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// Boost.Geometry - gis-projections (based on PROJ4) // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands. // This file was modified by Oracle on 2017, 2018, 2019. // Modifications copyright (c) 2017-2019, 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: 5.0.0 // 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. #ifndef BOOST_GEOMETRY_PROJECTIONS_VANDG2_HPP #define BOOST_GEOMETRY_PROJECTIONS_VANDG2_HPP #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace vandg2 { static const double tolerance = 1e-10; struct par_vandg2 { bool vdg3; }; template struct base_vandg2_spheroid { par_vandg2 m_proj_parm; // FORWARD(s_forward) spheroid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { static const T pi = detail::pi(); static const T two_div_pi = detail::two_div_pi(); T x1, at, bt, ct; bt = fabs(two_div_pi * lp_lat); if ((ct = 1. - bt * bt) < 0.) ct = 0.; else ct = sqrt(ct); if (fabs(lp_lon) < tolerance) { xy_x = 0.; xy_y = pi * (lp_lat < 0. ? -bt : bt) / (1. + ct); } else { at = 0.5 * fabs(pi / lp_lon - lp_lon / pi); if (this->m_proj_parm.vdg3) { x1 = bt / (1. + ct); xy_x = pi * (sqrt(at * at + 1. - x1 * x1) - at); xy_y = pi * x1; } else { x1 = (ct * sqrt(1. + at * at) - at * ct * ct) / (1. + at * at * bt * bt); xy_x = pi * x1; xy_y = pi * sqrt(1. - x1 * (x1 + 2. * at) + tolerance); } if ( lp_lon < 0.) xy_x = -xy_x; if ( lp_lat < 0.) xy_y = -xy_y; } } static inline std::string get_name() { return "vandg2_spheroid"; } }; // van der Grinten II inline void setup_vandg2(par_vandg2& proj_parm) { proj_parm.vdg3 = false; } // van der Grinten III template inline void setup_vandg3(Parameters& par, par_vandg2& proj_parm) { proj_parm.vdg3 = true; par.es = 0.; } }} // namespace detail::vandg2 #endif // doxygen /*! \brief van der Grinten II projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Miscellaneous - Spheroid - no inverse \par Example \image html ex_vandg2.gif */ template struct vandg2_spheroid : public detail::vandg2::base_vandg2_spheroid { template inline vandg2_spheroid(Params const& , Parameters const& ) { detail::vandg2::setup_vandg2(this->m_proj_parm); } }; /*! \brief van der Grinten III projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Miscellaneous - Spheroid - no inverse \par Example \image html ex_vandg3.gif */ template struct vandg3_spheroid : public detail::vandg2::base_vandg2_spheroid { template inline vandg3_spheroid(Params const& , Parameters & par) { detail::vandg2::setup_vandg3(par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_vandg2, vandg2_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_vandg3, vandg3_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(vandg2_entry, vandg2_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(vandg3_entry, vandg3_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(vandg2_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vandg2, vandg2_entry) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vandg3, vandg3_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_VANDG2_HPP