# Coverage for pygeodesy/basics.py : 97%

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Use env variable C{PYGEODESY_XPACKAGES} to avoid import of dependencies C{geographiclib}, C{numpy} and/or C{scipy}. Set C{PYGEODESY_XPACKAGES} to a comma-separated list of package names to be excluded from import. ''' # make sure int/int division yields float quotient from __future__ import division division = 1 / 2 # .albers, .azimuthal, etc., .utily if not division: raise ImportError('%s 1/2 == %s' % ('division', division)) del division from pygeodesy.errors import _AssertionError, _AttributeError, _ImportError, \ _TypeError, _TypesError, _ValueError, _xError, \ _xkwds_get from pygeodesy.interns import EPS0, INF, INT0, MISSING, NAN, NEG0, NINF, NN, \ _by_, _DOT_, _ELLIPSIS4_, _enquote, _EQUAL_, \ _in_, _INF_, _invalid_, _N_A_, _name_, _NAN_, \ _NINF_, _SPACE_, _splituple, _UNDER_, _version_, \ _0_0, _0_5, _1_0, _360_0 from pygeodesy.lazily import _ALL_LAZY, _ALL_MODS as _MODS, _FOR_DOCS, \ _getenv, _sys_version_info2 from copy import copy as _copy, deepcopy as _deepcopy from math import copysign as _copysign, isinf, isnan __all__ = _ALL_LAZY.basics __version__ = '22.08.14' _below_ = 'below' _cannot_ = 'cannot' _INF_NAN_NINF = {INF: _INF_, NAN: _NAN_, NINF: _NINF_} _odd_ = 'odd' _required_ = 'required' _PYGEODESY_XPACKAGES_ = 'PYGEODESY_XPACKAGES' _XPACKAGES = _splituple(_getenv(_PYGEODESY_XPACKAGES_, NN)) try: # Luciano Ramalho, "Fluent Python", page 395, O'Reilly, 2016 from numbers import Integral as _Ints, Real as _Scalars except ImportError: try: _Ints = int, long # int objects (C{tuple}) except NameError: # Python 3+ _Ints = int, # int objects (C{tuple}) _Scalars = _Ints + (float,) try: try: # use C{from collections.abc import ...} in Python 3.9+ from collections.abc import Sequence as _Sequence # in .points except ImportError: # no .abc in Python 3.8- and 2.7- from collections import Sequence as _Sequence # in .points if isinstance([], _Sequence) and isinstance((), _Sequence): # and isinstance(range(1), _Sequence): _Seqs = _Sequence else: raise ImportError # _AssertionError except ImportError: _Sequence = tuple # immutable for .points._Basequence _Seqs = list, _Sequence # , range for function len2 below try: _Bytes = unicode, bytearray # PYCHOK expected _Strs = basestring, str # XXX , bytes def _NOP(x): '''NOP, pass thru.''' return x str2ub = ub2str = _NOP # avoids UnicodeDecodeError def _Xstr(exc): # PYCHOK no cover '''I{Invoke only with caught ImportError} B{C{exc}}. C{... "cannot import name _distributor_init" ...} only for C{numpy}, C{scipy} import errors occurring on arm64 Apple Silicon running macOS' Python 2.7.16? ''' t = str(exc) if '_distributor_init' in t: from sys import exc_info from traceback import extract_tb tb = exc_info()[2] # 3-tuple (type, value, traceback) t4 = extract_tb(tb, 1)[0] # 4-tuple (file, line, name, 'import ...') t = _SPACE_(_cannot_, t4[3] or _N_A_) del tb, t4 return t except NameError: # Python 3+ from pygeodesy.interns import _utf_8_ _Bytes = bytes, bytearray _Strs = str, # tuple _Xstr = str def str2ub(sb): '''Convert C{str} to C{unicode bytes}. ''' if isinstance(sb, _Strs): sb = sb.encode(_utf_8_) return sb def ub2str(ub): '''Convert C{unicode bytes} to C{str}. ''' if isinstance(ub, _Bytes): ub = str(ub.decode(_utf_8_)) return ub def clips(sb, limit=50, white=NN): '''Clip a string to the given length limit. @arg sb: String (C{str} or C{bytes}). @kwarg limit: Length limit (C{int}). @kwarg white: Optionally, replace all whitespace (C{str}). @return: The clipped or unclipped B{C{sb}}. ''' T = type(sb) if len(sb) > limit > 8: h = limit // 2 sb = T(_ELLIPSIS4_).join((sb[:h], sb[-h:])) if white: # replace whitespace sb = T(white).join(sb.split()) return sb def copysign0(x, y): '''Like C{math.copysign(x, y)} except C{zero}, I{unsigned}. @return: C{math.copysign(B{x}, B{y})} if B{C{x}} else C{type(B{x})(0)}. ''' return _copysign(x, (y if y else 0)) if x else copytype(0, x) def copytype(x, y): '''Return the value of B{x} as C{type} of C{y}. @return: C{type(B{y})(B{x})}. ''' return type(y)(x if x else _0_0) 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{C{str2}}). ''' h, r = divmod(len(str2), 2) if r or not h: raise _ValueError(str2=str2, txt=_odd_) return str2[:h], str2[h:] def isbool(obj): '''Check whether an object is C{bool}ean. @arg obj: The object (any C{type}). @return: C{True} if B{C{obj}} is C{bool}ean, C{False} otherwise. ''' return isinstance(obj, bool) # and (obj is False # or obj is True) if isbool(1) or isbool(0): # PYCHOK assert raise _AssertionError(isbool=1) if _FOR_DOCS: # XXX avoid epidoc Python 2.7 error from inspect import isclass as _isclass def isclass(obj): '''Return C{True} if B{C{obj}} is a C{class} or C{type}. @see: Python's C{inspect.isclass}. ''' return _isclass(obj) else: from inspect import isclass # PYCHOK re-import try: from math import isclose as _isclose except ImportError: # Python 3.4- def _isclose(a, b, rel_tol=1e-9, abs_tol=0): '''Mimick Python 3.5+ C{math.isclose}. ''' t, d = abs_tol, abs(a - b) if d > t: r = max(abs(a), abs(b)) * rel_tol t = max(r, t) return d <= t def isclose(a, b, rel_tol=1e-12, abs_tol=EPS0): '''Like C{math.isclose}, but with defaults such that C{isclose(0, EPS0)} is C{True} by default. ''' return _isclose(a, b, rel_tol=rel_tol, abs_tol=abs_tol) def iscomplex(obj): '''Check whether an object is C{complex}. @arg obj: The object (any C{type}). @return: C{True} if B{C{obj}} is C{complex}, C{False} otherwise. ''' # hasattr('conjugate'), hasattr('real') and hasattr('imag') return isinstance(obj, complex) # numbers.Complex? try: from math import isfinite as _isfinite # in .ellipsoids, .fsums, .karney except ImportError: # Python 3.1- def _isfinite(x): '''Mimick Python 3.2+ C{math.isfinite}. ''' return not (isinf(x) or isnan(x)) def isfinite(obj): '''Check a finite C{scalar} or C{complex} value. @arg obj: Value (C{scalar} or C{complex}). @return: C{False} if B{C{obj}} is C{INF}, C{NINF} or C{NAN}, C{True} otherwise. @raise TypeError: Non-scalar and non-complex B{C{obj}}. ''' try: return (obj not in _INF_NAN_NINF) and _isfinite(obj) except Exception as x: if iscomplex(obj): # _isfinite(complex) thows TypeError return isfinite(obj.real) and isfinite(obj.imag) P = _MODS.streprs.Fmt.PAREN raise _xError(x, P(isfinite.__name__, obj)) def isfloat(obj): '''Check whether an object is a C{float} or float C{str}. @arg obj: The object (any C{type}). @return: C{True} if B{C{obj}} is a C{float}, C{False} otherwise. ''' try: return isinstance( obj, float) or (isstr(obj) and isinstance(float(obj), float)) except (TypeError, ValueError): return False try: isidentifier = str.isidentifier # Python 3, must be str except AttributeError: # Python 2- def isidentifier(obj): '''Return C{True} if B{C{obj}} is a valid Python identifier. ''' return bool(obj and obj.replace(_UNDER_, NN).isalnum() and not obj[:1].isdigit()) # from math import isinf def isint(obj, both=False): '''Check for C{int} type or an integer C{float} value. @arg obj: The object (any C{type}). @kwarg both: If C{true}, check C{float} and L{Fsum} type and value (C{bool}). @return: C{True} if B{C{obj}} is C{int} or I{integer} C{float} or L{Fsum}, C{False} otherwise. @note: Both C{isint(True)} and C{isint(False)} return C{False} (and no longer C{True}). ''' if isinstance(obj, _Ints) and not isbool(obj): return True elif both: # and isinstance(obj, (float, Fsum)) ... try: # ... NOT , Scalars) to include Fsum! return obj.is_integer() except AttributeError: pass # XXX float(int(obj)) == obj? return False def isint0(obj, both=False): '''Check for L{INT0} or C{int(0)} value. @arg obj: The object (any C{type}). @kwarg both: If C{true}, also check C{float(0)} (C{bool}). @return: C{True} if B{C{obj}} is L{INT0}, C{int(0)} or C{float(0)}, C{False} otherwise. ''' return (obj is INT0 or obj is int(0) or bool(both and (not obj) and isint(obj, both=True))) and not isbool(obj) try: from keyword import iskeyword # Python 2.7+ except ImportError: def iskeyword(unused): '''Not Implemented. Return C{False}, always. ''' return False # from math import isnan def isnear0(x, eps0=EPS0): '''Is B{C{x}} near zero? @arg x: Value (C{scalar}). @kwarg eps0: Near-zero (C{EPS0}). @return: C{True} if C{abs(B{x}) < B{eps0}}, C{False} otherwise. @see: Function L{isnon0}. ''' return eps0 > x > -eps0 def isnear1(x, eps0=EPS0): '''Is B{C{x}} near one? @arg x: Value (C{scalar}). @kwarg eps0: Near-zero (C{EPS0}). @return: C{isnear0(B{x} - 1)}. @see: Function L{isnear0}. ''' return isnear0(x - _1_0, eps0=eps0) def isneg0(x): '''Check for L{NEG0}, negative C{0.0}. @arg x: Value (C{scalar}). @return: C{True} if B{C{x}} is C{NEG0} or C{-0.0}, C{False} otherwise. ''' return x in (_0_0, NEG0) and _copysign(1, x) < 0 # and str(x).startswith(_MINUS_) def isninf(x): '''Check for L{NINF}, negative C{INF}. @arg x: Value (C{scalar}). @return: C{True} if B{C{x}} is C{NINF} or C{-inf}, C{False} otherwise. ''' return x is NINF or ((not isfinite(x)) and x < 0) def isnon0(x, eps0=EPS0): '''Is B{C{x}} non-zero? @arg x: Value (C{scalar}). @kwarg eps0: Near-zero (C{EPS0}). @return: C{True} if C{abs(B{x}) > B{eps0}}, C{False} otherwise. @see: Function L{isnear0}. ''' return eps0 <= x or x <= -eps0 # not isnear0 def isodd(x): '''Is B{C{x}} odd? @arg x: Value (C{scalar}). @return: C{True} if B{C{x}} is odd, C{False} otherwise. ''' return bool(int(x) & 1) 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) and not isbool(obj) def issequence(obj, *excls): '''Check for sequence types. @arg obj: The object (any C{type}). @arg excls: Classes to exclude (C{type}), all positional. @note: Excluding C{tuple} implies excluding C{namedtuple}. @return: C{True} if B{C{obj}} is a sequence, C{False} otherwise. ''' return isinstance(obj, _Seqs) and not (excls and isinstance(obj, excls)) 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, *Supers): '''Check whether a class is a sub-class of some other class(es). @arg Sub: The sub-class (C{class}). @arg Supers: One or more C(super) classes (C{class}). @return: C{True} if B{C{Sub}} is a sub-class of any B{C{Supers}}, C{False} if not (C{bool}) or C{None} if B{C{Sub}} is not a class or if no B{C{Supers}} are given or none of those are a class. ''' if isclass(Sub): t = tuple(S for S in Supers if isclass(S)) if t: return bool(issubclass(Sub, t)) return None def istuplist(obj, minum=0): '''Check for tuple or list types and minumal length. @arg obj: The object (any C{type}). @kwarg minum: Minimal C{len} required C({int}). @return: C{True} if B{C{obj}} is C{tuple} or C{list} with C{len} at least B{C{minum}}, C{False} otherwise. ''' return type(obj) in (tuple, list) and len(obj) >= (minum or 0) 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 map1(fun1, *xs): # XXX map_ '''Apply each argument to a single-argument function and return a C{tuple} of results. @arg fun1: 1-Arg function to apply (C{callable}). @arg xs: Arguments to apply (C{any positional}). @return: Function results (C{tuple}). ''' return tuple(map(fun1, xs)) # note xs, not *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 the 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)) # note *xs, not xs def neg(x): '''Negate C{x} unless C{zero} or C{NEG0}. @return: C{-B{x}} if B{C{x}} else C{0.0}. ''' return -x if x else _0_0 def neg_(*xs): '''Negate all of C{xs} with L{neg}. @return: A C{tuple(neg(x) for x in B{xs})}. ''' return tuple(map(neg, xs)) # like map1 try: from math import remainder except ImportError: # Python 3.6- from math import fmod as _fmod def remainder(x, y): '''Mimick Python 3.7+ C{math.remainder}. ''' if isnan(y): x = NAN elif x and not isnan(x): y = abs(y) x = _fmod(x, y) h = _0_5 * y if x < -h: x += y elif x >= h: x -= y return x # keep signed 0.0 def signBit(x): '''Return C{signbit(B{x})}, like C++. @return: C{True} if C{B{x} < 0} or C{NEG0} (C{bool}). ''' return x < 0 or isneg0(x) def _signOf(x, off): '''(INTERNAL) Return the sign of B{C{x}} versus B{C{off}}. ''' return 1 if x > off else (-1 if x < off else 0) def signOf(x): '''Return sign of C{x} as C{int}. @return: -1, 0 or +1 (C{int}). ''' try: s = x.signOf() # Fsum instance? except AttributeError: s = _signOf(x, 0) return s def splice(iterable, n=2, **fill): '''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: Optional fill value for missing items. @return: A generator for each of B{C{n}} slices, M{iterable[i::n] for i=0..n}. @raise TypeError: Invalid B{C{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}. @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)) >>> tuple(splice(list(range(9)), n=5)) ([0, 5], [1, 6], [2, 7], [3, 8], [4]) >>> splice(range(9), n=1) <generator object splice at 0x0...> ''' if not isint(n): raise _TypeError(n=n) t = iterable if not isinstance(t, (list, tuple)): t = tuple(t) # force tuple, also for PyPy3 if n > 1: if fill: fill = _xkwds_get(fill, fill=MISSING) 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): # XXX t[i::n] chokes PyChecker yield t[slice(i, None, n)] else: yield t def _umod_360(deg): '''(INTERNAL) Non-negative C{deg} modulo 360, basic C{.utily.wrap360}. ''' return (deg % _360_0) or _0_0 def unsigned0(x): '''Return C{0.0} unsigned. @return: C{B{x}} if B{C{x}} else C{0.0}. ''' return x if x else _0_0 def _xcopy(inst, deep=False): '''(INTERNAL) Copy an object, shallow or deep. @arg inst: The object to copy (any C{type}). @kwarg deep: If C{True} make a deep, otherwise a shallow copy (C{bool}). @return: The copy of B{C{inst}}. ''' return _deepcopy(inst) if deep else _copy(inst) def _xdup(inst, **items): '''(INTERNAL) Duplicate an object, replacing some attributes. @arg inst: The object to copy (any C{type}). @kwarg items: Attributes to be changed (C{any}). @return: Shallow duplicate of B{C{inst}} with modified attributes, if any B{C{items}}. @raise AttributeError: Some B{C{items}} invalid. ''' d = _xcopy(inst, deep=False) for n, v in items.items(): if not hasattr(d, n): t = _MODS.named.classname(inst) t = _SPACE_(_DOT_(t, n), _invalid_) raise _AttributeError(txt=t, this=inst, **items) setattr(d, n, v) return d def _xgeographiclib(where, *required): '''(INTERNAL) Import C{geographiclib} and check required version ''' try: _xpackage(_xgeographiclib) import geographiclib except ImportError as x: raise _xImportError(x, where) return _xversion(geographiclib, where, *required) def _xImportError(x, where, **name): '''(INTERNAL) Embellish an C{ImportError}. ''' t = _SPACE_(_required_, _by_, _xwhere(where, **name)) return _ImportError(_Xstr(x), txt=t) def _xinstanceof(*Types, **name_value_pairs): '''(INTERNAL) Check C{Types} of all C{name=value} pairs. @arg Types: One or more classes or types (C{class}), all positional. @kwarg name_value_pairs: One or more C{B{name}=value} pairs with the C{value} to be checked. @raise TypeError: One of the B{C{name_value_pairs}} is not an instance of any of the B{C{Types}}. ''' for n, v in name_value_pairs.items(): if not isinstance(v, Types): raise _TypesError(n, v, *Types) def _xnumpy(where, *required): '''(INTERNAL) Import C{numpy} and check required version ''' try: _xpackage(_xnumpy) import numpy except ImportError as x: raise _xImportError(x, where) return _xversion(numpy, where, *required) def _xpackage(_xpkg): '''(INTERNAL) Check dependency to be excluded. ''' n = _xpkg.__name__[2:] if n in _XPACKAGES: x = _SPACE_(n, _in_, _PYGEODESY_XPACKAGES_) e = _enquote(_getenv(_PYGEODESY_XPACKAGES_, NN)) raise ImportError(_EQUAL_(x, e)) def _xor(x, *xs): '''(INTERNAL) Exclusive-or C{x} and C{xs}. ''' for x_ in xs: x ^= x_ return x def _xscipy(where, *required): '''(INTERNAL) Import C{scipy} and check required version ''' try: _xpackage(_xscipy) import scipy except ImportError as x: raise _xImportError(x, where) return _xversion(scipy, where, *required) def _xsubclassof(*Classes, **name_value_pairs): '''(INTERNAL) Check (super) class of all C{name=value} pairs. @arg Classes: One or more classes or types (C{class}), all positional. @kwarg name_value_pairs: One or more C{B{name}=value} pairs with the C{value} to be checked. @raise TypeError: One of the B{C{name_value_pairs}} is not a (sub-)class of any of the B{C{Classes}}. ''' for n, v in name_value_pairs.items(): if not issubclassof(v, *Classes): raise _TypesError(n, v, *Classes) def _xversion(package, where, *required, **name): # in .karney '''(INTERNAL) Check the C{package} version vs B{C{required}}. ''' n = len(required) if n: t = _xversion_info(package) if t[:n] < required: t = _SPACE_(package.__name__, _version_, _DOT_(*t), _below_, _DOT_(*required), _required_, _by_, _xwhere(where, **name)) raise ImportError(t) return package def _xversion_info(package): # in .karney '''(INTERNAL) Get the C{package.__version_info__} as a 2- or 3-tuple C{(major, minor, revision)} if C{int}s. ''' try: t = package.__version_info__ except AttributeError: t = package.__version__.strip() t = t.replace(_DOT_, _SPACE_).split()[:3] return map2(int, t) def _xwhere(where, **name): '''(INTERNAL) Get the fully qualified name. ''' m = _MODS.named.modulename(where, prefixed=True) n = name.get(_name_, NN) if n: m = _DOT_(m, n) return m if _sys_version_info2 < (3, 10): _zip = zip # PYCHOK exported else: # Python 3.10+ def _zip(*args): return zip(*args, strict=True) # **) MIT License # # Copyright (C) 2016-2022 -- 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.