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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, 2022. // Modifications copyright (c) 2017-2022, Oracle and/or its affiliates. // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle. // 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_MERC_HPP #define BOOST_GEOMETRY_PROJECTIONS_MERC_HPP #include #include #include #include #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace merc { static const double epsilon10 = 1.e-10; template struct base_merc_ellipsoid { // FORWARD(e_forward) ellipsoid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { static const T half_pi = detail::half_pi(); if (fabs(fabs(lp_lat) - half_pi) <= epsilon10) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } xy_x = par.k0 * lp_lon; xy_y = - par.k0 * log(pj_tsfn(lp_lat, sin(lp_lat), par.e)); } // INVERSE(e_inverse) ellipsoid // Project coordinates from cartesian (x, y) to geographic (lon, lat) inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const { if ((lp_lat = pj_phi2(exp(- xy_y / par.k0), par.e)) == HUGE_VAL) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } lp_lon = xy_x / par.k0; } static inline std::string get_name() { return "merc_ellipsoid"; } }; template struct base_merc_spheroid { // FORWARD(s_forward) spheroid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { static const T half_pi = detail::half_pi(); static const T fourth_pi = detail::fourth_pi(); if (fabs(fabs(lp_lat) - half_pi) <= epsilon10) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } xy_x = par.k0 * lp_lon; xy_y = par.k0 * log(tan(fourth_pi + .5 * lp_lat)); } // INVERSE(s_inverse) spheroid // Project coordinates from cartesian (x, y) to geographic (lon, lat) inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const { static const T half_pi = detail::half_pi(); lp_lat = half_pi - 2. * atan(exp(-xy_y / par.k0)); lp_lon = xy_x / par.k0; } static inline std::string get_name() { return "merc_spheroid"; } }; // Mercator template inline void setup_merc(Params const& params, Parameters& par) { typedef typename Parameters::type calc_t; static const calc_t half_pi = detail::half_pi(); calc_t phits=0.0; int is_phits; if( (is_phits = pj_param_r(params, "lat_ts", srs::dpar::lat_ts, phits)) ) { phits = fabs(phits); if (phits >= half_pi) BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) ); } if (par.es != 0.0) { /* ellipsoid */ if (is_phits) par.k0 = pj_msfn(sin(phits), cos(phits), par.es); } else { /* sphere */ if (is_phits) par.k0 = cos(phits); } } }} // namespace detail::merc #endif // doxygen /*! \brief Mercator projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Cylindrical - Spheroid - Ellipsoid \par Projection parameters - lat_ts: Latitude of true scale (degrees) \par Example \image html ex_merc.gif */ template struct merc_ellipsoid : public detail::merc::base_merc_ellipsoid { template inline merc_ellipsoid(Params const& params, Parameters & par) { detail::merc::setup_merc(params, par); } }; /*! \brief Mercator projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Cylindrical - Spheroid - Ellipsoid \par Projection parameters - lat_ts: Latitude of true scale (degrees) \par Example \image html ex_merc.gif */ template struct merc_spheroid : public detail::merc::base_merc_spheroid { template inline merc_spheroid(Params const& params, Parameters & par) { detail::merc::setup_merc(params, par); } }; /*! \brief Web Mercator projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Cylindrical - Spheroid - Ellipsoid */ template struct webmerc_spheroid : public detail::merc::base_merc_spheroid { template inline webmerc_spheroid(Params const&, Parameters & par) { par.k0 = 1; } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_merc, merc_spheroid, merc_ellipsoid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_webmerc, webmerc_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(merc_entry, merc_spheroid, merc_ellipsoid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(webmerc_entry, webmerc_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(merc_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(merc, merc_entry) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(webmerc, webmerc_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_MERC_HPP