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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_HAMMER_HPP #define BOOST_GEOMETRY_PROJECTIONS_HAMMER_HPP #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace hammer { static const double epsilon = 1.0e-10; template struct par_hammer { T w; T m, rm; }; template struct base_hammer_spheroid { par_hammer m_proj_parm; // FORWARD(s_forward) spheroid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& , T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { T cosphi, d; d = sqrt(2./(1. + (cosphi = cos(lp_lat)) * cos(lp_lon *= this->m_proj_parm.w))); xy_x = this->m_proj_parm.m * d * cosphi * sin(lp_lon); xy_y = this->m_proj_parm.rm * d * sin(lp_lat); } // 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 { T z; z = sqrt(1. - 0.25*this->m_proj_parm.w*this->m_proj_parm.w*xy_x*xy_x - 0.25*xy_y*xy_y); if (geometry::math::abs(2.*z*z-1.) < epsilon) { lp_lon = HUGE_VAL; lp_lat = HUGE_VAL; BOOST_THROW_EXCEPTION( projection_exception(error_lat_or_lon_exceed_limit) ); } else { lp_lon = aatan2(this->m_proj_parm.w * xy_x * z,2. * z * z - 1)/this->m_proj_parm.w; lp_lat = aasin(z * xy_y); } } static inline std::string get_name() { return "hammer_spheroid"; } }; // Hammer & Eckert-Greifendorff template inline void setup_hammer(Params const& params, Parameters& par, par_hammer& proj_parm) { T tmp; if (pj_param_f(params, "W", srs::dpar::w, tmp)) { if ((proj_parm.w = fabs(tmp)) <= 0.) BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) ); } else proj_parm.w = .5; if (pj_param_f(params, "M", srs::dpar::m, tmp)) { if ((proj_parm.m = fabs(tmp)) <= 0.) BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) ); } else proj_parm.m = 1.; proj_parm.rm = 1. / proj_parm.m; proj_parm.m /= proj_parm.w; par.es = 0.; } }} // namespace detail::hammer #endif // doxygen /*! \brief Hammer & Eckert-Greifendorff 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 Projection parameters - W (real) - M (real) \par Example \image html ex_hammer.gif */ template struct hammer_spheroid : public detail::hammer::base_hammer_spheroid { template inline hammer_spheroid(Params const& params, Parameters & par) { detail::hammer::setup_hammer(params, par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_hammer, hammer_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(hammer_entry, hammer_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(hammer_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(hammer, hammer_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_HAMMER_HPP