1"""functools.py - Tools for working with functions and callable objects
2"""
3# Python module wrapper for _functools C module
4# to allow utilities written in Python to be added
5# to the functools module.
6# Written by Nick Coghlan <ncoghlan at gmail.com>,
7# Raymond Hettinger <python at rcn.com>,
8# and Łukasz Langa <lukasz at langa.pl>.
9#   Copyright (C) 2006-2013 Python Software Foundation.
10# See C source code for _functools credits/copyright
11
12__all__ = ['update_wrapper', 'wraps', 'WRAPPER_ASSIGNMENTS', 'WRAPPER_UPDATES',
13           'total_ordering', 'cmp_to_key', 'lru_cache', 'reduce', 'partial',
14           'partialmethod', 'singledispatch', 'singledispatchmethod',
15           "cached_property"]
16
17from abc import get_cache_token
18from collections import namedtuple
19# import types, weakref  # Deferred to single_dispatch()
20from reprlib import recursive_repr
21from _thread import RLock
22
23
24################################################################################
25### update_wrapper() and wraps() decorator
26################################################################################
27
28# update_wrapper() and wraps() are tools to help write
29# wrapper functions that can handle naive introspection
30
31WRAPPER_ASSIGNMENTS = ('__module__', '__name__', '__qualname__', '__doc__',
32                       '__annotations__')
33WRAPPER_UPDATES = ('__dict__',)
34def update_wrapper(wrapper,
35                   wrapped,
36                   assigned = WRAPPER_ASSIGNMENTS,
37                   updated = WRAPPER_UPDATES):
38    """Update a wrapper function to look like the wrapped function
39
40       wrapper is the function to be updated
41       wrapped is the original function
42       assigned is a tuple naming the attributes assigned directly
43       from the wrapped function to the wrapper function (defaults to
44       functools.WRAPPER_ASSIGNMENTS)
45       updated is a tuple naming the attributes of the wrapper that
46       are updated with the corresponding attribute from the wrapped
47       function (defaults to functools.WRAPPER_UPDATES)
48    """
49    for attr in assigned:
50        try:
51            value = getattr(wrapped, attr)
52        except AttributeError:
53            pass
54        else:
55            setattr(wrapper, attr, value)
56    for attr in updated:
57        getattr(wrapper, attr).update(getattr(wrapped, attr, {}))
58    # Issue #17482: set __wrapped__ last so we don't inadvertently copy it
59    # from the wrapped function when updating __dict__
60    wrapper.__wrapped__ = wrapped
61    # Return the wrapper so this can be used as a decorator via partial()
62    return wrapper
63
64def wraps(wrapped,
65          assigned = WRAPPER_ASSIGNMENTS,
66          updated = WRAPPER_UPDATES):
67    """Decorator factory to apply update_wrapper() to a wrapper function
68
69       Returns a decorator that invokes update_wrapper() with the decorated
70       function as the wrapper argument and the arguments to wraps() as the
71       remaining arguments. Default arguments are as for update_wrapper().
72       This is a convenience function to simplify applying partial() to
73       update_wrapper().
74    """
75    return partial(update_wrapper, wrapped=wrapped,
76                   assigned=assigned, updated=updated)
77
78
79################################################################################
80### total_ordering class decorator
81################################################################################
82
83# The total ordering functions all invoke the root magic method directly
84# rather than using the corresponding operator.  This avoids possible
85# infinite recursion that could occur when the operator dispatch logic
86# detects a NotImplemented result and then calls a reflected method.
87
88def _gt_from_lt(self, other, NotImplemented=NotImplemented):
89    'Return a > b.  Computed by @total_ordering from (not a < b) and (a != b).'
90    op_result = self.__lt__(other)
91    if op_result is NotImplemented:
92        return op_result
93    return not op_result and self != other
94
95def _le_from_lt(self, other, NotImplemented=NotImplemented):
96    'Return a <= b.  Computed by @total_ordering from (a < b) or (a == b).'
97    op_result = self.__lt__(other)
98    return op_result or self == other
99
100def _ge_from_lt(self, other, NotImplemented=NotImplemented):
101    'Return a >= b.  Computed by @total_ordering from (not a < b).'
102    op_result = self.__lt__(other)
103    if op_result is NotImplemented:
104        return op_result
105    return not op_result
106
107def _ge_from_le(self, other, NotImplemented=NotImplemented):
108    'Return a >= b.  Computed by @total_ordering from (not a <= b) or (a == b).'
109    op_result = self.__le__(other)
110    if op_result is NotImplemented:
111        return op_result
112    return not op_result or self == other
113
114def _lt_from_le(self, other, NotImplemented=NotImplemented):
115    'Return a < b.  Computed by @total_ordering from (a <= b) and (a != b).'
116    op_result = self.__le__(other)
117    if op_result is NotImplemented:
118        return op_result
119    return op_result and self != other
120
121def _gt_from_le(self, other, NotImplemented=NotImplemented):
122    'Return a > b.  Computed by @total_ordering from (not a <= b).'
123    op_result = self.__le__(other)
124    if op_result is NotImplemented:
125        return op_result
126    return not op_result
127
128def _lt_from_gt(self, other, NotImplemented=NotImplemented):
129    'Return a < b.  Computed by @total_ordering from (not a > b) and (a != b).'
130    op_result = self.__gt__(other)
131    if op_result is NotImplemented:
132        return op_result
133    return not op_result and self != other
134
135def _ge_from_gt(self, other, NotImplemented=NotImplemented):
136    'Return a >= b.  Computed by @total_ordering from (a > b) or (a == b).'
137    op_result = self.__gt__(other)
138    return op_result or self == other
139
140def _le_from_gt(self, other, NotImplemented=NotImplemented):
141    'Return a <= b.  Computed by @total_ordering from (not a > b).'
142    op_result = self.__gt__(other)
143    if op_result is NotImplemented:
144        return op_result
145    return not op_result
146
147def _le_from_ge(self, other, NotImplemented=NotImplemented):
148    'Return a <= b.  Computed by @total_ordering from (not a >= b) or (a == b).'
149    op_result = self.__ge__(other)
150    if op_result is NotImplemented:
151        return op_result
152    return not op_result or self == other
153
154def _gt_from_ge(self, other, NotImplemented=NotImplemented):
155    'Return a > b.  Computed by @total_ordering from (a >= b) and (a != b).'
156    op_result = self.__ge__(other)
157    if op_result is NotImplemented:
158        return op_result
159    return op_result and self != other
160
161def _lt_from_ge(self, other, NotImplemented=NotImplemented):
162    'Return a < b.  Computed by @total_ordering from (not a >= b).'
163    op_result = self.__ge__(other)
164    if op_result is NotImplemented:
165        return op_result
166    return not op_result
167
168_convert = {
169    '__lt__': [('__gt__', _gt_from_lt),
170               ('__le__', _le_from_lt),
171               ('__ge__', _ge_from_lt)],
172    '__le__': [('__ge__', _ge_from_le),
173               ('__lt__', _lt_from_le),
174               ('__gt__', _gt_from_le)],
175    '__gt__': [('__lt__', _lt_from_gt),
176               ('__ge__', _ge_from_gt),
177               ('__le__', _le_from_gt)],
178    '__ge__': [('__le__', _le_from_ge),
179               ('__gt__', _gt_from_ge),
180               ('__lt__', _lt_from_ge)]
181}
182
183def total_ordering(cls):
184    """Class decorator that fills in missing ordering methods"""
185    # Find user-defined comparisons (not those inherited from object).
186    roots = {op for op in _convert if getattr(cls, op, None) is not getattr(object, op, None)}
187    if not roots:
188        raise ValueError('must define at least one ordering operation: < > <= >=')
189    root = max(roots)       # prefer __lt__ to __le__ to __gt__ to __ge__
190    for opname, opfunc in _convert[root]:
191        if opname not in roots:
192            opfunc.__name__ = opname
193            setattr(cls, opname, opfunc)
194    return cls
195
196
197################################################################################
198### cmp_to_key() function converter
199################################################################################
200
201def cmp_to_key(mycmp):
202    """Convert a cmp= function into a key= function"""
203    class K(object):
204        __slots__ = ['obj']
205        def __init__(self, obj):
206            self.obj = obj
207        def __lt__(self, other):
208            return mycmp(self.obj, other.obj) < 0
209        def __gt__(self, other):
210            return mycmp(self.obj, other.obj) > 0
211        def __eq__(self, other):
212            return mycmp(self.obj, other.obj) == 0
213        def __le__(self, other):
214            return mycmp(self.obj, other.obj) <= 0
215        def __ge__(self, other):
216            return mycmp(self.obj, other.obj) >= 0
217        __hash__ = None
218    return K
219
220try:
221    from _functools import cmp_to_key
222except ImportError:
223    pass
224
225
226################################################################################
227### reduce() sequence to a single item
228################################################################################
229
230_initial_missing = object()
231
232def reduce(function, sequence, initial=_initial_missing):
233    """
234    reduce(function, sequence[, initial]) -> value
235
236    Apply a function of two arguments cumulatively to the items of a sequence,
237    from left to right, so as to reduce the sequence to a single value.
238    For example, reduce(lambda x, y: x+y, [1, 2, 3, 4, 5]) calculates
239    ((((1+2)+3)+4)+5).  If initial is present, it is placed before the items
240    of the sequence in the calculation, and serves as a default when the
241    sequence is empty.
242    """
243
244    it = iter(sequence)
245
246    if initial is _initial_missing:
247        try:
248            value = next(it)
249        except StopIteration:
250            raise TypeError("reduce() of empty sequence with no initial value") from None
251    else:
252        value = initial
253
254    for element in it:
255        value = function(value, element)
256
257    return value
258
259try:
260    from _functools import reduce
261except ImportError:
262    pass
263
264
265################################################################################
266### partial() argument application
267################################################################################
268
269# Purely functional, no descriptor behaviour
270class partial:
271    """New function with partial application of the given arguments
272    and keywords.
273    """
274
275    __slots__ = "func", "args", "keywords", "__dict__", "__weakref__"
276
277    def __new__(cls, func, /, *args, **keywords):
278        if not callable(func):
279            raise TypeError("the first argument must be callable")
280
281        if hasattr(func, "func"):
282            args = func.args + args
283            keywords = {**func.keywords, **keywords}
284            func = func.func
285
286        self = super(partial, cls).__new__(cls)
287
288        self.func = func
289        self.args = args
290        self.keywords = keywords
291        return self
292
293    def __call__(self, /, *args, **keywords):
294        keywords = {**self.keywords, **keywords}
295        return self.func(*self.args, *args, **keywords)
296
297    @recursive_repr()
298    def __repr__(self):
299        qualname = type(self).__qualname__
300        args = [repr(self.func)]
301        args.extend(repr(x) for x in self.args)
302        args.extend(f"{k}={v!r}" for (k, v) in self.keywords.items())
303        if type(self).__module__ == "functools":
304            return f"functools.{qualname}({', '.join(args)})"
305        return f"{qualname}({', '.join(args)})"
306
307    def __reduce__(self):
308        return type(self), (self.func,), (self.func, self.args,
309               self.keywords or None, self.__dict__ or None)
310
311    def __setstate__(self, state):
312        if not isinstance(state, tuple):
313            raise TypeError("argument to __setstate__ must be a tuple")
314        if len(state) != 4:
315            raise TypeError(f"expected 4 items in state, got {len(state)}")
316        func, args, kwds, namespace = state
317        if (not callable(func) or not isinstance(args, tuple) or
318           (kwds is not None and not isinstance(kwds, dict)) or
319           (namespace is not None and not isinstance(namespace, dict))):
320            raise TypeError("invalid partial state")
321
322        args = tuple(args) # just in case it's a subclass
323        if kwds is None:
324            kwds = {}
325        elif type(kwds) is not dict: # XXX does it need to be *exactly* dict?
326            kwds = dict(kwds)
327        if namespace is None:
328            namespace = {}
329
330        self.__dict__ = namespace
331        self.func = func
332        self.args = args
333        self.keywords = kwds
334
335try:
336    from _functools import partial
337except ImportError:
338    pass
339
340# Descriptor version
341class partialmethod(object):
342    """Method descriptor with partial application of the given arguments
343    and keywords.
344
345    Supports wrapping existing descriptors and handles non-descriptor
346    callables as instance methods.
347    """
348
349    def __init__(*args, **keywords):
350        if len(args) >= 2:
351            self, func, *args = args
352        elif not args:
353            raise TypeError("descriptor '__init__' of partialmethod "
354                            "needs an argument")
355        elif 'func' in keywords:
356            func = keywords.pop('func')
357            self, *args = args
358            import warnings
359            warnings.warn("Passing 'func' as keyword argument is deprecated",
360                          DeprecationWarning, stacklevel=2)
361        else:
362            raise TypeError("type 'partialmethod' takes at least one argument, "
363                            "got %d" % (len(args)-1))
364        args = tuple(args)
365
366        if not callable(func) and not hasattr(func, "__get__"):
367            raise TypeError("{!r} is not callable or a descriptor"
368                                 .format(func))
369
370        # func could be a descriptor like classmethod which isn't callable,
371        # so we can't inherit from partial (it verifies func is callable)
372        if isinstance(func, partialmethod):
373            # flattening is mandatory in order to place cls/self before all
374            # other arguments
375            # it's also more efficient since only one function will be called
376            self.func = func.func
377            self.args = func.args + args
378            self.keywords = {**func.keywords, **keywords}
379        else:
380            self.func = func
381            self.args = args
382            self.keywords = keywords
383    __init__.__text_signature__ = '($self, func, /, *args, **keywords)'
384
385    def __repr__(self):
386        args = ", ".join(map(repr, self.args))
387        keywords = ", ".join("{}={!r}".format(k, v)
388                                 for k, v in self.keywords.items())
389        format_string = "{module}.{cls}({func}, {args}, {keywords})"
390        return format_string.format(module=self.__class__.__module__,
391                                    cls=self.__class__.__qualname__,
392                                    func=self.func,
393                                    args=args,
394                                    keywords=keywords)
395
396    def _make_unbound_method(self):
397        def _method(cls_or_self, /, *args, **keywords):
398            keywords = {**self.keywords, **keywords}
399            return self.func(cls_or_self, *self.args, *args, **keywords)
400        _method.__isabstractmethod__ = self.__isabstractmethod__
401        _method._partialmethod = self
402        return _method
403
404    def __get__(self, obj, cls=None):
405        get = getattr(self.func, "__get__", None)
406        result = None
407        if get is not None:
408            new_func = get(obj, cls)
409            if new_func is not self.func:
410                # Assume __get__ returning something new indicates the
411                # creation of an appropriate callable
412                result = partial(new_func, *self.args, **self.keywords)
413                try:
414                    result.__self__ = new_func.__self__
415                except AttributeError:
416                    pass
417        if result is None:
418            # If the underlying descriptor didn't do anything, treat this
419            # like an instance method
420            result = self._make_unbound_method().__get__(obj, cls)
421        return result
422
423    @property
424    def __isabstractmethod__(self):
425        return getattr(self.func, "__isabstractmethod__", False)
426
427# Helper functions
428
429def _unwrap_partial(func):
430    while isinstance(func, partial):
431        func = func.func
432    return func
433
434################################################################################
435### LRU Cache function decorator
436################################################################################
437
438_CacheInfo = namedtuple("CacheInfo", ["hits", "misses", "maxsize", "currsize"])
439
440class _HashedSeq(list):
441    """ This class guarantees that hash() will be called no more than once
442        per element.  This is important because the lru_cache() will hash
443        the key multiple times on a cache miss.
444
445    """
446
447    __slots__ = 'hashvalue'
448
449    def __init__(self, tup, hash=hash):
450        self[:] = tup
451        self.hashvalue = hash(tup)
452
453    def __hash__(self):
454        return self.hashvalue
455
456def _make_key(args, kwds, typed,
457             kwd_mark = (object(),),
458             fasttypes = {int, str},
459             tuple=tuple, type=type, len=len):
460    """Make a cache key from optionally typed positional and keyword arguments
461
462    The key is constructed in a way that is flat as possible rather than
463    as a nested structure that would take more memory.
464
465    If there is only a single argument and its data type is known to cache
466    its hash value, then that argument is returned without a wrapper.  This
467    saves space and improves lookup speed.
468
469    """
470    # All of code below relies on kwds preserving the order input by the user.
471    # Formerly, we sorted() the kwds before looping.  The new way is *much*
472    # faster; however, it means that f(x=1, y=2) will now be treated as a
473    # distinct call from f(y=2, x=1) which will be cached separately.
474    key = args
475    if kwds:
476        key += kwd_mark
477        for item in kwds.items():
478            key += item
479    if typed:
480        key += tuple(type(v) for v in args)
481        if kwds:
482            key += tuple(type(v) for v in kwds.values())
483    elif len(key) == 1 and type(key[0]) in fasttypes:
484        return key[0]
485    return _HashedSeq(key)
486
487def lru_cache(maxsize=128, typed=False):
488    """Least-recently-used cache decorator.
489
490    If *maxsize* is set to None, the LRU features are disabled and the cache
491    can grow without bound.
492
493    If *typed* is True, arguments of different types will be cached separately.
494    For example, f(3.0) and f(3) will be treated as distinct calls with
495    distinct results.
496
497    Arguments to the cached function must be hashable.
498
499    View the cache statistics named tuple (hits, misses, maxsize, currsize)
500    with f.cache_info().  Clear the cache and statistics with f.cache_clear().
501    Access the underlying function with f.__wrapped__.
502
503    See:  http://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)
504
505    """
506
507    # Users should only access the lru_cache through its public API:
508    #       cache_info, cache_clear, and f.__wrapped__
509    # The internals of the lru_cache are encapsulated for thread safety and
510    # to allow the implementation to change (including a possible C version).
511
512    if isinstance(maxsize, int):
513        # Negative maxsize is treated as 0
514        if maxsize < 0:
515            maxsize = 0
516    elif callable(maxsize) and isinstance(typed, bool):
517        # The user_function was passed in directly via the maxsize argument
518        user_function, maxsize = maxsize, 128
519        wrapper = _lru_cache_wrapper(user_function, maxsize, typed, _CacheInfo)
520        return update_wrapper(wrapper, user_function)
521    elif maxsize is not None:
522        raise TypeError(
523            'Expected first argument to be an integer, a callable, or None')
524
525    def decorating_function(user_function):
526        wrapper = _lru_cache_wrapper(user_function, maxsize, typed, _CacheInfo)
527        return update_wrapper(wrapper, user_function)
528
529    return decorating_function
530
531def _lru_cache_wrapper(user_function, maxsize, typed, _CacheInfo):
532    # Constants shared by all lru cache instances:
533    sentinel = object()          # unique object used to signal cache misses
534    make_key = _make_key         # build a key from the function arguments
535    PREV, NEXT, KEY, RESULT = 0, 1, 2, 3   # names for the link fields
536
537    cache = {}
538    hits = misses = 0
539    full = False
540    cache_get = cache.get    # bound method to lookup a key or return None
541    cache_len = cache.__len__  # get cache size without calling len()
542    lock = RLock()           # because linkedlist updates aren't threadsafe
543    root = []                # root of the circular doubly linked list
544    root[:] = [root, root, None, None]     # initialize by pointing to self
545
546    if maxsize == 0:
547
548        def wrapper(*args, **kwds):
549            # No caching -- just a statistics update
550            nonlocal misses
551            misses += 1
552            result = user_function(*args, **kwds)
553            return result
554
555    elif maxsize is None:
556
557        def wrapper(*args, **kwds):
558            # Simple caching without ordering or size limit
559            nonlocal hits, misses
560            key = make_key(args, kwds, typed)
561            result = cache_get(key, sentinel)
562            if result is not sentinel:
563                hits += 1
564                return result
565            misses += 1
566            result = user_function(*args, **kwds)
567            cache[key] = result
568            return result
569
570    else:
571
572        def wrapper(*args, **kwds):
573            # Size limited caching that tracks accesses by recency
574            nonlocal root, hits, misses, full
575            key = make_key(args, kwds, typed)
576            with lock:
577                link = cache_get(key)
578                if link is not None:
579                    # Move the link to the front of the circular queue
580                    link_prev, link_next, _key, result = link
581                    link_prev[NEXT] = link_next
582                    link_next[PREV] = link_prev
583                    last = root[PREV]
584                    last[NEXT] = root[PREV] = link
585                    link[PREV] = last
586                    link[NEXT] = root
587                    hits += 1
588                    return result
589                misses += 1
590            result = user_function(*args, **kwds)
591            with lock:
592                if key in cache:
593                    # Getting here means that this same key was added to the
594                    # cache while the lock was released.  Since the link
595                    # update is already done, we need only return the
596                    # computed result and update the count of misses.
597                    pass
598                elif full:
599                    # Use the old root to store the new key and result.
600                    oldroot = root
601                    oldroot[KEY] = key
602                    oldroot[RESULT] = result
603                    # Empty the oldest link and make it the new root.
604                    # Keep a reference to the old key and old result to
605                    # prevent their ref counts from going to zero during the
606                    # update. That will prevent potentially arbitrary object
607                    # clean-up code (i.e. __del__) from running while we're
608                    # still adjusting the links.
609                    root = oldroot[NEXT]
610                    oldkey = root[KEY]
611                    oldresult = root[RESULT]
612                    root[KEY] = root[RESULT] = None
613                    # Now update the cache dictionary.
614                    del cache[oldkey]
615                    # Save the potentially reentrant cache[key] assignment
616                    # for last, after the root and links have been put in
617                    # a consistent state.
618                    cache[key] = oldroot
619                else:
620                    # Put result in a new link at the front of the queue.
621                    last = root[PREV]
622                    link = [last, root, key, result]
623                    last[NEXT] = root[PREV] = cache[key] = link
624                    # Use the cache_len bound method instead of the len() function
625                    # which could potentially be wrapped in an lru_cache itself.
626                    full = (cache_len() >= maxsize)
627            return result
628
629    def cache_info():
630        """Report cache statistics"""
631        with lock:
632            return _CacheInfo(hits, misses, maxsize, cache_len())
633
634    def cache_clear():
635        """Clear the cache and cache statistics"""
636        nonlocal hits, misses, full
637        with lock:
638            cache.clear()
639            root[:] = [root, root, None, None]
640            hits = misses = 0
641            full = False
642
643    wrapper.cache_info = cache_info
644    wrapper.cache_clear = cache_clear
645    return wrapper
646
647try:
648    from _functools import _lru_cache_wrapper
649except ImportError:
650    pass
651
652
653################################################################################
654### singledispatch() - single-dispatch generic function decorator
655################################################################################
656
657def _c3_merge(sequences):
658    """Merges MROs in *sequences* to a single MRO using the C3 algorithm.
659
660    Adapted from http://www.python.org/download/releases/2.3/mro/.
661
662    """
663    result = []
664    while True:
665        sequences = [s for s in sequences if s]   # purge empty sequences
666        if not sequences:
667            return result
668        for s1 in sequences:   # find merge candidates among seq heads
669            candidate = s1[0]
670            for s2 in sequences:
671                if candidate in s2[1:]:
672                    candidate = None
673                    break      # reject the current head, it appears later
674            else:
675                break
676        if candidate is None:
677            raise RuntimeError("Inconsistent hierarchy")
678        result.append(candidate)
679        # remove the chosen candidate
680        for seq in sequences:
681            if seq[0] == candidate:
682                del seq[0]
683
684def _c3_mro(cls, abcs=None):
685    """Computes the method resolution order using extended C3 linearization.
686
687    If no *abcs* are given, the algorithm works exactly like the built-in C3
688    linearization used for method resolution.
689
690    If given, *abcs* is a list of abstract base classes that should be inserted
691    into the resulting MRO. Unrelated ABCs are ignored and don't end up in the
692    result. The algorithm inserts ABCs where their functionality is introduced,
693    i.e. issubclass(cls, abc) returns True for the class itself but returns
694    False for all its direct base classes. Implicit ABCs for a given class
695    (either registered or inferred from the presence of a special method like
696    __len__) are inserted directly after the last ABC explicitly listed in the
697    MRO of said class. If two implicit ABCs end up next to each other in the
698    resulting MRO, their ordering depends on the order of types in *abcs*.
699
700    """
701    for i, base in enumerate(reversed(cls.__bases__)):
702        if hasattr(base, '__abstractmethods__'):
703            boundary = len(cls.__bases__) - i
704            break   # Bases up to the last explicit ABC are considered first.
705    else:
706        boundary = 0
707    abcs = list(abcs) if abcs else []
708    explicit_bases = list(cls.__bases__[:boundary])
709    abstract_bases = []
710    other_bases = list(cls.__bases__[boundary:])
711    for base in abcs:
712        if issubclass(cls, base) and not any(
713                issubclass(b, base) for b in cls.__bases__
714            ):
715            # If *cls* is the class that introduces behaviour described by
716            # an ABC *base*, insert said ABC to its MRO.
717            abstract_bases.append(base)
718    for base in abstract_bases:
719        abcs.remove(base)
720    explicit_c3_mros = [_c3_mro(base, abcs=abcs) for base in explicit_bases]
721    abstract_c3_mros = [_c3_mro(base, abcs=abcs) for base in abstract_bases]
722    other_c3_mros = [_c3_mro(base, abcs=abcs) for base in other_bases]
723    return _c3_merge(
724        [[cls]] +
725        explicit_c3_mros + abstract_c3_mros + other_c3_mros +
726        [explicit_bases] + [abstract_bases] + [other_bases]
727    )
728
729def _compose_mro(cls, types):
730    """Calculates the method resolution order for a given class *cls*.
731
732    Includes relevant abstract base classes (with their respective bases) from
733    the *types* iterable. Uses a modified C3 linearization algorithm.
734
735    """
736    bases = set(cls.__mro__)
737    # Remove entries which are already present in the __mro__ or unrelated.
738    def is_related(typ):
739        return (typ not in bases and hasattr(typ, '__mro__')
740                                 and issubclass(cls, typ))
741    types = [n for n in types if is_related(n)]
742    # Remove entries which are strict bases of other entries (they will end up
743    # in the MRO anyway.
744    def is_strict_base(typ):
745        for other in types:
746            if typ != other and typ in other.__mro__:
747                return True
748        return False
749    types = [n for n in types if not is_strict_base(n)]
750    # Subclasses of the ABCs in *types* which are also implemented by
751    # *cls* can be used to stabilize ABC ordering.
752    type_set = set(types)
753    mro = []
754    for typ in types:
755        found = []
756        for sub in typ.__subclasses__():
757            if sub not in bases and issubclass(cls, sub):
758                found.append([s for s in sub.__mro__ if s in type_set])
759        if not found:
760            mro.append(typ)
761            continue
762        # Favor subclasses with the biggest number of useful bases
763        found.sort(key=len, reverse=True)
764        for sub in found:
765            for subcls in sub:
766                if subcls not in mro:
767                    mro.append(subcls)
768    return _c3_mro(cls, abcs=mro)
769
770def _find_impl(cls, registry):
771    """Returns the best matching implementation from *registry* for type *cls*.
772
773    Where there is no registered implementation for a specific type, its method
774    resolution order is used to find a more generic implementation.
775
776    Note: if *registry* does not contain an implementation for the base
777    *object* type, this function may return None.
778
779    """
780    mro = _compose_mro(cls, registry.keys())
781    match = None
782    for t in mro:
783        if match is not None:
784            # If *match* is an implicit ABC but there is another unrelated,
785            # equally matching implicit ABC, refuse the temptation to guess.
786            if (t in registry and t not in cls.__mro__
787                              and match not in cls.__mro__
788                              and not issubclass(match, t)):
789                raise RuntimeError("Ambiguous dispatch: {} or {}".format(
790                    match, t))
791            break
792        if t in registry:
793            match = t
794    return registry.get(match)
795
796def singledispatch(func):
797    """Single-dispatch generic function decorator.
798
799    Transforms a function into a generic function, which can have different
800    behaviours depending upon the type of its first argument. The decorated
801    function acts as the default implementation, and additional
802    implementations can be registered using the register() attribute of the
803    generic function.
804    """
805    # There are many programs that use functools without singledispatch, so we
806    # trade-off making singledispatch marginally slower for the benefit of
807    # making start-up of such applications slightly faster.
808    import types, weakref
809
810    registry = {}
811    dispatch_cache = weakref.WeakKeyDictionary()
812    cache_token = None
813
814    def dispatch(cls):
815        """generic_func.dispatch(cls) -> <function implementation>
816
817        Runs the dispatch algorithm to return the best available implementation
818        for the given *cls* registered on *generic_func*.
819
820        """
821        nonlocal cache_token
822        if cache_token is not None:
823            current_token = get_cache_token()
824            if cache_token != current_token:
825                dispatch_cache.clear()
826                cache_token = current_token
827        try:
828            impl = dispatch_cache[cls]
829        except KeyError:
830            try:
831                impl = registry[cls]
832            except KeyError:
833                impl = _find_impl(cls, registry)
834            dispatch_cache[cls] = impl
835        return impl
836
837    def register(cls, func=None):
838        """generic_func.register(cls, func) -> func
839
840        Registers a new implementation for the given *cls* on a *generic_func*.
841
842        """
843        nonlocal cache_token
844        if func is None:
845            if isinstance(cls, type):
846                return lambda f: register(cls, f)
847            ann = getattr(cls, '__annotations__', {})
848            if not ann:
849                raise TypeError(
850                    f"Invalid first argument to `register()`: {cls!r}. "
851                    f"Use either `@register(some_class)` or plain `@register` "
852                    f"on an annotated function."
853                )
854            func = cls
855
856            # only import typing if annotation parsing is necessary
857            from typing import get_type_hints
858            argname, cls = next(iter(get_type_hints(func).items()))
859            if not isinstance(cls, type):
860                raise TypeError(
861                    f"Invalid annotation for {argname!r}. "
862                    f"{cls!r} is not a class."
863                )
864        registry[cls] = func
865        if cache_token is None and hasattr(cls, '__abstractmethods__'):
866            cache_token = get_cache_token()
867        dispatch_cache.clear()
868        return func
869
870    def wrapper(*args, **kw):
871        if not args:
872            raise TypeError(f'{funcname} requires at least '
873                            '1 positional argument')
874
875        return dispatch(args[0].__class__)(*args, **kw)
876
877    funcname = getattr(func, '__name__', 'singledispatch function')
878    registry[object] = func
879    wrapper.register = register
880    wrapper.dispatch = dispatch
881    wrapper.registry = types.MappingProxyType(registry)
882    wrapper._clear_cache = dispatch_cache.clear
883    update_wrapper(wrapper, func)
884    return wrapper
885
886
887# Descriptor version
888class singledispatchmethod:
889    """Single-dispatch generic method descriptor.
890
891    Supports wrapping existing descriptors and handles non-descriptor
892    callables as instance methods.
893    """
894
895    def __init__(self, func):
896        if not callable(func) and not hasattr(func, "__get__"):
897            raise TypeError(f"{func!r} is not callable or a descriptor")
898
899        self.dispatcher = singledispatch(func)
900        self.func = func
901
902    def register(self, cls, method=None):
903        """generic_method.register(cls, func) -> func
904
905        Registers a new implementation for the given *cls* on a *generic_method*.
906        """
907        return self.dispatcher.register(cls, func=method)
908
909    def __get__(self, obj, cls=None):
910        def _method(*args, **kwargs):
911            method = self.dispatcher.dispatch(args[0].__class__)
912            return method.__get__(obj, cls)(*args, **kwargs)
913
914        _method.__isabstractmethod__ = self.__isabstractmethod__
915        _method.register = self.register
916        update_wrapper(_method, self.func)
917        return _method
918
919    @property
920    def __isabstractmethod__(self):
921        return getattr(self.func, '__isabstractmethod__', False)
922
923
924################################################################################
925### cached_property() - computed once per instance, cached as attribute
926################################################################################
927
928_NOT_FOUND = object()
929
930
931class cached_property:
932    def __init__(self, func):
933        self.func = func
934        self.attrname = None
935        self.__doc__ = func.__doc__
936        self.lock = RLock()
937
938    def __set_name__(self, owner, name):
939        if self.attrname is None:
940            self.attrname = name
941        elif name != self.attrname:
942            raise TypeError(
943                "Cannot assign the same cached_property to two different names "
944                f"({self.attrname!r} and {name!r})."
945            )
946
947    def __get__(self, instance, owner=None):
948        if instance is None:
949            return self
950        if self.attrname is None:
951            raise TypeError(
952                "Cannot use cached_property instance without calling __set_name__ on it.")
953        try:
954            cache = instance.__dict__
955        except AttributeError:  # not all objects have __dict__ (e.g. class defines slots)
956            msg = (
957                f"No '__dict__' attribute on {type(instance).__name__!r} "
958                f"instance to cache {self.attrname!r} property."
959            )
960            raise TypeError(msg) from None
961        val = cache.get(self.attrname, _NOT_FOUND)
962        if val is _NOT_FOUND:
963            with self.lock:
964                # check if another thread filled cache while we awaited lock
965                val = cache.get(self.attrname, _NOT_FOUND)
966                if val is _NOT_FOUND:
967                    val = self.func(instance)
968                    try:
969                        cache[self.attrname] = val
970                    except TypeError:
971                        msg = (
972                            f"The '__dict__' attribute on {type(instance).__name__!r} instance "
973                            f"does not support item assignment for caching {self.attrname!r} property."
974                        )
975                        raise TypeError(msg) from None
976        return val
977