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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_OEA_HPP
#define BOOST_GEOMETRY_PROJECTIONS_OEA_HPP
#include <boost/math/special_functions/hypot.hpp>
#include <boost/geometry/srs/projections/impl/aasincos.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 oea
{
template <typename T>
struct par_oea
{
T theta;
T m, n;
T two_r_m, two_r_n, rm, rn, hm, hn;
T cp0, sp0;
};
template <typename T, typename Parameters>
struct base_oea_spheroid
{
par_oea<T> m_proj_parm;
// FORWARD(s_forward) sphere
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T Az, M, N, cp, sp, cl, shz;
cp = cos(lp_lat);
sp = sin(lp_lat);
cl = cos(lp_lon);
Az = aatan2(cp * sin(lp_lon), this->m_proj_parm.cp0 * sp - this->m_proj_parm.sp0 * cp * cl) + this->m_proj_parm.theta;
shz = sin(0.5 * aacos(this->m_proj_parm.sp0 * sp + this->m_proj_parm.cp0 * cp * cl));
M = aasin(shz * sin(Az));
N = aasin(shz * cos(Az) * cos(M) / cos(M * this->m_proj_parm.two_r_m));
xy_y = this->m_proj_parm.n * sin(N * this->m_proj_parm.two_r_n);
xy_x = this->m_proj_parm.m * sin(M * this->m_proj_parm.two_r_m) * cos(N) / cos(N * this->m_proj_parm.two_r_n);
}
// INVERSE(s_inverse) sphere
// 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
{
T N, M, xp, yp, z, Az, cz, sz, cAz;
N = this->m_proj_parm.hn * aasin(xy_y * this->m_proj_parm.rn);
M = this->m_proj_parm.hm * aasin(xy_x * this->m_proj_parm.rm * cos(N * this->m_proj_parm.two_r_n) / cos(N));
xp = 2. * sin(M);
yp = 2. * sin(N) * cos(M * this->m_proj_parm.two_r_m) / cos(M);
cAz = cos(Az = aatan2(xp, yp) - this->m_proj_parm.theta);
z = 2. * aasin(0.5 * boost::math::hypot(xp, yp));
sz = sin(z);
cz = cos(z);
lp_lat = aasin(this->m_proj_parm.sp0 * cz + this->m_proj_parm.cp0 * sz * cAz);
lp_lon = aatan2(sz * sin(Az),
this->m_proj_parm.cp0 * cz - this->m_proj_parm.sp0 * sz * cAz);
}
static inline std::string get_name()
{
return "oea_spheroid";
}
};
// Oblated Equal Area
template <typename Params, typename Parameters, typename T>
inline void setup_oea(Params const& params, Parameters& par, par_oea<T>& proj_parm)
{
if (((proj_parm.n = pj_get_param_f<T, srs::spar::n>(params, "n", srs::dpar::n)) <= 0.) ||
((proj_parm.m = pj_get_param_f<T, srs::spar::m>(params, "m", srs::dpar::m)) <= 0.)) {
BOOST_THROW_EXCEPTION( projection_exception(error_invalid_m_or_n) );
} else {
proj_parm.theta = pj_get_param_r<T, srs::spar::theta>(params, "theta", srs::dpar::theta);
proj_parm.sp0 = sin(par.phi0);
proj_parm.cp0 = cos(par.phi0);
proj_parm.rn = 1./ proj_parm.n;
proj_parm.rm = 1./ proj_parm.m;
proj_parm.two_r_n = 2. * proj_parm.rn;
proj_parm.two_r_m = 2. * proj_parm.rm;
proj_parm.hm = 0.5 * proj_parm.m;
proj_parm.hn = 0.5 * proj_parm.n;
par.es = 0.;
}
}
}} // namespace detail::oea
#endif // doxygen
/*!
\brief Oblated Equal Area projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Miscellaneous
- Spheroid
\par Projection parameters
- n (real)
- m (real)
- theta: Theta (degrees)
\par Example
\image html ex_oea.gif
*/
template <typename T, typename Parameters>
struct oea_spheroid : public detail::oea::base_oea_spheroid<T, Parameters>
{
template <typename Params>
inline oea_spheroid(Params const& params, Parameters & par)
{
detail::oea::setup_oea(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_oea, oea_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(oea_entry, oea_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(oea_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(oea, oea_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_OEA_HPP
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