ceph/src/boost/boost/geometry/srs/projections/proj/mbtfpp.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_MBTFPP_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_MBTFPP_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
  50 namespace boost { namespace geometry
  51 {
  52
  53 namespace projections
  54 {
  55     #ifndef DOXYGEN_NO_DETAIL
  56     namespace detail { namespace mbtfpp
  57     {
  58
  59             static const double CS_ = .95257934441568037152;
  60             static const double FXC = .92582009977255146156;
  61             static const double FYC = 3.40168025708304504493;
  62             //static const double C23 = .66666666666666666666;
  63             //static const double C13 = .33333333333333333333;
  64             static const double one_plus_eps = 1.0000001;
  65
  66             template <typename T, typename Parameters>
  67             struct base_mbtfpp_spheroid
  68             {
  69                 // FORWARD(s_forward)  spheroid
  70                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  71                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  72                 {
  73                     static const T C23 = detail::two_thirds<T>();
  74                     static const T C13 = detail::third<T>();
  75
  76                     lp_lat = asin(CS_ * sin(lp_lat));
  77                     xy_x = FXC * lp_lon * (2. * cos(C23 * lp_lat) - 1.);
  78                     xy_y = FYC * sin(C13 * lp_lat);
  79                 }
  80
  81                 // INVERSE(s_inverse)  spheroid
  82                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  83                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  84                 {
  85                     static const T half_pi = detail::half_pi<T>();
  86                     static const T C23 = detail::two_thirds<T>();
  87
  88                     lp_lat = xy_y / FYC;
  89                     if (fabs(lp_lat) >= 1.) {
  90                         if (fabs(lp_lat) > one_plus_eps) {
  91                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  92                         } else {
  93                             lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
  94                         }
  95                     } else
  96                         lp_lat = asin(lp_lat);
  97
  98                     lp_lon = xy_x / ( FXC * (2. * cos(C23 * (lp_lat *= 3.)) - 1.) );
  99                     if (fabs(lp_lat = sin(lp_lat) / CS_) >= 1.) {
 100                         if (fabs(lp_lat) > one_plus_eps) {
 101                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 102                         } else {
 103                             lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
 104                         }
 105                     } else
 106                         lp_lat = asin(lp_lat);
 107                 }
 108
 109                 static inline std::string get_name()
 110                 {
 111                     return "mbtfpp_spheroid";
 112                 }
 113
 114             };
 115
 116             // McBride-Thomas Flat-Polar Parabolic
 117             template <typename Parameters>
 118             inline void setup_mbtfpp(Parameters& par)
 119             {
 120                 par.es = 0.;
 121             }
 122
 123     }} // namespace detail::mbtfpp
 124     #endif // doxygen
 125
 126     /*!
 127         \brief McBride-Thomas Flat-Polar Parabolic projection
 128         \ingroup projections
 129         \tparam Geographic latlong point type
 130         \tparam Cartesian xy point type
 131         \tparam Parameters parameter type
 132         \par Projection characteristics
 133          - Cylindrical
 134          - Spheroid
 135         \par Example
 136         \image html ex_mbtfpp.gif
 137     */
 138     template <typename T, typename Parameters>
 139     struct mbtfpp_spheroid : public detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>
 140     {
 141         template <typename Params>
 142         inline mbtfpp_spheroid(Params const& , Parameters & par)
 143         {
 144             detail::mbtfpp::setup_mbtfpp(par);
 145         }
 146     };
 147
 148     #ifndef DOXYGEN_NO_DETAIL
 149     namespace detail
 150     {
 151
 152         // Static projection
 153         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpp, mbtfpp_spheroid)
 154
 155         // Factory entry(s)
 156         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpp_entry, mbtfpp_spheroid)
 157
 158         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpp_init)
 159         {
 160             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpp, mbtfpp_entry)
 161         }
 162
 163     } // namespace detail
 164     #endif // doxygen
 165
 166 } // namespace projections
 167
 168 }} // namespace boost::geometry
 169
 170 #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP
 171