projections/proj/mbt_fps.hpp

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_MBT_FPS_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_MBT_FPS_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 #include <boost/geometry/srs/projections/impl/aasincos.hpp>
0048
0049 namespace boost { namespace geometry
0050 {
0051
0052 namespace projections
0053 {
0054     #ifndef DOXYGEN_NO_DETAIL
0055     namespace detail { namespace mbt_fps
0056     {
0057
0058             static const int max_iter = 10;
0059             static const double loop_tol = 1e-7;
0060             static const double C1 = 0.45503;
0061             static const double C2 = 1.36509;
0062             static const double C3 = 1.41546;
0063             static const double C_x = 0.22248;
0064             static const double C_y = 1.44492;
0065             //static const double C1_2 = 0.33333333333333333333333333;
0066
0067             template <typename T>
0068             inline T C1_2() { return detail::third<T>(); }
0069
0070             template <typename T, typename Parameters>
0071             struct base_mbt_fps_spheroid
0072             {
0073                 // FORWARD(s_forward)  spheroid
0074                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0075                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0076                 {
0077                     static const T C1_2 = mbt_fps::C1_2<T>();
0078
0079                     T k, V, t;
0080                     int i;
0081
0082                     k = C3 * sin(lp_lat);
0083                     for (i = max_iter; i ; --i) {
0084                         t = lp_lat / C2;
0085                         lp_lat -= V = (C1 * sin(t) + sin(lp_lat) - k) /
0086                             (C1_2 * cos(t) + cos(lp_lat));
0087                         if (fabs(V) < loop_tol)
0088                             break;
0089                     }
0090                     t = lp_lat / C2;
0091                     xy_x = C_x * lp_lon * (1. + 3. * cos(lp_lat)/cos(t) );
0092                     xy_y = C_y * sin(t);
0093                 }
0094
0095                 // INVERSE(s_inverse)  spheroid
0096                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0097                 inline void inv(Parameters const&, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0098                 {
0099                     T t;
0100
0101                     lp_lat = C2 * (t = aasin(xy_y / C_y));
0102                     lp_lon = xy_x / (C_x * (1. + 3. * cos(lp_lat)/cos(t)));
0103                     lp_lat = aasin((C1 * sin(t) + sin(lp_lat)) / C3);
0104                 }
0105
0106                 static inline std::string get_name()
0107                 {
0108                     return "mbt_fps_spheroid";
0109                 }
0110
0111             };
0112
0113             // McBryde-Thomas Flat-Pole Sine (No. 2)
0114             template <typename Parameters>
0115             inline void setup_mbt_fps(Parameters& par)
0116             {
0117                 par.es = 0;
0118             }
0119
0120     }} // namespace detail::mbt_fps
0121     #endif // doxygen
0122
0123     /*!
0124         \brief McBryde-Thomas Flat-Pole Sine (No. 2) projection
0125         \ingroup projections
0126         \tparam Geographic latlong point type
0127         \tparam Cartesian xy point type
0128         \tparam Parameters parameter type
0129         \par Projection characteristics
0130          - Cylindrical
0131          - Spheroid
0132         \par Example
0133         \image html ex_mbt_fps.gif
0134     */
0135     template <typename T, typename Parameters>
0136     struct mbt_fps_spheroid : public detail::mbt_fps::base_mbt_fps_spheroid<T, Parameters>
0137     {
0138         template <typename Params>
0139         inline mbt_fps_spheroid(Params const& , Parameters & par)
0140         {
0141             detail::mbt_fps::setup_mbt_fps(par);
0142         }
0143     };
0144
0145     #ifndef DOXYGEN_NO_DETAIL
0146     namespace detail
0147     {
0148
0149         // Static projection
0150         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbt_fps, mbt_fps_spheroid)
0151
0152         // Factory entry(s)
0153         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbt_fps_entry, mbt_fps_spheroid)
0154
0155         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbt_fps_init)
0156         {
0157             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbt_fps, mbt_fps_entry)
0158         }
0159
0160     } // namespace detail
0161     #endif // doxygen
0162
0163 } // namespace projections
0164
0165 }} // namespace boost::geometry
0166
0167 #endif // BOOST_GEOMETRY_PROJECTIONS_MBT_FPS_HPP
0168