236 lines
8.9 KiB
C++
236 lines
8.9 KiB
C++
// 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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// Purpose: Implementation of the airy (Airy) projection.
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// Author: Gerald Evenden (1995)
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// Thomas Knudsen (2016) - revise/add regression tests
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// Copyright (c) 1995, Gerald Evenden
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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_AIRY_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_AIRY_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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#include <boost/geometry/util/math.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 airy
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{
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static const double epsilon = 1.e-10;
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enum mode_type {
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n_pole = 0,
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s_pole = 1,
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equit = 2,
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obliq = 3
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};
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template <typename T>
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struct par_airy
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{
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T p_halfpi;
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T sinph0;
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T cosph0;
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T Cb;
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mode_type mode;
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bool no_cut; /* do not cut at hemisphere limit */
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};
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template <typename T, typename Parameters>
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struct base_airy_spheroid
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{
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par_airy<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 lp_lat, T& xy_x, T& xy_y) const
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{
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static const T half_pi = detail::half_pi<T>();
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T sinlam, coslam, cosphi, sinphi, t, s, Krho, cosz;
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sinlam = sin(lp_lon);
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coslam = cos(lp_lon);
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switch (this->m_proj_parm.mode) {
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case equit:
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case obliq:
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sinphi = sin(lp_lat);
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cosphi = cos(lp_lat);
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cosz = cosphi * coslam;
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if (this->m_proj_parm.mode == obliq)
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cosz = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosz;
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if (!this->m_proj_parm.no_cut && cosz < -epsilon) {
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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}
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if (fabs(s = 1. - cosz) > epsilon) {
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t = 0.5 * (1. + cosz);
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Krho = -log(t)/s - this->m_proj_parm.Cb / t;
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} else
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Krho = 0.5 - this->m_proj_parm.Cb;
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xy_x = Krho * cosphi * sinlam;
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if (this->m_proj_parm.mode == obliq)
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xy_y = Krho * (this->m_proj_parm.cosph0 * sinphi -
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this->m_proj_parm.sinph0 * cosphi * coslam);
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else
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xy_y = Krho * sinphi;
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break;
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case s_pole:
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case n_pole:
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lp_lat = fabs(this->m_proj_parm.p_halfpi - lp_lat);
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if (!this->m_proj_parm.no_cut && (lp_lat - epsilon) > half_pi)
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BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
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if ((lp_lat *= 0.5) > epsilon) {
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t = tan(lp_lat);
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Krho = -2.*(log(cos(lp_lat)) / t + t * this->m_proj_parm.Cb);
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xy_x = Krho * sinlam;
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xy_y = Krho * coslam;
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if (this->m_proj_parm.mode == n_pole)
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xy_y = -xy_y;
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} else
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xy_x = xy_y = 0.;
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}
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}
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static inline std::string get_name()
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{
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return "airy_spheroid";
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}
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};
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// Airy
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template <typename Params, typename Parameters, typename T>
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inline void setup_airy(Params const& params, Parameters& par, par_airy<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 beta;
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proj_parm.no_cut = pj_get_param_b<srs::spar::no_cut>(params, "no_cut", srs::dpar::no_cut);
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beta = 0.5 * (half_pi - pj_get_param_r<T, srs::spar::lat_b>(params, "lat_b", srs::dpar::lat_b));
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if (fabs(beta) < epsilon)
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proj_parm.Cb = -0.5;
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else {
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proj_parm.Cb = 1./tan(beta);
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proj_parm.Cb *= proj_parm.Cb * log(cos(beta));
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}
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if (fabs(fabs(par.phi0) - half_pi) < epsilon)
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if (par.phi0 < 0.) {
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proj_parm.p_halfpi = -half_pi;
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proj_parm.mode = s_pole;
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} else {
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proj_parm.p_halfpi = half_pi;
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proj_parm.mode = n_pole;
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}
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else {
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if (fabs(par.phi0) < epsilon)
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proj_parm.mode = equit;
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else {
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proj_parm.mode = obliq;
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proj_parm.sinph0 = sin(par.phi0);
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proj_parm.cosph0 = cos(par.phi0);
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}
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}
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par.es = 0.;
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}
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}} // namespace detail::airy
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#endif // doxygen
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/*!
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\brief Airy 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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- Miscellaneous
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- Spheroid
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- no inverse
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\par Projection parameters
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- no_cut: Do not cut at hemisphere limit (boolean)
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- lat_b (degrees)
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\par Example
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\image html ex_airy.gif
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*/
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template <typename T, typename Parameters>
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struct airy_spheroid : public detail::airy::base_airy_spheroid<T, Parameters>
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{
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template <typename Params>
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inline airy_spheroid(Params const& params, Parameters & par)
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{
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detail::airy::setup_airy(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_F(srs::spar::proj_airy, airy_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(airy_entry, airy_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(airy_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(airy, airy_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_AIRY_HPP
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