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+#ifndef BOOST_GEOMETRY_PROJECTIONS_LABRD_HPP
+#define BOOST_GEOMETRY_PROJECTIONS_LABRD_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/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 labrd {};
+
+}} //namespace srs::par4
+
+namespace projections
+{
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail { namespace labrd
+ {
+ static const double EPS = 1.e-10;
+
+ template <typename T>
+ struct par_labrd
+ {
+ T Az, kRg, p0s, A, C, Ca, Cb, Cc, Cd;
+ int rot;
+ };
+
+ // template class, using CRTP to implement forward/inverse
+ template <typename CalculationType, typename Parameters>
+ struct base_labrd_ellipsoid : public base_t_fi<base_labrd_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>
+ {
+
+ typedef CalculationType geographic_type;
+ typedef CalculationType cartesian_type;
+
+ par_labrd<CalculationType> m_proj_parm;
+
+ inline base_labrd_ellipsoid(const Parameters& par)
+ : base_t_fi<base_labrd_ellipsoid<CalculationType, Parameters>,
+ CalculationType, Parameters>(*this, par) {}
+
+ // FORWARD(e_forward)
+ // 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 FORTPI = detail::FORTPI<CalculationType>();
+
+ CalculationType V1, V2, ps, sinps, cosps, sinps2, cosps2, I1, I2, I3, I4, I5, I6,
+ x2, y2, t;
+
+ V1 = this->m_proj_parm.A * log( tan(FORTPI + .5 * lp_lat) );
+ t = this->m_par.e * sin(lp_lat);
+ V2 = .5 * this->m_par.e * this->m_proj_parm.A * log ((1. + t)/(1. - t));
+ ps = 2. * (atan(exp(V1 - V2 + this->m_proj_parm.C)) - FORTPI);
+ I1 = ps - this->m_proj_parm.p0s;
+ cosps = cos(ps); cosps2 = cosps * cosps;
+ sinps = sin(ps); sinps2 = sinps * sinps;
+ I4 = this->m_proj_parm.A * cosps;
+ I2 = .5 * this->m_proj_parm.A * I4 * sinps;
+ I3 = I2 * this->m_proj_parm.A * this->m_proj_parm.A * (5. * cosps2 - sinps2) / 12.;
+ I6 = I4 * this->m_proj_parm.A * this->m_proj_parm.A;
+ I5 = I6 * (cosps2 - sinps2) / 6.;
+ I6 *= this->m_proj_parm.A * this->m_proj_parm.A *
+ (5. * cosps2 * cosps2 + sinps2 * (sinps2 - 18. * cosps2)) / 120.;
+ t = lp_lon * lp_lon;
+ xy_x = this->m_proj_parm.kRg * lp_lon * (I4 + t * (I5 + t * I6));
+ xy_y = this->m_proj_parm.kRg * (I1 + t * (I2 + t * I3));
+ x2 = xy_x * xy_x;
+ y2 = xy_y * xy_y;
+ V1 = 3. * xy_x * y2 - xy_x * x2;
+ V2 = xy_y * y2 - 3. * x2 * xy_y;
+ xy_x += this->m_proj_parm.Ca * V1 + this->m_proj_parm.Cb * V2;
+ xy_y += this->m_proj_parm.Ca * V2 - this->m_proj_parm.Cb * V1;
+ }
+
+ // INVERSE(e_inverse) ellipsoid & 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 FORTPI = detail::FORTPI<CalculationType>();
+
+ CalculationType x2, y2, V1, V2, V3, V4, t, t2, ps, pe, tpe, s,
+ I7, I8, I9, I10, I11, d, Re;
+ int i;
+
+ x2 = xy_x * xy_x;
+ y2 = xy_y * xy_y;
+ V1 = 3. * xy_x * y2 - xy_x * x2;
+ V2 = xy_y * y2 - 3. * x2 * xy_y;
+ V3 = xy_x * (5. * y2 * y2 + x2 * (-10. * y2 + x2 ));
+ V4 = xy_y * (5. * x2 * x2 + y2 * (-10. * x2 + y2 ));
+ xy_x += - this->m_proj_parm.Ca * V1 - this->m_proj_parm.Cb * V2 + this->m_proj_parm.Cc * V3 + this->m_proj_parm.Cd * V4;
+ xy_y += this->m_proj_parm.Cb * V1 - this->m_proj_parm.Ca * V2 - this->m_proj_parm.Cd * V3 + this->m_proj_parm.Cc * V4;
+ ps = this->m_proj_parm.p0s + xy_y / this->m_proj_parm.kRg;
+ pe = ps + this->m_par.phi0 - this->m_proj_parm.p0s;
+ for ( i = 20; i; --i) {
+ V1 = this->m_proj_parm.A * log(tan(FORTPI + .5 * pe));
+ tpe = this->m_par.e * sin(pe);
+ V2 = .5 * this->m_par.e * this->m_proj_parm.A * log((1. + tpe)/(1. - tpe));
+ t = ps - 2. * (atan(exp(V1 - V2 + this->m_proj_parm.C)) - FORTPI);
+ pe += t;
+ if (fabs(t) < EPS)
+ break;
+ }
+ /*
+ if (!i) {
+ } else {
+ }
+ */
+ t = this->m_par.e * sin(pe);
+ t = 1. - t * t;
+ Re = this->m_par.one_es / ( t * sqrt(t) );
+ t = tan(ps);
+ t2 = t * t;
+ s = this->m_proj_parm.kRg * this->m_proj_parm.kRg;
+ d = Re * this->m_par.k0 * this->m_proj_parm.kRg;
+ I7 = t / (2. * d);
+ I8 = t * (5. + 3. * t2) / (24. * d * s);
+ d = cos(ps) * this->m_proj_parm.kRg * this->m_proj_parm.A;
+ I9 = 1. / d;
+ d *= s;
+ I10 = (1. + 2. * t2) / (6. * d);
+ I11 = (5. + t2 * (28. + 24. * t2)) / (120. * d * s);
+ x2 = xy_x * xy_x;
+ lp_lat = pe + x2 * (-I7 + I8 * x2);
+ lp_lon = xy_x * (I9 + x2 * (-I10 + x2 * I11));
+ }
+
+ static inline std::string get_name()
+ {
+ return "labrd_ellipsoid";
+ }
+
+ };
+
+ // Laborde
+ template <typename Parameters, typename T>
+ inline void setup_labrd(Parameters& par, par_labrd<T>& proj_parm)
+ {
+ static const T FORTPI = detail::FORTPI<T>();
+
+ T Az, sinp, R, N, t;
+
+ proj_parm.rot = pj_param(par.params, "bno_rot").i == 0;
+ Az = pj_param(par.params, "razi").f;
+ sinp = sin(par.phi0);
+ t = 1. - par.es * sinp * sinp;
+ N = 1. / sqrt(t);
+ R = par.one_es * N / t;
+ proj_parm.kRg = par.k0 * sqrt( N * R );
+ proj_parm.p0s = atan( sqrt(R / N) * tan(par.phi0) );
+ proj_parm.A = sinp / sin(proj_parm.p0s);
+ t = par.e * sinp;
+ proj_parm.C = .5 * par.e * proj_parm.A * log((1. + t)/(1. - t)) +
+ - proj_parm.A * log( tan(FORTPI + .5 * par.phi0))
+ + log( tan(FORTPI + .5 * proj_parm.p0s));
+ t = Az + Az;
+ proj_parm.Ca = (1. - cos(t)) * ( proj_parm.Cb = 1. / (12. * proj_parm.kRg * proj_parm.kRg) );
+ proj_parm.Cb *= sin(t);
+ proj_parm.Cc = 3. * (proj_parm.Ca * proj_parm.Ca - proj_parm.Cb * proj_parm.Cb);
+ proj_parm.Cd = 6. * proj_parm.Ca * proj_parm.Cb;
+ }
+
+ }} // namespace detail::labrd
+ #endif // doxygen
+
+ /*!
+ \brief Laborde projection
+ \ingroup projections
+ \tparam Geographic latlong point type
+ \tparam Cartesian xy point type
+ \tparam Parameters parameter type
+ \par Projection characteristics
+ - Cylindrical
+ - Spheroid
+ - Special for Madagascar
+ \par Projection parameters
+ - no_rot: No rotation (boolean)
+ - azi: Azimuth (or Gamma) (degrees)
+ \par Example
+ \image html ex_labrd.gif
+ */
+ template <typename CalculationType, typename Parameters>
+ struct labrd_ellipsoid : public detail::labrd::base_labrd_ellipsoid<CalculationType, Parameters>
+ {
+ inline labrd_ellipsoid(const Parameters& par) : detail::labrd::base_labrd_ellipsoid<CalculationType, Parameters>(par)
+ {
+ detail::labrd::setup_labrd(this->m_par, this->m_proj_parm);
+ }
+ };
+
+ #ifndef DOXYGEN_NO_DETAIL
+ namespace detail
+ {
+
+ // Static projection
+ BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::labrd, labrd_ellipsoid, labrd_ellipsoid)
+
+ // Factory entry(s)
+ template <typename CalculationType, typename Parameters>
+ class labrd_entry : public detail::factory_entry<CalculationType, Parameters>
+ {
+ public :
+ virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
+ {
+ return new base_v_fi<labrd_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
+ }
+ };
+
+ template <typename CalculationType, typename Parameters>
+ inline void labrd_init(detail::base_factory<CalculationType, Parameters>& factory)
+ {
+ factory.add_to_factory("labrd", new labrd_entry<CalculationType, Parameters>);
+ }
+
+ } // namespace detail
+ #endif // doxygen
+
+} // namespace projections
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_PROJECTIONS_LABRD_HPP
+
generated by cgit v1.2.3 (git 2.25.1) at 2024-05-20 17:59:32 +0000