// 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_IMW_P_HPP
#define BOOST_GEOMETRY_PROJECTIONS_IMW_P_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_mlfn.hpp>
#include <boost/geometry/srs/projections/impl/pj_param.hpp>
#include <boost/geometry/srs/projections/impl/projects.hpp>
#include <boost/geometry/util/math.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace imw_p
{
static const double tolerance = 1e-10;
static const double epsilon = 1e-10;
template <typename T>
struct point_xy { T x, y; }; // specific for IMW_P
enum mode_type {
none_is_zero = 0, /* phi_1 and phi_2 != 0 */
phi_1_is_zero = 1, /* phi_1 = 0 */
phi_2_is_zero = -1 /* phi_2 = 0 */
};
template <typename T>
struct par_imw_p
{
T P, Pp, Q, Qp, R_1, R_2, sphi_1, sphi_2, C2;
T phi_1, phi_2, lam_1;
detail::en<T> en;
mode_type mode;
};
template <typename Params, typename T>
inline int phi12(Params const& params,
par_imw_p<T> & proj_parm, T *del, T *sig)
{
int err = 0;
if (!pj_param_r<srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1, proj_parm.phi_1) ||
!pj_param_r<srs::spar::lat_2>(params, "lat_2", srs::dpar::lat_2, proj_parm.phi_2)) {
err = -41;
} else {
//proj_parm.phi_1 = pj_get_param_r(par.params, "lat_1"); // set above
//proj_parm.phi_2 = pj_get_param_r(par.params, "lat_2"); // set above
*del = 0.5 * (proj_parm.phi_2 - proj_parm.phi_1);
*sig = 0.5 * (proj_parm.phi_2 + proj_parm.phi_1);
err = (fabs(*del) < epsilon || fabs(*sig) < epsilon) ? -42 : 0;
}
return err;
}
template <typename Parameters, typename T>
inline point_xy<T> loc_for(T const& lp_lam, T const& lp_phi,
Parameters const& par,
par_imw_p<T> const& proj_parm,
T *yc)
{
point_xy<T> xy;
if (lp_phi == 0.0) {
xy.x = lp_lam;
xy.y = 0.;
} else {
T xa, ya, xb, yb, xc, D, B, m, sp, t, R, C;
sp = sin(lp_phi);
m = pj_mlfn(lp_phi, sp, cos(lp_phi), proj_parm.en);
xa = proj_parm.Pp + proj_parm.Qp * m;
ya = proj_parm.P + proj_parm.Q * m;
R = 1. / (tan(lp_phi) * sqrt(1. - par.es * sp * sp));
C = sqrt(R * R - xa * xa);
if (lp_phi < 0.) C = - C;
C += ya - R;
if (proj_parm.mode == phi_2_is_zero) {
xb = lp_lam;
yb = proj_parm.C2;
} else {
t = lp_lam * proj_parm.sphi_2;
xb = proj_parm.R_2 * sin(t);
yb = proj_parm.C2 + proj_parm.R_2 * (1. - cos(t));
}
if (proj_parm.mode == phi_1_is_zero) {
xc = lp_lam;
*yc = 0.;
} else {
t = lp_lam * proj_parm.sphi_1;
xc = proj_parm.R_1 * sin(t);
*yc = proj_parm.R_1 * (1. - cos(t));
}
D = (xb - xc)/(yb - *yc);
B = xc + D * (C + R - *yc);
xy.x = D * sqrt(R * R * (1 + D * D) - B * B);
if (lp_phi > 0)
xy.x = - xy.x;
xy.x = (B + xy.x) / (1. + D * D);
xy.y = sqrt(R * R - xy.x * xy.x);
if (lp_phi > 0)
xy.y = - xy.y;
xy.y += C + R;
}
return (xy);
}
template <typename Parameters, typename T>
inline void xy(Parameters const& par, par_imw_p<T> const& proj_parm,
T const& phi,
T *x, T *y, T *sp, T *R)
{
T F;
*sp = sin(phi);
*R = 1./(tan(phi) * sqrt(1. - par.es * *sp * *sp ));
F = proj_parm.lam_1 * *sp;
*y = *R * (1 - cos(F));
*x = *R * sin(F);
}
template <typename T, typename Parameters>
struct base_imw_p_ellipsoid
{
par_imw_p<T> m_proj_parm;
// FORWARD(e_forward) ellipsoid
// Project coordinates from geographic (lon, lat) to cartesian (x, y)
inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const
{
T yc = 0;
point_xy<T> xy = loc_for(lp_lon, lp_lat, par, m_proj_parm, &yc);
xy_x = xy.x; xy_y = xy.y;
}
// INVERSE(e_inverse) ellipsoid
// Project coordinates from cartesian (x, y) to geographic (lon, lat)
inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
{
point_xy<T> t;
T yc = 0.0;
int i = 0;
const int n_max_iter = 1000; /* Arbitrarily choosen number... */
lp_lat = this->m_proj_parm.phi_2;
lp_lon = xy_x / cos(lp_lat);
do {
t = loc_for(lp_lon, lp_lat, par, m_proj_parm, &yc);
lp_lat = ((lp_lat - this->m_proj_parm.phi_1) * (xy_y - yc) / (t.y - yc)) + this->m_proj_parm.phi_1;
lp_lon = lp_lon * xy_x / t.x;
i++;
} while (i < n_max_iter &&
(fabs(t.x - xy_x) > tolerance || fabs(t.y - xy_y) > tolerance));
if( i == n_max_iter )
{
lp_lon = lp_lat = HUGE_VAL;
}
}
static inline std::string get_name()
{
return "imw_p_ellipsoid";
}
};
// International Map of the World Polyconic
template <typename Params, typename Parameters, typename T>
inline void setup_imw_p(Params const& params, Parameters const& par, par_imw_p<T>& proj_parm)
{
T del, sig, s, t, x1, x2, T2, y1, m1, m2, y2;
int err;
proj_parm.en = pj_enfn<T>(par.es);
if( (err = phi12(params, proj_parm, &del, &sig)) != 0)
BOOST_THROW_EXCEPTION( projection_exception(err) );
if (proj_parm.phi_2 < proj_parm.phi_1) { /* make sure proj_parm.phi_1 most southerly */
del = proj_parm.phi_1;
proj_parm.phi_1 = proj_parm.phi_2;
proj_parm.phi_2 = del;
}
if (pj_param_r<srs::spar::lon_1>(params, "lon_1", srs::dpar::lon_1, proj_parm.lam_1)) {
/* empty */
} else { /* use predefined based upon latitude */
sig = fabs(sig * geometry::math::r2d<T>());
if (sig <= 60) sig = 2.;
else if (sig <= 76) sig = 4.;
else sig = 8.;
proj_parm.lam_1 = sig * geometry::math::d2r<T>();
}
proj_parm.mode = none_is_zero;
if (proj_parm.phi_1 != 0.0)
xy(par, proj_parm, proj_parm.phi_1, &x1, &y1, &proj_parm.sphi_1, &proj_parm.R_1);
else {
proj_parm.mode = phi_1_is_zero;
y1 = 0.;
x1 = proj_parm.lam_1;
}
if (proj_parm.phi_2 != 0.0)
xy(par, proj_parm, proj_parm.phi_2, &x2, &T2, &proj_parm.sphi_2, &proj_parm.R_2);
else {
proj_parm.mode = phi_2_is_zero;
T2 = 0.;
x2 = proj_parm.lam_1;
}
m1 = pj_mlfn(proj_parm.phi_1, proj_parm.sphi_1, cos(proj_parm.phi_1), proj_parm.en);
m2 = pj_mlfn(proj_parm.phi_2, proj_parm.sphi_2, cos(proj_parm.phi_2), proj_parm.en);
t = m2 - m1;
s = x2 - x1;
y2 = sqrt(t * t - s * s) + y1;
proj_parm.C2 = y2 - T2;
t = 1. / t;
proj_parm.P = (m2 * y1 - m1 * y2) * t;
proj_parm.Q = (y2 - y1) * t;
proj_parm.Pp = (m2 * x1 - m1 * x2) * t;
proj_parm.Qp = (x2 - x1) * t;
}
}} // namespace detail::imw_p
#endif // doxygen
/*!
\brief International Map of the World Polyconic projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Mod. Polyconic
- Ellipsoid
\par Projection parameters
- lat_1: Latitude of first standard parallel
- lat_2: Latitude of second standard parallel
- lon_1 (degrees)
\par Example
\image html ex_imw_p.gif
*/
template <typename T, typename Parameters>
struct imw_p_ellipsoid : public detail::imw_p::base_imw_p_ellipsoid<T, Parameters>
{
template <typename Params>
inline imw_p_ellipsoid(Params const& params, Parameters const& par)
{
detail::imw_p::setup_imw_p(params, par, this->m_proj_parm);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_imw_p, imw_p_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(imw_p_entry, imw_p_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(imw_p_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(imw_p, imw_p_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_IMW_P_HPP