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// 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_BOGGS_HPP
#define BOOST_GEOMETRY_PROJECTIONS_BOGGS_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 boggs
{
static const int n_iter = 20;
static const double epsilon = 1e-7;
static const double FXC = 2.00276;
static const double FXC2 = 1.11072;
static const double FYC = 0.49931;
template <typename T, typename Parameters>
struct base_boggs_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 const& lp_lat, T& xy_x, T& xy_y) const
{
static const T half_pi = detail::half_pi<T>();
static const T pi = detail::pi<T>();
static const T root_two = boost::math::constants::root_two<T>();
T theta, th1, c;
int i;
theta = lp_lat;
if (fabs(fabs(lp_lat) - half_pi) < epsilon)
xy_x = 0.;
else {
c = sin(theta) * pi;
for (i = n_iter; i; --i) {
theta -= th1 = (theta + sin(theta) - c) /
(1. + cos(theta));
if (fabs(th1) < epsilon) break;
}
theta *= 0.5;
xy_x = FXC * lp_lon / (1. / cos(lp_lat) + FXC2 / cos(theta));
}
xy_y = FYC * (lp_lat + root_two * sin(theta));
}
static inline std::string get_name()
{
return "boggs_spheroid";
}
};
// Boggs Eumorphic
template <typename Parameters>
inline void setup_boggs(Parameters& par)
{
par.es = 0.;
}
}} // namespace detail::boggs
#endif // doxygen
/*!
\brief Boggs Eumorphic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Pseudocylindrical
- no inverse
- Spheroid
\par Example
\image html ex_boggs.gif
*/
template <typename T, typename Parameters>
struct boggs_spheroid : public detail::boggs::base_boggs_spheroid<T, Parameters>
{
template <typename Params>
inline boggs_spheroid(Params const& , Parameters & par)
{
detail::boggs::setup_boggs(par);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_boggs, boggs_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_F(boggs_entry, boggs_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(boggs_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(boggs, boggs_entry);
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_BOGGS_HPP
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