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+#ifndef BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
+
+// Boost.Geometry - extensions-gis-projections (based on PROJ4)
+// This file is automatically generated. DO NOT EDIT.
+
+// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2017.
+// Modifications copyright (c) 2017, Oracle and/or its affiliates.
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
+
+// Use, modification and distribution is subject to the Boost Software License,
+// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
+// http://www.boost.org/LICENSE_1_0.txt)
+
+// This file is converted from PROJ4, http://trac.osgeo.org/proj
+// PROJ4 is originally written by Gerald Evenden (then of the USGS)
+// PROJ4 is maintained by Frank Warmerdam
+// PROJ4 is converted to Boost.Geometry by Barend Gehrels
+
+// Last updated version of proj: 4.9.1
+
+// Original copyright notice:
+
+// Permission is hereby granted, free of charge, to any person obtaining a
+// copy of this software and associated documentation files (the "Software"),
+// to deal in the Software without restriction, including without limitation
+// the rights to use, copy, modify, merge, publish, distribute, sublicense,
+// and/or sell copies of the Software, and to permit persons to whom the
+// Software is furnished to do so, subject to the following conditions:
+
+// The above copyright notice and this permission notice shall be included
+// in all copies or substantial portions of the Software.
+
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
+// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
+// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
+// DEALINGS IN THE SOFTWARE.
+
+#include <boost/geometry/util/math.hpp>
+
+#include <boost/geometry/srs/projections/impl/base_static.hpp>
+#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
+#include <boost/geometry/srs/projections/impl/projects.hpp>
+#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
+
+namespace boost { namespace geometry
+{
+
+namespace srs { namespace par4
+{
+ struct lagrng {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace lagrng
+ {
+
+ static const double TOL = 1e-10;
+
+ template <typename T>
+ struct par_lagrng
+ {
+ T hrw;
+ T rw;
+ T a1;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_lagrng_spheroid : public base_t_f<base_lagrng_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_lagrng<CalculationType> m_proj_parm;
+
+ inline base_lagrng_spheroid(const Parameters& par)
+ : base_t_f<base_lagrng_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(s_forward) spheroid
+ // Project coordinates from geographic (lon, lat) to cartesian (x, y)
+ inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
+ {
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+
+ CalculationType v, c;
+
+ if (fabs(fabs(lp_lat) - HALFPI) < TOL) {
+ xy_x = 0;
+ xy_y = lp_lat < 0 ? -2. : 2.;
+ } else {
+ lp_lat = sin(lp_lat);
+ v = this->m_proj_parm.a1 * pow((1. + lp_lat)/(1. - lp_lat), this->m_proj_parm.hrw);
+ if ((c = 0.5 * (v + 1./v) + cos(lp_lon *= this->m_proj_parm.rw)) < TOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ xy_x = 2. * sin(lp_lon) / c;
+ xy_y = (v - 1./v) / c;
+ }
+ }
+
+ static inline std::string get_name()
+ {
+ return "lagrng_spheroid";
+ }
+
+ };
+
+ // Lagrange
+ template <typename Parameters, typename T>
+ inline void setup_lagrng(Parameters& par, par_lagrng<T>& proj_parm)
+ {
+ T phi1;
+
+ if ((proj_parm.rw = pj_param(par.params, "dW").f) <= 0)
+ BOOST_THROW_EXCEPTION( projection_exception(-27) );
+ proj_parm.hrw = 0.5 * (proj_parm.rw = 1. / proj_parm.rw);
+ phi1 = pj_param(par.params, "rlat_1").f;
+ if (fabs(fabs(phi1 = sin(phi1)) - 1.) < TOL)
+ BOOST_THROW_EXCEPTION( projection_exception(-22) );
+ proj_parm.a1 = pow((1. - phi1)/(1. + phi1), proj_parm.hrw);
+ par.es = 0.;
+ }
+
+ }} // namespace detail::lagrng
+ #endif // doxygen
+
+ /*!
+ \brief Lagrange projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Miscellaneous
+ - Spheroid
+ - no inverse
+ \par Projection parameters
+ - W (real)
+ - lat_1: Latitude of first standard parallel (degrees)
+ \par Example
+ \image html ex_lagrng.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct lagrng_spheroid : public detail::lagrng::base_lagrng_spheroid<CalculationType, Parameters>
+ {
+ inline lagrng_spheroid(const Parameters& par) : detail::lagrng::base_lagrng_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::lagrng::setup_lagrng(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::lagrng, lagrng_spheroid, lagrng_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class lagrng_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_f<lagrng_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void lagrng_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("lagrng", new lagrng_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_LAGRNG_HPP
+