// 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:
// Copyright (c) 2003 Gerald I. Evenden
// 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_STEREA_HPP
#define BOOST_GEOMETRY_PROJECTIONS_STEREA_HPP
#include <boost/math/special_functions/hypot.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/pj_gauss.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace sterea
{
template <typename T>
struct par_sterea
{
T phic0;
T cosc0, sinc0;
T R2;
gauss<T> en;
};
template <typename T, typename Parameters>
struct base_sterea_ellipsoid
{
par_sterea<T> m_proj_parm;
// FORWARD(e_forward) ellipsoid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& par, T lp_lon, T lp_lat, T& xy_x, T& xy_y) const
{
T cosc, sinc, cosl_, k;
detail::gauss_fwd(m_proj_parm.en, lp_lon, lp_lat);
sinc = sin(lp_lat);
cosc = cos(lp_lat);
cosl_ = cos(lp_lon);
k = par.k0 * this->m_proj_parm.R2 / (1. + this->m_proj_parm.sinc0 * sinc + this->m_proj_parm.cosc0 * cosc * cosl_);
xy_x = k * cosc * sin(lp_lon);
xy_y = k * (this->m_proj_parm.cosc0 * sinc - this->m_proj_parm.sinc0 * cosc * cosl_);
}
// INVERSE(e_inverse) ellipsoid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
{
T rho, c, sinc, cosc;
xy_x /= par.k0;
xy_y /= par.k0;
if((rho = boost::math::hypot(xy_x, xy_y)) != 0.0) {
c = 2. * atan2(rho, this->m_proj_parm.R2);
sinc = sin(c);
cosc = cos(c);
lp_lat = asin(cosc * this->m_proj_parm.sinc0 + xy_y * sinc * this->m_proj_parm.cosc0 / rho);
lp_lon = atan2(xy_x * sinc, rho * this->m_proj_parm.cosc0 * cosc -
xy_y * this->m_proj_parm.sinc0 * sinc);
} else {
lp_lat = this->m_proj_parm.phic0;
lp_lon = 0.;
}
detail::gauss_inv(m_proj_parm.en, lp_lon, lp_lat);
}
static inline std::string get_name()
{
return "sterea_ellipsoid";
}
};
// Oblique Stereographic Alternative
template <typename Parameters, typename T>
inline void setup_sterea(Parameters const& par, par_sterea<T>& proj_parm)
{
T R;
proj_parm.en = detail::gauss_ini(par.e, par.phi0, proj_parm.phic0, R);
proj_parm.sinc0 = sin(proj_parm.phic0);
proj_parm.cosc0 = cos(proj_parm.phic0);
proj_parm.R2 = 2. * R;
}
}} // namespace detail::sterea
#endif // doxygen
/*!
\brief Oblique Stereographic Alternative projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Azimuthal
- Spheroid
- Ellipsoid
\par Example
\image html ex_sterea.gif
*/
template <typename T, typename Parameters>
struct sterea_ellipsoid : public detail::sterea::base_sterea_ellipsoid<T, Parameters>
{
template <typename Params>
inline sterea_ellipsoid(Params const& , Parameters const& par)
{
detail::sterea::setup_sterea(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_sterea, sterea_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(sterea_entry, sterea_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(sterea_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(sterea, sterea_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_STEREA_HPP