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0001 // Boost.Geometry - gis-projections (based on PROJ4)
0002 
0003 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
0004 
0005 // This file was modified by Oracle on 2017, 2018, 2019.
0006 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
0007 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
0008 
0009 // Use, modification and distribution is subject to the Boost Software License,
0010 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
0011 // http://www.boost.org/LICENSE_1_0.txt)
0012 
0013 // This file is converted from PROJ4, http://trac.osgeo.org/proj
0014 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
0015 // PROJ4 is maintained by Frank Warmerdam
0016 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
0017 
0018 // Last updated version of proj: 5.0.0
0019 
0020 // Original copyright notice:
0021 
0022 // Permission is hereby granted, free of charge, to any person obtaining a
0023 // copy of this software and associated documentation files (the "Software"),
0024 // to deal in the Software without restriction, including without limitation
0025 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
0026 // and/or sell copies of the Software, and to permit persons to whom the
0027 // Software is furnished to do so, subject to the following conditions:
0028 
0029 // The above copyright notice and this permission notice shall be included
0030 // in all copies or substantial portions of the Software.
0031 
0032 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
0033 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
0034 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
0035 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
0036 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
0037 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
0038 // DEALINGS IN THE SOFTWARE.
0039 
0040 #ifndef BOOST_GEOMETRY_PROJECTIONS_RPOLY_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_RPOLY_HPP
0042 
0043 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0044 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0045 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0046 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
0047 #include <boost/geometry/srs/projections/impl/projects.hpp>
0048 
0049 namespace boost { namespace geometry
0050 {
0051 
0052 namespace projections
0053 {
0054     #ifndef DOXYGEN_NO_DETAIL
0055     namespace detail { namespace rpoly
0056     {
0057 
0058             static const double epsilon = 1e-9;
0059 
0060             template <typename T>
0061             struct par_rpoly
0062             {
0063                 T    phi1;
0064                 T    fxa;
0065                 T    fxb;
0066                 bool mode; // TODO: Not really needed
0067             };
0068 
0069             template <typename T, typename Parameters>
0070             struct base_rpoly_spheroid
0071             {
0072                 par_rpoly<T> m_proj_parm;
0073 
0074                 // FORWARD(s_forward)  spheroid
0075                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0076                 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
0077                 {
0078                     T fa;
0079 
0080                     if (this->m_proj_parm.mode)
0081                         fa = tan(lp_lon * this->m_proj_parm.fxb) * this->m_proj_parm.fxa;
0082                     else
0083                         fa = 0.5 * lp_lon;
0084                     if (fabs(lp_lat) < epsilon) {
0085                         xy_x = fa + fa;
0086                         xy_y = - par.phi0;
0087                     } else {
0088                         xy_y = 1. / tan(lp_lat);
0089                         xy_x = sin(fa = 2. * atan(fa * sin(lp_lat))) * xy_y;
0090                         xy_y = lp_lat - par.phi0 + (1. - cos(fa)) * xy_y;
0091                     }
0092                 }
0093 
0094                 static inline std::string get_name()
0095                 {
0096                     return "rpoly_spheroid";
0097                 }
0098 
0099             };
0100 
0101             // Rectangular Polyconic
0102             template <typename Params, typename Parameters, typename T>
0103             inline void setup_rpoly(Params const& params, Parameters& par, par_rpoly<T>& proj_parm)
0104             {
0105                 proj_parm.phi1 = fabs(pj_get_param_r<T, srs::spar::lat_ts>(params, "lat_ts", srs::dpar::lat_ts));
0106                 if ((proj_parm.mode = (proj_parm.phi1 > epsilon)))
0107                 {
0108                     proj_parm.fxb = 0.5 * sin(proj_parm.phi1);
0109                     proj_parm.fxa = 0.5 / proj_parm.fxb;
0110                 }
0111                 par.es = 0.;
0112             }
0113 
0114     }} // namespace detail::rpoly
0115     #endif // doxygen
0116 
0117     /*!
0118         \brief Rectangular Polyconic projection
0119         \ingroup projections
0120         \tparam Geographic latlong point type
0121         \tparam Cartesian xy point type
0122         \tparam Parameters parameter type
0123         \par Projection characteristics
0124          - Conic
0125          - Spheroid
0126          - no inverse
0127         \par Projection parameters
0128          - lat_ts: Latitude of true scale (degrees)
0129         \par Example
0130         \image html ex_rpoly.gif
0131     */
0132     template <typename T, typename Parameters>
0133     struct rpoly_spheroid : public detail::rpoly::base_rpoly_spheroid<T, Parameters>
0134     {
0135         template <typename Params>
0136         inline rpoly_spheroid(Params const& params, Parameters & par)
0137         {
0138             detail::rpoly::setup_rpoly(params, par, this->m_proj_parm);
0139         }
0140     };
0141 
0142     #ifndef DOXYGEN_NO_DETAIL
0143     namespace detail
0144     {
0145 
0146         // Static projection
0147         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_rpoly, rpoly_spheroid)
0148 
0149         // Factory entry(s)
0150         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(rpoly_entry, rpoly_spheroid)
0151 
0152         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(rpoly_init)
0153         {
0154             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(rpoly, rpoly_entry)
0155         }
0156 
0157     } // namespace detail
0158     #endif // doxygen
0159 
0160 } // namespace projections
0161 
0162 }} // namespace boost::geometry
0163 
0164 #endif // BOOST_GEOMETRY_PROJECTIONS_RPOLY_HPP
0165