projections/proj/mbtfpp.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_MBTFPP_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP
0042
0043 #include <boost/geometry/util/math.hpp>
0044
0045 #include <boost/geometry/srs/projections/impl/base_static.hpp>
0046 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
0047 #include <boost/geometry/srs/projections/impl/projects.hpp>
0048 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
0049
0050 namespace boost { namespace geometry
0051 {
0052
0053 namespace projections
0054 {
0055     #ifndef DOXYGEN_NO_DETAIL
0056     namespace detail { namespace mbtfpp
0057     {
0058
0059             static const double CS_ = .95257934441568037152;
0060             static const double FXC = .92582009977255146156;
0061             static const double FYC = 3.40168025708304504493;
0062             //static const double C23 = .66666666666666666666;
0063             //static const double C13 = .33333333333333333333;
0064             static const double one_plus_eps = 1.0000001;
0065
0066             template <typename T, typename Parameters>
0067             struct base_mbtfpp_spheroid
0068             {
0069                 // FORWARD(s_forward)  spheroid
0070                 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
0071                 inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
0072                 {
0073                     static const T C23 = detail::two_thirds<T>();
0074                     static const T C13 = detail::third<T>();
0075
0076                     lp_lat = asin(CS_ * sin(lp_lat));
0077                     xy_x = FXC * lp_lon * (2. * cos(C23 * lp_lat) - 1.);
0078                     xy_y = FYC * sin(C13 * lp_lat);
0079                 }
0080
0081                 // INVERSE(s_inverse)  spheroid
0082                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0083                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0084                 {
0085                     static const T half_pi = detail::half_pi<T>();
0086                     static const T C23 = detail::two_thirds<T>();
0087
0088                     lp_lat = xy_y / FYC;
0089                     if (fabs(lp_lat) >= 1.) {
0090                         if (fabs(lp_lat) > one_plus_eps) {
0091                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
0092                         } else {
0093                             lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
0094                         }
0095                     } else
0096                         lp_lat = asin(lp_lat);
0097
0098                     lp_lon = xy_x / ( FXC * (2. * cos(C23 * (lp_lat *= 3.)) - 1.) );
0099                     if (fabs(lp_lat = sin(lp_lat) / CS_) >= 1.) {
0100                         if (fabs(lp_lat) > one_plus_eps) {
0101                             BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
0102                         } else {
0103                             lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
0104                         }
0105                     } else
0106                         lp_lat = asin(lp_lat);
0107                 }
0108
0109                 static inline std::string get_name()
0110                 {
0111                     return "mbtfpp_spheroid";
0112                 }
0113
0114             };
0115
0116             // McBride-Thomas Flat-Polar Parabolic
0117             template <typename Parameters>
0118             inline void setup_mbtfpp(Parameters& par)
0119             {
0120                 par.es = 0.;
0121             }
0122
0123     }} // namespace detail::mbtfpp
0124     #endif // doxygen
0125
0126     /*!
0127         \brief McBride-Thomas Flat-Polar Parabolic projection
0128         \ingroup projections
0129         \tparam Geographic latlong point type
0130         \tparam Cartesian xy point type
0131         \tparam Parameters parameter type
0132         \par Projection characteristics
0133          - Cylindrical
0134          - Spheroid
0135         \par Example
0136         \image html ex_mbtfpp.gif
0137     */
0138     template <typename T, typename Parameters>
0139     struct mbtfpp_spheroid : public detail::mbtfpp::base_mbtfpp_spheroid<T, Parameters>
0140     {
0141         template <typename Params>
0142         inline mbtfpp_spheroid(Params const& , Parameters & par)
0143         {
0144             detail::mbtfpp::setup_mbtfpp(par);
0145         }
0146     };
0147
0148     #ifndef DOXYGEN_NO_DETAIL
0149     namespace detail
0150     {
0151
0152         // Static projection
0153         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpp, mbtfpp_spheroid)
0154
0155         // Factory entry(s)
0156         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpp_entry, mbtfpp_spheroid)
0157
0158         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpp_init)
0159         {
0160             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpp, mbtfpp_entry)
0161         }
0162
0163     } // namespace detail
0164     #endif // doxygen
0165
0166 } // namespace projections
0167
0168 }} // namespace boost::geometry
0169
0170 #endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPP_HPP
0171