ceph/src/boost/boost/geometry/srs/projections/proj/bacon.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_BACON_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_BACON_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 bacon
  57     {
  58
  59             //static const double half_pi_sqr = 2.46740110027233965467;
  60             static const double epsilon = 1e-10;
  61
  62             struct par_bacon
  63             {
  64                 bool bacn;
  65                 bool ortl;
  66             };
  67
  68             template <typename T, typename Parameters>
  69             struct base_bacon_spheroid
  70             {
  71                 par_bacon m_proj_parm;
  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 const& lp_lat, T& xy_x, T& xy_y) const
  76                 {
  77                     static const T half_pi = detail::half_pi<T>();
  78                     static const T half_pi_sqr = detail::half_pi_sqr<T>();
  79
  80                     T ax, f;
  81
  82                     xy_y = this->m_proj_parm.bacn ? half_pi * sin(lp_lat) : lp_lat;
  83                     if ((ax = fabs(lp_lon)) >= epsilon) {
  84                         if (this->m_proj_parm.ortl && ax >= half_pi)
  85                             xy_x = sqrt(half_pi_sqr - lp_lat * lp_lat + epsilon) + ax - half_pi;
  86                         else {
  87                             f = 0.5 * (half_pi_sqr / ax + ax);
  88                             xy_x = ax - f + sqrt(f * f - xy_y * xy_y);
  89                         }
  90                         if (lp_lon < 0.) xy_x = - xy_x;
  91                     } else
  92                         xy_x = 0.;
  93                 }
  94
  95                 static inline std::string get_name()
  96                 {
  97                     return "bacon_spheroid";
  98                 }
  99
 100             };
 101
 102             // Apian Globular I
 103             template <typename Parameters>
 104             inline void setup_apian(Parameters& par, par_bacon& proj_parm)
 105             {
 106                 proj_parm.bacn = proj_parm.ortl = false;
 107                 par.es = 0.;
 108             }
 109
 110             // Ortelius Oval
 111             template <typename Parameters>
 112             inline void setup_ortel(Parameters& par, par_bacon& proj_parm)
 113             {
 114                 proj_parm.bacn = false;
 115                 proj_parm.ortl = true;
 116                 par.es = 0.;
 117             }
 118
 119             // Bacon Globular
 120             template <typename Parameters>
 121             inline void setup_bacon(Parameters& par, par_bacon& proj_parm)
 122             {
 123                 proj_parm.bacn = true;
 124                 proj_parm.ortl = false;
 125                 par.es = 0.;
 126             }
 127
 128     }} // namespace detail::bacon
 129     #endif // doxygen
 130
 131     /*!
 132         \brief Apian Globular I projection
 133         \ingroup projections
 134         \tparam Geographic latlong point type
 135         \tparam Cartesian xy point type
 136         \tparam Parameters parameter type
 137         \par Projection characteristics
 138          - Miscellaneous
 139          - Spheroid
 140          - no inverse
 141         \par Example
 142         \image html ex_apian.gif
 143     */
 144     template <typename T, typename Parameters>
 145     struct apian_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters>
 146     {
 147         template <typename Params>
 148         inline apian_spheroid(Params const& , Parameters & par)
 149         {
 150             detail::bacon::setup_apian(par, this->m_proj_parm);
 151         }
 152     };
 153
 154     /*!
 155         \brief Ortelius Oval projection
 156         \ingroup projections
 157         \tparam Geographic latlong point type
 158         \tparam Cartesian xy point type
 159         \tparam Parameters parameter type
 160         \par Projection characteristics
 161          - Miscellaneous
 162          - Spheroid
 163          - no inverse
 164         \par Example
 165         \image html ex_ortel.gif
 166     */
 167     template <typename T, typename Parameters>
 168     struct ortel_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters>
 169     {
 170         template <typename Params>
 171         inline ortel_spheroid(Params const& , Parameters & par)
 172         {
 173             detail::bacon::setup_ortel(par, this->m_proj_parm);
 174         }
 175     };
 176
 177     /*!
 178         \brief Bacon Globular projection
 179         \ingroup projections
 180         \tparam Geographic latlong point type
 181         \tparam Cartesian xy point type
 182         \tparam Parameters parameter type
 183         \par Projection characteristics
 184          - Miscellaneous
 185          - Spheroid
 186          - no inverse
 187         \par Example
 188         \image html ex_bacon.gif
 189     */
 190     template <typename T, typename Parameters>
 191     struct bacon_spheroid : public detail::bacon::base_bacon_spheroid<T, Parameters>
 192     {
 193         template <typename Params>
 194         inline bacon_spheroid(Params const& , Parameters & par)
 195         {
 196             detail::bacon::setup_bacon(par, this->m_proj_parm);
 197         }
 198     };
 199
 200     #ifndef DOXYGEN_NO_DETAIL
 201     namespace detail
 202     {
 203
 204         // Static projection
 205         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_apian, apian_spheroid)
 206         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_bacon, bacon_spheroid)
 207         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_ortel, ortel_spheroid)
 208
 209         // Factory entry(s)
 210         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(apian_entry, apian_spheroid)
 211         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(ortel_entry, ortel_spheroid)
 212         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(bacon_entry, bacon_spheroid)
 213
 214         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bacon_init)
 215         {
 216             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(apian, apian_entry)
 217             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ortel, ortel_entry)
 218             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bacon, bacon_entry)
 219         }
 220
 221     } // namespace detail
 222     #endif // doxygen
 223
 224 } // namespace projections
 225
 226 }} // namespace boost::geometry
 227
 228 #endif // BOOST_GEOMETRY_PROJECTIONS_BACON_HPP
 229