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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// 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.
+
+// 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_MAPPING_SSF_HPP
+#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_MAPPING_SSF_HPP
+
+
+#include <boost/core/ignore_unused.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/spherical/ssf.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace side
+{
+
+
+// An enumeration type defining types of mapping of geographical
+// latitude to spherical latitude.
+// See: http://en.wikipedia.org/wiki/Great_ellipse
+// http://en.wikipedia.org/wiki/Latitude#Auxiliary_latitudes
+enum mapping_type { mapping_geodetic, mapping_reduced, mapping_geocentric };
+
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename Spheroid, mapping_type Mapping>
+struct mapper
+{
+ explicit inline mapper(Spheroid const& /*spheroid*/) {}
+
+ template <typename CalculationType>
+ static inline CalculationType const& apply(CalculationType const& lat)
+ {
+ return lat;
+ }
+};
+
+template <typename Spheroid>
+struct mapper<Spheroid, mapping_reduced>
+{
+ typedef typename promote_floating_point
+ <
+ typename radius_type<Spheroid>::type
+ >::type fraction_type;
+
+ explicit inline mapper(Spheroid const& spheroid)
+ {
+ fraction_type const a = geometry::get_radius<0>(spheroid);
+ fraction_type const b = geometry::get_radius<2>(spheroid);
+ b_div_a = b / a;
+ }
+
+ template <typename CalculationType>
+ inline CalculationType apply(CalculationType const& lat) const
+ {
+ return atan(static_cast<CalculationType>(b_div_a) * tan(lat));
+ }
+
+ fraction_type b_div_a;
+};
+
+template <typename Spheroid>
+struct mapper<Spheroid, mapping_geocentric>
+{
+ typedef typename promote_floating_point
+ <
+ typename radius_type<Spheroid>::type
+ >::type fraction_type;
+
+ explicit inline mapper(Spheroid const& spheroid)
+ {
+ fraction_type const a = geometry::get_radius<0>(spheroid);
+ fraction_type const b = geometry::get_radius<2>(spheroid);
+ sqr_b_div_a = b / a;
+ sqr_b_div_a *= sqr_b_div_a;
+ }
+
+ template <typename CalculationType>
+ inline CalculationType apply(CalculationType const& lat) const
+ {
+ return atan(static_cast<CalculationType>(sqr_b_div_a) * tan(lat));
+ }
+
+ fraction_type sqr_b_div_a;
+};
+
+}
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Check at which side of a geographical segment a point lies
+ left of segment (> 0), right of segment (< 0), on segment (0).
+ The check is performed by mapping the geographical coordinates
+ to spherical coordinates and using spherical_side_formula.
+\ingroup strategies
+\tparam Spheroid The reference spheroid model
+\tparam Mapping The type of mapping of geographical to spherical latitude
+\tparam CalculationType \tparam_calculation
+ */
+template <typename Spheroid,
+ mapping_type Mapping = mapping_geodetic,
+ typename CalculationType = void>
+class mapping_spherical_side_formula
+{
+
+public :
+ inline mapping_spherical_side_formula()
+ : m_mapper(Spheroid())
+ {}
+
+ explicit inline mapping_spherical_side_formula(Spheroid const& spheroid)
+ : m_mapper(spheroid)
+ {}
+
+ 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 calculation_type;
+
+ calculation_type lon1 = get_as_radian<0>(p1);
+ calculation_type lat1 = m_mapper.template apply<calculation_type>(get_as_radian<1>(p1));
+ calculation_type lon2 = get_as_radian<0>(p2);
+ calculation_type lat2 = m_mapper.template apply<calculation_type>(get_as_radian<1>(p2));
+ calculation_type lon = get_as_radian<0>(p);
+ calculation_type lat = m_mapper.template apply<calculation_type>(get_as_radian<1>(p));
+
+ return detail::spherical_side_formula(lon1, lat1, lon2, lat2, lon, lat);
+ }
+
+private:
+ side::detail::mapper<Spheroid, Mapping> const m_mapper;
+};
+
+// The specialization for geodetic latitude which can be used directly
+template <typename Spheroid,
+ typename CalculationType>
+class mapping_spherical_side_formula<Spheroid, mapping_geodetic, CalculationType>
+{
+
+public :
+ inline mapping_spherical_side_formula() {}
+ explicit inline mapping_spherical_side_formula(Spheroid const& /*spheroid*/) {}
+
+ template <typename P1, typename P2, typename P>
+ static inline int apply(P1 const& p1, P2 const& p2, P const& p)
+ {
+ return spherical_side_formula<CalculationType>::apply(p1, p2, p);
+ }
+};
+
+}} // namespace strategy::side
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_MAPPING_SSF_HPP