495 lines
19 KiB
C++
495 lines
19 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_SCONICS_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_SCONICS_HPP
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#include <boost/geometry/util/math.hpp>
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#include <boost/math/special_functions/hypot.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 sconics
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{
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enum proj_type {
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proj_euler = 0,
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proj_murd1 = 1,
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proj_murd2 = 2,
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proj_murd3 = 3,
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proj_pconic = 4,
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proj_tissot = 5,
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proj_vitk1 = 6
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};
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static const double epsilon10 = 1.e-10;
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static const double epsilon = 1e-10;
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template <typename T>
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struct par_sconics
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{
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T n;
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T rho_c;
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T rho_0;
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T sig;
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T c1, c2;
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proj_type type;
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};
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/* get common factors for simple conics */
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template <typename Params, typename T>
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inline int phi12(Params const& params, par_sconics<T>& proj_parm, T *del)
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{
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T p1, p2;
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int err = 0;
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if (!pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, p1) ||
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!pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, p2)) {
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err = -41;
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} else {
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//p1 = pj_get_param_r(par.params, "lat_1"); // set above
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//p2 = pj_get_param_r(par.params, "lat_2"); // set above
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*del = 0.5 * (p2 - p1);
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proj_parm.sig = 0.5 * (p2 + p1);
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err = (fabs(*del) < epsilon || fabs(proj_parm.sig) < epsilon) ? -42 : 0;
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}
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return err;
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}
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template <typename T, typename Parameters>
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struct base_sconics_spheroid
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{
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par_sconics<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 lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T rho;
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switch (this->m_proj_parm.type) {
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case proj_murd2:
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rho = this->m_proj_parm.rho_c + tan(this->m_proj_parm.sig - lp_lat);
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break;
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case proj_pconic:
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rho = this->m_proj_parm.c2 * (this->m_proj_parm.c1 - tan(lp_lat - this->m_proj_parm.sig));
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break;
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default:
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rho = this->m_proj_parm.rho_c - lp_lat;
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break;
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}
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xy_x = rho * sin( lp_lon *= this->m_proj_parm.n );
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xy_y = this->m_proj_parm.rho_0 - rho * cos(lp_lon);
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}
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// INVERSE(s_inverse) ellipsoid & 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 rho;
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rho = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.rho_0 - xy_y);
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if (this->m_proj_parm.n < 0.) {
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rho = - rho;
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xy_x = - xy_x;
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xy_y = - xy_y;
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}
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lp_lon = atan2(xy_x, xy_y) / this->m_proj_parm.n;
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switch (this->m_proj_parm.type) {
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case proj_pconic:
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lp_lat = atan(this->m_proj_parm.c1 - rho / this->m_proj_parm.c2) + this->m_proj_parm.sig;
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break;
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case proj_murd2:
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lp_lat = this->m_proj_parm.sig - atan(rho - this->m_proj_parm.rho_c);
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break;
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default:
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lp_lat = this->m_proj_parm.rho_c - rho;
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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 "sconics_spheroid";
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}
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};
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template <typename Params, typename Parameters, typename T>
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inline void setup(Params const& params, Parameters& par, par_sconics<T>& proj_parm, proj_type type)
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{
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static const T half_pi = detail::half_pi<T>();
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T del, cs;
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int err;
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proj_parm.type = type;
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err = phi12(params, proj_parm, &del);
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if(err)
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BOOST_THROW_EXCEPTION( projection_exception(err) );
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switch (proj_parm.type) {
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case proj_tissot:
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proj_parm.n = sin(proj_parm.sig);
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cs = cos(del);
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proj_parm.rho_c = proj_parm.n / cs + cs / proj_parm.n;
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proj_parm.rho_0 = sqrt((proj_parm.rho_c - 2 * sin(par.phi0))/proj_parm.n);
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break;
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case proj_murd1:
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proj_parm.rho_c = sin(del)/(del * tan(proj_parm.sig)) + proj_parm.sig;
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proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
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proj_parm.n = sin(proj_parm.sig);
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break;
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case proj_murd2:
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proj_parm.rho_c = (cs = sqrt(cos(del))) / tan(proj_parm.sig);
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proj_parm.rho_0 = proj_parm.rho_c + tan(proj_parm.sig - par.phi0);
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proj_parm.n = sin(proj_parm.sig) * cs;
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break;
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case proj_murd3:
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proj_parm.rho_c = del / (tan(proj_parm.sig) * tan(del)) + proj_parm.sig;
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proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
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proj_parm.n = sin(proj_parm.sig) * sin(del) * tan(del) / (del * del);
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break;
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case proj_euler:
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proj_parm.n = sin(proj_parm.sig) * sin(del) / del;
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del *= 0.5;
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proj_parm.rho_c = del / (tan(del) * tan(proj_parm.sig)) + proj_parm.sig;
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proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
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break;
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case proj_pconic:
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proj_parm.n = sin(proj_parm.sig);
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proj_parm.c2 = cos(del);
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proj_parm.c1 = 1./tan(proj_parm.sig);
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if (fabs(del = par.phi0 - proj_parm.sig) - epsilon10 >= half_pi)
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BOOST_THROW_EXCEPTION( projection_exception(error_lat_0_half_pi_from_mean) );
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proj_parm.rho_0 = proj_parm.c2 * (proj_parm.c1 - tan(del));
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break;
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case proj_vitk1:
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proj_parm.n = (cs = tan(del)) * sin(proj_parm.sig) / del;
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proj_parm.rho_c = del / (cs * tan(proj_parm.sig)) + proj_parm.sig;
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proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
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break;
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}
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par.es = 0;
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}
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// Euler
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template <typename Params, typename Parameters, typename T>
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inline void setup_euler(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_euler);
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}
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// Tissot
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template <typename Params, typename Parameters, typename T>
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inline void setup_tissot(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_tissot);
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}
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// Murdoch I
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template <typename Params, typename Parameters, typename T>
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inline void setup_murd1(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_murd1);
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}
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// Murdoch II
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template <typename Params, typename Parameters, typename T>
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inline void setup_murd2(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_murd2);
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}
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// Murdoch III
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template <typename Params, typename Parameters, typename T>
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inline void setup_murd3(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_murd3);
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}
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// Perspective Conic
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template <typename Params, typename Parameters, typename T>
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inline void setup_pconic(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_pconic);
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}
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// Vitkovsky I
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template <typename Params, typename Parameters, typename T>
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inline void setup_vitk1(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
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{
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setup(params, par, proj_parm, proj_vitk1);
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}
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}} // namespace detail::sconics
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#endif // doxygen
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/*!
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\brief Tissot 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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- Conic
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- Spheroid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel
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- lat_2: Latitude of second standard parallel
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\par Example
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\image html ex_tissot.gif
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*/
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template <typename T, typename Parameters>
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struct tissot_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
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{
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template <typename Params>
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inline tissot_spheroid(Params const& params, Parameters& par)
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{
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detail::sconics::setup_tissot(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Murdoch I 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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- Conic
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- Spheroid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel
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- lat_2: Latitude of second standard parallel
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\par Example
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\image html ex_murd1.gif
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*/
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template <typename T, typename Parameters>
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struct murd1_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
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{
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template <typename Params>
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inline murd1_spheroid(Params const& params, Parameters& par)
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{
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detail::sconics::setup_murd1(params, par, this->m_proj_parm);
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}
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};
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/*!
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\brief Murdoch II 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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- Conic
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- Spheroid
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\par Projection parameters
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- lat_1: Latitude of first standard parallel
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- lat_2: Latitude of second standard parallel
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\par Example
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\image html ex_murd2.gif
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*/
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template <typename T, typename Parameters>
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struct murd2_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline murd2_spheroid(Params const& params, Parameters& par)
|
||
|
|
{
|
||
|
|
detail::sconics::setup_murd2(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Murdoch III projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Conic
|
||
|
|
- Spheroid
|
||
|
|
\par Projection parameters
|
||
|
|
- lat_1: Latitude of first standard parallel
|
||
|
|
- lat_2: Latitude of second standard parallel
|
||
|
|
\par Example
|
||
|
|
\image html ex_murd3.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct murd3_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline murd3_spheroid(Params const& params, Parameters& par)
|
||
|
|
{
|
||
|
|
detail::sconics::setup_murd3(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Euler projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Conic
|
||
|
|
- Spheroid
|
||
|
|
\par Projection parameters
|
||
|
|
- lat_1: Latitude of first standard parallel
|
||
|
|
- lat_2: Latitude of second standard parallel
|
||
|
|
\par Example
|
||
|
|
\image html ex_euler.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct euler_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline euler_spheroid(Params const& params, Parameters& par)
|
||
|
|
{
|
||
|
|
detail::sconics::setup_euler(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Perspective Conic projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Conic
|
||
|
|
- Spheroid
|
||
|
|
\par Projection parameters
|
||
|
|
- lat_1: Latitude of first standard parallel
|
||
|
|
- lat_2: Latitude of second standard parallel
|
||
|
|
\par Example
|
||
|
|
\image html ex_pconic.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct pconic_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline pconic_spheroid(Params const& params, Parameters& par)
|
||
|
|
{
|
||
|
|
detail::sconics::setup_pconic(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Vitkovsky I projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Conic
|
||
|
|
- Spheroid
|
||
|
|
\par Projection parameters
|
||
|
|
- lat_1: Latitude of first standard parallel
|
||
|
|
- lat_2: Latitude of second standard parallel
|
||
|
|
\par Example
|
||
|
|
\image html ex_vitk1.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct vitk1_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline vitk1_spheroid(Params const& params, Parameters& par)
|
||
|
|
{
|
||
|
|
detail::sconics::setup_vitk1(params, par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
#ifndef DOXYGEN_NO_DETAIL
|
||
|
|
namespace detail
|
||
|
|
{
|
||
|
|
|
||
|
|
// Static projection
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_euler, euler_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd1, murd1_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd2, murd2_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd3, murd3_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_pconic, pconic_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_tissot, tissot_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_vitk1, vitk1_spheroid)
|
||
|
|
|
||
|
|
// Factory entry(s)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(euler_entry, euler_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd1_entry, murd1_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd2_entry, murd2_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd3_entry, murd3_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(pconic_entry, pconic_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tissot_entry, tissot_spheroid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(vitk1_entry, vitk1_spheroid)
|
||
|
|
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(sconics_init)
|
||
|
|
{
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(euler, euler_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd1, murd1_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd2, murd2_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd3, murd3_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(pconic, pconic_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tissot, tissot_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vitk1, vitk1_entry)
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
#endif // doxygen
|
||
|
|
|
||
|
|
} // namespace projections
|
||
|
|
|
||
|
|
}} // namespace boost::geometry
|
||
|
|
|
||
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_SCONICS_HPP
|
||
|
|
|