ceph/src/boost/boost/geometry/srs/projections/proj/cea.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_CEA_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_CEA_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/factory_entry.hpp>
  46 #include <boost/geometry/srs/projections/impl/pj_auth.hpp>
  47 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
  48 #include <boost/geometry/srs/projections/impl/pj_qsfn.hpp>
  49 #include <boost/geometry/srs/projections/impl/projects.hpp>
  50
  51 #include <boost/geometry/util/math.hpp>
  52
  53 namespace boost { namespace geometry
  54 {
  55
  56 namespace projections
  57 {
  58     #ifndef DOXYGEN_NO_DETAIL
  59     namespace detail { namespace cea
  60     {
  61
  62             static const double epsilon = 1e-10;
  63
  64             template <typename T>
  65             struct par_cea
  66             {
  67                 T qp;
  68                 detail::apa<T> apa;
  69             };
  70
  71             template <typename T, typename Parameters>
  72             struct base_cea_ellipsoid
  73             {
  74                 par_cea<T> m_proj_parm;
  75
  76                 // FORWARD(e_forward)  spheroid
  77                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  78                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  79                 {
  80                     xy_x = par.k0 * lp_lon;
  81                     xy_y = .5 * pj_qsfn(sin(lp_lat), par.e, par.one_es) / par.k0;
  82                 }
  83
  84                 // INVERSE(e_inverse)  spheroid
  85                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  86                 inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  87                 {
  88                     lp_lat = pj_authlat(asin( 2. * xy_y * par.k0 / this->m_proj_parm.qp), this->m_proj_parm.apa);
  89                     lp_lon = xy_x / par.k0;
  90                 }
  91
  92                 static inline std::string get_name()
  93                 {
  94                     return "cea_ellipsoid";
  95                 }
  96
  97             };
  98
  99             template <typename T, typename Parameters>
 100             struct base_cea_spheroid
 101             {
 102                 par_cea<T> m_proj_parm;
 103
 104                 // FORWARD(s_forward)  spheroid
 105                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
 106                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
 107                 {
 108                     xy_x = par.k0 * lp_lon;
 109                     xy_y = sin(lp_lat) / par.k0;
 110                 }
 111
 112                 // INVERSE(s_inverse)  spheroid
 113                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
 114                 inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
 115                 {
 116                     static const T half_pi = detail::half_pi<T>();
 117
 118                     T t;
 119
 120                     if ((t = fabs(xy_y *= par.k0)) - epsilon <= 1.) {
 121                         if (t >= 1.)
 122                             lp_lat = xy_y < 0. ? -half_pi : half_pi;
 123                         else
 124                             lp_lat = asin(xy_y);
 125                         lp_lon = xy_x / par.k0;
 126                     } else
 127                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 128                 }
 129
 130                 static inline std::string get_name()
 131                 {
 132                     return "cea_spheroid";
 133                 }
 134
 135             };
 136
 137             // Equal Area Cylindrical
 138             template <typename Params, typename Parameters, typename T>
 139             inline void setup_cea(Params const& params, Parameters& par, par_cea<T>& proj_parm)
 140             {
 141                 T t = 0;
 142
 143                 if (pj_param_r<srs::spar::lat_ts>(params, "lat_ts", srs::dpar::lat_ts, t)) {
 144                     par.k0 = cos(t);
 145                     if (par.k0 < 0.) {
 146                         BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) );
 147                     }
 148                 }
 149                 if (par.es != 0.0) {
 150                     t = sin(t);
 151                     par.k0 /= sqrt(1. - par.es * t * t);
 152                     par.e = sqrt(par.es);
 153                     proj_parm.apa = pj_authset<T>(par.es);
 154
 155                     proj_parm.qp = pj_qsfn(T(1), par.e, par.one_es);
 156                 }
 157             }
 158
 159     }} // namespace detail::cea
 160     #endif // doxygen
 161
 162     /*!
 163         \brief Equal Area Cylindrical projection
 164         \ingroup projections
 165         \tparam Geographic latlong point type
 166         \tparam Cartesian xy point type
 167         \tparam Parameters parameter type
 168         \par Projection characteristics
 169          - Cylindrical
 170          - Spheroid
 171          - Ellipsoid
 172         \par Projection parameters
 173          - lat_ts: Latitude of true scale (degrees)
 174         \par Example
 175         \image html ex_cea.gif
 176     */
 177     template <typename T, typename Parameters>
 178     struct cea_ellipsoid : public detail::cea::base_cea_ellipsoid<T, Parameters>
 179     {
 180         template <typename Params>
 181         inline cea_ellipsoid(Params const& params, Parameters & par)
 182         {
 183             detail::cea::setup_cea(params, par, this->m_proj_parm);
 184         }
 185     };
 186
 187     /*!
 188         \brief Equal Area Cylindrical projection
 189         \ingroup projections
 190         \tparam Geographic latlong point type
 191         \tparam Cartesian xy point type
 192         \tparam Parameters parameter type
 193         \par Projection characteristics
 194          - Cylindrical
 195          - Spheroid
 196          - Ellipsoid
 197         \par Projection parameters
 198          - lat_ts: Latitude of true scale (degrees)
 199         \par Example
 200         \image html ex_cea.gif
 201     */
 202     template <typename T, typename Parameters>
 203     struct cea_spheroid : public detail::cea::base_cea_spheroid<T, Parameters>
 204     {
 205         template <typename Params>
 206         inline cea_spheroid(Params const& params, Parameters & par)
 207         {
 208             detail::cea::setup_cea(params, par, this->m_proj_parm);
 209         }
 210     };
 211
 212     #ifndef DOXYGEN_NO_DETAIL
 213     namespace detail
 214     {
 215
 216         // Static projection
 217         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_cea, cea_spheroid, cea_ellipsoid)
 218
 219         // Factory entry(s)
 220         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(cea_entry, cea_spheroid, cea_ellipsoid)
 221
 222         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(cea_init)
 223         {
 224             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(cea, cea_entry);
 225         }
 226
 227     } // namespace detail
 228     #endif // doxygen
 229
 230 } // namespace projections
 231
 232 }} // namespace boost::geometry
 233
 234 #endif // BOOST_GEOMETRY_PROJECTIONS_CEA_HPP
 235