R*tree implementation based on boost::variant

[SVN r70531]

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include/boost/geometry/extensions/index/algorithms/area.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Boost.SpatialIndex - n-dimensional box's area/volume
+//
+// Copyright 2011 Adam Wulkiewicz.
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_AREA_HPP
+#define BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_AREA_HPP
+
+namespace boost { namespace geometry { namespace index {
+
+template <typename Box>
+struct area_result
+{
+    typedef typename select_most_precise<
+        typename coordinate_type<Box>::type,
+        long double
+    >::type type;
+};
+
+namespace detail {
+
+template <typename Box, size_t CurrentDimension>
+struct area_for_each_dimension
+{
+    BOOST_STATIC_ASSERT(0 < CurrentDimension);
+    BOOST_STATIC_ASSERT(CurrentDimension <= traits::dimension<Box>::value);
+
+    static inline typename area_result<Box>::type apply(Box const& b)
+    {
+        return area_for_each_dimension<Box, CurrentDimension - 1>::apply(b) *
+            ( geometry::get<max_corner, CurrentDimension - 1>(b) - geometry::get<min_corner, CurrentDimension - 1>(b) );
+    }
+};
+
+template <typename Box>
+struct area_for_each_dimension<Box, 1>
+{
+    static inline typename area_result<Box>::type apply(Box const& b)
+    {
+        return geometry::get<max_corner, 0>(b) - geometry::get<min_corner, 0>(b);
+    }
+};
+
+} // namespace detail
+
+template <typename Box>
+typename area_result<Box>::type area(Box const& b)
+{
+    return detail::area_for_each_dimension<Box, traits::dimension<Box>::value>::apply(b);
+}
+
+}}} // namespace boost::geometry::index
+
+#endif // BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_AREA_HPP

include/boost/geometry/extensions/index/algorithms/margin.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Boost.SpatialIndex - n-dimensional box's margin value, 2d perimeter, 3d surface, etc...
+//
+// Copyright 2011 Adam Wulkiewicz.
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_MARGIN_HPP
+#define BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_MARGIN_HPP
+
+namespace boost { namespace geometry { namespace index {
+
+template <typename Box>
+struct margin_result
+{
+    typedef typename select_most_precise<
+        typename coordinate_type<Box>::type,
+        long double
+    >::type type;
+};
+
+namespace detail {
+
+template <typename Box, size_t CurrentDimension, size_t EdgeDimension>
+struct margin_for_each_edge
+{
+    BOOST_STATIC_ASSERT(0 < CurrentDimension);
+    BOOST_STATIC_ASSERT(0 < EdgeDimension);
+
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return margin_for_each_edge<Box, CurrentDimension, EdgeDimension - 1>::apply(b) *
+            ( geometry::get<max_corner, EdgeDimension - 1>(b) - geometry::get<min_corner, EdgeDimension - 1>(b) );
+    }
+};
+
+template <typename Box, size_t CurrentDimension>
+struct margin_for_each_edge<Box, CurrentDimension, CurrentDimension>
+{
+    BOOST_STATIC_ASSERT(0 < CurrentDimension);
+
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return margin_for_each_edge<Box, CurrentDimension, CurrentDimension - 1>::apply(b);
+    }
+};
+
+template <typename Box, size_t CurrentDimension>
+struct margin_for_each_edge<Box, CurrentDimension, 1>
+{
+    BOOST_STATIC_ASSERT(0 < CurrentDimension);
+
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return geometry::get<max_corner, 0>(b) - geometry::get<min_corner, 0>(b);
+    }
+};
+
+template <typename Box>
+struct margin_for_each_edge<Box, 1, 1>
+{
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return 1;
+    }
+};
+
+template <typename Box, size_t CurrentDimension>
+struct margin_for_each_dimension
+{
+    BOOST_STATIC_ASSERT(0 < CurrentDimension);
+    BOOST_STATIC_ASSERT(CurrentDimension <= traits::dimension<Box>::value);
+
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return margin_for_each_dimension<Box, CurrentDimension - 1>::apply(b) +
+            2 * margin_for_each_edge<Box, CurrentDimension, traits::dimension<Box>::value>::apply(b);
+    }
+};
+
+template <typename Box>
+struct margin_for_each_dimension<Box, 1>
+{
+    static inline typename margin_result<Box>::type apply(Box const& b)
+    {
+        return 2 * margin_for_each_edge<Box, 1, traits::dimension<Box>::value>::apply(b);
+    }
+};
+
+} // namespace detail
+
+template <typename Box>
+typename margin_result<Box>::type margin(Box const& b)
+{
+    return detail::margin_for_each_dimension<Box, traits::dimension<Box>::value>::apply(b);
+}
+
+}}} // namespace boost::geometry::index
+
+#endif // BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_MARGIN_HPP

include/boost/geometry/extensions/index/algorithms/overlap.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Boost.SpatialIndex - n-dimensional area/volume of boxes intersecion/overlap
+//
+// Copyright 2011 Adam Wulkiewicz.
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_OVERLAP_HPP
+#define BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_OVERLAP_HPP
+
+#include <boost/geometry/algorithms/intersection.hpp>
+#include <boost/geometry/extensions/index/algorithms/area.hpp>
+
+namespace boost { namespace geometry { namespace index {
+
+template <typename Box>
+struct overlap_result
+{
+    typedef typename area_result<Box>::type type;
+};
+
+template <typename Box>
+typename overlap_result<Box>::type overlap(Box const& b1, Box const& b2)
+{
+    Box inters;
+    geometry::intersection(b1, b2, inters);
+    return index::area(inters);
+}
+
+}}} // namespace boost::geometry::index
+
+#endif // BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_OVERLAP_HPP

include/boost/geometry/extensions/index/algorithms/union_area.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Boost.SpatialIndex - boxes union/intersection area/volume
+//
+// Copyright 2008 Federico J. Fernandez.
+// Copyright 2011 Adam Wulkiewicz.
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_UNION_AREA_HPP
+#define BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_UNION_AREA_HPP
+
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/extensions/index/algorithms/area.hpp>
+
+namespace boost { namespace geometry { namespace index {
+
+/**
+ * \brief Compute the area of the union of b1 and b2
+ */
+template <typename Box, typename Geometry>
+inline typename area_result<Box>::type union_area(Box const& b, Geometry const& g)
+{
+    Box expanded_box(b);
+    geometry::expand(expanded_box, g);
+    return index::area(expanded_box);
+}
+
+}}} // namespace boost::geometry::index
+
+#endif // BOOST_GEOMETRY_EXTENSIONS_INDEX_ALGORITHMS_UNION_AREA_HPP

include/boost/geometry/extensions/index/default_parameter.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+//
+// Boost.SpatialIndex - default indexes parameters
+//
+// Copyright 2011 Adam Wulkiewicz.
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+#ifndef BOOST_GEOMETRY_EXTENSIONS_INDEX_DEFAULT_PARAMETER_HPP
+#define BOOST_GEOMETRY_EXTENSIONS_INDEX_DEFAULT_PARAMETER_HPP
+
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/extensions/index/translator/def.hpp>
+
+namespace boost { namespace geometry { namespace index {
+
+// TODO: awulkiew - move this elsewhere
+struct default_parameter {};
+
+namespace detail {
+
+template <typename Indexable>
+struct geometry_box_type
+{
+    typedef geometry::model::box<
+        geometry::model::point<
+            typename index::traits::coordinate_type<Indexable>::type,
+            index::traits::dimension<Indexable>::value,
+            typename index::traits::coordinate_system<Indexable>::type
+        >
+    > type;
+};
+
+template <typename Value, typename Translator>
+struct default_translator_type
+{
+    typedef Translator type;
+};
+template <typename Value>
+struct default_translator_type<Value, default_parameter>
+{
+    typedef translator::def<Value> type;
+};
+
+template <typename Indexable, typename Box>
+struct default_box_type
+{
+    typedef Box type;
+};
+template <typename Indexable>
+struct default_box_type<Indexable, default_parameter>
+{
+    typedef typename detail::geometry_box_type<Indexable>::type type;
+};
+
+} // namespace detail
+
+}}} // namespace boost::geometry::index
+
+#endif // BOOST_GEOMETRY_EXTENSIONS_INDEX_DEFAULT_PARAMETER_HPP