Coverage for pygeodesy/lcc.py: 96%

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1 

2# -*- coding: utf-8 -*- 

3 

4u'''Lambert Conformal Conic (LCC) projection. 

5 

6Lambert conformal conic projection for 1- or 2-Standard Parallels classes L{Conic}, L{Conics} registry, L{LCCError} 

7and position class L{Lcc}. 

8 

9See U{LCC<https://WikiPedia.org/wiki/Lambert_conformal_conic_projection>}, U{Lambert 

10Conformal Conic to Geographic Transformation Formulae 

11<https://www.Linz.govt.NZ/data/geodetic-system/coordinate-conversion/projection-conversions/lambert-conformal-conic-geographic>}, 

12U{Lambert Conformal Conic Projection<https://MathWorld.Wolfram.com/LambertConformalConicProjection.html>} 

13and John P. Snyder U{'Map Projections - A Working Manual'<https://Pubs.USGS.gov/pp/1395/report.pdf>}, 1987, pp 107-109. 

14 

15@var Conics.Be08Lb: Conic(name='Be08Lb', lat0=50.797815, lon0=4.35921583, par1=49.8333339, par2=51.1666672, E0=649328, N0=665262, k0=1, SP=2, datum=Datum(name='GRS80', ellipsoid=Ellipsoids.GRS80, transform=Transforms.WGS84), 

16@var Conics.Be72Lb: Conic(name='Be72Lb', lat0=90, lon0=4.3674867, par1=49.8333339, par2=51.1666672, E0=150000.013, N0=5400088.438, k0=1, SP=2, datum=Datum(name='NAD83', ellipsoid=Ellipsoids.GRS80, transform=Transforms.NAD83), 

17@var Conics.Fr93Lb: Conic(name='Fr93Lb', lat0=46.5, lon0=3, par1=49, par2=44, E0=700000, N0=6600000, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

18@var Conics.MaNLb: Conic(name='MaNLb', lat0=33.3, lon0=-5.4, par1=31.73, par2=34.87, E0=500000, N0=300000, k0=1, SP=2, datum=Datum(name='NTF', ellipsoid=Ellipsoids.Clarke1880IGN, transform=Transforms.NTF), 

19@var Conics.MxLb: Conic(name='MxLb', lat0=12, lon0=-102, par1=17.5, par2=29.5, E0=2500000, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

20@var Conics.PyT_Lb: Conic(name='PyT_Lb', lat0=46.8, lon0=2.33722917, par1=45.8989389, par2=47.6960144, E0=600000, N0=200000, k0=1, SP=2, datum=Datum(name='NTF', ellipsoid=Ellipsoids.Clarke1880IGN, transform=Transforms.NTF), 

21@var Conics.USA_Lb: Conic(name='USA_Lb', lat0=23, lon0=-96, par1=33, par2=45, E0=0, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84), 

22@var Conics.WRF_Lb: Conic(name='WRF_Lb', lat0=40, lon0=-97, par1=33, par2=45, E0=0, N0=0, k0=1, SP=2, datum=Datum(name='WGS84', ellipsoid=Ellipsoids.WGS84, transform=Transforms.WGS84) 

23''' 

24# make sure int/int division yields float quotient, see .basics 

25from __future__ import division as _; del _ # noqa: E702 ; 

26 

27from pygeodesy.basics import copysign0, _isin, _xinstanceof, _xsubclassof, \ 

28 typename 

29from pygeodesy.constants import EPS, EPS02, PI_2, _float as _F, _0_0, _0_5, \ 

30 _1_0, _2_0, _90_0 

31from pygeodesy.ellipsoidalBase import LatLonEllipsoidalBase as _LLEB 

32from pygeodesy.datums import Datums, _ellipsoidal_datum 

33from pygeodesy.errors import _IsnotError, _ValueError 

34from pygeodesy.fmath import hypot, _ALL_LAZY 

35# from pygeodesy.internals import typename # from .basics 

36from pygeodesy.interns import NN, _COMMASPACE_, _DMAIN_, _ellipsoidal_, _GRS80_, \ 

37 _k0_, _lat0_, _lon0_, _m_, _NAD83_, _NTF_, _SPACE_, \ 

38 _WGS84_, _C_ # PYCHOK used! 

39# from pygeodesy.lazily import _ALL_LAZY # from .fmath 

40from pygeodesy.named import _lazyNamedEnumItem as _lazy, _name2__, _NamedBase, \ 

41 _NamedEnum, _NamedEnumItem, _xnamed 

42from pygeodesy.namedTuples import EasNor3Tuple, LatLonDatum3Tuple, \ 

43 LatLon2Tuple, _LL4Tuple, PhiLam2Tuple 

44from pygeodesy.props import deprecated_method, Property, Property_RO, _update_all 

45from pygeodesy.streprs import Fmt, _fstrENH2, _xzipairs 

46from pygeodesy.units import Easting, Height, _heigHt, Lamd, Northing, Phid, \ 

47 Scalar_ 

48from pygeodesy.utily import atan1, degrees90, degrees180, sincos2, tanPI_2_2 

49 

50from math import atan, fabs, log, radians, sin, sqrt 

51 

52__all__ = _ALL_LAZY.lcc 

53__version__ = '25.05.26' 

54 

55_E0_ = 'E0' 

56_N0_ = 'N0' 

57_par1_ = 'par1' 

58_par2_ = 'par2' 

59_SP_ = 'SP' 

60 

61 

62class Conic(_NamedEnumItem): 

63 '''Lambert conformal conic projection (1- or 2-SP). 

64 ''' 

65 _auth = NN # authorization (C{str}) 

66 _datum = None # datum (L{Datum}) 

67 _name = NN # Conic.__name__, set below 

68 

69 _e = _0_0 # ellipsoid excentricity (C{float}) 

70 _E0 = _0_0 # false easting (C{float}) 

71 _k0 = _1_0 # scale factor (C{float}) 

72 _N0 = _0_0 # false northing (C{float}) 

73 _SP = 0 # 1- or 2-SP (C{int}) 

74 

75 _opt3 = _0_0 # optional, longitude (C{radians}) 

76 _par1 = _0_0 # 1st std parallel (C{radians}) 

77 _par2 = _0_0 # 2nd std parallel (C{radians}) 

78 _phi0 = _0_0 # origin lat (C{radians}) 

79 _lam0 = _0_0 # origin lon (C{radians}) 

80 

81 _aF = _0_0 # precomputed F (C{float}) 

82 _n = _0_0 # precomputed n (C{float}) 

83 _1_n = _0_0 # precomputed 1 / n (C{float}) 

84 _r0 = _0_0 # precomputed rho0 (C{float}) 

85 

86 def __init__(self, latlon0, par1, par2=None, E0=0, N0=0, 

87 k0=1, opt3=0, auth=NN, **name): 

88 '''New Lambert conformal conic projection. 

89 

90 @arg latlon0: Origin with (ellipsoidal) datum (C{LatLon}). 

91 @arg par1: First standard parallel (C{degrees90}). 

92 @kwarg par2: Optional, second standard parallel (C{degrees90}). 

93 @kwarg E0: Optional, false easting (C{meter}). 

94 @kwarg N0: Optional, false northing (C{meter}). 

95 @kwarg k0: Optional scale factor (C{scalar}). 

96 @kwarg opt3: Optional meridian (C{degrees180}). 

97 @kwarg auth: Optional authentication authority (C{str}). 

98 @kwarg name: Optional C{B{name}=NN} for the conic (C{str}). 

99 

100 @return: A Lambert projection (L{Conic}). 

101 

102 @raise TypeError: Non-ellipsoidal B{C{latlon0}}. 

103 

104 @raise ValueError: Invalid B{C{par1}}, B{C{par2}}, 

105 B{C{E0}}, B{C{N0}}, B{C{k0}} 

106 or B{C{opt3}}. 

107 ''' 

108 if latlon0 is not None: 

109 _xinstanceof(_LLEB, latlon0=latlon0) 

110 self._phi0, self._lam0 = latlon0.philam 

111 

112 self._par1 = Phid(par1=par1) 

113 self._par2 = self._par1 if par2 is None else Phid(par2=par2) 

114 

115 if k0 != 1: 

116 self._k0 = Scalar_(k0=k0) 

117 if E0: 

118 self._E0 = Northing(E0=E0, falsed=True) 

119 if N0: 

120 self._N0 = Easting(N0=N0, falsed=True) 

121 if opt3: 

122 self._opt3 = Lamd(opt3=opt3) 

123 

124 self.toDatum(latlon0.datum)._dup2(self) 

125 self._register(Conics, name) 

126 elif name: 

127 self.name = name 

128 if auth: 

129 self._auth = str(auth) 

130 

131 @Property_RO 

132 def auth(self): 

133 '''Get the authentication authority (C{str}). 

134 ''' 

135 return self._auth 

136 

137 @deprecated_method 

138 def convertDatum(self, datum): 

139 '''DEPRECATED, use method L{Conic.toDatum}.''' 

140 return self.toDatum(datum) 

141 

142 @Property_RO 

143 def datum(self): 

144 '''Get the datum (L{Datum}). 

145 ''' 

146 return self._datum 

147 

148 @Property_RO 

149 def E0(self): 

150 '''Get the false easting (C{meter}). 

151 ''' 

152 return self._E0 

153 

154 @Property_RO 

155 def k0(self): 

156 '''Get scale factor (C{float}). 

157 ''' 

158 return self._k0 

159 

160 @Property_RO 

161 def lat0(self): 

162 '''Get the origin latitude (C{degrees90}). 

163 ''' 

164 return degrees90(self._phi0) 

165 

166 @Property_RO 

167 def latlon0(self): 

168 '''Get the central origin (L{LatLon2Tuple}C{(lat, lon)}). 

169 ''' 

170 return LatLon2Tuple(self.lat0, self.lon0, name=self.name) 

171 

172 @Property_RO 

173 def lam0(self): 

174 '''Get the central meridian (C{radians}). 

175 ''' 

176 return self._lam0 

177 

178 @Property_RO 

179 def lon0(self): 

180 '''Get the central meridian (C{degrees180}). 

181 ''' 

182 return degrees180(self._lam0) 

183 

184 @Property_RO 

185 def N0(self): 

186 '''Get the false northing (C{meter}). 

187 ''' 

188 return self._N0 

189 

190 @Property_RO 

191 def name2(self): 

192 '''Get the conic and datum names as "conic.datum" (C{str}). 

193 ''' 

194 return self._DOT_(self.datum.name) 

195 

196 @Property_RO 

197 def opt3(self): 

198 '''Get the optional meridian (C{degrees180}). 

199 ''' 

200 return degrees180(self._opt3) 

201 

202 @Property_RO 

203 def par1(self): 

204 '''Get the 1st standard parallel (C{degrees90}). 

205 ''' 

206 return degrees90(self._par1) 

207 

208 @Property_RO 

209 def par2(self): 

210 '''Get the 2nd standard parallel (C{degrees90}). 

211 ''' 

212 return degrees90(self._par2) 

213 

214 @Property_RO 

215 def phi0(self): 

216 '''Get the origin latitude (C{radians}). 

217 ''' 

218 return self._phi0 

219 

220 @Property_RO 

221 def philam0(self): 

222 '''Get the central origin (L{PhiLam2Tuple}C{(phi, lam)}). 

223 ''' 

224 return PhiLam2Tuple(self.phi0, self.lam0, name=self.name) 

225 

226 @Property_RO 

227 def SP(self): 

228 '''Get the number of standard parallels (C{int}). 

229 ''' 

230 return self._SP 

231 

232 def toDatum(self, datum): 

233 '''Convert this conic to the given datum. 

234 

235 @arg datum: Ellipsoidal datum to use (L{Datum}, L{Ellipsoid}, 

236 L{Ellipsoid2} or L{a_f2Tuple}). 

237 

238 @return: Converted conic, unregistered (L{Conic}). 

239 

240 @raise TypeError: Non-ellipsoidal B{C{datum}}. 

241 ''' 

242 d = _ellipsoidal_datum(datum, name=self.name) 

243 E = d.ellipsoid 

244 if not E.isEllipsoidal: 

245 raise _IsnotError(_ellipsoidal_, datum=datum) 

246 

247 c = self 

248 if c._e != E.e or c._datum != d: 

249 

250 c = Conic(None, 0, name=self._name) 

251 self._dup2(c) 

252 c._datum = d 

253 c._e = E.e 

254 

255 if fabs(c._par1 - c._par2) < EPS: 

256 m1 = c._mdef(c._phi0) 

257 t1 = c._tdef(c._phi0) 

258 t0 = t1 

259 k = 1 # _1_0 

260 n = sin(c._phi0) 

261 sp = 1 

262 else: 

263 m1 = c._mdef(c._par1) 

264 m2 = c._mdef(c._par2) 

265 t1 = c._tdef(c._par1) 

266 t2 = c._tdef(c._par2) 

267 t0 = c._tdef(c._phi0) 

268 k = c._k0 

269 n = (log(m1) - log(m2)) \ 

270 / (log(t1) - log(t2)) 

271 sp = 2 

272 

273 F = m1 / (n * pow(t1, n)) 

274 

275 c._aF = k * E.a * F 

276 c._n = n 

277 c._1_n = _1_0 / n 

278 c._r0 = c._rdef(t0) 

279 c._SP = sp 

280 

281 return c 

282 

283 def toStr(self, prec=8, **name): # PYCHOK expected 

284 '''Return this conic as a string. 

285 

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

287 @kwarg name: Overriding C{B{name}=NN} (C{str}) or C{None} to 

288 exclude this conic's name. 

289 

290 @return: Conic attributes (C{str}). 

291 ''' 

292 a = [_lat0_, _lon0_, _par1_, _par2_, _E0_, _N0_, _k0_, _SP_] 

293 if self._SP == 1: 

294 _ = a.pop(a.index(_par2_)) 

295 return self._instr(datum=self.datum, prec=prec, *a, **name) 

296 

297 def _dup2(self, c): 

298 '''(INTERNAL) Copy this conic to C{c}. 

299 

300 @arg c: Duplicate (L{Conic}). 

301 ''' 

302 _update_all(c) 

303 

304 c._auth = self._auth 

305 c._datum = self._datum 

306 

307 c._e = self._e 

308 c._E0 = self._E0 

309 c._k0 = self._k0 

310 c._N0 = self._N0 

311 c._SP = self._SP 

312 

313 c._par1 = self._par1 

314 c._par2 = self._par2 

315 c._phi0 = self._phi0 

316 c._lam0 = self._lam0 

317 c._opt3 = self._opt3 

318 

319 c._aF = self._aF 

320 c._n = self._n 

321 c._1_n = self._1_n 

322 c._r0 = self._r0 

323 

324 def _mdef(self, a): 

325 '''(INTERNAL) Compute m(a). 

326 ''' 

327 s, c = sincos2(a) 

328 s = _1_0 - (s * self._e)**2 

329 return (c / sqrt(s)) if s > EPS02 else _0_0 

330 

331 def _pdef(self, a): 

332 '''(INTERNAL) Compute p(a). 

333 ''' 

334 s = self._e * sin(a) 

335 return pow((_1_0 - s) / (_1_0 + s), self._e * _0_5) 

336 

337 def _rdef(self, t): 

338 '''(INTERNAL) Compute r(t). 

339 ''' 

340 return self._aF * pow(t, self._n) 

341 

342 def _tdef(self, a): 

343 '''(INTERNAL) Compute t(lat). 

344 ''' 

345 return max(_0_0, tanPI_2_2(-a) / self._pdef(a)) 

346 

347 def _xdef(self, t_x): 

348 '''(INTERNAL) Compute x(t_x). 

349 ''' 

350 return PI_2 - atan(t_x) * _2_0 # XXX + self._phi0 

351 

352 

353Conic._name = typename(Conic) 

354 

355 

356class Conics(_NamedEnum): 

357 '''(INTERNAL) L{Conic} registry, I{must} be a sub-class 

358 to accommodate the L{_LazyNamedEnumItem} properties. 

359 ''' 

360 def _Lazy(self, lat, lon, datum_name, *args, **kwds): 

361 '''(INTERNAL) Instantiate the L{Conic}. 

362 ''' 

363 return Conic(_LLEB(lat, lon, datum=Datums.get(datum_name)), *args, **kwds) 

364 

365Conics = Conics(Conic) # PYCHOK singleton 

366'''Some pre-defined L{Conic}s, all I{lazily} instantiated.''' 

367Conics._assert( # <https://SpatialReference.org/ref/sr-org/...> 

368# AsLb = _lazy('AsLb', _F(-14.2666667), _F(170), _NAD27_, _0_0, _0_0, 

369# E0=_F(500000), N0=_0_0, auth='EPSG:2155'), # American Samoa ... SP=1 ! 

370 Be08Lb = _lazy('Be08Lb', _F(50.7978150), _F(4.359215833), _GRS80_, _F(49.8333339), _F(51.1666672), 

371 E0=_F(649328.0), N0=_F(665262.0), auth='EPSG:9802'), # Belgium 

372 Be72Lb = _lazy('Be72Lb', _90_0, _F(4.3674867), _NAD83_, _F(49.8333339), _F(51.1666672), 

373 E0=_F(150000.013), N0=_F(5400088.438), auth='EPSG:31370'), # Belgium 

374 Fr93Lb = _lazy('Fr93Lb', _F(46.5), _F(3), _WGS84_, _F(49), _F(44), 

375 E0=_F(700000), N0=_F(6600000), auth='EPSG:2154'), # RFG93, France 

376 MaNLb = _lazy('MaNLb', _F(33.3), _F(-5.4), _NTF_, _F(31.73), _F(34.87), 

377 E0=_F(500000), N0=_F(300000)), # Marocco 

378 MxLb = _lazy('MxLb', _F(12), _F(-102), _WGS84_, _F(17.5), _F(29.5), 

379 E0=_F(2500000), N0=_0_0, auth='EPSG:2155'), # Mexico 

380 PyT_Lb = _lazy('PyT_Lb', _F(46.8), _F(2.33722917), _NTF_, _F(45.89893890000052), _F(47.69601440000037), 

381 E0=_F(600000), N0=_F(200000), auth='Test'), # France? 

382 USA_Lb = _lazy('USA_Lb', _F(23), _F(-96), _WGS84_, _F(33), _F(45), 

383 E0=_0_0, N0=_0_0), # Conterminous, contiguous USA? 

384 WRF_Lb = _lazy('WRF_Lb', _F(40), _F(-97), _WGS84_, _F(33), _F(45), 

385 E0=_0_0, N0=_0_0, auth='EPSG:4326') # World 

386) 

387 

388 

389class LCCError(_ValueError): 

390 '''Lambert Conformal Conic C{LCC} or other L{Lcc} issue. 

391 ''' 

392 pass 

393 

394 

395class Lcc(_NamedBase): 

396 '''Lambert conformal conic East-/Northing location. 

397 ''' 

398 _conic = Conics.WRF_Lb # Lambert projection (L{Conic}) 

399 _easting = _0_0 # Easting (C{float}) 

400 _height = 0 # height (C{meter}) 

401 _northing = _0_0 # Northing (C{float}) 

402 

403 def __init__(self, e, n, h=0, conic=Conics.WRF_Lb, **name): 

404 '''New L{Lcc} Lamber conformal conic position. 

405 

406 @arg e: Easting (C{meter}). 

407 @arg n: Northing (C{meter}). 

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

409 @kwarg conic: Optional, the conic projection (L{Conic}). 

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

411 

412 @return: The Lambert location (L{Lcc}). 

413 

414 @raise LCCError: Invalid B{C{h}} or invalid or 

415 negative B{C{e}} or B{C{n}}. 

416 

417 @raise TypeError: If B{C{conic}} is not L{Conic}. 

418 ''' 

419 if not _isin(conic, None, Lcc._conic): 

420 self.conic = conic 

421 self._easting = Easting(e, falsed=conic.E0 > 0, Error=LCCError) 

422 self._northing = Northing(n, falsed=conic.N0 > 0, Error=LCCError) 

423 if h: 

424 self._height = Height(h=h, Error=LCCError) 

425 if name: 

426 self.name = name 

427 

428 @Property 

429 def conic(self): 

430 '''Get the conic projection (L{Conic}). 

431 ''' 

432 return self._conic 

433 

434 @conic.setter # PYCHOK setter! 

435 def conic(self, conic): 

436 '''Set the conic projection (L{Conic}). 

437 

438 @raise TypeError: Invalid B{C{conic}}. 

439 ''' 

440 _xinstanceof(Conic, conic=conic) 

441 if conic != self._conic: 

442 _update_all(self) 

443 self._conic = conic 

444 

445# def dup(self, name=NN, **e_n_h_conic): # PYCHOK signature 

446# '''Duplicate this location with some attributes modified. 

447# 

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

449# C{B{h}=...} and/or C{B{conic}=...} to override 

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

451# or C{conic} projection, respectively. 

452# ''' 

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

454# return (e, n), kwds 

455# 

456# kwds = _xkwds(e_n_h_conic, e=self.easting, n=self.northing, 

457# h=self.height, conic=self.conic, 

458# name=self._name__(name)) 

459# args, kwds = _args_kwds(**kwds) 

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

461 

462 @Property_RO 

463 def easting(self): 

464 '''Get the easting (C{meter}). 

465 ''' 

466 return self._easting 

467 

468 @Property_RO 

469 def height(self): 

470 '''Get the height (C{meter}). 

471 ''' 

472 return self._height 

473 

474 @Property_RO 

475 def latlon(self): 

476 '''Get the lat- and longitude in C{degrees} (L{LatLon2Tuple}). 

477 ''' 

478 ll = self.toLatLon(LatLon=None, datum=None) 

479 return LatLon2Tuple(ll.lat, ll.lon, name=self.name) 

480 

481 @Property_RO 

482 def latlonheight(self): 

483 '''Get the lat-, longitude and height (L{LatLon3Tuple}C{(lat, lon, height)}). 

484 ''' 

485 return self.latlon.to3Tuple(self.height) 

486 

487 @Property_RO 

488 def latlonheightdatum(self): 

489 '''Get the lat-, longitude in C{degrees} with height and datum (L{LatLon4Tuple}C{(lat, lon, height, datum)}). 

490 ''' 

491 return self.latlonheight.to4Tuple(self.conic.datum) 

492 

493 @Property_RO 

494 def northing(self): 

495 '''Get the northing (C{meter}). 

496 ''' 

497 return self._northing 

498 

499 @Property_RO 

500 def philam(self): 

501 '''Get the lat- and longitude in C{radians} (L{PhiLam2Tuple}). 

502 ''' 

503 return PhiLam2Tuple(radians(self.latlon.lat), 

504 radians(self.latlon.lon), name=self.name) 

505 

506 @Property_RO 

507 def philamheight(self): 

508 '''Get the lat-, longitude in C{radians} and height (L{PhiLam3Tuple}C{(phi, lam, height)}). 

509 ''' 

510 return self.philam.to3Tuple(self.height) 

511 

512 @Property_RO 

513 def philamheightdatum(self): 

514 '''Get the lat-, longitude in C{radians} with height and datum (L{PhiLam4Tuple}C{(phi, lam, height, datum)}). 

515 ''' 

516 return self.philamheight.to4Tuple(self.datum) 

517 

518 @deprecated_method 

519 def to3lld(self, datum=None): # PYCHOK no cover 

520 '''DEPRECATED, use method C{toLatLon}. 

521 

522 @kwarg datum: Optional datum to use, otherwise use this 

523 B{C{Lcc}}'s conic.datum (C{Datum}). 

524 

525 @return: A L{LatLonDatum3Tuple}C{(lat, lon, datum)}. 

526 

527 @raise TypeError: If B{C{datum}} is not ellipsoidal. 

528 ''' 

529 if _isin(datum, None, self.conic.datum): 

530 r = LatLonDatum3Tuple(self.latlon.lat, 

531 self.latlon.lon, 

532 self.conic.datum, name=self.name) 

533 else: 

534 r = self.toLatLon(LatLon=None, datum=datum) 

535 r = LatLonDatum3Tuple(r.lat, r.lon, r.datum, name=r.name) 

536 return r 

537 

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

539 '''Convert this L{Lcc} to an (ellipsoidal) geodetic point. 

540 

541 @kwarg LatLon: Optional, ellipsoidal class to return the geodetic 

542 point (C{LatLon}) or C{None}. 

543 @kwarg datum: Optional datum to use, otherwise use this B{C{Lcc}}'s 

544 conic.datum (L{Datum}, L{Ellipsoid}, L{Ellipsoid2} or 

545 L{a_f2Tuple}). 

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

547 (C{meter}). 

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

549 ignored if C{B{LatLon} is None}. 

550 

551 @return: The point (B{C{LatLon}}) or if C{B{LatLon} is None}, a 

552 L{LatLon4Tuple}C{(lat, lon, height, datum)}. 

553 

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

555 not valid. 

556 ''' 

557 if LatLon: 

558 _xsubclassof(_LLEB, LatLon=LatLon) 

559 

560 c = self.conic 

561 if not _isin(datum, None, self.conic.datum): 

562 c = c.toDatum(datum) 

563 

564 e = self.easting - c._E0 

565 n = c._r0 - self.northing + c._N0 

566 

567 r_ = copysign0(hypot(e, n), c._n) 

568 t_ = pow(r_ / c._aF, c._1_n) 

569 

570 x = c._xdef(t_) # XXX c._lam0 

571 for self._iteration in range(10): # max 4 trips 

572 p, x = x, c._xdef(t_ * c._pdef(x)) 

573 if fabs(x - p) < 1e-9: # XXX EPS too small? 

574 break 

575 lat = degrees90(x) 

576 lon = degrees180((atan1(e, n) + c._opt3) * c._1_n + c._lam0) 

577 

578 h = _heigHt(self, height) 

579 return _LL4Tuple(lat, lon, h, c.datum, LatLon, LatLon_kwds, 

580 inst=self, name=self.name) 

581 

582 def toRepr(self, prec=0, fmt=Fmt.SQUARE, sep=_COMMASPACE_, m=_m_, C=False, **unused): # PYCHOK expected 

583 '''Return a string representation of this L{Lcc} position. 

584 

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

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

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

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

589 @kwarg C: Optionally, include name of conic and datum (C{bool}). 

590 

591 @return: This Lcc as "[E:meter, N:meter, H:m, C:Conic.Datum]" 

592 (C{str}). 

593 ''' 

594 t, T = _fstrENH2(self, prec, m) 

595 if C: 

596 t += self.conic.name2, 

597 T += _C_, 

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

599 

600 def toStr(self, prec=0, sep=_SPACE_, m=_m_): # PYCHOK expected 

601 '''Return a string representation of this L{Lcc} position. 

602 

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

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

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

606 @kwarg m: Optional height units, default C{meter} (C{str}). 

607 

608 @return: This Lcc as I{"easting nothing"} in C{meter} plus 

609 I{" height"} suffixed with B{C{m}} if height is 

610 non-zero (C{str}). 

611 ''' 

612 t, _ = _fstrENH2(self, prec, m) 

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

614 

615 

616def toLcc(latlon, conic=Conics.WRF_Lb, height=None, Lcc=Lcc, 

617 **name_Lcc_kwds): 

618 '''Convert an (ellipsoidal) geodetic point to a I{Lambert} location. 

619 

620 @arg latlon: Ellipsoidal point (C{LatLon}). 

621 @kwarg conic: Optional Lambert projection to use (L{Conic}). 

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

623 default height (C{meter}). 

624 @kwarg Lcc: Class to return the I{Lambert} location (L{Lcc}). 

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

626 additional B{C{Lcc}} keyword arguments, ignored if B{C{Lcc} 

627 is None}. 

628 

629 @return: The I{Lambert} location (L{Lcc}) or if C{B{Lcc} is None}, 

630 an L{EasNor3Tuple}C{(easting, northing, height)}. 

631 

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

633 ''' 

634 _xinstanceof(_LLEB, latlon=latlon) 

635 name, Lcc_kwds = _name2__(name_Lcc_kwds) 

636 

637 a, b = latlon.philam 

638 c = conic.toDatum(latlon.datum) 

639 

640 t = c._n * (b - c._lam0) - c._opt3 

641 st, ct = sincos2(t) 

642 

643 r = c._rdef(c._tdef(a)) 

644 e = c._E0 + r * st 

645 n = c._N0 + c._r0 - r * ct 

646 

647 h = _heigHt(latlon, height) 

648 r = EasNor3Tuple(e, n, h) if Lcc is None else \ 

649 Lcc(e, n, h=h, conic=c, **Lcc_kwds) 

650 return _xnamed(r, name) if name else r 

651 

652 

653if __name__ == _DMAIN_: 

654 

655 from pygeodesy.interns import _NL_, _NLATvar_ 

656 from pygeodesy.lazily import printf 

657 

658 # __doc__ of this file, force all into registery 

659 t = _NL_ + Conics.toRepr(all=True, asorted=True) 

660 printf(_NLATvar_.join(t.split(_NL_))) 

661 

662# **) MIT License 

663# 

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

665# 

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

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

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

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

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

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

672# 

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

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

675# 

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

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

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

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

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

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

682# OTHER DEALINGS IN THE SOFTWARE.