projections/proj/collg.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_COLLG_HPP
0041 #define BOOST_GEOMETRY_PROJECTIONS_COLLG_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 collg
0057     {
0058
0059             static const double FXC = 1.12837916709551257390;
0060             static const double FYC = 1.77245385090551602729;
0061             static const double one_plus_eps = 1.0000001;
0062
0063             template <typename T, typename Parameters>
0064             struct base_collg_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 const& lp_lat, T& xy_x, T& xy_y) const
0069                 {
0070                     if ((xy_y = 1. - sin(lp_lat)) <= 0.)
0071                         xy_y = 0.;
0072                     else
0073                         xy_y = sqrt(xy_y);
0074                     xy_x = FXC * lp_lon * xy_y;
0075                     xy_y = FYC * (1. - xy_y);
0076                 }
0077
0078                 // INVERSE(s_inverse)  spheroid
0079                 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
0080                 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
0081                 {
0082                     static T const half_pi = detail::half_pi<T>();
0083
0084                     lp_lat = xy_y / FYC - 1.;
0085                     if (fabs(lp_lat = 1. - lp_lat * lp_lat) < 1.)
0086                         lp_lat = asin(lp_lat);
0087                     else if (fabs(lp_lat) > one_plus_eps) {
0088                         BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
0089                     } else {
0090                         lp_lat = lp_lat < 0. ? -half_pi : half_pi;
0091                     }
0092
0093                     if ((lp_lon = 1. - sin(lp_lat)) <= 0.)
0094                         lp_lon = 0.;
0095                     else
0096                         lp_lon = xy_x / (FXC * sqrt(lp_lon));
0097                 }
0098
0099                 static inline std::string get_name()
0100                 {
0101                     return "collg_spheroid";
0102                 }
0103
0104             };
0105
0106             // Collignon
0107             template <typename Parameters>
0108             inline void setup_collg(Parameters& par)
0109             {
0110                 par.es = 0.;
0111             }
0112
0113     }} // namespace collg
0114     #endif // doxygen
0115
0116     /*!
0117         \brief Collignon projection
0118         \ingroup projections
0119         \tparam Geographic latlong point type
0120         \tparam Cartesian xy point type
0121         \tparam Parameters parameter type
0122         \par Projection characteristics
0123          - Pseudocylindrical
0124          - Spheroid
0125         \par Example
0126         \image html ex_collg.gif
0127     */
0128     template <typename T, typename Parameters>
0129     struct collg_spheroid : public detail::collg::base_collg_spheroid<T, Parameters>
0130     {
0131         template <typename Params>
0132         inline collg_spheroid(Params const& , Parameters & par)
0133         {
0134             detail::collg::setup_collg(par);
0135         }
0136     };
0137
0138     #ifndef DOXYGEN_NO_DETAIL
0139     namespace detail
0140     {
0141
0142         // Static projection
0143         BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_collg, collg_spheroid)
0144
0145         // Factory entry(s)
0146         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(collg_entry, collg_spheroid)
0147
0148         BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(collg_init)
0149         {
0150             BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(collg, collg_entry);
0151         }
0152
0153     } // namespace detail
0154     #endif // doxygen
0155
0156 } // namespace projections
0157
0158 }} // namespace boost::geometry
0159
0160 #endif // BOOST_GEOMETRY_PROJECTIONS_COLLG_HPP
0161