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Diffstat (limited to 'boost/geometry/srs/projections/proj/vandg.hpp')
| -rw-r--r-- | boost/geometry/srs/projections/proj/vandg.hpp | 257 |
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diff --git a/boost/geometry/srs/projections/proj/vandg.hpp b/boost/geometry/srs/projections/proj/vandg.hpp new file mode 100644 index 0000000000..1fd95285ea --- /dev/null +++ b/boost/geometry/srs/projections/proj/vandg.hpp @@ -0,0 +1,257 @@ +#ifndef BOOST_GEOMETRY_PROJECTIONS_VANDG_HPP +#define BOOST_GEOMETRY_PROJECTIONS_VANDG_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 vandg {}; + +}} //namespace srs::par4 + +namespace projections +{ + #ifndef DOXYGEN_NO_DETAIL + namespace detail { namespace vandg + { + + static const double TOL = 1.e-10; + //static const double THIRD = .33333333333333333333; + //static const double TWO_THRD = .66666666666666666666; + //static const double C2_27 = .07407407407407407407; + //static const double PI4_3 = 4.18879020478639098458; + //static const double PISQ = 9.86960440108935861869; + //static const double TPISQ = 19.73920880217871723738; + //static const double HPISQ = 4.93480220054467930934; + + template <typename T> + inline T C2_27() { return .07407407407407407407407407407407; } + template <typename T> + inline T PI4_3() { return boost::math::constants::four_thirds_pi<T>(); } + template <typename T> + inline T TPISQ() { return 19.739208802178717237668981999752; } + template <typename T> + inline T HPISQ() { return 4.9348022005446793094172454999381; } + + // template class, using CRTP to implement forward/inverse + template <typename CalculationType, typename Parameters> + struct base_vandg_spheroid : public base_t_fi<base_vandg_spheroid<CalculationType, Parameters>, + CalculationType, Parameters> + { + + typedef CalculationType geographic_type; + typedef CalculationType cartesian_type; + + + inline base_vandg_spheroid(const Parameters& par) + : base_t_fi<base_vandg_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>(); + static const CalculationType ONEPI = detail::ONEPI<CalculationType>(); + + CalculationType al, al2, g, g2, p2; + + p2 = fabs(lp_lat / HALFPI); + if ((p2 - TOL) > 1.) + BOOST_THROW_EXCEPTION( projection_exception(-20) ); + if (p2 > 1.) + p2 = 1.; + if (fabs(lp_lat) <= TOL) { + xy_x = lp_lon; + xy_y = 0.; + } else if (fabs(lp_lon) <= TOL || fabs(p2 - 1.) < TOL) { + xy_x = 0.; + xy_y = ONEPI * tan(.5 * asin(p2)); + if (lp_lat < 0.) xy_y = -xy_y; + } else { + al = .5 * fabs(ONEPI / lp_lon - lp_lon / ONEPI); + al2 = al * al; + g = sqrt(1. - p2 * p2); + g = g / (p2 + g - 1.); + g2 = g * g; + p2 = g * (2. / p2 - 1.); + p2 = p2 * p2; + xy_x = g - p2; g = p2 + al2; + xy_x = ONEPI * (al * xy_x + sqrt(al2 * xy_x * xy_x - g * (g2 - p2))) / g; + if (lp_lon < 0.) xy_x = -xy_x; + xy_y = fabs(xy_x / ONEPI); + xy_y = 1. - xy_y * (xy_y + 2. * al); + if (xy_y < -TOL) + BOOST_THROW_EXCEPTION( projection_exception(-20) ); + if (xy_y < 0.) + xy_y = 0.; + else + xy_y = sqrt(xy_y) * (lp_lat < 0. ? -ONEPI : ONEPI); + } + } + + // 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>(); + static const CalculationType ONEPI = detail::ONEPI<CalculationType>(); + static const CalculationType PISQ = detail::PI_SQR<CalculationType>(); + static const CalculationType THIRD = detail::THIRD<CalculationType>(); + static const CalculationType TWOPI = detail::TWOPI<CalculationType>(); + + static const CalculationType C2_27 = vandg::C2_27<CalculationType>(); + static const CalculationType PI4_3 = vandg::PI4_3<CalculationType>(); + static const CalculationType TPISQ = vandg::TPISQ<CalculationType>(); + static const CalculationType HPISQ = vandg::HPISQ<CalculationType>(); + + CalculationType t, c0, c1, c2, c3, al, r2, r, m, d, ay, x2, y2; + + x2 = xy_x * xy_x; + if ((ay = fabs(xy_y)) < TOL) { + lp_lat = 0.; + t = x2 * x2 + TPISQ * (x2 + HPISQ); + lp_lon = fabs(xy_x) <= TOL ? 0. : + .5 * (x2 - PISQ + sqrt(t)) / xy_x; + return; + } + y2 = xy_y * xy_y; + r = x2 + y2; r2 = r * r; + c1 = - ONEPI * ay * (r + PISQ); + c3 = r2 + TWOPI * (ay * r + ONEPI * (y2 + ONEPI * (ay + HALFPI))); + c2 = c1 + PISQ * (r - 3. * y2); + c0 = ONEPI * ay; + c2 /= c3; + al = c1 / c3 - THIRD * c2 * c2; + m = 2. * sqrt(-THIRD * al); + d = C2_27 * c2 * c2 * c2 + (c0 * c0 - THIRD * c2 * c1) / c3; + if (((t = fabs(d = 3. * d / (al * m))) - TOL) <= 1.) { + d = t > 1. ? (d > 0. ? 0. : ONEPI) : acos(d); + lp_lat = ONEPI * (m * cos(d * THIRD + PI4_3) - THIRD * c2); + if (xy_y < 0.) lp_lat = -lp_lat; + t = r2 + TPISQ * (x2 - y2 + HPISQ); + lp_lon = fabs(xy_x) <= TOL ? 0. : + .5 * (r - PISQ + (t <= 0. ? 0. : sqrt(t))) / xy_x; + } else + BOOST_THROW_EXCEPTION( projection_exception(-20) ); + } + + static inline std::string get_name() + { + return "vandg_spheroid"; + } + + }; + + // van der Grinten (I) + template <typename Parameters> + inline void setup_vandg(Parameters& par) + { + par.es = 0.; + } + + }} // namespace detail::vandg + #endif // doxygen + + /*! + \brief van der Grinten (I) projection + \ingroup projections + \tparam Geographic latlong point type + \tparam Cartesian xy point type + \tparam Parameters parameter type + \par Projection characteristics + - Miscellaneous + - Spheroid + \par Example + \image html ex_vandg.gif + */ + template <typename CalculationType, typename Parameters> + struct vandg_spheroid : public detail::vandg::base_vandg_spheroid<CalculationType, Parameters> + { + inline vandg_spheroid(const Parameters& par) : detail::vandg::base_vandg_spheroid<CalculationType, Parameters>(par) + { + detail::vandg::setup_vandg(this->m_par); + } + }; + + #ifndef DOXYGEN_NO_DETAIL + namespace detail + { + + // Static projection + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::vandg, vandg_spheroid, vandg_spheroid) + + // Factory entry(s) + template <typename CalculationType, typename Parameters> + class vandg_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<vandg_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + inline void vandg_init(detail::base_factory<CalculationType, Parameters>& factory) + { + factory.add_to_factory("vandg", new vandg_entry<CalculationType, Parameters>); + } + + } // namespace detail + #endif // doxygen + +} // namespace projections + +}} // namespace boost::geometry + +#endif // BOOST_GEOMETRY_PROJECTIONS_VANDG_HPP + |