// 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_CEA_HPP
#define BOOST_GEOMETRY_PROJECTIONS_CEA_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_auth.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/pj_qsfn.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
#include <boost/geometry/util/math.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace cea
{
static const double epsilon = 1e-10;
template <typename T>
struct par_cea
{
T qp;
detail::apa<T> apa;
};
template <typename T, typename Parameters>
struct base_cea_ellipsoid
{
par_cea<T> m_proj_parm;
// FORWARD(e_forward) spheroid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
xy_x = par.k0 * lp_lon;
xy_y = .5 * pj_qsfn(sin(lp_lat), par.e, par.one_es) / par.k0;
}
// INVERSE(e_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
{
lp_lat = pj_authlat(asin( 2. * xy_y * par.k0 / this->m_proj_parm.qp), this->m_proj_parm.apa);
lp_lon = xy_x / par.k0;
}
static inline std::string get_name()
{
return "cea_ellipsoid";
}
};
template <typename T, typename Parameters>
struct base_cea_spheroid
{
par_cea<T> m_proj_parm;
// FORWARD(s_forward) spheroid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
xy_x = par.k0 * lp_lon;
xy_y = sin(lp_lat) / par.k0;
}
// INVERSE(s_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
{
static const T half_pi = detail::half_pi<T>();
T t;
if ((t = fabs(xy_y *= par.k0)) - epsilon <= 1.) {
if (t >= 1.)
lp_lat = xy_y < 0. ? -half_pi : half_pi;
else
lp_lat = asin(xy_y);
lp_lon = xy_x / par.k0;
} else
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
static inline std::string get_name()
{
return "cea_spheroid";
}
};
// Equal Area Cylindrical
template <typename Params, typename Parameters, typename T>
inline void setup_cea(Params const& params, Parameters& par, par_cea<T>& proj_parm)
{
T t = 0;
if (pj_param_r<srs::spar::lat_ts>(params, "lat_ts", srs::dpar::lat_ts, t)) {
par.k0 = cos(t);
if (par.k0 < 0.) {
BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) );
}
}
if (par.es != 0.0) {
t = sin(t);
par.k0 /= sqrt(1. - par.es * t * t);
par.e = sqrt(par.es);
proj_parm.apa = pj_authset<T>(par.es);
proj_parm.qp = pj_qsfn(T(1), par.e, par.one_es);
}
}
}} // namespace detail::cea
#endif // doxygen
/*!
\brief Equal Area Cylindrical projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
- Ellipsoid
\par Projection parameters
- lat_ts: Latitude of true scale (degrees)
\par Example
\image html ex_cea.gif
*/
template <typename T, typename Parameters>
struct cea_ellipsoid : public detail::cea::base_cea_ellipsoid<T, Parameters>
{
template <typename Params>
inline cea_ellipsoid(Params const& params, Parameters & par)
{
detail::cea::setup_cea(params, par, this->m_proj_parm);
}
};
/*!
\brief Equal Area Cylindrical projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
- Ellipsoid
\par Projection parameters
- lat_ts: Latitude of true scale (degrees)
\par Example
\image html ex_cea.gif
*/
template <typename T, typename Parameters>
struct cea_spheroid : public detail::cea::base_cea_spheroid<T, Parameters>
{
template <typename Params>
inline cea_spheroid(Params const& params, Parameters & par)
{
detail::cea::setup_cea(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_cea, cea_spheroid, cea_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(cea_entry, cea_spheroid, cea_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(cea_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(cea, cea_entry);
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_CEA_HPP