Coverage for pygeodesy/constants.py: 98%

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

4u'''Single-instance C{float} and C{int} constants across C{pygeodesy} modules and related

5functions L{pygeodesy.float_}, L{pygeodesy.float0_}, L{pygeodesy.isclose}, L{pygeodesy.isfinite},

6L{pygeodesy.isinf}, L{pygeodesy.isint0}, L{pygeodesy.isnan}, L{pygeodesy.isnear0},

7L{pygeodesy.isnear1}, L{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 _ # noqa: E702 ;

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

14from pygeodesy.errors import _xError, _xError2, _xkwds_get1, _xkwds_item2

15# from pygeodesy.fsums import _isFsum_2Tuple # _MODS

16from pygeodesy.internals import _0_0, _100_0, typename

17from pygeodesy.interns import _DMAIN_, _INF_, _NAN_

18from pygeodesy.lazily import _ALL_MODS as _MODS, _ALL_LAZY

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

20from pygeodesy.unitsBase import Float, Int, Radius, Fmt

22from math import fabs, isinf, isnan, pi as _pi, sqrt

23try:

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

25except ImportError: # Python 2-

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

28__all__ = _ALL_LAZY.constants

29__version__ = '25.09.09'

32def _copysign_0_0(y):

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

34 '''

35 return _N_0_0 if signBit(y) else _0_0

38def _copysign_1_0(y):

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

40 '''

41 return _N_1_0 if signBit(y) else _1_0

44def _copysignINF(y):

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

46 '''

47 return NINF if signBit(y) else INF

50def _flipsign(x, y):

51 '''(INTERNAL) Negate C{x} for negative C{y}.

52 '''

53 return (-x) if signBit(y) else x

56def _Float(**name_arg):

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

58 '''

59 n, arg = _xkwds_item2(name_arg)

60 return Float(_float(arg), name=n)

63def _Radius(**name_arg):

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

65 '''

66 n, arg = _xkwds_item2(name_arg)

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

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

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

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}.

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

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

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

81 '''

82 fl = []

83 _a = fl.append

84 _f = _floats.setdefault if _xkwds_get1(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)

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 .auxilats.auxily, .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 = float(f) or _0_0 # force None, NN error

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

128try:

129 from math import log2 as _log2

130except ImportError: # Python 3.3-

131 from math import log as _log

132

133 def _log2(x): # in .rhumb.aux_, .auxilats.auxLat

134 return _log(x, 2)

135

136

137def _naninf(p, *xs):

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

139 '''

140 for x in xs:

141 p *= x # fmath.fprod(xs)

142 return _copysignINF(p) if isfinite(p) else p

143

144

145def _over(p, q):

146 '''(INTERNAL) Return C{B{p} / B{q}} without C{ZeroDivisionError} exceptions.

147 '''

148 try:

149 return (p / q) # if p else _copysign_0_0(q)

150 except ZeroDivisionError:

151 return (_copysignINF(p) if isfinite(p) else NAN) if p else p

152

153

154def _over_1(p, q):

155 '''(INTERNAL) Return C{B{p} / B{q}} with exact C{1.0} and without C{ZeroDivisionError} exceptions.

156 '''

157 if fabs(p) != fabs(q):

158 r = _over(p, q)

159 else:

160 r = _flipsign(p, q)

161 if p:

162 r = _copysign_1_0(r)

163 return r

164

165

166def _1_over(x):

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

168 '''

169 try:

170 return _1_0 / float(x)

171 except ZeroDivisionError:

172 return NINF if isneg0(x) else INF

173

174

175_floats = {} # PYCHOK floats cache, in .__main__

176# _float = float # PYCHOK expected

177# del _floats # XXX zap floats cache never

178

179_0_0 = _float( _0_0) # PYCHOK expected

180_0_0_1T = _0_0, # PYCHOK 1-tuple

181_0_0_9T = _0_0_1T * 9 # PYCHOK 9-tuple

182_0_0001 = _float( 0.0001) # PYCHOK expected

183_0_001 = _float( 0.001) # PYCHOK expected

184_0_01 = _float( 0.01) # PYCHOK expected

185_0_1 = _float( 0.1) # PYCHOK expected

186_0_125 = _float( 0.125) # PYCHOK expected

187_0_25 = _float( 0.25) # PYCHOK expected

188_0_5 = _float( 0.5) # PYCHOK expected

189_1_0 = _float( 1) # PYCHOK expected

190_1_0_1T = _1_0, # PYCHOK 1-tuple

191_1_5 = _float( 1.5) # PYCHOK expected

192_1_75 = _float( 1.75) # PYCHOK expected

193_2_0 = _float( 2) # PYCHOK expected

194_3_0 = _float( 3) # PYCHOK expected

195_4_0 = _float( 4) # PYCHOK expected

196_5_0 = _float( 5) # PYCHOK expected

197_6_0 = _float( 6) # PYCHOK expected

198_8_0 = _float( 8) # PYCHOK expected

199_9_0 = _float( 9) # PYCHOK expected

200_10_0 = _float( 10) # PYCHOK expected

201_16_0 = _float( 16) # PYCHOK expected

202_32_0 = _float( 32) # PYCHOK expected

203_45_0 = _float( 45) # PYCHOK expected

204_60_0 = _float( 60) # PYCHOK expected

205_64_0 = _float( 64) # PYCHOK expected

206_90_0 = _float( 90) # PYCHOK expected

207_100_0 = _float(_100_0) # PYCHOK expected

208_180_0 = _float( 180) # PYCHOK expected

209_270_0 = _float( 270) # PYCHOK expected

210_360_0 = _float( 360) # PYCHOK expected

211_720_0 = _float( 720) # PYCHOK expected

212_1000_0 = _float(1000) # PYCHOK expected

213_3600_0 = _float(3600) # PYCHOK expected

214

215_N_0_0 = float( '-0.0') # PYCHOK NOT _float!

216_N_0_5 = _float( -_0_5) # PYCHOK expected

217_N_1_0 = _float( -_1_0) # PYCHOK expected

218_N_2_0 = _float( -_2_0) # PYCHOK expected

219_N_90_0 = _float( -_90_0) # PYCHOK expected

220_N_180_0 = _float(-_180_0) # PYCHOK expected

221

222_M_KM = _1000_0 # meter per Kilo meter, see .utily

223_M_NM = _float(1852.0) # meter per Nautical Mile, exactly

224_M_SM = _float(1609.344) # meter per Statute Mile

225

226try:

227 from sys import float_info as _f_i

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

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

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

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

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

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

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

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

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

237 del _f_i

238except ImportError: # PYCHOK no cover

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

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

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

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

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

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

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

246# RADIX = Int(Radix =2) # base

247

248EPS0 = _Float( EPS0 = EPS**2) # PYCHOK near-/non-zero comparison 4.930381e-32, or EPS or EPS_2

249EPS02 = _Float( EPS02 = EPS**4) # PYCHOK near-zero-squared comparison 2.430865e-63

250EPS_2 = _Float( EPS_2 = EPS / _2_0) # PYCHOK ≈ 1.110223024625e-16

251EPS1 = _Float( EPS1 =_1_0 - EPS) # PYCHOK ≈ 0.9999999999999998

252EPS2 = _Float( EPS2 = EPS * _2_0) # PYCHOK ≈ 4.440892098501e-16

253EPS4 = _Float( EPS4 = EPS * _4_0) # PYCHOK ≈ 8.881784197001e-16

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

255_1_EPS = _Float(_1_EPS =_1_0 / EPS) # PYCHOK = 4503599627370496.0

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

257_EPS2e4 = _Float(_EPS2e4= EPS2 * 1.e4) # PYCHOK ≈ 4.440892098501e-12

258_EPS4e8 = _Float(_EPS4e8= EPS4 * 1.e8) # PYCHOK ≈ 8.881784197001e-08

259_EPSjam = _Float(_EPSjam= pow(EPS, 0.75)) # PYCHOK = 1.818989403546e-12

260_EPSmin = _Float(_EPSmin= sqrt(MIN)) # PYCHOK = 1.49166814624e-154

261_EPSqrt = _Float(_EPSqrt= sqrt(EPS)) # PYCHOK = 1.49011611938e5-08

262_EPStol = _Float(_EPStol=_EPSqrt * _0_1) # PYCHOK = 1.49011611938e5-09 == sqrt(EPS * _0_01)

263

264_89_999 = _Float(_89_999=_90_0 * EPS1) # just below 90.0

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

266# _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

267_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

268

269_1_16th = _Float(_1_16th=_1_0 / _16_0) # PYCHOK in .ellipsoids, .karney

270_1_3rd = _Float(_1_3rd =_1_0 / _3_0) # PYCHOK in .fmath

271_1_6th = _Float(_1_6th =_1_0 / _6_0) # PYCHOK in .fmath

272

273_K0_UTM = _Float(_K0_UTM = 0.9996) # PYCHOK in .etm, .ktm, .utm, UTM scale at central meridian

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

275# 1.414213562373095_048_801_688_724_209_698_078_569_671_875_376_948_073_176_679_737_99

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

277# 0.707106781186547_524_400_844_362_104_849_039_284_835_937_688_474_036_588_339_868_99

278_SQRT2_2 = _Float(_SQRT2_2=sqrt(_0_5)) # PYCHOK = 0.707106781186547_5 == sqrt(2) / 2

279

280INF = Float(INF =_inf) # PYCHOK INFinity, see function L{isinf}, L{isfinite}, NOT _Float!

281INT0 = Int( INT0= 0) # PYCHOK unique int(0) instance, see .fsums, useZ=False

282NAN = Float(NAN =_nan) # PYCHOK Not-A-Number, see function L{isnan}, NOT _Float!

283NEG0 = Float(NEG0=_N_0_0) # PYCHOK NEGative 0.0, see function L{isneg0}, NOT _Float!

284NINF = Float(NINF=-INF) # PYCHOK Negative INFinity, NOT _Float!

285

286PI = _Float(PI =_pi) # 3.1415_9265_3589_7932_3846_2643_3832_795

287PI2 = _Float(PI2 =_pi * _2_0) # PYCHOK Two PI, M{PI * 2} aka I{Tau}

288PI_2 = _Float(PI_2 =_pi / _2_0) # PYCHOK Half PI, M{PI / 2}

289PI3 = _Float(PI3 =_pi * _3_0) # PYCHOK Three PI, M{PI * 3}

290PI3_2 = _Float(PI3_2=_pi * _1_5) # PYCHOK PI and a half, M{PI * 3 / 2}

291PI_3 = _Float(PI_3 =_pi / _3_0) # PYCHOK One third PI, M{PI / 3}

292PI4 = _Float(PI4 =_pi * _4_0) # PYCHOK Four PI, M{PI * 4}

293PI_4 = _Float(PI_4 =_pi / _4_0) # PYCHOK Quarter PI, M{PI / 4}

294PI_6 = _Float(PI_6 =_pi / _6_0) # PYCHOK One sixth PI, M{PI / 6}

295

296R_MA = _Radius(R_MA=6378137.0) # PYCHOK equatorial earth radius (C{meter}), WGS84, EPSG:3785

297R_MB = _Radius(R_MB=6356752.3) # PYCHOK polar earth radius (C{meter}), WGS84, EPSG:3785

298R_M = _Radius(R_M =6371008.771415) # PYCHOK mean, spherical earth radius (C{meter})

299R_KM = _Radius(R_KM=R_M / _M_KM) # PYCHOK mean, spherical earth radius (C{KM}, Kilo meter)

300R_NM = _Radius(R_NM=R_M / _M_NM) # PYCHOK mean, spherical earth radius (C{NM}, nautical miles)

301R_SM = _Radius(R_SM=R_M / _M_SM) # PYCHOK mean, spherical earth radius (C{SM}, statute miles)

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

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

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

305R_FM = _Radius(R_FM=6371000.0) # PYCHOK former FAI Sphere earth radius (C{meter})

306R_GM = _Radius(R_GM=6371230.0) # PYCHOK avg. radius, distance to geoid surface (C{meter})

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

308R_QM = _Radius(R_QM=6372797.560856) # PYCHOK earth' quadratic mean radius (C{meter})

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

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

311R_VM = _Radius(R_VM=6366707.0194937) # PYCHOK aViation/naVigation earth radius (C{meter})

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

313

314_INF_NAN_NINF = INF, NAN, NINF

315_pos_self = _1_0.__pos__() is _1_0 # PYCHOK in .fsums, .vector3dBase

316

317

318def _0_0s(n):

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

320 '''

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

322

323

324try:

325 from math import isclose as _isclose

326except ImportError: # Python 3.4-

327

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

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

330 '''

331 t, d = abs_tol, fabs(a - b)

332 if d > t:

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

334 t = max(r, t)

335 return d <= t

336

337

338def isclose(a, b, rel_tol=1e-12, abs_tol=EPS0):

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

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

341 '''

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

343

344

345try:

346 from cmath import isfinite as _iscfinite

347except ImportError: # Python 3.1-

348

349 def _iscfinite(x): # PYCHOK not self?

350 '''Mimick Python 3.2+ C{cmath.isfinite}.

351 '''

352 return _isfinite(x.real) and _isfinite(x.imag)

353

354try:

355 from math import isfinite as _isfinite # in .ellipsoids, ...

356except ImportError: # Python 3.1-

357

358 def _isfinite(x): # PYCHOK not self?

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

360 '''

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

362

363

364def isfinite(obj):

365 '''Check a finite C{scalar}, C{complex}, ... value.

366

367 @arg obj: Value (C{scalar}, C{complex}, an L{Fsum} or

368 L{Fsum2Tuple}).

369

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

371 C{NAN}, C{True} otherwise.

372

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

374 '''

375 try:

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

377 except Exception as x:

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

379 return _iscfinite(obj)

380 if _MODS.fsums._isFsum_2Tuple(obj): # OverflowError

381 return obj.is_finite()

382 raise _xError(x, Fmt.PAREN(typename(isfinite), obj))

383

384

385def isint0(obj, both=False):

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

387

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

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

390

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

392 C{float(0)}, C{False} otherwise.

393 '''

394 return (obj is INT0 or obj is int(0) or

395 bool(both and (not obj) and isint(obj, both=True))) and \

396 not isbool(obj)

397

398

399def isnear0(x, eps0=EPS0):

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

401

402 @arg x: Value (C{scalar}).

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

404

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

406 C{False} otherwise.

407

408 @see: Function L{isnon0}.

409 '''

410 return bool(eps0 > x > -eps0)

411

412

413def isnear1(x, eps1=EPS0):

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

415

416 @arg x: Value (C{scalar}).

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

418

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

420

421 @see: Function L{isnear0}.

422 '''

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

424

425

426def isnear90(x, eps90=EPS0):

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

428

429 @arg x: Value (C{scalar}).

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

431

432 @return: C{isnear0(B{x} - 90, eps0=eps90)}.

433

434 @see: Function L{isnear0}.

435 '''

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

437

438

439def isneg(x):

440 '''Check for negative C{x}, including L{NEG0}.

441

442 @arg x: Value (C{scalar}).

443

444 @return: C{True} if C{B{x} < 0 or NEG0},

445 C{False} otherwise.

446 '''

447 return signBit(x)

448

449

450def isneg0(x):

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

452

453 @arg x: Value (C{scalar}).

454

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

456 C{False} otherwise.

457 '''

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

459# and str(x).startswith(_MINUS_)

460

461

462def isninf(x):

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

464

465 @arg x: Value (C{scalar}).

466

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

468 C{False} otherwise.

469 '''

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

471

472

473def isnon0(x, eps0=EPS0):

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

475

476 @arg x: Value (C{scalar}).

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

478

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

480 C{False} otherwise.

481

482 @see: Function L{isnear0}.

483 '''

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

485

486

487def _off90(lat):

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

489 '''

490 return max(min(lat, _89_999), -_89_999)

491

492

493try:

494 from math import remainder

495except ImportError: # Python 3.6-

496 from math import fmod as _fmod

497

498 def remainder(x, y):

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

500 '''

501 if isnan(y):

502 x = NAN

503 elif x and not isnan(x):

504 y = fabs(y)

505 x = _fmod(x, y)

506 h = _0_5 * y

507 if x >= h:

508 x -= y

509 elif x < -h:

510 x += y

511 return x # keep signed 0.0

512

513

514def _umod_360(deg):

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

516 '''

517 return (deg % _360_0) or _0_0

518

519

520def _umod_PI2(rad):

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

522 '''

523 return (rad % PI2) or _0_0

524

525

526if __name__ == _DMAIN_:

527

528 def _main(globalocals):

529 from pygeodesy import itemsorted, printf

530 from pygeodesy.interns import _DALL_, _UNDER_

531

532 t = n = v = []

533 for n, v in itemsorted(globalocals):

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

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

536 if v.name != n:

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

538 if v.name is not n:

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

540 if not n.startswith(_UNDER_):

541 t.append(n)

542 t.append(typename(float_))

543 printf('%s = %r', _DALL_, tuple(t))

544

545 _main(globals()) # or locals()

546

547# **) MIT License

548#

550#

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

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

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

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

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

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

557#

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

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

560#

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

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

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

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

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

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

567# OTHER DEALINGS IN THE SOFTWARE.