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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_CRAST_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_CRAST_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/projects.hpp>
0046 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0047 
0048 namespace boost { namespace geometry
0049 {
0050 
0051 namespace projections
0052 {
0053     #ifndef DOXYGEN_NO_DETAIL
0054     namespace detail { namespace crast
0055     {
0056 
0057             static const double XM = 0.97720502380583984317;
0058             static const double RXM = 1.02332670794648848847;
0059             static const double YM = 3.06998012383946546542;
0060             static const double RYM = 0.32573500793527994772;
0061             //static const double third = 0.333333333333333333;
0062 
0063             template <typename T, typename Parameters>
0064             struct base_crast_spheroid
0065             {
0066                 // FORWARD(s_forward)  spheroid
0067                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0068                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0069                 {
0070                     static const T third = detail::third<T>();
0071 
0072                     lp_lat *= third;
0073                     xy_x = XM * lp_lon * (2. * cos(lp_lat + lp_lat) - 1.);
0074                     xy_y = YM * sin(lp_lat);
0075                 }
0076 
0077                 // INVERSE(s_inverse)  spheroid
0078                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0079                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0080                 {
0081                     static const T third = detail::third<T>();
0082 
0083                     lp_lat = 3. * asin(xy_y * RYM);
0084                     lp_lon = xy_x * RXM / (2. * cos((lp_lat + lp_lat) * third) - 1);
0085                 }
0086 
0087                 static inline std::string get_name()
0088                 {
0089                     return "crast_spheroid";
0090                 }
0091 
0092             };
0093 
0094             // Craster Parabolic (Putnins P4)
0095             template <typename Parameters>
0096             inline void setup_crast(Parameters& par)
0097             {
0098                 par.es = 0.;
0099             }
0100 
0101     }} // namespace detail::crast
0102     #endif // doxygen
0103 
0104     /*!
0105         \brief Craster Parabolic (Putnins P4) projection
0106         \ingroup projections
0107         \tparam Geographic latlong point type
0108         \tparam Cartesian xy point type
0109         \tparam Parameters parameter type
0110         \par Projection characteristics
0111          - Pseudocylindrical
0112          - Spheroid
0113         \par Example
0114         \image html ex_crast.gif
0115     */
0116     template <typename T, typename Parameters>
0117     struct crast_spheroid : public detail::crast::base_crast_spheroid<T, Parameters>
0118     {
0119         template <typename Params>
0120         inline crast_spheroid(Params const& , Parameters & par)
0121         {
0122             detail::crast::setup_crast(par);
0123         }
0124     };
0125 
0126     #ifndef DOXYGEN_NO_DETAIL
0127     namespace detail
0128     {
0129 
0130         // Static projection
0131         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_crast, crast_spheroid)
0132 
0133         // Factory entry(s)
0134         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(crast_entry, crast_spheroid)
0135 
0136         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(crast_init)
0137         {
0138             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(crast, crast_entry);
0139         }
0140 
0141     } // namespace detail
0142     #endif // doxygen
0143 
0144 } // namespace projections
0145 
0146 }} // namespace boost::geometry
0147 
0148 #endif // BOOST_GEOMETRY_PROJECTIONS_CRAST_HPP
0149