1

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

3

4 u'''Military Grid Reference System (MGRS/NATO) references.

5

6 Classes L{Mgrs}, L{Mgrs4Tuple} and L{Mgrs6Tuple} and functions L{parseMGRS}

7 and L{toMgrs}.

8

9 Pure Python implementation of MGRS, UTM and UPS conversions covering the entire

10 I{ellipsoidal} earth, transcoded from I{Chris Veness}' JavaScript originals U{MGRS

11<https://www.Movable-Type.co.UK/scripts/latlong-utm-mgrs.html>} and U{Module mgrs

12<https://www.Movable-Type.co.UK/scripts/geodesy/docs/module-mgrs.html>} and from

13 I{Charles Karney}'s C++ class U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/

14 classGeographicLib_1_1MGRS.html>}.

15

16 MGRS references comprise a grid zone designation (GZD), a 100 Km grid (square)

17 tile identification and an easting and northing (in C{meter}). The GZD consists

18 of a longitudinal zone (or column) I{number} and latitudinal band (row) I{letter}

19 in the UTM region between 80°S and 84°N. Each zone (column) is 6° wide and each

20 band (row) is 8° high, except top band 'X' is 12° tall. In UPS polar regions

21 below 80°S and above 84°N the GZD contains only a single I{letter}, C{'A'} or

22 C{'B'} near the south and C{'Y'} or C{'Z'} around the north pole (for west

23 respectively east longitudes).

24

25 See also the U{United States National Grid<https://www.FGDC.gov/standards/projects/

26 FGDC-standards-projects/usng/fgdc_std_011_2001_usng.pdf>} and U{Military Grid

27 Reference System<https://WikiPedia.org/wiki/Military_grid_reference_system>}.

28

29 See module L{pygeodesy.ups} for env variable C{PYGEODESY_UPS_POLES} determining

30 the UPS encoding I{at} the south and north pole.

31

32 Set env variable C{PYGEODESY_GEOCONVERT} to the (fully qualified) path of the

33 C{GeoConvert} executable to run this module as I{python[3] -m pygeodesy.mgrs}

34 and compare the MGRS results with those from I{Karney}'s utility U{GeoConvert

35<https://GeographicLib.sourceforge.io/C++/doc/GeoConvert.1.html>}.

36'''

37

38 from pygeodesy.basics import halfs2, _splituple, _xinstanceof

39# from pygeodesy.constants import _0_5 # from .units

40 from pygeodesy.datums import _ellipsoidal_datum, _WGS84

41 from pygeodesy.errors import _AssertionError, MGRSError, _parseX, \

42 _ValueError, _xkwds

43 from pygeodesy.interns import NN, _0_, _A_, _AtoZnoIO_, _band_, _B_, \

44 _COMMASPACE_, _datum_, _easting_, _invalid_, \

45 _northing_, _not_, _SPACE_, _W_, _Y_, _Z_, _zone_

46 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS, _PYGEODESY_GEOCONVERT_

47 from pygeodesy.named import _NamedBase, _NamedTuple, _Pass, _xnamed

48 from pygeodesy.namedTuples import EasNor2Tuple, UtmUps5Tuple

49 from pygeodesy.props import deprecated_property_RO, property_RO, Property_RO

50 from pygeodesy.streprs import enstr2, _enstr2m3, Fmt, _resolution10, _xzipairs

51 from pygeodesy.units import Easting, Northing, Str, _100km, _0_5

52 from pygeodesy.units import _1um, _2000km # PYCHOK used!

53 from pygeodesy.ups import _hemi, toUps8, Ups, _UPS_ZONE

54 from pygeodesy.utm import toUtm8, _to3zBlat, Utm, _UTM_ZONE_MAX, _UTM_ZONE_MIN

55# from pygeodesy.utmupsBase import _UTM_ZONE_MAX, _UTM_ZONE_MIN # from .utm

56

57__all__ = _ALL_LAZY.mgrs

58__version__ = '24.05.13'

59

60_AN_ = 'AN' # default south pole grid tile and band B

61_AtoPx_ = _AtoZnoIO_.tillP

62# <https://GitHub.com/hrbrmstr/mgrs/blob/master/src/mgrs.c>

63_FeUPS = {_A_: 8, _B_: 20, _Y_: 8, _Z_: 20} # falsed offsets (C{_100kms})

64_FnUPS = {_A_: 8, _B_: 8, _Y_: 13, _Z_: 13} # falsed offsets (C{_100kms})

65_JtoZx_ = 'JKLPQRSTUXYZZ' # _AtoZnoDEIMNOVW.fromJ, duplicate Z

66# 100 Km grid tile UTM column (E) letters, repeating every third zone

67_LeUTM = _AtoZnoIO_.tillH, _AtoZnoIO_.fromJ.tillR, _AtoZnoIO_.fromS # grid E colums

68# 100 Km grid tile UPS column (E) letters for each polar zone

69_LeUPS = {_A_: _JtoZx_, _B_: 'ABCFGHJKLPQR', _Y_: _JtoZx_, _Z_: 'ABCFGHJ'}

70# 100 Km grid tile UTM and UPS row (N) letters, repeating every other zone

71_LnUTM = _AtoZnoIO_.tillV, _AtoZnoIO_.fromF.tillV + _AtoZnoIO_.tillE # grid N rows

72_LnUPS = {_A_: _AtoZnoIO_, _B_: _AtoZnoIO_, _Y_: _AtoPx_, _Z_: _AtoPx_}

73_polar_ = _SPACE_('polar', _zone_)

74

75

76 class Mgrs(_NamedBase):

77 '''Military Grid Reference System (MGRS/NATO) references,

78 with method to convert to UTM coordinates.

79 '''

80 _band = NN # latitudinal (C..X) or polar (ABYZ) band

81 _bandLat = None # band latitude (C{degrees90} or C{None})

82 _datum = _WGS84 # Datum (L{Datum})

83 _easting = 0 # Easting (C{meter}), within 100 Km grid tile

84 _EN = NN # EN digraph (C{str}), 100 Km grid tile

85 _northing = 0 # Northing (C{meter}), within 100 Km grid tile

86 _resolution = 0 # from L{parseMGRS}, centering (C{meter})

87 _zone = 0 # longitudinal or polar zone (C{int}), 0..60

88

89 def __init__(self, zone=0, EN=NN, easting=0, northing=0, band=NN,

90 datum=_WGS84, resolution=0, name=NN):

91 '''New L{Mgrs} Military grid reference.

92

93 @arg zone: The 6° I{longitudinal} zone (C{int}), 1..60 covering

94 180°W..180°E or C{0} for I{polar} regions or (C{str})

95 with the zone number and I{latitudinal} band letter.

96 @arg EN: Two-letter EN digraph (C{str}), grid tile I{using only}

97 the I{AA} aka I{MGRS-New} (row) U{lettering scheme

98 <http://Wikipedia.org/wiki/Military_Grid_Reference_System>}.

99 @kwarg easting: Easting (C{meter}), within 100 Km grid tile.

100 @kwarg northing: Northing (C{meter}), within 100 Km grid tile.

101 @kwarg band: Optional, I{latitudinal} band or I{polar} region letter

102 (C{str}), 'C'|..|'X' covering 80°S..84°N (no 'I'|'O'),

103 'A'|'B' at the south or 'Y'|'Z' at the north pole.

104 @kwarg datum: This reference's datum (L{Datum}, L{Ellipsoid},

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

106 @kwarg resolution: Optional resolution (C{meter}), C{0} for default.

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

108

109 @raise MGRSError: Invalid B{C{zone}}, B{C{EN}}, B{C{easting}},

110 B{C{northing}}, B{C{band}} or B{C{resolution}}.

111

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

113 '''

114 if name:

115 self.name = name

116

117 if not (zone or EN or band):

118 EN, band = _AN_, _B_ # default, south pole

119 try:

120 self._zone, self._band, self._bandLat = _to3zBlat(zone, band, Error=MGRSError)

121 en = str(EN)

122 if len(en) != 2 or not en.isalpha():

123 raise ValueError() # caught below

124 self._EN = en.upper()

125 _ = self._EN2m # check E and N

126 except (IndexError, KeyError, TypeError, ValueError):

127 raise MGRSError(band=band, EN=EN, zone=zone)

128

129 self._easting = Easting(easting, Error=MGRSError)

130 self._northing = Northing(northing, Error=MGRSError)

131 if datum not in (None, Mgrs._datum):

132 self._datum = _ellipsoidal_datum(datum, name=name) # XXX raiser=_datum_

133

134 if resolution:

135 self.resolution = resolution

136

137 def __str__(self):

138 return self.toStr(sep=_SPACE_) # for backward compatibility

139

140 @property_RO

141 def band(self):

142 '''Get the I{latitudinal} band C{'C'|..|'X'} (no C{'I'|'O'})

143 or I{polar} region C{'A'|'B'|'Y'|'Z'}) letter (C{str}).

144 '''

145 return self._band

146

147 @Property_RO

148 def bandLatitude(self):

149 '''Get the band latitude (C{degrees90}).

150 '''

151 return self._bandLat

152

153 @Property_RO

154 def datum(self):

155 '''Get the datum (L{Datum}).

156 '''

157 return self._datum

158

159 @deprecated_property_RO

160 def digraph(self):

161 '''DEPRECATED, use property C{EN}.'''

162 return self.EN

163

164 @property_RO

165 def EN(self):

166 '''Get the 2-letter grid tile (C{str}).

167 '''

168 return self._EN

169

170 @deprecated_property_RO

171 def en100k(self):

172 '''DEPRECATED, use property C{EN}.'''

173 return self.EN

174

175 @Property_RO

176 def _EN2m(self):

177 '''(INTERNAL) Get the grid 2-tuple (easting, northing) in C{meter}.

178

179 @note: Raises AssertionError, IndexError or KeyError: Invalid

180 C{zone} number, C{EN} letter or I{polar} region letter.

181 '''

182 EN = self.EN

183 if self.isUTM:

184 i = self.zone - 1

185 # get easting from the E column (note, +1 because

186 # easting starts at 166e3 due to 500 Km falsing)

187 e = _LeUTM[i % 3].index(EN[0]) + 1

188 # similarly, get northing from the N row

189 n = _LnUTM[i % 2].index(EN[1])

190 elif self.isUPS:

191 B = self.band

192 e = _LeUPS[B].index(EN[0]) + _FeUPS[B]

193 n = _LnUPS[B].index(EN[1]) + _FnUPS[B]

194 else:

195 raise _AssertionError(zone=self.zone)

196 return float(e * _100km), float(n * _100km) # meter

197

198 @property_RO

199 def easting(self):

200 '''Get the easting (C{meter} within grid tile).

201 '''

202 return self._easting

203

204 @Property_RO

205 def eastingnorthing(self):

206 '''Get easting and northing (L{EasNor2Tuple}C{(easting, northing)})

207 I{within} the MGRS grid tile, both in C{meter}.

208 '''

209 return EasNor2Tuple(self.easting, self.northing)

210

211 @Property_RO

212 def isUPS(self):

213 '''Is this MGRS in a (polar) UPS zone (C{bool}).

214 '''

215 return self._zone == _UPS_ZONE

216

217 @Property_RO

218 def isUTM(self):

219 '''Is this MGRS in a (non-polar) UTM zone (C{bool}).

220 '''

221 return _UTM_ZONE_MIN <= self._zone <= _UTM_ZONE_MAX

222

223 @property_RO

224 def northing(self):

225 '''Get the northing (C{meter} within grid tile).

226 '''

227 return self._northing

228

229 @Property_RO

230 def northingBottom(self):

231 '''Get the northing of the band bottom (C{meter}).

232 '''

233 a = self.bandLatitude

234 u = toUtm8(a, 0, datum=self.datum, Utm=None) if self.isUTM else \

235 toUps8(a, 0, datum=self.datum, Ups=None)

236 return int(u.northing / _100km) * _100km

237

238 def parse(self, strMGRS, name=NN):

239 '''Parse a string to a similar L{Mgrs} instance.

240

241 @arg strMGRS: The MGRS reference (C{str}),

242 see function L{parseMGRS}.

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

244 overriding this name.

245

246 @return: The similar instance (L{Mgrs}).

247

248 @raise MGRSError: Invalid B{C{strMGRS}}.

249 '''

250 return parseMGRS(strMGRS, datum=self.datum, Mgrs=self.classof,

251 name=name or self.name)

252

253 @property

254 def resolution(self):

255 '''Get the MGRS resolution (C{meter}, power of 10)

256 or C{0} if undefined.

257 '''

258 return self._resolution

259

260 @resolution.setter # PYCHOK setter!

261 def resolution(self, resolution):

262 '''Set the MGRS resolution (C{meter}, power of 10)

263 or C{0} to undefine and disable UPS/UTM centering.

264

265 @raise MGRSError: Invalid B{C{resolution}}, over

266 C{1.e+5} or under C{1.e-6}.

267 '''

268 if resolution: # and resolution > 0

269 r = _resolution10(resolution, Error=MGRSError)

270 else:

271 r = 0

272 if self._resolution != r:

273 self._resolution = r

274

275 @Property_RO

276 def tilesize(self):

277 '''Get the MGRS grid tile size (C{meter}).

278 '''

279 assert _MODS.utmups._MGRS_TILE is _100km

280 return _100km

281

282 def toLatLon(self, LatLon=None, center=True, **toLatLon_kwds):

283 '''Convert this MGRS grid reference to a UTM coordinate.

284

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

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

287 @kwarg center: Optionally, return the grid's center or

288 lower left corner (C{bool}).

289 @kwarg toLatLon_kwds: Optional, additional L{Utm.toLatLon}

290 and B{C{LatLon}} keyword arguments.

291

292 @return: A B{C{LatLon}} instance or if C{B{LatLon} is None}

293 a L{LatLonDatum5Tuple}C{(lat, lon, datum, gamma,

294 scale)}.

295

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

297

298 @raise UTMError: Invalid meridional radius or H-value.

299

300 @see: Methods L{Mgrs.toUtm} and L{Utm.toLatLon}.

301 '''

302 u = self.toUtmUps(center=center)

303 return u.toLatLon(LatLon=LatLon, **toLatLon_kwds)

304

305 def toRepr(self, fmt=Fmt.SQUARE, sep=_COMMASPACE_, **prec): # PYCHOK expected

306 '''Return a string representation of this MGRS grid reference.

307

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

309 @kwarg sep: Separator between name:values (C{str}).

310 @kwarg prec: Precision (C{int}), see method L{Mgrs.toStr}.

311

312 @return: This Mgrs as "[Z:[dd]B, G:EN, E:easting, N:northing]"

313 (C{str}), with C{B{sep} ", "}.

314

315 @note: MGRS grid references are truncated, not rounded (unlike

316 UTM/UPS coordinates).

317

318 @raise ValueError: Invalid B{C{prec}}.

319 '''

320 t = self.toStr(sep=None, **prec)

321 return _xzipairs('ZGEN', t, sep=sep, fmt=fmt)

322

323 def toStr(self, prec=0, sep=NN): # PYCHOK expected

324 '''Return this MGRS grid reference as a string.

325

326 @kwarg prec: Precision, the number of I{decimal} digits (C{int}) or if

327 negative, the number of I{units to drop}, like MGRS U{PRECISION

328 <https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html#PRECISION>}.

329 @kwarg sep: Optional separator to join (C{str}) or C{None} to return an unjoined

330 3-C{tuple} of C{str}s.

331

332 @return: This Mgrs as 4-tuple C{("dd]B", "EN", "easting", "northing")} if C{B{sep}=NN}

333 or "[dd]B EN easting northing" (C{str}) with C{B{sep} " "}.

334

335 @note: Both C{easting} and C{northing} strings are C{NN} or missing if C{B{prec} <= -5}.

336

337 @note: MGRS grid references are truncated, not rounded (unlike UTM/UPS).

338

339 @raise ValueError: Invalid B{C{prec}}.

340 '''

341 zB = self.zoneB

342 t = enstr2(self._easting, self._northing, prec, zB, self.EN)

343 return t if sep is None else sep.join(t).rstrip()

344

345 def toUps(self, Ups=Ups, center=False):

346 '''Convert this MGRS grid reference to a UPS coordinate.

347

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

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

350 @kwarg center: Optionally, center easting and northing

351 by the resolution (C{bool}).

352

353 @return: A B{C{Ups}} instance or if C{B{Ups} is None}

354 a L{UtmUps5Tuple}C{(zone, hemipole, easting,

355 northing, band)}.

356

357 @raise MGRSError: This MGRS is a I{non-polar} UTM reference.

358 '''

359 if self.isUTM:

360 raise MGRSError(zoneB=self.zoneB, txt=_not_(_polar_))

361 return self._toUtmUps(Ups, center)

362

363 def toUtm(self, Utm=Utm, center=False):

364 '''Convert this MGRS grid reference to a UTM coordinate.

365

366 @kwarg Utm: Optional class to return the UTM coordinate

367 (L{Utm}) or C{None}.

368 @kwarg center: Optionally, center easting and northing

369 by the resolution (C{bool}).

370

371 @return: A B{C{Utm}} instance or if C{B{Utm} is None}

372 a L{UtmUps5Tuple}C{(zone, hemipole, easting,

373 northing, band)}.

374

375 @raise MGRSError: This MGRS is a I{polar} UPS reference.

376 '''

377 if self.isUPS:

378 raise MGRSError(zoneB=self.zoneB, txt=_polar_)

379 return self._toUtmUps(Utm, center)

380

381 def toUtmUps(self, Utm=Utm, Ups=Ups, center=False):

382 '''Convert this MGRS grid reference to a UTM or UPS coordinate.

383

384 @kwarg Utm: Optional class to return the UTM coordinate

385 (L{Utm}) or C{None}.

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

387 (L{Utm}) or C{None}.

388 @kwarg center: Optionally, center easting and northing

389 by the resolution (C{bool}).

390

391 @return: A B{C{Utm}} or B{C{Ups}} instance or if C{B{Utm}

392 or B{Ups} is None} a L{UtmUps5Tuple}C{(zone,

393 hemipole, easting, northing, band)}.

394 '''

395 return self._toUtmUps((Utm if self.isUTM else

396 (Ups if self.isUPS else None)), center)

397

398 def _toUtmUps(self, U, center):

399 '''(INTERNAL) Helper for C{.toUps} and C{.toUtm}.

400 '''

401 e, n = self._EN2m

402 e += self.easting

403 n += self.northing

404 if self.isUTM:

405 # 100 Km row letters repeat every 2,000 Km north;

406 # add 2,000 Km blocks to get into required band

407 b = (self.northingBottom - n) / _2000km

408 if b > 0:

409 b = int(b) + 1

410 b = min(b, (3 if self.band == _W_ else 4))

411 n += b * _2000km

412 if center:

413 c = self.resolution

414 if c:

415 c *= _0_5

416 e += c

417 n += c

418 z = self.zone

419 h = _hemi(self.bandLatitude) # _S_ if self.band < _N_ else _N_

420 B = self.band

421 m = self.name

422 return UtmUps5Tuple(z, h, e, n, B, name=m, Error=MGRSError) if U is None \

423 else U(z, h, e, n, B, name=m, datum=self.datum)

424

425 @property_RO

426 def zone(self):

427 '''Get the I{longitudinal} zone (C{int}), 1..60 or 0 for I{polar}.

428 '''

429 return self._zone

430

431 @Property_RO

432 def zoneB(self):

433 '''Get the I{polar} region letter or the I{longitudinal} zone digits

434 plus I{latitudinal} band letter (C{str}).

435 '''

436 return self.band if self.isUPS else NN(Fmt.zone(self.zone), self.band)

437

438

439 class Mgrs4Tuple(_NamedTuple):

440 '''4-Tuple C{(zone, EN, easting, northing)}, C{zone} and grid

441 tile C{EN} as C{str}, C{easting} and C{northing} in C{meter}.

442

443 @note: The C{zone} consists of either the I{longitudinal} zone

444 number plus the I{latitudinal} band letter or only the

445 I{polar} region letter.

446 '''

447 _Names_ = (_zone_, 'EN', _easting_, _northing_)

448 _Units_ = ( Str, Str, Easting, Northing)

449

450 @deprecated_property_RO

451 def digraph(self):

452 '''DEPRECATED, use attribute C{EN}.'''

453 return self.EN # PYCHOK or [1]

454

455 def toMgrs(self, **Mgrs_and_kwds):

456 '''Return this L{Mgrs4Tuple} as an L{Mgrs} instance.

457 '''

458 return self.to6Tuple(NN, _WGS84).toMgrs(**Mgrs_and_kwds)

459

460 def to6Tuple(self, band=NN, datum=_WGS84):

461 '''Extend this L{Mgrs4Tuple} to a L{Mgrs6Tuple}.

462

463 @kwarg band: The band (C{str}).

464 @kwarg datum: The datum (L{Datum}).

465

466 @return: An L{Mgrs6Tuple}C{(zone, EN, easting,

467 northing, band, datum)}.

468 '''

469 z = self.zone # PYCHOK or [0]

470 B = z[-1:]

471 if B.isalpha():

472 z = z[:-1] or Fmt.zone(0)

473 t = Mgrs6Tuple(z, self.EN, self.easting, self.northing, # PYCHOK attrs

474 band or B, datum, name=self.name)

475 else:

476 t = self._xtend(Mgrs6Tuple, band, datum)

477 return t

478

479

480 class Mgrs6Tuple(_NamedTuple): # XXX only used above

481 '''6-Tuple C{(zone, EN, easting, northing, band, datum)}, with

482 C{zone}, grid tile C{EN} and C{band} as C{str}, C{easting}

483 and C{northing} in C{meter} and C{datum} a L{Datum}.

484

485 @note: The C{zone} is the I{longitudinal} zone C{"01".."60"}

486 or C{"00"} for I{polar} regions and C{band} is the

487 I{latitudinal} band or I{polar} region letter.

488 '''

489 _Names_ = Mgrs4Tuple._Names_ + (_band_, _datum_)

490 _Units_ = Mgrs4Tuple._Units_ + ( Str, _Pass)

491

492 @deprecated_property_RO

493 def digraph(self):

494 '''DEPRECATED, use attribute C{EN}.'''

495 return self.EN # PYCHOK or [1]

496

497 def toMgrs(self, Mgrs=Mgrs, **Mgrs_kwds):

498 '''Return this L{Mgrs6Tuple} as an L{Mgrs} instance.

499 '''

500 kwds = dict(self.items())

501 if self.name:

502 kwds.update(name=self.name)

503 if Mgrs_kwds:

504 kwds.update(Mgrs_kwds)

505 return Mgrs(**kwds)

506

507

508 class _RE(object):

509 '''(INTERNAL) Lazily compiled C{re}gex-es to parse MGRS strings.

510 '''

511 _EN = '([A-Z]{2})' # 2-letter grid tile designation

512 _en = '([0-9]+)' # easting_northing digits, 2-10+

513 _pB = '([ABYZ]{1})' # polar region letter, pseudo-zone 0

514 _zB = '([0-9]{1,2}[C-X]{1})' # zone number and band letter, no I|O

515

516 @Property_RO

517 def pB_EN(self): # split polar "BEN" into 2 parts

518 import re # PYCHOK warning locale.Error

519 return re.compile(_RE._pB + _RE._EN, re.IGNORECASE)

520

521 @Property_RO

522 def pB_EN_en(self): # split polar "BEN1235..." into 3 parts

523 import re # PYCHOK warning locale.Error

524 return re.compile(_RE._pB + _RE._EN + _RE._en, re.IGNORECASE)

525

526 @Property_RO

527 def zB_EN(self): # split "1[2]BEN" into 2 parts

528 import re # PYCHOK warning locale.Error

529 return re.compile(_RE._zB + _RE._EN, re.IGNORECASE)

530

531 @Property_RO

532 def zB_EN_en(self): # split "1[2]BEN1235..." into 3 parts

533 import re # PYCHOK warning locale.Error

534 return re.compile(_RE._zB + _RE._EN + _RE._en, re.IGNORECASE)

535

536_RE = _RE() # PYCHOK singleton

537

538

539 def parseMGRS(strMGRS, datum=_WGS84, Mgrs=Mgrs, name=NN):

540 '''Parse a string representing a MGRS grid reference,

541 consisting of C{"[zone]Band, EN, easting, northing"}.

542

543 @arg strMGRS: MGRS grid reference (C{str}).

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

545 @kwarg Mgrs: Optional class to return the MGRS grid

546 reference (L{Mgrs}) or C{None}.

547 @kwarg name: Optional B{C{Mgrs}} name (C{str}).

548

549 @return: The MGRS grid reference as B{C{Mgrs}} or if

550 C{B{Mgrs} is None} as an L{Mgrs4Tuple}C{(zone,

551 EN, easting, northing)}.

552

553 @raise MGRSError: Invalid B{C{strMGRS}}.

554 '''

555 def _mg(s, re_UTM, re_UPS): # return re.match groups

556 m = re_UTM.match(s)

557 if m:

558 return m.groups()

559 m = re_UPS.match(s.lstrip(_0_))

560 if m:

561 return m.groups()

562# m = m.groups()

563# t = '00' + m[0]

564# return (t,) + m[1:]

565 raise ValueError(_SPACE_(repr(s), _invalid_))

566

567 def _MGRS(strMGRS, datum, Mgrs, name):

568 m = _splituple(strMGRS.strip())

569 if len(m) == 1: # [01]BEN1234512345'

570 m = _mg(m[0], _RE.zB_EN_en, _RE.pB_EN_en)

571 m = m[:2] + halfs2(m[2])

572 elif len(m) == 2: # [01]BEN 1234512345'

573 m = _mg(m[0], _RE.zB_EN, _RE.pB_EN) + halfs2(m[1])

574 elif len(m) == 3: # [01]BEN 12345 12345'

575 m = _mg(m[0], _RE.zB_EN, _RE.pB_EN) + m[1:]

576 if len(m) != 4: # [01]B EN 12345 12345

577 raise ValueError

578

579 zB, EN = m[0].upper(), m[1].upper()

580 if zB[-1:] in 'IO':

581 raise ValueError(_SPACE_(repr(m[0]), _invalid_))

582 e, n, m = _enstr2m3(*m[2:])

583

584 if Mgrs is None:

585 r = Mgrs4Tuple(zB, EN, e, n, name=name)

586 _ = r.toMgrs(resolution=m) # validate

587 else:

588 r = Mgrs(zB, EN, e, n, datum=datum, resolution=m, name=name)

589 return r

590

591 return _parseX(_MGRS, strMGRS, datum, Mgrs, name,

592 strMGRS=strMGRS, Error=MGRSError)

593

594

595 def toMgrs(utmups, Mgrs=Mgrs, name=NN, **Mgrs_kwds):

596 '''Convert a UTM or UPS coordinate to an MGRS grid reference.

597

598 @arg utmups: A UTM or UPS coordinate (L{Utm}, L{Etm} or L{Ups}).

599 @kwarg Mgrs: Optional class to return the MGRS grid reference

600 (L{Mgrs}) or C{None}.

601 @kwarg name: Optional B{C{Mgrs}} name (C{str}).

602 @kwarg Mgrs_kwds: Optional, additional B{C{Mgrs}} keyword

603 arguments, ignored if C{B{Mgrs} is None}.

604

605 @return: The MGRS grid reference as B{C{Mgrs}} or if

606 C{B{Mgrs} is None} as an L{Mgrs6Tuple}C{(zone,

607 EN, easting, northing, band, datum)}.

608

609 @raise MGRSError: Invalid B{C{utmups}}.

610

611 @raise TypeError: If B{C{utmups}} is not L{Utm} nor L{Etm}

612 nor L{Ups}.

613 '''

614# _MODS.utmups.utmupsValidate(utmups, MGRS=True, Error-MGRSError)

615 _xinstanceof(Utm, Ups, utmups=utmups) # Utm, Etm, Ups

616 try:

617 e, n = utmups.eastingnorthing2(falsed=True)

618 E, e = _um100km2(e)

619 N, n = _um100km2(n)

620 B, z = utmups.band, utmups.zone

621 if _UTM_ZONE_MIN <= z <= _UTM_ZONE_MAX:

622 i = z - 1

623 # columns in zone 1 are A-H, zone 2 J-R, zone 3 S-Z,

624 # then repeating every 3rd zone (note E-1 because

625 # eastings start at 166e3 due to 500km false origin)

626 EN = _LeUTM[i % 3][E - 1]

627 # rows in even zones are A-V, in odd zones are F-E

628 EN += _LnUTM[i % 2][N % len(_LnUTM[0])]

629 elif z == _UPS_ZONE:

630 EN = _LeUPS[B][E - _FeUPS[B]]

631 EN += _LnUPS[B][N - _FnUPS[B]]

632 else:

633 raise _ValueError(zone=z)

634 except (IndexError, TypeError, ValueError) as x:

635 raise MGRSError(B=B, E=E, N=N, utmups=utmups, cause=x)

636

637 if Mgrs is None:

638 r = Mgrs4Tuple(Fmt.zone(z), EN, e, n).to6Tuple(B, utmups.datum)

639 else:

640 kwds = _xkwds(Mgrs_kwds, band=B, datum=utmups.datum)

641 r = Mgrs(z, EN, e, n, **kwds)

642 return _xnamed(r, name or utmups.name)

643

644

645 def _um100km2(m):

646 '''(INTERNAL) An MGRS east-/northing truncated to micrometer (um)

647 precision and to grid tile C{M} and C{m}eter within the tile.

648 '''

649 m = int(m / _1um) * _1um # micrometer

650 M, m = divmod(m, _100km)

651 return int(M), m

652

653

654 if __name__ == '__main__':

655

656 from pygeodesy.ellipsoidalVincenty import fabs, LatLon

657# from pygeodesy.internals import printf # from .lazily

658 from pygeodesy.lazily import _getenv, printf

659

660# from math import fabs # from .ellipsoidalVincenty

661 from os import access as _access, linesep as _NL, X_OK as _X_OK

662

663 # <https://GeographicLib.sourceforge.io/C++/doc/GeoConvert.1.html>

664 _GeoConvert = _getenv(_PYGEODESY_GEOCONVERT_, '/opt/local/bin/GeoConvert')

665 if _access(_GeoConvert, _X_OK):

666 GC_m = _GeoConvert, '-m' # -m converts latlon to MGRS

667 printf(' using: %s ...', _SPACE_.join(GC_m))

668 from pygeodesy.solveBase import _popen2

669 else:

670 GC_m = _popen2 = None

671

672 e = n = 0

673 try:

674 for lat in range(-90, 91, 1):

675 printf('%6s: lat %s ...', n, lat, end=NN, flush=True)

676 nl = _NL

677 for lon in range(-180, 181, 1):

678 m = LatLon(lat, lon).toMgrs()

679 if _popen2:

680 t = '%s %s' % (lat, lon)

681 g = _popen2(GC_m, stdin=t)[1]

682 t = m.toStr() # sep=NN

683 if t != g:

684 e += 1

685 printf('%s%6s: %s: %r vs %r (lon %s)', nl, -e, m, t, g, lon)

686 nl = NN

687 t = m.toLatLon(LatLon=LatLon)

688 d = max(fabs(t.lat - lat), fabs(t.lon - lon))

689 if d > 1e-9 and -90 < lat < 90 and -180 < lon < 180:

690 e += 1

691 printf('%s%6s: %s: %s vs %s %.6e', nl, -e, m, t.latlon, (float(lat), float(lon)), d)

692 nl = NN

693 n += 1

694 if nl:

695 printf(' OK')

696 except KeyboardInterrupt:

697 printf(nl)

698

699 p = e * 100.0 / n

700 printf('%6s: %s errors (%.2f%%)', n, (e if e else 'no'), p)

701

702# **) MIT License

703#

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

705#

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

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

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

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

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

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

712#

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

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

715#

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

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

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

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

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

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

722# OTHER DEALINGS IN THE SOFTWARE.