480 lines
18 KiB
C++
480 lines
18 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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// 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_MOD_STER_HPP
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#define BOOST_GEOMETRY_PROJECTIONS_MOD_STER_HPP
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#include <boost/geometry/util/math.hpp>
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#include <boost/math/special_functions/hypot.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/aasincos.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 mod_ster
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{
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static const double epsilon = 1e-12;
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template <typename T>
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struct par_mod_ster
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{
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T cchio, schio;
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pj_complex<T>* zcoeff;
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int n;
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};
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/* based upon Snyder and Linck, USGS-NMD */
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template <typename T, typename Parameters>
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struct base_mod_ster_ellipsoid
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{
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par_mod_ster<T> m_proj_parm;
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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 const& lp_lat, T& xy_x, T& xy_y) const
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{
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static const T half_pi = detail::half_pi<T>();
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T sinlon, coslon, esphi, chi, schi, cchi, s;
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pj_complex<T> p;
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sinlon = sin(lp_lon);
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coslon = cos(lp_lon);
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esphi = par.e * sin(lp_lat);
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chi = 2. * atan(tan((half_pi + lp_lat) * .5) *
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math::pow((T(1) - esphi) / (T(1) + esphi), par.e * T(0.5))) - half_pi;
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schi = sin(chi);
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cchi = cos(chi);
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s = 2. / (1. + this->m_proj_parm.schio * schi + this->m_proj_parm.cchio * cchi * coslon);
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p.r = s * cchi * sinlon;
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p.i = s * (this->m_proj_parm.cchio * schi - this->m_proj_parm.schio * cchi * coslon);
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p = pj_zpoly1(p, this->m_proj_parm.zcoeff, this->m_proj_parm.n);
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xy_x = p.r;
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xy_y = p.i;
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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 half_pi = detail::half_pi<T>();
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int nn;
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pj_complex<T> p, fxy, fpxy, dp;
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T den, rh = 0, z, sinz = 0, cosz = 0, chi, phi = 0, dphi, esphi;
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p.r = xy_x;
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p.i = xy_y;
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for (nn = 20; nn ;--nn) {
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fxy = pj_zpolyd1(p, this->m_proj_parm.zcoeff, this->m_proj_parm.n, &fpxy);
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fxy.r -= xy_x;
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fxy.i -= xy_y;
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den = fpxy.r * fpxy.r + fpxy.i * fpxy.i;
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dp.r = -(fxy.r * fpxy.r + fxy.i * fpxy.i) / den;
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dp.i = -(fxy.i * fpxy.r - fxy.r * fpxy.i) / den;
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p.r += dp.r;
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p.i += dp.i;
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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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rh = boost::math::hypot(p.r, p.i);
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z = 2. * atan(.5 * rh);
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sinz = sin(z);
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cosz = cos(z);
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lp_lon = par.lam0;
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if (fabs(rh) <= epsilon) {
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/* if we end up here input coordinates were (0,0).
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* pj_inv() adds P->lam0 to lp.lam, this way we are
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* sure to get the correct offset */
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lp_lon = 0.0;
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lp_lat = par.phi0;
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return;
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}
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chi = aasin(cosz * this->m_proj_parm.schio + p.i * sinz * this->m_proj_parm.cchio / rh);
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phi = chi;
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for (nn = 20; nn ;--nn) {
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esphi = par.e * sin(phi);
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dphi = 2. * atan(tan((half_pi + chi) * .5) *
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math::pow((T(1) + esphi) / (T(1) - esphi), par.e * T(0.5))) - half_pi - phi;
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phi += dphi;
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if (fabs(dphi) <= epsilon)
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break;
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}
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}
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if (nn) {
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lp_lat = phi;
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lp_lon = atan2(p.r * sinz, rh * this->m_proj_parm.cchio * cosz - p.i *
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this->m_proj_parm.schio * sinz);
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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 "mod_ster_ellipsoid";
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}
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};
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template <typename Parameters, typename T>
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inline void setup(Parameters& par, par_mod_ster<T>& proj_parm) /* general initialization */
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{
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static T const half_pi = detail::half_pi<T>();
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T esphi, chio;
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if (par.es != 0.0) {
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esphi = par.e * sin(par.phi0);
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chio = 2. * atan(tan((half_pi + par.phi0) * .5) *
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math::pow((T(1) - esphi) / (T(1) + esphi), par.e * T(0.5))) - half_pi;
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} else
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chio = par.phi0;
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proj_parm.schio = sin(chio);
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proj_parm.cchio = cos(chio);
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}
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/* Miller Oblated Stereographic */
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template <typename Parameters, typename T>
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inline void setup_mil_os(Parameters& par, par_mod_ster<T>& proj_parm)
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{
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static const T d2r = geometry::math::d2r<T>();
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static pj_complex<T> AB[] = {
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{0.924500, 0.},
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{0., 0.},
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{0.019430, 0.}
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};
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proj_parm.n = 2;
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par.lam0 = d2r * 20.;
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par.phi0 = d2r * 18.;
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proj_parm.zcoeff = AB;
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par.es = 0.;
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setup(par, proj_parm);
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}
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/* Lee Oblated Stereographic */
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template <typename Parameters, typename T>
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inline void setup_lee_os(Parameters& par, par_mod_ster<T>& proj_parm)
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{
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static const T d2r = geometry::math::d2r<T>();
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static pj_complex<T> AB[] = {
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{ 0.721316, 0.},
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{ 0., 0.},
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{-0.0088162, -0.00617325}
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};
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proj_parm.n = 2;
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par.lam0 = d2r * -165.;
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par.phi0 = d2r * -10.;
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proj_parm.zcoeff = AB;
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par.es = 0.;
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setup(par, proj_parm);
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}
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// Mod. Stererographics of 48 U.S.
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template <typename Parameters, typename T>
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inline void setup_gs48(Parameters& par, par_mod_ster<T>& proj_parm)
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{
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static const T d2r = geometry::math::d2r<T>();
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static pj_complex<T> AB[] = { /* 48 United States */
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{ 0.98879, 0.},
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{ 0., 0.},
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{-0.050909, 0.},
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{ 0., 0.},
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{ 0.075528, 0.}
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};
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proj_parm.n = 4;
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par.lam0 = d2r * -96.;
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par.phi0 = d2r * -39.;
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proj_parm.zcoeff = AB;
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par.es = 0.;
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par.a = 6370997.;
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setup(par, proj_parm);
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}
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// Mod. Stererographics of Alaska
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template <typename Parameters, typename T>
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inline void setup_alsk(Parameters& par, par_mod_ster<T>& proj_parm)
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{
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static const T d2r = geometry::math::d2r<T>();
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static pj_complex<T> ABe[] = { /* Alaska ellipsoid */
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{ .9945303, 0.},
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{ .0052083, -.0027404},
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{ .0072721, .0048181},
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{-.0151089, -.1932526},
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{ .0642675, -.1381226},
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{ .3582802, -.2884586}
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};
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static pj_complex<T> ABs[] = { /* Alaska sphere */
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{ .9972523, 0.},
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{ .0052513, -.0041175},
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{ .0074606, .0048125},
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{-.0153783, -.1968253},
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{ .0636871, -.1408027},
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{ .3660976, -.2937382}
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};
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proj_parm.n = 5;
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par.lam0 = d2r * -152.;
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par.phi0 = d2r * 64.;
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if (par.es != 0.0) { /* fixed ellipsoid/sphere */
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proj_parm.zcoeff = ABe;
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par.a = 6378206.4;
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par.e = sqrt(par.es = 0.00676866);
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} else {
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proj_parm.zcoeff = ABs;
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par.a = 6370997.;
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}
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setup(par, proj_parm);
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}
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// Mod. Stererographics of 50 U.S.
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template <typename Parameters, typename T>
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inline void setup_gs50(Parameters& par, par_mod_ster<T>& proj_parm)
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{
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static const T d2r = geometry::math::d2r<T>();
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static pj_complex<T> ABe[] = { /* GS50 ellipsoid */
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{ .9827497, 0.},
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{ .0210669, .0053804},
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{-.1031415, -.0571664},
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{-.0323337, -.0322847},
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{ .0502303, .1211983},
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{ .0251805, .0895678},
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{-.0012315, -.1416121},
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{ .0072202, -.1317091},
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{-.0194029, .0759677},
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{-.0210072, .0834037}
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};
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static pj_complex<T> ABs[] = { /* GS50 sphere */
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{ .9842990, 0.},
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{ .0211642, .0037608},
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{-.1036018, -.0575102},
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{-.0329095, -.0320119},
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{ .0499471, .1223335},
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{ .0260460, .0899805},
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{ .0007388, -.1435792},
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{ .0075848, -.1334108},
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{-.0216473, .0776645},
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{-.0225161, .0853673}
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};
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proj_parm.n = 9;
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par.lam0 = d2r * -120.;
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par.phi0 = d2r * 45.;
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if (par.es != 0.0) { /* fixed ellipsoid/sphere */
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proj_parm.zcoeff = ABe;
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par.a = 6378206.4;
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par.e = sqrt(par.es = 0.00676866);
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} else {
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proj_parm.zcoeff = ABs;
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par.a = 6370997.;
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}
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setup(par, proj_parm);
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}
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}} // namespace detail::mod_ster
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#endif // doxygen
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/*!
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\brief Miller Oblated Stereographic 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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- Azimuthal (mod)
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\par Example
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\image html ex_mil_os.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct mil_os_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline mil_os_ellipsoid(Params const& , Parameters & par)
|
||
|
|
{
|
||
|
|
detail::mod_ster::setup_mil_os(par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Lee Oblated Stereographic projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Azimuthal (mod)
|
||
|
|
\par Example
|
||
|
|
\image html ex_lee_os.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct lee_os_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline lee_os_ellipsoid(Params const& , Parameters & par)
|
||
|
|
{
|
||
|
|
detail::mod_ster::setup_lee_os(par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Mod. Stererographics of 48 U.S. projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Azimuthal (mod)
|
||
|
|
\par Example
|
||
|
|
\image html ex_gs48.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct gs48_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline gs48_ellipsoid(Params const& , Parameters & par)
|
||
|
|
{
|
||
|
|
detail::mod_ster::setup_gs48(par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Mod. Stererographics of Alaska projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Azimuthal (mod)
|
||
|
|
\par Example
|
||
|
|
\image html ex_alsk.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct alsk_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline alsk_ellipsoid(Params const& , Parameters & par)
|
||
|
|
{
|
||
|
|
detail::mod_ster::setup_alsk(par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
/*!
|
||
|
|
\brief Mod. Stererographics of 50 U.S. projection
|
||
|
|
\ingroup projections
|
||
|
|
\tparam Geographic latlong point type
|
||
|
|
\tparam Cartesian xy point type
|
||
|
|
\tparam Parameters parameter type
|
||
|
|
\par Projection characteristics
|
||
|
|
- Azimuthal (mod)
|
||
|
|
\par Example
|
||
|
|
\image html ex_gs50.gif
|
||
|
|
*/
|
||
|
|
template <typename T, typename Parameters>
|
||
|
|
struct gs50_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<T, Parameters>
|
||
|
|
{
|
||
|
|
template <typename Params>
|
||
|
|
inline gs50_ellipsoid(Params const& , Parameters & par)
|
||
|
|
{
|
||
|
|
detail::mod_ster::setup_gs50(par, this->m_proj_parm);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
#ifndef DOXYGEN_NO_DETAIL
|
||
|
|
namespace detail
|
||
|
|
{
|
||
|
|
|
||
|
|
// Static projection
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_mil_os, mil_os_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_lee_os, lee_os_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_gs48, gs48_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_alsk, alsk_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_gs50, gs50_ellipsoid)
|
||
|
|
|
||
|
|
// Factory entry(s)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(mil_os_entry, mil_os_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(lee_os_entry, lee_os_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gs48_entry, gs48_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(alsk_entry, alsk_ellipsoid)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(gs50_entry, gs50_ellipsoid)
|
||
|
|
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(mod_ster_init)
|
||
|
|
{
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(mil_os, mil_os_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(lee_os, lee_os_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gs48, gs48_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(alsk, alsk_entry)
|
||
|
|
BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(gs50, gs50_entry)
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
#endif // doxygen
|
||
|
|
|
||
|
|
} // namespace projections
|
||
|
|
|
||
|
|
}} // namespace boost::geometry
|
||
|
|
|
||
|
|
#endif // BOOST_GEOMETRY_PROJECTIONS_MOD_STER_HPP
|
||
|
|
|