Coverage for gws-app/gws/lib/crs/__init__.py: 74%

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1from typing import Optional 

2 

3import math 

4import re 

5import warnings 

6 

7import pyproj.crs 

8import pyproj.exceptions 

9import pyproj.transformer 

10 

11import gws 

12 

13 

14## 

15 

16 

17class Object(gws.Crs): 

18 def __init__(self, **kwargs): 

19 vars(self).update(kwargs) 

20 

21 # crs objects with the same srid must be equal 

22 # (despite caching, they can be different due to pickling) 

23 

24 def __hash__(self): 

25 return self.srid 

26 

27 def __eq__(self, other): 

28 return isinstance(other, Object) and other.srid == self.srid 

29 

30 def __repr__(self): 

31 return f'<crs:{self.srid}>' 

32 

33 def axis_for_format(self, fmt): 

34 if not self.isYX: 

35 return self.axis 

36 return _AXIS_FOR_FORMAT.get(fmt, self.axis) 

37 

38 def transform_extent(self, ext, crs_to): 

39 if crs_to == self: 

40 return ext 

41 return _transform_extent(ext, self.srid, crs_to.srid) 

42 

43 def transformer(self, crs_to): 

44 tr = _pyproj_transformer(self.srid, crs_to.srid) 

45 return tr.transform 

46 

47 def extent_size_in_meters(self, extent): 

48 x0, y0, x1, y1 = extent 

49 

50 if self.isProjected: 

51 if self.uom != gws.Uom.m: 

52 # @TODO support non-meter crs 

53 raise Error(f'unsupported unit: {self.uom}') 

54 return abs(x1 - x0), abs(y1 - y0) 

55 

56 geod = pyproj.Geod(ellps='WGS84') 

57 

58 mid_lat = (y0 + y1) / 2 

59 _, _, w = geod.inv(x0, mid_lat, x1, mid_lat) 

60 mid_lon = (x0 + x1) / 2 

61 _, _, h = geod.inv(mid_lon, y0, mid_lon, y1) 

62 

63 return w, h 

64 

65 def point_offset_in_meters(self, xy, dist, az): 

66 x, y = xy 

67 

68 if self.isProjected: 

69 if self.uom != gws.Uom.m: 

70 # @TODO support non-meter crs 

71 raise Error(f'unsupported unit: {self.uom}') 

72 

73 if az == 0: 

74 return x, y + dist 

75 if az == 90: 

76 return x + dist, y 

77 if az == 180: 

78 return x, y - dist 

79 if az == 270: 

80 return x - dist, y 

81 

82 az_rad = math.radians(90 - az) 

83 return ( 

84 x + dist * math.cos(az_rad), 

85 y + dist * math.sin(az_rad), 

86 ) 

87 

88 geod = pyproj.Geod(ellps='WGS84') 

89 x, y, _ = geod.fwd(x, y, dist=dist, az=az) 

90 return x, y 

91 

92 def to_string(self, fmt=None): 

93 return getattr(self, str(fmt or gws.CrsFormat.epsg).lower()) 

94 

95 def to_geojson(self): 

96 # https://geojson.org/geojson-spec#named-crs 

97 return { 

98 'type': 'name', 

99 'properties': { 

100 'name': self.urn, 

101 }, 

102 } 

103 

104 

105# 

106 

107 

108def qgis_extent_width(extent: gws.Extent) -> float: 

109 # straight port from QGIS/src/core/qgsscalecalculator.cpp QgsScaleCalculator::calculateGeographicDistance 

110 x0, y0, x1, y1 = extent 

111 

112 lat = (y0 + y1) * 0.5 

113 RADS = (4.0 * math.atan(1.0)) / 180.0 

114 a = math.pow(math.cos(lat * RADS), 2) 

115 c = 2.0 * math.atan2(math.sqrt(a), math.sqrt(1.0 - a)) 

116 RA = 6378000 

117 E = 0.0810820288 

118 radius = RA * (1.0 - E * E) / math.pow(1.0 - E * E * math.sin(lat * RADS) * math.sin(lat * RADS), 1.5) 

119 return (x1 - x0) / 180.0 * radius * c 

120 

121 

122# 

123 

124# enough precision to represent 1cm 

125COORDINATE_PRECISION_DEG = 7 

126COORDINATE_PRECISION_M = 2 

127 

128WGS84 = Object( 

129 srid=4326, 

130 proj4text='+proj=longlat +datum=WGS84 +no_defs +type=crs', 

131 wkt='GEOGCRS["WGS 84",ENSEMBLE["World Geodetic System 1984 ensemble",MEMBER["World Geodetic System 1984 (Transit)"],MEMBER["World Geodetic System 1984 (G730)"],MEMBER["World Geodetic System 1984 (G873)"],MEMBER["World Geodetic System 1984 (G1150)"],MEMBER["World Geodetic System 1984 (G1674)"],MEMBER["World Geodetic System 1984 (G1762)"],MEMBER["World Geodetic System 1984 (G2139)"],ELLIPSOID["WGS 84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],CS[ellipsoidal,2],AXIS["geodetic latitude (Lat)",north,ORDER[1],ANGLEUNIT["degree",0.0174532925199433]],AXIS["geodetic longitude (Lon)",east,ORDER[2],ANGLEUNIT["degree",0.0174532925199433]],USAGE[SCOPE["Horizontal component of 3D system."],AREA["World."],BBOX[-90,-180,90,180]],ID["EPSG",4326]]', 

132 axis=gws.Axis.yx, 

133 uom=gws.Uom.deg, 

134 isGeographic=True, 

135 isProjected=False, 

136 isYX=True, 

137 epsg='EPSG:4326', 

138 urn='urn:ogc:def:crs:EPSG::4326', 

139 urnx='urn:x-ogc:def:crs:EPSG:4326', 

140 url='http://www.opengis.net/gml/srs/epsg.xml#4326', 

141 uri='http://www.opengis.net/def/crs/epsg/0/4326', 

142 name='WGS 84', 

143 base=0, 

144 datum='World Geodetic System 1984 ensemble', 

145 wgsExtent=(-180, -90, 180, 90), 

146 extent=(-180, -90, 180, 90), 

147 coordinatePrecision=COORDINATE_PRECISION_DEG, 

148) 

149 

150WGS84.bounds = gws.Bounds(crs=WGS84, extent=WGS84.extent) 

151 

152WEBMERCATOR = Object( 

153 srid=3857, 

154 proj4text='+proj=merc +a=6378137 +b=6378137 +lat_ts=0 +lon_0=0 +x_0=0 +y_0=0 +k=1 +units=m +nadgrids=@null +wktext +no_defs +type=crs', 

155 wkt='PROJCRS["WGS 84 / Pseudo-Mercator",BASEGEOGCRS["WGS 84",ENSEMBLE["World Geodetic System 1984 ensemble",MEMBER["World Geodetic System 1984 (Transit)"],MEMBER["World Geodetic System 1984 (G730)"],MEMBER["World Geodetic System 1984 (G873)"],MEMBER["World Geodetic System 1984 (G1150)"],MEMBER["World Geodetic System 1984 (G1674)"],MEMBER["World Geodetic System 1984 (G1762)"],MEMBER["World Geodetic System 1984 (G2139)"],ELLIPSOID["WGS 84",6378137,298.257223563,LENGTHUNIT["metre",1]],ENSEMBLEACCURACY[2.0]],PRIMEM["Greenwich",0,ANGLEUNIT["degree",0.0174532925199433]],ID["EPSG",4326]],CONVERSION["Popular Visualisation Pseudo-Mercator",METHOD["Popular Visualisation Pseudo Mercator",ID["EPSG",1024]],PARAMETER["Latitude of natural origin",0,ANGLEUNIT["degree",0.0174532925199433],ID["EPSG",8801]],PARAMETER["Longitude of natural origin",0,ANGLEUNIT["degree",0.0174532925199433],ID["EPSG",8802]],PARAMETER["False easting",0,LENGTHUNIT["metre",1],ID["EPSG",8806]],PARAMETER["False northing",0,LENGTHUNIT["metre",1],ID["EPSG",8807]]],CS[Cartesian,2],AXIS["easting (X)",east,ORDER[1],LENGTHUNIT["metre",1]],AXIS["northing (Y)",north,ORDER[2],LENGTHUNIT["metre",1]],USAGE[SCOPE["Web mapping and visualisation."],AREA["World between 85.06°S and 85.06°N."],BBOX[-85.06,-180,85.06,180]],ID["EPSG",3857]]', 

156 axis=gws.Axis.xy, 

157 uom=gws.Uom.m, 

158 isGeographic=False, 

159 isProjected=True, 

160 isYX=False, 

161 epsg='EPSG:3857', 

162 urn='urn:ogc:def:crs:EPSG::3857', 

163 urnx='urn:x-ogc:def:crs:EPSG:3857', 

164 url='http://www.opengis.net/gml/srs/epsg.xml#3857', 

165 uri='http://www.opengis.net/def/crs/epsg/0/3857', 

166 name='WGS 84 / Pseudo-Mercator', 

167 base=4326, 

168 datum='World Geodetic System 1984 ensemble', 

169 wgsExtent=(-180, -85.06, 180, 85.06), 

170 extent=( 

171 -20037508.342789244, 

172 -20048966.104014598, 

173 20037508.342789244, 

174 20048966.104014598, 

175 ), 

176 coordinatePrecision=COORDINATE_PRECISION_M, 

177) 

178 

179WEBMERCATOR.bounds = gws.Bounds(crs=WEBMERCATOR, extent=WEBMERCATOR.extent) 

180 

181WEBMERCATOR_RADIUS = 6378137 

182WEBMERCATOR_SQUARE = ( 

183 -math.pi * WEBMERCATOR_RADIUS, 

184 -math.pi * WEBMERCATOR_RADIUS, 

185 +math.pi * WEBMERCATOR_RADIUS, 

186 +math.pi * WEBMERCATOR_RADIUS, 

187) 

188 

189 

190class Error(gws.Error): 

191 pass 

192 

193 

194def get(crs_name: Optional[gws.CrsName]) -> Optional[gws.Crs]: 

195 """Returns the CRS for a given CRS-code or SRID.""" 

196 if not crs_name: 

197 return None 

198 return _get_crs(crs_name) 

199 

200 

201def parse(crs_name: gws.CrsName) -> tuple[gws.CrsFormat, Optional[gws.Crs]]: 

202 """Parses a CRS to a tuple of CRS-format and the CRS itself.""" 

203 fmt, srid = _parse(crs_name) 

204 if not fmt: 

205 return gws.CrsFormat.none, None 

206 return fmt, _get_crs(srid) 

207 

208 

209def require(crs_name: gws.CrsName) -> gws.Crs: 

210 """Raises an error if no correct CRS is given.""" 

211 crs = _get_crs(crs_name) 

212 if not crs: 

213 raise Error(f'invalid CRS {crs_name!r}') 

214 return crs 

215 

216 

217## 

218 

219 

220def best_match(crs: gws.Crs, supported_crs: list[gws.Crs]) -> gws.Crs: 

221 """Return a crs from the list that most closely matches the given crs. 

222 

223 Args: 

224 crs: target CRS 

225 supported_crs: CRS list 

226 

227 Returns: 

228 A CRS object 

229 """ 

230 

231 if crs in supported_crs: 

232 return crs 

233 

234 bst = _best_match(crs, supported_crs) 

235 if not bst: 

236 bst = supported_crs[0] if supported_crs else crs 

237 gws.log.debug(f'CRS: best_crs: using {bst.srid!r} for {crs.srid!r}') 

238 return bst 

239 

240 

241def _best_match(crs, supported_crs): 

242 # @TODO find a projection with less errors 

243 # @TODO find a projection with same units 

244 

245 if crs.isProjected: 

246 # for a projected crs, find webmercator 

247 for sup in supported_crs: 

248 if sup.srid == WEBMERCATOR.srid: 

249 return sup 

250 

251 # not found, return the first projected crs 

252 for sup in supported_crs: 

253 if sup.isProjected: 

254 return sup 

255 

256 if crs.isGeographic: 

257 # for a geographic crs, try wgs first 

258 for sup in supported_crs: 

259 if sup.srid == WGS84.srid: 

260 return sup 

261 

262 # not found, return the first geographic crs 

263 for sup in supported_crs: 

264 if sup.isGeographic: 

265 return sup 

266 

267 

268## 

269 

270 

271def _get_crs(crs_name): 

272 if crs_name in _obj_cache: 

273 return _obj_cache[crs_name] 

274 

275 fmt, srid = _parse(crs_name) 

276 if not fmt: 

277 _obj_cache[crs_name] = None 

278 return None 

279 

280 if srid in _obj_cache: 

281 _obj_cache[crs_name] = _obj_cache[srid] 

282 return _obj_cache[srid] 

283 

284 obj = _get_new_crs(srid) 

285 _obj_cache[crs_name] = _obj_cache[srid] = obj 

286 return obj 

287 

288 

289def _get_new_crs(srid): 

290 pp = _pyproj_crs_object(srid) 

291 if not pp: 

292 gws.log.error(f'CRS: unknown srid {srid!r}') 

293 return None 

294 

295 au = _axis_and_unit(pp) 

296 if not au: 

297 gws.log.error(f'CRS: unsupported srid {srid!r}') 

298 return None 

299 

300 axis, uom = au 

301 if uom not in (gws.Uom.m, gws.Uom.deg): 

302 gws.log.error(f'CRS: unsupported unit {uom!r} for {srid!r}') 

303 return None 

304 

305 return _make_crs(srid, pp, axis, uom) 

306 

307 

308def _pyproj_crs_object(srid) -> Optional[pyproj.CRS]: 

309 if srid in _pyproj_cache: 

310 return _pyproj_cache[srid] 

311 

312 try: 

313 pp = pyproj.CRS.from_epsg(srid) 

314 except pyproj.exceptions.CRSError: 

315 return None 

316 

317 _pyproj_cache[srid] = pp 

318 return _pyproj_cache[srid] 

319 

320 

321def _pyproj_transformer(srid_from, srid_to) -> pyproj.transformer.Transformer: 

322 key = srid_from, srid_to 

323 

324 if key in _transformer_cache: 

325 return _transformer_cache[key] 

326 

327 pa = _pyproj_crs_object(srid_from) 

328 pb = _pyproj_crs_object(srid_to) 

329 

330 _transformer_cache[key] = pyproj.transformer.Transformer.from_crs(pa, pb, always_xy=True) 

331 return _transformer_cache[key] 

332 

333 

334def _transform_extent(ext, srid_from, srid_to): 

335 tr = _pyproj_transformer(srid_from, srid_to) 

336 

337 e = tr.transform_bounds( 

338 left=min(ext[0], ext[2]), 

339 bottom=min(ext[1], ext[3]), 

340 right=max(ext[0], ext[2]), 

341 top=max(ext[1], ext[3]), 

342 ) 

343 

344 return ( 

345 min(e[0], e[2]), 

346 min(e[1], e[3]), 

347 max(e[0], e[2]), 

348 max(e[1], e[3]), 

349 ) 

350 

351 

352def _make_crs(srid, pp, axis, uom): 

353 crs = Object() 

354 

355 crs.srid = srid 

356 

357 with warnings.catch_warnings(): 

358 warnings.simplefilter('ignore') 

359 try: 

360 crs.proj4text = pp.to_proj4() 

361 except pyproj.exceptions.CRSError: 

362 gws.log.error(f'CRS: cannot convert {srid!r} to proj4') 

363 return None 

364 

365 crs.wkt = pp.to_wkt() 

366 

367 crs.axis = axis 

368 crs.uom = uom 

369 crs.coordinatePrecision = COORDINATE_PRECISION_M if uom == gws.Uom.m else COORDINATE_PRECISION_DEG 

370 

371 crs.isGeographic = pp.is_geographic 

372 crs.isProjected = pp.is_projected 

373 crs.isYX = crs.axis == gws.Axis.yx 

374 

375 crs.epsg = _unparse(crs.srid, gws.CrsFormat.epsg) 

376 crs.urn = _unparse(crs.srid, gws.CrsFormat.urn) 

377 crs.urnx = _unparse(crs.srid, gws.CrsFormat.urnx) 

378 crs.url = _unparse(crs.srid, gws.CrsFormat.url) 

379 crs.uri = _unparse(crs.srid, gws.CrsFormat.uri) 

380 

381 # see https://proj.org/schemas/v0.5/projjson.schema.json 

382 d = pp.to_json_dict() 

383 

384 crs.name = d.get('name') or str(crs.srid) 

385 

386 def _datum(x): 

387 if 'datum_ensemble' in x: 

388 return x['datum_ensemble']['name'] 

389 if 'datum' in x: 

390 return x['datum']['name'] 

391 return '' 

392 

393 def _bbox(d): 

394 b = d.get('bbox') 

395 if b: 

396 # pyproj 3.6 

397 return b 

398 if d.get('usages'): 

399 # pyproj 3.7 

400 for u in d['usages']: 

401 b = u.get('bbox') 

402 if b: 

403 return b 

404 

405 b = d.get('base_crs') 

406 if b: 

407 crs.base = b['id']['code'] 

408 crs.datum = _datum(b) 

409 else: 

410 crs.base = 0 

411 crs.datum = _datum(d) 

412 

413 b = _bbox(d) 

414 if not b: 

415 gws.log.error(f'CRS: no bbox for {crs.srid!r}') 

416 return 

417 

418 crs.wgsExtent = ( 

419 b['west_longitude'], 

420 b['south_latitude'], 

421 b['east_longitude'], 

422 b['north_latitude'], 

423 ) 

424 crs.extent = _transform_extent(crs.wgsExtent, WGS84.srid, srid) 

425 crs.bounds = gws.Bounds(extent=crs.extent, crs=crs) 

426 

427 return crs 

428 

429 

430_AXES_AND_UNITS = { 

431 'Easting/metre,Northing/metre': (gws.Axis.xy, gws.Uom.m), 

432 'Northing/metre,Easting/metre': (gws.Axis.yx, gws.Uom.m), 

433 'Geodetic latitude/degree,Geodetic longitude/degree': (gws.Axis.yx, gws.Uom.deg), 

434 'Geodetic longitude/degree,Geodetic latitude/degree': (gws.Axis.xy, gws.Uom.deg), 

435 'Easting/US survey foot,Northing/US survey foot': (gws.Axis.xy, gws.Uom.us_ft), 

436 'Easting/foot,Northing/foot': (gws.Axis.xy, gws.Uom.ft), 

437} 

438 

439 

440def _axis_and_unit(pp): 

441 ax = [] 

442 for a in pp.axis_info: 

443 ax.append(a.name + '/' + a.unit_name) 

444 return _AXES_AND_UNITS.get(','.join(ax)) 

445 

446 

447## 

448 

449""" 

450Projections can be referenced by: 

451 

452 - int/numeric SRID: 4326 

453 - EPSG Code: EPSG:4326 

454 - OGC HTTP URL: http://www.opengis.net/gml/srs/epsg.xml#4326 

455 - OGC Experimental URN: urn:x-ogc:def:crs:EPSG:4326 

456 - OGC URN: urn:ogc:def:crs:EPSG::4326 

457 - OGC HTTP URI: http://www.opengis.net/def/crs/EPSG/0/4326 

458 

459# https://docs.geoserver.org/stable/en/user/services/wfs/webadmin.html#gml 

460""" 

461 

462_WRITE_FORMATS = { 

463 gws.CrsFormat.srid: '{:d}', 

464 gws.CrsFormat.epsg: 'EPSG:{:d}', 

465 gws.CrsFormat.url: 'http://www.opengis.net/gml/srs/epsg.xml#{:d}', 

466 gws.CrsFormat.uri: 'http://www.opengis.net/def/crs/epsg/0/{:d}', 

467 gws.CrsFormat.urnx: 'urn:x-ogc:def:crs:EPSG:{:d}', 

468 gws.CrsFormat.urn: 'urn:ogc:def:crs:EPSG::{:d}', 

469} 

470 

471_PARSE_FORMATS = { 

472 gws.CrsFormat.srid: r'^(\d+)$', 

473 gws.CrsFormat.epsg: r'^epsg:(\d+)$', 

474 gws.CrsFormat.url: r'^http://www.opengis.net/gml/srs/epsg.xml#(\d+)$', 

475 gws.CrsFormat.uri: r'http://www.opengis.net/def/crs/epsg/0/(\d+)$', 

476 gws.CrsFormat.urnx: r'^urn:x-ogc:def:crs:epsg:(\d+)$', 

477 gws.CrsFormat.urn: r'^urn:ogc:def:crs:epsg:[0-9.]*:(\d+)$', 

478} 

479 

480# @TODO 

481 

482_aliases = { 

483 'crs:84': 4326, 

484 'crs84': 4326, 

485 'urn:ogc:def:crs:ogc:1.3:crs84': 'urn:ogc:def:crs:epsg::4326', 

486 'wgs84': 4326, 

487 'epsg:900913': 3857, 

488 'epsg:102100': 3857, 

489 'epsg:102113': 3857, 

490} 

491 

492# https://docs.geoserver.org/latest/en/user/services/wfs/axis_order.html 

493# EPSG:4326 longitude/latitude 

494# http://www.opengis.net/gml/srs/epsg.xml#xxxx longitude/latitude 

495# urn:x-ogc:def:crs:EPSG:xxxx latitude/longitude 

496# urn:ogc:def:crs:EPSG::4326 latitude/longitude 

497 

498_AXIS_FOR_FORMAT = { 

499 gws.CrsFormat.srid: gws.Axis.xy, 

500 gws.CrsFormat.epsg: gws.Axis.xy, 

501 gws.CrsFormat.url: gws.Axis.xy, 

502 gws.CrsFormat.uri: gws.Axis.xy, 

503 gws.CrsFormat.urnx: gws.Axis.yx, 

504 gws.CrsFormat.urn: gws.Axis.yx, 

505} 

506 

507 

508def _parse(crs_name): 

509 if isinstance(crs_name, int): 

510 return gws.CrsFormat.epsg, crs_name 

511 

512 if isinstance(crs_name, bytes): 

513 crs_name = crs_name.decode('ascii').lower() 

514 

515 if isinstance(crs_name, str): 

516 crs_name = crs_name.lower() 

517 

518 if crs_name in {'crs84', 'crs:84'}: 

519 return gws.CrsFormat.crs, 4326 

520 

521 if crs_name in _aliases: 

522 crs_name = _aliases[crs_name] 

523 if isinstance(crs_name, int): 

524 return gws.CrsFormat.epsg, int(crs_name) 

525 

526 for fmt, r in _PARSE_FORMATS.items(): 

527 m = re.match(r, crs_name) 

528 if m: 

529 return fmt, int(m.group(1)) 

530 

531 return None, 0 

532 

533 

534def _unparse(srid, fmt): 

535 return _WRITE_FORMATS[fmt].format(srid) 

536 

537 

538## 

539 

540 

541_obj_cache: dict = { 

542 WGS84.srid: WGS84, 

543 WEBMERCATOR.url: WEBMERCATOR, 

544} 

545 

546_pyproj_cache: dict = {} 

547 

548_transformer_cache: dict = {}