142 lines
4.2 KiB
C++
142 lines
4.2 KiB
C++
// Boost.Geometry (aka GGL, Generic Geometry Library)
|
|
|
|
// Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
|
|
|
|
// This file was modified by Oracle on 2016.
|
|
// Modifications copyright (c) 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_SPHERICAL_SSF_HPP
|
|
#define BOOST_GEOMETRY_STRATEGIES_SPHERICAL_SSF_HPP
|
|
|
|
|
|
#include <boost/geometry/core/cs.hpp>
|
|
#include <boost/geometry/core/access.hpp>
|
|
#include <boost/geometry/core/radian_access.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
|
|
{
|
|
|
|
template <typename T>
|
|
int spherical_side_formula(T const& lambda1, T const& delta1,
|
|
T const& lambda2, T const& delta2,
|
|
T const& lambda, T const& delta)
|
|
{
|
|
// Create temporary points (vectors) on unit a sphere
|
|
T const cos_delta1 = cos(delta1);
|
|
T const c1x = cos_delta1 * cos(lambda1);
|
|
T const c1y = cos_delta1 * sin(lambda1);
|
|
T const c1z = sin(delta1);
|
|
|
|
T const cos_delta2 = cos(delta2);
|
|
T const c2x = cos_delta2 * cos(lambda2);
|
|
T const c2y = cos_delta2 * sin(lambda2);
|
|
T const c2z = sin(delta2);
|
|
|
|
// (Third point is converted directly)
|
|
T const cos_delta = cos(delta);
|
|
|
|
// Apply the "Spherical Side Formula" as presented on my blog
|
|
T const dist
|
|
= (c1y * c2z - c1z * c2y) * cos_delta * cos(lambda)
|
|
+ (c1z * c2x - c1x * c2z) * cos_delta * sin(lambda)
|
|
+ (c1x * c2y - c1y * c2x) * sin(delta);
|
|
|
|
T zero = T();
|
|
return math::equals(dist, zero) ? 0
|
|
: dist > zero ? 1
|
|
: -1; // dist < zero
|
|
}
|
|
|
|
}
|
|
#endif // DOXYGEN_NO_DETAIL
|
|
|
|
/*!
|
|
\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 promote_floating_point
|
|
<
|
|
typename select_calculation_type_alt
|
|
<
|
|
CalculationType,
|
|
P1, P2, P
|
|
>::type
|
|
>::type calculation_type;
|
|
|
|
calculation_type const lambda1 = get_as_radian<0>(p1);
|
|
calculation_type const delta1 = get_as_radian<1>(p1);
|
|
calculation_type const lambda2 = get_as_radian<0>(p2);
|
|
calculation_type const delta2 = get_as_radian<1>(p2);
|
|
calculation_type const lambda = get_as_radian<0>(p);
|
|
calculation_type const delta = get_as_radian<1>(p);
|
|
|
|
return detail::spherical_side_formula(lambda1, delta1,
|
|
lambda2, delta2,
|
|
lambda, delta);
|
|
}
|
|
};
|
|
|
|
|
|
#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
|