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Diffstat (limited to 'boost/geometry/srs/projections/proj/mod_ster.hpp')
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diff --git a/boost/geometry/srs/projections/proj/mod_ster.hpp b/boost/geometry/srs/projections/proj/mod_ster.hpp new file mode 100644 index 0000000000..8a50a275f9 --- /dev/null +++ b/boost/geometry/srs/projections/proj/mod_ster.hpp @@ -0,0 +1,522 @@ +#ifndef BOOST_GEOMETRY_PROJECTIONS_MOD_STER_HPP +#define BOOST_GEOMETRY_PROJECTIONS_MOD_STER_HPP + +// Boost.Geometry - extensions-gis-projections (based on PROJ4) +// This file is automatically generated. DO NOT EDIT. + +// Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands. + +// This file was modified by Oracle on 2017. +// Modifications copyright (c) 2017, 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: 4.9.1 + +// 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. + +#include <boost/geometry/util/math.hpp> +#include <boost/math/special_functions/hypot.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/aasincos.hpp> +#include <boost/geometry/srs/projections/impl/pj_zpoly1.hpp> + +namespace boost { namespace geometry +{ + +namespace srs { namespace par4 +{ + struct mil_os {}; + struct lee_os {}; + struct gs48 {}; + struct alsk {}; + struct gs50 {}; + +}} //namespace srs::par4 + +namespace projections +{ + #ifndef DOXYGEN_NO_DETAIL + namespace detail { namespace mod_ster + { + + static const double EPSLN = 1e-10; + + template <typename T> + struct par_mod_ster + { + COMPLEX<T> *zcoeff; + T cchio, schio; + int n; + }; + + /* based upon Snyder and Linck, USGS-NMD */ + + // template class, using CRTP to implement forward/inverse + template <typename CalculationType, typename Parameters> + struct base_mod_ster_ellipsoid : public base_t_fi<base_mod_ster_ellipsoid<CalculationType, Parameters>, + CalculationType, Parameters> + { + + typedef CalculationType geographic_type; + typedef CalculationType cartesian_type; + + par_mod_ster<CalculationType> m_proj_parm; + + inline base_mod_ster_ellipsoid(const Parameters& par) + : base_t_fi<base_mod_ster_ellipsoid<CalculationType, Parameters>, + CalculationType, Parameters>(*this, par) {} + + // FORWARD(e_forward) ellipsoid + // Project coordinates from geographic (lon, lat) to cartesian (x, y) + inline void fwd(geographic_type& lp_lon, geographic_type& lp_lat, cartesian_type& xy_x, cartesian_type& xy_y) const + { + static const CalculationType HALFPI = detail::HALFPI<CalculationType>(); + + CalculationType sinlon, coslon, esphi, chi, schi, cchi, s; + COMPLEX<CalculationType> p; + + sinlon = sin(lp_lon); + coslon = cos(lp_lon); + esphi = this->m_par.e * sin(lp_lat); + chi = 2. * atan(tan((HALFPI + lp_lat) * .5) * + pow((1. - esphi) / (1. + esphi), this->m_par.e * .5)) - HALFPI; + schi = sin(chi); + cchi = cos(chi); + s = 2. / (1. + this->m_proj_parm.schio * schi + this->m_proj_parm.cchio * cchi * coslon); + p.r = s * cchi * sinlon; + p.i = s * (this->m_proj_parm.cchio * schi - this->m_proj_parm.schio * cchi * coslon); + p = pj_zpoly1(p, this->m_proj_parm.zcoeff, this->m_proj_parm.n); + xy_x = p.r; + xy_y = p.i; + } + + // INVERSE(e_inverse) ellipsoid + // Project coordinates from cartesian (x, y) to geographic (lon, lat) + inline void inv(cartesian_type& xy_x, cartesian_type& xy_y, geographic_type& lp_lon, geographic_type& lp_lat) const + { + static const CalculationType HALFPI = detail::HALFPI<CalculationType>(); + + int nn; + COMPLEX<CalculationType> p, fxy, fpxy, dp; + CalculationType den, rh = 0, z, sinz = 0, cosz = 0, chi, phi = 0, dphi, esphi; + + p.r = xy_x; + p.i = xy_y; + for (nn = 20; nn ;--nn) { + fxy = pj_zpolyd1(p, this->m_proj_parm.zcoeff, this->m_proj_parm.n, &fpxy); + fxy.r -= xy_x; + fxy.i -= xy_y; + den = fpxy.r * fpxy.r + fpxy.i * fpxy.i; + dp.r = -(fxy.r * fpxy.r + fxy.i * fpxy.i) / den; + dp.i = -(fxy.i * fpxy.r - fxy.r * fpxy.i) / den; + p.r += dp.r; + p.i += dp.i; + if ((fabs(dp.r) + fabs(dp.i)) <= EPSLN) + break; + } + if (nn) { + rh = boost::math::hypot(p.r, p.i); + z = 2. * atan(.5 * rh); + sinz = sin(z); + cosz = cos(z); + lp_lon = this->m_par.lam0; + if (fabs(rh) <= EPSLN) { + lp_lat = this->m_par.phi0; + return; + } + chi = aasin(cosz * this->m_proj_parm.schio + p.i * sinz * this->m_proj_parm.cchio / rh); + phi = chi; + for (nn = 20; nn ;--nn) { + esphi = this->m_par.e * sin(phi); + dphi = 2. * atan(tan((HALFPI + chi) * .5) * + pow((1. + esphi) / (1. - esphi), this->m_par.e * .5)) - HALFPI - phi; + phi += dphi; + if (fabs(dphi) <= EPSLN) + break; + } + } + if (nn) { + lp_lat = phi; + lp_lon = atan2(p.r * sinz, rh * this->m_proj_parm.cchio * cosz - p.i * + this->m_proj_parm.schio * sinz); + } else + lp_lon = lp_lat = HUGE_VAL; + } + + static inline std::string get_name() + { + return "mod_ster_ellipsoid"; + } + + }; + + template <typename Parameters, typename T> + inline void setup(Parameters& par, par_mod_ster<T>& proj_parm) /* general initialization */ + { + T esphi, chio; + + if (par.es) { + esphi = par.e * sin(par.phi0); + chio = 2. * atan(tan((geometry::math::half_pi<T>() + par.phi0) * .5) * + pow((1. - esphi) / (1. + esphi), par.e * .5)) - geometry::math::half_pi<T>(); + } else + chio = par.phi0; + proj_parm.schio = sin(chio); + proj_parm.cchio = cos(chio); + } + + + // Miller Oblated Stereographic + template <typename Parameters, typename T> + inline void setup_mil_os(Parameters& par, par_mod_ster<T>& proj_parm) + { + static COMPLEX<T> /* Miller Oblated Stereographic */ + AB[] = { + {0.924500, 0.}, + {0., 0.}, + {0.019430, 0.} + }; + + proj_parm.n = 2; + par.lam0 = geometry::math::d2r<T>() * 20.; + par.phi0 = geometry::math::d2r<T>() * 18.; + proj_parm.zcoeff = AB; + par.es = 0.; + setup(par, proj_parm); + } + + // Lee Oblated Stereographic + template <typename Parameters, typename T> + inline void setup_lee_os(Parameters& par, par_mod_ster<T>& proj_parm) + { + static COMPLEX<T> /* Lee Oblated Stereographic */ + AB[] = { + {0.721316, 0.}, + {0., 0.}, + {-0.0088162, -0.00617325} + }; + + proj_parm.n = 2; + par.lam0 = geometry::math::d2r<T>() * -165.; + par.phi0 = geometry::math::d2r<T>() * -10.; + proj_parm.zcoeff = AB; + par.es = 0.; + setup(par, proj_parm); + } + + // Mod. Stererographics of 48 U.S. + template <typename Parameters, typename T> + inline void setup_gs48(Parameters& par, par_mod_ster<T>& proj_parm) + { + static COMPLEX<T> /* 48 United States */ + AB[] = { + {0.98879, 0.}, + {0., 0.}, + {-0.050909, 0.}, + {0., 0.}, + {0.075528, 0.} + }; + + proj_parm.n = 4; + par.lam0 = geometry::math::d2r<T>() * -96.; + par.phi0 = geometry::math::d2r<T>() * -39.; + proj_parm.zcoeff = AB; + par.es = 0.; + par.a = 6370997.; + setup(par, proj_parm); + } + + // Mod. Stererographics of Alaska + template <typename Parameters, typename T> + inline void setup_alsk(Parameters& par, par_mod_ster<T>& proj_parm) + { + static COMPLEX<T> + ABe[] = { /* Alaska ellipsoid */ + {.9945303, 0.}, + {.0052083, -.0027404}, + {.0072721, .0048181}, + {-.0151089, -.1932526}, + {.0642675, -.1381226}, + {.3582802, -.2884586}}, + ABs[] = { /* Alaska sphere */ + {.9972523, 0.}, + {.0052513, -.0041175}, + {.0074606, .0048125}, + {-.0153783, -.1968253}, + {.0636871, -.1408027}, + {.3660976, -.2937382} + }; + + proj_parm.n = 5; + par.lam0 = geometry::math::d2r<T>() * -152.; + par.phi0 = geometry::math::d2r<T>() * 64.; + if (par.es) { /* fixed ellipsoid/sphere */ + proj_parm.zcoeff = ABe; + par.a = 6378206.4; + par.e = sqrt(par.es = 0.00676866); + } else { + proj_parm.zcoeff = ABs; + par.a = 6370997.; + } + setup(par, proj_parm); + } + + // Mod. Stererographics of 50 U.S. + template <typename Parameters, typename T> + inline void setup_gs50(Parameters& par, par_mod_ster<T>& proj_parm) + { + static COMPLEX<T> + ABe[] = { /* GS50 ellipsoid */ + {.9827497, 0.}, + {.0210669, .0053804}, + {-.1031415, -.0571664}, + {-.0323337, -.0322847}, + {.0502303, .1211983}, + {.0251805, .0895678}, + {-.0012315, -.1416121}, + {.0072202, -.1317091}, + {-.0194029, .0759677}, + {-.0210072, .0834037} + }, + ABs[] = { /* GS50 sphere */ + {.9842990, 0.}, + {.0211642, .0037608}, + {-.1036018, -.0575102}, + {-.0329095, -.0320119}, + {.0499471, .1223335}, + {.0260460, .0899805}, + {.0007388, -.1435792}, + {.0075848, -.1334108}, + {-.0216473, .0776645}, + {-.0225161, .0853673} + }; + + proj_parm.n = 9; + par.lam0 = geometry::math::d2r<T>() * -120.; + par.phi0 = geometry::math::d2r<T>() * 45.; + if (par.es) { /* fixed ellipsoid/sphere */ + proj_parm.zcoeff = ABe; + par.a = 6378206.4; + par.e = sqrt(par.es = 0.00676866); + } else { + proj_parm.zcoeff = ABs; + par.a = 6370997.; + } + setup(par, proj_parm); + } + + }} // namespace detail::mod_ster + #endif // doxygen + + /*! + \brief Miller 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_mil_os.gif + */ + template <typename CalculationType, typename Parameters> + struct mil_os_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters> + { + inline mil_os_ellipsoid(const Parameters& par) : detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters>(par) + { + detail::mod_ster::setup_mil_os(this->m_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 CalculationType, typename Parameters> + struct lee_os_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters> + { + inline lee_os_ellipsoid(const Parameters& par) : detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters>(par) + { + detail::mod_ster::setup_lee_os(this->m_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 CalculationType, typename Parameters> + struct gs48_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters> + { + inline gs48_ellipsoid(const Parameters& par) : detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters>(par) + { + detail::mod_ster::setup_gs48(this->m_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 CalculationType, typename Parameters> + struct alsk_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters> + { + inline alsk_ellipsoid(const Parameters& par) : detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters>(par) + { + detail::mod_ster::setup_alsk(this->m_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 CalculationType, typename Parameters> + struct gs50_ellipsoid : public detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters> + { + inline gs50_ellipsoid(const Parameters& par) : detail::mod_ster::base_mod_ster_ellipsoid<CalculationType, Parameters>(par) + { + detail::mod_ster::setup_gs50(this->m_par, this->m_proj_parm); + } + }; + + #ifndef DOXYGEN_NO_DETAIL + namespace detail + { + + // Static projection + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::mil_os, mil_os_ellipsoid, mil_os_ellipsoid) + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::lee_os, lee_os_ellipsoid, lee_os_ellipsoid) + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::gs48, gs48_ellipsoid, gs48_ellipsoid) + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::alsk, alsk_ellipsoid, alsk_ellipsoid) + BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION(srs::par4::gs50, gs50_ellipsoid, gs50_ellipsoid) + + // Factory entry(s) + template <typename CalculationType, typename Parameters> + class mil_os_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<mil_os_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + class lee_os_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<lee_os_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + class gs48_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<gs48_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + class alsk_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<alsk_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + class gs50_entry : public detail::factory_entry<CalculationType, Parameters> + { + public : + virtual base_v<CalculationType, Parameters>* create_new(const Parameters& par) const + { + return new base_v_fi<gs50_ellipsoid<CalculationType, Parameters>, CalculationType, Parameters>(par); + } + }; + + template <typename CalculationType, typename Parameters> + inline void mod_ster_init(detail::base_factory<CalculationType, Parameters>& factory) + { + factory.add_to_factory("mil_os", new mil_os_entry<CalculationType, Parameters>); + factory.add_to_factory("lee_os", new lee_os_entry<CalculationType, Parameters>); + factory.add_to_factory("gs48", new gs48_entry<CalculationType, Parameters>); + factory.add_to_factory("alsk", new alsk_entry<CalculationType, Parameters>); + factory.add_to_factory("gs50", new gs50_entry<CalculationType, Parameters>); + } + + } // namespace detail + #endif // doxygen + +} // namespace projections + +}} // namespace boost::geometry + +#endif // BOOST_GEOMETRY_PROJECTIONS_MOD_STER_HPP + |