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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_SOMERC_HPP #define BOOST_GEOMETRY_PROJECTIONS_SOMERC_HPP #include #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace somerc { static const double epsilon = 1.e-10; static const int n_iter = 6; template struct par_somerc { T K, c, hlf_e, kR, cosp0, sinp0; }; template struct base_somerc_ellipsoid { par_somerc m_proj_parm; // FORWARD(e_forward) // 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 fourth_pi = detail::fourth_pi(); static const T half_pi = detail::half_pi(); T phip, lamp, phipp, lampp, sp, cp; sp = par.e * sin(lp_lat); phip = 2.* atan( exp( this->m_proj_parm.c * ( log(tan(fourth_pi + 0.5 * lp_lat)) - this->m_proj_parm.hlf_e * log((1. + sp)/(1. - sp))) + this->m_proj_parm.K)) - half_pi; lamp = this->m_proj_parm.c * lp_lon; cp = cos(phip); phipp = aasin(this->m_proj_parm.cosp0 * sin(phip) - this->m_proj_parm.sinp0 * cp * cos(lamp)); lampp = aasin(cp * sin(lamp) / cos(phipp)); xy_x = this->m_proj_parm.kR * lampp; xy_y = this->m_proj_parm.kR * log(tan(fourth_pi + 0.5 * phipp)); } // INVERSE(e_inverse) ellipsoid & 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 fourth_pi = detail::fourth_pi(); T phip, lamp, phipp, lampp, cp, esp, con, delp; int i; phipp = 2. * (atan(exp(xy_y / this->m_proj_parm.kR)) - fourth_pi); lampp = xy_x / this->m_proj_parm.kR; cp = cos(phipp); phip = aasin(this->m_proj_parm.cosp0 * sin(phipp) + this->m_proj_parm.sinp0 * cp * cos(lampp)); lamp = aasin(cp * sin(lampp) / cos(phip)); con = (this->m_proj_parm.K - log(tan(fourth_pi + 0.5 * phip)))/this->m_proj_parm.c; for (i = n_iter; i ; --i) { esp = par.e * sin(phip); delp = (con + log(tan(fourth_pi + 0.5 * phip)) - this->m_proj_parm.hlf_e * log((1. + esp)/(1. - esp)) ) * (1. - esp * esp) * cos(phip) * par.rone_es; phip -= delp; if (fabs(delp) < epsilon) break; } if (i) { lp_lat = phip; lp_lon = lamp / this->m_proj_parm.c; } else { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } } static inline std::string get_name() { return "somerc_ellipsoid"; } }; // Swiss. Obl. Mercator template inline void setup_somerc(Parameters const& par, par_somerc& proj_parm) { static const T fourth_pi = detail::fourth_pi(); T cp, phip0, sp; proj_parm.hlf_e = 0.5 * par.e; cp = cos(par.phi0); cp *= cp; proj_parm.c = sqrt(1 + par.es * cp * cp * par.rone_es); sp = sin(par.phi0); proj_parm.cosp0 = cos( phip0 = aasin(proj_parm.sinp0 = sp / proj_parm.c) ); sp *= par.e; proj_parm.K = log(tan(fourth_pi + 0.5 * phip0)) - proj_parm.c * ( log(tan(fourth_pi + 0.5 * par.phi0)) - proj_parm.hlf_e * log((1. + sp) / (1. - sp))); proj_parm.kR = par.k0 * sqrt(par.one_es) / (1. - sp * sp); } }} // namespace detail::somerc #endif // doxygen /*! \brief Swiss. Obl. Mercator projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Cylindrical - Ellipsoid - For CH1903 \par Example \image html ex_somerc.gif */ template struct somerc_ellipsoid : public detail::somerc::base_somerc_ellipsoid { template inline somerc_ellipsoid(Params const& , Parameters const& par) { detail::somerc::setup_somerc(par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_somerc, somerc_ellipsoid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(somerc_entry, somerc_ellipsoid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(somerc_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(somerc, somerc_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_SOMERC_HPP