# Coverage for pygeodesy/basics.py : 94%

## 161 statements 152 run 9 missing 30 excluded

Hot-keys on this page

r m x p toggle line displays

j k next/prev highlighted chunk

0 (zero) top of page

1 (one) first highlighted chunk

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 | # -*- coding: utf-8 -*- u'''Basic constants, definitions and functions. ''' from pygeodesy.lazily import _ALL_LAZY from copy import copy as _copy, deepcopy as _deepcopy from inspect import isclass from math import copysign, isinf, isnan from sys import float_info as _float_info # all public contants, classes and functions __all__ = _ALL_LAZY.basics __version__ = '20.04.02' try: # Luciano Ramalho, "Fluent Python", page 395, O'Reilly, 2016 from numbers import Integral as _Ints #: (INTERNAL) Int objects except ImportError: # PYCHOK no cover try: # _Ints imported by .utily _Ints = int, long #: (INTERNAL) Int objects (C{tuple}) except NameError: # Python 3+ _Ints = int, #: (INTERNAL) Int objects (C{tuple}) try: # similarly ... from numbers import Real as _Scalars #: (INTERNAL) Scalar objects except ImportError: # PYCHOK no cover try: _Scalars = int, long, float #: (INTERNAL) Scalar objects (C{tuple}) except NameError: _Scalars = int, float #: (INTERNAL) Scalar objects (C{tuple}) try: try: # use C{from collections.abc import ...} in Python 3.9+ from collections.abc import Sequence as _Sequence # imported by .points except ImportError: # no .abc in Python 2.7- from collections import Sequence as _Sequence # imported by .points if isinstance([], _Sequence) and isinstance((), _Sequence): # and isinstance(range(1), _Sequence): _Seqs = _Sequence else: raise ImportError # AssertionError except ImportError: # PYCHOK no cover _Sequence = tuple # immutable for .points._Basequence _Seqs = list, _Sequence # , range for function len2 below try: _Strs = basestring, str except NameError: # Python 3+ _Strs = str, try: EPS = _float_info.epsilon #: System's epsilon (C{float}) MANTIS = _float_info.mant_dig #: System's mantissa bits (C{int}) MAX = _float_info.max #: System's float max (C{float}) MIN = _float_info.min #: System's float min (C{float}) except AttributeError: # PYCHOK no cover EPS = 2.220446049250313e-16 #: Epsilon (C{float}) 2**-52? MANTIS = 53 #: Mantissa bits ≈53 (C{int}) MAX = pow(2.0, 1023) * (2 - EPS) #: Float max (C{float}) ≈10**308, 2**1024? MIN = pow(2.0, -1021) # Float min (C{float}) ≈10**-308, 2**-1021? EPS_2 = EPS / 2.0 #: M{EPS / 2} ≈1.110223024625e-16 (C{float}) EPS1 = 1.0 - EPS #: M{1 - EPS} ≈0.9999999999999998 (C{float}) EPS1_2 = 1.0 - EPS_2 #: M{1 - EPS_2} ≈0.9999999999999999 (C{float}) # _1EPS = 1.0 + EPS #: M{1 + EPS} ≈1.0000000000000002 (C{float}) INF = float('inf') #: Infinity (C{float}), see function C{isinf}, C{isfinite} NAN = float('nan') #: Not-A-Number (C{float}), see function C{isnan} NEG0 = -0.0 #: Negative 0.0 (C{float}), see function C{isneg0} OK = 'OK' # OK for test like I{if ... is OK: ...} # R_M moved here to avoid circular imports R_M = 6371008.771415 #: Mean, spherical earth radius (C{meter}). _limiterrors = True # imported by .formy _MISSING = object() # singleton, imported by .wgrs class LenError(ValueError): '''Error raised for mis-matching C{len} values. ''' def __init__(self, where, **lens): # Error=ValueError '''New L{LenError}. @arg where: Object with C{.__name__} attribute (C{class}, C{method}, or C{function}). @kwarg lens: Two or more C{name=len(name)} pairs (C{keyword arguments}). ''' ns, vs = zip(*sorted(lens.items())) ns = ', '.join(ns) vs = ' vs '.join(map(str, vs)) t = where.__name__, ns, 'len', vs ValueError.__init__(self, '%s(%s) %s: %s' % t) class LimitError(ValueError): '''Error raised for lat- or longitudinal deltas exceeding the B{C{limit}} in functions L{equirectangular} and L{equirectangular_} and C{nearestOn*} and C{simplify*} functions or methods. ''' pass class _Adict(dict): '''(INTERNAL) Basic C{dict} with key I{and} attribute access to the items. ''' def __getattr__(self, name): try: return self[name] except KeyError: return dict.__getattr__(self, name) def _bkwds(inst, kwds, Error): '''(INTERNAL) Set applicable C{bool} attributes. ''' for k, v in kwds.items(): b = getattr(inst, k, None) if b is None: t = k, v, inst.__class__.__name__ raise Error('not applicable: %s=%r for %s' % t) if v in (False, True) and v != b: setattr(inst, '_' + k, v) def clips(bstr, limit=50, white=''): '''Clip a string to the given length limit. @arg bstr: String (C{bytes} or C{str}). @kwarg limit: Length limit (C{int}). @kwarg white: Whitespace replacement (C{str}). @return: Un-/clipped B{C{bstr}}. ''' if len(bstr) > limit > 8: h = limit // 2 bstr = bstr[:h] + type(bstr)('....') + bstr[-h:] if white: # replace whitespace bstr = type(bstr)(white).join(bstr.split()) return bstr def halfs2(str2): '''Split a string in 2 halfs. @arg str2: String to split (C{str}). @return: 2-Tuple (1st, 2nd) half (C{str}). @raise ValueError: Zero or odd C{len}(B{str2}). ''' h, r = divmod(len(str2), 2) if r or not h: raise ValueError('%s invalid: %r' % ('str2', str2)) return str2[:h], str2[h:] try: from math import isfinite # new in Python 3+ except ImportError: def isfinite(obj): '''Check for C{Inf} and C{NaN} values. @arg obj: Value (C{scalar}). @return: C{False} if B{C{obj}} is C{INF} or C{NAN}, C{True} otherwise. @raise TypeError: Non-scalar B{C{obj}}. ''' if not isscalar(obj): raise _isnotError(isscalar.__name__, obj=obj) return not (isinf(obj) or isnan(obj)) def isint(obj, both=False): '''Check for integer type or an integer C{float}. @arg obj: The object (any C{type}). @kwarg both: Optionally, check both type and value (C{bool}). @return: C{True} if B{C{obj}} is C{int}, C{False} otherwise. ''' if both and isinstance(obj, float): # NOT _Scalars! try: return obj.is_integer() except AttributeError: return False # XXX float(int(obj)) == obj? return isinstance(obj, _Ints) def isneg0(obj): '''Check for L{NEG0}, negative 0.0. @arg obj: Value (C{scalar}). @return: C{True} if B{C{obj}} is C{NEG0} or -0.0, C{False} otherwise. ''' return obj in (0.0, NEG0) and copysign(1, obj) < 0 # and str(obj).rstrip('0') == '-0.' def _isnotError(*names, **pair): # Error=TypeError, name=value '''(INTERNAL) Format a C{TypeError} for a C{name=value} pair. ''' Error = pair.pop('Error', TypeError) for n, v in pair.items(): break else: n, v = 'pair', 'N/A' t = ' or ' .join(names) return Error('%s not %s: %r' % (n, t, v)) def isscalar(obj): '''Check for scalar types. @arg obj: The object (any C{type}). @return: C{True} if B{C{obj}} is C{scalar}, C{False} otherwise. ''' return isinstance(obj, _Scalars) def issequence(obj, *excluded): '''Check for sequence types. @arg obj: The object (any C{type}). @arg excluded: Optional, exclusions (C{type}). @note: Excluding C{tuple} implies excluding C{namedtuple}. @return: C{True} if B{C{obj}} is a sequence, C{False} otherwise. ''' if excluded: return isinstance(obj, _Seqs) and not \ isinstance(obj, excluded) else: return isinstance(obj, _Seqs) def isstr(obj): '''Check for string types. @arg obj: The object (any C{type}). @return: C{True} if B{C{obj}} is C{str}, C{False} otherwise. ''' return isinstance(obj, _Strs) def issubclassof(sub, sup): '''Check whether a class is a subclass of a super class. @arg sub: The subclass (C{class}). @arg sup: The super class (C{class}). @return: C{True} if B{C{sub}} is a subclass of B{C{sup}}. ''' return isclass(sub) and isclass(sup) and issubclass(sub, sup) def len2(items): '''Make built-in function L{len} work for generators, iterators, etc. since those can only be started exactly once. @arg items: Generator, iterator, list, range, tuple, etc. @return: 2-Tuple C{(n, items)} of the number of items (C{int}) and the items (C{list} or C{tuple}). ''' if not isinstance(items, _Seqs): # NOT hasattr(items, '__len__'): items = list(items) return len(items), items def limiterrors(raiser=None): '''Get/set the raising of limit errors. @kwarg raiser: Choose C{True} to throw or C{False} to ignore L{LimitError} exceptions. Use C{None} to leave the setting unchanged. @return: Previous setting (C{bool}). ''' global _limiterrors t = _limiterrors if raiser in (True, False): _limiterrors = raiser return t def map1(func, *xs): # XXX map_ '''Apply each argument to a single-argument function and return a C{tuple} of results. @arg func: Function to apply (C{callable}). @arg xs: Arguments to apply (C{any positional}). @return: Function results (C{tuple}). ''' return tuple(map(func, xs)) def map2(func, *xs): '''Apply arguments to a function and return a C{tuple} of results. Unlike Python 2's built-in L{map}, Python 3+ L{map} returns a L{map} object, an iterator-like object which generates the results only once. Converting the L{map} object to a tuple maintains Python 2 behavior. @arg func: Function to apply (C{callable}). @arg xs: Arguments to apply (C{list, tuple, ...}). @return: Function results (C{tuple}). ''' return tuple(map(func, *xs)) def property_doc_(doc): '''Decorator for a property with documentation. @arg doc: The property documentation (C{str}). @example: >>> @property_doc_("documentation text.") >>> def name(self): >>> ... >>> >>> @name.setter >>> def name(self, value): >>> ... ''' # See Luciano Ramalho, "Fluent Python", page 212ff, O'Reilly, 2016, # "Parameterized Decorators", especially Example 7-23. Also, see # <https://Python-3-Patterns-Idioms-Test.ReadTheDocs.io/en/latest/PythonDecorators.html> def _property(method): '''(INTERNAL) Return C{method} as documented C{property.getter}. ''' t = 'get and set' if doc.startswith(' ') else '' return property(method, None, None, 'Property to ' + t + doc) return _property class property_RO(property): # No __doc__ on purpose def __init__(self, method): # PYCHOK signature '''New immutable, read-only L{property_RO}. @arg method: The callable to be decorated as C{property.getter}. @note: Like standard Python C{property} without a C{property.setter}, but with a more descriptive error message when set. ''' # U{Descriptor HowTo Guide<https://docs.Python.org/3/howto/descriptor.html>} def immutable(inst, value): '''Throws an C{AttributeError}, always. ''' t = immutable.__name__, inst, method.__name__, value raise AttributeError('%s property: %r.%s = %r' % t) property.__init__(self, method, immutable, None, method.__doc__ or 'N/A') # def property_RO(method): # OBSOLETE # '''An immutable property (C{Read Only}). # # @arg method: The callable to be decorated as C{property.getter}. # # @note: Like standard Python C{property} without a C{property.setter}, # but with a more descriptive error message when set. # ''' # def Read_Only(inst, value): # '''Throws an C{AttributeError}, always. # ''' # t = Read_Only.__name__, inst, method.__name__, value # raise AttributeError('%s property: %r.%s = %r' % t) # # return property(method, Read_Only, None, method.__doc__ or 'N/A') def scalar(value, low=EPS, high=1.0, name='scalar', Error=ValueError): '''Validate a scalar. @arg value: The value (C{scalar}). @kwarg low: Optional lower bound (C{scalar}). @kwarg high: Optional upper bound (C{scalar}). @kwarg name: Optional name of value (C{str}). @kwarg Error: Exception to raise (C{ValueError}). @return: New value (C{type} of B{C{low}}). @raise TypeError: Non-scalar B{C{value}}. @raise Error: Out-of-bounds B{C{value}}. ''' if not isscalar(value): raise _isnotError(scalar.__name__, **{name: value}) try: if low is None: v = float(value) else: v = type(low)(value) if low > v or v > high: raise ValueError except (TypeError, ValueError): raise _isnotError('valid', Error=Error, **{name: value}) return v def splice(iterable, n=2, fill=_MISSING): '''Split an iterable into C{n} slices. @arg iterable: Items to be spliced (C{list}, C{tuple}, ...). @kwarg n: Number of slices to generate (C{int}). @kwarg fill: Fill value for missing items. @return: Generator of B{C{n}} slices M{iterable[i::n] for i=0..n}. @note: Each generated slice is a C{tuple} or a C{list}, the latter only if the B{C{iterable}} is a C{list}. @raise ValueError: Non-C{int} or non-positive B{C{n}}. @example: >>> from pygeodesy import splice >>> a, b = splice(range(10)) >>> a, b ((0, 2, 4, 6, 8), (1, 3, 5, 7, 9)) >>> a, b, c = splice(range(10), n=3) >>> a, b, c ((0, 3, 6, 9), (1, 4, 7], [2, 5, 8)) >>> a, b, c = splice(range(10), n=3, fill=-1) >>> a, b, c ((0, 3, 6, 9), (1, 4, 7, -1), (2, 5, 8, -1)) >>> list(splice(range(12), n=5)) [(0, 5, 10), (1, 6, 11), (2, 7), (3, 8), (4, 9)] >>> splice(range(9), n=1) <generator object splice at 0x0...> ''' if not (isinstance(n, _Ints) and n > 0): raise ValueError('%s %s=%s' % ('splice', 'n', n)) t = iterable if not isinstance(t, (list, tuple)): t = tuple(t) # force tuple, also for PyPy3 if n > 1: if fill is not _MISSING: m = len(t) % n if m > 0: # fill with same type t += type(t)((fill,)) * (n - m) for i in range(n): yield t[i::n] # [i:None:n] pychok -Tb ... else: yield t def _TypeError(*Types, **pairs): '''(INTERNAL) Check C{Types} of all C{name=value} pairs. ''' for n, v in pairs.items(): if not isinstance(v, Types): t = ' or '.join(t.__name__ for t in Types) # first letter of Type name I{pronounced} as vowel a = 'an' if t[:1].lower() in 'aeinoux' else 'a' raise TypeError('%s not %s %s: %r' % (n, a, t, v)) def _xcopy(inst, deep=False): '''(INTERNAL) Copy an instance, shallow or deep. @arg inst: The instance to copy (C{_Named}). @kwarg deep: If C{True} make a deep, otherwise shallow copy (C{bool}). @return: The copy (C{This class} or subclass thereof). ''' return _deepcopy(inst) if deep else _copy(inst) def _xkwds(kwds, **dflts): '''(INTERNAL) Override C{dflts} with C{kwds}. ''' d = dflts if kwds: d = d.copy() d.update(kwds) return d # **) MIT License # # Copyright (C) 2016-2020 -- mrJean1 at Gmail -- All Rights Reserved. # # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR # OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, # ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR # OTHER DEALINGS IN THE SOFTWARE.