ceph/src/boost/boost/geometry/srs/projections/proj/nell.hpp

   1 // Boost.Geometry - gis-projections (based on PROJ4)
   2
   3 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
   4
   5 // This file was modified by Oracle on 2017, 2018, 2019.
   6 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
   7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
   8
   9 // Use, modification and distribution is subject to the Boost Software License,
  10 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  11 // http://www.boost.org/LICENSE_1_0.txt)
  12
  13 // This file is converted from PROJ4, http://trac.osgeo.org/proj
  14 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
  15 // PROJ4 is maintained by Frank Warmerdam
  16 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
  17
  18 // Last updated version of proj: 5.0.0
  19
  20 // Original copyright notice:
  21
  22 // Permission is hereby granted, free of charge, to any person obtaining a
  23 // copy of this software and associated documentation files (the "Software"),
  24 // to deal in the Software without restriction, including without limitation
  25 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  26 // and/or sell copies of the Software, and to permit persons to whom the
  27 // Software is furnished to do so, subject to the following conditions:
  28
  29 // The above copyright notice and this permission notice shall be included
  30 // in all copies or substantial portions of the Software.
  31
  32 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
  33 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  34 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  35 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  36 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
  37 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
  38 // DEALINGS IN THE SOFTWARE.
  39
  40 #ifndef BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
  42
  43 #include <boost/geometry/srs/projections/impl/base_static.hpp>
  44 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  45 #include <boost/geometry/srs/projections/impl/projects.hpp>
  46 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  47 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
  48
  49 namespace boost { namespace geometry
  50 {
  51
  52 namespace projections
  53 {
  54     #ifndef DOXYGEN_NO_DETAIL
  55     namespace detail { namespace nell
  56     {
  57
  58             static const int max_iter = 10;
  59             static const double loop_tol = 1e-7;
  60
  61             template <typename T, typename Parameters>
  62             struct base_nell_spheroid
  63             {
  64                 // FORWARD(s_forward)  spheroid
  65                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  66                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  67                 {
  68                     T k, V;
  69                     int i;
  70
  71                     k = 2. * sin(lp_lat);
  72                     V = lp_lat * lp_lat;
  73                     lp_lat *= 1.00371 + V * (-0.0935382 + V * -0.011412);
  74                     for (i = max_iter; i ; --i) {
  75                         lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
  76                             (1. + cos(lp_lat));
  77                         if (fabs(V) < loop_tol)
  78                             break;
  79                     }
  80                     xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
  81                     xy_y = lp_lat;
  82                 }
  83
  84                 // INVERSE(s_inverse)  spheroid
  85                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  86                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  87                 {
  88                     lp_lon = 2. * xy_x / (1. + cos(xy_y));
  89                     lp_lat = aasin(0.5 * (xy_y + sin(xy_y)));
  90                 }
  91
  92                 static inline std::string get_name()
  93                 {
  94                     return "nell_spheroid";
  95                 }
  96
  97             };
  98
  99             // Nell
 100             template <typename Parameters>
 101             inline void setup_nell(Parameters& par)
 102             {
 103                 par.es = 0;
 104             }
 105
 106     }} // namespace detail::nell
 107     #endif // doxygen
 108
 109     /*!
 110         \brief Nell projection
 111         \ingroup projections
 112         \tparam Geographic latlong point type
 113         \tparam Cartesian xy point type
 114         \tparam Parameters parameter type
 115         \par Projection characteristics
 116          - Pseudocylindrical
 117          - Spheroid
 118         \par Example
 119         \image html ex_nell.gif
 120     */
 121     template <typename T, typename Parameters>
 122     struct nell_spheroid : public detail::nell::base_nell_spheroid<T, Parameters>
 123     {
 124         template <typename Params>
 125         inline nell_spheroid(Params const& , Parameters & par)
 126         {
 127             detail::nell::setup_nell(par);
 128         }
 129     };
 130
 131     #ifndef DOXYGEN_NO_DETAIL
 132     namespace detail
 133     {
 134
 135         // Static projection
 136         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nell, nell_spheroid)
 137
 138         // Factory entry(s)
 139         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nell_entry, nell_spheroid)
 140
 141         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nell_init)
 142         {
 143             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nell, nell_entry)
 144         }
 145
 146     } // namespace detail
 147     #endif // doxygen
 148
 149 } // namespace projections
 150
 151 }} // namespace boost::geometry
 152
 153 #endif // BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
 154