boost/geometry/srs/projections/proj/eck3.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_ECK3_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_ECK3_HPP
  42
  43 #include <boost/core/ignore_unused.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 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
  50
  51 namespace boost { namespace geometry
  52 {
  53
  54 namespace projections
  55 {
  56     #ifndef DOXYGEN_NO_DETAIL
  57     namespace detail { namespace eck3
  58     {
  59
  60             template <typename T>
  61             struct par_eck3
  62             {
  63                 T C_x, C_y, A, B;
  64             };
  65
  66             template <typename T, typename Parameters>
  67             struct base_eck3_spheroid
  68             {
  69                 par_eck3<T> m_proj_parm;
  70
  71                 // FORWARD(s_forward)  spheroid
  72                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  73                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  74                 {
  75                     xy_y = this->m_proj_parm.C_y * lp_lat;
  76                     xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.A + asqrt(1. - this->m_proj_parm.B * lp_lat * lp_lat));
  77                 }
  78
  79                 // INVERSE(s_inverse)  spheroid
  80                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  81                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  82                 {
  83                     T denominator;
  84                     lp_lat = xy_y / this->m_proj_parm.C_y;
  85                     denominator = (this->m_proj_parm.C_x * (this->m_proj_parm.A + asqrt(1. - this->m_proj_parm.B * lp_lat * lp_lat)));
  86                     if ( denominator == 0.0) {
  87                         lp_lon = HUGE_VAL;
  88                         lp_lat = HUGE_VAL;
  89                     } else
  90                         lp_lon = xy_x / denominator;
  91                 }
  92
  93                 static inline std::string get_name()
  94                 {
  95                     return "eck3_spheroid";
  96                 }
  97
  98             };
  99
 100             template <typename Parameters>
 101             inline void setup(Parameters& par)
 102             {
 103                 par.es = 0.;
 104             }
 105
 106
 107             // Eckert III
 108             template <typename Parameters, typename T>
 109             inline void setup_eck3(Parameters& par, par_eck3<T>& proj_parm)
 110             {
 111                 proj_parm.C_x = 0.42223820031577120149;
 112                 proj_parm.C_y = 0.84447640063154240298;
 113                 proj_parm.A = 1.0;
 114                 proj_parm.B = 0.4052847345693510857755;
 115
 116                 setup(par);
 117             }
 118
 119             // Putnins P1
 120             template <typename Parameters, typename T>
 121             inline void setup_putp1(Parameters& par, par_eck3<T>& proj_parm)
 122             {
 123                 proj_parm.C_x = 1.89490;
 124                 proj_parm.C_y = 0.94745;
 125                 proj_parm.A = -0.5;
 126                 proj_parm.B = 0.30396355092701331433;
 127
 128                 setup(par);
 129             }
 130
 131             // Wagner VI
 132             template <typename Parameters, typename T>
 133             inline void setup_wag6(Parameters& par, par_eck3<T>& proj_parm)
 134             {
 135                 proj_parm.C_x = proj_parm.C_y = 0.94745;
 136                 proj_parm.A = 0.0;
 137                 proj_parm.B = 0.30396355092701331433;
 138
 139                 setup(par);
 140             }
 141
 142             // Kavraisky VII
 143             template <typename Parameters, typename T>
 144             inline void setup_kav7(Parameters& par, par_eck3<T>& proj_parm)
 145             {
 146                 /* Defined twice in original code - Using 0.866...,
 147                  * but leaving the other one here as a safety measure.
 148                  * proj_parm.C_x = 0.2632401569273184856851; */
 149                 proj_parm.C_x = 0.8660254037844;
 150                 proj_parm.C_y = 1.0;
 151                 proj_parm.A = 0.0;
 152                 proj_parm.B = 0.30396355092701331433;
 153
 154                 setup(par);
 155             }
 156
 157     }} // namespace detail::eck3
 158     #endif // doxygen
 159
 160     /*!
 161         \brief Eckert III projection
 162         \ingroup projections
 163         \tparam Geographic latlong point type
 164         \tparam Cartesian xy point type
 165         \tparam Parameters parameter type
 166         \par Projection characteristics
 167          - Pseudocylindrical
 168          - Spheroid
 169         \par Example
 170         \image html ex_eck3.gif
 171     */
 172     template <typename T, typename Parameters>
 173     struct eck3_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
 174     {
 175         template <typename Params>
 176         inline eck3_spheroid(Params const& , Parameters & par)
 177         {
 178             detail::eck3::setup_eck3(par, this->m_proj_parm);
 179         }
 180     };
 181
 182     /*!
 183         \brief Putnins P1 projection
 184         \ingroup projections
 185         \tparam Geographic latlong point type
 186         \tparam Cartesian xy point type
 187         \tparam Parameters parameter type
 188         \par Projection characteristics
 189          - Pseudocylindrical
 190          - Spheroid
 191         \par Example
 192         \image html ex_putp1.gif
 193     */
 194     template <typename T, typename Parameters>
 195     struct putp1_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
 196     {
 197         template <typename Params>
 198         inline putp1_spheroid(Params const& , Parameters & par)
 199         {
 200             detail::eck3::setup_putp1(par, this->m_proj_parm);
 201         }
 202     };
 203
 204     /*!
 205         \brief Wagner VI projection
 206         \ingroup projections
 207         \tparam Geographic latlong point type
 208         \tparam Cartesian xy point type
 209         \tparam Parameters parameter type
 210         \par Projection characteristics
 211          - Pseudocylindrical
 212          - Spheroid
 213         \par Example
 214         \image html ex_wag6.gif
 215     */
 216     template <typename T, typename Parameters>
 217     struct wag6_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
 218     {
 219         template <typename Params>
 220         inline wag6_spheroid(Params const& , Parameters & par)
 221         {
 222             detail::eck3::setup_wag6(par, this->m_proj_parm);
 223         }
 224     };
 225
 226     /*!
 227         \brief Kavraisky VII projection
 228         \ingroup projections
 229         \tparam Geographic latlong point type
 230         \tparam Cartesian xy point type
 231         \tparam Parameters parameter type
 232         \par Projection characteristics
 233          - Pseudocylindrical
 234          - Spheroid
 235         \par Example
 236         \image html ex_kav7.gif
 237     */
 238     template <typename T, typename Parameters>
 239     struct kav7_spheroid : public detail::eck3::base_eck3_spheroid<T, Parameters>
 240     {
 241         template <typename Params>
 242         inline kav7_spheroid(Params const& , Parameters & par)
 243         {
 244             detail::eck3::setup_kav7(par, this->m_proj_parm);
 245         }
 246     };
 247
 248     #ifndef DOXYGEN_NO_DETAIL
 249     namespace detail
 250     {
 251
 252         // Static projection
 253         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_eck3, eck3_spheroid)
 254         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp1, putp1_spheroid)
 255         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_wag6, wag6_spheroid)
 256         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_kav7, kav7_spheroid)
 257
 258         // Factory entry(s)
 259         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(eck3_entry, eck3_spheroid)
 260         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp1_entry, putp1_spheroid)
 261         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(wag6_entry, wag6_spheroid)
 262         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(kav7_entry, kav7_spheroid)
 263
 264         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(eck3_init)
 265         {
 266             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(eck3, eck3_entry);
 267             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp1, putp1_entry);
 268             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wag6, wag6_entry);
 269             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(kav7, kav7_entry);
 270         }
 271
 272     } // namespace detail
 273     #endif // doxygen
 274
 275 } // namespace projections
 276
 277 }} // namespace boost::geometry
 278
 279 #endif // BOOST_GEOMETRY_PROJECTIONS_ECK3_HPP
 280