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.interns import NN, _COMMASPACE_, _inside_, _N_, _pole_, \

32 _range_, _S_, _scale0_, _SPACE_, _std_, \

33 _to_, _UTM_, _UNDER

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

35 from pygeodesy.named import nameof, _xnamed

36 from pygeodesy.namedTuples import EasNor2Tuple, UtmUps5Tuple, \

37 UtmUps8Tuple, UtmUpsLatLon5Tuple

38 from pygeodesy.props import deprecated_method, property_doc_, \

39 Property_RO, _update_all

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

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

42 from pygeodesy.utily import degrees90, degrees180, sincos2d

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

44 _to3zBhp, _to3zll, _UPS_BANDS as _Bands, \

45 _UPS_LAT_MAX, _UPS_LAT_MIN, _UPS_ZONE, \

46 _UPS_ZONE_STR, UtmUpsBase

47

48 from math import atan, atan2, fabs, radians, tan

49

50__all__ = _ALL_LAZY.ups

51__version__ = '23.03.19'

52

53_BZ_UPS = _getenv('PYGEODESY_UPS_POLES', _std_) == _std_

54_Falsing = Meter(2000e3) # false easting and northing (C{meter})

55_K0_UPS = Float(_K0_UPS= 0.994) # scale factor at central meridian

56_K1_UPS = Float(_K1_UPS=_1_0) # rescale point scale factor

57

58

59 def _scale(E, rho, tau):

60 # compute the point scale factor, ala Karney

61 t = hypot1(tau)

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

63

64

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

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

67 '''

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

69

70

71 class UPSError(_ValueError):

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

73 '''

74 pass

75

76

77 class Ups(UtmUpsBase):

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

79 '''

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

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

82 _Error = UPSError # Error class

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

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

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

86

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

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

89 falsed=True, gamma=None, scale=None,

90 name=NN, **convergence):

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

92

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

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

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

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

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

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

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

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

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

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

103 are falsed (C{bool}).

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

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

106 (C{scalar}).

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

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

109

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

111

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

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

114 or B{C{scale}}.

115 '''

116 if name:

117 self.name = name

118

119 try:

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

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

122 raise ValueError

123 except (TypeError, ValueError) as x:

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

125 self._pole = p

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

127 gamma=gamma, scale=scale, **convergence)

128

129 def __eq__(self, other):

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

131 and other.pole == self.pole \

132 and other.easting == self.easting \

133 and other.northing == self.northing \

134 and other.band == self.band \

135 and other.datum == self.datum

136

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

138 def band(self):

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

140 '''

141 if not self._band:

142 self._toLLEB()

143 return self._band

144

145 @band.setter # PYCHOK setter!

146 def band(self, band):

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

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

149

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

151

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

153 '''

154 self._band1(band)

155

156 @Property_RO

157 def falsed2(self):

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

159 '''

160 f = _Falsing if self.falsed else 0

161 return EasNor2Tuple(f, f)

162

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

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

165

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

167 see function L{parseUPS5}.

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

169 overriding this name.

170

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

172

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

174

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

176 '''

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

178 name=name or self.name)

179

180 @deprecated_method

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

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

183 return self.parse(strUPS)

184

185 @Property_RO

186 def pole(self):

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

188 '''

189 return self._pole

190

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

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

193

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

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

196

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

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

199

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

201 '''

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

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

204 k = s0 / u.scale

205 if self.scale0 != k:

206 _update_all(self)

207 self._band = NN # force re-compute

208 self._latlon = self._utm = None

209 self._scale0 = Float(scale0=k)

210

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

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

213

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

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

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

217 if falsed (C{bool}).

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

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

220

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

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

223 gamma, scale)}.

224

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

226

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

228 '''

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

230 return self._latlon5(LatLon)

231 else:

232 self._toLLEB(unfalse=unfalse)

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

234

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

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

237 '''

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

239

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

241

242 r = hypot(x, y)

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

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

245 a = atan(t)

246 if self._pole == _N_:

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

248 else:

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

250 ll = _LLEB(degrees90(a), degrees180(b), datum=self._datum, name=self.name)

251

252 ll._gamma = b * g

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

254 self._latlon5args(ll, _toBand, unfalse)

255

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

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

258

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

260 MGRS grid references).

261

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

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

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

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

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

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

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

269

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

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

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

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

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

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

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

277

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

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

280 '''

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

282

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

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

285

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

287 MGRS grid references).

288

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

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

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

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

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

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

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

296

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

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

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

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

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

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

303

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

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

306 '''

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

308

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

310 '''Duplicate this UPS coordinate.

311

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

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

314

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

316

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

318 the projection top/center.

319 '''

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

321 return self.copy()

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

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

324

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

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

327

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

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

330

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

332 '''

333 u = self._utm

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

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

336 utm = _MODS.utm

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

338 name=self.name, zone=zone)

339 return u

340

341 @Property_RO

342 def zone(self):

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

344 GeographicLib.SourceForge.io/html/classGeographicLib_1_1UTMUPS.html>}.

345 '''

346 return _UPS_ZONE

347

348

349 class _Ups_K1(Ups):

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

351 '''

352 _scale0 = _K1_UPS

353

354

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

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

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

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

359

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

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

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

363 or C{None}.

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

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

366

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

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

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

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

371

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

373 '''

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

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

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

377

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

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

380 return _xnamed(r, name)

381

382

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

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

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

386

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

388 geodetic C{LatLon} point.

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

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

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

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

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

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

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

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

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

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

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

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

401

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

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

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

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

406 projection top/center.

407

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

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

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

411 to C{True}.

412

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

414 B{C{datum}} invalid.

415

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

417 is invalid.

418

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

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

421 '''

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

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

424

425 d = _ellipsoidal_datum(d, name=name)

426 E = d.ellipsoid

427

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

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

430

431 a = -lat if S else lat

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

433

434 t = tan(radians(a))

435 T = E.es_taupf(t)

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

437 (hypot1(T) + T))

438

439 k0 = getattr(Ups, _UNDER(_scale0_), _K0_UPS) # Ups is class or None

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

441

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

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

444 x, y = sincos2d(g)

445 x *= r

446 y *= r

447 if S:

448 g = _neg(g)

449 else:

450 y = _neg(y)

451

452 if falsed:

453 x += _Falsing

454 y += _Falsing

455

456 n = name or nameof(latlon)

457 if Ups is None:

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

459 else:

460 if z != _UPS_ZONE and not strict:

461 z = _UPS_ZONE # ignore UTM zone

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

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

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

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

466 latlon._gamma = g

467 latlon._scale = k

468 else:

469 r._hemisphere = _hemi(lat)

470 if not r._band:

471 r._band = _toBand(lat, lon)

472 return r

473

474

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

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

477 clipped lat- and longitude for a given location.

478

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

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

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

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

483

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

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

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

487

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

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

490 module L{pygeodesy.ups}.

491

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

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

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

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

496

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

498 '''

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

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

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

502

503 if lat < _UPS_LAT_MIN: # includes 30' overlap

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

505

506 elif lat > _UPS_LAT_MAX: # includes 30' overlap

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

508

509 elif strict:

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

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

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

513

514 else:

515 B, p = NN, _hemi(lat)

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

517

518# **) MIT License

519#

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

521#

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

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

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

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

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

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

528#

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

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

531#

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

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

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

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

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

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

538# OTHER DEALINGS IN THE SOFTWARE.