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// 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:
// Purpose: Implementation of the nzmg (New Zealand Map Grid) projection.
// Very loosely based upon DMA code by Bradford W. Drew
// Author: Gerald Evenden
// Copyright (c) 1995, Gerald Evenden
// 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_NZMG_HPP
#define BOOST_GEOMETRY_PROJECTIONS_NZMG_HPP
#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/pj_zpoly1.hpp>
namespace boost { namespace geometry
{
namespace projections
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace nzmg
{
static const double epsilon = 1e-10;
static const int Nbf = 5;
static const int Ntpsi = 9;
static const int Ntphi = 8;
template <typename T>
inline T sec5_to_rad() { return 0.4848136811095359935899141023; }
template <typename T>
inline T rad_to_sec5() { return 2.062648062470963551564733573; }
template <typename T>
inline const pj_complex<T> * bf()
{
static const pj_complex<T> result[] = {
{.7557853228, 0.0},
{.249204646, .003371507},
{-.001541739, .041058560},
{-.10162907, .01727609},
{-.26623489, -.36249218},
{-.6870983, -1.1651967}
};
return result;
}
template <typename T>
inline const T * tphi()
{
static const T result[] = { 1.5627014243, .5185406398, -.03333098,
-.1052906, -.0368594, .007317,
.01220, .00394, -.0013 };
return result;
}
template <typename T>
inline const T * tpsi()
{
static const T result[] = { .6399175073, -.1358797613, .063294409, -.02526853, .0117879,
-.0055161, .0026906, -.001333, .00067, -.00034 };
return result;
}
template <typename T, typename Parameters>
struct base_nzmg_ellipsoid
{
// 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 lp_lat, T& xy_x, T& xy_y) const
{
static const T rad_to_sec5 = nzmg::rad_to_sec5<T>();
pj_complex<T> p;
const T * C;
int i;
lp_lat = (lp_lat - par.phi0) * rad_to_sec5;
for (p.r = *(C = tpsi<T>() + (i = Ntpsi)); i ; --i)
p.r = *--C + lp_lat * p.r;
p.r *= lp_lat;
p.i = lp_lon;
p = pj_zpoly1(p, bf<T>(), Nbf);
xy_x = p.i;
xy_y = p.r;
}
// 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
{
static const T sec5_to_rad = nzmg::sec5_to_rad<T>();
int nn, i;
pj_complex<T> p, f, fp, dp;
T den;
const T* C;
p.r = xy_y;
p.i = xy_x;
for (nn = 20; nn ;--nn) {
f = pj_zpolyd1(p, bf<T>(), Nbf, &fp);
f.r -= xy_y;
f.i -= xy_x;
den = fp.r * fp.r + fp.i * fp.i;
p.r += dp.r = -(f.r * fp.r + f.i * fp.i) / den;
p.i += dp.i = -(f.i * fp.r - f.r * fp.i) / den;
if ((fabs(dp.r) + fabs(dp.i)) <= epsilon)
break;
}
if (nn) {
lp_lon = p.i;
for (lp_lat = *(C = tphi<T>() + (i = Ntphi)); i ; --i)
lp_lat = *--C + p.r * lp_lat;
lp_lat = par.phi0 + p.r * lp_lat * sec5_to_rad;
} else
lp_lon = lp_lat = HUGE_VAL;
}
static inline std::string get_name()
{
return "nzmg_ellipsoid";
}
};
// New Zealand Map Grid
template <typename Parameters>
inline void setup_nzmg(Parameters& par)
{
typedef typename Parameters::type calc_t;
static const calc_t d2r = geometry::math::d2r<calc_t>();
/* force to International major axis */
par.a = 6378388.0;
par.ra = 1. / par.a;
par.lam0 = 173. * d2r;
par.phi0 = -41. * d2r;
par.x0 = 2510000.;
par.y0 = 6023150.;
}
}} // namespace detail::nzmg
#endif // doxygen
/*!
\brief New Zealand Map Grid projection
\ingroup projections
\tparam Geographic latlong point type
\tparam Cartesian xy point type
\tparam Parameters parameter type
\par Projection characteristics
- Fixed Earth
\par Example
\image html ex_nzmg.gif
*/
template <typename T, typename Parameters>
struct nzmg_ellipsoid : public detail::nzmg::base_nzmg_ellipsoid<T, Parameters>
{
template <typename Params>
inline nzmg_ellipsoid(Params const& , Parameters & par)
{
detail::nzmg::setup_nzmg(par);
}
};
#ifndef DOXYGEN_NO_DETAIL
namespace detail
{
// Static projection
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nzmg, nzmg_ellipsoid)
// Factory entry(s)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nzmg_entry, nzmg_ellipsoid)
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nzmg_init)
{
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nzmg, nzmg_entry)
}
} // namespace detail
#endif // doxygen
} // namespace projections
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_PROJECTIONS_NZMG_HPP
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