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// 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_WINK2_HPP
#define BOOST_GEOMETRY_PROJECTIONS_WINK2_HPP
#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/factory_entry.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace wink2
{
static const int max_iter = 10;
static const double loop_tol = 1e-7;
template <typename T>
struct par_wink2
{
T cosphi1;
};
template <typename T, typename Parameters>
struct base_wink2_spheroid
{
par_wink2<T> m_proj_parm;
// 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
{
static const T pi = detail::pi<T>();
static const T half_pi = detail::half_pi<T>();
static const T fourth_pi = detail::fourth_pi<T>();
static const T two_div_pi = detail::two_div_pi<T>();
T k, V;
int i;
xy_y = lp_lat * two_div_pi;
k = pi * sin(lp_lat);
lp_lat *= 1.8;
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;
}
if (!i)
lp_lat = (lp_lat < 0.) ? -half_pi : half_pi;
else
lp_lat *= 0.5;
xy_x = 0.5 * lp_lon * (cos(lp_lat) + this->m_proj_parm.cosphi1);
xy_y = fourth_pi * (sin(lp_lat) + xy_y);
}
static inline std::string get_name()
{
return "wink2_spheroid";
}
};
// Winkel II
template <typename Params, typename Parameters, typename T>
inline void setup_wink2(Params const& params, Parameters& par, par_wink2<T>& proj_parm)
{
proj_parm.cosphi1 = cos(pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1));
par.es = 0.;
}
}} // namespace detail::wink2
#endif // doxygen
/*!
\brief Winkel II projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Pseudocylindrical
- Spheroid
- no inverse
\par Projection parameters
- lat_1: Latitude of first standard parallel (degrees)
\par Example
\image html ex_wink2.gif
*/
template <typename T, typename Parameters>
struct wink2_spheroid : public detail::wink2::base_wink2_spheroid<T, Parameters>
{
template <typename Params>
inline wink2_spheroid(Params const& params, Parameters & par)
{
detail::wink2::setup_wink2(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_wink2, wink2_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(wink2_entry, wink2_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(wink2_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(wink2, wink2_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_WINK2_HPP
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