ceph/src/boost/boost/geometry/srs/projections/proj/hatano.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_HATANO_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_HATANO_HPP
  42
  43 #include <boost/geometry/util/math.hpp>
  44
  45 #include <boost/geometry/srs/projections/impl/base_static.hpp>
  46 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  47 #include <boost/geometry/srs/projections/impl/projects.hpp>
  48 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  49
  50 namespace boost { namespace geometry
  51 {
  52
  53 namespace projections
  54 {
  55     #ifndef DOXYGEN_NO_DETAIL
  56     namespace detail { namespace hatano
  57     {
  58
  59             static const int n_iter = 20;
  60             static const double epsilon = 1e-7;
  61             static const double one_plus_tol = 1.000001;
  62             static const double CN_ = 2.67595;
  63             static const double CS_ = 2.43763;
  64             static const double RCN = 0.37369906014686373063;
  65             static const double RCS = 0.41023453108141924738;
  66             static const double FYCN = 1.75859;
  67             static const double FYCS = 1.93052;
  68             static const double RYCN = 0.56863737426006061674;
  69             static const double RYCS = 0.51799515156538134803;
  70             static const double FXC = 0.85;
  71             static const double RXC = 1.17647058823529411764;
  72
  73             template <typename T, typename Parameters>
  74             struct base_hatano_spheroid
  75             {
  76                 // FORWARD(s_forward)  spheroid
  77                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  78                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  79                 {
  80                     T th1, c;
  81                     int i;
  82
  83                     c = sin(lp_lat) * (lp_lat < 0. ? CS_ : CN_);
  84                     for (i = n_iter; i; --i) {
  85                         lp_lat -= th1 = (lp_lat + sin(lp_lat) - c) / (1. + cos(lp_lat));
  86                         if (fabs(th1) < epsilon) break;
  87                     }
  88                     xy_x = FXC * lp_lon * cos(lp_lat *= .5);
  89                     xy_y = sin(lp_lat) * (lp_lat < 0. ? FYCS : FYCN);
  90                 }
  91
  92                 // INVERSE(s_inverse)  spheroid
  93                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  94                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  95                 {
  96                     static T const half_pi = detail::half_pi<T>();
  97
  98                     T th;
  99
 100                     th = xy_y * ( xy_y < 0. ? RYCS : RYCN);
 101                     if (fabs(th) > 1.) {
 102                         if (fabs(th) > one_plus_tol) {
 103                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 104                         } else {
 105                             th = th > 0. ? half_pi : - half_pi;
 106                         }
 107                     } else {
 108                         th = asin(th);
 109                     }
 110
 111                     lp_lon = RXC * xy_x / cos(th);
 112                     th += th;
 113                     lp_lat = (th + sin(th)) * (xy_y < 0. ? RCS : RCN);
 114                     if (fabs(lp_lat) > 1.) {
 115                         if (fabs(lp_lat) > one_plus_tol) {
 116                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 117                         } else {
 118                             lp_lat = lp_lat > 0. ? half_pi : - half_pi;
 119                         }
 120                     } else {
 121                         lp_lat = asin(lp_lat);
 122                     }
 123                 }
 124
 125                 static inline std::string get_name()
 126                 {
 127                     return "hatano_spheroid";
 128                 }
 129
 130             };
 131
 132             // Hatano Asymmetrical Equal Area
 133             template <typename Parameters>
 134             inline void setup_hatano(Parameters& par)
 135             {
 136                 par.es = 0.;
 137             }
 138
 139     }} // namespace detail::hatano
 140     #endif // doxygen
 141
 142     /*!
 143         \brief Hatano Asymmetrical Equal Area projection
 144         \ingroup projections
 145         \tparam Geographic latlong point type
 146         \tparam Cartesian xy point type
 147         \tparam Parameters parameter type
 148         \par Projection characteristics
 149          - Pseudocylindrical
 150          - Spheroid
 151         \par Example
 152         \image html ex_hatano.gif
 153     */
 154     template <typename T, typename Parameters>
 155     struct hatano_spheroid : public detail::hatano::base_hatano_spheroid<T, Parameters>
 156     {
 157         template <typename Params>
 158         inline hatano_spheroid(Params const& , Parameters & par)
 159         {
 160             detail::hatano::setup_hatano(par);
 161         }
 162     };
 163
 164     #ifndef DOXYGEN_NO_DETAIL
 165     namespace detail
 166     {
 167
 168         // Static projection
 169         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_hatano, hatano_spheroid)
 170
 171         // Factory entry(s)
 172         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(hatano_entry, hatano_spheroid)
 173
 174         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(hatano_init)
 175         {
 176             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(hatano, hatano_entry)
 177         }
 178
 179     } // namespace detail
 180     #endif // doxygen
 181
 182 } // namespace projections
 183
 184 }} // namespace boost::geometry
 185
 186 #endif // BOOST_GEOMETRY_PROJECTIONS_HATANO_HPP
 187