1

2# -*- coding: utf-8 -*-

3

4 u'''I{Karney}'s Universal Polar Stereographic (UPS) projection.

5

6 Classes L{Ups} and L{UPSError} and functions L{parseUPS5}, L{toUps8} and L{upsZoneBand5}.

7

8 A pure Python implementation, partially transcoded from I{Karney}'s C++ class U{PolarStereographic

9<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1PolarStereographic.html>}.

10

11 The U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} system is used

12 in conjuction with U{UTM<https://WikiPedia.org/wiki/Universal_Transverse_Mercator_coordinate_system>}

13 for locations on the polar regions of the earth. UPS covers areas south of 79.5°S and north of 83.5°N,

14 slightly overlapping the UTM range from 80°S to 84°N by 30' at each end.

15

16 Env variable C{PYGEODESY_UPS_POLES} determines the UPS zones I{at} latitude 90°S and 90°N. By default,

17 the encoding follows I{Karney}'s and U{Appendix B-3 of DMA TM8358.1<https://Web.Archive.org/web/

18 20161226192038/http://earth-info.nga.mil/GandG/publications/tm8358.1/pdf/TM8358_1.pdf>}, using only

19 zones C{'B'} respectively C{'Z'} and digraph C{'AN'}. If C{PYGEODESY_UPS_POLES} is set to anything

20 other than C{"std"}, zones C{'A'} and C{'Y'} are used for negative, west longitudes I{at} latitude

21 90°S respectively 90°N (for backward compatibility).

22'''

23

24# from pygeodesy.basics import neg as _neg # from .dms

25 from pygeodesy.constants import EPS, EPS0, _EPSmin as _Tol90, \

26 isnear90, _0_0, _0_5, _1_0, _2_0

27 from pygeodesy.datums import _ellipsoidal_datum, _WGS84

28 from pygeodesy.dms import degDMS, _neg, parseDMS2

29 from pygeodesy.errors import RangeError, _ValueError

30 from pygeodesy.fmath import hypot, hypot1, sqrt0

31# from pygeodesy.internals import _under # from .named

32 from pygeodesy.interns import NN, _COMMASPACE_, _inside_, _N_, \

33 _pole_, _range_, _S_, _scale0_, \

34 _SPACE_, _std_, _to_, _UTM_

35 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS, _getenv

36 from pygeodesy.named import nameof, _xnamed, _under

37 from pygeodesy.namedTuples import EasNor2Tuple, UtmUps5Tuple, \

38 UtmUps8Tuple, UtmUpsLatLon5Tuple

39 from pygeodesy.props import deprecated_method, property_doc_, \

40 Property_RO, _update_all

41# from pygeodesy.streprs import Fmt # from .utmupsBase

42 from pygeodesy.units import Float, Float_, Meter, Lat

43 from pygeodesy.utily import atan1d, degrees180, sincos2d

44 from pygeodesy.utmupsBase import Fmt, _LLEB, _hemi, _parseUTMUPS5, _to4lldn, \

45 _to3zBhp, _to3zll, _UPS_BANDS as _Bands, \

46 _UPS_LAT_MAX, _UPS_LAT_MIN, _UPS_ZONE, \

47 _UPS_ZONE_STR, UtmUpsBase

48

49 from math import atan2, fabs, radians, tan

50

51__all__ = _ALL_LAZY.ups

52__version__ = '25.05.13'

53

54_BZ_UPS = _getenv('PYGEODESY_UPS_POLES', _std_) == _std_

55_Falsing = Meter(2000e3) # false easting and northing (C{meter})

56_K0_UPS = Float(_K0_UPS= 0.994) # scale factor at central meridian

57_K1_UPS = Float(_K1_UPS=_1_0) # rescale point scale factor

58

59

60 def _scale(E, rho, tau):

61 # compute the point scale factor, ala Karney

62 t = hypot1(tau)

63 return Float(scale=(rho / E.a) * t * sqrt0(E.e21 + E.e2 / t**2))

64

65

66 def _toBand(lat, lon): # see utm._toBand

67 '''(INTERNAL) Get the I{polar} Band letter for a (lat, lon).

68 '''

69 return _Bands[(0 if lat < 0 else 2) + (0 if -180 < lon < 0 else 1)]

70

71

72 class UPSError(_ValueError):

73 '''Universal Polar Stereographic (UPS) parse or other L{Ups} issue.

74 '''

75 pass

76

77

78 class Ups(UtmUpsBase):

79 '''Universal Polar Stereographic (UPS) coordinate.

80 '''

81# _band = NN # polar band ('A', 'B', 'Y' or 'Z')

82 _Bands = _Bands # polar Band letters (C{tuple})

83 _Error = UPSError # Error class

84 _pole = NN # UPS projection top/center ('N' or 'S')

85# _scale = None # point scale factor (C{scalar})

86 _scale0 = _K0_UPS # central scale factor (C{scalar})

87

88 def __init__(self, zone=0, pole=_N_, easting=_Falsing, # PYCHOK expected

89 northing=_Falsing, band=NN, datum=_WGS84,

90 falsed=True, gamma=None, scale=None,

91 name=NN, **convergence):

92 '''New L{Ups} UPS coordinate.

93

94 @kwarg zone: UPS zone (C{int}, zero) or zone with/-out I{polar} Band

95 letter (C{str}, '00', '00A', '00B', '00Y' or '00Z').

96 @kwarg pole: Top/center of (stereographic) projection (C{str},

97 C{'N[orth]'} or C{'S[outh]'}).

98 @kwarg easting: Easting, see B{C{falsed}} (C{meter}).

99 @kwarg northing: Northing, see B{C{falsed}} (C{meter}).

100 @kwarg band: Optional, I{polar} Band (C{str}, 'A'|'B'|'Y'|'Z').

101 @kwarg datum: Optional, this coordinate's datum (L{Datum},

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

103 @kwarg falsed: If C{True}, both B{C{easting}} and B{C{northing}}

104 are falsed (C{bool}).

105 @kwarg gamma: Optional, meridian convergence to save (C{degrees}).

106 @kwarg scale: Optional, computed scale factor k to save

107 (C{scalar}).

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

109 @kwarg convergence: DEPRECATED, use keyword argument C{B{gamma}=None}.

110

111 @raise TypeError: Invalid B{C{datum}}.

112

113 @raise UPSError: Invalid B{C{zone}}, B{C{pole}}, B{C{easting}},

114 B{C{northing}}, B{C{band}}, B{C{convergence}}

115 or B{C{scale}}.

116 '''

117 if name:

118 self.name = name

119

120 try:

121 z, B, p = _to3zBhp(zone, band, hemipole=pole)

122 if z != _UPS_ZONE or (B and (B not in _Bands)):

123 raise ValueError

124 except (TypeError, ValueError) as x:

125 raise UPSError(zone=zone, pole=pole, band=band, cause=x)

126 self._pole = p

127 UtmUpsBase.__init__(self, easting, northing, band=B, datum=datum, falsed=falsed,

128 gamma=gamma, scale=scale, **convergence)

129

130 def __eq__(self, other):

131 return isinstance(other, Ups) and other.zone == self.zone \

132 and other.pole == self.pole \

133 and other.easting == self.easting \

134 and other.northing == self.northing \

135 and other.band == self.band \

136 and other.datum == self.datum

137

138 @property_doc_(''' the I{polar} band.''')

139 def band(self):

140 '''Get the I{polar} band (C{'A'|'B'|'Y'|'Z'}).

141 '''

142 if not self._band:

143 self._toLLEB()

144 return self._band

145

146 @band.setter # PYCHOK setter!

147 def band(self, band):

148 '''Set or reset the I{polar} band letter (C{'A'|'B'|'Y'|'Z'})

149 or C{None} or C{""} to reset.

150

151 @raise TypeError: Invalid B{C{band}}.

152

153 @raise ValueError: Invalid B{C{band}}.

154 '''

155 self._band1(band)

156

157 @Property_RO

158 def falsed2(self):

159 '''Get the easting and northing falsing (L{EasNor2Tuple}C{(easting, northing)}).

160 '''

161 f = _Falsing if self.falsed else 0

162 return EasNor2Tuple(f, f)

163

164 def parse(self, strUPS, name=NN):

165 '''Parse a string to a similar L{Ups} instance.

166

167 @arg strUPS: The UPS coordinate (C{str}),

168 see function L{parseUPS5}.

169 @kwarg name: Optional instance name (C{str}),

170 overriding this name.

171

172 @return: The similar instance (L{Ups}).

173

174 @raise UTMError: Invalid B{C{strUPS}}.

175

176 @see: Functions L{parseUTM5} and L{pygeodesy.parseUTMUPS5}.

177 '''

178 return parseUPS5(strUPS, datum=self.datum, Ups=self.classof,

179 name=name or self.name)

180

181 @deprecated_method

182 def parseUPS(self, strUPS): # PYCHOK no cover

183 '''DEPRECATED, use method L{parse}.'''

184 return self.parse(strUPS)

185

186 @Property_RO

187 def pole(self):

188 '''Get the top/center of (stereographic) projection (C{'N'|'S'} or C{""}).

189 '''

190 return self._pole

191

192 def rescale0(self, lat, scale0=_K0_UPS):

193 '''Set the central scale factor for this UPS projection.

194

195 @arg lat: Northern latitude (C{degrees}).

196 @arg scale0: UPS k0 scale at B{C{lat}} latitude (C{scalar}).

197

198 @raise RangeError: If B{C{lat}} outside the valid range and

199 L{pygeodesy.rangerrors} set to C{True}.

200

201 @raise UPSError: Invalid B{C{scale}}.

202 '''

203 s0 = Float_(scale0=scale0, Error=UPSError, low=EPS) # <= 1.003 or 1.0016?

204 u = toUps8(fabs(Lat(lat)), _0_0, datum=self.datum, Ups=_Ups_K1)

205 k = s0 / u.scale

206 if self.scale0 != k:

207 _update_all(self)

208 self._band = NN # force re-compute

209 self._latlon = self._utm = None

210 self._scale0 = Float(scale0=k)

211

212 def toLatLon(self, LatLon=None, unfalse=True, **LatLon_kwds):

213 '''Convert this UPS coordinate to an (ellipsoidal) geodetic point.

214

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

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

217 @kwarg unfalse: Unfalse B{C{easting}} and B{C{northing}}

218 if falsed (C{bool}).

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

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

221

222 @return: This UPS coordinate (B{C{LatLon}}) or if B{C{LatLon}}

223 is C{None}, a L{LatLonDatum5Tuple}C{(lat, lon, datum,

224 gamma, scale)}.

225

226 @raise TypeError: If B{C{LatLon}} is not ellipsoidal.

227

228 @raise UPSError: Invalid meridional radius or H-value.

229 '''

230 if self._latlon and self._latlon._toLLEB_args == (unfalse,):

231 return self._latlon5(LatLon)

232 else:

233 self._toLLEB(unfalse=unfalse)

234 return self._latlon5(LatLon, **LatLon_kwds)

235

236 def _toLLEB(self, unfalse=True): # PYCHOK signature

237 '''(INTERNAL) Compute (ellipsoidal) lat- and longitude.

238 '''

239 E = self.datum.ellipsoid # XXX vs LatLon.datum.ellipsoid

240

241 x, y = self.eastingnorthing2(falsed=not unfalse)

242

243 r = hypot(x, y)

244 t = (r * E.es_c / (self.scale0 * E.a * _2_0)) if r > 0 else EPS0

245 t = E.es_tauf((_1_0 / t - t) * _0_5)

246 a = atan1d(t)

247 if self._pole == _N_:

248 b, g = atan2(x, -y), 1

249 else:

250 b, g, a = atan2(x, y), -1, _neg(a)

251 ll = _LLEB(a, degrees180(b), datum=self._datum, name=self.name)

252

253 ll._gamma = b * g

254 ll._scale = _scale(E, r, t) if r > 0 else self.scale0

255 self._latlon5args(ll, _toBand, unfalse)

256

257 def toRepr(self, prec=0, fmt=Fmt.SQUARE, sep=_COMMASPACE_, B=False, cs=False, **unused): # PYCHOK expected

258 '''Return a string representation of this UPS coordinate.

259

260 Note that UPS coordinates are rounded, not truncated (unlike

261 MGRS grid references).

262

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

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

265 @kwarg sep: Optional separator between name:value pairs (C{str}).

266 @kwarg B: Optionally, include polar band letter (C{bool}).

267 @kwarg cs: Optionally, include gamma meridian convergence and

268 point scale factor (C{bool} or non-zero C{int} to

269 specify the precison like B{C{prec}}).

270

271 @return: This UPS as a string with C{00[Band] pole, easting,

272 northing, [convergence, scale]} as C{"[Z:00[Band],

273 P:N|S, E:meter, N:meter]"} plus C{", C:DMS, S:float"}

274 if B{C{cs}} is C{True}, where C{[Band]} is present and

275 C{'A'|'B'|'Y'|'Z'} only if B{C{B}} is C{True} and

276 convergence C{DMS} is in I{either} degrees, minutes

277 I{or} seconds (C{str}).

278

279 @note: Pseudo zone zero (C{"00"}) for UPS follows I{Karney}'s U{zone UPS

280 <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1UTMUPS.html>}.

281 '''

282 return self._toRepr(fmt, B, cs, prec, sep)

283

284 def toStr(self, prec=0, sep=_SPACE_, B=False, cs=False): # PYCHOK expected

285 '''Return a string representation of this UPS coordinate.

286

287 Note that UPS coordinates are rounded, not truncated (unlike

288 MGRS grid references).

289

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

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

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

293 @kwarg B: Optionally, include and polar band letter (C{bool}).

294 @kwarg cs: Optionally, include gamma meridian convergence and

295 point scale factor (C{bool} or non-zero C{int} to

296 specify the precison like B{C{prec}}).

297

298 @return: This UPS as a string with C{00[Band] pole, easting,

299 northing, [convergence, scale]} as C{"00[B] N|S

300 meter meter"} plus C{" DMS float"} if B{C{cs}} is C{True},

301 where C{[Band]} is present and C{'A'|'B'|'Y'|'Z'} only

302 if B{C{B}} is C{True} and convergence C{DMS} is in

303 I{either} degrees, minutes I{or} seconds (C{str}).

304

305 @note: Zone zero (C{"00"}) for UPS follows I{Karney}'s U{zone UPS

306 <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1UTMUPS.html>}.

307 '''

308 return self._toStr(self.pole, B, cs, prec, sep) # PYCHOK pole

309

310 def toUps(self, pole=NN, **unused):

311 '''Duplicate this UPS coordinate.

312

313 @kwarg pole: Optional top/center of the UPS projection,

314 (C{str}, 'N[orth]'|'S[outh]').

315

316 @return: A copy of this UPS coordinate (L{Ups}).

317

318 @raise UPSError: Invalid B{C{pole}} or attempt to transfer

319 the projection top/center.

320 '''

321 if self.pole == pole or not pole:

322 return self.copy()

323 t = _SPACE_(_pole_, repr(self.pole), _to_, repr(pole))

324 raise UPSError('no transfer', txt=t)

325

326 def toUtm(self, zone, falsed=True, **unused):

327 '''Convert this UPS coordinate to a UTM coordinate.

328

329 @arg zone: The UTM zone (C{int}).

330 @kwarg falsed: False both easting and northing (C{bool}).

331

332 @return: The UTM coordinate (L{Utm}).

333 '''

334 u = self._utm

335 if u is None or u.zone != zone or falsed != bool(u.falsed):

336 ll = self.toLatLon(LatLon=None, unfalse=True)

337 utm = _MODS.utm

338 self._utm = u = utm.toUtm8(ll, Utm=utm.Utm, falsed=falsed,

339 name=self.name, zone=zone)

340 return u

341

342 @Property_RO

343 def zone(self):

344 '''Get the polar pseudo zone (C{0}), like I{Karney}'s U{zone UPS<https://

345 GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1UTMUPS.html>}.

346 '''

347 return _UPS_ZONE

348

349

350 class _Ups_K1(Ups):

351 '''(INTERNAL) For method L{Ups.rescale0}.

352 '''

353 _scale0 = _K1_UPS

354

355

356 def parseUPS5(strUPS, datum=_WGS84, Ups=Ups, falsed=True, name=NN):

357 '''Parse a string representing a UPS coordinate, consisting of

358 C{"[zone][band] pole easting northing"} where B{C{zone}} is

359 pseudo zone C{"00"|"0"|""} and C{band} is C{'A'|'B'|'Y'|'Z'|''}.

360

361 @arg strUPS: A UPS coordinate (C{str}).

362 @kwarg datum: Optional datum to use (L{Datum}).

363 @kwarg Ups: Optional class to return the UPS coordinate (L{Ups})

364 or C{None}.

365 @kwarg falsed: Both B{C{easting}} and B{C{northing}} are falsed (C{bool}).

366 @kwarg name: Optional B{C{Ups}} name (C{str}).

367

368 @return: The UPS coordinate (B{C{Ups}}) or a

369 L{UtmUps5Tuple}C{(zone, hemipole, easting, northing,

370 band)} if B{C{Ups}} is C{None}. The C{hemipole} is

371 the C{'N'|'S'} pole, the UPS projection top/center.

372

373 @raise UPSError: Invalid B{C{strUPS}}.

374 '''

375 z, p, e, n, B = _parseUTMUPS5(strUPS, _UPS_ZONE_STR, Error=UPSError)

376 if z != _UPS_ZONE or (B and B not in _Bands):

377 raise UPSError(strUPS=strUPS, zone=z, band=B)

378

379 r = UtmUps5Tuple(z, p, e, n, B, Error=UPSError) if Ups is None \

380 else Ups(z, p, e, n, band=B, falsed=falsed, datum=datum)

381 return _xnamed(r, name)

382

383

384 def toUps8(latlon, lon=None, datum=None, Ups=Ups, pole=NN,

385 falsed=True, strict=True, name=NN):

386 '''Convert a lat-/longitude point to a UPS coordinate.

387

388 @arg latlon: Latitude (C{degrees}) or an (ellipsoidal)

389 geodetic C{LatLon} point.

390 @kwarg lon: Optional longitude (C{degrees}) or C{None} if

391 B{C{latlon}} is a C{LatLon}.

392 @kwarg datum: Optional datum for this UPS coordinate,

393 overriding B{C{latlon}}'s datum (C{Datum},

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

395 @kwarg Ups: Optional class to return the UPS coordinate

396 (L{Ups}) or C{None}.

397 @kwarg pole: Optional top/center of (stereographic) projection

398 (C{str}, C{'N[orth]'} or C{'S[outh]'}).

399 @kwarg falsed: False both easting and northing (C{bool}).

400 @kwarg strict: Restrict B{C{lat}} to UPS ranges (C{bool}).

401 @kwarg name: Optional B{C{Ups}} name (C{str}).

402

403 @return: The UPS coordinate (B{C{Ups}}) or a

404 L{UtmUps8Tuple}C{(zone, hemipole, easting, northing,

405 band, datum, gamma, scale)} if B{C{Ups}} is C{None}.

406 The C{hemipole} is the C{'N'|'S'} pole, the UPS

407 projection top/center.

408

409 @raise RangeError: If B{C{strict}} and B{C{lat}} outside the valid

410 UPS bands or if B{C{lat}} or B{C{lon}} outside

411 the valid range and L{pygeodesy.rangerrors} set

412 to C{True}.

413

414 @raise TypeError: If B{C{latlon}} is not ellipsoidal or

415 B{C{datum}} invalid.

416

417 @raise ValueError: If B{C{lon}} value is missing or if B{C{latlon}}

418 is invalid.

419

420 @see: I{Karney}'s C++ class U{UPS

421 <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1UPS.html>}.

422 '''

423 lat, lon, d, name = _to4lldn(latlon, lon, datum, name)

424 z, B, p, lat, lon = upsZoneBand5(lat, lon, strict=strict) # PYCHOK UtmUpsLatLon5Tuple

425

426 d = _ellipsoidal_datum(d, name=name)

427 E = d.ellipsoid

428

429 p = str(pole or p)[:1].upper()

430 S = p == _S_ # at south[pole]

431

432 a = -lat if S else lat

433 P = isnear90(a, eps90=_Tol90) # at pole

434

435 t = tan(radians(a))

436 T = E.es_taupf(t)

437 r = (hypot1(T) - T) if T < 0 else (_0_0 if P else _1_0 /

438 (hypot1(T) + T))

439

440 k0 = getattr(Ups, _under(_scale0_), _K0_UPS) # Ups is class or None

441 r *= k0 * E.a * _2_0 / E.es_c

442

443 k = k0 if P else _scale(E, r, t)

444 g = lon # [-180, 180) from .upsZoneBand5

445 x, y = sincos2d(g)

446 x *= r

447 y *= r

448 if S:

449 g = _neg(g)

450 else:

451 y = _neg(y)

452

453 if falsed:

454 x += _Falsing

455 y += _Falsing

456

457 n = name or nameof(latlon)

458 if Ups is None:

459 r = UtmUps8Tuple(z, p, x, y, B, d, g, k, Error=UPSError, name=n)

460 else:

461 if z != _UPS_ZONE and not strict:

462 z = _UPS_ZONE # ignore UTM zone

463 r = Ups(z, p, x, y, band=B, datum=d, falsed=falsed,

464 gamma=g, scale=k, name=n)

465 if isinstance(latlon, _LLEB) and d is latlon.datum: # see utm._toXtm8

466 r._latlon5args(latlon, _toBand, falsed) # XXX weakref(latlon)?

467 latlon._gamma = g

468 latlon._scale = k

469 else:

470 r._hemisphere = _hemi(lat)

471 if not r._band:

472 r._band = _toBand(lat, lon)

473 return r

474

475

476 def upsZoneBand5(lat, lon, strict=True, name=NN):

477 '''Return the UTM/UPS zone number, I{polar} Band letter, pole and

478 clipped lat- and longitude for a given location.

479

480 @arg lat: Latitude in degrees (C{scalar} or C{str}).

481 @arg lon: Longitude in degrees (C{scalar} or C{str}).

482 @kwarg strict: Restrict B{C{lat}} to UPS ranges (C{bool}).

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

484

485 @return: A L{UtmUpsLatLon5Tuple}C{(zone, band, hemipole,

486 lat, lon)} where C{hemipole} is the C{'N'|'S'} pole,

487 the UPS projection top/center and C{lon} [-180..180).

488

489 @note: The C{lon} is set to C{0} if B{C{lat}} is C{-90} or

490 C{90}, see env variable C{PYGEODESY_UPS_POLES} in

491 module L{pygeodesy.ups}.

492

493 @raise RangeError: If B{C{strict}} and B{C{lat}} in the UTM

494 and not the UPS range or if B{C{lat}} or

495 B{C{lon}} outside the valid range and

496 L{pygeodesy.rangerrors} set to C{True}.

497

498 @raise ValueError: Invalid B{C{lat}} or B{C{lon}}.

499 '''

500 z, lat, lon = _to3zll(*parseDMS2(lat, lon))

501 if _BZ_UPS and lon < 0 and isnear90(fabs(lat), eps90=_Tol90): # DMA TM8358.1 only ...

502 lon = 0 # ... zones B and Z at 90°S and 90°N, see also GeoConvert

503

504 if lat < _UPS_LAT_MIN: # includes 30' overlap

505 z, B, p = _UPS_ZONE, _toBand(lat, lon), _S_

506

507 elif lat > _UPS_LAT_MAX: # includes 30' overlap

508 z, B, p = _UPS_ZONE, _toBand(lat, lon), _N_

509

510 elif strict:

511 r = _range_(_UPS_LAT_MIN, _UPS_LAT_MAX, prec=1)

512 t = _SPACE_(_inside_, _UTM_, _range_, r)

513 raise RangeError(lat=degDMS(lat), txt=t)

514

515 else:

516 B, p = NN, _hemi(lat)

517 return UtmUpsLatLon5Tuple(z, B, p, lat, lon, Error=UPSError, name=name)

518

519# **) MIT License

520#

521# Copyright (C) 2016-2024 -- mrJean1 at Gmail -- All Rights Reserved.

522#

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

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

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

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

529#

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

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