1 // Boost.Geometry - gis-projections (based on PROJ4) 2 3 // Copyright (c) 2008-2015 Barend Gehrels, Amsterdam, the Netherlands. 4 5 // This file was modified by Oracle on 2017, 2018, 2019. 6 // Modifications copyright (c) 2017-2019, Oracle and/or its affiliates. 7 // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle. 8 9 // Use, modification and distribution is subject to the Boost Software License, 10 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at 11 // http://www.boost.org/LICENSE_1_0.txt) 12 13 // This file is converted from PROJ4, http://trac.osgeo.org/proj 14 // PROJ4 is originally written by Gerald Evenden (then of the USGS) 15 // PROJ4 is maintained by Frank Warmerdam 16 // PROJ4 is converted to Boost.Geometry by Barend Gehrels 17 18 // Last updated version of proj: 5.0.0 19 20 // Original copyright notice: 21 22 // Permission is hereby granted, free of charge, to any person obtaining a 23 // copy of this software and associated documentation files (the "Software"), 24 // to deal in the Software without restriction, including without limitation 25 // the rights to use, copy, modify, merge, publish, distribute, sublicense, 26 // and/or sell copies of the Software, and to permit persons to whom the 27 // Software is furnished to do so, subject to the following conditions: 28 29 // The above copyright notice and this permission notice shall be included 30 // in all copies or substantial portions of the Software. 31 32 // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 33 // OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 34 // FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 35 // THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER 36 // LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING 37 // FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER 38 // DEALINGS IN THE SOFTWARE. 39 40 #ifndef BOOST_GEOMETRY_PROJECTIONS_BONNE_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_BONNE_HPP 42 43 #include <boost/geometry/srs/projections/impl/base_static.hpp> 44 #include <boost/geometry/srs/projections/impl/base_dynamic.hpp> 45 #include <boost/geometry/srs/projections/impl/factory_entry.hpp> 46 #include <boost/geometry/srs/projections/impl/pj_mlfn.hpp> 47 #include <boost/geometry/srs/projections/impl/pj_param.hpp> 48 #include <boost/geometry/srs/projections/impl/projects.hpp> 49 50 #include <boost/geometry/util/math.hpp> 51 52 #include <boost/math/special_functions/hypot.hpp> 53 54 namespace boost { namespace geometry 55 { 56 57 namespace projections 58 { 59 #ifndef DOXYGEN_NO_DETAIL 60 namespace detail { namespace bonne 61 { 62 63 static const double epsilon10 = 1e-10; 64 65 template <typename T> 66 struct par_bonne 67 { 68 T phi1; 69 T cphi1; 70 T am1; 71 T m1; 72 detail::en<T> en; 73 }; 74 75 template <typename T, typename Parameters> 76 struct base_bonne_ellipsoid 77 { 78 par_bonne<T> m_proj_parm; 79 80 // FORWARD(e_forward) ellipsoid 81 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::bonne::base_bonne_ellipsoid82 inline void fwd(Parameters const& par, T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 83 { 84 T rh, E, c; 85 86 rh = this->m_proj_parm.am1 + this->m_proj_parm.m1 - pj_mlfn(lp_lat, E = sin(lp_lat), c = cos(lp_lat), this->m_proj_parm.en); 87 E = c * lp_lon / (rh * sqrt(1. - par.es * E * E)); 88 xy_x = rh * sin(E); 89 xy_y = this->m_proj_parm.am1 - rh * cos(E); 90 } 91 92 // INVERSE(e_inverse) ellipsoid 93 // Project coordinates from cartesian (x, y) to geographic (lon, lat) invboost::geometry::projections::detail::bonne::base_bonne_ellipsoid94 inline void inv(Parameters const& par, T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const 95 { 96 static const T half_pi = detail::half_pi<T>(); 97 98 T s, rh; 99 100 rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.am1 - xy_y); 101 lp_lat = pj_inv_mlfn(this->m_proj_parm.am1 + this->m_proj_parm.m1 - rh, par.es, this->m_proj_parm.en); 102 if ((s = fabs(lp_lat)) < half_pi) { 103 s = sin(lp_lat); 104 lp_lon = rh * atan2(xy_x, xy_y) * 105 sqrt(1. - par.es * s * s) / cos(lp_lat); 106 } else if (fabs(s - half_pi) <= epsilon10) 107 lp_lon = 0.; 108 else 109 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); 110 } 111 get_nameboost::geometry::projections::detail::bonne::base_bonne_ellipsoid112 static inline std::string get_name() 113 { 114 return "bonne_ellipsoid"; 115 } 116 117 }; 118 119 template <typename T, typename Parameters> 120 struct base_bonne_spheroid 121 { 122 par_bonne<T> m_proj_parm; 123 124 // FORWARD(s_forward) spheroid 125 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::bonne::base_bonne_spheroid126 inline void fwd(Parameters const& , T const& lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 127 { 128 T E, rh; 129 130 rh = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - lp_lat; 131 if (fabs(rh) > epsilon10) { 132 xy_x = rh * sin(E = lp_lon * cos(lp_lat) / rh); 133 xy_y = this->m_proj_parm.cphi1 - rh * cos(E); 134 } else 135 xy_x = xy_y = 0.; 136 } 137 138 // INVERSE(s_inverse) spheroid 139 // Project coordinates from cartesian (x, y) to geographic (lon, lat) invboost::geometry::projections::detail::bonne::base_bonne_spheroid140 inline void inv(Parameters const& , T const& xy_x, T xy_y, T& lp_lon, T& lp_lat) const 141 { 142 static const T half_pi = detail::half_pi<T>(); 143 144 T rh; 145 146 rh = boost::math::hypot(xy_x, xy_y = this->m_proj_parm.cphi1 - xy_y); 147 lp_lat = this->m_proj_parm.cphi1 + this->m_proj_parm.phi1 - rh; 148 if (fabs(lp_lat) > half_pi) { 149 BOOST_THROW_EXCEPTION( projection_exception(error_tolerance_condition) ); 150 } 151 if (fabs(fabs(lp_lat) - half_pi) <= epsilon10) 152 lp_lon = 0.; 153 else 154 lp_lon = rh * atan2(xy_x, xy_y) / cos(lp_lat); 155 } 156 get_nameboost::geometry::projections::detail::bonne::base_bonne_spheroid157 static inline std::string get_name() 158 { 159 return "bonne_spheroid"; 160 } 161 162 }; 163 164 // Bonne (Werner lat_1=90) 165 template <typename Params, typename Parameters, typename T> setup_bonne(Params const & params,Parameters const & par,par_bonne<T> & proj_parm)166 inline void setup_bonne(Params const& params, Parameters const& par, par_bonne<T>& proj_parm) 167 { 168 static const T half_pi = detail::half_pi<T>(); 169 170 T c; 171 172 proj_parm.phi1 = pj_get_param_r<T, srs::spar::lat_1>(params, "lat_1", srs::dpar::lat_1); 173 if (fabs(proj_parm.phi1) < epsilon10) 174 BOOST_THROW_EXCEPTION( projection_exception(error_lat1_is_zero) ); 175 176 if (par.es != 0.0) { 177 proj_parm.en = pj_enfn<T>(par.es); 178 proj_parm.m1 = pj_mlfn(proj_parm.phi1, proj_parm.am1 = sin(proj_parm.phi1), 179 c = cos(proj_parm.phi1), proj_parm.en); 180 proj_parm.am1 = c / (sqrt(1. - par.es * proj_parm.am1 * proj_parm.am1) * proj_parm.am1); 181 } else { 182 if (fabs(proj_parm.phi1) + epsilon10 >= half_pi) 183 proj_parm.cphi1 = 0.; 184 else 185 proj_parm.cphi1 = 1. / tan(proj_parm.phi1); 186 } 187 } 188 189 }} // namespace detail::bonne 190 #endif // doxygen 191 192 /*! 193 \brief Bonne (Werner lat_1=90) projection 194 \ingroup projections 195 \tparam Geographic latlong point type 196 \tparam Cartesian xy point type 197 \tparam Parameters parameter type 198 \par Projection characteristics 199 - Conic 200 - Spheroid 201 - Ellipsoid 202 \par Projection parameters 203 - lat_1: Latitude of first standard parallel (degrees) 204 \par Example 205 \image html ex_bonne.gif 206 */ 207 template <typename T, typename Parameters> 208 struct bonne_ellipsoid : public detail::bonne::base_bonne_ellipsoid<T, Parameters> 209 { 210 template <typename Params> bonne_ellipsoidboost::geometry::projections::bonne_ellipsoid211 inline bonne_ellipsoid(Params const& params, Parameters const& par) 212 { 213 detail::bonne::setup_bonne(params, par, this->m_proj_parm); 214 } 215 }; 216 217 /*! 218 \brief Bonne (Werner lat_1=90) projection 219 \ingroup projections 220 \tparam Geographic latlong point type 221 \tparam Cartesian xy point type 222 \tparam Parameters parameter type 223 \par Projection characteristics 224 - Conic 225 - Spheroid 226 - Ellipsoid 227 \par Projection parameters 228 - lat_1: Latitude of first standard parallel (degrees) 229 \par Example 230 \image html ex_bonne.gif 231 */ 232 template <typename T, typename Parameters> 233 struct bonne_spheroid : public detail::bonne::base_bonne_spheroid<T, Parameters> 234 { 235 template <typename Params> bonne_spheroidboost::geometry::projections::bonne_spheroid236 inline bonne_spheroid(Params const& params, Parameters const& par) 237 { 238 detail::bonne::setup_bonne(params, par, this->m_proj_parm); 239 } 240 }; 241 242 #ifndef DOXYGEN_NO_DETAIL 243 namespace detail 244 { 245 246 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_bonne,bonne_spheroid,bonne_ellipsoid)247 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI2(srs::spar::proj_bonne, bonne_spheroid, bonne_ellipsoid) 248 249 // Factory entry(s) 250 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI2(bonne_entry, bonne_spheroid, bonne_ellipsoid) 251 252 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(bonne_init) 253 { 254 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(bonne, bonne_entry); 255 } 256 257 } // namespace detail 258 #endif // doxygen 259 260 } // namespace projections 261 262 }} // namespace boost::geometry 263 264 #endif // BOOST_GEOMETRY_PROJECTIONS_BONNE_HPP 265 266