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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_ECK1_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_ECK1_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 
0048 namespace boost { namespace geometry
0049 {
0050 
0051 namespace projections
0052 {
0053     #ifndef DOXYGEN_NO_DETAIL
0054     namespace detail { namespace eck1
0055     {
0056 
0057             static const double FC = .92131773192356127802;
0058             static const double RP = .31830988618379067154;
0059 
0060             template <typename T, typename Parameters>
0061             struct base_eck1_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 = FC * lp_lon * (1. - RP * fabs(lp_lat));
0068                     xy_y = FC * lp_lat;
0069                 }
0070 
0071                 // INVERSE(s_inverse)  spheroid
0072                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0073                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0074                 {
0075                     lp_lat = xy_y / FC;
0076                     lp_lon = xy_x / (FC * (1. - RP * fabs(lp_lat)));
0077                 }
0078 
0079                 static inline std::string get_name()
0080                 {
0081                     return "eck1_spheroid";
0082                 }
0083 
0084             };
0085 
0086             // Eckert I
0087             template <typename Parameters>
0088             inline void setup_eck1(Parameters& par)
0089             {
0090                 par.es = 0.;
0091             }
0092 
0093     }} // namespace detail::eck1
0094     #endif // doxygen
0095 
0096     /*!
0097         \brief Eckert I projection
0098         \ingroup projections
0099         \tparam Geographic latlong point type
0100         \tparam Cartesian xy point type
0101         \tparam Parameters parameter type
0102         \par Projection characteristics
0103          - Pseudocylindrical
0104          - Spheroid
0105         \par Example
0106         \image html ex_eck1.gif
0107     */
0108     template <typename T, typename Parameters>
0109     struct eck1_spheroid : public detail::eck1::base_eck1_spheroid<T, Parameters>
0110     {
0111         template <typename Params>
0112         inline eck1_spheroid(Params const& , Parameters & par)
0113         {
0114             detail::eck1::setup_eck1(par);
0115         }
0116     };
0117 
0118     #ifndef DOXYGEN_NO_DETAIL
0119     namespace detail
0120     {
0121 
0122         // Static projection
0123         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck1, eck1_spheroid)
0124 
0125         // Factory entry(s)
0126         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck1_entry, eck1_spheroid)
0127 
0128         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(eck1_init)
0129         {
0130             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck1, eck1_entry);
0131         }
0132 
0133     } // namespace detail
0134     #endif // doxygen
0135 
0136 } // namespace projections
0137 
0138 }} // namespace boost::geometry
0139 
0140 #endif // BOOST_GEOMETRY_PROJECTIONS_ECK1_HPP
0141