ceph/src/boost/boost/geometry/srs/projections/proj/somerc.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_SOMERC_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_SOMERC_HPP
  42
  43 #include <boost/geometry/util/math.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/projects.hpp>
  48 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  49 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
  50
  51 namespace boost { namespace geometry
  52 {
  53
  54 namespace projections
  55 {
  56     #ifndef DOXYGEN_NO_DETAIL
  57     namespace detail { namespace somerc
  58     {
  59             static const double epsilon = 1.e-10;
  60             static const int n_iter = 6;
  61
  62             template <typename T>
  63             struct par_somerc
  64             {
  65                 T K, c, hlf_e, kR, cosp0, sinp0;
  66             };
  67
  68             template <typename T, typename Parameters>
  69             struct base_somerc_ellipsoid
  70             {
  71                 par_somerc<T> m_proj_parm;
  72
  73                 // FORWARD(e_forward)
  74                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  75                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  76                 {
  77                     static const T fourth_pi = detail::fourth_pi<T>();
  78                     static const T half_pi = detail::half_pi<T>();
  79
  80                     T phip, lamp, phipp, lampp, sp, cp;
  81
  82                     sp = par.e * sin(lp_lat);
  83                     phip = 2.* atan( exp( this->m_proj_parm.c * (
  84                         log(tan(fourth_pi + 0.5 * lp_lat)) - this->m_proj_parm.hlf_e * log((1. + sp)/(1. - sp)))
  85                         + this->m_proj_parm.K)) - half_pi;
  86                     lamp = this->m_proj_parm.c * lp_lon;
  87                     cp = cos(phip);
  88                     phipp = aasin(this->m_proj_parm.cosp0 * sin(phip) - this->m_proj_parm.sinp0 * cp * cos(lamp));
  89                     lampp = aasin(cp * sin(lamp) / cos(phipp));
  90                     xy_x = this->m_proj_parm.kR * lampp;
  91                     xy_y = this->m_proj_parm.kR * log(tan(fourth_pi + 0.5 * phipp));
  92                 }
  93
  94                 // INVERSE(e_inverse)  ellipsoid & spheroid
  95                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  96                 inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  97                 {
  98                     static const T fourth_pi = detail::fourth_pi<T>();
  99
 100                     T phip, lamp, phipp, lampp, cp, esp, con, delp;
 101                     int i;
 102
 103                     phipp = 2. * (atan(exp(xy_y / this->m_proj_parm.kR)) - fourth_pi);
 104                     lampp = xy_x / this->m_proj_parm.kR;
 105                     cp = cos(phipp);
 106                     phip = aasin(this->m_proj_parm.cosp0 * sin(phipp) + this->m_proj_parm.sinp0 * cp * cos(lampp));
 107                     lamp = aasin(cp * sin(lampp) / cos(phip));
 108                     con = (this->m_proj_parm.K - log(tan(fourth_pi + 0.5 * phip)))/this->m_proj_parm.c;
 109                     for (i = n_iter; i ; --i) {
 110                         esp = par.e * sin(phip);
 111                         delp = (con + log(tan(fourth_pi + 0.5 * phip)) - this->m_proj_parm.hlf_e *
 112                             log((1. + esp)/(1. - esp)) ) *
 113                             (1. - esp * esp) * cos(phip) * par.rone_es;
 114                         phip -= delp;
 115                         if (fabs(delp) < epsilon)
 116                             break;
 117                     }
 118                     if (i) {
 119                         lp_lat = phip;
 120                         lp_lon = lamp / this->m_proj_parm.c;
 121                     } else {
 122                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 123                     }
 124                 }
 125
 126                 static inline std::string get_name()
 127                 {
 128                     return "somerc_ellipsoid";
 129                 }
 130
 131             };
 132
 133             // Swiss. Obl. Mercator
 134             template <typename Parameters, typename T>
 135             inline void setup_somerc(Parameters const& par, par_somerc<T>& proj_parm)
 136             {
 137                 static const T fourth_pi = detail::fourth_pi<T>();
 138
 139                 T cp, phip0, sp;
 140
 141                 proj_parm.hlf_e = 0.5 * par.e;
 142                 cp = cos(par.phi0);
 143                 cp *= cp;
 144                 proj_parm.c = sqrt(1 + par.es * cp * cp * par.rone_es);
 145                 sp = sin(par.phi0);
 146                 proj_parm.cosp0 = cos( phip0 = aasin(proj_parm.sinp0 = sp / proj_parm.c) );
 147                 sp *= par.e;
 148                 proj_parm.K = log(tan(fourth_pi + 0.5 * phip0)) - proj_parm.c * (
 149                     log(tan(fourth_pi + 0.5 * par.phi0)) - proj_parm.hlf_e *
 150                     log((1. + sp) / (1. - sp)));
 151                 proj_parm.kR = par.k0 * sqrt(par.one_es) / (1. - sp * sp);
 152             }
 153
 154     }} // namespace detail::somerc
 155     #endif // doxygen
 156
 157     /*!
 158         \brief Swiss. Obl. Mercator projection
 159         \ingroup projections
 160         \tparam Geographic latlong point type
 161         \tparam Cartesian xy point type
 162         \tparam Parameters parameter type
 163         \par Projection characteristics
 164          - Cylindrical
 165          - Ellipsoid
 166          - For CH1903
 167         \par Example
 168         \image html ex_somerc.gif
 169     */
 170     template <typename T, typename Parameters>
 171     struct somerc_ellipsoid : public detail::somerc::base_somerc_ellipsoid<T, Parameters>
 172     {
 173         template <typename Params>
 174         inline somerc_ellipsoid(Params const& , Parameters const& par)
 175         {
 176             detail::somerc::setup_somerc(par, this->m_proj_parm);
 177         }
 178     };
 179
 180     #ifndef DOXYGEN_NO_DETAIL
 181     namespace detail
 182     {
 183
 184         // Static projection
 185         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_somerc, somerc_ellipsoid)
 186
 187         // Factory entry(s)
 188         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(somerc_entry, somerc_ellipsoid)
 189
 190         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(somerc_init)
 191         {
 192             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(somerc, somerc_entry)
 193         }
 194
 195     } // namespace detail
 196     #endif // doxygen
 197
 198 } // namespace projections
 199
 200 }} // namespace boost::geometry
 201
 202 #endif // BOOST_GEOMETRY_PROJECTIONS_SOMERC_HPP
 203