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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_WAG2_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_WAG2_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 wag2
0056     {
0057 
0058             static const double C_x = 0.92483;
0059             static const double C_y = 1.38725;
0060             static const double C_p1 = 0.88022;
0061             static const double C_p2 = 0.88550;
0062 
0063             template <typename T, typename Parameters>
0064             struct base_wag2_spheroid
0065             {
0066                 // FORWARD(s_forward)  spheroid
0067                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0068                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0069                 {
0070                     lp_lat = aasin(C_p1 * sin(C_p2 * lp_lat));
0071                     xy_x = C_x * lp_lon * cos(lp_lat);
0072                     xy_y = C_y * lp_lat;
0073                 }
0074 
0075                 // INVERSE(s_inverse)  spheroid
0076                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0077                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0078                 {
0079                     lp_lat = xy_y / C_y;
0080                     lp_lon = xy_x / (C_x * cos(lp_lat));
0081                     lp_lat = aasin(sin(lp_lat) / C_p1) / C_p2;
0082                 }
0083 
0084                 static inline std::string get_name()
0085                 {
0086                     return "wag2_spheroid";
0087                 }
0088 
0089             };
0090 
0091             // Wagner II
0092             template <typename Parameters>
0093             inline void setup_wag2(Parameters& par)
0094             {
0095                 par.es = 0.;
0096             }
0097 
0098     }} // namespace detail::wag2
0099     #endif // doxygen
0100 
0101     /*!
0102         \brief Wagner II projection
0103         \ingroup projections
0104         \tparam Geographic latlong point type
0105         \tparam Cartesian xy point type
0106         \tparam Parameters parameter type
0107         \par Projection characteristics
0108          - Pseudocylindrical
0109          - Spheroid
0110         \par Example
0111         \image html ex_wag2.gif
0112     */
0113     template <typename T, typename Parameters>
0114     struct wag2_spheroid : public detail::wag2::base_wag2_spheroid<T, Parameters>
0115     {
0116         template <typename Params>
0117         inline wag2_spheroid(Params const& , Parameters & par)
0118         {
0119             detail::wag2::setup_wag2(par);
0120         }
0121     };
0122 
0123     #ifndef DOXYGEN_NO_DETAIL
0124     namespace detail
0125     {
0126 
0127         // Static projection
0128         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag2, wag2_spheroid)
0129 
0130         // Factory entry(s)
0131         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag2_entry, wag2_spheroid)
0132 
0133         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(wag2_init)
0134         {
0135             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag2, wag2_entry)
0136         }
0137 
0138     } // namespace detail
0139     #endif // doxygen
0140 
0141 } // namespace projections
0142 
0143 }} // namespace boost::geometry
0144 
0145 #endif // BOOST_GEOMETRY_PROJECTIONS_WAG2_HPP
0146