331 lines
13 KiB
C++
331 lines
13 KiB
C++
// 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_NSPER_HPP
|
|
#define BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
|
|
|
|
#include <boost/config.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>
|
|
|
|
#include <boost/geometry/util/math.hpp>
|
|
|
|
#include <boost/math/special_functions/hypot.hpp>
|
|
|
|
namespace boost { namespace geometry
|
|
{
|
|
|
|
namespace projections
|
|
{
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail { namespace nsper
|
|
{
|
|
|
|
static const double epsilon10 = 1.e-10;
|
|
enum mode_type {
|
|
n_pole = 0,
|
|
s_pole = 1,
|
|
equit = 2,
|
|
obliq = 3
|
|
};
|
|
|
|
template <typename T>
|
|
struct par_nsper
|
|
{
|
|
T height;
|
|
T sinph0;
|
|
T cosph0;
|
|
T p;
|
|
T rp;
|
|
T pn1;
|
|
T pfact;
|
|
T h;
|
|
T cg;
|
|
T sg;
|
|
T sw;
|
|
T cw;
|
|
mode_type mode;
|
|
bool tilt;
|
|
};
|
|
|
|
template <typename T, typename Parameters>
|
|
struct base_nsper_spheroid
|
|
{
|
|
par_nsper<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
|
|
{
|
|
T coslam, cosphi, sinphi;
|
|
|
|
sinphi = sin(lp_lat);
|
|
cosphi = cos(lp_lat);
|
|
coslam = cos(lp_lon);
|
|
switch (this->m_proj_parm.mode) {
|
|
case obliq:
|
|
xy_y = this->m_proj_parm.sinph0 * sinphi + this->m_proj_parm.cosph0 * cosphi * coslam;
|
|
break;
|
|
case equit:
|
|
xy_y = cosphi * coslam;
|
|
break;
|
|
case s_pole:
|
|
xy_y = - sinphi;
|
|
break;
|
|
case n_pole:
|
|
xy_y = sinphi;
|
|
break;
|
|
}
|
|
if (xy_y < this->m_proj_parm.rp) {
|
|
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
|
|
}
|
|
xy_y = this->m_proj_parm.pn1 / (this->m_proj_parm.p - xy_y);
|
|
xy_x = xy_y * cosphi * sin(lp_lon);
|
|
switch (this->m_proj_parm.mode) {
|
|
case obliq:
|
|
xy_y *= (this->m_proj_parm.cosph0 * sinphi -
|
|
this->m_proj_parm.sinph0 * cosphi * coslam);
|
|
break;
|
|
case equit:
|
|
xy_y *= sinphi;
|
|
break;
|
|
case n_pole:
|
|
coslam = - coslam;
|
|
BOOST_FALLTHROUGH;
|
|
case s_pole:
|
|
xy_y *= cosphi * coslam;
|
|
break;
|
|
}
|
|
if (this->m_proj_parm.tilt) {
|
|
T yt, ba;
|
|
|
|
yt = xy_y * this->m_proj_parm.cg + xy_x * this->m_proj_parm.sg;
|
|
ba = 1. / (yt * this->m_proj_parm.sw * this->m_proj_parm.h + this->m_proj_parm.cw);
|
|
xy_x = (xy_x * this->m_proj_parm.cg - xy_y * this->m_proj_parm.sg) * this->m_proj_parm.cw * ba;
|
|
xy_y = yt * ba;
|
|
}
|
|
}
|
|
|
|
// INVERSE(s_inverse) spheroid
|
|
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
|
|
inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const
|
|
{
|
|
T rh, cosz, sinz;
|
|
|
|
if (this->m_proj_parm.tilt) {
|
|
T bm, bq, yt;
|
|
|
|
yt = 1./(this->m_proj_parm.pn1 - xy_y * this->m_proj_parm.sw);
|
|
bm = this->m_proj_parm.pn1 * xy_x * yt;
|
|
bq = this->m_proj_parm.pn1 * xy_y * this->m_proj_parm.cw * yt;
|
|
xy_x = bm * this->m_proj_parm.cg + bq * this->m_proj_parm.sg;
|
|
xy_y = bq * this->m_proj_parm.cg - bm * this->m_proj_parm.sg;
|
|
}
|
|
rh = boost::math::hypot(xy_x, xy_y);
|
|
if ((sinz = 1. - rh * rh * this->m_proj_parm.pfact) < 0.) {
|
|
BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) );
|
|
}
|
|
sinz = (this->m_proj_parm.p - sqrt(sinz)) / (this->m_proj_parm.pn1 / rh + rh / this->m_proj_parm.pn1);
|
|
cosz = sqrt(1. - sinz * sinz);
|
|
if (fabs(rh) <= epsilon10) {
|
|
lp_lon = 0.;
|
|
lp_lat = par.phi0;
|
|
} else {
|
|
switch (this->m_proj_parm.mode) {
|
|
case obliq:
|
|
lp_lat = asin(cosz * this->m_proj_parm.sinph0 + xy_y * sinz * this->m_proj_parm.cosph0 / rh);
|
|
xy_y = (cosz - this->m_proj_parm.sinph0 * sin(lp_lat)) * rh;
|
|
xy_x *= sinz * this->m_proj_parm.cosph0;
|
|
break;
|
|
case equit:
|
|
lp_lat = asin(xy_y * sinz / rh);
|
|
xy_y = cosz * rh;
|
|
xy_x *= sinz;
|
|
break;
|
|
case n_pole:
|
|
lp_lat = asin(cosz);
|
|
xy_y = -xy_y;
|
|
break;
|
|
case s_pole:
|
|
lp_lat = - asin(cosz);
|
|
break;
|
|
}
|
|
lp_lon = atan2(xy_x, xy_y);
|
|
}
|
|
}
|
|
|
|
static inline std::string get_name()
|
|
{
|
|
return "nsper_spheroid";
|
|
}
|
|
|
|
};
|
|
|
|
template <typename Params, typename Parameters, typename T>
|
|
inline void setup(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
|
|
{
|
|
proj_parm.height = pj_get_param_f<T, srs::spar::h>(params, "h", srs::dpar::h);
|
|
if (proj_parm.height <= 0.)
|
|
BOOST_THROW_EXCEPTION( projection_exception(error_h_less_than_zero) );
|
|
|
|
if (fabs(fabs(par.phi0) - geometry::math::half_pi<T>()) < epsilon10)
|
|
proj_parm.mode = par.phi0 < 0. ? s_pole : n_pole;
|
|
else if (fabs(par.phi0) < epsilon10)
|
|
proj_parm.mode = equit;
|
|
else {
|
|
proj_parm.mode = obliq;
|
|
proj_parm.sinph0 = sin(par.phi0);
|
|
proj_parm.cosph0 = cos(par.phi0);
|
|
}
|
|
proj_parm.pn1 = proj_parm.height / par.a; /* normalize by radius */
|
|
proj_parm.p = 1. + proj_parm.pn1;
|
|
proj_parm.rp = 1. / proj_parm.p;
|
|
proj_parm.h = 1. / proj_parm.pn1;
|
|
proj_parm.pfact = (proj_parm.p + 1.) * proj_parm.h;
|
|
par.es = 0.;
|
|
}
|
|
|
|
|
|
// Near-sided perspective
|
|
template <typename Params, typename Parameters, typename T>
|
|
inline void setup_nsper(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
|
|
{
|
|
proj_parm.tilt = false;
|
|
|
|
setup(params, par, proj_parm);
|
|
}
|
|
|
|
// Tilted perspective
|
|
template <typename Params, typename Parameters, typename T>
|
|
inline void setup_tpers(Params const& params, Parameters& par, par_nsper<T>& proj_parm)
|
|
{
|
|
T const omega = pj_get_param_r<T, srs::spar::tilt>(params, "tilt", srs::dpar::tilt);
|
|
T const gamma = pj_get_param_r<T, srs::spar::azi>(params, "azi", srs::dpar::azi);
|
|
proj_parm.tilt = true;
|
|
proj_parm.cg = cos(gamma); proj_parm.sg = sin(gamma);
|
|
proj_parm.cw = cos(omega); proj_parm.sw = sin(omega);
|
|
|
|
setup(params, par, proj_parm);
|
|
}
|
|
|
|
}} // namespace detail::nsper
|
|
#endif // doxygen
|
|
|
|
/*!
|
|
\brief Near-sided perspective projection
|
|
\ingroup projections
|
|
\tparam Geographic latlong point type
|
|
\tparam Cartesian xy point type
|
|
\tparam Parameters parameter type
|
|
\par Projection characteristics
|
|
- Azimuthal
|
|
- Spheroid
|
|
\par Projection parameters
|
|
- h: Height
|
|
\par Example
|
|
\image html ex_nsper.gif
|
|
*/
|
|
template <typename T, typename Parameters>
|
|
struct nsper_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
|
|
{
|
|
template <typename Params>
|
|
inline nsper_spheroid(Params const& params, Parameters & par)
|
|
{
|
|
detail::nsper::setup_nsper(params, par, this->m_proj_parm);
|
|
}
|
|
};
|
|
|
|
/*!
|
|
\brief Tilted perspective projection
|
|
\ingroup projections
|
|
\tparam Geographic latlong point type
|
|
\tparam Cartesian xy point type
|
|
\tparam Parameters parameter type
|
|
\par Projection characteristics
|
|
- Azimuthal
|
|
- Spheroid
|
|
\par Projection parameters
|
|
- tilt: Tilt, or Omega (real)
|
|
- azi: Azimuth (or Gamma) (real)
|
|
- h: Height
|
|
\par Example
|
|
\image html ex_tpers.gif
|
|
*/
|
|
template <typename T, typename Parameters>
|
|
struct tpers_spheroid : public detail::nsper::base_nsper_spheroid<T, Parameters>
|
|
{
|
|
template <typename Params>
|
|
inline tpers_spheroid(Params const& params, Parameters & par)
|
|
{
|
|
detail::nsper::setup_tpers(params, par, this->m_proj_parm);
|
|
}
|
|
};
|
|
|
|
#ifndef DOXYGEN_NO_DETAIL
|
|
namespace detail
|
|
{
|
|
|
|
// Static projection
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_nsper, nsper_spheroid)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_F(srs::spar::proj_tpers, tpers_spheroid)
|
|
|
|
// Factory entry(s)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nsper_entry, nsper_spheroid)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tpers_entry, tpers_spheroid)
|
|
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nsper_init)
|
|
{
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nsper, nsper_entry)
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tpers, tpers_entry)
|
|
}
|
|
|
|
} // namespace detail
|
|
#endif // doxygen
|
|
|
|
} // namespace projections
|
|
|
|
}} // namespace boost::geometry
|
|
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_NSPER_HPP
|
|
|