// 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 #include #include #include #include #include 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 inline T sec5_to_rad() { return 0.4848136811095359935899141023; } template inline T rad_to_sec5() { return 2.062648062470963551564733573; } template inline const pj_complex * bf() { static const pj_complex result[] = { {.7557853228, 0.0}, {.249204646, .003371507}, {-.001541739, .041058560}, {-.10162907, .01727609}, {-.26623489, -.36249218}, {-.6870983, -1.1651967} }; return result; } template inline const T * tphi() { static const T result[] = { 1.5627014243, .5185406398, -.03333098, -.1052906, -.0368594, .007317, .01220, .00394, -.0013 }; return result; } template inline const T * tpsi() { static const T result[] = { .6399175073, -.1358797613, .063294409, -.02526853, .0117879, -.0055161, .0026906, -.001333, .00067, -.00034 }; return result; } template 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(); pj_complex p; const T * C; int i; lp_lat = (lp_lat - par.phi0) * rad_to_sec5; for (p.r = *(C = tpsi() + (i = Ntpsi)); i ; --i) p.r = *--C + lp_lat * p.r; p.r *= lp_lat; p.i = lp_lon; p = pj_zpoly1(p, bf(), 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(); int nn, i; pj_complex 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(), 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() + (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 inline void setup_nzmg(Parameters& par) { typedef typename Parameters::type calc_t; static const calc_t d2r = geometry::math::d2r(); /* 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 struct nzmg_ellipsoid : public detail::nzmg::base_nzmg_ellipsoid { template 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