// 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_SCONICS_HPP
#define BOOST_GEOMETRY_PROJECTIONS_SCONICS_HPP
#include <boost/geometry/util/math.hpp>
#include <boost/math/special_functions/hypot.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 sconics
{
enum proj_type {
proj_euler = 0,
proj_murd1 = 1,
proj_murd2 = 2,
proj_murd3 = 3,
proj_pconic = 4,
proj_tissot = 5,
proj_vitk1 = 6
};
static const double epsilon10 = 1.e-10;
static const double epsilon = 1e-10;
template <typename T>
struct par_sconics
{
T n;
T rho_c;
T rho_0;
T sig;
T c1, c2;
proj_type type;
};
/* get common factors for simple conics */
template <typename Params, typename T>
inline int phi12(Params const& params, par_sconics<T>& proj_parm, T *del)
{
T p1, p2;
int err = 0;
if (!pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, p1) ||
!pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, p2)) {
err = -41;
} else {
//p1 = pj_get_param_r(par.params, "lat_1"); // set above
//p2 = pj_get_param_r(par.params, "lat_2"); // set above
*del = 0.5 * (p2 - p1);
proj_parm.sig = 0.5 * (p2 + p1);
err = (fabs(*del) < epsilon || fabs(proj_parm.sig) < epsilon) ? -42 : 0;
}
return err;
}
template <typename T, typename Parameters>
struct base_sconics_spheroid
{
par_sconics<T> m_proj_parm;
// FORWARD(s_forward) spheroid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& , T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T rho;
switch (this->m_proj_parm.type) {
case proj_murd2:
rho = this->m_proj_parm.rho_c + tan(this->m_proj_parm.sig - lp_lat);
break;
case proj_pconic:
rho = this->m_proj_parm.c2 * (this->m_proj_parm.c1 - tan(lp_lat - this->m_proj_parm.sig));
break;
default:
rho = this->m_proj_parm.rho_c - lp_lat;
break;
}
xy_x = rho * sin( lp_lon *= this->m_proj_parm.n );
xy_y = this->m_proj_parm.rho_0 - rho * cos(lp_lon);
}
// INVERSE(s_inverse) ellipsoid & 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 rho;
rho = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.rho_0 - xy_y);
if (this->m_proj_parm.n < 0.) {
rho = - rho;
xy_x = - xy_x;
xy_y = - xy_y;
}
lp_lon = atan2(xy_x, xy_y) / this->m_proj_parm.n;
switch (this->m_proj_parm.type) {
case proj_pconic:
lp_lat = atan(this->m_proj_parm.c1 - rho / this->m_proj_parm.c2) + this->m_proj_parm.sig;
break;
case proj_murd2:
lp_lat = this->m_proj_parm.sig - atan(rho - this->m_proj_parm.rho_c);
break;
default:
lp_lat = this->m_proj_parm.rho_c - rho;
}
}
static inline std::string get_name()
{
return "sconics_spheroid";
}
};
template <typename Params, typename Parameters, typename T>
inline void setup(Params const& params, Parameters& par, par_sconics<T>& proj_parm, proj_type type)
{
static const T half_pi = detail::half_pi<T>();
T del, cs;
int err;
proj_parm.type = type;
err = phi12(params, proj_parm, &del);
if(err)
BOOST_THROW_EXCEPTION( projection_exception(err) );
switch (proj_parm.type) {
case proj_tissot:
proj_parm.n = sin(proj_parm.sig);
cs = cos(del);
proj_parm.rho_c = proj_parm.n / cs + cs / proj_parm.n;
proj_parm.rho_0 = sqrt((proj_parm.rho_c - 2 * sin(par.phi0))/proj_parm.n);
break;
case proj_murd1:
proj_parm.rho_c = sin(del)/(del * tan(proj_parm.sig)) + proj_parm.sig;
proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
proj_parm.n = sin(proj_parm.sig);
break;
case proj_murd2:
proj_parm.rho_c = (cs = sqrt(cos(del))) / tan(proj_parm.sig);
proj_parm.rho_0 = proj_parm.rho_c + tan(proj_parm.sig - par.phi0);
proj_parm.n = sin(proj_parm.sig) * cs;
break;
case proj_murd3:
proj_parm.rho_c = del / (tan(proj_parm.sig) * tan(del)) + proj_parm.sig;
proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
proj_parm.n = sin(proj_parm.sig) * sin(del) * tan(del) / (del * del);
break;
case proj_euler:
proj_parm.n = sin(proj_parm.sig) * sin(del) / del;
del *= 0.5;
proj_parm.rho_c = del / (tan(del) * tan(proj_parm.sig)) + proj_parm.sig;
proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
break;
case proj_pconic:
proj_parm.n = sin(proj_parm.sig);
proj_parm.c2 = cos(del);
proj_parm.c1 = 1./tan(proj_parm.sig);
if (fabs(del = par.phi0 - proj_parm.sig) - epsilon10 >= half_pi)
BOOST_THROW_EXCEPTION( projection_exception(error_lat_0_half_pi_from_mean) );
proj_parm.rho_0 = proj_parm.c2 * (proj_parm.c1 - tan(del));
break;
case proj_vitk1:
proj_parm.n = (cs = tan(del)) * sin(proj_parm.sig) / del;
proj_parm.rho_c = del / (cs * tan(proj_parm.sig)) + proj_parm.sig;
proj_parm.rho_0 = proj_parm.rho_c - par.phi0;
break;
}
par.es = 0;
}
// Euler
template <typename Params, typename Parameters, typename T>
inline void setup_euler(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_euler);
}
// Tissot
template <typename Params, typename Parameters, typename T>
inline void setup_tissot(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_tissot);
}
// Murdoch I
template <typename Params, typename Parameters, typename T>
inline void setup_murd1(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_murd1);
}
// Murdoch II
template <typename Params, typename Parameters, typename T>
inline void setup_murd2(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_murd2);
}
// Murdoch III
template <typename Params, typename Parameters, typename T>
inline void setup_murd3(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_murd3);
}
// Perspective Conic
template <typename Params, typename Parameters, typename T>
inline void setup_pconic(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_pconic);
}
// Vitkovsky I
template <typename Params, typename Parameters, typename T>
inline void setup_vitk1(Params const& params, Parameters& par, par_sconics<T>& proj_parm)
{
setup(params, par, proj_parm, proj_vitk1);
}
}} // namespace detail::sconics
#endif // doxygen
/*!
\brief Tissot projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_tissot.gif
*/
template <typename T, typename Parameters>
struct tissot_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline tissot_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_tissot(params, par, this->m_proj_parm);
}
};
/*!
\brief Murdoch I projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_murd1.gif
*/
template <typename T, typename Parameters>
struct murd1_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline murd1_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_murd1(params, par, this->m_proj_parm);
}
};
/*!
\brief Murdoch II projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_murd2.gif
*/
template <typename T, typename Parameters>
struct murd2_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline murd2_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_murd2(params, par, this->m_proj_parm);
}
};
/*!
\brief Murdoch III projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_murd3.gif
*/
template <typename T, typename Parameters>
struct murd3_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline murd3_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_murd3(params, par, this->m_proj_parm);
}
};
/*!
\brief Euler projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_euler.gif
*/
template <typename T, typename Parameters>
struct euler_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline euler_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_euler(params, par, this->m_proj_parm);
}
};
/*!
\brief Perspective Conic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_pconic.gif
*/
template <typename T, typename Parameters>
struct pconic_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline pconic_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_pconic(params, par, this->m_proj_parm);
}
};
/*!
\brief Vitkovsky I projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Conic
- Spheroid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
\par Example
\image html ex_vitk1.gif
*/
template <typename T, typename Parameters>
struct vitk1_spheroid : public detail::sconics::base_sconics_spheroid<T, Parameters>
{
template <typename Params>
inline vitk1_spheroid(Params const& params, Parameters& par)
{
detail::sconics::setup_vitk1(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_euler, euler_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd1, murd1_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd2, murd2_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_murd3, murd3_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_pconic, pconic_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_tissot, tissot_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_vitk1, vitk1_spheroid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(euler_entry, euler_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd1_entry, murd1_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd2_entry, murd2_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(murd3_entry, murd3_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(pconic_entry, pconic_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(tissot_entry, tissot_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(vitk1_entry, vitk1_spheroid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(sconics_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(euler, euler_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd1, murd1_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd2, murd2_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(murd3, murd3_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(pconic, pconic_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(tissot, tissot_entry)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(vitk1, vitk1_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_SCONICS_HPP