boost/geometry/srs/projections/proj/loxim.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_LOXIM_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_LOXIM_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/factory_entry.hpp>
  46 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
  47 #include <boost/geometry/srs/projections/impl/projects.hpp>
  48
  49 #include <boost/geometry/util/math.hpp>
  50
  51 namespace boost { namespace geometry
  52 {
  53
  54 namespace projections
  55 {
  56     #ifndef DOXYGEN_NO_DETAIL
  57     namespace detail { namespace loxim
  58     {
  59             static const double epsilon = 1e-8;
  60
  61             template <typename T>
  62             struct par_loxim
  63             {
  64                 T phi1;
  65                 T cosphi1;
  66                 T tanphi1;
  67             };
  68
  69             template <typename T, typename Parameters>
  70             struct base_loxim_spheroid
  71             {
  72                 par_loxim<T> m_proj_parm;
  73
  74                 // FORWARD(s_forward)  spheroid
  75                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  76                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  77                 {
  78                     static const T fourth_pi = detail::fourth_pi<T>();
  79                     static const T half_pi = detail::half_pi<T>();
  80
  81                     xy_y = lp_lat - this->m_proj_parm.phi1;
  82                     if (fabs(xy_y) < epsilon)
  83                         xy_x = lp_lon * this->m_proj_parm.cosphi1;
  84                     else {
  85                         xy_x = fourth_pi + 0.5 * lp_lat;
  86                         if (fabs(xy_x) < epsilon || fabs(fabs(xy_x) - half_pi) < epsilon)
  87                             xy_x = 0.;
  88                         else
  89                             xy_x = lp_lon * xy_y / log( tan(xy_x) / this->m_proj_parm.tanphi1 );
  90                     }
  91                 }
  92
  93                 // INVERSE(s_inverse)  spheroid
  94                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  95                 inline void inv(Parameters const&, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  96                 {
  97                     static const T fourth_pi = detail::fourth_pi<T>();
  98                     static const T half_pi = detail::half_pi<T>();
  99
 100                     lp_lat = xy_y + this->m_proj_parm.phi1;
 101                     if (fabs(xy_y) < epsilon) {
 102                         lp_lon = xy_x / this->m_proj_parm.cosphi1;
 103                     } else {
 104                         lp_lon = fourth_pi + 0.5 * lp_lat;
 105                         if (fabs(lp_lon) < epsilon || fabs(fabs(lp_lon) - half_pi) < epsilon)
 106                             lp_lon = 0.;
 107                         else
 108                             lp_lon = xy_x * log( tan(lp_lon) / this->m_proj_parm.tanphi1 ) / xy_y ;
 109                     }
 110                 }
 111
 112                 static inline std::string get_name()
 113                 {
 114                     return "loxim_spheroid";
 115                 }
 116
 117             };
 118
 119             // Loximuthal
 120             template <typename Params, typename Parameters, typename T>
 121             inline void setup_loxim(Params const& params, Parameters& par, par_loxim<T>& proj_parm)
 122             {
 123                 static const T fourth_pi = detail::fourth_pi<T>();
 124
 125                 proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
 126                 proj_parm.cosphi1 = cos(proj_parm.phi1);
 127                 if (proj_parm.cosphi1 < epsilon)
 128                     BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) );
 129
 130                 proj_parm.tanphi1 = tan(fourth_pi + 0.5 * proj_parm.phi1);
 131
 132                 par.es = 0.;
 133             }
 134
 135     }} // namespace detail::loxim
 136     #endif // doxygen
 137
 138     /*!
 139         \brief Loximuthal projection
 140         \ingroup projections
 141         \tparam Geographic latlong point type
 142         \tparam Cartesian xy point type
 143         \tparam Parameters parameter type
 144         \par Projection characteristics
 145          - Pseudocylindrical
 146          - Spheroid
 147         \par Projection parameters
 148          - lat_1: Latitude of first standard parallel (degrees)
 149         \par Example
 150         \image html ex_loxim.gif
 151     */
 152     template <typename T, typename Parameters>
 153     struct loxim_spheroid : public detail::loxim::base_loxim_spheroid<T, Parameters>
 154     {
 155         template <typename Params>
 156         inline loxim_spheroid(Params const& params, Parameters & par)
 157         {
 158             detail::loxim::setup_loxim(params, par, this->m_proj_parm);
 159         }
 160     };
 161
 162     #ifndef DOXYGEN_NO_DETAIL
 163     namespace detail
 164     {
 165
 166         // Static projection
 167         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_loxim, loxim_spheroid)
 168
 169         // Factory entry(s)
 170         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(loxim_entry, loxim_spheroid)
 171
 172         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(loxim_init)
 173         {
 174             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(loxim, loxim_entry)
 175         }
 176
 177     } // namespace detail
 178     #endif // doxygen
 179
 180 } // namespace projections
 181
 182 }} // namespace boost::geometry
 183
 184 #endif // BOOST_GEOMETRY_PROJECTIONS_LOXIM_HPP
 185