ceph/src/boost/boost/geometry/srs/projections/proj/boggs.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_BOGGS_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_BOGGS_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 boggs
  57     {
  58
  59             static const int n_iter = 20;
  60             static const double epsilon = 1e-7;
  61             static const double FXC = 2.00276;
  62             static const double FXC2 = 1.11072;
  63             static const double FYC = 0.49931;
  64
  65             template <typename T, typename Parameters>
  66             struct base_boggs_spheroid
  67             {
  68                 // FORWARD(s_forward)  spheroid
  69                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  70                 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
  71                 {
  72                     static const T half_pi = detail::half_pi<T>();
  73                     static const T pi = detail::pi<T>();
  74                     static const T root_two = boost::math::constants::root_two<T>();
  75
  76                     T theta, th1, c;
  77                     int i;
  78
  79                     theta = lp_lat;
  80                     if (fabs(fabs(lp_lat) - half_pi) < epsilon)
  81                         xy_x = 0.;
  82                     else {
  83                         c = sin(theta) * pi;
  84                         for (i = n_iter; i; --i) {
  85                             theta -= th1 = (theta + sin(theta) - c) /
  86                                 (1. + cos(theta));
  87                             if (fabs(th1) < epsilon) break;
  88                         }
  89                         theta *= 0.5;
  90                         xy_x = FXC * lp_lon / (1. / cos(lp_lat) + FXC2 / cos(theta));
  91                     }
  92                     xy_y = FYC * (lp_lat + root_two * sin(theta));
  93                 }
  94
  95                 static inline std::string get_name()
  96                 {
  97                     return "boggs_spheroid";
  98                 }
  99
 100             };
 101
 102             // Boggs Eumorphic
 103             template <typename Parameters>
 104             inline void setup_boggs(Parameters& par)
 105             {
 106                 par.es = 0.;
 107             }
 108
 109     }} // namespace detail::boggs
 110     #endif // doxygen
 111
 112     /*!
 113         \brief Boggs Eumorphic projection
 114         \ingroup projections
 115         \tparam Geographic latlong point type
 116         \tparam Cartesian xy point type
 117         \tparam Parameters parameter type
 118         \par Projection characteristics
 119          - Pseudocylindrical
 120          - no inverse
 121          - Spheroid
 122         \par Example
 123         \image html ex_boggs.gif
 124     */
 125     template <typename T, typename Parameters>
 126     struct boggs_spheroid : public detail::boggs::base_boggs_spheroid<T, Parameters>
 127     {
 128         template <typename Params>
 129         inline boggs_spheroid(Params const& , Parameters & par)
 130         {
 131             detail::boggs::setup_boggs(par);
 132         }
 133     };
 134
 135     #ifndef DOXYGEN_NO_DETAIL
 136     namespace detail
 137     {
 138
 139         // Static projection
 140         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_boggs, boggs_spheroid)
 141
 142         // Factory entry(s)
 143         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(boggs_entry, boggs_spheroid)
 144
 145         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(boggs_init)
 146         {
 147             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(boggs, boggs_entry);
 148         }
 149
 150     } // namespace detail
 151     #endif // doxygen
 152
 153 } // namespace projections
 154
 155 }} // namespace boost::geometry
 156
 157 #endif // BOOST_GEOMETRY_PROJECTIONS_BOGGS_HPP
 158