// 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:
// Purpose: Implementation of the airy (Airy) projection.
// Author: Gerald Evenden (1995)
// Thomas Knudsen (2016) - revise/add regression tests
// Copyright (c) 1995, Gerald Evenden
// 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_AIRY_HPP
#define BOOST_GEOMETRY_PROJECTIONS_AIRY_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>
#include <boost/geometry/util/math.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace airy
{
static const double epsilon = 1.e-10;
enum mode_type {
n_pole = 0,
s_pole = 1,
equit = 2,
obliq = 3
};
template <typename T>
struct par_airy
{
T p_halfpi;
T sinph0;
T cosph0;
T Cb;
mode_type mode;
bool no_cut; /* do not cut at hemisphere limit */
};
template <typename T, typename Parameters>
struct base_airy_spheroid
{
par_airy<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 lp_lat, T& xy_x, T& xy_y) const
{
static const T half_pi = detail::half_pi<T>();
T sinlam, coslam, cosphi, sinphi, t, s, Krho, cosz;
sinlam = sin(lp_lon);
coslam = cos(lp_lon);
switch (this->m_proj_parm.mode) {
case equit:
case obliq:
sinphi = sin(lp_lat);
cosphi = cos(lp_lat);
cosz = cosphi * coslam;
if (this->m_proj_parm.mode == obliq)
cosz = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosz;
if (!this->m_proj_parm.no_cut && cosz < -epsilon) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
if (fabs(s = 1. - cosz) > epsilon) {
t = 0.5 * (1. + cosz);
Krho = -log(t)/s - this->m_proj_parm.Cb / t;
} else
Krho = 0.5 - this->m_proj_parm.Cb;
xy_x = Krho * cosphi * sinlam;
if (this->m_proj_parm.mode == obliq)
xy_y = Krho * (this->m_proj_parm.cosph0 * sinphi -
this->m_proj_parm.sinph0 * cosphi * coslam);
else
xy_y = Krho * sinphi;
break;
case s_pole:
case n_pole:
lp_lat = fabs(this->m_proj_parm.p_halfpi - lp_lat);
if (!this->m_proj_parm.no_cut && (lp_lat - epsilon) > half_pi)
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
if ((lp_lat *= 0.5) > epsilon) {
t = tan(lp_lat);
Krho = -2.*(log(cos(lp_lat)) / t + t * this->m_proj_parm.Cb);
xy_x = Krho * sinlam;
xy_y = Krho * coslam;
if (this->m_proj_parm.mode == n_pole)
xy_y = -xy_y;
} else
xy_x = xy_y = 0.;
}
}
static inline std::string get_name()
{
return "airy_spheroid";
}
};
// Airy
template <typename Params, typename Parameters, typename T>
inline void setup_airy(Params const& params, Parameters& par, par_airy<T>& proj_parm)
{
static const T half_pi = detail::half_pi<T>();
T beta;
proj_parm.no_cut = pj_get_param_b<srs::spar::no_cut>(params, "no_cut", srs::dpar::no_cut);
beta = 0.5 * (half_pi - pj_get_param_r<T, srs::spar::lat_b>(params, "lat_b", srs::dpar::lat_b));
if (fabs(beta) < epsilon)
proj_parm.Cb = -0.5;
else {
proj_parm.Cb = 1./tan(beta);
proj_parm.Cb *= proj_parm.Cb * log(cos(beta));
}
if (fabs(fabs(par.phi0) - half_pi) < epsilon)
if (par.phi0 < 0.) {
proj_parm.p_halfpi = -half_pi;
proj_parm.mode = s_pole;
} else {
proj_parm.p_halfpi = half_pi;
proj_parm.mode = n_pole;
}
else {
if (fabs(par.phi0) < epsilon)
proj_parm.mode = equit;
else {
proj_parm.mode = obliq;
proj_parm.sinph0 = sin(par.phi0);
proj_parm.cosph0 = cos(par.phi0);
}
}
par.es = 0.;
}
}} // namespace detail::airy
#endif // doxygen
/*!
\brief Airy 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 Projection parameters
- no_cut: Do not cut at hemisphere limit (boolean)
- lat_b (degrees)
\par Example
\image html ex_airy.gif
*/
template <typename T, typename Parameters>
struct airy_spheroid : public detail::airy::base_airy_spheroid<T, Parameters>
{
template <typename Params>
inline airy_spheroid(Params const& params, Parameters & par)
{
detail::airy::setup_airy(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_airy, airy_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(airy_entry, airy_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(airy_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(airy, airy_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_AIRY_HPP