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+#ifndef BOOST_GEOMETRY_PROJECTIONS_ORTHO_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_ORTHO_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, 2018.
+// Modifications copyright (c) 2017-2018, 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/config.hpp>
+#include <boost/geometry/util/math.hpp>
+#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 ortho {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace ortho
+ {
+
+ static const double EPS10 = 1.e-10;
+ static const int N_POLE = 0;
+ static const int S_POLE = 1;
+ static const int EQUIT = 2;
+ static const int OBLIQ = 3;
+
+ template <typename T>
+ struct par_ortho
+ {
+ T sinph0;
+ T cosph0;
+ int mode;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_ortho_spheroid : public base_t_fi<base_ortho_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_ortho<CalculationType> m_proj_parm;
+
+ inline base_ortho_spheroid(const Parameters& par)
+ : base_t_fi<base_ortho_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 coslam, cosphi, sinphi;
+
+ cosphi = cos(lp_lat);
+ coslam = cos(lp_lon);
+ switch (this->m_proj_parm.mode) {
+ case EQUIT:
+ if (cosphi * coslam < - EPS10)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ xy_y = sin(lp_lat);
+ break;
+ case OBLIQ:
+ if (this->m_proj_parm.sinph0 * (sinphi = sin(lp_lat)) +
+ this->m_proj_parm.cosph0 * cosphi * coslam < - EPS10)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ xy_y = this->m_proj_parm.cosph0 * sinphi - this->m_proj_parm.sinph0 * cosphi * coslam;
+ break;
+ case N_POLE:
+ coslam = - coslam;
+ BOOST_FALLTHROUGH;
+ case S_POLE:
+ if (fabs(lp_lat - this->m_par.phi0) - EPS10 > HALFPI)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ xy_y = cosphi * coslam;
+ break;
+ }
+ xy_x = cosphi * sin(lp_lon);
+ }
+
+ // 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
+ {
+ static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
+
+ CalculationType rh, cosc, sinc;
+
+ if ((sinc = (rh = boost::math::hypot(xy_x, xy_y))) > 1.) {
+ if ((sinc - 1.) > EPS10)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ sinc = 1.;
+ }
+ cosc = sqrt(1. - sinc * sinc); /* in this range OK */
+ if (fabs(rh) <= EPS10) {
+ lp_lat = this->m_par.phi0;
+ lp_lon = 0.0;
+ } else {
+ switch (this->m_proj_parm.mode) {
+ case N_POLE:
+ xy_y = -xy_y;
+ lp_lat = acos(sinc);
+ break;
+ case S_POLE:
+ lp_lat = - acos(sinc);
+ break;
+ case EQUIT:
+ lp_lat = xy_y * sinc / rh;
+ xy_x *= sinc;
+ xy_y = cosc * rh;
+ goto sinchk;
+ case OBLIQ:
+ lp_lat = cosc * this->m_proj_parm.sinph0 + xy_y * sinc * this->m_proj_parm.cosph0 /rh;
+ xy_y = (cosc - this->m_proj_parm.sinph0 * lp_lat) * rh;
+ xy_x *= sinc * this->m_proj_parm.cosph0;
+ sinchk:
+ if (fabs(lp_lat) >= 1.)
+ lp_lat = lp_lat < 0. ? -HALFPI : HALFPI;
+ else
+ lp_lat = asin(lp_lat);
+ break;
+ }
+ lp_lon = (xy_y == 0. && (this->m_proj_parm.mode == OBLIQ || this->m_proj_parm.mode == EQUIT))
+ ? (xy_x == 0. ? 0. : xy_x < 0. ? -HALFPI : HALFPI)
+ : atan2(xy_x, xy_y);
+ }
+ }
+
+ static inline std::string get_name()
+ {
+ return "ortho_spheroid";
+ }
+
+ };
+
+ // Orthographic
+ template <typename Parameters, typename T>
+ inline void setup_ortho(Parameters& par, par_ortho<T>& proj_parm)
+ {
+ if (fabs(fabs(par.phi0) - geometry::math::half_pi<T>()) <= EPS10)
+ proj_parm.mode = par.phi0 < 0. ? S_POLE : N_POLE;
+ else if (fabs(par.phi0) > EPS10) {
+ proj_parm.mode = OBLIQ;
+ proj_parm.sinph0 = sin(par.phi0);
+ proj_parm.cosph0 = cos(par.phi0);
+ } else
+ proj_parm.mode = EQUIT;
+ par.es = 0.;
+ }
+
+ }} // namespace detail::ortho
+ #endif // doxygen
+
+ /*!
+ \brief Orthographic projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Azimuthal
+ - Spheroid
+ \par Example
+ \image html ex_ortho.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct ortho_spheroid : public detail::ortho::base_ortho_spheroid<CalculationType, Parameters>
+ {
+ inline ortho_spheroid(const Parameters& par) : detail::ortho::base_ortho_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::ortho::setup_ortho(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::ortho, ortho_spheroid, ortho_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class ortho_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<ortho_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void ortho_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("ortho", new ortho_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_ORTHO_HPP
+