// 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_MERC_HPP
#define BOOST_GEOMETRY_PROJECTIONS_MERC_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_msfn.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/pj_phi2.hpp>
#include <boost/geometry/srs/projections/impl/pj_tsfn.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 merc
{
static const double epsilon10 = 1.e-10;
template <typename T, typename Parameters>
struct base_merc_ellipsoid
{
// FORWARD(e_forward) ellipsoid
// 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
{
static const T half_pi = detail::half_pi<T>();
if (fabs(fabs(lp_lat) - half_pi) <= epsilon10) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
xy_x = par.k0 * lp_lon;
xy_y = - par.k0 * log(pj_tsfn(lp_lat, sin(lp_lat), par.e));
}
// INVERSE(e_inverse) ellipsoid
// 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
{
if ((lp_lat = pj_phi2(exp(- xy_y / par.k0), par.e)) == HUGE_VAL) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
lp_lon = xy_x / par.k0;
}
static inline std::string get_name()
{
return "merc_ellipsoid";
}
};
template <typename T, typename Parameters>
struct base_merc_spheroid
{
// 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
{
static const T half_pi = detail::half_pi<T>();
static const T fourth_pi = detail::fourth_pi<T>();
if (fabs(fabs(lp_lat) - half_pi) <= epsilon10) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
xy_x = par.k0 * lp_lon;
xy_y = par.k0 * log(tan(fourth_pi + .5 * lp_lat));
}
// 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 const& xy_y, T& lp_lon, T& lp_lat) const
{
static const T half_pi = detail::half_pi<T>();
lp_lat = half_pi - 2. * atan(exp(-xy_y / par.k0));
lp_lon = xy_x / par.k0;
}
static inline std::string get_name()
{
return "merc_spheroid";
}
};
// Mercator
template <typename Params, typename Parameters>
inline void setup_merc(Params const& params, Parameters& par)
{
typedef typename Parameters::type calc_t;
static const calc_t half_pi = detail::half_pi<calc_t>();
calc_t phits=0.0;
int is_phits;
if( (is_phits = pj_param_r<srs::spar::lat_ts>(params, "lat_ts", srs::dpar::lat_ts, phits)) ) {
phits = fabs(phits);
if (phits >= half_pi)
BOOST_THROW_EXCEPTION( projection_exception(error_lat_ts_larger_than_90) );
}
if (par.es != 0.0) { /* ellipsoid */
if (is_phits)
par.k0 = pj_msfn(sin(phits), cos(phits), par.es);
} else { /* sphere */
if (is_phits)
par.k0 = cos(phits);
}
}
}} // namespace detail::merc
#endif // doxygen
/*!
\brief Mercator 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_merc.gif
*/
template <typename T, typename Parameters>
struct merc_ellipsoid : public detail::merc::base_merc_ellipsoid<T, Parameters>
{
template <typename Params>
inline merc_ellipsoid(Params const& params, Parameters & par)
{
detail::merc::setup_merc(params, par);
}
};
/*!
\brief Mercator 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_merc.gif
*/
template <typename T, typename Parameters>
struct merc_spheroid : public detail::merc::base_merc_spheroid<T, Parameters>
{
template <typename Params>
inline merc_spheroid(Params const& params, Parameters & par)
{
detail::merc::setup_merc(params, par);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_merc, merc_spheroid, merc_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(merc_entry, merc_spheroid, merc_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(merc_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(merc, merc_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_MERC_HPP