Coverage for pygeodesy/css.py: 97%

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1 

2# -*- coding: utf-8 -*- 

3 

4u'''Cassini-Soldner (CSS) projection. 

5 

6Classes L{CassiniSoldner}, L{Css} and L{CSSError} use I{Charles Karney}'s 

7U{geographiclib <https://PyPI.org/project/geographiclib>} Python package 

8if installed, see property L{CassiniSoldner.geodesic}. 

9''' 

10 

11from pygeodesy.basics import _isin, islistuple, neg, _xinstanceof, \ 

12 _xsubclassof 

13from pygeodesy.constants import _umod_360, _0_0, _0_5, _90_0 

14from pygeodesy.datums import _ellipsoidal_datum, _WGS84 

15from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB 

16from pygeodesy.errors import _ValueError, _xdatum, _xellipsoidal, \ 

17 _xattr, _xkwds 

18from pygeodesy.interns import _azimuth_, _COMMASPACE_, _easting_, \ 

19 _lat_, _lon_, _m_, _name_, _northing_, \ 

20 _reciprocal_, _SPACE_ 

21from pygeodesy.interns import _C_ # PYCHOK used! 

22from pygeodesy.karney import _atan2d, _copysign, _diff182, _norm2, \ 

23 _norm180, _signBit, _sincos2d, fabs 

24from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS 

25from pygeodesy.named import _name2__, _NamedBase, _NamedTuple 

26from pygeodesy.namedTuples import EasNor2Tuple, EasNor3Tuple, \ 

27 LatLon2Tuple, LatLon4Tuple, _LL4Tuple 

28from pygeodesy.props import deprecated_Property_RO, Property, \ 

29 Property_RO, _update_all 

30from pygeodesy.streprs import Fmt, _fstrENH2, _fstrLL0, _xzipairs 

31from pygeodesy.units import Azimuth, Degrees, Easting, Height, _heigHt, \ 

32 Lat_, Lon_, Northing, Scalar 

33 

34# from math import fabs # from .karney 

35 

36__all__ = _ALL_LAZY.css 

37__version__ = '25.04.14' 

38 

39 

40def _CS0(cs0): 

41 '''(INTERNAL) Get/set default projection. 

42 ''' 

43 if cs0 is None: 

44 cs0 = Css._CS0 

45 if cs0 is None: 

46 Css._CS0 = cs0 = CassiniSoldner(_0_0, _0_0, name='Default') 

47 else: 

48 _xinstanceof(CassiniSoldner, cs0=cs0) 

49 return cs0 

50 

51 

52class CSSError(_ValueError): 

53 '''Cassini-Soldner (CSS) conversion or other L{Css} issue. 

54 ''' 

55 pass 

56 

57 

58class CassiniSoldner(_NamedBase): 

59 '''Cassini-Soldner projection, a Python version of I{Karney}'s C++ class U{CassiniSoldner 

60 <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1CassiniSoldner.html>}. 

61 ''' 

62 _cb0 = _0_0 

63 _datum = _WGS84 # L{Datum} 

64 _geodesic = None 

65 _latlon0 = () 

66 _meridian = None 

67 _sb0 = _0_0 

68 

69 def __init__(self, lat0, lon0, datum=_WGS84, **name): 

70 '''New L{CassiniSoldner} projection. 

71 

72 @arg lat0: Latitude of center point (C{degrees90}). 

73 @arg lon0: Longitude of center point (C{degrees180}). 

74 @kwarg datum: Optional datum or ellipsoid (L{Datum}, 

75 L{Ellipsoid}, L{Ellipsoid2} or L{a_f2Tuple}). 

76 @kwarg name: Optional C{B{name}=NN} (C{str}). 

77 

78 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. 

79 ''' 

80 if not _isin(datum, None, self._datum): 

81 self._datum = _xellipsoidal(datum=_ellipsoidal_datum(datum, **name)) 

82 if name: 

83 self.name = name 

84 

85 self.reset(lat0, lon0) 

86 

87 @Property 

88 def datum(self): 

89 '''Get the datum (L{Datum}). 

90 ''' 

91 return self._datum 

92 

93 @datum.setter # PYCHOK setter! 

94 def datum(self, datum): 

95 '''Set the datum or ellipsoid (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} 

96 or L{a_f2Tuple}) or C{None} for the default. 

97 ''' 

98 d = CassiniSoldner._datum if datum is None else \ 

99 _xellipsoidal(datum=_ellipsoidal_datum(datum, name=self.name)) 

100 if self._datum != d: 

101 self._datum = d 

102 self.geodesic = None if self._geodesic is None else self.isExact 

103 

104 def _datumatch(self, latlon): 

105 '''Check for matching datum ellipsoids. 

106 

107 @raise CSSError: Ellipsoid mismatch of B{C{latlon}} and this projection. 

108 ''' 

109 d = _xattr(latlon, datum=None) 

110 if d: 

111 _xdatum(self.datum, d, Error=CSSError) 

112 

113 @Property_RO 

114 def equatoradius(self): 

115 '''Get the ellipsoid's equatorial radius, semi-axis (C{meter}). 

116 ''' 

117 return self.geodesic.a 

118 

119 a = equatoradius 

120 

121 @Property_RO 

122 def flattening(self): 

123 '''Get the ellipsoid's flattening (C{scalar}). 

124 ''' 

125 return self.geodesic.f 

126 

127 f = flattening 

128 

129 def forward(self, lat, lon, **name): 

130 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner 

131 easting and northing. 

132 

133 @arg lat: Latitude of the location (C{degrees90}). 

134 @arg lon: Longitude of the location (C{degrees180}). 

135 @kwarg name: Optional C{B{name}=NN} inlieu of this projection's 

136 name (C{str}). 

137 

138 @return: An L{EasNor2Tuple}C{(easting, northing)}. 

139 

140 @see: Methods L{CassiniSoldner.forward4}, L{CassiniSoldner.reverse} 

141 and L{CassiniSoldner.reverse4}. 

142 

143 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. 

144 ''' 

145 t = self.forward6(lat, lon, **name) 

146 return EasNor2Tuple(t.easting, t.northing, name=t.name) 

147 

148 def forward4(self, lat, lon, **name): 

149 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner 

150 easting and northing. 

151 

152 @arg lat: Latitude of the location (C{degrees90}). 

153 @arg lon: Longitude of the location (C{degrees180}). 

154 @kwarg name: Optional B{C{name}=NN} inlieu of this projection's 

155 name (C{str}). 

156 

157 @return: An L{EasNorAziRk4Tuple}C{(easting, northing, 

158 azimuth, reciprocal)}. 

159 

160 @see: Method L{CassiniSoldner.forward}, L{CassiniSoldner.forward6}, 

161 L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}. 

162 

163 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. 

164 ''' 

165 t = self.forward6(lat, lon, **name) 

166 return EasNorAziRk4Tuple(t.easting, t.northing, 

167 t.azimuth, t.reciprocal, name=t.name) 

168 

169 def forward6(self, lat, lon, **name): 

170 '''Convert an (ellipsoidal) geodetic location to Cassini-Soldner 

171 easting and northing. 

172 

173 @arg lat: Latitude of the location (C{degrees90}). 

174 @arg lon: Longitude of the location (C{degrees180}). 

175 @kwarg name: Optional B{C{name}=NN} inlieu of this projection's 

176 name (C{str}). 

177 

178 @return: An L{EasNorAziRkEqu6Tuple}C{(easting, northing, 

179 azimuth, reciprocal, equatorarc, equatorazimuth)}. 

180 

181 @see: Method L{CassiniSoldner.forward}, L{CassiniSoldner.forward4}, 

182 L{CassiniSoldner.reverse} and L{CassiniSoldner.reverse4}. 

183 

184 @raise CSSError: Invalid B{C{lat}} or B{C{lon}}. 

185 ''' 

186 g = self.geodesic 

187 

188 lat = Lat_(lat, Error=CSSError) 

189 d, _ = _diff182(self.lon0, Lon_(lon, Error=CSSError)) # _2sum 

190 D = fabs(d) 

191 

192 r = g.Inverse(lat, -D, lat, D) 

193 z1, a = r.azi1, (r.a12 * _0_5) 

194 z2, e = r.azi2, (r.s12 * _0_5) 

195 if e == 0: # PYCHOK no cover 

196 z = _diff182(z1, z2)[0] * _0_5 # _2sum 

197 c = _copysign(_90_0, 90 - D) # -90 if D > 90 else 90 

198 z1, z2 = c - z, c + z 

199 if _signBit(d): 

200 a, e, z2 = neg(a), neg(e), z1 

201 

202 z = _norm180(z2) # azimuth of easting direction 

203 p = g.Line(lat, d, z, g.DISTANCE | g.GEODESICSCALE | g.LINE_OFF) 

204 # reciprocal of azimuthal northing scale 

205 rk = p.ArcPosition(neg(a), g.GEODESICSCALE).M21 

206 # rk = p._GenPosition(True, -a, g.DISTANCE)[7] 

207 

208 s, c = _sincos2d(p.azi0) # aka equatorazimuth 

209 sb1 = _copysign(c, lat) 

210 cb1 = _copysign(s, 90 - D) # -abs(s) if D > 90 else abs(s) 

211 d = _atan2d(sb1 * self._cb0 - cb1 * self._sb0, 

212 cb1 * self._cb0 + sb1 * self._sb0) 

213 n = self._meridian.ArcPosition(d, g.DISTANCE).s12 

214 # n = self._meridian._GenPosition(True, d, g.DISTANCE)[4] 

215 return EasNorAziRkEqu6Tuple(e, n, z, rk, p.a1, p.azi0, 

216 name=self._name__(name)) 

217 

218 @Property 

219 def geodesic(self): 

220 '''Get this projection's I{wrapped} U{geodesic.Geodesic 

221 <https://GeographicLib.SourceForge.io/Python/doc/code.html>} from 

222 I{Karney}'s U{geographiclib<https://PyPI.org/project/geographiclib>} 

223 package if installed, otherwise an I{exact} L{GeodesicExact 

224 <pygeodesy.geodesicx.GeodesicExact>} instance. 

225 ''' 

226 g = self._geodesic 

227 if g is None: 

228 E = self.datum.ellipsoid 

229 try: 

230 g = E.geodesicw 

231 except ImportError: 

232 g = E.geodesicx 

233 self._geodesic = g 

234 return g 

235 

236 @geodesic.setter # PYCHOK setter! 

237 def geodesic(self, exact): 

238 '''Set this projection's geodesic (C{bool}) to L{GeodesicExact} 

239 or I{wrapped Karney}'s or C{None} for the default. 

240 

241 @raise ImportError: Package U{geographiclib<https://PyPI.org/ 

242 project/geographiclib>} not installed or 

243 not found and C{B{exact}=False}. 

244 ''' 

245 E = self.datum.ellipsoid 

246 self._geodesic = None if exact is None else ( 

247 E.geodesicx if exact else E.geodesicw) 

248 self.reset(*self.latlon0) 

249 

250 @Property_RO 

251 def isExact(self): 

252 '''Return C{True} if this projection's geodesic is L{GeodesicExact 

253 <pygeodesy.geodesicx.GeodesicExact>}. 

254 ''' 

255 return isinstance(self.geodesic, _MODS.geodesicx.GeodesicExact) 

256 

257 @Property_RO 

258 def lat0(self): 

259 '''Get the center latitude (C{degrees90}). 

260 ''' 

261 return self.latlon0.lat 

262 

263 @property 

264 def latlon0(self): 

265 '''Get the center lat- and longitude (L{LatLon2Tuple}C{(lat, lon)}) 

266 in (C{degrees90}, (C{degrees180}). 

267 ''' 

268 return self._latlon0 

269 

270 @latlon0.setter # PYCHOK setter! 

271 def latlon0(self, latlon0): 

272 '''Set the center lat- and longitude (ellipsoidal C{LatLon}, 

273 L{LatLon2Tuple}, L{LatLon4Tuple} or a C{tuple} or C{list} 

274 with the C{lat}- and C{lon}gitude in C{degrees}). 

275 

276 @raise CSSError: Invalid B{C{latlon0}} or ellipsoid mismatch 

277 of B{C{latlon0}} and this projection. 

278 ''' 

279 if islistuple(latlon0, 2): 

280 lat0, lon0 = latlon0[:2] 

281 else: 

282 try: 

283 lat0, lon0 = latlon0.lat, latlon0.lon 

284 self._datumatch(latlon0) 

285 except (AttributeError, TypeError, ValueError) as x: 

286 raise CSSError(latlon0=latlon0, cause=x) 

287 self.reset(lat0, lon0) 

288 

289 @Property_RO 

290 def lon0(self): 

291 '''Get the center longitude (C{degrees180}). 

292 ''' 

293 return self.latlon0.lon 

294 

295 @deprecated_Property_RO 

296 def majoradius(self): # PYCHOK no cover 

297 '''DEPRECATED, use property C{equatoradius}.''' 

298 return self.equatoradius 

299 

300 def reset(self, lat0, lon0): 

301 '''Set or reset the center point of this Cassini-Soldner projection. 

302 

303 @arg lat0: Center point latitude (C{degrees90}). 

304 @arg lon0: Center point longitude (C{degrees180}). 

305 

306 @raise CSSError: Invalid B{C{lat0}} or B{C{lon0}}. 

307 ''' 

308 _update_all(self) 

309 

310 g = self.geodesic 

311 self._meridian = m = g.Line(Lat_(lat0=lat0, Error=CSSError), 

312 Lon_(lon0=lon0, Error=CSSError), 

313 _0_0, caps=g.STANDARD_LINE | g.LINE_OFF) 

314 self._latlon0 = LatLon2Tuple(m.lat1, m.lon1) 

315 s, c = _sincos2d(m.lat1) # == self.lat0 == self.LatitudeOrigin() 

316 self._sb0, self._cb0 = _norm2(s * g.f1, c) 

317 

318 def reverse(self, easting, northing, LatLon=None, **name_LatLon_kwds): 

319 '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic lat- and longitude. 

320 

321 @arg easting: Easting of the location (C{meter}). 

322 @arg northing: Northing of the location (C{meter}). 

323 @kwarg LatLon: Optional, ellipsoidal class to return the geodetic location as 

324 (C{LatLon}) or C{None}. 

325 @kwarg name_LatLon_kwds: Optional name C{B{name}=NN} (C{str}) and optionally, 

326 additional B{C{LatLon}} keyword arguments, ignored if C{B{LatLon} 

327 is None}. 

328 

329 @return: Geodetic location B{C{LatLon}} or if C{B{LatLon} is None}, 

330 a L{LatLon2Tuple}C{(lat, lon)}. 

331 

332 @raise CSSError: Ellipsoidal mismatch of B{C{LatLon}} and this projection. 

333 

334 @raise TypeError: Invalid B{C{LatLon}} or B{C{LatLon_kwds}}. 

335 

336 @see: Method L{CassiniSoldner.reverse4}, L{CassiniSoldner.forward}. 

337 L{CassiniSoldner.forward4} and L{CassiniSoldner.forward6}. 

338 ''' 

339 n, kwds = _name2__(name_LatLon_kwds, _or_nameof=self) 

340 r = self.reverse4(easting, northing, name=n) 

341 if LatLon is None: 

342 r = LatLon2Tuple(r.lat, r.lon, name=r.name) # PYCHOK expected 

343 else: 

344 _xsubclassof(_LLEB, LatLon=LatLon) 

345 kwds = _xkwds(kwds, datum=self.datum, name=r.name) 

346 r = LatLon(r.lat, r.lon, **kwds) # PYCHOK expected 

347 self._datumatch(r) 

348 return r 

349 

350 def reverse4(self, easting, northing, **name): 

351 '''Convert a Cassini-Soldner location to (ellipsoidal) geodetic 

352 lat- and longitude. 

353 

354 @arg easting: Easting of the location (C{meter}). 

355 @arg northing: Northing of the location (C{meter}). 

356 @kwarg name: Optional B{C{name}=NN} inlieu of this projection's 

357 name (C{str}). 

358 

359 @return: A L{LatLonAziRk4Tuple}C{(lat, lon, azimuth, reciprocal)}. 

360 

361 @see: Method L{CassiniSoldner.reverse}, L{CassiniSoldner.forward} 

362 and L{CassiniSoldner.forward4}. 

363 ''' 

364 g = self.geodesic 

365 n = self._meridian.Position(northing) 

366 r = g.Direct(n.lat2, n.lon2, n.azi2 + _90_0, easting, outmask=g.STANDARD | g.GEODESICSCALE) 

367 z = _umod_360(r.azi2) # -180 <= r.azi2 < 180 ... 0 <= z < 360 

368 # include z azimuth of easting direction and rk reciprocal 

369 # of azimuthal northing scale (see C++ member Direct() 5/6 

370 # <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1Geodesic.html>) 

371 return LatLonAziRk4Tuple(r.lat2, r.lon2, z, r.M12, name=self._name__(name)) 

372 

373 toLatLon = reverse # XXX not reverse4 

374 

375 def toRepr(self, prec=6, **unused): # PYCHOK expected 

376 '''Return a string representation of this projection. 

377 

378 @kwarg prec: Number of (decimal) digits, unstripped (C{int}). 

379 

380 @return: This projection as C{"<classname>(lat0, lon0, ...)"} 

381 (C{str}). 

382 ''' 

383 return _fstrLL0(self, prec, True) 

384 

385 def toStr(self, prec=6, sep=_SPACE_, **unused): # PYCHOK expected 

386 '''Return a string representation of this projection. 

387 

388 @kwarg prec: Number of (decimal) digits, unstripped (C{int}). 

389 @kwarg sep: Separator to join (C{str}). 

390 

391 @return: This projection as C{"lat0 lon0"} (C{str}). 

392 ''' 

393 t = _fstrLL0(self, prec, False) 

394 return t if sep is None else sep.join(t) 

395 

396 

397class Css(_NamedBase): 

398 '''Cassini-Soldner East-/Northing location. 

399 ''' 

400 _CS0 = None # default projection (L{CassiniSoldner}) 

401 _cs0 = None # projection (L{CassiniSoldner}) 

402 _easting = _0_0 # easting (C{float}) 

403 _height = 0 # height (C{meter}) 

404 _northing = _0_0 # northing (C{float}) 

405 

406 def __init__(self, e, n, h=0, cs0=None, **name): 

407 '''New L{Css} Cassini-Soldner position. 

408 

409 @arg e: Easting (C{meter}). 

410 @arg n: Northing (C{meter}). 

411 @kwarg h: Optional height (C{meter}). 

412 @kwarg cs0: Optional, the Cassini-Soldner projection 

413 (L{CassiniSoldner}). 

414 @kwarg name: Optional C{B{name}=NN} (C{str}). 

415 

416 @return: The Cassini-Soldner location (L{Css}). 

417 

418 @raise CSSError: If B{C{e}} or B{C{n}} is invalid. 

419 

420 @raise TypeError: If B{C{cs0}} is not L{CassiniSoldner}. 

421 

422 @raise ValueError: Invalid B{C{h}}. 

423 ''' 

424 self._cs0 = _CS0(cs0) 

425 self._easting = Easting(e, Error=CSSError) 

426 self._northing = Northing(n, Error=CSSError) 

427 if h: 

428 self._height = Height(h=h) 

429 if name: 

430 self.name = name 

431 

432 @Property_RO 

433 def azi(self): 

434 '''Get the azimuth of easting direction (C{degrees}). 

435 ''' 

436 return self.reverse4.azimuth 

437 

438 azimuth = azi 

439 

440 @Property 

441 def cs0(self): 

442 '''Get the projection (L{CassiniSoldner}). 

443 ''' 

444 return self._cs0 or Css._CS0 

445 

446 @cs0.setter # PYCHOK setter! 

447 def cs0(self, cs0): 

448 '''Set the I{Cassini-Soldner} projection (L{CassiniSoldner}). 

449 

450 @raise TypeError: Invalid B{C{cs0}}. 

451 ''' 

452 cs0 = _CS0(cs0) 

453 if cs0 != self._cs0: 

454 _update_all(self) 

455 self._cs0 = cs0 

456 

457# def dup(self, **e_n_h_cs0_name): # PYCHOK signature 

458# '''Duplicate this position with some attributes modified. 

459# 

460# @kwarg e_n_h_cs0_name: Use keyword argument C{B{e}=...}, 

461# C{B{n}=...}, C{B{h}=...} and/or C{B{cs0}=...} 

462# to override the current C{easting}, C{northing} 

463# C{height} or C{cs0} projectio, respectively and 

464# an optional C{B{name}=NN} (C{str}). 

465# ''' 

466# def _args_kwds(e=None, n=None, **kwds): 

467# return (e, n), kwds 

468# 

469# kwds = _xkwds(e_n_h_cs0, e=self.easting, n=self.northing, 

470# h=self.height, cs0=self.cs0, 

471# name=_name__(name, _or_nameof(self))) 

472# args, kwds = _args_kwds(**kwds) 

473# return type(self)(*args, **kwds) # .classof 

474 

475 @Property_RO 

476 def easting(self): 

477 '''Get the easting (C{meter}). 

478 ''' 

479 return self._easting 

480 

481 @Property_RO 

482 def height(self): 

483 '''Get the height (C{meter}). 

484 ''' 

485 return self._height 

486 

487 @Property_RO 

488 def latlon(self): 

489 '''Get the lat- and longitude (L{LatLon2Tuple}). 

490 ''' 

491 r = self.reverse4 

492 return LatLon2Tuple(r.lat, r.lon, name=self.name) 

493 

494 @Property_RO 

495 def northing(self): 

496 '''Get the northing (C{meter}). 

497 ''' 

498 return self._northing 

499 

500 @Property_RO 

501 def reverse4(self): 

502 '''Get the lat, lon, azimuth and reciprocal (L{LatLonAziRk4Tuple}). 

503 ''' 

504 return self.cs0.reverse4(self.easting, self.northing, name=self.name) 

505 

506 @Property_RO 

507 def rk(self): 

508 '''Get the reciprocal of azimuthal northing scale (C{scalar}). 

509 ''' 

510 return self.reverse4.reciprocal 

511 

512 reciprocal = rk 

513 

514 def toLatLon(self, LatLon=None, height=None, **LatLon_kwds): 

515 '''Convert this L{Css} to an (ellipsoidal) geodetic point. 

516 

517 @kwarg LatLon: Optional, ellipsoidal class to return the 

518 geodetic point (C{LatLon}) or C{None}. 

519 @kwarg height: Optional height for the point, overriding the 

520 default height (C{meter}). 

521 @kwarg LatLon_kwds: Optional, additional B{C{LatLon}} keyword 

522 arguments, ignored if C{B{LatLon} is None}. 

523 

524 @return: The geodetic point (B{C{LatLon}}) or if C{B{LatLon} is 

525 None}, a L{LatLon4Tuple}C{(lat, lon, height, datum)}. 

526 

527 @raise TypeError: If B{C{LatLon}} or B{C{datum}} is not 

528 ellipsoidal or invalid B{C{height}} or 

529 B{C{LatLon_kwds}}. 

530 ''' 

531 if LatLon: 

532 _xsubclassof(_LLEB, LatLon=LatLon) 

533 

534 lat, lon = self.latlon 

535 h = _heigHt(self, height) 

536 return _LL4Tuple(lat, lon, h, self.cs0.datum, LatLon, LatLon_kwds, 

537 inst=self, name=self.name) 

538 

539 def toRepr(self, prec=6, fmt=Fmt.SQUARE, sep=_COMMASPACE_, m=_m_, C=False): # PYCHOK expected 

540 '''Return a string representation of this L{Css} position. 

541 

542 @kwarg prec: Number of (decimal) digits, unstripped (C{int}). 

543 @kwarg fmt: Enclosing backets format (C{str}). 

544 @kwarg sep: Optional separator between name:values (C{str}). 

545 @kwarg m: Optional unit of the height, default meter (C{str}). 

546 @kwarg C: Optionally, include name of projection (C{bool}). 

547 

548 @return: This position as C{"[E:meter, N:meter, H:m, name:'', 

549 C:Conic.Datum]"} (C{str}). 

550 ''' 

551 t, T = _fstrENH2(self, prec, m) 

552 if self.name: 

553 t += repr(self.name), 

554 T += _name_, 

555 if C: 

556 t += self.cs0.toRepr(prec=prec), 

557 T += _C_, 

558 return _xzipairs(T, t, sep=sep, fmt=fmt) 

559 

560 def toStr(self, prec=6, sep=_SPACE_, m=_m_): # PYCHOK expected 

561 '''Return a string representation of this L{Css} position. 

562 

563 @kwarg prec: Number of (decimal) digits, unstripped (C{int}). 

564 @kwarg sep: Optional separator to join (C{str}) or C{None} 

565 to return an unjoined C{tuple} of C{str}s. 

566 @kwarg m: Height units, default C{meter} (C{str}). 

567 

568 @return: This position as C{"easting nothing"} C{str} in 

569 C{meter} plus C{" height"} and C{'m'} if height 

570 is non-zero (C{str}). 

571 ''' 

572 t, _ = _fstrENH2(self, prec, m) 

573 return t if sep is None else sep.join(t) 

574 

575 

576class EasNorAziRk4Tuple(_NamedTuple): 

577 '''4-Tuple C{(easting, northing, azimuth, reciprocal)} for the 

578 Cassini-Soldner location with C{easting} and C{northing} in 

579 C{meters} and the C{azimuth} of easting direction and 

580 C{reciprocal} of azimuthal northing scale, both in C{degrees}. 

581 ''' 

582 _Names_ = (_easting_, _northing_, _azimuth_, _reciprocal_) 

583 _Units_ = ( Easting, Northing, Azimuth, Scalar) 

584 

585 

586class EasNorAziRkEqu6Tuple(_NamedTuple): 

587 '''6-Tuple C{(easting, northing, azimuth, reciprocal, equatorarc, 

588 equatorazimuth)} for the Cassini-Soldner location with 

589 C{easting} and C{northing} in C{meters} and the C{azimuth} of 

590 easting direction, C{reciprocal} of azimuthal northing scale, 

591 C{equatorarc} and C{equatorazimuth}, all in C{degrees}. 

592 ''' 

593 _Names_ = EasNorAziRk4Tuple._Names_ + ('equatorarc', 'equatorazimuth') 

594 _Units_ = EasNorAziRk4Tuple._Units_ + ( Degrees, Azimuth) 

595 

596 

597class LatLonAziRk4Tuple(_NamedTuple): 

598 '''4-Tuple C{(lat, lon, azimuth, reciprocal)}, all in C{degrees} 

599 where C{azimuth} is the azimuth of easting direction and 

600 C{reciprocal} the reciprocal of azimuthal northing scale. 

601 ''' 

602 _Names_ = (_lat_, _lon_, _azimuth_, _reciprocal_) 

603 _Units_ = ( Lat_, Lon_, Azimuth, Scalar) 

604 

605 

606def toCss(latlon, cs0=None, height=None, Css=Css, **name): 

607 '''Convert an (ellipsoidal) geodetic point to a Cassini-Soldner 

608 location. 

609 

610 @arg latlon: Ellipsoidal point (C{LatLon} or L{LatLon4Tuple}). 

611 @kwarg cs0: Optional, the Cassini-Soldner projection to use 

612 (L{CassiniSoldner}). 

613 @kwarg height: Optional height for the point, overriding the default 

614 height (C{meter}). 

615 @kwarg Css: Optional class to return the location (L{Css}) or C{None}. 

616 @kwarg name: Optional B{C{Css}} C{B{name}=NN} (C{str}). 

617 

618 @return: The Cassini-Soldner location (B{C{Css}}) or if C{B{Css} is 

619 None}, an L{EasNor3Tuple}C{(easting, northing, height)}. 

620 

621 @raise CSSError: Ellipsoidal mismatch of B{C{latlon}} and B{C{cs0}}. 

622 

623 @raise ImportError: Package U{geographiclib<https://PyPI.org/ 

624 project/geographiclib>} not installed or 

625 not found. 

626 

627 @raise TypeError: If B{C{latlon}} is not ellipsoidal. 

628 ''' 

629 _xinstanceof(_LLEB, LatLon4Tuple, latlon=latlon) 

630 

631 cs = _CS0(cs0) 

632 cs._datumatch(latlon) 

633 

634 c = cs.forward4(latlon.lat, latlon.lon) 

635 h = _heigHt(latlon, height) 

636 n = latlon._name__(name) 

637 

638 if Css is None: 

639 r = EasNor3Tuple(c.easting, c.northing, h, name=n) 

640 else: 

641 r = Css(c.easting, c.northing, h=h, cs0=cs, name=n) 

642 r._latlon = LatLon2Tuple(latlon.lat, latlon.lon, name=n) 

643 r._azi, r._rk = c.azimuth, c.reciprocal 

644 return r 

645 

646# **) MIT License 

647# 

648# Copyright (C) 2016-2025 -- mrJean1 at Gmail -- All Rights Reserved. 

649# 

650# Permission is hereby granted, free of charge, to any person obtaining a 

651# copy of this software and associated documentation files (the "Software"), 

652# to deal in the Software without restriction, including without limitation 

653# the rights to use, copy, modify, merge, publish, distribute, sublicense, 

654# and/or sell copies of the Software, and to permit persons to whom the 

655# Software is furnished to do so, subject to the following conditions: 

656# 

657# The above copyright notice and this permission notice shall be included 

658# in all copies or substantial portions of the Software. 

659# 

660# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS 

661# OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, 

662# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL 

663# THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR 

664# OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, 

665# ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR 

666# OTHER DEALINGS IN THE SOFTWARE.