208 lines
8.0 KiB
C++
208 lines
8.0 KiB
C++
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// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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// The Natural Earth projection was designed by Tom Patterson, US National Park
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// Service, in 2007, using Flex Projector. The shape of the original projection
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// was defined at every 5 degrees and piece-wise cubic spline interpolation was
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// used to compute the complete graticule.
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// The code here uses polynomial functions instead of cubic splines and
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// is therefore much simpler to program. The polynomial approximation was
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// developed by Bojan Savric, in collaboration with Tom Patterson and Bernhard
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// Jenny, Institute of Cartography, ETH Zurich. It slightly deviates from
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// Patterson's original projection by adding additional curvature to meridians
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// where they meet the horizontal pole line. This improvement is by intention
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// and designed in collaboration with Tom Patterson.
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// Port to PROJ.4 by Bernhard Jenny, 6 June 2011
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#ifndef BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace natearth
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{
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static const double A0 = 0.8707;
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static const double A1 = -0.131979;
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static const double A2 = -0.013791;
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static const double A3 = 0.003971;
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static const double A4 = -0.001529;
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static const double B0 = 1.007226;
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static const double B1 = 0.015085;
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static const double B2 = -0.044475;
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static const double B3 = 0.028874;
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static const double B4 = -0.005916;
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static const double C0 = B0;
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static const double C1 = (3 * B1);
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static const double C2 = (7 * B2);
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static const double C3 = (9 * B3);
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static const double C4 = (11 * B4);
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static const double epsilon = 1e-11;
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template <typename T>
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inline T max_y() { return (0.8707 * 0.52 * detail::pi<T>()); }
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/* Not sure at all of the appropriate number for max_iter... */
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static const int max_iter = 100;
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template <typename T, typename Parameters>
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struct base_natearth_spheroid
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{
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// FORWARD(s_forward) spheroid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
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{
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T phi2, phi4;
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phi2 = lp_lat * lp_lat;
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phi4 = phi2 * phi2;
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xy_x = lp_lon * (A0 + phi2 * (A1 + phi2 * (A2 + phi4 * phi2 * (A3 + phi2 * A4))));
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xy_y = lp_lat * (B0 + phi2 * (B1 + phi4 * (B2 + B3 * phi2 + B4 * phi4)));
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}
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// INVERSE(s_inverse) spheroid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T max_y = natearth::max_y<T>();
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T yc, tol, y2, y4, f, fder;
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int i;
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/* make sure y is inside valid range */
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if (xy_y > max_y) {
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xy_y = max_y;
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} else if (xy_y < -max_y) {
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xy_y = -max_y;
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}
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/* latitude */
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yc = xy_y;
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for (i = max_iter; i ; --i) { /* Newton-Raphson */
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y2 = yc * yc;
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y4 = y2 * y2;
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f = (yc * (B0 + y2 * (B1 + y4 * (B2 + B3 * y2 + B4 * y4)))) - xy_y;
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fder = C0 + y2 * (C1 + y4 * (C2 + C3 * y2 + C4 * y4));
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yc -= tol = f / fder;
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if (fabs(tol) < epsilon) {
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break;
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}
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}
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if( i == 0 )
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BOOST_THROW_EXCEPTION( projection_exception(error_non_convergent) );
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lp_lat = yc;
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/* longitude */
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y2 = yc * yc;
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lp_lon = xy_x / (A0 + y2 * (A1 + y2 * (A2 + y2 * y2 * y2 * (A3 + y2 * A4))));
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}
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static inline std::string get_name()
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{
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return "natearth_spheroid";
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}
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};
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// Natural Earth
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template <typename Parameters>
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inline void setup_natearth(Parameters& par)
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{
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par.es = 0;
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}
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}} // namespace detail::natearth
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#endif // doxygen
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/*!
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\brief Natural Earth projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Pseudocylindrical
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- Spheroid
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\par Example
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\image html ex_natearth.gif
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*/
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template <typename T, typename Parameters>
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struct natearth_spheroid : public detail::natearth::base_natearth_spheroid<T, Parameters>
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{
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template <typename Params>
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inline natearth_spheroid(Params const& , Parameters & par)
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{
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detail::natearth::setup_natearth(par);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_natearth, natearth_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(natearth_entry, natearth_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(natearth_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(natearth, natearth_entry)
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_NATEARTH_HPP
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