// 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_POLY_HPP
#define BOOST_GEOMETRY_PROJECTIONS_POLY_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/pj_mlfn.hpp>
#include <boost/geometry/srs/projections/impl/pj_msfn.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace poly
{
static const double tolerance = 1e-10;
static const double conv_tolerance = 1e-10;
static const int n_iter = 10;
static const int i_iter = 20;
static const double i_tolerance = 1.e-12;
template <typename T>
struct par_poly
{
T ml0;
detail::en<T> en;
};
template <typename T, typename Parameters>
struct base_poly_ellipsoid
{
par_poly<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 lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T ms, sp, cp;
if (fabs(lp_lat) <= tolerance) {
xy_x = lp_lon;
xy_y = -this->m_proj_parm.ml0;
} else {
sp = sin(lp_lat);
ms = fabs(cp = cos(lp_lat)) > tolerance ? pj_msfn(sp, cp, par.es) / sp : 0.;
xy_x = ms * sin(lp_lon *= sp);
xy_y = (pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en) - this->m_proj_parm.ml0) + ms * (1. - cos(lp_lon));
}
}
// 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
{
xy_y += this->m_proj_parm.ml0;
if (fabs(xy_y) <= tolerance) {
lp_lon = xy_x;
lp_lat = 0.;
} else {
T r, c, sp, cp, s2ph, ml, mlb, mlp, dPhi;
int i;
r = xy_y * xy_y + xy_x * xy_x;
for (lp_lat = xy_y, i = i_iter; i ; --i) {
sp = sin(lp_lat);
s2ph = sp * ( cp = cos(lp_lat));
if (fabs(cp) < i_tolerance) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
c = sp * (mlp = sqrt(1. - par.es * sp * sp)) / cp;
ml = pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en);
mlb = ml * ml + r;
mlp = par.one_es / (mlp * mlp * mlp);
lp_lat += ( dPhi =
( ml + ml + c * mlb - 2. * xy_y * (c * ml + 1.) ) / (
par.es * s2ph * (mlb - 2. * xy_y * ml) / c +
2.* (xy_y - ml) * (c * mlp - 1. / s2ph) - mlp - mlp ));
if (fabs(dPhi) <= i_tolerance)
break;
}
if (!i) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
c = sin(lp_lat);
lp_lon = asin(xy_x * tan(lp_lat) * sqrt(1. - par.es * c * c)) / sin(lp_lat);
}
}
static inline std::string get_name()
{
return "poly_ellipsoid";
}
};
template <typename T, typename Parameters>
struct base_poly_spheroid
{
par_poly<T> m_proj_parm;
// FORWARD(s_forward) spheroid
// 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 cot, E;
if (fabs(lp_lat) <= tolerance) {
xy_x = lp_lon;
xy_y = this->m_proj_parm.ml0;
} else {
cot = 1. / tan(lp_lat);
xy_x = sin(E = lp_lon * sin(lp_lat)) * cot;
xy_y = lp_lat - par.phi0 + cot * (1. - cos(E));
}
}
// INVERSE(s_inverse) spheroid
// 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
{
T B, dphi, tp;
int i;
if (fabs(xy_y = par.phi0 + xy_y) <= tolerance) {
lp_lon = xy_x;
lp_lat = 0.;
} else {
lp_lat = xy_y;
B = xy_x * xy_x + xy_y * xy_y;
i = n_iter;
do {
tp = tan(lp_lat);
lp_lat -= (dphi = (xy_y * (lp_lat * tp + 1.) - lp_lat -
.5 * ( lp_lat * lp_lat + B) * tp) /
((lp_lat - xy_y) / tp - 1.));
} while (fabs(dphi) > conv_tolerance && --i);
if (! i) {
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
}
lp_lon = asin(xy_x * tan(lp_lat)) / sin(lp_lat);
}
}
static inline std::string get_name()
{
return "poly_spheroid";
}
};
// Polyconic (American)
template <typename Parameters, typename T>
inline void setup_poly(Parameters const& par, par_poly<T>& proj_parm)
{
if (par.es != 0.0) {
proj_parm.en = pj_enfn<T>(par.es);
proj_parm.ml0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en);
} else {
proj_parm.ml0 = -par.phi0;
}
}
}} // namespace detail::poly
#endif // doxygen
/*!
\brief Polyconic (American) projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
- Ellipsoid
\par Example
\image html ex_poly.gif
*/
template <typename T, typename Parameters>
struct poly_ellipsoid : public detail::poly::base_poly_ellipsoid<T, Parameters>
{
template <typename Params>
inline poly_ellipsoid(Params const& , Parameters const& par)
{
detail::poly::setup_poly(par, this->m_proj_parm);
}
};
/*!
\brief Polyconic (American) projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
- Ellipsoid
\par Example
\image html ex_poly.gif
*/
template <typename T, typename Parameters>
struct poly_spheroid : public detail::poly::base_poly_spheroid<T, Parameters>
{
template <typename Params>
inline poly_spheroid(Params const& , Parameters const& par)
{
detail::poly::setup_poly(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_poly, poly_spheroid, poly_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(poly_entry, poly_spheroid, poly_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(poly_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(poly, poly_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_POLY_HPP