// 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_TPEQD_HPP
#define BOOST_GEOMETRY_PROJECTIONS_TPEQD_HPP
#include <boost/geometry/util/math.hpp>
#include <boost/math/special_functions/hypot.hpp>
#include <boost/geometry/srs/projections/impl/aasincos.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 tpeqd
{
template <typename T>
struct par_tpeqd
{
T cp1, sp1, cp2, sp2, ccs, cs, sc, r2z0, z02, dlam2;
T hz0, thz0, rhshz0, ca, sa, lp, lamc;
};
template <typename T, typename Parameters>
struct base_tpeqd_spheroid
{
par_tpeqd<T> m_proj_parm;
// FORWARD(s_forward) sphere
// 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
{
T t, z1, z2, dl1, dl2, sp, cp;
sp = sin(lp_lat);
cp = cos(lp_lat);
z1 = aacos(this->m_proj_parm.sp1 * sp + this->m_proj_parm.cp1 * cp * cos(dl1 = lp_lon + this->m_proj_parm.dlam2));
z2 = aacos(this->m_proj_parm.sp2 * sp + this->m_proj_parm.cp2 * cp * cos(dl2 = lp_lon - this->m_proj_parm.dlam2));
z1 *= z1;
z2 *= z2;
xy_x = this->m_proj_parm.r2z0 * (t = z1 - z2);
t = this->m_proj_parm.z02 - t;
xy_y = this->m_proj_parm.r2z0 * asqrt(4. * this->m_proj_parm.z02 * z2 - t * t);
if ((this->m_proj_parm.ccs * sp - cp * (this->m_proj_parm.cs * sin(dl1) - this->m_proj_parm.sc * sin(dl2))) < 0.)
xy_y = -xy_y;
}
// INVERSE(s_inverse) sphere
// 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 cz1, cz2, s, d, cp, sp;
cz1 = cos(boost::math::hypot(xy_y, xy_x + this->m_proj_parm.hz0));
cz2 = cos(boost::math::hypot(xy_y, xy_x - this->m_proj_parm.hz0));
s = cz1 + cz2;
d = cz1 - cz2;
lp_lon = - atan2(d, (s * this->m_proj_parm.thz0));
lp_lat = aacos(boost::math::hypot(this->m_proj_parm.thz0 * s, d) * this->m_proj_parm.rhshz0);
if ( xy_y < 0. )
lp_lat = - lp_lat;
/* lam--phi now in system relative to P1--P2 base equator */
sp = sin(lp_lat);
cp = cos(lp_lat);
lp_lat = aasin(this->m_proj_parm.sa * sp + this->m_proj_parm.ca * cp * (s = cos(lp_lon -= this->m_proj_parm.lp)));
lp_lon = atan2(cp * sin(lp_lon), this->m_proj_parm.sa * cp * s - this->m_proj_parm.ca * sp) + this->m_proj_parm.lamc;
}
static inline std::string get_name()
{
return "tpeqd_spheroid";
}
};
// Two Point Equidistant
template <typename Params, typename Parameters, typename T>
inline void setup_tpeqd(Params const& params, Parameters& par, par_tpeqd<T>& proj_parm)
{
T lam_1, lam_2, phi_1, phi_2, A12, pp;
/* get control point locations */
phi_1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1);
lam_1 = pj_get_param_r<T, srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1);
phi_2 = pj_get_param_r<T, srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2);
lam_2 = pj_get_param_r<T, srs::spar::lon_2>(params, "lon_2", srs::dpar::lon_2);
if (phi_1 == phi_2 && lam_1 == lam_2)
BOOST_THROW_EXCEPTION( projection_exception(error_control_point_no_dist) );
par.lam0 = adjlon(0.5 * (lam_1 + lam_2));
proj_parm.dlam2 = adjlon(lam_2 - lam_1);
proj_parm.cp1 = cos(phi_1);
proj_parm.cp2 = cos(phi_2);
proj_parm.sp1 = sin(phi_1);
proj_parm.sp2 = sin(phi_2);
proj_parm.cs = proj_parm.cp1 * proj_parm.sp2;
proj_parm.sc = proj_parm.sp1 * proj_parm.cp2;
proj_parm.ccs = proj_parm.cp1 * proj_parm.cp2 * sin(proj_parm.dlam2);
proj_parm.z02 = aacos(proj_parm.sp1 * proj_parm.sp2 + proj_parm.cp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
proj_parm.hz0 = .5 * proj_parm.z02;
A12 = atan2(proj_parm.cp2 * sin(proj_parm.dlam2),
proj_parm.cp1 * proj_parm.sp2 - proj_parm.sp1 * proj_parm.cp2 * cos(proj_parm.dlam2));
proj_parm.ca = cos(pp = aasin(proj_parm.cp1 * sin(A12)));
proj_parm.sa = sin(pp);
proj_parm.lp = adjlon(atan2(proj_parm.cp1 * cos(A12), proj_parm.sp1) - proj_parm.hz0);
proj_parm.dlam2 *= .5;
proj_parm.lamc = geometry::math::half_pi<T>() - atan2(sin(A12) * proj_parm.sp1, cos(A12)) - proj_parm.dlam2;
proj_parm.thz0 = tan(proj_parm.hz0);
proj_parm.rhshz0 = .5 / sin(proj_parm.hz0);
proj_parm.r2z0 = 0.5 / proj_parm.z02;
proj_parm.z02 *= proj_parm.z02;
par.es = 0.;
}
}} // namespace detail::tpeqd
#endif // doxygen
/*!
\brief Two Point Equidistant projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Miscellaneous
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel (degrees)
- lon_1 (degrees)
- lat_2: Latitude of second standard parallel (degrees)
- lon_2 (degrees)
\par Example
\image html ex_tpeqd.gif
*/
template <typename T, typename Parameters>
struct tpeqd_spheroid : public detail::tpeqd::base_tpeqd_spheroid<T, Parameters>
{
template <typename Params>
inline tpeqd_spheroid(Params const& params, Parameters & par)
{
detail::tpeqd::setup_tpeqd(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_tpeqd, tpeqd_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tpeqd_entry, tpeqd_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(tpeqd_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tpeqd, tpeqd_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_TPEQD_HPP