216 lines
9.0 KiB
C++
216 lines
9.0 KiB
C++
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// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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#ifndef BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP
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#include <boost/geometry/util/math.hpp>
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_param.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace ocea
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{
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template <typename T>
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struct par_ocea
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{
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T rok;
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T rtk;
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T sinphi;
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T cosphi;
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T singam;
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T cosgam;
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};
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template <typename T, typename Parameters>
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struct base_ocea_spheroid
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{
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par_ocea<T> m_proj_parm;
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// FORWARD(s_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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static const T pi = detail::pi<T>();
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T t;
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xy_y = sin(lp_lon);
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t = cos(lp_lon);
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xy_x = atan((tan(lp_lat) * this->m_proj_parm.cosphi + this->m_proj_parm.sinphi * xy_y) / t);
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if (t < 0.)
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xy_x += pi;
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xy_x *= this->m_proj_parm.rtk;
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xy_y = this->m_proj_parm.rok * (this->m_proj_parm.sinphi * sin(lp_lat) - this->m_proj_parm.cosphi * cos(lp_lat) * xy_y);
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}
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// INVERSE(s_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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T t, s;
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xy_y /= this->m_proj_parm.rok;
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xy_x /= this->m_proj_parm.rtk;
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t = sqrt(1. - xy_y * xy_y);
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lp_lat = asin(xy_y * this->m_proj_parm.sinphi + t * this->m_proj_parm.cosphi * (s = sin(xy_x)));
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lp_lon = atan2(t * this->m_proj_parm.sinphi * s - xy_y * this->m_proj_parm.cosphi,
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t * cos(xy_x));
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}
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static inline std::string get_name()
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{
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return "ocea_spheroid";
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}
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};
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// Oblique Cylindrical Equal Area
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template <typename Params, typename Parameters, typename T>
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inline void setup_ocea(Params const& params, Parameters& par, par_ocea<T>& proj_parm)
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{
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static const T half_pi = detail::half_pi<T>();
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T phi_0=0.0, phi_1, phi_2, lam_1, lam_2, lonz, alpha;
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proj_parm.rok = 1. / par.k0;
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proj_parm.rtk = par.k0;
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/*If the keyword "alpha" is found in the sentence then use 1point+1azimuth*/
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if ( pj_param_r<srs::spar::alpha>(params, "alpha", srs::dpar::alpha, alpha)) {
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/*Define Pole of oblique transformation from 1 point & 1 azimuth*/
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//alpha = pj_get_param_r(par.params, "alpha"); // set above
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lonz = pj_get_param_r<T, srs::spar::lonc>(params, "lonc", srs::dpar::lonc);
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/*Equation 9-8 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
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proj_parm.singam = atan(-cos(alpha)/(-sin(phi_0) * sin(alpha))) + lonz;
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/*Equation 9-7 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
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proj_parm.sinphi = asin(cos(phi_0) * sin(alpha));
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/*If the keyword "alpha" is NOT found in the sentence then use 2points*/
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} else {
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/*Define Pole of oblique transformation from 2 points*/
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phi_1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
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phi_2 = pj_get_param_r<T, srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2);
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lam_1 = pj_get_param_r<T, srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1);
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lam_2 = pj_get_param_r<T, srs::spar::lon_2>(params, "lon_2", srs::dpar::lon_2);
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/*Equation 9-1 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
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proj_parm.singam = atan2(cos(phi_1) * sin(phi_2) * cos(lam_1) -
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sin(phi_1) * cos(phi_2) * cos(lam_2),
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sin(phi_1) * cos(phi_2) * sin(lam_2) -
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cos(phi_1) * sin(phi_2) * sin(lam_1) );
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/* take care of P->lam0 wrap-around when +lam_1=-90*/
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if (lam_1 == -half_pi)
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proj_parm.singam = -proj_parm.singam;
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/*Equation 9-2 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
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proj_parm.sinphi = atan(-cos(proj_parm.singam - lam_1) / tan(phi_1));
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}
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par.lam0 = proj_parm.singam + half_pi;
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proj_parm.cosphi = cos(proj_parm.sinphi);
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proj_parm.sinphi = sin(proj_parm.sinphi);
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proj_parm.cosgam = cos(proj_parm.singam);
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proj_parm.singam = sin(proj_parm.singam);
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par.es = 0.;
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}
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}} // namespace detail::ocea
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#endif // doxygen
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/*!
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\brief Oblique Cylindrical Equal Area projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Cylindrical
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- Spheroid
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\par Projection parameters
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- lonc: Longitude (only used if alpha (or gamma) is specified) (degrees)
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- alpha: Alpha (degrees)
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- lat_1: Latitude of first standard parallel (degrees)
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- lat_2: Latitude of second standard parallel (degrees)
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- lon_1 (degrees)
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- lon_2 (degrees)
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\par Example
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\image html ex_ocea.gif
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*/
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template <typename T, typename Parameters>
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struct ocea_spheroid : public detail::ocea::base_ocea_spheroid<T, Parameters>
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{
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template <typename Params>
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inline ocea_spheroid(Params const& params, Parameters & par)
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{
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detail::ocea::setup_ocea(params, par, this->m_proj_parm);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_ocea, ocea_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(ocea_entry, ocea_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(ocea_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ocea, ocea_entry)
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP
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