text: // Boost.Geometry - gis-projections (based on PROJ4)
  
  // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
  
  // This file was modified by Oracle on 2017, 2018.
  // Modifications copyright (c) 2017-2018, Oracle and/or its affiliates.
  // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
  
  // Use, modification and distribution is subject to the Boost Software License,
  // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
  // http://www.boost.org/LICENSE_1_0.txt)
  
  // This file is converted from PROJ4, http://trac.osgeo.org/proj
  // PROJ4 is originally written by Gerald Evenden (then of the USGS)
  // PROJ4 is maintained by Frank Warmerdam
  // PROJ4 is converted to Boost.Geometry by Barend Gehrels
  
  // Last updated version of proj: 5.0.0
  
  // Original copyright notice:
  
  // Permission is hereby granted, free of charge, to any person obtaining a
  // copy of this software and associated documentation files (the "Software"),
  // to deal in the Software without restriction, including without limitation
  // the rights to use, copy, modify, merge, publish, distribute, sublicense,
  // and/or sell copies of the Software, and to permit persons to whom the
  // Software is furnished to do so, subject to the following conditions:
  
  // The above copyright notice and this permission notice shall be included
  // in all copies or substantial portions of the Software.
  
  // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
  // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
  // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
  // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
  // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
  // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
  // DEALINGS IN THE SOFTWARE.
  
  #ifndef BOOST_GEOMETRY_PROJECTIONS_URMFPS_HPP
  #define BOOST_GEOMETRY_PROJECTIONS_URMFPS_HPP
  
  #include <boost/geometry/srs/projections/impl/base_static.hpp>
  #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  #include <boost/geometry/srs/projections/impl/projects.hpp>
  #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  #include <boost/geometry/srs/projections/impl/aasincos.hpp>
  
  namespace boost { namespace geometry
  {
  
  namespace srs { namespace par4
  {
      struct urmfps {}; // Urmaev Flat-Polar Sinusoidal
      struct wag1 {}; // Wagner I (Kavraisky VI)
  
  }} //namespace srs::par4
  
  namespace projections
  {
      #ifndef DOXYGEN_NO_DETAIL
      namespace detail { namespace urmfps
      {
  
              static const double C_x = 0.8773826753;
              static const double Cy = 1.139753528477;
  
              template <typename T>
              struct par_urmfps
              {
                  T    n, C_y;
              };
  
              // template class, using CRTP to implement forward/inverse
              template <typename T, typename Parameters>
              struct base_urmfps_spheroid
                  : public base_t_fi<base_urmfps_spheroid<T, Parameters>, T, Parameters>
              {
                  par_urmfps<T> m_proj_parm;
  
                  inline base_urmfps_spheroid(const Parameters& par)
                      : base_t_fi<base_urmfps_spheroid<T, Parameters>, T, Parameters>(*this, par)
                  {}
  
                  // FORWARD(s_forward)  sphere
                  // Project coordinates from geographic (lon, lat) to cartesian (x, y)
                  inline void fwd(T& lp_lon, T& lp_lat, T& xy_x, T& xy_y) const
                  {
                      lp_lat = aasin(this->m_proj_parm.n * sin(lp_lat));
                      xy_x = C_x * lp_lon * cos(lp_lat);
                      xy_y = this->m_proj_parm.C_y * lp_lat;
                  }
  
                  // INVERSE(s_inverse)  sphere
                  // Project coordinates from cartesian (x, y) to geographic (lon, lat)
                  inline void inv(T& xy_x, T& xy_y, T& lp_lon, T& lp_lat) const
                  {
                      xy_y /= this->m_proj_parm.C_y;
                      lp_lat = aasin(sin(xy_y) / this->m_proj_parm.n);
                      lp_lon = xy_x / (C_x * cos(xy_y));
                  }
  
                  static inline std::string get_name()
                  {
                      return "urmfps_spheroid";
                  }
  
              };
  
              template <typename Parameters, typename T>
              inline void setup(Parameters& par, par_urmfps<T>& proj_parm) 
              {
                  proj_parm.C_y = Cy / proj_parm.n;
                  par.es = 0.;
              }
  
  
              // Urmaev Flat-Polar Sinusoidal
              template <typename Parameters, typename T>
              inline void setup_urmfps(Parameters& par, par_urmfps<T>& proj_parm)
              {
                  if (pj_param_f(par.params, "n", proj_parm.n)) {
                      if (proj_parm.n <= 0. || proj_parm.n > 1.)
                          BOOST_THROW_EXCEPTION( projection_exception(error_n_out_of_range) );
                  } else
                      BOOST_THROW_EXCEPTION( projection_exception(error_n_out_of_range) );
  
                  setup(par, proj_parm);
              }
  
              // Wagner I (Kavraisky VI)
              template <typename Parameters, typename T>
              inline void setup_wag1(Parameters& par, par_urmfps<T>& proj_parm)
              {
                  proj_parm.n = 0.8660254037844386467637231707;
                  setup(par, proj_parm);
              }
  
      }} // namespace detail::urmfps
      #endif // doxygen
  
      /*!
          \brief Urmaev Flat-Polar Sinusoidal projection
          \ingroup projections
          \tparam Geographic latlong point type
          \tparam Cartesian xy point type
          \tparam Parameters parameter type
          \par Projection characteristics
           - Pseudocylindrical
           - Spheroid
          \par Projection parameters
           - n (real)
          \par Example
          \image html ex_urmfps.gif
      */
      template <typename T, typename Parameters>
      struct urmfps_spheroid : public detail::urmfps::base_urmfps_spheroid<T, Parameters>
      {
          inline urmfps_spheroid(const Parameters& par) : detail::urmfps::base_urmfps_spheroid<T, Parameters>(par)
          {
              detail::urmfps::setup_urmfps(this->m_par, this->m_proj_parm);
          }
      };
  
      /*!
          \brief Wagner I (Kavraisky VI) projection
          \ingroup projections
          \tparam Geographic latlong point type
          \tparam Cartesian xy point type
          \tparam Parameters parameter type
          \par Projection characteristics
           - Pseudocylindrical
           - Spheroid
          \par Example
          \image html ex_wag1.gif
      */
      template <typename T, typename Parameters>
      struct wag1_spheroid : public detail::urmfps::base_urmfps_spheroid<T, Parameters>
      {
          inline wag1_spheroid(const Parameters& par) : detail::urmfps::base_urmfps_spheroid<T, Parameters>(par)
          {
              detail::urmfps::setup_wag1(this->m_par, this->m_proj_parm);
          }
      };
  
      #ifndef DOXYGEN_NO_DETAIL
      namespace detail
      {
  
          // Static projection
          BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::urmfps, urmfps_spheroid, urmfps_spheroid)
          BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::wag1, wag1_spheroid, wag1_spheroid)
  
          // Factory entry(s)
          template <typename T, typename Parameters>
          class urmfps_entry : public detail::factory_entry<T, Parameters>
          {
              public :
                  virtual base_v<T, Parameters>* create_new(const Parameters& par) const
                  {
                      return new base_v_fi<urmfps_spheroid<T, Parameters>, T, Parameters>(par);
                  }
          };
  
          template <typename T, typename Parameters>
          class wag1_entry : public detail::factory_entry<T, Parameters>
          {
              public :
                  virtual base_v<T, Parameters>* create_new(const Parameters& par) const
                  {
                      return new base_v_fi<wag1_spheroid<T, Parameters>, T, Parameters>(par);
                  }
          };
  
          template <typename T, typename Parameters>
          inline void urmfps_init(detail::base_factory<T, Parameters>& factory)
          {
              factory.add_to_factory("urmfps", new urmfps_entry<T, Parameters>);
              factory.add_to_factory("wag1", new wag1_entry<T, Parameters>);
          }
  
      } // namespace detail
      #endif // doxygen
  
  } // namespace projections
  
  }} // namespace boost::geometry
  
  #endif // BOOST_GEOMETRY_PROJECTIONS_URMFPS_HPP
  
  