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, _xkwds_pop2

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, _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__ = '24.06.11'

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 class UPSError(_ValueError):

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

62 '''

63 pass

64

65

66 class Ups(UtmUpsBase):

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

68 '''

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

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

71 _Error = UPSError # Error class

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

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

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

75

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

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

78 falsed=True, gamma=None, scale=None,

79 **name_convergence):

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

81

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

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

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

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

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

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

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

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

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

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

92 falsed (C{bool}).

93 @kwarg gamma: Optional meridian convergence, bearing off grid North,

94 clockwise from true North to save (C{degrees}) or C{None}.

95 @kwarg scale: Optional grid scale factor to save (C{scalar}) or C{None}.

96 @kwarg name_convergence: Optional C{B{name}=NN} (C{str}) and DEPRECATED

97 keyword argument C{B{convergence}=None}, use B{C{gamma}}.

98

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

100

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

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

103 or B{C{scale}}.

104 '''

105 if name_convergence:

106 gamma, name = _xkwds_pop2(name_convergence, convergence=gamma)

107 if name:

108 self.name = name

109 try:

110 z, B, self._pole = _to3zBhp(zone, band, hemipole=pole)

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

112 raise ValueError

113 except (TypeError, ValueError) as x:

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

115

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

117 gamma=gamma, scale=scale)

118

119 def __eq__(self, other):

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

121 and other.pole == self.pole \

122 and other.easting == self.easting \

123 and other.northing == self.northing \

124 and other.band == self.band \

125 and other.datum == self.datum

126

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

128 def band(self):

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

130 '''

131 if not self._band:

132 self._toLLEB()

133 return self._band

134

135 @band.setter # PYCHOK setter!

136 def band(self, band):

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

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

139

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

141

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

143 '''

144 self._band1(band)

145

146 @Property_RO

147 def falsed2(self):

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

149 '''

150 f = _Falsing if self.falsed else 0

151 return EasNor2Tuple(f, f)

152

153 def parse(self, strUPS, **name):

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

155

156 @arg strUPS: The UPS coordinate (C{str}), see function L{parseUPS5}.

157 @kwarg name: Optional C{B{name}=NN} (C{str}), overriding this name.

158

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

160

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

162

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

164 '''

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

166 name=self._name__(name))

167

168 @deprecated_method

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

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

171 return self.parse(strUPS)

172

173 @Property_RO

174 def pole(self):

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

176 '''

177 return self._pole

178

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

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

181

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

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

184

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

186 L{rangerrors<pygeodesy.rangerrors>} is C{True}.

187

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

189 '''

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

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

192 k = s0 / u.scale

193 if self.scale0 != k:

194 _update_all(self)

195 self._band = NN # force re-compute

196 self._latlon = self._utm = None

197 self._scale0 = Float(scale0=k)

198

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

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

201

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

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

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

205 if falsed (C{bool}).

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

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

208

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

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

211 gamma, scale)}.

212

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

214

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

216 '''

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

218 return self._latlon5(LatLon)

219 else:

220 self._toLLEB(unfalse=unfalse)

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

222

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

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

225 '''

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

227

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

229

230 r = hypot(x, y)

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

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

233 a = atan1d(t)

234 if self._pole == _N_:

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

236 else:

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

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

239

240 k = _scale(E, r, t) if r > 0 else self.scale0

241 self._latlon5args(ll, g * b, k, _toBand, unfalse)

242

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

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

245

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

247 MGRS grid references).

248

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

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

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

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

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

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

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

256

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

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

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

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

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

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

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

264

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

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

267 '''

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

269

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

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

272

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

274 MGRS grid references).

275

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

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

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

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

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

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

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

283

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

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

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

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

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

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

290

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

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

293 '''

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

295

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

297 '''Duplicate this UPS coordinate.

298

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

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

301

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

303

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

305 the projection top/center.

306 '''

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

308 return self.copy()

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

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

311

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

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

314

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

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

317

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

319 '''

320 u = self._utm

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

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

323 utm = _MODS.utm

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

325 name=self.name, zone=zone)

326 return u

327

328 @Property_RO

329 def zone(self):

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

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

332 '''

333 return _UPS_ZONE

334

335

336 class _Ups_K1(Ups):

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

338 '''

339 _scale0 = _K1_UPS

340

341

342 def parseUPS5(strUPS, datum=_WGS84, Ups=Ups, falsed=True, **name):

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

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

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

346

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

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

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

350 or C{None}.

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

352 are falsed (C{bool}).

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

354

355 @return: The UPS coordinate (B{C{Ups}}) or if C{B{Ups} is None}, a

356 L{UtmUps5Tuple}C{(zone, hemipole, easting, northing, band)}.

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

358 top/center.

359

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

361 '''

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

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

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

365

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

367 else Ups(z, p, e, n, band=B, falsed=falsed, datum=datum, **name)

368 return r

369

370

371 def _scale(E, rho, tau):

372 # compute the point scale factor, ala Karney

373 t = hypot1(tau)

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

375

376

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

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

379 '''

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

381

382

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

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

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

386

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

388 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, overriding

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

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

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

395 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: If C{True}, 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}} C{B{name}=NN} (C{str}).

401

402 @return: The UPS coordinate (B{C{Ups}}) or if C{B{Ups} is None}, a

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

404 datum, gamma, scale)} where C{hemipole} is the C{'N'|'S'}

405 pole, the UPS projection top/center.

406

407 @raise RangeError: If B{C{strict}} and B{C{lat}} outside the valid UPS bands

408 or if B{C{lat}} or B{C{lon}} outside the valid range and

409 L{rangerrors<pygeodesy.rangerrors>} is C{True}.

410

411 @raise TypeError: If B{C{latlon}} is not ellipsoidal or if B{C{datum}} is invalid.

412

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

414

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

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

417 '''

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

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

420

421 d = _ellipsoidal_datum(d, name=name)

422 E = d.ellipsoid

423

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

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

426

427 a = -lat if S else lat

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

429

430 t = tan(radians(a))

431 T = E.es_taupf(t)

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

433 (hypot1(T) + T))

434

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

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

437

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

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

440 x, y = sincos2d(g)

441 x *= r

442 y *= r

443 if S:

444 g = _neg(g)

445 else:

446 y = _neg(y)

447

448 if falsed:

449 x += _Falsing

450 y += _Falsing

451

452 n = name or nameof(latlon)

453 if Ups is None:

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

455 else:

456 if z != _UPS_ZONE and not strict:

457 z = _UPS_ZONE # ignore UTM zone

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

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

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

461 r._latlon5args(latlon, g, k, _toBand, falsed) # XXX weakref(latlon)?

462 else:

463 r._hemisphere = _hemi(lat)

464 if not r._band:

465 r._band = _toBand(lat, lon)

466 return r

467

468

469 def upsZoneBand5(lat, lon, strict=True, **name):

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

471 clipped lat- and longitude for a given location.

472

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

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

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

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

477

478 @return: A L{UtmUpsLatLon5Tuple}C{(zone, band, hemipole, lat, lon)}

479 where C{hemipole} is the C{'N'|'S'} pole, the UPS projection

480 top/center and C{lon} [-180..180).

481

482 @note: The C{lon} is set to C{0} if B{C{lat}} is C{-90} or C{90}, see env

483 variable C{PYGEODESY_UPS_POLES} in module L{ups<pygeodesy.ups>}.

484

485 @raise RangeError: If B{C{strict} is True} and B{C{lat}} within the UTM but not

486 the UPS range or if B{C{lat}} or B{C{lon}} outside the valid

487 range and L{rangerrors<pygeodesy.rangerrors>} is C{True}.

488

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

490 '''

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

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

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

494

495 if lat < _UPS_LAT_MIN: # includes 30' overlap

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

497

498 elif lat > _UPS_LAT_MAX: # includes 30' overlap

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

500

501 elif strict:

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

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

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

505

506 else:

507 B, p = NN, _hemi(lat)

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

509

510# **) MIT License

511#

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

513#

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

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

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

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

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

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

520#

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

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

523#

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

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

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

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

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

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

530# OTHER DEALINGS IN THE SOFTWARE.