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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_ECK2_HPP #define BOOST_GEOMETRY_PROJECTIONS_ECK2_HPP #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace eck2 { static const double FXC = 0.46065886596178063902; static const double FYC = 1.44720250911653531871; //static const double C13 = 0.33333333333333333333; static const double one_plus_eps = 1.0000001; template struct base_eck2_spheroid { // 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 { xy_x = FXC * lp_lon * (xy_y = sqrt(4. - 3. * sin(fabs(lp_lat)))); xy_y = FYC * (2. - xy_y); if ( lp_lat < 0.) xy_y = -xy_y; } // INVERSE(s_inverse) spheroid // Project coordinates from cartesian (x, y) to geographic (lon, lat) inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const { static const T half_pi = detail::half_pi(); static const T C13 = detail::third(); lp_lon = xy_x / (FXC * ( lp_lat = 2. - fabs(xy_y) / FYC) ); lp_lat = (4. - lp_lat * lp_lat) * C13; if (fabs(lp_lat) >= 1.) { if (fabs(lp_lat) > one_plus_eps) BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); else lp_lat = lp_lat < 0. ? -half_pi : half_pi; } else lp_lat = asin(lp_lat); if (xy_y < 0) lp_lat = -lp_lat; } static inline std::string get_name() { return "eck2_spheroid"; } }; // Eckert II template inline void setup_eck2(Parameters& par) { par.es = 0.; } }} // namespace detail::eck2 #endif // doxygen /*! \brief Eckert II projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Pseudocylindrical - Spheroid \par Example \image html ex_eck2.gif */ template struct eck2_spheroid : public detail::eck2::base_eck2_spheroid { template inline eck2_spheroid(Params const& , Parameters & par) { detail::eck2::setup_eck2(par); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck2, eck2_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck2_entry, eck2_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(eck2_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck2, eck2_entry); } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_ECK2_HPP