ceph/src/boost/boost/geometry/srs/projections/proj/nsper.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_NSPER_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
  42
  43 #include <boost/config.hpp>
  44
  45 #include <boost/geometry/srs/projections/impl/base_static.hpp>
  46 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  47 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  48 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
  49 #include <boost/geometry/srs/projections/impl/projects.hpp>
  50
  51 #include <boost/geometry/util/math.hpp>
  52
  53 #include <boost/math/special_functions/hypot.hpp>
  54
  55 namespace boost { namespace geometry
  56 {
  57
  58 namespace projections
  59 {
  60     #ifndef DOXYGEN_NO_DETAIL
  61     namespace detail { namespace nsper
  62     {
  63
  64             static const double epsilon10 = 1.e-10;
  65             enum mode_type {
  66                 n_pole = 0,
  67                 s_pole = 1,
  68                 equit  = 2,
  69                 obliq  = 3
  70             };
  71
  72             template <typename T>
  73             struct par_nsper
  74             {
  75                 T   height;
  76                 T   sinph0;
  77                 T   cosph0;
  78                 T   p;
  79                 T   rp;
  80                 T   pn1;
  81                 T   pfact;
  82                 T   h;
  83                 T   cg;
  84                 T   sg;
  85                 T   sw;
  86                 T   cw;
  87                 mode_type mode;
  88                 bool tilt;
  89             };
  90
  91             template <typename T, typename Parameters>
  92             struct base_nsper_spheroid
  93             {
  94                 par_nsper<T> m_proj_parm;
  95
  96                 // FORWARD(s_forward)  spheroid
  97                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  98                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  99                 {
 100                     T  coslam, cosphi, sinphi;
 101
 102                     sinphi = sin(lp_lat);
 103                     cosphi = cos(lp_lat);
 104                     coslam = cos(lp_lon);
 105                     switch (this->m_proj_parm.mode) {
 106                     case obliq:
 107                         xy_y = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosphi * coslam;
 108                         break;
 109                     case equit:
 110                         xy_y = cosphi * coslam;
 111                         break;
 112                     case s_pole:
 113                         xy_y = - sinphi;
 114                         break;
 115                     case n_pole:
 116                         xy_y = sinphi;
 117                         break;
 118                     }
 119                     if (xy_y < this->m_proj_parm.rp) {
 120                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 121                     }
 122                     xy_y = this->m_proj_parm.pn1 / (this->m_proj_parm.p - xy_y);
 123                     xy_x = xy_y * cosphi * sin(lp_lon);
 124                     switch (this->m_proj_parm.mode) {
 125                     case obliq:
 126                         xy_y *= (this->m_proj_parm.cosph0 * sinphi -
 127                            this->m_proj_parm.sinph0 * cosphi * coslam);
 128                         break;
 129                     case equit:
 130                         xy_y *= sinphi;
 131                         break;
 132                     case n_pole:
 133                         coslam = - coslam;
 134                         BOOST_FALLTHROUGH;
 135                     case s_pole:
 136                         xy_y *= cosphi * coslam;
 137                         break;
 138                     }
 139                     if (this->m_proj_parm.tilt) {
 140                         T yt, ba;
 141
 142                         yt = xy_y * this->m_proj_parm.cg + xy_x * this->m_proj_parm.sg;
 143                         ba = 1. / (yt * this->m_proj_parm.sw * this->m_proj_parm.h + this->m_proj_parm.cw);
 144                         xy_x = (xy_x * this->m_proj_parm.cg - xy_y * this->m_proj_parm.sg) * this->m_proj_parm.cw * ba;
 145                         xy_y = yt * ba;
 146                     }
 147                 }
 148
 149                 // INVERSE(s_inverse)  spheroid
 150                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
 151                 inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
 152                 {
 153                     T  rh, cosz, sinz;
 154
 155                     if (this->m_proj_parm.tilt) {
 156                         T bm, bq, yt;
 157
 158                         yt = 1./(this->m_proj_parm.pn1 - xy_y * this->m_proj_parm.sw);
 159                         bm = this->m_proj_parm.pn1 * xy_x * yt;
 160                         bq = this->m_proj_parm.pn1 * xy_y * this->m_proj_parm.cw * yt;
 161                         xy_x = bm * this->m_proj_parm.cg + bq * this->m_proj_parm.sg;
 162                         xy_y = bq * this->m_proj_parm.cg - bm * this->m_proj_parm.sg;
 163                     }
 164                     rh = boost::math::hypot(xy_x, xy_y);
 165                     if ((sinz = 1. - rh * rh * this->m_proj_parm.pfact) < 0.) {
 166                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 167                     }
 168                     sinz = (this->m_proj_parm.p - sqrt(sinz)) / (this->m_proj_parm.pn1 / rh + rh / this->m_proj_parm.pn1);
 169                     cosz = sqrt(1. - sinz * sinz);
 170                     if (fabs(rh) <= epsilon10) {
 171                         lp_lon = 0.;
 172                         lp_lat = par.phi0;
 173                     } else {
 174                         switch (this->m_proj_parm.mode) {
 175                         case obliq:
 176                             lp_lat = asin(cosz * this->m_proj_parm.sinph0 + xy_y * sinz * this->m_proj_parm.cosph0 / rh);
 177                             xy_y = (cosz - this->m_proj_parm.sinph0 * sin(lp_lat)) * rh;
 178                             xy_x *= sinz * this->m_proj_parm.cosph0;
 179                             break;
 180                         case equit:
 181                             lp_lat = asin(xy_y * sinz / rh);
 182                             xy_y = cosz * rh;
 183                             xy_x *= sinz;
 184                             break;
 185                         case n_pole:
 186                             lp_lat = asin(cosz);
 187                             xy_y = -xy_y;
 188                             break;
 189                         case s_pole:
 190                             lp_lat = - asin(cosz);
 191                             break;
 192                         }
 193                         lp_lon = atan2(xy_x, xy_y);
 194                     }
 195                 }
 196
 197                 static inline std::string get_name()
 198                 {
 199                     return "nsper_spheroid";
 200                 }
 201
 202             };
 203
 204             template <typename Params, typename Parameters, typename T>
 205             inline void setup(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
 206             {
 207                 proj_parm.height = pj_get_param_f<T, srs::spar::h>(params, "h", srs::dpar::h);
 208                 if (proj_parm.height <= 0.)
 209                     BOOST_THROW_EXCEPTION( projection_exception(error_h_less_than_zero) );
 210
 211                 if (fabs(fabs(par.phi0) - geometry::math::half_pi<T>()) < epsilon10)
 212                     proj_parm.mode = par.phi0 < 0. ? s_pole : n_pole;
 213                 else if (fabs(par.phi0) < epsilon10)
 214                     proj_parm.mode = equit;
 215                 else {
 216                     proj_parm.mode = obliq;
 217                     proj_parm.sinph0 = sin(par.phi0);
 218                     proj_parm.cosph0 = cos(par.phi0);
 219                 }
 220                 proj_parm.pn1 = proj_parm.height / par.a; /* normalize by radius */
 221                 proj_parm.p = 1. + proj_parm.pn1;
 222                 proj_parm.rp = 1. / proj_parm.p;
 223                 proj_parm.h = 1. / proj_parm.pn1;
 224                 proj_parm.pfact = (proj_parm.p + 1.) * proj_parm.h;
 225                 par.es = 0.;
 226             }
 227
 228
 229             // Near-sided perspective
 230             template <typename Params, typename Parameters, typename T>
 231             inline void setup_nsper(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
 232             {
 233                 proj_parm.tilt = false;
 234
 235                 setup(params, par, proj_parm);
 236             }
 237
 238             // Tilted perspective
 239             template <typename Params, typename Parameters, typename T>
 240             inline void setup_tpers(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
 241             {
 242                 T const omega = pj_get_param_r<T, srs::spar::tilt>(params, "tilt", srs::dpar::tilt);
 243                 T const gamma = pj_get_param_r<T, srs::spar::azi>(params, "azi", srs::dpar::azi);
 244                 proj_parm.tilt = true;
 245                 proj_parm.cg = cos(gamma); proj_parm.sg = sin(gamma);
 246                 proj_parm.cw = cos(omega); proj_parm.sw = sin(omega);
 247
 248                 setup(params, par, proj_parm);
 249             }
 250
 251     }} // namespace detail::nsper
 252     #endif // doxygen
 253
 254     /*!
 255         \brief Near-sided perspective projection
 256         \ingroup projections
 257         \tparam Geographic latlong point type
 258         \tparam Cartesian xy point type
 259         \tparam Parameters parameter type
 260         \par Projection characteristics
 261          - Azimuthal
 262          - Spheroid
 263         \par Projection parameters
 264          - h: Height
 265         \par Example
 266         \image html ex_nsper.gif
 267     */
 268     template <typename T, typename Parameters>
 269     struct nsper_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
 270     {
 271         template <typename Params>
 272         inline nsper_spheroid(Params const& params, Parameters & par)
 273         {
 274             detail::nsper::setup_nsper(params, par, this->m_proj_parm);
 275         }
 276     };
 277
 278     /*!
 279         \brief Tilted perspective projection
 280         \ingroup projections
 281         \tparam Geographic latlong point type
 282         \tparam Cartesian xy point type
 283         \tparam Parameters parameter type
 284         \par Projection characteristics
 285          - Azimuthal
 286          - Spheroid
 287         \par Projection parameters
 288          - tilt: Tilt, or Omega (real)
 289          - azi: Azimuth (or Gamma) (real)
 290          - h: Height
 291         \par Example
 292         \image html ex_tpers.gif
 293     */
 294     template <typename T, typename Parameters>
 295     struct tpers_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
 296     {
 297         template <typename Params>
 298         inline tpers_spheroid(Params const& params, Parameters & par)
 299         {
 300             detail::nsper::setup_tpers(params, par, this->m_proj_parm);
 301         }
 302     };
 303
 304     #ifndef DOXYGEN_NO_DETAIL
 305     namespace detail
 306     {
 307
 308         // Static projection
 309         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_nsper, nsper_spheroid)
 310         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_tpers, tpers_spheroid)
 311
 312         // Factory entry(s)
 313         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nsper_entry, nsper_spheroid)
 314         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tpers_entry, tpers_spheroid)
 315
 316         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nsper_init)
 317         {
 318             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nsper, nsper_entry)
 319             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tpers, tpers_entry)
 320         }
 321
 322     } // namespace detail
 323     #endif // doxygen
 324
 325 } // namespace projections
 326
 327 }} // namespace boost::geometry
 328
 329 #endif // BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
 330