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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: // 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_POLY_HPP #define BOOST_GEOMETRY_PROJECTIONS_POLY_HPP #include #include #include #include #include #include namespace boost { namespace geometry { namespace projections { #ifndef DOXYGEN_NO_DETAIL namespace detail { namespace poly { static const double tolerance = 1e-10; static const double conv_tolerance = 1e-10; static const int n_iter = 10; static const int i_iter = 20; static const double i_tolerance = 1.e-12; template struct par_poly { T ml0; detail::en en; }; template struct base_poly_ellipsoid { par_poly m_proj_parm; // FORWARD(e_forward) ellipsoid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& par, T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { T ms, sp, cp; if (fabs(lp_lat) <= tolerance) { xy_x = lp_lon; xy_y = -this->m_proj_parm.ml0; } else { sp = sin(lp_lat); ms = fabs(cp = cos(lp_lat)) > tolerance ? pj_msfn(sp, cp, par.es) / sp : 0.; xy_x = ms * sin(lp_lon *= sp); xy_y = (pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en) - this->m_proj_parm.ml0) + ms * (1. - cos(lp_lon)); } } // 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 xy_y, T& lp_lon, T& lp_lat) const { xy_y += this->m_proj_parm.ml0; if (fabs(xy_y) <= tolerance) { lp_lon = xy_x; lp_lat = 0.; } else { T r, c, sp, cp, s2ph, ml, mlb, mlp, dPhi; int i; r = xy_y * xy_y + xy_x * xy_x; for (lp_lat = xy_y, i = i_iter; i ; --i) { sp = sin(lp_lat); s2ph = sp * ( cp = cos(lp_lat)); if (fabs(cp) < i_tolerance) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } c = sp * (mlp = sqrt(1. - par.es * sp * sp)) / cp; ml = pj_mlfn(lp_lat, sp, cp, this->m_proj_parm.en); mlb = ml * ml + r; mlp = par.one_es / (mlp * mlp * mlp); lp_lat += ( dPhi = ( ml + ml + c * mlb - 2. * xy_y * (c * ml + 1.) ) / ( par.es * s2ph * (mlb - 2. * xy_y * ml) / c + 2.* (xy_y - ml) * (c * mlp - 1. / s2ph) - mlp - mlp )); if (fabs(dPhi) <= i_tolerance) break; } if (!i) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } c = sin(lp_lat); lp_lon = asin(xy_x * tan(lp_lat) * sqrt(1. - par.es * c * c)) / sin(lp_lat); } } static inline std::string get_name() { return "poly_ellipsoid"; } }; template struct base_poly_spheroid { par_poly m_proj_parm; // FORWARD(s_forward) spheroid // Project coordinates from geographic (lon, lat) to cartesian (x, y) inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const { T cot, E; if (fabs(lp_lat) <= tolerance) { xy_x = lp_lon; xy_y = this->m_proj_parm.ml0; } else { cot = 1. / tan(lp_lat); xy_x = sin(E = lp_lon * sin(lp_lat)) * cot; xy_y = lp_lat - par.phi0 + cot * (1. - cos(E)); } } // INVERSE(s_inverse) spheroid // Project coordinates from cartesian (x, y) to geographic (lon, lat) inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const { T B, dphi, tp; int i; if (fabs(xy_y = par.phi0 + xy_y) <= tolerance) { lp_lon = xy_x; lp_lat = 0.; } else { lp_lat = xy_y; B = xy_x * xy_x + xy_y * xy_y; i = n_iter; do { tp = tan(lp_lat); lp_lat -= (dphi = (xy_y * (lp_lat * tp + 1.) - lp_lat - .5 * ( lp_lat * lp_lat + B) * tp) / ((lp_lat - xy_y) / tp - 1.)); } while (fabs(dphi) > conv_tolerance && --i); if (! i) { BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); } lp_lon = asin(xy_x * tan(lp_lat)) / sin(lp_lat); } } static inline std::string get_name() { return "poly_spheroid"; } }; // Polyconic (American) template inline void setup_poly(Parameters const& par, par_poly& proj_parm) { if (par.es != 0.0) { proj_parm.en = pj_enfn(par.es); proj_parm.ml0 = pj_mlfn(par.phi0, sin(par.phi0), cos(par.phi0), proj_parm.en); } else { proj_parm.ml0 = -par.phi0; } } }} // namespace detail::poly #endif // doxygen /*! \brief Polyconic (American) projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Conic - Spheroid - Ellipsoid \par Example \image html ex_poly.gif */ template struct poly_ellipsoid : public detail::poly::base_poly_ellipsoid { template inline poly_ellipsoid(Params const& , Parameters const& par) { detail::poly::setup_poly(par, this->m_proj_parm); } }; /*! \brief Polyconic (American) projection \ingroup projections \tparam Geographic latlong point type \tparam Cartesian xy point type \tparam Parameters parameter type \par Projection characteristics - Conic - Spheroid - Ellipsoid \par Example \image html ex_poly.gif */ template struct poly_spheroid : public detail::poly::base_poly_spheroid { template inline poly_spheroid(Params const& , Parameters const& par) { detail::poly::setup_poly(par, this->m_proj_parm); } }; #ifndef DOXYGEN_NO_DETAIL namespace detail { // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_poly, poly_spheroid, poly_ellipsoid) // Factory entry(s) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(poly_entry, poly_spheroid, poly_ellipsoid) BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(poly_init) { BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(poly, poly_entry) } } // namespace detail #endif // doxygen } // namespace projections }} // namespace boost::geometry #endif // BOOST_GEOMETRY_PROJECTIONS_POLY_HPP