Coverage for pygeodesy/constants.py: 99%

192 statements  

« prev     ^ index     » next       coverage.py v7.2.2, created at 2023-08-23 12:10 -0400

1# -*- coding: utf-8 -*- 

2 

3u'''Single-instance C{float} and C{int} constants across C{pygeodesy} 

4modules and related functions L{pygeodesy.float_}, L{pygeodesy.isclose}, 

5L{pygeodesy.isfinite}, L{pygeodesy.isinf}, L{pygeodesy.isint0}, 

6L{pygeodesy.isnan}, L{pygeodesy.isnear0}, L{pygeodesy.isnear1}, 

7L{pygeodesy.isnear90}, L{pygeodesy.isneg0}, L{pygeodesy.isninf}, 

8L{pygeodesy.isnon0} and L{pygeodesy.remainder}. 

9''' 

10# make sure int/int division yields float quotient, see .basics 

11from __future__ import division as _; del _ # PYCHOK semicolon 

12 

13from pygeodesy.basics import _0_0, _copysign, isbool, iscomplex, isint 

14from pygeodesy.errors import _xError, _xError2, _xkwds_get 

15# from pygeodesy.fmath import fprod # from _MODS 

16from pygeodesy.interns import _INF_, _NAN_, _UNDER_ 

17from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS 

18# from pygeodesy.streprs import Fmt # from .unitsBase 

19from pygeodesy.unitsBase import Float, Int, Radius, Fmt 

20 

21from math import fabs, isinf, isnan, pi as _PI, sqrt 

22try: 

23 from math import inf as _inf, nan as _nan # PYCHOK Python 3+ 

24except ImportError: # Python 2- 

25 _inf, _nan = float(_INF_), float(_NAN_) 

26try: 

27 from math import log2 as _log2 

28except ImportError: # Python 3.3- 

29 from math import log as _log 

30 

31 def _log2(x): # in .rhumbaux, .auxilats.auxLat 

32 return _log(x, 2) 

33 

34__all__ = _ALL_LAZY.constants 

35__version__ = '23.08.14' 

36 

37 

38def _copysign_0_0(y): 

39 '''(INTERNAL) copysign(0.0, y), only C{float}. 

40 ''' 

41 return _N_0_0 if y < 0 else _0_0 

42 

43 

44def _copysign_1_0(y): 

45 '''(INTERNAL) copysign(1.0, y), only C{float}. 

46 ''' 

47 return _N_1_0 if y < 0 else _1_0 

48 

49 

50def _copysignINF(y): 

51 '''(INTERNAL) copysign(INF, y), only C{float}. 

52 ''' 

53 return NINF if y < 0 else INF 

54 

55 

56def _Float(**name_arg): 

57 '''(INTERNAL) New named, cached C{Float}. 

58 ''' 

59 n, arg = name_arg.popitem() 

60 return Float(_float(arg), name=n) 

61 

62 

63def _Radius(**name_arg): 

64 '''(INTERNAL) New named, cached C{Radius}. 

65 ''' 

66 n, arg = name_arg.popitem() 

67 return Radius(_float(arg), name=n) 

68 

69 

70def float_(*fs, **sets): # sets=False 

71 '''Get scalars as C{float} or I{intern}'ed C{float}. 

72 

73 @arg fs: One more values (C{scalar}), all positional. 

74 @kwarg sets: Use C{B{sets}=True} to C{intern} each 

75 B{C{fs}}, otherwise don't C{intern}. 

76 

77 @return: A single C{float} if only one B{C{fs}} is 

78 given, otherwise a tuple of C{float}s. 

79 

80 @raise TypeError: Some B{C{fs}} is not C{scalar}. 

81 ''' 

82 fl = [] 

83 _a = fl.append 

84 _f = _floats.setdefault if _xkwds_get(sets, sets=False) else \ 

85 _floats.get 

86 try: 

87 for i, f in enumerate(fs): 

88 f = float(f) 

89 _a(_f(f, f)) 

90 except Exception as x: 

91 E, t = _xError2(x) 

92 fs_i = Fmt.SQUARE(fs=i) 

93 raise E(fs_i, f, txt=t) 

94 return fl[0] if len(fl) == 1 else tuple(fl) 

95 

96 

97def _float(f): # in .datums, .ellipsoids, ... 

98 '''(INTERNAL) Cache initial C{float}s. 

99 ''' 

100 f = float(f) 

101 return _floats.setdefault(f, f) # PYCHOK del _floats 

102 

103 

104def float0_(*xs): 

105 '''Yield C{B{x}s} as a non-NEG0 C{float}. 

106 ''' 

107 for x in xs: 

108 yield float(x) if x else _0_0 

109 

110 

111def _float0(f): # in .resections, .vector3dBase, ... 

112 '''(INTERNAL) Return C{float(B{f})} or C{INT0}. 

113 ''' 

114 if f: 

115 f = float(f) 

116 f = _floats.get(f, f) 

117 elif f is not INT0: 

118 f = _0_0 

119 return f 

120 

121 

122def _floatuple(*fs): 

123 '''(INTERNAL) Cache a tuple of C{float}s. 

124 ''' 

125 return tuple(map(_float, fs)) 

126 

127 

128def _naninf(*xs): 

129 '''(INTERNAL) Return C{NAN}, C{NINF} or C{INF}. 

130 ''' 

131 return NAN if NAN in xs else _copysignINF(_MODS.fmath.fprod(xs)) 

132 

133 

134def _over(p, q): 

135 '''(INTERNAL) Return C{B{p} / B{q}} avoiding ZeroDivisionError exceptions. 

136 ''' 

137 try: 

138 return p / q 

139 except ZeroDivisionError: 

140 return _naninf(p) 

141 

142 

143def _1_over(x): 

144 '''(INTERNAL) Return reciprocal C{1 / B{x}} avoiding ZeroDivisionError exceptions. 

145 ''' 

146 try: 

147 return _1_0 / float(x) 

148 except ZeroDivisionError: 

149 return INF 

150 

151 

152_floats = {} # PYCHOK floats cache, in .__main__ 

153# _float = float # PYCHOK expected 

154# del _floats # XXX zap floats cache never 

155 

156_0_0 = _float( _0_0) # PYCHOK expected 

157_0_0_1T = _0_0, # PYCHOK 1-tuple 

158_0_0_9T = _0_0_1T * 9 # PYCHOK 9-tuple 

159_0_0001 = _float( 0.0001) # PYCHOK expected 

160_0_001 = _float( 0.001) # PYCHOK expected 

161_0_01 = _float( 0.01) # PYCHOK expected 

162_0_1 = _float( 0.1) # PYCHOK expected 

163_0_125 = _float( 0.125) # PYCHOK expected 

164_0_25 = _float( 0.25) # PYCHOK expected 

165_0_26 = _float( 0.26) # PYCHOK expected 

166_0_5 = _float( 0.5) # PYCHOK expected 

167_1_0 = _float( 1) # PYCHOK expected 

168_1_0_1T = _1_0, # PYCHOK 1-tuple 

169_1_5 = _float( 1.5) # PYCHOK expected 

170_1_75 = _float( 1.75) # PYCHOK expected 

171_2_0 = _float( 2) # PYCHOK expected 

172_3_0 = _float( 3) # PYCHOK expected 

173_4_0 = _float( 4) # PYCHOK expected 

174_5_0 = _float( 5) # PYCHOK expected 

175_6_0 = _float( 6) # PYCHOK expected 

176_8_0 = _float( 8) # PYCHOK expected 

177_9_0 = _float( 9) # PYCHOK expected 

178_10_0 = _float( 10) # PYCHOK expected 

179_16_0 = _float( 16) # PYCHOK expected 

180_32_0 = _float( 32) # PYCHOK expected 

181_60_0 = _float( 60) # PYCHOK expected 

182_90_0 = _float( 90) # PYCHOK expected 

183_100_0 = _float( 100) # PYCHOK expected 

184_180_0 = _float( 180) # PYCHOK expected 

185_270_0 = _float( 270) # PYCHOK expected 

186_360_0 = _float( 360) # PYCHOK expected 

187_400_0 = _float( 400) # PYCHOK expected 

188_720_0 = _float( 720) # PYCHOK expected 

189_1000_0 = _float(1000) # PYCHOK expected 

190_3600_0 = _float(3600) # PYCHOK expected 

191 

192_N_0_0 = float( '-0.0') # PYCHOK NOT _float! 

193_N_0_5 = _float( -_0_5) # PYCHOK expected 

194_N_1_0 = _float( -_1_0) # PYCHOK expected 

195_N_2_0 = _float( -_2_0) # PYCHOK expected 

196_N_90_0 = _float( -_90_0) # PYCHOK expected 

197_N_180_0 = _float(-_180_0) # PYCHOK expected 

198 

199_M_KM = _1000_0 # meter per Kilo meter, see .utily 

200_M_NM = _float(1852.0) # meter per Nautical Mile 

201_M_SM = _float(1609.344) # meter per Statute Mile 

202 

203try: 

204 from sys import float_info as _f_i 

205 # @see: <https://NumPy.org/doc/stable/reference/generated/numpy.finfo.html> 

206 DIG = Int( DIG =_f_i.dig) # PYCHOK system's float decimal digits 

207 EPS = _Float(EPS =_f_i.epsilon) # PYCHOK system's EPSilon 

208 MANT_DIG = Int( MANT_DIG=_f_i.mant_dig) # PYCHOK system's float mantissa bits 

209 MAX = _Float(MAX =_f_i.max) # PYCHOK system's MAX float 1.7976931348623157e+308 

210 MAX_EXP = Int( MAX_EXP =_f_i.max_exp) # PYTHON system's max base 2 exponent 

211 MIN = _Float(MIN =_f_i.min) # PYCHOK system's MIN float 2.2250738585072014e-308 

212 MIN_EXP = Int( MIN_EXP =_f_i.min_exp) # PYTHON system's min base 2 exponent 

213# RADIX = Int( RADIX =_f_i.radix) # PYTHON system's float base 

214 del _f_i 

215except ImportError: # PYCHOK no cover 

216 DIG = Int( DIG =15) # PYCHOK system's 64-bit float decimal digits 

217 EPS = _Float(EPS =2.220446049250313e-16) # PYCHOK EPSilon 2**-52, M{EPS +/- 1 != 1} 

218 MANT_DIG = Int( MANT_DIG=53) # PYCHOK float mantissa bits ≈ 53 (C{int}) 

219 MAX = _Float(MAX =pow(_2_0, 1023) * (_2_0 - EPS)) # PYCHOK ≈ 10**308 

220 MAX_EXP = Int( MAX_ESP =_log2(MAX)) # 308 base 10 

221 MIN = _Float(MIN =pow(_2_0, -1021)) # PYCHOK ≈ 10**-308 

222 MIN_EXP = Int(MIN_EXP =_log2(MIN)) # -307 base 10 

223# RADIX = Int(Radix =2) # base 

224 

225EPS0 = _Float( EPS0 = EPS**2) # PYCHOK near-/non-zero comparison 4.930381e-32, or EPS or EPS_2 

226EPS02 = _Float( EPS02 = EPS**4) # PYCHOK near-zero-squared comparison 2.430865e-63 

227EPS_2 = _Float( EPS_2 = EPS / _2_0) # PYCHOK ≈ 1.110223024625e-16 

228EPS1 = _Float( EPS1 =_1_0 - EPS) # PYCHOK ≈ 0.9999999999999998 

229EPS2 = _Float( EPS2 = EPS * _2_0) # PYCHOK ≈ 4.440892098501e-16 

230EPS4 = _Float( EPS4 = EPS * _4_0) # PYCHOK ≈ 8.881784197001e-16 

231# _1EPS = _Float(_1EPS =_1_0 + EPS) # PYCHOK ≈ 1.0000000000000002 

232_1_EPS = _Float(_1_EPS =_1_0 / EPS) # PYCHOK = 4503599627370496.0 

233# _2_EPS = _Float(_2_EPS =_2_0 / EPS) # PYCHOK = 9007199254740992.0 

234_EPS2e4 = _Float(_EPS2e4 = EPS2 * 1.e4) # PYCHOK ≈ 4.440892098501e-12 

235_EPS4e8 = _Float(_EPS4e8 = EPS4 * 1.e8) # PYCHOK ≈ 8.881784197001e-08 

236_EPSmin = _Float(_EPSmin = sqrt(MIN)) # PYCHOK = 1.49166814624e-154 

237_EPSqrt = _Float(_EPSqrt = sqrt(EPS)) # PYCHOK = 1.49011611938e5-08 

238_EPStol = _Float(_EPStol =_EPSqrt * _0_1) # PYCHOK = 1.49011611938e5-09 == sqrt(EPS * _0_01) 

239 

240_89_999_ = _Float(_89_999_= EPS1 * _90_0) # just below 90.0 

241# <https://Numbers.Computation.Free.FR/Constants/Miscellaneous/digits.html> 

242_1__90 = _Float(_1__90 =_1_0 / _90_0) # PYCHOK = 0.011_111_111_111_111_111_111_111_111_111_111_111_111_111_111_11111 

243_2__PI = _Float(_2__PI =_2_0 / _PI) # PYCHOK = 0.636_619_772_367_581_343_075_535_053_490_057_448_137_838_582_96182 

244 

245_1_16th = _Float(_1_16th =_1_0 / _16_0) # PYCHOK in .ellipsoids, .karney 

246_1_64th = _Float(_1_64th =_1_0 / 64) # PYCHOK in .elliptic, pow(2.0, -6) 

247_1_3rd = _Float(_1_3rd =_1_0 / _3_0) # PYCHOK in .fmath 

248_2_3rd = _Float(_2_3rd =_2_0 / _3_0) # PYCHOK in .fmath 

249 

250_K0_UTM = _Float(_K0_UTM = 0.9996) # PYCHOK in .etm, .ktm, .utm, UTM scale at central meridian 

251# sqrt(2) <https://WikiPedia.org/wiki/Square_root_of_2> 

252# 1.414213562373095_048_801_688_724_209_698_078_569_671_875_376_948_073_176_679_737_99 

253# _1SQRT2= _Float(_1SQRT2 =sqrt(_2_0) + 1) 

254_SQRT2_2 = _Float(_SQRT2_2=sqrt(_0_5)) # PYCHOK = 0.707106781186547_6 == sqrt(2) / 2 

255 

256INF = Float(INF =_inf) # PYCHOK INFinity, see function L{isinf}, L{isfinite}, NOT _Float! 

257INT0 = Int( INT0= 0) # PYCHOK unique int(0) instance, see .fsums, useZ=False 

258NAN = Float(NAN =_nan) # PYCHOK Not-A-Number, see function L{isnan}, NOT _Float! 

259NEG0 = Float(NEG0=_N_0_0) # PYCHOK NEGative 0.0, see function L{isneg0}, NOT _Float! 

260NINF = Float(NINF=-INF) # PYCHOK Negative INFinity, NOT _Float! 

261 

262PI = _Float(PI =_PI) 

263PI2 = _Float(PI2 =_PI * _2_0) # PYCHOK Two PI, M{PI * 2} aka I{Tau} 

264PI_2 = _Float(PI_2 =_PI / _2_0) # PYCHOK Half PI, M{PI / 2} 

265PI3 = _Float(PI3 =_PI * _3_0) # PYCHOK Three PI, M{PI * 3} 

266PI3_2 = _Float(PI3_2=_PI * _1_5) # PYCHOK PI and a half, M{PI * 3 / 2} 

267PI_3 = _Float(PI_3 =_PI / _3_0) # PYCHOK One third PI, M{PI / 3} 

268PI4 = _Float(PI4 =_PI * _4_0) # PYCHOK Four PI, M{PI * 4} 

269PI_4 = _Float(PI_4 =_PI / _4_0) # PYCHOK Quarter PI, M{PI / 4} 

270 

271R_MA = _Radius(R_MA=6378137.0) # PYCHOK equatorial earth radius (C{meter}), WGS84, EPSG:3785 

272R_MB = _Radius(R_MB=6356752.3) # PYCHOK polar earth radius (C{meter}), WGS84, EPSG:3785 

273R_M = _Radius(R_M =6371008.771415) # PYCHOK mean, spherical earth radius (C{meter}) 

274R_KM = _Radius(R_KM=R_M / _M_KM) # PYCHOK mean, spherical earth radius (C{KM}, Kilo meter) 

275R_NM = _Radius(R_NM=R_M / _M_NM) # PYCHOK mean, spherical earth radius (C{NM}, nautical miles) 

276R_SM = _Radius(R_SM=R_M / _M_SM) # PYCHOK mean, spherical earth radius (C{SM}, statute miles) 

277# See <https://www.EdWilliams.org/avform.htm>, <https://www.DTIC.mil/dtic/tr/fulltext/u2/a216843.pdf> 

278# and <https://GitHub.com/NASA/MultiDop/blob/master/src/share/man/man3/geog_lib.3> based on the 

279# International Standard Nautical Mile of 1,852 meter (1' latitude) 

280R_FM = _Radius(R_FM=6371000.0) # PYCHOK former FAI Sphere earth radius (C{meter}) 

281R_GM = _Radius(R_GM=6371230.0) # PYCHOK avg. radius, distance to geoid surface (C{meter}) 

282# <http://Wiki.GIS.com/wiki/index.php/Ellipsoidal_quadratic_mean_radius> 

283R_QM = _Radius(R_QM=6372797.560856) # PYCHOK earth' quadratic mean radius (C{meter}) 

284# Rtri= _Radius(Rtri=6372797.5559594) # PYCHOK Rtriaxial quadratic mean radius (C{meter}), WGS84 

285# Rbi = _Radius(Rbi =6367453.6345163) # PYCHOK Rbiaxial quadratic mean radius (C{meter}), WGS84 

286R_VM = _Radius(R_VM=6366707.0194937) # PYCHOK aViation/naVigation earth radius (C{meter}) 

287# R_AU= Meter( R_AU=149597870700.0) # PYCHOK <https://WikiPedia.org/wiki/Astronomical_unit> 

288 

289_INF_NAN_NINF = INF, NAN, NINF 

290_pos_self = _1_0.__pos__() is _1_0 # PYCHOK in .fsums, .vector3dBase 

291 

292 

293def _0_0s(n): 

294 '''(INTERNAL) Return an C{B{n}-tuple} of C{_0_0} zeros. 

295 ''' 

296 return _0_0_9T[:n] if 0 <= n <= len(_0_0_9T) else (_0_0_1T * n) 

297 

298 

299try: 

300 from math import isclose as _isclose 

301except ImportError: # Python 3.4- 

302 

303 def _isclose(a, b, rel_tol=1e-9, abs_tol=0): 

304 '''Mimick Python 3.5+ C{math.isclose}. 

305 ''' 

306 t, d = abs_tol, fabs(a - b) 

307 if d > t: 

308 r = max(fabs(a), fabs(b)) * rel_tol 

309 t = max(r, t) 

310 return d <= t 

311 

312 

313def isclose(a, b, rel_tol=1e-12, abs_tol=EPS0): 

314 '''Like C{math.isclose}, but with defaults such 

315 that C{isclose(0, EPS0)} is C{True} by default. 

316 ''' 

317 return _isclose(a, b, rel_tol=rel_tol, abs_tol=abs_tol) 

318 

319 

320try: 

321 from math import isfinite as _isfinite # in .ellipsoids, .fsums, .karney 

322except ImportError: # Python 3.1- 

323 

324 def _isfinite(x): 

325 '''Mimick Python 3.2+ C{math.isfinite}. 

326 ''' 

327 return not (isinf(x) or isnan(x)) 

328 

329 

330def isfinite(obj): 

331 '''Check a finite C{scalar} or C{complex} value. 

332 

333 @arg obj: Value (C{scalar} or C{complex}). 

334 

335 @return: C{False} if B{C{obj}} is C{INF}, C{NINF} 

336 or C{NAN}, C{True} otherwise. 

337 

338 @raise TypeError: Non-scalar and non-complex B{C{obj}}. 

339 ''' 

340 try: 

341 return (obj not in _INF_NAN_NINF) and _isfinite(obj) 

342 except Exception as x: 

343 if iscomplex(obj): # _isfinite(complex) thows TypeError 

344 return isfinite(obj.real) and isfinite(obj.imag) 

345 raise _xError(x, Fmt.PAREN(isfinite.__name__, obj)) 

346 

347 

348def isint0(obj, both=False): 

349 '''Check for L{INT0} or C{int(0)} value. 

350 

351 @arg obj: The object (any C{type}). 

352 @kwarg both: If C{true}, also check C{float(0)} (C{bool}). 

353 

354 @return: C{True} if B{C{obj}} is L{INT0}, C{int(0)} or 

355 C{float(0)}, C{False} otherwise. 

356 ''' 

357 return (obj is INT0 or obj is int(0) or bool(both and 

358 (not obj) and isint(obj, both=True))) and not isbool(obj) 

359 

360 

361def isnear0(x, eps0=EPS0): 

362 '''Is B{C{x}} near I{zero} within a tolerance? 

363 

364 @arg x: Value (C{scalar}). 

365 @kwarg eps0: Near-I{zero} tolerance (C{EPS0}). 

366 

367 @return: C{True} if C{abs(B{x}) < B{eps0}}, 

368 C{False} otherwise. 

369 

370 @see: Function L{isnon0}. 

371 ''' 

372 return bool(eps0 > x > -eps0) 

373 

374 

375def isnear1(x, eps1=EPS0): 

376 '''Is B{C{x}} near I{one} within a tolerance? 

377 

378 @arg x: Value (C{scalar}). 

379 @kwarg eps1: Near-I{one} tolerance (C{EPS0}). 

380 

381 @return: C{isnear0(B{x} - 1, eps0=B{eps1})}. 

382 

383 @see: Function L{isnear0}. 

384 ''' 

385 return bool(eps1 > (x - _1_0) > -eps1) 

386 

387 

388def isnear90(x, eps90=EPS0): 

389 '''Is B{C{x}} near I{90} within a tolerance? 

390 

391 @arg x: Value (C{scalar}). 

392 @kwarg eps90: Near-I{90} tolerance (C{EPS0}). 

393 

394 @return: C{isnear0(B{x} - 90)}. 

395 

396 @see: Function L{isnear0}. 

397 ''' 

398 return bool(eps90 > (x - _90_0) > -eps90) 

399 

400 

401def isneg0(x): 

402 '''Check for L{NEG0}, negative C{0.0}. 

403 

404 @arg x: Value (C{scalar}). 

405 

406 @return: C{True} if B{C{x}} is C{NEG0} or C{-0.0}, 

407 C{False} otherwise. 

408 ''' 

409 return (not x) and _copysign(1, x) < 0 

410# and str(x).startswith(_MINUS_) 

411 

412 

413def isninf(x): 

414 '''Check for L{NINF}, negative C{INF}. 

415 

416 @arg x: Value (C{scalar}). 

417 

418 @return: C{True} if B{C{x}} is C{NINF} or C{-inf}, 

419 C{False} otherwise. 

420 ''' 

421 return x is NINF or (x < 0 and not isfinite(x)) 

422 

423 

424def isnon0(x, eps0=EPS0): 

425 '''Is B{C{x}} non-zero with a tolerance? 

426 

427 @arg x: Value (C{scalar}). 

428 @kwarg eps0: Non-zero tolerance (C{EPS0}). 

429 

430 @return: C{True} if C{abs(B{x}) > B{eps0}}, 

431 C{False} otherwise. 

432 

433 @see: Function L{isnear0}. 

434 ''' 

435 return not bool(eps0 > x > -eps0) # not isnear0 

436 

437 

438def _off90(lat): 

439 '''(INTERNAL) Off 90.0 for .gars and .wgrs. 

440 ''' 

441 return max(min(lat, _89_999_), -_89_999_) 

442 

443 

444try: 

445 from math import remainder 

446except ImportError: # Python 3.6- 

447 from math import fmod as _fmod 

448 

449 def remainder(x, y): 

450 '''Mimick Python 3.7+ C{math.remainder}. 

451 ''' 

452 if isnan(y): 

453 x = NAN 

454 elif x and not isnan(x): 

455 y = fabs(y) 

456 x = _fmod(x, y) 

457 h = _0_5 * y 

458 if x >= h: 

459 x -= y 

460 elif x < -h: 

461 x += y 

462 return x # keep signed 0.0 

463 

464 

465def _umod_360(deg): 

466 '''(INTERNAL) Non-negative C{deg} modulo 360, basic C{.utily.wrap360}. 

467 ''' 

468 return (deg % _360_0) or _0_0 

469 

470 

471def _umod_PI2(rad): 

472 '''(INTERNAL) Non-negative C{rad} modulo PI2, basic C{.utily.wrapPI2}. 

473 ''' 

474 return (rad % PI2) or _0_0 

475 

476 

477if __name__ == '__main__': 

478 

479 from pygeodesy.errors import itemsorted 

480 from pygeodesy.lazily import printf 

481 

482 t = n = v = [] 

483 for n, v in itemsorted(locals()): 

484 if isinstance(v, (Float, Int, Radius)): 

485 printf('%9s: %r', n, v.toRepr(std=False)) 

486 if v.name != n: 

487 raise AssertionError('%r != %r' % (n, v)) 

488 if v.name is not n: 

489 raise AssertionError('%r is not %r' % (n, v)) 

490 if not n.startswith(_UNDER_): 

491 t.append(n) 

492 t.append(float_.__name__) 

493 printf('__all__ = %r', tuple(t)) 

494 

495# **) MIT License 

496# 

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

498# 

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

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

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

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

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

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

505# 

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

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

508# 

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

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

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

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

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

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

515# OTHER DEALINGS IN THE SOFTWARE.