boost/geometry/srs/projections/proj/gstmerc.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_GSTMERC_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_GSTMERC_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/pj_phi2.hpp>
  48 #include <boost/geometry/srs/projections/impl/pj_tsfn.hpp>
  49
  50 namespace boost { namespace geometry
  51 {
  52
  53 namespace projections
  54 {
  55     #ifndef DOXYGEN_NO_DETAIL
  56     namespace detail { namespace gstmerc
  57     {
  58             template <typename T>
  59             struct par_gstmerc
  60             {
  61                 T lamc;
  62                 T phic;
  63                 T c;
  64                 T n1;
  65                 T n2;
  66                 T XS;
  67                 T YS;
  68             };
  69
  70             template <typename T, typename Parameters>
  71             struct base_gstmerc_spheroid
  72             {
  73                 par_gstmerc<T> m_proj_parm;
  74
  75                 // FORWARD(s_forward)  spheroid
  76                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  77                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  78                 {
  79                     T L, Ls, sinLs1, Ls1;
  80
  81                     L= this->m_proj_parm.n1*lp_lon;
  82                     Ls= this->m_proj_parm.c+this->m_proj_parm.n1*log(pj_tsfn(-1.0*lp_lat,-1.0*sin(lp_lat), par.e));
  83                     sinLs1= sin(L)/cosh(Ls);
  84                     Ls1= log(pj_tsfn(-1.0*asin(sinLs1),0.0,0.0));
  85                     xy_x= (this->m_proj_parm.XS + this->m_proj_parm.n2*Ls1) * par.ra;
  86                     xy_y= (this->m_proj_parm.YS + this->m_proj_parm.n2*atan(sinh(Ls)/cos(L))) * par.ra;
  87                 }
  88
  89                 // INVERSE(s_inverse)  spheroid
  90                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  91                 inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  92                 {
  93                     T L, LC, sinC;
  94
  95                     L= atan(sinh((xy_x * par.a - this->m_proj_parm.XS)/this->m_proj_parm.n2)/cos((xy_y * par.a - this->m_proj_parm.YS)/this->m_proj_parm.n2));
  96                     sinC= sin((xy_y * par.a - this->m_proj_parm.YS)/this->m_proj_parm.n2)/cosh((xy_x * par.a - this->m_proj_parm.XS)/this->m_proj_parm.n2);
  97                     LC= log(pj_tsfn(-1.0*asin(sinC),0.0,0.0));
  98                     lp_lon= L/this->m_proj_parm.n1;
  99                     lp_lat= -1.0*pj_phi2(exp((LC-this->m_proj_parm.c)/this->m_proj_parm.n1), par.e);
 100                 }
 101
 102                 static inline std::string get_name()
 103                 {
 104                     return "gstmerc_spheroid";
 105                 }
 106
 107             };
 108
 109             // Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)
 110             template <typename Parameters, typename T>
 111             inline void setup_gstmerc(Parameters const& par, par_gstmerc<T>& proj_parm)
 112             {
 113                 proj_parm.lamc= par.lam0;
 114                 proj_parm.n1= sqrt(T(1)+par.es*math::pow(cos(par.phi0),4)/(T(1)-par.es));
 115                 proj_parm.phic= asin(sin(par.phi0)/proj_parm.n1);
 116                 proj_parm.c= log(pj_tsfn(-1.0*proj_parm.phic,0.0,0.0))
 117                            - proj_parm.n1*log(pj_tsfn(-1.0*par.phi0,-1.0*sin(par.phi0),par.e));
 118                 proj_parm.n2= par.k0*par.a*sqrt(1.0-par.es)/(1.0-par.es*sin(par.phi0)*sin(par.phi0));
 119                 proj_parm.XS= 0;/* -par.x0 */
 120                 proj_parm.YS= -1.0*proj_parm.n2*proj_parm.phic;/* -par.y0 */
 121             }
 122
 123     }} // namespace detail::gstmerc
 124     #endif // doxygen
 125
 126     /*!
 127         \brief Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion) projection
 128         \ingroup projections
 129         \tparam Geographic latlong point type
 130         \tparam Cartesian xy point type
 131         \tparam Parameters parameter type
 132         \par Projection characteristics
 133          - Cylindrical
 134          - Spheroid
 135          - Ellipsoid
 136         \par Projection parameters
 137          - lat_0: Latitude of origin
 138          - lon_0: Central meridian
 139          - k_0: Scale factor
 140         \par Example
 141         \image html ex_gstmerc.gif
 142     */
 143     template <typename T, typename Parameters>
 144     struct gstmerc_spheroid : public detail::gstmerc::base_gstmerc_spheroid<T, Parameters>
 145     {
 146         template <typename Params>
 147         inline gstmerc_spheroid(Params const& , Parameters const& par)
 148         {
 149             detail::gstmerc::setup_gstmerc(par, this->m_proj_parm);
 150         }
 151     };
 152
 153     #ifndef DOXYGEN_NO_DETAIL
 154     namespace detail
 155     {
 156
 157         // Static projection
 158         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_gstmerc, gstmerc_spheroid)
 159
 160         // Factory entry(s)
 161         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gstmerc_entry, gstmerc_spheroid)
 162
 163         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(gstmerc_init)
 164         {
 165             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gstmerc, gstmerc_entry);
 166         }
 167
 168     } // namespace detail
 169     #endif // doxygen
 170
 171 } // namespace projections
 172
 173 }} // namespace boost::geometry
 174
 175 #endif // BOOST_GEOMETRY_PROJECTIONS_GSTMERC_HPP
 176