ceph/src/boost/boost/geometry/srs/projections/proj/lagrng.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_LAGRNG_HPP
  41 #define BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
  42
  43 #include <boost/geometry/srs/projections/impl/base_static.hpp>
  44 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
  45 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
  46 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
  47 #include <boost/geometry/srs/projections/impl/projects.hpp>
  48
  49 #include <boost/geometry/util/math.hpp>
  50
  51 namespace boost { namespace geometry
  52 {
  53
  54 namespace projections
  55 {
  56     #ifndef DOXYGEN_NO_DETAIL
  57     namespace detail { namespace lagrng
  58     {
  59
  60             static const double tolerance = 1e-10;
  61
  62             template <typename T>
  63             struct par_lagrng
  64             {
  65                 T    a1;
  66                 T    rw;
  67                 T    hrw;
  68             };
  69
  70             template <typename T, typename Parameters>
  71             struct base_lagrng_spheroid
  72             {
  73                 par_lagrng<T> m_proj_parm;
  74
  75                 // FORWARD(s_forward)  spheroid
  76                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
  77                 inline void fwd(Parameters const& , T lp_lon, T lp_lat, T& xy_x, T& xy_y) const
  78                 {
  79                     static const T half_pi = detail::half_pi<T>();
  80
  81                     T v, c;
  82
  83                     if (fabs(fabs(lp_lat) - half_pi) < tolerance) {
  84                         xy_x = 0;
  85                         xy_y = lp_lat < 0 ? -2. : 2.;
  86                     } else {
  87                         lp_lat = sin(lp_lat);
  88                         v = this->m_proj_parm.a1 * math::pow((T(1) + lp_lat)/(T(1) - lp_lat), this->m_proj_parm.hrw);
  89                         if ((c = 0.5 * (v + 1./v) + cos(lp_lon *= this->m_proj_parm.rw)) < tolerance) {
  90                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
  91                         }
  92                         xy_x = 2. * sin(lp_lon) / c;
  93                         xy_y = (v - 1./v) / c;
  94                     }
  95                 }
  96
  97                 static inline std::string get_name()
  98                 {
  99                     return "lagrng_spheroid";
 100                 }
 101
 102             };
 103
 104             // Lagrange
 105             template <typename Params, typename Parameters, typename T>
 106             inline void setup_lagrng(Params const& params, Parameters& par, par_lagrng<T>& proj_parm)
 107             {
 108                 T phi1;
 109
 110                 proj_parm.rw = 0.0;
 111                 bool is_w_set = pj_param_f<srs::spar::w>(params, "W", srs::dpar::w, proj_parm.rw);
 112
 113                 // Boost.Geometry specific, set default parameters manually
 114                 if (! is_w_set) {
 115                     bool const use_defaults = ! pj_get_param_b<srs::spar::no_defs>(params, "no_defs", srs::dpar::no_defs);
 116                     if (use_defaults) {
 117                         proj_parm.rw = 2;
 118                     }
 119                 }
 120
 121                 if (proj_parm.rw <= 0)
 122                     BOOST_THROW_EXCEPTION( projection_exception(error_w_or_m_zero_or_less) );
 123
 124                 proj_parm.rw = 1. / proj_parm.rw;
 125                 proj_parm.hrw = 0.5 * proj_parm.rw;
 126                 phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
 127                 if (fabs(fabs(phi1 = sin(phi1)) - 1.) < tolerance)
 128                     BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) );
 129
 130                 proj_parm.a1 = math::pow((T(1) - phi1)/(T(1) + phi1), proj_parm.hrw);
 131
 132                 par.es = 0.;
 133             }
 134
 135     }} // namespace detail::lagrng
 136     #endif // doxygen
 137
 138     /*!
 139         \brief Lagrange projection
 140         \ingroup projections
 141         \tparam Geographic latlong point type
 142         \tparam Cartesian xy point type
 143         \tparam Parameters parameter type
 144         \par Projection characteristics
 145          - Miscellaneous
 146          - Spheroid
 147          - no inverse
 148         \par Projection parameters
 149          - W (real)
 150          - lat_1: Latitude of first standard parallel (degrees)
 151         \par Example
 152         \image html ex_lagrng.gif
 153     */
 154     template <typename T, typename Parameters>
 155     struct lagrng_spheroid : public detail::lagrng::base_lagrng_spheroid<T, Parameters>
 156     {
 157         template <typename Params>
 158         inline lagrng_spheroid(Params const& params, Parameters & par)
 159         {
 160             detail::lagrng::setup_lagrng(params, par, this->m_proj_parm);
 161         }
 162     };
 163
 164     #ifndef DOXYGEN_NO_DETAIL
 165     namespace detail
 166     {
 167
 168         // Static projection
 169         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_lagrng, lagrng_spheroid)
 170
 171         // Factory entry(s)
 172         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(lagrng_entry, lagrng_spheroid)
 173
 174         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(lagrng_init)
 175         {
 176             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lagrng, lagrng_entry);
 177         }
 178
 179     } // namespace detail
 180     #endif // doxygen
 181
 182 } // namespace projections
 183
 184 }} // namespace boost::geometry
 185
 186 #endif // BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
 187