// 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_MBTFPQ_HPP
#define BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_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 mbtfpq
{
static const int n_iter = 20;
static const double epsilon = 1e-7;
static const double one_plus_tol = 1.000001;
static const double C = 1.70710678118654752440;
static const double RC = 0.58578643762690495119;
static const double FYC = 1.87475828462269495505;
static const double RYC = 0.53340209679417701685;
static const double FXC = 0.31245971410378249250;
static const double RXC = 3.20041258076506210122;
template <typename T, typename Parameters>
struct base_mbtfpq_spheroid
{
// 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
{
T th1, c;
int i;
c = C * sin(lp_lat);
for (i = n_iter; i; --i) {
lp_lat -= th1 = (sin(.5*lp_lat) + sin(lp_lat) - c) /
(.5*cos(.5*lp_lat) + cos(lp_lat));
if (fabs(th1) < epsilon) break;
}
xy_x = FXC * lp_lon * (1.0 + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
xy_y = FYC * sin(0.5 * lp_lat);
}
// INVERSE(s_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& , T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
{
static const T pi = detail::pi<T>();
static const T half_pi = detail::half_pi<T>();
T t;
lp_lat = RYC * xy_y;
if (fabs(lp_lat) > 1.) {
if (fabs(lp_lat) > one_plus_tol) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
} else if (lp_lat < 0.) {
t = -1.; lp_lat = -pi;
} else {
t = 1.; lp_lat = pi;
}
} else
lp_lat = 2. * asin(t = lp_lat);
lp_lon = RXC * xy_x / (1. + 2. * cos(lp_lat)/cos(0.5 * lp_lat));
lp_lat = RC * (t + sin(lp_lat));
if (fabs(lp_lat) > 1.)
if (fabs(lp_lat) > one_plus_tol) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
} else
lp_lat = lp_lat < 0. ? -half_pi : half_pi;
else
lp_lat = asin(lp_lat);
}
static inline std::string get_name()
{
return "mbtfpq_spheroid";
}
};
// McBryde-Thomas Flat-Polar Quartic
template <typename Parameters>
inline void setup_mbtfpq(Parameters& par)
{
par.es = 0.;
}
}} // namespace detail::mbtfpq
#endif // doxygen
/*!
\brief McBryde-Thomas Flat-Polar Quartic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
\par Example
\image html ex_mbtfpq.gif
*/
template <typename T, typename Parameters>
struct mbtfpq_spheroid : public detail::mbtfpq::base_mbtfpq_spheroid<T, Parameters>
{
template <typename Params>
inline mbtfpq_spheroid(Params const& , Parameters & par)
{
detail::mbtfpq::setup_mbtfpq(par);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mbtfpq, mbtfpq_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mbtfpq_entry, mbtfpq_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mbtfpq_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mbtfpq, mbtfpq_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_MBTFPQ_HPP