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Diffstat (limited to 'boost/geometry/srs/projections/proj/natearth.hpp')
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diff --git a/boost/geometry/srs/projections/proj/natearth.hpp b/boost/geometry/srs/projections/proj/natearth.hpp new file mode 100644 index 0000000000..dcd259d9d1 --- /dev/null +++ b/boost/geometry/srs/projections/proj/natearth.hpp @@ -0,0 +1,228 @@ +#ifndef BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP +#define BOOST_GEOMETRY_PROJECTIONS_NATEARTH_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: + +// The Natural Earth projection was designed by Tom Patterson, US National Park +// Service, in 2007, using Flex Projector. The shape of the original projection +// was defined at every 5 degrees and piece-wise cubic spline interpolation was +// used to compute the complete graticule. +// The code here uses polynomial functions instead of cubic splines and +// is therefore much simpler to program. The polynomial approximation was +// developed by Bojan Savric, in collaboration with Tom Patterson and Bernhard +// Jenny, Institute of Cartography, ETH Zurich. It slightly deviates from +// Patterson's original projection by adding additional curvature to meridians +// where they meet the horizontal pole line. This improvement is by intention +// and designed in collaboration with Tom Patterson. +// Port to PROJ.4 by Bernhard Jenny, 6 June 2011 + +// 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 natearth {}; + +}} //namespace srs::par4 + +namespace projections +{ + #ifndef DOXYGEN_NO_DETAIL + namespace detail { namespace natearth + { + + static const double A0 = 0.8707; + static const double A1 = -0.131979; + static const double A2 = -0.013791; + static const double A3 = 0.003971; + static const double A4 = -0.001529; + static const double B0 = 1.007226; + static const double B1 = 0.015085; + static const double B2 = -0.044475; + static const double B3 = 0.028874; + static const double B4 = -0.005916; + static const double C0 = B0; + static const double C1 = (3 * B1); + static const double C2 = (7 * B2); + static const double C3 = (9 * B3); + static const double C4 = (11 * B4); + static const double EPS = 1e-11; + //static const double MAX_Y = (0.8707 * 0.52 * geometry::math::pi<double>()); + + template <typename T> + inline T MAX_Y() { return (0.8707 * 0.52 * detail::ONEPI<T>()); } + + // template class, using CRTP to implement forward/inverse + template <typename CalculationType, typename Parameters> + struct base_natearth_spheroid : public base_t_fi<base_natearth_spheroid<CalculationType, Parameters>, + CalculationType, Parameters> + { + + typedef CalculationType geographic_type; + typedef CalculationType cartesian_type; + + + inline base_natearth_spheroid(const Parameters& par) + : base_t_fi<base_natearth_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 phi2, phi4; + + phi2 = lp_lat * lp_lat; + phi4 = phi2 * phi2; + xy_x = lp_lon * (A0 + phi2 * (A1 + phi2 * (A2 + phi4 * phi2 * (A3 + phi2 * A4)))); + xy_y = lp_lat * (B0 + phi2 * (B1 + phi4 * (B2 + B3 * phi2 + B4 * phi4))); + } + + // 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 MAX_Y = natearth::MAX_Y<CalculationType>(); + + CalculationType yc, tol, y2, y4, f, fder; + + /* make sure y is inside valid range */ + if (xy_y > MAX_Y) { + xy_y = MAX_Y; + } else if (xy_y < -MAX_Y) { + xy_y = -MAX_Y; + } + + /* latitude */ + yc = xy_y; + for (;;) { /* Newton-Raphson */ + y2 = yc * yc; + y4 = y2 * y2; + f = (yc * (B0 + y2 * (B1 + y4 * (B2 + B3 * y2 + B4 * y4)))) - xy_y; + fder = C0 + y2 * (C1 + y4 * (C2 + C3 * y2 + C4 * y4)); + yc -= tol = f / fder; + if (fabs(tol) < EPS) { + break; + } + } + lp_lat = yc; + + /* longitude */ + y2 = yc * yc; + lp_lon = xy_x / (A0 + y2 * (A1 + y2 * (A2 + y2 * y2 * y2 * (A3 + y2 * A4)))); + } + + static inline std::string get_name() + { + return "natearth_spheroid"; + } + + }; + + // Natural Earth + template <typename Parameters> + inline void setup_natearth(Parameters& par) + { + par.es = 0; + } + + }} // namespace detail::natearth + #endif // doxygen + + /*! + \brief Natural Earth projection + \ingroup projections + \tparam Geographic latlong point type + \tparam Cartesian xy point type + \tparam Parameters parameter type + \par Projection characteristics + - Pseudocylindrical + - Spheroid + \par Example + \image html ex_natearth.gif + */ + template <typename CalculationType, typename Parameters> + struct natearth_spheroid : public detail::natearth::base_natearth_spheroid<CalculationType, Parameters> + { + inline natearth_spheroid(const Parameters& par) : detail::natearth::base_natearth_spheroid<CalculationType, Parameters>(par) + { + detail::natearth::setup_natearth(this->m_par); + } + }; + + #ifndef DOXYGEN_NO_DETAIL + namespace detail + { + + // Static projection + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::natearth, natearth_spheroid, natearth_spheroid) + + // Factory entry(s) + template <typename CalculationType, typename Parameters> + class natearth_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<natearth_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + inline void natearth_init(detail::base_factory<CalculationType, Parameters>& factory) + { + factory.add_to_factory("natearth", new natearth_entry<CalculationType, Parameters>); + } + + } // namespace detail + #endif // doxygen + +} // namespace projections + +}} // namespace boost::geometry + +#endif // BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP + |