d51
--- /dev/null
+++ b/boost/geometry/io/wkt/read.hpp
@@ -0,0 +1,686 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_WKT_READ_HPP
+#define BOOST_GEOMETRY_IO_WKT_READ_HPP
+
+#include <string>
+
+#include <boost/lexical_cast.hpp>
+#include <boost/tokenizer.hpp>
+
+#include <boost/algorithm/string.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/range.hpp>
+
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/append.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+
+#include <boost/geometry/core/access.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/geometry_id.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/util/coordinate_cast.hpp>
+
+#include <boost/geometry/io/wkt/detail/prefix.hpp>
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Exception showing things wrong with WKT parsing
+\ingroup wkt
+*/
+struct read_wkt_exception : public geometry::exception
+{
+ template <typename Iterator>
+ read_wkt_exception(std::string const& msg,
+ Iterator const& it, Iterator const& end, std::string const& wkt)
+ : message(msg)
+ , wkt(wkt)
+ {
+ if (it != end)
+ {
+ source = " at '";
+ source += it->c_str();
+ source += "'";
+ }
+ complete = message + source + " in '" + wkt.substr(0, 100) + "'";
+ }
+
+ read_wkt_exception(std::string const& msg, std::string const& wkt)
+ : message(msg)
+ , wkt(wkt)
+ {
+ complete = message + "' in (" + wkt.substr(0, 100) + ")";
+ }
+
+ virtual ~read_wkt_exception() throw() {}
+
+ virtual const char* what() const throw()
+ {
+ return complete.c_str();
+ }
+private :
+ std::string source;
+ std::string message;
+ std::string wkt;
+ std::string complete;
+};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+// (wkt: Well Known Text, defined by OGC for all geometries and implemented by e.g. databases (MySQL, PostGIS))
+namespace detail { namespace wkt
+{
+
+typedef boost::tokenizer<boost::char_separator<char> > tokenizer;
+
+template <typename Point, std::size_t Dimension, std::size_t DimensionCount>
+struct parsing_assigner
+{
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ Point& point, std::string const& wkt)
+ {
+ typedef typename coordinate_type<Point>::type coordinate_type;
+
+ // Stop at end of tokens, or at "," ot ")"
+ bool finished = (it == end || *it == "," || *it == ")");
+
+ try
+ {
+ // Initialize missing coordinates to default constructor (zero)
+ // OR
+ // Use lexical_cast for conversion to double/int
+ // Note that it is much slower than atof. However, it is more standard
+ // and in parsing the change in performance falls probably away against
+ // the tokenizing
+ set<Dimension>(point, finished
+ ? coordinate_type()
+ : coordinate_cast<coordinate_type>::apply(*it));
+ }
+ catch(boost::bad_lexical_cast const& blc)
+ {
+ throw read_wkt_exception(blc.what(), it, end, wkt);
+ }
+ catch(std::exception const& e)
+ {
+ throw read_wkt_exception(e.what(), it, end, wkt);
+ }
+ catch(...)
+ {
+ throw read_wkt_exception("", it, end, wkt);
+ }
+
+ parsing_assigner<Point, Dimension + 1, DimensionCount>::apply(
+ (finished ? it : ++it), end, point, wkt);
+ }
+};
+
+template <typename Point, std::size_t DimensionCount>
+struct parsing_assigner<Point, DimensionCount, DimensionCount>
+{
+ static inline void apply(tokenizer::iterator&, tokenizer::iterator, Point&,
+ std::string const&)
+ {
+ }
+};
+
+
+
+template <typename Iterator>
+inline void handle_open_parenthesis(Iterator& it,
+ Iterator const& end, std::string const& wkt)
+{
+ if (it == end || *it != "(")
+ {
+ throw read_wkt_exception("Expected '('", it, end, wkt);
+ }
+ ++it;
+}
+
+
+template <typename Iterator>
+inline void handle_close_parenthesis(Iterator& it,
+ Iterator const& end, std::string const& wkt)
+{
+ if (it != end && *it == ")")
+ {
+ ++it;
+ }
+ else
+ {
+ throw read_wkt_exception("Expected ')'", it, end, wkt);
+ }
+}
+
+template <typename Iterator>
+inline void check_end(Iterator& it,
+ Iterator const& end, std::string const& wkt)
+{
+ if (it != end)
+ {
+ throw read_wkt_exception("Too much tokens", it, end, wkt);
+ }
+}
+
+/*!
+\brief Internal, parses coordinate sequences, strings are formated like "(1 2,3 4,...)"
+\param it token-iterator, should be pre-positioned at "(", is post-positions after last ")"
+\param end end-token-iterator
+\param out Output itererator receiving coordinates
+*/
+template <typename Point>
+struct container_inserter
+{
+ // Version with output iterator
+ template <typename OutputIterator>
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, OutputIterator out)
+ {
+ handle_open_parenthesis(it, end, wkt);
+
+ Point point;
+
+ // Parse points until closing parenthesis
+
+ while (it != end && *it != ")")
+ {
+ parsing_assigner
+ <
+ Point,
+ 0,
+ dimension<Point>::value
+ >::apply(it, end, point, wkt);
+ out = point;
+ ++out;
+ if (it != end && *it == ",")
+ {
+ ++it;
+ }
+ }
+
+ handle_close_parenthesis(it, end, wkt);
+ }
+};
+
+
+// Geometry is a value-type or reference-type
+template <typename Geometry>
+struct container_appender
+{
+ typedef typename geometry::point_type
+ <
+ typename boost::remove_reference<Geometry>::type
+ >::type point_type;
+
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, Geometry out)
+ {
+ handle_open_parenthesis(it, end, wkt);
+
+ point_type point;
+
+ // Parse points until closing parenthesis
+
+ while (it != end && *it != ")")
+ {
+ parsing_assigner
+ <
+ point_type,
+ 0,
+ dimension<point_type>::value
+ >::apply(it, end, point, wkt);
+
+ geometry::append(out, point);
+ if (it != end && *it == ",")
+ {
+ ++it;
+ }
+ }
+
+ handle_close_parenthesis(it, end, wkt);
+ }
+};
+
+/*!
+\brief Internal, parses a point from a string like this "(x y)"
+\note used for parsing points and multi-points
+*/
+template <typename P>
+struct point_parser
+{
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, P& point)
+ {
+ handle_open_parenthesis(it, end, wkt);
+ parsing_assigner<P, 0, dimension<P>::value>::apply(it, end, point, wkt);
+ handle_close_parenthesis(it, end, wkt);
+ }
+};
+
+
+template <typename Geometry>
+struct linestring_parser
+{
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, Geometry& geometry)
+ {
+ container_appender<Geometry&>::apply(it, end, wkt, geometry);
+ }
+};
+
+
+template <typename Ring>
+struct ring_parser
+{
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, Ring& ring)
+ {
+ // A ring should look like polygon((x y,x y,x y...))
+ // So handle the extra opening/closing parentheses
+ // and in between parse using the container-inserter
+ handle_open_parenthesis(it, end, wkt);
+ container_appender<Ring&>::apply(it, end, wkt, ring);
+ handle_close_parenthesis(it, end, wkt);
+ }
+};
+
+
+
+
+/*!
+\brief Internal, parses a polygon from a string like this "((x y,x y),(x y,x y))"
+\note used for parsing polygons and multi-polygons
+*/
+template <typename Polygon>
+struct polygon_parser
+{
+ typedef typename ring_return_type<Polygon>::type ring_return_type;
+ typedef container_appender<ring_return_type> appender;
+
+ static inline void apply(tokenizer::iterator& it, tokenizer::iterator end,
+ std::string const& wkt, Polygon& poly)
+ {
+
+ handle_open_parenthesis(it, end, wkt);
+
+ int n = -1;
+
+ // Stop at ")"
+ while (it != end && *it != ")")
+ {
+ // Parse ring
+ if (++n == 0)
+ {
+ appender::apply(it, end, wkt, exterior_ring(poly));
+ }
+ else
+ {
+ typename ring_type<Polygon>::type ring;
+ appender::apply(it, end, wkt, ring);
+ traits::push_back
+ <
+ typename boost::remove_reference
+ <
+ typename traits::interior_mutable_type<Polygon>::type
+ >::type
+ >::apply(interior_rings(poly), ring);
+ }
+
+ if (it != end && *it == ",")
+ {
+ // Skip "," after ring is parsed
+ ++it;
+ }
+ }
+
+ handle_close_parenthesis(it, end, wkt);
+ }
+};
+
+inline bool one_of(tokenizer::iterator const& it, std::string const& value,
+ bool& is_present)
+{
+ if (boost::iequals(*it, value))
+ {
+ is_present = true;
+ return true;
+ }
+ return false;
+}
+
+inline bool one_of(tokenizer::iterator const& it, std::string const& value,
+ bool& present1, bool& present2)
+{
+ if (boost::iequals(*it, value))
+ {
+ present1 = true;
+ present2 = true;
+ return true;
+ }
+ return false;
+}
+
+
+inline void handle_empty_z_m(tokenizer::iterator& it, tokenizer::iterator end,
+ bool& has_empty, bool& has_z, bool& has_m)
+{
+ has_empty = false;
+ has_z = false;
+ has_m = false;
+
+ // WKT can optionally have Z and M (measured) values as in
+ // POINT ZM (1 1 5 60), POINT M (1 1 80), POINT Z (1 1 5)
+ // GGL supports any of them as coordinate values, but is not aware
+ // of any Measured value.
+ while (it != end
+ && (one_of(it, "M", has_m)
+ || one_of(it, "Z", has_z)
+ || one_of(it, "EMPTY", has_empty)
+ || one_of(it, "MZ", has_m, has_z)
+ || one_of(it, "ZM", has_z, has_m)
+ )
+ )
+ {
+ ++it;
+ }
+}
+
+/*!
+\brief Internal, starts parsing
+\param tokens boost tokens, parsed with separator " " and keeping separator "()"
+\param geometry string to compare with first token
+*/
+template <typename Geometry>
+inline bool initialize(tokenizer const& tokens,
+ std::string const& geometry_name, std::string const& wkt,
+ tokenizer::iterator& it)
+{
+ it = tokens.begin();
+ if (it != tokens.end() && boost::iequals(*it++, geometry_name))
+ {
+ bool has_empty, has_z, has_m;
+
+ handle_empty_z_m(it, tokens.end(), has_empty, has_z, has_m);
+
+ if (has_z && dimension<Geometry>::type::value < 3)
+ {
+ throw read_wkt_exception("Z only allowed for 3 or more dimensions", wkt);
+ }
+ if (has_empty)
+ {
+ check_end(it, tokens.end(), wkt);
+ return false;
+ }
+ // M is ignored at all.
+
+ return true;
+ }
+ throw read_wkt_exception(std::string("Should start with '") + geometry_name + "'", wkt);
+}
+
+
+template <typename Geometry, template<typename> class Parser, typename PrefixPolicy>
+struct geometry_parser
+{
+ static inline void apply(std::string const& wkt, Geometry& geometry)
+ {
+ geometry::clear(geometry);
+
+ tokenizer tokens(wkt, boost::char_separator<char>(" ", ",()"));
+ tokenizer::iterator it;
+ if (initialize<Geometry>(tokens, PrefixPolicy::apply(), wkt, it))
+ {
+ Parser<Geometry>::apply(it, tokens.end(), wkt, geometry);
+ check_end(it, tokens.end(), wkt);
+ }
+ }
+};
+
+
+
+
+
+/*!
+\brief Supports box parsing
+\note OGC does not define the box geometry, and WKT does not support boxes.
+ However, to be generic GGL supports reading and writing from and to boxes.
+ Boxes are outputted as a standard POLYGON. GGL can read boxes from
+ a standard POLYGON, from a POLYGON with 2 points of from a BOX
+\tparam Box the box
+*/
+template <typename Box>
+struct box_parser
+{
+ static inline void apply(std::string const& wkt, Box& box)
+ {
+ bool should_close = false;
+ tokenizer tokens(wkt, boost::char_separator<char>(" ", ",()"));
+ tokenizer::iterator it = tokens.begin();
+ tokenizer::iterator end = tokens.end();
+ if (it != end && boost::iequals(*it, "POLYGON"))
+ {
+ ++it;
+ bool has_empty, has_z, has_m;
+ handle_empty_z_m(it, end, has_empty, has_z, has_m);
+ if (has_empty)
+ {
+ assign_zero(box);
+ return;
+ }
+ handle_open_parenthesis(it, end, wkt);
+ should_close = true;
+ }
+ else if (it != end && boost::iequals(*it, "BOX"))
+ {
+ ++it;
+ }
+ else
+ {
+ throw read_wkt_exception("Should start with 'POLYGON' or 'BOX'", wkt);
+ }
+
+ typedef typename point_type<Box>::type point_type;
+ std::vector<point_type> points;
+ container_inserter<point_type>::apply(it, end, wkt, std::back_inserter(points));
+
+ if (should_close)
+ {
+ handle_close_parenthesis(it, end, wkt);
+ }
+ check_end(it, end, wkt);
+
+ int index = 0;
+ int n = boost::size(points);
+ if (n == 2)
+ {
+ index = 1;
+ }
+ else if (n == 4 || n == 5)
+ {
+ // In case of 4 or 5 points, we do not check the other ones, just
+ // take the opposite corner which is always 2
+ index = 2;
+ }
+ else
+ {
+ throw read_wkt_exception("Box should have 2,4 or 5 points", wkt);
+ }
+
+ geometry::detail::assign_point_to_index<min_corner>(points.front(), box);
+ geometry::detail::assign_point_to_index<max_corner>(points[index], box);
+ }
+};
+
+
+/*!
+\brief Supports segment parsing
+\note OGC does not define the segment, and WKT does not support segmentes.
+ However, it is useful to implement it, also for testing purposes
+\tparam Segment the segment
+*/
+template <typename Segment>
+struct segment_parser
+{
+ static inline void apply(std::string const& wkt, Segment& segment)
+ {
+ tokenizer tokens(wkt, boost::char_separator<char>(" ", ",()"));
+ tokenizer::iterator it = tokens.begin();
+ tokenizer::iterator end = tokens.end();
+ if (it != end &&
+ (boost::iequals(*it, "SEGMENT")
+ || boost::iequals(*it, "LINESTRING") ))
+ {
+ ++it;
+ }
+ else
+ {
+ throw read_wkt_exception("Should start with 'LINESTRING' or 'SEGMENT'", wkt);
+ }
+
+ typedef typename point_type<Segment>::type point_type;
+ std::vector<point_type> points;
+ container_inserter<point_type>::apply(it, end, wkt, std::back_inserter(points));
+
+ check_end(it, end, wkt);
+
+ if (boost::size(points) == 2)
+ {
+ geometry::detail::assign_point_to_index<0>(points.front(), segment);
+ geometry::detail::assign_point_to_index<1>(points.back(), segment);
+ }
+ else
+ {
+ throw read_wkt_exception("Segment should have 2 points", wkt);
+ }
+
+ }
+};
+
+
+
+}} // namespace detail::wkt
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct read_wkt {};
+
+
+template <typename Point>
+struct read_wkt<point_tag, Point>
+ : detail::wkt::geometry_parser
+ <
+ Point,
+ detail::wkt::point_parser,
+ detail::wkt::prefix_point
+ >
+{};
+
+
+template <typename L>
+struct read_wkt<linestring_tag, L>
+ : detail::wkt::geometry_parser
+ <
+ L,
+ detail::wkt::linestring_parser,
+ detail::wkt::prefix_linestring
+ >
+{};
+
+template <typename Ring>
+struct read_wkt<ring_tag, Ring>
+ : detail::wkt::geometry_parser
+ <
+ Ring,
+ detail::wkt::ring_parser,
+ detail::wkt::prefix_polygon
+ >
+{};
+
+template <typename Geometry>
+struct read_wkt<polygon_tag, Geometry>
+ : detail::wkt::geometry_parser
+ <
+ Geometry,
+ detail::wkt::polygon_parser,
+ detail::wkt::prefix_polygon
+ >
+{};
+
+
+// Box (Non-OGC)
+template <typename Box>
+struct read_wkt<box_tag, Box>
+ : detail::wkt::box_parser<Box>
+{};
+
+// Segment (Non-OGC)
+template <typename Segment>
+struct read_wkt<segment_tag, Segment>
+ : detail::wkt::segment_parser<Segment>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+/*!
+\brief Parses OGC Well-Known Text (\ref WKT) into a geometry (any geometry)
+\ingroup wkt
+\param wkt string containing \ref WKT
+\param geometry output geometry
+\par Example:
+\note It is case insensitive and can have the WKT forms "point", "point m", "point z", "point zm", "point mz"
+\note Empty sequences can have forms as "LINESTRING ()" or "POLYGON(())"
+Small example showing how to use read_wkt to build a point
+\dontinclude doxygen_1.cpp
+\skip example_from_wkt_point
+\line {
+\until }
+\par Example:
+Small example showing how to use read_wkt to build a linestring
+\dontinclude doxygen_1.cpp
+\skip example_from_wkt_linestring
+\line {
+\until }
+\par Example:
+Small example showing how to use read_wkt to build a polygon
+\dontinclude doxygen_1.cpp
+\skip example_from_wkt_polygon
+\line {
+\until }
+*/
+template <typename Geometry>
+inline void read_wkt(std::string const& wkt, Geometry& geometry)
+{
+ geometry::concept::check<Geometry>();
+ dispatch::read_wkt<typename tag<Geometry>::type, Geometry>::apply(wkt, geometry);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_IO_WKT_READ_HPP
diff --git a/boost/geometry/io/wkt/stream.hpp b/boost/geometry/io/wkt/stream.hpp
new file mode 100644
index 0000000000..86e49fdaf1
--- /dev/null
+++ b/boost/geometry/io/wkt/stream.hpp
@@ -0,0 +1,40 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_WKT_STREAM_HPP
+#define BOOST_GEOMETRY_IO_WKT_STREAM_HPP
+
+#include <boost/geometry/io/wkt/write.hpp>
+
+// This short file contains only one manipulator, streaming as WKT
+// Don't include this in any standard-included header file.
+
+// Don't use namespace boost::geometry, to enable the library to stream custom
+// geometries which are living outside the namespace boost::geometry
+
+/*!
+\brief Streams a geometry as Well-Known Text
+\ingroup wkt
+*/
+template<typename Char, typename Traits, typename Geometry>
+inline std::basic_ostream<Char, Traits>& operator<<
+ (
+ std::basic_ostream<Char, Traits> &os,
+ Geometry const& geom
+ )
+{
+ os << boost::geometry::wkt(geom);
+ return os;
+}
+
+#endif // BOOST_GEOMETRY_IO_WKT_STREAM_HPP
diff --git a/boost/geometry/io/wkt/wkt.hpp b/boost/geometry/io/wkt/wkt.hpp
new file mode 100644
index 0000000000..28bd1e42aa
--- /dev/null
+++ b/boost/geometry/io/wkt/wkt.hpp
@@ -0,0 +1,25 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_WKT_WKT_HPP
+#define BOOST_GEOMETRY_IO_WKT_WKT_HPP
+
+#include <boost/geometry/io/wkt/read.hpp>
+#include <boost/geometry/io/wkt/write.hpp>
+
+// BSG 2011-02-03
+// We don't include stream.hpp by default. That tries to stream anything not known
+// by default (such as ttmath) and reports errors.
+// Users can include stream.hpp themselves (if they want to)
+
+#endif // BOOST_GEOMETRY_IO_WKT_WKT_HPP
diff --git a/boost/geometry/io/wkt/write.hpp b/boost/geometry/io/wkt/write.hpp
new file mode 100644
index 0000000000..a3e3173d05
--- /dev/null
+++ b/boost/geometry/io/wkt/write.hpp
@@ -0,0 +1,376 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_IO_WKT_WRITE_HPP
+#define BOOST_GEOMETRY_IO_WKT_WRITE_HPP
+
+#include <ostream>
+#include <string>
+
+#include <boost/array.hpp>
+#include <boost/concept/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/algorithms/convert.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/geometries/ring.hpp>
+
+#include <boost/geometry/io/wkt/detail/prefix.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace wkt
+{
+
+template <typename P, int I, int Count>
+struct stream_coordinate
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os, P const& p)
+ {
+ os << (I > 0 ? " " : "") << get<I>(p);
+ stream_coordinate<P, I + 1, Count>::apply(os, p);
+ }
+};
+
+template <typename P, int Count>
+struct stream_coordinate<P, Count, Count>
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>&, P const&)
+ {}
+};
+
+struct prefix_linestring_par
+{
+ static inline const char* apply() { return "LINESTRING("; }
+};
+
+struct prefix_ring_par_par
+{
+ // Note, double parentheses are intentional, indicating WKT ring begin/end
+ static inline const char* apply() { return "POLYGON(("; }
+};
+
+struct opening_parenthesis
+{
+ static inline const char* apply() { return "("; }
+};
+
+struct closing_parenthesis
+{
+ static inline const char* apply() { return ")"; }
+};
+
+struct double_closing_parenthesis
+{
+ static inline const char* apply() { return "))"; }
+};
+
+/*!
+\brief Stream points as \ref WKT
+*/
+template <typename Point, typename Policy>
+struct wkt_point
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os, Point const& p)
+ {
+ os << Policy::apply() << "(";
+ stream_coordinate<Point, 0, dimension<Point>::type::value>::apply(os, p);
+ os << ")";
+ }
+};
+
+/*!
+\brief Stream ranges as WKT
+\note policy is used to stream prefix/postfix, enabling derived classes to override this
+*/
+template <typename Range, typename PrefixPolicy, typename SuffixPolicy>
+struct wkt_range
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Range const& range)
+ {
+ typedef typename boost::range_iterator<Range const>::type iterator_type;
+
+ bool first = true;
+
+ os << PrefixPolicy::apply();
+
+ // TODO: check EMPTY here
+
+ for (iterator_type it = boost::begin(range);
+ it != boost::end(range);
+ ++it)
+ {
+ os << (first ? "" : ",");
+ stream_coordinate
+ <
+ point_type, 0, dimension<point_type>::type::value
+ >::apply(os, *it);
+ first = false;
+ }
+
+ os << SuffixPolicy::apply();
+ }
+
+private:
+ typedef typename boost::range_value<Range>::type point_type;
+};
+
+/*!
+\brief Stream sequence of points as WKT-part, e.g. (1 2),(3 4)
+\note Used in polygon, all multi-geometries
+*/
+template <typename Range>
+struct wkt_sequence
+ : wkt_range
+ <
+ Range,
+ opening_parenthesis,
+ closing_parenthesis
+ >
+{};
+
+template <typename Polygon, typename PrefixPolicy>
+struct wkt_poly
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Polygon const& poly)
+ {
+ typedef typename ring_type<Polygon const>::type ring;
+
+ os << PrefixPolicy::apply();
+ // TODO: check EMPTY here
+ os << "(";
+ wkt_sequence<ring>::apply(os, exterior_ring(poly));
+
+ typename interior_return_type<Polygon const>::type rings
+ = interior_rings(poly);
+ for (BOOST_AUTO_TPL(it, boost::begin(rings)); it != boost::end(rings); ++it)
+ {
+ os << ",";
+ wkt_sequence<ring>::apply(os, *it);
+ }
+ os << ")";
+ }
+};
+
+template <typename Box>
+struct wkt_box
+{
+ typedef typename point_type<Box>::type point_type;
+
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Box const& box)
+ {
+ // Convert to ring, then stream
+ typedef model::ring<point_type> ring_type;
+ ring_type ring;
+ geometry::convert(box, ring);
+ os << "POLYGON(";
+ wkt_sequence<ring_type>::apply(os, ring);
+ os << ")";
+ }
+
+ private:
+
+ inline wkt_box()
+ {
+ // Only streaming of boxes with two dimensions is support, otherwise it is a polyhedron!
+ //assert_dimension<B, 2>();
+ }
+};
+
+
+template <typename Segment>
+struct wkt_segment
+{
+ typedef typename point_type<Segment>::type point_type;
+
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Segment const& segment)
+ {
+ // Convert to two points, then stream
+ typedef boost::array<point_type, 2> sequence;
+
+ sequence points;
+ geometry::detail::assign_point_from_index<0>(segment, points[0]);
+ geometry::detail::assign_point_from_index<1>(segment, points[1]);
+
+ // In Boost.Geometry a segment is represented
+ // in WKT-format like (for 2D): LINESTRING(x y,x y)
+ os << "LINESTRING";
+ wkt_sequence<sequence>::apply(os, points);
+ }
+
+ private:
+
+ inline wkt_segment()
+ {}
+};
+
+}} // namespace detail::wkt
+#endif // DOXYGEN_NO_DETAIL
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Tag, typename Geometry>
+struct wkt
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+template <typename Point>
+struct wkt<point_tag, Point>
+ : detail::wkt::wkt_point
+ <
+ Point,
+ detail::wkt::prefix_point
+ >
+{};
+
+template <typename Linestring>
+struct wkt<linestring_tag, Linestring>
+ : detail::wkt::wkt_range
+ <
+ Linestring,
+ detail::wkt::prefix_linestring_par,
+ detail::wkt::closing_parenthesis
+ >
+{};
+
+/*!
+\brief Specialization to stream a box as WKT
+\details A "box" does not exist in WKT.
+It is therefore streamed as a polygon
+*/
+template <typename Box>
+struct wkt<box_tag, Box>
+ : detail::wkt::wkt_box<Box>
+{};
+
+template <typename Segment>
+struct wkt<segment_tag, Segment>
+ : detail::wkt::wkt_segment<Segment>
+{};
+
+/*!
+\brief Specialization to stream a ring as WKT
+\details A ring or "linear_ring" does not exist in WKT.
+A ring is equivalent to a polygon without inner rings
+It is therefore streamed as a polygon
+*/
+template <typename Ring>
+struct wkt<ring_tag, Ring>
+ : detail::wkt::wkt_range
+ <
+ Ring,
+ detail::wkt::prefix_ring_par_par,
+ detail::wkt::double_closing_parenthesis
+ >
+{};
+
+/*!
+\brief Specialization to stream polygon as WKT
+*/
+template <typename Polygon>
+struct wkt<polygon_tag, Polygon>
+ : detail::wkt::wkt_poly
+ <
+ Polygon,
+ detail::wkt::prefix_polygon
+ >
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+/*!
+\brief Generic geometry template manipulator class, takes corresponding output class from traits class
+\ingroup wkt
+\details Stream manipulator, streams geometry classes as \ref WKT streams
+\par Example:
+Small example showing how to use the wkt class
+\dontinclude doxygen_1.cpp
+\skip example_as_wkt_point
+\line {
+\until }
+*/
+template <typename Geometry>
+class wkt_manipulator
+{
+public:
+
+ inline wkt_manipulator(Geometry const& g)
+ : m_geometry(g)
+ {}
+
+ template <typename Char, typename Traits>
+ inline friend std::basic_ostream<Char, Traits>& operator<<(
+ std::basic_ostream<Char, Traits>& os,
+ wkt_manipulator const& m)
+ {
+ dispatch::wkt
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::apply(os, m.m_geometry);
+ os.flush();
+ return os;
+ }
+
+private:
+ Geometry const& m_geometry;
+};
+
+/*!
+\brief Main WKT-streaming function
+\ingroup wkt
+\par Example:
+Small example showing how to use the wkt helper function
+\dontinclude doxygen_1.cpp
+\skip example_as_wkt_vector
+\line {
+\until }
+*/
+template <typename Geometry>
+inline wkt_manipulator<Geometry> wkt(Geometry const& geometry)
+{
+ concept::check<Geometry const>();
+
+ return wkt_manipulator<Geometry>(geometry);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_IO_WKT_WRITE_HPP
diff --git a/boost/geometry/iterators/base.hpp b/boost/geometry/iterators/base.hpp
new file mode 100644
index 0000000000..1e824654e6
--- /dev/null
+++ b/boost/geometry/iterators/base.hpp
@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_ITERATORS_BASE_HPP
+#define BOOST_GEOMETRY_ITERATORS_BASE_HPP
+
+#include <boost/iterator.hpp>
+#include <boost/iterator/iterator_adaptor.hpp>
+#include <boost/iterator/iterator_categories.hpp>
+#include <boost/mpl/if.hpp>
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace boost { namespace geometry { namespace detail { namespace iterators
+{
+
+template
+<
+ typename DerivedClass,
+ typename Iterator,
+ typename TraversalFlag = boost::bidirectional_traversal_tag
+>
+struct iterator_base
+ : public boost::iterator_adaptor
+ <
+ DerivedClass,
+ Iterator,
+ boost::use_default,
+ typename boost::mpl::if_
+ <
+ boost::is_convertible
+ <
+ typename boost::iterator_traversal<Iterator>::type,
+ boost::random_access_traversal_tag
+ >,
+ TraversalFlag,
+ boost::use_default
+ >::type
+ >
+{
+ // Define operator cast to Iterator to be able to write things like Iterator it = myit++
+ inline operator Iterator() const
+ {
+ return this->base();
+ }
+
+ /*inline bool operator==(Iterator const& other) const
+ {
+ return this->base() == other;
+ }
+ inline bool operator!=(Iterator const& other) const
+ {
+ return ! operator==(other);
+ }*/
+};
+
+}}}} // namespace boost::geometry::detail::iterators
+#endif
+
+
+#endif // BOOST_GEOMETRY_ITERATORS_BASE_HPP
diff --git a/boost/geometry/iterators/closing_iterator.hpp b/boost/geometry/iterators/closing_iterator.hpp
new file mode 100644
index 0000000000..7cd8fa0150
--- /dev/null
+++ b/boost/geometry/iterators/closing_iterator.hpp
@@ -0,0 +1,157 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_ITERATORS_CLOSING_ITERATOR_HPP
+#define BOOST_GEOMETRY_ITERATORS_CLOSING_ITERATOR_HPP
+
+#include <boost/range.hpp>
+#include <boost/iterator.hpp>
+#include <boost/iterator/iterator_facade.hpp>
+#include <boost/iterator/iterator_categories.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Iterator which iterates through a range, but adds first element at end of the range
+\tparam Range range on which this class is based on
+\ingroup iterators
+\note Use with "closing_iterator<Range> or "closing_iterator<Range const>
+ to get non-const / const behaviour
+\note This class is normally used from "closeable_view" if Close==true
+*/
+template <typename Range>
+struct closing_iterator
+ : public boost::iterator_facade
+ <
+ closing_iterator<Range>,
+ typename boost::range_value<Range>::type const,
+ boost::random_access_traversal_tag
+ >
+{
+ /// Constructor including the range it is based on
+ explicit inline closing_iterator(Range& range)
+ : m_range(&range)
+ , m_iterator(boost::begin(range))
+ , m_end(boost::end(range))
+ , m_size(boost::size(range))
+ , m_index(0)
+ {}
+
+ /// Constructor to indicate the end of a range
+ explicit inline closing_iterator(Range& range, bool)
+ : m_range(&range)
+ , m_iterator(boost::end(range))
+ , m_end(boost::end(range))
+ , m_size(boost::size(range))
+ , m_index(m_size + 1)
+ {}
+
+ /// Default constructor
+ explicit inline closing_iterator()
+ : m_range(NULL)
+ , m_size(0)
+ , m_index(0)
+ {}
+
+ inline closing_iterator<Range>& operator=(closing_iterator<Range> const& source)
+ {
+ m_range = source.m_range;
+ m_iterator = source.m_iterator;
+ m_end = source.m_end;
+ m_size = source.m_size;
+ m_index = source.m_index;
+ return *this;
+ }
+
+ typedef std::ptrdiff_t difference_type;
+
+private:
+ friend class boost::iterator_core_access;
+
+ inline typename boost::range_value<Range>::type const& dereference() const
+ {
+ return *m_iterator;
+ }
+
+ inline difference_type distance_to(closing_iterator<Range> const& other) const
+ {
+ return other.m_index - this->m_index;
+ }
+
+ inline bool equal(closing_iterator<Range> const& other) const
+ {
+ return this->m_range == other.m_range
+ && this->m_index == other.m_index;
+ }
+
+ inline void increment()
+ {
+ if (++m_index < m_size)
+ {
+ ++m_iterator;
+ }
+ else
+ {
+ update_iterator();
+ }
+ }
+
+ inline void decrement()
+ {
+ if (m_index-- < m_size)
+ {
+ --m_iterator;
+ }
+ else
+ {
+ update_iterator();
+ }
+ }
+
+ inline void advance(difference_type n)
+ {
+ if (m_index < m_size && m_index + n < m_size)
+ {
+ m_index += n;
+ m_iterator += n;
+ }
+ else
+ {
+ m_index += n;
+ update_iterator();
+ }
+ }
+
+ inline void update_iterator()
+ {
+ this->m_iterator = m_index <= m_size
+ ? boost::begin(*m_range) + (m_index % m_size)
+ : boost::end(*m_range)
+ ;
+ }
+
+ Range* m_range;
+ typename boost::range_iterator<Range>::type m_iterator;
+ typename boost::range_iterator<Range>::type m_end;
+ difference_type m_size;
+ difference_type m_index;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_ITERATORS_CLOSING_ITERATOR_HPP
diff --git a/boost/geometry/iterators/ever_circling_iterator.hpp b/boost/geometry/iterators/ever_circling_iterator.hpp
new file mode 100644
index 0000000000..03921096e7
--- /dev/null
+++ b/boost/geometry/iterators/ever_circling_iterator.hpp
@@ -0,0 +1,164 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_ITERATORS_EVER_CIRCLING_ITERATOR_HPP
+#define BOOST_GEOMETRY_ITERATORS_EVER_CIRCLING_ITERATOR_HPP
+
+#include <boost/range.hpp>
+#include <boost/iterator.hpp>
+#include <boost/iterator/iterator_adaptor.hpp>
+#include <boost/iterator/iterator_categories.hpp>
+
+#include <boost/geometry/iterators/base.hpp>
+
+namespace boost { namespace geometry
+{
+
+/*!
+ \brief Iterator which ever circles through a range
+ \tparam Iterator iterator on which this class is based on
+ \ingroup iterators
+ \details If the iterator arrives at range.end() it restarts from the
+ beginning. So it has to be stopped in another way.
+ Don't call for(....; it++) because it will turn in an endless loop
+ \note Name inspired on David Bowie's
+ "Chant Of The Ever Circling Skeletal Family"
+*/
+template <typename Iterator>
+struct ever_circling_iterator :
+ public detail::iterators::iterator_base
+ <
+ ever_circling_iterator<Iterator>,
+ Iterator
+ >
+{
+ friend class boost::iterator_core_access;
+
+ explicit inline ever_circling_iterator(Iterator begin, Iterator end,
+ bool skip_first = false)
+ : m_begin(begin)
+ , m_end(end)
+ , m_skip_first(skip_first)
+ {
+ this->base_reference() = begin;
+ }
+
+ explicit inline ever_circling_iterator(Iterator begin, Iterator end, Iterator start,
+ bool skip_first = false)
+ : m_begin(begin)
+ , m_end(end)
+ , m_skip_first(skip_first)
+ {
+ this->base_reference() = start;
+ }
+
+ /// Navigate to a certain position, should be in [start .. end], if at end
+ /// it will circle again.
+ inline void moveto(Iterator it)
+ {
+ this->base_reference() = it;
+ check_end();
+ }
+
+private:
+
+ inline void increment(bool possibly_skip = true)
+ {
+ (this->base_reference())++;
+ check_end(possibly_skip);
+ }
+
+ inline void check_end(bool possibly_skip = true)
+ {
+ if (this->base() == this->m_end)
+ {
+ this->base_reference() = this->m_begin;
+ if (m_skip_first && possibly_skip)
+ {
+ increment(false);
+ }
+ }
+ }
+
+ Iterator m_begin;
+ Iterator m_end;
+ bool m_skip_first;
+};
+
+
+
+template <typename Range>
+class ever_circling_range_iterator
+ : public boost::iterator_adaptor
+ <
+ ever_circling_range_iterator<Range>,
+ typename boost::range_iterator<Range>::type
+ >
+{
+public :
+ typedef typename boost::range_iterator<Range>::type iterator_type;
+
+ explicit inline ever_circling_range_iterator(Range& range,
+ bool skip_first = false)
+ : m_range(range)
+ , m_skip_first(skip_first)
+ {
+ this->base_reference() = boost::begin(m_range);
+ }
+
+ explicit inline ever_circling_range_iterator(Range& range, iterator_type start,
+ bool skip_first = false)
+ : m_range(range)
+ , m_skip_first(skip_first)
+ {
+ this->base_reference() = start;
+ }
+
+ /// Navigate to a certain position, should be in [start .. end], if at end
+ /// it will circle again.
+ inline void moveto(iterator_type it)
+ {
+ this->base_reference() = it;
+ check_end();
+ }
+
+private:
+
+ friend class boost::iterator_core_access;
+
+ inline void increment(bool possibly_skip = true)
+ {
+ (this->base_reference())++;
+ check_end(possibly_skip);
+ }
+
+ inline void check_end(bool possibly_skip = true)
+ {
+ if (this->base_reference() == boost::end(m_range))
+ {
+ this->base_reference() = boost::begin(m_range);
+ if (m_skip_first && possibly_skip)
+ {
+ increment(false);
+ }
+ }
+ }
+
+ Range& m_range;
+ bool m_skip_first;
+};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ITERATORS_EVER_CIRCLING_ITERATOR_HPP
diff --git a/boost/geometry/multi/algorithms/append.hpp b/boost/geometry/multi/algorithms/append.hpp
new file mode 100644
index 0000000000..e72be036ae
--- /dev/null
+++ b/boost/geometry/multi/algorithms/append.hpp
@@ -0,0 +1,52 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_APPEND_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_APPEND_HPP
+
+#include <boost/geometry/algorithms/append.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+namespace splitted_dispatch
+{
+
+template <typename Geometry, typename Point>
+struct append_point<multi_point_tag, Geometry, Point>
+ : detail::append::append_point<Geometry, Point>
+{};
+
+template <typename Geometry, typename Range>
+struct append_range<multi_point_tag, Geometry, Range>
+ : detail::append::append_range<Geometry, Range>
+{};
+
+}
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_APPEND_HPP
diff --git a/boost/geometry/multi/algorithms/area.hpp b/boost/geometry/multi/algorithms/area.hpp
new file mode 100644
index 0000000000..6695686358
--- /dev/null
+++ b/boost/geometry/multi/algorithms/area.hpp
@@ -0,0 +1,57 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_AREA_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_AREA_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/area.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+#include <boost/geometry/multi/algorithms/detail/multi_sum.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+template <typename MultiGeometry, typename Strategy>
+struct area<MultiGeometry, Strategy, multi_polygon_tag>
+ : detail::multi_sum
+ <
+ typename Strategy::return_type,
+ MultiGeometry,
+ Strategy,
+ area
+ <
+ typename boost::range_value<MultiGeometry>::type,
+ Strategy,
+ polygon_tag
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_AREA_HPP
diff --git a/boost/geometry/multi/algorithms/centroid.hpp b/boost/geometry/multi/algorithms/centroid.hpp
new file mode 100644
index 0000000000..855ed22fda
--- /dev/null
+++ b/boost/geometry/multi/algorithms/centroid.hpp
@@ -0,0 +1,178 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_CENTROID_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_CENTROID_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/centroid.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace centroid
+{
+
+
+/*!
+ \brief Building block of a multi-point, to be used as Policy in the
+ more generec centroid_multi
+*/
+template
+<
+ typename Point,
+ typename Strategy
+>
+struct centroid_multi_point_state
+{
+ static inline void apply(Point const& point,
+ Strategy const& strategy, typename Strategy::state_type& state)
+ {
+ strategy.apply(point, state);
+ }
+};
+
+
+
+/*!
+ \brief Generic implementation which calls a policy to calculate the
+ centroid of the total of its single-geometries
+ \details The Policy is, in general, the single-version, with state. So
+ detail::centroid::centroid_polygon_state is used as a policy for this
+ detail::centroid::centroid_multi
+
+*/
+template
+<
+ typename Multi,
+ typename Point,
+ typename Strategy,
+ typename Policy
+>
+struct centroid_multi
+{
+ static inline void apply(Multi const& multi, Point& centroid,
+ Strategy const& strategy)
+ {
+#if ! defined(BOOST_GEOMETRY_CENTROID_NO_THROW)
+ // If there is nothing in any of the ranges, it is not possible
+ // to calculate the centroid
+ if (geometry::num_points(multi) == 0)
+ {
+ throw centroid_exception();
+ }
+#endif
+
+ typename Strategy::state_type state;
+
+ for (typename boost::range_iterator<Multi const>::type
+ it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ Policy::apply(*it, strategy, state);
+ }
+ Strategy::result(state, centroid);
+ }
+};
+
+
+
+}} // namespace detail::centroid
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+ typename MultiLinestring,
+ typename Point,
+ typename Strategy
+>
+struct centroid<multi_linestring_tag, MultiLinestring, Point, Strategy>
+ : detail::centroid::centroid_multi
+ <
+ MultiLinestring,
+ Point,
+ Strategy,
+ detail::centroid::centroid_range_state
+ <
+ typename boost::range_value<MultiLinestring>::type,
+ closed,
+ Strategy
+ >
+ >
+{};
+
+template
+<
+ typename MultiPolygon,
+ typename Point,
+ typename Strategy
+>
+struct centroid<multi_polygon_tag, MultiPolygon, Point, Strategy>
+ : detail::centroid::centroid_multi
+ <
+ MultiPolygon,
+ Point,
+ Strategy,
+ detail::centroid::centroid_polygon_state
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ Strategy
+ >
+ >
+{};
+
+
+template
+<
+ typename MultiPoint,
+ typename Point,
+ typename Strategy
+>
+struct centroid<multi_point_tag, MultiPoint, Point, Strategy>
+ : detail::centroid::centroid_multi
+ <
+ MultiPoint,
+ Point,
+ Strategy,
+ detail::centroid::centroid_multi_point_state
+ <
+ typename boost::range_value<MultiPoint>::type,
+ Strategy
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_CENTROID_HPP
+
diff --git a/boost/geometry/multi/algorithms/clear.hpp b/boost/geometry/multi/algorithms/clear.hpp
new file mode 100644
index 0000000000..0b14b6ce9c
--- /dev/null
+++ b/boost/geometry/multi/algorithms/clear.hpp
@@ -0,0 +1,43 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_CLEAR_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_CLEAR_HPP
+
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/algorithms/clear.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Geometry>
+struct clear<Geometry, multi_tag>
+ : detail::clear::collection_clear<Geometry>
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_CLEAR_HPP
diff --git a/boost/geometry/multi/algorithms/convert.hpp b/boost/geometry/multi/algorithms/convert.hpp
new file mode 100644
index 0000000000..4745791135
--- /dev/null
+++ b/boost/geometry/multi/algorithms/convert.hpp
@@ -0,0 +1,128 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_CONVERT_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_CONVERT_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace conversion
+{
+
+template <typename Single, typename Multi, typename Policy>
+struct single_to_multi: private Policy
+{
+ static inline void apply(Single const& single, Multi& multi)
+ {
+ traits::resize<Multi>::apply(multi, 1);
+ Policy::apply(single, *boost::begin(multi));
+ }
+};
+
+
+
+template <typename Multi1, typename Multi2, typename Policy>
+struct multi_to_multi: private Policy
+{
+ static inline void apply(Multi1 const& multi1, Multi2& multi2)
+ {
+ traits::resize<Multi2>::apply(multi2, boost::size(multi1));
+
+ typename boost::range_iterator<Multi1 const>::type it1
+ = boost::begin(multi1);
+ typename boost::range_iterator<Multi2>::type it2
+ = boost::begin(multi2);
+
+ for (; it1 != boost::end(multi1); ++it1, ++it2)
+ {
+ Policy::apply(*it1, *it2);
+ }
+ }
+};
+
+
+}} // namespace detail::convert
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// Dispatch for multi <-> multi, specifying their single-version as policy.
+// Note that, even if the multi-types are mutually different, their single
+// version types might be the same and therefore we call boost::is_same again
+
+template <typename Multi1, typename Multi2, std::size_t DimensionCount>
+struct convert<Multi1, Multi2, multi_tag, multi_tag, DimensionCount, false>
+ : detail::conversion::multi_to_multi
+ <
+ Multi1,
+ Multi2,
+ convert
+ <
+ typename boost::range_value<Multi1>::type,
+ typename boost::range_value<Multi2>::type,
+ typename single_tag_of
+ <
+ typename tag<Multi1>::type
+ >::type,
+ typename single_tag_of
+ <
+ typename tag<Multi2>::type
+ >::type,
+ DimensionCount
+ >
+ >
+{};
+
+template <typename Single, typename Multi, typename SingleTag, std::size_t DimensionCount>
+struct convert<Single, Multi, SingleTag, multi_tag, DimensionCount, false>
+ : detail::conversion::single_to_multi
+ <
+ Single,
+ Multi,
+ convert
+ <
+ Single,
+ typename boost::range_value<Multi>::type,
+ typename tag<Single>::type,
+ typename single_tag_of
+ <
+ typename tag<Multi>::type
+ >::type,
+ DimensionCount,
+ false
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_CONVERT_HPP
diff --git a/boost/geometry/multi/algorithms/correct.hpp b/boost/geometry/multi/algorithms/correct.hpp
new file mode 100644
index 0000000000..d0c3e10753
--- /dev/null
+++ b/boost/geometry/multi/algorithms/correct.hpp
@@ -0,0 +1,66 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_CORRECT_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_CORRECT_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/correct.hpp>
+#include <boost/geometry/multi/algorithms/detail/modify.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename MultiPoint>
+struct correct<MultiPoint, multi_point_tag>
+ : detail::correct::correct_nop<MultiPoint>
+{};
+
+
+template <typename MultiLineString>
+struct correct<MultiLineString, multi_linestring_tag>
+ : detail::correct::correct_nop<MultiLineString>
+{};
+
+
+template <typename Geometry>
+struct correct<Geometry, multi_polygon_tag>
+ : detail::multi_modify
+ <
+ Geometry,
+ detail::correct::correct_polygon
+ <
+ typename boost::range_value<Geometry>::type
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_CORRECT_HPP
diff --git a/boost/geometry/multi/algorithms/covered_by.hpp b/boost/geometry/multi/algorithms/covered_by.hpp
new file mode 100644
index 0000000000..ba398c0f42
--- /dev/null
+++ b/boost/geometry/multi/algorithms/covered_by.hpp
@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_COVERED_BY_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_COVERED_BY_HPP
+
+
+#include <boost/geometry/algorithms/covered_by.hpp>
+#include <boost/geometry/multi/core/closure.hpp>
+#include <boost/geometry/multi/core/point_order.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/algorithms/within.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Point, typename MultiPolygon>
+struct covered_by<Point, MultiPolygon, point_tag, multi_polygon_tag>
+{
+ template <typename Strategy>
+ static inline bool apply(Point const& point,
+ MultiPolygon const& multi_polygon, Strategy const& strategy)
+ {
+ return detail::within::geometry_multi_within_code
+ <
+ Point,
+ MultiPolygon,
+ Strategy,
+ detail::within::point_in_polygon
+ <
+ Point,
+ typename boost::range_value<MultiPolygon>::type,
+ order_as_direction
+ <
+ geometry::point_order<MultiPolygon>::value
+ >::value,
+ geometry::closure<MultiPolygon>::value,
+ Strategy
+ >
+ >::apply(point, multi_polygon, strategy) >= 0;
+ }
+};
+
+
+} // namespace dispatch
+
+
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_COVERED_BY_HPP
diff --git a/boost/geometry/multi/algorithms/detail/for_each_range.hpp b/boost/geometry/multi/algorithms/detail/for_each_range.hpp
new file mode 100644
index 0000000000..08ab14bd69
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/for_each_range.hpp
@@ -0,0 +1,86 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_FOR_EACH_RANGE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_FOR_EACH_RANGE_HPP
+
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/algorithms/detail/for_each_range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace for_each
+{
+
+
+template <typename Multi, typename Actor, bool IsConst>
+struct fe_range_multi
+{
+ static inline void apply(
+ typename add_const_if_c<IsConst, Multi>::type& multi,
+ Actor& actor)
+ {
+ for(BOOST_AUTO_TPL(it, boost::begin(multi)); it != boost::end(multi); ++it)
+ {
+ geometry::detail::for_each_range(*it, actor);
+ }
+ }
+};
+
+
+
+}} // namespace detail::for_each
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename MultiPoint, typename Actor, bool IsConst>
+struct for_each_range<multi_point_tag, MultiPoint, Actor, IsConst>
+ : detail::for_each::fe_range_range<MultiPoint, Actor, IsConst>
+{};
+
+template <typename Geometry, typename Actor, bool IsConst>
+struct for_each_range<multi_linestring_tag, Geometry, Actor, IsConst>
+ :
+ detail::for_each::fe_range_multi<Geometry, Actor, IsConst>
+{};
+
+template <typename Geometry, typename Actor, bool IsConst>
+struct for_each_range<multi_polygon_tag, Geometry, Actor, IsConst>
+ :
+ detail::for_each::fe_range_multi<Geometry, Actor, IsConst>
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_FOR_EACH_RANGE_HPP
diff --git a/boost/geometry/multi/algorithms/detail/modify.hpp b/boost/geometry/multi/algorithms/detail/modify.hpp
new file mode 100644
index 0000000000..b52efd2512
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/modify.hpp
@@ -0,0 +1,53 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_MODIFY_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_MODIFY_HPP
+
+
+#include <boost/range.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template <typename MultiGeometry, typename Policy>
+struct multi_modify
+{
+ static inline void apply(MultiGeometry& multi)
+ {
+ typedef typename boost::range_iterator<MultiGeometry>::type iterator_type;
+ for (iterator_type it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ Policy::apply(*it);
+ }
+ }
+};
+
+
+} // namespace detail
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_MODIFY_HPP
diff --git a/boost/geometry/multi/algorithms/detail/modify_with_predicate.hpp b/boost/geometry/multi/algorithms/detail/modify_with_predicate.hpp
new file mode 100644
index 0000000000..4ae79058da
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/modify_with_predicate.hpp
@@ -0,0 +1,52 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_MODIFY_WITH_PREDICATE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_MODIFY_WITH_PREDICATE_HPP
+
+
+#include <boost/range.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename MultiGeometry, typename Predicate, typename Policy>
+struct multi_modify_with_predicate
+{
+ static inline void apply(MultiGeometry& multi, Predicate const& predicate)
+ {
+ typedef typename boost::range_iterator<MultiGeometry>::type iterator_type;
+ for (iterator_type it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ Policy::apply(*it, predicate);
+ }
+ }
+};
+
+
+} // namespace detail
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_MODIFY_WITH_PREDICATE_HPP
diff --git a/boost/geometry/multi/algorithms/detail/multi_sum.hpp b/boost/geometry/multi/algorithms/detail/multi_sum.hpp
new file mode 100644
index 0000000000..a47685ceb1
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/multi_sum.hpp
@@ -0,0 +1,58 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_SUM_HPP
+#define BOOST_GEOMETRY_MULTI_SUM_HPP
+
+#include <boost/range.hpp>
+
+
+namespace boost { namespace geometry
+{
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template
+<
+ typename ReturnType,
+ typename MultiGeometry,
+ typename Strategy,
+ typename Policy
+>
+struct multi_sum
+{
+ static inline ReturnType apply(MultiGeometry const& geometry, Strategy const& strategy)
+ {
+ ReturnType sum = ReturnType();
+ for (typename boost::range_iterator
+ <
+ MultiGeometry const
+ >::type it = boost::begin(geometry);
+ it != boost::end(geometry);
+ ++it)
+ {
+ sum += Policy::apply(*it, strategy);
+ }
+ return sum;
+ }
+};
+
+
+} // namespace detail
+#endif
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_SUM_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp b/boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp
new file mode 100644
index 0000000000..1093a84569
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp
@@ -0,0 +1,101 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/algorithms/detail/overlay/copy_segment_point.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace copy_segments
+{
+
+
+template
+<
+ typename MultiGeometry,
+ typename SegmentIdentifier,
+ typename PointOut,
+ typename Policy
+>
+struct copy_segment_point_multi
+{
+ static inline bool apply(MultiGeometry const& multi,
+ SegmentIdentifier const& seg_id, bool second,
+ PointOut& point)
+ {
+
+ BOOST_ASSERT
+ (
+ seg_id.multi_index >= 0
+ && seg_id.multi_index < boost::size(multi)
+ );
+
+ // Call the single-version
+ return Policy::apply(multi[seg_id.multi_index], seg_id, second, point);
+ }
+};
+
+
+}} // namespace detail::copy_segments
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename MultiGeometry,
+ bool Reverse,
+ typename SegmentIdentifier,
+ typename PointOut
+>
+struct copy_segment_point
+ <
+ multi_polygon_tag,
+ MultiGeometry,
+ Reverse,
+ SegmentIdentifier,
+ PointOut
+ >
+ : detail::copy_segments::copy_segment_point_multi
+ <
+ MultiGeometry,
+ SegmentIdentifier,
+ PointOut,
+ detail::copy_segments::copy_segment_point_polygon
+ <
+ typename boost::range_value<MultiGeometry>::type,
+ Reverse,
+ SegmentIdentifier,
+ PointOut
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENT_POINT_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp b/boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp
new file mode 100644
index 0000000000..a234e240da
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp
@@ -0,0 +1,104 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENTS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENTS_HPP
+
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/copy_segments.hpp>
+
+#include <boost/geometry/multi/core/ring_type.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace copy_segments
+{
+
+
+template
+<
+ typename MultiGeometry,
+ typename SegmentIdentifier,
+ typename RangeOut,
+ typename Policy
+>
+struct copy_segments_multi
+{
+ static inline void apply(MultiGeometry const& multi_geometry,
+ SegmentIdentifier const& seg_id, int to_index,
+ RangeOut& current_output)
+ {
+
+ BOOST_ASSERT
+ (
+ seg_id.multi_index >= 0
+ && seg_id.multi_index < boost::size(multi_geometry)
+ );
+
+ // Call the single-version
+ Policy::apply(multi_geometry[seg_id.multi_index],
+ seg_id, to_index, current_output);
+ }
+};
+
+
+}} // namespace detail::copy_segments
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename MultiPolygon,
+ bool Reverse,
+ typename SegmentIdentifier,
+ typename RangeOut
+>
+struct copy_segments
+ <
+ multi_polygon_tag,
+ MultiPolygon,
+ Reverse,
+ SegmentIdentifier,
+ RangeOut
+ >
+ : detail::copy_segments::copy_segments_multi
+ <
+ MultiPolygon,
+ SegmentIdentifier,
+ RangeOut,
+ detail::copy_segments::copy_segments_polygon
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ Reverse,
+ SegmentIdentifier,
+ RangeOut
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_COPY_SEGMENTS_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp b/boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp
new file mode 100644
index 0000000000..8cdd7ed970
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp
@@ -0,0 +1,54 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_RING_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_RING_HPP
+
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/get_ring.hpp>
+#include <boost/geometry/multi/core/ring_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+template<>
+struct get_ring<multi_polygon_tag>
+{
+ template<typename MultiPolygon>
+ static inline typename ring_type<MultiPolygon>::type const& apply(
+ ring_identifier const& id,
+ MultiPolygon const& multi_polygon)
+ {
+ BOOST_ASSERT
+ (
+ id.multi_index >= 0
+ && id.multi_index < boost::size(multi_polygon)
+ );
+ return get_ring<polygon_tag>::apply(id,
+ multi_polygon[id.multi_index]);
+ }
+};
+
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_RING_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp b/boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp
new file mode 100644
index 0000000000..1ee03cc4d0
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp
@@ -0,0 +1,111 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_TURNS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_TURNS_HPP
+
+
+#include <boost/geometry/multi/core/ring_type.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/get_turns.hpp>
+
+#include <boost/geometry/multi/algorithms/distance.hpp>
+#include <boost/geometry/multi/views/detail/range_type.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp>
+#include <boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace get_turns
+{
+
+template
+<
+ typename Multi, typename Box,
+ bool Reverse, bool ReverseBox,
+ typename Turns,
+ typename TurnPolicy,
+ typename InterruptPolicy
+>
+struct get_turns_multi_polygon_cs
+{
+ static inline void apply(
+ int source_id1, Multi const& multi,
+ int source_id2, Box const& box,
+ Turns& turns, InterruptPolicy& interrupt_policy)
+ {
+ typedef typename boost::range_iterator
+ <
+ Multi const
+ >::type iterator_type;
+
+ int i = 0;
+ for (iterator_type it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it, ++i)
+ {
+ // Call its single version
+ get_turns_polygon_cs
+ <
+ typename boost::range_value<Multi>::type, Box,
+ Reverse, ReverseBox,
+ Turns, TurnPolicy, InterruptPolicy
+ >::apply(source_id1, *it, source_id2, box,
+ turns, interrupt_policy, i);
+ }
+ }
+};
+
+}} // namespace detail::get_turns
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename MultiPolygon,
+ typename Box,
+ bool ReverseMultiPolygon, bool ReverseBox,
+ typename Turns,
+ typename TurnPolicy,
+ typename InterruptPolicy
+>
+struct get_turns
+ <
+ multi_polygon_tag, box_tag,
+ MultiPolygon, Box,
+ ReverseMultiPolygon, ReverseBox,
+ Turns,
+ TurnPolicy, InterruptPolicy
+ >
+ : detail::get_turns::get_turns_multi_polygon_cs
+ <
+ MultiPolygon, Box,
+ ReverseMultiPolygon, ReverseBox,
+ Turns,
+ TurnPolicy, InterruptPolicy
+ >
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_GET_TURNS_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp b/boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp
new file mode 100644
index 0000000000..4636187880
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp
@@ -0,0 +1,62 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELECT_RINGS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELECT_RINGS_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/overlay/select_rings.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace overlay
+{
+
+namespace dispatch
+{
+
+ template <typename Multi>
+ struct select_rings<multi_polygon_tag, Multi>
+ {
+ template <typename Geometry, typename Map>
+ static inline void apply(Multi const& multi, Geometry const& geometry,
+ ring_identifier id, Map& map, bool midpoint)
+ {
+ typedef typename boost::range_iterator
+ <
+ Multi const
+ >::type iterator_type;
+
+ typedef select_rings<polygon_tag, typename boost::range_value<Multi>::type> per_polygon;
+
+ id.multi_index = 0;
+ for (iterator_type it = boost::begin(multi); it != boost::end(multi); ++it)
+ {
+ id.ring_index = -1;
+ per_polygon::apply(*it, geometry, id, map, midpoint);
+ id.multi_index++;
+ }
+ }
+ };
+}
+
+
+}} // namespace detail::overlay
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELECT_RINGS_HPP
diff --git a/boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp b/boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp
new file mode 100644
index 0000000000..57d5ff92ca
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp
@@ -0,0 +1,56 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP
+
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/algorithms/detail/overlay/self_turn_points.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename MultiPolygon,
+ typename Turns,
+ typename TurnPolicy,
+ typename InterruptPolicy
+>
+struct self_get_turn_points
+ <
+ multi_polygon_tag, MultiPolygon,
+ Turns,
+ TurnPolicy, InterruptPolicy
+ >
+ : detail::self_get_turn_points::get_turns
+ <
+ MultiPolygon,
+ Turns,
+ TurnPolicy,
+ InterruptPolicy
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_OVERLAY_SELF_TURN_POINTS_HPP
diff --git a/boost/geometry/multi/algorithms/detail/point_on_border.hpp b/boost/geometry/multi/algorithms/detail/point_on_border.hpp
new file mode 100644
index 0000000000..04d76422c6
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/point_on_border.hpp
@@ -0,0 +1,95 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/algorithms/detail/point_on_border.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace point_on_border
+{
+
+
+template
+<
+ typename MultiGeometry,
+ typename Point,
+ typename Policy
+>
+struct point_on_multi
+{
+ static inline bool apply(MultiGeometry const& multi, Point& point)
+ {
+ // Take a point on the first multi-geometry
+ // (i.e. the first that is not empty)
+ for (typename boost::range_iterator
+ <
+ MultiGeometry const
+ >::type it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ if (Policy::apply(*it, point))
+ {
+ return true;
+ }
+ }
+ return false;
+ }
+};
+
+
+
+
+}} // namespace detail::point_on_border
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template<typename Multi, typename Point>
+struct point_on_border<multi_polygon_tag, Multi, Point>
+ : detail::point_on_border::point_on_multi
+ <
+ Multi,
+ Point,
+ detail::point_on_border::point_on_polygon
+ <
+ typename boost::range_value<Multi>::type,
+ Point
+ >
+ >
+{};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_POINT_ON_BORDER_HPP
diff --git a/boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp b/boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp
new file mode 100644
index 0000000000..cf4bf5d83b
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp
@@ -0,0 +1,90 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP
+
+
+#include <boost/assert.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/ring_type.hpp>
+#include <boost/geometry/algorithms/detail/sections/range_by_section.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace section
+{
+
+
+template
+<
+ typename MultiGeometry,
+ typename Section,
+ typename Policy
+>
+struct full_section_multi
+{
+ static inline typename ring_return_type<MultiGeometry const>::type apply(
+ MultiGeometry const& multi, Section const& section)
+ {
+ BOOST_ASSERT
+ (
+ section.ring_id.multi_index >= 0
+ && section.ring_id.multi_index < boost::size(multi)
+ );
+
+ return Policy::apply(multi[section.ring_id.multi_index], section);
+ }
+};
+
+
+}} // namespace detail::section
+#endif
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename MultiPolygon, typename Section>
+struct range_by_section<multi_polygon_tag, MultiPolygon, Section>
+ : detail::section::full_section_multi
+ <
+ MultiPolygon,
+ Section,
+ detail::section::full_section_polygon
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ Section
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_SECTIONS_RANGE_BY_SECTION_HPP
diff --git a/boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp b/boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp
new file mode 100644
index 0000000000..16f70c193d
--- /dev/null
+++ b/boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp
@@ -0,0 +1,95 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DETAIL_SECTIONS_SECTIONALIZE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_SECTIONS_SECTIONALIZE_HPP
+
+#include <cstddef>
+#include <vector>
+
+#include <boost/concept/requires.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/detail/sections/sectionalize.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace sectionalize
+{
+
+
+template <typename MultiGeometry, typename Sections, std::size_t DimensionCount, typename Policy>
+struct sectionalize_multi
+{
+ static inline void apply(MultiGeometry const& multi, Sections& sections, ring_identifier ring_id)
+ {
+ ring_id.multi_index = 0;
+ for (typename boost::range_iterator<MultiGeometry const>::type
+ it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it, ++ring_id.multi_index)
+ {
+ Policy::apply(*it, sections, ring_id);
+ }
+ }
+};
+
+
+}} // namespace detail::sectionalize
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template
+<
+ typename MultiPolygon,
+ bool Reverse,
+ typename Sections,
+ std::size_t DimensionCount,
+ std::size_t MaxCount
+>
+struct sectionalize<multi_polygon_tag, MultiPolygon, Reverse, Sections, DimensionCount, MaxCount>
+ : detail::sectionalize::sectionalize_multi
+ <
+ MultiPolygon,
+ Sections,
+ DimensionCount,
+ detail::sectionalize::sectionalize_polygon
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ Reverse,
+ Sections,
+ DimensionCount,
+ MaxCount
+ >
+ >
+
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DETAIL_SECTIONS_SECTIONALIZE_HPP
diff --git a/boost/geometry/multi/algorithms/distance.hpp b/boost/geometry/multi/algorithms/distance.hpp
new file mode 100644
index 0000000000..8acb3f9006
--- /dev/null
+++ b/boost/geometry/multi/algorithms/distance.hpp
@@ -0,0 +1,157 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_DISTANCE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_DISTANCE_HPP
+
+
+#include <boost/numeric/conversion/bounds.hpp>
+#include <boost/range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/geometry_id.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+
+#include <boost/geometry/algorithms/distance.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace distance
+{
+
+
+template<typename Geometry, typename MultiGeometry, typename Strategy>
+struct distance_single_to_multi
+ : private dispatch::distance
+ <
+ Geometry,
+ typename range_value<MultiGeometry>::type,
+ Strategy
+ >
+{
+ typedef typename strategy::distance::services::return_type<Strategy>::type return_type;
+
+ static inline return_type apply(Geometry const& geometry,
+ MultiGeometry const& multi,
+ Strategy const& strategy)
+ {
+ return_type mindist = return_type();
+ bool first = true;
+
+ for(typename range_iterator<MultiGeometry const>::type it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it, first = false)
+ {
+ return_type dist = dispatch::distance
+ <
+ Geometry,
+ typename range_value<MultiGeometry>::type,
+ Strategy
+ >::apply(geometry, *it, strategy);
+
+ if (first || dist < mindist)
+ {
+ mindist = dist;
+ }
+ }
+
+ return mindist;
+ }
+};
+
+template<typename Multi1, typename Multi2, typename Strategy>
+struct distance_multi_to_multi
+ : private distance_single_to_multi
+ <
+ typename range_value<Multi1>::type,
+ Multi2,
+ Strategy
+ >
+{
+ typedef typename strategy::distance::services::return_type<Strategy>::type return_type;
+
+ static inline return_type apply(Multi1 const& multi1,
+ Multi2 const& multi2, Strategy const& strategy)
+ {
+ return_type mindist = return_type();
+ bool first = true;
+
+ for(typename range_iterator<Multi1 const>::type it = boost::begin(multi1);
+ it != boost::end(multi1);
+ ++it, first = false)
+ {
+ return_type dist = distance_single_to_multi
+ <
+ typename range_value<Multi1>::type,
+ Multi2,
+ Strategy
+ >::apply(*it, multi2, strategy);
+ if (first || dist < mindist)
+ {
+ mindist = dist;
+ }
+ }
+
+ return mindist;
+ }
+};
+
+
+}} // namespace detail::distance
+#endif
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+ typename G1,
+ typename G2,
+ typename Strategy,
+ typename SingleGeometryTag
+>
+struct distance
+<
+ G1, G2, Strategy,
+ SingleGeometryTag, multi_tag, strategy_tag_distance_point_point,
+ false
+>
+ : detail::distance::distance_single_to_multi<G1, G2, Strategy>
+{};
+
+template <typename G1, typename G2, typename Strategy>
+struct distance
+<
+ G1, G2, Strategy,
+ multi_tag, multi_tag, strategy_tag_distance_point_point,
+ false
+>
+ : detail::distance::distance_multi_to_multi<G1, G2, Strategy>
+{};
+
+} // namespace dispatch
+#endif
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_DISTANCE_HPP
diff --git a/boost/geometry/multi/algorithms/envelope.hpp b/boost/geometry/multi/algorithms/envelope.hpp
new file mode 100644
index 0000000000..1876b5f91e
--- /dev/null
+++ b/boost/geometry/multi/algorithms/envelope.hpp
@@ -0,0 +1,117 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_ENVELOPE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_ENVELOPE_HPP
+
+#include <vector>
+
+#include <boost/range/metafunctions.hpp>
+
+
+#include <boost/geometry/core/exterior_ring.hpp>
+#include <boost/geometry/algorithms/envelope.hpp>
+
+#include <boost/geometry/multi/core/point_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+
+namespace detail { namespace envelope
+{
+
+
+template<typename MultiLinestring, typename Box>
+struct envelope_multi_linestring
+{
+ static inline void apply(MultiLinestring const& mp, Box& mbr)
+ {
+ assign_inverse(mbr);
+ for (typename boost::range_iterator<MultiLinestring const>::type
+ it = mp.begin();
+ it != mp.end();
+ ++it)
+ {
+ envelope_range_additional(*it, mbr);
+ }
+ }
+};
+
+
+// version for multi_polygon: outer ring's of all polygons
+template<typename MultiPolygon, typename Box>
+struct envelope_multi_polygon
+{
+ static inline void apply(MultiPolygon const& mp, Box& mbr)
+ {
+ assign_inverse(mbr);
+ for (typename boost::range_const_iterator<MultiPolygon>::type
+ it = mp.begin();
+ it != mp.end();
+ ++it)
+ {
+ envelope_range_additional(exterior_ring(*it), mbr);
+ }
+ }
+};
+
+
+}} // namespace detail::envelope
+
+#endif
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+ typename Multi, typename Box,
+ typename StrategyLess, typename StrategyGreater
+>
+struct envelope<multi_point_tag, box_tag, Multi, Box, StrategyLess, StrategyGreater>
+ : detail::envelope::envelope_range<Multi, Box>
+{};
+
+template
+<
+ typename Multi, typename Box,
+ typename StrategyLess, typename StrategyGreater
+>
+struct envelope<multi_linestring_tag, box_tag, Multi, Box, StrategyLess, StrategyGreater>
+ : detail::envelope::envelope_multi_linestring<Multi, Box>
+{};
+
+
+template
+<
+ typename Multi, typename Box,
+ typename StrategyLess, typename StrategyGreater
+>
+struct envelope<multi_polygon_tag, box_tag, Multi, Box, StrategyLess, StrategyGreater>
+ : detail::envelope::envelope_multi_polygon<Multi, Box>
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_ENVELOPE_HPP
diff --git a/boost/geometry/multi/algorithms/equals.hpp b/boost/geometry/multi/algorithms/equals.hpp
new file mode 100644
index 0000000000..a307ebae8b
--- /dev/null
+++ b/boost/geometry/multi/algorithms/equals.hpp
@@ -0,0 +1,70 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_EQUALS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_EQUALS_HPP
+
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/geometry_id.hpp>
+
+#include <boost/geometry/algorithms/equals.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename MultiPolygon1, typename MultiPolygon2>
+struct equals
+ <
+ multi_polygon_tag, multi_polygon_tag,
+ MultiPolygon1, MultiPolygon2,
+ 2
+ >
+ : detail::equals::equals_by_collection
+ <
+ MultiPolygon1, MultiPolygon2,
+ detail::equals::area_check
+ >
+{};
+
+
+template <typename Polygon, typename MultiPolygon>
+struct equals
+ <
+ polygon_tag, multi_polygon_tag,
+ Polygon, MultiPolygon,
+ 2
+ >
+ : detail::equals::equals_by_collection
+ <
+ Polygon, MultiPolygon,
+ detail::equals::area_check
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_EQUALS_HPP
+
diff --git a/boost/geometry/multi/algorithms/for_each.hpp b/boost/geometry/multi/algorithms/for_each.hpp
new file mode 100644
index 0000000000..1be38e0a7e
--- /dev/null
+++ b/boost/geometry/multi/algorithms/for_each.hpp
@@ -0,0 +1,129 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_FOR_EACH_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_FOR_EACH_HPP
+
+
+#include <boost/range.hpp>
+#include <boost/typeof/typeof.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+
+
+#include <boost/geometry/algorithms/for_each.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace for_each
+{
+
+// Implementation of multi, for both point and segment,
+// just calling the single version.
+template
+<
+ typename MultiGeometry,
+ typename Functor,
+ bool IsConst,
+ typename Policy
+>
+struct for_each_multi
+{
+ static inline Functor apply(
+ typename add_const_if_c<IsConst, MultiGeometry>::type& multi,
+ Functor f)
+ {
+ for(BOOST_AUTO_TPL(it, boost::begin(multi)); it != boost::end(multi); ++it)
+ {
+ f = Policy::apply(*it, f);
+ }
+ return f;
+ }
+};
+
+
+}} // namespace detail::for_each
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+ typename MultiGeometry,
+ typename Functor,
+ bool IsConst
+>
+struct for_each_point<multi_tag, MultiGeometry, Functor, IsConst>
+ : detail::for_each::for_each_multi
+ <
+ MultiGeometry,
+ Functor,
+ IsConst,
+ // Specify the dispatch of the single-version as policy
+ for_each_point
+ <
+ typename single_tag_of
+ <
+ typename tag<MultiGeometry>::type
+ >::type,
+ typename boost::range_value<MultiGeometry>::type,
+ Functor,
+ IsConst
+ >
+ >
+{};
+
+
+template
+<
+ typename MultiGeometry,
+ typename Functor,
+ bool IsConst
+>
+struct for_each_segment<multi_tag, MultiGeometry, Functor, IsConst>
+ : detail::for_each::for_each_multi
+ <
+ MultiGeometry,
+ Functor,
+ IsConst,
+ // Specify the dispatch of the single-version as policy
+ for_each_segment
+ <
+ typename single_tag_of
+ <
+ typename tag<MultiGeometry>::type
+ >::type,
+ typename boost::range_value<MultiGeometry>::type,
+ Functor,
+ IsConst
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_FOR_EACH_HPP
diff --git a/boost/geometry/multi/algorithms/intersection.hpp b/boost/geometry/multi/algorithms/intersection.hpp
new file mode 100644
index 0000000000..31e74a79ba
--- /dev/null
+++ b/boost/geometry/multi/algorithms/intersection.hpp
@@ -0,0 +1,438 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_MULTI_ALGORITHMS_INTERSECTION_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_INTERSECTION_HPP
+
+
+#include <boost/geometry/multi/core/closure.hpp>
+#include <boost/geometry/multi/core/geometry_id.hpp>
+#include <boost/geometry/multi/core/is_areal.hpp>
+#include <boost/geometry/multi/core/point_order.hpp>
+#include <boost/geometry/multi/algorithms/covered_by.hpp>
+#include <boost/geometry/multi/algorithms/envelope.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp>
+#include <boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp>
+#include <boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp>
+
+#include <boost/geometry/algorithms/intersection.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace intersection
+{
+
+
+template
+<
+ typename MultiLinestring1, typename MultiLinestring2,
+ typename OutputIterator, typename PointOut,
+ typename Strategy
+>
+struct intersection_multi_linestring_multi_linestring_point
+{
+ static inline OutputIterator apply(MultiLinestring1 const& ml1,
+ MultiLinestring2 const& ml2, OutputIterator out,
+ Strategy const& strategy)
+ {
+ // Note, this loop is quadratic w.r.t. number of linestrings per input.
+ // Future Enhancement: first do the sections of each, then intersect.
+ for (typename boost::range_iterator
+ <
+ MultiLinestring1 const
+ >::type it1 = boost::begin(ml1);
+ it1 != boost::end(ml1);
+ ++it1)
+ {
+ for (typename boost::range_iterator
+ <
+ MultiLinestring2 const
+ >::type it2 = boost::begin(ml2);
+ it2 != boost::end(ml2);
+ ++it2)
+ {
+ out = intersection_linestring_linestring_point
+ <
+ typename boost::range_value<MultiLinestring1>::type,
+ typename boost::range_value<MultiLinestring2>::type,
+ OutputIterator, PointOut, Strategy
+ >::apply(*it1, *it2, out, strategy);
+ }
+ }
+
+ return out;
+ }
+};
+
+
+template
+<
+ typename Linestring, typename MultiLinestring,
+ typename OutputIterator, typename PointOut,
+ typename Strategy
+>
+struct intersection_linestring_multi_linestring_point
+{
+ static inline OutputIterator apply(Linestring const& linestring,
+ MultiLinestring const& ml, OutputIterator out,
+ Strategy const& strategy)
+ {
+ for (typename boost::range_iterator
+ <
+ MultiLinestring const
+ >::type it = boost::begin(ml);
+ it != boost::end(ml);
+ ++it)
+ {
+ out = intersection_linestring_linestring_point
+ <
+ Linestring,
+ typename boost::range_value<MultiLinestring>::type,
+ OutputIterator, PointOut, Strategy
+ >::apply(linestring, *it, out, strategy);
+ }
+
+ return out;
+ }
+};
+
+
+// This loop is quite similar to the loop above, but beacuse the iterator
+// is second (above) or first (below) argument, it is not trivial to merge them.
+template
+<
+ typename MultiLinestring, typename Areal,
+ bool ReverseAreal,
+ typename OutputIterator, typename LineStringOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_of_multi_linestring_with_areal
+{
+ static inline OutputIterator apply(MultiLinestring const& ml, Areal const& areal,
+ OutputIterator out,
+ Strategy const& strategy)
+ {
+ for (typename boost::range_iterator
+ <
+ MultiLinestring const
+ >::type it = boost::begin(ml);
+ it != boost::end(ml);
+ ++it)
+ {
+ out = intersection_of_linestring_with_areal
+ <
+ typename boost::range_value<MultiLinestring>::type,
+ Areal, ReverseAreal,
+ OutputIterator, LineStringOut, OverlayType, Strategy
+ >::apply(*it, areal, out, strategy);
+ }
+
+ return out;
+
+ }
+};
+
+// This one calls the one above with reversed arguments
+template
+<
+ typename Areal, typename MultiLinestring,
+ bool ReverseAreal,
+ typename OutputIterator, typename LineStringOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_of_areal_with_multi_linestring
+{
+ static inline OutputIterator apply(Areal const& areal, MultiLinestring const& ml,
+ OutputIterator out,
+ Strategy const& strategy)
+ {
+ return intersection_of_multi_linestring_with_areal
+ <
+ MultiLinestring, Areal, ReverseAreal,
+ OutputIterator, LineStringOut,
+ OverlayType,
+ Strategy
+ >::apply(ml, areal, out, strategy);
+ }
+};
+
+
+
+template
+<
+ typename MultiLinestring, typename Box,
+ typename OutputIterator, typename LinestringOut,
+ typename Strategy
+>
+struct clip_multi_linestring
+{
+ static inline OutputIterator apply(MultiLinestring const& multi_linestring,
+ Box const& box, OutputIterator out, Strategy const& )
+ {
+ typedef typename point_type<LinestringOut>::type point_type;
+ strategy::intersection::liang_barsky<Box, point_type> lb_strategy;
+ for (typename boost::range_iterator<MultiLinestring const>::type it
+ = boost::begin(multi_linestring);
+ it != boost::end(multi_linestring); ++it)
+ {
+ out = detail::intersection::clip_range_with_box
+ <LinestringOut>(box, *it, out, lb_strategy);
+ }
+ return out;
+ }
+};
+
+
+}} // namespace detail::intersection
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+// Linear
+template
+<
+ typename MultiLinestring1, typename MultiLinestring2,
+ bool Reverse1, bool Reverse2, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ multi_linestring_tag, multi_linestring_tag, point_tag,
+ false, false, false,
+ MultiLinestring1, MultiLinestring2,
+ Reverse1, Reverse2, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_multi_linestring_multi_linestring_point
+ <
+ MultiLinestring1, MultiLinestring2,
+ OutputIterator, GeometryOut,
+ Strategy
+ >
+{};
+
+
+template
+<
+ typename Linestring, typename MultiLinestring,
+ typename OutputIterator, typename GeometryOut,
+ bool Reverse1, bool Reverse2, bool ReverseOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ linestring_tag, multi_linestring_tag, point_tag,
+ false, false, false,
+ Linestring, MultiLinestring,
+ Reverse1, Reverse2, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_linestring_multi_linestring_point
+ <
+ Linestring, MultiLinestring,
+ OutputIterator, GeometryOut,
+ Strategy
+ >
+{};
+
+
+template
+<
+ typename MultiLinestring, typename Box,
+ bool Reverse1, bool Reverse2, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ multi_linestring_tag, box_tag, linestring_tag,
+ false, true, false,
+ MultiLinestring, Box,
+ Reverse1, Reverse2, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::clip_multi_linestring
+ <
+ MultiLinestring, Box,
+ OutputIterator, GeometryOut,
+ Strategy
+ >
+{};
+
+
+template
+<
+ typename Linestring, typename MultiPolygon,
+ bool ReverseLinestring, bool ReverseMultiPolygon, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ linestring_tag, multi_polygon_tag, linestring_tag,
+ false, true, false,
+ Linestring, MultiPolygon,
+ ReverseLinestring, ReverseMultiPolygon, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_linestring_with_areal
+ <
+ Linestring, MultiPolygon,
+ ReverseMultiPolygon,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+
+// Derives from areal/mls because runtime arguments are in that order.
+// areal/mls reverses it itself to mls/areal
+template
+<
+ typename Polygon, typename MultiLinestring,
+ bool ReversePolygon, bool ReverseMultiLinestring, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ polygon_tag, multi_linestring_tag, linestring_tag,
+ true, false, false,
+ Polygon, MultiLinestring,
+ ReversePolygon, ReverseMultiLinestring, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_areal_with_multi_linestring
+ <
+ Polygon, MultiLinestring,
+ ReversePolygon,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+
+template
+<
+ typename MultiLinestring, typename Ring,
+ bool ReverseMultiLinestring, bool ReverseRing, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ multi_linestring_tag, ring_tag, linestring_tag,
+ false, true, false,
+ MultiLinestring, Ring,
+ ReverseMultiLinestring, ReverseRing, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_multi_linestring_with_areal
+ <
+ MultiLinestring, Ring,
+ ReverseRing,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+template
+<
+ typename MultiLinestring, typename Polygon,
+ bool ReverseMultiLinestring, bool ReverseRing, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ multi_linestring_tag, polygon_tag, linestring_tag,
+ false, true, false,
+ MultiLinestring, Polygon,
+ ReverseMultiLinestring, ReverseRing, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_multi_linestring_with_areal
+ <
+ MultiLinestring, Polygon,
+ ReverseRing,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+
+
+template
+<
+ typename MultiLinestring, typename MultiPolygon,
+ bool ReverseMultiLinestring, bool ReverseMultiPolygon, bool ReverseOut,
+ typename OutputIterator, typename GeometryOut,
+ overlay_type OverlayType,
+ typename Strategy
+>
+struct intersection_insert
+ <
+ multi_linestring_tag, multi_polygon_tag, linestring_tag,
+ false, true, false,
+ MultiLinestring, MultiPolygon,
+ ReverseMultiLinestring, ReverseMultiPolygon, ReverseOut,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ > : detail::intersection::intersection_of_multi_linestring_with_areal
+ <
+ MultiLinestring, MultiPolygon,
+ ReverseMultiPolygon,
+ OutputIterator, GeometryOut,
+ OverlayType,
+ Strategy
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_INTERSECTION_HPP
+
diff --git a/boost/geometry/multi/algorithms/length.hpp b/boost/geometry/multi/algorithms/length.hpp
new file mode 100644
index 0000000000..51ff9ef3c2
--- /dev/null
+++ b/boost/geometry/multi/algorithms/length.hpp
@@ -0,0 +1,57 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_LENGTH_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_LENGTH_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/length.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/algorithms/detail/multi_sum.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename MultiLinestring, typename Strategy>
+struct length<multi_linestring_tag, MultiLinestring, Strategy>
+ : detail::multi_sum
+ <
+ typename default_length_result<MultiLinestring>::type,
+ MultiLinestring,
+ Strategy,
+ detail::length::range_length
+ <
+ typename boost::range_value<MultiLinestring>::type,
+ Strategy,
+ closed // no need to close it explicitly
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_LENGTH_HPP
diff --git a/boost/geometry/multi/algorithms/num_geometries.hpp b/boost/geometry/multi/algorithms/num_geometries.hpp
new file mode 100644
index 0000000000..213339a18c
--- /dev/null
+++ b/boost/geometry/multi/algorithms/num_geometries.hpp
@@ -0,0 +1,51 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_NUM_GEOMETRIES_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_NUM_GEOMETRIES_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/num_geometries.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename MultiGeometry>
+struct num_geometries<multi_tag, MultiGeometry>
+{
+ static inline std::size_t apply(MultiGeometry const& multi_geometry)
+ {
+ return boost::size(multi_geometry);
+ }
+};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_NUM_GEOMETRIES_HPP
diff --git a/boost/geometry/multi/algorithms/num_interior_rings.hpp b/boost/geometry/multi/algorithms/num_interior_rings.hpp
new file mode 100644
index 0000000000..87b0bdea91
--- /dev/null
+++ b/boost/geometry/multi/algorithms/num_interior_rings.hpp
@@ -0,0 +1,61 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_NUM_INTERIOR_RINGS_HPP
+#define BOOST_GEOMETRY_MULTI_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/multi/core/tags.hpp>
+
+#include <boost/geometry/algorithms/num_interior_rings.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename MultiPolygon>
+struct num_interior_rings<multi_polygon_tag, MultiPolygon>
+{
+ static inline std::size_t apply(MultiPolygon const& multi_polygon)
+ {
+ std::size_t n = 0;
+ for (typename boost::range_iterator<MultiPolygon const>::type
+ it = boost::begin(multi_polygon);
+ it != boost::end(multi_polygon);
+ ++it)
+ {
+ n += geometry::num_interior_rings(*it);
+ }
+ return n;
+ }
+
+};
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_NUM_INTERIOR_RINGS_HPP
diff --git a/boost/geometry/multi/algorithms/num_points.hpp b/boost/geometry/multi/algorithms/num_points.hpp
new file mode 100644
index 0000000000..5ea53854eb
--- /dev/null
+++ b/boost/geometry/multi/algorithms/num_points.hpp
@@ -0,0 +1,81 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_NUM_POINTS_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_NUM_POINTS_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/algorithms/num_points.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace num_points
+{
+
+
+template <typename MultiGeometry>
+struct multi_count
+{
+ static inline size_t apply(MultiGeometry const& geometry, bool add_for_open)
+ {
+ typedef typename boost::range_value<MultiGeometry>::type geometry_type;
+ typedef typename boost::range_iterator
+ <
+ MultiGeometry const
+ >::type iterator_type;
+
+ std::size_t n = 0;
+ for (iterator_type it = boost::begin(geometry);
+ it != boost::end(geometry);
+ ++it)
+ {
+ n += dispatch::num_points
+ <
+ typename tag<geometry_type>::type,
+ geometry_type
+ >::apply(*it, add_for_open);
+ }
+ return n;
+ }
+};
+
+
+}} // namespace detail::num_points
+#endif
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Geometry>
+struct num_points<multi_tag, Geometry>
+ : detail::num_points::multi_count<Geometry> {};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_NUM_POINTS_HPP
diff --git a/boost/geometry/multi/algorithms/perimeter.hpp b/boost/geometry/multi/algorithms/perimeter.hpp
new file mode 100644
index 0000000000..147f6fcc30
--- /dev/null
+++ b/boost/geometry/multi/algorithms/perimeter.hpp
@@ -0,0 +1,56 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_PERIMETER_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_PERIMETER_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/perimeter.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/multi_sum.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+template <typename MultiPolygon, typename Strategy>
+struct perimeter<multi_polygon_tag, MultiPolygon, Strategy>
+ : detail::multi_sum
+ <
+ typename default_length_result<MultiPolygon>::type,
+ MultiPolygon,
+ Strategy,
+ perimeter
+ <
+ polygon_tag,
+ typename boost::range_value<MultiPolygon>::type,
+ Strategy
+ >
+ >
+{};
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_PERIMETER_HPP
diff --git a/boost/geometry/multi/algorithms/reverse.hpp b/boost/geometry/multi/algorithms/reverse.hpp
new file mode 100644
index 0000000000..f8a9442ac0
--- /dev/null
+++ b/boost/geometry/multi/algorithms/reverse.hpp
@@ -0,0 +1,69 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_REVERSE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_REVERSE_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/algorithms/reverse.hpp>
+#include <boost/geometry/multi/algorithms/detail/modify.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Geometry>
+struct reverse<multi_linestring_tag, Geometry>
+ : detail::multi_modify
+ <
+ Geometry,
+ detail::reverse::range_reverse
+ <
+ typename boost::range_value<Geometry>::type
+ >
+ >
+{};
+
+
+template <typename Geometry>
+struct reverse<multi_polygon_tag, Geometry>
+ : detail::multi_modify
+ <
+ Geometry,
+ detail::reverse::polygon_reverse
+ <
+ typename boost::range_value<Geometry>::type
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_REVERSE_HPP
diff --git a/boost/geometry/multi/algorithms/simplify.hpp b/boost/geometry/multi/algorithms/simplify.hpp
new file mode 100644
index 0000000000..dc3c7b5937
--- /dev/null
+++ b/boost/geometry/multi/algorithms/simplify.hpp
@@ -0,0 +1,117 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_SIMPLIFY_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_SIMPLIFY_HPP
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+#include <boost/geometry/multi/algorithms/clear.hpp>
+#include <boost/geometry/algorithms/simplify.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace simplify
+{
+
+template<typename MultiGeometry, typename Strategy, typename Policy>
+struct simplify_multi
+{
+ static inline void apply(MultiGeometry const& multi, MultiGeometry& out,
+ double max_distance, Strategy const& strategy)
+ {
+ traits::resize<MultiGeometry>::apply(out, boost::size(multi));
+
+ typename boost::range_iterator<MultiGeometry>::type it_out
+ = boost::begin(out);
+ for (typename boost::range_iterator<MultiGeometry const>::type it_in
+ = boost::begin(multi);
+ it_in != boost::end(multi);
+ ++it_in, ++it_out)
+ {
+ Policy::apply(*it_in, *it_out, max_distance, strategy);
+ }
+ }
+};
+
+
+
+}} // namespace detail::simplify
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename MultiPoint, typename Strategy>
+struct simplify<multi_point_tag, MultiPoint, Strategy>
+ : detail::simplify::simplify_copy
+ <
+ MultiPoint,
+ Strategy
+ >
+
+{};
+
+
+template <typename MultiLinestring, typename Strategy>
+struct simplify<multi_linestring_tag, MultiLinestring, Strategy>
+ : detail::simplify::simplify_multi
+ <
+ MultiLinestring,
+ Strategy,
+ detail::simplify::simplify_range
+ <
+ typename boost::range_value<MultiLinestring>::type,
+ Strategy,
+ 2
+ >
+ >
+
+{};
+
+
+template <typename MultiPolygon, typename Strategy>
+struct simplify<multi_polygon_tag, MultiPolygon, Strategy>
+ : detail::simplify::simplify_multi
+ <
+ MultiPolygon,
+ Strategy,
+ detail::simplify::simplify_polygon
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ Strategy
+ >
+ >
+
+{};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_SIMPLIFY_HPP
diff --git a/boost/geometry/multi/algorithms/transform.hpp b/boost/geometry/multi/algorithms/transform.hpp
new file mode 100644
index 0000000000..09926778f9
--- /dev/null
+++ b/boost/geometry/multi/algorithms/transform.hpp
@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_TRANSFORM_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_TRANSFORM_HPP
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/algorithms/transform.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace transform
+{
+
+/*!
+ \brief Is able to transform any multi-geometry, calling the single-version as policy
+*/
+template <typename Multi1, typename Multi2, typename Policy>
+struct transform_multi
+{
+ template <typename S>
+ static inline bool apply(Multi1 const& multi1, Multi2& multi2, S const& strategy)
+ {
+ traits::resize<Multi2>::apply(multi2, boost::size(multi1));
+
+ typename boost::range_iterator<Multi1 const>::type it1
+ = boost::begin(multi1);
+ typename boost::range_iterator<Multi2>::type it2
+ = boost::begin(multi2);
+
+ for (; it1 != boost::end(multi1); ++it1, ++it2)
+ {
+ if (! Policy::apply(*it1, *it2, strategy))
+ {
+ return false;
+ }
+ }
+
+ return true;
+ }
+};
+
+
+}} // namespace detail::transform
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Multi1, typename Multi2, typename Strategy>
+struct transform
+ <
+ multi_tag, multi_tag,
+ Multi1, Multi2,
+ Strategy
+ >
+ : detail::transform::transform_multi
+ <
+ Multi1,
+ Multi2,
+ transform
+ <
+ typename single_tag_of
+ <
+ typename tag<Multi1>::type
+ >::type,
+ typename single_tag_of
+ <
+ typename tag<Multi2>::type
+ >::type,
+ typename boost::range_value<Multi1>::type,
+ typename boost::range_value<Multi2>::type,
+ Strategy
+ >
+ >
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_TRANSFORM_HPP
diff --git a/boost/geometry/multi/algorithms/unique.hpp b/boost/geometry/multi/algorithms/unique.hpp
new file mode 100644
index 0000000000..5067e71f3f
--- /dev/null
+++ b/boost/geometry/multi/algorithms/unique.hpp
@@ -0,0 +1,102 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_UNIQUE_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_UNIQUE_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/unique.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace unique
+{
+
+
+template <typename MultiGeometry, typename ComparePolicy, typename Policy>
+struct multi_unique
+{
+ static inline void apply(MultiGeometry& multi, ComparePolicy const& compare)
+ {
+ for (typename boost::range_iterator<MultiGeometry>::type
+ it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ Policy::apply(*it, compare);
+ }
+ }
+};
+
+
+}} // namespace detail::unique
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+// For points, unique is not applicable and does nothing
+// (Note that it is not "spatially unique" but that it removes duplicate coordinates,
+// like std::unique does). Spatially unique is "dissolve" which can (or will be)
+// possible for multi-points as well, removing points at the same location.
+
+
+template <typename MultiLineString, typename ComparePolicy>
+struct unique<multi_linestring_tag, MultiLineString, ComparePolicy>
+ : detail::unique::multi_unique
+ <
+ MultiLineString,
+ ComparePolicy,
+ detail::unique::range_unique
+ <
+ typename boost::range_value<MultiLineString>::type,
+ ComparePolicy
+ >
+ >
+{};
+
+
+template <typename MultiPolygon, typename ComparePolicy>
+struct unique<multi_polygon_tag, MultiPolygon, ComparePolicy>
+ : detail::unique::multi_unique
+ <
+ MultiPolygon,
+ ComparePolicy,
+ detail::unique::polygon_unique
+ <
+ typename boost::range_value<MultiPolygon>::type,
+ ComparePolicy
+ >
+ >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_UNIQUE_HPP
diff --git a/boost/geometry/multi/algorithms/within.hpp b/boost/geometry/multi/algorithms/within.hpp
new file mode 100644
index 0000000000..a3ec7514b7
--- /dev/null
+++ b/boost/geometry/multi/algorithms/within.hpp
@@ -0,0 +1,104 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_ALGORITHMS_WITHIN_HPP
+#define BOOST_GEOMETRY_MULTI_ALGORITHMS_WITHIN_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/algorithms/within.hpp>
+#include <boost/geometry/multi/core/closure.hpp>
+#include <boost/geometry/multi/core/point_order.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace within
+{
+
+
+template
+<
+ typename Geometry,
+ typename MultiGeometry,
+ typename Strategy,
+ typename Policy
+>
+struct geometry_multi_within_code
+{
+ static inline int apply(Geometry const& geometry,
+ MultiGeometry const& multi,
+ Strategy const& strategy)
+ {
+ for (typename boost::range_iterator<MultiGeometry const>::type it
+ = boost::begin(multi);
+ it != boost::end(multi);
+ ++it)
+ {
+ // Geometry coding on multi: 1 (within) if within one of them;
+ // 0 (touch) if on border of one of them
+ int const code = Policy::apply(geometry, *it, strategy);
+ if (code != -1)
+ {
+ return code;
+ }
+ }
+ return -1;
+ }
+};
+
+
+}} // namespace detail::within
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Point, typename MultiPolygon>
+struct within<Point, MultiPolygon, point_tag, multi_polygon_tag>
+{
+ template <typename Strategy>
+ static inline bool apply(Point const& point,
+ MultiPolygon const& multi_polygon, Strategy const& strategy)
+ {
+ return detail::within::geometry_multi_within_code
+ <
+ Point,
+ MultiPolygon,
+ Strategy,
+ detail::within::point_in_polygon
+ <
+ Point,
+ typename boost::range_value<MultiPolygon>::type,
+ order_as_direction
+ <
+ geometry::point_order<MultiPolygon>::value
+ >::value,
+ geometry::closure<MultiPolygon>::value,
+ Strategy
+ >
+ >::apply(point, multi_polygon, strategy) == 1;
+ }
+};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_ALGORITHMS_WITHIN_HPP
diff --git a/boost/geometry/multi/core/closure.hpp b/boost/geometry/multi/core/closure.hpp
new file mode 100644
index 0000000000..3964db256c
--- /dev/null
+++ b/boost/geometry/multi/core/closure.hpp
@@ -0,0 +1,58 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_CLOSURE_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_CLOSURE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/range.hpp>
+#include <boost/type_traits/remove_const.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename Multi>
+struct closure<multi_point_tag, Multi> : public core_detail::closure::closed {};
+
+template <typename Multi>
+struct closure<multi_linestring_tag, Multi> : public core_detail::closure::closed {};
+
+// Specialization for polygon: the closure is the closure of its rings
+template <typename MultiPolygon>
+struct closure<multi_polygon_tag, MultiPolygon>
+{
+ static const closure_selector value = core_dispatch::closure
+ <
+ polygon_tag,
+ typename boost::range_value<MultiPolygon>::type
+ >::value ;
+};
+
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_CLOSURE_HPP
diff --git a/boost/geometry/multi/core/geometry_id.hpp b/boost/geometry/multi/core/geometry_id.hpp
new file mode 100644
index 0000000000..9d69cb20d9
--- /dev/null
+++ b/boost/geometry/multi/core/geometry_id.hpp
@@ -0,0 +1,56 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_GEOMETRY_ID_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_GEOMETRY_ID_HPP
+
+
+#include <boost/mpl/int.hpp>
+#include <boost/type_traits.hpp>
+
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/core/geometry_id.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <>
+struct geometry_id<multi_point_tag> : boost::mpl::int_<4> {};
+
+
+template <>
+struct geometry_id<multi_linestring_tag> : boost::mpl::int_<5> {};
+
+
+template <>
+struct geometry_id<multi_polygon_tag> : boost::mpl::int_<6> {};
+
+
+} // namespace core_dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_GEOMETRY_ID_HPP
diff --git a/boost/geometry/multi/core/interior_rings.hpp b/boost/geometry/multi/core/interior_rings.hpp
new file mode 100644
index 0000000000..5a200d486c
--- /dev/null
+++ b/boost/geometry/multi/core/interior_rings.hpp
@@ -0,0 +1,55 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_INTERIOR_RINGS_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_INTERIOR_RINGS_HPP
+
+
+#include <cstddef>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/interior_rings.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+
+template <typename MultiPolygon>
+struct interior_type<multi_polygon_tag, MultiPolygon>
+{
+ typedef typename core_dispatch::interior_type
+ <
+ polygon_tag,
+ typename boost::range_value<MultiPolygon>::type
+ >::type type;
+};
+
+
+} // namespace core_dispatch
+#endif
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_INTERIOR_RINGS_HPP
diff --git a/boost/geometry/multi/core/is_areal.hpp b/boost/geometry/multi/core/is_areal.hpp
new file mode 100644
index 0000000000..ad8daeb497
--- /dev/null
+++ b/boost/geometry/multi/core/is_areal.hpp
@@ -0,0 +1,43 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_IS_AREAL_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_IS_AREAL_HPP
+
+
+#include <boost/type_traits.hpp>
+
+
+#include <boost/geometry/core/is_areal.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <> struct is_areal<multi_polygon_tag> : boost::true_type {};
+
+} // namespace core_dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_IS_AREAL_HPP
diff --git a/boost/geometry/multi/core/point_order.hpp b/boost/geometry/multi/core/point_order.hpp
new file mode 100644
index 0000000000..6b08468e8c
--- /dev/null
+++ b/boost/geometry/multi/core/point_order.hpp
@@ -0,0 +1,57 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_POINT_ORDER_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_POINT_ORDER_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename Multi>
+struct point_order<multi_point_tag, Multi>
+ : public detail::point_order::clockwise {};
+
+template <typename Multi>
+struct point_order<multi_linestring_tag, Multi>
+ : public detail::point_order::clockwise {};
+
+
+// Specialization for multi_polygon: the order is the order of its polygons
+template <typename MultiPolygon>
+struct point_order<multi_polygon_tag, MultiPolygon>
+{
+ static const order_selector value = core_dispatch::point_order
+ <
+ polygon_tag,
+ typename boost::range_value<MultiPolygon>::type
+ >::value ;
+};
+
+} // namespace core_dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_POINT_ORDER_HPP
diff --git a/boost/geometry/multi/core/point_type.hpp b/boost/geometry/multi/core/point_type.hpp
new file mode 100644
index 0000000000..3c77e973b8
--- /dev/null
+++ b/boost/geometry/multi/core/point_type.hpp
@@ -0,0 +1,64 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_POINT_TYPE_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_POINT_TYPE_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename MultiPoint>
+struct point_type<multi_point_tag, MultiPoint>
+{
+ typedef typename boost::range_value<MultiPoint>::type type;
+};
+
+
+template <typename MultiLinestring>
+struct point_type<multi_linestring_tag, MultiLinestring>
+{
+ typedef typename point_type<linestring_tag,
+ typename boost::range_value<MultiLinestring>::type>::type type;
+};
+
+
+
+template <typename MultiPolygon>
+struct point_type<multi_polygon_tag, MultiPolygon>
+{
+ typedef typename point_type<polygon_tag,
+ typename boost::range_value<MultiPolygon>::type>::type type;
+};
+
+
+}
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_POINT_TYPE_HPP
diff --git a/boost/geometry/multi/core/ring_type.hpp b/boost/geometry/multi/core/ring_type.hpp
new file mode 100644
index 0000000000..faafaed021
--- /dev/null
+++ b/boost/geometry/multi/core/ring_type.hpp
@@ -0,0 +1,66 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_RING_TYPE_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_RING_TYPE_HPP
+
+
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <typename MultiPolygon>
+struct ring_return_type<multi_polygon_tag, MultiPolygon>
+{
+ typedef typename ring_return_type
+ <
+ polygon_tag,
+ typename mpl::if_
+ <
+ boost::is_const<MultiPolygon>,
+ typename boost::range_value<MultiPolygon>::type const,
+ typename boost::range_value<MultiPolygon>::type
+ >::type
+ >::type type;
+};
+
+
+template <typename MultiPolygon>
+struct ring_type<multi_polygon_tag, MultiPolygon>
+{
+ typedef typename boost::remove_reference
+ <
+ typename ring_return_type<multi_polygon_tag, MultiPolygon>::type
+ >::type type;
+};
+
+
+} // namespace core_dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_RING_TYPE_HPP
diff --git a/boost/geometry/multi/core/tags.hpp b/boost/geometry/multi/core/tags.hpp
new file mode 100644
index 0000000000..dcfca65b2f
--- /dev/null
+++ b/boost/geometry/multi/core/tags.hpp
@@ -0,0 +1,71 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_CORE_TAGS_HPP
+#define BOOST_GEOMETRY_MULTI_CORE_TAGS_HPP
+
+#include <boost/geometry/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+/// OGC Multi point identifying tag
+struct multi_point_tag : multi_tag, pointlike_tag {};
+
+/// OGC Multi linestring identifying tag
+struct multi_linestring_tag : multi_tag, linear_tag {};
+
+/// OGC Multi polygon identifying tag
+struct multi_polygon_tag : multi_tag, polygonal_tag {};
+
+/// OGC Geometry Collection identifying tag
+struct geometry_collection_tag : multi_tag {};
+
+
+
+
+/*!
+\brief Meta-function to get for a tag of a multi-geometry
+ the tag of the corresponding single-geometry
+*/
+template <typename Tag>
+struct single_tag_of
+{};
+
+#ifndef DOXYGEN_NO_DETAIL
+
+template <>
+struct single_tag_of<multi_point_tag>
+{
+ typedef point_tag type;
+};
+
+template <>
+struct single_tag_of<multi_linestring_tag>
+{
+ typedef linestring_tag type;
+};
+
+template <>
+struct single_tag_of<multi_polygon_tag>
+{
+ typedef polygon_tag type;
+};
+
+#endif
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_CORE_TAGS_HPP
diff --git a/boost/geometry/multi/core/topological_dimension.hpp b/boost/geometry/multi/core/topological_dimension.hpp
new file mode 100644
index 0000000000..55118f1c73
--- /dev/null
+++ b/boost/geometry/multi/core/topological_dimension.hpp
@@ -0,0 +1,52 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_TOPOLOGICAL_DIMENSION_HPP
+#define BOOST_GEOMETRY_MULTI_TOPOLOGICAL_DIMENSION_HPP
+
+
+#include <boost/mpl/int.hpp>
+
+
+#include <boost/geometry/core/topological_dimension.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace core_dispatch
+{
+
+template <>
+struct top_dim<multi_point_tag> : boost::mpl::int_<0> {};
+
+
+template <>
+struct top_dim<multi_linestring_tag> : boost::mpl::int_<1> {};
+
+
+template <>
+struct top_dim<multi_polygon_tag> : boost::mpl::int_<2> {};
+
+
+} // namespace core_dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif
diff --git a/boost/geometry/multi/geometries/concepts/check.hpp b/boost/geometry/multi/geometries/concepts/check.hpp
new file mode 100644
index 0000000000..18f4ff0c25
--- /dev/null
+++ b/boost/geometry/multi/geometries/concepts/check.hpp
@@ -0,0 +1,83 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_CONCEPTS_CHECK_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_CHECK_HPP
+
+
+
+#include <boost/type_traits/is_const.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/check.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_point_concept.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename Geometry>
+struct check<multi_point_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstMultiPoint<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<multi_point_tag, Geometry, false>
+ : detail::concept_check::check<concept::MultiPoint<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<multi_linestring_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstMultiLinestring<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<multi_linestring_tag, Geometry, false>
+ : detail::concept_check::check<concept::MultiLinestring<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<multi_polygon_tag, Geometry, true>
+ : detail::concept_check::check<concept::ConstMultiPolygon<Geometry> >
+{};
+
+
+template <typename Geometry>
+struct check<multi_polygon_tag, Geometry, false>
+ : detail::concept_check::check<concept::MultiPolygon<Geometry> >
+{};
+
+
+} // namespace dispatch
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_CHECK_HPP
diff --git a/boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp b/boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp
new file mode 100644
index 0000000000..b0519f07ee
--- /dev/null
+++ b/boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp
@@ -0,0 +1,86 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_CONCEPTS_MULTI_LINESTRING_CONCEPT_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_LINESTRING_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.hpp>
+#include <boost/range/metafunctions.hpp>
+
+
+#include <boost/geometry/geometries/concepts/linestring_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief multi-linestring concept
+\ingroup concepts
+\par Formal definition:
+The multi linestring concept is defined as following:
+- there must be a specialization of traits::tag defining multi_linestring_tag as
+ type
+- it must behave like a Boost.Range
+- its range value must fulfil the Linestring concept
+
+*/
+template <typename Geometry>
+class MultiLinestring
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type linestring_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Linestring<linestring_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(MultiLinestring)
+ {
+ }
+#endif
+};
+
+
+/*!
+\brief concept for multi-linestring (const version)
+\ingroup const_concepts
+*/
+template <typename Geometry>
+class ConstMultiLinestring
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type linestring_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstLinestring<linestring_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstMultiLinestring)
+ {
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_LINESTRING_CONCEPT_HPP
diff --git a/boost/geometry/multi/geometries/concepts/multi_point_concept.hpp b/boost/geometry/multi/geometries/concepts/multi_point_concept.hpp
new file mode 100644
index 0000000000..f5942df070
--- /dev/null
+++ b/boost/geometry/multi/geometries/concepts/multi_point_concept.hpp
@@ -0,0 +1,85 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_CONCEPTS_MULTI_POINT_CONCEPT_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_POINT_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.hpp>
+#include <boost/range/metafunctions.hpp>
+
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief MultiPoint concept
+\ingroup concepts
+\par Formal definition:
+The multi point concept is defined as following:
+- there must be a specialization of traits::tag defining multi_point_tag as type
+- it must behave like a Boost.Range
+- its range value must fulfil the Point concept
+
+*/
+template <typename Geometry>
+class MultiPoint
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(MultiPoint)
+ {
+ }
+#endif
+};
+
+
+/*!
+\brief concept for multi-point (const version)
+\ingroup const_concepts
+*/
+template <typename Geometry>
+class ConstMultiPoint
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type point_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<point_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstMultiPoint)
+ {
+ }
+#endif
+};
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_POINT_CONCEPT_HPP
diff --git a/boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp b/boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp
new file mode 100644
index 0000000000..ca730d4f6b
--- /dev/null
+++ b/boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp
@@ -0,0 +1,86 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_CONCEPTS_MULTI_POLYGON_CONCEPT_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_POLYGON_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/range/concepts.hpp>
+#include <boost/range/metafunctions.hpp>
+
+#include <boost/geometry/geometries/concepts/polygon_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief multi-polygon concept
+\ingroup concepts
+\par Formal definition:
+The multi polygon concept is defined as following:
+- there must be a specialization of traits::tag defining multi_polygon_tag
+ as type
+- it must behave like a Boost.Range
+- its range value must fulfil the Polygon concept
+
+*/
+template <typename Geometry>
+class MultiPolygon
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type polygon_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::Polygon<polygon_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(MultiPolygon)
+ {
+ }
+#endif
+};
+
+
+/*!
+\brief concept for multi-polygon (const version)
+\ingroup const_concepts
+*/
+template <typename Geometry>
+class ConstMultiPolygon
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+ typedef typename boost::range_value<Geometry>::type polygon_type;
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstPolygon<polygon_type>) );
+ BOOST_CONCEPT_ASSERT( (boost::RandomAccessRangeConcept<Geometry>) );
+
+
+public :
+
+ BOOST_CONCEPT_USAGE(ConstMultiPolygon)
+ {
+ }
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_CONCEPTS_MULTI_POLYGON_CONCEPT_HPP
diff --git a/boost/geometry/multi/geometries/multi_geometries.hpp b/boost/geometry/multi/geometries/multi_geometries.hpp
new file mode 100644
index 0000000000..90cf85a0f6
--- /dev/null
+++ b/boost/geometry/multi/geometries/multi_geometries.hpp
@@ -0,0 +1,21 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_MULTI_GEOMETRIES_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_GEOMETRIES_HPP
+
+#include <boost/geometry/multi/geometries/multi_point.hpp>
+#include <boost/geometry/multi/geometries/multi_linestring.hpp>
+#include <boost/geometry/multi/geometries/multi_polygon.hpp>
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_GEOMETRIES_HPP
diff --git a/boost/geometry/multi/geometries/multi_linestring.hpp b/boost/geometry/multi/geometries/multi_linestring.hpp
new file mode 100644
index 0000000000..67d4da06b7
--- /dev/null
+++ b/boost/geometry/multi/geometries/multi_linestring.hpp
@@ -0,0 +1,80 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_LINESTRING_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_LINESTRING_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/requires.hpp>
+
+#include <boost/geometry/geometries/concepts/linestring_concept.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace model
+{
+
+/*!
+\brief multi_line, a collection of linestring
+\details Multi-linestring can be used to group lines belonging to each other,
+ e.g. a highway (with interruptions)
+\ingroup geometries
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_multi_linestring MultiLineString Concept]
+}
+*/
+template
+<
+ typename LineString,
+ template<typename, typename> class Container = std::vector,
+ template<typename> class Allocator = std::allocator
+>
+class multi_linestring : public Container<LineString, Allocator<LineString> >
+{
+ BOOST_CONCEPT_ASSERT( (concept::Linestring<LineString>) );
+};
+
+
+} // namespace model
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename LineString,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct tag< model::multi_linestring<LineString, Container, Allocator> >
+{
+ typedef multi_linestring_tag type;
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_LINESTRING_HPP
diff --git a/boost/geometry/multi/geometries/multi_point.hpp b/boost/geometry/multi/geometries/multi_point.hpp
new file mode 100644
index 0000000000..002d8f8a4b
--- /dev/null
+++ b/boost/geometry/multi/geometries/multi_point.hpp
@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_MULTI_POINT_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_POINT_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/requires.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+
+/*!
+\brief multi_point, a collection of points
+\ingroup geometries
+\tparam Point \tparam_point
+\tparam Container \tparam_container
+\tparam Allocator \tparam_allocator
+\details Multipoint can be used to group points belonging to each other,
+ e.g. a constellation, or the result set of an intersection
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_multi_point MultiPoint Concept]
+}
+*/
+template
+<
+ typename Point,
+ template<typename, typename> class Container = std::vector,
+ template<typename> class Allocator = std::allocator
+>
+class multi_point : public Container<Point, Allocator<Point> >
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ typedef Container<Point, Allocator<Point> > base_type;
+
+public :
+ /// \constructor_default{multi_point}
+ inline multi_point()
+ : base_type()
+ {}
+
+ /// \constructor_begin_end{multi_point}
+ template <typename Iterator>
+ inline multi_point(Iterator begin, Iterator end)
+ : base_type(begin, end)
+ {}
+};
+
+} // namespace model
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename Point,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct tag< model::multi_point<Point, Container, Allocator> >
+{
+ typedef multi_point_tag type;
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_POINT_HPP
diff --git a/boost/geometry/multi/geometries/multi_polygon.hpp b/boost/geometry/multi/geometries/multi_polygon.hpp
new file mode 100644
index 0000000000..af8d042873
--- /dev/null
+++ b/boost/geometry/multi/geometries/multi_polygon.hpp
@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_MULTI_POLYGON_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_POLYGON_HPP
+
+#include <memory>
+#include <vector>
+
+#include <boost/concept/requires.hpp>
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+#include <boost/geometry/geometries/concepts/polygon_concept.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace model
+{
+
+/*!
+\brief multi_polygon, a collection of polygons
+\details Multi-polygon can be used to group polygons belonging to each other,
+ e.g. Hawaii
+\ingroup geometries
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_multi_polygon MultiPolygon Concept]
+}
+*/
+template
+<
+ typename Polygon,
+ template<typename, typename> class Container = std::vector,
+ template<typename> class Allocator = std::allocator
+>
+class multi_polygon : public Container<Polygon, Allocator<Polygon> >
+{
+ BOOST_CONCEPT_ASSERT( (concept::Polygon<Polygon>) );
+};
+
+
+} // namespace model
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+namespace traits
+{
+
+template
+<
+ typename Polygon,
+ template<typename, typename> class Container,
+ template<typename> class Allocator
+>
+struct tag< model::multi_polygon<Polygon, Container, Allocator> >
+{
+ typedef multi_polygon_tag type;
+};
+
+} // namespace traits
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_MULTI_POLYGON_HPP
diff --git a/boost/geometry/multi/geometries/register/multi_linestring.hpp b/boost/geometry/multi/geometries/register/multi_linestring.hpp
new file mode 100644
index 0000000000..5ececdb8e8
--- /dev/null
+++ b/boost/geometry/multi/geometries/register/multi_linestring.hpp
@@ -0,0 +1,59 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_REGISTER_MULTI_LINESTRING_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_LINESTRING_HPP
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+/*!
+\brief \brief_macro{multi_linestring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_LINESTRING, multi_linestring} The
+ multi_linestring may contain template parameters, which must be specified then.
+\param MultiLineString \param_macro_type{multi_linestring}
+
+\qbk{
+[heading Example]
+[register_multi_linestring]
+[register_multi_linestring_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_LINESTRING(MultiLineString) \
+namespace boost { namespace geometry { namespace traits { \
+ template<> struct tag<MultiLineString> { typedef multi_linestring_tag type; }; \
+}}}
+
+
+/*!
+\brief \brief_macro{templated multi_linestring}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_LINESTRING_TEMPLATED, templated multi_linestring}
+ \details_macro_templated{multi_linestring, linestring}
+\param MultiLineString \param_macro_type{multi_linestring (without template parameters)}
+
+\qbk{
+[heading Example]
+[register_multi_linestring_templated]
+[register_multi_linestring_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_LINESTRING_TEMPLATED(MultiLineString) \
+namespace boost { namespace geometry { namespace traits { \
+ template<typename LineString> struct tag< MultiLineString<LineString> > { typedef multi_linestring_tag type; }; \
+}}}
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_LINESTRING_HPP
diff --git a/boost/geometry/multi/geometries/register/multi_point.hpp b/boost/geometry/multi/geometries/register/multi_point.hpp
new file mode 100644
index 0000000000..813f54733d
--- /dev/null
+++ b/boost/geometry/multi/geometries/register/multi_point.hpp
@@ -0,0 +1,59 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_REGISTER_MULTI_POINT_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_POINT_HPP
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+/*!
+\brief \brief_macro{multi_point}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_POINT, multi_point} The
+ multi_point may contain template parameters, which must be specified then.
+\param MultiPoint \param_macro_type{multi_point}
+
+\qbk{
+[heading Example]
+[register_multi_point]
+[register_multi_point_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_POINT(MultiPoint) \
+namespace boost { namespace geometry { namespace traits { \
+ template<> struct tag<MultiPoint> { typedef multi_point_tag type; }; \
+}}}
+
+
+/*!
+\brief \brief_macro{templated multi_point}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_POINT_TEMPLATED, templated multi_point}
+ \details_macro_templated{multi_point, point}
+\param MultiPoint \param_macro_type{multi_point (without template parameters)}
+
+\qbk{
+[heading Example]
+[register_multi_point_templated]
+[register_multi_point_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_POINT_TEMPLATED(MultiPoint) \
+namespace boost { namespace geometry { namespace traits { \
+ template<typename Point> struct tag< MultiPoint<Point> > { typedef multi_point_tag type; }; \
+}}}
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_POINT_HPP
diff --git a/boost/geometry/multi/geometries/register/multi_polygon.hpp b/boost/geometry/multi/geometries/register/multi_polygon.hpp
new file mode 100644
index 0000000000..801b98cf24
--- /dev/null
+++ b/boost/geometry/multi/geometries/register/multi_polygon.hpp
@@ -0,0 +1,59 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_GEOMETRIES_REGISTER_MULTI_POLYGON_HPP
+#define BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_POLYGON_HPP
+
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+
+/*!
+\brief \brief_macro{multi_polygon}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_POLYGON, multi_polygon} The
+ multi_polygon may contain template parameters, which must be specified then.
+\param MultiPolygon \param_macro_type{multi_polygon}
+
+\qbk{
+[heading Example]
+[register_multi_polygon]
+[register_multi_polygon_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_POLYGON(MultiPolygon) \
+namespace boost { namespace geometry { namespace traits { \
+ template<> struct tag<MultiPolygon> { typedef multi_polygon_tag type; }; \
+}}}
+
+
+/*!
+\brief \brief_macro{templated multi_polygon}
+\ingroup register
+\details \details_macro{BOOST_GEOMETRY_REGISTER_MULTI_POLYGON_TEMPLATED, templated multi_polygon}
+ \details_macro_templated{multi_polygon, polygon}
+\param MultiPolygon \param_macro_type{multi_polygon (without template parameters)}
+
+\qbk{
+[heading Example]
+[register_multi_polygon_templated]
+[register_multi_polygon_templated_output]
+}
+*/
+#define BOOST_GEOMETRY_REGISTER_MULTI_POLYGON_TEMPLATED(MultiPolygon) \
+namespace boost { namespace geometry { namespace traits { \
+ template<typename Polygon> struct tag< MultiPolygon<Polygon> > { typedef multi_polygon_tag type; }; \
+}}}
+
+
+#endif // BOOST_GEOMETRY_MULTI_GEOMETRIES_REGISTER_MULTI_POLYGON_HPP
diff --git a/boost/geometry/multi/io/dsv/write.hpp b/boost/geometry/multi/io/dsv/write.hpp
new file mode 100644
index 0000000000..be40b5da5a
--- /dev/null
+++ b/boost/geometry/multi/io/dsv/write.hpp
@@ -0,0 +1,83 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_IO_DSV_WRITE_HPP
+#define BOOST_GEOMETRY_MULTI_IO_DSV_WRITE_HPP
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/io/dsv/write.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace dsv
+{
+
+template <typename MultiGeometry>
+struct dsv_multi
+{
+ typedef dispatch::dsv
+ <
+ typename single_tag_of
+ <
+ typename tag<MultiGeometry>::type
+ >::type,
+ typename boost::range_value<MultiGeometry>::type
+ > dispatch_one;
+
+ typedef typename boost::range_iterator
+ <
+ MultiGeometry const
+ >::type iterator;
+
+
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ MultiGeometry const& multi,
+ dsv_settings const& settings)
+ {
+ os << settings.list_open;
+
+ bool first = true;
+ for(iterator it = boost::begin(multi);
+ it != boost::end(multi);
+ ++it, first = false)
+ {
+ os << (first ? "" : settings.list_separator);
+ dispatch_one::apply(os, *it, settings);
+ }
+ os << settings.list_close;
+ }
+};
+
+}} // namespace detail::dsv
+#endif // DOXYGEN_NO_DETAIL
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Geometry>
+struct dsv<multi_tag, Geometry>
+ : detail::dsv::dsv_multi<Geometry>
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_IO_DSV_WRITE_HPP
diff --git a/boost/geometry/multi/io/wkt/detail/prefix.hpp b/boost/geometry/multi/io/wkt/detail/prefix.hpp
new file mode 100644
index 0000000000..37b07979ba
--- /dev/null
+++ b/boost/geometry/multi/io/wkt/detail/prefix.hpp
@@ -0,0 +1,51 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_IO_WKT_DETAIL_PREFIX_HPP
+#define BOOST_GEOMETRY_MULTI_IO_WKT_DETAIL_PREFIX_HPP
+
+#include <boost/geometry/multi/core/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace wkt
+{
+
+struct prefix_null
+{
+ static inline const char* apply() { return ""; }
+};
+
+struct prefix_multipoint
+{
+ static inline const char* apply() { return "MULTIPOINT"; }
+};
+
+struct prefix_multilinestring
+{
+ static inline const char* apply() { return "MULTILINESTRING"; }
+};
+
+struct prefix_multipolygon
+{
+ static inline const char* apply() { return "MULTIPOLYGON"; }
+};
+
+}} // namespace wkt::impl
+#endif
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_IO_WKT_DETAIL_PREFIX_HPP
diff --git a/boost/geometry/multi/io/wkt/read.hpp b/boost/geometry/multi/io/wkt/read.hpp
new file mode 100644
index 0000000000..3c75fd8040
--- /dev/null
+++ b/boost/geometry/multi/io/wkt/read.hpp
@@ -0,0 +1,105 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_IO_WKT_READ_MULTI_HPP
+#define BOOST_GEOMETRY_MULTI_IO_WKT_READ_MULTI_HPP
+
+#include <string>
+
+#include <boost/geometry/core/mutable_range.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+#include <boost/geometry/multi/io/wkt/detail/prefix.hpp>
+#include <boost/geometry/io/wkt/read.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace detail { namespace wkt
+{
+
+template <typename MultiGeometry, template<typename> class Parser, typename PrefixPolicy>
+struct multi_parser
+{
+ static inline void apply(std::string const& wkt, MultiGeometry& geometry)
+ {
+ traits::clear<MultiGeometry>::apply(geometry);
+
+ tokenizer tokens(wkt, boost::char_separator<char>(" ", ",()"));
+ tokenizer::iterator it;
+ if (initialize<MultiGeometry>(tokens, PrefixPolicy::apply(), wkt, it))
+ {
+ handle_open_parenthesis(it, tokens.end(), wkt);
+
+ // Parse sub-geometries
+ while(it != tokens.end() && *it != ")")
+ {
+ traits::resize<MultiGeometry>::apply(geometry, boost::size(geometry) + 1);
+ Parser
+ <
+ typename boost::range_value<MultiGeometry>::type
+ >::apply(it, tokens.end(), wkt, geometry.back());
+ if (it != tokens.end() && *it == ",")
+ {
+ // Skip "," after multi-element is parsed
+ ++it;
+ }
+ }
+
+ handle_close_parenthesis(it, tokens.end(), wkt);
+ }
+ }
+};
+
+}} // namespace detail::wkt
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename MultiGeometry>
+struct read_wkt<multi_point_tag, MultiGeometry>
+ : detail::wkt::multi_parser
+ <
+ MultiGeometry,
+ detail::wkt::point_parser,
+ detail::wkt::prefix_multipoint
+ >
+{};
+
+template <typename MultiGeometry>
+struct read_wkt<multi_linestring_tag, MultiGeometry>
+ : detail::wkt::multi_parser
+ <
+ MultiGeometry,
+ detail::wkt::linestring_parser,
+ detail::wkt::prefix_multilinestring
+ >
+{};
+
+template <typename MultiGeometry>
+struct read_wkt<multi_polygon_tag, MultiGeometry>
+ : detail::wkt::multi_parser
+ <
+ MultiGeometry,
+ detail::wkt::polygon_parser,
+ detail::wkt::prefix_multipolygon
+ >
+{};
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_IO_WKT_READ_MULTI_HPP
diff --git a/boost/geometry/multi/io/wkt/wkt.hpp b/boost/geometry/multi/io/wkt/wkt.hpp
new file mode 100644
index 0000000000..55f1713d4d
--- /dev/null
+++ b/boost/geometry/multi/io/wkt/wkt.hpp
@@ -0,0 +1,20 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_IO_WKT_WKT_HPP
+#define BOOST_GEOMETRY_MULTI_IO_WKT_WKT_HPP
+
+#include <boost/geometry/multi/io/wkt/read.hpp>
+#include <boost/geometry/multi/io/wkt/write.hpp>
+
+#endif // BOOST_GEOMETRY_MULTI_IO_WKT_WKT_HPP
diff --git a/boost/geometry/multi/io/wkt/write.hpp b/boost/geometry/multi/io/wkt/write.hpp
new file mode 100644
index 0000000000..374da28b53
--- /dev/null
+++ b/boost/geometry/multi/io/wkt/write.hpp
@@ -0,0 +1,108 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_IO_WKT_WRITE_HPP
+#define BOOST_GEOMETRY_MULTI_IO_WKT_WRITE_HPP
+
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/io/wkt/detail/prefix.hpp>
+#include <boost/geometry/io/wkt/write.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace wkt
+{
+
+template <typename Multi, typename StreamPolicy, typename PrefixPolicy>
+struct wkt_multi
+{
+ template <typename Char, typename Traits>
+ static inline void apply(std::basic_ostream<Char, Traits>& os,
+ Multi const& geometry)
+ {
+ os << PrefixPolicy::apply();
+ // TODO: check EMPTY here
+ os << "(";
+
+ for (typename boost::range_iterator<Multi const>::type
+ it = boost::begin(geometry);
+ it != boost::end(geometry);
+ ++it)
+ {
+ if (it != boost::begin(geometry))
+ {
+ os << ",";
+ }
+ StreamPolicy::apply(os, *it);
+ }
+
+ os << ")";
+ }
+};
+
+}} // namespace wkt::impl
+#endif
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename Multi>
+struct wkt<multi_point_tag, Multi>
+ : detail::wkt::wkt_multi
+ <
+ Multi,
+ detail::wkt::wkt_point
+ <
+ typename boost::range_value<Multi>::type,
+ detail::wkt::prefix_null
+ >,
+ detail::wkt::prefix_multipoint
+ >
+{};
+
+template <typename Multi>
+struct wkt<multi_linestring_tag, Multi>
+ : detail::wkt::wkt_multi
+ <
+ Multi,
+ detail::wkt::wkt_sequence
+ <
+ typename boost::range_value<Multi>::type
+ >,
+ detail::wkt::prefix_multilinestring
+ >
+{};
+
+template <typename Multi>
+struct wkt<multi_polygon_tag, Multi>
+ : detail::wkt::wkt_multi
+ <
+ Multi,
+ detail::wkt::wkt_poly
+ <
+ typename boost::range_value<Multi>::type,
+ detail::wkt::prefix_null
+ >,
+ detail::wkt::prefix_multipolygon
+ >
+{};
+
+} // namespace dispatch
+#endif
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_IO_WKT_WRITE_HPP
diff --git a/boost/geometry/multi/multi.hpp b/boost/geometry/multi/multi.hpp
new file mode 100644
index 0000000000..db33a9dd03
--- /dev/null
+++ b/boost/geometry/multi/multi.hpp
@@ -0,0 +1,77 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_HPP
+#define BOOST_GEOMETRY_MULTI_HPP
+
+
+#include <boost/geometry/multi/core/closure.hpp>
+#include <boost/geometry/multi/core/geometry_id.hpp>
+#include <boost/geometry/multi/core/interior_rings.hpp>
+#include <boost/geometry/multi/core/is_areal.hpp>
+#include <boost/geometry/multi/core/point_order.hpp>
+#include <boost/geometry/multi/core/point_type.hpp>
+#include <boost/geometry/multi/core/ring_type.hpp>
+#include <boost/geometry/multi/core/tags.hpp>
+#include <boost/geometry/multi/core/topological_dimension.hpp>
+
+#include <boost/geometry/multi/algorithms/append.hpp>
+#include <boost/geometry/multi/algorithms/area.hpp>
+#include <boost/geometry/multi/algorithms/centroid.hpp>
+#include <boost/geometry/multi/algorithms/clear.hpp>
+#include <boost/geometry/multi/algorithms/convert.hpp>
+#include <boost/geometry/multi/algorithms/correct.hpp>
+#include <boost/geometry/multi/algorithms/covered_by.hpp>
+#include <boost/geometry/multi/algorithms/distance.hpp>
+#include <boost/geometry/multi/algorithms/envelope.hpp>
+#include <boost/geometry/multi/algorithms/equals.hpp>
+#include <boost/geometry/multi/algorithms/for_each.hpp>
+#include <boost/geometry/multi/algorithms/intersection.hpp>
+#include <boost/geometry/multi/algorithms/length.hpp>
+#include <boost/geometry/multi/algorithms/num_geometries.hpp>
+#include <boost/geometry/multi/algorithms/num_interior_rings.hpp>
+#include <boost/geometry/multi/algorithms/num_points.hpp>
+#include <boost/geometry/multi/algorithms/perimeter.hpp>
+#include <boost/geometry/multi/algorithms/reverse.hpp>
+#include <boost/geometry/multi/algorithms/simplify.hpp>
+#include <boost/geometry/multi/algorithms/transform.hpp>
+#include <boost/geometry/multi/algorithms/unique.hpp>
+#include <boost/geometry/multi/algorithms/within.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/for_each_range.hpp>
+#include <boost/geometry/multi/algorithms/detail/modify_with_predicate.hpp>
+#include <boost/geometry/multi/algorithms/detail/multi_sum.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/sections/range_by_section.hpp>
+#include <boost/geometry/multi/algorithms/detail/sections/sectionalize.hpp>
+
+#include <boost/geometry/multi/algorithms/detail/overlay/copy_segment_point.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/copy_segments.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/get_ring.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/get_turns.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/select_rings.hpp>
+#include <boost/geometry/multi/algorithms/detail/overlay/self_turn_points.hpp>
+
+#include <boost/geometry/multi/geometries/concepts/check.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_point_concept.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_linestring_concept.hpp>
+#include <boost/geometry/multi/geometries/concepts/multi_polygon_concept.hpp>
+
+#include <boost/geometry/multi/views/detail/range_type.hpp>
+#include <boost/geometry/multi/strategies/cartesian/centroid_average.hpp>
+
+#include <boost/geometry/multi/io/dsv/write.hpp>
+#include <boost/geometry/multi/io/wkt/wkt.hpp>
+
+
+#endif // BOOST_GEOMETRY_MULTI_HPP
diff --git a/boost/geometry/multi/strategies/cartesian/centroid_average.hpp b/boost/geometry/multi/strategies/cartesian/centroid_average.hpp
new file mode 100644
index 0000000000..f28daf20bb
--- /dev/null
+++ b/boost/geometry/multi/strategies/cartesian/centroid_average.hpp
@@ -0,0 +1,116 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_STRATEGIES_CARTESIAN_CENTROID_AVERAGE_HPP
+#define BOOST_GEOMETRY_MULTI_STRATEGIES_CARTESIAN_CENTROID_AVERAGE_HPP
+
+
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/strategies/centroid.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace centroid
+{
+
+
+/*!
+\brief Centroid calculation taking average of points
+\ingroup strategies
+*/
+template
+<
+ typename PointCentroid,
+ typename Point = PointCentroid
+>
+class average
+{
+private :
+
+ /*! subclass to keep state */
+ class sum
+ {
+ friend class average;
+ int count;
+ PointCentroid centroid;
+
+ public :
+ inline sum()
+ : count(0)
+ {
+ assign_zero(centroid);
+ }
+ };
+
+public :
+ typedef sum state_type;
+ typedef PointCentroid centroid_point_type;
+ typedef Point point_type;
+
+ static inline void apply(Point const& p, sum& state)
+ {
+ add_point(state.centroid, p);
+ state.count++;
+ }
+
+ static inline void result(sum const& state, PointCentroid& centroid)
+ {
+ centroid = state.centroid;
+ divide_value(centroid, state.count);
+ }
+
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+namespace services
+{
+
+template <typename Point, std::size_t DimensionCount, typename Geometry>
+struct default_strategy
+<
+ cartesian_tag,
+ pointlike_tag,
+ DimensionCount,
+ Point,
+ Geometry
+>
+{
+ typedef average
+ <
+ Point,
+ typename point_type<Geometry>::type
+ > type;
+};
+
+} // namespace services
+
+#endif
+
+
+}} // namespace strategy::centroid
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_MULTI_STRATEGIES_CARTESIAN_CENTROID_AVERAGE_HPP
diff --git a/boost/geometry/multi/views/detail/range_type.hpp b/boost/geometry/multi/views/detail/range_type.hpp
new file mode 100644
index 0000000000..172feb251f
--- /dev/null
+++ b/boost/geometry/multi/views/detail/range_type.hpp
@@ -0,0 +1,62 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_MULTI_VIEWS_DETAIL_RANGE_TYPE_HPP
+#define BOOST_GEOMETRY_MULTI_VIEWS_DETAIL_RANGE_TYPE_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/views/detail/range_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+// multi-point acts itself as a range
+template <typename Geometry>
+struct range_type<multi_point_tag, Geometry>
+{
+ typedef Geometry type;
+};
+
+
+template <typename Geometry>
+struct range_type<multi_linestring_tag, Geometry>
+{
+ typedef typename boost::range_value<Geometry>::type type;
+};
+
+
+template <typename Geometry>
+struct range_type<multi_polygon_tag, Geometry>
+{
+ // Call its single-version
+ typedef typename geometry::detail::range_type
+ <
+ typename boost::range_value<Geometry>::type
+ >::type type;
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_MULTI_VIEWS_DETAIL_RANGE_TYPE_HPP
diff --git a/boost/geometry/policies/compare.hpp b/boost/geometry/policies/compare.hpp
new file mode 100644
index 0000000000..2e952d3e15
--- /dev/null
+++ b/boost/geometry/policies/compare.hpp
@@ -0,0 +1,242 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_POLICIES_COMPARE_HPP
+#define BOOST_GEOMETRY_POLICIES_COMPARE_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/strategies/compare.hpp>
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace compare
+{
+
+
+template
+<
+ int Direction,
+ typename Point,
+ typename Strategy,
+ std::size_t Dimension,
+ std::size_t DimensionCount
+>
+struct compare_loop
+{
+ typedef typename strategy::compare::detail::select_strategy
+ <
+ Strategy, Direction, Point, Dimension
+ >::type compare_type;
+
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ static inline bool apply(Point const& left, Point const& right)
+ {
+ coordinate_type const& cleft = geometry::get<Dimension>(left);
+ coordinate_type const& cright = geometry::get<Dimension>(right);
+
+ if (geometry::math::equals(cleft, cright))
+ {
+ return compare_loop
+ <
+ Direction, Point, Strategy,
+ Dimension + 1, DimensionCount
+ >::apply(left, right);
+ }
+ else
+ {
+ compare_type compare;
+ return compare(cleft, cright);
+ }
+ }
+};
+
+template
+<
+ int Direction,
+ typename Point,
+ typename Strategy,
+ std::size_t DimensionCount
+>
+struct compare_loop<Direction, Point, Strategy, DimensionCount, DimensionCount>
+{
+ static inline bool apply(Point const&, Point const&)
+ {
+ // On coming here, points are equal. Return true if
+ // direction = 0 (equal), false if -1/1 (greater/less)
+ return Direction == 0;
+ }
+};
+
+
+template <int Direction, typename Point, typename Strategy>
+struct compare_in_all_dimensions
+{
+ inline bool operator()(Point const& left, Point const& right) const
+ {
+ return detail::compare::compare_loop
+ <
+ Direction, Point, Strategy,
+ 0, geometry::dimension<Point>::type::value
+ >::apply(left, right);
+ }
+};
+
+
+template <typename Point, typename Strategy, std::size_t Dimension>
+class compare_in_one_dimension
+{
+ Strategy compare;
+
+public :
+ inline bool operator()(Point const& left, Point const& right) const
+ {
+ typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+
+ coordinate_type const& cleft = get<Dimension>(left);
+ coordinate_type const& cright = get<Dimension>(right);
+ return compare(cleft, cright);
+ }
+};
+
+}} // namespace detail::compare
+
+#endif
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template
+<
+ int Direction,
+ typename Point,
+ typename Strategy,
+ int Dimension
+>
+struct compare_geometries
+ : detail::compare::compare_in_one_dimension
+ <
+ Point,
+ typename strategy::compare::detail::select_strategy
+ <
+ Strategy, Direction, Point, Dimension
+ >::type,
+ Dimension
+ >
+{};
+
+
+// Specialization with -1: compare in all dimensions
+template <int Direction, typename Point, typename Strategy>
+struct compare_geometries<Direction, Point, Strategy, -1>
+ : detail::compare::compare_in_all_dimensions<Direction, Point, Strategy>
+{};
+
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+
+/*!
+\brief Less functor, to sort points in ascending order.
+\ingroup compare
+\details This functor compares points and orders them on x,
+ then on y, then on z coordinate.
+\tparam Geometry the geometry
+\tparam Dimension the dimension to sort on, defaults to -1,
+ indicating ALL dimensions. That's to say, first on x,
+ on equal x-es then on y, etc.
+ If a dimension is specified, only that dimension is considered
+\tparam Strategy underlying coordinate comparing functor,
+ defaults to the default comparison strategies
+ related to the point coordinate system. If specified, the specified
+ strategy is used. This can e.g. be std::less<double>.
+*/
+template
+<
+ typename Point,
+ int Dimension = -1,
+ typename Strategy = strategy::compare::default_strategy
+>
+struct less
+ : dispatch::compare_geometries
+ <
+ 1, // indicates ascending
+ Point,
+ Strategy,
+ Dimension
+ >
+{
+ typedef Point first_argument_type;
+ typedef Point second_argument_type;
+ typedef bool result_type;
+};
+
+
+/*!
+\brief Greater functor
+\ingroup compare
+\details Can be used to sort points in reverse order
+\see Less functor
+*/
+template
+<
+ typename Point,
+ int Dimension = -1,
+ typename Strategy = strategy::compare::default_strategy
+>
+struct greater
+ : dispatch::compare_geometries
+ <
+ -1, // indicates descending
+ Point,
+ Strategy,
+ Dimension
+ >
+{};
+
+
+/*!
+\brief Equal To functor, to compare if points are equal
+\ingroup compare
+\tparam Geometry the geometry
+\tparam Dimension the dimension to compare on, defaults to -1,
+ indicating ALL dimensions.
+ If a dimension is specified, only that dimension is considered
+\tparam Strategy underlying coordinate comparing functor
+*/
+template
+<
+ typename Point,
+ int Dimension = -1,
+ typename Strategy = strategy::compare::default_strategy
+>
+struct equal_to
+ : dispatch::compare_geometries
+ <
+ 0,
+ Point,
+ Strategy,
+ Dimension
+ >
+{};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_POLICIES_COMPARE_HPP
diff --git a/boost/geometry/policies/relate/de9im.hpp b/boost/geometry/policies/relate/de9im.hpp
new file mode 100644
index 0000000000..766d80b220
--- /dev/null
+++ b/boost/geometry/policies/relate/de9im.hpp
@@ -0,0 +1,177 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_GEOMETRY_POLICIES_RELATE_DE9IM_HPP
+#define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DE9IM_HPP
+
+
+#include <boost/geometry/strategies/intersection_result.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace policies { namespace relate
+{
+
+
+template <typename S1, typename S2>
+struct segments_de9im
+{
+ typedef de9im_segment return_type;
+ typedef S1 segment_type1;
+ typedef S2 segment_type2;
+ typedef typename select_coordinate_type<S1, S2>::type coordinate_type;
+
+ static inline return_type rays_intersect(bool on_segment,
+ double ra, double rb,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ coordinate_type const& dx2, coordinate_type const& dy2,
+ coordinate_type const& wx, coordinate_type const& wy,
+ S1 const& s1, S2 const& s2)
+ {
+ if(on_segment)
+ {
+ // 0 <= ra <= 1 and 0 <= rb <= 1
+ // Now check if one of them is 0 or 1, these are "touch" cases
+ bool a = math::equals(ra, 0.0) || math::equals(ra, 1.0);
+ bool b = math::equals(rb, 0.0) || math::equals(rb, 1.0);
+ if (a && b)
+ {
+ // Touch boundary/boundary: i-i == -1, i-b == -1, b-b == 0
+ // Opposite: if both are equal they touch in opposite direction
+ return de9im_segment(ra,rb,
+ -1, -1, 1,
+ -1, 0, 0,
+ 1, 0, 2, false, math::equals(ra,rb));
+ }
+ else if (a || b)
+ {
+ // Touch boundary/interior: i-i == -1, i-b == -1 or 0, b-b == -1
+ int A = a ? 0 : -1;
+ int B = b ? 0 : -1;
+ return de9im_segment(ra,rb,
+ -1, B, 1,
+ A, -1, 0,
+ 1, 0, 2);
+ }
+
+ // Intersects: i-i == 0, i-b == -1, i-e == 1
+ return de9im_segment(ra,rb,
+ 0, -1, 1,
+ -1, -1, 0,
+ 1, 0, 2);
+ }
+
+ // Not on segment, disjoint
+ return de9im_segment(ra,rb,
+ -1, -1, 1,
+ -1, -1, 0,
+ 1, 0, 2);
+ }
+
+ static inline return_type collinear_touch(coordinate_type const& x,
+ coordinate_type const& y, bool opposite, char)
+ {
+ return de9im_segment(0,0,
+ -1, -1, 1,
+ -1, 0, 0,
+ 1, 0, 2,
+ true, opposite);
+ }
+
+ template <typename S>
+ static inline return_type collinear_interior_boundary_intersect(S const& s,
+ bool a_within_b, bool opposite)
+ {
+ return a_within_b
+ ? de9im_segment(0,0,
+ 1, -1, -1,
+ 0, 0, -1,
+ 1, 0, 2,
+ true, opposite)
+ : de9im_segment(0,0,
+ 1, 0, 1,
+ -1, 0, 0,
+ -1, -1, 2,
+ true, opposite);
+ }
+
+
+
+ static inline return_type collinear_a_in_b(S1 const& s, bool opposite)
+ {
+ return de9im_segment(0,0,
+ 1, -1, -1,
+ 0, -1, -1,
+ 1, 0, 2,
+ true, opposite);
+ }
+ static inline return_type collinear_b_in_a(S2 const& s, bool opposite)
+ {
+ return de9im_segment(0,0,
+ 1, 0, 1,
+ -1, -1, 0,
+ -1, -1, 2,
+ true, opposite);
+ }
+
+ static inline return_type collinear_overlaps(
+ coordinate_type const& x1, coordinate_type const& y1,
+ coordinate_type const& x2, coordinate_type const& y2, bool opposite)
+ {
+ return de9im_segment(0,0,
+ 1, 0, 1,
+ 0, -1, 0,
+ 1, 0, 2,
+ true, opposite);
+ }
+
+ static inline return_type segment_equal(S1 const& s, bool opposite)
+ {
+ return de9im_segment(0,0,
+ 1, -1, -1,
+ -1, 0, -1,
+ -1, -1, 2,
+ true, opposite);
+ }
+
+ static inline return_type degenerate(S1 const& segment, bool a_degenerate)
+ {
+ return a_degenerate
+ ? de9im_segment(0,0,
+ 0, -1, -1,
+ -1, -1, -1,
+ 1, 0, 2,
+ false, false, false, true)
+ : de9im_segment(0,0,
+ 0, -1, 1,
+ -1, -1, 0,
+ -1, -1, 2,
+ false, false, false, true);
+ }
+
+ static inline return_type collinear_disjoint()
+ {
+ return de9im_segment(0,0,
+ -1, -1, 1,
+ -1, -1, 0,
+ 1, 0, 2,
+ true);
+ }
+
+};
+
+
+}} // namespace policies::relate
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DE9IM_HPP
diff --git a/boost/geometry/policies/relate/direction.hpp b/boost/geometry/policies/relate/direction.hpp
new file mode 100644
index 0000000000..9090d8b51e
--- /dev/null
+++ b/boost/geometry/policies/relate/direction.hpp
@@ -0,0 +1,360 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
+#define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
+
+
+#include <cstddef>
+#include <string>
+
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/strategies/side_info.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace policies { namespace relate
+{
+
+struct direction_type
+{
+ // NOTE: "char" will be replaced by enum in future version
+
+ inline direction_type(side_info const& s, char h,
+ int ha, int hb,
+ int da = 0, int db = 0,
+ bool op = false)
+ : how(h)
+ , opposite(op)
+ , how_a(ha)
+ , how_b(hb)
+ , dir_a(da)
+ , dir_b(db)
+ , sides(s)
+ {
+ arrival[0] = ha;
+ arrival[1] = hb;
+ }
+
+ inline direction_type(char h, bool op, int ha = 0, int hb = 0)
+ : how(h)
+ , opposite(op)
+ , how_a(ha)
+ , how_b(hb)
+ , dir_a(0)
+ , dir_b(0)
+ {
+ arrival[0] = ha;
+ arrival[1] = hb;
+ }
+
+
+ // TODO: replace this
+ // NOTE: "char" will be replaced by enum in future version
+ // "How" is the intersection formed?
+ char how;
+
+ // Is it opposite (for collinear/equal cases)
+ bool opposite;
+
+ // Information on how A arrives at intersection, how B arrives at intersection
+ // 1: arrives at intersection
+ // -1: starts from intersection
+ int how_a;
+ int how_b;
+
+ // Direction: how is A positioned from B
+ // 1: points left, seen from IP
+ // -1: points right, seen from IP
+ // In case of intersection: B's TO direction
+ // In case that B's TO direction is at A: B's from direction
+ // In collinear cases: it is 0
+ int dir_a; // Direction of A-s TO from IP
+ int dir_b; // Direction of B-s TO from IP
+
+ // New information
+ side_info sides;
+ int arrival[2]; // 1=arrival, -1departure, 0=neutral; == how_a//how_b
+
+
+ // About arrival[0] (== arrival of a2 w.r.t. b) for COLLINEAR cases
+ // Arrival 1: a1--------->a2 (a arrives within b)
+ // b1----->b2
+
+ // Arrival 1: (a in b)
+ //
+
+
+ // Arrival -1: a1--------->a2 (a does not arrive within b)
+ // b1----->b2
+
+ // Arrival -1: (b in a) a_1-------------a_2
+ // b_1---b_2
+
+ // Arrival 0: a1------->a2 (a arrives at TO-border of b)
+ // b1--->b2
+
+};
+
+
+template <typename S1, typename S2, typename CalculationType = void>
+struct segments_direction
+{
+ typedef direction_type return_type;
+ typedef S1 segment_type1;
+ typedef S2 segment_type2;
+ typedef typename select_calculation_type
+ <
+ S1, S2, CalculationType
+ >::type coordinate_type;
+
+ // Get the same type, but at least a double
+ typedef typename select_most_precise<coordinate_type, double>::type rtype;
+
+
+ static inline return_type segments_intersect(side_info const& sides,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ coordinate_type const& dx2, coordinate_type const& dy2,
+ S1 const& s1, S2 const& s2)
+ {
+ bool const ra0 = sides.get<0,0>() == 0;
+ bool const ra1 = sides.get<0,1>() == 0;
+ bool const rb0 = sides.get<1,0>() == 0;
+ bool const rb1 = sides.get<1,1>() == 0;
+
+ return
+ // opposite and same starting point (FROM)
+ ra0 && rb0 ? calculate_side<1>(sides, dx1, dy1, s1, s2, 'f', -1, -1)
+
+ // opposite and point to each other (TO)
+ : ra1 && rb1 ? calculate_side<0>(sides, dx1, dy1, s1, s2, 't', 1, 1)
+
+ // not opposite, forming an angle, first a then b,
+ // directed either both left, or both right
+ // Check side of B2 from A. This is not calculated before
+ : ra1 && rb0 ? angle<1>(sides, dx1, dy1, s1, s2, 'a', 1, -1)
+
+ // not opposite, forming a angle, first b then a,
+ // directed either both left, or both right
+ : ra0 && rb1 ? angle<0>(sides, dx1, dy1, s1, s2, 'a', -1, 1)
+
+ // b starts from interior of a
+ : rb0 ? starts_from_middle(sides, dx1, dy1, s1, s2, 'B', 0, -1)
+
+ // a starts from interior of b (#39)
+ : ra0 ? starts_from_middle(sides, dx1, dy1, s1, s2, 'A', -1, 0)
+
+ // b ends at interior of a, calculate direction of A from IP
+ : rb1 ? b_ends_at_middle(sides, dx2, dy2, s1, s2)
+
+ // a ends at interior of b
+ : ra1 ? a_ends_at_middle(sides, dx1, dy1, s1, s2)
+
+ // normal intersection
+ : calculate_side<1>(sides, dx1, dy1, s1, s2, 'i', -1, -1)
+ ;
+ }
+
+ static inline return_type collinear_touch(
+ coordinate_type const& ,
+ coordinate_type const& , int arrival_a, int arrival_b)
+ {
+ // Though this is 'collinear', we handle it as To/From/Angle because it is the same.
+ // It only does NOT have a direction.
+ side_info sides;
+ //int const arrive = how == 'T' ? 1 : -1;
+ bool opposite = arrival_a == arrival_b;
+ return
+ ! opposite
+ ? return_type(sides, 'a', arrival_a, arrival_b)
+ : return_type(sides, arrival_a == 0 ? 't' : 'f', arrival_a, arrival_b, 0, 0, true);
+ }
+
+ template <typename S>
+ static inline return_type collinear_interior_boundary_intersect(S const& , bool,
+ int arrival_a, int arrival_b, bool opposite)
+ {
+ return_type r('c', opposite);
+ r.arrival[0] = arrival_a;
+ r.arrival[1] = arrival_b;
+ return r;
+ }
+
+ static inline return_type collinear_a_in_b(S1 const& , bool opposite)
+ {
+ return_type r('c', opposite);
+ r.arrival[0] = 1;
+ r.arrival[1] = -1;
+ return r;
+ }
+ static inline return_type collinear_b_in_a(S2 const& , bool opposite)
+ {
+ return_type r('c', opposite);
+ r.arrival[0] = -1;
+ r.arrival[1] = 1;
+ return r;
+ }
+
+ static inline return_type collinear_overlaps(
+ coordinate_type const& , coordinate_type const& ,
+ coordinate_type const& , coordinate_type const& ,
+ int arrival_a, int arrival_b, bool opposite)
+ {
+ return_type r('c', opposite);
+ r.arrival[0] = arrival_a;
+ r.arrival[1] = arrival_b;
+ return r;
+ }
+
+ static inline return_type segment_equal(S1 const& , bool opposite)
+ {
+ return return_type('e', opposite);
+ }
+
+ static inline return_type degenerate(S1 const& , bool)
+ {
+ return return_type('0', false);
+ }
+
+ static inline return_type disjoint()
+ {
+ return return_type('d', false);
+ }
+
+ static inline return_type collinear_disjoint()
+ {
+ return return_type('d', false);
+ }
+
+ static inline return_type error(std::string const&)
+ {
+ // Return "E" to denote error
+ // This will throw an error in get_turn_info
+ // TODO: change to enum or similar
+ return return_type('E', false);
+ }
+
+private :
+
+ static inline bool is_left
+ (
+ coordinate_type const& ux,
+ coordinate_type const& uy,
+ coordinate_type const& vx,
+ coordinate_type const& vy
+ )
+ {
+ // This is a "side calculation" as in the strategies, but here terms are precalculated
+ // We might merge this with side, offering a pre-calculated term (in fact already done using cross-product)
+ // Waiting for implementing spherical...
+
+ rtype const zero = rtype();
+ return geometry::detail::determinant<rtype>(ux, uy, vx, vy) > zero;
+ }
+
+ template <std::size_t I>
+ static inline return_type calculate_side(side_info const& sides,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ S1 const& s1, S2 const& s2,
+ char how, int how_a, int how_b)
+ {
+ coordinate_type dpx = get<I, 0>(s2) - get<0, 0>(s1);
+ coordinate_type dpy = get<I, 1>(s2) - get<0, 1>(s1);
+
+ return is_left(dx1, dy1, dpx, dpy)
+ ? return_type(sides, how, how_a, how_b, -1, 1)
+ : return_type(sides, how, how_a, how_b, 1, -1);
+ }
+
+ template <std::size_t I>
+ static inline return_type angle(side_info const& sides,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ S1 const& s1, S2 const& s2,
+ char how, int how_a, int how_b)
+ {
+ coordinate_type dpx = get<I, 0>(s2) - get<0, 0>(s1);
+ coordinate_type dpy = get<I, 1>(s2) - get<0, 1>(s1);
+
+ return is_left(dx1, dy1, dpx, dpy)
+ ? return_type(sides, how, how_a, how_b, 1, 1)
+ : return_type(sides, how, how_a, how_b, -1, -1);
+ }
+
+
+ static inline return_type starts_from_middle(side_info const& sides,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ S1 const& s1, S2 const& s2,
+ char which,
+ int how_a, int how_b)
+ {
+ // Calculate ARROW of b segment w.r.t. s1
+ coordinate_type dpx = get<1, 0>(s2) - get<0, 0>(s1);
+ coordinate_type dpy = get<1, 1>(s2) - get<0, 1>(s1);
+
+ int dir = is_left(dx1, dy1, dpx, dpy) ? 1 : -1;
+
+ // From other perspective, then reverse
+ bool const is_a = which == 'A';
+ if (is_a)
+ {
+ dir = -dir;
+ }
+
+ return return_type(sides, 's',
+ how_a,
+ how_b,
+ is_a ? dir : -dir,
+ ! is_a ? dir : -dir);
+ }
+
+
+
+ // To be harmonized
+ static inline return_type a_ends_at_middle(side_info const& sides,
+ coordinate_type const& dx, coordinate_type const& dy,
+ S1 const& s1, S2 const& s2)
+ {
+ coordinate_type dpx = get<1, 0>(s2) - get<0, 0>(s1);
+ coordinate_type dpy = get<1, 1>(s2) - get<0, 1>(s1);
+
+ // Ending at the middle, one ARRIVES, the other one is NEUTRAL
+ // (because it both "arrives" and "departs" there
+ return is_left(dx, dy, dpx, dpy)
+ ? return_type(sides, 'm', 1, 0, 1, 1)
+ : return_type(sides, 'm', 1, 0, -1, -1);
+ }
+
+
+ static inline return_type b_ends_at_middle(side_info const& sides,
+ coordinate_type const& dx, coordinate_type const& dy,
+ S1 const& s1, S2 const& s2)
+ {
+ coordinate_type dpx = get<1, 0>(s1) - get<0, 0>(s2);
+ coordinate_type dpy = get<1, 1>(s1) - get<0, 1>(s2);
+
+ return is_left(dx, dy, dpx, dpy)
+ ? return_type(sides, 'm', 0, 1, 1, 1)
+ : return_type(sides, 'm', 0, 1, -1, -1);
+ }
+
+};
+
+}} // namespace policies::relate
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
diff --git a/boost/geometry/policies/relate/intersection_points.hpp b/boost/geometry/policies/relate/intersection_points.hpp
new file mode 100644
index 0000000000..afd1dde501
--- /dev/null
+++ b/boost/geometry/policies/relate/intersection_points.hpp
@@ -0,0 +1,188 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_GEOMETRY_POLICIES_RELATE_INTERSECTION_POINTS_HPP
+#define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_INTERSECTION_POINTS_HPP
+
+
+#include <algorithm>
+#include <string>
+
+#include <boost/concept_check.hpp>
+#include <boost/numeric/conversion/cast.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/strategies/side_info.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace policies { namespace relate
+{
+
+
+template <typename S1, typename S2, typename ReturnType, typename CalculationType = void>
+struct segments_intersection_points
+{
+ typedef ReturnType return_type;
+ typedef S1 segment_type1;
+ typedef S2 segment_type2;
+ typedef typename select_calculation_type
+ <
+ S1, S2, CalculationType
+ >::type coordinate_type;
+
+ static inline return_type segments_intersect(side_info const&,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ coordinate_type const& dx2, coordinate_type const& dy2,
+ S1 const& s1, S2 const& s2)
+ {
+ return_type result;
+ typedef typename geometry::coordinate_type
+ <
+ typename return_type::point_type
+ >::type coordinate_type;
+
+ // Get the same type, but at least a double (also used for divisions)
+ typedef typename select_most_precise
+ <
+ coordinate_type, double
+ >::type promoted_type;
+
+ promoted_type const s1x = get<0, 0>(s1);
+ promoted_type const s1y = get<0, 1>(s1);
+
+ // Calculate other determinants - Cramers rule
+ promoted_type const wx = get<0, 0>(s1) - get<0, 0>(s2);
+ promoted_type const wy = get<0, 1>(s1) - get<0, 1>(s2);
+ promoted_type const d = detail::determinant<promoted_type>(dx1, dy1, dx2, dy2);
+ promoted_type const da = detail::determinant<promoted_type>(dx2, dy2, wx, wy);
+
+ // r: ratio 0-1 where intersection divides A/B
+ promoted_type r = da / d;
+ promoted_type const zero = promoted_type();
+ promoted_type const one = 1;
+ // Handle robustness issues
+ if (r < zero)
+ {
+ r = zero;
+ }
+ else if (r > one)
+ {
+ r = one;
+ }
+
+ result.count = 1;
+ set<0>(result.intersections[0],
+ boost::numeric_cast<coordinate_type>(s1x + r * promoted_type(dx1)));
+ set<1>(result.intersections[0],
+ boost::numeric_cast<coordinate_type>(s1y + r * promoted_type(dy1)));
+
+ return result;
+ }
+
+ static inline return_type collinear_touch(coordinate_type const& x,
+ coordinate_type const& y, int, int)
+ {
+ return_type result;
+ result.count = 1;
+ set<0>(result.intersections[0], x);
+ set<1>(result.intersections[0], y);
+ return result;
+ }
+
+ template <typename S>
+ static inline return_type collinear_inside(S const& s, int index1 = 0, int index2 = 1)
+ {
+ return_type result;
+ result.count = 2;
+ set<0>(result.intersections[index1], get<0, 0>(s));
+ set<1>(result.intersections[index1], get<0, 1>(s));
+ set<0>(result.intersections[index2], get<1, 0>(s));
+ set<1>(result.intersections[index2], get<1, 1>(s));
+ return result;
+ }
+
+ template <typename S>
+ static inline return_type collinear_interior_boundary_intersect(S const& s, bool a_in_b,
+ int, int, bool opposite)
+ {
+ int index1 = opposite && ! a_in_b ? 1 : 0;
+ return collinear_inside(s, index1, 1 - index1);
+ }
+
+ static inline return_type collinear_a_in_b(S1 const& s, bool)
+ {
+ return collinear_inside(s);
+ }
+ static inline return_type collinear_b_in_a(S2 const& s, bool opposite)
+ {
+ int index1 = opposite ? 1 : 0;
+ return collinear_inside(s, index1, 1 - index1);
+ }
+
+ static inline return_type collinear_overlaps(
+ coordinate_type const& x1, coordinate_type const& y1,
+ coordinate_type const& x2, coordinate_type const& y2,
+ int, int, bool)
+ {
+ return_type result;
+ result.count = 2;
+ set<0>(result.intersections[0], x1);
+ set<1>(result.intersections[0], y1);
+ set<0>(result.intersections[1], x2);
+ set<1>(result.intersections[1], y2);
+ return result;
+ }
+
+ static inline return_type segment_equal(S1 const& s, bool)
+ {
+ return_type result;
+ result.count = 2;
+ // TODO: order of IP's
+ set<0>(result.intersections[0], get<0, 0>(s));
+ set<1>(result.intersections[0], get<0, 1>(s));
+ set<0>(result.intersections[1], get<1, 0>(s));
+ set<1>(result.intersections[1], get<1, 1>(s));
+ return result;
+ }
+
+ static inline return_type disjoint()
+ {
+ return return_type();
+ }
+ static inline return_type error(std::string const&)
+ {
+ return return_type();
+ }
+
+ static inline return_type collinear_disjoint()
+ {
+ return return_type();
+ }
+
+ static inline return_type degenerate(S1 const& s, bool)
+ {
+ return_type result;
+ result.count = 1;
+ set<0>(result.intersections[0], get<0, 0>(s));
+ set<1>(result.intersections[0], get<0, 1>(s));
+ return result;
+ }
+};
+
+
+}} // namespace policies::relate
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_INTERSECTION_POINTS_HPP
diff --git a/boost/geometry/policies/relate/tupled.hpp b/boost/geometry/policies/relate/tupled.hpp
new file mode 100644
index 0000000000..853a8a26a8
--- /dev/null
+++ b/boost/geometry/policies/relate/tupled.hpp
@@ -0,0 +1,173 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_GEOMETRY_POLICIES_RELATE_TUPLED_HPP
+#define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_TUPLED_HPP
+
+
+#include <string>
+
+#include <boost/tuple/tuple.hpp>
+#include <boost/geometry/strategies/side_info.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace policies { namespace relate
+{
+
+
+// "tupled" to return intersection results together.
+// Now with two, with some meta-programming and derivations it can also be three (or more)
+template <typename Policy1, typename Policy2, typename CalculationType = void>
+struct segments_tupled
+{
+ typedef boost::tuple
+ <
+ typename Policy1::return_type,
+ typename Policy2::return_type
+ > return_type;
+
+ // Take segments of first policy, they should be equal
+ typedef typename Policy1::segment_type1 segment_type1;
+ typedef typename Policy1::segment_type2 segment_type2;
+
+ typedef typename select_calculation_type
+ <
+ segment_type1,
+ segment_type2,
+ CalculationType
+ >::type coordinate_type;
+
+ // Get the same type, but at least a double
+ typedef typename select_most_precise<coordinate_type, double>::type rtype;
+
+ static inline return_type segments_intersect(side_info const& sides,
+ coordinate_type const& dx1, coordinate_type const& dy1,
+ coordinate_type const& dx2, coordinate_type const& dy2,
+ segment_type1 const& s1, segment_type2 const& s2)
+ {
+ return boost::make_tuple
+ (
+ Policy1::segments_intersect(sides,
+ dx1, dy1, dx2, dy2, s1, s2),
+ Policy2::segments_intersect(sides,
+ dx1, dy1, dx2, dy2, s1, s2)
+ );
+ }
+
+ static inline return_type collinear_touch(coordinate_type const& x,
+ coordinate_type const& y, int arrival_a, int arrival_b)
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_touch(x, y, arrival_a, arrival_b),
+ Policy2::collinear_touch(x, y, arrival_a, arrival_b)
+ );
+ }
+
+ template <typename S>
+ static inline return_type collinear_interior_boundary_intersect(S const& segment,
+ bool a_within_b,
+ int arrival_a, int arrival_b, bool opposite)
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_interior_boundary_intersect(segment, a_within_b, arrival_a, arrival_b, opposite),
+ Policy2::collinear_interior_boundary_intersect(segment, a_within_b, arrival_a, arrival_b, opposite)
+ );
+ }
+
+ static inline return_type collinear_a_in_b(segment_type1 const& segment,
+ bool opposite)
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_a_in_b(segment, opposite),
+ Policy2::collinear_a_in_b(segment, opposite)
+ );
+ }
+ static inline return_type collinear_b_in_a(segment_type2 const& segment,
+ bool opposite)
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_b_in_a(segment, opposite),
+ Policy2::collinear_b_in_a(segment, opposite)
+ );
+ }
+
+
+ static inline return_type collinear_overlaps(
+ coordinate_type const& x1, coordinate_type const& y1,
+ coordinate_type const& x2, coordinate_type const& y2,
+ int arrival_a, int arrival_b, bool opposite)
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_overlaps(x1, y1, x2, y2, arrival_a, arrival_b, opposite),
+ Policy2::collinear_overlaps(x1, y1, x2, y2, arrival_a, arrival_b, opposite)
+ );
+ }
+
+ static inline return_type segment_equal(segment_type1 const& s,
+ bool opposite)
+ {
+ return boost::make_tuple
+ (
+ Policy1::segment_equal(s, opposite),
+ Policy2::segment_equal(s, opposite)
+ );
+ }
+
+ static inline return_type degenerate(segment_type1 const& segment,
+ bool a_degenerate)
+ {
+ return boost::make_tuple
+ (
+ Policy1::degenerate(segment, a_degenerate),
+ Policy2::degenerate(segment, a_degenerate)
+ );
+ }
+
+ static inline return_type disjoint()
+ {
+ return boost::make_tuple
+ (
+ Policy1::disjoint(),
+ Policy2::disjoint()
+ );
+ }
+
+ static inline return_type error(std::string const& msg)
+ {
+ return boost::make_tuple
+ (
+ Policy1::error(msg),
+ Policy2::error(msg)
+ );
+ }
+
+ static inline return_type collinear_disjoint()
+ {
+ return boost::make_tuple
+ (
+ Policy1::collinear_disjoint(),
+ Policy2::collinear_disjoint()
+ );
+ }
+
+};
+
+}} // namespace policies::relate
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_TUPLED_HPP
diff --git a/boost/geometry/strategies/agnostic/hull_graham_andrew.hpp b/boost/geometry/strategies/agnostic/hull_graham_andrew.hpp
new file mode 100644
index 0000000000..747c140754
--- /dev/null
+++ b/boost/geometry/strategies/agnostic/hull_graham_andrew.hpp
@@ -0,0 +1,384 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+
+// 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_STRATEGIES_AGNOSTIC_CONVEX_GRAHAM_ANDREW_HPP
+#define BOOST_GEOMETRY_STRATEGIES_AGNOSTIC_CONVEX_GRAHAM_ANDREW_HPP
+
+
+#include <cstddef>
+#include <algorithm>
+#include <vector>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/strategies/convex_hull.hpp>
+
+#include <boost/geometry/views/detail/range_type.hpp>
+
+#include <boost/geometry/policies/compare.hpp>
+
+#include <boost/geometry/algorithms/detail/for_each_range.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace convex_hull
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template
+<
+ typename InputRange,
+ typename RangeIterator,
+ typename StrategyLess,
+ typename StrategyGreater
+>
+struct get_extremes
+{
+ typedef typename point_type<InputRange>::type point_type;
+
+ point_type left, right;
+
+ bool first;
+
+ StrategyLess less;
+ StrategyGreater greater;
+
+ inline get_extremes()
+ : first(true)
+ {}
+
+ inline void apply(InputRange const& range)
+ {
+ if (boost::size(range) == 0)
+ {
+ return;
+ }
+
+ // First iterate through this range
+ // (this two-stage approach avoids many point copies,
+ // because iterators are kept in memory. Because iterators are
+ // not persistent (in MSVC) this approach is not applicable
+ // for more ranges together)
+
+ RangeIterator left_it = boost::begin(range);
+ RangeIterator right_it = boost::begin(range);
+
+ for (RangeIterator it = boost::begin(range) + 1;
+ it != boost::end(range);
+ ++it)
+ {
+ if (less(*it, *left_it))
+ {
+ left_it = it;
+ }
+
+ if (greater(*it, *right_it))
+ {
+ right_it = it;
+ }
+ }
+
+ // Then compare with earlier
+ if (first)
+ {
+ // First time, assign left/right
+ left = *left_it;
+ right = *right_it;
+ first = false;
+ }
+ else
+ {
+ // Next time, check if this range was left/right from
+ // the extremes already collected
+ if (less(*left_it, left))
+ {
+ left = *left_it;
+ }
+
+ if (greater(*right_it, right))
+ {
+ right = *right_it;
+ }
+ }
+ }
+};
+
+
+template
+<
+ typename InputRange,
+ typename RangeIterator,
+ typename Container,
+ typename SideStrategy
+>
+struct assign_range
+{
+ Container lower_points, upper_points;
+
+ typedef typename point_type<InputRange>::type point_type;
+
+ point_type const& most_left;
+ point_type const& most_right;
+
+ inline assign_range(point_type const& left, point_type const& right)
+ : most_left(left)
+ , most_right(right)
+ {}
+
+ inline void apply(InputRange const& range)
+ {
+ typedef SideStrategy side;
+
+ // Put points in one of the two output sequences
+ for (RangeIterator it = boost::begin(range);
+ it != boost::end(range);
+ ++it)
+ {
+ // check if it is lying most_left or most_right from the line
+
+ int dir = side::apply(most_left, most_right, *it);
+ switch(dir)
+ {
+ case 1 : // left side
+ upper_points.push_back(*it);
+ break;
+ case -1 : // right side
+ lower_points.push_back(*it);
+ break;
+
+ // 0: on line most_left-most_right,
+ // or most_left, or most_right,
+ // -> all never part of hull
+ }
+ }
+ }
+};
+
+template <typename Range>
+static inline void sort(Range& range)
+{
+ typedef typename boost::range_value<Range>::type point_type;
+ typedef geometry::less<point_type> comparator;
+
+ std::sort(boost::begin(range), boost::end(range), comparator());
+}
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Graham scan strategy to calculate convex hull
+\ingroup strategies
+\note Completely reworked version inspired on the sources listed below
+\see http://www.ddj.com/architect/201806315
+\see http://marknelson.us/2007/08/22/convex
+ */
+template <typename InputGeometry, typename OutputPoint>
+class graham_andrew
+{
+public :
+ typedef OutputPoint point_type;
+ typedef InputGeometry geometry_type;
+
+private:
+
+ typedef typename cs_tag<point_type>::type cs_tag;
+
+ typedef typename std::vector<point_type> container_type;
+ typedef typename std::vector<point_type>::const_iterator iterator;
+ typedef typename std::vector<point_type>::const_reverse_iterator rev_iterator;
+
+
+ class partitions
+ {
+ friend class graham_andrew;
+
+ container_type m_lower_hull;
+ container_type m_upper_hull;
+ container_type m_copied_input;
+ };
+
+
+public:
+ typedef partitions state_type;
+
+
+ inline void apply(InputGeometry const& geometry, partitions& state) const
+ {
+ // First pass.
+ // Get min/max (in most cases left / right) points
+ // This makes use of the geometry::less/greater predicates
+
+ // For the left boundary it is important that multiple points
+ // are sorted from bottom to top. Therefore the less predicate
+ // does not take the x-only template parameter (this fixes ticket #6019.
+ // For the right boundary it is not necessary (though also not harmful),
+ // because points are sorted from bottom to top in a later stage.
+ // For symmetry and to get often more balanced lower/upper halves
+ // we keep it.
+
+ typedef typename geometry::detail::range_type<InputGeometry>::type range_type;
+
+ typedef typename boost::range_iterator
+ <
+ range_type const
+ >::type range_iterator;
+
+ detail::get_extremes
+ <
+ range_type,
+ range_iterator,
+ geometry::less<point_type>,
+ geometry::greater<point_type>
+ > extremes;
+ geometry::detail::for_each_range(geometry, extremes);
+
+ // Bounding left/right points
+ // Second pass, now that extremes are found, assign all points
+ // in either lower, either upper
+ detail::assign_range
+ <
+ range_type,
+ range_iterator,
+ container_type,
+ typename strategy::side::services::default_strategy<cs_tag>::type
+ > assigner(extremes.left, extremes.right);
+
+ geometry::detail::for_each_range(geometry, assigner);
+
+
+ // Sort both collections, first on x(, then on y)
+ detail::sort(assigner.lower_points);
+ detail::sort(assigner.upper_points);
+
+ //std::cout << boost::size(assigner.lower_points) << std::endl;
+ //std::cout << boost::size(assigner.upper_points) << std::endl;
+
+ // And decide which point should be in the final hull
+ build_half_hull<-1>(assigner.lower_points, state.m_lower_hull,
+ extremes.left, extremes.right);
+ build_half_hull<1>(assigner.upper_points, state.m_upper_hull,
+ extremes.left, extremes.right);
+ }
+
+
+ template <typename OutputIterator>
+ inline void result(partitions const& state,
+ OutputIterator out, bool clockwise) const
+ {
+ if (clockwise)
+ {
+ output_range<iterate_forward>(state.m_upper_hull, out, false);
+ output_range<iterate_reverse>(state.m_lower_hull, out, true);
+ }
+ else
+ {
+ output_range<iterate_forward>(state.m_lower_hull, out, false);
+ output_range<iterate_reverse>(state.m_upper_hull, out, true);
+ }
+ }
+
+
+private:
+
+ template <int Factor>
+ static inline void build_half_hull(container_type const& input,
+ container_type& output,
+ point_type const& left, point_type const& right)
+ {
+ output.push_back(left);
+ for(iterator it = input.begin(); it != input.end(); ++it)
+ {
+ add_to_hull<Factor>(*it, output);
+ }
+ add_to_hull<Factor>(right, output);
+ }
+
+
+ template <int Factor>
+ static inline void add_to_hull(point_type const& p, container_type& output)
+ {
+ typedef typename strategy::side::services::default_strategy<cs_tag>::type side;
+
+ output.push_back(p);
+ register std::size_t output_size = output.size();
+ while (output_size >= 3)
+ {
+ rev_iterator rit = output.rbegin();
+ point_type const& last = *rit++;
+ point_type const& last2 = *rit++;
+
+ if (Factor * side::apply(*rit, last, last2) <= 0)
+ {
+ // Remove last two points from stack, and add last again
+ // This is much faster then erasing the one but last.
+ output.pop_back();
+ output.pop_back();
+ output.push_back(last);
+ output_size--;
+ }
+ else
+ {
+ return;
+ }
+ }
+ }
+
+
+ template <iterate_direction Direction, typename OutputIterator>
+ static inline void output_range(container_type const& range,
+ OutputIterator out, bool skip_first)
+ {
+ typedef typename reversible_view<container_type const, Direction>::type view_type;
+ view_type view(range);
+ bool first = true;
+ for (typename boost::range_iterator<view_type const>::type it = boost::begin(view);
+ it != boost::end(view); ++it)
+ {
+ if (first && skip_first)
+ {
+ first = false;
+ }
+ else
+ {
+ *out = *it;
+ ++out;
+ }
+ }
+ }
+
+};
+
+}} // namespace strategy::convex_hull
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+template <typename InputGeometry, typename OutputPoint>
+struct strategy_convex_hull<InputGeometry, OutputPoint, cartesian_tag>
+{
+ typedef strategy::convex_hull::graham_andrew<InputGeometry, OutputPoint> type;
+};
+#endif
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_AGNOSTIC_CONVEX_GRAHAM_ANDREW_HPP
diff --git a/boost/geometry/strategies/agnostic/point_in_box_by_side.hpp b/boost/geometry/strategies/agnostic/point_in_box_by_side.hpp
new file mode 100644
index 0000000000..1398ddb687
--- /dev/null
+++ b/boost/geometry/strategies/agnostic/point_in_box_by_side.hpp
@@ -0,0 +1,151 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_AGNOSTIC_POINT_IN_BOX_BY_SIDE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_AGNOSTIC_POINT_IN_BOX_BY_SIDE_HPP
+
+#include <boost/array.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/algorithms/assign.hpp>
+#include <boost/geometry/strategies/covered_by.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+
+namespace boost { namespace geometry { namespace strategy
+{
+
+namespace within
+{
+
+struct decide_within
+{
+ static inline bool apply(int side, bool& result)
+ {
+ if (side != 1)
+ {
+ result = false;
+ return false;
+ }
+ return true; // continue
+ }
+};
+
+struct decide_covered_by
+{
+ static inline bool apply(int side, bool& result)
+ {
+ if (side != 1)
+ {
+ result = side >= 0;
+ return false;
+ }
+ return true; // continue
+ }
+};
+
+
+template <typename Point, typename Box, typename Decide = decide_within>
+struct point_in_box_by_side
+{
+ typedef typename strategy::side::services::default_strategy
+ <
+ typename cs_tag<Box>::type
+ >::type side_strategy_type;
+
+ static inline bool apply(Point const& point, Box const& box)
+ {
+ // Create (counterclockwise) array of points, the fifth one closes it
+ // Every point should be on the LEFT side (=1), or ON the border (=0),
+ // So >= 1 or >= 0
+ boost::array<typename point_type<Box>::type, 5> bp;
+ geometry::detail::assign_box_corners_oriented<true>(box, bp);
+ bp[4] = bp[0];
+
+ bool result = true;
+ side_strategy_type strategy;
+ boost::ignore_unused_variable_warning(strategy);
+
+ for (int i = 1; i < 5; i++)
+ {
+ int const side = strategy.apply(point, bp[i - 1], bp[i]);
+ if (! Decide::apply(side, result))
+ {
+ return result;
+ }
+ }
+
+ return result;
+ }
+};
+
+
+} // namespace within
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+namespace within { namespace services
+{
+
+template <typename Point, typename Box>
+struct default_strategy
+ <
+ point_tag, box_tag,
+ point_tag, areal_tag,
+ spherical_tag, spherical_tag,
+ Point, Box
+ >
+{
+ typedef within::point_in_box_by_side
+ <
+ Point, Box, within::decide_within
+ > type;
+};
+
+
+
+}} // namespace within::services
+
+
+namespace covered_by { namespace services
+{
+
+
+template <typename Point, typename Box>
+struct default_strategy
+ <
+ point_tag, box_tag,
+ point_tag, areal_tag,
+ spherical_tag, spherical_tag,
+ Point, Box
+ >
+{
+ typedef within::point_in_box_by_side
+ <
+ Point, Box, within::decide_covered_by
+ > type;
+};
+
+
+}} // namespace covered_by::services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}}} // namespace boost::geometry::strategy
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_AGNOSTIC_POINT_IN_BOX_BY_SIDE_HPP
diff --git a/boost/geometry/strategies/agnostic/point_in_poly_oriented_winding.hpp b/boost/geometry/strategies/agnostic/point_in_poly_oriented_winding.hpp
new file mode 100644
index 0000000000..423948fff3
--- /dev/null
+++ b/boost/geometry/strategies/agnostic/point_in_poly_oriented_winding.hpp
@@ -0,0 +1,208 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
+
+// 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_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP
+#define BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP
+
+
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+#include <boost/geometry/strategies/side.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace within
+{
+
+/*!
+\brief Within detection using winding rule, but checking if enclosing ring is
+ counter clockwise and, if so, reverses the result
+\ingroup strategies
+\tparam Point \tparam_point
+\tparam Reverse True if parameter should be reversed
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\author Barend Gehrels
+\note The implementation is inspired by terralib http://www.terralib.org (LGPL)
+\note but totally revised afterwards, especially for cases on segments
+\note Only dependant on "side", -> agnostic, suitable for spherical/latlong
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.within.within_3_with_strategy within (with strategy)]
+}
+ */
+template
+<
+ bool Reverse,
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void
+>
+class oriented_winding
+{
+ typedef typename select_calculation_type
+ <
+ Point,
+ PointOfSegment,
+ CalculationType
+ >::type calculation_type;
+
+
+ typedef typename strategy::side::services::default_strategy
+ <
+ typename cs_tag<Point>::type
+ >::type strategy_side_type;
+
+
+ /*! subclass to keep state */
+ class counter
+ {
+ int m_count;
+ bool m_touches;
+ calculation_type m_sum_area;
+
+ inline int code() const
+ {
+ return m_touches ? 0 : m_count == 0 ? -1 : 1;
+ }
+ inline int clockwise_oriented_code() const
+ {
+ return (m_sum_area > 0) ? code() : -code();
+ }
+ inline int oriented_code() const
+ {
+ return Reverse
+ ? -clockwise_oriented_code()
+ : clockwise_oriented_code();
+ }
+
+ public :
+ friend class oriented_winding;
+
+ inline counter()
+ : m_count(0)
+ , m_touches(false)
+ , m_sum_area(0)
+ {}
+
+ inline void add_to_area(calculation_type triangle)
+ {
+ m_sum_area += triangle;
+ }
+
+ };
+
+
+ template <size_t D>
+ static inline int check_touch(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ counter& state)
+ {
+ calculation_type const p = get<D>(point);
+ calculation_type const s1 = get<D>(seg1);
+ calculation_type const s2 = get<D>(seg2);
+ if ((s1 <= p && s2 >= p) || (s2 <= p && s1 >= p))
+ {
+ state.m_touches = true;
+ }
+ return 0;
+ }
+
+
+ template <size_t D>
+ static inline int check_segment(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ counter& state)
+ {
+ calculation_type const p = get<D>(point);
+ calculation_type const s1 = get<D>(seg1);
+ calculation_type const s2 = get<D>(seg2);
+
+
+ // Check if one of segment endpoints is at same level of point
+ bool eq1 = math::equals(s1, p);
+ bool eq2 = math::equals(s2, p);
+
+ if (eq1 && eq2)
+ {
+ // Both equal p -> segment is horizontal (or vertical for D=0)
+ // The only thing which has to be done is check if point is ON segment
+ return check_touch<1 - D>(point, seg1, seg2, state);
+ }
+
+ return
+ eq1 ? (s2 > p ? 1 : -1) // Point on level s1, UP/DOWN depending on s2
+ : eq2 ? (s1 > p ? -1 : 1) // idem
+ : s1 < p && s2 > p ? 2 // Point between s1 -> s2 --> UP
+ : s2 < p && s1 > p ? -2 // Point between s2 -> s1 --> DOWN
+ : 0;
+ }
+
+
+
+
+public :
+
+ // Typedefs and static methods to fulfill the concept
+ typedef Point point_type;
+ typedef PointOfSegment segment_point_type;
+ typedef counter state_type;
+
+ static inline bool apply(Point const& point,
+ PointOfSegment const& s1, PointOfSegment const& s2,
+ counter& state)
+ {
+ state.add_to_area(get<0>(s2) * get<1>(s1) - get<0>(s1) * get<1>(s2));
+
+ int count = check_segment<1>(point, s1, s2, state);
+ if (count != 0)
+ {
+ int side = strategy_side_type::apply(s1, s2, point);
+ if (side == 0)
+ {
+ // Point is lying on segment
+ state.m_touches = true;
+ state.m_count = 0;
+ return false;
+ }
+
+ // Side is NEG for right, POS for left.
+ // The count is -2 for down, 2 for up (or -1/1)
+ // Side positive thus means UP and LEFTSIDE or DOWN and RIGHTSIDE
+ // See accompagnying figure (TODO)
+ if (side * count > 0)
+ {
+ state.m_count += count;
+ }
+ }
+ return ! state.m_touches;
+ }
+
+ static inline int result(counter const& state)
+ {
+ return state.oriented_code();
+ }
+};
+
+
+}} // namespace strategy::within
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP
diff --git a/boost/geometry/strategies/agnostic/point_in_poly_winding.hpp b/boost/geometry/strategies/agnostic/point_in_poly_winding.hpp
new file mode 100644
index 0000000000..69188650d8
--- /dev/null
+++ b/boost/geometry/strategies/agnostic/point_in_poly_winding.hpp
@@ -0,0 +1,232 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+
+// 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_STRATEGY_AGNOSTIC_POINT_IN_POLY_WINDING_HPP
+#define BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_WINDING_HPP
+
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+#include <boost/geometry/strategies/side.hpp>
+#include <boost/geometry/strategies/covered_by.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace within
+{
+
+/*!
+\brief Within detection using winding rule
+\ingroup strategies
+\tparam Point \tparam_point
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\author Barend Gehrels
+\note The implementation is inspired by terralib http://www.terralib.org (LGPL)
+\note but totally revised afterwards, especially for cases on segments
+\note Only dependant on "side", -> agnostic, suitable for spherical/latlong
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.within.within_3_with_strategy within (with strategy)]
+}
+ */
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void
+>
+class winding
+{
+ typedef typename select_calculation_type
+ <
+ Point,
+ PointOfSegment,
+ CalculationType
+ >::type calculation_type;
+
+
+ typedef typename strategy::side::services::default_strategy
+ <
+ typename cs_tag<Point>::type
+ >::type strategy_side_type;
+
+
+ /*! subclass to keep state */
+ class counter
+ {
+ int m_count;
+ bool m_touches;
+
+ inline int code() const
+ {
+ return m_touches ? 0 : m_count == 0 ? -1 : 1;
+ }
+
+ public :
+ friend class winding;
+
+ inline counter()
+ : m_count(0)
+ , m_touches(false)
+ {}
+
+ };
+
+
+ template <size_t D>
+ static inline int check_touch(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ counter& state)
+ {
+ calculation_type const p = get<D>(point);
+ calculation_type const s1 = get<D>(seg1);
+ calculation_type const s2 = get<D>(seg2);
+ if ((s1 <= p && s2 >= p) || (s2 <= p && s1 >= p))
+ {
+ state.m_touches = true;
+ }
+ return 0;
+ }
+
+
+ template <size_t D>
+ static inline int check_segment(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ counter& state)
+ {
+ calculation_type const p = get<D>(point);
+ calculation_type const s1 = get<D>(seg1);
+ calculation_type const s2 = get<D>(seg2);
+
+ // Check if one of segment endpoints is at same level of point
+ bool eq1 = math::equals(s1, p);
+ bool eq2 = math::equals(s2, p);
+
+ if (eq1 && eq2)
+ {
+ // Both equal p -> segment is horizontal (or vertical for D=0)
+ // The only thing which has to be done is check if point is ON segment
+ return check_touch<1 - D>(point, seg1, seg2,state);
+ }
+
+ return
+ eq1 ? (s2 > p ? 1 : -1) // Point on level s1, UP/DOWN depending on s2
+ : eq2 ? (s1 > p ? -1 : 1) // idem
+ : s1 < p && s2 > p ? 2 // Point between s1 -> s2 --> UP
+ : s2 < p && s1 > p ? -2 // Point between s2 -> s1 --> DOWN
+ : 0;
+ }
+
+
+
+
+public :
+
+ // Typedefs and static methods to fulfill the concept
+ typedef Point point_type;
+ typedef PointOfSegment segment_point_type;
+ typedef counter state_type;
+
+ static inline bool apply(Point const& point,
+ PointOfSegment const& s1, PointOfSegment const& s2,
+ counter& state)
+ {
+ int count = check_segment<1>(point, s1, s2, state);
+ if (count != 0)
+ {
+ int side = strategy_side_type::apply(s1, s2, point);
+ if (side == 0)
+ {
+ // Point is lying on segment
+ state.m_touches = true;
+ state.m_count = 0;
+ return false;
+ }
+
+ // Side is NEG for right, POS for left.
+ // The count is -2 for down, 2 for up (or -1/1)
+ // Side positive thus means UP and LEFTSIDE or DOWN and RIGHTSIDE
+ // See accompagnying figure (TODO)
+ if (side * count > 0)
+ {
+ state.m_count += count;
+ }
+ }
+ return ! state.m_touches;
+ }
+
+ static inline int result(counter const& state)
+ {
+ return state.code();
+ }
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+// Register using "areal_tag" for ring, polygon, multi-polygon
+template <typename AnyTag, typename Point, typename Geometry>
+struct default_strategy<point_tag, AnyTag, point_tag, areal_tag, cartesian_tag, cartesian_tag, Point, Geometry>
+{
+ typedef winding<Point, typename geometry::point_type<Geometry>::type> type;
+};
+
+template <typename AnyTag, typename Point, typename Geometry>
+struct default_strategy<point_tag, AnyTag, point_tag, areal_tag, spherical_tag, spherical_tag, Point, Geometry>
+{
+ typedef winding<Point, typename geometry::point_type<Geometry>::type> type;
+};
+
+
+} // namespace services
+
+#endif
+
+
+}} // namespace strategy::within
+
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace strategy { namespace covered_by { namespace services
+{
+
+// Register using "areal_tag" for ring, polygon, multi-polygon
+template <typename AnyTag, typename Point, typename Geometry>
+struct default_strategy<point_tag, AnyTag, point_tag, areal_tag, cartesian_tag, cartesian_tag, Point, Geometry>
+{
+ typedef strategy::within::winding<Point, typename geometry::point_type<Geometry>::type> type;
+};
+
+template <typename AnyTag, typename Point, typename Geometry>
+struct default_strategy<point_tag, AnyTag, point_tag, areal_tag, spherical_tag, spherical_tag, Point, Geometry>
+{
+ typedef strategy::within::winding<Point, typename geometry::point_type<Geometry>::type> type;
+};
+
+
+}}} // namespace strategy::covered_by::services
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_WINDING_HPP
diff --git a/boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp b/boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp
new file mode 100644
index 0000000000..4a1a22d1cf
--- /dev/null
+++ b/boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp
@@ -0,0 +1,229 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 1995, 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 1995 Maarten Hilferink, Amsterdam, the Netherlands
+
+// 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_STRATEGY_AGNOSTIC_SIMPLIFY_DOUGLAS_PEUCKER_HPP
+#define BOOST_GEOMETRY_STRATEGY_AGNOSTIC_SIMPLIFY_DOUGLAS_PEUCKER_HPP
+
+
+#include <cstddef>
+#include <vector>
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/strategies/distance.hpp>
+
+
+
+//#define GL_DEBUG_DOUGLAS_PEUCKER
+
+#ifdef GL_DEBUG_DOUGLAS_PEUCKER
+#include <boost/geometry/io/dsv/write.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace simplify
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+ /*!
+ \brief Small wrapper around a point, with an extra member "included"
+ \details
+ It has a const-reference to the original point (so no copy here)
+ \tparam the enclosed point type
+ */
+ template<typename Point>
+ struct douglas_peucker_point
+ {
+ Point const& p;
+ bool included;
+
+ inline douglas_peucker_point(Point const& ap)
+ : p(ap)
+ , included(false)
+ {}
+
+ // Necessary for proper compilation
+ inline douglas_peucker_point<Point> operator=(douglas_peucker_point<Point> const& )
+ {
+ return douglas_peucker_point<Point>(*this);
+ }
+ };
+}
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Implements the simplify algorithm.
+\ingroup strategies
+\details The douglas_peucker strategy simplifies a linestring, ring or
+ vector of points using the well-known Douglas-Peucker algorithm.
+ For the algorithm, see for example:
+\see http://en.wikipedia.org/wiki/Ramer-Douglas-Peucker_algorithm
+\see http://www2.dcs.hull.ac.uk/CISRG/projects/Royal-Inst/demos/dp.html
+\tparam Point the point type
+\tparam PointDistanceStrategy point-segment distance strategy to be used
+\note This strategy uses itself a point-segment-distance strategy which
+ can be specified
+\author Barend and Maarten, 1995/1996
+\author Barend, revised for Generic Geometry Library, 2008
+*/
+template
+<
+ typename Point,
+ typename PointDistanceStrategy
+>
+class douglas_peucker
+{
+public :
+
+ // See also ticket 5954 https://svn.boost.org/trac/boost/ticket/5954
+ // Comparable is currently not possible here because it has to be compared to the squared of max_distance, and more.
+ // For now we have to take the real distance.
+ typedef PointDistanceStrategy distance_strategy_type;
+ // typedef typename strategy::distance::services::comparable_type<PointDistanceStrategy>::type distance_strategy_type;
+
+ typedef typename strategy::distance::services::return_type<distance_strategy_type>::type return_type;
+
+private :
+ typedef detail::douglas_peucker_point<Point> dp_point_type;
+ typedef typename std::vector<dp_point_type>::iterator iterator_type;
+
+
+ static inline void consider(iterator_type begin,
+ iterator_type end,
+ return_type const& max_dist, int& n,
+ distance_strategy_type const& ps_distance_strategy)
+ {
+ std::size_t size = end - begin;
+
+ // size must be at least 3
+ // because we want to consider a candidate point in between
+ if (size <= 2)
+ {
+#ifdef GL_DEBUG_DOUGLAS_PEUCKER
+ if (begin != end)
+ {
+ std::cout << "ignore between " << dsv(begin->p)
+ << " and " << dsv((end - 1)->p)
+ << " size=" << size << std::endl;
+ }
+ std::cout << "return because size=" << size << std::endl;
+#endif
+ return;
+ }
+
+ iterator_type last = end - 1;
+
+#ifdef GL_DEBUG_DOUGLAS_PEUCKER
+ std::cout << "find between " << dsv(begin->p)
+ << " and " << dsv(last->p)
+ << " size=" << size << std::endl;
+#endif
+
+
+ // Find most far point, compare to the current segment
+ //geometry::segment<Point const> s(begin->p, last->p);
+ return_type md(-1.0); // any value < 0
+ iterator_type candidate;
+ for(iterator_type it = begin + 1; it != last; ++it)
+ {
+ return_type dist = ps_distance_strategy.apply(it->p, begin->p, last->p);
+
+#ifdef GL_DEBUG_DOUGLAS_PEUCKER
+ std::cout << "consider " << dsv(it->p)
+ << " at " << double(dist)
+ << ((dist > max_dist) ? " maybe" : " no")
+ << std::endl;
+
+#endif
+ if (dist > md)
+ {
+ md = dist;
+ candidate = it;
+ }
+ }
+
+ // If a point is found, set the include flag
+ // and handle segments in between recursively
+ if (md > max_dist)
+ {
+#ifdef GL_DEBUG_DOUGLAS_PEUCKER
+ std::cout << "use " << dsv(candidate->p) << std::endl;
+#endif
+
+ candidate->included = true;
+ n++;
+
+ consider(begin, candidate + 1, max_dist, n, ps_distance_strategy);
+ consider(candidate, end, max_dist, n, ps_distance_strategy);
+ }
+ }
+
+
+public :
+
+ template <typename Range, typename OutputIterator>
+ static inline OutputIterator apply(Range const& range,
+ OutputIterator out, double max_distance)
+ {
+ distance_strategy_type strategy;
+
+ // Copy coordinates, a vector of references to all points
+ std::vector<dp_point_type> ref_candidates(boost::begin(range),
+ boost::end(range));
+
+ // Include first and last point of line,
+ // they are always part of the line
+ int n = 2;
+ ref_candidates.front().included = true;
+ ref_candidates.back().included = true;
+
+ // Get points, recursively, including them if they are further away
+ // than the specified distance
+ typedef typename strategy::distance::services::return_type<distance_strategy_type>::type return_type;
+
+ consider(boost::begin(ref_candidates), boost::end(ref_candidates), max_distance, n, strategy);
+
+ // Copy included elements to the output
+ for(typename std::vector<dp_point_type>::const_iterator it
+ = boost::begin(ref_candidates);
+ it != boost::end(ref_candidates);
+ ++it)
+ {
+ if (it->included)
+ {
+ // copy-coordinates does not work because OutputIterator
+ // does not model Point (??)
+ //geometry::convert(it->p, *out);
+ *out = it->p;
+ out++;
+ }
+ }
+ return out;
+ }
+
+};
+
+}} // namespace strategy::simplify
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGY_AGNOSTIC_SIMPLIFY_DOUGLAS_PEUCKER_HPP
diff --git a/boost/geometry/strategies/area.hpp b/boost/geometry/strategies/area.hpp
new file mode 100644
index 0000000000..e192d9b28b
--- /dev/null
+++ b/boost/geometry/strategies/area.hpp
@@ -0,0 +1,50 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_AREA_HPP
+#define BOOST_GEOMETRY_STRATEGIES_AREA_HPP
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/strategies/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace area { namespace services
+{
+
+/*!
+ \brief Traits class binding a default area strategy to a coordinate system
+ \ingroup area
+ \tparam Tag tag of coordinate system
+ \tparam PointOfSegment point-type
+*/
+template <typename Tag, typename PointOfSegment>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE
+ , (types<PointOfSegment>)
+ );
+};
+
+
+}}} // namespace strategy::area::services
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_AREA_HPP
diff --git a/boost/geometry/strategies/cartesian/area_surveyor.hpp b/boost/geometry/strategies/cartesian/area_surveyor.hpp
new file mode 100644
index 0000000000..74b63532c0
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/area_surveyor.hpp
@@ -0,0 +1,134 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_AREA_SURVEYOR_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_AREA_SURVEYOR_HPP
+
+
+#include <boost/mpl/if.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace area
+{
+
+/*!
+\brief Area calculation for cartesian points
+\ingroup strategies
+\details Calculates area using the Surveyor's formula, a well-known
+ triangulation algorithm
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.area.area_2_with_strategy area (with strategy)]
+}
+
+*/
+template
+<
+ typename PointOfSegment,
+ typename CalculationType = void
+>
+class surveyor
+{
+public :
+ // If user specified a calculation type, use that type,
+ // whatever it is and whatever the point-type is.
+ // Else, use the pointtype, but at least double
+ typedef typename
+ boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+ typename select_most_precise
+ <
+ typename coordinate_type<PointOfSegment>::type,
+ double
+ >::type,
+ CalculationType
+ >::type return_type;
+
+
+private :
+
+ class summation
+ {
+ friend class surveyor;
+
+ return_type sum;
+ public :
+
+ inline summation() : sum(return_type())
+ {
+ // Strategy supports only 2D areas
+ assert_dimension<PointOfSegment, 2>();
+ }
+ inline return_type area() const
+ {
+ return_type result = sum;
+ return_type const two = 2;
+ result /= two;
+ return result;
+ }
+ };
+
+public :
+ typedef summation state_type;
+ typedef PointOfSegment segment_point_type;
+
+ static inline void apply(PointOfSegment const& p1,
+ PointOfSegment const& p2,
+ summation& state)
+ {
+ // SUM += x2 * y1 - x1 * y2;
+ state.sum += detail::determinant<return_type>(p2, p1);
+ }
+
+ static inline return_type result(summation const& state)
+ {
+ return state.area();
+ }
+
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+ template <typename Point>
+ struct default_strategy<cartesian_tag, Point>
+ {
+ typedef strategy::area::surveyor<Point> type;
+ };
+
+} // namespace services
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::area
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_AREA_SURVEYOR_HPP
diff --git a/boost/geometry/strategies/cartesian/box_in_box.hpp b/boost/geometry/strategies/cartesian/box_in_box.hpp
new file mode 100644
index 0000000000..7680b8362c
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/box_in_box.hpp
@@ -0,0 +1,176 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_BOX_IN_BOX_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BOX_IN_BOX_HPP
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/strategies/covered_by.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+
+namespace boost { namespace geometry { namespace strategy
+{
+
+
+namespace within
+{
+
+struct box_within_range
+{
+ template <typename BoxContainedValue, typename BoxContainingValue>
+ static inline bool apply(BoxContainedValue const& bed_min
+ , BoxContainedValue const& bed_max
+ , BoxContainingValue const& bing_min
+ , BoxContainingValue const& bing_max)
+ {
+ return bed_min > bing_min && bed_max < bing_max;
+ }
+};
+
+
+struct box_covered_by_range
+{
+ template <typename BoxContainedValue, typename BoxContainingValue>
+ static inline bool apply(BoxContainedValue const& bed_min
+ , BoxContainedValue const& bed_max
+ , BoxContainingValue const& bing_min
+ , BoxContainingValue const& bing_max)
+ {
+ return bed_min >= bing_min && bed_max <= bing_max;
+ }
+};
+
+
+template
+<
+ typename SubStrategy,
+ typename Box1,
+ typename Box2,
+ std::size_t Dimension,
+ std::size_t DimensionCount
+>
+struct relate_box_box_loop
+{
+ static inline bool apply(Box1 const& b_contained, Box2 const& b_containing)
+ {
+ assert_dimension_equal<Box1, Box2>();
+
+ if (! SubStrategy::apply(
+ get<min_corner, Dimension>(b_contained),
+ get<max_corner, Dimension>(b_contained),
+ get<min_corner, Dimension>(b_containing),
+ get<max_corner, Dimension>(b_containing)
+ )
+ )
+ {
+ return false;
+ }
+
+ return relate_box_box_loop
+ <
+ SubStrategy,
+ Box1, Box2,
+ Dimension + 1, DimensionCount
+ >::apply(b_contained, b_containing);
+ }
+};
+
+template
+<
+ typename SubStrategy,
+ typename Box1,
+ typename Box2,
+ std::size_t DimensionCount
+>
+struct relate_box_box_loop<SubStrategy, Box1, Box2, DimensionCount, DimensionCount>
+{
+ static inline bool apply(Box1 const& , Box2 const& )
+ {
+ return true;
+ }
+};
+
+template
+<
+ typename Box1,
+ typename Box2,
+ typename SubStrategy = box_within_range
+>
+struct box_in_box
+{
+ static inline bool apply(Box1 const& box1, Box2 const& box2)
+ {
+ return relate_box_box_loop
+ <
+ SubStrategy,
+ Box1, Box2, 0, dimension<Box1>::type::value
+ >::apply(box1, box2);
+ }
+};
+
+
+} // namespace within
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+namespace within { namespace services
+{
+
+template <typename BoxContained, typename BoxContaining>
+struct default_strategy
+ <
+ box_tag, box_tag,
+ box_tag, areal_tag,
+ cartesian_tag, cartesian_tag,
+ BoxContained, BoxContaining
+ >
+{
+ typedef within::box_in_box<BoxContained, BoxContaining> type;
+};
+
+
+}} // namespace within::services
+
+namespace covered_by { namespace services
+{
+
+template <typename BoxContained, typename BoxContaining>
+struct default_strategy
+ <
+ box_tag, box_tag,
+ box_tag, areal_tag,
+ cartesian_tag, cartesian_tag,
+ BoxContained, BoxContaining
+ >
+{
+ typedef within::box_in_box
+ <
+ BoxContained, BoxContaining,
+ within::box_covered_by_range
+ > type;
+};
+
+}} // namespace covered_by::services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}}} // namespace boost::geometry::strategy
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BOX_IN_BOX_HPP
diff --git a/boost/geometry/strategies/cartesian/cart_intersect.hpp b/boost/geometry/strategies/cartesian/cart_intersect.hpp
new file mode 100644
index 0000000000..2bf7b77676
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/cart_intersect.hpp
@@ -0,0 +1,502 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_CARTESIAN_INTERSECTION_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_INTERSECTION_HPP
+
+#include <algorithm>
+
+#include <boost/geometry/core/exception.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/concepts/segment_concept.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+// Temporary / will be Strategy as template parameter
+#include <boost/geometry/strategies/side.hpp>
+#include <boost/geometry/strategies/cartesian/side_by_triangle.hpp>
+
+#include <boost/geometry/strategies/side_info.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace intersection
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Segment, size_t Dimension>
+struct segment_arrange
+{
+ template <typename T>
+ static inline void apply(Segment const& s, T& s_1, T& s_2, bool& swapped)
+ {
+ s_1 = get<0, Dimension>(s);
+ s_2 = get<1, Dimension>(s);
+ if (s_1 > s_2)
+ {
+ std::swap(s_1, s_2);
+ swapped = true;
+ }
+ }
+};
+
+template <std::size_t Index, typename Segment>
+inline typename geometry::point_type<Segment>::type get_from_index(
+ Segment const& segment)
+{
+ typedef typename geometry::point_type<Segment>::type point_type;
+ point_type point;
+ geometry::detail::assign::assign_point_from_index
+ <
+ Segment, point_type, Index, 0, dimension<Segment>::type::value
+ >::apply(segment, point);
+ return point;
+}
+
+}
+#endif
+
+/***
+template <typename T>
+inline std::string rdebug(T const& value)
+{
+ if (math::equals(value, 0)) return "'0'";
+ if (math::equals(value, 1)) return "'1'";
+ if (value < 0) return "<0";
+ if (value > 1) return ">1";
+ return "<0..1>";
+}
+***/
+
+/*!
+ \see http://mathworld.wolfram.com/Line-LineIntersection.html
+ */
+template <typename Policy, typename CalculationType = void>
+struct relate_cartesian_segments
+{
+ typedef typename Policy::return_type return_type;
+ typedef typename Policy::segment_type1 segment_type1;
+ typedef typename Policy::segment_type2 segment_type2;
+
+ //typedef typename point_type<segment_type1>::type point_type;
+ //BOOST_CONCEPT_ASSERT( (concept::Point<point_type>) );
+
+ BOOST_CONCEPT_ASSERT( (concept::ConstSegment<segment_type1>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstSegment<segment_type2>) );
+
+ typedef typename select_calculation_type
+ <segment_type1, segment_type2, CalculationType>::type coordinate_type;
+
+ /// Relate segments a and b
+ static inline return_type apply(segment_type1 const& a, segment_type2 const& b)
+ {
+ coordinate_type const dx_a = get<1, 0>(a) - get<0, 0>(a); // distance in x-dir
+ coordinate_type const dx_b = get<1, 0>(b) - get<0, 0>(b);
+ coordinate_type const dy_a = get<1, 1>(a) - get<0, 1>(a); // distance in y-dir
+ coordinate_type const dy_b = get<1, 1>(b) - get<0, 1>(b);
+ return apply(a, b, dx_a, dy_a, dx_b, dy_b);
+ }
+
+
+ // Relate segments a and b using precalculated differences.
+ // This can save two or four subtractions in many cases
+ static inline return_type apply(segment_type1 const& a, segment_type2 const& b,
+ coordinate_type const& dx_a, coordinate_type const& dy_a,
+ coordinate_type const& dx_b, coordinate_type const& dy_b)
+ {
+ // 1) Handle "disjoint", common case.
+ // per dimension, 2 cases: a_1----------a_2 b_1-------b_2 or B left of A
+ coordinate_type ax_1, ax_2, bx_1, bx_2;
+ bool ax_swapped = false, bx_swapped = false;
+ detail::segment_arrange<segment_type1, 0>::apply(a, ax_1, ax_2, ax_swapped);
+ detail::segment_arrange<segment_type2, 0>::apply(b, bx_1, bx_2, bx_swapped);
+ if (ax_2 < bx_1 || ax_1 > bx_2)
+ {
+ return Policy::disjoint();
+ }
+
+ // 1b) In Y-dimension
+ coordinate_type ay_1, ay_2, by_1, by_2;
+ bool ay_swapped = false, by_swapped = false;
+ detail::segment_arrange<segment_type1, 1>::apply(a, ay_1, ay_2, ay_swapped);
+ detail::segment_arrange<segment_type2, 1>::apply(b, by_1, by_2, by_swapped);
+ if (ay_2 < by_1 || ay_1 > by_2)
+ {
+ return Policy::disjoint();
+ }
+
+ typedef side::side_by_triangle<coordinate_type> side;
+ side_info sides;
+
+ // 2) Calculate sides
+ // Note: Do NOT yet calculate the determinant here, but use the SIDE strategy.
+ // Determinant calculation is not robust; side (orient) can be made robust
+ // (and is much robuster even without measures)
+ sides.set<1>
+ (
+ side::apply(detail::get_from_index<0>(a)
+ , detail::get_from_index<1>(a)
+ , detail::get_from_index<0>(b)),
+ side::apply(detail::get_from_index<0>(a)
+ , detail::get_from_index<1>(a)
+ , detail::get_from_index<1>(b))
+ );
+
+ if (sides.same<1>())
+ {
+ // Both points are at same side of other segment, we can leave
+ return Policy::disjoint();
+ }
+
+ // 2b) For other segment
+ sides.set<0>
+ (
+ side::apply(detail::get_from_index<0>(b)
+ , detail::get_from_index<1>(b)
+ , detail::get_from_index<0>(a)),
+ side::apply(detail::get_from_index<0>(b)
+ , detail::get_from_index<1>(b)
+ , detail::get_from_index<1>(a))
+ );
+
+ if (sides.same<0>())
+ {
+ return Policy::disjoint();
+ }
+
+ // Degenerate cases: segments of single point, lying on other segment, non disjoint
+ coordinate_type const zero = 0;
+ if (math::equals(dx_a, zero) && math::equals(dy_a, zero))
+ {
+ return Policy::degenerate(a, true);
+ }
+ if (math::equals(dx_b, zero) && math::equals(dy_b, zero))
+ {
+ return Policy::degenerate(b, false);
+ }
+
+ bool collinear = sides.collinear();
+
+ // Get the same type, but at least a double (also used for divisions)
+ typedef typename select_most_precise
+ <
+ coordinate_type, double
+ >::type promoted_type;
+
+ // Calculate the determinant/2D cross product
+ // (Note, because we only check on zero,
+ // the order a/b does not care)
+ promoted_type const d = geometry::detail::determinant
+ <
+ promoted_type
+ >(dx_a, dy_a, dx_b, dy_b);
+
+ // Determinant d should be nonzero.
+ // If it is zero, we have an robustness issue here,
+ // (and besides that we cannot divide by it)
+ promoted_type const pt_zero = promoted_type();
+ if(math::equals(d, pt_zero) && ! collinear)
+ {
+#ifdef BOOST_GEOMETRY_DEBUG_INTERSECTION
+ std::cout << "Determinant zero? Type : "
+ << typeid(coordinate_type).name()
+ << std::endl;
+
+ std::cout << " dx_a : " << dx_a << std::endl;
+ std::cout << " dy_a : " << dy_a << std::endl;
+ std::cout << " dx_b : " << dx_b << std::endl;
+ std::cout << " dy_b : " << dy_b << std::endl;
+
+ std::cout << " side a <-> b.first : " << sides.get<0,0>() << std::endl;
+ std::cout << " side a <-> b.second: " << sides.get<0,1>() << std::endl;
+ std::cout << " side b <-> a.first : " << sides.get<1,0>() << std::endl;
+ std::cout << " side b <-> a.second: " << sides.get<1,1>() << std::endl;
+#endif
+
+ if (sides.as_collinear())
+ {
+ sides.set<0>(0,0);
+ sides.set<1>(0,0);
+ collinear = true;
+ }
+ else
+ {
+ return Policy::error("Determinant zero!");
+ }
+ }
+
+ if(collinear)
+ {
+ // Segments are collinear. We'll find out how.
+ if (math::equals(dx_b, zero))
+ {
+ // Vertical -> Check y-direction
+ return relate_collinear(a, b,
+ ay_1, ay_2, by_1, by_2,
+ ay_swapped, by_swapped);
+ }
+ else
+ {
+ // Check x-direction
+ return relate_collinear(a, b,
+ ax_1, ax_2, bx_1, bx_2,
+ ax_swapped, bx_swapped);
+ }
+ }
+
+ return Policy::segments_intersect(sides,
+ dx_a, dy_a, dx_b, dy_b,
+ a, b);
+ }
+
+private :
+
+ /// Relate segments known collinear
+ static inline return_type relate_collinear(segment_type1 const& a
+ , segment_type2 const& b
+ , coordinate_type a_1, coordinate_type a_2
+ , coordinate_type b_1, coordinate_type b_2
+ , bool a_swapped, bool b_swapped)
+ {
+ // All ca. 150 lines are about collinear rays
+ // The intersections, if any, are always boundary points of the segments. No need to calculate anything.
+ // However we want to find out HOW they intersect, there are many cases.
+ // Most sources only provide the intersection (above) or that there is a collinearity (but not the points)
+ // or some spare sources give the intersection points (calculated) but not how they align.
+ // This source tries to give everything and still be efficient.
+ // It is therefore (and because of the extensive clarification comments) rather long...
+
+ // \see http://mpa.itc.it/radim/g50history/CMP/4.2.1-CERL-beta-libes/file475.txt
+ // \see http://docs.codehaus.org/display/GEOTDOC/Point+Set+Theory+and+the+DE-9IM+Matrix
+ // \see http://mathworld.wolfram.com/Line-LineIntersection.html
+
+ // Because of collinearity the case is now one-dimensional and can be checked using intervals
+ // This function is called either horizontally or vertically
+ // We get then two intervals:
+ // a_1-------------a_2 where a_1 < a_2
+ // b_1-------------b_2 where b_1 < b_2
+ // In all figures below a_1/a_2 denotes arranged intervals, a1-a2 or a2-a1 are still unarranged
+
+ // Handle "equal", in polygon neighbourhood comparisons a common case
+
+ // Check if segments are equal...
+ bool const a1_eq_b1 = math::equals(get<0, 0>(a), get<0, 0>(b))
+ && math::equals(get<0, 1>(a), get<0, 1>(b));
+ bool const a2_eq_b2 = math::equals(get<1, 0>(a), get<1, 0>(b))
+ && math::equals(get<1, 1>(a), get<1, 1>(b));
+ if (a1_eq_b1 && a2_eq_b2)
+ {
+ return Policy::segment_equal(a, false);
+ }
+
+ // ... or opposite equal
+ bool const a1_eq_b2 = math::equals(get<0, 0>(a), get<1, 0>(b))
+ && math::equals(get<0, 1>(a), get<1, 1>(b));
+ bool const a2_eq_b1 = math::equals(get<1, 0>(a), get<0, 0>(b))
+ && math::equals(get<1, 1>(a), get<0, 1>(b));
+ if (a1_eq_b2 && a2_eq_b1)
+ {
+ return Policy::segment_equal(a, true);
+ }
+
+
+ // The rest below will return one or two intersections.
+ // The delegated class can decide which is the intersection point, or two, build the Intersection Matrix (IM)
+ // For IM it is important to know which relates to which. So this information is given,
+ // without performance penalties to intersection calculation
+
+ bool const has_common_points = a1_eq_b1 || a1_eq_b2 || a2_eq_b1 || a2_eq_b2;
+
+
+ // "Touch" -> one intersection point -> one but not two common points
+ // --------> A (or B)
+ // <---------- B (or A)
+ // a_2==b_1 (b_2==a_1 or a_2==b1)
+
+ // The check a_2/b_1 is necessary because it excludes cases like
+ // ------->
+ // --->
+ // ... which are handled lateron
+
+ // Corresponds to 4 cases, of which the equal points are determined above
+ // #1: a1---->a2 b1--->b2 (a arrives at b's border)
+ // #2: a2<----a1 b2<---b1 (b arrives at a's border)
+ // #3: a1---->a2 b2<---b1 (both arrive at each others border)
+ // #4: a2<----a1 b1--->b2 (no arrival at all)
+ // Where the arranged forms have two forms:
+ // a_1-----a_2/b_1-------b_2 or reverse (B left of A)
+ if (has_common_points && (math::equals(a_2, b_1) || math::equals(b_2, a_1)))
+ {
+ if (a2_eq_b1) return Policy::collinear_touch(get<1, 0>(a), get<1, 1>(a), 0, -1);
+ if (a1_eq_b2) return Policy::collinear_touch(get<0, 0>(a), get<0, 1>(a), -1, 0);
+ if (a2_eq_b2) return Policy::collinear_touch(get<1, 0>(a), get<1, 1>(a), 0, 0);
+ if (a1_eq_b1) return Policy::collinear_touch(get<0, 0>(a), get<0, 1>(a), -1, -1);
+ }
+
+
+ // "Touch/within" -> there are common points and also an intersection of interiors:
+ // Corresponds to many cases:
+ // #1a: a1------->a2 #1b: a1-->a2
+ // b1--->b2 b1------->b2
+ // #2a: a2<-------a1 #2b: a2<--a1
+ // b1--->b2 b1------->b2
+ // #3a: a1------->a2 #3b: a1-->a2
+ // b2<---b1 b2<-------b1
+ // #4a: a2<-------a1 #4b: a2<--a1
+ // b2<---b1 b2<-------b1
+
+ // Note: next cases are similar and handled by the code
+ // #4c: a1--->a2
+ // b1-------->b2
+ // #4d: a1-------->a2
+ // b1-->b2
+
+ // For case 1-4: a_1 < (b_1 or b_2) < a_2, two intersections are equal to segment B
+ // For case 5-8: b_1 < (a_1 or a_2) < b_2, two intersections are equal to segment A
+ if (has_common_points)
+ {
+ // Either A is in B, or B is in A, or (in case of robustness/equals)
+ // both are true, see below
+ bool a_in_b = (b_1 < a_1 && a_1 < b_2) || (b_1 < a_2 && a_2 < b_2);
+ bool b_in_a = (a_1 < b_1 && b_1 < a_2) || (a_1 < b_2 && b_2 < a_2);
+
+ if (a_in_b && b_in_a)
+ {
+ // testcase "ggl_list_20110306_javier"
+ // In robustness it can occur that a point of A is inside B AND a point of B is inside A,
+ // still while has_common_points is true (so one point equals the other).
+ // If that is the case we select on length.
+ coordinate_type const length_a = geometry::math::abs(a_1 - a_2);
+ coordinate_type const length_b = geometry::math::abs(b_1 - b_2);
+ if (length_a > length_b)
+ {
+ a_in_b = false;
+ }
+ else
+ {
+ b_in_a = false;
+ }
+ }
+
+ int const arrival_a = a_in_b ? 1 : -1;
+ if (a2_eq_b2) return Policy::collinear_interior_boundary_intersect(a_in_b ? a : b, a_in_b, 0, 0, false);
+ if (a1_eq_b2) return Policy::collinear_interior_boundary_intersect(a_in_b ? a : b, a_in_b, arrival_a, 0, true);
+ if (a2_eq_b1) return Policy::collinear_interior_boundary_intersect(a_in_b ? a : b, a_in_b, 0, -arrival_a, true);
+ if (a1_eq_b1) return Policy::collinear_interior_boundary_intersect(a_in_b ? a : b, a_in_b, arrival_a, -arrival_a, false);
+ }
+
+ bool const opposite = a_swapped ^ b_swapped;
+
+
+ // "Inside", a completely within b or b completely within a
+ // 2 cases:
+ // case 1:
+ // a_1---a_2 -> take A's points as intersection points
+ // b_1------------b_2
+ // case 2:
+ // a_1------------a_2
+ // b_1---b_2 -> take B's points
+ if (a_1 > b_1 && a_2 < b_2)
+ {
+ // A within B
+ return Policy::collinear_a_in_b(a, opposite);
+ }
+ if (b_1 > a_1 && b_2 < a_2)
+ {
+ // B within A
+ return Policy::collinear_b_in_a(b, opposite);
+ }
+
+
+ /*
+
+ Now that all cases with equal,touch,inside,disjoint,
+ degenerate are handled the only thing left is an overlap
+
+ Either a1 is between b1,b2
+ or a2 is between b1,b2 (a2 arrives)
+
+ Next table gives an overview.
+ The IP's are ordered following the line A1->A2
+
+ | |
+ | a_2 in between | a_1 in between
+ | |
+ -----+---------------------------------+--------------------------
+ | a1--------->a2 | a1--------->a2
+ | b1----->b2 | b1----->b2
+ | (b1,a2), a arrives | (a1,b2), b arrives
+ | |
+ -----+---------------------------------+--------------------------
+ a sw.| a2<---------a1* | a2<---------a1*
+ | b1----->b2 | b1----->b2
+ | (a1,b1), no arrival | (b2,a2), a and b arrive
+ | |
+ -----+---------------------------------+--------------------------
+ | a1--------->a2 | a1--------->a2
+ b sw.| b2<-----b1 | b2<-----b1
+ | (b2,a2), a and b arrive | (a1,b1), no arrival
+ | |
+ -----+---------------------------------+--------------------------
+ a sw.| a2<---------a1* | a2<---------a1*
+ b sw.| b2<-----b1 | b2<-----b1
+ | (a1,b2), b arrives | (b1,a2), a arrives
+ | |
+ -----+---------------------------------+--------------------------
+ * Note that a_1 < a_2, and a1 <> a_1; if a is swapped,
+ the picture might seem wrong but it (supposed to be) is right.
+ */
+
+ bool const both_swapped = a_swapped && b_swapped;
+ if (b_1 < a_2 && a_2 < b_2)
+ {
+ // Left column, from bottom to top
+ return
+ both_swapped ? Policy::collinear_overlaps(get<0, 0>(a), get<0, 1>(a), get<1, 0>(b), get<1, 1>(b), -1, 1, opposite)
+ : b_swapped ? Policy::collinear_overlaps(get<1, 0>(b), get<1, 1>(b), get<1, 0>(a), get<1, 1>(a), 1, 1, opposite)
+ : a_swapped ? Policy::collinear_overlaps(get<0, 0>(a), get<0, 1>(a), get<0, 0>(b), get<0, 1>(b), -1, -1, opposite)
+ : Policy::collinear_overlaps(get<0, 0>(b), get<0, 1>(b), get<1, 0>(a), get<1, 1>(a), 1, -1, opposite)
+ ;
+ }
+ if (b_1 < a_1 && a_1 < b_2)
+ {
+ // Right column, from bottom to top
+ return
+ both_swapped ? Policy::collinear_overlaps(get<0, 0>(b), get<0, 1>(b), get<1, 0>(a), get<1, 1>(a), 1, -1, opposite)
+ : b_swapped ? Policy::collinear_overlaps(get<0, 0>(a), get<0, 1>(a), get<0, 0>(b), get<0, 1>(b), -1, -1, opposite)
+ : a_swapped ? Policy::collinear_overlaps(get<1, 0>(b), get<1, 1>(b), get<1, 0>(a), get<1, 1>(a), 1, 1, opposite)
+ : Policy::collinear_overlaps(get<0, 0>(a), get<0, 1>(a), get<1, 0>(b), get<1, 1>(b), -1, 1, opposite)
+ ;
+ }
+ // Nothing should goes through. If any we have made an error
+ // Robustness: it can occur here...
+ return Policy::error("Robustness issue, non-logical behaviour");
+ }
+};
+
+
+}} // namespace strategy::intersection
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_INTERSECTION_HPP
diff --git a/boost/geometry/strategies/cartesian/centroid_bashein_detmer.hpp b/boost/geometry/strategies/cartesian/centroid_bashein_detmer.hpp
new file mode 100644
index 0000000000..8b42715e0b
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/centroid_bashein_detmer.hpp
@@ -0,0 +1,242 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_CENTROID_BASHEIN_DETMER_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_CENTROID_BASHEIN_DETMER_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/strategies/centroid.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+// Note: when calling the namespace "centroid", it sometimes,
+// somehow, in gcc, gives compilation problems (confusion with function centroid).
+
+namespace strategy { namespace centroid
+{
+
+
+
+/*!
+\brief Centroid calculation using algorith Bashein / Detmer
+\ingroup strategies
+\details Calculates centroid using triangulation method published by
+ Bashein / Detmer
+\tparam Point point type of centroid to calculate
+\tparam PointOfSegment point type of segments, defaults to Point
+\par Concepts for Point and PointOfSegment:
+- specialized point_traits class
+\author Adapted from "Centroid of a Polygon" by
+ Gerard Bashein and Paul R. Detmer<em>,
+in "Graphics Gems IV", Academic Press, 1994</em>
+\par Research notes
+The algorithm gives the same results as Oracle and PostGIS but
+ differs from MySQL
+(tried 5.0.21 / 5.0.45 / 5.0.51a / 5.1.23).
+
+Without holes:
+- this: POINT(4.06923363095238 1.65055803571429)
+- geolib: POINT(4.07254 1.66819)
+- MySQL: POINT(3.6636363636364 1.6272727272727)'
+- PostGIS: POINT(4.06923363095238 1.65055803571429)
+- Oracle: 4.06923363095238 1.65055803571429
+- SQL Server: POINT(4.06923362245959 1.65055804168294)
+
+Statements:
+- \b MySQL/PostGIS: select AsText(Centroid(GeomFromText(
+ 'POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 3,5.3 2.6
+ ,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3))')))
+- \b Oracle: select sdo_geom.sdo_centroid(sdo_geometry(2003, null, null,
+ sdo_elem_info_array(1, 1003, 1), sdo_ordinate_array(
+ 2,1.3,2.4,1.7,2.8,1.8,3.4,1.2,3.7,1.6,3.4,2,4.1,3,5.3,2.6
+ ,5.4,1.2,4.9,0.8,2.9,0.7,2,1.3))
+ , mdsys.sdo_dim_array(mdsys.sdo_dim_element('x',0,10,.00000005)
+ ,mdsys.sdo_dim_element('y',0,10,.00000005)))
+ from dual
+- \b SQL Server 2008: select geometry::STGeomFromText(
+ 'POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 3,5.3 2.6
+ ,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3))',0)
+ .STCentroid()
+ .STAsText()
+
+With holes:
+- this: POINT(4.04663 1.6349)
+- geolib: POINT(4.04675 1.65735)
+- MySQL: POINT(3.6090580503834 1.607573932092)
+- PostGIS: POINT(4.0466265060241 1.63489959839357)
+- Oracle: 4.0466265060241 1.63489959839357
+- SQL Server: POINT(4.0466264962959677 1.6348996057331333)
+
+Statements:
+- \b MySQL/PostGIS: select AsText(Centroid(GeomFromText(
+ 'POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2
+ ,3.7 1.6,3.4 2,4.1 3,5.3 2.6,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3)
+ ,(4 2,4.2 1.4,4.8 1.9,4.4 2.2,4 2))')));
+- \b Oracle: select sdo_geom.sdo_centroid(sdo_geometry(2003, null, null
+ , sdo_elem_info_array(1, 1003, 1, 25, 2003, 1)
+ , sdo_ordinate_array(2,1.3,2.4,1.7,2.8,1.8,3.4,1.2,3.7,1.6,3.4,
+ 2,4.1,3,5.3,2.6,5.4,1.2,4.9,0.8,2.9,0.7,2,1.3,4,2, 4.2,1.4,
+ 4.8,1.9, 4.4,2.2, 4,2))
+ , mdsys.sdo_dim_array(mdsys.sdo_dim_element('x',0,10,.00000005)
+ ,mdsys.sdo_dim_element('y',0,10,.00000005)))
+ from dual
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.centroid.centroid_3_with_strategy centroid (with strategy)]
+}
+
+ */
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void
+>
+class bashein_detmer
+{
+private :
+ // If user specified a calculation type, use that type,
+ // whatever it is and whatever the point-type(s) are.
+ // Else, use the most appropriate coordinate type
+ // of the two points, but at least double
+ typedef typename
+ boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+ typename select_most_precise
+ <
+ typename select_coordinate_type
+ <
+ Point,
+ PointOfSegment
+ >::type,
+ double
+ >::type,
+ CalculationType
+ >::type calculation_type;
+
+ /*! subclass to keep state */
+ class sums
+ {
+ friend class bashein_detmer;
+ int count;
+ calculation_type sum_a2;
+ calculation_type sum_x;
+ calculation_type sum_y;
+
+ public :
+ inline sums()
+ : count(0)
+ , sum_a2(calculation_type())
+ , sum_x(calculation_type())
+ , sum_y(calculation_type())
+ {
+ typedef calculation_type ct;
+ }
+ };
+
+public :
+ typedef sums state_type;
+
+ static inline void apply(PointOfSegment const& p1,
+ PointOfSegment const& p2, sums& state)
+ {
+ /* Algorithm:
+ For each segment:
+ begin
+ ai = x1 * y2 - x2 * y1;
+ sum_a2 += ai;
+ sum_x += ai * (x1 + x2);
+ sum_y += ai * (y1 + y2);
+ end
+ return POINT(sum_x / (3 * sum_a2), sum_y / (3 * sum_a2) )
+ */
+
+ // Get coordinates and promote them to calculation_type
+ calculation_type const x1 = boost::numeric_cast<calculation_type>(get<0>(p1));
+ calculation_type const y1 = boost::numeric_cast<calculation_type>(get<1>(p1));
+ calculation_type const x2 = boost::numeric_cast<calculation_type>(get<0>(p2));
+ calculation_type const y2 = boost::numeric_cast<calculation_type>(get<1>(p2));
+ calculation_type const ai = geometry::detail::determinant<calculation_type>(p1, p2);
+ state.count++;
+ state.sum_a2 += ai;
+ state.sum_x += ai * (x1 + x2);
+ state.sum_y += ai * (y1 + y2);
+ }
+
+ static inline bool result(sums const& state, Point& centroid)
+ {
+ calculation_type const zero = calculation_type();
+ if (state.count > 0 && ! math::equals(state.sum_a2, zero))
+ {
+ calculation_type const v3 = 3;
+ calculation_type const a3 = v3 * state.sum_a2;
+
+ typedef typename geometry::coordinate_type
+ <
+ Point
+ >::type coordinate_type;
+
+ set<0>(centroid,
+ boost::numeric_cast<coordinate_type>(state.sum_x / a3));
+ set<1>(centroid,
+ boost::numeric_cast<coordinate_type>(state.sum_y / a3));
+ return true;
+ }
+
+ return false;
+ }
+
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+// Register this strategy for rings and (multi)polygons, in two dimensions
+template <typename Point, typename Geometry>
+struct default_strategy<cartesian_tag, areal_tag, 2, Point, Geometry>
+{
+ typedef bashein_detmer
+ <
+ Point,
+ typename point_type<Geometry>::type
+ > type;
+};
+
+
+} // namespace services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::centroid
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_CENTROID_BASHEIN_DETMER_HPP
diff --git a/boost/geometry/strategies/cartesian/centroid_weighted_length.hpp b/boost/geometry/strategies/cartesian/centroid_weighted_length.hpp
new file mode 100644
index 0000000000..48feae51df
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/centroid_weighted_length.hpp
@@ -0,0 +1,144 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+// Copyright (c) 2009-2012 Barend Gehrels, Amsterdam, the Netherlands.
+
+// 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_STRATEGIES_CARTESIAN_CENTROID_WEIGHTED_LENGTH_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_CENTROID_WEIGHTED_LENGTH_HPP
+
+#include <boost/geometry/algorithms/distance.hpp>
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+#include <boost/geometry/strategies/centroid.hpp>
+#include <boost/geometry/strategies/default_distance_result.hpp>
+
+// Helper geometry
+#include <boost/geometry/geometries/point.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace centroid
+{
+
+namespace detail
+{
+
+template <typename Type, std::size_t DimensionCount>
+struct weighted_length_sums
+{
+ typedef typename geometry::model::point
+ <
+ Type, DimensionCount,
+ cs::cartesian
+ > work_point;
+
+ Type length;
+ work_point average_sum;
+
+ inline weighted_length_sums()
+ : length(Type())
+ {
+ geometry::assign_zero(average_sum);
+ }
+};
+}
+
+template
+<
+ typename Point,
+ typename PointOfSegment = Point
+>
+class weighted_length
+{
+private :
+ typedef typename select_most_precise
+ <
+ typename default_distance_result<Point>::type,
+ typename default_distance_result<PointOfSegment>::type
+ >::type distance_type;
+
+public :
+ typedef detail::weighted_length_sums
+ <
+ distance_type,
+ geometry::dimension<Point>::type::value
+ > state_type;
+
+ static inline void apply(PointOfSegment const& p1,
+ PointOfSegment const& p2, state_type& state)
+ {
+ distance_type const d = geometry::distance(p1, p2);
+ state.length += d;
+
+ typename state_type::work_point weighted_median;
+ geometry::assign_zero(weighted_median);
+ geometry::add_point(weighted_median, p1);
+ geometry::add_point(weighted_median, p2);
+ geometry::multiply_value(weighted_median, d/2);
+ geometry::add_point(state.average_sum, weighted_median);
+ }
+
+ static inline bool result(state_type const& state, Point& centroid)
+ {
+ distance_type const zero = distance_type();
+ if (! geometry::math::equals(state.length, zero))
+ {
+ assign_zero(centroid);
+ add_point(centroid, state.average_sum);
+ divide_value(centroid, state.length);
+ return true;
+ }
+
+ return false;
+ }
+
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+
+// Register this strategy for linear geometries, in all dimensions
+
+template <std::size_t N, typename Point, typename Geometry>
+struct default_strategy
+<
+ cartesian_tag,
+ linear_tag,
+ N,
+ Point,
+ Geometry
+>
+{
+ typedef weighted_length
+ <
+ Point,
+ typename point_type<Geometry>::type
+ > type;
+};
+
+
+} // namespace services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::centroid
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_CENTROID_WEIGHTED_LENGTH_HPP
diff --git a/boost/geometry/strategies/cartesian/distance_projected_point.hpp b/boost/geometry/strategies/cartesian/distance_projected_point.hpp
new file mode 100644
index 0000000000..e704a33105
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/distance_projected_point.hpp
@@ -0,0 +1,315 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_STRATEGIES_CARTESIAN_DISTANCE_PROJECTED_POINT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PROJECTED_POINT_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/point_type.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/arithmetic/dot_product.hpp>
+
+#include <boost/geometry/strategies/tags.hpp>
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/default_distance_result.hpp>
+#include <boost/geometry/strategies/cartesian/distance_pythagoras.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+// Helper geometry (projected point on line)
+#include <boost/geometry/geometries/point.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace distance
+{
+
+
+/*!
+\brief Strategy for distance point to segment
+\ingroup strategies
+\details Calculates distance using projected-point method, and (optionally) Pythagoras
+\author Adapted from: http://geometryalgorithms.com/Archive/algorithm_0102/algorithm_0102.htm
+\tparam Point \tparam_point
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\tparam Strategy underlying point-point distance strategy
+\par Concepts for Strategy:
+- cartesian_distance operator(Point,Point)
+\note If the Strategy is a "comparable::pythagoras", this strategy
+ automatically is a comparable projected_point strategy (so without sqrt)
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.distance.distance_3_with_strategy distance (with strategy)]
+}
+
+*/
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void,
+ typename Strategy = pythagoras<Point, PointOfSegment, CalculationType>
+>
+class projected_point
+{
+public :
+ typedef typename strategy::distance::services::return_type<Strategy>::type calculation_type;
+
+private :
+
+ // The three typedefs below are necessary to calculate distances
+ // from segments defined in integer coordinates.
+
+ // Integer coordinates can still result in FP distances.
+ // There is a division, which must be represented in FP.
+ // So promote.
+ typedef typename promote_floating_point<calculation_type>::type fp_type;
+
+ // A projected point of points in Integer coordinates must be able to be
+ // represented in FP.
+ typedef model::point
+ <
+ fp_type,
+ dimension<PointOfSegment>::value,
+ typename coordinate_system<PointOfSegment>::type
+ > fp_point_type;
+
+ // For convenience
+ typedef fp_point_type fp_vector_type;
+
+ // We have to use a strategy using FP coordinates (fp-type) which is
+ // not always the same as Strategy (defined as point_strategy_type)
+ // So we create a "similar" one
+ typedef typename strategy::distance::services::similar_type
+ <
+ Strategy,
+ Point,
+ fp_point_type
+ >::type fp_strategy_type;
+
+public :
+
+ inline calculation_type apply(Point const& p,
+ PointOfSegment const& p1, PointOfSegment const& p2) const
+ {
+ assert_dimension_equal<Point, PointOfSegment>();
+
+ /*
+ Algorithm [p1: (x1,y1), p2: (x2,y2), p: (px,py)]
+ VECTOR v(x2 - x1, y2 - y1)
+ VECTOR w(px - x1, py - y1)
+ c1 = w . v
+ c2 = v . v
+ b = c1 / c2
+ RETURN POINT(x1 + b * vx, y1 + b * vy)
+ */
+
+ // v is multiplied below with a (possibly) FP-value, so should be in FP
+ // For consistency we define w also in FP
+ fp_vector_type v, w;
+
+ geometry::convert(p2, v);
+ geometry::convert(p, w);
+ subtract_point(v, p1);
+ subtract_point(w, p1);
+
+ Strategy strategy;
+ boost::ignore_unused_variable_warning(strategy);
+
+ calculation_type const zero = calculation_type();
+ fp_type const c1 = dot_product(w, v);
+ if (c1 <= zero)
+ {
+ return strategy.apply(p, p1);
+ }
+ fp_type const c2 = dot_product(v, v);
+ if (c2 <= c1)
+ {
+ return strategy.apply(p, p2);
+ }
+
+ // See above, c1 > 0 AND c2 > c1 so: c2 != 0
+ fp_type const b = c1 / c2;
+
+ fp_strategy_type fp_strategy
+ = strategy::distance::services::get_similar
+ <
+ Strategy, Point, fp_point_type
+ >::apply(strategy);
+
+ fp_point_type projected;
+ geometry::convert(p1, projected);
+ multiply_value(v, b);
+ add_point(projected, v);
+
+ //std::cout << "distance " << dsv(p) << " .. " << dsv(projected) << std::endl;
+
+ return fp_strategy.apply(p, projected);
+ }
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct tag<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef strategy_tag_distance_point_segment type;
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct return_type<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef typename projected_point<Point, PointOfSegment, CalculationType, Strategy>::calculation_type type;
+};
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct strategy_point_point<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef Strategy type;
+};
+
+
+template
+<
+ typename Point,
+ typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy,
+ typename P1,
+ typename P2
+>
+struct similar_type<projected_point<Point, PointOfSegment, CalculationType, Strategy>, P1, P2>
+{
+ typedef projected_point<P1, P2, CalculationType, Strategy> type;
+};
+
+
+template
+<
+ typename Point,
+ typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy,
+ typename P1,
+ typename P2
+>
+struct get_similar<projected_point<Point, PointOfSegment, CalculationType, Strategy>, P1, P2>
+{
+ static inline typename similar_type
+ <
+ projected_point<Point, PointOfSegment, CalculationType, Strategy>, P1, P2
+ >::type apply(projected_point<Point, PointOfSegment, CalculationType, Strategy> const& )
+ {
+ return projected_point<P1, P2, CalculationType, Strategy>();
+ }
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct comparable_type<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ // Define a projected_point strategy with its underlying point-point-strategy
+ // being comparable
+ typedef projected_point
+ <
+ Point,
+ PointOfSegment,
+ CalculationType,
+ typename comparable_type<Strategy>::type
+ > type;
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct get_comparable<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef typename comparable_type
+ <
+ projected_point<Point, PointOfSegment, CalculationType, Strategy>
+ >::type comparable_type;
+public :
+ static inline comparable_type apply(projected_point<Point, PointOfSegment, CalculationType, Strategy> const& )
+ {
+ return comparable_type();
+ }
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct result_from_distance<projected_point<Point, PointOfSegment, CalculationType, Strategy> >
+{
+private :
+ typedef typename return_type<projected_point<Point, PointOfSegment, CalculationType, Strategy> >::type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(projected_point<Point, PointOfSegment, CalculationType, Strategy> const& , T const& value)
+ {
+ Strategy s;
+ return result_from_distance<Strategy>::apply(s, value);
+ }
+};
+
+
+// Get default-strategy for point-segment distance calculation
+// while still have the possibility to specify point-point distance strategy (PPS)
+// It is used in algorithms/distance.hpp where users specify PPS for distance
+// of point-to-segment or point-to-linestring.
+// Convenient for geographic coordinate systems especially.
+template <typename Point, typename PointOfSegment, typename Strategy>
+struct default_strategy<segment_tag, Point, PointOfSegment, cartesian_tag, cartesian_tag, Strategy>
+{
+ typedef strategy::distance::projected_point
+ <
+ Point,
+ PointOfSegment,
+ void,
+ typename boost::mpl::if_
+ <
+ boost::is_void<Strategy>,
+ typename default_strategy
+ <
+ point_tag, Point, PointOfSegment,
+ cartesian_tag, cartesian_tag
+ >::type,
+ Strategy
+ >::type
+ > type;
+};
+
+
+} // namespace services
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::distance
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PROJECTED_POINT_HPP
diff --git a/boost/geometry/strategies/cartesian/distance_pythagoras.hpp b/boost/geometry/strategies/cartesian/distance_pythagoras.hpp
new file mode 100644
index 0000000000..51d2722663
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/distance_pythagoras.hpp
@@ -0,0 +1,349 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2009-2012 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_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/access.hpp>
+
+#include <boost/geometry/strategies/distance.hpp>
+
+#include <boost/geometry/util/calculation_type.hpp>
+
+
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace distance
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Point1, typename Point2, size_t I, typename T>
+struct compute_pythagoras
+{
+ static inline T apply(Point1 const& p1, Point2 const& p2)
+ {
+ T const c1 = boost::numeric_cast<T>(get<I-1>(p2));
+ T const c2 = boost::numeric_cast<T>(get<I-1>(p1));
+ T const d = c1 - c2;
+ return d * d + compute_pythagoras<Point1, Point2, I-1, T>::apply(p1, p2);
+ }
+};
+
+template <typename Point1, typename Point2, typename T>
+struct compute_pythagoras<Point1, Point2, 0, T>
+{
+ static inline T apply(Point1 const&, Point2 const&)
+ {
+ return boost::numeric_cast<T>(0);
+ }
+};
+
+}
+#endif // DOXYGEN_NO_DETAIL
+
+
+namespace comparable
+{
+
+/*!
+\brief Strategy to calculate comparable distance between two points
+\ingroup strategies
+\tparam Point1 \tparam_first_point
+\tparam Point2 \tparam_second_point
+\tparam CalculationType \tparam_calculation
+*/
+template
+<
+ typename Point1,
+ typename Point2 = Point1,
+ typename CalculationType = void
+>
+class pythagoras
+{
+public :
+
+ typedef typename util::calculation_type::geometric::binary
+ <
+ Point1,
+ Point2,
+ CalculationType
+ >::type calculation_type;
+
+ static inline calculation_type apply(Point1 const& p1, Point2 const& p2)
+ {
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point1>) );
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point2>) );
+
+ // Calculate distance using Pythagoras
+ // (Leave comment above for Doxygen)
+
+ assert_dimension_equal<Point1, Point2>();
+
+ return detail::compute_pythagoras
+ <
+ Point1, Point2,
+ dimension<Point1>::value,
+ calculation_type
+ >::apply(p1, p2);
+ }
+};
+
+} // namespace comparable
+
+
+/*!
+\brief Strategy to calculate the distance between two points
+\ingroup strategies
+\tparam Point1 \tparam_first_point
+\tparam Point2 \tparam_second_point
+\tparam CalculationType \tparam_calculation
+
+\qbk{
+[heading Notes]
+[note Can be used for points with two\, three or more dimensions]
+[heading See also]
+[link geometry.reference.algorithms.distance.distance_3_with_strategy distance (with strategy)]
+}
+
+*/
+template
+<
+ typename Point1,
+ typename Point2 = Point1,
+ typename CalculationType = void
+>
+class pythagoras
+{
+ typedef comparable::pythagoras<Point1, Point2, CalculationType> comparable_type;
+public :
+ typedef typename util::calculation_type::geometric::binary
+ <
+ Point1,
+ Point2,
+ CalculationType,
+ double,
+ double // promote integer to double
+ >::type calculation_type;
+
+ /*!
+ \brief applies the distance calculation using pythagoras
+ \return the calculated distance (including taking the square root)
+ \param p1 first point
+ \param p2 second point
+ */
+ static inline calculation_type apply(Point1 const& p1, Point2 const& p2)
+ {
+ calculation_type const t = comparable_type::apply(p1, p2);
+ return sqrt(t);
+ }
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct tag<pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef strategy_tag_distance_point_point type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct return_type<pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef typename pythagoras<Point1, Point2, CalculationType>::calculation_type type;
+};
+
+
+template
+<
+ typename Point1,
+ typename Point2,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct similar_type<pythagoras<Point1, Point2, CalculationType>, P1, P2>
+{
+ typedef pythagoras<P1, P2, CalculationType> type;
+};
+
+
+template
+<
+ typename Point1,
+ typename Point2,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct get_similar<pythagoras<Point1, Point2, CalculationType>, P1, P2>
+{
+ static inline typename similar_type
+ <
+ pythagoras<Point1, Point2, CalculationType>, P1, P2
+ >::type apply(pythagoras<Point1, Point2, CalculationType> const& )
+ {
+ return pythagoras<P1, P2, CalculationType>();
+ }
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct comparable_type<pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef comparable::pythagoras<Point1, Point2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct get_comparable<pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef comparable::pythagoras<Point1, Point2, CalculationType> comparable_type;
+public :
+ static inline comparable_type apply(pythagoras<Point1, Point2, CalculationType> const& )
+ {
+ return comparable_type();
+ }
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct result_from_distance<pythagoras<Point1, Point2, CalculationType> >
+{
+private :
+ typedef typename return_type<pythagoras<Point1, Point2, CalculationType> >::type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(pythagoras<Point1, Point2, CalculationType> const& , T const& value)
+ {
+ return return_type(value);
+ }
+};
+
+
+// Specializations for comparable::pythagoras
+template <typename Point1, typename Point2, typename CalculationType>
+struct tag<comparable::pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef strategy_tag_distance_point_point type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct return_type<comparable::pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef typename comparable::pythagoras<Point1, Point2, CalculationType>::calculation_type type;
+};
+
+
+
+
+template
+<
+ typename Point1,
+ typename Point2,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct similar_type<comparable::pythagoras<Point1, Point2, CalculationType>, P1, P2>
+{
+ typedef comparable::pythagoras<P1, P2, CalculationType> type;
+};
+
+
+template
+<
+ typename Point1,
+ typename Point2,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct get_similar<comparable::pythagoras<Point1, Point2, CalculationType>, P1, P2>
+{
+ static inline typename similar_type
+ <
+ comparable::pythagoras<Point1, Point2, CalculationType>, P1, P2
+ >::type apply(comparable::pythagoras<Point1, Point2, CalculationType> const& )
+ {
+ return comparable::pythagoras<P1, P2, CalculationType>();
+ }
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct comparable_type<comparable::pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef comparable::pythagoras<Point1, Point2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct get_comparable<comparable::pythagoras<Point1, Point2, CalculationType> >
+{
+ typedef comparable::pythagoras<Point1, Point2, CalculationType> comparable_type;
+public :
+ static inline comparable_type apply(comparable::pythagoras<Point1, Point2, CalculationType> const& )
+ {
+ return comparable_type();
+ }
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct result_from_distance<comparable::pythagoras<Point1, Point2, CalculationType> >
+{
+private :
+ typedef typename return_type<comparable::pythagoras<Point1, Point2, CalculationType> >::type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(comparable::pythagoras<Point1, Point2, CalculationType> const& , T const& value)
+ {
+ return_type const v = value;
+ return v * v;
+ }
+};
+
+
+template <typename Point1, typename Point2>
+struct default_strategy<point_tag, Point1, Point2, cartesian_tag, cartesian_tag, void>
+{
+ typedef pythagoras<Point1, Point2> type;
+};
+
+
+} // namespace services
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::distance
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_HPP
diff --git a/boost/geometry/strategies/cartesian/point_in_box.hpp b/boost/geometry/strategies/cartesian/point_in_box.hpp
new file mode 100644
index 0000000000..275f7550e4
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/point_in_box.hpp
@@ -0,0 +1,172 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_POINT_IN_BOX_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_BOX_HPP
+
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/strategies/covered_by.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+
+namespace boost { namespace geometry { namespace strategy
+{
+
+namespace within
+{
+
+
+struct within_range
+{
+ template <typename Value1, typename Value2>
+ static inline bool apply(Value1 const& value, Value2 const& min_value, Value2 const& max_value)
+ {
+ return value > min_value && value < max_value;
+ }
+};
+
+
+struct covered_by_range
+{
+ template <typename Value1, typename Value2>
+ static inline bool apply(Value1 const& value, Value2 const& min_value, Value2 const& max_value)
+ {
+ return value >= min_value && value <= max_value;
+ }
+};
+
+
+template
+<
+ typename SubStrategy,
+ typename Point,
+ typename Box,
+ std::size_t Dimension,
+ std::size_t DimensionCount
+>
+struct relate_point_box_loop
+{
+ static inline bool apply(Point const& point, Box const& box)
+ {
+ if (! SubStrategy::apply(get<Dimension>(point),
+ get<min_corner, Dimension>(box),
+ get<max_corner, Dimension>(box))
+ )
+ {
+ return false;
+ }
+
+ return relate_point_box_loop
+ <
+ SubStrategy,
+ Point, Box,
+ Dimension + 1, DimensionCount
+ >::apply(point, box);
+ }
+};
+
+
+template
+<
+ typename SubStrategy,
+ typename Point,
+ typename Box,
+ std::size_t DimensionCount
+>
+struct relate_point_box_loop<SubStrategy, Point, Box, DimensionCount, DimensionCount>
+{
+ static inline bool apply(Point const& , Box const& )
+ {
+ return true;
+ }
+};
+
+
+template
+<
+ typename Point,
+ typename Box,
+ typename SubStrategy = within_range
+>
+struct point_in_box
+{
+ static inline bool apply(Point const& point, Box const& box)
+ {
+ return relate_point_box_loop
+ <
+ SubStrategy,
+ Point, Box,
+ 0, dimension<Point>::type::value
+ >::apply(point, box);
+ }
+};
+
+
+} // namespace within
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+namespace within { namespace services
+{
+
+template <typename Point, typename Box>
+struct default_strategy
+ <
+ point_tag, box_tag,
+ point_tag, areal_tag,
+ cartesian_tag, cartesian_tag,
+ Point, Box
+ >
+{
+ typedef within::point_in_box<Point, Box> type;
+};
+
+
+}} // namespace within::services
+
+
+namespace covered_by { namespace services
+{
+
+
+template <typename Point, typename Box>
+struct default_strategy
+ <
+ point_tag, box_tag,
+ point_tag, areal_tag,
+ cartesian_tag, cartesian_tag,
+ Point, Box
+ >
+{
+ typedef within::point_in_box
+ <
+ Point, Box,
+ within::covered_by_range
+ > type;
+};
+
+
+}} // namespace covered_by::services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}}} // namespace boost::geometry::strategy
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_BOX_HPP
diff --git a/boost/geometry/strategies/cartesian/point_in_poly_crossings_multiply.hpp b/boost/geometry/strategies/cartesian/point_in_poly_crossings_multiply.hpp
new file mode 100644
index 0000000000..94da5cc677
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/point_in_poly_crossings_multiply.hpp
@@ -0,0 +1,124 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_POINT_IN_POLY_CROSSINGS_MULTIPLY_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_POLY_CROSSINGS_MULTIPLY_HPP
+
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace within
+{
+
+/*!
+\brief Within detection using cross counting,
+\ingroup strategies
+\tparam Point \tparam_point
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\see http://tog.acm.org/resources/GraphicsGems/gemsiv/ptpoly_haines/ptinpoly.c
+\note Does NOT work correctly for point ON border
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.within.within_3_with_strategy within (with strategy)]
+}
+ */
+
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void
+>
+class crossings_multiply
+{
+ typedef typename select_calculation_type
+ <
+ Point,
+ PointOfSegment,
+ CalculationType
+ >::type calculation_type;
+
+ class flags
+ {
+ bool inside_flag;
+ bool first;
+ bool yflag0;
+
+ public :
+
+ friend class crossings_multiply;
+
+ inline flags()
+ : inside_flag(false)
+ , first(true)
+ , yflag0(false)
+ {}
+ };
+
+public :
+
+ typedef Point point_type;
+ typedef PointOfSegment segment_point_type;
+ typedef flags state_type;
+
+ static inline bool apply(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ flags& state)
+ {
+ calculation_type const tx = get<0>(point);
+ calculation_type const ty = get<1>(point);
+ calculation_type const x0 = get<0>(seg1);
+ calculation_type const y0 = get<1>(seg1);
+ calculation_type const x1 = get<0>(seg2);
+ calculation_type const y1 = get<1>(seg2);
+
+ if (state.first)
+ {
+ state.first = false;
+ state.yflag0 = y0 >= ty;
+ }
+
+
+ bool yflag1 = y1 >= ty;
+ if (state.yflag0 != yflag1)
+ {
+ if ( ((y1-ty) * (x0-x1) >= (x1-tx) * (y0-y1)) == yflag1 )
+ {
+ state.inside_flag = ! state.inside_flag;
+ }
+ }
+ state.yflag0 = yflag1;
+ return true;
+ }
+
+ static inline int result(flags const& state)
+ {
+ return state.inside_flag ? 1 : -1;
+ }
+};
+
+
+
+}} // namespace strategy::within
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_POLY_CROSSINGS_MULTIPLY_HPP
diff --git a/boost/geometry/strategies/cartesian/point_in_poly_franklin.hpp b/boost/geometry/strategies/cartesian/point_in_poly_franklin.hpp
new file mode 100644
index 0000000000..a774d3c52d
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/point_in_poly_franklin.hpp
@@ -0,0 +1,118 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_POINT_IN_POLY_FRANKLIN_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_POLY_FRANKLIN_HPP
+
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace within
+{
+
+/*!
+\brief Within detection using cross counting
+\ingroup strategies
+\tparam Point \tparam_point
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\author adapted from Randolph Franklin algorithm
+\author Barend and Maarten, 1995
+\author Revised for templatized library, Barend Gehrels, 2007
+\return true if point is in ring, works for closed rings in both directions
+\note Does NOT work correctly for point ON border
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.within.within_3_with_strategy within (with strategy)]
+}
+ */
+
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void
+>
+class franklin
+{
+ typedef typename select_calculation_type
+ <
+ Point,
+ PointOfSegment,
+ CalculationType
+ >::type calculation_type;
+
+ /*! subclass to keep state */
+ class crossings
+ {
+ bool crosses;
+
+ public :
+
+ friend class franklin;
+ inline crossings()
+ : crosses(false)
+ {}
+ };
+
+public :
+
+ typedef Point point_type;
+ typedef PointOfSegment segment_point_type;
+ typedef crossings state_type;
+
+ static inline bool apply(Point const& point,
+ PointOfSegment const& seg1, PointOfSegment const& seg2,
+ crossings& state)
+ {
+ calculation_type const& px = get<0>(point);
+ calculation_type const& py = get<1>(point);
+ calculation_type const& x1 = get<0>(seg1);
+ calculation_type const& y1 = get<1>(seg1);
+ calculation_type const& x2 = get<0>(seg2);
+ calculation_type const& y2 = get<1>(seg2);
+
+ if (
+ ( (y2 <= py && py < y1) || (y1 <= py && py < y2) )
+ && (px < (x1 - x2) * (py - y2) / (y1 - y2) + x2)
+ )
+ {
+ state.crosses = ! state.crosses;
+ }
+ return true;
+ }
+
+ static inline int result(crossings const& state)
+ {
+ return state.crosses ? 1 : -1;
+ }
+};
+
+
+
+}} // namespace strategy::within
+
+
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_POINT_IN_POLY_FRANKLIN_HPP
diff --git a/boost/geometry/strategies/cartesian/side_by_triangle.hpp b/boost/geometry/strategies/cartesian/side_by_triangle.hpp
new file mode 100644
index 0000000000..967090c50a
--- /dev/null
+++ b/boost/geometry/strategies/cartesian/side_by_triangle.hpp
@@ -0,0 +1,121 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CARTESIAN_SIDE_BY_TRIANGLE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_SIDE_BY_TRIANGLE_HPP
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/strategies/side.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace side
+{
+
+/*!
+\brief Check at which side of a segment a point lies:
+ left of segment (> 0), right of segment (< 0), on segment (0)
+\ingroup strategies
+\tparam CalculationType \tparam_calculation
+ */
+template <typename CalculationType = void>
+class side_by_triangle
+{
+public :
+
+ // Template member function, because it is not always trivial
+ // or convenient to explicitly mention the typenames in the
+ // strategy-struct itself.
+
+ // Types can be all three different. Therefore it is
+ // not implemented (anymore) as "segment"
+
+ template <typename P1, typename P2, typename P>
+ static inline int apply(P1 const& p1, P2 const& p2, P const& p)
+ {
+ typedef typename boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+ typename select_most_precise
+ <
+ typename select_most_precise
+ <
+ typename coordinate_type<P1>::type,
+ typename coordinate_type<P2>::type
+ >::type,
+ typename coordinate_type<P>::type
+ >::type,
+ CalculationType
+ >::type coordinate_type;
+
+ coordinate_type const x = get<0>(p);
+ coordinate_type const y = get<1>(p);
+
+ coordinate_type const sx1 = get<0>(p1);
+ coordinate_type const sy1 = get<1>(p1);
+ coordinate_type const sx2 = get<0>(p2);
+ coordinate_type const sy2 = get<1>(p2);
+
+ // Promote float->double, small int->int
+ typedef typename select_most_precise
+ <
+ coordinate_type,
+ double
+ >::type promoted_type;
+
+ promoted_type const dx = sx2 - sx1;
+ promoted_type const dy = sy2 - sy1;
+ promoted_type const dpx = x - sx1;
+ promoted_type const dpy = y - sy1;
+
+ promoted_type const s
+ = geometry::detail::determinant<promoted_type>
+ (
+ dx, dy,
+ dpx, dpy
+ );
+
+ promoted_type const zero = promoted_type();
+ return math::equals(s, zero) ? 0
+ : s > zero ? 1
+ : -1;
+ }
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template <typename CalculationType>
+struct default_strategy<cartesian_tag, CalculationType>
+{
+ typedef side_by_triangle<CalculationType> type;
+};
+
+}
+#endif
+
+}} // namespace strategy::side
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_SIDE_BY_TRIANGLE_HPP
diff --git a/boost/geometry/strategies/centroid.hpp b/boost/geometry/strategies/centroid.hpp
new file mode 100644
index 0000000000..4963e6b40b
--- /dev/null
+++ b/boost/geometry/strategies/centroid.hpp
@@ -0,0 +1,72 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CENTROID_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CENTROID_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/strategies/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace centroid
+{
+
+struct not_applicable_strategy
+{
+};
+
+
+namespace services
+{
+
+/*!
+ \brief Traits class binding a centroid calculation strategy to a coordinate system
+ \ingroup centroid
+ \tparam CsTag tag of coordinate system, for specialization
+ \tparam GeometryTag tag of geometry, for specialization
+ \tparam Dimension dimension of geometry, for specialization
+ \tparam Point point-type
+ \tparam Geometry
+*/
+template
+<
+ typename CsTag,
+ typename GeometryTag,
+ std::size_t Dimension,
+ typename Point,
+ typename Geometry
+>
+struct default_strategy
+{
+ typedef not_applicable_strategy type;
+};
+
+
+} // namespace services
+
+
+}} // namespace strategy::centroid
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CENTROID_HPP
diff --git a/boost/geometry/strategies/compare.hpp b/boost/geometry/strategies/compare.hpp
new file mode 100644
index 0000000000..2958319229
--- /dev/null
+++ b/boost/geometry/strategies/compare.hpp
@@ -0,0 +1,172 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_COMPARE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_COMPARE_HPP
+
+#include <cstddef>
+#include <functional>
+
+#include <boost/mpl/if.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+
+#include <boost/geometry/strategies/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+ \brief Traits class binding a comparing strategy to a coordinate system
+ \ingroup util
+ \tparam Tag tag of coordinate system of point-type
+ \tparam Direction direction to compare on: 1 for less (-> ascending order)
+ and -1 for greater (-> descending order)
+ \tparam Point point-type
+ \tparam CoordinateSystem coordinate sytem of point
+ \tparam Dimension: the dimension to compare on
+*/
+template
+<
+ typename Tag,
+ int Direction,
+ typename Point,
+ typename CoordinateSystem,
+ std::size_t Dimension
+>
+struct strategy_compare
+{
+ typedef strategy::not_implemented type;
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+// For compare we add defaults specializations,
+// because they defaultly redirect to std::less / greater / equal_to
+template
+<
+ typename Tag,
+ typename Point,
+ typename CoordinateSystem,
+ std::size_t Dimension
+>
+struct strategy_compare<Tag, 1, Point, CoordinateSystem, Dimension>
+{
+ typedef std::less<typename coordinate_type<Point>::type> type;
+};
+
+
+template
+<
+ typename Tag,
+ typename Point,
+ typename CoordinateSystem,
+ std::size_t Dimension
+>
+struct strategy_compare<Tag, -1, Point, CoordinateSystem, Dimension>
+{
+ typedef std::greater<typename coordinate_type<Point>::type> type;
+};
+
+
+template
+<
+ typename Tag,
+ typename Point,
+ typename CoordinateSystem,
+ std::size_t Dimension
+>
+struct strategy_compare<Tag, 0, Point, CoordinateSystem, Dimension>
+{
+ typedef std::equal_to<typename coordinate_type<Point>::type> type;
+};
+
+
+#endif
+
+
+namespace strategy { namespace compare
+{
+
+
+/*!
+ \brief Default strategy, indicates the default strategy for comparisons
+ \details The default strategy for comparisons defer in most cases
+ to std::less (for ascending) and std::greater (for descending).
+ However, if a spherical coordinate system is used, and comparison
+ is done on longitude, it will take another strategy handling circular
+*/
+struct default_strategy {};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Type>
+struct is_default : boost::false_type
+{};
+
+
+template <>
+struct is_default<default_strategy> : boost::true_type
+{};
+
+
+/*!
+ \brief Meta-function to select strategy
+ \details If "default_strategy" is specified, it will take the
+ traits-registered class for the specified coordinate system.
+ If another strategy is explicitly specified, it takes that one.
+*/
+template
+<
+ typename Strategy,
+ int Direction,
+ typename Point,
+ std::size_t Dimension
+>
+struct select_strategy
+{
+ typedef typename
+ boost::mpl::if_
+ <
+ is_default<Strategy>,
+ typename strategy_compare
+ <
+ typename cs_tag<Point>::type,
+ Direction,
+ Point,
+ typename coordinate_system<Point>::type,
+ Dimension
+ >::type,
+ Strategy
+ >::type type;
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace strategy::compare
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_COMPARE_HPP
diff --git a/boost/geometry/strategies/concepts/area_concept.hpp b/boost/geometry/strategies/concepts/area_concept.hpp
new file mode 100644
index 0000000000..75821b52a1
--- /dev/null
+++ b/boost/geometry/strategies/concepts/area_concept.hpp
@@ -0,0 +1,75 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_AREA_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_AREA_CONCEPT_HPP
+
+
+#include <boost/concept_check.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for area
+ \ingroup area
+*/
+template <typename Strategy>
+class AreaStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ // 1) must define state_type,
+ typedef typename Strategy::state_type state_type;
+
+ // 2) must define return_type,
+ typedef typename Strategy::return_type return_type;
+
+ // 3) must define point_type, of polygon (segments)
+ typedef typename Strategy::segment_point_type spoint_type;
+
+ struct check_methods
+ {
+ static void apply()
+ {
+ Strategy const* str = 0;
+ state_type *st = 0;
+
+ // 4) must implement a method apply with the following signature
+ spoint_type const* sp = 0;
+ str->apply(*sp, *sp, *st);
+
+ // 5) must implement a static method result with the following signature
+ return_type r = str->result(*st);
+
+ boost::ignore_unused_variable_warning(r);
+ boost::ignore_unused_variable_warning(str);
+ }
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(AreaStrategy)
+ {
+ check_methods::apply();
+ }
+
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_AREA_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/centroid_concept.hpp b/boost/geometry/strategies/concepts/centroid_concept.hpp
new file mode 100644
index 0000000000..f493ef6810
--- /dev/null
+++ b/boost/geometry/strategies/concepts/centroid_concept.hpp
@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_CENTROID_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_CENTROID_CONCEPT_HPP
+
+
+
+#include <boost/concept_check.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for centroid
+ \ingroup centroid
+*/
+template <typename Strategy>
+class CentroidStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ // 1) must define state_type,
+ typedef typename Strategy::state_type state_type;
+
+ // 2) must define point_type,
+ typedef typename Strategy::point_type point_type;
+
+ // 3) must define point_type, of polygon (segments)
+ typedef typename Strategy::segment_point_type spoint_type;
+
+ struct check_methods
+ {
+ static void apply()
+ {
+ Strategy *str = 0;
+ state_type *st = 0;
+
+ // 4) must implement a static method apply,
+ // getting two segment-points
+ spoint_type const* sp = 0;
+ str->apply(*sp, *sp, *st);
+
+ // 5) must implement a static method result
+ // getting the centroid
+ point_type *c = 0;
+ bool r = str->result(*st, *c);
+
+ boost::ignore_unused_variable_warning(str);
+ boost::ignore_unused_variable_warning(r);
+ }
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(CentroidStrategy)
+ {
+ check_methods::apply();
+ }
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_CENTROID_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/convex_hull_concept.hpp b/boost/geometry/strategies/concepts/convex_hull_concept.hpp
new file mode 100644
index 0000000000..b31f0caa4e
--- /dev/null
+++ b/boost/geometry/strategies/concepts/convex_hull_concept.hpp
@@ -0,0 +1,75 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_CONVEX_HULL_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_CONVEX_HULL_CONCEPT_HPP
+
+
+#include <vector>
+
+#include <boost/concept_check.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for convex_hull
+ \ingroup convex_hull
+*/
+template <typename Strategy>
+class ConvexHullStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ // 1) must define state_type
+ typedef typename Strategy::state_type state_type;
+
+ // 2) must define point_type
+ typedef typename Strategy::point_type point_type;
+
+ // 3) must define geometry_type
+ typedef typename Strategy::geometry_type geometry_type;
+
+ struct check_methods
+ {
+ static void apply()
+ {
+ Strategy const* str;
+
+ state_type* st;
+ geometry_type* sp;
+ std::vector<point_type> *v;
+
+ // 4) must implement a method apply, iterating over a range
+ str->apply(*sp, *st);
+
+ // 5) must implement a method result, with an output iterator
+ str->result(*st, std::back_inserter(*v), true);
+ }
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(ConvexHullStrategy)
+ {
+ check_methods::apply();
+ }
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_CONVEX_HULL_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/distance_concept.hpp b/boost/geometry/strategies/concepts/distance_concept.hpp
new file mode 100644
index 0000000000..ba347d015a
--- /dev/null
+++ b/boost/geometry/strategies/concepts/distance_concept.hpp
@@ -0,0 +1,206 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_DISTANCE_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_DISTANCE_CONCEPT_HPP
+
+#include <vector>
+#include <iterator>
+
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/util/parameter_type_of.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for point-segment-distance
+ \ingroup distance
+*/
+template <typename Strategy>
+struct PointDistanceStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+private :
+
+ struct checker
+ {
+ template <typename ApplyMethod>
+ static void apply(ApplyMethod const&)
+ {
+ // 1: inspect and define both arguments of apply
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 0
+ >::type ptype1;
+
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 1
+ >::type ptype2;
+
+ // 2) check if apply-arguments fulfill point concept
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<ptype1>)
+ );
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<ptype2>)
+ );
+
+
+ // 3) must define meta-function return_type
+ typedef typename strategy::distance::services::return_type<Strategy>::type rtype;
+
+ // 4) must define meta-function "similar_type"
+ typedef typename strategy::distance::services::similar_type
+ <
+ Strategy, ptype2, ptype1
+ >::type stype;
+
+ // 5) must define meta-function "comparable_type"
+ typedef typename strategy::distance::services::comparable_type
+ <
+ Strategy
+ >::type ctype;
+
+ // 6) must define meta-function "tag"
+ typedef typename strategy::distance::services::tag
+ <
+ Strategy
+ >::type tag;
+
+ // 7) must implement apply with arguments
+ Strategy* str = 0;
+ ptype1 *p1 = 0;
+ ptype2 *p2 = 0;
+ rtype r = str->apply(*p1, *p2);
+
+ // 8) must define (meta)struct "get_similar" with apply
+ stype s = strategy::distance::services::get_similar
+ <
+ Strategy,
+ ptype2, ptype1
+ >::apply(*str);
+
+ // 9) must define (meta)struct "get_comparable" with apply
+ ctype c = strategy::distance::services::get_comparable
+ <
+ Strategy
+ >::apply(*str);
+
+ // 10) must define (meta)struct "result_from_distance" with apply
+ r = strategy::distance::services::result_from_distance
+ <
+ Strategy
+ >::apply(*str, 1.0);
+
+ boost::ignore_unused_variable_warning(str);
+ boost::ignore_unused_variable_warning(s);
+ boost::ignore_unused_variable_warning(c);
+ boost::ignore_unused_variable_warning(r);
+ }
+ };
+
+
+
+public :
+ BOOST_CONCEPT_USAGE(PointDistanceStrategy)
+ {
+ checker::apply(&Strategy::apply);
+ }
+#endif
+};
+
+
+/*!
+ \brief Checks strategy for point-segment-distance
+ \ingroup strategy_concepts
+*/
+template <typename Strategy>
+struct PointSegmentDistanceStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+private :
+
+ struct checker
+ {
+ template <typename ApplyMethod>
+ static void apply(ApplyMethod const&)
+ {
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 0
+ >::type ptype;
+
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 1
+ >::type sptype;
+
+ // 2) check if apply-arguments fulfill point concept
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<ptype>)
+ );
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<sptype>)
+ );
+
+
+ // 3) must define meta-function return_type
+ typedef typename strategy::distance::services::return_type<Strategy>::type rtype;
+
+ // 4) must define underlying point-distance-strategy
+ typedef typename strategy::distance::services::strategy_point_point<Strategy>::type stype;
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::PointDistanceStrategy<stype>)
+ );
+
+
+ Strategy *str = 0;
+ ptype *p = 0;
+ sptype *sp1 = 0;
+ sptype *sp2 = 0;
+
+ rtype r = str->apply(*p, *sp1, *sp2);
+
+ boost::ignore_unused_variable_warning(str);
+ boost::ignore_unused_variable_warning(r);
+ }
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(PointSegmentDistanceStrategy)
+ {
+ checker::apply(&Strategy::apply);
+ }
+#endif
+};
+
+
+}}} // namespace boost::geometry::concept
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_DISTANCE_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/segment_intersect_concept.hpp b/boost/geometry/strategies/concepts/segment_intersect_concept.hpp
new file mode 100644
index 0000000000..43bcccf374
--- /dev/null
+++ b/boost/geometry/strategies/concepts/segment_intersect_concept.hpp
@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_SEGMENT_INTERSECT_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_SEGMENT_INTERSECT_CONCEPT_HPP
+
+
+//NOT FINISHED!
+
+#include <boost/concept_check.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for segment intersection
+ \ingroup segment_intersection
+*/
+template <typename Strategy>
+class SegmentIntersectStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ // 1) must define return_type
+ typedef typename Strategy::return_type return_type;
+
+ // 2) must define point_type (of segment points)
+ //typedef typename Strategy::point_type point_type;
+
+ // 3) must define segment_type 1 and 2 (of segment points)
+ typedef typename Strategy::segment_type1 segment_type1;
+ typedef typename Strategy::segment_type2 segment_type2;
+
+
+ struct check_methods
+ {
+ static void apply()
+ {
+ Strategy const* str;
+
+ return_type* rt;
+ //point_type const* p;
+ segment_type1 const* s1;
+ segment_type2 const* s2;
+
+ // 4) must implement a method apply
+ // having two segments
+ *rt = str->apply(*s1, *s2);
+
+ }
+ };
+
+
+public :
+ BOOST_CONCEPT_USAGE(SegmentIntersectStrategy)
+ {
+ check_methods::apply();
+ }
+#endif
+};
+
+
+
+}}} // namespace boost::geometry::concept
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_SEGMENT_INTERSECT_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/simplify_concept.hpp b/boost/geometry/strategies/concepts/simplify_concept.hpp
new file mode 100644
index 0000000000..92e5156b5a
--- /dev/null
+++ b/boost/geometry/strategies/concepts/simplify_concept.hpp
@@ -0,0 +1,109 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_SIMPLIFY_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_SIMPLIFY_CONCEPT_HPP
+
+#include <vector>
+#include <iterator>
+
+#include <boost/concept_check.hpp>
+
+#include <boost/geometry/strategies/concepts/distance_concept.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+ \brief Checks strategy for simplify
+ \ingroup simplify
+*/
+template <typename Strategy>
+struct SimplifyStrategy
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+private :
+
+ // 1) must define distance_strategy_type,
+ // defining point-segment distance strategy (to be checked)
+ typedef typename Strategy::distance_strategy_type ds_type;
+
+
+ struct checker
+ {
+ template <typename ApplyMethod>
+ static void apply(ApplyMethod const&)
+ {
+ namespace ft = boost::function_types;
+ typedef typename ft::parameter_types
+ <
+ ApplyMethod
+ >::type parameter_types;
+
+ typedef typename boost::mpl::if_
+ <
+ ft::is_member_function_pointer<ApplyMethod>,
+ boost::mpl::int_<1>,
+ boost::mpl::int_<0>
+ >::type base_index;
+
+ // 1: inspect and define both arguments of apply
+ typedef typename boost::remove_const
+ <
+ typename boost::remove_reference
+ <
+ typename boost::mpl::at
+ <
+ parameter_types,
+ base_index
+ >::type
+ >::type
+ >::type point_type;
+
+
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::PointSegmentDistanceStrategy<ds_type>)
+ );
+
+ Strategy *str = 0;
+ std::vector<point_type> const* v1 = 0;
+ std::vector<point_type> * v2 = 0;
+
+ // 2) must implement method apply with arguments
+ // - Range
+ // - OutputIterator
+ // - floating point value
+ str->apply(*v1, std::back_inserter(*v2), 1.0);
+
+ boost::ignore_unused_variable_warning(str);
+ }
+ };
+
+public :
+ BOOST_CONCEPT_USAGE(SimplifyStrategy)
+ {
+ checker::apply(&ds_type::apply);
+
+ }
+#endif
+};
+
+
+
+}}} // namespace boost::geometry::concept
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_SIMPLIFY_CONCEPT_HPP
diff --git a/boost/geometry/strategies/concepts/within_concept.hpp b/boost/geometry/strategies/concepts/within_concept.hpp
new file mode 100644
index 0000000000..a9684b98e1
--- /dev/null
+++ b/boost/geometry/strategies/concepts/within_concept.hpp
@@ -0,0 +1,291 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONCEPTS_WITHIN_CONCEPT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONCEPTS_WITHIN_CONCEPT_HPP
+
+
+
+#include <boost/concept_check.hpp>
+#include <boost/function_types/result_type.hpp>
+
+#include <boost/geometry/util/parameter_type_of.hpp>
+
+
+namespace boost { namespace geometry { namespace concept
+{
+
+
+/*!
+\brief Checks strategy for within (point-in-polygon)
+\ingroup within
+*/
+template <typename Strategy>
+class WithinStrategyPolygonal
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ // 1) must define state_type
+ typedef typename Strategy::state_type state_type;
+
+ struct checker
+ {
+ template <typename ApplyMethod, typename ResultMethod>
+ static void apply(ApplyMethod const&, ResultMethod const& )
+ {
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 0
+ >::type point_type;
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 1
+ >::type segment_point_type;
+
+ // CHECK: apply-arguments should both fulfill point concept
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<point_type>)
+ );
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<segment_point_type>)
+ );
+
+ // CHECK: return types (result: int, apply: bool)
+ BOOST_MPL_ASSERT_MSG
+ (
+ (boost::is_same
+ <
+ bool, typename boost::function_types::result_type<ApplyMethod>::type
+ >::type::value),
+ WRONG_RETURN_TYPE_OF_APPLY
+ , (bool)
+ );
+ BOOST_MPL_ASSERT_MSG
+ (
+ (boost::is_same
+ <
+ int, typename boost::function_types::result_type<ResultMethod>::type
+ >::type::value),
+ WRONG_RETURN_TYPE_OF_RESULT
+ , (int)
+ );
+
+
+ // CHECK: calling method apply and result
+ Strategy const* str = 0;
+ state_type* st = 0;
+ point_type const* p = 0;
+ segment_point_type const* sp = 0;
+
+ bool b = str->apply(*p, *sp, *sp, *st);
+ int r = str->result(*st);
+
+ boost::ignore_unused_variable_warning(r);
+ boost::ignore_unused_variable_warning(b);
+ boost::ignore_unused_variable_warning(str);
+ }
+ };
+
+
+public :
+ BOOST_CONCEPT_USAGE(WithinStrategyPolygonal)
+ {
+ checker::apply(&Strategy::apply, &Strategy::result);
+ }
+#endif
+};
+
+template <typename Strategy>
+class WithinStrategyPointBox
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ struct checker
+ {
+ template <typename ApplyMethod>
+ static void apply(ApplyMethod const&)
+ {
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 0
+ >::type point_type;
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 1
+ >::type box_type;
+
+ // CHECK: apply-arguments should fulfill point/box concept
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstPoint<point_type>)
+ );
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstBox<box_type>)
+ );
+
+ // CHECK: return types (apply: bool)
+ BOOST_MPL_ASSERT_MSG
+ (
+ (boost::is_same
+ <
+ bool,
+ typename boost::function_types::result_type<ApplyMethod>::type
+ >::type::value),
+ WRONG_RETURN_TYPE
+ , (bool)
+ );
+
+
+ // CHECK: calling method apply
+ Strategy const* str = 0;
+ point_type const* p = 0;
+ box_type const* bx = 0;
+
+ bool b = str->apply(*p, *bx);
+
+ boost::ignore_unused_variable_warning(b);
+ boost::ignore_unused_variable_warning(str);
+ }
+ };
+
+
+public :
+ BOOST_CONCEPT_USAGE(WithinStrategyPointBox)
+ {
+ checker::apply(&Strategy::apply);
+ }
+#endif
+};
+
+template <typename Strategy>
+class WithinStrategyBoxBox
+{
+#ifndef DOXYGEN_NO_CONCEPT_MEMBERS
+
+ struct checker
+ {
+ template <typename ApplyMethod>
+ static void apply(ApplyMethod const&)
+ {
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 0
+ >::type box_type1;
+ typedef typename parameter_type_of
+ <
+ ApplyMethod, 1
+ >::type box_type2;
+
+ // CHECK: apply-arguments should both fulfill box concept
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstBox<box_type1>)
+ );
+
+ BOOST_CONCEPT_ASSERT
+ (
+ (concept::ConstBox<box_type2>)
+ );
+
+ // CHECK: return types (apply: bool)
+ BOOST_MPL_ASSERT_MSG
+ (
+ (boost::is_same
+ <
+ bool,
+ typename boost::function_types::result_type<ApplyMethod>::type
+ >::type::value),
+ WRONG_RETURN_TYPE
+ , (bool)
+ );
+
+
+ // CHECK: calling method apply
+ Strategy const* str = 0;
+ box_type1 const* b1 = 0;
+ box_type2 const* b2 = 0;
+
+ bool b = str->apply(*b1, *b2);
+
+ boost::ignore_unused_variable_warning(b);
+ boost::ignore_unused_variable_warning(str);
+ }
+ };
+
+
+public :
+ BOOST_CONCEPT_USAGE(WithinStrategyBoxBox)
+ {
+ checker::apply(&Strategy::apply);
+ }
+#endif
+};
+
+// So now: boost::geometry::concept::within
+namespace within
+{
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+template <typename FirstTag, typename SecondTag, typename CastedTag, typename Strategy>
+struct check_within
+{};
+
+
+template <typename AnyTag, typename Strategy>
+struct check_within<point_tag, AnyTag, areal_tag, Strategy>
+{
+ BOOST_CONCEPT_ASSERT( (WithinStrategyPolygonal<Strategy>) );
+};
+
+
+template <typename Strategy>
+struct check_within<point_tag, box_tag, areal_tag, Strategy>
+{
+ BOOST_CONCEPT_ASSERT( (WithinStrategyPointBox<Strategy>) );
+};
+
+template <typename Strategy>
+struct check_within<box_tag, box_tag, areal_tag, Strategy>
+{
+ BOOST_CONCEPT_ASSERT( (WithinStrategyBoxBox<Strategy>) );
+};
+
+
+} // namespace dispatch
+#endif
+
+
+/*!
+\brief Checks, in compile-time, the concept of any within-strategy
+\ingroup concepts
+*/
+template <typename FirstTag, typename SecondTag, typename CastedTag, typename Strategy>
+inline void check()
+{
+ dispatch::check_within<FirstTag, SecondTag, CastedTag, Strategy> c;
+ boost::ignore_unused_variable_warning(c);
+}
+
+
+}}}} // namespace boost::geometry::concept::within
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONCEPTS_WITHIN_CONCEPT_HPP
diff --git a/boost/geometry/strategies/convex_hull.hpp b/boost/geometry/strategies/convex_hull.hpp
new file mode 100644
index 0000000000..f4edc5ba3f
--- /dev/null
+++ b/boost/geometry/strategies/convex_hull.hpp
@@ -0,0 +1,47 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_CONVEX_HULL_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CONVEX_HULL_HPP
+
+#include <boost/geometry/strategies/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+
+
+/*!
+ \brief Traits class binding a convex hull calculation strategy to a coordinate system
+ \ingroup convex_hull
+ \tparam Tag tag of coordinate system
+ \tparam Geometry the geometry type (hull operates internally per hull over geometry)
+ \tparam Point point-type of output points
+*/
+template
+<
+ typename Geometry1,
+ typename Point,
+ typename CsTag = typename cs_tag<Point>::type
+>
+struct strategy_convex_hull
+{
+ typedef strategy::not_implemented type;
+};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CONVEX_HULL_HPP
diff --git a/boost/geometry/strategies/covered_by.hpp b/boost/geometry/strategies/covered_by.hpp
new file mode 100644
index 0000000000..a878b26c86
--- /dev/null
+++ b/boost/geometry/strategies/covered_by.hpp
@@ -0,0 +1,72 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_COVERED_BY_HPP
+#define BOOST_GEOMETRY_STRATEGIES_COVERED_BY_HPP
+
+#include <boost/mpl/assert.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace covered_by
+{
+
+
+namespace services
+{
+
+/*!
+\brief Traits class binding a covered_by determination strategy to a coordinate system
+\ingroup covered_by
+\tparam TagContained tag (possibly casted) of point-type
+\tparam TagContained tag (possibly casted) of (possibly) containing type
+\tparam CsTagContained tag of coordinate system of point-type
+\tparam CsTagContaining tag of coordinate system of (possibly) containing type
+\tparam Geometry geometry-type of input (often point, or box)
+\tparam GeometryContaining geometry-type of input (possibly) containing type
+*/
+template
+<
+ typename TagContained,
+ typename TagContaining,
+ typename CastedTagContained,
+ typename CastedTagContaining,
+ typename CsTagContained,
+ typename CsTagContaining,
+ typename GeometryContained,
+ typename GeometryContaining
+>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_TYPES
+ , (types<GeometryContained, GeometryContaining>)
+ );
+};
+
+
+} // namespace services
+
+
+}} // namespace strategy::covered_by
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_COVERED_BY_HPP
+
diff --git a/boost/geometry/strategies/default_area_result.hpp b/boost/geometry/strategies/default_area_result.hpp
new file mode 100644
index 0000000000..8adfa5d6ea
--- /dev/null
+++ b/boost/geometry/strategies/default_area_result.hpp
@@ -0,0 +1,51 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_DEFAULT_AREA_RESULT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_DEFAULT_AREA_RESULT_HPP
+
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/strategies/area.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Meta-function defining return type of area function, using the default strategy
+\ingroup area
+\note The strategy defines the return-type (so this situation is different
+ from length, where distance is sqr/sqrt, but length always squared)
+ */
+
+template <typename Geometry>
+struct default_area_result
+{
+ 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;
+
+ typedef typename strategy_type::return_type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_DEFAULT_AREA_RESULT_HPP
diff --git a/boost/geometry/strategies/default_distance_result.hpp b/boost/geometry/strategies/default_distance_result.hpp
new file mode 100644
index 0000000000..ea5f3ff764
--- /dev/null
+++ b/boost/geometry/strategies/default_distance_result.hpp
@@ -0,0 +1,50 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_DEFAULT_DISTANCE_RESULT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_DEFAULT_DISTANCE_RESULT_HPP
+
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/strategies/distance.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Meta-function defining return type of distance function
+\ingroup distance
+\note The strategy defines the return-type (so this situation is different
+ from length, where distance is sqr/sqrt, but length always squared)
+ */
+template <typename Geometry1, typename Geometry2 = Geometry1>
+struct default_distance_result
+{
+ typedef typename strategy::distance::services::return_type
+ <
+ typename strategy::distance::services::default_strategy
+ <
+ point_tag,
+ typename point_type<Geometry1>::type,
+ typename point_type<Geometry2>::type
+ >::type
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_DEFAULT_DISTANCE_RESULT_HPP
diff --git a/boost/geometry/strategies/default_length_result.hpp b/boost/geometry/strategies/default_length_result.hpp
new file mode 100644
index 0000000000..706941b9e4
--- /dev/null
+++ b/boost/geometry/strategies/default_length_result.hpp
@@ -0,0 +1,46 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_DEFAULT_LENGTH_RESULT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_DEFAULT_LENGTH_RESULT_HPP
+
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+ \brief Meta-function defining return type of length function
+ \ingroup length
+ \note Length of a line of integer coordinates can be double.
+ So we take at least a double. If Big Number types are used,
+ we take that type.
+
+ */
+template <typename Geometry>
+struct default_length_result
+{
+ typedef typename select_most_precise
+ <
+ typename coordinate_type<Geometry>::type,
+ long double
+ >::type type;
+};
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_DEFAULT_LENGTH_RESULT_HPP
diff --git a/boost/geometry/strategies/distance.hpp b/boost/geometry/strategies/distance.hpp
new file mode 100644
index 0000000000..ef9a7ee10d
--- /dev/null
+++ b/boost/geometry/strategies/distance.hpp
@@ -0,0 +1,135 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_DISTANCE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_DISTANCE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/strategies/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace distance { namespace services
+{
+
+
+template <typename Strategy> struct tag {};
+template <typename Strategy> struct return_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_STRATEGY, (types<Strategy>)
+ );
+};
+
+
+/*!
+ \brief Metafunction delivering a similar strategy with other input point types
+*/
+template
+<
+ typename Strategy,
+ typename Point1,
+ typename Point2
+>
+struct similar_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_STRATEGY
+ , (types<Strategy, Point1, Point2>)
+ );
+};
+
+template
+<
+ typename Strategy,
+ typename Point1,
+ typename Point2
+>
+struct get_similar
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_STRATEGY
+ , (types<Strategy, Point1, Point2>)
+ );
+};
+
+template <typename Strategy> struct comparable_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_STRATEGY, (types<Strategy>)
+ );
+};
+
+template <typename Strategy> struct get_comparable
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_STRATEGY, (types<Strategy>)
+ );
+};
+
+template <typename Strategy> struct result_from_distance {};
+
+
+// For point-segment only:
+template <typename Strategy> struct strategy_point_point {};
+
+
+// Default strategy
+
+
+/*!
+ \brief Traits class binding a default strategy for distance
+ to one (or possibly two) coordinate system(s)
+ \ingroup distance
+ \tparam GeometryTag tag (point/segment) for which this strategy is the default
+ \tparam Point1 first point-type
+ \tparam Point2 second point-type
+ \tparam CsTag1 tag of coordinate system of first point type
+ \tparam CsTag2 tag of coordinate system of second point type
+*/
+template
+<
+ typename GeometryTag,
+ typename Point1,
+ typename Point2 = Point1,
+ typename CsTag1 = typename cs_tag<Point1>::type,
+ typename CsTag2 = typename cs_tag<Point2>::type,
+ typename UnderlyingStrategy = void
+>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPE_COMBINATION
+ , (types<Point1, Point2, CsTag1, CsTag2>)
+ );
+};
+
+
+}}} // namespace strategy::distance::services
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_DISTANCE_HPP
diff --git a/boost/geometry/strategies/intersection.hpp b/boost/geometry/strategies/intersection.hpp
new file mode 100644
index 0000000000..fc628c0635
--- /dev/null
+++ b/boost/geometry/strategies/intersection.hpp
@@ -0,0 +1,93 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_INTERSECTION_HPP
+#define BOOST_GEOMETRY_STRATEGIES_INTERSECTION_HPP
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/geometries/segment.hpp>
+
+#include <boost/geometry/policies/relate/intersection_points.hpp>
+#include <boost/geometry/policies/relate/direction.hpp>
+#include <boost/geometry/policies/relate/tupled.hpp>
+
+#include <boost/geometry/strategies/side.hpp>
+#include <boost/geometry/strategies/intersection.hpp>
+#include <boost/geometry/strategies/intersection_result.hpp>
+
+#include <boost/geometry/strategies/cartesian/cart_intersect.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+// The intersection strategy is a "compound strategy",
+// it contains a segment-intersection-strategy
+// and a side-strategy
+/*!
+\tparam CalculationType \tparam_calculation
+*/
+template
+<
+ typename Tag,
+ typename Geometry1,
+ typename Geometry2,
+ typename IntersectionPoint,
+ typename CalculationType = void
+>
+struct strategy_intersection
+{
+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;
+
+ typedef segment_intersection_points
+ <
+ IntersectionPoint
+ > ip_type;
+
+public:
+ typedef strategy::intersection::relate_cartesian_segments
+ <
+ policies::relate::segments_tupled
+ <
+ policies::relate::segments_intersection_points
+ <
+ segment1_type,
+ segment2_type,
+ ip_type,
+ CalculationType
+ > ,
+ policies::relate::segments_direction
+ <
+ segment1_type,
+ segment2_type,
+ CalculationType
+ >,
+ CalculationType
+ >,
+ CalculationType
+ > segment_intersection_strategy_type;
+
+ typedef typename strategy::side::services::default_strategy
+ <
+ Tag,
+ CalculationType
+ >::type side_strategy_type;
+};
+
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_INTERSECTION_HPP
diff --git a/boost/geometry/strategies/intersection_result.hpp b/boost/geometry/strategies/intersection_result.hpp
new file mode 100644
index 0000000000..15917a9eb5
--- /dev/null
+++ b/boost/geometry/strategies/intersection_result.hpp
@@ -0,0 +1,174 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_INTERSECTION_RESULT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_INTERSECTION_RESULT_HPP
+
+#if defined(HAVE_MATRIX_AS_STRING)
+#include <string>
+#endif
+
+#include <cstddef>
+
+
+namespace boost { namespace geometry
+{
+
+/*!
+ \brief Dimensionally Extended 9 Intersection Matrix
+ \details
+ \ingroup overlay
+ \see http://gis.hsr.ch/wiki/images/3/3d/9dem_springer.pdf
+*/
+struct de9im
+{
+ int ii, ib, ie,
+ bi, bb, be,
+ ei, eb, ee;
+
+ inline de9im()
+ : ii(-1), ib(-1), ie(-1)
+ , bi(-1), bb(-1), be(-1)
+ , ei(-1), eb(-1), ee(-1)
+ {
+ }
+
+ inline de9im(int ii0, int ib0, int ie0,
+ int bi0, int bb0, int be0,
+ int ei0, int eb0, int ee0)
+ : ii(ii0), ib(ib0), ie(ie0)
+ , bi(bi0), bb(bb0), be(be0)
+ , ei(ei0), eb(eb0), ee(ee0)
+ {}
+
+ inline bool equals() const
+ {
+ return ii >= 0 && ie < 0 && be < 0 && ei < 0 && eb < 0;
+ }
+
+ inline bool disjoint() const
+ {
+ return ii < 0 && ib < 0 && bi < 0 && bb < 0;
+ }
+
+ inline bool intersects() const
+ {
+ return ii >= 0 || bb >= 0 || bi >= 0 || ib >= 0;
+ }
+
+ inline bool touches() const
+ {
+ return ii < 0 && (bb >= 0 || bi >= 0 || ib >= 0);
+ }
+
+ inline bool crosses() const
+ {
+ return (ii >= 0 && ie >= 0) || (ii == 0);
+ }
+
+ inline bool overlaps() const
+ {
+ return ii >= 0 && ie >= 0 && ei >= 0;
+ }
+
+ inline bool within() const
+ {
+ return ii >= 0 && ie < 0 && be < 0;
+ }
+
+ inline bool contains() const
+ {
+ return ii >= 0 && ei < 0 && eb < 0;
+ }
+
+
+ static inline char as_char(int v)
+ {
+ return v >= 0 && v < 10 ? ('0' + char(v)) : '-';
+ }
+
+#if defined(HAVE_MATRIX_AS_STRING)
+ inline std::string matrix_as_string(std::string const& tab, std::string const& nl) const
+ {
+ std::string ret;
+ ret.reserve(9 + tab.length() * 3 + nl.length() * 3);
+ ret += tab; ret += as_char(ii); ret += as_char(ib); ret += as_char(ie); ret += nl;
+ ret += tab; ret += as_char(bi); ret += as_char(bb); ret += as_char(be); ret += nl;
+ ret += tab; ret += as_char(ei); ret += as_char(eb); ret += as_char(ee);
+ return ret;
+ }
+
+ inline std::string matrix_as_string() const
+ {
+ return matrix_as_string("", "");
+ }
+#endif
+
+};
+
+struct de9im_segment : public de9im
+{
+ bool collinear; // true if segments are aligned (for equal,overlap,touch)
+ bool opposite; // true if direction is reversed (for equal,overlap,touch)
+ bool parallel; // true if disjoint but parallel
+ bool degenerate; // true for segment(s) of zero length
+
+ double ra, rb; // temp
+
+ inline de9im_segment()
+ : de9im()
+ , collinear(false)
+ , opposite(false)
+ , parallel(false)
+ , degenerate(false)
+ {}
+
+ inline de9im_segment(double a, double b,
+ int ii0, int ib0, int ie0,
+ int bi0, int bb0, int be0,
+ int ei0, int eb0, int ee0,
+ bool c = false, bool o = false, bool p = false, bool d = false)
+ : de9im(ii0, ib0, ie0, bi0, bb0, be0, ei0, eb0, ee0)
+ , collinear(c)
+ , opposite(o)
+ , parallel(p)
+ , degenerate(d)
+ , ra(a), rb(b)
+ {}
+
+
+#if defined(HAVE_MATRIX_AS_STRING)
+ inline std::string as_string() const
+ {
+ std::string ret = matrix_as_string();
+ ret += collinear ? "c" : "-";
+ ret += opposite ? "o" : "-";
+ return ret;
+ }
+#endif
+};
+
+
+
+template <typename Point>
+struct segment_intersection_points
+{
+ std::size_t count;
+ Point intersections[2];
+ typedef Point point_type;
+
+ segment_intersection_points()
+ : count(0)
+ {}
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_INTERSECTION_RESULT_HPP
diff --git a/boost/geometry/strategies/side.hpp b/boost/geometry/strategies/side.hpp
new file mode 100644
index 0000000000..376f2fdf1b
--- /dev/null
+++ b/boost/geometry/strategies/side.hpp
@@ -0,0 +1,55 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_SIDE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SIDE_HPP
+
+
+#include <boost/geometry/strategies/tags.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace side
+{
+
+namespace services
+{
+
+/*!
+\brief Traits class binding a side determination strategy to a coordinate system
+\ingroup util
+\tparam Tag tag of coordinate system of point-type
+\tparam CalculationType \tparam_calculation
+*/
+template <typename Tag, typename CalculationType = void>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_TYPE
+ , (types<Tag>)
+ );
+};
+
+
+} // namespace services
+
+
+}} // namespace strategy::side
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SIDE_HPP
diff --git a/boost/geometry/strategies/side_info.hpp b/boost/geometry/strategies/side_info.hpp
new file mode 100644
index 0000000000..3fc43b8d99
--- /dev/null
+++ b/boost/geometry/strategies/side_info.hpp
@@ -0,0 +1,93 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_SIDE_INFO_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SIDE_INFO_HPP
+
+
+#include <utility>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief Class side_info: small class wrapping for sides (-1,0,1)
+*/
+class side_info
+{
+public :
+ inline side_info(int side_a1 = 0, int side_a2 = 0,
+ int side_b1 = 0, int side_b2 = 0)
+ {
+ sides[0].first = side_a1;
+ sides[0].second = side_a2;
+ sides[1].first = side_b1;
+ sides[1].second = side_b2;
+ }
+
+ template <int Which>
+ inline void set(int first, int second)
+ {
+ sides[Which].first = first;
+ sides[Which].second = second;
+ }
+
+ template <int Which, int Index>
+ inline int get() const
+ {
+ return Index == 0 ? sides[Which].first : sides[Which].second;
+ }
+
+
+ // Returns true if both lying on the same side WRT the other
+ // (so either 1,1 or -1-1)
+ template <int Which>
+ inline bool same() const
+ {
+ return sides[Which].first * sides[Which].second == 1;
+ }
+
+ inline bool collinear() const
+ {
+ return sides[0].first == 0
+ && sides[0].second == 0
+ && sides[1].first == 0
+ && sides[1].second == 0;
+ }
+
+ // If one of the segments is collinear, the other must be as well.
+ // So handle it as collinear.
+ // (In floating point margins it can occur that one of them is 1!)
+ inline bool as_collinear() const
+ {
+ return sides[0].first * sides[0].second == 0
+ || sides[1].first * sides[1].second == 0;
+ }
+
+ inline void reverse()
+ {
+ std::swap(sides[0], sides[1]);
+ }
+
+private :
+ std::pair<int, int> sides[2];
+
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SIDE_INFO_HPP
diff --git a/boost/geometry/strategies/spherical/area_huiller.hpp b/boost/geometry/strategies/spherical/area_huiller.hpp
new file mode 100644
index 0000000000..1bef9b5f2f
--- /dev/null
+++ b/boost/geometry/strategies/spherical/area_huiller.hpp
@@ -0,0 +1,202 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_SPHERICAL_AREA_HUILLER_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_AREA_HUILLER_HPP
+
+
+
+#include <boost/geometry/strategies/spherical/distance_haversine.hpp>
+
+#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace area
+{
+
+
+
+/*!
+\brief Area calculation by spherical excess / Huiller's formula
+\ingroup strategies
+\tparam PointOfSegment point type of segments of rings/polygons
+\tparam CalculationType \tparam_calculation
+\author Barend Gehrels. Adapted from:
+- http://www.soe.ucsc.edu/~pang/160/f98/Gems/GemsIV/sph_poly.c
+- http://williams.best.vwh.net/avform.htm
+\note The version in Gems didn't account for polygons crossing the 180 meridian.
+\note This version works for convex and non-convex polygons, for 180 meridian
+crossing polygons and for polygons with holes. However, some cases (especially
+180 meridian cases) must still be checked.
+\note The version which sums angles, which is often seen, doesn't handle non-convex
+polygons correctly.
+\note The version which sums longitudes, see
+http://trs-new.jpl.nasa.gov/dspace/bitstream/2014/40409/1/07-03.pdf, is simple
+and works well in most cases but not in 180 meridian crossing cases. This probably
+could be solved.
+
+\note This version is made for spherical equatorial coordinate systems
+
+\qbk{
+
+[heading Example]
+[area_with_strategy]
+[area_with_strategy_output]
+
+
+[heading See also]
+[link geometry.reference.algorithms.area.area_2_with_strategy area (with strategy)]
+}
+
+*/
+template
+<
+ typename PointOfSegment,
+ typename CalculationType = void
+>
+class huiller
+{
+typedef typename boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+ typename select_most_precise
+ <
+ typename coordinate_type<PointOfSegment>::type,
+ double
+ >::type,
+ CalculationType
+ >::type calculation_type;
+
+protected :
+ struct excess_sum
+ {
+ calculation_type sum;
+
+ // Distances are calculated on unit sphere here
+ strategy::distance::haversine<PointOfSegment, PointOfSegment>
+ distance_over_unit_sphere;
+
+
+ inline excess_sum()
+ : sum(0)
+ , distance_over_unit_sphere(1)
+ {}
+ inline calculation_type area(calculation_type radius) const
+ {
+ return - sum * radius * radius;
+ }
+ };
+
+public :
+ typedef calculation_type return_type;
+ typedef PointOfSegment segment_point_type;
+ typedef excess_sum state_type;
+
+ inline huiller(calculation_type radius = 1.0)
+ : m_radius(radius)
+ {}
+
+ inline void apply(PointOfSegment const& p1,
+ PointOfSegment const& p2,
+ excess_sum& state) const
+ {
+ if (! geometry::math::equals(get<0>(p1), get<0>(p2)))
+ {
+ calculation_type const half = 0.5;
+ calculation_type const two = 2.0;
+ calculation_type const four = 4.0;
+ calculation_type const two_pi = two * geometry::math::pi<calculation_type>();
+ calculation_type const half_pi = half * geometry::math::pi<calculation_type>();
+
+ // Distance p1 p2
+ calculation_type a = state.distance_over_unit_sphere.apply(p1, p2);
+
+ // Sides on unit sphere to south pole
+ calculation_type b = half_pi - geometry::get_as_radian<1>(p2);
+ calculation_type c = half_pi - geometry::get_as_radian<1>(p1);
+
+ // Semi parameter
+ calculation_type s = half * (a + b + c);
+
+ // E: spherical excess, using l'Huiller's formula
+ // [tg(e / 4)]2 = tg[s / 2] tg[(s-a) / 2] tg[(s-b) / 2] tg[(s-c) / 2]
+ calculation_type E = four * atan(sqrt(geometry::math::abs(tan(s / two)
+ * tan((s - a) / two)
+ * tan((s - b) / two)
+ * tan((s - c) / two))));
+
+ E = geometry::math::abs(E);
+
+ // In right direction: positive, add area. In left direction: negative, subtract area.
+ // Longitude comparisons are not so obvious. If one is negative, other is positive,
+ // we have to take the dateline into account.
+ // TODO: check this / enhance this, should be more robust. See also the "grow" for ll
+ // TODO: use minmax or "smaller"/"compare" strategy for this
+ calculation_type lon1 = geometry::get_as_radian<0>(p1) < 0
+ ? geometry::get_as_radian<0>(p1) + two_pi
+ : geometry::get_as_radian<0>(p1);
+
+ calculation_type lon2 = geometry::get_as_radian<0>(p2) < 0
+ ? geometry::get_as_radian<0>(p2) + two_pi
+ : geometry::get_as_radian<0>(p2);
+
+ if (lon2 < lon1)
+ {
+ E = -E;
+ }
+
+ state.sum += E;
+ }
+ }
+
+ inline return_type result(excess_sum const& state) const
+ {
+ return state.area(m_radius);
+ }
+
+private :
+ /// Radius of the sphere
+ calculation_type m_radius;
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+
+template <typename Point>
+struct default_strategy<spherical_equatorial_tag, Point>
+{
+ typedef strategy::area::huiller<Point> type;
+};
+
+// Note: spherical polar coordinate system requires "get_as_radian_equatorial"
+/***template <typename Point>
+struct default_strategy<spherical_polar_tag, Point>
+{
+ typedef strategy::area::huiller<Point> type;
+};***/
+
+} // namespace services
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::area
+
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_AREA_HUILLER_HPP
diff --git a/boost/geometry/strategies/spherical/compare_circular.hpp b/boost/geometry/strategies/spherical/compare_circular.hpp
new file mode 100644
index 0000000000..2f890dfd87
--- /dev/null
+++ b/boost/geometry/strategies/spherical/compare_circular.hpp
@@ -0,0 +1,152 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_SPHERICAL_COMPARE_SPHERICAL_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_COMPARE_SPHERICAL_HPP
+
+#include <boost/math/constants/constants.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/strategies/compare.hpp>
+#include <boost/geometry/util/math.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace compare
+{
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Units>
+struct shift
+{
+};
+
+template <>
+struct shift<degree>
+{
+ static inline double full() { return 360.0; }
+ static inline double half() { return 180.0; }
+};
+
+template <>
+struct shift<radian>
+{
+ static inline double full() { return 2.0 * boost::math::constants::pi<double>(); }
+ static inline double half() { return boost::math::constants::pi<double>(); }
+};
+
+} // namespace detail
+#endif
+
+/*!
+\brief Compare (in one direction) strategy for spherical coordinates
+\ingroup strategies
+\tparam Point point-type
+\tparam Dimension dimension
+*/
+template <typename CoordinateType, typename Units, typename Compare>
+struct circular_comparator
+{
+ static inline CoordinateType put_in_range(CoordinateType const& c,
+ double min_border, double max_border)
+ {
+ CoordinateType value = c;
+ while (value < min_border)
+ {
+ value += detail::shift<Units>::full();
+ }
+ while (value > max_border)
+ {
+ value -= detail::shift<Units>::full();
+ }
+ return value;
+ }
+
+ inline bool operator()(CoordinateType const& c1, CoordinateType const& c2) const
+ {
+ Compare compare;
+
+ // Check situation that one of them is e.g. std::numeric_limits.
+ static const double full = detail::shift<Units>::full();
+ double mx = 10.0 * full;
+ if (c1 < -mx || c1 > mx || c2 < -mx || c2 > mx)
+ {
+ // do normal comparison, using circular is not useful
+ return compare(c1, c2);
+ }
+
+ static const double half = full / 2.0;
+ CoordinateType v1 = put_in_range(c1, -half, half);
+ CoordinateType v2 = put_in_range(c2, -half, half);
+
+ // Two coordinates on a circle are
+ // at max <= half a circle away from each other.
+ // So if it is more, shift origin.
+ CoordinateType diff = geometry::math::abs(v1 - v2);
+ if (diff > half)
+ {
+ v1 = put_in_range(v1, 0, full);
+ v2 = put_in_range(v2, 0, full);
+ }
+
+ return compare(v1, v2);
+ }
+};
+
+}} // namespace strategy::compare
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+// Specialize for the longitude (dim 0)
+template
+<
+ typename Point,
+ template<typename> class CoordinateSystem,
+ typename Units
+>
+struct strategy_compare<spherical_polar_tag, 1, Point, CoordinateSystem<Units>, 0>
+{
+ typedef typename coordinate_type<Point>::type coordinate_type;
+ typedef strategy::compare::circular_comparator
+ <
+ coordinate_type,
+ Units,
+ std::less<coordinate_type>
+ > type;
+};
+
+template
+<
+ typename Point,
+ template<typename> class CoordinateSystem,
+ typename Units
+>
+struct strategy_compare<spherical_polar_tag, -1, Point, CoordinateSystem<Units>, 0>
+{
+ typedef typename coordinate_type<Point>::type coordinate_type;
+ typedef strategy::compare::circular_comparator
+ <
+ coordinate_type,
+ Units,
+ std::greater<coordinate_type>
+ > type;
+};
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_COMPARE_SPHERICAL_HPP
diff --git a/boost/geometry/strategies/spherical/distance_cross_track.hpp b/boost/geometry/strategies/spherical/distance_cross_track.hpp
new file mode 100644
index 0000000000..ba589223ec
--- /dev/null
+++ b/boost/geometry/strategies/spherical/distance_cross_track.hpp
@@ -0,0 +1,349 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_SPHERICAL_DISTANCE_CROSS_TRACK_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_DISTANCE_CROSS_TRACK_HPP
+
+
+#include <boost/concept_check.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+
+
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/concepts/distance_concept.hpp>
+
+#include <boost/geometry/util/promote_floating_point.hpp>
+#include <boost/geometry/util/math.hpp>
+
+#ifdef BOOST_GEOMETRY_DEBUG_CROSS_TRACK
+# include <boost/geometry/io/dsv/write.hpp>
+#endif
+
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace distance
+{
+
+/*!
+\brief Strategy functor for distance point to segment calculation
+\ingroup strategies
+\details Class which calculates the distance of a point to a segment, using latlong points
+\see http://williams.best.vwh.net/avform.htm
+\tparam Point point type
+\tparam PointOfSegment \tparam_segment_point
+\tparam CalculationType \tparam_calculation
+\tparam Strategy underlying point-point distance strategy, defaults to haversine
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.distance.distance_3_with_strategy distance (with strategy)]
+}
+
+*/
+template
+<
+ typename Point,
+ typename PointOfSegment = Point,
+ typename CalculationType = void,
+ typename Strategy = typename services::default_strategy<point_tag, Point>::type
+>
+class cross_track
+{
+public :
+ typedef typename promote_floating_point
+ <
+ typename select_calculation_type
+ <
+ Point,
+ PointOfSegment,
+ CalculationType
+ >::type
+ >::type return_type;
+
+ inline cross_track()
+ {
+ m_strategy = Strategy();
+ m_radius = m_strategy.radius();
+ }
+
+ inline cross_track(return_type const& r)
+ : m_radius(r)
+ , m_strategy(r)
+ {}
+
+ inline cross_track(Strategy const& s)
+ : m_strategy(s)
+ {
+ m_radius = m_strategy.radius();
+ }
+
+
+ // It might be useful in the future
+ // to overload constructor with strategy info.
+ // crosstrack(...) {}
+
+
+ inline return_type apply(Point const& p,
+ PointOfSegment const& sp1, PointOfSegment const& sp2) const
+ {
+ // http://williams.best.vwh.net/avform.htm#XTE
+ return_type d1 = m_strategy.apply(sp1, p);
+
+ // Actually, calculation of d2 not necessary if we know that the projected point is on the great circle...
+ return_type d2 = m_strategy.apply(sp2, p);
+
+ return_type crs_AD = course(sp1, p);
+ return_type crs_AB = course(sp1, sp2);
+ return_type XTD = m_radius * geometry::math::abs(asin(sin(d1 / m_radius) * sin(crs_AD - crs_AB)));
+
+#ifdef BOOST_GEOMETRY_DEBUG_CROSS_TRACK
+std::cout << "Course " << dsv(sp1) << " to " << dsv(p) << " " << crs_AD * geometry::math::r2d << std::endl;
+std::cout << "Course " << dsv(sp1) << " to " << dsv(sp2) << " " << crs_AB * geometry::math::r2d << std::endl;
+std::cout << "XTD: " << XTD << " d1: " << d1 << " d2: " << d2 << std::endl;
+#endif
+
+
+ // Return shortest distance, either to projected point on segment sp1-sp2, or to sp1, or to sp2
+ return return_type((std::min)((std::min)(d1, d2), XTD));
+ }
+
+ inline return_type radius() const { return m_radius; }
+
+private :
+ BOOST_CONCEPT_ASSERT
+ (
+ (geometry::concept::PointDistanceStrategy<Strategy >)
+ );
+
+
+ return_type m_radius;
+
+ // Point-point distances are calculated in radians, on the unit sphere
+ Strategy m_strategy;
+
+ /// Calculate course (bearing) between two points. Might be moved to a "course formula" ...
+ inline return_type course(Point const& p1, Point const& p2) const
+ {
+ // http://williams.best.vwh.net/avform.htm#Crs
+ return_type dlon = get_as_radian<0>(p2) - get_as_radian<0>(p1);
+ return_type cos_p2lat = cos(get_as_radian<1>(p2));
+
+ // "An alternative formula, not requiring the pre-computation of d"
+ return atan2(sin(dlon) * cos_p2lat,
+ cos(get_as_radian<1>(p1)) * sin(get_as_radian<1>(p2))
+ - sin(get_as_radian<1>(p1)) * cos_p2lat * cos(dlon));
+ }
+
+};
+
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct tag<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef strategy_tag_distance_point_segment type;
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct return_type<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef typename cross_track<Point, PointOfSegment, CalculationType, Strategy>::return_type type;
+};
+
+
+template
+<
+ typename Point,
+ typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy,
+ typename P,
+ typename PS
+>
+struct similar_type<cross_track<Point, PointOfSegment, CalculationType, Strategy>, P, PS>
+{
+ typedef cross_track<Point, PointOfSegment, CalculationType, Strategy> type;
+};
+
+
+template
+<
+ typename Point,
+ typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy,
+ typename P,
+ typename PS
+>
+struct get_similar<cross_track<Point, PointOfSegment, CalculationType, Strategy>, P, PS>
+{
+ static inline typename similar_type
+ <
+ cross_track<Point, PointOfSegment, CalculationType, Strategy>, P, PS
+ >::type apply(cross_track<Point, PointOfSegment, CalculationType, Strategy> const& strategy)
+ {
+ return cross_track<P, PS, CalculationType, Strategy>(strategy.radius());
+ }
+};
+
+
+template <typename Point, typename PointOfSegment, typename CalculationType, typename Strategy>
+struct comparable_type<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ // Comparable type is here just the strategy
+ typedef typename similar_type
+ <
+ cross_track
+ <
+ Point, PointOfSegment, CalculationType, Strategy
+ >, Point, PointOfSegment
+ >::type type;
+};
+
+
+template
+<
+ typename Point, typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy
+>
+struct get_comparable<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef typename comparable_type
+ <
+ cross_track<Point, PointOfSegment, CalculationType, Strategy>
+ >::type comparable_type;
+public :
+ static inline comparable_type apply(cross_track<Point, PointOfSegment, CalculationType, Strategy> const& strategy)
+ {
+ return comparable_type(strategy.radius());
+ }
+};
+
+
+template
+<
+ typename Point, typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy
+>
+struct result_from_distance<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+private :
+ typedef typename cross_track<Point, PointOfSegment, CalculationType, Strategy>::return_type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(cross_track<Point, PointOfSegment, CalculationType, Strategy> const& , T const& distance)
+ {
+ return distance;
+ }
+};
+
+
+template
+<
+ typename Point, typename PointOfSegment,
+ typename CalculationType,
+ typename Strategy
+>
+struct strategy_point_point<cross_track<Point, PointOfSegment, CalculationType, Strategy> >
+{
+ typedef Strategy type;
+};
+
+
+
+/*
+
+TODO: spherical polar coordinate system requires "get_as_radian_equatorial<>"
+
+template <typename Point, typename PointOfSegment, typename Strategy>
+struct default_strategy
+ <
+ segment_tag, Point, PointOfSegment,
+ spherical_polar_tag, spherical_polar_tag,
+ Strategy
+ >
+{
+ typedef cross_track
+ <
+ Point,
+ PointOfSegment,
+ void,
+ typename boost::mpl::if_
+ <
+ boost::is_void<Strategy>,
+ typename default_strategy
+ <
+ point_tag, Point, PointOfSegment,
+ spherical_polar_tag, spherical_polar_tag
+ >::type,
+ Strategy
+ >::type
+ > type;
+};
+*/
+
+template <typename Point, typename PointOfSegment, typename Strategy>
+struct default_strategy
+ <
+ segment_tag, Point, PointOfSegment,
+ spherical_equatorial_tag, spherical_equatorial_tag,
+ Strategy
+ >
+{
+ typedef cross_track
+ <
+ Point,
+ PointOfSegment,
+ void,
+ typename boost::mpl::if_
+ <
+ boost::is_void<Strategy>,
+ typename default_strategy
+ <
+ point_tag, Point, PointOfSegment,
+ spherical_equatorial_tag, spherical_equatorial_tag
+ >::type,
+ Strategy
+ >::type
+ > type;
+};
+
+
+
+} // namespace services
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::distance
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+#endif
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_DISTANCE_CROSS_TRACK_HPP
diff --git a/boost/geometry/strategies/spherical/distance_haversine.hpp b/boost/geometry/strategies/spherical/distance_haversine.hpp
new file mode 100644
index 0000000000..59ec1c33ff
--- /dev/null
+++ b/boost/geometry/strategies/spherical/distance_haversine.hpp
@@ -0,0 +1,330 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_SPHERICAL_DISTANCE_HAVERSINE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_DISTANCE_HAVERSINE_HPP
+
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+
+#include <boost/geometry/util/select_calculation_type.hpp>
+#include <boost/geometry/util/promote_floating_point.hpp>
+
+#include <boost/geometry/strategies/distance.hpp>
+
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace distance
+{
+
+
+namespace comparable
+{
+
+// Comparable haversine.
+// To compare distances, we can avoid:
+// - multiplication with radius and 2.0
+// - applying sqrt
+// - applying asin (which is strictly (monotone) increasing)
+template
+<
+ typename Point1,
+ typename Point2 = Point1,
+ typename CalculationType = void
+>
+class haversine
+{
+public :
+ typedef typename promote_floating_point
+ <
+ typename select_calculation_type
+ <
+ Point1,
+ Point2,
+ CalculationType
+ >::type
+ >::type calculation_type;
+
+ inline haversine(calculation_type const& r = 1.0)
+ : m_radius(r)
+ {}
+
+
+ static inline calculation_type apply(Point1 const& p1, Point2 const& p2)
+ {
+ return calculate(get_as_radian<0>(p1), get_as_radian<1>(p1),
+ get_as_radian<0>(p2), get_as_radian<1>(p2));
+ }
+
+ inline calculation_type radius() const
+ {
+ return m_radius;
+ }
+
+
+private :
+
+ static inline calculation_type calculate(calculation_type const& lon1,
+ calculation_type const& lat1,
+ calculation_type const& lon2,
+ calculation_type const& lat2)
+ {
+ return math::hav(lat2 - lat1)
+ + cos(lat1) * cos(lat2) * math::hav(lon2 - lon1);
+ }
+
+ calculation_type m_radius;
+};
+
+
+
+} // namespace comparable
+
+/*!
+\brief Distance calculation for spherical coordinates
+on a perfect sphere using haversine
+\ingroup strategies
+\tparam Point1 \tparam_first_point
+\tparam Point2 \tparam_second_point
+\tparam CalculationType \tparam_calculation
+\author Adapted from: http://williams.best.vwh.net/avform.htm
+\see http://en.wikipedia.org/wiki/Great-circle_distance
+\note It says: <em>The great circle distance d between two
+points with coordinates {lat1,lon1} and {lat2,lon2} is given by:
+ d=acos(sin(lat1)*sin(lat2)+cos(lat1)*cos(lat2)*cos(lon1-lon2))
+A mathematically equivalent formula, which is less subject
+ to rounding error for short distances is:
+ d=2*asin(sqrt((sin((lat1-lat2)/2))^2
+ + cos(lat1)*cos(lat2)*(sin((lon1-lon2)/2))^2))
+ </em>
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.distance.distance_3_with_strategy distance (with strategy)]
+}
+
+*/
+template
+<
+ typename Point1,
+ typename Point2 = Point1,
+ typename CalculationType = void
+>
+class haversine
+{
+ typedef comparable::haversine<Point1, Point2, CalculationType> comparable_type;
+
+public :
+
+ typedef typename services::return_type<comparable_type>::type calculation_type;
+
+ /*!
+ \brief Constructor
+ \param radius radius of the sphere, defaults to 1.0 for the unit sphere
+ */
+ inline haversine(calculation_type const& radius = 1.0)
+ : m_radius(radius)
+ {}
+
+ /*!
+ \brief applies the distance calculation
+ \return the calculated distance (including multiplying with radius)
+ \param p1 first point
+ \param p2 second point
+ */
+ inline calculation_type apply(Point1 const& p1, Point2 const& p2) const
+ {
+ calculation_type const a = comparable_type::apply(p1, p2);
+ calculation_type const c = calculation_type(2.0) * asin(sqrt(a));
+ return m_radius * c;
+ }
+
+ /*!
+ \brief access to radius value
+ \return the radius
+ */
+ inline calculation_type radius() const
+ {
+ return m_radius;
+ }
+
+private :
+ calculation_type m_radius;
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct tag<haversine<Point1, Point2, CalculationType> >
+{
+ typedef strategy_tag_distance_point_point type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct return_type<haversine<Point1, Point2, CalculationType> >
+{
+ typedef typename haversine<Point1, Point2, CalculationType>::calculation_type type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType, typename P1, typename P2>
+struct similar_type<haversine<Point1, Point2, CalculationType>, P1, P2>
+{
+ typedef haversine<P1, P2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType, typename P1, typename P2>
+struct get_similar<haversine<Point1, Point2, CalculationType>, P1, P2>
+{
+private :
+ typedef haversine<Point1, Point2, CalculationType> this_type;
+public :
+ static inline typename similar_type<this_type, P1, P2>::type apply(this_type const& input)
+ {
+ return haversine<P1, P2, CalculationType>(input.radius());
+ }
+};
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct comparable_type<haversine<Point1, Point2, CalculationType> >
+{
+ typedef comparable::haversine<Point1, Point2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct get_comparable<haversine<Point1, Point2, CalculationType> >
+{
+private :
+ typedef haversine<Point1, Point2, CalculationType> this_type;
+ typedef comparable::haversine<Point1, Point2, CalculationType> comparable_type;
+public :
+ static inline comparable_type apply(this_type const& input)
+ {
+ return comparable_type(input.radius());
+ }
+};
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct result_from_distance<haversine<Point1, Point2, CalculationType> >
+{
+private :
+ typedef haversine<Point1, Point2, CalculationType> this_type;
+ typedef typename return_type<this_type>::type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(this_type const& , T const& value)
+ {
+ return return_type(value);
+ }
+};
+
+
+// Specializations for comparable::haversine
+template <typename Point1, typename Point2, typename CalculationType>
+struct tag<comparable::haversine<Point1, Point2, CalculationType> >
+{
+ typedef strategy_tag_distance_point_point type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct return_type<comparable::haversine<Point1, Point2, CalculationType> >
+{
+ typedef typename comparable::haversine<Point1, Point2, CalculationType>::calculation_type type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType, typename P1, typename P2>
+struct similar_type<comparable::haversine<Point1, Point2, CalculationType>, P1, P2>
+{
+ typedef comparable::haversine<P1, P2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType, typename P1, typename P2>
+struct get_similar<comparable::haversine<Point1, Point2, CalculationType>, P1, P2>
+{
+private :
+ typedef comparable::haversine<Point1, Point2, CalculationType> this_type;
+public :
+ static inline typename similar_type<this_type, P1, P2>::type apply(this_type const& input)
+ {
+ return comparable::haversine<P1, P2, CalculationType>(input.radius());
+ }
+};
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct comparable_type<comparable::haversine<Point1, Point2, CalculationType> >
+{
+ typedef comparable::haversine<Point1, Point2, CalculationType> type;
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct get_comparable<comparable::haversine<Point1, Point2, CalculationType> >
+{
+private :
+ typedef comparable::haversine<Point1, Point2, CalculationType> this_type;
+public :
+ static inline this_type apply(this_type const& input)
+ {
+ return input;
+ }
+};
+
+
+template <typename Point1, typename Point2, typename CalculationType>
+struct result_from_distance<comparable::haversine<Point1, Point2, CalculationType> >
+{
+private :
+ typedef comparable::haversine<Point1, Point2, CalculationType> strategy_type;
+ typedef typename return_type<strategy_type>::type return_type;
+public :
+ template <typename T>
+ static inline return_type apply(strategy_type const& strategy, T const& distance)
+ {
+ return_type const s = sin((distance / strategy.radius()) / return_type(2));
+ return s * s;
+ }
+};
+
+
+// Register it as the default for point-types
+// in a spherical equatorial coordinate system
+template <typename Point1, typename Point2>
+struct default_strategy<point_tag, Point1, Point2, spherical_equatorial_tag, spherical_equatorial_tag>
+{
+ typedef strategy::distance::haversine<Point1, Point2> type;
+};
+
+// Note: spherical polar coordinate system requires "get_as_radian_equatorial"
+
+
+} // namespace services
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::distance
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_DISTANCE_HAVERSINE_HPP
diff --git a/boost/geometry/strategies/spherical/side_by_cross_track.hpp b/boost/geometry/strategies/spherical/side_by_cross_track.hpp
new file mode 100644
index 0000000000..b7cf279d5b
--- /dev/null
+++ b/boost/geometry/strategies/spherical/side_by_cross_track.hpp
@@ -0,0 +1,100 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 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_STRATEGIES_SPHERICAL_SIDE_BY_CROSS_TRACK_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SIDE_BY_CROSS_TRACK_HPP
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/util/math.hpp>
+
+#include <boost/geometry/strategies/side.hpp>
+//#include <boost/geometry/strategies/concepts/side_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace side
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+/// Calculate course (bearing) between two points. Might be moved to a "course formula" ...
+template <typename Point>
+static inline double course(Point const& p1, Point const& p2)
+{
+ // http://williams.best.vwh.net/avform.htm#Crs
+ double dlon = get_as_radian<0>(p2) - get_as_radian<0>(p1);
+ double cos_p2lat = cos(get_as_radian<1>(p2));
+
+ // "An alternative formula, not requiring the pre-computation of d"
+ return atan2(sin(dlon) * cos_p2lat,
+ cos(get_as_radian<1>(p1)) * sin(get_as_radian<1>(p2))
+ - sin(get_as_radian<1>(p1)) * cos_p2lat * cos(dlon));
+}
+
+}
+#endif // DOXYGEN_NO_DETAIL
+
+
+
+/*!
+\brief Check at which side of a Great Circle segment a point lies
+ left of segment (> 0), right of segment (< 0), on segment (0)
+\ingroup strategies
+\tparam CalculationType \tparam_calculation
+ */
+template <typename CalculationType = void>
+class side_by_cross_track
+{
+
+public :
+ template <typename P1, typename P2, typename P>
+ static inline int apply(P1 const& p1, P2 const& p2, P const& p)
+ {
+ typedef typename boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+ typename select_most_precise
+ <
+ typename select_most_precise
+ <
+ typename coordinate_type<P1>::type,
+ typename coordinate_type<P2>::type
+ >::type,
+ typename coordinate_type<P>::type
+ >::type,
+ CalculationType
+ >::type coordinate_type;
+
+ double d1 = 0.001; // m_strategy.apply(sp1, p);
+ double crs_AD = detail::course(p1, p);
+ double crs_AB = detail::course(p1, p2);
+ double XTD = asin(sin(d1) * sin(crs_AD - crs_AB));
+
+ return math::equals(XTD, 0) ? 0 : XTD < 0 ? 1 : -1;
+ }
+};
+
+}} // namespace strategy::side
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SIDE_BY_CROSS_TRACK_HPP
diff --git a/boost/geometry/strategies/spherical/ssf.hpp b/boost/geometry/strategies/spherical/ssf.hpp
new file mode 100644
index 0000000000..ab7c67559a
--- /dev/null
+++ b/boost/geometry/strategies/spherical/ssf.hpp
@@ -0,0 +1,136 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 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_STRATEGIES_SPHERICAL_SSF_HPP
+#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/util/math.hpp>
+
+#include <boost/geometry/strategies/side.hpp>
+//#include <boost/geometry/strategies/concepts/side_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace side
+{
+
+
+/*!
+\brief Check at which side of a Great Circle segment a point lies
+ left of segment (> 0), right of segment (< 0), on segment (0)
+\ingroup strategies
+\tparam CalculationType \tparam_calculation
+ */
+template <typename CalculationType = void>
+class spherical_side_formula
+{
+
+public :
+ template <typename P1, typename P2, typename P>
+ static inline int apply(P1 const& p1, P2 const& p2, P const& p)
+ {
+ typedef typename boost::mpl::if_c
+ <
+ boost::is_void<CalculationType>::type::value,
+
+ // Select at least a double...
+ typename select_most_precise
+ <
+ typename select_most_precise
+ <
+ typename select_most_precise
+ <
+ typename coordinate_type<P1>::type,
+ typename coordinate_type<P2>::type
+ >::type,
+ typename coordinate_type<P>::type
+ >::type,
+ double
+ >::type,
+ CalculationType
+ >::type coordinate_type;
+
+ // Convenient shortcuts
+ typedef coordinate_type ct;
+ ct const lambda1 = get_as_radian<0>(p1);
+ ct const delta1 = get_as_radian<1>(p1);
+ ct const lambda2 = get_as_radian<0>(p2);
+ ct const delta2 = get_as_radian<1>(p2);
+ ct const lambda = get_as_radian<0>(p);
+ ct const delta = get_as_radian<1>(p);
+
+ // Create temporary points (vectors) on unit a sphere
+ ct const cos_delta1 = cos(delta1);
+ ct const c1x = cos_delta1 * cos(lambda1);
+ ct const c1y = cos_delta1 * sin(lambda1);
+ ct const c1z = sin(delta1);
+
+ ct const cos_delta2 = cos(delta2);
+ ct const c2x = cos_delta2 * cos(lambda2);
+ ct const c2y = cos_delta2 * sin(lambda2);
+ ct const c2z = sin(delta2);
+
+ // (Third point is converted directly)
+ ct const cos_delta = cos(delta);
+
+ // Apply the "Spherical Side Formula" as presented on my blog
+ ct const dist
+ = (c1y * c2z - c1z * c2y) * cos_delta * cos(lambda)
+ + (c1z * c2x - c1x * c2z) * cos_delta * sin(lambda)
+ + (c1x * c2y - c1y * c2x) * sin(delta);
+
+ ct zero = ct();
+ return dist > zero ? 1
+ : dist < zero ? -1
+ : 0;
+ }
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+/*template <typename CalculationType>
+struct default_strategy<spherical_polar_tag, CalculationType>
+{
+ typedef spherical_side_formula<CalculationType> type;
+};*/
+
+template <typename CalculationType>
+struct default_strategy<spherical_equatorial_tag, CalculationType>
+{
+ typedef spherical_side_formula<CalculationType> type;
+};
+
+template <typename CalculationType>
+struct default_strategy<geographic_tag, CalculationType>
+{
+ typedef spherical_side_formula<CalculationType> type;
+};
+
+}
+#endif
+
+}} // namespace strategy::side
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
diff --git a/boost/geometry/strategies/strategies.hpp b/boost/geometry/strategies/strategies.hpp
new file mode 100644
index 0000000000..3aa9ab00f5
--- /dev/null
+++ b/boost/geometry/strategies/strategies.hpp
@@ -0,0 +1,59 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_STRATEGIES_HPP
+#define BOOST_GEOMETRY_STRATEGIES_STRATEGIES_HPP
+
+
+#include <boost/geometry/strategies/tags.hpp>
+
+#include <boost/geometry/strategies/area.hpp>
+#include <boost/geometry/strategies/centroid.hpp>
+#include <boost/geometry/strategies/compare.hpp>
+#include <boost/geometry/strategies/convex_hull.hpp>
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/intersection.hpp>
+#include <boost/geometry/strategies/side.hpp>
+#include <boost/geometry/strategies/transform.hpp>
+#include <boost/geometry/strategies/within.hpp>
+
+#include <boost/geometry/strategies/cartesian/area_surveyor.hpp>
+#include <boost/geometry/strategies/cartesian/box_in_box.hpp>
+#include <boost/geometry/strategies/cartesian/centroid_bashein_detmer.hpp>
+#include <boost/geometry/strategies/cartesian/centroid_weighted_length.hpp>
+#include <boost/geometry/strategies/cartesian/distance_pythagoras.hpp>
+#include <boost/geometry/strategies/cartesian/distance_projected_point.hpp>
+#include <boost/geometry/strategies/cartesian/point_in_box.hpp>
+#include <boost/geometry/strategies/cartesian/point_in_poly_franklin.hpp>
+#include <boost/geometry/strategies/cartesian/point_in_poly_crossings_multiply.hpp>
+#include <boost/geometry/strategies/cartesian/side_by_triangle.hpp>
+
+#include <boost/geometry/strategies/spherical/area_huiller.hpp>
+#include <boost/geometry/strategies/spherical/distance_haversine.hpp>
+#include <boost/geometry/strategies/spherical/distance_cross_track.hpp>
+#include <boost/geometry/strategies/spherical/compare_circular.hpp>
+#include <boost/geometry/strategies/spherical/ssf.hpp>
+
+#include <boost/geometry/strategies/agnostic/hull_graham_andrew.hpp>
+#include <boost/geometry/strategies/agnostic/point_in_box_by_side.hpp>
+#include <boost/geometry/strategies/agnostic/point_in_poly_winding.hpp>
+#include <boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp>
+
+#include <boost/geometry/strategies/strategy_transform.hpp>
+
+#include <boost/geometry/strategies/transform/matrix_transformers.hpp>
+#include <boost/geometry/strategies/transform/map_transformer.hpp>
+#include <boost/geometry/strategies/transform/inverse_transformer.hpp>
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_STRATEGIES_HPP
diff --git a/boost/geometry/strategies/strategy_transform.hpp b/boost/geometry/strategies/strategy_transform.hpp
new file mode 100644
index 0000000000..7a1f060169
--- /dev/null
+++ b/boost/geometry/strategies/strategy_transform.hpp
@@ -0,0 +1,470 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_STRATEGY_TRANSFORM_HPP
+#define BOOST_GEOMETRY_STRATEGIES_STRATEGY_TRANSFORM_HPP
+
+#include <cstddef>
+#include <cmath>
+#include <functional>
+
+#include <boost/numeric/conversion/cast.hpp>
+
+#include <boost/geometry/algorithms/convert.hpp>
+#include <boost/geometry/arithmetic/arithmetic.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace transform
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template
+<
+ typename Src, typename Dst,
+ std::size_t D, std::size_t N,
+ template <typename> class F
+>
+struct transform_coordinates
+{
+ template <typename T>
+ static inline void transform(Src const& source, Dst& dest, T value)
+ {
+ typedef typename select_coordinate_type<Src, Dst>::type coordinate_type;
+
+ F<coordinate_type> function;
+ set<D>(dest, boost::numeric_cast<coordinate_type>(function(get<D>(source), value)));
+ transform_coordinates<Src, Dst, D + 1, N, F>::transform(source, dest, value);
+ }
+};
+
+template
+<
+ typename Src, typename Dst,
+ std::size_t N,
+ template <typename> class F
+>
+struct transform_coordinates<Src, Dst, N, N, F>
+{
+ template <typename T>
+ static inline void transform(Src const& , Dst& , T )
+ {
+ }
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+ \brief Transformation strategy to copy one point to another using assignment operator
+ \ingroup transform
+ \tparam P point type
+ */
+template <typename P>
+struct copy_direct
+{
+ inline bool apply(P const& p1, P& p2) const
+ {
+ p2 = p1;
+ return true;
+ }
+};
+
+/*!
+ \brief Transformation strategy to do copy a point, copying per coordinate.
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ */
+template <typename P1, typename P2>
+struct copy_per_coordinate
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ // Defensive check, dimensions are equal, selected by specialization
+ assert_dimension_equal<P1, P2>();
+
+ geometry::convert(p1, p2);
+ return true;
+ }
+};
+
+
+/*!
+ \brief Transformation strategy to go from degree to radian and back
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ \tparam F additional functor to divide or multiply with d2r
+ */
+template <typename P1, typename P2, template <typename> class F>
+struct degree_radian_vv
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ // Spherical coordinates always have 2 coordinates measured in angles
+ // The optional third one is distance/height, provided in another strategy
+ // Polar coordinates having one angle, will be also in another strategy
+ assert_dimension<P1, 2>();
+ assert_dimension<P2, 2>();
+
+ detail::transform_coordinates<P1, P2, 0, 2, F>::transform(p1, p2, math::d2r);
+ return true;
+ }
+};
+
+template <typename P1, typename P2, template <typename> class F>
+struct degree_radian_vv_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ assert_dimension<P2, 3>();
+
+ detail::transform_coordinates<P1, P2, 0, 2, F>::transform(p1, p2, math::d2r);
+ // Copy height or other third dimension
+ set<2>(p2, get<2>(p1));
+ return true;
+ }
+};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+ /// Helper function for conversion, phi/theta are in radians
+ template <typename P, typename T, typename R>
+ inline void spherical_polar_to_cartesian(T phi, T theta, R r, P& p)
+ {
+ assert_dimension<P, 3>();
+
+ // http://en.wikipedia.org/wiki/List_of_canonical_coordinate_transformations#From_spherical_coordinates
+ // http://www.vias.org/comp_geometry/math_coord_convert_3d.htm
+ // https://moodle.polymtl.ca/file.php/1183/Autres_Documents/Derivation_for_Spherical_Co-ordinates.pdf
+ // http://en.citizendium.org/wiki/Spherical_polar_coordinates
+
+ // Phi = first, theta is second, r is third, see documentation on cs::spherical
+
+ // (calculations are splitted to implement ttmath)
+
+ T r_sin_theta = r;
+ T r_cos_theta = r;
+ r_sin_theta *= sin(theta);
+ r_cos_theta *= cos(theta);
+
+ set<0>(p, r_sin_theta * cos(phi));
+ set<1>(p, r_sin_theta * sin(phi));
+ set<2>(p, r_cos_theta);
+ }
+
+ /// Helper function for conversion, lambda/delta (lon lat) are in radians
+ template <typename P, typename T, typename R>
+ inline void spherical_equatorial_to_cartesian(T lambda, T delta, R r, P& p)
+ {
+ assert_dimension<P, 3>();
+
+ // http://mathworld.wolfram.com/GreatCircle.html
+ // http://www.spenvis.oma.be/help/background/coortran/coortran.html WRONG
+
+ T r_cos_delta = r;
+ T r_sin_delta = r;
+ r_cos_delta *= cos(delta);
+ r_sin_delta *= sin(delta);
+
+ set<0>(p, r_cos_delta * cos(lambda));
+ set<1>(p, r_cos_delta * sin(lambda));
+ set<2>(p, r_sin_delta);
+ }
+
+
+ /// Helper function for conversion
+ template <typename P, typename T>
+ inline bool cartesian_to_spherical2(T x, T y, T z, P& p)
+ {
+ assert_dimension<P, 2>();
+
+ // http://en.wikipedia.org/wiki/List_of_canonical_coordinate_transformations#From_Cartesian_coordinates
+
+#if defined(BOOST_GEOMETRY_TRANSFORM_CHECK_UNIT_SPHERE)
+ // TODO: MAYBE ONLY IF TO BE CHECKED?
+ T const r = /*sqrt not necessary, sqrt(1)=1*/ (x * x + y * y + z * z);
+
+ // Unit sphere, so r should be 1
+ if (geometry::math::abs(r - 1.0) > T(1e-6))
+ {
+ return false;
+ }
+ // end todo
+#endif
+
+ set_from_radian<0>(p, atan2(y, x));
+ set_from_radian<1>(p, acos(z));
+ return true;
+ }
+
+ template <typename P, typename T>
+ inline bool cartesian_to_spherical_equatorial2(T x, T y, T z, P& p)
+ {
+ assert_dimension<P, 2>();
+
+ set_from_radian<0>(p, atan2(y, x));
+ set_from_radian<1>(p, asin(z));
+ return true;
+ }
+
+
+ template <typename P, typename T>
+ inline bool cartesian_to_spherical3(T x, T y, T z, P& p)
+ {
+ assert_dimension<P, 3>();
+
+ // http://en.wikipedia.org/wiki/List_of_canonical_coordinate_transformations#From_Cartesian_coordinates
+ T const r = sqrt(x * x + y * y + z * z);
+ set<2>(p, r);
+ set_from_radian<0>(p, atan2(y, x));
+ if (r > 0.0)
+ {
+ set_from_radian<1>(p, acos(z / r));
+ return true;
+ }
+ return false;
+ }
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+ \brief Transformation strategy for 2D spherical (phi,theta) to 3D cartesian (x,y,z)
+ \details on Unit sphere
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ */
+template <typename P1, typename P2>
+struct from_spherical_polar_2_to_cartesian_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 2>();
+ detail::spherical_polar_to_cartesian(get_as_radian<0>(p1), get_as_radian<1>(p1), 1.0, p2);
+ return true;
+ }
+};
+
+template <typename P1, typename P2>
+struct from_spherical_equatorial_2_to_cartesian_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 2>();
+ detail::spherical_equatorial_to_cartesian(get_as_radian<0>(p1), get_as_radian<1>(p1), 1.0, p2);
+ return true;
+ }
+};
+
+
+/*!
+ \brief Transformation strategy for 3D spherical (phi,theta,r) to 3D cartesian (x,y,z)
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ */
+template <typename P1, typename P2>
+struct from_spherical_polar_3_to_cartesian_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ detail::spherical_polar_to_cartesian(
+ get_as_radian<0>(p1), get_as_radian<1>(p1), get<2>(p1), p2);
+ return true;
+ }
+};
+
+template <typename P1, typename P2>
+struct from_spherical_equatorial_3_to_cartesian_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ detail::spherical_equatorial_to_cartesian(
+ get_as_radian<0>(p1), get_as_radian<1>(p1), get<2>(p1), p2);
+ return true;
+ }
+};
+
+
+/*!
+ \brief Transformation strategy for 3D cartesian (x,y,z) to 2D spherical (phi,theta)
+ \details on Unit sphere
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ \note If x,y,z point is not lying on unit sphere, transformation will return false
+ */
+template <typename P1, typename P2>
+struct from_cartesian_3_to_spherical_polar_2
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ return detail::cartesian_to_spherical2(get<0>(p1), get<1>(p1), get<2>(p1), p2);
+ }
+};
+
+template <typename P1, typename P2>
+struct from_cartesian_3_to_spherical_equatorial_2
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ return detail::cartesian_to_spherical_equatorial2(get<0>(p1), get<1>(p1), get<2>(p1), p2);
+ }
+};
+
+
+/*!
+ \brief Transformation strategy for 3D cartesian (x,y,z) to 3D spherical (phi,theta,r)
+ \ingroup transform
+ \tparam P1 first point type
+ \tparam P2 second point type
+ */
+template <typename P1, typename P2>
+struct from_cartesian_3_to_spherical_polar_3
+{
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension<P1, 3>();
+ return detail::cartesian_to_spherical3(get<0>(p1), get<1>(p1), get<2>(p1), p2);
+ }
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+/// Specialization for same coordinate system family, same system, same dimension, same point type, can be copied
+template <typename CoordSysTag, typename CoordSys, std::size_t D, typename P>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys, CoordSys, D, D, P, P>
+{
+ typedef copy_direct<P> type;
+};
+
+/// Specialization for same coordinate system family and system, same dimension, different point type, copy per coordinate
+template <typename CoordSysTag, typename CoordSys, std::size_t D, typename P1, typename P2>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys, CoordSys, D, D, P1, P2>
+{
+ typedef copy_per_coordinate<P1, P2> type;
+};
+
+/// Specialization to transform from degree to radian for any coordinate system / point type combination
+template <typename CoordSysTag, template<typename> class CoordSys, typename P1, typename P2>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys<degree>, CoordSys<radian>, 2, 2, P1, P2>
+{
+ typedef degree_radian_vv<P1, P2, std::multiplies> type;
+};
+
+/// Specialization to transform from radian to degree for any coordinate system / point type combination
+template <typename CoordSysTag, template<typename> class CoordSys, typename P1, typename P2>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys<radian>, CoordSys<degree>, 2, 2, P1, P2>
+{
+ typedef degree_radian_vv<P1, P2, std::divides> type;
+};
+
+
+/// Specialization degree->radian in 3D
+template <typename CoordSysTag, template<typename> class CoordSys, typename P1, typename P2>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys<degree>, CoordSys<radian>, 3, 3, P1, P2>
+{
+ typedef degree_radian_vv_3<P1, P2, std::multiplies> type;
+};
+
+/// Specialization radian->degree in 3D
+template <typename CoordSysTag, template<typename> class CoordSys, typename P1, typename P2>
+struct default_strategy<CoordSysTag, CoordSysTag, CoordSys<radian>, CoordSys<degree>, 3, 3, P1, P2>
+{
+ typedef degree_radian_vv_3<P1, P2, std::divides> type;
+};
+
+/// Specialization to transform from unit sphere(phi,theta) to XYZ
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<spherical_polar_tag, cartesian_tag, CoordSys1, CoordSys2, 2, 3, P1, P2>
+{
+ typedef from_spherical_polar_2_to_cartesian_3<P1, P2> type;
+};
+
+/// Specialization to transform from sphere(phi,theta,r) to XYZ
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<spherical_polar_tag, cartesian_tag, CoordSys1, CoordSys2, 3, 3, P1, P2>
+{
+ typedef from_spherical_polar_3_to_cartesian_3<P1, P2> type;
+};
+
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<spherical_equatorial_tag, cartesian_tag, CoordSys1, CoordSys2, 2, 3, P1, P2>
+{
+ typedef from_spherical_equatorial_2_to_cartesian_3<P1, P2> type;
+};
+
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<spherical_equatorial_tag, cartesian_tag, CoordSys1, CoordSys2, 3, 3, P1, P2>
+{
+ typedef from_spherical_equatorial_3_to_cartesian_3<P1, P2> type;
+};
+
+/// Specialization to transform from XYZ to unit sphere(phi,theta)
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<cartesian_tag, spherical_polar_tag, CoordSys1, CoordSys2, 3, 2, P1, P2>
+{
+ typedef from_cartesian_3_to_spherical_polar_2<P1, P2> type;
+};
+
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<cartesian_tag, spherical_equatorial_tag, CoordSys1, CoordSys2, 3, 2, P1, P2>
+{
+ typedef from_cartesian_3_to_spherical_equatorial_2<P1, P2> type;
+};
+
+/// Specialization to transform from XYZ to sphere(phi,theta,r)
+template <typename CoordSys1, typename CoordSys2, typename P1, typename P2>
+struct default_strategy<cartesian_tag, spherical_polar_tag, CoordSys1, CoordSys2, 3, 3, P1, P2>
+{
+ typedef from_cartesian_3_to_spherical_polar_3<P1, P2> type;
+};
+
+
+} // namespace services
+
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::transform
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_STRATEGY_TRANSFORM_HPP
diff --git a/boost/geometry/strategies/tags.hpp b/boost/geometry/strategies/tags.hpp
new file mode 100644
index 0000000000..39f2f23036
--- /dev/null
+++ b/boost/geometry/strategies/tags.hpp
@@ -0,0 +1,41 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_TAGS_HPP
+#define BOOST_GEOMETRY_STRATEGIES_TAGS_HPP
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy
+{
+ /*!
+ \brief Indicate compiler/library user that strategy is not implemented.
+ \details Strategies are defined for point types or for point type
+ combinations. If there is no implementation for that specific point type, or point type
+ combination, the calculation cannot be done. To indicate this, this not_implemented
+ class is used as a typedef stub.
+
+ */
+ struct not_implemented {};
+}
+
+
+struct strategy_tag_distance_point_point {};
+struct strategy_tag_distance_point_segment {};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_TAGS_HPP
diff --git a/boost/geometry/strategies/transform.hpp b/boost/geometry/strategies/transform.hpp
new file mode 100644
index 0000000000..3c806acac6
--- /dev/null
+++ b/boost/geometry/strategies/transform.hpp
@@ -0,0 +1,63 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_TRANSFORM_HPP
+#define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_HPP
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+
+#include <boost/geometry/strategies/tags.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace transform { namespace services
+{
+
+/*!
+ \brief Traits class binding a transformation strategy to a coordinate system
+ \ingroup transform
+ \details Can be specialized
+ - per coordinate system family (tag)
+ - per coordinate system (or groups of them)
+ - per dimension
+ - per point type
+ \tparam CoordinateSystemTag 1,2 coordinate system tags
+ \tparam CoordinateSystem 1,2 coordinate system
+ \tparam D 1, 2 dimension
+ \tparam Point 1, 2 point type
+ */
+template
+<
+ typename CoordinateSystemTag1, typename CoordinateSystemTag2,
+ typename CoordinateSystem1, typename CoordinateSystem2,
+ std::size_t Dimension1, std::size_t Dimension2,
+ typename Point1, typename Point2
+>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_POINT_TYPES
+ , (types<Point1, Point2>)
+ );
+};
+
+}}} // namespace strategy::transform::services
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_HPP
diff --git a/boost/geometry/strategies/transform/inverse_transformer.hpp b/boost/geometry/strategies/transform/inverse_transformer.hpp
new file mode 100644
index 0000000000..845a71ded3
--- /dev/null
+++ b/boost/geometry/strategies/transform/inverse_transformer.hpp
@@ -0,0 +1,78 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
+#define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
+
+// Remove the ublas checking, otherwise the inverse might fail
+// (while nothing seems to be wrong)
+#define BOOST_UBLAS_TYPE_CHECK 0
+
+#include <boost/numeric/ublas/lu.hpp>
+#include <boost/numeric/ublas/io.hpp>
+
+#include <boost/geometry/strategies/transform/matrix_transformers.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace transform
+{
+
+/*!
+\brief Transformation strategy to do an inverse ransformation in Cartesian system
+\ingroup strategies
+\tparam P1 first point type
+\tparam P2 second point type
+ */
+template <typename P1, typename P2>
+class inverse_transformer
+ : public ublas_transformer<P1, P2, dimension<P1>::type::value, dimension<P2>::type::value>
+{
+ typedef typename select_coordinate_type<P1, P2>::type T;
+
+public :
+ template <typename Transformer>
+ inline inverse_transformer(Transformer const& input)
+ {
+ typedef boost::numeric::ublas::matrix<T> matrix_type;
+
+ // create a working copy of the input
+ matrix_type copy(input.matrix());
+
+ // create a permutation matrix for the LU-factorization
+ typedef boost::numeric::ublas::permutation_matrix<> permutation_matrix;
+ permutation_matrix pm(copy.size1());
+
+ // perform LU-factorization
+ int res = boost::numeric::ublas::lu_factorize<matrix_type>(copy, pm);
+ if( res == 0 )
+ {
+ // create identity matrix
+ this->m_matrix.assign(boost::numeric::ublas::identity_matrix<T>(copy.size1()));
+
+ // backsubstitute to get the inverse
+ boost::numeric::ublas::lu_substitute(copy, pm, this->m_matrix);
+ }
+ }
+
+};
+
+
+}} // namespace strategy::transform
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_INVERSE_TRANSFORMER_HPP
diff --git a/boost/geometry/strategies/transform/map_transformer.hpp b/boost/geometry/strategies/transform/map_transformer.hpp
new file mode 100644
index 0000000000..150ff1de9b
--- /dev/null
+++ b/boost/geometry/strategies/transform/map_transformer.hpp
@@ -0,0 +1,165 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_TRANSFORM_MAP_TRANSFORMER_HPP
+#define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_MAP_TRANSFORMER_HPP
+
+
+#include <cstddef>
+
+#include <boost/geometry/strategies/transform/matrix_transformers.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace transform
+{
+
+/*!
+\brief Transformation strategy to do map from one to another Cartesian system
+\ingroup strategies
+\tparam P1 first point type
+\tparam P2 second point type
+\tparam Mirror if true map is mirrored upside-down (in most cases pixels
+ are from top to bottom, while map is from bottom to top)
+ */
+template
+<
+ typename P1, typename P2,
+ bool Mirror = false, bool SameScale = true,
+ std::size_t Dimension1 = dimension<P1>::type::value,
+ std::size_t Dimension2 = dimension<P2>::type::value
+>
+class map_transformer
+ : public ublas_transformer<P1, P2, Dimension1, Dimension2>
+{
+ typedef typename select_coordinate_type<P1, P2>::type T;
+ typedef boost::numeric::ublas::matrix<T> M;
+
+public :
+ template <typename B, typename D>
+ explicit inline map_transformer(B const& box, D const& width, D const& height)
+ {
+ set_transformation(
+ get<min_corner, 0>(box), get<min_corner, 1>(box),
+ get<max_corner, 0>(box), get<max_corner, 1>(box),
+ width, height);
+ }
+
+ template <typename W, typename D>
+ explicit inline map_transformer(W const& wx1, W const& wy1, W const& wx2, W const& wy2,
+ D const& width, D const& height)
+ {
+ set_transformation(wx1, wy1, wx2, wy2, width, height);
+ }
+
+
+private :
+ template <typename W, typename P, typename S>
+ inline void set_transformation_point(W const& wx, W const& wy,
+ P const& px, P const& py,
+ S const& scalex, S const& scaley)
+ {
+
+ // Translate to a coordinate system centered on world coordinates (-wx, -wy)
+ M t1(3,3);
+ t1(0,0) = 1; t1(0,1) = 0; t1(0,2) = -wx;
+ t1(1,0) = 0; t1(1,1) = 1; t1(1,2) = -wy;
+ t1(2,0) = 0; t1(2,1) = 0; t1(2,2) = 1;
+
+ // Scale the map
+ M s(3,3);
+ s(0,0) = scalex; s(0,1) = 0; s(0,2) = 0;
+ s(1,0) = 0; s(1,1) = scaley; s(1,2) = 0;
+ s(2,0) = 0; s(2,1) = 0; s(2,2) = 1;
+
+ // Translate to a coordinate system centered on the specified pixels (+px, +py)
+ M t2(3, 3);
+ t2(0,0) = 1; t2(0,1) = 0; t2(0,2) = px;
+ t2(1,0) = 0; t2(1,1) = 1; t2(1,2) = py;
+ t2(2,0) = 0; t2(2,1) = 0; t2(2,2) = 1;
+
+ // Calculate combination matrix in two steps
+ this->m_matrix = boost::numeric::ublas::prod(s, t1);
+ this->m_matrix = boost::numeric::ublas::prod(t2, this->m_matrix);
+ }
+
+
+ template <typename W, typename D>
+ void set_transformation(W const& wx1, W const& wy1, W const& wx2, W const& wy2,
+ D const& width, D const& height)
+ {
+ D px1 = 0;
+ D py1 = 0;
+ D px2 = width;
+ D py2 = height;
+
+ // Get the same type, but at least a double
+ typedef typename select_most_precise<D, double>::type type;
+
+
+ // Calculate appropriate scale, take min because whole box must fit
+ // Scale is in PIXELS/MAPUNITS (meters)
+ W wdx = wx2 - wx1;
+ W wdy = wy2 - wy1;
+ type sx = (px2 - px1) / boost::numeric_cast<type>(wdx);
+ type sy = (py2 - py1) / boost::numeric_cast<type>(wdy);
+
+ if (SameScale)
+ {
+ type scale = (std::min)(sx, sy);
+ sx = scale;
+ sy = scale;
+ }
+
+ // Calculate centerpoints
+ W wtx = wx1 + wx2;
+ W wty = wy1 + wy2;
+ W two = 2;
+ W wmx = wtx / two;
+ W wmy = wty / two;
+ type pmx = (px1 + px2) / 2.0;
+ type pmy = (py1 + py2) / 2.0;
+
+ set_transformation_point(wmx, wmy, pmx, pmy, sx, sy);
+
+ if (Mirror)
+ {
+ // Mirror in y-direction
+ M m(3,3);
+ m(0,0) = 1; m(0,1) = 0; m(0,2) = 0;
+ m(1,0) = 0; m(1,1) = -1; m(1,2) = 0;
+ m(2,0) = 0; m(2,1) = 0; m(2,2) = 1;
+
+ // Translate in y-direction such that it fits again
+ M y(3, 3);
+ y(0,0) = 1; y(0,1) = 0; y(0,2) = 0;
+ y(1,0) = 0; y(1,1) = 1; y(1,2) = height;
+ y(2,0) = 0; y(2,1) = 0; y(2,2) = 1;
+
+ // Calculate combination matrix in two steps
+ this->m_matrix = boost::numeric::ublas::prod(m, this->m_matrix);
+ this->m_matrix = boost::numeric::ublas::prod(y, this->m_matrix);
+ }
+ }
+};
+
+
+}} // namespace strategy::transform
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_MAP_TRANSFORMER_HPP
diff --git a/boost/geometry/strategies/transform/matrix_transformers.hpp b/boost/geometry/strategies/transform/matrix_transformers.hpp
new file mode 100644
index 0000000000..68da240934
--- /dev/null
+++ b/boost/geometry/strategies/transform/matrix_transformers.hpp
@@ -0,0 +1,422 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_TRANSFORM_MATRIX_TRANSFORMERS_HPP
+#define BOOST_GEOMETRY_STRATEGIES_TRANSFORM_MATRIX_TRANSFORMERS_HPP
+
+
+#include <cstddef>
+
+// Remove the ublas checking, otherwise the inverse might fail
+// (while nothing seems to be wrong)
+#define BOOST_UBLAS_TYPE_CHECK 0
+
+#include <boost/numeric/conversion/cast.hpp>
+#include <boost/numeric/ublas/vector.hpp>
+#include <boost/numeric/ublas/matrix.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace transform
+{
+
+/*!
+\brief Affine transformation strategy in Cartesian system.
+\details The strategy serves as a generic definition of affine transformation matrix
+ and procedure of application it to given point.
+\see http://en.wikipedia.org/wiki/Affine_transformation
+ and http://www.devmaster.net/wiki/Transformation_matrices
+\ingroup strategies
+\tparam P1 first point type (source)
+\tparam P2 second point type (target)
+\tparam Dimension1 number of dimensions to transform from first point
+\tparam Dimension1 number of dimensions to transform to second point
+ */
+template
+<
+ typename P1, typename P2,
+ std::size_t Dimension1,
+ std::size_t Dimension2
+>
+class ublas_transformer
+{
+};
+
+
+template <typename P1, typename P2>
+class ublas_transformer<P1, P2, 2, 2>
+{
+protected :
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+ typedef coordinate_type ct; // Abbreviation
+ typedef boost::numeric::ublas::matrix<coordinate_type> matrix_type;
+ matrix_type m_matrix;
+
+public :
+
+ inline ublas_transformer(
+ ct const& m_0_0, ct const& m_0_1, ct const& m_0_2,
+ ct const& m_1_0, ct const& m_1_1, ct const& m_1_2,
+ ct const& m_2_0, ct const& m_2_1, ct const& m_2_2)
+ : m_matrix(3, 3)
+ {
+ m_matrix(0,0) = m_0_0; m_matrix(0,1) = m_0_1; m_matrix(0,2) = m_0_2;
+ m_matrix(1,0) = m_1_0; m_matrix(1,1) = m_1_1; m_matrix(1,2) = m_1_2;
+ m_matrix(2,0) = m_2_0; m_matrix(2,1) = m_2_1; m_matrix(2,2) = m_2_2;
+ }
+
+ inline ublas_transformer(matrix_type const& matrix)
+ : m_matrix(matrix)
+ {}
+
+
+ inline ublas_transformer() : m_matrix(3, 3) {}
+
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ assert_dimension_greater_equal<P1, 2>();
+ assert_dimension_greater_equal<P2, 2>();
+
+ coordinate_type const& c1 = get<0>(p1);
+ coordinate_type const& c2 = get<1>(p1);
+
+
+ coordinate_type p2x = c1 * m_matrix(0,0) + c2 * m_matrix(0,1) + m_matrix(0,2);
+ coordinate_type p2y = c1 * m_matrix(1,0) + c2 * m_matrix(1,1) + m_matrix(1,2);
+
+ typedef typename geometry::coordinate_type<P2>::type ct2;
+ set<0>(p2, boost::numeric_cast<ct2>(p2x));
+ set<1>(p2, boost::numeric_cast<ct2>(p2y));
+
+ return true;
+ }
+
+ matrix_type const& matrix() const { return m_matrix; }
+};
+
+
+// It IS possible to go from 3 to 2 coordinates
+template <typename P1, typename P2>
+class ublas_transformer<P1, P2, 3, 2> : public ublas_transformer<P1, P2, 2, 2>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+ typedef coordinate_type ct; // Abbreviation
+
+public :
+ inline ublas_transformer(
+ ct const& m_0_0, ct const& m_0_1, ct const& m_0_2,
+ ct const& m_1_0, ct const& m_1_1, ct const& m_1_2,
+ ct const& m_2_0, ct const& m_2_1, ct const& m_2_2)
+ : ublas_transformer<P1, P2, 2, 2>(
+ m_0_0, m_0_1, m_0_2,
+ m_1_0, m_1_1, m_1_2,
+ m_2_0, m_2_1, m_2_2)
+ {}
+
+ inline ublas_transformer()
+ : ublas_transformer<P1, P2, 2, 2>()
+ {}
+};
+
+
+template <typename P1, typename P2>
+class ublas_transformer<P1, P2, 3, 3>
+{
+protected :
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+ typedef coordinate_type ct; // Abbreviation
+ typedef boost::numeric::ublas::matrix<coordinate_type> matrix_type;
+ matrix_type m_matrix;
+
+ inline ublas_transformer(
+ ct const& m_0_0, ct const& m_0_1, ct const& m_0_2, ct const& m_0_3,
+ ct const& m_1_0, ct const& m_1_1, ct const& m_1_2, ct const& m_1_3,
+ ct const& m_2_0, ct const& m_2_1, ct const& m_2_2, ct const& m_2_3,
+ ct const& m_3_0, ct const& m_3_1, ct const& m_3_2, ct const& m_3_3
+ )
+ : m_matrix(4, 4)
+ {
+ m_matrix(0,0) = m_0_0; m_matrix(0,1) = m_0_1; m_matrix(0,2) = m_0_2; m_matrix(0,3) = m_0_3;
+ m_matrix(1,0) = m_1_0; m_matrix(1,1) = m_1_1; m_matrix(1,2) = m_1_2; m_matrix(1,3) = m_1_3;
+ m_matrix(2,0) = m_2_0; m_matrix(2,1) = m_2_1; m_matrix(2,2) = m_2_2; m_matrix(2,3) = m_2_3;
+ m_matrix(3,0) = m_3_0; m_matrix(3,1) = m_3_1; m_matrix(3,2) = m_3_2; m_matrix(3,3) = m_3_3;
+ }
+
+ inline ublas_transformer() : m_matrix(4, 4) {}
+
+public :
+
+ inline bool apply(P1 const& p1, P2& p2) const
+ {
+ coordinate_type const& c1 = get<0>(p1);
+ coordinate_type const& c2 = get<1>(p1);
+ coordinate_type const& c3 = get<2>(p1);
+
+ typedef typename geometry::coordinate_type<P2>::type ct2;
+
+ set<0>(p2, boost::numeric_cast<ct2>(
+ c1 * m_matrix(0,0) + c2 * m_matrix(0,1) + c3 * m_matrix(0,2) + m_matrix(0,3)));
+ set<1>(p2, boost::numeric_cast<ct2>(
+ c1 * m_matrix(1,0) + c2 * m_matrix(1,1) + c3 * m_matrix(1,2) + m_matrix(1,3)));
+ set<2>(p2, boost::numeric_cast<ct2>(
+ c1 * m_matrix(2,0) + c2 * m_matrix(2,1) + c3 * m_matrix(2,2) + m_matrix(2,3)));
+
+ return true;
+ }
+
+ matrix_type const& matrix() const { return m_matrix; }
+};
+
+
+/*!
+\brief Strategy of translate transformation in Cartesian system.
+\details Translate moves a geometry a fixed distance in 2 or 3 dimensions.
+\see http://en.wikipedia.org/wiki/Translation_%28geometry%29
+\ingroup strategies
+\tparam P1 first point type
+\tparam P2 second point type
+\tparam Dimension1 number of dimensions to transform from first point
+\tparam Dimension1 number of dimensions to transform to second point
+ */
+template
+<
+ typename P1, typename P2,
+ std::size_t Dimension1 = geometry::dimension<P1>::type::value,
+ std::size_t Dimension2 = geometry::dimension<P2>::type::value
+>
+class translate_transformer
+{
+};
+
+
+template <typename P1, typename P2>
+class translate_transformer<P1, P2, 2, 2> : public ublas_transformer<P1, P2, 2, 2>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+public :
+ // To have translate transformers compatible for 2/3 dimensions, the
+ // constructor takes an optional third argument doing nothing.
+ inline translate_transformer(coordinate_type const& translate_x,
+ coordinate_type const& translate_y,
+ coordinate_type const& = 0)
+ : ublas_transformer<P1, P2, 2, 2>(
+ 1, 0, translate_x,
+ 0, 1, translate_y,
+ 0, 0, 1)
+ {}
+};
+
+
+template <typename P1, typename P2>
+class translate_transformer<P1, P2, 3, 3> : public ublas_transformer<P1, P2, 3, 3>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+public :
+ inline translate_transformer(coordinate_type const& translate_x,
+ coordinate_type const& translate_y,
+ coordinate_type const& translate_z)
+ : ublas_transformer<P1, P2, 3, 3>(
+ 1, 0, 0, translate_x,
+ 0, 1, 0, translate_y,
+ 0, 0, 1, translate_z,
+ 0, 0, 0, 1)
+ {}
+
+};
+
+
+/*!
+\brief Strategy of scale transformation in Cartesian system.
+\details Scale scales a geometry up or down in all its dimensions.
+\see http://en.wikipedia.org/wiki/Scaling_%28geometry%29
+\ingroup strategies
+\tparam P1 first point type
+\tparam P2 second point type
+\tparam Dimension1 number of dimensions to transform from first point
+\tparam Dimension1 number of dimensions to transform to second point
+*/
+template
+<
+ typename P1, typename P2 = P1,
+ std::size_t Dimension1 = geometry::dimension<P1>::type::value,
+ std::size_t Dimension2 = geometry::dimension<P2>::type::value
+>
+class scale_transformer
+{
+};
+
+
+template <typename P1, typename P2>
+class scale_transformer<P1, P2, 2, 2> : public ublas_transformer<P1, P2, 2, 2>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+public :
+ inline scale_transformer(coordinate_type const& scale_x,
+ coordinate_type const& scale_y,
+ coordinate_type const& = 0)
+ : ublas_transformer<P1, P2, 2, 2>(
+ scale_x, 0, 0,
+ 0, scale_y, 0,
+ 0, 0, 1)
+ {}
+
+
+ inline scale_transformer(coordinate_type const& scale)
+ : ublas_transformer<P1, P2, 2, 2>(
+ scale, 0, 0,
+ 0, scale, 0,
+ 0, 0, 1)
+ {}
+};
+
+
+template <typename P1, typename P2>
+class scale_transformer<P1, P2, 3, 3> : public ublas_transformer<P1, P2, 3, 3>
+{
+ typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
+
+ inline scale_transformer(coordinate_type const& scale_x,
+ coordinate_type const& scale_y,
+ coordinate_type const& scale_z)
+ : ublas_transformer<P1, P2, 3, 3>(
+ scale_x, 0, 0, 0,
+ 0, scale_y, 0, 0,
+ 0, 0, scale_z, 0,
+ 0, 0, 0, 1)
+ {}
+
+
+ inline scale_transformer(coordinate_type const& scale)
+ : ublas_transformer<P1, P2, 3, 3>(
+ scale, 0, 0, 0,
+ 0, scale, 0, 0,
+ 0, 0, scale, 0,
+ 0, 0, 0, 1)
+ {}
+};
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template <typename DegreeOrRadian>
+struct as_radian
+{};
+
+
+template <>
+struct as_radian<radian>
+{
+ template <typename T>
+ static inline T get(T const& value)
+ {
+ return value;
+ }
+};
+
+template <>
+struct as_radian<degree>
+{
+ template <typename T>
+ static inline T get(T const& value)
+ {
+ return value * math::d2r;
+ }
+
+};
+
+
+template
+<
+ typename P1, typename P2,
+ std::size_t Dimension1 = geometry::dimension<P1>::type::value,
+ std::size_t Dimension2 = geometry::dimension<P2>::type::value
+>
+class rad_rotate_transformer
+ : public ublas_transformer<P1, P2, Dimension1, Dimension2>
+{
+ // Angle has type of coordinate type, but at least a double
+ typedef typename select_most_precise
+ <
+ typename select_coordinate_type<P1, P2>::type,
+ double
+ >::type angle_type;
+
+public :
+ inline rad_rotate_transformer(angle_type const& angle)
+ : ublas_transformer<P1, P2, Dimension1, Dimension2>(
+ cos(angle), sin(angle), 0,
+ -sin(angle), cos(angle), 0,
+ 0, 0, 1)
+ {}
+};
+
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Strategy of rotate transformation in Cartesian system.
+\details Rotate rotates a geometry of specified angle about a fixed point (e.g. origin).
+\see http://en.wikipedia.org/wiki/Rotation_%28mathematics%29
+\ingroup strategies
+\tparam P1 first point type
+\tparam P2 second point type
+\tparam DegreeOrRadian degree/or/radian, type of rotation angle specification
+\note A single angle is needed to specify a rotation in 2D.
+ Not yet in 3D, the 3D version requires special things to allow
+ for rotation around X, Y, Z or arbitrary axis.
+\todo The 3D version will not compile.
+ */
+template <typename P1, typename P2, typename DegreeOrRadian>
+class rotate_transformer : public detail::rad_rotate_transformer<P1, P2>
+{
+ // Angle has type of coordinate type, but at least a double
+ typedef typename select_most_precise
+ <
+ typename select_coordinate_type<P1, P2>::type,
+ double
+ >::type angle_type;
+
+public :
+ inline rotate_transformer(angle_type const& angle)
+ : detail::rad_rotate_transformer
+ <
+ P1, P2
+ >(detail::as_radian<DegreeOrRadian>::get(angle))
+ {}
+};
+
+
+}} // namespace strategy::transform
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_TRANSFORM_MATRIX_TRANSFORMERS_HPP
diff --git a/boost/geometry/strategies/within.hpp b/boost/geometry/strategies/within.hpp
new file mode 100644
index 0000000000..0852a22d2d
--- /dev/null
+++ b/boost/geometry/strategies/within.hpp
@@ -0,0 +1,71 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_STRATEGIES_WITHIN_HPP
+#define BOOST_GEOMETRY_STRATEGIES_WITHIN_HPP
+
+#include <boost/mpl/assert.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace within
+{
+
+
+namespace services
+{
+
+/*!
+\brief Traits class binding a within determination strategy to a coordinate system
+\ingroup within
+\tparam TagContained tag (possibly casted) of point-type
+\tparam TagContained tag (possibly casted) of (possibly) containing type
+\tparam CsTagContained tag of coordinate system of point-type
+\tparam CsTagContaining tag of coordinate system of (possibly) containing type
+\tparam Geometry geometry-type of input (often point, or box)
+\tparam GeometryContaining geometry-type of input (possibly) containing type
+*/
+template
+<
+ typename TagContained,
+ typename TagContaining,
+ typename CastedTagContained,
+ typename CastedTagContaining,
+ typename CsTagContained,
+ typename CsTagContaining,
+ typename GeometryContained,
+ typename GeometryContaining
+>
+struct default_strategy
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_TYPES
+ , (types<GeometryContained, GeometryContaining>)
+ );
+};
+
+
+} // namespace services
+
+
+}} // namespace strategy::within
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_WITHIN_HPP
+
diff --git a/boost/geometry/util/add_const_if_c.hpp b/boost/geometry/util/add_const_if_c.hpp
new file mode 100644
index 0000000000..9e0c01299c
--- /dev/null
+++ b/boost/geometry/util/add_const_if_c.hpp
@@ -0,0 +1,56 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_ADD_CONST_IF_C_HPP
+#define BOOST_GEOMETRY_UTIL_ADD_CONST_IF_C_HPP
+
+
+#include <boost/mpl/if.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+ \brief Meta-function to define a const or non const type
+ \ingroup utility
+ \details If the boolean template parameter is true, the type parameter
+ will be defined as const, otherwise it will be defined as it was.
+ This meta-function is used to have one implementation for both
+ const and non const references
+ \note This traits class is completely independant from Boost.Geometry
+ and might be a separate addition to Boost
+ \note Used in a.o. for_each, interior_rings, exterior_ring
+ \par Example
+ \code
+ void foo(typename add_const_if_c<IsConst, Point>::type& point)
+ \endcode
+*/
+template <bool IsConst, typename Type>
+struct add_const_if_c
+{
+ typedef typename boost::mpl::if_c
+ <
+ IsConst,
+ Type const,
+ Type
+ >::type type;
+};
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_ADD_CONST_IF_C_HPP
diff --git a/boost/geometry/util/calculation_type.hpp b/boost/geometry/util/calculation_type.hpp
new file mode 100644
index 0000000000..aef58909e7
--- /dev/null
+++ b/boost/geometry/util/calculation_type.hpp
@@ -0,0 +1,176 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_CALCULATION_TYPE_HPP
+#define BOOST_GEOMETRY_UTIL_CALCULATION_TYPE_HPP
+
+#include <boost/config.hpp>
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace util
+{
+
+namespace detail
+{
+
+struct default_integral
+{
+#ifdef BOOST_HAS_LONG_LONG
+ typedef boost::long_long_type type;
+#else
+ typedef int type;
+#endif
+};
+
+/*!
+\details Selects the most appropriate:
+ - if calculation type is specified (not void), that one is used
+ - else if type is non-fundamental (user defined e.g. ttmath), that one
+ - else if type is floating point, the specified default FP is used
+ - else it is integral and the specified default integral is used
+ */
+template
+<
+ typename Type,
+ typename CalculationType,
+ typename DefaultFloatingPointCalculationType,
+ typename DefaultIntegralCalculationType
+>
+struct calculation_type
+{
+ BOOST_STATIC_ASSERT((
+ boost::is_fundamental
+ <
+ DefaultFloatingPointCalculationType
+ >::type::value
+ ));
+ BOOST_STATIC_ASSERT((
+ boost::is_fundamental
+ <
+ DefaultIntegralCalculationType
+ >::type::value
+ ));
+
+
+ typedef typename boost::mpl::if_
+ <
+ boost::is_void<CalculationType>,
+ typename boost::mpl::if_
+ <
+ boost::is_floating_point<Type>,
+ typename select_most_precise
+ <
+ DefaultFloatingPointCalculationType,
+ Type
+ >::type,
+ typename select_most_precise
+ <
+ DefaultIntegralCalculationType,
+ Type
+ >::type
+ >::type,
+ CalculationType
+ >::type type;
+};
+
+} // namespace detail
+
+
+namespace calculation_type
+{
+
+namespace geometric
+{
+
+template
+<
+ typename Geometry,
+ typename CalculationType,
+ typename DefaultFloatingPointCalculationType = double,
+ typename DefaultIntegralCalculationType = detail::default_integral::type
+>
+struct unary
+{
+ typedef typename detail::calculation_type
+ <
+ typename geometry::coordinate_type<Geometry>::type,
+ CalculationType,
+ DefaultFloatingPointCalculationType,
+ DefaultIntegralCalculationType
+ >::type type;
+};
+
+template
+<
+ typename Geometry1,
+ typename Geometry2,
+ typename CalculationType,
+ typename DefaultFloatingPointCalculationType = double,
+ typename DefaultIntegralCalculationType = detail::default_integral::type
+>
+struct binary
+{
+ typedef typename detail::calculation_type
+ <
+ typename select_coordinate_type<Geometry1, Geometry2>::type,
+ CalculationType,
+ DefaultFloatingPointCalculationType,
+ DefaultIntegralCalculationType
+ >::type type;
+};
+
+
+/*!
+\brief calculation type (ternary, for three geometry types)
+ */
+template
+<
+ typename Geometry1,
+ typename Geometry2,
+ typename Geometry3,
+ typename CalculationType,
+ typename DefaultFloatingPointCalculationType = double,
+ typename DefaultIntegralCalculationType = detail::default_integral::type
+>
+struct ternary
+{
+ typedef typename detail::calculation_type
+ <
+ typename select_most_precise
+ <
+ typename coordinate_type<Geometry1>::type,
+ typename select_coordinate_type
+ <
+ Geometry2,
+ Geometry3
+ >::type
+ >::type,
+ CalculationType,
+ DefaultFloatingPointCalculationType,
+ DefaultIntegralCalculationType
+ >::type type;
+};
+
+}} // namespace calculation_type::geometric
+
+} // namespace util
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_CALCULATION_TYPE_HPP
diff --git a/boost/geometry/util/closure_as_bool.hpp b/boost/geometry/util/closure_as_bool.hpp
new file mode 100644
index 0000000000..57fcd52800
--- /dev/null
+++ b/boost/geometry/util/closure_as_bool.hpp
@@ -0,0 +1,46 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_CLOSURE_AS_BOOL_HPP
+#define BOOST_GEOMETRY_UTIL_CLOSURE_AS_BOOL_HPP
+
+#include <boost/geometry/core/closure.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+template<closure_selector Closure>
+struct closure_as_bool
+{};
+
+
+template<>
+struct closure_as_bool<closed>
+{
+ static const bool value = true;
+};
+
+
+template<>
+struct closure_as_bool<open>
+{
+ static const bool value = false;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_CLOSURE_AS_BOOL_HPP
diff --git a/boost/geometry/util/coordinate_cast.hpp b/boost/geometry/util/coordinate_cast.hpp
new file mode 100644
index 0000000000..16a15cca5b
--- /dev/null
+++ b/boost/geometry/util/coordinate_cast.hpp
@@ -0,0 +1,55 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_COORDINATE_CAST_HPP
+#define BOOST_GEOMETRY_UTIL_COORDINATE_CAST_HPP
+
+#include <cstdlib>
+#include <string>
+#include <boost/lexical_cast.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+/*!
+\brief cast coordinates from a string to a coordinate type
+\detail By default it uses lexical_cast. However, lexical_cast seems not to support
+ ttmath / partial specializations. Therefore this small utility is added.
+ See also "define_pi" where the same issue is solved
+*/
+template <typename CoordinateType>
+struct coordinate_cast
+{
+ static inline CoordinateType apply(std::string const& source)
+ {
+#if defined(BOOST_GEOMETRY_NO_LEXICAL_CAST)
+ return atof(source.c_str());
+#else
+ return boost::lexical_cast<CoordinateType>(source);
+#endif
+ }
+};
+
+
+} // namespace detail
+#endif
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_UTIL_COORDINATE_CAST_HPP
diff --git a/boost/geometry/util/for_each_coordinate.hpp b/boost/geometry/util/for_each_coordinate.hpp
new file mode 100644
index 0000000000..7a1f55b00b
--- /dev/null
+++ b/boost/geometry/util/for_each_coordinate.hpp
@@ -0,0 +1,94 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_FOR_EACH_COORDINATE_HPP
+#define BOOST_GEOMETRY_UTIL_FOR_EACH_COORDINATE_HPP
+
+#include <boost/concept/requires.hpp>
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/util/add_const_if_c.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Point, int Dimension, int DimensionCount, bool IsConst>
+struct coordinates_scanner
+{
+ template <typename Op>
+ static inline Op apply(typename add_const_if_c
+ <
+ IsConst,
+ Point
+ >::type& point, Op operation)
+ {
+ operation.template apply<Point, Dimension>(point);
+ return coordinates_scanner
+ <
+ Point,
+ Dimension+1,
+ DimensionCount,
+ IsConst
+ >::apply(point, operation);
+ }
+};
+
+template <typename Point, int DimensionCount, bool IsConst>
+struct coordinates_scanner<Point, DimensionCount, DimensionCount, IsConst>
+{
+ template <typename Op>
+ static inline Op apply(typename add_const_if_c
+ <
+ IsConst,
+ Point
+ >::type& , Op operation)
+ {
+ return operation;
+ }
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+template <typename Point, typename Op>
+inline void for_each_coordinate(Point& point, Op operation)
+{
+ BOOST_CONCEPT_ASSERT( (concept::Point<Point>) );
+
+ typedef typename detail::coordinates_scanner
+ <
+ Point, 0, dimension<Point>::type::value, false
+ > scanner;
+
+ scanner::apply(point, operation);
+}
+
+template <typename Point, typename Op>
+inline Op for_each_coordinate(Point const& point, Op operation)
+{
+ BOOST_CONCEPT_ASSERT( (concept::ConstPoint<Point>) );
+
+ typedef typename detail::coordinates_scanner
+ <
+ Point, 0, dimension<Point>::type::value, true
+ > scanner;
+
+ return scanner::apply(point, operation);
+}
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_UTIL_FOR_EACH_COORDINATE_HPP
diff --git a/boost/geometry/util/math.hpp b/boost/geometry/util/math.hpp
new file mode 100644
index 0000000000..edfa961b15
--- /dev/null
+++ b/boost/geometry/util/math.hpp
@@ -0,0 +1,168 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_MATH_HPP
+#define BOOST_GEOMETRY_UTIL_MATH_HPP
+
+#include <cmath>
+#include <limits>
+
+#include <boost/math/constants/constants.hpp>
+
+#include <boost/geometry/util/select_most_precise.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace math
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+
+template <typename Type, bool IsFloatingPoint>
+struct equals
+{
+ static inline bool apply(Type const& a, Type const& b)
+ {
+ return a == b;
+ }
+};
+
+template <typename Type>
+struct equals<Type, true>
+{
+ static inline bool apply(Type const& a, Type const& b)
+ {
+ // See http://www.parashift.com/c++-faq-lite/newbie.html#faq-29.17,
+ // FUTURE: replace by some boost tool or boost::test::close_at_tolerance
+ return std::abs(a - b) <= std::numeric_limits<Type>::epsilon() * std::abs(a);
+ }
+};
+
+
+template <typename Type, bool IsFloatingPoint>
+struct equals_with_epsilon : public equals<Type, IsFloatingPoint> {};
+
+
+/*!
+\brief Short construct to enable partial specialization for PI, currently not possible in Math.
+*/
+template <typename T>
+struct define_pi
+{
+ static inline T apply()
+ {
+ // Default calls Boost.Math
+ return boost::math::constants::pi<T>();
+ }
+};
+
+
+} // namespace detail
+#endif
+
+
+template <typename T>
+inline T pi() { return detail::define_pi<T>::apply(); }
+
+
+// Maybe replace this by boost equals or boost ublas numeric equals or so
+
+/*!
+ \brief returns true if both arguments are equal.
+ \ingroup utility
+ \param a first argument
+ \param b second argument
+ \return true if a == b
+ \note If both a and b are of an integral type, comparison is done by ==.
+ If one of the types is floating point, comparison is done by abs and
+ comparing with epsilon. If one of the types is non-fundamental, it might
+ be a high-precision number and comparison is done using the == operator
+ of that class.
+*/
+
+template <typename T1, typename T2>
+inline bool equals(T1 const& a, T2 const& b)
+{
+ typedef typename select_most_precise<T1, T2>::type select_type;
+ return detail::equals
+ <
+ select_type,
+ boost::is_floating_point<select_type>::type::value
+ >::apply(a, b);
+}
+
+template <typename T1, typename T2>
+inline bool equals_with_epsilon(T1 const& a, T2 const& b)
+{
+ typedef typename select_most_precise<T1, T2>::type select_type;
+ return detail::equals_with_epsilon
+ <
+ select_type,
+ boost::is_floating_point<select_type>::type::value
+ >::apply(a, b);
+}
+
+
+
+double const d2r = geometry::math::pi<double>() / 180.0;
+double const r2d = 1.0 / d2r;
+
+/*!
+ \brief Calculates the haversine of an angle
+ \ingroup utility
+ \note See http://en.wikipedia.org/wiki/Haversine_formula
+ haversin(alpha) = sin2(alpha/2)
+*/
+template <typename T>
+inline T hav(T const& theta)
+{
+ T const half = T(0.5);
+ T const sn = sin(half * theta);
+ return sn * sn;
+}
+
+/*!
+\brief Short utility to return the square
+\ingroup utility
+\param value Value to calculate the square from
+\return The squared value
+*/
+template <typename T>
+inline T sqr(T const& value)
+{
+ return value * value;
+}
+
+
+/*!
+\brief Short utility to workaround gcc/clang problem that abs is converting to integer
+\ingroup utility
+*/
+template<typename T>
+inline T abs(const T& t)
+{
+ using std::abs;
+ return abs(t);
+}
+
+
+} // namespace math
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_UTIL_MATH_HPP
diff --git a/boost/geometry/util/order_as_direction.hpp b/boost/geometry/util/order_as_direction.hpp
new file mode 100644
index 0000000000..6895ebf3f1
--- /dev/null
+++ b/boost/geometry/util/order_as_direction.hpp
@@ -0,0 +1,46 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_ORDER_AS_DIRECTION_HPP
+#define BOOST_GEOMETRY_UTIL_ORDER_AS_DIRECTION_HPP
+
+#include <boost/geometry/core/point_order.hpp>
+#include <boost/geometry/views/reversible_view.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+template<order_selector Order>
+struct order_as_direction
+{};
+
+
+template<>
+struct order_as_direction<clockwise>
+{
+ static const iterate_direction value = iterate_forward;
+};
+
+
+template<>
+struct order_as_direction<counterclockwise>
+{
+ static const iterate_direction value = iterate_reverse;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_ORDER_AS_DIRECTION_HPP
diff --git a/boost/geometry/util/parameter_type_of.hpp b/boost/geometry/util/parameter_type_of.hpp
new file mode 100644
index 0000000000..b8872d52bf
--- /dev/null
+++ b/boost/geometry/util/parameter_type_of.hpp
@@ -0,0 +1,75 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_PARAMETER_TYPE_OF_HPP
+#define BOOST_GEOMETRY_UTIL_PARAMETER_TYPE_OF_HPP
+
+
+#include <boost/function_types/function_arity.hpp>
+#include <boost/function_types/is_member_function_pointer.hpp>
+#include <boost/function_types/parameter_types.hpp>
+#include <boost/mpl/at.hpp>
+#include <boost/mpl/int.hpp>
+#include <boost/mpl/plus.hpp>
+#include <boost/type_traits.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief Meta-function selecting a parameter type of a (member) function, by index
+\ingroup utility
+ */
+template <typename Method, std::size_t Index>
+struct parameter_type_of
+{
+ typedef typename boost::function_types::parameter_types
+ <
+ Method
+ >::type parameter_types;
+
+ typedef typename boost::mpl::if_
+ <
+ boost::function_types::is_member_function_pointer<Method>,
+ boost::mpl::int_<1>,
+ boost::mpl::int_<0>
+ >::type base_index_type;
+
+ typedef typename boost::mpl::if_c
+ <
+ Index == 0,
+ base_index_type,
+ typename boost::mpl::plus
+ <
+ base_index_type,
+ boost::mpl::int_<Index>
+ >::type
+ >::type indexed_type;
+
+ typedef typename boost::remove_reference
+ <
+ typename boost::mpl::at
+ <
+ parameter_types,
+ indexed_type
+ >::type
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_PARAMETER_TYPE_OF_HPP
diff --git a/boost/geometry/util/promote_floating_point.hpp b/boost/geometry/util/promote_floating_point.hpp
new file mode 100644
index 0000000000..0c74cb8d6c
--- /dev/null
+++ b/boost/geometry/util/promote_floating_point.hpp
@@ -0,0 +1,50 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_PROMOTE_FLOATING_POINT_HPP
+#define BOOST_GEOMETRY_UTIL_PROMOTE_FLOATING_POINT_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+ \brief Meta-function converting, if necessary, to "a floating point" type
+ \details
+ - if input type is integer, type is double
+ - else type is input type
+ \ingroup utility
+ */
+
+template <typename T, typename PromoteIntegerTo = double>
+struct promote_floating_point
+{
+ typedef typename
+ boost::mpl::if_
+ <
+ boost::is_integral<T>,
+ PromoteIntegerTo,
+ T
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_PROMOTE_FLOATING_POINT_HPP
diff --git a/boost/geometry/util/rational.hpp b/boost/geometry/util/rational.hpp
new file mode 100644
index 0000000000..45bee20460
--- /dev/null
+++ b/boost/geometry/util/rational.hpp
@@ -0,0 +1,179 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2011-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2011-2012 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_UTIL_RATIONAL_HPP
+#define BOOST_GEOMETRY_UTIL_RATIONAL_HPP
+
+#include <boost/rational.hpp>
+#include <boost/numeric/conversion/bounds.hpp>
+
+#include <boost/geometry/util/coordinate_cast.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost{ namespace geometry
+{
+
+
+// Specialize for Boost.Geometry's coordinate cast
+// (from string to coordinate type)
+namespace detail
+{
+
+template <typename T>
+struct coordinate_cast<rational<T> >
+{
+ static inline void split_parts(std::string const& source, std::string::size_type p,
+ T& before, T& after, bool& negate, std::string::size_type& len)
+ {
+ std::string before_part = source.substr(0, p);
+ std::string const after_part = source.substr(p + 1);
+
+ negate = false;
+
+ if (before_part.size() > 0 && before_part[0] == '-')
+ {
+ negate = true;
+ before_part.erase(0, 1);
+ }
+ before = atol(before_part.c_str());
+ after = atol(after_part.c_str());
+ len = after_part.length();
+ }
+
+
+ static inline rational<T> apply(std::string const& source)
+ {
+ T before, after;
+ bool negate;
+ std::string::size_type len;
+
+ // Note: decimal comma is not (yet) supported, it does (and should) not
+ // occur in a WKT, where points are comma separated.
+ std::string::size_type p = source.find(".");
+ if (p == std::string::npos)
+ {
+ p = source.find("/");
+ if (p == std::string::npos)
+ {
+ return rational<T>(atol(source.c_str()));
+ }
+ split_parts(source, p, before, after, negate, len);
+
+ return negate
+ ? -rational<T>(before, after)
+ : rational<T>(before, after)
+ ;
+
+ }
+
+ split_parts(source, p, before, after, negate, len);
+
+ T den = 1;
+ for (std::string::size_type i = 0; i < len; i++)
+ {
+ den *= 10;
+ }
+
+ return negate
+ ? -rational<T>(before) - rational<T>(after, den)
+ : rational<T>(before) + rational<T>(after, den)
+ ;
+ }
+};
+
+} // namespace detail
+
+// Specialize for Boost.Geometry's select_most_precise
+template <typename T1, typename T2>
+struct select_most_precise<boost::rational<T1>, boost::rational<T2> >
+{
+ typedef typename boost::rational
+ <
+ typename select_most_precise<T1, T2>::type
+ > type;
+};
+
+template <typename T>
+struct select_most_precise<boost::rational<T>, double>
+{
+ typedef typename boost::rational<T> type;
+};
+
+
+}} // namespace boost::geometry
+
+
+// Specializes boost::rational to boost::numeric::bounds
+namespace boost { namespace numeric
+{
+
+template<class T>
+struct bounds<rational<T> >
+{
+ static inline rational<T> lowest()
+ {
+ return rational<T>(bounds<T>::lowest(), 1);
+ }
+ static inline rational<T> highest()
+ {
+ return rational<T>(bounds<T>::highest(), 1);
+ }
+};
+
+}} // namespace boost::numeric
+
+
+// Support for boost::numeric_cast to int and to double (necessary for SVG-mapper)
+namespace boost { namespace numeric
+{
+
+template
+<
+ typename T,
+ typename Traits,
+ typename OverflowHandler,
+ typename Float2IntRounder,
+ typename RawConverter,
+ typename UserRangeChecker
+>
+struct converter<int, rational<T>, Traits, OverflowHandler, Float2IntRounder, RawConverter, UserRangeChecker>
+{
+ static inline int convert(rational<T> const& arg)
+ {
+ return int(rational_cast<double>(arg));
+ }
+};
+
+template
+<
+ typename T,
+ typename Traits,
+ typename OverflowHandler,
+ typename Float2IntRounder,
+ typename RawConverter,
+ typename UserRangeChecker
+>
+struct converter<double, rational<T>, Traits, OverflowHandler, Float2IntRounder, RawConverter, UserRangeChecker>
+{
+ static inline double convert(rational<T> const& arg)
+ {
+ return rational_cast<double>(arg);
+ }
+};
+
+
+}}
+
+
+#endif // BOOST_GEOMETRY_UTIL_RATIONAL_HPP
diff --git a/boost/geometry/util/readme.txt b/boost/geometry/util/readme.txt
new file mode 100644
index 0000000000..7a1bf88beb
--- /dev/null
+++ b/boost/geometry/util/readme.txt
@@ -0,0 +1,17 @@
+// 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)
+
+This folder contains several headerfiles not fitting in one of the other folders,
+or meta-functions which would fit into boost as a separate trait or utility,
+such as add_const_if_c
+
diff --git a/boost/geometry/util/select_calculation_type.hpp b/boost/geometry/util/select_calculation_type.hpp
new file mode 100644
index 0000000000..4946c45e84
--- /dev/null
+++ b/boost/geometry/util/select_calculation_type.hpp
@@ -0,0 +1,57 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_SELECT_CALCULATION_TYPE_HPP
+#define BOOST_GEOMETRY_UTIL_SELECT_CALCULATION_TYPE_HPP
+
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/util/select_coordinate_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+ \brief Meta-function selecting the "calculation" type
+ \details Based on two input geometry types, and an input calculation type,
+ (which defaults to void in the calling function), this meta-function
+ selects the most appropriate:
+ - if calculation type is specified, that one is used,
+ - if it is void, the most precise of the two points is used
+ \ingroup utility
+ */
+template <typename Geometry1, typename Geometry2, typename CalculationType>
+struct select_calculation_type
+{
+ typedef typename
+ boost::mpl::if_
+ <
+ boost::is_void<CalculationType>,
+ typename select_coordinate_type
+ <
+ Geometry1,
+ Geometry2
+ >::type,
+ CalculationType
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_SELECT_CALCULATION_TYPE_HPP
diff --git a/boost/geometry/util/select_coordinate_type.hpp b/boost/geometry/util/select_coordinate_type.hpp
new file mode 100644
index 0000000000..8309da42b7
--- /dev/null
+++ b/boost/geometry/util/select_coordinate_type.hpp
@@ -0,0 +1,45 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_SELECT_COORDINATE_TYPE_HPP
+#define BOOST_GEOMETRY_UTIL_SELECT_COORDINATE_TYPE_HPP
+
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+ \brief Meta-function selecting the most precise coordinate type
+ of two geometries
+ \ingroup utility
+ */
+template <typename T1, typename T2>
+struct select_coordinate_type
+{
+ typedef typename select_most_precise
+ <
+ typename coordinate_type<T1>::type,
+ typename coordinate_type<T2>::type
+ >::type type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_UTIL_SELECT_COORDINATE_TYPE_HPP
diff --git a/boost/geometry/util/select_most_precise.hpp b/boost/geometry/util/select_most_precise.hpp
new file mode 100644
index 0000000000..d55fdbfd98
--- /dev/null
+++ b/boost/geometry/util/select_most_precise.hpp
@@ -0,0 +1,162 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_UTIL_SELECT_MOST_PRECISE_HPP
+#define BOOST_GEOMETRY_UTIL_SELECT_MOST_PRECISE_HPP
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+
+namespace detail { namespace select_most_precise
+{
+
+
+// At least one of the types is non-fundamental. Take that one.
+// if both are non-fundamental, the type-to-be-selected
+// is unknown, it should be defined by explicit specialization.
+template <bool Fundamental1, bool Fundamental2, typename T1, typename T2>
+struct select_non_fundamental
+{
+ typedef T1 type;
+};
+
+template <typename T1, typename T2>
+struct select_non_fundamental<true, false, T1, T2>
+{
+ typedef T2 type;
+};
+
+template <typename T1, typename T2>
+struct select_non_fundamental<false, true, T1, T2>
+{
+ typedef T1 type;
+};
+
+
+// Selection of largest type (e.g. int of <short int,int>
+// It defaults takes the first one, if second is larger, take the second one
+template <bool SecondLarger, typename T1, typename T2>
+struct select_largest
+{
+ typedef T1 type;
+};
+
+template <typename T1, typename T2>
+struct select_largest<true, T1, T2>
+{
+ typedef T2 type;
+};
+
+
+
+// Selection of floating point and specializations:
+// both FP or both !FP does never occur...
+template <bool FP1, bool FP2, typename T1, typename T2>
+struct select_floating_point
+{
+ typedef char type;
+};
+
+
+// ... so if ONE but not both of these types is floating point, take that one
+template <typename T1, typename T2>
+struct select_floating_point<true, false, T1, T2>
+{
+ typedef T1 type;
+};
+
+
+template <typename T1, typename T2>
+struct select_floating_point<false, true, T1, T2>
+{
+ typedef T2 type;
+};
+
+
+}} // namespace detail::select_most_precise
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+ \brief Meta-function to select, of two types, the most accurate type for
+ calculations
+ \ingroup utility
+ \details select_most_precise classes, compares two types on compile time.
+ For example, if an addition must be done with a double and an integer, the
+ result must be a double.
+ If both types are integer, the result can be an integer.
+ \note It is different from the "promote" class, already in boost. That
+ class promotes e.g. a (one) float to a double. This class selects a
+ type from two types. It takes the most accurate, but does not promote
+ afterwards.
+ \note This traits class is completely independant from GGL and might be a
+ separate addition to Boost
+ \note If the input is a non-fundamental type, it might be a calculation
+ type such as a GMP-value or another high precision value. Therefore,
+ if one is non-fundamental, that one is chosen.
+ \note If both types are non-fundamental, the result is indeterminate and
+ currently the first one is chosen.
+*/
+template <typename T1, typename T2>
+struct select_most_precise
+{
+ static const bool second_larger = sizeof(T2) > sizeof(T1);
+ static const bool one_not_fundamental = !
+ (boost::is_fundamental<T1>::type::value
+ && boost::is_fundamental<T2>::type::value);
+
+ static const bool both_same =
+ boost::is_floating_point<T1>::type::value
+ == boost::is_floating_point<T2>::type::value;
+
+ typedef typename boost::mpl::if_c
+ <
+ one_not_fundamental,
+ typename detail::select_most_precise::select_non_fundamental
+ <
+ boost::is_fundamental<T1>::type::value,
+ boost::is_fundamental<T2>::type::value,
+ T1,
+ T2
+ >::type,
+ typename boost::mpl::if_c
+ <
+ both_same,
+ typename detail::select_most_precise::select_largest
+ <
+ second_larger,
+ T1,
+ T2
+ >::type,
+ typename detail::select_most_precise::select_floating_point
+ <
+ boost::is_floating_point<T1>::type::value,
+ boost::is_floating_point<T2>::type::value,
+ T1,
+ T2
+ >::type
+ >::type
+ >::type type;
+};
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_UTIL_SELECT_MOST_PRECISE_HPP
diff --git a/boost/geometry/views/box_view.hpp b/boost/geometry/views/box_view.hpp
new file mode 100644
index 0000000000..26608b0860
--- /dev/null
+++ b/boost/geometry/views/box_view.hpp
@@ -0,0 +1,114 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_BOX_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_BOX_VIEW_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/views/detail/points_view.hpp>
+#include <boost/geometry/algorithms/assign.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief Makes a box behave like a ring or a range
+\details Adapts a box to the Boost.Range concept, enabling the user to iterating
+ box corners. The box_view is registered as a Ring Concept
+\tparam Box \tparam_geometry{Box}
+\tparam Clockwise If true, walks in clockwise direction, otherwise
+ it walks in counterclockwise direction
+\ingroup views
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_ring Ring Concept]
+}
+
+\qbk{[include reference/views/box_view.qbk]}
+*/
+template <typename Box, bool Clockwise = true>
+struct box_view
+ : public detail::points_view
+ <
+ typename geometry::point_type<Box>::type,
+ 5
+ >
+{
+ typedef typename geometry::point_type<Box>::type point_type;
+
+ /// Constructor accepting the box to adapt
+ explicit box_view(Box const& box)
+ : detail::points_view<point_type, 5>(copy_policy(box))
+ {}
+
+private :
+
+ class copy_policy
+ {
+ public :
+ inline copy_policy(Box const& box)
+ : m_box(box)
+ {}
+
+ inline void apply(point_type* points) const
+ {
+ detail::assign_box_corners_oriented<!Clockwise>(m_box, points);
+ points[4] = points[0];
+ }
+ private :
+ Box const& m_box;
+ };
+
+};
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+// All views on boxes are handled as rings
+namespace traits
+{
+
+template<typename Box, bool Clockwise>
+struct tag<box_view<Box, Clockwise> >
+{
+ typedef ring_tag type;
+};
+
+template<typename Box>
+struct point_order<box_view<Box, false> >
+{
+ static order_selector const value = counterclockwise;
+};
+
+
+template<typename Box>
+struct point_order<box_view<Box, true> >
+{
+ static order_selector const value = clockwise;
+};
+
+}
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_BOX_VIEW_HPP
diff --git a/boost/geometry/views/closeable_view.hpp b/boost/geometry/views/closeable_view.hpp
new file mode 100644
index 0000000000..376246d2dc
--- /dev/null
+++ b/boost/geometry/views/closeable_view.hpp
@@ -0,0 +1,100 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_CLOSEABLE_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_CLOSEABLE_VIEW_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/closure.hpp>
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+#include <boost/geometry/iterators/closing_iterator.hpp>
+
+#include <boost/geometry/views/identity_view.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+
+namespace detail
+{
+
+template <typename Range>
+struct closing_view
+{
+ // Keep this explicit, important for nested views/ranges
+ explicit inline closing_view(Range& r)
+ : m_range(r)
+ {}
+
+ typedef closing_iterator<Range> iterator;
+ typedef closing_iterator<Range const> const_iterator;
+
+ inline const_iterator begin() const { return const_iterator(m_range); }
+ inline const_iterator end() const { return const_iterator(m_range, true); }
+
+ inline iterator begin() { return iterator(m_range); }
+ inline iterator end() { return iterator(m_range, true); }
+private :
+ Range& m_range;
+};
+
+}
+
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief View on a range, either closing it or leaving it as it is
+\details The closeable_view is used internally by the library to handle all rings,
+ either closed or open, the same way. The default method is closed, all
+ algorithms process rings as if they are closed. Therefore, if they are opened,
+ a view is created which closes them.
+ The closeable_view might be used by library users, but its main purpose is
+ internally.
+\tparam Range Original range
+\tparam Close Specifies if it the range is closed, if so, nothing will happen.
+ If it is open, it will iterate the first point after the last point.
+\ingroup views
+*/
+template <typename Range, closure_selector Close>
+struct closeable_view {};
+
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+template <typename Range>
+struct closeable_view<Range, closed>
+{
+ typedef identity_view<Range> type;
+};
+
+
+template <typename Range>
+struct closeable_view<Range, open>
+{
+ typedef detail::closing_view<Range> type;
+};
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_CLOSEABLE_VIEW_HPP
diff --git a/boost/geometry/views/detail/points_view.hpp b/boost/geometry/views/detail/points_view.hpp
new file mode 100644
index 0000000000..91fbc41c19
--- /dev/null
+++ b/boost/geometry/views/detail/points_view.hpp
@@ -0,0 +1,141 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_DETAIL_POINTS_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_DETAIL_POINTS_VIEW_HPP
+
+
+#include <boost/range.hpp>
+#include <boost/iterator.hpp>
+#include <boost/iterator/iterator_facade.hpp>
+#include <boost/iterator/iterator_categories.hpp>
+
+#include <boost/geometry/core/exception.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace detail
+{
+
+// Adapts pointer, on points, to a Boost.Range
+template <typename Point, int MaxSize>
+class points_view
+{
+ // Iterates over a series of points (indicated by pointer
+ // to have it lightweight). Probably there is already an
+ // equivalent of this within Boost. If so, TODO: use that one.
+ // This used to be "box_iterator" and "segment_iterator".
+ struct points_iterator
+ : public boost::iterator_facade
+ <
+ points_iterator,
+ Point const,
+ boost::random_access_traversal_tag
+ >
+ {
+ // Constructor: Begin iterator
+ inline points_iterator(Point const* p)
+ : m_points(p)
+ , m_index(0)
+ {}
+
+ // Constructor: End iterator
+ inline points_iterator(Point const* p, bool)
+ : m_points(p)
+ , m_index(MaxSize)
+ {}
+
+ // Constructor: default (for Range Concept checking).
+ inline points_iterator()
+ : m_points(NULL)
+ , m_index(MaxSize)
+ {}
+
+ typedef std::ptrdiff_t difference_type;
+
+ private:
+ friend class boost::iterator_core_access;
+
+ inline Point const& dereference() const
+ {
+ if (m_index >= 0 && m_index < MaxSize)
+ {
+ return m_points[m_index];
+ }
+
+ // If it index larger (or smaller) return first point
+ // (assuming initialized)
+ return m_points[0];
+ }
+
+ inline bool equal(points_iterator const& other) const
+ {
+ return other.m_index == this->m_index;
+ }
+
+ inline void increment()
+ {
+ m_index++;
+ }
+
+ inline void decrement()
+ {
+ m_index--;
+ }
+
+ inline difference_type distance_to(points_iterator const& other) const
+ {
+ return other.m_index - this->m_index;
+ }
+
+ inline void advance(difference_type n)
+ {
+ m_index += n;
+ }
+
+ Point const* m_points;
+ int m_index;
+ };
+
+public :
+
+ typedef points_iterator const_iterator;
+ typedef points_iterator iterator; // must be defined
+
+ const_iterator begin() const { return const_iterator(m_points); }
+ const_iterator end() const { return const_iterator(m_points, true); }
+
+ // It may NOT be used non-const, so commented:
+ //iterator begin() { return m_begin; }
+ //iterator end() { return m_end; }
+
+protected :
+
+ template <typename CopyPolicy>
+ explicit points_view(CopyPolicy const& copy)
+ {
+ copy.apply(m_points);
+ }
+
+private :
+ // Copy points here - box might define them otherwise
+ Point m_points[MaxSize];
+};
+
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_DETAIL_POINTS_VIEW_HPP
diff --git a/boost/geometry/views/detail/range_type.hpp b/boost/geometry/views/detail/range_type.hpp
new file mode 100644
index 0000000000..a40670cf99
--- /dev/null
+++ b/boost/geometry/views/detail/range_type.hpp
@@ -0,0 +1,106 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_DETAIL_RANGE_TYPE_HPP
+#define BOOST_GEOMETRY_VIEWS_DETAIL_RANGE_TYPE_HPP
+
+
+#include <boost/mpl/assert.hpp>
+#include <boost/type_traits.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/views/box_view.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+#ifndef DOXYGEN_NO_DISPATCH
+namespace dispatch
+{
+
+
+template <typename GeometryTag, typename Geometry>
+struct range_type
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_OR_NOT_YET_IMPLEMENTED_FOR_THIS_GEOMETRY_TYPE
+ , (types<Geometry>)
+ );
+};
+
+
+template <typename Geometry>
+struct range_type<ring_tag, Geometry>
+{
+ typedef Geometry type;
+};
+
+template <typename Geometry>
+struct range_type<linestring_tag, Geometry>
+{
+ typedef Geometry type;
+};
+
+
+template <typename Geometry>
+struct range_type<polygon_tag, Geometry>
+{
+ typedef typename ring_type<Geometry>::type type;
+};
+
+template <typename Geometry>
+struct range_type<box_tag, Geometry>
+{
+ typedef box_view<Geometry> type;
+};
+
+
+} // namespace dispatch
+#endif // DOXYGEN_NO_DISPATCH
+
+// Will probably be replaced by the more generic "view_as", therefore in detail
+namespace detail
+{
+
+
+/*!
+\brief Meta-function defining a type which is a boost-range.
+\details
+- For linestrings and rings, it defines the type itself.
+- For polygons it defines the ring type.
+- For multi-points, it defines the type itself
+- For multi-polygons and multi-linestrings, it defines the single-version
+ (so in the end the linestring and ring-type-of-multi-polygon)
+\ingroup iterators
+*/
+template <typename Geometry>
+struct range_type
+{
+ typedef typename dispatch::range_type
+ <
+ typename tag<Geometry>::type,
+ Geometry
+ >::type type;
+};
+
+}
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_DETAIL_RANGE_TYPE_HPP
diff --git a/boost/geometry/views/identity_view.hpp b/boost/geometry/views/identity_view.hpp
new file mode 100644
index 0000000000..5ce6e8e6d6
--- /dev/null
+++ b/boost/geometry/views/identity_view.hpp
@@ -0,0 +1,53 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_IDENTITY_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_IDENTITY_VIEW_HPP
+
+
+#include <boost/range.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief View on a range, not modifying anything
+\tparam Range original range
+\ingroup views
+*/
+template <typename Range>
+struct identity_view
+{
+ typedef typename boost::range_iterator<Range const>::type const_iterator;
+ typedef typename boost::range_iterator<Range>::type iterator;
+
+ explicit inline identity_view(Range& r)
+ : m_range(r)
+ {}
+
+ inline const_iterator begin() const { return boost::begin(m_range); }
+ inline const_iterator end() const { return boost::end(m_range); }
+
+ inline iterator begin() { return boost::begin(m_range); }
+ inline iterator end() { return boost::end(m_range); }
+private :
+ Range& m_range;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_IDENTITY_VIEW_HPP
diff --git a/boost/geometry/views/reversible_view.hpp b/boost/geometry/views/reversible_view.hpp
new file mode 100644
index 0000000000..ad22136c81
--- /dev/null
+++ b/boost/geometry/views/reversible_view.hpp
@@ -0,0 +1,74 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_REVERSIBLE_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_REVERSIBLE_VIEW_HPP
+
+
+#include <boost/version.hpp>
+#include <boost/range.hpp>
+#include <boost/range/adaptor/reversed.hpp>
+
+#include <boost/geometry/core/ring_type.hpp>
+#include <boost/geometry/core/tag.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/views/identity_view.hpp>
+
+namespace boost { namespace geometry
+{
+
+/*!
+\brief Flag for iterating a reversible_view in forward or reverse direction
+\ingroup views
+*/
+enum iterate_direction { iterate_forward, iterate_reverse };
+
+/*!
+\brief View on a range, reversing direction if necessary
+\tparam Range original range
+\tparam Direction direction of iteration
+\ingroup views
+*/
+template <typename Range, iterate_direction Direction>
+struct reversible_view {};
+
+
+
+#ifndef DOXYGEN_NO_SPECIALIZATIONS
+
+template <typename Range>
+struct reversible_view<Range, iterate_forward>
+{
+ typedef identity_view<Range> type;
+};
+
+
+template <typename Range>
+struct reversible_view<Range, iterate_reverse>
+{
+#if BOOST_VERSION > 104500
+ typedef boost::reversed_range<Range> type;
+#else
+ // For older versions of Boost
+ typedef boost::range_detail::reverse_range<Range> type;
+#endif
+};
+
+#endif // DOXYGEN_NO_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_REVERSIBLE_VIEW_HPP
diff --git a/boost/geometry/views/segment_view.hpp b/boost/geometry/views/segment_view.hpp
new file mode 100644
index 0000000000..50ff617a8d
--- /dev/null
+++ b/boost/geometry/views/segment_view.hpp
@@ -0,0 +1,100 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+
+// 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_VIEWS_SEGMENT_VIEW_HPP
+#define BOOST_GEOMETRY_VIEWS_SEGMENT_VIEW_HPP
+
+
+#include <boost/range.hpp>
+
+#include <boost/geometry/core/point_type.hpp>
+#include <boost/geometry/views/detail/points_view.hpp>
+#include <boost/geometry/algorithms/assign.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+
+/*!
+\brief Makes a segment behave like a linestring or a range
+\details Adapts a segment to the Boost.Range concept, enabling the user to
+ iterate the two segment points. The segment_view is registered as a LineString Concept
+\tparam Segment \tparam_geometry{Segment}
+\ingroup views
+
+\qbk{before.synopsis,
+[heading Model of]
+[link geometry.reference.concepts.concept_linestring LineString Concept]
+}
+
+\qbk{[include reference/views/segment_view.qbk]}
+
+*/
+template <typename Segment>
+struct segment_view
+ : public detail::points_view
+ <
+ typename geometry::point_type<Segment>::type,
+ 2
+ >
+{
+ typedef typename geometry::point_type<Segment>::type point_type;
+
+ /// Constructor accepting the segment to adapt
+ explicit segment_view(Segment const& segment)
+ : detail::points_view<point_type, 2>(copy_policy(segment))
+ {}
+
+private :
+
+ class copy_policy
+ {
+ public :
+ inline copy_policy(Segment const& segment)
+ : m_segment(segment)
+ {}
+
+ inline void apply(point_type* points) const
+ {
+ geometry::detail::assign_point_from_index<0>(m_segment, points[0]);
+ geometry::detail::assign_point_from_index<1>(m_segment, points[1]);
+ }
+ private :
+ Segment const& m_segment;
+ };
+
+};
+
+
+#ifndef DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+// All segment ranges can be handled as linestrings
+namespace traits
+{
+
+template<typename Segment>
+struct tag<segment_view<Segment> >
+{
+ typedef linestring_tag type;
+};
+
+}
+
+#endif // DOXYGEN_NO_TRAITS_SPECIALIZATIONS
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_VIEWS_SEGMENT_VIEW_HPP