168 lines
6.1 KiB
C++
168 lines
6.1 KiB
C++
// 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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#ifndef BOOST_GEOMETRY_PROJECTIONS_VANDG4_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_VANDG4_HPP
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#include <boost/geometry/util/math.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 vandg4
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{
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static const double tolerance = 1e-10;
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template <typename T, typename Parameters>
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struct base_vandg4_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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static const T half_pi = detail::half_pi<T>();
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static const T two_div_pi = detail::two_div_pi<T>();
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T x1, t, bt, ct, ft, bt2, ct2, dt, dt2;
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if (fabs(lp_lat) < tolerance) {
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xy_x = lp_lon;
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xy_y = 0.;
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} else if (fabs(lp_lon) < tolerance || fabs(fabs(lp_lat) - half_pi) < tolerance) {
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xy_x = 0.;
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xy_y = lp_lat;
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} else {
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bt = fabs(two_div_pi * lp_lat);
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bt2 = bt * bt;
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ct = 0.5 * (bt * (8. - bt * (2. + bt2)) - 5.)
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/ (bt2 * (bt - 1.));
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ct2 = ct * ct;
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dt = two_div_pi * lp_lon;
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dt = dt + 1. / dt;
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dt = sqrt(dt * dt - 4.);
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if ((fabs(lp_lon) - half_pi) < 0.) dt = -dt;
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dt2 = dt * dt;
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x1 = bt + ct; x1 *= x1;
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t = bt + 3.*ct;
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ft = x1 * (bt2 + ct2 * dt2 - 1.) + (1.-bt2) * (
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bt2 * (t * t + 4. * ct2) +
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ct2 * (12. * bt * ct + 4. * ct2) );
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x1 = (dt*(x1 + ct2 - 1.) + 2.*sqrt(ft)) /
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(4.* x1 + dt2);
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xy_x = half_pi * x1;
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xy_y = half_pi * sqrt(1. + dt * fabs(x1) - x1 * x1);
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if (lp_lon < 0.) xy_x = -xy_x;
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if (lp_lat < 0.) xy_y = -xy_y;
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}
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}
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static inline std::string get_name()
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{
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return "vandg4_spheroid";
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}
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};
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// van der Grinten IV
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template <typename Parameters>
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inline void setup_vandg4(Parameters& par)
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{
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par.es = 0.;
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}
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}} // namespace detail::vandg4
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#endif // doxygen
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/*!
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\brief van der Grinten IV 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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- Miscellaneous
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- Spheroid
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- no inverse
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\par Example
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\image html ex_vandg4.gif
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*/
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template <typename T, typename Parameters>
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struct vandg4_spheroid : public detail::vandg4::base_vandg4_spheroid<T, Parameters>
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{
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template <typename Params>
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inline vandg4_spheroid(Params const& , Parameters & par)
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{
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detail::vandg4::setup_vandg4(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_F(srs::spar::proj_vandg4, vandg4_spheroid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(vandg4_entry, vandg4_spheroid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(vandg4_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vandg4, vandg4_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_VANDG4_HPP
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