boost/geometry/srs/projections/proj/mbtfpq.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_MBTFPQ_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_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 mbtfpq
  57     {
  58
  59             static const int n_iter = 20;
  60             static const double epsilon = 1e-7;
  61             static const double one_plus_tol = 1.000001;
  62             static const double C = 1.70710678118654752440;
  63             static const double RC = 0.58578643762690495119;
  64             static const double FYC = 1.87475828462269495505;
  65             static const double RYC = 0.53340209679417701685;
  66             static const double FXC = 0.31245971410378249250;
  67             static const double RXC = 3.20041258076506210122;
  68
  69             template <typename T, typename Parameters>
  70             struct base_mbtfpq_spheroid
  71             {
  72                 // FORWARD(s_forward)  spheroid
  73                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  74                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  75                 {
  76                     T th1, c;
  77                     int i;
  78
  79                     c = C * sin(lp_lat);
  80                     for (i = n_iter; i; --i) {
  81                         lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) /
  82                             (.5*cos(.5*lp_lat)  + cos(lp_lat));
  83                         if (fabs(th1) < epsilon) break;
  84                     }
  85                     xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
  86                     xy_y = FYC * sin(0.5 * lp_lat);
  87                 }
  88
  89                 // INVERSE(s_inverse)  spheroid
  90                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
  91                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
  92                 {
  93                     static const T pi = detail::pi<T>();
  94                     static const T half_pi = detail::half_pi<T>();
  95
  96                     T t;
  97
  98                     lp_lat = RYC * xy_y;
  99                     if (fabs(lp_lat) > 1.) {
 100                         if (fabs(lp_lat) > one_plus_tol) {
 101                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 102                         } else if (lp_lat < 0.) {
 103                             t = -1.; lp_lat = -pi;
 104                         } else {
 105                             t = 1.; lp_lat = pi;
 106                         }
 107                     } else
 108                         lp_lat = 2. * asin(t = lp_lat);
 109                     lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
 110                     lp_lat = RC * (t + sin(lp_lat));
 111                     if (fabs(lp_lat) > 1.)
 112                         if (fabs(lp_lat) > one_plus_tol) {
 113                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
 114                         } else
 115                             lp_lat = lp_lat < 0. ? -half_pi : half_pi;
 116                     else
 117                         lp_lat = asin(lp_lat);
 118                 }
 119
 120                 static inline std::string get_name()
 121                 {
 122                     return "mbtfpq_spheroid";
 123                 }
 124
 125             };
 126
 127             // McBryde-Thomas Flat-Polar Quartic
 128             template <typename Parameters>
 129             inline void setup_mbtfpq(Parameters& par)
 130             {
 131                 par.es = 0.;
 132             }
 133
 134     }} // namespace detail::mbtfpq
 135     #endif // doxygen
 136
 137     /*!
 138         \brief McBryde-Thomas Flat-Polar Quartic projection
 139         \ingroup projections
 140         \tparam Geographic latlong point type
 141         \tparam Cartesian xy point type
 142         \tparam Parameters parameter type
 143         \par Projection characteristics
 144          - Cylindrical
 145          - Spheroid
 146         \par Example
 147         \image html ex_mbtfpq.gif
 148     */
 149     template <typename T, typename Parameters>
 150     struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid<T, Parameters>
 151     {
 152         template <typename Params>
 153         inline mbtfpq_spheroid(Params const& , Parameters & par)
 154         {
 155             detail::mbtfpq::setup_mbtfpq(par);
 156         }
 157     };
 158
 159     #ifndef DOXYGEN_NO_DETAIL
 160     namespace detail
 161     {
 162
 163         // Static projection
 164         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq, mbtfpq_spheroid)
 165
 166         // Factory entry(s)
 167         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpq_entry, mbtfpq_spheroid)
 168
 169         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpq_init)
 170         {
 171             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpq, mbtfpq_entry)
 172         }
 173
 174     } // namespace detail
 175     #endif // doxygen
 176
 177 } // namespace projections
 178
 179 }} // namespace boost::geometry
 180
 181 #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP
 182