// 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_BONNE_HPP
#define BOOST_GEOMETRY_PROJECTIONS_BONNE_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_mlfn.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
#include <boost/geometry/util/math.hpp>
#include <boost/math/special_functions/hypot.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace bonne
{
static const double epsilon10 = 1e-10;
template <typename T>
struct par_bonne
{
T phi1;
T cphi1;
T am1;
T m1;
detail::en<T> en;
};
template <typename T, typename Parameters>
struct base_bonne_ellipsoid
{
par_bonne<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 const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T rh, E, c;
rh = this->m_proj_parm.am1 + this->m_proj_parm.m1 - pj_mlfn(lp_lat, E = sin(lp_lat), c = cos(lp_lat), this->m_proj_parm.en);
E = c * lp_lon / (rh * sqrt(1. - par.es * E * E));
xy_x = rh * sin(E);
xy_y = this->m_proj_parm.am1 - rh * cos(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 xy_y, T& lp_lon, T& lp_lat) const
{
static const T half_pi = detail::half_pi<T>();
T s, rh;
rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.am1 - xy_y);
lp_lat = pj_inv_mlfn(this->m_proj_parm.am1 + this->m_proj_parm.m1 - rh, par.es, this->m_proj_parm.en);
if ((s = fabs(lp_lat)) < half_pi) {
s = sin(lp_lat);
lp_lon = rh * atan2(xy_x, xy_y) *
sqrt(1. - par.es * s * s) / cos(lp_lat);
} else if (fabs(s - half_pi) <= epsilon10)
lp_lon = 0.;
else
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
static inline std::string get_name()
{
return "bonne_ellipsoid";
}
};
template <typename T, typename Parameters>
struct base_bonne_spheroid
{
par_bonne<T> 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
{
T E, rh;
rh = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - lp_lat;
if (fabs(rh) > epsilon10) {
xy_x = rh * sin(E = lp_lon * cos(lp_lat) / rh);
xy_y = this->m_proj_parm.cphi1 - rh * cos(E);
} else
xy_x = xy_y = 0.;
}
// INVERSE(s_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const
{
static const T half_pi = detail::half_pi<T>();
T rh;
rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.cphi1 - xy_y);
lp_lat = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - rh;
if (fabs(lp_lat) > half_pi) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
if (fabs(fabs(lp_lat) - half_pi) <= epsilon10)
lp_lon = 0.;
else
lp_lon = rh * atan2(xy_x, xy_y) / cos(lp_lat);
}
static inline std::string get_name()
{
return "bonne_spheroid";
}
};
// Bonne (Werner lat_1=90)
template <typename Params, typename Parameters, typename T>
inline void setup_bonne(Params const& params, Parameters const& par, par_bonne<T>& proj_parm)
{
static const T half_pi = detail::half_pi<T>();
T c;
proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
if (fabs(proj_parm.phi1) < epsilon10)
BOOST_THROW_EXCEPTION( projection_exception(error_lat1_is_zero) );
if (par.es != 0.0) {
proj_parm.en = pj_enfn<T>(par.es);
proj_parm.m1 = pj_mlfn(proj_parm.phi1, proj_parm.am1 = sin(proj_parm.phi1),
c = cos(proj_parm.phi1), proj_parm.en);
proj_parm.am1 = c / (sqrt(1. - par.es * proj_parm.am1 * proj_parm.am1) * proj_parm.am1);
} else {
if (fabs(proj_parm.phi1) + epsilon10 >= half_pi)
proj_parm.cphi1 = 0.;
else
proj_parm.cphi1 = 1. / tan(proj_parm.phi1);
}
}
}} // namespace detail::bonne
#endif // doxygen
/*!
\brief Bonne (Werner lat_1=90) projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
- Ellipsoid
\par Projection parameters
- lat_1: Latitude of first standard parallel (degrees)
\par Example
\image html ex_bonne.gif
*/
template <typename T, typename Parameters>
struct bonne_ellipsoid : public detail::bonne::base_bonne_ellipsoid<T, Parameters>
{
template <typename Params>
inline bonne_ellipsoid(Params const& params, Parameters const& par)
{
detail::bonne::setup_bonne(params, par, this->m_proj_parm);
}
};
/*!
\brief Bonne (Werner lat_1=90) projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
- Ellipsoid
\par Projection parameters
- lat_1: Latitude of first standard parallel (degrees)
\par Example
\image html ex_bonne.gif
*/
template <typename T, typename Parameters>
struct bonne_spheroid : public detail::bonne::base_bonne_spheroid<T, Parameters>
{
template <typename Params>
inline bonne_spheroid(Params const& params, Parameters const& par)
{
detail::bonne::setup_bonne(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_bonne, bonne_spheroid, bonne_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(bonne_entry, bonne_spheroid, bonne_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bonne_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bonne, bonne_entry);
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_BONNE_HPP