231 lines
8.5 KiB
C++
231 lines
8.5 KiB
C++
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// Boost.Geometry - gis-projections (based on PROJ4)
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// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands.
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// This file was modified by Oracle on 2017, 2018, 2019.
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// Modifications copyright (c) 2017-2019, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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// This file is converted from PROJ4, http://trac.osgeo.org/proj
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// PROJ4 is originally written by Gerald Evenden (then of the USGS)
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// PROJ4 is maintained by Frank Warmerdam
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// PROJ4 is converted to Boost.Geometry by Barend Gehrels
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// Last updated version of proj: 5.0.0
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// Original copyright notice:
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// Purpose: Implementation of the nzmg (New Zealand Map Grid) projection.
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// Very loosely based upon DMA code by Bradford W. Drew
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// Author: Gerald Evenden
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// Copyright (c) 1995, Gerald Evenden
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// Permission is hereby granted, free of charge, to any person obtaining a
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// copy of this software and associated documentation files (the "Software"),
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// to deal in the Software without restriction, including without limitation
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// the rights to use, copy, modify, merge, publish, distribute, sublicense,
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// and/or sell copies of the Software, and to permit persons to whom the
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// Software is furnished to do so, subject to the following conditions:
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// The above copyright notice and this permission notice shall be included
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// in all copies or substantial portions of the Software.
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// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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// DEALINGS IN THE SOFTWARE.
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#ifndef BOOST_GEOMETRY_PROJECTIONS_NZMG_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_NZMG_HPP
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#include <boost/geometry/util/math.hpp>
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#include <boost/geometry/srs/projections/impl/base_static.hpp>
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#include <boost/geometry/srs/projections/impl/base_dynamic.hpp>
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#include <boost/geometry/srs/projections/impl/projects.hpp>
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#include <boost/geometry/srs/projections/impl/factory_entry.hpp>
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#include <boost/geometry/srs/projections/impl/pj_zpoly1.hpp>
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namespace boost { namespace geometry
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{
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namespace projections
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace nzmg
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{
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static const double epsilon = 1e-10;
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static const int Nbf = 5;
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static const int Ntpsi = 9;
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static const int Ntphi = 8;
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template <typename T>
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inline T sec5_to_rad() { return 0.4848136811095359935899141023; }
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template <typename T>
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inline T rad_to_sec5() { return 2.062648062470963551564733573; }
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template <typename T>
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inline const pj_complex<T> * bf()
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{
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static const pj_complex<T> result[] = {
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{.7557853228, 0.0},
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{.249204646, .003371507},
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{-.001541739, .041058560},
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{-.10162907, .01727609},
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{-.26623489, -.36249218},
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{-.6870983, -1.1651967}
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};
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return result;
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}
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template <typename T>
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inline const T * tphi()
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{
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static const T result[] = { 1.5627014243, .5185406398, -.03333098,
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-.1052906, -.0368594, .007317,
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.01220, .00394, -.0013 };
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return result;
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}
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template <typename T>
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inline const T * tpsi()
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{
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static const T result[] = { .6399175073, -.1358797613, .063294409, -.02526853, .0117879,
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-.0055161, .0026906, -.001333, .00067, -.00034 };
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return result;
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}
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template <typename T, typename Parameters>
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struct base_nzmg_ellipsoid
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{
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// FORWARD(e_forward) ellipsoid
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// Project coordinates from geographic (lon, lat) to cartesian (x, y)
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inline void fwd(Parameters const& par, T const& lp_lon, T lp_lat, T& xy_x, T& xy_y) const
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{
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static const T rad_to_sec5 = nzmg::rad_to_sec5<T>();
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pj_complex<T> p;
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const T * C;
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int i;
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lp_lat = (lp_lat - par.phi0) * rad_to_sec5;
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for (p.r = *(C = tpsi<T>() + (i = Ntpsi)); i ; --i)
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p.r = *--C + lp_lat * p.r;
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p.r *= lp_lat;
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p.i = lp_lon;
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p = pj_zpoly1(p, bf<T>(), Nbf);
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xy_x = p.i;
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xy_y = p.r;
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}
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// INVERSE(e_inverse) ellipsoid
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// Project coordinates from cartesian (x, y) to geographic (lon, lat)
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inline void inv(Parameters const& par, T const& xy_x, T const& xy_y, T& lp_lon, T& lp_lat) const
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{
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static const T sec5_to_rad = nzmg::sec5_to_rad<T>();
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int nn, i;
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pj_complex<T> p, f, fp, dp;
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T den;
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const T* C;
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p.r = xy_y;
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p.i = xy_x;
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for (nn = 20; nn ;--nn) {
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f = pj_zpolyd1(p, bf<T>(), Nbf, &fp);
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f.r -= xy_y;
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f.i -= xy_x;
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den = fp.r * fp.r + fp.i * fp.i;
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p.r += dp.r = -(f.r * fp.r + f.i * fp.i) / den;
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p.i += dp.i = -(f.i * fp.r - f.r * fp.i) / den;
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if ((fabs(dp.r) + fabs(dp.i)) <= epsilon)
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break;
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}
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if (nn) {
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lp_lon = p.i;
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for (lp_lat = *(C = tphi<T>() + (i = Ntphi)); i ; --i)
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lp_lat = *--C + p.r * lp_lat;
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lp_lat = par.phi0 + p.r * lp_lat * sec5_to_rad;
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} else
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lp_lon = lp_lat = HUGE_VAL;
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}
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static inline std::string get_name()
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{
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return "nzmg_ellipsoid";
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}
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};
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// New Zealand Map Grid
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template <typename Parameters>
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inline void setup_nzmg(Parameters& par)
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{
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typedef typename Parameters::type calc_t;
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static const calc_t d2r = geometry::math::d2r<calc_t>();
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/* force to International major axis */
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par.a = 6378388.0;
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par.ra = 1. / par.a;
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par.lam0 = 173. * d2r;
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par.phi0 = -41. * d2r;
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par.x0 = 2510000.;
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par.y0 = 6023150.;
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}
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}} // namespace detail::nzmg
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#endif // doxygen
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/*!
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\brief New Zealand Map Grid projection
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\ingroup projections
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\tparam Geographic latlong point type
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\tparam Cartesian xy point type
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\tparam Parameters parameter type
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\par Projection characteristics
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- Fixed Earth
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\par Example
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\image html ex_nzmg.gif
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*/
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template <typename T, typename Parameters>
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struct nzmg_ellipsoid : public detail::nzmg::base_nzmg_ellipsoid<T, Parameters>
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{
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template <typename Params>
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inline nzmg_ellipsoid(Params const& , Parameters & par)
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{
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detail::nzmg::setup_nzmg(par);
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}
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};
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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// Static projection
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_nzmg, nzmg_ellipsoid)
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// Factory entry(s)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(nzmg_entry, nzmg_ellipsoid)
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(nzmg_init)
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{
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BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(nzmg, nzmg_entry)
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}
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} // namespace detail
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#endif // doxygen
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} // namespace projections
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_PROJECTIONS_NZMG_HPP
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