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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_LAGRNG_HPP #define BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP #include #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace lagrng { static const double tolerance = 1e-10; template struct par_lagrng { T a1; T rw; T hrw; }; template struct base_lagrng_spheroid { par_lagrng 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 lp_lat, T& xy_x, T& xy_y) const { static const T half_pi = detail::half_pi(); T v, c; if (fabs(fabs(lp_lat) - half_pi) < tolerance) { xy_x = 0; xy_y = lp_lat < 0 ? -2. : 2.; } else { lp_lat = sin(lp_lat); v = this->m_proj_parm.a1 * math::pow((T(1) + lp_lat)/(T(1) - lp_lat), this->m_proj_parm.hrw); if ((c = 0.5 * (v + 1./v) + cos(lp_lon *= this->m_proj_parm.rw)) < tolerance) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } xy_x = 2. * sin(lp_lon) / c; xy_y = (v - 1./v) / c; } } static inline std::string get_name() { return "lagrng_spheroid"; } }; // Lagrange template inline void setup_lagrng(Params const& params, Parameters& par, par_lagrng& proj_parm) { T phi1; proj_parm.rw = 0.0; bool is_w_set = pj_param_f(params, "W", srs::dpar::w, proj_parm.rw); // Boost.Geometry specific, set default parameters manually if (! is_w_set) { bool const use_defaults = ! pj_get_param_b(params, "no_defs", srs::dpar::no_defs); if (use_defaults) { proj_parm.rw = 2; } } if (proj_parm.rw <= 0) BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) ); proj_parm.rw = 1. / proj_parm.rw; proj_parm.hrw = 0.5 * proj_parm.rw; phi1 = pj_get_param_r(params, "lat_1", srs::dpar::lat_1); if (fabs(fabs(phi1 = sin(phi1)) - 1.) < tolerance) BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) ); proj_parm.a1 = math::pow((T(1) - phi1)/(T(1) + phi1), proj_parm.hrw); par.es = 0.; } }} // namespace detail::lagrng #endif // doxygen /*! \brief Lagrange 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) - lat_1: Latitude of first standard parallel (degrees) \par Example \image html ex_lagrng.gif */ template struct lagrng_spheroid : public detail::lagrng::base_lagrng_spheroid { template inline lagrng_spheroid(Params const& params, Parameters & par) { detail::lagrng::setup_lagrng(params, par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_lagrng, lagrng_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(lagrng_entry, lagrng_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lagrng_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lagrng, lagrng_entry); } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP