123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136 |
- // Boost.Geometry (aka GGL, Generic Geometry Library)
- // Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
- // Use, modification and distribution is subject to the Boost Software License,
- // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- #ifndef BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
- #define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
- #include <boost/mpl/if.hpp>
- #include <boost/type_traits.hpp>
- #include <boost/geometry/core/cs.hpp>
- #include <boost/geometry/core/access.hpp>
- #include <boost/geometry/core/radian_access.hpp>
- #include <boost/geometry/util/select_coordinate_type.hpp>
- #include <boost/geometry/util/math.hpp>
- #include <boost/geometry/strategies/side.hpp>
- //#include <boost/geometry/strategies/concepts/side_concept.hpp>
- namespace boost { namespace geometry
- {
- namespace strategy { namespace side
- {
- /*!
- \brief Check at which side of a Great Circle segment a point lies
- left of segment (> 0), right of segment (< 0), on segment (0)
- \ingroup strategies
- \tparam CalculationType \tparam_calculation
- */
- template <typename CalculationType = void>
- class spherical_side_formula
- {
- public :
- template <typename P1, typename P2, typename P>
- static inline int apply(P1 const& p1, P2 const& p2, P const& p)
- {
- typedef typename boost::mpl::if_c
- <
- boost::is_void<CalculationType>::type::value,
- // Select at least a double...
- typename select_most_precise
- <
- typename select_most_precise
- <
- typename select_most_precise
- <
- typename coordinate_type<P1>::type,
- typename coordinate_type<P2>::type
- >::type,
- typename coordinate_type<P>::type
- >::type,
- double
- >::type,
- CalculationType
- >::type coordinate_type;
- // Convenient shortcuts
- typedef coordinate_type ct;
- ct const lambda1 = get_as_radian<0>(p1);
- ct const delta1 = get_as_radian<1>(p1);
- ct const lambda2 = get_as_radian<0>(p2);
- ct const delta2 = get_as_radian<1>(p2);
- ct const lambda = get_as_radian<0>(p);
- ct const delta = get_as_radian<1>(p);
- // Create temporary points (vectors) on unit a sphere
- ct const cos_delta1 = cos(delta1);
- ct const c1x = cos_delta1 * cos(lambda1);
- ct const c1y = cos_delta1 * sin(lambda1);
- ct const c1z = sin(delta1);
- ct const cos_delta2 = cos(delta2);
- ct const c2x = cos_delta2 * cos(lambda2);
- ct const c2y = cos_delta2 * sin(lambda2);
- ct const c2z = sin(delta2);
- // (Third point is converted directly)
- ct const cos_delta = cos(delta);
-
- // Apply the "Spherical Side Formula" as presented on my blog
- ct const dist
- = (c1y * c2z - c1z * c2y) * cos_delta * cos(lambda)
- + (c1z * c2x - c1x * c2z) * cos_delta * sin(lambda)
- + (c1x * c2y - c1y * c2x) * sin(delta);
-
- ct zero = ct();
- return dist > zero ? 1
- : dist < zero ? -1
- : 0;
- }
- };
- #ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
- namespace services
- {
- /*template <typename CalculationType>
- struct default_strategy<spherical_polar_tag, CalculationType>
- {
- typedef spherical_side_formula<CalculationType> type;
- };*/
- template <typename CalculationType>
- struct default_strategy<spherical_equatorial_tag, CalculationType>
- {
- typedef spherical_side_formula<CalculationType> type;
- };
- template <typename CalculationType>
- struct default_strategy<geographic_tag, CalculationType>
- {
- typedef spherical_side_formula<CalculationType> type;
- };
- }
- #endif
- }} // namespace strategy::side
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
|