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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_MOLL_HPP #define BOOST_GEOMETRY_PROJECTIONS_MOLL_HPP #include #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace moll { static const int max_iter = 10; static const double loop_tol = 1e-7; template struct par_moll { T C_x, C_y, C_p; }; template struct base_moll_spheroid { par_moll 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 lp_lat, T& xy_x, T& xy_y) const { static const T half_pi = detail::half_pi(); T k, V; int i; k = this->m_proj_parm.C_p * sin(lp_lat); for (i = max_iter; i ; --i) { lp_lat -= V = (lp_lat + sin(lp_lat) - k) / (1. + cos(lp_lat)); if (fabs(V) < loop_tol) break; } if (!i) lp_lat = (lp_lat < 0.) ? -half_pi : half_pi; else lp_lat *= 0.5; xy_x = this->m_proj_parm.C_x * lp_lon * cos(lp_lat); xy_y = this->m_proj_parm.C_y * 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 { static const T pi = detail::pi(); lp_lat = aasin(xy_y / this->m_proj_parm.C_y); lp_lon = xy_x / (this->m_proj_parm.C_x * cos(lp_lat)); if (fabs(lp_lon) < pi) { lp_lat += lp_lat; lp_lat = aasin((lp_lat + sin(lp_lat)) / this->m_proj_parm.C_p); } else { lp_lon = lp_lat = HUGE_VAL; } } static inline std::string get_name() { return "moll_spheroid"; } }; template inline void setup(Parameters& par, par_moll& proj_parm, T const& p) { T r, sp, p2 = p + p; par.es = 0; sp = sin(p); r = sqrt(geometry::math::two_pi() * sp / (p2 + sin(p2))); proj_parm.C_x = 2. * r / geometry::math::pi(); proj_parm.C_y = r / sp; proj_parm.C_p = p2 + sin(p2); } // Mollweide template inline void setup_moll(Parameters& par, par_moll& proj_parm) { setup(par, proj_parm, geometry::math::half_pi()); } // Wagner IV template inline void setup_wag4(Parameters& par, par_moll& proj_parm) { setup(par, proj_parm, geometry::math::pi()/3.); } // Wagner V template inline void setup_wag5(Parameters& par, par_moll& proj_parm) { par.es = 0; proj_parm.C_x = 0.90977; proj_parm.C_y = 1.65014; proj_parm.C_p = 3.00896; } }} // namespace detail::moll #endif // doxygen /*! \brief Mollweide 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_moll.gif */ template struct moll_spheroid : public detail::moll::base_moll_spheroid { template inline moll_spheroid(Params const& , Parameters & par) { detail::moll::setup_moll(par, this->m_proj_parm); } }; /*! \brief Wagner IV 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_wag4.gif */ template struct wag4_spheroid : public detail::moll::base_moll_spheroid { template inline wag4_spheroid(Params const& , Parameters & par) { detail::moll::setup_wag4(par, this->m_proj_parm); } }; /*! \brief Wagner V 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_wag5.gif */ template struct wag5_spheroid : public detail::moll::base_moll_spheroid { template inline wag5_spheroid(Params const& , Parameters & par) { detail::moll::setup_wag5(par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_moll, moll_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag4, wag4_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag5, wag5_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(moll_entry, moll_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag4_entry, wag4_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag5_entry, wag5_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(moll_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(moll, moll_entry); BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag4, wag4_entry); BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag5, wag5_entry); } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_MOLL_HPP