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_LOXIM_HPP
41 #define BOOST_GEOMETRY_PROJECTIONS_LOXIM_HPP
43 #include <boost/geometry/srs/projections/impl/base_static.hpp>
44 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
45 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
46 #include <boost/geometry/srs/projections/impl/pj_param.hpp>
47 #include <boost/geometry/srs/projections/impl/projects.hpp>
49 #include <boost/geometry/util/math.hpp>
51 namespace boost { namespace geometry
56 #ifndef DOXYGEN_NO_DETAIL
57 namespace detail { namespace loxim
59 static const double epsilon = 1e-8;
69 template <typename T, typename Parameters>
70 struct base_loxim_spheroid
72 par_loxim<T> m_proj_parm;
74 // FORWARD(s_forward) spheroid
75 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
76 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
78 static const T fourth_pi = detail::fourth_pi<T>();
79 static const T half_pi = detail::half_pi<T>();
81 xy_y = lp_lat - this->m_proj_parm.phi1;
82 if (fabs(xy_y) < epsilon)
83 xy_x = lp_lon * this->m_proj_parm.cosphi1;
85 xy_x = fourth_pi + 0.5 * lp_lat;
86 if (fabs(xy_x) < epsilon || fabs(fabs(xy_x) - half_pi) < epsilon)
89 xy_x = lp_lon * xy_y / log( tan(xy_x) / this->m_proj_parm.tanphi1 );
93 // INVERSE(s_inverse) spheroid
94 // Project coordinates from cartesian (x, y) to geographic (lon, lat)
95 inline void inv(Parameters const&, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
97 static const T fourth_pi = detail::fourth_pi<T>();
98 static const T half_pi = detail::half_pi<T>();
100 lp_lat = xy_y + this->m_proj_parm.phi1;
101 if (fabs(xy_y) < epsilon) {
102 lp_lon = xy_x / this->m_proj_parm.cosphi1;
104 lp_lon = fourth_pi + 0.5 * lp_lat;
105 if (fabs(lp_lon) < epsilon || fabs(fabs(lp_lon) - half_pi) < epsilon)
108 lp_lon = xy_x * log( tan(lp_lon) / this->m_proj_parm.tanphi1 ) / xy_y ;
112 static inline std::string get_name()
114 return "loxim_spheroid";
120 template <typename Params, typename Parameters, typename T>
121 inline void setup_loxim(Params const& params, Parameters& par, par_loxim<T>& proj_parm)
123 static const T fourth_pi = detail::fourth_pi<T>();
125 proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
126 proj_parm.cosphi1 = cos(proj_parm.phi1);
127 if (proj_parm.cosphi1 < epsilon)
128 BOOST_THROW_EXCEPTION( projection_exception(error_lat_larger_than_90) );
130 proj_parm.tanphi1 = tan(fourth_pi + 0.5 * proj_parm.phi1);
135 }} // namespace detail::loxim
139 \brief Loximuthal projection
141 \tparam Geographic latlong point type
142 \tparam Cartesian xy point type
143 \tparam Parameters parameter type
144 \par Projection characteristics
147 \par Projection parameters
148 - lat_1: Latitude of first standard parallel (degrees)
150 \image html ex_loxim.gif
152 template <typename T, typename Parameters>
153 struct loxim_spheroid : public detail::loxim::base_loxim_spheroid<T, Parameters>
155 template <typename Params>
156 inline loxim_spheroid(Params const& params, Parameters & par)
158 detail::loxim::setup_loxim(params, par, this->m_proj_parm);
162 #ifndef DOXYGEN_NO_DETAIL
167 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_loxim, loxim_spheroid)
170 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(loxim_entry, loxim_spheroid)
172 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(loxim_init)
174 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(loxim, loxim_entry)
177 } // namespace detail
180 } // namespace projections
182 }} // namespace boost::geometry
184 #endif // BOOST_GEOMETRY_PROJECTIONS_LOXIM_HPP