[strategies] Change interface of intersection strategies.

Instead of taking Policy as struct template parameter take it as apply()
method parameter.
Add members defining types of and returning point_in_geometry and side
strategies.
Make intersection strategies default within/covered_by strategies for L/L,
L/A and A/A geometries.
This commit is contained in:
Adam Wulkiewicz
2017-01-28 02:40:59 +01:00
parent c6695f125d
commit d70b1ce843
4 changed files with 319 additions and 102 deletions

View File

@@ -3,8 +3,8 @@
// Copyright (c) 2007-2014 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2013-2014 Adam Wulkiewicz, Lodz, Poland.
// This file was modified by Oracle on 2014, 2016.
// Modifications copyright (c) 2014-2016, Oracle and/or its affiliates.
// This file was modified by Oracle on 2014, 2016, 2017.
// Modifications copyright (c) 2014-2017, Oracle and/or its affiliates.
// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -33,13 +33,14 @@
#include <boost/geometry/util/promote_integral.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/agnostic/point_in_poly_winding.hpp>
#include <boost/geometry/strategies/cartesian/side_by_triangle.hpp>
#include <boost/geometry/strategies/side_info.hpp>
#include <boost/geometry/strategies/covered_by.hpp>
#include <boost/geometry/strategies/intersection.hpp>
#include <boost/geometry/strategies/intersection_result.hpp>
#include <boost/geometry/strategies/side.hpp>
#include <boost/geometry/strategies/side_info.hpp>
#include <boost/geometry/strategies/within.hpp>
#include <boost/geometry/policies/robustness/robust_point_type.hpp>
#include <boost/geometry/policies/robustness/segment_ratio_type.hpp>
@@ -61,10 +62,38 @@ namespace strategy { namespace intersection
/*!
\see http://mathworld.wolfram.com/Line-LineIntersection.html
*/
template <typename Policy, typename CalculationType = void>
template <typename CalculationType = void>
struct relate_cartesian_segments
{
typedef typename Policy::return_type return_type;
typedef side::side_by_triangle<CalculationType> side_strategy_type;
static inline side_strategy_type get_side_strategy()
{
return side_strategy_type();
}
template <typename Geometry1, typename Geometry2>
struct point_in_geometry_strategy
{
typedef strategy::within::winding
<
typename point_type<Geometry1>::type,
typename point_type<Geometry2>::type,
side_strategy_type,
CalculationType
> type;
};
template <typename Geometry1, typename Geometry2>
static inline typename point_in_geometry_strategy<Geometry1, Geometry2>::type
get_point_in_geometry_strategy()
{
typedef typename point_in_geometry_strategy
<
Geometry1, Geometry2
>::type strategy_type;
return strategy_type();
}
template <typename CoordinateType, typename SegmentRatio>
struct segment_intersection_info
@@ -144,9 +173,16 @@ struct relate_cartesian_segments
// Relate segments a and b
template <typename Segment1, typename Segment2, typename RobustPolicy>
static inline return_type apply(Segment1 const& a, Segment2 const& b,
RobustPolicy const& robust_policy)
template
<
typename Segment1,
typename Segment2,
typename Policy,
typename RobustPolicy
>
static inline typename Policy::return_type
apply(Segment1 const& a, Segment2 const& b,
Policy const& policy, RobustPolicy const& robust_policy)
{
// type them all as in Segment1 - TODO reconsider this, most precise?
typedef typename geometry::point_type<Segment1>::type point_type;
@@ -169,18 +205,25 @@ struct relate_cartesian_segments
geometry::recalculate(b0_rob, b0, robust_policy);
geometry::recalculate(b1_rob, b1, robust_policy);
return apply(a, b, robust_policy, a0_rob, a1_rob, b0_rob, b1_rob);
return apply(a, b, policy, robust_policy, a0_rob, a1_rob, b0_rob, b1_rob);
}
// The main entry-routine, calculating intersections of segments a / b
// NOTE: Robust* types may be the same as Segments' point types
template <typename Segment1, typename Segment2,
typename RobustPolicy,
typename RobustPoint1, typename RobustPoint2>
static inline return_type apply(Segment1 const& a, Segment2 const& b,
RobustPolicy const& /*robust_policy*/,
RobustPoint1 const& robust_a1, RobustPoint1 const& robust_a2,
RobustPoint2 const& robust_b1, RobustPoint2 const& robust_b2)
template
<
typename Segment1,
typename Segment2,
typename Policy,
typename RobustPolicy,
typename RobustPoint1,
typename RobustPoint2
>
static inline typename Policy::return_type
apply(Segment1 const& a, Segment2 const& b,
Policy const&, RobustPolicy const& /*robust_policy*/,
RobustPoint1 const& robust_a1, RobustPoint1 const& robust_a2,
RobustPoint2 const& robust_b1, RobustPoint2 const& robust_b2)
{
BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment1>) );
BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment2>) );
@@ -197,14 +240,9 @@ struct relate_cartesian_segments
;
}
typedef typename select_calculation_type
<Segment1, Segment2, CalculationType>::type coordinate_type;
typedef side::side_by_triangle<coordinate_type> side;
side_info sides;
sides.set<0>(side::apply(robust_b1, robust_b2, robust_a1),
side::apply(robust_b1, robust_b2, robust_a2));
sides.set<0>(side_strategy_type::apply(robust_b1, robust_b2, robust_a1),
side_strategy_type::apply(robust_b1, robust_b2, robust_a2));
if (sides.same<0>())
{
@@ -212,8 +250,8 @@ struct relate_cartesian_segments
return Policy::disjoint();
}
sides.set<1>(side::apply(robust_a1, robust_a2, robust_b1),
side::apply(robust_a1, robust_a2, robust_b2));
sides.set<1>(side_strategy_type::apply(robust_a1, robust_a2, robust_b1),
side_strategy_type::apply(robust_a1, robust_a2, robust_b2));
if (sides.same<1>())
{
@@ -230,16 +268,16 @@ struct relate_cartesian_segments
>::type robust_coordinate_type;
typedef typename segment_ratio_type
<
typename geometry::point_type<Segment1>::type, // TODO: most precise point?
RobustPolicy
>::type ratio_type;
<
typename geometry::point_type<Segment1>::type, // TODO: most precise point?
RobustPolicy
>::type ratio_type;
segment_intersection_info
<
coordinate_type,
ratio_type
> sinfo;
<
typename select_calculation_type<Segment1, Segment2, CalculationType>::type,
ratio_type
> sinfo;
sinfo.dx_a = get<1, 0>(a) - get<0, 0>(a); // distance in x-dir
sinfo.dx_b = get<1, 0>(b) - get<0, 0>(b);
@@ -303,14 +341,14 @@ struct relate_cartesian_segments
if (collinear_use_first.first)
{
return relate_collinear<0, ratio_type>(a, b,
return relate_collinear<0, Policy, ratio_type>(a, b,
robust_a1, robust_a2, robust_b1, robust_b2,
a_is_point, b_is_point);
}
else
{
// Y direction contains larger segments (maybe dx is zero)
return relate_collinear<1, ratio_type>(a, b,
return relate_collinear<1, Policy, ratio_type>(a, b,
robust_a1, robust_a2, robust_b1, robust_b2,
a_is_point, b_is_point);
}
@@ -358,33 +396,35 @@ private:
template
<
std::size_t Dimension,
typename Policy,
typename RatioType,
typename Segment1,
typename Segment2,
typename RobustPoint1,
typename RobustPoint2
>
static inline return_type relate_collinear(Segment1 const& a,
Segment2 const& b,
RobustPoint1 const& robust_a1, RobustPoint1 const& robust_a2,
RobustPoint2 const& robust_b1, RobustPoint2 const& robust_b2,
bool a_is_point, bool b_is_point)
static inline typename Policy::return_type
relate_collinear(Segment1 const& a,
Segment2 const& b,
RobustPoint1 const& robust_a1, RobustPoint1 const& robust_a2,
RobustPoint2 const& robust_b1, RobustPoint2 const& robust_b2,
bool a_is_point, bool b_is_point)
{
if (a_is_point)
{
return relate_one_degenerate<RatioType>(a,
return relate_one_degenerate<Policy, RatioType>(a,
get<Dimension>(robust_a1),
get<Dimension>(robust_b1), get<Dimension>(robust_b2),
true);
}
if (b_is_point)
{
return relate_one_degenerate<RatioType>(b,
return relate_one_degenerate<Policy, RatioType>(b,
get<Dimension>(robust_b1),
get<Dimension>(robust_a1), get<Dimension>(robust_a2),
false);
}
return relate_collinear<RatioType>(a, b,
return relate_collinear<Policy, RatioType>(a, b,
get<Dimension>(robust_a1),
get<Dimension>(robust_a2),
get<Dimension>(robust_b1),
@@ -394,17 +434,17 @@ private:
/// Relate segments known collinear
template
<
typename Policy,
typename RatioType,
typename Segment1,
typename Segment2,
typename RobustType1,
typename RobustType2
>
static inline return_type relate_collinear(Segment1 const& a
, Segment2 const& b
, RobustType1 oa_1, RobustType1 oa_2
, RobustType2 ob_1, RobustType2 ob_2
)
static inline typename Policy::return_type
relate_collinear(Segment1 const& a, Segment2 const& b,
RobustType1 oa_1, RobustType1 oa_2,
RobustType2 ob_1, RobustType2 ob_2)
{
// Calculate the ratios where a starts in b, b starts in a
// a1--------->a2 (2..7)
@@ -496,17 +536,16 @@ private:
/// Relate segments where one is degenerate
template
<
typename Policy,
typename RatioType,
typename DegenerateSegment,
typename RobustType1,
typename RobustType2
>
static inline return_type relate_one_degenerate(
DegenerateSegment const& degenerate_segment
, RobustType1 d
, RobustType2 s1, RobustType2 s2
, bool a_degenerate
)
static inline typename Policy::return_type
relate_one_degenerate(DegenerateSegment const& degenerate_segment,
RobustType1 d, RobustType2 s1, RobustType2 s2,
bool a_degenerate)
{
// Calculate the ratios where ds starts in s
// a1--------->a2 (2..6)
@@ -546,10 +585,10 @@ private:
namespace services
{
template <typename Policy, typename CalculationType>
struct default_strategy<cartesian_tag, Policy, CalculationType>
template <typename CalculationType>
struct default_strategy<cartesian_tag, CalculationType>
{
typedef relate_cartesian_segments<Policy, CalculationType> type;
typedef relate_cartesian_segments<CalculationType> type;
};
} // namespace services
@@ -558,6 +597,69 @@ struct default_strategy<cartesian_tag, Policy, CalculationType>
}} // namespace strategy::intersection
namespace strategy
{
namespace within { namespace services
{
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, linear_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, polygonal_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, linear_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, polygonal_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
}} // within::services
namespace covered_by { namespace services
{
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, linear_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, polygonal_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, linear_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, polygonal_tag, cartesian_tag, cartesian_tag>
{
typedef strategy::intersection::relate_cartesian_segments<> type;
};
}} // within::services
} // strategy
}} // namespace boost::geometry

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@@ -1,6 +1,6 @@
// Boost.Geometry
// Copyright (c) 2016, Oracle and/or its affiliates.
// Copyright (c) 2016-2017, Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
// Use, modification and distribution is subject to the Boost Software License,
@@ -30,10 +30,9 @@ namespace services
\brief Traits class binding a segments intersection strategy to a coordinate system
\ingroup util
\tparam CSTag tag of coordinate system of point-type
\tparam Policy intersection policy
\tparam CalculationType \tparam_calculation
*/
template <typename CSTag, typename Policy, typename CalculationType = void>
template <typename CSTag, typename CalculationType = void>
struct default_strategy
{
BOOST_MPL_ASSERT_MSG

View File

@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// This file was modified by Oracle on 2016.
// Modifications copyright (c) 2016, Oracle and/or its affiliates.
// This file was modified by Oracle on 2016, 2017.
// Modifications copyright (c) 2016-2017, Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
// Use, modification and distribution is subject to the Boost Software License,
@@ -70,17 +70,18 @@ private :
> ip_type;
public:
typedef policies::relate::segments_tupled
<
policies::relate::segments_intersection_points
<
ip_type
> ,
policies::relate::segments_direction
> intersection_policy_type;
typedef typename strategy::intersection::services::default_strategy
<
Tag,
policies::relate::segments_tupled
<
policies::relate::segments_intersection_points
<
ip_type
> ,
policies::relate::segments_direction
>,
CalculationType
>::type segment_intersection_strategy_type;

View File

@@ -1,6 +1,6 @@
// Boost.Geometry
// Copyright (c) 2016, Oracle and/or its affiliates.
// Copyright (c) 2016-2017, Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
// Use, modification and distribution is subject to the Boost Software License,
@@ -32,9 +32,14 @@
#include <boost/geometry/policies/robustness/segment_ratio.hpp>
#include <boost/geometry/strategies/side_info.hpp>
#include <boost/geometry/strategies/agnostic/point_in_poly_winding.hpp>
#include <boost/geometry/strategies/covered_by.hpp>
#include <boost/geometry/strategies/intersection.hpp>
#include <boost/geometry/strategies/intersection_result.hpp>
#include <boost/geometry/strategies/side.hpp>
#include <boost/geometry/strategies/side_info.hpp>
#include <boost/geometry/strategies/spherical/ssf.hpp>
#include <boost/geometry/strategies/within.hpp>
#include <boost/geometry/util/math.hpp>
#include <boost/geometry/util/select_calculation_type.hpp>
@@ -68,10 +73,38 @@ namespace strategy { namespace intersection
// For now, intersection points near the endpoints are checked explicitly if needed (if the IP is near the endpoint)
// to generate precise result for them. Only the crossing (i) case may suffer from lower precision.
template <typename Policy, typename CalculationType = void>
template <typename CalculationType = void>
struct relate_spherical_segments
{
typedef typename Policy::return_type return_type;
typedef side::spherical_side_formula<CalculationType> side_strategy_type;
static inline side_strategy_type get_side_strategy()
{
return side_strategy_type();
}
template <typename Geometry1, typename Geometry2>
struct point_in_geometry_strategy
{
typedef strategy::within::winding
<
typename point_type<Geometry1>::type,
typename point_type<Geometry2>::type,
side_strategy_type,
CalculationType
> type;
};
template <typename Geometry1, typename Geometry2>
static inline typename point_in_geometry_strategy<Geometry1, Geometry2>::type
get_point_in_geometry_strategy()
{
typedef typename point_in_geometry_strategy
<
Geometry1, Geometry2
>::type strategy_type;
return strategy_type();
}
enum intersection_point_flag { ipi_inters = 0, ipi_at_a1, ipi_at_a2, ipi_at_b1, ipi_at_b2 };
@@ -137,9 +170,16 @@ struct relate_spherical_segments
};
// Relate segments a and b
template <typename Segment1, typename Segment2, typename RobustPolicy>
static inline return_type apply(Segment1 const& a, Segment2 const& b,
RobustPolicy const& robust_policy)
template
<
typename Segment1,
typename Segment2,
typename Policy,
typename RobustPolicy
>
static inline typename Policy::return_type
apply(Segment1 const& a, Segment2 const& b,
Policy const& policy, RobustPolicy const& robust_policy)
{
typedef typename point_type<Segment1>::type point1_t;
typedef typename point_type<Segment2>::type point2_t;
@@ -152,14 +192,23 @@ struct relate_spherical_segments
detail::assign_point_from_index<0>(b, b1);
detail::assign_point_from_index<1>(b, b2);
return apply(a, b, robust_policy, a1, a2, b1, b2);
return apply(a, b, policy, robust_policy, a1, a2, b1, b2);
}
// Relate segments a and b
template <typename Segment1, typename Segment2, typename RobustPolicy, typename Point1, typename Point2>
static inline return_type apply(Segment1 const& a, Segment2 const& b,
RobustPolicy const&,
Point1 const& a1, Point1 const& a2, Point2 const& b1, Point2 const& b2)
template
<
typename Segment1,
typename Segment2,
typename Policy,
typename RobustPolicy,
typename Point1,
typename Point2
>
static inline typename Policy::return_type
apply(Segment1 const& a, Segment2 const& b,
Policy const&, RobustPolicy const&,
Point1 const& a1, Point1 const& a2, Point2 const& b1, Point2 const& b2)
{
BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment1>) );
BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment2>) );
@@ -275,12 +324,12 @@ struct relate_spherical_segments
{
if (a_is_point)
{
return collinear_one_degenerted<calc_t>(a, true, b1, b2, a1, a2, b1v, b2v, norm2, a1v);
return collinear_one_degenerted<Policy, calc_t>(a, true, b1, b2, a1, a2, b1v, b2v, norm2, a1v);
}
else if (b_is_point)
{
// b2 used to be consistent with (degenerated) checks above (is it needed?)
return collinear_one_degenerted<calc_t>(b, false, a1, a2, b1, b2, a1v, a2v, norm1, b1v);
return collinear_one_degenerted<Policy, calc_t>(b, false, a1, a2, b1, b2, a1v, a2v, norm1, b1v);
}
else
{
@@ -385,12 +434,13 @@ struct relate_spherical_segments
}
private:
template <typename CalcT, typename Segment, typename Point1, typename Point2, typename Vec3d>
static inline return_type collinear_one_degenerted(Segment const& segment, bool degenerated_a,
Point1 const& a1, Point1 const& a2,
Point2 const& b1, Point2 const& b2,
Vec3d const& v1, Vec3d const& v2, Vec3d const& norm,
Vec3d const& vother)
template <typename Policy, typename CalcT, typename Segment, typename Point1, typename Point2, typename Vec3d>
static inline typename Policy::return_type
collinear_one_degenerted(Segment const& segment, bool degenerated_a,
Point1 const& a1, Point1 const& a2,
Point2 const& b1, Point2 const& b2,
Vec3d const& v1, Vec3d const& v2, Vec3d const& norm,
Vec3d const& vother)
{
CalcT dist_1_2, dist_1_o;
return ! calculate_collinear_data(a1, a2, b1, b2, v1, v2, norm, vother, dist_1_2, dist_1_o)
@@ -671,22 +721,22 @@ private:
namespace services
{
/*template <typename Policy, typename CalculationType>
struct default_strategy<spherical_polar_tag, Policy, CalculationType>
/*template <typename CalculationType>
struct default_strategy<spherical_polar_tag, CalculationType>
{
typedef relate_spherical_segments<Policy, CalculationType> type;
typedef relate_spherical_segments<CalculationType> type;
};*/
template <typename Policy, typename CalculationType>
struct default_strategy<spherical_equatorial_tag, Policy, CalculationType>
template <typename CalculationType>
struct default_strategy<spherical_equatorial_tag, CalculationType>
{
typedef relate_spherical_segments<Policy, CalculationType> type;
typedef relate_spherical_segments<CalculationType> type;
};
template <typename Policy, typename CalculationType>
struct default_strategy<geographic_tag, Policy, CalculationType>
template <typename CalculationType>
struct default_strategy<geographic_tag, CalculationType>
{
typedef relate_spherical_segments<Policy, CalculationType> type;
typedef relate_spherical_segments<CalculationType> type;
};
} // namespace services
@@ -695,6 +745,71 @@ struct default_strategy<geographic_tag, Policy, CalculationType>
}} // namespace strategy::intersection
namespace strategy
{
namespace within { namespace services
{
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, linear_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, polygonal_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, linear_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, polygonal_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
}} // within::services
namespace covered_by { namespace services
{
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, linear_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, linear_tag, polygonal_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, linear_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
template <typename Geometry1, typename Geometry2, typename AnyTag1, typename AnyTag2>
struct default_strategy<Geometry1, Geometry2, AnyTag1, AnyTag2, polygonal_tag, polygonal_tag, spherical_tag, spherical_tag>
{
typedef strategy::intersection::relate_spherical_segments<> type;
};
}} // within::services
} // strategy
}} // namespace boost::geometry