// 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:
// Copyright (c) 2003, 2006 Gerald I. 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_ROUSS_HPP
#define BOOST_GEOMETRY_PROJECTIONS_ROUSS_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/proj_mdist.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace rouss
{
template <typename T>
struct par_rouss
{
T s0;
T A1, A2, A3, A4, A5, A6;
T B1, B2, B3, B4, B5, B6, B7, B8;
T C1, C2, C3, C4, C5, C6, C7, C8;
T D1, D2, D3, D4, D5, D6, D7, D8, D9, D10, D11;
mdist<T> en;
};
template <typename T, typename Parameters>
struct base_rouss_ellipsoid
{
par_rouss<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 const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T s, al, cp, sp, al2, s2;
cp = cos(lp_lat);
sp = sin(lp_lat);
s = proj_mdist(lp_lat, sp, cp, this->m_proj_parm.en) - this->m_proj_parm.s0;
s2 = s * s;
al = lp_lon * cp / sqrt(1. - par.es * sp * sp);
al2 = al * al;
xy_x = par.k0 * al*(1.+s2*(this->m_proj_parm.A1+s2*this->m_proj_parm.A4)-al2*(this->m_proj_parm.A2+s*this->m_proj_parm.A3+s2*this->m_proj_parm.A5
+al2*this->m_proj_parm.A6));
xy_y = par.k0 * (al2*(this->m_proj_parm.B1+al2*this->m_proj_parm.B4)+
s*(1.+al2*(this->m_proj_parm.B3-al2*this->m_proj_parm.B6)+s2*(this->m_proj_parm.B2+s2*this->m_proj_parm.B8)+
s*al2*(this->m_proj_parm.B5+s*this->m_proj_parm.B7)));
}
// 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 const& xy_y, T& lp_lon, T& lp_lat) const
{
T s, al, x = xy_x / par.k0, y = xy_y / par.k0, x2, y2;
x2 = x * x;
y2 = y * y;
al = x*(1.-this->m_proj_parm.C1*y2+x2*(this->m_proj_parm.C2+this->m_proj_parm.C3*y-this->m_proj_parm.C4*x2+this->m_proj_parm.C5*y2-this->m_proj_parm.C7*x2*y)
+y2*(this->m_proj_parm.C6*y2-this->m_proj_parm.C8*x2*y));
s = this->m_proj_parm.s0 + y*(1.+y2*(-this->m_proj_parm.D2+this->m_proj_parm.D8*y2))+
x2*(-this->m_proj_parm.D1+y*(-this->m_proj_parm.D3+y*(-this->m_proj_parm.D5+y*(-this->m_proj_parm.D7+y*this->m_proj_parm.D11)))+
x2*(this->m_proj_parm.D4+y*(this->m_proj_parm.D6+y*this->m_proj_parm.D10)-x2*this->m_proj_parm.D9));
lp_lat=proj_inv_mdist(s, this->m_proj_parm.en);
s = sin(lp_lat);
lp_lon=al * sqrt(1. - par.es * s * s)/cos(lp_lat);
}
static inline std::string get_name()
{
return "rouss_ellipsoid";
}
};
// Roussilhe Stereographic
template <typename Parameters, typename T>
inline void setup_rouss(Parameters const& par, par_rouss<T>& proj_parm)
{
T N0, es2, t, t2, R_R0_2, R_R0_4;
if (!proj_mdist_ini(par.es, proj_parm.en))
BOOST_THROW_EXCEPTION( projection_exception(0) );
es2 = sin(par.phi0);
proj_parm.s0 = proj_mdist(par.phi0, es2, cos(par.phi0), proj_parm.en);
t = 1. - (es2 = par.es * es2 * es2);
N0 = 1./sqrt(t);
R_R0_2 = t * t / par.one_es;
R_R0_4 = R_R0_2 * R_R0_2;
t = tan(par.phi0);
t2 = t * t;
proj_parm.C1 = proj_parm.A1 = R_R0_2 / 4.;
proj_parm.C2 = proj_parm.A2 = R_R0_2 * (2 * t2 - 1. - 2. * es2) / 12.;
proj_parm.A3 = R_R0_2 * t * (1. + 4. * t2)/ ( 12. * N0);
proj_parm.A4 = R_R0_4 / 24.;
proj_parm.A5 = R_R0_4 * ( -1. + t2 * (11. + 12. * t2))/24.;
proj_parm.A6 = R_R0_4 * ( -2. + t2 * (11. - 2. * t2))/240.;
proj_parm.B1 = t / (2. * N0);
proj_parm.B2 = R_R0_2 / 12.;
proj_parm.B3 = R_R0_2 * (1. + 2. * t2 - 2. * es2)/4.;
proj_parm.B4 = R_R0_2 * t * (2. - t2)/(24. * N0);
proj_parm.B5 = R_R0_2 * t * (5. + 4.* t2)/(8. * N0);
proj_parm.B6 = R_R0_4 * (-2. + t2 * (-5. + 6. * t2))/48.;
proj_parm.B7 = R_R0_4 * (5. + t2 * (19. + 12. * t2))/24.;
proj_parm.B8 = R_R0_4 / 120.;
proj_parm.C3 = R_R0_2 * t * (1. + t2)/(3. * N0);
proj_parm.C4 = R_R0_4 * (-3. + t2 * (34. + 22. * t2))/240.;
proj_parm.C5 = R_R0_4 * (4. + t2 * (13. + 12. * t2))/24.;
proj_parm.C6 = R_R0_4 / 16.;
proj_parm.C7 = R_R0_4 * t * (11. + t2 * (33. + t2 * 16.))/(48. * N0);
proj_parm.C8 = R_R0_4 * t * (1. + t2 * 4.)/(36. * N0);
proj_parm.D1 = t / (2. * N0);
proj_parm.D2 = R_R0_2 / 12.;
proj_parm.D3 = R_R0_2 * (2 * t2 + 1. - 2. * es2) / 4.;
proj_parm.D4 = R_R0_2 * t * (1. + t2)/(8. * N0);
proj_parm.D5 = R_R0_2 * t * (1. + t2 * 2.)/(4. * N0);
proj_parm.D6 = R_R0_4 * (1. + t2 * (6. + t2 * 6.))/16.;
proj_parm.D7 = R_R0_4 * t2 * (3. + t2 * 4.)/8.;
proj_parm.D8 = R_R0_4 / 80.;
proj_parm.D9 = R_R0_4 * t * (-21. + t2 * (178. - t2 * 26.))/720.;
proj_parm.D10 = R_R0_4 * t * (29. + t2 * (86. + t2 * 48.))/(96. * N0);
proj_parm.D11 = R_R0_4 * t * (37. + t2 * 44.)/(96. * N0);
}
}} // namespace detail::rouss
#endif // doxygen
/*!
\brief Roussilhe Stereographic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Azimuthal
- Ellipsoid
\par Example
\image html ex_rouss.gif
*/
template <typename T, typename Parameters>
struct rouss_ellipsoid : public detail::rouss::base_rouss_ellipsoid<T, Parameters>
{
template <typename Params>
inline rouss_ellipsoid(Params const& , Parameters const& par)
{
detail::rouss::setup_rouss(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_rouss, rouss_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(rouss_entry, rouss_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(rouss_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(rouss, rouss_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_ROUSS_HPP