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_IGH_HPP 41 #define BOOST_GEOMETRY_PROJECTIONS_IGH_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/projects.hpp> 46 #include <boost/geometry/srs/projections/impl/factory_entry.hpp> 47 #include <boost/geometry/srs/projections/proj/gn_sinu.hpp> 48 #include <boost/geometry/srs/projections/proj/moll.hpp> 49 50 #include <boost/geometry/util/math.hpp> 51 52 #include <boost/shared_ptr.hpp> 53 54 namespace boost { namespace geometry 55 { 56 57 namespace projections 58 { 59 #ifndef DOXYGEN_NO_DETAIL 60 namespace detail { namespace igh 61 { 62 template <typename T> 63 struct par_igh_zone 64 { 65 T x0; 66 T y0; 67 T lam0; 68 }; 69 70 // NOTE: x0, y0, lam0 are not used in moll nor sinu projections 71 // so it is a waste of memory to keep 12 copies of projections 72 // with parameters as in the original Proj4. 73 74 // TODO: It would be possible to further decrease the size of par_igh 75 // because spherical sinu and moll has constant parameters. 76 // TODO: Furthermore there is no need to store par_igh_zone parameters 77 // since they are constant for zones. In both fwd() and inv() there are 78 // parts of code dependent on specific zones (if statements) anyway 79 // so these parameters could be hardcoded there instead of stored. 80 81 template <typename T, typename Parameters> 82 struct par_igh 83 { 84 moll_spheroid<T, Parameters> moll; 85 sinu_spheroid<T, Parameters> sinu; 86 par_igh_zone<T> zones[12]; 87 T dy0; 88 89 // NOTE: The constructors of moll and sinu projections sets 90 // par.es = 0 91 92 template <typename Params> par_ighboost::geometry::projections::detail::igh::par_igh93 inline par_igh(Params const& params, Parameters & par) 94 : moll(params, par) 95 , sinu(params, par) 96 {} 97 fwdboost::geometry::projections::detail::igh::par_igh98 inline void fwd(int zone, Parameters const& par, T const& lp_lon, T const& lp_lat, T & xy_x, T & xy_y) const 99 { 100 if (zone <= 2 || zone >= 9) // 1, 2, 9, 10, 11, 12 101 moll.fwd(par, lp_lon, lp_lat, xy_x, xy_y); 102 else // 3, 4, 5, 6, 7, 8 103 sinu.fwd(par, lp_lon, lp_lat, xy_x, xy_y); 104 } 105 invboost::geometry::projections::detail::igh::par_igh106 inline void inv(int zone, Parameters const& par, T const& xy_x, T const& xy_y, T & lp_lon, T & lp_lat) const 107 { 108 if (zone <= 2 || zone >= 9) // 1, 2, 9, 10, 11, 12 109 moll.inv(par, xy_x, xy_y, lp_lon, lp_lat); 110 else // 3, 4, 5, 6, 7, 8 111 sinu.inv(par, xy_x, xy_y, lp_lon, lp_lat); 112 } 113 set_zoneboost::geometry::projections::detail::igh::par_igh114 inline void set_zone(int zone, T const& x_0, T const& y_0, T const& lon_0) 115 { 116 zones[zone - 1].x0 = x_0; 117 zones[zone - 1].y0 = y_0; 118 zones[zone - 1].lam0 = lon_0; 119 } 120 get_zoneboost::geometry::projections::detail::igh::par_igh121 inline par_igh_zone<T> const& get_zone(int zone) const 122 { 123 return zones[zone - 1]; 124 } 125 }; 126 127 /* 40d 44' 11.8" [degrees] */ 128 template <typename T> d4044118()129 inline T d4044118() { return (T(40) + T(44)/T(60.) + T(11.8)/T(3600.)) * geometry::math::d2r<T>(); } 130 131 template <typename T> d10()132 inline T d10() { return T(10) * geometry::math::d2r<T>(); } 133 template <typename T> d20()134 inline T d20() { return T(20) * geometry::math::d2r<T>(); } 135 template <typename T> d30()136 inline T d30() { return T(30) * geometry::math::d2r<T>(); } 137 template <typename T> d40()138 inline T d40() { return T(40) * geometry::math::d2r<T>(); } 139 template <typename T> d50()140 inline T d50() { return T(50) * geometry::math::d2r<T>(); } 141 template <typename T> d60()142 inline T d60() { return T(60) * geometry::math::d2r<T>(); } 143 template <typename T> d80()144 inline T d80() { return T(80) * geometry::math::d2r<T>(); } 145 template <typename T> d90()146 inline T d90() { return T(90) * geometry::math::d2r<T>(); } 147 template <typename T> d100()148 inline T d100() { return T(100) * geometry::math::d2r<T>(); } 149 template <typename T> d140()150 inline T d140() { return T(140) * geometry::math::d2r<T>(); } 151 template <typename T> d160()152 inline T d160() { return T(160) * geometry::math::d2r<T>(); } 153 template <typename T> d180()154 inline T d180() { return T(180) * geometry::math::d2r<T>(); } 155 156 static const double epsilon = 1.e-10; // allow a little 'slack' on zone edge positions 157 158 template <typename T, typename Parameters> 159 struct base_igh_spheroid 160 { 161 par_igh<T, Parameters> m_proj_parm; 162 163 template <typename Params> base_igh_spheroidboost::geometry::projections::detail::igh::base_igh_spheroid164 inline base_igh_spheroid(Params const& params, Parameters & par) 165 : m_proj_parm(params, par) 166 {} 167 168 // FORWARD(s_forward) spheroid 169 // Project coordinates from geographic (lon, lat) to cartesian (x, y) fwdboost::geometry::projections::detail::igh::base_igh_spheroid170 inline void fwd(Parameters const& par, T lp_lon, T const& lp_lat, T& xy_x, T& xy_y) const 171 { 172 static const T d4044118 = igh::d4044118<T>(); 173 static const T d20 = igh::d20<T>(); 174 static const T d40 = igh::d40<T>(); 175 static const T d80 = igh::d80<T>(); 176 static const T d100 = igh::d100<T>(); 177 178 int z; 179 if (lp_lat >= d4044118) { // 1|2 180 z = (lp_lon <= -d40 ? 1: 2); 181 } 182 else if (lp_lat >= 0) { // 3|4 183 z = (lp_lon <= -d40 ? 3: 4); 184 } 185 else if (lp_lat >= -d4044118) { // 5|6|7|8 186 if (lp_lon <= -d100) z = 5; // 5 187 else if (lp_lon <= -d20) z = 6; // 6 188 else if (lp_lon <= d80) z = 7; // 7 189 else z = 8; // 8 190 } 191 else { // 9|10|11|12 192 if (lp_lon <= -d100) z = 9; // 9 193 else if (lp_lon <= -d20) z = 10; // 10 194 else if (lp_lon <= d80) z = 11; // 11 195 else z = 12; // 12 196 } 197 198 lp_lon -= this->m_proj_parm.get_zone(z).lam0; 199 this->m_proj_parm.fwd(z, par, lp_lon, lp_lat, xy_x, xy_y); 200 xy_x += this->m_proj_parm.get_zone(z).x0; 201 xy_y += this->m_proj_parm.get_zone(z).y0; 202 } 203 204 // INVERSE(s_inverse) spheroid 205 // Project coordinates from cartesian (x, y) to geographic (lon, lat) invboost::geometry::projections::detail::igh::base_igh_spheroid206 inline void inv(Parameters const& par, T xy_x, T xy_y, T& lp_lon, T& lp_lat) const 207 { 208 static const T d4044118 = igh::d4044118<T>(); 209 static const T d10 = igh::d10<T>(); 210 static const T d20 = igh::d20<T>(); 211 static const T d40 = igh::d40<T>(); 212 static const T d50 = igh::d50<T>(); 213 static const T d60 = igh::d60<T>(); 214 static const T d80 = igh::d80<T>(); 215 static const T d90 = igh::d90<T>(); 216 static const T d100 = igh::d100<T>(); 217 static const T d160 = igh::d160<T>(); 218 static const T d180 = igh::d180<T>(); 219 220 static const T c2 = 2.0; 221 222 const T y90 = this->m_proj_parm.dy0 + sqrt(c2); // lt=90 corresponds to y=y0+sqrt(2.0) 223 224 int z = 0; 225 if (xy_y > y90+epsilon || xy_y < -y90+epsilon) // 0 226 z = 0; 227 else if (xy_y >= d4044118) // 1|2 228 z = (xy_x <= -d40? 1: 2); 229 else if (xy_y >= 0) // 3|4 230 z = (xy_x <= -d40? 3: 4); 231 else if (xy_y >= -d4044118) { // 5|6|7|8 232 if (xy_x <= -d100) z = 5; // 5 233 else if (xy_x <= -d20) z = 6; // 6 234 else if (xy_x <= d80) z = 7; // 7 235 else z = 8; // 8 236 } 237 else { // 9|10|11|12 238 if (xy_x <= -d100) z = 9; // 9 239 else if (xy_x <= -d20) z = 10; // 10 240 else if (xy_x <= d80) z = 11; // 11 241 else z = 12; // 12 242 } 243 244 if (z) 245 { 246 int ok = 0; 247 248 xy_x -= this->m_proj_parm.get_zone(z).x0; 249 xy_y -= this->m_proj_parm.get_zone(z).y0; 250 this->m_proj_parm.inv(z, par, xy_x, xy_y, lp_lon, lp_lat); 251 lp_lon += this->m_proj_parm.get_zone(z).lam0; 252 253 switch (z) { 254 case 1: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d40+epsilon) || 255 ((lp_lon >= -d40-epsilon && lp_lon <= -d10+epsilon) && 256 (lp_lat >= d60-epsilon && lp_lat <= d90+epsilon)); break; 257 case 2: ok = (lp_lon >= -d40-epsilon && lp_lon <= d180+epsilon) || 258 ((lp_lon >= -d180-epsilon && lp_lon <= -d160+epsilon) && 259 (lp_lat >= d50-epsilon && lp_lat <= d90+epsilon)) || 260 ((lp_lon >= -d50-epsilon && lp_lon <= -d40+epsilon) && 261 (lp_lat >= d60-epsilon && lp_lat <= d90+epsilon)); break; 262 case 3: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d40+epsilon); break; 263 case 4: ok = (lp_lon >= -d40-epsilon && lp_lon <= d180+epsilon); break; 264 case 5: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d100+epsilon); break; 265 case 6: ok = (lp_lon >= -d100-epsilon && lp_lon <= -d20+epsilon); break; 266 case 7: ok = (lp_lon >= -d20-epsilon && lp_lon <= d80+epsilon); break; 267 case 8: ok = (lp_lon >= d80-epsilon && lp_lon <= d180+epsilon); break; 268 case 9: ok = (lp_lon >= -d180-epsilon && lp_lon <= -d100+epsilon); break; 269 case 10: ok = (lp_lon >= -d100-epsilon && lp_lon <= -d20+epsilon); break; 270 case 11: ok = (lp_lon >= -d20-epsilon && lp_lon <= d80+epsilon); break; 271 case 12: ok = (lp_lon >= d80-epsilon && lp_lon <= d180+epsilon); break; 272 } 273 274 z = (!ok? 0: z); // projectable? 275 } 276 // if (!z) pj_errno = -15; // invalid x or y 277 if (!z) lp_lon = HUGE_VAL; 278 if (!z) lp_lat = HUGE_VAL; 279 } 280 get_nameboost::geometry::projections::detail::igh::base_igh_spheroid281 static inline std::string get_name() 282 { 283 return "igh_spheroid"; 284 } 285 286 }; 287 288 // Interrupted Goode Homolosine 289 template <typename Params, typename Parameters, typename T> setup_igh(Params const & params,Parameters & par,par_igh<T,Parameters> & proj_parm)290 inline void setup_igh(Params const& params, Parameters& par, par_igh<T, Parameters>& proj_parm) 291 { 292 static const T d0 = 0; 293 static const T d4044118 = igh::d4044118<T>(); 294 static const T d20 = igh::d20<T>(); 295 static const T d30 = igh::d30<T>(); 296 static const T d60 = igh::d60<T>(); 297 static const T d100 = igh::d100<T>(); 298 static const T d140 = igh::d140<T>(); 299 static const T d160 = igh::d160<T>(); 300 301 /* 302 Zones: 303 304 -180 -40 180 305 +--------------+-------------------------+ Zones 1,2,9,10,11 & 12: 306 |1 |2 | Mollweide projection 307 | | | 308 +--------------+-------------------------+ Zones 3,4,5,6,7 & 8: 309 |3 |4 | Sinusoidal projection 310 | | | 311 0 +-------+------+-+-----------+-----------+ 312 |5 |6 |7 |8 | 313 | | | | | 314 +-------+--------+-----------+-----------+ 315 |9 |10 |11 |12 | 316 | | | | | 317 +-------+--------+-----------+-----------+ 318 -180 -100 -20 80 180 319 */ 320 321 T lp_lam = 0, lp_phi = d4044118; 322 T xy1_x, xy1_y; 323 T xy3_x, xy3_y; 324 325 // sinusoidal zones 326 proj_parm.set_zone(3, -d100, d0, -d100); 327 proj_parm.set_zone(4, d30, d0, d30); 328 proj_parm.set_zone(5, -d160, d0, -d160); 329 proj_parm.set_zone(6, -d60, d0, -d60); 330 proj_parm.set_zone(7, d20, d0, d20); 331 proj_parm.set_zone(8, d140, d0, d140); 332 333 // mollweide zones 334 proj_parm.set_zone(1, -d100, d0, -d100); 335 336 // NOTE: x0, y0, lam0 are not used in moll nor sinu fwd 337 // so the order of initialization doesn't matter that much. 338 // But keep the original one from Proj4. 339 340 // y0 ? 341 proj_parm.fwd(1, par, lp_lam, lp_phi, xy1_x, xy1_y); // zone 1 342 proj_parm.fwd(3, par, lp_lam, lp_phi, xy3_x, xy3_y); // zone 3 343 // y0 + xy1_y = xy3_y for lt = 40d44'11.8" 344 proj_parm.dy0 = xy3_y - xy1_y; 345 346 proj_parm.zones[0].y0 = proj_parm.dy0; // zone 1 347 348 // mollweide zones (cont'd) 349 proj_parm.set_zone(2, d30, proj_parm.dy0, d30); 350 proj_parm.set_zone(9, -d160, -proj_parm.dy0, -d160); 351 proj_parm.set_zone(10, -d60, -proj_parm.dy0, -d60); 352 proj_parm.set_zone(11, d20, -proj_parm.dy0, d20); 353 proj_parm.set_zone(12, d140, -proj_parm.dy0, d140); 354 355 // NOTE: Already done before in sinu and moll constructor 356 //par.es = 0.; 357 } 358 359 }} // namespace detail::igh 360 #endif // doxygen 361 362 /*! 363 \brief Interrupted Goode Homolosine projection 364 \ingroup projections 365 \tparam Geographic latlong point type 366 \tparam Cartesian xy point type 367 \tparam Parameters parameter type 368 \par Projection characteristics 369 - Pseudocylindrical 370 - Spheroid 371 \par Example 372 \image html ex_igh.gif 373 */ 374 template <typename T, typename Parameters> 375 struct igh_spheroid : public detail::igh::base_igh_spheroid<T, Parameters> 376 { 377 template <typename Params> igh_spheroidboost::geometry::projections::igh_spheroid378 inline igh_spheroid(Params const& params, Parameters & par) 379 : detail::igh::base_igh_spheroid<T, Parameters>(params, par) 380 { 381 detail::igh::setup_igh(params, par, this->m_proj_parm); 382 } 383 }; 384 385 #ifndef DOXYGEN_NO_DETAIL 386 namespace detail 387 { 388 389 // Static projection BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_igh,igh_spheroid)390 BOOST_GEOMETRY_PROJECTIONS_DETAIL_STATIC_PROJECTION_FI(srs::spar::proj_igh, igh_spheroid) 391 392 // Factory entry(s) 393 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_ENTRY_FI(igh_entry, igh_spheroid) 394 395 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_BEGIN(igh_init) 396 { 397 BOOST_GEOMETRY_PROJECTIONS_DETAIL_FACTORY_INIT_ENTRY(igh, igh_entry) 398 } 399 400 } // namespace detail 401 #endif // doxygen 402 403 } // namespace projections 404 405 }} // namespace boost::geometry 406 407 #endif // BOOST_GEOMETRY_PROJECTIONS_IGH_HPP 408 409