ceph/src/boost/boost/geometry/srs/projections/proj/mbt_fps.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_MBT_FPS_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_MBT_FPS_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 mbt_fps
  56     {
  57
  58             static const int max_iter = 10;
  59             static const double loop_tol = 1e-7;
  60             static const double C1 = 0.45503;
  61             static const double C2 = 1.36509;
  62             static const double C3 = 1.41546;
  63             static const double C_x = 0.22248;
  64             static const double C_y = 1.44492;
  65             //static const double C1_2 = 0.33333333333333333333333333;
  66
  67             template <typename T>
  68             inline T C1_2() { return detail::third<T>(); }
  69
  70             template <typename T, typename Parameters>
  71             struct base_mbt_fps_spheroid
  72             {
  73                 // FORWARD(s_forward)  spheroid
  74                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  75                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  76                 {
  77                     static const T C1_2 = mbt_fps::C1_2<T>();
  78
  79                     T k, V, t;
  80                     int i;
  81
  82                     k = C3 * sin(lp_lat);
  83                     for (i = max_iter; i ; --i) {
  84                         t = lp_lat / C2;
  85                         lp_lat -= V = (C1 * sin(t) + sin(lp_lat) - k) /
  86                             (C1_2 * cos(t) + cos(lp_lat));
  87                         if (fabs(V) < loop_tol)
  88                             break;
  89                     }
  90                     t = lp_lat / C2;
  91                     xy_x = C_x * lp_lon * (1. + 3. * cos(lp_lat)/cos(t) );
  92                     xy_y = C_y * sin(t);
  93                 }
  94
  95                 // INVERSE(s_inverse)  spheroid
  96                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  97                 inline void inv(Parameters const&, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  98                 {
  99                     T t;
 100
 101                     lp_lat = C2 * (t = aasin(xy_y / C_y));
 102                     lp_lon = xy_x / (C_x * (1. + 3. * cos(lp_lat)/cos(t)));
 103                     lp_lat = aasin((C1 * sin(t) + sin(lp_lat)) / C3);
 104                 }
 105
 106                 static inline std::string get_name()
 107                 {
 108                     return "mbt_fps_spheroid";
 109                 }
 110
 111             };
 112
 113             // McBryde-Thomas Flat-Pole Sine (No. 2)
 114             template <typename Parameters>
 115             inline void setup_mbt_fps(Parameters& par)
 116             {
 117                 par.es = 0;
 118             }
 119
 120     }} // namespace detail::mbt_fps
 121     #endif // doxygen
 122
 123     /*!
 124         \brief McBryde-Thomas Flat-Pole Sine (No. 2) projection
 125         \ingroup projections
 126         \tparam Geographic latlong point type
 127         \tparam Cartesian xy point type
 128         \tparam Parameters parameter type
 129         \par Projection characteristics
 130          - Cylindrical
 131          - Spheroid
 132         \par Example
 133         \image html ex_mbt_fps.gif
 134     */
 135     template <typename T, typename Parameters>
 136     struct mbt_fps_spheroid : public detail::mbt_fps::base_mbt_fps_spheroid<T, Parameters>
 137     {
 138         template <typename Params>
 139         inline mbt_fps_spheroid(Params const& , Parameters & par)
 140         {
 141             detail::mbt_fps::setup_mbt_fps(par);
 142         }
 143     };
 144
 145     #ifndef DOXYGEN_NO_DETAIL
 146     namespace detail
 147     {
 148
 149         // Static projection
 150         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbt_fps, mbt_fps_spheroid)
 151
 152         // Factory entry(s)
 153         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbt_fps_entry, mbt_fps_spheroid)
 154
 155         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbt_fps_init)
 156         {
 157             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbt_fps, mbt_fps_entry)
 158         }
 159
 160     } // namespace detail
 161     #endif // doxygen
 162
 163 } // namespace projections
 164
 165 }} // namespace boost::geometry
 166
 167 #endif // BOOST_GEOMETRY_PROJECTIONS_MBT_FPS_HPP
 168