Coverage for pygeodesy/css.py: 98%

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1 

2# -*- coding: utf-8 -*- 

3 

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

5 

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

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

8installed. 

9''' 

10 

11from pygeodesy.basics import islistuple, neg, _xinstanceof, _xsubclassof 

12from pygeodesy.constants import _umod_360, _0_0, _0_5, _90_0 

13from pygeodesy.datums import _ellipsoidal_datum, _WGS84 

14from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB 

15from pygeodesy.errors import _ValueError, _xdatum, _xellipsoidal, \ 

16 _xattr, _xkwds 

17from pygeodesy.interns import NN, _azimuth_, _COMMASPACE_, _easting_, \ 

18 _lat_, _lon_, _m_, _name_, _northing_, \ 

19 _reciprocal_, _SPACE_ 

20from pygeodesy.interns import _C_ # PYCHOK used! 

21from pygeodesy.karney import _atan2d, _copysign, _diff182, _norm2, \ 

22 _norm180, _signBit, _sincos2d, fabs 

23from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS 

24from pygeodesy.named import _NamedBase, _NamedTuple, nameof 

25from pygeodesy.namedTuples import EasNor2Tuple, EasNor3Tuple, \ 

26 LatLon2Tuple, LatLon4Tuple, _LL4Tuple 

27from pygeodesy.props import deprecated_Property_RO, Property, \ 

28 Property_RO, _update_all 

29from pygeodesy.streprs import Fmt, _fstrENH2, _fstrLL0, _xzipairs 

30from pygeodesy.units import Bearing, Degrees, Easting, Height, _heigHt, \ 

31 Lat_, Lon_, Northing, Scalar 

32 

33# from math import fabs # from .karney 

34 

35__all__ = _ALL_LAZY.css 

36__version__ = '23.09.07' 

37 

38 

39def _CS0(cs0): 

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

41 ''' 

42 if cs0 is None: 

43 cs0 = Css._CS0 

44 if cs0 is None: 

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

46 else: 

47 _xinstanceof(CassiniSoldner, cs0=cs0) 

48 return cs0 

49 

50 

51class CSSError(_ValueError): 

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

53 ''' 

54 pass 

55 

56 

57class CassiniSoldner(_NamedBase): 

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

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

60 ''' 

61 _cb0 = _0_0 

62 _datum = _WGS84 # L{Datum} 

63 _geodesic = None 

64 _latlon0 = () 

65 _meridian = None 

66 _sb0 = _0_0 

67 

68 def __init__(self, lat0, lon0, datum=_WGS84, name=NN): 

69 '''New L{CassiniSoldner} projection. 

70 

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

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

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

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

75 @kwarg name: Optional name (C{str}). 

76 

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

78 

79 @example: 

80 

81 >>> p = CassiniSoldner(48 + 50/60.0, 2 + 20/60.0) # Paris 

82 >>> p.forward(50.9, 1.8) # Calais 

83 (-37518.854545, 230003.561828) 

84 

85 >>> p.reverse4(-38e3, 230e3) 

86 (50.899937, 1.793161, 89.580797, 0.999982) 

87 ''' 

88 if datum not in (None, self._datum): 

89 self._datum = _xellipsoidal(datum=_ellipsoidal_datum(datum, name=name)) 

90 if name: 

91 self.name = name 

92 

93 self.reset(lat0, lon0) 

94 

95 @Property 

96 def datum(self): 

97 '''Get the datum (L{Datum}). 

98 ''' 

99 return self._datum 

100 

101 @datum.setter # PYCHOK setter! 

102 def datum(self, datum): 

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

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

105 ''' 

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

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

108 if self._datum != d: 

109 self._datum = d 

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

111 

112 def _datumatch(self, latlon): 

113 '''Check for matching datum ellipsoids. 

114 

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

116 ''' 

117 d = _xattr(latlon, datum=None) 

118 if d: 

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

120 

121 @Property_RO 

122 def equatoradius(self): 

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

124 ''' 

125 return self.geodesic.a 

126 

127 a = equatoradius 

128 

129 @Property_RO 

130 def flattening(self): 

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

132 ''' 

133 return self.geodesic.f 

134 

135 f = flattening 

136 

137 def forward(self, lat, lon, name=NN): 

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

139 easting and northing. 

140 

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

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

143 @kwarg name: Name inlieu of this projection's name (C{str}). 

144 

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

146 

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

148 and L{CassiniSoldner.reverse4}. 

149 

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

151 ''' 

152 t = self.forward6(lat, lon, name=name) 

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

154 

155 def forward4(self, lat, lon, name=NN): 

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

157 easting and northing. 

158 

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

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

161 @kwarg name: Name inlieu of this projection's name (C{str}). 

162 

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

164 azimuth, reciprocal)}. 

165 

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

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

168 

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

170 ''' 

171 t = self.forward6(lat, lon, name=name) 

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

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

174 

175 def forward6(self, lat, lon, name=NN): 

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

177 easting and northing. 

178 

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

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

181 @kwarg name: Name inlieu of this projection's name (C{str}). 

182 

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

184 azimuth, reciprocal, equatorarc, equatorazimuth)}. 

185 

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

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

188 

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

190 ''' 

191 g = self.geodesic 

192 

193 lat = Lat_(lat, Error=CSSError) 

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

195 D = fabs(d) 

196 

197 r = g.Inverse(lat, -D, lat, D) 

198 z1, a = r.azi1, (r.a12 * _0_5) 

199 z2, e = r.azi2, (r.s12 * _0_5) 

200 if e == 0: # PYCHOK no cover 

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

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

203 z1, z2 = c - z, c + z 

204 if _signBit(d): 

205 a, e, z2 = neg(a), neg(e), z1 

206 

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

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

209 # reciprocal of azimuthal northing scale 

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

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

212 

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

214 sb1 = _copysign(c, lat) 

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

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

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

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

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

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

221 name=name or self.name) 

222 

223 @Property 

224 def geodesic(self): 

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

226 <https://GeographicLib.SourceForge.io/Python/doc/code.html>}, provided 

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

228 package is installed, otherwise an I{exact} L{GeodesicExact} instance. 

229 ''' 

230 g = self._geodesic 

231 if g is None: 

232 E = self.datum.ellipsoid 

233 try: 

234 g = E.geodesicw 

235 except ImportError: 

236 g = E.geodesicx 

237 self._geodesic = g 

238 return g 

239 

240 @geodesic.setter # PYCHOK setter! 

241 def geodesic(self, exact): 

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

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

244 

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

246 project/geographiclib>} not installed or 

247 not found and C{B{exact}=False}. 

248 ''' 

249 E = self.datum.ellipsoid 

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

251 E.geodesicx if exact else E.geodesicw) 

252 self.reset(*self.latlon0) 

253 

254 @Property_RO 

255 def isExact(self): 

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

257 ''' 

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

259 

260 @Property_RO 

261 def lat0(self): 

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

263 ''' 

264 return self.latlon0.lat 

265 

266 @property 

267 def latlon0(self): 

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

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

270 ''' 

271 return self._latlon0 

272 

273 @latlon0.setter # PYCHOK setter! 

274 def latlon0(self, latlon0): 

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

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

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

278 

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

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

281 ''' 

282 if islistuple(latlon0, 2): 

283 lat0, lon0 = latlon0[:2] 

284 else: 

285 try: 

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

287 self._datumatch(latlon0) 

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

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

290 self.reset(lat0, lon0) 

291 

292 @Property_RO 

293 def lon0(self): 

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

295 ''' 

296 return self.latlon0.lon 

297 

298 @deprecated_Property_RO 

299 def majoradius(self): # PYCHOK no cover 

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

301 return self.equatoradius 

302 

303 def reset(self, lat0, lon0): 

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

305 

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

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

308 

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

310 ''' 

311 _update_all(self) 

312 

313 g = self.geodesic 

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

315 Lon_(lon0=lon0, Error=CSSError), _0_0, 

316 g.STANDARD | g.DISTANCE_IN | g.LINE_OFF) 

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

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

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

320 

321 def reverse(self, easting, northing, name=NN, LatLon=None, **LatLon_kwds): 

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

323 lat- and longitude. 

324 

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

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

327 @kwarg name: Name inlieu of this projection's name (C{str}). 

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

329 geodetic location as (C{LatLon}) or C{None}. 

330 @kwarg LatLon_kwds: Optional (C{LatLon}) keyword arguments, 

331 ignored if C{B{LatLon} is None}. 

332 

333 @return: Geodetic location B{C{LatLon}} or if B{C{LatLon}} 

334 is C{None}, a L{LatLon2Tuple}C{(lat, lon)}. 

335 

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

337 

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

339 

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

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

342 ''' 

343 r = self.reverse4(easting, northing, name=name) 

344 if LatLon is None: 

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

346 else: 

347 _xsubclassof(_LLEB, LatLon=LatLon) 

348 kwds = _xkwds(LatLon_kwds, datum=self.datum, name=r.name) 

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

350 self._datumatch(r) 

351 return r 

352 

353 def reverse4(self, easting, northing, name=NN): 

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

355 lat- and longitude. 

356 

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

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

359 @kwarg name: Name inlieu of this projection's name (C{str}). 

360 

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

362 

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

364 and L{CassiniSoldner.forward4}. 

365 ''' 

366 g = self.geodesic 

367 n = self._meridian.Position(northing) 

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

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

370 # include z azimuth of easting direction and rk reciprocal 

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

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

373 return LatLonAziRk4Tuple(r.lat2, r.lon2, z, r.M12, name=name or self.name) 

374 

375 toLatLon = reverse # XXX not reverse4 

376 

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

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

379 

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

381 

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

383 (C{str}). 

384 ''' 

385 return _fstrLL0(self, prec, True) 

386 

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

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

389 

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

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

392 

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

394 ''' 

395 t = _fstrLL0(self, prec, False) 

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

397 

398 

399class Css(_NamedBase): 

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

401 ''' 

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

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

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

405 _height = 0 # height (C{meter}) 

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

407 

408 def __init__(self, e, n, h=0, cs0=None, name=NN): 

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

410 

411 @arg e: Easting (C{meter}). 

412 @arg n: Northing (C{meter}). 

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

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

415 (L{CassiniSoldner}). 

416 @kwarg name: Optional name (C{str}). 

417 

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

419 

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

421 

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

423 

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

425 

426 @example: 

427 

428 >>> cs = Css(448251, 5411932.0001) 

429 ''' 

430 self._cs0 = _CS0(cs0) 

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

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

433 if h: 

434 self._height = Height(h=h) 

435 if name: 

436 self.name = name 

437 

438 @Property_RO 

439 def azi(self): 

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

441 ''' 

442 return self.reverse4.azimuth 

443 

444 azimuth = azi 

445 

446 @Property 

447 def cs0(self): 

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

449 ''' 

450 return self._cs0 or Css._CS0 

451 

452 @cs0.setter # PYCHOK setter! 

453 def cs0(self, cs0): 

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

455 

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

457 ''' 

458 cs0 = _CS0(cs0) 

459 if cs0 != self._cs0: 

460 _update_all(self) 

461 self._cs0 = cs0 

462 

463# def dup(self, name=NN, **e_n_h_cs0): # PYCHOK signature 

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

465# 

466# @kwarg e_n_h_cs0: Use keyword argument C{B{e}=...}, C{B{n}=...}, 

467# C{B{h}=...} and/or C{B{cs0}=...} to override 

468# the current C{easting}, C{northing} C{height} 

469# or C{cs0} projectio, respectively. 

470# ''' 

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

472# return (e, n), kwds 

473# 

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

475# h=self.height, cs0=self.cs0, 

476# name=name or self.name) 

477# args, kwds = _args_kwds(**kwds) 

478# return self.__class__(*args, **kwds) # .classof 

479 

480 @Property_RO 

481 def easting(self): 

482 '''Get the easting (C{meter}). 

483 ''' 

484 return self._easting 

485 

486 @Property_RO 

487 def height(self): 

488 '''Get the height (C{meter}). 

489 ''' 

490 return self._height 

491 

492 @Property_RO 

493 def latlon(self): 

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

495 ''' 

496 r = self.reverse4 

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

498 

499 @Property_RO 

500 def northing(self): 

501 '''Get the northing (C{meter}). 

502 ''' 

503 return self._northing 

504 

505 @Property_RO 

506 def reverse4(self): 

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

508 ''' 

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

510 

511 @Property_RO 

512 def rk(self): 

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

514 ''' 

515 return self.reverse4.reciprocal 

516 

517 reciprocal = rk 

518 

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

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

521 

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

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

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

525 default height (C{meter}). 

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

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

528 

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

530 is C{None}, a L{LatLon4Tuple}C{(lat, lon, height, 

531 datum)}. 

532 

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

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

535 B{C{LatLon_kwds}}. 

536 ''' 

537 if LatLon: 

538 _xsubclassof(_LLEB, LatLon=LatLon) 

539 

540 lat, lon = self.latlon 

541 h = _heigHt(self, height) 

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

543 inst=self, name=self.name) 

544 

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

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

547 

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

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

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

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

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

553 

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

555 C:Conic.Datum]"} (C{str}). 

556 ''' 

557 t, T = _fstrENH2(self, prec, m) 

558 if self.name: 

559 t += repr(self.name), 

560 T += _name_, 

561 if C: 

562 t += self.cs0.toRepr(prec=prec), 

563 T += _C_, 

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

565 

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

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

568 

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

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

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

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

573 

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

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

576 is non-zero (C{str}). 

577 ''' 

578 t, _ = _fstrENH2(self, prec, m) 

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

580 

581 

582class EasNorAziRk4Tuple(_NamedTuple): 

583 '''4-Tuple C{(easting, northing, azimuth, reciprocal)} for the 

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

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

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

587 ''' 

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

589 _Units_ = ( Easting, Northing, Bearing, Scalar) 

590 

591 

592class EasNorAziRkEqu6Tuple(_NamedTuple): 

593 '''6-Tuple C{(easting, northing, azimuth, reciprocal, equatorarc, 

594 equatorazimuth)} for the Cassini-Soldner location with 

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

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

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

598 ''' 

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

600 _Units_ = EasNorAziRk4Tuple._Units_ + ( Degrees, Bearing) 

601 

602 

603class LatLonAziRk4Tuple(_NamedTuple): 

604 '''4-Tuple C{(lat, lon, azimuth, reciprocal)}, all in C{degrees} 

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

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

607 ''' 

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

609 _Units_ = ( Lat_, Lon_, Bearing, Scalar) 

610 

611 

612def toCss(latlon, cs0=None, height=None, Css=Css, name=NN): 

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

614 location. 

615 

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

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

618 (L{CassiniSoldner}). 

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

620 default height (C{meter}). 

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

622 @kwarg name: Optional B{C{Css}} name (C{str}). 

623 

624 @return: The Cassini-Soldner location (B{C{Css}}) or an 

625 L{EasNor3Tuple}C{(easting, northing, height)} 

626 if B{C{Css}} is C{None}. 

627 

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

629 

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

631 project/geographiclib>} not installed or 

632 not found. 

633 

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

635 ''' 

636 _xinstanceof(_LLEB, LatLon4Tuple, latlon=latlon) 

637 

638 cs = _CS0(cs0) 

639 cs._datumatch(latlon) 

640 

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

642 h = _heigHt(latlon, height) 

643 n = name or nameof(latlon) 

644 

645 if Css is None: 

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

647 else: 

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

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

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

651 return r 

652 

653# **) MIT License 

654# 

655# Copyright (C) 2016-2023 -- mrJean1 at Gmail -- All Rights Reserved. 

656# 

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

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

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

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

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

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

663# 

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

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

666# 

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

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

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

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

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

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

673# OTHER DEALINGS IN THE SOFTWARE.