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+#ifndef BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_NSPER_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 nsper {};
+ struct tpers {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace nsper
+ {
+
+ 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_nsper
+ {
+ T height;
+ T sinph0;
+ T cosph0;
+ T p;
+ T rp;
+ T pn1;
+ T pfact;
+ T h;
+ T cg;
+ T sg;
+ T sw;
+ T cw;
+ int mode;
+ int tilt;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_nsper_spheroid : public base_t_fi<base_nsper_spheroid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_nsper<CalculationType> m_proj_parm;
+
+ inline base_nsper_spheroid(const Parameters& par)
+ : base_t_fi<base_nsper_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 coslam, cosphi, sinphi;
+
+ sinphi = sin(lp_lat);
+ cosphi = cos(lp_lat);
+ coslam = cos(lp_lon);
+ switch (this->m_proj_parm.mode) {
+ case OBLIQ:
+ xy_y = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosphi * coslam;
+ break;
+ case EQUIT:
+ xy_y = cosphi * coslam;
+ break;
+ case S_POLE:
+ xy_y = - sinphi;
+ break;
+ case N_POLE:
+ xy_y = sinphi;
+ break;
+ }
+ if (xy_y < this->m_proj_parm.rp)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ xy_y = this->m_proj_parm.pn1 / (this->m_proj_parm.p - xy_y);
+ xy_x = xy_y * cosphi * sin(lp_lon);
+ switch (this->m_proj_parm.mode) {
+ case OBLIQ:
+ xy_y *= (this->m_proj_parm.cosph0 * sinphi -
+ this->m_proj_parm.sinph0 * cosphi * coslam);
+ break;
+ case EQUIT:
+ xy_y *= sinphi;
+ break;
+ case N_POLE:
+ coslam = - coslam;
+ BOOST_FALLTHROUGH;
+ case S_POLE:
+ xy_y *= cosphi * coslam;
+ break;
+ }
+ if (this->m_proj_parm.tilt) {
+ CalculationType yt, ba;
+
+ yt = xy_y * this->m_proj_parm.cg + xy_x * this->m_proj_parm.sg;
+ ba = 1. / (yt * this->m_proj_parm.sw * this->m_proj_parm.h + this->m_proj_parm.cw);
+ xy_x = (xy_x * this->m_proj_parm.cg - xy_y * this->m_proj_parm.sg) * this->m_proj_parm.cw * ba;
+ xy_y = yt * ba;
+ }
+ }
+
+ // 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 rh, cosz, sinz;
+
+ if (this->m_proj_parm.tilt) {
+ CalculationType bm, bq, yt;
+
+ yt = 1./(this->m_proj_parm.pn1 - xy_y * this->m_proj_parm.sw);
+ bm = this->m_proj_parm.pn1 * xy_x * yt;
+ bq = this->m_proj_parm.pn1 * xy_y * this->m_proj_parm.cw * yt;
+ xy_x = bm * this->m_proj_parm.cg + bq * this->m_proj_parm.sg;
+ xy_y = bq * this->m_proj_parm.cg - bm * this->m_proj_parm.sg;
+ }
+ rh = boost::math::hypot(xy_x, xy_y);
+ if ((sinz = 1. - rh * rh * this->m_proj_parm.pfact) < 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-20) );
+ sinz = (this->m_proj_parm.p - sqrt(sinz)) / (this->m_proj_parm.pn1 / rh + rh / this->m_proj_parm.pn1);
+ cosz = sqrt(1. - sinz * sinz);
+ if (fabs(rh) <= EPS10) {
+ lp_lon = 0.;
+ lp_lat = this->m_par.phi0;
+ } else {
+ switch (this->m_proj_parm.mode) {
+ case OBLIQ:
+ lp_lat = asin(cosz * this->m_proj_parm.sinph0 + xy_y * sinz * this->m_proj_parm.cosph0 / rh);
+ xy_y = (cosz - this->m_proj_parm.sinph0 * sin(lp_lat)) * rh;
+ xy_x *= sinz * this->m_proj_parm.cosph0;
+ break;
+ case EQUIT:
+ lp_lat = asin(xy_y * sinz / rh);
+ xy_y = cosz * rh;
+ xy_x *= sinz;
+ break;
+ case N_POLE:
+ lp_lat = asin(cosz);
+ xy_y = -xy_y;
+ break;
+ case S_POLE:
+ lp_lat = - asin(cosz);
+ break;
+ }
+ lp_lon = atan2(xy_x, xy_y);
+ }
+ }
+
+ static inline std::string get_name()
+ {
+ return "nsper_spheroid";
+ }
+
+ };
+
+ template <typename Parameters, typename T>
+ inline void setup(Parameters& par, par_nsper<T>& proj_parm)
+ {
+ if ((proj_parm.height = pj_param(par.params, "dh").f) <= 0.)
+ BOOST_THROW_EXCEPTION( projection_exception(-30) );
+ 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 = EQUIT;
+ else {
+ proj_parm.mode = OBLIQ;
+ proj_parm.sinph0 = sin(par.phi0);
+ proj_parm.cosph0 = cos(par.phi0);
+ }
+ proj_parm.pn1 = proj_parm.height / par.a; /* normalize by radius */
+ proj_parm.p = 1. + proj_parm.pn1;
+ proj_parm.rp = 1. / proj_parm.p;
+ proj_parm.h = 1. / proj_parm.pn1;
+ proj_parm.pfact = (proj_parm.p + 1.) * proj_parm.h;
+ par.es = 0.;
+ }
+
+
+ // Near-sided perspective
+ template <typename Parameters, typename T>
+ inline void setup_nsper(Parameters& par, par_nsper<T>& proj_parm)
+ {
+ proj_parm.tilt = 0;
+ setup(par, proj_parm);
+ }
+
+ // Tilted perspective
+ template <typename Parameters, typename T>
+ inline void setup_tpers(Parameters& par, par_nsper<T>& proj_parm)
+ {
+ T omega, gamma;
+
+ omega = pj_param(par.params, "dtilt").f * geometry::math::d2r<T>();
+ gamma = pj_param(par.params, "dazi").f * geometry::math::d2r<T>();
+ proj_parm.tilt = 1;
+ proj_parm.cg = cos(gamma); proj_parm.sg = sin(gamma);
+ proj_parm.cw = cos(omega); proj_parm.sw = sin(omega);
+ setup(par, proj_parm);
+ }
+
+ }} // namespace detail::nsper
+ #endif // doxygen
+
+ /*!
+ \brief Near-sided perspective projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Azimuthal
+ - Spheroid
+ \par Projection parameters
+ - h: Height
+ \par Example
+ \image html ex_nsper.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct nsper_spheroid : public detail::nsper::base_nsper_spheroid<CalculationType, Parameters>
+ {
+ inline nsper_spheroid(const Parameters& par) : detail::nsper::base_nsper_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::nsper::setup_nsper(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ /*!
+ \brief Tilted perspective projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Azimuthal
+ - Spheroid
+ \par Projection parameters
+ - tilt: Tilt, or Omega (real)
+ - azi: Azimuth (or Gamma) (real)
+ - h: Height
+ \par Example
+ \image html ex_tpers.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct tpers_spheroid : public detail::nsper::base_nsper_spheroid<CalculationType, Parameters>
+ {
+ inline tpers_spheroid(const Parameters& par) : detail::nsper::base_nsper_spheroid<CalculationType, Parameters>(par)
+ {
+ detail::nsper::setup_tpers(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::nsper, nsper_spheroid, nsper_spheroid)
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::tpers, tpers_spheroid, tpers_spheroid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class nsper_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<nsper_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ class tpers_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<tpers_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void nsper_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("nsper", new nsper_entry<CalculationType, Parameters>);
+ factory.add_to_factory("tpers", new tpers_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
+