1 #ifndef BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
2 #define BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
4 // Boost.Geometry - extensions-gis-projections (based on PROJ4)
5 // This file is automatically generated. DO NOT EDIT.
7 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
9 // This file was modified by Oracle on 2017.
10 // Modifications copyright (c) 2017, Oracle and/or its affiliates.
11 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
13 // Use, modification and distribution is subject to the Boost Software License,
14 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
15 // http://www.boost.org/LICENSE_1_0.txt)
17 // This file is converted from PROJ4, http://trac.osgeo.org/proj
18 // PROJ4 is originally written by Gerald Evenden (then of the USGS)
19 // PROJ4 is maintained by Frank Warmerdam
20 // PROJ4 is converted to Boost.Geometry by Barend Gehrels
22 // Last updated version of proj: 4.9.1
24 // Original copyright notice:
26 // Permission is hereby granted, free of charge, to any person obtaining a
27 // copy of this software and associated documentation files (the "Software"),
28 // to deal in the Software without restriction, including without limitation
29 // the rights to use, copy, modify, merge, publish, distribute, sublicense,
30 // and/or sell copies of the Software, and to permit persons to whom the
31 // Software is furnished to do so, subject to the following conditions:
33 // The above copyright notice and this permission notice shall be included
34 // in all copies or substantial portions of the Software.
36 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
37 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
38 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
39 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
40 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
41 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
42 // DEALINGS IN THE SOFTWARE.
44 #include <boost/geometry/util/math.hpp>
46 #include <boost/geometry/srs/projections/impl/base_static.hpp>
47 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
48 #include <boost/geometry/srs/projections/impl/projects.hpp>
49 #include <boost/geometry/srs/projections/impl/factory_entry.hpp>
51 namespace boost { namespace geometry
54 namespace srs { namespace par4
58 }} //namespace srs::par4
62 #ifndef DOXYGEN_NO_DETAIL
63 namespace detail { namespace lagrng
66 static const double TOL = 1e-10;
76 // template class, using CRTP to implement forward/inverse
77 template <typename CalculationType, typename Parameters>
78 struct base_lagrng_spheroid : public base_t_f<base_lagrng_spheroid<CalculationType, Parameters>,
79 CalculationType, Parameters>
82 typedef CalculationType geographic_type;
83 typedef CalculationType cartesian_type;
85 par_lagrng<CalculationType> m_proj_parm;
87 inline base_lagrng_spheroid(const Parameters& par)
88 : base_t_f<base_lagrng_spheroid<CalculationType, Parameters>,
89 CalculationType, Parameters>(*this, par) {}
91 // FORWARD(s_forward) spheroid
92 // Project coordinates from geographic (lon, lat) to cartesian (x, y)
93 inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
95 static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
99 if (fabs(fabs(lp_lat) - HALFPI) < TOL) {
101 xy_y = lp_lat < 0 ? -2. : 2.;
103 lp_lat = sin(lp_lat);
104 v = this->m_proj_parm.a1 * pow((1. + lp_lat)/(1. - lp_lat), this->m_proj_parm.hrw);
105 if ((c = 0.5 * (v + 1./v) + cos(lp_lon *= this->m_proj_parm.rw)) < TOL)
106 BOOST_THROW_EXCEPTION( projection_exception(-20) );
107 xy_x = 2. * sin(lp_lon) / c;
108 xy_y = (v - 1./v) / c;
112 static inline std::string get_name()
114 return "lagrng_spheroid";
120 template <typename Parameters, typename T>
121 inline void setup_lagrng(Parameters& par, par_lagrng<T>& proj_parm)
125 if ((proj_parm.rw = pj_param(par.params, "dW").f) <= 0)
126 BOOST_THROW_EXCEPTION( projection_exception(-27) );
127 proj_parm.hrw = 0.5 * (proj_parm.rw = 1. / proj_parm.rw);
128 phi1 = pj_param(par.params, "rlat_1").f;
129 if (fabs(fabs(phi1 = sin(phi1)) - 1.) < TOL)
130 BOOST_THROW_EXCEPTION( projection_exception(-22) );
131 proj_parm.a1 = pow((1. - phi1)/(1. + phi1), proj_parm.hrw);
135 }} // namespace detail::lagrng
139 \brief Lagrange projection
141 \tparam Geographic latlong point type
142 \tparam Cartesian xy point type
143 \tparam Parameters parameter type
144 \par Projection characteristics
148 \par Projection parameters
150 - lat_1: Latitude of first standard parallel (degrees)
152 \image html ex_lagrng.gif
154 template <typename CalculationType, typename Parameters>
155 struct lagrng_spheroid : public detail::lagrng::base_lagrng_spheroid<CalculationType, Parameters>
157 inline lagrng_spheroid(const Parameters& par) : detail::lagrng::base_lagrng_spheroid<CalculationType, Parameters>(par)
159 detail::lagrng::setup_lagrng(this->m_par, this->m_proj_parm);
163 #ifndef DOXYGEN_NO_DETAIL
168 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::lagrng, lagrng_spheroid, lagrng_spheroid)
171 template <typename CalculationType, typename Parameters>
172 class lagrng_entry : public detail::factory_entry<CalculationType, Parameters>
175 virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
177 return new base_v_f<lagrng_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
181 template <typename CalculationType, typename Parameters>
182 inline void lagrng_init(detail::base_factory<CalculationType, Parameters>& factory)
184 factory.add_to_factory("lagrng", new lagrng_entry<CalculationType, Parameters>);
187 } // namespace detail
190 } // namespace projections
192 }} // namespace boost::geometry
194 #endif // BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP