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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_MBTFPQ_HPP #define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace mbtfpq { static const int n_iter = 20; static const double epsilon = 1e-7; static const double one_plus_tol = 1.000001; static const double C = 1.70710678118654752440; static const double RC = 0.58578643762690495119; static const double FYC = 1.87475828462269495505; static const double RYC = 0.53340209679417701685; static const double FXC = 0.31245971410378249250; static const double RXC = 3.20041258076506210122; template struct base_mbtfpq_spheroid { // 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 { T th1, c; int i; c = C * sin(lp_lat); for (i = n_iter; i; --i) { lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) / (.5*cos(.5*lp_lat) + cos(lp_lat)); if (fabs(th1) < epsilon) break; } xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat)); xy_y = FYC * sin(0.5 * 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(); static const T half_pi = detail::half_pi(); T t; lp_lat = RYC * xy_y; if (fabs(lp_lat) > 1.) { if (fabs(lp_lat) > one_plus_tol) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } else if (lp_lat < 0.) { t = -1.; lp_lat = -pi; } else { t = 1.; lp_lat = pi; } } else lp_lat = 2. * asin(t = lp_lat); lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat)); lp_lat = RC * (t + sin(lp_lat)); if (fabs(lp_lat) > 1.) if (fabs(lp_lat) > one_plus_tol) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } else lp_lat = lp_lat < 0. ? -half_pi : half_pi; else lp_lat = asin(lp_lat); } static inline std::string get_name() { return "mbtfpq_spheroid"; } }; // McBryde-Thomas Flat-Polar Quartic template inline void setup_mbtfpq(Parameters& par) { par.es = 0.; } }} // namespace detail::mbtfpq #endif // doxygen /*! \brief McBryde-Thomas Flat-Polar Quartic projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Cylindrical - Spheroid \par Example \image html ex_mbtfpq.gif */ template struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid { template inline mbtfpq_spheroid(Params const& , Parameters & par) { detail::mbtfpq::setup_mbtfpq(par); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq, mbtfpq_spheroid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpq_entry, mbtfpq_spheroid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpq_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpq, mbtfpq_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP