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

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

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

13

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

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

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

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

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

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

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

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

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

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

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

25

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

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

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

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

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

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

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

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

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

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

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

37

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

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

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

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

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

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

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

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

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

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

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

49

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

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

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

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

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

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

56

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

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

59'''

60

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

62 neg as _neg # in .ups

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

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

65 _ValueError, _xkwds, _xkwds_get

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

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

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

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

70 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS

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

72# from pygeodesy.utily import _Wrap # _MODS

73

74 from math import fabs, modf, radians

75 try:

76 from string import letters as _LETTERS

77 except ImportError: # Python 3+

78 from string import ascii_letters as _LETTERS

79

80__all__ = _ALL_LAZY.dms

81__version__ = '23.08.24'

82

83_beyond_ = 'beyond'

84_DDDMMSS_ = 'DDDMMSS'

85_deg_min_ = 'deg+min'

86_keyword_ = 'keyword'

87_SDIGITS_ = '-0123456789+'

88_sexagecimal_ = 'sexagecimal'

89_SEXAGECIMUL = 1.e4 # sexagecimal C{D.MMSSss} into decimal C{DMMSS.ss}

90

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

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

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

94 _MINUS_, _) for _ in _F_s)

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

96 _PLUS_, _) for _ in _F_s)

97 del _F_s

98

99_F_case = {F_D: F_D, F_DEG: F_D, _degrees_: F_D, # unsigned _F_s

100 F_DM: F_DM, F_MIN: F_DM, _deg_min_: F_DM,

101 F_D60: F_D60, F_RAD: F_RAD, _radians_: F_RAD,

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

103

104_F_prec = {F_D: 6, F_DM: 4, F_DMS: 2, # default precs

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

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

107

108_F_symb = set((F_D, F_DM, F_DMS, _deg_min_)) # == {} pychok -Tb

109

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

111 S_MIN = _MINUTES_ = '′' # PRIME

112 S_SEC = _SECONDS_ = '″' # DOUBLE_PRIME

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

114 S_DMS = True # include DMS symbols

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

116 S_NUL = NN # empty string, kept INTERNAL

117

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

119_S_norm = {S_DEG: _DEGREES_, '˚': _DEGREES_, '^': _DEGREES_, # _d_: _DEGREES_,

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

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

122

123_WINDS = (_N_, 'NbE', 'NNE', 'NEbN', _NE_, 'NEbE', 'ENE', 'EbN',

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

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

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

127

128

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

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

131 '''

132 if s_DMS:

133 M = sep if s_M is None else s_M

134 return s_D, (M or S_NUL), s_S

135 else: # no overriden symbols

136 return _DOT_, sep, S_NUL

137

138

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

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

141 '''

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

143

144

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

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

147 '''

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

149 m, s = divmod(s, _60_0)

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

151 _0wpF( 2, 0, m),

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

153

154

155 def _fstrzs(t, **unused):

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

157 '''

158 return t

159

160

161 def _split3(strDMS, suffix=_NSEW_):

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

163 '''

164 t = strDMS.strip()

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

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

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

168 return s, t, P

169

170

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

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

173 '''

174 try:

175 deg = float(deg)

176 except (TypeError, ValueError) as x:

177 raise _ValueError(deg=deg, form=form, prec=prec, cause=x)

178

179 if form[:1] in _PLUSMINUS_: # signed

180 sign = _MINUS_ if deg < 0 else (

181 _PLUS_ if deg > 0 and form[:1] == _PLUS_ else NN)

182 form = form.lstrip(_PLUSMINUS_)

183 suff = NN # no suffix if signed

184 else: # suffixed

185 sign = NN # no sign if suffixed

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

187 suff = NN(sep, suff)

188 try:

189 F = _F_case[form] # .strip()

190 except KeyError:

191 form = form.lower() # .strip()

192 F = _F_case.get(form, F_DMS)

193

194 if prec is None:

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

196 else:

197 z = int(prec)

198 p = abs(z)

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

200 z = fstrzs if z > 1 else _fstrzs

201 d = fabs(deg)

202

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

204 D, M, S = _DMS3(form, **s_D_M_S)

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

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

207 m, M, sep,

208 z(s), S, suff)

209

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

211 D, M, _ = _DMS3(form, **s_D_M_S)

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

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

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

215

216 elif F is F_D: # 'deg'

217 D, _, _ = _DMS3(form, **s_D_M_S)

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

219

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

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

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

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

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

225

226 elif F is F_RAD:

227 R = _xkwds_get(s_D_M_S, s_R=S_RAD)

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

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

230

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

232 D = _xkwds_get(s_D_M_S, s_D=S_NUL)

233 d = NN(_PERCENTDOTSTAR_, F) % (p, d) # XXX form?

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

235

236 return t # NOT unicode in Python 2-

237

238

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

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

241

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

258 respectively L{S_SEC}.

259

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

261

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

263 '''

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

265

266

267 def _clip(angle, limit, units):

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

269 '''

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

271 if c != angle and rangerrors():

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

273 copysign0(limit, angle), units)

274 raise RangeError(t, txt=None)

275 return c

276

277

278 def clipDegrees(deg, limit):

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

280

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

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

283

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

285

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

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

288 '''

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

290

291

292 def clipRadians(rad, limit):

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

294

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

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

297

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

299

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

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

302 '''

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

304

305

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

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

308

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

325 respectively L{S_SEC}.

326

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

328

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

330 '''

331 b = _umod_360(bearing)

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

333

334

335 def compassPoint(bearing, prec=3):

336 '''Convert bearing to a compass point.

337

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

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

340 1 for cardinal or basic winds,

341 2 for intercardinal or ordinal or principal winds,

342 3 for secondary-intercardinal or half-winds or

343 4 for quarter-winds).

344

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

346

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

348

349 @see: U{Dms.compassPoint

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

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

352

353 @example:

354

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

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

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

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

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

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

361

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

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

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

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

366 '''

367 try: # like .streprs.enstr2

368 m = 2 << prec

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

370 w = 32 // m

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

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

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

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

375 return _WINDS[w]

376

377 raise ValueError

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

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

380

381

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

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

384

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

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

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

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

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

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

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

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

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

394

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

396

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

398 '''

399 try:

400 deg = float(deg)

401 except (TypeError, ValueError) as x:

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

403

404 d, s = fabs(deg), s_D

405 if d < 1:

406 if s_M:

407 d *= _60_0

408 if d < 1 and s_S:

409 d *= _60_0

410 s = s_S

411 else:

412 s = s_M

413 elif s_S:

414 d *= _3600_0

415 s = s_S

416

417 z = int(prec)

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

419 if z > 1:

420 t = fstrzs(t)

421 n = neg if deg < 0 else pos

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

423

424

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

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

427

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

444 respectively L{S_SEC}.

445

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

447

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

449 '''

450 p = _S_ if deg < 0 else _N_

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

452

453

454 def latlonDMS(lls, **m_form_prec_sep_s_D_M_S):

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

456

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

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

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

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

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

462 L{pygeodesy.lonDMS}.

463

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

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

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

467

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

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

470 C{LatLon.toStr}.

471

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

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

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

475 '''

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

477 if isinstance(lls, _MODS.latlonBase.LatLonBase):

478 t = lls.toStr(**kwds)

479 elif issequence(lls):

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

481 if sep: # XXX TO BE REMOVED

482 t = sep.join(t)

483 else:

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

485 return t

486

487

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

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

490

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

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

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

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

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

496 L{pygeodesy.lonDMS}.

497

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

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

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

501

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

503

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

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

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

507 '''

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

509 if not lls:

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

511 elif len(lls) < 2:

512 lls, sep = lls[0], None

513 t = latlonDMS(lls, **kwds)

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

515

516

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

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

519 if sep:

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

521 n = where.__name__

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

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

524 return sep, kwds

525

526

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

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

529

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

546 respectively L{S_SEC}.

547

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

549

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

551 '''

552 p = _W_ if deg < 0 else _E_

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

554

555

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

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

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

559

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

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

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

563 remove all DMS symbols.

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

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

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

567

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

569 '''

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

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

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

573 if s:

574 yield s, S

575

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

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

578 # thru _s2S2 and replacing the DMS symbols in strDMS

579

580 if norm is None: # back to default DMS

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

582 if s != S:

583 strDMS = strDMS.replace(s, S)

584

585 else: # replace or remove all DMS

586 n = norm or NN

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

588 if s != n:

589 strDMS = strDMS.replace(s, n)

590 if n:

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

592

593 return strDMS # NOT unicode in Python 2-

594

595

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

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

598

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

600 C{int}, other).

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

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

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

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

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

606 L{F_D60_} and L{F_D60__}.

607

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

609

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

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

612 B{C{suffix}} compass point.

613

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

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

616

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

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

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

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

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

622

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

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

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

626 1230.0} degrees. However, C{int(345)} is considered C{form} "DDD"

627 345 I{and not "DDMM" 0345}, unless B{C{suffix}} specifies the compass

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

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

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

631 C{B{sexagecimal}=True}.

632

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

634 L{pygeodesy.parse3llh}.

635 '''

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

637 S = suffix.upper()

638 if isstr(strDDDMMSS):

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

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

641 f = t.split(_DOT_)

642 n = len(f[0])

643 f = NN.join(f)

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

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

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

647 and S in _WINDS)):

648 # check [D]DDMMSS form and compass point

649 X = _EW_ if isodd(n) else _NS_

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

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

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

653 elif not sexagecimal: # try other forms

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

655

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

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

658 if n < 6:

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

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

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

662 f = _0_0 # fraction

663

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

665 f, m = float(strDDDMMSS), 0

666 if sexagecimal:

667 f *= _SEXAGECIMUL

668 m = 6

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

670 if f < 0:

671 f = -f

672 s = _MINUS_

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

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

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

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

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

678 # ... match the given compass point

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

680 t = _0_ + t

681 # P = S

682 # elif n > 1:

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

684 n = len(t)

685

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

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

688 else:

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

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

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

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

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

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

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

696

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

698 strDDDMMSS=strDDDMMSS, suffix=suffix, sexagecimal=sexagecimal)

699

700

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

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

703 '''

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

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

706 deg = _neg(deg)

707 return deg

708

709

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

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

712 '''

713 try:

714 d = float(strDMS)

715

716 except (TypeError, ValueError):

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

718 if sep: # remove all DMS symbols

719 t = t.replace(sep, _SPACE_)

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

721 else: # replace all DMS symbols

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

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

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

725

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

727

728

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

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

731

732 This is very flexible on formats, allowing signed decimal

733 degrees, degrees and minutes or degrees minutes and seconds

734 optionally suffixed by a cardinal compass point.

735

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

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

738

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

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

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

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

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

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

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

746

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

748

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

750

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

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

753

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

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

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

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

758 I{and not as 3.75} degrees!

759

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

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

762 '''

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

764

765

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

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

768

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

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

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

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

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

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

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

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

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

778

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

780

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

782

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

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

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

786

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

788

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

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

791 '''

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

793

794

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

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

797 '''

798 if wrap:

799 _W = _MODS.utily._Wrap

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

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

802 else:

803 # if wrap is None:

804 # clipLat = clipLon = 0

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

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

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

808

809

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

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

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

813

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

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

816 another separator.

817

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

819 one ends with the proper compass point.

820

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

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

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

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

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

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

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

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

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

830

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

832 C{degrees} and C{float}.

833

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

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

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

837

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

839

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

841

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

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

844

845 @example:

846

847 >>> parse3llh('000°00′05.31″W, 51° 28′ 40.12″ N')

848 (51.4778°N, 000.0015°W, 0)

849 '''

850

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

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

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

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

855 else:

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

857 if len(ll) != 2:

858 raise ValueError

859

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

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

862 a, b = b, a

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

864

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

866

867

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

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

870

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

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

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

874

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

876

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

878

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

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

881 '''

882 def _Rad(strRad, suffix, clip):

883 try:

884 r = float(strRad)

885

886 except (TypeError, ValueError):

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

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

889

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

891

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

893

894

895 def precision(form, prec=None):

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

897

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

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

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

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

902 default). Trailing zero decimals are stripped

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

904 for negative B{C{prec}}.

905

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

907

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

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

910 '''

911 try:

912 p = _F_prec[form]

913 except KeyError:

914 raise _ValueError(form=form)

915

916 if prec is not None: # set as default

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

918

919 return p

920

921

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

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

924

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

945

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

947

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

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

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

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

952 C{B{S_NUL}=NN}.

953

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

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

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

957

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

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

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

961

962 @see: Function L{pygeodesy.degDMS}

963 '''

964 s = form[:1]

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

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

967 if deg < 0 and neg:

968 t = neg + t

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

970 t = pos + t

971 return t

972

973# **) MIT License

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