// 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_VANDG2_HPP
#define BOOST_GEOMETRY_PROJECTIONS_VANDG2_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/projects.hpp>
#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace vandg2
{
static const double tolerance = 1e-10;
struct par_vandg2
{
bool vdg3;
};
template <typename T, typename Parameters>
struct base_vandg2_spheroid
{
par_vandg2 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 const& lp_lat, T& xy_x, T& xy_y) const
{
static const T pi = detail::pi<T>();
static const T two_div_pi = detail::two_div_pi<T>();
T x1, at, bt, ct;
bt = fabs(two_div_pi * lp_lat);
if ((ct = 1. - bt * bt) < 0.)
ct = 0.;
else
ct = sqrt(ct);
if (fabs(lp_lon) < tolerance) {
xy_x = 0.;
xy_y = pi * (lp_lat < 0. ? -bt : bt) / (1. + ct);
} else {
at = 0.5 * fabs(pi / lp_lon - lp_lon / pi);
if (this->m_proj_parm.vdg3) {
x1 = bt / (1. + ct);
xy_x = pi * (sqrt(at * at + 1. - x1 * x1) - at);
xy_y = pi * x1;
} else {
x1 = (ct * sqrt(1. + at * at) - at * ct * ct) /
(1. + at * at * bt * bt);
xy_x = pi * x1;
xy_y = pi * sqrt(1. - x1 * (x1 + 2. * at) + tolerance);
}
if ( lp_lon < 0.) xy_x = -xy_x;
if ( lp_lat < 0.) xy_y = -xy_y;
}
}
static inline std::string get_name()
{
return "vandg2_spheroid";
}
};
// van der Grinten II
inline void setup_vandg2(par_vandg2& proj_parm)
{
proj_parm.vdg3 = false;
}
// van der Grinten III
template <typename Parameters>
inline void setup_vandg3(Parameters& par, par_vandg2& proj_parm)
{
proj_parm.vdg3 = true;
par.es = 0.;
}
}} // namespace detail::vandg2
#endif // doxygen
/*!
\brief van der Grinten II projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Miscellaneous
- Spheroid
- no inverse
\par Example
\image html ex_vandg2.gif
*/
template <typename T, typename Parameters>
struct vandg2_spheroid : public detail::vandg2::base_vandg2_spheroid<T, Parameters>
{
template <typename Params>
inline vandg2_spheroid(Params const& , Parameters const& )
{
detail::vandg2::setup_vandg2(this->m_proj_parm);
}
};
/*!
\brief van der Grinten III projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Miscellaneous
- Spheroid
- no inverse
\par Example
\image html ex_vandg3.gif
*/
template <typename T, typename Parameters>
struct vandg3_spheroid : public detail::vandg2::base_vandg2_spheroid<T, Parameters>
{
template <typename Params>
inline vandg3_spheroid(Params const& , Parameters & par)
{
detail::vandg2::setup_vandg3(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_vandg2, vandg2_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_vandg3, vandg3_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(vandg2_entry, vandg2_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(vandg3_entry, vandg3_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(vandg2_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vandg2, vandg2_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vandg3, vandg3_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_VANDG2_HPP