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0001 // Boost.Geometry - gis-projections (based on PROJ4)
0002 
0003 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
0004 
0005 // This file was modified by Oracle on 2017, 2018, 2019.
0006 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
0007 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
0008 
0009 // Use, modification and distribution is subject to the Boost Software License,
0010 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
0011 // http://www.boost.org/LICENSE_1_0.txt)
0012 
0013 // This file is converted from PROJ4, http://trac.osgeo.org/proj
0014 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
0015 // PROJ4 is maintained by Frank Warmerdam
0016 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
0017 
0018 // Last updated version of proj: 5.0.0
0019 
0020 // Original copyright notice:
0021 
0022 // Permission is hereby granted, free of charge, to any person obtaining a
0023 // copy of this software and associated documentation files (the "Software"),
0024 // to deal in the Software without restriction, including without limitation
0025 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
0026 // and/or sell copies of the Software, and to permit persons to whom the
0027 // Software is furnished to do so, subject to the following conditions:
0028 
0029 // The above copyright notice and this permission notice shall be included
0030 // in all copies or substantial portions of the Software.
0031 
0032 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
0033 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
0034 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
0035 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
0036 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
0037 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
0038 // DEALINGS IN THE SOFTWARE.
0039 
0040 #ifndef BOOST_GEOMETRY_PROJECTIONS_FAHEY_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_FAHEY_HPP
0042 
0043 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0044 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0045 #include <boost/geometry/srs/projections/impl/projects.hpp>
0046 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0047 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
0048 
0049 namespace boost { namespace geometry
0050 {
0051 
0052 namespace projections
0053 {
0054     #ifndef DOXYGEN_NO_DETAIL
0055     namespace detail { namespace fahey
0056     {
0057 
0058             static const double tolerance = 1e-6;
0059 
0060             template <typename T, typename Parameters>
0061             struct base_fahey_spheroid
0062             {
0063                 // FORWARD(s_forward)  spheroid
0064                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0065                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
0066                 {
0067                     xy_x = tan(0.5 * lp_lat);
0068                     xy_y = 1.819152 * xy_x;
0069                     xy_x = 0.819152 * lp_lon * asqrt(1 - xy_x * xy_x);
0070                 }
0071 
0072                 // INVERSE(s_inverse)  spheroid
0073                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0074                 inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
0075                 {
0076                     xy_y /= 1.819152;
0077                     lp_lat = 2. * atan(xy_y);
0078                     xy_y = 1. - xy_y * xy_y;
0079                     lp_lon = fabs(xy_y) < tolerance ? 0. : xy_x / (0.819152 * sqrt(xy_y));
0080                 }
0081 
0082                 static inline std::string get_name()
0083                 {
0084                     return "fahey_spheroid";
0085                 }
0086 
0087             };
0088 
0089             // Fahey
0090             template <typename Parameters>
0091             inline void setup_fahey(Parameters& par)
0092             {
0093                 par.es = 0.;
0094             }
0095 
0096     }} // namespace detail::fahey
0097     #endif // doxygen
0098 
0099     /*!
0100         \brief Fahey projection
0101         \ingroup projections
0102         \tparam Geographic latlong point type
0103         \tparam Cartesian xy point type
0104         \tparam Parameters parameter type
0105         \par Projection characteristics
0106          - Pseudocylindrical
0107          - Spheroid
0108         \par Example
0109         \image html ex_fahey.gif
0110     */
0111     template <typename T, typename Parameters>
0112     struct fahey_spheroid : public detail::fahey::base_fahey_spheroid<T, Parameters>
0113     {
0114         template <typename Params>
0115         inline fahey_spheroid(Params const& , Parameters & par)
0116         {
0117             detail::fahey::setup_fahey(par);
0118         }
0119     };
0120 
0121     #ifndef DOXYGEN_NO_DETAIL
0122     namespace detail
0123     {
0124 
0125         // Static projection
0126         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_fahey, fahey_spheroid)
0127 
0128         // Factory entry(s)
0129         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(fahey_entry, fahey_spheroid)
0130 
0131         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(fahey_init)
0132         {
0133             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(fahey, fahey_entry);
0134         }
0135 
0136     } // namespace detail
0137     #endif // doxygen
0138 
0139 } // namespace projections
0140 
0141 }} // namespace boost::geometry
0142 
0143 #endif // BOOST_GEOMETRY_PROJECTIONS_FAHEY_HPP
0144