ceph/src/boost/boost/geometry/srs/projections/proj/bonne.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_BONNE_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_BONNE_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_mlfn.hpp>
  47 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
  48 #include <boost/geometry/srs/projections/impl/projects.hpp>
  49
  50 #include <boost/geometry/util/math.hpp>
  51
  52 #include <boost/math/special_functions/hypot.hpp>
  53
  54 namespace boost { namespace geometry
  55 {
  56
  57 namespace projections
  58 {
  59     #ifndef DOXYGEN_NO_DETAIL
  60     namespace detail { namespace bonne
  61     {
  62
  63             static const double epsilon10 = 1e-10;
  64
  65             template <typename T>
  66             struct par_bonne
  67             {
  68                 T phi1;
  69                 T cphi1;
  70                 T am1;
  71                 T m1;
  72                 detail::en<T> en;
  73             };
  74
  75             template <typename T, typename Parameters>
  76             struct base_bonne_ellipsoid
  77             {
  78                 par_bonne<T> m_proj_parm;
  79
  80                 // FORWARD(e_forward)  ellipsoid
  81                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  82                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  83                 {
  84                     T rh, E, c;
  85
  86                     rh = this->m_proj_parm.am1 + this->m_proj_parm.m1 - pj_mlfn(lp_lat, E = sin(lp_lat), c = cos(lp_lat), this->m_proj_parm.en);
  87                     E = c * lp_lon / (rh * sqrt(1. - par.es * E * E));
  88                     xy_x = rh * sin(E);
  89                     xy_y = this->m_proj_parm.am1 - rh * cos(E);
  90                 }
  91
  92                 // INVERSE(e_inverse)  ellipsoid
  93                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  94                 inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
  95                 {
  96                     static const T half_pi = detail::half_pi<T>();
  97
  98                     T s, rh;
  99
 100                     rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.am1 - xy_y);
 101                     lp_lat = pj_inv_mlfn(this->m_proj_parm.am1 + this->m_proj_parm.m1 - rh, par.es, this->m_proj_parm.en);
 102                     if ((s = fabs(lp_lat)) < half_pi) {
 103                         s = sin(lp_lat);
 104                         lp_lon = rh * atan2(xy_x, xy_y) *
 105                            sqrt(1. - par.es * s * s) / cos(lp_lat);
 106                     } else if (fabs(s - half_pi) <= epsilon10)
 107                         lp_lon = 0.;
 108                     else
 109                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 110                 }
 111
 112                 static inline std::string get_name()
 113                 {
 114                     return "bonne_ellipsoid";
 115                 }
 116
 117             };
 118
 119             template <typename T, typename Parameters>
 120             struct base_bonne_spheroid
 121             {
 122                 par_bonne<T> m_proj_parm;
 123
 124                 // FORWARD(s_forward)  spheroid
 125                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
 126                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
 127                 {
 128                     T E, rh;
 129
 130                     rh = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - lp_lat;
 131                     if (fabs(rh) > epsilon10) {
 132                         xy_x = rh * sin(E = lp_lon * cos(lp_lat) / rh);
 133                         xy_y = this->m_proj_parm.cphi1 - rh * cos(E);
 134                     } else
 135                         xy_x = xy_y = 0.;
 136                 }
 137
 138                 // INVERSE(s_inverse)  spheroid
 139                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
 140                 inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
 141                 {
 142                     static const T half_pi = detail::half_pi<T>();
 143
 144                     T rh;
 145
 146                     rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.cphi1 - xy_y);
 147                     lp_lat = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - rh;
 148                     if (fabs(lp_lat) > half_pi) {
 149                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 150                     }
 151                     if (fabs(fabs(lp_lat) - half_pi) <= epsilon10)
 152                         lp_lon = 0.;
 153                     else
 154                         lp_lon = rh * atan2(xy_x, xy_y) / cos(lp_lat);
 155                 }
 156
 157                 static inline std::string get_name()
 158                 {
 159                     return "bonne_spheroid";
 160                 }
 161
 162             };
 163
 164             // Bonne (Werner lat_1=90)
 165             template <typename Params, typename Parameters, typename T>
 166             inline void setup_bonne(Params const& params, Parameters const& par, par_bonne<T>& proj_parm)
 167             {
 168                 static const T half_pi = detail::half_pi<T>();
 169
 170                 T c;
 171
 172                 proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
 173                 if (fabs(proj_parm.phi1) < epsilon10)
 174                     BOOST_THROW_EXCEPTION( projection_exception(error_lat1_is_zero) );
 175
 176                 if (par.es != 0.0) {
 177                     proj_parm.en = pj_enfn<T>(par.es);
 178                     proj_parm.m1 = pj_mlfn(proj_parm.phi1, proj_parm.am1 = sin(proj_parm.phi1),
 179                         c = cos(proj_parm.phi1), proj_parm.en);
 180                     proj_parm.am1 = c / (sqrt(1. - par.es * proj_parm.am1 * proj_parm.am1) * proj_parm.am1);
 181                 } else {
 182                     if (fabs(proj_parm.phi1) + epsilon10 >= half_pi)
 183                         proj_parm.cphi1 = 0.;
 184                     else
 185                         proj_parm.cphi1 = 1. / tan(proj_parm.phi1);
 186                 }
 187             }
 188
 189     }} // namespace detail::bonne
 190     #endif // doxygen
 191
 192     /*!
 193         \brief Bonne (Werner lat_1=90) projection
 194         \ingroup projections
 195         \tparam Geographic latlong point type
 196         \tparam Cartesian xy point type
 197         \tparam Parameters parameter type
 198         \par Projection characteristics
 199          - Conic
 200          - Spheroid
 201          - Ellipsoid
 202         \par Projection parameters
 203          - lat_1: Latitude of first standard parallel (degrees)
 204         \par Example
 205         \image html ex_bonne.gif
 206     */
 207     template <typename T, typename Parameters>
 208     struct bonne_ellipsoid : public detail::bonne::base_bonne_ellipsoid<T, Parameters>
 209     {
 210         template <typename Params>
 211         inline bonne_ellipsoid(Params const& params, Parameters const& par)
 212         {
 213             detail::bonne::setup_bonne(params, par, this->m_proj_parm);
 214         }
 215     };
 216
 217     /*!
 218         \brief Bonne (Werner lat_1=90) projection
 219         \ingroup projections
 220         \tparam Geographic latlong point type
 221         \tparam Cartesian xy point type
 222         \tparam Parameters parameter type
 223         \par Projection characteristics
 224          - Conic
 225          - Spheroid
 226          - Ellipsoid
 227         \par Projection parameters
 228          - lat_1: Latitude of first standard parallel (degrees)
 229         \par Example
 230         \image html ex_bonne.gif
 231     */
 232     template <typename T, typename Parameters>
 233     struct bonne_spheroid : public detail::bonne::base_bonne_spheroid<T, Parameters>
 234     {
 235         template <typename Params>
 236         inline bonne_spheroid(Params const& params, Parameters const& par)
 237         {
 238             detail::bonne::setup_bonne(params, par, this->m_proj_parm);
 239         }
 240     };
 241
 242     #ifndef DOXYGEN_NO_DETAIL
 243     namespace detail
 244     {
 245
 246         // Static projection
 247         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_bonne, bonne_spheroid, bonne_ellipsoid)
 248
 249         // Factory entry(s)
 250         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(bonne_entry, bonne_spheroid, bonne_ellipsoid)
 251
 252         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bonne_init)
 253         {
 254             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bonne, bonne_entry);
 255         }
 256
 257     } // namespace detail
 258     #endif // doxygen
 259
 260 } // namespace projections
 261
 262 }} // namespace boost::geometry
 263
 264 #endif // BOOST_GEOMETRY_PROJECTIONS_BONNE_HPP
 265