677 lines
25 KiB
ReStructuredText
677 lines
25 KiB
ReStructuredText
:mod:`functools` --- Higher-order functions and operations on callable objects
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==============================================================================
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.. module:: functools
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:synopsis: Higher-order functions and operations on callable objects.
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.. moduleauthor:: Peter Harris <scav@blueyonder.co.uk>
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.. moduleauthor:: Raymond Hettinger <python@rcn.com>
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.. moduleauthor:: Nick Coghlan <ncoghlan@gmail.com>
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.. moduleauthor:: Łukasz Langa <lukasz@langa.pl>
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.. moduleauthor:: Pablo Galindo <pablogsal@gmail.com>
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.. sectionauthor:: Peter Harris <scav@blueyonder.co.uk>
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**Source code:** :source:`Lib/functools.py`
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.. testsetup:: default
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import functools
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from functools import *
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--------------
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The :mod:`functools` module is for higher-order functions: functions that act on
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or return other functions. In general, any callable object can be treated as a
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function for the purposes of this module.
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The :mod:`functools` module defines the following functions:
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.. decorator:: cache(user_function)
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Simple lightweight unbounded function cache. Sometimes called
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`"memoize" <https://en.wikipedia.org/wiki/Memoization>`_.
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Returns the same as ``lru_cache(maxsize=None)``, creating a thin
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wrapper around a dictionary lookup for the function arguments. Because it
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never needs to evict old values, this is smaller and faster than
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:func:`lru_cache()` with a size limit.
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For example::
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@cache
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def factorial(n):
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return n * factorial(n-1) if n else 1
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>>> factorial(10) # no previously cached result, makes 11 recursive calls
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3628800
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>>> factorial(5) # just looks up cached value result
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120
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>>> factorial(12) # makes two new recursive calls, the other 10 are cached
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479001600
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.. versionadded:: 3.9
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.. decorator:: cached_property(func)
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Transform a method of a class into a property whose value is computed once
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and then cached as a normal attribute for the life of the instance. Similar
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to :func:`property`, with the addition of caching. Useful for expensive
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computed properties of instances that are otherwise effectively immutable.
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Example::
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class DataSet:
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def __init__(self, sequence_of_numbers):
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self._data = sequence_of_numbers
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@cached_property
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def stdev(self):
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return statistics.stdev(self._data)
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@cached_property
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def variance(self):
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return statistics.variance(self._data)
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Note, this decorator interferes with the operation of :pep:`412`
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key-sharing dictionaries. This means that instance dictionaries
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can take more space than usual.
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Also, this decorator requires that the ``__dict__`` attribute on each instance
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be a mutable mapping. This means it will not work with some types, such as
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metaclasses (since the ``__dict__`` attributes on type instances are
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read-only proxies for the class namespace), and those that specify
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``__slots__`` without including ``__dict__`` as one of the defined slots
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(as such classes don't provide a ``__dict__`` attribute at all).
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If a mutable mapping is not available or if space-efficient key sharing
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is desired, an effect similar to :func:`cached_property` can be achieved
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by a stacking :func:`property` on top of :func:`cache`::
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class DataSet:
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def __init__(self, sequence_of_numbers):
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self._data = sequence_of_numbers
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@property
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@cache
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def stdev(self):
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return statistics.stdev(self._data)
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.. versionadded:: 3.8
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.. function:: cmp_to_key(func)
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Transform an old-style comparison function to a :term:`key function`. Used
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with tools that accept key functions (such as :func:`sorted`, :func:`min`,
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:func:`max`, :func:`heapq.nlargest`, :func:`heapq.nsmallest`,
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:func:`itertools.groupby`). This function is primarily used as a transition
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tool for programs being converted from Python 2 which supported the use of
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comparison functions.
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A comparison function is any callable that accept two arguments, compares them,
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and returns a negative number for less-than, zero for equality, or a positive
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number for greater-than. A key function is a callable that accepts one
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argument and returns another value to be used as the sort key.
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Example::
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sorted(iterable, key=cmp_to_key(locale.strcoll)) # locale-aware sort order
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For sorting examples and a brief sorting tutorial, see :ref:`sortinghowto`.
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.. versionadded:: 3.2
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.. decorator:: lru_cache(user_function)
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lru_cache(maxsize=128, typed=False)
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Decorator to wrap a function with a memoizing callable that saves up to the
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*maxsize* most recent calls. It can save time when an expensive or I/O bound
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function is periodically called with the same arguments.
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Since a dictionary is used to cache results, the positional and keyword
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arguments to the function must be hashable.
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Distinct argument patterns may be considered to be distinct calls with
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separate cache entries. For example, `f(a=1, b=2)` and `f(b=2, a=1)`
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differ in their keyword argument order and may have two separate cache
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entries.
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If *user_function* is specified, it must be a callable. This allows the
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*lru_cache* decorator to be applied directly to a user function, leaving
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the *maxsize* at its default value of 128::
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@lru_cache
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def count_vowels(sentence):
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sentence = sentence.casefold()
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return sum(sentence.count(vowel) for vowel in 'aeiou')
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If *maxsize* is set to ``None``, the LRU feature is disabled and the cache can
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grow without bound.
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If *typed* is set to true, function arguments of different types will be
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cached separately. For example, ``f(3)`` and ``f(3.0)`` will be treated
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as distinct calls with distinct results.
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The wrapped function is instrumented with a :func:`cache_parameters`
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function that returns a new :class:`dict` showing the values for *maxsize*
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and *typed*. This is for information purposes only. Mutating the values
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has no effect.
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To help measure the effectiveness of the cache and tune the *maxsize*
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parameter, the wrapped function is instrumented with a :func:`cache_info`
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function that returns a :term:`named tuple` showing *hits*, *misses*,
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*maxsize* and *currsize*. In a multi-threaded environment, the hits
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and misses are approximate.
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The decorator also provides a :func:`cache_clear` function for clearing or
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invalidating the cache.
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The original underlying function is accessible through the
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:attr:`__wrapped__` attribute. This is useful for introspection, for
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bypassing the cache, or for rewrapping the function with a different cache.
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An `LRU (least recently used) cache
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<https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_recently_used_(LRU)>`_
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works best when the most recent calls are the best predictors of upcoming
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calls (for example, the most popular articles on a news server tend to
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change each day). The cache's size limit assures that the cache does not
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grow without bound on long-running processes such as web servers.
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In general, the LRU cache should only be used when you want to reuse
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previously computed values. Accordingly, it doesn't make sense to cache
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functions with side-effects, functions that need to create distinct mutable
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objects on each call, or impure functions such as time() or random().
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Example of an LRU cache for static web content::
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@lru_cache(maxsize=32)
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def get_pep(num):
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'Retrieve text of a Python Enhancement Proposal'
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resource = 'http://www.python.org/dev/peps/pep-%04d/' % num
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try:
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with urllib.request.urlopen(resource) as s:
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return s.read()
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except urllib.error.HTTPError:
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return 'Not Found'
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>>> for n in 8, 290, 308, 320, 8, 218, 320, 279, 289, 320, 9991:
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... pep = get_pep(n)
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... print(n, len(pep))
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>>> get_pep.cache_info()
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CacheInfo(hits=3, misses=8, maxsize=32, currsize=8)
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Example of efficiently computing
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`Fibonacci numbers <https://en.wikipedia.org/wiki/Fibonacci_number>`_
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using a cache to implement a
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`dynamic programming <https://en.wikipedia.org/wiki/Dynamic_programming>`_
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technique::
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@lru_cache(maxsize=None)
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def fib(n):
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if n < 2:
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return n
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return fib(n-1) + fib(n-2)
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>>> [fib(n) for n in range(16)]
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[0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610]
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>>> fib.cache_info()
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CacheInfo(hits=28, misses=16, maxsize=None, currsize=16)
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.. versionadded:: 3.2
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.. versionchanged:: 3.3
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Added the *typed* option.
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.. versionchanged:: 3.8
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Added the *user_function* option.
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.. versionadded:: 3.9
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Added the function :func:`cache_parameters`
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.. decorator:: total_ordering
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Given a class defining one or more rich comparison ordering methods, this
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class decorator supplies the rest. This simplifies the effort involved
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in specifying all of the possible rich comparison operations:
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The class must define one of :meth:`__lt__`, :meth:`__le__`,
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:meth:`__gt__`, or :meth:`__ge__`.
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In addition, the class should supply an :meth:`__eq__` method.
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For example::
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@total_ordering
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class Student:
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def _is_valid_operand(self, other):
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return (hasattr(other, "lastname") and
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hasattr(other, "firstname"))
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def __eq__(self, other):
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if not self._is_valid_operand(other):
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return NotImplemented
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return ((self.lastname.lower(), self.firstname.lower()) ==
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(other.lastname.lower(), other.firstname.lower()))
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def __lt__(self, other):
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if not self._is_valid_operand(other):
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return NotImplemented
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return ((self.lastname.lower(), self.firstname.lower()) <
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(other.lastname.lower(), other.firstname.lower()))
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.. note::
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While this decorator makes it easy to create well behaved totally
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ordered types, it *does* come at the cost of slower execution and
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more complex stack traces for the derived comparison methods. If
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performance benchmarking indicates this is a bottleneck for a given
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application, implementing all six rich comparison methods instead is
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likely to provide an easy speed boost.
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.. note::
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This decorator makes no attempt to override methods that have been
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declared in the class *or its superclasses*. Meaning that if a
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superclass defines a comparison operator, *total_ordering* will not
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implement it again, even if the original method is abstract.
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.. versionadded:: 3.2
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.. versionchanged:: 3.4
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Returning NotImplemented from the underlying comparison function for
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unrecognised types is now supported.
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.. function:: partial(func, /, *args, **keywords)
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Return a new :ref:`partial object<partial-objects>` which when called
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will behave like *func* called with the positional arguments *args*
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and keyword arguments *keywords*. If more arguments are supplied to the
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call, they are appended to *args*. If additional keyword arguments are
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supplied, they extend and override *keywords*.
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Roughly equivalent to::
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def partial(func, /, *args, **keywords):
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def newfunc(*fargs, **fkeywords):
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newkeywords = {**keywords, **fkeywords}
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return func(*args, *fargs, **newkeywords)
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newfunc.func = func
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newfunc.args = args
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newfunc.keywords = keywords
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return newfunc
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The :func:`partial` is used for partial function application which "freezes"
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some portion of a function's arguments and/or keywords resulting in a new object
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with a simplified signature. For example, :func:`partial` can be used to create
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a callable that behaves like the :func:`int` function where the *base* argument
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defaults to two:
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>>> from functools import partial
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>>> basetwo = partial(int, base=2)
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>>> basetwo.__doc__ = 'Convert base 2 string to an int.'
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>>> basetwo('10010')
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18
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.. class:: partialmethod(func, /, *args, **keywords)
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Return a new :class:`partialmethod` descriptor which behaves
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like :class:`partial` except that it is designed to be used as a method
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definition rather than being directly callable.
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*func* must be a :term:`descriptor` or a callable (objects which are both,
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like normal functions, are handled as descriptors).
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When *func* is a descriptor (such as a normal Python function,
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:func:`classmethod`, :func:`staticmethod`, :func:`abstractmethod` or
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another instance of :class:`partialmethod`), calls to ``__get__`` are
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delegated to the underlying descriptor, and an appropriate
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:ref:`partial object<partial-objects>` returned as the result.
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When *func* is a non-descriptor callable, an appropriate bound method is
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created dynamically. This behaves like a normal Python function when
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used as a method: the *self* argument will be inserted as the first
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positional argument, even before the *args* and *keywords* supplied to
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the :class:`partialmethod` constructor.
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Example::
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>>> class Cell:
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... def __init__(self):
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... self._alive = False
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... @property
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... def alive(self):
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... return self._alive
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... def set_state(self, state):
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... self._alive = bool(state)
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... set_alive = partialmethod(set_state, True)
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... set_dead = partialmethod(set_state, False)
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...
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>>> c = Cell()
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>>> c.alive
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False
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>>> c.set_alive()
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>>> c.alive
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True
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.. versionadded:: 3.4
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.. function:: reduce(function, iterable[, initializer])
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Apply *function* of two arguments cumulatively to the items of *iterable*, from
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left to right, so as to reduce the iterable to a single value. For example,
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``reduce(lambda x, y: x+y, [1, 2, 3, 4, 5])`` calculates ``((((1+2)+3)+4)+5)``.
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The left argument, *x*, is the accumulated value and the right argument, *y*, is
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the update value from the *iterable*. If the optional *initializer* is present,
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it is placed before the items of the iterable in the calculation, and serves as
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a default when the iterable is empty. If *initializer* is not given and
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*iterable* contains only one item, the first item is returned.
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Roughly equivalent to::
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def reduce(function, iterable, initializer=None):
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it = iter(iterable)
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if initializer is None:
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value = next(it)
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else:
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value = initializer
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for element in it:
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value = function(value, element)
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return value
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See :func:`itertools.accumulate` for an iterator that yields all intermediate
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values.
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.. decorator:: singledispatch
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Transform a function into a :term:`single-dispatch <single
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dispatch>` :term:`generic function`.
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To define a generic function, decorate it with the ``@singledispatch``
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decorator. Note that the dispatch happens on the type of the first argument,
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create your function accordingly::
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>>> from functools import singledispatch
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>>> @singledispatch
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... def fun(arg, verbose=False):
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... if verbose:
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... print("Let me just say,", end=" ")
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... print(arg)
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To add overloaded implementations to the function, use the :func:`register`
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attribute of the generic function. It is a decorator. For functions
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annotated with types, the decorator will infer the type of the first
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argument automatically::
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>>> @fun.register
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... def _(arg: int, verbose=False):
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... if verbose:
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... print("Strength in numbers, eh?", end=" ")
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... print(arg)
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...
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>>> @fun.register
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... def _(arg: list, verbose=False):
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... if verbose:
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... print("Enumerate this:")
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... for i, elem in enumerate(arg):
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... print(i, elem)
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For code which doesn't use type annotations, the appropriate type
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argument can be passed explicitly to the decorator itself::
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>>> @fun.register(complex)
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... def _(arg, verbose=False):
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... if verbose:
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... print("Better than complicated.", end=" ")
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... print(arg.real, arg.imag)
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...
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To enable registering lambdas and pre-existing functions, the
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:func:`register` attribute can be used in a functional form::
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>>> def nothing(arg, verbose=False):
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... print("Nothing.")
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...
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>>> fun.register(type(None), nothing)
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The :func:`register` attribute returns the undecorated function which
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enables decorator stacking, pickling, as well as creating unit tests for
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each variant independently::
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>>> @fun.register(float)
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... @fun.register(Decimal)
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... def fun_num(arg, verbose=False):
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... if verbose:
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... print("Half of your number:", end=" ")
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... print(arg / 2)
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...
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>>> fun_num is fun
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False
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When called, the generic function dispatches on the type of the first
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argument::
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>>> fun("Hello, world.")
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Hello, world.
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>>> fun("test.", verbose=True)
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Let me just say, test.
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>>> fun(42, verbose=True)
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Strength in numbers, eh? 42
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>>> fun(['spam', 'spam', 'eggs', 'spam'], verbose=True)
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Enumerate this:
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0 spam
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1 spam
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2 eggs
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3 spam
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>>> fun(None)
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Nothing.
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>>> fun(1.23)
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0.615
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Where there is no registered implementation for a specific type, its
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method resolution order is used to find a more generic implementation.
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The original function decorated with ``@singledispatch`` is registered
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for the base ``object`` type, which means it is used if no better
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implementation is found.
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If an implementation registered to :term:`abstract base class`, virtual
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subclasses will be dispatched to that implementation::
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>>> from collections.abc import Mapping
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>>> @fun.register
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... def _(arg: Mapping, verbose=False):
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... if verbose:
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... print("Keys & Values")
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... for key, value in arg.items():
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... print(key, "=>", value)
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...
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>>> fun({"a": "b"})
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a => b
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To check which implementation will the generic function choose for
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a given type, use the ``dispatch()`` attribute::
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>>> fun.dispatch(float)
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<function fun_num at 0x1035a2840>
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>>> fun.dispatch(dict) # note: default implementation
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<function fun at 0x103fe0000>
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To access all registered implementations, use the read-only ``registry``
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attribute::
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>>> fun.registry.keys()
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dict_keys([<class 'NoneType'>, <class 'int'>, <class 'object'>,
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<class 'decimal.Decimal'>, <class 'list'>,
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<class 'float'>])
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>>> fun.registry[float]
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<function fun_num at 0x1035a2840>
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>>> fun.registry[object]
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<function fun at 0x103fe0000>
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.. versionadded:: 3.4
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.. versionchanged:: 3.7
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The :func:`register` attribute supports using type annotations.
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.. class:: singledispatchmethod(func)
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Transform a method into a :term:`single-dispatch <single
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dispatch>` :term:`generic function`.
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To define a generic method, decorate it with the ``@singledispatchmethod``
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decorator. Note that the dispatch happens on the type of the first non-self
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or non-cls argument, create your function accordingly::
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class Negator:
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@singledispatchmethod
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def neg(self, arg):
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raise NotImplementedError("Cannot negate a")
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@neg.register
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def _(self, arg: int):
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return -arg
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@neg.register
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def _(self, arg: bool):
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return not arg
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``@singledispatchmethod`` supports nesting with other decorators such as
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``@classmethod``. Note that to allow for ``dispatcher.register``,
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``singledispatchmethod`` must be the *outer most* decorator. Here is the
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``Negator`` class with the ``neg`` methods being class bound::
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class Negator:
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@singledispatchmethod
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@classmethod
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def neg(cls, arg):
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raise NotImplementedError("Cannot negate a")
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|
@neg.register
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@classmethod
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def _(cls, arg: int):
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return -arg
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|
|
@neg.register
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|
@classmethod
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|
def _(cls, arg: bool):
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return not arg
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|
The same pattern can be used for other similar decorators: ``staticmethod``,
|
|
``abstractmethod``, and others.
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|
|
.. versionadded:: 3.8
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.. function:: update_wrapper(wrapper, wrapped, assigned=WRAPPER_ASSIGNMENTS, updated=WRAPPER_UPDATES)
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|
Update a *wrapper* function to look like the *wrapped* function. The optional
|
|
arguments are tuples to specify which attributes of the original function are
|
|
assigned directly to the matching attributes on the wrapper function and which
|
|
attributes of the wrapper function are updated with the corresponding attributes
|
|
from the original function. The default values for these arguments are the
|
|
module level constants ``WRAPPER_ASSIGNMENTS`` (which assigns to the wrapper
|
|
function's ``__module__``, ``__name__``, ``__qualname__``, ``__annotations__``
|
|
and ``__doc__``, the documentation string) and ``WRAPPER_UPDATES`` (which
|
|
updates the wrapper function's ``__dict__``, i.e. the instance dictionary).
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|
|
To allow access to the original function for introspection and other purposes
|
|
(e.g. bypassing a caching decorator such as :func:`lru_cache`), this function
|
|
automatically adds a ``__wrapped__`` attribute to the wrapper that refers to
|
|
the function being wrapped.
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|
|
|
The main intended use for this function is in :term:`decorator` functions which
|
|
wrap the decorated function and return the wrapper. If the wrapper function is
|
|
not updated, the metadata of the returned function will reflect the wrapper
|
|
definition rather than the original function definition, which is typically less
|
|
than helpful.
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|
|
:func:`update_wrapper` may be used with callables other than functions. Any
|
|
attributes named in *assigned* or *updated* that are missing from the object
|
|
being wrapped are ignored (i.e. this function will not attempt to set them
|
|
on the wrapper function). :exc:`AttributeError` is still raised if the
|
|
wrapper function itself is missing any attributes named in *updated*.
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|
|
.. versionadded:: 3.2
|
|
Automatic addition of the ``__wrapped__`` attribute.
|
|
|
|
.. versionadded:: 3.2
|
|
Copying of the ``__annotations__`` attribute by default.
|
|
|
|
.. versionchanged:: 3.2
|
|
Missing attributes no longer trigger an :exc:`AttributeError`.
|
|
|
|
.. versionchanged:: 3.4
|
|
The ``__wrapped__`` attribute now always refers to the wrapped
|
|
function, even if that function defined a ``__wrapped__`` attribute.
|
|
(see :issue:`17482`)
|
|
|
|
|
|
.. decorator:: wraps(wrapped, assigned=WRAPPER_ASSIGNMENTS, updated=WRAPPER_UPDATES)
|
|
|
|
This is a convenience function for invoking :func:`update_wrapper` as a
|
|
function decorator when defining a wrapper function. It is equivalent to
|
|
``partial(update_wrapper, wrapped=wrapped, assigned=assigned, updated=updated)``.
|
|
For example::
|
|
|
|
>>> from functools import wraps
|
|
>>> def my_decorator(f):
|
|
... @wraps(f)
|
|
... def wrapper(*args, **kwds):
|
|
... print('Calling decorated function')
|
|
... return f(*args, **kwds)
|
|
... return wrapper
|
|
...
|
|
>>> @my_decorator
|
|
... def example():
|
|
... """Docstring"""
|
|
... print('Called example function')
|
|
...
|
|
>>> example()
|
|
Calling decorated function
|
|
Called example function
|
|
>>> example.__name__
|
|
'example'
|
|
>>> example.__doc__
|
|
'Docstring'
|
|
|
|
Without the use of this decorator factory, the name of the example function
|
|
would have been ``'wrapper'``, and the docstring of the original :func:`example`
|
|
would have been lost.
|
|
|
|
|
|
.. _partial-objects:
|
|
|
|
:class:`partial` Objects
|
|
------------------------
|
|
|
|
:class:`partial` objects are callable objects created by :func:`partial`. They
|
|
have three read-only attributes:
|
|
|
|
|
|
.. attribute:: partial.func
|
|
|
|
A callable object or function. Calls to the :class:`partial` object will be
|
|
forwarded to :attr:`func` with new arguments and keywords.
|
|
|
|
|
|
.. attribute:: partial.args
|
|
|
|
The leftmost positional arguments that will be prepended to the positional
|
|
arguments provided to a :class:`partial` object call.
|
|
|
|
|
|
.. attribute:: partial.keywords
|
|
|
|
The keyword arguments that will be supplied when the :class:`partial` object is
|
|
called.
|
|
|
|
:class:`partial` objects are like :class:`function` objects in that they are
|
|
callable, weak referencable, and can have attributes. There are some important
|
|
differences. For instance, the :attr:`~definition.__name__` and :attr:`__doc__` attributes
|
|
are not created automatically. Also, :class:`partial` objects defined in
|
|
classes behave like static methods and do not transform into bound methods
|
|
during instance attribute look-up.
|