// 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_GSTMERC_HPP
#define BOOST_GEOMETRY_PROJECTIONS_GSTMERC_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_phi2.hpp>
#include <boost/geometry/srs/projections/impl/pj_tsfn.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace gstmerc
{
template <typename T>
struct par_gstmerc
{
T lamc;
T phic;
T c;
T n1;
T n2;
T XS;
T YS;
};
template <typename T, typename Parameters>
struct base_gstmerc_spheroid
{
par_gstmerc<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 L, Ls, sinLs1, Ls1;
L= this->m_proj_parm.n1*lp_lon;
Ls= this->m_proj_parm.c+this->m_proj_parm.n1*log(pj_tsfn(-1.0*lp_lat,-1.0*sin(lp_lat), par.e));
sinLs1= sin(L)/cosh(Ls);
Ls1= log(pj_tsfn(-1.0*asin(sinLs1),0.0,0.0));
xy_x= (this->m_proj_parm.XS + this->m_proj_parm.n2*Ls1) * par.ra;
xy_y= (this->m_proj_parm.YS + this->m_proj_parm.n2*atan(sinh(Ls)/cos(L))) * par.ra;
}
// 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 const& xy_y, T& lp_lon, T& lp_lat) const
{
T L, LC, sinC;
L= atan(sinh((xy_x * par.a - this->m_proj_parm.XS)/this->m_proj_parm.n2)/cos((xy_y * par.a - this->m_proj_parm.YS)/this->m_proj_parm.n2));
sinC= sin((xy_y * par.a - this->m_proj_parm.YS)/this->m_proj_parm.n2)/cosh((xy_x * par.a - this->m_proj_parm.XS)/this->m_proj_parm.n2);
LC= log(pj_tsfn(-1.0*asin(sinC),0.0,0.0));
lp_lon= L/this->m_proj_parm.n1;
lp_lat= -1.0*pj_phi2(exp((LC-this->m_proj_parm.c)/this->m_proj_parm.n1), par.e);
}
static inline std::string get_name()
{
return "gstmerc_spheroid";
}
};
// Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion)
template <typename Parameters, typename T>
inline void setup_gstmerc(Parameters const& par, par_gstmerc<T>& proj_parm)
{
proj_parm.lamc= par.lam0;
proj_parm.n1= sqrt(T(1)+par.es*math::pow(cos(par.phi0),4)/(T(1)-par.es));
proj_parm.phic= asin(sin(par.phi0)/proj_parm.n1);
proj_parm.c= log(pj_tsfn(-1.0*proj_parm.phic,0.0,0.0))
- proj_parm.n1*log(pj_tsfn(-1.0*par.phi0,-1.0*sin(par.phi0),par.e));
proj_parm.n2= par.k0*par.a*sqrt(1.0-par.es)/(1.0-par.es*sin(par.phi0)*sin(par.phi0));
proj_parm.XS= 0;/* -par.x0 */
proj_parm.YS= -1.0*proj_parm.n2*proj_parm.phic;/* -par.y0 */
}
}} // namespace detail::gstmerc
#endif // doxygen
/*!
\brief Gauss-Schreiber Transverse Mercator (aka Gauss-Laborde Reunion) projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
- Ellipsoid
\par Projection parameters
- lat_0: Latitude of origin
- lon_0: Central meridian
- k_0: Scale factor
\par Example
\image html ex_gstmerc.gif
*/
template <typename T, typename Parameters>
struct gstmerc_spheroid : public detail::gstmerc::base_gstmerc_spheroid<T, Parameters>
{
template <typename Params>
inline gstmerc_spheroid(Params const& , Parameters const& par)
{
detail::gstmerc::setup_gstmerc(par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_gstmerc, gstmerc_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gstmerc_entry, gstmerc_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(gstmerc_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gstmerc, gstmerc_entry);
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_GSTMERC_HPP