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+#ifndef BOOST_GEOMETRY_PROJECTIONS_GEOS_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_GEOS_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:
+
+// Copyright (c) 2004 Gerald I. Evenden
+// Copyright (c) 2012 Martin Raspaud
+// See also (section 4.4.3.2):
+// http://www.eumetsat.int/en/area4/msg/news/us_doc/cgms_03_26.pdf
+
+// 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/math/special_functions/hypot.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 geos {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace geos
+ {
+ template <typename T>
+ struct par_geos
+ {
+ T h;
+ T radius_p;
+ T radius_p2;
+ T radius_p_inv2;
+ T radius_g;
+ T radius_g_1;
+ T C;
+ std::string sweep_axis;
+ int flip_axis;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_geos_ellipsoid : public base_t_fi<base_geos_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_geos<CalculationType> m_proj_parm;
+
+ inline base_geos_ellipsoid(const Parameters& par)
+ : base_t_fi<base_geos_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(e_forward) ellipsoid
+ // 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
+ {
+ CalculationType r, Vx, Vy, Vz, tmp;
+
+ /* Calculation of geocentric latitude. */
+ lp_lat = atan (this->m_proj_parm.radius_p2 * tan (lp_lat));
+ /* Calculation of the three components of the vector from satellite to
+ ** position on earth surface (lon,lat).*/
+ r = (this->m_proj_parm.radius_p) / boost::math::hypot(this->m_proj_parm.radius_p * cos (lp_lat), sin (lp_lat));
+ Vx = r * cos (lp_lon) * cos (lp_lat);
+ Vy = r * sin (lp_lon) * cos (lp_lat);
+ Vz = r * sin (lp_lat);
+ /* Check visibility. */
+ if (((this->m_proj_parm.radius_g - Vx) * Vx - Vy * Vy - Vz * Vz * this->m_proj_parm.radius_p_inv2) < 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ /* Calculation based on view angles from satellite. */
+ tmp = this->m_proj_parm.radius_g - Vx;
+ if(this->m_proj_parm.flip_axis)
+ {
+ xy_x = this->m_proj_parm.radius_g_1 * atan (Vy / boost::math::hypot (Vz, tmp));
+ xy_y = this->m_proj_parm.radius_g_1 * atan (Vz / tmp);
+ }
+ else
+ {
+ xy_x = this->m_proj_parm.radius_g_1 * atan (Vy / tmp);
+ xy_y = this->m_proj_parm.radius_g_1 * atan (Vz / boost::math::hypot (Vy, tmp));
+ }
+ }
+
+ // INVERSE(e_inverse) ellipsoid
+ // Project coordinates from cartesian (x, y) to geographic (lon, lat)
+ inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
+ {
+ CalculationType Vx, Vy, Vz, a, b, det, k;
+
+ /* Setting three components of vector from satellite to position.*/
+ Vx = -1.0;
+ if(this->m_proj_parm.flip_axis)
+ {
+ Vz = tan (xy_y / this->m_proj_parm.radius_g_1);
+ Vy = tan (xy_x / this->m_proj_parm.radius_g_1) * boost::math::hypot(1.0, Vz);
+ }
+ else
+ {
+ Vy = tan (xy_x / this->m_proj_parm.radius_g_1);
+ Vz = tan (xy_y / this->m_proj_parm.radius_g_1) * boost::math::hypot(1.0, Vy);
+ }
+ /* Calculation of terms in cubic equation and determinant.*/
+ a = Vz / this->m_proj_parm.radius_p;
+ a = Vy * Vy + a * a + Vx * Vx;
+ b = 2 * this->m_proj_parm.radius_g * Vx;
+ if ((det = (b * b) - 4 * a * this->m_proj_parm.C) < 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ /* Calculation of three components of vector from satellite to position.*/
+ k = (-b - sqrt(det)) / (2. * a);
+ Vx = this->m_proj_parm.radius_g + k * Vx;
+ Vy *= k;
+ Vz *= k;
+ /* Calculation of longitude and latitude.*/
+ lp_lon = atan2 (Vy, Vx);
+ lp_lat = atan (Vz * cos (lp_lon) / Vx);
+ lp_lat = atan (this->m_proj_parm.radius_p_inv2 * tan (lp_lat));
+ }
+
+ static inline std::string get_name()
+ {
+ return "geos_ellipsoid";
+ }
+
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_geos_spheroid : public base_t_fi<base_geos_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_geos<CalculationType> m_proj_parm;
+
+ inline base_geos_spheroid(const Parameters& par)
+ : base_t_fi<base_geos_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
+ {
+ CalculationType Vx, Vy, Vz, tmp;
+
+ /* Calculation of the three components of the vector from satellite to
+ ** position on earth surface (lon,lat).*/
+ tmp = cos(lp_lat);
+ Vx = cos (lp_lon) * tmp;
+ Vy = sin (lp_lon) * tmp;
+ Vz = sin (lp_lat);
+ /* Check visibility.*/
+ if (((this->m_proj_parm.radius_g - Vx) * Vx - Vy * Vy - Vz * Vz) < 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ /* Calculation based on view angles from satellite.*/
+ tmp = this->m_proj_parm.radius_g - Vx;
+ if(this->m_proj_parm.flip_axis)
+ {
+ xy_x = this->m_proj_parm.radius_g_1 * atan(Vy / boost::math::hypot(Vz, tmp));
+ xy_y = this->m_proj_parm.radius_g_1 * atan(Vz / tmp);
+ }
+ else
+ {
+ xy_x = this->m_proj_parm.radius_g_1 * atan(Vy / tmp);
+ xy_y = this->m_proj_parm.radius_g_1 * atan(Vz / boost::math::hypot(Vy, tmp));
+ }
+ }
+
+ // INVERSE(s_inverse) spheroid
+ // Project coordinates from cartesian (x, y) to geographic (lon, lat)
+ inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
+ {
+ CalculationType Vx, Vy, Vz, a, b, det, k;
+
+ /* Setting three components of vector from satellite to position.*/
+ Vx = -1.0;
+ if(this->m_proj_parm.flip_axis)
+ {
+ Vz = tan (xy_y / (this->m_proj_parm.radius_g - 1.0));
+ Vy = tan (xy_x / (this->m_proj_parm.radius_g - 1.0)) * sqrt (1.0 + Vz * Vz);
+ }
+ else
+ {
+ Vy = tan (xy_x / (this->m_proj_parm.radius_g - 1.0));
+ Vz = tan (xy_y / (this->m_proj_parm.radius_g - 1.0)) * sqrt (1.0 + Vy * Vy);
+ }
+ /* Calculation of terms in cubic equation and determinant.*/
+ a = Vy * Vy + Vz * Vz + Vx * Vx;
+ b = 2 * this->m_proj_parm.radius_g * Vx;
+ if ((det = (b * b) - 4 * a * this->m_proj_parm.C) < 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ /* Calculation of three components of vector from satellite to position.*/
+ k = (-b - sqrt(det)) / (2 * a);
+ Vx = this->m_proj_parm.radius_g + k * Vx;
+ Vy *= k;
+ Vz *= k;
+ /* Calculation of longitude and latitude.*/
+ lp_lon = atan2 (Vy, Vx);
+ lp_lat = atan (Vz * cos (lp_lon) / Vx);
+ }
+
+ static inline std::string get_name()
+ {
+ return "geos_spheroid";
+ }
+
+ };
+
+ // Geostationary Satellite View
+ template <typename Parameters, typename T>
+ inline void setup_geos(Parameters& par, par_geos<T>& proj_parm)
+ {
+ if ((proj_parm.h = pj_param(par.params, "dh").f) <= 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-30) );
+ if (par.phi0)
+ BOOST_THROW_EXCEPTION( projection_exception(-46) );
+ proj_parm.sweep_axis = pj_param(par.params, "ssweep").s;
+ if (proj_parm.sweep_axis.empty())
+ proj_parm.flip_axis = 0;
+ else {
+ if (proj_parm.sweep_axis[1] != '\0' ||
+ (proj_parm.sweep_axis[0] != 'x' &&
+ proj_parm.sweep_axis[0] != 'y'))
+ BOOST_THROW_EXCEPTION( projection_exception(-49) );
+ if (proj_parm.sweep_axis[0] == 'x')
+ proj_parm.flip_axis = 1;
+ else
+ proj_parm.flip_axis = 0;
+ }
+ proj_parm.radius_g_1 = proj_parm.h / par.a;
+ proj_parm.radius_g = 1. + proj_parm.radius_g_1;
+ proj_parm.C = proj_parm.radius_g * proj_parm.radius_g - 1.0;
+ if (par.es) {
+ proj_parm.radius_p = sqrt (par.one_es);
+ proj_parm.radius_p2 = par.one_es;
+ proj_parm.radius_p_inv2 = par.rone_es;
+ } else {
+ proj_parm.radius_p = proj_parm.radius_p2 = proj_parm.radius_p_inv2 = 1.0;
+ }
+ }
+
+ }} // namespace detail::geos
+ #endif // doxygen
+
+ /*!
+ \brief Geostationary Satellite View projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Azimuthal
+ - Spheroid
+ - Ellipsoid
+ \par Projection parameters
+ - h: Height (real)
+ - sweep: Sweep axis ('x' or 'y') (string)
+ \par Example
+ \image html ex_geos.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct geos_ellipsoid : public detail::geos::base_geos_ellipsoid<CalculationType, Parameters>
+ {
+ inline geos_ellipsoid(const Parameters& par) : detail::geos::base_geos_ellipsoid<CalculationType, Parameters>(par)
+ {
+ detail::geos::setup_geos(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ /*!
+ \brief Geostationary Satellite View projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Azimuthal
+ - Spheroid
+ - Ellipsoid
+ \par Projection parameters
+ - h: Height (real)
+ - sweep: Sweep axis ('x' or 'y') (string)
+ \par Example
+ \image html ex_geos.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct geos_spheroid : public detail::geos::base_geos_spheroid<CalculationType, Parameters>
+ {
+ inline geos_spheroid(const Parameters& par) : detail::geos::base_geos_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::geos::setup_geos(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::geos, geos_spheroid, geos_ellipsoid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class geos_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ if (par.es)
+ return new base_v_fi<geos_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ else
+ return new base_v_fi<geos_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void geos_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("geos", new geos_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_GEOS_HPP
+