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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_HATANO_HPP #define BOOST_GEOMETRY_PROJECTIONS_HATANO_HPP #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace hatano { static const int n_iter = 20; static const double epsilon = 1e-7; static const double one_plus_tol = 1.000001; static const double CN_ = 2.67595; static const double CS_ = 2.43763; static const double RCN = 0.37369906014686373063; static const double RCS = 0.41023453108141924738; static const double FYCN = 1.75859; static const double FYCS = 1.93052; static const double RYCN = 0.56863737426006061674; static const double RYCS = 0.51799515156538134803; static const double FXC = 0.85; static const double RXC = 1.17647058823529411764; template struct base_hatano_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 lp_lat, T& xy_x, T& xy_y) const { T th1, c; int i; c = sin(lp_lat) * (lp_lat < 0. ? CS_ : CN_); for (i = n_iter; i; --i) { lp_lat -= th1 = (lp_lat + sin(lp_lat) - c) / (1. + cos(lp_lat)); if (fabs(th1) < epsilon) break; } xy_x = FXC * lp_lon * cos(lp_lat *= .5); xy_y = sin(lp_lat) * (lp_lat < 0. ? FYCS : FYCN); } // 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 T const half_pi = detail::half_pi(); T th; th = xy_y * ( xy_y < 0. ? RYCS : RYCN); if (fabs(th) > 1.) { if (fabs(th) > one_plus_tol) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } else { th = th > 0. ? half_pi : - half_pi; } } else { th = asin(th); } lp_lon = RXC * xy_x / cos(th); th += th; lp_lat = (th + sin(th)) * (xy_y < 0. ? RCS : RCN); if (fabs(lp_lat) > 1.) { if (fabs(lp_lat) > one_plus_tol) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } else { lp_lat = lp_lat > 0. ? half_pi : - half_pi; } } else { lp_lat = asin(lp_lat); } } static inline std::string get_name() { return "hatano_spheroid"; } }; // Hatano Asymmetrical Equal Area template inline void setup_hatano(Parameters& par) { par.es = 0.; } }} // namespace detail::hatano #endif // doxygen /*! \brief Hatano Asymmetrical Equal Area 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_hatano.gif */ template struct hatano_spheroid : public detail::hatano::base_hatano_spheroid { template inline hatano_spheroid(Params const& , Parameters & par) { detail::hatano::setup_hatano(par); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_hatano, hatano_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(hatano_entry, hatano_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(hatano_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(hatano, hatano_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_HATANO_HPP