// 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_PUTP6_HPP
#define BOOST_GEOMETRY_PROJECTIONS_PUTP6_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>
#include <boost/geometry/srs/projections/impl/aasincos.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace putp6
{
static const double epsilon = 1e-10;
static const int n_iter = 10;
static const double CON_POLE = 1.732050807568877;
template <typename T>
struct par_putp6
{
T C_x, C_y, A, B, D;
};
template <typename T, typename Parameters>
struct base_putp6_spheroid
{
par_putp6<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
{
T p, r, V;
int i;
p = this->m_proj_parm.B * sin(lp_lat);
lp_lat *= 1.10265779;
for (i = n_iter; i ; --i) {
r = sqrt(1. + lp_lat * lp_lat);
lp_lat -= V = ( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) - p ) /
(this->m_proj_parm.A - 2. * r);
if (fabs(V) < epsilon)
break;
}
if (!i)
lp_lat = p < 0. ? -CON_POLE : CON_POLE;
xy_x = this->m_proj_parm.C_x * lp_lon * (this->m_proj_parm.D - sqrt(1. + lp_lat * lp_lat));
xy_y = this->m_proj_parm.C_y * 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
{
T r;
lp_lat = xy_y / this->m_proj_parm.C_y;
r = sqrt(1. + lp_lat * lp_lat);
lp_lon = xy_x / (this->m_proj_parm.C_x * (this->m_proj_parm.D - r));
lp_lat = aasin(( (this->m_proj_parm.A - r) * lp_lat - log(lp_lat + r) ) / this->m_proj_parm.B);
}
static inline std::string get_name()
{
return "putp6_spheroid";
}
};
// Putnins P6
template <typename Parameters, typename T>
inline void setup_putp6(Parameters& par, par_putp6<T>& proj_parm)
{
proj_parm.C_x = 1.01346;
proj_parm.C_y = 0.91910;
proj_parm.A = 4.;
proj_parm.B = 2.1471437182129378784;
proj_parm.D = 2.;
par.es = 0.;
}
// Putnins P6'
template <typename Parameters, typename T>
inline void setup_putp6p(Parameters& par, par_putp6<T>& proj_parm)
{
proj_parm.C_x = 0.44329;
proj_parm.C_y = 0.80404;
proj_parm.A = 6.;
proj_parm.B = 5.61125;
proj_parm.D = 3.;
par.es = 0.;
}
}} // namespace detail::putp6
#endif // doxygen
/*!
\brief Putnins P6 projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Pseudocylindrical
- Spheroid
\par Example
\image html ex_putp6.gif
*/
template <typename T, typename Parameters>
struct putp6_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
{
template <typename Params>
inline putp6_spheroid(Params const& , Parameters & par)
{
detail::putp6::setup_putp6(par, this->m_proj_parm);
}
};
/*!
\brief Putnins P6' projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Pseudocylindrical
- Spheroid
\par Example
\image html ex_putp6p.gif
*/
template <typename T, typename Parameters>
struct putp6p_spheroid : public detail::putp6::base_putp6_spheroid<T, Parameters>
{
template <typename Params>
inline putp6p_spheroid(Params const& , Parameters & par)
{
detail::putp6::setup_putp6p(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6, putp6_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_putp6p, putp6p_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6_entry, putp6_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(putp6p_entry, putp6p_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(putp6_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6, putp6_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(putp6p, putp6p_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_PUTP6_HPP