projections/proj/nell.hpp

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_NELL_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_NELL_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 nell
0056     {
0057
0058             static const int max_iter = 10;
0059             static const double loop_tol = 1e-7;
0060
0061             template <typename T, typename Parameters>
0062             struct base_nell_spheroid
0063             {
0064                 // FORWARD(s_forward)  spheroid
0065                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0066                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0067                 {
0068                     T k, V;
0069                     int i;
0070
0071                     k = 2. * sin(lp_lat);
0072                     V = lp_lat * lp_lat;
0073                     lp_lat *= 1.00371 + V * (-0.0935382 + V * -0.011412);
0074                     for (i = max_iter; i ; --i) {
0075                         lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
0076                             (1. + cos(lp_lat));
0077                         if (fabs(V) < loop_tol)
0078                             break;
0079                     }
0080                     xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
0081                     xy_y = lp_lat;
0082                 }
0083
0084                 // INVERSE(s_inverse)  spheroid
0085                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0086                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0087                 {
0088                     lp_lon = 2. * xy_x / (1. + cos(xy_y));
0089                     lp_lat = aasin(0.5 * (xy_y + sin(xy_y)));
0090                 }
0091
0092                 static inline std::string get_name()
0093                 {
0094                     return "nell_spheroid";
0095                 }
0096
0097             };
0098
0099             // Nell
0100             template <typename Parameters>
0101             inline void setup_nell(Parameters& par)
0102             {
0103                 par.es = 0;
0104             }
0105
0106     }} // namespace detail::nell
0107     #endif // doxygen
0108
0109     /*!
0110         \brief Nell projection
0111         \ingroup projections
0112         \tparam Geographic latlong point type
0113         \tparam Cartesian xy point type
0114         \tparam Parameters parameter type
0115         \par Projection characteristics
0116          - Pseudocylindrical
0117          - Spheroid
0118         \par Example
0119         \image html ex_nell.gif
0120     */
0121     template <typename T, typename Parameters>
0122     struct nell_spheroid : public detail::nell::base_nell_spheroid<T, Parameters>
0123     {
0124         template <typename Params>
0125         inline nell_spheroid(Params const& , Parameters & par)
0126         {
0127             detail::nell::setup_nell(par);
0128         }
0129     };
0130
0131     #ifndef DOXYGEN_NO_DETAIL
0132     namespace detail
0133     {
0134
0135         // Static projection
0136         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nell, nell_spheroid)
0137
0138         // Factory entry(s)
0139         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nell_entry, nell_spheroid)
0140
0141         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nell_init)
0142         {
0143             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nell, nell_entry)
0144         }
0145
0146     } // namespace detail
0147     #endif // doxygen
0148
0149 } // namespace projections
0150
0151 }} // namespace boost::geometry
0152
0153 #endif // BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
0154