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-rw-r--r--boost/geometry/strategies/geographic/area.hpp216
-rw-r--r--boost/geometry/strategies/geographic/azimuth.hpp103
-rw-r--r--boost/geometry/strategies/geographic/distance.hpp195
-rw-r--r--boost/geometry/strategies/geographic/distance_andoyer.hpp90
-rw-r--r--boost/geometry/strategies/geographic/distance_thomas.hpp67
-rw-r--r--boost/geometry/strategies/geographic/distance_vincenty.hpp67
-rw-r--r--boost/geometry/strategies/geographic/envelope_segment.hpp104
-rw-r--r--boost/geometry/strategies/geographic/intersection.hpp897
-rw-r--r--boost/geometry/strategies/geographic/intersection_elliptic.hpp243
-rw-r--r--boost/geometry/strategies/geographic/mapping_ssf.hpp6
-rw-r--r--boost/geometry/strategies/geographic/parameters.hpp117
-rw-r--r--boost/geometry/strategies/geographic/side.hpp113
-rw-r--r--boost/geometry/strategies/geographic/side_andoyer.hpp25
-rw-r--r--boost/geometry/strategies/geographic/side_detail.hpp139
-rw-r--r--boost/geometry/strategies/geographic/side_thomas.hpp25
-rw-r--r--boost/geometry/strategies/geographic/side_vincenty.hpp25
16 files changed, 2087 insertions, 345 deletions
diff --git a/boost/geometry/strategies/geographic/area.hpp b/boost/geometry/strategies/geographic/area.hpp
new file mode 100644
index 0000000000..e1d3b09b5a
--- /dev/null
+++ b/boost/geometry/strategies/geographic/area.hpp
@@ -0,0 +1,216 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2016-2017 Oracle and/or its affiliates.
+// Contributed and/or modified by Vissarion Fisikopoulos, on behalf of Oracle
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// Use, modification and distribution is subject to the Boost Software License,
+// 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_GEOGRAPHIC_AREA_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AREA_HPP
+
+
+#include <boost/geometry/core/srs.hpp>
+
+#include <boost/geometry/formulas/area_formulas.hpp>
+#include <boost/geometry/formulas/flattening.hpp>
+
+#include <boost/geometry/strategies/geographic/parameters.hpp>
+
+#include <boost/math/special_functions/atanh.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace area
+{
+
+/*!
+\brief Geographic area calculation
+\ingroup strategies
+\details Geographic area calculation by trapezoidal rule plus integral
+ approximation that gives the ellipsoidal correction
+\tparam PointOfSegment \tparam_segment_point
+\tparam FormulaPolicy Formula used to calculate azimuths
+\tparam SeriesOrder The order of approximation of the geodesic integral
+\tparam Spheroid The spheroid model
+\tparam CalculationType \tparam_calculation
+\author See
+- Danielsen JS, The area under the geodesic. Surv Rev 30(232): 61–66, 1989
+- Charles F.F Karney, Algorithms for geodesics, 2011 https://arxiv.org/pdf/1109.4448.pdf
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.area.area_2_with_strategy area (with strategy)]
+}
+*/
+template
+<
+ typename PointOfSegment,
+ typename FormulaPolicy = strategy::andoyer,
+ std::size_t SeriesOrder = strategy::default_order<FormulaPolicy>::value,
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+class geographic
+{
+ // Switch between two kinds of approximation(series in eps and n v.s.series in k ^ 2 and e'^2)
+ static const bool ExpandEpsN = true;
+ // LongSegment Enables special handling of long segments
+ static const bool LongSegment = false;
+
+ //Select default types in case they are not set
+
+ 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 CT;
+
+protected :
+ struct spheroid_constants
+ {
+ Spheroid m_spheroid;
+ CT const m_a2; // squared equatorial radius
+ CT const m_e2; // squared eccentricity
+ CT const m_ep2; // squared second eccentricity
+ CT const m_ep; // second eccentricity
+ CT const m_c2; // authalic radius
+
+ inline spheroid_constants(Spheroid const& spheroid)
+ : m_spheroid(spheroid)
+ , m_a2(math::sqr(get_radius<0>(spheroid)))
+ , m_e2(formula::flattening<CT>(spheroid)
+ * (CT(2.0) - CT(formula::flattening<CT>(spheroid))))
+ , m_ep2(m_e2 / (CT(1.0) - m_e2))
+ , m_ep(math::sqrt(m_ep2))
+ , m_c2((m_a2 / CT(2.0)) +
+ ((math::sqr(get_radius<2>(spheroid)) * boost::math::atanh(math::sqrt(m_e2)))
+ / (CT(2.0) * math::sqrt(m_e2))))
+ {}
+ };
+
+ struct area_sums
+ {
+ CT m_excess_sum;
+ CT m_correction_sum;
+
+ // Keep track if encircles some pole
+ std::size_t m_crosses_prime_meridian;
+
+ inline area_sums()
+ : m_excess_sum(0)
+ , m_correction_sum(0)
+ , m_crosses_prime_meridian(0)
+ {}
+ inline CT area(spheroid_constants spheroid_const) const
+ {
+ CT result;
+
+ CT sum = spheroid_const.m_c2 * m_excess_sum
+ + spheroid_const.m_e2 * spheroid_const.m_a2 * m_correction_sum;
+
+ // If encircles some pole
+ if (m_crosses_prime_meridian % 2 == 1)
+ {
+ std::size_t times_crosses_prime_meridian
+ = 1 + (m_crosses_prime_meridian / 2);
+
+ result = CT(2.0)
+ * geometry::math::pi<CT>()
+ * spheroid_const.m_c2
+ * CT(times_crosses_prime_meridian)
+ - geometry::math::abs(sum);
+
+ if (geometry::math::sign<CT>(sum) == 1)
+ {
+ result = - result;
+ }
+
+ }
+ else
+ {
+ result = sum;
+ }
+
+ return result;
+ }
+ };
+
+public :
+ typedef CT return_type;
+ typedef PointOfSegment segment_point_type;
+ typedef area_sums state_type;
+
+ explicit inline geographic(Spheroid const& spheroid = Spheroid())
+ : m_spheroid_constants(spheroid)
+ {}
+
+ inline void apply(PointOfSegment const& p1,
+ PointOfSegment const& p2,
+ area_sums& state) const
+ {
+
+ if (! geometry::math::equals(get<0>(p1), get<0>(p2)))
+ {
+
+ typedef geometry::formula::area_formulas
+ <
+ CT, SeriesOrder, ExpandEpsN
+ > area_formulas;
+
+ typename area_formulas::return_type_ellipsoidal result =
+ area_formulas::template ellipsoidal<FormulaPolicy::template inverse>
+ (p1, p2, m_spheroid_constants);
+
+ state.m_excess_sum += result.spherical_term;
+ state.m_correction_sum += result.ellipsoidal_term;
+
+ // Keep track whenever a segment crosses the prime meridian
+ geometry::formula::area_formulas<CT>
+ ::crosses_prime_meridian(p1, p2, state);
+ }
+ }
+
+ inline return_type result(area_sums const& state) const
+ {
+ return state.area(m_spheroid_constants);
+ }
+
+private:
+ spheroid_constants m_spheroid_constants;
+
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+
+template <typename Point>
+struct default_strategy<geographic_tag, Point>
+{
+ typedef strategy::area::geographic<Point> type;
+};
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+}
+
+}} // namespace strategy::area
+
+
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AREA_HPP
diff --git a/boost/geometry/strategies/geographic/azimuth.hpp b/boost/geometry/strategies/geographic/azimuth.hpp
new file mode 100644
index 0000000000..47f59d1033
--- /dev/null
+++ b/boost/geometry/strategies/geographic/azimuth.hpp
@@ -0,0 +1,103 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2016-2017 Oracle and/or its affiliates.
+// Contributed and/or modified by Vissarion Fisikopoulos, on behalf of Oracle
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// Use, modification and distribution is subject to the Boost Software License,
+// 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_GEOGRAPHIC_AZIMUTH_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AZIMUTH_HPP
+
+
+#include <boost/geometry/core/srs.hpp>
+
+#include <boost/geometry/strategies/azimuth.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
+
+#include <boost/mpl/if.hpp>
+#include <boost/type_traits/is_void.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace azimuth
+{
+
+template
+<
+ typename FormulaPolicy = strategy::andoyer,
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+class geographic
+{
+public :
+
+ typedef Spheroid model_type;
+
+ inline geographic()
+ : m_spheroid()
+ {}
+
+ explicit inline geographic(Spheroid const& spheroid)
+ : m_spheroid(spheroid)
+ {}
+
+ inline model_type const& model() const
+ {
+ return m_spheroid;
+ }
+
+ template <typename T>
+ inline void apply(T const& lon1_rad, T const& lat1_rad,
+ T const& lon2_rad, T const& lat2_rad,
+ T& a1, T& a2) const
+ {
+ typedef typename boost::mpl::if_
+ <
+ boost::is_void<CalculationType>, T, CalculationType
+ >::type calc_t;
+
+ typedef typename FormulaPolicy::template inverse<calc_t, false, true, true, false, false> inverse_type;
+ typedef typename inverse_type::result_type inverse_result;
+ inverse_result i_res = inverse_type::apply(calc_t(lon1_rad), calc_t(lat1_rad),
+ calc_t(lon2_rad), calc_t(lat2_rad),
+ m_spheroid);
+ a1 = i_res.azimuth;
+ a2 = i_res.reverse_azimuth;
+ }
+
+private :
+ Spheroid m_spheroid;
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+template <typename CalculationType>
+struct default_strategy<geographic_tag, CalculationType>
+{
+ typedef strategy::azimuth::geographic
+ <
+ strategy::andoyer,
+ srs::spheroid<double>,
+ CalculationType
+ > type;
+};
+
+}
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+}} // namespace strategy::azimuth
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AZIMUTH_HPP
diff --git a/boost/geometry/strategies/geographic/distance.hpp b/boost/geometry/strategies/geographic/distance.hpp
new file mode 100644
index 0000000000..d3656f449c
--- /dev/null
+++ b/boost/geometry/strategies/geographic/distance.hpp
@@ -0,0 +1,195 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2016 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2014-2017.
+// Modifications copyright (c) 2014-2017 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,
+// 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_GEOGRAPHIC_DISTANCE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_DISTANCE_HPP
+
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/core/radius.hpp>
+#include <boost/geometry/core/srs.hpp>
+
+#include <boost/geometry/formulas/andoyer_inverse.hpp>
+#include <boost/geometry/formulas/flattening.hpp>
+
+#include <boost/geometry/strategies/distance.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/promote_floating_point.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace distance
+{
+
+template
+<
+ typename FormulaPolicy = strategy::andoyer,
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+class geographic
+{
+public :
+ template <typename Point1, typename Point2>
+ struct calculation_type
+ : promote_floating_point
+ <
+ typename select_calculation_type
+ <
+ Point1,
+ Point2,
+ CalculationType
+ >::type
+ >
+ {};
+
+ typedef Spheroid model_type;
+
+ inline geographic()
+ : m_spheroid()
+ {}
+
+ explicit inline geographic(Spheroid const& spheroid)
+ : m_spheroid(spheroid)
+ {}
+
+ template <typename Point1, typename Point2>
+ inline typename calculation_type<Point1, Point2>::type
+ apply(Point1 const& point1, Point2 const& point2) const
+ {
+ return FormulaPolicy::template inverse
+ <
+ typename calculation_type<Point1, Point2>::type,
+ true, false, false, false, false
+ >::apply(get_as_radian<0>(point1), get_as_radian<1>(point1),
+ get_as_radian<0>(point2), get_as_radian<1>(point2),
+ m_spheroid).distance;
+ }
+
+ inline Spheroid const& model() const
+ {
+ return m_spheroid;
+ }
+
+private :
+ Spheroid m_spheroid;
+};
+
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+namespace services
+{
+
+template
+<
+ typename FormulaPolicy,
+ typename Spheroid,
+ typename CalculationType
+>
+struct tag<geographic<FormulaPolicy, Spheroid, CalculationType> >
+{
+ typedef strategy_tag_distance_point_point type;
+};
+
+
+template
+<
+ typename FormulaPolicy,
+ typename Spheroid,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct return_type<geographic<FormulaPolicy, Spheroid, CalculationType>, P1, P2>
+ : geographic<FormulaPolicy, Spheroid, CalculationType>::template calculation_type<P1, P2>
+{};
+
+
+template
+<
+ typename FormulaPolicy,
+ typename Spheroid,
+ typename CalculationType
+>
+struct comparable_type<geographic<FormulaPolicy, Spheroid, CalculationType> >
+{
+ typedef geographic<FormulaPolicy, Spheroid, CalculationType> type;
+};
+
+
+template
+<
+ typename FormulaPolicy,
+ typename Spheroid,
+ typename CalculationType
+>
+struct get_comparable<geographic<FormulaPolicy, Spheroid, CalculationType> >
+{
+ static inline geographic<FormulaPolicy, Spheroid, CalculationType>
+ apply(geographic<FormulaPolicy, Spheroid, CalculationType> const& input)
+ {
+ return input;
+ }
+};
+
+template
+<
+ typename FormulaPolicy,
+ typename Spheroid,
+ typename CalculationType,
+ typename P1,
+ typename P2
+>
+struct result_from_distance<geographic<FormulaPolicy, Spheroid, CalculationType>, P1, P2>
+{
+ template <typename T>
+ static inline typename return_type<geographic<FormulaPolicy, Spheroid, CalculationType>, P1, P2>::type
+ apply(geographic<FormulaPolicy, Spheroid, CalculationType> const& , T const& value)
+ {
+ return value;
+ }
+};
+
+
+template <typename Point1, typename Point2>
+struct default_strategy<point_tag, point_tag, Point1, Point2, geographic_tag, geographic_tag>
+{
+ typedef strategy::distance::geographic
+ <
+ strategy::andoyer,
+ srs::spheroid
+ <
+ typename select_coordinate_type<Point1, Point2>::type
+ >
+ > type;
+};
+
+
+} // namespace services
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::distance
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_DISTANCE_HPP
diff --git a/boost/geometry/strategies/geographic/distance_andoyer.hpp b/boost/geometry/strategies/geographic/distance_andoyer.hpp
index 1946cd1090..d732951642 100644
--- a/boost/geometry/strategies/geographic/distance_andoyer.hpp
+++ b/boost/geometry/strategies/geographic/distance_andoyer.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2016 Barend Gehrels, Amsterdam, the Netherlands.
-// 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, 2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -11,24 +11,12 @@
// 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_GEOGRAPHIC_ANDOYER_HPP
-#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_ANDOYER_HPP
+#ifndef BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_DISTANCE_DETAIL_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_DISTANCE_DETAIL_HPP
-#include <boost/geometry/core/coordinate_type.hpp>
-#include <boost/geometry/core/radian_access.hpp>
-#include <boost/geometry/core/radius.hpp>
-#include <boost/geometry/core/srs.hpp>
-
-#include <boost/geometry/algorithms/detail/flattening.hpp>
-
-#include <boost/geometry/formulas/andoyer_inverse.hpp>
-
-#include <boost/geometry/strategies/distance.hpp>
-
-#include <boost/geometry/util/math.hpp>
-#include <boost/geometry/util/promote_floating_point.hpp>
-#include <boost/geometry/util/select_calculation_type.hpp>
+#include <boost/geometry/strategies/geographic/distance.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
namespace boost { namespace geometry
@@ -57,55 +45,28 @@ are about the same as Vincenty. In my (Barend's) testcases the results didn't di
*/
template
<
- typename Spheroid,
+ typename Spheroid = srs::spheroid<double>,
typename CalculationType = void
>
class andoyer
+ : public strategy::distance::geographic
+ <
+ strategy::andoyer, Spheroid, CalculationType
+ >
{
-public :
- template <typename Point1, typename Point2>
- struct calculation_type
- : promote_floating_point
- <
- typename select_calculation_type
- <
- Point1,
- Point2,
- CalculationType
- >::type
- >
- {};
-
- typedef Spheroid model_type;
+ typedef strategy::distance::geographic
+ <
+ strategy::andoyer, Spheroid, CalculationType
+ > base_type;
+public :
inline andoyer()
- : m_spheroid()
+ : base_type()
{}
explicit inline andoyer(Spheroid const& spheroid)
- : m_spheroid(spheroid)
+ : base_type(spheroid)
{}
-
- template <typename Point1, typename Point2>
- inline typename calculation_type<Point1, Point2>::type
- apply(Point1 const& point1, Point2 const& point2) const
- {
- return geometry::formula::andoyer_inverse
- <
- typename calculation_type<Point1, Point2>::type,
- true, false
- >::apply(get_as_radian<0>(point1), get_as_radian<1>(point1),
- get_as_radian<0>(point2), get_as_radian<1>(point2),
- m_spheroid).distance;
- }
-
- inline Spheroid const& model() const
- {
- return m_spheroid;
- }
-
-private :
- Spheroid m_spheroid;
};
@@ -154,19 +115,6 @@ struct result_from_distance<andoyer<Spheroid, CalculationType>, P1, P2>
};
-template <typename Point1, typename Point2>
-struct default_strategy<point_tag, point_tag, Point1, Point2, geographic_tag, geographic_tag>
-{
- typedef strategy::distance::andoyer
- <
- srs::spheroid
- <
- typename select_coordinate_type<Point1, Point2>::type
- >
- > type;
-};
-
-
} // namespace services
#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
@@ -177,4 +125,4 @@ struct default_strategy<point_tag, point_tag, Point1, Point2, geographic_tag, ge
}} // namespace boost::geometry
-#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_ANDOYER_HPP
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_DISTANCE_DETAIL_HPP
diff --git a/boost/geometry/strategies/geographic/distance_thomas.hpp b/boost/geometry/strategies/geographic/distance_thomas.hpp
index 39e0ecfa6f..490920c778 100644
--- a/boost/geometry/strategies/geographic/distance_thomas.hpp
+++ b/boost/geometry/strategies/geographic/distance_thomas.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// This file was modified by Oracle on 2015, 2016.
-// Modifications copyright (c) 2015-2016 Oracle and/or its affiliates.
+// This file was modified by Oracle on 2015-2017.
+// Modifications copyright (c) 2015-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -15,15 +15,9 @@
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_THOMAS_HPP
-#include <boost/geometry/core/coordinate_type.hpp>
-#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/strategies/geographic/distance.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
-#include <boost/geometry/strategies/distance.hpp>
-
-#include <boost/geometry/util/promote_floating_point.hpp>
-#include <boost/geometry/util/select_calculation_type.hpp>
-
-#include <boost/geometry/formulas/thomas_inverse.hpp>
namespace boost { namespace geometry
{
@@ -45,57 +39,28 @@ namespace strategy { namespace distance
*/
template
<
- typename Spheroid,
+ typename Spheroid = srs::spheroid<double>,
typename CalculationType = void
>
class thomas
+ : public strategy::distance::geographic
+ <
+ strategy::thomas, Spheroid, CalculationType
+ >
{
-public :
- template <typename Point1, typename Point2>
- struct calculation_type
- : promote_floating_point
- <
- typename select_calculation_type
- <
- Point1,
- Point2,
- CalculationType
- >::type
- >
- {};
-
- typedef Spheroid model_type;
+ typedef strategy::distance::geographic
+ <
+ strategy::thomas, Spheroid, CalculationType
+ > base_type;
+public :
inline thomas()
- : m_spheroid()
+ : base_type()
{}
explicit inline thomas(Spheroid const& spheroid)
- : m_spheroid(spheroid)
+ : base_type(spheroid)
{}
-
- template <typename Point1, typename Point2>
- inline typename calculation_type<Point1, Point2>::type
- apply(Point1 const& point1, Point2 const& point2) const
- {
- return geometry::formula::thomas_inverse
- <
- typename calculation_type<Point1, Point2>::type,
- true, false
- >::apply(get_as_radian<0>(point1),
- get_as_radian<1>(point1),
- get_as_radian<0>(point2),
- get_as_radian<1>(point2),
- m_spheroid).distance;
- }
-
- inline Spheroid const& model() const
- {
- return m_spheroid;
- }
-
-private :
- Spheroid m_spheroid;
};
#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
diff --git a/boost/geometry/strategies/geographic/distance_vincenty.hpp b/boost/geometry/strategies/geographic/distance_vincenty.hpp
index e79e9aeb46..41146db9ff 100644
--- a/boost/geometry/strategies/geographic/distance_vincenty.hpp
+++ b/boost/geometry/strategies/geographic/distance_vincenty.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// 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 2014-2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -15,15 +15,9 @@
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_VINCENTY_HPP
-#include <boost/geometry/core/coordinate_type.hpp>
-#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/strategies/geographic/distance.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
-#include <boost/geometry/strategies/distance.hpp>
-
-#include <boost/geometry/util/promote_floating_point.hpp>
-#include <boost/geometry/util/select_calculation_type.hpp>
-
-#include <boost/geometry/formulas/vincenty_inverse.hpp>
namespace boost { namespace geometry
{
@@ -47,57 +41,28 @@ namespace strategy { namespace distance
*/
template
<
- typename Spheroid,
+ typename Spheroid = srs::spheroid<double>,
typename CalculationType = void
>
class vincenty
+ : public strategy::distance::geographic
+ <
+ strategy::vincenty, Spheroid, CalculationType
+ >
{
-public :
- template <typename Point1, typename Point2>
- struct calculation_type
- : promote_floating_point
- <
- typename select_calculation_type
- <
- Point1,
- Point2,
- CalculationType
- >::type
- >
- {};
-
- typedef Spheroid model_type;
+ typedef strategy::distance::geographic
+ <
+ strategy::vincenty, Spheroid, CalculationType
+ > base_type;
+public:
inline vincenty()
- : m_spheroid()
+ : base_type()
{}
explicit inline vincenty(Spheroid const& spheroid)
- : m_spheroid(spheroid)
+ : base_type(spheroid)
{}
-
- template <typename Point1, typename Point2>
- inline typename calculation_type<Point1, Point2>::type
- apply(Point1 const& point1, Point2 const& point2) const
- {
- return geometry::formula::vincenty_inverse
- <
- typename calculation_type<Point1, Point2>::type,
- true, false
- >::apply(get_as_radian<0>(point1),
- get_as_radian<1>(point1),
- get_as_radian<0>(point2),
- get_as_radian<1>(point2),
- m_spheroid).distance;
- }
-
- inline Spheroid const& model() const
- {
- return m_spheroid;
- }
-
-private :
- Spheroid m_spheroid;
};
#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
diff --git a/boost/geometry/strategies/geographic/envelope_segment.hpp b/boost/geometry/strategies/geographic/envelope_segment.hpp
new file mode 100644
index 0000000000..3641b39428
--- /dev/null
+++ b/boost/geometry/strategies/geographic/envelope_segment.hpp
@@ -0,0 +1,104 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2017 Oracle and/or its affiliates.
+// Contributed and/or modified by Vissarion Fisikopoulos, on behalf of Oracle
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// Use, modification and distribution is subject to the Boost Software License,
+// 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_GEOGRAPHIC_ENVELOPE_SEGMENT_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_ENVELOPE_SEGMENT_HPP
+
+
+#include <boost/geometry/algorithms/detail/envelope/segment.hpp>
+#include <boost/geometry/algorithms/detail/normalize.hpp>
+#include <boost/geometry/core/srs.hpp>
+#include <boost/geometry/strategies/envelope.hpp>
+#include <boost/geometry/strategies/geographic/azimuth.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace envelope
+{
+
+template
+<
+ typename FormulaPolicy = strategy::andoyer,
+ typename Spheroid = geometry::srs::spheroid<double>,
+ typename CalculationType = void
+>
+class geographic_segment
+{
+public:
+ typedef Spheroid model_type;
+
+ inline geographic_segment()
+ : m_spheroid()
+ {}
+
+ explicit inline geographic_segment(Spheroid const& spheroid)
+ : m_spheroid(spheroid)
+ {}
+
+ template <typename Point1, typename Point2, typename Box>
+ inline void apply(Point1 const& point1, Point2 const& point2, Box& box) const
+ {
+ Point1 p1_normalized = detail::return_normalized<Point1>(point1);
+ Point2 p2_normalized = detail::return_normalized<Point2>(point2);
+
+ geometry::strategy::azimuth::geographic
+ <
+ FormulaPolicy,
+ Spheroid,
+ CalculationType
+ > azimuth_geographic(m_spheroid);
+
+ typedef typename coordinate_system<Point1>::type::units units_type;
+
+ detail::envelope::envelope_segment_impl
+ <
+ geographic_tag
+ >::template apply<units_type>(geometry::get<0>(p1_normalized),
+ geometry::get<1>(p1_normalized),
+ geometry::get<0>(p2_normalized),
+ geometry::get<1>(p2_normalized),
+ box,
+ azimuth_geographic);
+
+ }
+
+private:
+ Spheroid m_spheroid;
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+
+template <typename CalculationType>
+struct default_strategy<geographic_tag, CalculationType>
+{
+ typedef strategy::envelope::geographic_segment
+ <
+ strategy::andoyer,
+ srs::spheroid<double>,
+ CalculationType
+ > type;
+};
+
+}
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::envelope
+
+}} //namepsace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_ENVELOPE_SEGMENT_HPP
diff --git a/boost/geometry/strategies/geographic/intersection.hpp b/boost/geometry/strategies/geographic/intersection.hpp
new file mode 100644
index 0000000000..1708c274c0
--- /dev/null
+++ b/boost/geometry/strategies/geographic/intersection.hpp
@@ -0,0 +1,897 @@
+// Boost.Geometry
+
+// 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,
+// 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_GEOGRAPHIC_INTERSECTION_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_INTERSECTION_HPP
+
+#include <algorithm>
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/core/srs.hpp>
+#include <boost/geometry/core/tags.hpp>
+
+#include <boost/geometry/algorithms/detail/assign_values.hpp>
+#include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
+#include <boost/geometry/algorithms/detail/equals/point_point.hpp>
+#include <boost/geometry/algorithms/detail/recalculate.hpp>
+
+#include <boost/geometry/formulas/andoyer_inverse.hpp>
+#include <boost/geometry/formulas/sjoberg_intersection.hpp>
+#include <boost/geometry/formulas/spherical.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+#include <boost/geometry/geometries/concepts/segment_concept.hpp>
+
+#include <boost/geometry/policies/robustness/segment_ratio.hpp>
+
+#include <boost/geometry/strategies/geographic/area.hpp>
+#include <boost/geometry/strategies/geographic/distance.hpp>
+#include <boost/geometry/strategies/geographic/parameters.hpp>
+#include <boost/geometry/strategies/geographic/side.hpp>
+#include <boost/geometry/strategies/intersection.hpp>
+#include <boost/geometry/strategies/intersection_result.hpp>
+#include <boost/geometry/strategies/side_info.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace intersection
+{
+
+// CONSIDER: Improvement of the robustness/accuracy/repeatability by
+// moving all segments to 0 longitude
+// picking latitudes closer to 0
+// etc.
+
+template
+<
+ typename FormulaPolicy = strategy::andoyer,
+ unsigned int Order = strategy::default_order<FormulaPolicy>::value,
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+struct geographic_segments
+{
+ typedef side::geographic
+ <
+ FormulaPolicy, Spheroid, CalculationType
+ > side_strategy_type;
+
+ inline side_strategy_type get_side_strategy() const
+ {
+ return side_strategy_type(m_spheroid);
+ }
+
+ 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>
+ inline typename point_in_geometry_strategy<Geometry1, Geometry2>::type
+ get_point_in_geometry_strategy() const
+ {
+ typedef typename point_in_geometry_strategy
+ <
+ Geometry1, Geometry2
+ >::type strategy_type;
+ return strategy_type(get_side_strategy());
+ }
+
+ template <typename Geometry>
+ struct area_strategy
+ {
+ typedef area::geographic
+ <
+ typename point_type<Geometry>::type,
+ FormulaPolicy,
+ Order,
+ Spheroid,
+ CalculationType
+ > type;
+ };
+
+ template <typename Geometry>
+ inline typename area_strategy<Geometry>::type get_area_strategy() const
+ {
+ typedef typename area_strategy<Geometry>::type strategy_type;
+ return strategy_type(m_spheroid);
+ }
+
+ template <typename Geometry>
+ struct distance_strategy
+ {
+ typedef distance::geographic
+ <
+ FormulaPolicy,
+ Spheroid,
+ CalculationType
+ > type;
+ };
+
+ template <typename Geometry>
+ inline typename distance_strategy<Geometry>::type get_distance_strategy() const
+ {
+ typedef typename distance_strategy<Geometry>::type strategy_type;
+ return strategy_type(m_spheroid);
+ }
+
+ enum intersection_point_flag { ipi_inters = 0, ipi_at_a1, ipi_at_a2, ipi_at_b1, ipi_at_b2 };
+
+ template <typename CoordinateType, typename SegmentRatio>
+ struct segment_intersection_info
+ {
+ typedef typename select_most_precise
+ <
+ CoordinateType, double
+ >::type promoted_type;
+
+ promoted_type comparable_length_a() const
+ {
+ return robust_ra.denominator();
+ }
+
+ promoted_type comparable_length_b() const
+ {
+ return robust_rb.denominator();
+ }
+
+ template <typename Point, typename Segment1, typename Segment2>
+ void assign_a(Point& point, Segment1 const& a, Segment2 const& b) const
+ {
+ assign(point, a, b);
+ }
+ template <typename Point, typename Segment1, typename Segment2>
+ void assign_b(Point& point, Segment1 const& a, Segment2 const& b) const
+ {
+ assign(point, a, b);
+ }
+
+ template <typename Point, typename Segment1, typename Segment2>
+ void assign(Point& point, Segment1 const& a, Segment2 const& b) const
+ {
+ if (ip_flag == ipi_inters)
+ {
+ // TODO: assign the rest of coordinates
+ set_from_radian<0>(point, lon);
+ set_from_radian<1>(point, lat);
+ }
+ else if (ip_flag == ipi_at_a1)
+ {
+ detail::assign_point_from_index<0>(a, point);
+ }
+ else if (ip_flag == ipi_at_a2)
+ {
+ detail::assign_point_from_index<1>(a, point);
+ }
+ else if (ip_flag == ipi_at_b1)
+ {
+ detail::assign_point_from_index<0>(b, point);
+ }
+ else // ip_flag == ipi_at_b2
+ {
+ detail::assign_point_from_index<1>(b, point);
+ }
+ }
+
+ CoordinateType lon;
+ CoordinateType lat;
+ SegmentRatio robust_ra;
+ SegmentRatio robust_rb;
+ intersection_point_flag ip_flag;
+ };
+
+ explicit geographic_segments(Spheroid const& spheroid = Spheroid())
+ : m_spheroid(spheroid)
+ {}
+
+ // Relate segments a and b
+ template
+ <
+ typename Segment1,
+ typename Segment2,
+ typename Policy,
+ typename RobustPolicy
+ >
+ inline typename Policy::return_type apply(Segment1 const& a, Segment2 const& b,
+ Policy const& policy,
+ RobustPolicy const& robust_policy) const
+ {
+ typedef typename point_type<Segment1>::type point1_t;
+ typedef typename point_type<Segment2>::type point2_t;
+ point1_t a1, a2;
+ point2_t b1, b2;
+
+ detail::assign_point_from_index<0>(a, a1);
+ detail::assign_point_from_index<1>(a, a2);
+ detail::assign_point_from_index<0>(b, b1);
+ detail::assign_point_from_index<1>(b, b2);
+
+ return apply(a, b, policy, robust_policy, a1, a2, b1, b2);
+ }
+
+ // Relate segments a and b
+ template
+ <
+ typename Segment1,
+ typename Segment2,
+ typename Policy,
+ typename RobustPolicy,
+ typename Point1,
+ typename Point2
+ >
+ inline typename Policy::return_type apply(Segment1 const& a, Segment2 const& b,
+ Policy const&, RobustPolicy const&,
+ Point1 a1, Point1 a2, Point2 b1, Point2 b2) const
+ {
+ bool is_a_reversed = get<1>(a1) > get<1>(a2);
+ bool is_b_reversed = get<1>(b1) > get<1>(b2);
+
+ if (is_a_reversed)
+ {
+ std::swap(a1, a2);
+ }
+
+ if (is_b_reversed)
+ {
+ std::swap(b1, b2);
+ }
+
+ return apply<Policy>(a, b, a1, a2, b1, b2, is_a_reversed, is_b_reversed);
+ }
+
+private:
+ // Relate segments a and b
+ template
+ <
+ typename Policy,
+ typename Segment1,
+ typename Segment2,
+ typename Point1,
+ typename Point2
+ >
+ inline typename Policy::return_type apply(Segment1 const& a, Segment2 const& b,
+ Point1 const& a1, Point1 const& a2,
+ Point2 const& b1, Point2 const& b2,
+ bool is_a_reversed, bool is_b_reversed) const
+ {
+ BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment1>) );
+ BOOST_CONCEPT_ASSERT( (concepts::ConstSegment<Segment2>) );
+
+ typedef typename select_calculation_type
+ <Segment1, Segment2, CalculationType>::type calc_t;
+
+ // normalized spheroid
+ srs::spheroid<calc_t> spheroid = normalized_spheroid<calc_t>(m_spheroid);
+
+ // TODO: check only 2 first coordinates here?
+ using geometry::detail::equals::equals_point_point;
+ bool a_is_point = equals_point_point(a1, a2);
+ bool b_is_point = equals_point_point(b1, b2);
+
+ if(a_is_point && b_is_point)
+ {
+ return equals_point_point(a1, b2)
+ ? Policy::degenerate(a, true)
+ : Policy::disjoint()
+ ;
+ }
+
+ calc_t const a1_lon = get_as_radian<0>(a1);
+ calc_t const a1_lat = get_as_radian<1>(a1);
+ calc_t const a2_lon = get_as_radian<0>(a2);
+ calc_t const a2_lat = get_as_radian<1>(a2);
+ calc_t const b1_lon = get_as_radian<0>(b1);
+ calc_t const b1_lat = get_as_radian<1>(b1);
+ calc_t const b2_lon = get_as_radian<0>(b2);
+ calc_t const b2_lat = get_as_radian<1>(b2);
+
+ side_info sides;
+
+ // NOTE: potential optimization, don't calculate distance at this point
+ // this would require to reimplement inverse strategy to allow
+ // calculation of distance if needed, probably also storing intermediate
+ // results somehow inside an object.
+ typedef typename FormulaPolicy::template inverse<calc_t, true, true, false, false, false> inverse_dist_azi;
+ typedef typename inverse_dist_azi::result_type inverse_result;
+
+ // TODO: no need to call inverse formula if we know that the points are equal
+ // distance can be set to 0 in this case and azimuth may be not calculated
+ bool const is_equal_a1_b1 = equals_point_point(a1, b1);
+ bool const is_equal_a2_b1 = equals_point_point(a2, b1);
+
+ inverse_result res_b1_b2 = inverse_dist_azi::apply(b1_lon, b1_lat, b2_lon, b2_lat, spheroid);
+ inverse_result res_b1_a1 = inverse_dist_azi::apply(b1_lon, b1_lat, a1_lon, a1_lat, spheroid);
+ inverse_result res_b1_a2 = inverse_dist_azi::apply(b1_lon, b1_lat, a2_lon, a2_lat, spheroid);
+ sides.set<0>(is_equal_a1_b1 ? 0 : formula::azimuth_side_value(res_b1_a1.azimuth, res_b1_b2.azimuth),
+ is_equal_a2_b1 ? 0 : formula::azimuth_side_value(res_b1_a2.azimuth, res_b1_b2.azimuth));
+ if (sides.same<0>())
+ {
+ // Both points are at the same side of other segment, we can leave
+ return Policy::disjoint();
+ }
+
+ bool const is_equal_a1_b2 = equals_point_point(a1, b2);
+
+ inverse_result res_a1_a2 = inverse_dist_azi::apply(a1_lon, a1_lat, a2_lon, a2_lat, spheroid);
+ inverse_result res_a1_b1 = inverse_dist_azi::apply(a1_lon, a1_lat, b1_lon, b1_lat, spheroid);
+ inverse_result res_a1_b2 = inverse_dist_azi::apply(a1_lon, a1_lat, b2_lon, b2_lat, spheroid);
+ sides.set<1>(is_equal_a1_b1 ? 0 : formula::azimuth_side_value(res_a1_b1.azimuth, res_a1_a2.azimuth),
+ is_equal_a1_b2 ? 0 : formula::azimuth_side_value(res_a1_b2.azimuth, res_a1_a2.azimuth));
+ if (sides.same<1>())
+ {
+ // Both points are at the same side of other segment, we can leave
+ return Policy::disjoint();
+ }
+
+ // NOTE: at this point the segments may still be disjoint
+ // NOTE: at this point one of the segments may be degenerated
+
+ bool collinear = sides.collinear();
+
+ if (! collinear)
+ {
+ // WARNING: the side strategy doesn't have the info about the other
+ // segment so it may return results inconsistent with this intersection
+ // strategy, as it checks both segments for consistency
+
+ if (sides.get<0, 0>() == 0 && sides.get<0, 1>() == 0)
+ {
+ collinear = true;
+ sides.set<1>(0, 0);
+ }
+ else if (sides.get<1, 0>() == 0 && sides.get<1, 1>() == 0)
+ {
+ collinear = true;
+ sides.set<0>(0, 0);
+ }
+ }
+
+ if (collinear)
+ {
+ if (a_is_point)
+ {
+ return collinear_one_degenerated<Policy, calc_t>(a, true, b1, b2, a1, a2, res_b1_b2, res_b1_a1, is_b_reversed);
+ }
+ else if (b_is_point)
+ {
+ return collinear_one_degenerated<Policy, calc_t>(b, false, a1, a2, b1, b2, res_a1_a2, res_a1_b1, is_a_reversed);
+ }
+ else
+ {
+ calc_t dist_a1_a2, dist_a1_b1, dist_a1_b2;
+ calc_t dist_b1_b2, dist_b1_a1, dist_b1_a2;
+ // use shorter segment
+ if (res_a1_a2.distance <= res_b1_b2.distance)
+ {
+ calculate_collinear_data(a1, a2, b1, b2, res_a1_a2, res_a1_b1, dist_a1_a2, dist_a1_b1);
+ calculate_collinear_data(a1, a2, b1, b2, res_a1_a2, res_a1_b2, dist_a1_a2, dist_a1_b2);
+ dist_b1_b2 = dist_a1_b2 - dist_a1_b1;
+ dist_b1_a1 = -dist_a1_b1;
+ dist_b1_a2 = dist_a1_a2 - dist_a1_b1;
+ }
+ else
+ {
+ calculate_collinear_data(b1, b2, a1, a2, res_b1_b2, res_b1_a1, dist_b1_b2, dist_b1_a1);
+ calculate_collinear_data(b1, b2, a1, a2, res_b1_b2, res_b1_a2, dist_b1_b2, dist_b1_a2);
+ dist_a1_a2 = dist_b1_a2 - dist_b1_a1;
+ dist_a1_b1 = -dist_b1_a1;
+ dist_a1_b2 = dist_b1_b2 - dist_b1_a1;
+ }
+
+ // NOTE: this is probably not needed
+ calc_t const c0 = 0;
+ int a1_on_b = position_value(c0, dist_a1_b1, dist_a1_b2);
+ int a2_on_b = position_value(dist_a1_a2, dist_a1_b1, dist_a1_b2);
+ int b1_on_a = position_value(c0, dist_b1_a1, dist_b1_a2);
+ int b2_on_a = position_value(dist_b1_b2, dist_b1_a1, dist_b1_a2);
+
+ if ((a1_on_b < 1 && a2_on_b < 1) || (a1_on_b > 3 && a2_on_b > 3))
+ {
+ return Policy::disjoint();
+ }
+
+ if (a1_on_b == 1)
+ {
+ dist_b1_a1 = 0;
+ dist_a1_b1 = 0;
+ }
+ else if (a1_on_b == 3)
+ {
+ dist_b1_a1 = dist_b1_b2;
+ dist_a1_b2 = 0;
+ }
+
+ if (a2_on_b == 1)
+ {
+ dist_b1_a2 = 0;
+ dist_a1_b1 = dist_a1_a2;
+ }
+ else if (a2_on_b == 3)
+ {
+ dist_b1_a2 = dist_b1_b2;
+ dist_a1_b2 = dist_a1_a2;
+ }
+
+ bool opposite = ! same_direction(res_a1_a2.azimuth, res_b1_b2.azimuth);
+
+ // NOTE: If segment was reversed opposite, positions and segment ratios has to be altered
+ if (is_a_reversed)
+ {
+ // opposite
+ opposite = ! opposite;
+ // positions
+ std::swap(a1_on_b, a2_on_b);
+ b1_on_a = 4 - b1_on_a;
+ b2_on_a = 4 - b2_on_a;
+ // distances for ratios
+ std::swap(dist_b1_a1, dist_b1_a2);
+ dist_a1_b1 = dist_a1_a2 - dist_a1_b1;
+ dist_a1_b2 = dist_a1_a2 - dist_a1_b2;
+ }
+ if (is_b_reversed)
+ {
+ // opposite
+ opposite = ! opposite;
+ // positions
+ a1_on_b = 4 - a1_on_b;
+ a2_on_b = 4 - a2_on_b;
+ std::swap(b1_on_a, b2_on_a);
+ // distances for ratios
+ dist_b1_a1 = dist_b1_b2 - dist_b1_a1;
+ dist_b1_a2 = dist_b1_b2 - dist_b1_a2;
+ std::swap(dist_a1_b1, dist_a1_b2);
+ }
+
+ segment_ratio<calc_t> ra_from(dist_b1_a1, dist_b1_b2);
+ segment_ratio<calc_t> ra_to(dist_b1_a2, dist_b1_b2);
+ segment_ratio<calc_t> rb_from(dist_a1_b1, dist_a1_a2);
+ segment_ratio<calc_t> rb_to(dist_a1_b2, dist_a1_a2);
+
+ return Policy::segments_collinear(a, b, opposite,
+ a1_on_b, a2_on_b, b1_on_a, b2_on_a,
+ ra_from, ra_to, rb_from, rb_to);
+ }
+ }
+ else // crossing or touching
+ {
+ if (a_is_point || b_is_point)
+ {
+ return Policy::disjoint();
+ }
+
+ calc_t lon = 0, lat = 0;
+ intersection_point_flag ip_flag;
+ calc_t dist_a1_a2, dist_a1_i1, dist_b1_b2, dist_b1_i1;
+ if (calculate_ip_data(a1, a2, b1, b2,
+ a1_lon, a1_lat, a2_lon, a2_lat,
+ b1_lon, b1_lat, b2_lon, b2_lat,
+ res_a1_a2, res_a1_b1, res_a1_b2,
+ res_b1_b2, res_b1_a1, res_b1_a2,
+ sides, spheroid,
+ lon, lat,
+ dist_a1_a2, dist_a1_i1, dist_b1_b2, dist_b1_i1,
+ ip_flag))
+ {
+ // NOTE: If segment was reversed sides and segment ratios has to be altered
+ if (is_a_reversed)
+ {
+ // sides
+ sides_reverse_segment<0>(sides);
+ // distance for ratio
+ dist_a1_i1 = dist_a1_a2 - dist_a1_i1;
+ // ip flag
+ ip_flag_reverse_segment(ip_flag, ipi_at_a1, ipi_at_a2);
+ }
+ if (is_b_reversed)
+ {
+ // sides
+ sides_reverse_segment<1>(sides);
+ // distance for ratio
+ dist_b1_i1 = dist_b1_b2 - dist_b1_i1;
+ // ip flag
+ ip_flag_reverse_segment(ip_flag, ipi_at_b1, ipi_at_b2);
+ }
+
+ // intersects
+ segment_intersection_info
+ <
+ calc_t,
+ segment_ratio<calc_t>
+ > sinfo;
+
+ sinfo.lon = lon;
+ sinfo.lat = lat;
+ sinfo.robust_ra.assign(dist_a1_i1, dist_a1_a2);
+ sinfo.robust_rb.assign(dist_b1_i1, dist_b1_b2);
+ sinfo.ip_flag = ip_flag;
+
+ return Policy::segments_crosses(sides, sinfo, a, b);
+ }
+ else
+ {
+ return Policy::disjoint();
+ }
+ }
+ }
+
+ template <typename Policy, typename CalcT, typename Segment, typename Point1, typename Point2, typename ResultInverse>
+ static inline typename Policy::return_type
+ collinear_one_degenerated(Segment const& segment, bool degenerated_a,
+ Point1 const& a1, Point1 const& a2,
+ Point2 const& b1, Point2 const& b2,
+ ResultInverse const& res_a1_a2,
+ ResultInverse const& res_a1_bi,
+ bool is_other_reversed)
+ {
+ CalcT dist_1_2, dist_1_o;
+ if (! calculate_collinear_data(a1, a2, b1, b2, res_a1_a2, res_a1_bi, dist_1_2, dist_1_o))
+ {
+ return Policy::disjoint();
+ }
+
+ // NOTE: If segment was reversed segment ratio has to be altered
+ if (is_other_reversed)
+ {
+ // distance for ratio
+ dist_1_o = dist_1_2 - dist_1_o;
+ }
+
+ return Policy::one_degenerate(segment, segment_ratio<CalcT>(dist_1_o, dist_1_2), degenerated_a);
+ }
+
+ // TODO: instead of checks below test bi against a1 and a2 here?
+ // in order to make this independent from is_near()
+ template <typename Point1, typename Point2, typename ResultInverse, typename CalcT>
+ static inline bool calculate_collinear_data(Point1 const& a1, Point1 const& a2, // in
+ Point2 const& b1, Point2 const& b2, // in
+ ResultInverse const& res_a1_a2, // in
+ ResultInverse const& res_a1_bi, // in
+ CalcT& dist_a1_a2, CalcT& dist_a1_bi) // out
+ {
+ dist_a1_a2 = res_a1_a2.distance;
+
+ dist_a1_bi = res_a1_bi.distance;
+ if (! same_direction(res_a1_bi.azimuth, res_a1_a2.azimuth))
+ {
+ dist_a1_bi = -dist_a1_bi;
+ }
+
+ // if i1 is close to a1 and b1 or b2 is equal to a1
+ if (is_endpoint_equal(dist_a1_bi, a1, b1, b2))
+ {
+ dist_a1_bi = 0;
+ return true;
+ }
+ // or i1 is close to a2 and b1 or b2 is equal to a2
+ else if (is_endpoint_equal(dist_a1_a2 - dist_a1_bi, a2, b1, b2))
+ {
+ dist_a1_bi = dist_a1_a2;
+ return true;
+ }
+
+ // or i1 is on b
+ return segment_ratio<CalcT>(dist_a1_bi, dist_a1_a2).on_segment();
+ }
+
+ template <typename Point1, typename Point2, typename CalcT, typename ResultInverse, typename Spheroid_>
+ static inline bool calculate_ip_data(Point1 const& a1, Point1 const& a2, // in
+ Point2 const& b1, Point2 const& b2, // in
+ CalcT const& a1_lon, CalcT const& a1_lat, // in
+ CalcT const& a2_lon, CalcT const& a2_lat, // in
+ CalcT const& b1_lon, CalcT const& b1_lat, // in
+ CalcT const& b2_lon, CalcT const& b2_lat, // in
+ ResultInverse const& res_a1_a2, // in
+ ResultInverse const& res_a1_b1, // in
+ ResultInverse const& res_a1_b2, // in
+ ResultInverse const& res_b1_b2, // in
+ ResultInverse const& res_b1_a1, // in
+ ResultInverse const& res_b1_a2, // in
+ side_info const& sides, // in
+ Spheroid_ const& spheroid, // in
+ CalcT & lon, CalcT & lat, // out
+ CalcT& dist_a1_a2, CalcT& dist_a1_ip, // out
+ CalcT& dist_b1_b2, CalcT& dist_b1_ip, // out
+ intersection_point_flag& ip_flag) // out
+ {
+ dist_a1_a2 = res_a1_a2.distance;
+ dist_b1_b2 = res_b1_b2.distance;
+
+ // assign the IP if some endpoints overlap
+ using geometry::detail::equals::equals_point_point;
+ if (equals_point_point(a1, b1))
+ {
+ lon = a1_lon;
+ lat = a1_lat;
+ dist_a1_ip = 0;
+ dist_b1_ip = 0;
+ ip_flag = ipi_at_a1;
+ return true;
+ }
+ else if (equals_point_point(a1, b2))
+ {
+ lon = a1_lon;
+ lat = a1_lat;
+ dist_a1_ip = 0;
+ dist_b1_ip = dist_b1_b2;
+ ip_flag = ipi_at_a1;
+ return true;
+ }
+ else if (equals_point_point(a2, b1))
+ {
+ lon = a2_lon;
+ lat = a2_lat;
+ dist_a1_ip = dist_a1_a2;
+ dist_b1_ip = 0;
+ ip_flag = ipi_at_a2;
+ return true;
+ }
+ else if (equals_point_point(a2, b2))
+ {
+ lon = a2_lon;
+ lat = a2_lat;
+ dist_a1_ip = dist_a1_a2;
+ dist_b1_ip = dist_b1_b2;
+ ip_flag = ipi_at_a2;
+ return true;
+ }
+
+ // at this point we know that the endpoints doesn't overlap
+ // check cases when an endpoint lies on the other geodesic
+ if (sides.template get<0, 0>() == 0) // a1 wrt b
+ {
+ if (res_b1_a1.distance <= res_b1_b2.distance
+ && same_direction(res_b1_a1.azimuth, res_b1_b2.azimuth))
+ {
+ lon = a1_lon;
+ lat = a1_lat;
+ dist_a1_ip = 0;
+ dist_b1_ip = res_b1_a1.distance;
+ ip_flag = ipi_at_a1;
+ return true;
+ }
+ else
+ {
+ return false;
+ }
+ }
+ else if (sides.template get<0, 1>() == 0) // a2 wrt b
+ {
+ if (res_b1_a2.distance <= res_b1_b2.distance
+ && same_direction(res_b1_a2.azimuth, res_b1_b2.azimuth))
+ {
+ lon = a2_lon;
+ lat = a2_lat;
+ dist_a1_ip = res_a1_a2.distance;
+ dist_b1_ip = res_b1_a2.distance;
+ ip_flag = ipi_at_a2;
+ return true;
+ }
+ else
+ {
+ return false;
+ }
+ }
+ else if (sides.template get<1, 0>() == 0) // b1 wrt a
+ {
+ if (res_a1_b1.distance <= res_a1_a2.distance
+ && same_direction(res_a1_b1.azimuth, res_a1_a2.azimuth))
+ {
+ lon = b1_lon;
+ lat = b1_lat;
+ dist_a1_ip = res_a1_b1.distance;
+ dist_b1_ip = 0;
+ ip_flag = ipi_at_b1;
+ return true;
+ }
+ else
+ {
+ return false;
+ }
+ }
+ else if (sides.template get<1, 1>() == 0) // b2 wrt a
+ {
+ if (res_a1_b2.distance <= res_a1_a2.distance
+ && same_direction(res_a1_b2.azimuth, res_a1_a2.azimuth))
+ {
+ lon = b2_lon;
+ lat = b2_lat;
+ dist_a1_ip = res_a1_b2.distance;
+ dist_b1_ip = res_b1_b2.distance;
+ ip_flag = ipi_at_b2;
+ return true;
+ }
+ else
+ {
+ return false;
+ }
+ }
+
+ // At this point neither the endpoints overlaps
+ // nor any andpoint lies on the other geodesic
+ // So the endpoints should lie on the opposite sides of both geodesics
+
+ bool const ok = formula::sjoberg_intersection<CalcT, FormulaPolicy::template inverse, Order>
+ ::apply(a1_lon, a1_lat, a2_lon, a2_lat, res_a1_a2.azimuth,
+ b1_lon, b1_lat, b2_lon, b2_lat, res_b1_b2.azimuth,
+ lon, lat, spheroid);
+
+ if (! ok)
+ {
+ return false;
+ }
+
+ typedef typename FormulaPolicy::template inverse<CalcT, true, true, false, false, false> inverse_dist_azi;
+ typedef typename inverse_dist_azi::result_type inverse_result;
+
+ inverse_result const res_a1_ip = inverse_dist_azi::apply(a1_lon, a1_lat, lon, lat, spheroid);
+ dist_a1_ip = res_a1_ip.distance;
+ if (! same_direction(res_a1_ip.azimuth, res_a1_a2.azimuth))
+ {
+ dist_a1_ip = -dist_a1_ip;
+ }
+
+ bool is_on_a = segment_ratio<CalcT>(dist_a1_ip, dist_a1_a2).on_segment();
+ // NOTE: not fully consistent with equals_point_point() since radians are always used.
+ bool is_on_a1 = math::equals(lon, a1_lon) && math::equals(lat, a1_lat);
+ bool is_on_a2 = math::equals(lon, a2_lon) && math::equals(lat, a2_lat);
+
+ if (! (is_on_a || is_on_a1 || is_on_a2))
+ {
+ return false;
+ }
+
+ inverse_result const res_b1_ip = inverse_dist_azi::apply(b1_lon, b1_lat, lon, lat, spheroid);
+ dist_b1_ip = res_b1_ip.distance;
+ if (! same_direction(res_b1_ip.azimuth, res_b1_b2.azimuth))
+ {
+ dist_b1_ip = -dist_b1_ip;
+ }
+
+ bool is_on_b = segment_ratio<CalcT>(dist_b1_ip, dist_b1_b2).on_segment();
+ // NOTE: not fully consistent with equals_point_point() since radians are always used.
+ bool is_on_b1 = math::equals(lon, b1_lon) && math::equals(lat, b1_lat);
+ bool is_on_b2 = math::equals(lon, b2_lon) && math::equals(lat, b2_lat);
+
+ if (! (is_on_b || is_on_b1 || is_on_b2))
+ {
+ return false;
+ }
+
+ ip_flag = ipi_inters;
+
+ if (is_on_b1)
+ {
+ lon = b1_lon;
+ lat = b1_lat;
+ dist_b1_ip = 0;
+ ip_flag = ipi_at_b1;
+ }
+ else if (is_on_b2)
+ {
+ lon = b2_lon;
+ lat = b2_lat;
+ dist_b1_ip = res_b1_b2.distance;
+ ip_flag = ipi_at_b2;
+ }
+
+ if (is_on_a1)
+ {
+ lon = a1_lon;
+ lat = a1_lat;
+ dist_a1_ip = 0;
+ ip_flag = ipi_at_a1;
+ }
+ else if (is_on_a2)
+ {
+ lon = a2_lon;
+ lat = a2_lat;
+ dist_a1_ip = res_a1_a2.distance;
+ ip_flag = ipi_at_a2;
+ }
+
+ return true;
+ }
+
+ template <typename CalcT, typename P1, typename P2>
+ static inline bool is_endpoint_equal(CalcT const& dist,
+ P1 const& ai, P2 const& b1, P2 const& b2)
+ {
+ using geometry::detail::equals::equals_point_point;
+ return is_near(dist) && (equals_point_point(ai, b1) || equals_point_point(ai, b2));
+ }
+
+ template <typename CalcT>
+ static inline bool is_near(CalcT const& dist)
+ {
+ // NOTE: This strongly depends on the Inverse method
+ CalcT const small_number = CalcT(boost::is_same<CalcT, float>::value ? 0.0001 : 0.00000001);
+ return math::abs(dist) <= small_number;
+ }
+
+ template <typename ProjCoord1, typename ProjCoord2>
+ static inline int position_value(ProjCoord1 const& ca1,
+ ProjCoord2 const& cb1,
+ ProjCoord2 const& cb2)
+ {
+ // S1x 0 1 2 3 4
+ // S2 |---------->
+ return math::equals(ca1, cb1) ? 1
+ : math::equals(ca1, cb2) ? 3
+ : cb1 < cb2 ?
+ ( ca1 < cb1 ? 0
+ : ca1 > cb2 ? 4
+ : 2 )
+ : ( ca1 > cb1 ? 0
+ : ca1 < cb2 ? 4
+ : 2 );
+ }
+
+ template <typename CalcT>
+ static inline bool same_direction(CalcT const& azimuth1, CalcT const& azimuth2)
+ {
+ // distance between two angles normalized to (-180, 180]
+ CalcT const angle_diff = math::longitude_distance_signed<radian>(azimuth1, azimuth2);
+ return math::abs(angle_diff) <= math::half_pi<CalcT>();
+ }
+
+ template <int Which>
+ static inline void sides_reverse_segment(side_info & sides)
+ {
+ // names assuming segment A is reversed (Which == 0)
+ int a1_wrt_b = sides.template get<Which, 0>();
+ int a2_wrt_b = sides.template get<Which, 1>();
+ std::swap(a1_wrt_b, a2_wrt_b);
+ sides.template set<Which>(a1_wrt_b, a2_wrt_b);
+ int b1_wrt_a = sides.template get<1 - Which, 0>();
+ int b2_wrt_a = sides.template get<1 - Which, 1>();
+ sides.template set<1 - Which>(-b1_wrt_a, -b2_wrt_a);
+ }
+
+ static inline void ip_flag_reverse_segment(intersection_point_flag & ip_flag,
+ intersection_point_flag const& ipi_at_p1,
+ intersection_point_flag const& ipi_at_p2)
+ {
+ ip_flag = ip_flag == ipi_at_p1 ? ipi_at_p2 :
+ ip_flag == ipi_at_p2 ? ipi_at_p1 :
+ ip_flag;
+ }
+
+ template <typename CalcT, typename SpheroidT>
+ static inline srs::spheroid<CalcT> normalized_spheroid(SpheroidT const& spheroid)
+ {
+ return srs::spheroid<CalcT>(CalcT(1),
+ CalcT(get_radius<2>(spheroid)) // b/a
+ / CalcT(get_radius<0>(spheroid)));
+ }
+
+private:
+ Spheroid m_spheroid;
+};
+
+
+}} // namespace strategy::intersection
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_INTERSECTION_HPP
diff --git a/boost/geometry/strategies/geographic/intersection_elliptic.hpp b/boost/geometry/strategies/geographic/intersection_elliptic.hpp
new file mode 100644
index 0000000000..76e9940fe3
--- /dev/null
+++ b/boost/geometry/strategies/geographic/intersection_elliptic.hpp
@@ -0,0 +1,243 @@
+// Boost.Geometry
+
+// 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,
+// 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_GEOGRAPHIC_INTERSECTION_ELLIPTIC_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_INTERSECTION_ELLIPTIC_HPP
+
+
+#include <boost/geometry/core/srs.hpp>
+
+#include <boost/geometry/formulas/geographic.hpp>
+
+#include <boost/geometry/strategies/spherical/intersection.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace intersection
+{
+
+template <typename Spheroid>
+struct great_elliptic_segments_calc_policy
+ : spherical_segments_calc_policy
+{
+ explicit great_elliptic_segments_calc_policy(Spheroid const& spheroid = Spheroid())
+ : m_spheroid(spheroid)
+ {}
+
+ template <typename Point, typename Point3d>
+ Point from_cart3d(Point3d const& point_3d) const
+ {
+ return formula::cart3d_to_geo<Point>(point_3d, m_spheroid);
+ }
+
+ template <typename Point3d, typename Point>
+ Point3d to_cart3d(Point const& point) const
+ {
+ return formula::geo_to_cart3d<Point3d>(point, m_spheroid);
+ }
+
+ // relate_xxx_calc_policy must live londer than plane because it contains
+ // Spheroid object and plane keeps the reference to that object.
+ template <typename Point3d>
+ struct plane
+ {
+ typedef typename coordinate_type<Point3d>::type coord_t;
+
+ // not normalized
+ plane(Point3d const& p1, Point3d const& p2)
+ : normal(cross_product(p1, p2))
+ {}
+
+ int side_value(Point3d const& pt) const
+ {
+ return formula::sph_side_value(normal, pt);
+ }
+
+ coord_t cos_angle_between(Point3d const& p1, Point3d const& p2) const
+ {
+ Point3d v1 = p1;
+ detail::vec_normalize(v1);
+ Point3d v2 = p2;
+ detail::vec_normalize(v2);
+
+ return dot_product(v1, v2);
+ }
+
+ coord_t cos_angle_between(Point3d const& p1, Point3d const& p2, bool & is_forward) const
+ {
+ coord_t const c0 = 0;
+
+ Point3d v1 = p1;
+ detail::vec_normalize(v1);
+ Point3d v2 = p2;
+ detail::vec_normalize(v2);
+
+ is_forward = dot_product(normal, cross_product(v1, v2)) >= c0;
+ return dot_product(v1, v2);
+ }
+
+ Point3d normal;
+ };
+
+ template <typename Point3d>
+ plane<Point3d> get_plane(Point3d const& p1, Point3d const& p2) const
+ {
+ return plane<Point3d>(p1, p2);
+ }
+
+ template <typename Point3d>
+ bool intersection_points(plane<Point3d> const& plane1,
+ plane<Point3d> const& plane2,
+ Point3d & ip1, Point3d & ip2) const
+ {
+ typedef typename coordinate_type<Point3d>::type coord_t;
+
+ Point3d id = cross_product(plane1.normal, plane2.normal);
+ // NOTE: the length should be greater than 0 at this point
+ // NOTE: no need to normalize in this case
+
+ ip1 = formula::projected_to_surface(id, m_spheroid);
+
+ ip2 = ip1;
+ multiply_value(ip2, coord_t(-1));
+
+ return true;
+ }
+
+private:
+ Spheroid m_spheroid;
+};
+
+template <typename Spheroid>
+struct experimental_elliptic_segments_calc_policy
+{
+ explicit experimental_elliptic_segments_calc_policy(Spheroid const& spheroid = Spheroid())
+ : m_spheroid(spheroid)
+ {}
+
+ template <typename Point, typename Point3d>
+ Point from_cart3d(Point3d const& point_3d) const
+ {
+ return formula::cart3d_to_geo<Point>(point_3d, m_spheroid);
+ }
+
+ template <typename Point3d, typename Point>
+ Point3d to_cart3d(Point const& point) const
+ {
+ return formula::geo_to_cart3d<Point3d>(point, m_spheroid);
+ }
+
+ // relate_xxx_calc_policy must live londer than plane because it contains
+ // Spheroid object and plane keeps the reference to that object.
+ template <typename Point3d>
+ struct plane
+ {
+ typedef typename coordinate_type<Point3d>::type coord_t;
+
+ // not normalized
+ plane(Point3d const& p1, Point3d const& p2, Spheroid const& spheroid)
+ : m_spheroid(spheroid)
+ {
+ formula::experimental_elliptic_plane(p1, p2, origin, normal, m_spheroid);
+ }
+
+ int side_value(Point3d const& pt) const
+ {
+ return formula::elliptic_side_value(origin, normal, pt);
+ }
+
+ coord_t cos_angle_between(Point3d const& p1, Point3d const& p2) const
+ {
+ Point3d const v1 = normalized_vec(p1);
+ Point3d const v2 = normalized_vec(p2);
+ return dot_product(v1, v2);
+ }
+
+ coord_t cos_angle_between(Point3d const& p1, Point3d const& p2, bool & is_forward) const
+ {
+ coord_t const c0 = 0;
+
+ Point3d const v1 = normalized_vec(p1);
+ Point3d const v2 = normalized_vec(p2);
+
+ is_forward = dot_product(normal, cross_product(v1, v2)) >= c0;
+ return dot_product(v1, v2);
+ }
+
+ Point3d origin;
+ Point3d normal;
+
+ private:
+ Point3d normalized_vec(Point3d const& p) const
+ {
+ Point3d v = p;
+ subtract_point(v, origin);
+ detail::vec_normalize(v);
+ return v;
+ }
+
+ Spheroid const& m_spheroid;
+ };
+
+ template <typename Point3d>
+ plane<Point3d> get_plane(Point3d const& p1, Point3d const& p2) const
+ {
+ return plane<Point3d>(p1, p2, m_spheroid);
+ }
+
+ template <typename Point3d>
+ bool intersection_points(plane<Point3d> const& plane1,
+ plane<Point3d> const& plane2,
+ Point3d & ip1, Point3d & ip2) const
+ {
+ return formula::planes_spheroid_intersection(plane1.origin, plane1.normal,
+ plane2.origin, plane2.normal,
+ ip1, ip2, m_spheroid);
+ }
+
+private:
+ Spheroid m_spheroid;
+};
+
+
+template
+<
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+struct great_elliptic_segments
+ : ecef_segments
+ <
+ great_elliptic_segments_calc_policy<Spheroid>,
+ CalculationType
+ >
+{};
+
+template
+<
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+struct experimental_elliptic_segments
+ : ecef_segments
+ <
+ experimental_elliptic_segments_calc_policy<Spheroid>,
+ CalculationType
+ >
+{};
+
+
+}} // namespace strategy::intersection
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_INTERSECTION_ELLIPTIC_HPP
diff --git a/boost/geometry/strategies/geographic/mapping_ssf.hpp b/boost/geometry/strategies/geographic/mapping_ssf.hpp
index 3beedc7809..20a0523616 100644
--- a/boost/geometry/strategies/geographic/mapping_ssf.hpp
+++ b/boost/geometry/strategies/geographic/mapping_ssf.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// This file was modified by Oracle on 2014.
-// Modifications copyright (c) 2014 Oracle and/or its affiliates.
+// This file was modified by Oracle on 2014, 2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -136,7 +136,7 @@ public :
{}
template <typename P1, typename P2, typename P>
- inline int apply(P1 const& p1, P2 const& p2, P const& p)
+ inline int apply(P1 const& p1, P2 const& p2, P const& p) const
{
typedef typename promote_floating_point
<
diff --git a/boost/geometry/strategies/geographic/parameters.hpp b/boost/geometry/strategies/geographic/parameters.hpp
new file mode 100644
index 0000000000..5638db50fa
--- /dev/null
+++ b/boost/geometry/strategies/geographic/parameters.hpp
@@ -0,0 +1,117 @@
+// Boost.Geometry
+
+// Copyright (c) 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,
+// 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_GEOGRAPHIC_PARAMETERS_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_PARAMETERS_HPP
+
+
+#include <boost/geometry/formulas/andoyer_inverse.hpp>
+#include <boost/geometry/formulas/thomas_inverse.hpp>
+#include <boost/geometry/formulas/vincenty_inverse.hpp>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/integral_c.hpp>
+
+
+namespace boost { namespace geometry { namespace strategy
+{
+
+struct andoyer
+{
+ template
+ <
+ typename CT,
+ bool EnableDistance,
+ bool EnableAzimuth,
+ bool EnableReverseAzimuth = false,
+ bool EnableReducedLength = false,
+ bool EnableGeodesicScale = false
+ >
+ struct inverse
+ : formula::andoyer_inverse
+ <
+ CT, EnableDistance,
+ EnableAzimuth, EnableReverseAzimuth,
+ EnableReducedLength, EnableGeodesicScale
+ >
+ {};
+};
+
+struct thomas
+{
+ template
+ <
+ typename CT,
+ bool EnableDistance,
+ bool EnableAzimuth,
+ bool EnableReverseAzimuth = false,
+ bool EnableReducedLength = false,
+ bool EnableGeodesicScale = false
+ >
+ struct inverse
+ : formula::thomas_inverse
+ <
+ CT, EnableDistance,
+ EnableAzimuth, EnableReverseAzimuth,
+ EnableReducedLength, EnableGeodesicScale
+ >
+ {};
+};
+
+struct vincenty
+{
+ template
+ <
+ typename CT,
+ bool EnableDistance,
+ bool EnableAzimuth,
+ bool EnableReverseAzimuth = false,
+ bool EnableReducedLength = false,
+ bool EnableGeodesicScale = false
+ >
+ struct inverse
+ : formula::vincenty_inverse
+ <
+ CT, EnableDistance,
+ EnableAzimuth, EnableReverseAzimuth,
+ EnableReducedLength, EnableGeodesicScale
+ >
+ {};
+};
+
+
+template <typename FormulaPolicy>
+struct default_order
+{
+ BOOST_MPL_ASSERT_MSG
+ (
+ false, NOT_IMPLEMENTED_FOR_THIS_TYPE
+ , (types<FormulaPolicy>)
+ );
+};
+
+template<>
+struct default_order<andoyer>
+ : boost::mpl::integral_c<unsigned int, 1>
+{};
+
+template<>
+struct default_order<thomas>
+ : boost::mpl::integral_c<unsigned int, 2>
+{};
+
+template<>
+struct default_order<vincenty>
+ : boost::mpl::integral_c<unsigned int, 4>
+{};
+
+}}} // namespace boost::geometry::strategy
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_PARAMETERS_HPP
diff --git a/boost/geometry/strategies/geographic/side.hpp b/boost/geometry/strategies/geographic/side.hpp
new file mode 100644
index 0000000000..0d40e4da20
--- /dev/null
+++ b/boost/geometry/strategies/geographic/side.hpp
@@ -0,0 +1,113 @@
+// Boost.Geometry
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2014-2017.
+// Modifications copyright (c) 2014-2017 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,
+// 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_GEOGRAPHIC_SIDE_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_HPP
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/radian_access.hpp>
+#include <boost/geometry/core/radius.hpp>
+#include <boost/geometry/core/srs.hpp>
+
+#include <boost/geometry/formulas/spherical.hpp>
+
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/promote_floating_point.hpp>
+#include <boost/geometry/util/select_calculation_type.hpp>
+
+#include <boost/geometry/strategies/geographic/parameters.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 segment a point lies
+ left of segment (> 0), right of segment (< 0), on segment (0)
+\ingroup strategies
+\tparam FormulaPolicy Geodesic solution formula policy.
+\tparam Spheroid Reference model of coordinate system.
+\tparam CalculationType \tparam_calculation
+ */
+template
+<
+ typename FormulaPolicy = strategy::andoyer,
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
+class geographic
+{
+public:
+ geographic()
+ {}
+
+ explicit geographic(Spheroid const& model)
+ : m_model(model)
+ {}
+
+ template <typename P1, typename P2, typename P>
+ inline int apply(P1 const& p1, P2 const& p2, P const& p) const
+ {
+ typedef typename promote_floating_point
+ <
+ typename select_calculation_type_alt
+ <
+ CalculationType,
+ P1, P2, P
+ >::type
+ >::type calc_t;
+
+ typedef typename FormulaPolicy::template inverse
+ <calc_t, false, true, false, false, false> inverse_formula;
+
+ calc_t a1p = azimuth<calc_t, inverse_formula>(p1, p, m_model);
+ calc_t a12 = azimuth<calc_t, inverse_formula>(p1, p2, m_model);
+
+ return formula::azimuth_side_value(a1p, a12);
+ }
+
+private:
+ template <typename ResultType,
+ typename InverseFormulaType,
+ typename Point1,
+ typename Point2,
+ typename ModelT>
+ static inline ResultType azimuth(Point1 const& point1, Point2 const& point2,
+ ModelT const& model)
+ {
+ return InverseFormulaType::apply(get_as_radian<0>(point1),
+ get_as_radian<1>(point1),
+ get_as_radian<0>(point2),
+ get_as_radian<1>(point2),
+ model).azimuth;
+ }
+
+ Spheroid m_model;
+};
+
+
+}} // namespace strategy::side
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_HPP
diff --git a/boost/geometry/strategies/geographic/side_andoyer.hpp b/boost/geometry/strategies/geographic/side_andoyer.hpp
index c3e71cd1cd..204e45f6e2 100644
--- a/boost/geometry/strategies/geographic/side_andoyer.hpp
+++ b/boost/geometry/strategies/geographic/side_andoyer.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// This file was modified by Oracle on 2014, 2015, 2016.
-// Modifications copyright (c) 2014-2016 Oracle and/or its affiliates.
+// This file was modified by Oracle on 2014-2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -15,9 +15,7 @@
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_ANDOYER_HPP
-#include <boost/geometry/formulas/andoyer_inverse.hpp>
-
-#include <boost/geometry/strategies/geographic/side_detail.hpp>
+#include <boost/geometry/strategies/geographic/side.hpp>
namespace boost { namespace geometry
@@ -31,17 +29,24 @@ 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 Model Reference model of coordinate system.
+\tparam Spheroid Reference model of coordinate system.
\tparam CalculationType \tparam_calculation
*/
-template <typename Model, typename CalculationType = void>
+template
+<
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
class andoyer
- : public detail::by_azimuth<geometry::formula::andoyer_inverse, Model, CalculationType>
+ : public side::geographic<strategy::andoyer, Spheroid, CalculationType>
{
- typedef detail::by_azimuth<geometry::formula::andoyer_inverse, Model, CalculationType> base_t;
+ typedef side::geographic<strategy::andoyer, Spheroid, CalculationType> base_t;
public:
- andoyer(Model const& model = Model())
+ andoyer()
+ {}
+
+ explicit andoyer(Spheroid const& model)
: base_t(model)
{}
};
diff --git a/boost/geometry/strategies/geographic/side_detail.hpp b/boost/geometry/strategies/geographic/side_detail.hpp
deleted file mode 100644
index ce1b47c88e..0000000000
--- a/boost/geometry/strategies/geographic/side_detail.hpp
+++ /dev/null
@@ -1,139 +0,0 @@
-// Boost.Geometry
-
-// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-
-// This file was modified by Oracle on 2014, 2015, 2016.
-// Modifications copyright (c) 2014-2016 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,
-// 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_GEOGRAPHIC_SIDE_DETAIL_HPP
-#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_DETAIL_HPP
-
-#include <boost/geometry/core/cs.hpp>
-#include <boost/geometry/core/access.hpp>
-#include <boost/geometry/core/radian_access.hpp>
-#include <boost/geometry/core/radius.hpp>
-
-#include <boost/geometry/util/math.hpp>
-#include <boost/geometry/util/promote_floating_point.hpp>
-#include <boost/geometry/util/select_calculation_type.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
-{
-
-/*!
-\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 InverseFormula Geodesic inverse solution formula.
-\tparam Model Reference model of coordinate system.
-\tparam CalculationType \tparam_calculation
- */
-template <template<typename, bool, bool, bool, bool, bool> class InverseFormula,
- typename Model,
- typename CalculationType = void>
-class by_azimuth
-{
-public:
- by_azimuth(Model const& model = Model())
- : m_model(model)
- {}
-
- template <typename P1, typename P2, typename P>
- inline int apply(P1 const& p1, P2 const& p2, P const& p)
- {
- typedef typename promote_floating_point
- <
- typename select_calculation_type_alt
- <
- CalculationType,
- P1, P2, P
- >::type
- >::type calc_t;
-
- typedef InverseFormula<calc_t, false, true, false, false, false> inverse_formula;
-
- calc_t a1p = azimuth<calc_t, inverse_formula>(p1, p, m_model);
- calc_t a12 = azimuth<calc_t, inverse_formula>(p1, p2, m_model);
-
- calc_t const pi = math::pi<calc_t>();
-
- // instead of the formula from XTD
- //calc_t a_diff = asin(sin(a1p - a12));
-
- calc_t a_diff = a1p - a12;
- // normalize, angle in [-pi, pi]
- while ( a_diff > pi )
- a_diff -= calc_t(2) * pi;
- while ( a_diff < -pi )
- a_diff += calc_t(2) * pi;
-
- // NOTE: in general it shouldn't be required to support the pi/-pi case
- // because in non-cartesian systems it makes sense to check the side
- // only "between" the endpoints.
- // However currently the winding strategy calls the side strategy
- // for vertical segments to check if the point is "between the endpoints.
- // This could be avoided since the side strategy is not required for that
- // because meridian is the shortest path. So a difference of
- // longitudes would be sufficient (of course normalized to [-pi, pi]).
-
- // NOTE: with the above said, the pi/-pi check is temporary
- // however in case if this was required
- // the geodesics on ellipsoid aren't "symmetrical"
- // therefore instead of comparing a_diff to pi and -pi
- // one should probably use inverse azimuths and compare
- // the difference to 0 as well
-
- // positive azimuth is on the right side
- return math::equals(a_diff, 0)
- || math::equals(a_diff, pi)
- || math::equals(a_diff, -pi) ? 0
- : a_diff > 0 ? -1 // right
- : 1; // left
- }
-
-private:
- template <typename ResultType,
- typename InverseFormulaType,
- typename Point1,
- typename Point2,
- typename ModelT>
- static inline ResultType azimuth(Point1 const& point1, Point2 const& point2, ModelT const& model)
- {
- return InverseFormulaType::apply(get_as_radian<0>(point1),
- get_as_radian<1>(point1),
- get_as_radian<0>(point2),
- get_as_radian<1>(point2),
- model).azimuth;
- }
-
- Model m_model;
-};
-
-} // detail
-#endif // DOXYGEN_NO_DETAIL
-
-}} // namespace strategy::side
-
-
-}} // namespace boost::geometry
-
-
-#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_DETAIL_HPP
diff --git a/boost/geometry/strategies/geographic/side_thomas.hpp b/boost/geometry/strategies/geographic/side_thomas.hpp
index 96b0323307..e6f8d77b58 100644
--- a/boost/geometry/strategies/geographic/side_thomas.hpp
+++ b/boost/geometry/strategies/geographic/side_thomas.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// This file was modified by Oracle on 2014, 2015, 2016.
-// Modifications copyright (c) 2014-2016 Oracle and/or its affiliates.
+// This file was modified by Oracle on 2014-2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -15,9 +15,7 @@
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_THOMAS_HPP
-#include <boost/geometry/formulas/thomas_inverse.hpp>
-
-#include <boost/geometry/strategies/geographic/side_detail.hpp>
+#include <boost/geometry/strategies/geographic/side.hpp>
namespace boost { namespace geometry
@@ -31,17 +29,24 @@ 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 Model Reference model of coordinate system.
+\tparam Spheroid Reference model of coordinate system.
\tparam CalculationType \tparam_calculation
*/
-template <typename Model, typename CalculationType = void>
+template
+<
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
class thomas
- : public detail::by_azimuth<geometry::formula::thomas_inverse, Model, CalculationType>
+ : public side::geographic<strategy::thomas, Spheroid, CalculationType>
{
- typedef detail::by_azimuth<geometry::formula::thomas_inverse, Model, CalculationType> base_t;
+ typedef side::geographic<strategy::thomas, Spheroid, CalculationType> base_t;
public:
- thomas(Model const& model = Model())
+ thomas()
+ {}
+
+ explicit thomas(Spheroid const& model)
: base_t(model)
{}
};
diff --git a/boost/geometry/strategies/geographic/side_vincenty.hpp b/boost/geometry/strategies/geographic/side_vincenty.hpp
index 103277a8bd..b2f51b0901 100644
--- a/boost/geometry/strategies/geographic/side_vincenty.hpp
+++ b/boost/geometry/strategies/geographic/side_vincenty.hpp
@@ -2,8 +2,8 @@
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
-// This file was modified by Oracle on 2014, 2015, 2016.
-// Modifications copyright (c) 2014-2016 Oracle and/or its affiliates.
+// This file was modified by Oracle on 2014-2017.
+// Modifications copyright (c) 2014-2017 Oracle and/or its affiliates.
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
@@ -15,9 +15,7 @@
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_SIDE_VINCENTY_HPP
-#include <boost/geometry/formulas/vincenty_inverse.hpp>
-
-#include <boost/geometry/strategies/geographic/side_detail.hpp>
+#include <boost/geometry/strategies/geographic/side.hpp>
namespace boost { namespace geometry
@@ -31,17 +29,24 @@ 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 Model Reference model of coordinate system.
+\tparam Spheroid Reference model of coordinate system.
\tparam CalculationType \tparam_calculation
*/
-template <typename Model, typename CalculationType = void>
+template
+<
+ typename Spheroid = srs::spheroid<double>,
+ typename CalculationType = void
+>
class vincenty
- : public detail::by_azimuth<geometry::formula::vincenty_inverse, Model, CalculationType>
+ : public side::geographic<strategy::vincenty, Spheroid, CalculationType>
{
- typedef detail::by_azimuth<geometry::formula::vincenty_inverse, Model, CalculationType> base_t;
+ typedef side::geographic<strategy::vincenty, Spheroid, CalculationType> base_t;
public:
- vincenty(Model const& model = Model())
+ vincenty()
+ {}
+
+ explicit vincenty(Spheroid const& model)
: base_t(model)
{}
};