// 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_OCEA_HPP
#define BOOST_GEOMETRY_PROJECTIONS_OCEA_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/factory_entry.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace ocea
{
template <typename T>
struct par_ocea
{
T rok;
T rtk;
T sinphi;
T cosphi;
T singam;
T cosgam;
};
template <typename T, typename Parameters>
struct base_ocea_spheroid
{
par_ocea<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 const& lp_lat, T& xy_x, T& xy_y) const
{
static const T pi = detail::pi<T>();
T t;
xy_y = sin(lp_lon);
t = cos(lp_lon);
xy_x = atan((tan(lp_lat) * this->m_proj_parm.cosphi + this->m_proj_parm.sinphi * xy_y) / t);
if (t < 0.)
xy_x += pi;
xy_x *= this->m_proj_parm.rtk;
xy_y = this->m_proj_parm.rok * (this->m_proj_parm.sinphi * sin(lp_lat) - this->m_proj_parm.cosphi * cos(lp_lat) * xy_y);
}
// INVERSE(s_inverse) spheroid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& , T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
{
T t, s;
xy_y /= this->m_proj_parm.rok;
xy_x /= this->m_proj_parm.rtk;
t = sqrt(1. - xy_y * xy_y);
lp_lat = asin(xy_y * this->m_proj_parm.sinphi + t * this->m_proj_parm.cosphi * (s = sin(xy_x)));
lp_lon = atan2(t * this->m_proj_parm.sinphi * s - xy_y * this->m_proj_parm.cosphi,
t * cos(xy_x));
}
static inline std::string get_name()
{
return "ocea_spheroid";
}
};
// Oblique Cylindrical Equal Area
template <typename Params, typename Parameters, typename T>
inline void setup_ocea(Params const& params, Parameters& par, par_ocea<T>& proj_parm)
{
static const T half_pi = detail::half_pi<T>();
T phi_0=0.0, phi_1, phi_2, lam_1, lam_2, lonz, alpha;
proj_parm.rok = 1. / par.k0;
proj_parm.rtk = par.k0;
/*If the keyword "alpha" is found in the sentence then use 1point+1azimuth*/
if ( pj_param_r<srs::spar::alpha>(params, "alpha", srs::dpar::alpha, alpha)) {
/*Define Pole of oblique transformation from 1 point & 1 azimuth*/
//alpha = pj_get_param_r(par.params, "alpha"); // set above
lonz = pj_get_param_r<T, srs::spar::lonc>(params, "lonc", srs::dpar::lonc);
/*Equation 9-8 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
proj_parm.singam = atan(-cos(alpha)/(-sin(phi_0) * sin(alpha))) + lonz;
/*Equation 9-7 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
proj_parm.sinphi = asin(cos(phi_0) * sin(alpha));
/*If the keyword "alpha" is NOT found in the sentence then use 2points*/
} else {
/*Define Pole of oblique transformation from 2 points*/
phi_1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
phi_2 = pj_get_param_r<T, srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2);
lam_1 = pj_get_param_r<T, srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1);
lam_2 = pj_get_param_r<T, srs::spar::lon_2>(params, "lon_2", srs::dpar::lon_2);
/*Equation 9-1 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
proj_parm.singam = atan2(cos(phi_1) * sin(phi_2) * cos(lam_1) -
sin(phi_1) * cos(phi_2) * cos(lam_2),
sin(phi_1) * cos(phi_2) * sin(lam_2) -
cos(phi_1) * sin(phi_2) * sin(lam_1) );
/* take care of P->lam0 wrap-around when +lam_1=-90*/
if (lam_1 == -half_pi)
proj_parm.singam = -proj_parm.singam;
/*Equation 9-2 page 80 (http://pubs.usgs.gov/pp/1395/report.pdf)*/
proj_parm.sinphi = atan(-cos(proj_parm.singam - lam_1) / tan(phi_1));
}
par.lam0 = proj_parm.singam + half_pi;
proj_parm.cosphi = cos(proj_parm.sinphi);
proj_parm.sinphi = sin(proj_parm.sinphi);
proj_parm.cosgam = cos(proj_parm.singam);
proj_parm.singam = sin(proj_parm.singam);
par.es = 0.;
}
}} // namespace detail::ocea
#endif // doxygen
/*!
\brief Oblique Cylindrical Equal Area projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
\par Projection parameters
- lonc: Longitude (only used if alpha (or gamma) is specified) (degrees)
- alpha: Alpha (degrees)
- lat_1: Latitude of first standard parallel (degrees)
- lat_2: Latitude of second standard parallel (degrees)
- lon_1 (degrees)
- lon_2 (degrees)
\par Example
\image html ex_ocea.gif
*/
template <typename T, typename Parameters>
struct ocea_spheroid : public detail::ocea::base_ocea_spheroid<T, Parameters>
{
template <typename Params>
inline ocea_spheroid(Params const& params, Parameters & par)
{
detail::ocea::setup_ocea(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_ocea, ocea_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(ocea_entry, ocea_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(ocea_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(ocea, ocea_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_OCEA_HPP