1 // Boost.Geometry - gis-projections (based on PROJ4)
3 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
5 // This file was modified by Oracle on 2017, 2018, 2019.
6 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
9 // Use, modification and distribution is subject to the Boost Software License,
10 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
11 // http://www.boost.org/LICENSE_1_0.txt)
13 // This file is converted from PROJ4, http://trac.osgeo.org/proj
14 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
15 // PROJ4 is maintained by Frank Warmerdam
16 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
18 // Last updated version of proj: 5.0.0
20 // Original copyright notice:
22 // Permission is hereby granted, free of charge, to any person obtaining a
23 // copy of this software and associated documentation files (the "Software"),
24 // to deal in the Software without restriction, including without limitation
25 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
26 // and/or sell copies of the Software, and to permit persons to whom the
27 // Software is furnished to do so, subject to the following conditions:
29 // The above copyright notice and this permission notice shall be included
30 // in all copies or substantial portions of the Software.
32 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
33 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
34 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
35 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
36 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
37 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
38 // DEALINGS IN THE SOFTWARE.
40 #ifndef BOOST_GEOMETRY_PROJECTIONS_COLLG_HPP
41 #define BOOST_GEOMETRY_PROJECTIONS_COLLG_HPP
43 #include <boost/geometry/util/math.hpp>
45 #include <boost/geometry/srs/projections/impl/base_static.hpp>
46 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
47 #include <boost/geometry/srs/projections/impl/projects.hpp>
48 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
50 namespace boost { namespace geometry
55 #ifndef DOXYGEN_NO_DETAIL
56 namespace detail { namespace collg
59 static const double FXC = 1.12837916709551257390;
60 static const double FYC = 1.77245385090551602729;
61 static const double one_plus_eps = 1.0000001;
63 template <typename T, typename Parameters>
64 struct base_collg_spheroid
66 // FORWARD(s_forward) spheroid
67 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
68 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
70 if ((xy_y = 1. - sin(lp_lat)) <= 0.)
74 xy_x = FXC * lp_lon * xy_y;
75 xy_y = FYC * (1. - xy_y);
78 // INVERSE(s_inverse) spheroid
79 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
80 inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
82 static T const half_pi = detail::half_pi<T>();
84 lp_lat = xy_y / FYC - 1.;
85 if (fabs(lp_lat = 1. - lp_lat * lp_lat) < 1.)
86 lp_lat = asin(lp_lat);
87 else if (fabs(lp_lat) > one_plus_eps) {
88 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
90 lp_lat = lp_lat < 0. ? -half_pi : half_pi;
93 if ((lp_lon = 1. - sin(lp_lat)) <= 0.)
96 lp_lon = xy_x / (FXC * sqrt(lp_lon));
99 static inline std::string get_name()
101 return "collg_spheroid";
107 template <typename Parameters>
108 inline void setup_collg(Parameters& par)
113 }} // namespace collg
117 \brief Collignon projection
119 \tparam Geographic latlong point type
120 \tparam Cartesian xy point type
121 \tparam Parameters parameter type
122 \par Projection characteristics
126 \image html ex_collg.gif
128 template <typename T, typename Parameters>
129 struct collg_spheroid : public detail::collg::base_collg_spheroid<T, Parameters>
131 template <typename Params>
132 inline collg_spheroid(Params const& , Parameters & par)
134 detail::collg::setup_collg(par);
138 #ifndef DOXYGEN_NO_DETAIL
143 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_collg, collg_spheroid)
146 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(collg_entry, collg_spheroid)
148 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(collg_init)
150 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(collg, collg_entry);
153 } // namespace detail
156 } // namespace projections
158 }} // namespace boost::geometry
160 #endif // BOOST_GEOMETRY_PROJECTIONS_COLLG_HPP