boost/geometry/srs/projections/proj/putp6.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_PUTP6_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_PUTP6_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 putp6
  56     {
  57
  58             static const double epsilon = 1e-10;
  59             static const int n_iter = 10;
  60             static const double CON_POLE = 1.732050807568877;
  61
  62             template <typename T>
  63             struct par_putp6
  64             {
  65                 T C_x, C_y, A, B, D;
  66             };
  67
  68             template <typename T, typename Parameters>
  69             struct base_putp6_spheroid
  70             {
  71                 par_putp6<T> 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 lp_lat, T& xy_x, T& xy_y) const
  76                 {
  77                     T p, r, V;
  78                     int i;
  79
  80                     p = this->m_proj_parm.B * sin(lp_lat);
  81                     lp_lat *=  1.10265779;
  82                     for (i = n_iter; i ; --i) {
  83                         r = sqrt(1. + lp_lat * lp_lat);
  84                         lp_lat -= V = ( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) - p ) /
  85                             (this->m_proj_parm.A - 2. * r);
  86                         if (fabs(V) < epsilon)
  87                             break;
  88                     }
  89                     if (!i)
  90                         lp_lat = p < 0. ? -CON_POLE : CON_POLE;
  91                     xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.D - sqrt(1. + lp_lat * lp_lat));
  92                     xy_y = this->m_proj_parm.C_y * lp_lat;
  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 r;
 100
 101                     lp_lat = xy_y / this->m_proj_parm.C_y;
 102                     r = sqrt(1. + lp_lat * lp_lat);
 103                     lp_lon = xy_x / (this->m_proj_parm.C_x * (this->m_proj_parm.D - r));
 104                     lp_lat = aasin(( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) ) / this->m_proj_parm.B);
 105                 }
 106
 107                 static inline std::string get_name()
 108                 {
 109                     return "putp6_spheroid";
 110                 }
 111
 112             };
 113
 114
 115             // Putnins P6
 116             template <typename Parameters, typename T>
 117             inline void setup_putp6(Parameters& par, par_putp6<T>& proj_parm)
 118             {
 119                 proj_parm.C_x = 1.01346;
 120                 proj_parm.C_y = 0.91910;
 121                 proj_parm.A   = 4.;
 122                 proj_parm.B   = 2.1471437182129378784;
 123                 proj_parm.D   = 2.;
 124
 125                 par.es = 0.;
 126             }
 127
 128             // Putnins P6'
 129             template <typename Parameters, typename T>
 130             inline void setup_putp6p(Parameters& par, par_putp6<T>& proj_parm)
 131             {
 132                 proj_parm.C_x = 0.44329;
 133                 proj_parm.C_y = 0.80404;
 134                 proj_parm.A   = 6.;
 135                 proj_parm.B   = 5.61125;
 136                 proj_parm.D   = 3.;
 137
 138                 par.es = 0.;
 139             }
 140
 141     }} // namespace detail::putp6
 142     #endif // doxygen
 143
 144     /*!
 145         \brief Putnins P6 projection
 146         \ingroup projections
 147         \tparam Geographic latlong point type
 148         \tparam Cartesian xy point type
 149         \tparam Parameters parameter type
 150         \par Projection characteristics
 151          - Pseudocylindrical
 152          - Spheroid
 153         \par Example
 154         \image html ex_putp6.gif
 155     */
 156     template <typename T, typename Parameters>
 157     struct putp6_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
 158     {
 159         template <typename Params>
 160         inline putp6_spheroid(Params const& , Parameters & par)
 161         {
 162             detail::putp6::setup_putp6(par, this->m_proj_parm);
 163         }
 164     };
 165
 166     /*!
 167         \brief Putnins P6' projection
 168         \ingroup projections
 169         \tparam Geographic latlong point type
 170         \tparam Cartesian xy point type
 171         \tparam Parameters parameter type
 172         \par Projection characteristics
 173          - Pseudocylindrical
 174          - Spheroid
 175         \par Example
 176         \image html ex_putp6p.gif
 177     */
 178     template <typename T, typename Parameters>
 179     struct putp6p_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
 180     {
 181         template <typename Params>
 182         inline putp6p_spheroid(Params const& , Parameters & par)
 183         {
 184             detail::putp6::setup_putp6p(par, this->m_proj_parm);
 185         }
 186     };
 187
 188     #ifndef DOXYGEN_NO_DETAIL
 189     namespace detail
 190     {
 191
 192         // Static projection
 193         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6, putp6_spheroid)
 194         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6p, putp6p_spheroid)
 195
 196         // Factory entry(s)
 197         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6_entry, putp6_spheroid)
 198         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6p_entry, putp6p_spheroid)
 199
 200         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp6_init)
 201         {
 202             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6, putp6_entry)
 203             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6p, putp6p_entry)
 204         }
 205
 206     } // namespace detail
 207     #endif // doxygen
 208
 209 } // namespace projections
 210
 211 }} // namespace boost::geometry
 212
 213 #endif // BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP
 214