155 lines
5.4 KiB
C++
155 lines
5.4 KiB
C++
// Boost.Geometry - gis-projections (based on PROJ4)
|
|
|
|
// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
|
|
|
|
// This file was modified by Oracle on 2017, 2018, 2019.
|
|
// Modifications copyright (c) 2017-2019, 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: 5.0.0
|
|
|
|
// 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.
|
|
|
|
#ifndef BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
|
|
#define BOOST_GEOMETRY_PROJECTIONS_NELL_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>
|
|
#include <boost/geometry/srs/projections/impl/aasincos.hpp>
|
|
|
|
namespace boost { namespace geometry
|
|
{
|
|
|
|
namespace projections
|
|
{
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail { namespace nell
|
|
{
|
|
|
|
static const int max_iter = 10;
|
|
static const double loop_tol = 1e-7;
|
|
|
|
template <typename T, typename Parameters>
|
|
struct base_nell_spheroid
|
|
{
|
|
// FORWARD(s_forward) spheroid
|
|
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
|
|
inline void fwd(Parameters const& , T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
|
|
{
|
|
T k, V;
|
|
int i;
|
|
|
|
k = 2. * sin(lp_lat);
|
|
V = lp_lat * lp_lat;
|
|
lp_lat *= 1.00371 + V * (-0.0935382 + V * -0.011412);
|
|
for (i = max_iter; i ; --i) {
|
|
lp_lat -= V = (lp_lat + sin(lp_lat) - k) /
|
|
(1. + cos(lp_lat));
|
|
if (fabs(V) < loop_tol)
|
|
break;
|
|
}
|
|
xy_x = 0.5 * lp_lon * (1. + cos(lp_lat));
|
|
xy_y = lp_lat;
|
|
}
|
|
|
|
// INVERSE(s_inverse) spheroid
|
|
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
|
|
inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
|
|
{
|
|
lp_lon = 2. * xy_x / (1. + cos(xy_y));
|
|
lp_lat = aasin(0.5 * (xy_y + sin(xy_y)));
|
|
}
|
|
|
|
static inline std::string get_name()
|
|
{
|
|
return "nell_spheroid";
|
|
}
|
|
|
|
};
|
|
|
|
// Nell
|
|
template <typename Parameters>
|
|
inline void setup_nell(Parameters& par)
|
|
{
|
|
par.es = 0;
|
|
}
|
|
|
|
}} // namespace detail::nell
|
|
#endif // doxygen
|
|
|
|
/*!
|
|
\brief Nell 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_nell.gif
|
|
*/
|
|
template <typename T, typename Parameters>
|
|
struct nell_spheroid : public detail::nell::base_nell_spheroid<T, Parameters>
|
|
{
|
|
template <typename Params>
|
|
inline nell_spheroid(Params const& , Parameters & par)
|
|
{
|
|
detail::nell::setup_nell(par);
|
|
}
|
|
};
|
|
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail
|
|
{
|
|
|
|
// Static projection
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nell, nell_spheroid)
|
|
|
|
// Factory entry(s)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nell_entry, nell_spheroid)
|
|
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nell_init)
|
|
{
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nell, nell_entry)
|
|
}
|
|
|
|
} // namespace detail
|
|
#endif // doxygen
|
|
|
|
} // namespace projections
|
|
|
|
}} // namespace boost::geometry
|
|
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_NELL_HPP
|
|
|