boost/geometry/srs/projections/proj/tmerc.hpp
#ifndef BOOST_GEOMETRY_PROJECTIONS_TMERC_HPP
#define BOOST_GEOMETRY_PROJECTIONS_TMERC_HPP
// Boost.Geometry - extensions-gis-projections (based on PROJ4)
// This file is automatically generated. DO NOT EDIT.
// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
// This file was modified by Oracle on 2017.
// Modifications copyright (c) 2017, 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: 4.9.1
// 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.
#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/projects.hpp>
#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
#include <boost/geometry/srs/projections/impl/function_overloads.hpp>
#include <boost/geometry/srs/projections/impl/pj_mlfn.hpp>
namespace boost { namespace geometry
{
namespace srs { namespace par4
{
struct tmerc {};
struct utm {};
}} //namespace srs::par4
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace tmerc
{
static const double EPS10 = 1.e-10;
//static const double FC1 = 1.;
//static const double FC2 = .5;
//static const double FC3 = .16666666666666666666;
//static const double FC4 = .08333333333333333333;
//static const double FC5 = .05;
//static const double FC6 = .03333333333333333333;
//static const double FC7 = .02380952380952380952;
//static const double FC8 = .01785714285714285714;
template <typename T>
inline T FC1() { return 1.; }
template <typename T>
inline T FC2() { return .5; }
template <typename T>
inline T FC3() { return .16666666666666666666666666666666666666; }
template <typename T>
inline T FC4() { return .08333333333333333333333333333333333333; }
template <typename T>
inline T FC5() { return .05; }
template <typename T>
inline T FC6() { return .03333333333333333333333333333333333333; }
template <typename T>
inline T FC7() { return .02380952380952380952380952380952380952; }
template <typename T>
inline T FC8() { return .01785714285714285714285714285714285714; }
template <typename T>
struct par_tmerc
{
T esp;
T ml0;
T en[EN_SIZE];
};
// template class, using CRTP to implement forward/inverse
template <typename CalculationType, typename Parameters>
struct base_tmerc_ellipsoid : public base_t_fi<base_tmerc_ellipsoid<CalculationType, Parameters>,
CalculationType, Parameters>
{
typedef CalculationType geographic_type;
typedef CalculationType cartesian_type;
par_tmerc<CalculationType> m_proj_parm;
inline base_tmerc_ellipsoid(const Parameters& par)
: base_t_fi<base_tmerc_ellipsoid<CalculationType, Parameters>,
CalculationType, Parameters>(*this, par) {}
// FORWARD(e_forward) ellipse
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
{
static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
static const CalculationType FC1 = tmerc::FC1<CalculationType>();
static const CalculationType FC2 = tmerc::FC2<CalculationType>();
static const CalculationType FC3 = tmerc::FC3<CalculationType>();
static const CalculationType FC4 = tmerc::FC4<CalculationType>();
static const CalculationType FC5 = tmerc::FC5<CalculationType>();
static const CalculationType FC6 = tmerc::FC6<CalculationType>();
static const CalculationType FC7 = tmerc::FC7<CalculationType>();
static const CalculationType FC8 = tmerc::FC8<CalculationType>();
CalculationType al, als, n, cosphi, sinphi, t;
/*
* Fail if our longitude is more than 90 degrees from the
* central meridian since the results are essentially garbage.
* Is error -20 really an appropriate return value?
*
* http://trac.osgeo.org/proj/ticket/5
*/
if( lp_lon < -HALFPI || lp_lon > HALFPI )
{
xy_x = HUGE_VAL;
xy_y = HUGE_VAL;
BOOST_THROW_EXCEPTION( projection_exception(-14) );
return;
}
sinphi = sin(lp_lat);
cosphi = cos(lp_lat);
t = fabs(cosphi) > 1e-10 ? sinphi/cosphi : 0.;
t *= t;
al = cosphi * lp_lon;
als = al * al;
al /= sqrt(1. - this->m_par.es * sinphi * sinphi);
n = this->m_proj_parm.esp * cosphi * cosphi;
xy_x = this->m_par.k0 * al * (FC1 +
FC3 * als * (1. - t + n +
FC5 * als * (5. + t * (t - 18.) + n * (14. - 58. * t)
+ FC7 * als * (61. + t * ( t * (179. - t) - 479. ) )
)));
xy_y = this->m_par.k0 * (pj_mlfn(lp_lat, sinphi, cosphi, this->m_proj_parm.en) - this->m_proj_parm.ml0 +
sinphi * al * lp_lon * FC2 * ( 1. +
FC4 * als * (5. - t + n * (9. + 4. * n) +
FC6 * als * (61. + t * (t - 58.) + n * (270. - 330 * t)
+ FC8 * als * (1385. + t * ( t * (543. - t) - 3111.) )
))));
}
// INVERSE(e_inverse) ellipsoid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
{
static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
static const CalculationType FC1 = tmerc::FC1<CalculationType>();
static const CalculationType FC2 = tmerc::FC2<CalculationType>();
static const CalculationType FC3 = tmerc::FC3<CalculationType>();
static const CalculationType FC4 = tmerc::FC4<CalculationType>();
static const CalculationType FC5 = tmerc::FC5<CalculationType>();
static const CalculationType FC6 = tmerc::FC6<CalculationType>();
static const CalculationType FC7 = tmerc::FC7<CalculationType>();
static const CalculationType FC8 = tmerc::FC8<CalculationType>();
CalculationType n, con, cosphi, d, ds, sinphi, t;
lp_lat = pj_inv_mlfn(this->m_proj_parm.ml0 + xy_y / this->m_par.k0, this->m_par.es, this->m_proj_parm.en);
if (fabs(lp_lat) >= HALFPI) {
lp_lat = xy_y < 0. ? -HALFPI : HALFPI;
lp_lon = 0.;
} else {
sinphi = sin(lp_lat);
cosphi = cos(lp_lat);
t = fabs(cosphi) > 1e-10 ? sinphi/cosphi : 0.;
n = this->m_proj_parm.esp * cosphi * cosphi;
d = xy_x * sqrt(con = 1. - this->m_par.es * sinphi * sinphi) / this->m_par.k0;
con *= t;
t *= t;
ds = d * d;
lp_lat -= (con * ds / (1.-this->m_par.es)) * FC2 * (1. -
ds * FC4 * (5. + t * (3. - 9. * n) + n * (1. - 4 * n) -
ds * FC6 * (61. + t * (90. - 252. * n +
45. * t) + 46. * n
- ds * FC8 * (1385. + t * (3633. + t * (4095. + 1574. * t)) )
)));
lp_lon = d*(FC1 -
ds*FC3*( 1. + 2.*t + n -
ds*FC5*(5. + t*(28. + 24.*t + 8.*n) + 6.*n
- ds * FC7 * (61. + t * (662. + t * (1320. + 720. * t)) )
))) / cosphi;
}
}
static inline std::string get_name()
{
return "tmerc_ellipsoid";
}
};
// template class, using CRTP to implement forward/inverse
template <typename CalculationType, typename Parameters>
struct base_tmerc_spheroid : public base_t_fi<base_tmerc_spheroid<CalculationType, Parameters>,
CalculationType, Parameters>
{
typedef CalculationType geographic_type;
typedef CalculationType cartesian_type;
par_tmerc<CalculationType> m_proj_parm;
inline base_tmerc_spheroid(const Parameters& par)
: base_t_fi<base_tmerc_spheroid<CalculationType, Parameters>,
CalculationType, Parameters>(*this, par) {}
// FORWARD(s_forward) sphere
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const
{
static const CalculationType HALFPI = detail::HALFPI<CalculationType>();
CalculationType b, cosphi;
/*
* Fail if our longitude is more than 90 degrees from the
* central meridian since the results are essentially garbage.
* Is error -20 really an appropriate return value?
*
* http://trac.osgeo.org/proj/ticket/5
*/
if( lp_lon < -HALFPI || lp_lon > HALFPI )
{
xy_x = HUGE_VAL;
xy_y = HUGE_VAL;
BOOST_THROW_EXCEPTION( projection_exception(-14) );
return;
}
cosphi = cos(lp_lat);
b = cosphi * sin(lp_lon);
if (fabs(fabs(b) - 1.) <= EPS10)
BOOST_THROW_EXCEPTION( projection_exception(-20) );
xy_x = this->m_proj_parm.ml0 * log((1. + b) / (1. - b));
xy_y = cosphi * cos(lp_lon) / sqrt(1. - b * b);
b = fabs( xy_y );
if (b >= 1.) {
if ((b - 1.) > EPS10)
BOOST_THROW_EXCEPTION( projection_exception(-20) );
else xy_y = 0.;
} else
xy_y = acos(xy_y);
if (lp_lat < 0.)
xy_y = -xy_y;
xy_y = this->m_proj_parm.esp * (xy_y - this->m_par.phi0);
}
// INVERSE(s_inverse) sphere
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const
{
CalculationType h, g;
h = exp(xy_x / this->m_proj_parm.esp);
g = .5 * (h - 1. / h);
h = cos(this->m_par.phi0 + xy_y / this->m_proj_parm.esp);
lp_lat = asin(sqrt((1. - h * h) / (1. + g * g)));
if (xy_y < 0.) lp_lat = -lp_lat;
lp_lon = (g || h) ? atan2(g, h) : 0.;
}
static inline std::string get_name()
{
return "tmerc_spheroid";
}
};
template <typename Parameters, typename T>
inline void setup(Parameters& par, par_tmerc<T>& proj_parm) /* general initialization */
{
if (par.es) {
if (!pj_enfn(par.es, proj_parm.en))
BOOST_THROW_EXCEPTION( projection_exception(0) );
proj_parm.ml0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en);
proj_parm.esp = par.es / (1. - par.es);
} else {
proj_parm.esp = par.k0;
proj_parm.ml0 = .5 * proj_parm.esp;
}
}
// Transverse Mercator
template <typename Parameters, typename T>
inline void setup_tmerc(Parameters& par, par_tmerc<T>& proj_parm)
{
setup(par, proj_parm);
}
// Universal Transverse Mercator (UTM)
template <typename Parameters, typename T>
inline void setup_utm(Parameters& par, par_tmerc<T>& proj_parm)
{
static const T ONEPI = detail::ONEPI<T>();
int zone;
par.y0 = pj_param(par.params, "bsouth").i ? 10000000. : 0.;
par.x0 = 500000.;
if (pj_param(par.params, "tzone").i) /* zone input ? */
if ((zone = pj_param(par.params, "izone").i) > 0 && zone <= 60)
--zone;
else
BOOST_THROW_EXCEPTION( projection_exception(-35) );
else /* nearest central meridian input */
if ((zone = int_floor((adjlon(par.lam0) + ONEPI) * 30. / ONEPI)) < 0)
zone = 0;
else if (zone >= 60)
zone = 59;
par.lam0 = (zone + .5) * ONEPI / 30. - ONEPI;
par.k0 = 0.9996;
par.phi0 = 0.;
setup(par, proj_parm);
}
}} // namespace detail::tmerc
#endif // doxygen
/*!
\brief Transverse Mercator projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
- Ellipsoid
\par Example
\image html ex_tmerc.gif
*/
template <typename CalculationType, typename Parameters>
struct tmerc_ellipsoid : public detail::tmerc::base_tmerc_ellipsoid<CalculationType, Parameters>
{
inline tmerc_ellipsoid(const Parameters& par) : detail::tmerc::base_tmerc_ellipsoid<CalculationType, Parameters>(par)
{
detail::tmerc::setup_tmerc(this->m_par, this->m_proj_parm);
}
};
/*!
\brief Transverse Mercator projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Cylindrical
- Spheroid
- Ellipsoid
\par Example
\image html ex_tmerc.gif
*/
template <typename CalculationType, typename Parameters>
struct tmerc_spheroid : public detail::tmerc::base_tmerc_spheroid<CalculationType, Parameters>
{
inline tmerc_spheroid(const Parameters& par) : detail::tmerc::base_tmerc_spheroid<CalculationType, Parameters>(par)
{
detail::tmerc::setup_tmerc(this->m_par, this->m_proj_parm);
}
};
/*!
\brief Universal Transverse Mercator (UTM) 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
- zone: UTM Zone (integer)
- south: Denotes southern hemisphere UTM zone (boolean)
\par Example
\image html ex_utm.gif
*/
template <typename CalculationType, typename Parameters>
struct utm_ellipsoid : public detail::tmerc::base_tmerc_ellipsoid<CalculationType, Parameters>
{
inline utm_ellipsoid(const Parameters& par) : detail::tmerc::base_tmerc_ellipsoid<CalculationType, Parameters>(par)
{
detail::tmerc::setup_utm(this->m_par, this->m_proj_parm);
}
};
/*!
\brief Universal Transverse Mercator (UTM) 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
- zone: UTM Zone (integer)
- south: Denotes southern hemisphere UTM zone (boolean)
\par Example
\image html ex_utm.gif
*/
template <typename CalculationType, typename Parameters>
struct utm_spheroid : public detail::tmerc::base_tmerc_spheroid<CalculationType, Parameters>
{
inline utm_spheroid(const Parameters& par) : detail::tmerc::base_tmerc_spheroid<CalculationType, Parameters>(par)
{
detail::tmerc::setup_utm(this->m_par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::tmerc, tmerc_spheroid, tmerc_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::utm, utm_spheroid, utm_ellipsoid)
// Factory entry(s) - dynamic projection
template <typename CalculationType, typename Parameters>
class tmerc_entry : public detail::factory_entry<CalculationType, Parameters>
{
public :
virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
{
if (par.es)
return new base_v_fi<tmerc_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
else
return new base_v_fi<tmerc_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
}
};
template <typename CalculationType, typename Parameters>
class utm_entry : public detail::factory_entry<CalculationType, Parameters>
{
public :
virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const
{
if (par.es)
return new base_v_fi<utm_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par);
else
return new base_v_fi<utm_spheroid<CalculationType, Parameters>, CalculationType, Parameters>(par);
}
};
template <typename CalculationType, typename Parameters>
inline void tmerc_init(detail::base_factory<CalculationType, Parameters>& factory)
{
factory.add_to_factory("tmerc", new tmerc_entry<CalculationType, Parameters>);
factory.add_to_factory("utm", new utm_entry<CalculationType, Parameters>);
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_TMERC_HPP