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+#ifndef BOOST_GEOMETRY_PROJECTIONS_OEA_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_OEA_HPP
+
+// Boost.Geometry - extensions-gis-projections (based on PROJ4)
+// This file is automatically generated. DO NOT EDIT.
+
+// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2017.
+// Modifications 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)
+
+// This file is converted from PROJ4, http://trac.osgeo.org/proj
+// PROJ4 is originally written by Gerald Evenden (then of the USGS)
+// PROJ4 is maintained by Frank Warmerdam
+// PROJ4 is converted to Boost.Geometry by Barend Gehrels
+
+// Last updated version of proj: 4.9.1
+
+// Original copyright notice:
+
+// Permission is hereby granted, free of charge, to any person obtaining a
+// copy of this software and associated documentation files (the "Software"),
+// to deal in the Software without restriction, including without limitation
+// the rights to use, copy, modify, merge, publish, distribute, sublicense,
+// and/or sell copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following conditions:
+
+// The above copyright notice and this permission notice shall be included
+// in all copies or substantial portions of the Software.
+
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+// DEALINGS IN THE SOFTWARE.
+
+#include <boost/math/special_functions/hypot.hpp>
+
+#include <boost/geometry/srs/projections/impl/base_static.hpp>
+#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
+#include <boost/geometry/srs/projections/impl/projects.hpp>
+#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
+#include <boost/geometry/srs/projections/impl/aasincos.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct oea {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace oea
+ {
+ template <typename T>
+ struct par_oea
+ {
+ T theta;
+ T m, n;
+ T two_r_m, two_r_n, rm, rn, hm, hn;
+ T cp0, sp0;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_oea_spheroid : public base_t_fi<base_oea_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_oea<CalculationType> m_proj_parm;
+
+ inline base_oea_spheroid(const Parameters& par)
+ : base_t_fi<base_oea_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(s_forward) sphere
+ // Project coordinates from geographic (lon, lat) to cartesian (x, y)
+ inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
+ {
+ CalculationType Az, M, N, cp, sp, cl, shz;
+
+ cp = cos(lp_lat);
+ sp = sin(lp_lat);
+ cl = cos(lp_lon);
+ Az = aatan2(cp * sin(lp_lon), this->m_proj_parm.cp0 * sp - this->m_proj_parm.sp0 * cp * cl) + this->m_proj_parm.theta;
+ shz = sin(0.5 * aacos(this->m_proj_parm.sp0 * sp + this->m_proj_parm.cp0 * cp * cl));
+ M = aasin(shz * sin(Az));
+ N = aasin(shz * cos(Az) * cos(M) / cos(M * this->m_proj_parm.two_r_m));
+ xy_y = this->m_proj_parm.n * sin(N * this->m_proj_parm.two_r_n);
+ xy_x = this->m_proj_parm.m * sin(M * this->m_proj_parm.two_r_m) * cos(N) / cos(N * this->m_proj_parm.two_r_n);
+ }
+
+ // INVERSE(s_inverse) sphere
+ // Project coordinates from cartesian (x, y) to geographic (lon, lat)
+ inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
+ {
+ CalculationType N, M, xp, yp, z, Az, cz, sz, cAz;
+
+ N = this->m_proj_parm.hn * aasin(xy_y * this->m_proj_parm.rn);
+ M = this->m_proj_parm.hm * aasin(xy_x * this->m_proj_parm.rm * cos(N * this->m_proj_parm.two_r_n) / cos(N));
+ xp = 2. * sin(M);
+ yp = 2. * sin(N) * cos(M * this->m_proj_parm.two_r_m) / cos(M);
+ cAz = cos(Az = aatan2(xp, yp) - this->m_proj_parm.theta);
+ z = 2. * aasin(0.5 * boost::math::hypot(xp, yp));
+ sz = sin(z);
+ cz = cos(z);
+ lp_lat = aasin(this->m_proj_parm.sp0 * cz + this->m_proj_parm.cp0 * sz * cAz);
+ lp_lon = aatan2(sz * sin(Az),
+ this->m_proj_parm.cp0 * cz - this->m_proj_parm.sp0 * sz * cAz);
+ }
+
+ static inline std::string get_name()
+ {
+ return "oea_spheroid";
+ }
+
+ };
+
+ // Oblated Equal Area
+ template <typename Parameters, typename T>
+ inline void setup_oea(Parameters& par, par_oea<T>& proj_parm)
+ {
+ if (((proj_parm.n = pj_param(par.params, "dn").f) <= 0.) ||
+ ((proj_parm.m = pj_param(par.params, "dm").f) <= 0.))
+ BOOST_THROW_EXCEPTION( projection_exception(-39) );
+ else {
+ proj_parm.theta = pj_param(par.params, "rtheta").f;
+ proj_parm.sp0 = sin(par.phi0);
+ proj_parm.cp0 = cos(par.phi0);
+ proj_parm.rn = 1./ proj_parm.n;
+ proj_parm.rm = 1./ proj_parm.m;
+ proj_parm.two_r_n = 2. * proj_parm.rn;
+ proj_parm.two_r_m = 2. * proj_parm.rm;
+ proj_parm.hm = 0.5 * proj_parm.m;
+ proj_parm.hn = 0.5 * proj_parm.n;
+ par.es = 0.;
+ }
+ }
+
+ }} // namespace detail::oea
+ #endif // doxygen
+
+ /*!
+ \brief Oblated Equal Area projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Miscellaneous
+ - Spheroid
+ \par Projection parameters
+ - n (real)
+ - m (real)
+ - theta: Theta (degrees)
+ \par Example
+ \image html ex_oea.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct oea_spheroid : public detail::oea::base_oea_spheroid<CalculationType, Parameters>
+ {
+ inline oea_spheroid(const Parameters& par) : detail::oea::base_oea_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::oea::setup_oea(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::oea, oea_spheroid, oea_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class oea_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<oea_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void oea_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("oea", new oea_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_OEA_HPP
+