1

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

3

4 u'''Parsers and formatters of angles in degrees, minutes and seconds or radians.

5

6 Functions to parse and format bearing, compass, lat- and longitudes in various forms of

7 degrees, minutes and seconds with or without degrees, minute and second symbols plus a

8 compass point suffix, including parsing of C{decimal} and C{sexagecimal} degrees.

9

10 Set env variable C{PYGEODESY_FMT_FORM} to any C{F_...} form to override default C{F_DMS}

11 formatting of lat- and longitudes or to an empty string to restore the default.

12

13 After I{(C) Chris Veness 2011-2015} published under the same MIT Licence**, see

14 U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>} and

15 U{Vector-based geodesy<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>}.

16

17@var F_D: Format degrees as unsigned "deg°" with symbol, plus compass point suffix C{N, S, E} or C{W} (C{str}).

18@var F_DM: Format degrees as unsigned "deg°min′" with symbols, plus suffix (C{str}).

19@var F_DMS: Format degrees as unsigned "deg°min′sec″" with symbols, plus suffix (C{str}).

20@var F_DEG: Format degrees as unsigned "[D]DD" I{without} symbol, plus suffix (C{str}).

21@var F_MIN: Format degrees as unsigned "[D]DDMM" I{without} symbols, plus suffix (C{str}).

22@var F_SEC: Format degrees as unsigned "[D]DDMMSS" I{without} symbols, plus suffix (C{str}).

23@var F_D60: Format degrees as unsigned "[D]DD.MMSS" C{sexagecimal} I{without} symbols, plus suffix (C{str}).

24@var F__E: Format degrees as unsigned "%E" I{without} symbols, plus suffix (C{str}).

25@var F__F: Format degrees as unsigned "%F" I{without} symbols, plus suffix (C{str}).

26@var F__G: Format degrees as unsigned "%G" I{without} symbols, plus suffix (C{str}).

27@var F_RAD: Convert degrees to radians and format as unsigned "RR" with symbol, plus suffix (C{str}).

28

29@var F_D_: Format degrees as signed "-/deg°" with symbol, I{without} suffix (C{str}).

30@var F_DM_: Format degrees as signed "-/deg°min′" with symbols, I{without} suffix (C{str}).

31@var F_DMS_: Format degrees as signed "-/deg°min′sec″" with symbols, I{without} suffix (C{str}).

32@var F_DEG_: Format degrees as signed "-/[D]DD" I{without} symbol, I{without} suffix (C{str}).

33@var F_MIN_: Format degrees as signed "-/[D]DDMM" I{without} symbols, I{without} suffix (C{str}).

34@var F_SEC_: Format degrees as signed "-/[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).

35@var F_D60_: Format degrees as signed "-/[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).

36@var F__E_: Format degrees as signed "-/%E" I{without} symbols, I{without} suffix (C{str}).

37@var F__F_: Format degrees as signed "-/%F" I{without} symbols, I{without} suffix (C{str}).

38@var F__G_: Format degrees as signed "-/%G" I{without} symbols, I{without} suffix (C{str}).

39@var F_RAD_: Convert degrees to radians and format as signed "-/RR" I{without} symbol, I{without} suffix (C{str}).

40

41@var F_D__: Format degrees as signed "-/+deg°" with symbol, I{without} suffix (C{str}).

42@var F_DM__: Format degrees as signed "-/+deg°min′" with symbols, I{without} suffix (C{str}).

43@var F_DMS__: Format degrees as signed "-/+deg°min′sec″" with symbols, I{without} suffix (C{str}).

44@var F_DEG__: Format degrees as signed "-/+[D]DD" I{without} symbol, I{without} suffix (C{str}).

45@var F_MIN__: Format degrees as signed "-/+[D]DDMM" I{without} symbols, without suffix (C{str}).

46@var F_SEC__: Format degrees as signed "-/+[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}).

47@var F_D60__: Format degrees as signed "-/+[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}).

48@var F__E__: Format degrees as signed "-/+%E" I{without} symbols, I{without} suffix (C{str}).

49@var F__F__: Format degrees as signed "-/+%F" I{without} symbols, I{without} suffix (C{str}).

50@var F__G__: Format degrees as signed "-/+%G" I{without} symbols, I{without} suffix (C{str}).

51@var F_RAD__: Convert degrees to radians and format as signed "-/+RR" I{without} symbol, I{without} suffix (C{str}).

52

53@var S_DEG: Degrees symbol, default C{"°"}

54@var S_MIN: Minutes symbol, default C{"′"} aka I{PRIME}

55@var S_SEC: Seconds symbol, default C{"″"} aka I{DOUBLE_PRIME}

56@var S_RAD: Radians symbol, default C{""} aka L{pygeodesy.NN}

57@var S_DMS: If C{True} include, otherwise cancel all DMS symbols, default C{True}.

58@var S_SEP: Separator between C{deg°|min′|sec″|suffix}, default C{""} aka L{pygeodesy.NN}

59

60@note: In Python 2-, L{S_DEG}, L{S_MIN}, L{S_SEC}, L{S_RAD} and L{S_SEP} may be multi-byte,

61 non-ascii characters and if so, I{not} C{unicode}.

62'''

63

64 from pygeodesy.basics import copysign0, isLatLon, isodd, issequence, isstr, map2, \

65 neg as _neg # in .ups

66 from pygeodesy.constants import _umod_360, _0_0, _0_5, _60_0, _360_0, _3600_0

67 from pygeodesy.errors import ParseError, _parseX, RangeError, rangerrors, _TypeError, \

68 _ValueError, _xkwds, _xkwds_get

69 from pygeodesy.interns import NN, _arg_, _COMMA_, _d_, _DASH_, _deg_, _degrees_, _DOT_, \

70 _0_, _e_, _E_, _EW_, _f_, _F_, _g_, _MINUS_, _N_, _NE_, _NS_, \

71 _NSEW_, _NW_, _of_, _PERCENTDOTSTAR_, _PLUS_, _PLUSMINUS_, \

72 _QUOTE1_, _QUOTE2_, _radians_, _S_, _SE_, _SPACE_, _SW_, _W_

73 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS

74 from pygeodesy.streprs import Fmt, fstr, fstrzs, _0wpF

75# from pygeodesy.utily import _Wrap # _MODS

76

77 from math import fabs, modf, radians

78 try:

79 from string import letters as _LETTERS

80 except ImportError: # Python 3+

81 from string import ascii_letters as _LETTERS

82

83__all__ = _ALL_LAZY.dms

84__version__ = '23.12.03'

85

86_beyond_ = 'beyond'

87_DDDMMSS_ = 'DDDMMSS'

88_deg_min_ = 'deg+min'

89_keyword_ = 'keyword'

90_SDIGITS_ = '-0123456789+'

91_sexagecimal_ = 'sexagecimal'

92_SEXAGECIMUL = 1.e4 # sexagecimal C{D.MMSSss} into decimal C{DMMSS.ss}

93

94 F_D, F_DM, F_DMS, F_DEG, F_MIN, F_SEC, F_D60, F__E, F__F, F__G, F_RAD = _F_s = (

95 _d_, 'dm', 'dms', _deg_, 'min', 'sec', 'd60', _e_, _f_, _g_, 'rad')

96 F_D_, F_DM_, F_DMS_, F_DEG_, F_MIN_, F_SEC_, F_D60_, F__E_, F__F_, F__G_, F_RAD_ = (NN(

97 _MINUS_, _) for _ in _F_s)

98 F_D__, F_DM__, F_DMS__, F_DEG__, F_MIN__, F_SEC__, F_D60__, F__E__, F__F__, F__G__, F_RAD__ = (NN(

99 _PLUS_, _) for _ in _F_s)

100 del _F_s

101

102_F_case = {F_D: F_D, F_DEG: F_D, _degrees_: F_D, # unsigned _F_s

103 F_DM: F_DM, F_MIN: F_DM, _deg_min_: F_DM,

104 F_D60: F_D60, F_RAD: F_RAD, _radians_: F_RAD,

105 F__E: F__E, F__F: F__F, F__G: F__G} # default F_DMS

106

107_F_prec = {F_D: 6, F_DM: 4, F_DMS: 2, # default precs

108 F_DEG: 6, F_MIN: 4, F_SEC: 2, F_D60: 0,

109 F__E: 8, F__F: 8, F__G: 8, F_RAD: 5}

110

111_F_symb = set((F_D, F_DM, F_DMS, _deg_min_)) # == {} pychok -Tb

112

113 S_DEG = _DEGREES_ = '°' # ord() = 176

114 S_MIN = _MINUTES_ = '′' # PRIME

115 S_SEC = _SECONDS_ = '″' # DOUBLE_PRIME

116 S_RAD = _RADIANS_ = NN # PYCHOK radians symbol ""

117 S_DMS = True # include DMS symbols

118 S_SEP = NN # separator between deg|min|sec|suffix ""

119 S_NUL = NN # empty string, kept INTERNAL

120

121# note: ord(_DEGREES_) == ord('°') == 176, ord('˚') == 730

122_S_norm = {S_DEG: _DEGREES_, '˚': _DEGREES_, '^': _DEGREES_, # _d_: _DEGREES_,

123 S_MIN: _MINUTES_, '’': _MINUTES_, _QUOTE1_: _MINUTES_, # _r_: _RADIANS_

124 S_SEC: _SECONDS_, '”': _SECONDS_, _QUOTE2_: _SECONDS_}

125

126_WINDS = (_N_, 'NbE', 'NNE', 'NEbN', _NE_, 'NEbE', 'ENE', 'EbN',

127 _E_, 'EbS', 'ESE', 'SEbE', _SE_, 'SEbS', 'SSE', 'SbE',

128 _S_, 'SbW', 'SSW', 'SWbS', _SW_, 'SWbW', 'WSW', 'WbS',

129 _W_, 'WbN', 'WNW', 'NWbW', _NW_, 'NWbN', 'NNW', 'NbW')

130

131

132 def _D603(sep, s_D=_DOT_, s_M=None, s_S=S_NUL, s_DMS=S_DMS, **unused):

133 '''(INTERNAL) Get the overridden or default pseudo-C{DMS} symbols.

134 '''

135 if s_DMS:

136 M = sep if s_M is None else s_M

137 return s_D, (M or S_NUL), s_S

138 else: # no overriden symbols

139 return _DOT_, sep, S_NUL

140

141

142 def _DMS3(form, s_D=S_DEG, s_M=S_MIN, s_S=S_SEC, s_DMS=S_DMS, **unused):

143 '''(INTERNAL) Get the overridden or default C{DMS} symbols.

144 '''

145 return (s_D, s_M, s_S) if s_DMS and form in _F_symb else (S_NUL, S_NUL, S_NUL)

146

147

148 def _dms3(d, ddd, p, w):

149 '''(INTERNAL) Format C{d} as (deg, min, sec) C{str}s with leading zeros.

150 '''

151 d, s = divmod(round(d * _3600_0, p), _3600_0)

152 m, s = divmod(s, _60_0)

153 return (_0wpF(ddd, 0, d),

154 _0wpF( 2, 0, m),

155 _0wpF(w+2, p, s))

156

157

158 def _fstrzs(t, **unused):

159 '''(INTERNAL) Pass-thru version of C{.streprs.fstrzs}.

160 '''

161 return t

162

163

164 def _split3(strDMS, suffix=_NSEW_):

165 '''(INTERNAL) Return sign, stripped B{C{strDMS}} and compass point.

166 '''

167 t = strDMS.strip()

168 s = t[:1] # sign or digit

169 P = t[-1:] # compass point or digit or dot

170 t = t.lstrip(_PLUSMINUS_).rstrip(suffix).strip()

171 return s, t, P

172

173

174 def _toDMS(deg, form, prec, sep, ddd, suff, s_D_M_S): # MCCABE 13 in .units

175 '''(INTERNAL) Convert C{deg} to C{str}, with/-out sign, DMS symbols and/or suffix.

176 '''

177 f = Fmt.form or form

178 try:

179 deg = float(deg)

180 except (TypeError, ValueError) as x:

181 raise _ValueError(deg=deg, form=f, prec=prec, cause=x)

182

183 if f[:1] in _PLUSMINUS_: # signed

184 sign = _MINUS_ if deg < 0 else (

185 _PLUS_ if deg > 0 and f[:1] == _PLUS_ else NN)

186 f = f.lstrip(_PLUSMINUS_)

187 suff = NN # no suffix if signed

188 else: # suffixed

189 sign = NN # no sign if suffixed

190 if suff and sep: # no sep if no suffix

191 suff = NN(sep, suff)

192 try:

193 F = _F_case[f] # .strip()

194 except KeyError:

195 f = f.lower() # .strip()

196 F = _F_case.get(f, F_DMS)

197

198 if prec is None:

199 z = p = _F_prec.get(F, 6)

200 else:

201 z = int(prec)

202 p = abs(z)

203 w = p + (1 if p else 0)

204 z = fstrzs if z > 1 else _fstrzs

205 d = fabs(deg)

206

207 if F is F_DMS: # 'deg+min+sec', default

208 D, M, S = _DMS3(f, **s_D_M_S)

209 d, m, s = _dms3(d, ddd, p, w)

210 t = NN(sign, d, D, sep,

211 m, M, sep,

212 z(s), S, suff)

213

214 elif F is F_DM: # 'deg+min'

215 D, M, _ = _DMS3(f, **s_D_M_S)

216 d, m = divmod(round(d * _60_0, p), _60_0)

217 t = NN(sign, _0wpF(ddd, 0, d), D, sep,

218 z(_0wpF(w+2, p, m)), M, suff)

219

220 elif F is F_D: # 'deg'

221 D, _, _ = _DMS3(f, **s_D_M_S)

222 t = NN(sign, z(_0wpF(w+ddd, p, d)), D, suff)

223

224 elif F is F_D60: # 'deg.MM|SSss|'

225 D, M, S = _D603(sep, **s_D_M_S)

226 d, m, s = _dms3(d, ddd, p, w)

227 t = z(s).split(_DOT_) + [S, suff]

228 t = NN(sign, d, D, m, M, *t)

229

230 elif F is F_RAD:

231 R = _xkwds_get(s_D_M_S, s_R=S_RAD)

232 r = NN(_PERCENTDOTSTAR_, _F_) % (p, radians(d))

233 t = NN(sign, z(r), R, suff)

234

235 else: # F in (F__E, F__F, F__G)

236 D = _xkwds_get(s_D_M_S, s_D=S_NUL)

237 d = NN(_PERCENTDOTSTAR_, F) % (p, d) # XXX f?

238 t = NN(sign, z(d, ap1z=F is F__G), D, suff)

239

240 return t # NOT unicode in Python 2-

241

242

243 def bearingDMS(bearing, form=F_D, prec=None, sep=S_SEP, **s_D_M_S):

244 '''Convert bearing to a string (without compass point suffix).

245

246 @arg bearing: Bearing from North (compass C{degrees360}).

247 @kwarg form: Format specifier for B{C{deg}} (C{str} or L{F_D},

248 L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC},

249 L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD},

250 L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_},

251 L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_},

252 L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__},

253 L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__},

254 L{F__F__}, L{F__G__} or L{F_RAD__}).

255 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

256 Trailing zero decimals are stripped for B{C{prec}}

257 values of 1 and above, but kept for negative B{C{prec}}.

258 @kwarg sep: Separator between degrees, minutes, seconds, suffix (C{str}).

259 @kwarg s_D_M_S: Optional keyword arguments C{B{s_D}=str}, C{B{s_M}=str},

260 C{B{s_S}=str} and C{B{s_DMS}=True} to override any or

261 cancel all DMS symbols, defaults L{S_DEG}, L{S_MIN}

262 respectively L{S_SEC}.

263

264 @return: Compass degrees per the specified B{C{form}} (C{str}).

265

266 @see: Function L{pygeodesy.toDMS}.

267 '''

268 return _toDMS(_umod_360(bearing), form, prec, sep, 1, NN, s_D_M_S)

269

270

271 def _clip(angle, limit, units):

272 '''(INTERNAL) Helper for C{clipDegrees} and C{clipRadians}.

273 '''

274 c = min(limit, max(-limit, angle))

275 if c != angle and rangerrors():

276 t = _SPACE_(fstr(angle, prec=6, ints=True), _beyond_,

277 copysign0(limit, angle), units)

278 raise RangeError(t, txt=None)

279 return c

280

281

282 def clipDegrees(deg, limit):

283 '''Clip a lat- or longitude to the given range.

284

285 @arg deg: Unclipped lat- or longitude (C{scalar degrees}).

286 @arg limit: Valid C{-/+B{limit}} range (C{degrees}).

287

288 @return: Clipped value (C{degrees}).

289

290 @raise RangeError: If B{C{deg}} outside the valid C{-/+B{limit}}

291 range and L{pygeodesy.rangerrors} set to C{True}.

292 '''

293 return _clip(deg, limit, _degrees_) if limit and limit > 0 else deg

294

295

296 def clipRadians(rad, limit):

297 '''Clip a lat- or longitude to the given range.

298

299 @arg rad: Unclipped lat- or longitude (C{radians}).

300 @arg limit: Valid C{-/+B{limit}} range (C{radians}).

301

302 @return: Clipped value (C{radians}).

303

304 @raise RangeError: If B{C{rad}} outside the valid C{-/+B{limit}}

305 range and L{pygeodesy.rangerrors} set to C{True}.

306 '''

307 return _clip(rad, limit, _radians_) if limit and limit > 0 else rad

308

309

310 def compassDMS(bearing, form=F_D, prec=None, sep=S_SEP, **s_D_M_S):

311 '''Convert bearing to a string suffixed with compass point.

312

313 @arg bearing: Bearing from North (compass C{degrees360}).

314 @kwarg form: Format specifier for B{C{deg}} (C{str} or L{F_D},

315 L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC},

316 L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD},

317 L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_},

318 L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_},

319 L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__},

320 L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__},

321 L{F__F__}, L{F__G__} or L{F_RAD__}).

322 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

323 Trailing zero decimals are stripped for B{C{prec}}

324 values of 1 and above, but kept for negative B{C{prec}}.

325 @kwarg sep: Separator between degrees, minutes, seconds, suffix (C{str}).

326 @kwarg s_D_M_S: Optional keyword arguments C{B{s_D}=str}, C{B{s_M}=str}

327 C{B{s_S}=str} and C{B{s_DMS}=True} to override any or

328 cancel all DMS symbols, defaults L{S_DEG}, L{S_MIN}

329 respectively L{S_SEC}.

330

331 @return: Compass degrees and point in the specified form (C{str}).

332

333 @see: Function L{pygeodesy.toDMS}.

334 '''

335 b = _umod_360(bearing)

336 return _toDMS(b, form, prec, sep, 1, compassPoint(b), s_D_M_S)

337

338

339 def compassPoint(bearing, prec=3):

340 '''Convert bearing to a compass point.

341

342 @arg bearing: Bearing from North (compass C{degrees360}).

343 @kwarg prec: Precision, number of compass point characters:

344 1 for cardinal or basic winds,

345 2 for intercardinal or ordinal or principal winds,

346 3 for secondary-intercardinal or half-winds or

347 4 for quarter-winds).

348

349 @return: Compass point (1-, 2-, 3- or 4-letter C{str}).

350

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

352

353 @see: U{Dms.compassPoint

354 <https://GitHub.com/ChrisVeness/geodesy/blob/master/dms.js>}

355 and U{Compass rose<https://WikiPedia.org/wiki/Compass_rose>}.

356

357 @example:

358

359 >>> p = compassPoint(24, 1) # 'N'

360 >>> p = compassPoint(24, 2) # 'NE'

361 >>> p = compassPoint(24, 3) # 'NNE'

362 >>> p = compassPoint(24) # 'NNE'

363 >>> p = compassPoint(11, 4) # 'NbE'

364 >>> p = compassPoint(30, 4) # 'NEbN'

365

366 >>> p = compassPoint(11.249) # 'N'

367 >>> p = compassPoint(11.25) # 'NNE'

368 >>> p = compassPoint(-11.25) # 'N'

369 >>> p = compassPoint(348.749) # 'NNW'

370 '''

371 try: # like .streprs.enstr2

372 m = 2 << prec

373 if m in (4, 8, 16, 32):

374 w = 32 // m

375 # not round(), i.e. half-even rounding in Python 3+,

376 # but round-away-from-zero as int(b + 0.5) iff b is

377 # non-negative, otherwise int(b + copysign0(_0_5, b))

378 w *= int(_umod_360(bearing) * m / _360_0 + _0_5) % m

379 return _WINDS[w]

380

381 raise ValueError

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

383 raise _ValueError(bearing=bearing, prec=prec, cause=x)

384

385

386 def degDMS(deg, prec=6, s_D=S_DEG, s_M=S_MIN, s_S=S_SEC, neg=_MINUS_, pos=NN):

387 '''Convert degrees to a string in degrees, minutes I{or} seconds.

388

389 @arg deg: Value in degrees (C{scalar degrees}).

390 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

391 Trailing zero decimals are stripped for B{C{prec}}

392 values of 1 and above, but kept for negative B{C{prec}}.

393 @kwarg s_D: D symbol for degrees (C{str}).

394 @kwarg s_M: M symbol for minutes (C{str}) or C{""}.

395 @kwarg s_S: S symbol for seconds (C{str}) or C{""}.

396 @kwarg neg: Optional sign for negative (C{'-'}).

397 @kwarg pos: Optional sign for positive (C{''}).

398

399 @return: I{Either} degrees, minutes I{or} seconds (C{str}).

400

401 @see: Function L{pygeodesy.toDMS}.

402 '''

403 try:

404 deg = float(deg)

405 except (TypeError, ValueError) as x:

406 raise _ValueError(deg=deg, prec=prec, cause=x)

407

408 d, s = fabs(deg), s_D

409 if d < 1:

410 if s_M:

411 d *= _60_0

412 if d < 1 and s_S:

413 d *= _60_0

414 s = s_S

415 else:

416 s = s_M

417 elif s_S:

418 d *= _3600_0

419 s = s_S

420

421 z = int(prec)

422 t = Fmt.F(d, prec=abs(z))

423 if z > 1:

424 t = fstrzs(t)

425 n = neg if deg < 0 else pos

426 return NN(n, t, s) # NOT unicode in Python 2-

427

428

429 def latDMS(deg, form=F_DMS, prec=None, sep=S_SEP, **s_D_M_S):

430 '''Convert latitude to a string, optionally suffixed with N or S.

431

432 @arg deg: Latitude to be formatted (C{scalar degrees}).

433 @kwarg form: Format specifier for B{C{deg}} (C{str} or L{F_D},

434 L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC},

435 L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD},

436 L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_},

437 L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_},

438 L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__},

439 L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__},

440 L{F__F__}, L{F__G__} or L{F_RAD__}).

441 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

442 Trailing zero decimals are stripped for B{C{prec}}

443 values of 1 and above, but kept for negative B{C{prec}}.

444 @kwarg sep: Separator between degrees, minutes, seconds, suffix (C{str}).

445 @kwarg s_D_M_S: Optional keyword arguments C{B{s_D}=str}, C{B{s_M}=str}

446 C{B{s_S}=str} and C{B{s_DMS}=True} to override any or

447 cancel all DMS symbols, defaults L{S_DEG}, L{S_MIN}

448 respectively L{S_SEC}.

449

450 @return: Degrees in the specified form (C{str}).

451

452 @see: Functions L{pygeodesy.toDMS} and L{pygeodesy.lonDMS}.

453 '''

454 p = _S_ if deg < 0 else _N_

455 return _toDMS(deg, form, prec, sep, 2, p, s_D_M_S)

456

457

458 def latlonDMS(lls, **m_form_prec_sep_s_D_M_S):

459 '''Convert one or more C{LatLon} instances to strings.

460

461 @arg lls: Single or list, sequence, tuple, etc. (C{LatLon}s).

462 @kwarg m_form_prec_sep_s_D_M_S: Optional C{B{m}eter}, C{B{form}at},

463 C{B{prec}ision}, I{DEPRECATED} B{C{sep}}, B{C{s_D}}, B{C{s_M}},

464 B{C{s_S}} and B{C{s_DMS}} keyword arguments, see method

465 C{LatLon.toStr} and functions L{pygeodesy.latDMS} and

466 L{pygeodesy.lonDMS}.

467

468 @return: A C{tuple} of C{str}s if B{C{lls}} is a list, sequence,

469 tuple, etc. of C{LatLon} instances or a single C{str}

470 if B{C{lls}} is a single C{LatLon}.

471

472 @see: Functions L{pygeodesy.latDMS}, L{pygeodesy.latlonDMS_},

473 L{pygeodesy.lonDMS} and L{pygeodesy.toDMS} and method

474 C{LatLon.toStr}.

475

476 @note: Keyword argument C{B{sep}=None} to return a C{str}ing

477 instead of the C{tuple}, has been I{DEPRECATED}, use

478 C{B{sep}.join(B{latlonDMS_}(...))}.

479 '''

480 sep, kwds = _latlonDMS_sep2(latlonDMS, **m_form_prec_sep_s_D_M_S)

481 if isLatLon(lls):

482 t = lls.toStr(**kwds)

483 elif issequence(lls):

484 t = tuple(ll.toStr(**kwds) for ll in lls)

485 if sep: # XXX TO BE REMOVED

486 t = sep.join(t)

487 else:

488 raise _TypeError(lls=lls, **m_form_prec_sep_s_D_M_S)

489 return t

490

491

492 def latlonDMS_(*lls, **m_form_prec_sep_s_D_M_S):

493 '''Convert one or more C{LatLon} instances to strings.

494

495 @arg lls: The instances, all positional arguments (C{LatLon}s).

496 @kwarg m_form_prec_sep_s_D_M_S: Optional C{B{m}eter}, C{B{form}at},

497 C{B{prec}ision}, I{DEPRECATED} B{C{sep}}, B{C{s_D}}, B{C{s_M}},

498 B{C{s_S}} and B{C{s_DMS}} keyword arguments, see method

499 C{LatLon.toStr} and functions L{pygeodesy.latDMS} and

500 L{pygeodesy.lonDMS}.

501

502 @return: A C{tuple} of C{str}s if 2 or more C{LatLon} instances

503 or a single C{str} if only a single C{LatLon} instance

504 is given in B{C{lls}}.

505

506 @see: Function L{pygeodesy.latlonDMS}.

507

508 @note: Keyword argument C{B{sep}=None} to return a C{str}ing

509 instead of the C{tuple}, has been I{DEPRECATED}, use

510 C{B{sep}.join(B{latlonDMS_}(...))}.

511 '''

512 sep, kwds = _latlonDMS_sep2(latlonDMS, **m_form_prec_sep_s_D_M_S)

513 if not lls:

514 raise _ValueError(lls=lls, **m_form_prec_sep_s_D_M_S)

515 elif len(lls) < 2:

516 lls, sep = lls[0], None

517 t = latlonDMS(lls, **kwds)

518 return sep.join(t) if sep else t

519

520

521 def _latlonDMS_sep2(where, sep=None, **kwds):

522 '''DEPRECATED, instead use: %r.join(%s(...))'''

523 if sep:

524 k = _SPACE_(_keyword_, _arg_, Fmt.EQUAL(sep=repr(sep)), _of_)

525 n = where.__name__

526 t = _latlonDMS_sep2.__doc__ % (sep, n)

527 _MODS.props._throwarning(k, n, t)

528 return sep, kwds

529

530

531 def lonDMS(deg, form=F_DMS, prec=None, sep=S_SEP, **s_D_M_S):

532 '''Convert longitude to a string, optionally suffixed with E or W.

533

534 @arg deg: Longitude to be formatted (C{scalar degrees}).

535 @kwarg form: Format specifier for B{C{deg}} (C{str} or L{F_D},

536 L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC},

537 L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD},

538 L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_},

539 L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_},

540 L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__},

541 L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__},

542 L{F__F__}, L{F__G__} or L{F_RAD__}).

543 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

544 Trailing zero decimals are stripped for B{C{prec}}

545 values of 1 and above, but kept for negative B{C{prec}}.

546 @kwarg sep: Separator between degrees, minutes, seconds, suffix (C{str}).

547 @kwarg s_D_M_S: Optional keyword arguments C{B{s_D}=str}, C{B{s_M}=str}

548 C{B{s_S}=str} and C{B{s_DMS}=True} to override any or

549 cancel all DMS symbols, defaults L{S_DEG}, L{S_MIN}

550 respectively L{S_SEC}.

551

552 @return: Degrees in the specified form (C{str}).

553

554 @see: Functions L{pygeodesy.toDMS} and L{pygeodesy.latDMS}.

555 '''

556 p = _W_ if deg < 0 else _E_

557 return _toDMS(deg, form, prec, sep, 3, p, s_D_M_S)

558

559

560 def normDMS(strDMS, norm=None, **s_D_M_S):

561 '''Normalize all degrees, minutes and seconds (DMS) I{symbols} in

562 a string to the default symbols L{S_DEG}, L{S_MIN}, L{S_SEC}.

563

564 @arg strDMS: Original DMS string (C{str}).

565 @kwarg norm: Optional replacement symbol (C{str}) or C{None} for

566 the default DMS symbols). Use C{B{norm}=""} to

567 remove all DMS symbols.

568 @kwarg s_D_M_S: Optional, alternate DMS symbols C{B{s_D}=str},

569 C{B{s_M}=str}, C{B{s_S}=str} and/or C{B{s_R}=str}

570 for radians, each to be replaced by B{C{norm}}.

571

572 @return: Normalized DMS (C{str}).

573 '''

574 def _s2S2(s_D=S_DEG, s_M=S_MIN, s_S=S_SEC, s_R=S_RAD):

575 d = {s_D: S_DEG, s_M: S_MIN, s_S: S_SEC, s_R: S_RAD}

576 for s, S in _xkwds(d, **_S_norm).items():

577 if s:

578 yield s, S

579

580 # XXX strDMS isn't unicode in Python 2- and looping

581 # thru strDMS will yield each byte, hence the loop

582 # thru _s2S2 and replacing the DMS symbols in strDMS

583

584 if norm is None: # back to default DMS

585 for s, S in _s2S2(**s_D_M_S):

586 if s != S:

587 strDMS = strDMS.replace(s, S)

588

589 else: # replace or remove all DMS

590 n = norm or NN

591 for s, _ in _s2S2(**s_D_M_S):

592 if s != n:

593 strDMS = strDMS.replace(s, n)

594 if n:

595 strDMS = strDMS.rstrip(n) # XXX not .strip?

596

597 return strDMS # NOT unicode in Python 2-

598

599

600 def parseDDDMMSS(strDDDMMSS, suffix=_NSEW_, sep=S_SEP, clip=0, sexagecimal=False): # MCCABE 14

601 '''Parse a lat- or longitude represention forms as [D]DDMMSS in degrees.

602

603 @arg strDDDMMSS: Degrees in any of several forms (C{str}) and types (C{float},

604 C{int}, other).

605 @kwarg suffix: Optional, valid compass points (C{str}, C{tuple}).

606 @kwarg sep: Optional separator between "[D]DD", "MM", "SS", B{C{suffix}} (L{S_SEP}).

607 @kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{degrees}).

608 @kwarg sexagecimal: If C{True}, convert C{"D.MMSS"} or C{float(D.MMSS)} to

609 C{base-60} "MM" and "SS" digits. See C{form}s L{F_D60},

610 L{F_D60_} and L{F_D60__}.

611

612 @return: Degrees (C{float}).

613

614 @raise ParseError: Invalid B{C{strDDDMMSS}} or B{C{clip}} or the form of

615 B{C{strDDDMMSS}} is incompatible with the suffixed or

616 B{C{suffix}} compass point.

617

618 @raise RangeError: Value of B{C{strDDDMMSS}} outside the valid C{-/+B{clip}}

619 range and L{pygeodesy.rangerrors} set to C{True}.

620

621 @note: Type C{str} values "[D]DD", "[D]DDMM", "[D]DDMMSS" and "[D]DD.MMSS"

622 for B{C{strDDDMMSS}} are parsed properly only if I{either} unsigned

623 and suffixed with a valid, compatible, C{cardinal} L{compassPoint}

624 I{or} signed I{or} unsigned, unsuffixed and with keyword argument

625 B{C{suffix}="NS"}, B{C{suffix}="EW"} or a compatible L{compassPoint}.

626

627 @note: Unlike function L{parseDMS}, type C{float}, C{int} and other non-C{str}

628 B{C{strDDDMMSS}} values are interpreted as C{form} [D]DDMMSS or

629 [D]DD.MMSS. For example, C{int(1230)} is returned as 12.5 and I{not

630 1230.0} degrees. However, C{int(345)} is considered C{form} "DDD"

631 345 I{and not "DDMM" 0345}, unless B{C{suffix}} specifies the compass

632 point. Also, C{float(15.0523)} is returned as 15.0523 decimal

633 degrees and I{not 15°5′23″ sexagecimal}. To consider the latter, use

634 C{float(15.0523)} or C{"15.0523"} and specify the keyword argument

635 C{B{sexagecimal}=True}.

636

637 @see: Functions L{pygeodesy.parseDMS}, L{pygeodesy.parseDMS2} and

638 L{pygeodesy.parse3llh}.

639 '''

640 def _DDDMMSS(strDDDMMSS, suffix, sep, clip, sexagecimal):

641 S = suffix.upper()

642 if isstr(strDDDMMSS):

643 t = strDDDMMSS.replace(sep, NN) if sep else strDDDMMSS

644 s, t, P = _split3(t, S)

645 f = t.split(_DOT_)

646 n = len(f[0])

647 f = NN.join(f)

648 if 1 < n < 8 and f.isdigit() and ( # dddN/S/E/W or ddd or +/-ddd

649 (P in S and s.isdigit()) or

650 (P.isdigit() and s in _SDIGITS_ # PYCHOK indent

651 and S in _WINDS)):

652 # check [D]DDMMSS form and compass point

653 X = _EW_ if isodd(n) else _NS_

654 if not (P in X or (S in X and (P.isdigit() or P == _DOT_))):

655 t = _DDDMMSS_[int(X is _NS_):(n | 1)], _DASH_.join(X)

656 raise ParseError('form %s applies %s' % t)

657 elif not sexagecimal: # try other forms

658 return _DMS2deg(strDDDMMSS, S, sep, clip, {})

659

660 if sexagecimal: # move decimal dot from ...

661 n += 4 # ... [D]DD.MMSSs to [D]DDMMSS.s

662 if n < 6:

663 raise ParseError('%s digits (%s)' % (_sexagecimal_, n))

664 z = n - len(f) # zeros to append

665 t = (f + (_0_ * z)) if z > 0 else _DOT_(f[:n], f[n:])

666 f = _0_0 # fraction

667

668 else: # float or int to [D]DDMMSS[.fff]

669 f, m = float(strDDDMMSS), 0

670 if sexagecimal:

671 f *= _SEXAGECIMUL

672 m = 6

673 s = P = _0_ # anything except NN, _S_, _SW_, _W_

674 if f < 0:

675 f = -f

676 s = _MINUS_

677 f, i = modf(f) # returns ...

678 t = str(int(i)) # ... float(i)

679 n = len(t) # number of digits to ...

680 if n < m: # ... required min or ...

681 t = (_0_ * (m - n)) + t

682 # ... match the given compass point

683 elif S in (_NS_ if isodd(n) else _EW_):

684 t = _0_ + t

685 # P = S

686 # elif n > 1:

687 # P = (_EW_ if isodd(n) else _NS_)[0]

688 n = len(t)

689

690 if n < 4: # [D]DD[.ddd]

691 t = (float(t) + f),

692 else:

693 f += float(t[n-2:])

694 if n < 6: # [D]DDMM[.mmm]

695 t = float(t[:n-2]), f

696 else: # [D]DDMMSS[.sss]

697 t = float(t[:n-4]), float(t[n-4: n-2]), f

698 d = _dms2deg(s, P, *t)

699 return clipDegrees(d, float(clip)) if clip else d

700

701 return _parseX(_DDDMMSS, strDDDMMSS, suffix, sep, clip, sexagecimal,

702 strDDDMMSS=strDDDMMSS, suffix=suffix, sexagecimal=sexagecimal)

703

704

705 def _dms2deg(s, P, deg, min=_0_0, sec=_0_0):

706 '''(INTERNAL) Helper for C{parseDDDMMSS} and C{_DMS2deg}.

707 '''

708 deg += (min + (sec / _60_0)) / _60_0

709 if s == _MINUS_ or (P and P in _SW_):

710 deg = _neg(deg)

711 return deg

712

713

714 def _DMS2deg(strDMS, suffix, sep, clip, s_D_M_S):

715 '''(INTERNAL) Helper for C{parseDDDMMSS} and C{parseDMS}.

716 '''

717 try:

718 d = float(strDMS)

719

720 except (TypeError, ValueError):

721 s, t, P = _split3(strDMS, suffix.upper())

722 if sep: # remove all DMS symbols

723 t = t.replace(sep, _SPACE_)

724 t = normDMS(t, norm=NN, **s_D_M_S)

725 else: # replace all DMS symbols

726 t = normDMS(t, norm=_SPACE_, **s_D_M_S)

727 t = map2(float, t.strip().split())

728 d = _dms2deg(s, P, *t[:3])

729

730 return clipDegrees(d, float(clip)) if clip else d

731

732

733 def parseDMS(strDMS, suffix=_NSEW_, sep=S_SEP, clip=0, **s_D_M_S): # MCCABE 14

734 '''Parse a lat- or longitude representation in C{degrees}.

735

736 This is very flexible on formats, allowing signed decimal

737 degrees, degrees and minutes or degrees minutes and seconds

738 optionally suffixed by a cardinal compass point.

739

740 A variety of symbols, separators and suffixes are accepted,

741 for example "3°37′09″W". Minutes and seconds may be omitted.

742

743 @arg strDMS: Degrees in any of several forms (C{str}) and

744 types (C{float}, C{int}, other).

745 @kwarg suffix: Optional, valid compass points (C{str}, C{tuple}).

746 @kwarg sep: Optional separator between deg°, min′, sec″, B{C{suffix}} (C{''}).

747 @kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{degrees}).

748 @kwarg s_D_M_S: Optional, alternate symbol for degrees C{B{s_D}=str},

749 minutes C{B{s_M}=str} and/or seconds C{B{s_S}=str}.

750

751 @return: Degrees (C{float}).

752

753 @raise ParseError: Invalid B{C{strDMS}} or B{C{clip}}.

754

755 @raise RangeError: Value of B{C{strDMS}} outside the valid C{-/+B{clip}}

756 range and L{pygeodesy.rangerrors} set to C{True}.

757

758 @note: Unlike function L{parseDDDMMSS}, type C{float}, C{int} and other

759 non-C{str} B{C{strDMS}} values are considered decimal (and not

760 sexagecimal) degrees. For example, C{int(1230)} is returned

761 as 1230.0 I{and not as 12.5} degrees and C{float(345)} as 345.0

762 I{and not as 3.75} degrees!

763

764 @see: Functions L{pygeodesy.parseDDDMMSS}, L{pygeodesy.parseDMS2},

765 L{pygeodesy.parse3llh} and L{pygeodesy.toDMS}.

766 '''

767 return _parseX(_DMS2deg, strDMS, suffix, sep, clip, s_D_M_S, strDMS=strDMS, suffix=suffix)

768

769

770 def parseDMS2(strLat, strLon, sep=S_SEP, clipLat=90, clipLon=180, wrap=False, **s_D_M_S):

771 '''Parse a lat- and a longitude representions C{"lat, lon"} in C{degrees}.

772

773 @arg strLat: Latitude in any of several forms (C{str} or C{degrees}).

774 @arg strLon: Longitude in any of several forms (C{str} or C{degrees}).

775 @kwarg sep: Optional separator between deg°, min′, sec″, suffix (C{''}).

776 @kwarg clipLat: Limit latitude to range C{-/+B{clipLat}} (C{degrees}).

777 @kwarg clipLon: Limit longitude to range C{-/+B{clipLon}} (C{degrees}).

778 @kwarg wrap: If C{True}, wrap or I{normalize} the lat- and longitude,

779 overriding B{C{clipLat}} and B{C{clipLon}} (C{bool}).

780 @kwarg s_D_M_S: Optional, alternate symbol for degrees C{B{s_D}=str},

781 minutes C{B{s_M}=str} and/or seconds C{B{s_S}=str}.

782

783 @return: A L{LatLon2Tuple}C{(lat, lon)} in C{degrees}.

784

785 @raise ParseError: Invalid B{C{strLat}} or B{C{strLon}}.

786

787 @raise RangeError: Value of B{C{strLat}} or B{C{strLon}} outside the

788 valid C{-/+B{clipLat}} or C{-/+B{clipLon}} range

789 and L{pygeodesy.rangerrors} set to C{True}.

790

791 @note: See the B{Notes} at function L{parseDMS}.

792

793 @see: Functions L{pygeodesy.parseDDDMMSS}, L{pygeodesy.parseDMS},

794 L{pygeodesy.parse3llh} and L{pygeodesy.toDMS}.

795 '''

796 return _2Tuple(strLat, strLon, clipLat, clipLon, wrap, sep=sep, **s_D_M_S)

797

798

799 def _2Tuple(strLat, strLon, clipLat, clipLon, wrap, **kwds):

800 '''(INTERNAL) Helper for C{parseDMS2} and C{parse3llh}.

801 '''

802 if wrap:

803 _W = _MODS.utily._Wrap

804 lat, lon = _W.latlon(parseDMS(strLat, suffix=_NS_, **kwds),

805 parseDMS(strLon, suffix=_EW_, **kwds))

806 else:

807 # if wrap is None:

808 # clipLat = clipLon = 0

809 lat = parseDMS(strLat, suffix=_NS_, clip=clipLat, **kwds)

810 lon = parseDMS(strLon, suffix=_EW_, clip=clipLon, **kwds)

811 return _MODS.namedTuples.LatLon2Tuple(lat, lon)

812

813

814 def parse3llh(strllh, height=0, sep=_COMMA_, clipLat=90, clipLon=180, wrap=False, **s_D_M_S):

815 '''Parse a string C{"lat, lon [, h]"} representing lat-, longitude in

816 C{degrees} and optional height in C{meter}.

817

818 The lat- and longitude value must be separated by a separator

819 character. If height is present it must follow, separated by

820 another separator.

821

822 The lat- and longitude values may be swapped, provided at least

823 one ends with the proper compass point.

824

825 @arg strllh: Latitude, longitude[, height] (C{str}, ...).

826 @kwarg height: Optional, default height (C{meter}) or C{None}.

827 @kwarg sep: Optional separator between C{"lat lon [h] suffix"} (C{str}).

828 @kwarg clipLat: Limit latitude to range C{-/+B{clipLat}} (C{degrees}).

829 @kwarg clipLon: Limit longitude to range C{-/+B{clipLon}} (C{degrees}).

830 @kwarg wrap: If C{True}, wrap or I{normalize} the lat- and longitude,

831 overriding B{C{clipLat}} and B{C{clipLon}} (C{bool}).

832 @kwarg s_D_M_S: Optional, alternate symbol for degrees C{B{s_D}=str},

833 minutes C{B{s_M}=str} and/or seconds C{B{s_S}=str}.

834

835 @return: A L{LatLon3Tuple}C{(lat, lon, height)} in C{degrees},

836 C{degrees} and C{float}.

837

838 @raise RangeError: Lat- or longitude value of B{C{strllh}} outside

839 the valid C{-/+B{clipLat}} or C{-/+B{clipLon}}

840 range and L{pygeodesy.rangerrors} set to C{True}.

841

842 @raise ValueError: Invalid B{C{strllh}} or B{C{height}}.

843

844 @note: See the B{Notes} at function L{parseDMS}.

845

846 @see: Functions L{pygeodesy.parseDDDMMSS}, L{pygeodesy.parseDMS},

847 L{pygeodesy.parseDMS2} and L{pygeodesy.toDMS}.

848 '''

849

850 def _3llh(strllh, height, sep, wrap):

851 ll = strllh.strip().split(sep)

852 if len(ll) > 2: # XXX interpret height unit

853 h = float(ll.pop(2).rstrip(_LETTERS + _SPACE_))

854 else:

855 h = height # None from wgrs.Georef.__new__

856 if len(ll) != 2:

857 raise ValueError

858

859 a, b = [_.strip() for _ in ll] # PYCHOK false

860 if a[-1:] in _EW_ or b[-1:] in _NS_:

861 a, b = b, a

862 return _2Tuple(a, b, clipLat, clipLon, wrap, **s_D_M_S).to3Tuple(h)

863

864 return _parseX(_3llh, strllh, height, sep, wrap, strllh=strllh)

865

866

867 def parseRad(strRad, suffix=_NSEW_, clip=0):

868 '''Parse a string representing angle in C{radians}.

869

870 @arg strRad: Degrees in any of several forms (C{str} or C{radians}).

871 @kwarg suffix: Optional, valid compass points (C{str}, C{tuple}).

872 @kwarg clip: Optionally, limit value to range C{-/+B{clip}} (C{radians}).

873

874 @return: Radians (C{float}).

875

876 @raise ParseError: Invalid B{C{strRad}} or B{C{clip}}.

877

878 @raise RangeError: Value of B{C{strRad}} outside the valid C{-/+B{clip}}

879 range and L{pygeodesy.rangerrors} set to C{True}.

880 '''

881 def _Rad(strRad, suffix, clip):

882 try:

883 r = float(strRad)

884

885 except (TypeError, ValueError):

886 s, t, P = _split3(strRad, suffix.upper())

887 r = _dms2deg(s, P, float(t))

888

889 return clipRadians(r, float(clip)) if clip else r

890

891 return _parseX(_Rad, strRad, suffix, clip, strRad=strRad, suffix=suffix)

892

893

894 def precision(form, prec=None):

895 '''Set the default precison for a given F_ form.

896

897 @arg form: L{F_D}, L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN},

898 L{F_SEC}, L{F_D60}, L{F__E}, L{F__F}, L{F__G}

899 or L{F_RAD} (C{str}).

900 @kwarg prec: Number of decimal digits (0..9 or C{None} for

901 default). Trailing zero decimals are stripped

902 for B{C{prec}} values of 1 and above, but kept

903 for negative B{C{prec}}.

904

905 @return: Previous precision for the B{C{form}} (C{int}).

906

907 @raise ValueError: Invalid B{C{form}} or B{C{prec}} or B{C{prec}}

908 outside the valid range C{-/+9}.

909 '''

910 try:

911 p = _F_prec[form]

912 except KeyError:

913 raise _ValueError(form=form)

914

915 if prec is not None: # set as default

916 _F_prec[form] = _MODS.units.Precision_(prec=prec, low=-9, high=9)

917

918 return p

919

920

921 def toDMS(deg, form=F_DMS, prec=2, sep=S_SEP, ddd=2, neg=_MINUS_, pos=_PLUS_, **s_D_M_S):

922 '''Convert I{signed} C{degrees} to string, without suffix.

923

924 @arg deg: Degrees to be formatted (C{scalar degrees}).

925 @kwarg form: Format specifier for B{C{deg}} (C{str} or L{F_D},

926 L{F_DM}, L{F_DMS}, L{F_DEG}, L{F_MIN}, L{F_SEC},

927 L{F_D60}, L{F__E}, L{F__F}, L{F__G}, L{F_RAD},

928 L{F_D_}, L{F_DM_}, L{F_DMS_}, L{F_DEG_}, L{F_MIN_},

929 L{F_SEC_}, L{F_D60_}, L{F__E_}, L{F__F_}, L{F__G_},

930 L{F_RAD_}, L{F_D__}, L{F_DM__}, L{F_DMS__}, L{F_DEG__},

931 L{F_MIN__}, L{F_SEC__}, L{F_D60__}, L{F__E__},

932 L{F__F__}, L{F__G__} or L{F_RAD__}).

933 @kwarg prec: Number of decimal digits (0..9 or C{None} for default).

934 Trailing zero decimals are stripped for B{C{prec}}

935 values of 1 and above, but kept for negative B{C{prec}}.

936 @kwarg sep: Separator between degrees, minutes, seconds, suffix (C{str}).

937 @kwarg ddd: Number of digits for B{C{deg}°} (2 or 3).

938 @kwarg neg: Prefix for negative B{C{deg}} (C{'-'}).

939 @kwarg pos: Prefix for positive B{C{deg}} and signed B{C{form}} (C{'+'}).

940 @kwarg s_D_M_S: Optional keyword arguments C{B{s_D}=str}, C{B{s_M}=str}

941 C{B{s_S}=str} and C{B{s_DMS}=True} to override any or

942 cancel all DMS symbols, defaults L{S_DEG}, L{S_MIN}

943 respectively L{S_SEC}. See B{Notes} below.

944

945 @return: Degrees in the specified form (C{str}).

946

947 @note: The degrees, minutes and seconds (DMS) symbol can be overridden in

948 this and other C{*DMS} functions by using optional keyword argments

949 C{B{s_D}="d"}, C{B{s_M}="'"} respectively C{B{s_S}='"'}. Using

950 keyword argument B{C{s_DMS}=None} cancels all C{DMS} symbols to

951 C{B{S_NUL}=NN}.

952

953 @note: Sexagecimal format B{C{F_D60}} supports overridable pseudo-DMS symbols

954 positioned at C{"[D]DD<B{s_D}>MM<B{s_M}>SS<B{s_S}>"} with defaults

955 C{B{s_D}="."}, C{B{s_M}=B{sep}} and C{B{s_S}=}L{pygeodesy.NN}.

956

957 @note: Formats B{C{F__E}}, B{C{F__F}} and B{C{F__G}} can be extended with

958 a C{D}-only symbol if defined with keyword argument C{B{s_D}=str}.

959 Likewise for B{C{F_RAD}} formats with keyword argument C{B{s_R}=str}.

960

961 @see: Function L{pygeodesy.degDMS}

962 '''

963 s = form[:1]

964 f = form[1:] if s in _PLUSMINUS_ else form

965 t = _toDMS(deg, f, prec, sep, ddd, NN, s_D_M_S) # unsigned and -suffixed

966 if deg < 0 and neg:

967 t = neg + t

968 elif deg > 0 and s == _PLUS_ and pos:

969 t = pos + t

970 return t

971

972# **) MIT License

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

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

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

982#

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

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