-// Boost.Geometry (aka GGL, Generic Geometry Library)
+// Boost.Geometry
-// Copyright (c) 2017 Adam Wulkiewicz, Lodz, Poland.
+// Copyright (c) 2020, Oracle and/or its affiliates.
-// Copyright (c) 2016-2018 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)
+// Licensed under the Boost Software License version 1.0.
+// http://www.boost.org/users/license.html
#ifndef BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AREA_HPP
#define BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AREA_HPP
-#include <boost/geometry/srs/spheroid.hpp>
+#include <boost/config/pragma_message.hpp>
+BOOST_PRAGMA_MESSAGE("This include file is deprecated and will be removed in the future.")
-#include <boost/geometry/formulas/area_formulas.hpp>
-#include <boost/geometry/formulas/authalic_radius_sqr.hpp>
-#include <boost/geometry/formulas/eccentricity_sqr.hpp>
-#include <boost/geometry/strategies/area.hpp>
-#include <boost/geometry/strategies/geographic/parameters.hpp>
+#include <boost/geometry/strategy/geographic/area.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 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)]
-\* [link geometry.reference.srs.srs_spheroid srs::spheroid]
-}
-*/
-template
-<
- 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
-
-public:
- template <typename Geometry>
- struct result_type
- : strategy::area::detail::result_type
- <
- Geometry,
- CalculationType
- >
- {};
-
-protected :
- struct spheroid_constants
- {
- typedef typename boost::mpl::if_c
- <
- boost::is_void<CalculationType>::value,
- typename geometry::radius_type<Spheroid>::type,
- CalculationType
- >::type calc_t;
-
- Spheroid m_spheroid;
- calc_t const m_a2; // squared equatorial radius
- calc_t const m_e2; // squared eccentricity
- calc_t const m_ep2; // squared second eccentricity
- calc_t const m_ep; // second eccentricity
- calc_t const m_c2; // squared authalic radius
-
- inline spheroid_constants(Spheroid const& spheroid)
- : m_spheroid(spheroid)
- , m_a2(math::sqr(get_radius<0>(spheroid)))
- , m_e2(formula::eccentricity_sqr<calc_t>(spheroid))
- , m_ep2(m_e2 / (calc_t(1.0) - m_e2))
- , m_ep(math::sqrt(m_ep2))
- , m_c2(formula_dispatch::authalic_radius_sqr
- <
- calc_t, Spheroid, srs_spheroid_tag
- >::apply(m_a2, m_e2))
- {}
- };
-
-public:
- template <typename Geometry>
- class state
- {
- friend class geographic;
-
- typedef typename result_type<Geometry>::type return_type;
-
- public:
- inline state()
- : m_excess_sum(0)
- , m_correction_sum(0)
- , m_crosses_prime_meridian(0)
- {}
-
- private:
- inline return_type area(spheroid_constants const& spheroid_const) const
- {
- return_type result;
-
- return_type 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 = return_type(2.0)
- * geometry::math::pi<return_type>()
- * spheroid_const.m_c2
- * return_type(times_crosses_prime_meridian)
- - geometry::math::abs(sum);
-
- if (geometry::math::sign<return_type>(sum) == 1)
- {
- result = - result;
- }
-
- }
- else
- {
- result = sum;
- }
-
- return result;
- }
-
- return_type m_excess_sum;
- return_type m_correction_sum;
-
- // Keep track if encircles some pole
- std::size_t m_crosses_prime_meridian;
- };
-
-public :
- explicit inline geographic(Spheroid const& spheroid = Spheroid())
- : m_spheroid_constants(spheroid)
- {}
-
- template <typename PointOfSegment, typename Geometry>
- inline void apply(PointOfSegment const& p1,
- PointOfSegment const& p2,
- state<Geometry>& st) const
- {
- if (! geometry::math::equals(get<0>(p1), get<0>(p2)))
- {
- typedef geometry::formula::area_formulas
- <
- typename result_type<Geometry>::type,
- SeriesOrder, ExpandEpsN
- > area_formulas;
-
- typename area_formulas::return_type_ellipsoidal result =
- area_formulas::template ellipsoidal<FormulaPolicy::template inverse>
- (p1, p2, m_spheroid_constants);
-
- st.m_excess_sum += result.spherical_term;
- st.m_correction_sum += result.ellipsoidal_term;
-
- // Keep track whenever a segment crosses the prime meridian
- if (area_formulas::crosses_prime_meridian(p1, p2))
- {
- st.m_crosses_prime_meridian++;
- }
- }
- }
-
- template <typename Geometry>
- inline typename result_type<Geometry>::type
- result(state<Geometry> const& st) const
- {
- return st.area(m_spheroid_constants);
- }
-
-private:
- spheroid_constants m_spheroid_constants;
-
-};
-
-#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
-
-namespace services
-{
-
-
-template <>
-struct default_strategy<geographic_tag>
-{
- typedef strategy::area::geographic<> type;
-};
-
-#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
-
-}
-
-}} // namespace strategy::area
-
-
-
-
-}} // namespace boost::geometry
-
#endif // BOOST_GEOMETRY_STRATEGIES_GEOGRAPHIC_AREA_HPP
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