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|   <section id="module-functools">
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| <span id="functools-higher-order-functions-and-operations-on-callable-objects"></span><h1><code class="xref py py-mod docutils literal notranslate"><span class="pre">functools</span></code> — Higher-order functions and operations on callable objects<a class="headerlink" href="#module-functools" title="Link to this heading">¶</a></h1>
 | ||
| <p><strong>Source code:</strong> <a class="extlink-source reference external" href="https://github.com/python/cpython/tree/3.13/Lib/functools.py">Lib/functools.py</a></p>
 | ||
| <hr class="docutils" />
 | ||
| <p>The <a class="reference internal" href="#module-functools" title="functools: Higher-order functions and operations on callable objects."><code class="xref py py-mod docutils literal notranslate"><span class="pre">functools</span></code></a> module is for higher-order functions: functions that act on
 | ||
| or return other functions. In general, any callable object can be treated as a
 | ||
| function for the purposes of this module.</p>
 | ||
| <p>The <a class="reference internal" href="#module-functools" title="functools: Higher-order functions and operations on callable objects."><code class="xref py py-mod docutils literal notranslate"><span class="pre">functools</span></code></a> module defines the following functions:</p>
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.cache">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">cache</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">user_function</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.cache" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Simple lightweight unbounded function cache.  Sometimes called
 | ||
| <a class="reference external" href="https://en.wikipedia.org/wiki/Memoization">“memoize”</a>.</p>
 | ||
| <p>Returns the same as <code class="docutils literal notranslate"><span class="pre">lru_cache(maxsize=None)</span></code>, creating a thin
 | ||
| wrapper around a dictionary lookup for the function arguments.  Because it
 | ||
| never needs to evict old values, this is smaller and faster than
 | ||
| <a class="reference internal" href="#functools.lru_cache" title="functools.lru_cache"><code class="xref py py-func docutils literal notranslate"><span class="pre">lru_cache()</span></code></a> with a size limit.</p>
 | ||
| <p>For example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nd">@cache</span>
 | ||
| <span class="k">def</span><span class="w"> </span><span class="nf">factorial</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
 | ||
|     <span class="k">return</span> <span class="n">n</span> <span class="o">*</span> <span class="n">factorial</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span> <span class="k">if</span> <span class="n">n</span> <span class="k">else</span> <span class="mi">1</span>
 | ||
| 
 | ||
| <span class="o">>>></span> <span class="n">factorial</span><span class="p">(</span><span class="mi">10</span><span class="p">)</span>      <span class="c1"># no previously cached result, makes 11 recursive calls</span>
 | ||
| <span class="mi">3628800</span>
 | ||
| <span class="o">>>></span> <span class="n">factorial</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>       <span class="c1"># just looks up cached value result</span>
 | ||
| <span class="mi">120</span>
 | ||
| <span class="o">>>></span> <span class="n">factorial</span><span class="p">(</span><span class="mi">12</span><span class="p">)</span>      <span class="c1"># makes two new recursive calls, the other 10 are cached</span>
 | ||
| <span class="mi">479001600</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>The cache is threadsafe so that the wrapped function can be used in
 | ||
| multiple threads.  This means that the underlying data structure will
 | ||
| remain coherent during concurrent updates.</p>
 | ||
| <p>It is possible for the wrapped function to be called more than once if
 | ||
| another thread makes an additional call before the initial call has been
 | ||
| completed and cached.</p>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.9.</span></p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.cached_property">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">cached_property</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">func</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.cached_property" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Transform a method of a class into a property whose value is computed once
 | ||
| and then cached as a normal attribute for the life of the instance. Similar
 | ||
| to <a class="reference internal" href="functions.html#property" title="property"><code class="xref py py-func docutils literal notranslate"><span class="pre">property()</span></code></a>, with the addition of caching. Useful for expensive
 | ||
| computed properties of instances that are otherwise effectively immutable.</p>
 | ||
| <p>Example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="k">class</span><span class="w"> </span><span class="nc">DataSet</span><span class="p">:</span>
 | ||
| 
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">sequence_of_numbers</span><span class="p">):</span>
 | ||
|         <span class="bp">self</span><span class="o">.</span><span class="n">_data</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">sequence_of_numbers</span><span class="p">)</span>
 | ||
| 
 | ||
|     <span class="nd">@cached_property</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">stdev</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="n">statistics</span><span class="o">.</span><span class="n">stdev</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">_data</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>The mechanics of <a class="reference internal" href="#functools.cached_property" title="functools.cached_property"><code class="xref py py-func docutils literal notranslate"><span class="pre">cached_property()</span></code></a> are somewhat different from
 | ||
| <a class="reference internal" href="functions.html#property" title="property"><code class="xref py py-func docutils literal notranslate"><span class="pre">property()</span></code></a>.  A regular property blocks attribute writes unless a
 | ||
| setter is defined. In contrast, a <em>cached_property</em> allows writes.</p>
 | ||
| <p>The <em>cached_property</em> decorator only runs on lookups and only when an
 | ||
| attribute of the same name doesn’t exist.  When it does run, the
 | ||
| <em>cached_property</em> writes to the attribute with the same name. Subsequent
 | ||
| attribute reads and writes take precedence over the <em>cached_property</em>
 | ||
| method and it works like a normal attribute.</p>
 | ||
| <p>The cached value can be cleared by deleting the attribute.  This
 | ||
| allows the <em>cached_property</em> method to run again.</p>
 | ||
| <p>The <em>cached_property</em> does not prevent a possible race condition in
 | ||
| multi-threaded usage. The getter function could run more than once on the
 | ||
| same instance, with the latest run setting the cached value. If the cached
 | ||
| property is idempotent or otherwise not harmful to run more than once on an
 | ||
| instance, this is fine. If synchronization is needed, implement the necessary
 | ||
| locking inside the decorated getter function or around the cached property
 | ||
| access.</p>
 | ||
| <p>Note, this decorator interferes with the operation of <span class="target" id="index-0"></span><a class="pep reference external" href="https://peps.python.org/pep-0412/"><strong>PEP 412</strong></a>
 | ||
| key-sharing dictionaries.  This means that instance dictionaries
 | ||
| can take more space than usual.</p>
 | ||
| <p>Also, this decorator requires that the <code class="docutils literal notranslate"><span class="pre">__dict__</span></code> attribute on each instance
 | ||
| be a mutable mapping. This means it will not work with some types, such as
 | ||
| metaclasses (since the <code class="docutils literal notranslate"><span class="pre">__dict__</span></code> attributes on type instances are
 | ||
| read-only proxies for the class namespace), and those that specify
 | ||
| <code class="docutils literal notranslate"><span class="pre">__slots__</span></code> without including <code class="docutils literal notranslate"><span class="pre">__dict__</span></code> as one of the defined slots
 | ||
| (as such classes don’t provide a <code class="docutils literal notranslate"><span class="pre">__dict__</span></code> attribute at all).</p>
 | ||
| <p>If a mutable mapping is not available or if space-efficient key sharing is
 | ||
| desired, an effect similar to <a class="reference internal" href="#functools.cached_property" title="functools.cached_property"><code class="xref py py-func docutils literal notranslate"><span class="pre">cached_property()</span></code></a> can also be achieved by
 | ||
| stacking <a class="reference internal" href="functions.html#property" title="property"><code class="xref py py-func docutils literal notranslate"><span class="pre">property()</span></code></a> on top of <a class="reference internal" href="#functools.lru_cache" title="functools.lru_cache"><code class="xref py py-func docutils literal notranslate"><span class="pre">lru_cache()</span></code></a>. See
 | ||
| <a class="reference internal" href="../faq/programming.html#faq-cache-method-calls"><span class="std std-ref">How do I cache method calls?</span></a> for more details on how this differs from <a class="reference internal" href="#functools.cached_property" title="functools.cached_property"><code class="xref py py-func docutils literal notranslate"><span class="pre">cached_property()</span></code></a>.</p>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.8.</span></p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.12: </span>Prior to Python 3.12, <code class="docutils literal notranslate"><span class="pre">cached_property</span></code> included an undocumented lock to
 | ||
| ensure that in multi-threaded usage the getter function was guaranteed to
 | ||
| run only once per instance. However, the lock was per-property, not
 | ||
| per-instance, which could result in unacceptably high lock contention. In
 | ||
| Python 3.12+ this locking is removed.</p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.cmp_to_key">
 | ||
| <span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">cmp_to_key</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">func</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.cmp_to_key" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Transform an old-style comparison function to a <a class="reference internal" href="../glossary.html#term-key-function"><span class="xref std std-term">key function</span></a>.  Used
 | ||
| with tools that accept key functions (such as <a class="reference internal" href="functions.html#sorted" title="sorted"><code class="xref py py-func docutils literal notranslate"><span class="pre">sorted()</span></code></a>, <a class="reference internal" href="functions.html#min" title="min"><code class="xref py py-func docutils literal notranslate"><span class="pre">min()</span></code></a>,
 | ||
| <a class="reference internal" href="functions.html#max" title="max"><code class="xref py py-func docutils literal notranslate"><span class="pre">max()</span></code></a>, <a class="reference internal" href="heapq.html#heapq.nlargest" title="heapq.nlargest"><code class="xref py py-func docutils literal notranslate"><span class="pre">heapq.nlargest()</span></code></a>, <a class="reference internal" href="heapq.html#heapq.nsmallest" title="heapq.nsmallest"><code class="xref py py-func docutils literal notranslate"><span class="pre">heapq.nsmallest()</span></code></a>,
 | ||
| <a class="reference internal" href="itertools.html#itertools.groupby" title="itertools.groupby"><code class="xref py py-func docutils literal notranslate"><span class="pre">itertools.groupby()</span></code></a>).  This function is primarily used as a transition
 | ||
| tool for programs being converted from Python 2 which supported the use of
 | ||
| comparison functions.</p>
 | ||
| <p>A comparison function is any callable that accepts two arguments, compares them,
 | ||
| and returns a negative number for less-than, zero for equality, or a positive
 | ||
| number for greater-than.  A key function is a callable that accepts one
 | ||
| argument and returns another value to be used as the sort key.</p>
 | ||
| <p>Example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nb">sorted</span><span class="p">(</span><span class="n">iterable</span><span class="p">,</span> <span class="n">key</span><span class="o">=</span><span class="n">cmp_to_key</span><span class="p">(</span><span class="n">locale</span><span class="o">.</span><span class="n">strcoll</span><span class="p">))</span>  <span class="c1"># locale-aware sort order</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>For sorting examples and a brief sorting tutorial, see <a class="reference internal" href="../howto/sorting.html#sortinghowto"><span class="std std-ref">Sorting Techniques</span></a>.</p>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.2.</span></p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.lru_cache">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">lru_cache</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">user_function</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.lru_cache" title="Link to this definition">¶</a></dt>
 | ||
| <dt class="sig sig-object py">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">lru_cache</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">maxsize</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">128</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">typed</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">False</span></span></em><span class="sig-paren">)</span></dt>
 | ||
| <dd><p>Decorator to wrap a function with a memoizing callable that saves up to the
 | ||
| <em>maxsize</em> most recent calls.  It can save time when an expensive or I/O bound
 | ||
| function is periodically called with the same arguments.</p>
 | ||
| <p>The cache is threadsafe so that the wrapped function can be used in
 | ||
| multiple threads.  This means that the underlying data structure will
 | ||
| remain coherent during concurrent updates.</p>
 | ||
| <p>It is possible for the wrapped function to be called more than once if
 | ||
| another thread makes an additional call before the initial call has been
 | ||
| completed and cached.</p>
 | ||
| <p>Since a dictionary is used to cache results, the positional and keyword
 | ||
| arguments to the function must be <a class="reference internal" href="../glossary.html#term-hashable"><span class="xref std std-term">hashable</span></a>.</p>
 | ||
| <p>Distinct argument patterns may be considered to be distinct calls with
 | ||
| separate cache entries.  For example, <code class="docutils literal notranslate"><span class="pre">f(a=1,</span> <span class="pre">b=2)</span></code> and <code class="docutils literal notranslate"><span class="pre">f(b=2,</span> <span class="pre">a=1)</span></code>
 | ||
| differ in their keyword argument order and may have two separate cache
 | ||
| entries.</p>
 | ||
| <p>If <em>user_function</em> is specified, it must be a callable. This allows the
 | ||
| <em>lru_cache</em> decorator to be applied directly to a user function, leaving
 | ||
| the <em>maxsize</em> at its default value of 128:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nd">@lru_cache</span>
 | ||
| <span class="k">def</span><span class="w"> </span><span class="nf">count_vowels</span><span class="p">(</span><span class="n">sentence</span><span class="p">):</span>
 | ||
|     <span class="k">return</span> <span class="nb">sum</span><span class="p">(</span><span class="n">sentence</span><span class="o">.</span><span class="n">count</span><span class="p">(</span><span class="n">vowel</span><span class="p">)</span> <span class="k">for</span> <span class="n">vowel</span> <span class="ow">in</span> <span class="s1">'AEIOUaeiou'</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>If <em>maxsize</em> is set to <code class="docutils literal notranslate"><span class="pre">None</span></code>, the LRU feature is disabled and the cache can
 | ||
| grow without bound.</p>
 | ||
| <p>If <em>typed</em> is set to true, function arguments of different types will be
 | ||
| cached separately.  If <em>typed</em> is false, the implementation will usually
 | ||
| regard them as equivalent calls and only cache a single result. (Some
 | ||
| types such as <em>str</em> and <em>int</em> may be cached separately even when <em>typed</em>
 | ||
| is false.)</p>
 | ||
| <p>Note, type specificity applies only to the function’s immediate arguments
 | ||
| rather than their contents.  The scalar arguments, <code class="docutils literal notranslate"><span class="pre">Decimal(42)</span></code> and
 | ||
| <code class="docutils literal notranslate"><span class="pre">Fraction(42)</span></code> are be treated as distinct calls with distinct results.
 | ||
| In contrast, the tuple arguments <code class="docutils literal notranslate"><span class="pre">('answer',</span> <span class="pre">Decimal(42))</span></code> and
 | ||
| <code class="docutils literal notranslate"><span class="pre">('answer',</span> <span class="pre">Fraction(42))</span></code> are treated as equivalent.</p>
 | ||
| <p>The wrapped function is instrumented with a <code class="xref py py-func docutils literal notranslate"><span class="pre">cache_parameters()</span></code>
 | ||
| function that returns a new <a class="reference internal" href="stdtypes.html#dict" title="dict"><code class="xref py py-class docutils literal notranslate"><span class="pre">dict</span></code></a> showing the values for <em>maxsize</em>
 | ||
| and <em>typed</em>.  This is for information purposes only.  Mutating the values
 | ||
| has no effect.</p>
 | ||
| <p>To help measure the effectiveness of the cache and tune the <em>maxsize</em>
 | ||
| parameter, the wrapped function is instrumented with a <code class="xref py py-func docutils literal notranslate"><span class="pre">cache_info()</span></code>
 | ||
| function that returns a <a class="reference internal" href="../glossary.html#term-named-tuple"><span class="xref std std-term">named tuple</span></a> showing <em>hits</em>, <em>misses</em>,
 | ||
| <em>maxsize</em> and <em>currsize</em>.</p>
 | ||
| <p>The decorator also provides a <code class="xref py py-func docutils literal notranslate"><span class="pre">cache_clear()</span></code> function for clearing or
 | ||
| invalidating the cache.</p>
 | ||
| <p>The original underlying function is accessible through the
 | ||
| <code class="xref py py-attr docutils literal notranslate"><span class="pre">__wrapped__</span></code> attribute.  This is useful for introspection, for
 | ||
| bypassing the cache, or for rewrapping the function with a different cache.</p>
 | ||
| <p>The cache keeps references to the arguments and return values until they age
 | ||
| out of the cache or until the cache is cleared.</p>
 | ||
| <p>If a method is cached, the <code class="docutils literal notranslate"><span class="pre">self</span></code> instance argument is included in the
 | ||
| cache.  See <a class="reference internal" href="../faq/programming.html#faq-cache-method-calls"><span class="std std-ref">How do I cache method calls?</span></a></p>
 | ||
| <p>An <a class="reference external" href="https://en.wikipedia.org/wiki/Cache_replacement_policies#Least_Recently_Used_(LRU)">LRU (least recently used) cache</a>
 | ||
| works best when the most recent calls are the best predictors of upcoming
 | ||
| calls (for example, the most popular articles on a news server tend to
 | ||
| change each day).  The cache’s size limit assures that the cache does not
 | ||
| grow without bound on long-running processes such as web servers.</p>
 | ||
| <p>In general, the LRU cache should only be used when you want to reuse
 | ||
| previously computed values.  Accordingly, it doesn’t make sense to cache
 | ||
| functions with side-effects, functions that need to create
 | ||
| distinct mutable objects on each call (such as generators and async functions),
 | ||
| or impure functions such as time() or random().</p>
 | ||
| <p>Example of an LRU cache for static web content:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nd">@lru_cache</span><span class="p">(</span><span class="n">maxsize</span><span class="o">=</span><span class="mi">32</span><span class="p">)</span>
 | ||
| <span class="k">def</span><span class="w"> </span><span class="nf">get_pep</span><span class="p">(</span><span class="n">num</span><span class="p">):</span>
 | ||
|     <span class="s1">'Retrieve text of a Python Enhancement Proposal'</span>
 | ||
|     <span class="n">resource</span> <span class="o">=</span> <span class="sa">f</span><span class="s1">'https://peps.python.org/pep-</span><span class="si">{</span><span class="n">num</span><span class="si">:</span><span class="s1">04d</span><span class="si">}</span><span class="s1">'</span>
 | ||
|     <span class="k">try</span><span class="p">:</span>
 | ||
|         <span class="k">with</span> <span class="n">urllib</span><span class="o">.</span><span class="n">request</span><span class="o">.</span><span class="n">urlopen</span><span class="p">(</span><span class="n">resource</span><span class="p">)</span> <span class="k">as</span> <span class="n">s</span><span class="p">:</span>
 | ||
|             <span class="k">return</span> <span class="n">s</span><span class="o">.</span><span class="n">read</span><span class="p">()</span>
 | ||
|     <span class="k">except</span> <span class="n">urllib</span><span class="o">.</span><span class="n">error</span><span class="o">.</span><span class="n">HTTPError</span><span class="p">:</span>
 | ||
|         <span class="k">return</span> <span class="s1">'Not Found'</span>
 | ||
| 
 | ||
| <span class="o">>>></span> <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">290</span><span class="p">,</span> <span class="mi">308</span><span class="p">,</span> <span class="mi">320</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">218</span><span class="p">,</span> <span class="mi">320</span><span class="p">,</span> <span class="mi">279</span><span class="p">,</span> <span class="mi">289</span><span class="p">,</span> <span class="mi">320</span><span class="p">,</span> <span class="mi">9991</span><span class="p">:</span>
 | ||
| <span class="o">...</span>     <span class="n">pep</span> <span class="o">=</span> <span class="n">get_pep</span><span class="p">(</span><span class="n">n</span><span class="p">)</span>
 | ||
| <span class="o">...</span>     <span class="nb">print</span><span class="p">(</span><span class="n">n</span><span class="p">,</span> <span class="nb">len</span><span class="p">(</span><span class="n">pep</span><span class="p">))</span>
 | ||
| 
 | ||
| <span class="o">>>></span> <span class="n">get_pep</span><span class="o">.</span><span class="n">cache_info</span><span class="p">()</span>
 | ||
| <span class="n">CacheInfo</span><span class="p">(</span><span class="n">hits</span><span class="o">=</span><span class="mi">3</span><span class="p">,</span> <span class="n">misses</span><span class="o">=</span><span class="mi">8</span><span class="p">,</span> <span class="n">maxsize</span><span class="o">=</span><span class="mi">32</span><span class="p">,</span> <span class="n">currsize</span><span class="o">=</span><span class="mi">8</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>Example of efficiently computing
 | ||
| <a class="reference external" href="https://en.wikipedia.org/wiki/Fibonacci_number">Fibonacci numbers</a>
 | ||
| using a cache to implement a
 | ||
| <a class="reference external" href="https://en.wikipedia.org/wiki/Dynamic_programming">dynamic programming</a>
 | ||
| technique:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nd">@lru_cache</span><span class="p">(</span><span class="n">maxsize</span><span class="o">=</span><span class="kc">None</span><span class="p">)</span>
 | ||
| <span class="k">def</span><span class="w"> </span><span class="nf">fib</span><span class="p">(</span><span class="n">n</span><span class="p">):</span>
 | ||
|     <span class="k">if</span> <span class="n">n</span> <span class="o"><</span> <span class="mi">2</span><span class="p">:</span>
 | ||
|         <span class="k">return</span> <span class="n">n</span>
 | ||
|     <span class="k">return</span> <span class="n">fib</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span> <span class="o">+</span> <span class="n">fib</span><span class="p">(</span><span class="n">n</span><span class="o">-</span><span class="mi">2</span><span class="p">)</span>
 | ||
| 
 | ||
| <span class="o">>>></span> <span class="p">[</span><span class="n">fib</span><span class="p">(</span><span class="n">n</span><span class="p">)</span> <span class="k">for</span> <span class="n">n</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">16</span><span class="p">)]</span>
 | ||
| <span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">13</span><span class="p">,</span> <span class="mi">21</span><span class="p">,</span> <span class="mi">34</span><span class="p">,</span> <span class="mi">55</span><span class="p">,</span> <span class="mi">89</span><span class="p">,</span> <span class="mi">144</span><span class="p">,</span> <span class="mi">233</span><span class="p">,</span> <span class="mi">377</span><span class="p">,</span> <span class="mi">610</span><span class="p">]</span>
 | ||
| 
 | ||
| <span class="o">>>></span> <span class="n">fib</span><span class="o">.</span><span class="n">cache_info</span><span class="p">()</span>
 | ||
| <span class="n">CacheInfo</span><span class="p">(</span><span class="n">hits</span><span class="o">=</span><span class="mi">28</span><span class="p">,</span> <span class="n">misses</span><span class="o">=</span><span class="mi">16</span><span class="p">,</span> <span class="n">maxsize</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">currsize</span><span class="o">=</span><span class="mi">16</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.2.</span></p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.3: </span>Added the <em>typed</em> option.</p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.8: </span>Added the <em>user_function</em> option.</p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.9: </span>Added the function <code class="xref py py-func docutils literal notranslate"><span class="pre">cache_parameters()</span></code></p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.total_ordering">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">total_ordering</span></span><a class="headerlink" href="#functools.total_ordering" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Given a class defining one or more rich comparison ordering methods, this
 | ||
| class decorator supplies the rest.  This simplifies the effort involved
 | ||
| in specifying all of the possible rich comparison operations:</p>
 | ||
| <p>The class must define one of <code class="xref py py-meth docutils literal notranslate"><span class="pre">__lt__()</span></code>, <code class="xref py py-meth docutils literal notranslate"><span class="pre">__le__()</span></code>,
 | ||
| <code class="xref py py-meth docutils literal notranslate"><span class="pre">__gt__()</span></code>, or <code class="xref py py-meth docutils literal notranslate"><span class="pre">__ge__()</span></code>.
 | ||
| In addition, the class should supply an <code class="xref py py-meth docutils literal notranslate"><span class="pre">__eq__()</span></code> method.</p>
 | ||
| <p>For example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="nd">@total_ordering</span>
 | ||
| <span class="k">class</span><span class="w"> </span><span class="nc">Student</span><span class="p">:</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">_is_valid_operand</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="p">(</span><span class="nb">hasattr</span><span class="p">(</span><span class="n">other</span><span class="p">,</span> <span class="s2">"lastname"</span><span class="p">)</span> <span class="ow">and</span>
 | ||
|                 <span class="nb">hasattr</span><span class="p">(</span><span class="n">other</span><span class="p">,</span> <span class="s2">"firstname"</span><span class="p">))</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="fm">__eq__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
 | ||
|         <span class="k">if</span> <span class="ow">not</span> <span class="bp">self</span><span class="o">.</span><span class="n">_is_valid_operand</span><span class="p">(</span><span class="n">other</span><span class="p">):</span>
 | ||
|             <span class="k">return</span> <span class="bp">NotImplemented</span>
 | ||
|         <span class="k">return</span> <span class="p">((</span><span class="bp">self</span><span class="o">.</span><span class="n">lastname</span><span class="o">.</span><span class="n">lower</span><span class="p">(),</span> <span class="bp">self</span><span class="o">.</span><span class="n">firstname</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span> <span class="o">==</span>
 | ||
|                 <span class="p">(</span><span class="n">other</span><span class="o">.</span><span class="n">lastname</span><span class="o">.</span><span class="n">lower</span><span class="p">(),</span> <span class="n">other</span><span class="o">.</span><span class="n">firstname</span><span class="o">.</span><span class="n">lower</span><span class="p">()))</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="fm">__lt__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span>
 | ||
|         <span class="k">if</span> <span class="ow">not</span> <span class="bp">self</span><span class="o">.</span><span class="n">_is_valid_operand</span><span class="p">(</span><span class="n">other</span><span class="p">):</span>
 | ||
|             <span class="k">return</span> <span class="bp">NotImplemented</span>
 | ||
|         <span class="k">return</span> <span class="p">((</span><span class="bp">self</span><span class="o">.</span><span class="n">lastname</span><span class="o">.</span><span class="n">lower</span><span class="p">(),</span> <span class="bp">self</span><span class="o">.</span><span class="n">firstname</span><span class="o">.</span><span class="n">lower</span><span class="p">())</span> <span class="o"><</span>
 | ||
|                 <span class="p">(</span><span class="n">other</span><span class="o">.</span><span class="n">lastname</span><span class="o">.</span><span class="n">lower</span><span class="p">(),</span> <span class="n">other</span><span class="o">.</span><span class="n">firstname</span><span class="o">.</span><span class="n">lower</span><span class="p">()))</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <div class="admonition note">
 | ||
| <p class="admonition-title">Note</p>
 | ||
| <p>While this decorator makes it easy to create well behaved totally
 | ||
| ordered types, it <em>does</em> come at the cost of slower execution and
 | ||
| more complex stack traces for the derived comparison methods. If
 | ||
| performance benchmarking indicates this is a bottleneck for a given
 | ||
| application, implementing all six rich comparison methods instead is
 | ||
| likely to provide an easy speed boost.</p>
 | ||
| </div>
 | ||
| <div class="admonition note">
 | ||
| <p class="admonition-title">Note</p>
 | ||
| <p>This decorator makes no attempt to override methods that have been
 | ||
| declared in the class <em>or its superclasses</em>. Meaning that if a
 | ||
| superclass defines a comparison operator, <em>total_ordering</em> will not
 | ||
| implement it again, even if the original method is abstract.</p>
 | ||
| </div>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.2.</span></p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.4: </span>Returning <code class="docutils literal notranslate"><span class="pre">NotImplemented</span></code> from the underlying comparison function for
 | ||
| unrecognised types is now supported.</p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.partial">
 | ||
| <span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">partial</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">func</span></span></em>, <em class="sig-param"><span class="positional-only-separator o"><abbr title="Positional-only parameter separator (PEP 570)"><span class="pre">/</span></abbr></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">keywords</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.partial" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Return a new <a class="reference internal" href="#partial-objects"><span class="std std-ref">partial object</span></a> which when called
 | ||
| will behave like <em>func</em> called with the positional arguments <em>args</em>
 | ||
| and keyword arguments <em>keywords</em>. If more arguments are supplied to the
 | ||
| call, they are appended to <em>args</em>. If additional keyword arguments are
 | ||
| supplied, they extend and override <em>keywords</em>.
 | ||
| Roughly equivalent to:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="k">def</span><span class="w"> </span><span class="nf">partial</span><span class="p">(</span><span class="n">func</span><span class="p">,</span> <span class="o">/</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">keywords</span><span class="p">):</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">newfunc</span><span class="p">(</span><span class="o">*</span><span class="n">fargs</span><span class="p">,</span> <span class="o">**</span><span class="n">fkeywords</span><span class="p">):</span>
 | ||
|         <span class="n">newkeywords</span> <span class="o">=</span> <span class="p">{</span><span class="o">**</span><span class="n">keywords</span><span class="p">,</span> <span class="o">**</span><span class="n">fkeywords</span><span class="p">}</span>
 | ||
|         <span class="k">return</span> <span class="n">func</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">*</span><span class="n">fargs</span><span class="p">,</span> <span class="o">**</span><span class="n">newkeywords</span><span class="p">)</span>
 | ||
|     <span class="n">newfunc</span><span class="o">.</span><span class="n">func</span> <span class="o">=</span> <span class="n">func</span>
 | ||
|     <span class="n">newfunc</span><span class="o">.</span><span class="n">args</span> <span class="o">=</span> <span class="n">args</span>
 | ||
|     <span class="n">newfunc</span><span class="o">.</span><span class="n">keywords</span> <span class="o">=</span> <span class="n">keywords</span>
 | ||
|     <span class="k">return</span> <span class="n">newfunc</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>The <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-func docutils literal notranslate"><span class="pre">partial()</span></code></a> is used for partial function application which “freezes”
 | ||
| some portion of a function’s arguments and/or keywords resulting in a new object
 | ||
| with a simplified signature.  For example, <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-func docutils literal notranslate"><span class="pre">partial()</span></code></a> can be used to create
 | ||
| a callable that behaves like the <a class="reference internal" href="functions.html#int" title="int"><code class="xref py py-func docutils literal notranslate"><span class="pre">int()</span></code></a> function where the <em>base</em> argument
 | ||
| defaults to two:</p>
 | ||
| <div class="doctest highlight-default notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="kn">from</span><span class="w"> </span><span class="nn">functools</span><span class="w"> </span><span class="kn">import</span> <span class="n">partial</span>
 | ||
| <span class="gp">>>> </span><span class="n">basetwo</span> <span class="o">=</span> <span class="n">partial</span><span class="p">(</span><span class="nb">int</span><span class="p">,</span> <span class="n">base</span><span class="o">=</span><span class="mi">2</span><span class="p">)</span>
 | ||
| <span class="gp">>>> </span><span class="n">basetwo</span><span class="o">.</span><span class="vm">__doc__</span> <span class="o">=</span> <span class="s1">'Convert base 2 string to an int.'</span>
 | ||
| <span class="gp">>>> </span><span class="n">basetwo</span><span class="p">(</span><span class="s1">'10010'</span><span class="p">)</span>
 | ||
| <span class="go">18</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py class">
 | ||
| <dt class="sig sig-object py" id="functools.partialmethod">
 | ||
| <em class="property"><span class="k"><span class="pre">class</span></span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">partialmethod</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">func</span></span></em>, <em class="sig-param"><span class="positional-only-separator o"><abbr title="Positional-only parameter separator (PEP 570)"><span class="pre">/</span></abbr></span></em>, <em class="sig-param"><span class="o"><span class="pre">*</span></span><span class="n"><span class="pre">args</span></span></em>, <em class="sig-param"><span class="o"><span class="pre">**</span></span><span class="n"><span class="pre">keywords</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.partialmethod" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Return a new <a class="reference internal" href="#functools.partialmethod" title="functools.partialmethod"><code class="xref py py-class docutils literal notranslate"><span class="pre">partialmethod</span></code></a> descriptor which behaves
 | ||
| like <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> except that it is designed to be used as a method
 | ||
| definition rather than being directly callable.</p>
 | ||
| <p><em>func</em> must be a <a class="reference internal" href="../glossary.html#term-descriptor"><span class="xref std std-term">descriptor</span></a> or a callable (objects which are both,
 | ||
| like normal functions, are handled as descriptors).</p>
 | ||
| <p>When <em>func</em> is a descriptor (such as a normal Python function,
 | ||
| <a class="reference internal" href="functions.html#classmethod" title="classmethod"><code class="xref py py-func docutils literal notranslate"><span class="pre">classmethod()</span></code></a>, <a class="reference internal" href="functions.html#staticmethod" title="staticmethod"><code class="xref py py-func docutils literal notranslate"><span class="pre">staticmethod()</span></code></a>, <code class="xref py py-func docutils literal notranslate"><span class="pre">abstractmethod()</span></code> or
 | ||
| another instance of <a class="reference internal" href="#functools.partialmethod" title="functools.partialmethod"><code class="xref py py-class docutils literal notranslate"><span class="pre">partialmethod</span></code></a>), calls to <code class="docutils literal notranslate"><span class="pre">__get__</span></code> are
 | ||
| delegated to the underlying descriptor, and an appropriate
 | ||
| <a class="reference internal" href="#partial-objects"><span class="std std-ref">partial object</span></a> returned as the result.</p>
 | ||
| <p>When <em>func</em> is a non-descriptor callable, an appropriate bound method is
 | ||
| created dynamically. This behaves like a normal Python function when
 | ||
| used as a method: the <em>self</em> argument will be inserted as the first
 | ||
| positional argument, even before the <em>args</em> and <em>keywords</em> supplied to
 | ||
| the <a class="reference internal" href="#functools.partialmethod" title="functools.partialmethod"><code class="xref py py-class docutils literal notranslate"><span class="pre">partialmethod</span></code></a> constructor.</p>
 | ||
| <p>Example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="k">class</span><span class="w"> </span><span class="nc">Cell</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>    <span class="k">def</span><span class="w"> </span><span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="bp">self</span><span class="o">.</span><span class="n">_alive</span> <span class="o">=</span> <span class="kc">False</span>
 | ||
| <span class="gp">... </span>    <span class="nd">@property</span>
 | ||
| <span class="gp">... </span>    <span class="k">def</span><span class="w"> </span><span class="nf">alive</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_alive</span>
 | ||
| <span class="gp">... </span>    <span class="k">def</span><span class="w"> </span><span class="nf">set_state</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">state</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="bp">self</span><span class="o">.</span><span class="n">_alive</span> <span class="o">=</span> <span class="nb">bool</span><span class="p">(</span><span class="n">state</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="n">set_alive</span> <span class="o">=</span> <span class="n">partialmethod</span><span class="p">(</span><span class="n">set_state</span><span class="p">,</span> <span class="kc">True</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="n">set_dead</span> <span class="o">=</span> <span class="n">partialmethod</span><span class="p">(</span><span class="n">set_state</span><span class="p">,</span> <span class="kc">False</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="n">c</span> <span class="o">=</span> <span class="n">Cell</span><span class="p">()</span>
 | ||
| <span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">alive</span>
 | ||
| <span class="go">False</span>
 | ||
| <span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">set_alive</span><span class="p">()</span>
 | ||
| <span class="gp">>>> </span><span class="n">c</span><span class="o">.</span><span class="n">alive</span>
 | ||
| <span class="go">True</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.4.</span></p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.reduce">
 | ||
| <span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">reduce</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">function</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">iterable</span></span></em>, <span class="optional">[</span><em class="sig-param"><span class="n"><span class="pre">initial</span></span></em>, <span class="optional">]</span><em class="sig-param"><span class="n"><span class="pre">/</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.reduce" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Apply <em>function</em> of two arguments cumulatively to the items of <em>iterable</em>, from
 | ||
| left to right, so as to reduce the iterable to a single value.  For example,
 | ||
| <code class="docutils literal notranslate"><span class="pre">reduce(lambda</span> <span class="pre">x,</span> <span class="pre">y:</span> <span class="pre">x+y,</span> <span class="pre">[1,</span> <span class="pre">2,</span> <span class="pre">3,</span> <span class="pre">4,</span> <span class="pre">5])</span></code> calculates <code class="docutils literal notranslate"><span class="pre">((((1+2)+3)+4)+5)</span></code>.
 | ||
| The left argument, <em>x</em>, is the accumulated value and the right argument, <em>y</em>, is
 | ||
| the update value from the <em>iterable</em>.  If the optional <em>initial</em> is present,
 | ||
| it is placed before the items of the iterable in the calculation, and serves as
 | ||
| a default when the iterable is empty.  If <em>initial</em> is not given and
 | ||
| <em>iterable</em> contains only one item, the first item is returned.</p>
 | ||
| <p>Roughly equivalent to:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="n">initial_missing</span> <span class="o">=</span> <span class="nb">object</span><span class="p">()</span>
 | ||
| 
 | ||
| <span class="k">def</span><span class="w"> </span><span class="nf">reduce</span><span class="p">(</span><span class="n">function</span><span class="p">,</span> <span class="n">iterable</span><span class="p">,</span> <span class="n">initial</span><span class="o">=</span><span class="n">initial_missing</span><span class="p">,</span> <span class="o">/</span><span class="p">):</span>
 | ||
|     <span class="n">it</span> <span class="o">=</span> <span class="nb">iter</span><span class="p">(</span><span class="n">iterable</span><span class="p">)</span>
 | ||
|     <span class="k">if</span> <span class="n">initial</span> <span class="ow">is</span> <span class="n">initial_missing</span><span class="p">:</span>
 | ||
|         <span class="n">value</span> <span class="o">=</span> <span class="nb">next</span><span class="p">(</span><span class="n">it</span><span class="p">)</span>
 | ||
|     <span class="k">else</span><span class="p">:</span>
 | ||
|         <span class="n">value</span> <span class="o">=</span> <span class="n">initial</span>
 | ||
|     <span class="k">for</span> <span class="n">element</span> <span class="ow">in</span> <span class="n">it</span><span class="p">:</span>
 | ||
|         <span class="n">value</span> <span class="o">=</span> <span class="n">function</span><span class="p">(</span><span class="n">value</span><span class="p">,</span> <span class="n">element</span><span class="p">)</span>
 | ||
|     <span class="k">return</span> <span class="n">value</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>See <a class="reference internal" href="itertools.html#itertools.accumulate" title="itertools.accumulate"><code class="xref py py-func docutils literal notranslate"><span class="pre">itertools.accumulate()</span></code></a> for an iterator that yields all intermediate
 | ||
| values.</p>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.singledispatch">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">singledispatch</span></span><a class="headerlink" href="#functools.singledispatch" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Transform a function into a <a class="reference internal" href="../glossary.html#term-single-dispatch"><span class="xref std std-term">single-dispatch</span></a> <a class="reference internal" href="../glossary.html#term-generic-function"><span class="xref std std-term">generic function</span></a>.</p>
 | ||
| <p>To define a generic function, decorate it with the <code class="docutils literal notranslate"><span class="pre">@singledispatch</span></code>
 | ||
| decorator. When defining a function using <code class="docutils literal notranslate"><span class="pre">@singledispatch</span></code>, note that the
 | ||
| dispatch happens on the type of the first argument:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="kn">from</span><span class="w"> </span><span class="nn">functools</span><span class="w"> </span><span class="kn">import</span> <span class="n">singledispatch</span>
 | ||
| <span class="gp">>>> </span><span class="nd">@singledispatch</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">fun</span><span class="p">(</span><span class="n">arg</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Let me just say,"</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s2">" "</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="n">arg</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>To add overloaded implementations to the function, use the <code class="xref py py-func docutils literal notranslate"><span class="pre">register()</span></code>
 | ||
| attribute of the generic function, which can be used as a decorator.  For
 | ||
| functions annotated with types, the decorator will infer the type of the
 | ||
| first argument automatically:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Strength in numbers, eh?"</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s2">" "</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="n">arg</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="nb">list</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Enumerate this:"</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">elem</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">arg</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">elem</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p><a class="reference internal" href="types.html#types.UnionType" title="types.UnionType"><code class="xref py py-data docutils literal notranslate"><span class="pre">types.UnionType</span></code></a> and <a class="reference internal" href="typing.html#typing.Union" title="typing.Union"><code class="xref py py-data docutils literal notranslate"><span class="pre">typing.Union</span></code></a> can also be used:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="nb">int</span> <span class="o">|</span> <span class="nb">float</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Strength in numbers, eh?"</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s2">" "</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="n">arg</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="kn">from</span><span class="w"> </span><span class="nn">typing</span><span class="w"> </span><span class="kn">import</span> <span class="n">Union</span>
 | ||
| <span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="n">Union</span><span class="p">[</span><span class="nb">list</span><span class="p">,</span> <span class="nb">set</span><span class="p">],</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Enumerate this:"</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">elem</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">arg</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">elem</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>For code which doesn’t use type annotations, the appropriate type
 | ||
| argument can be passed explicitly to the decorator itself:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span><span class="p">(</span><span class="nb">complex</span><span class="p">)</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Better than complicated."</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s2">" "</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="n">arg</span><span class="o">.</span><span class="n">real</span><span class="p">,</span> <span class="n">arg</span><span class="o">.</span><span class="n">imag</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>For code that dispatches on a collections type (e.g., <code class="docutils literal notranslate"><span class="pre">list</span></code>), but wants
 | ||
| to typehint the items of the collection (e.g., <code class="docutils literal notranslate"><span class="pre">list[int]</span></code>), the
 | ||
| dispatch type should be passed explicitly to the decorator itself with the
 | ||
| typehint going into the function definition:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span><span class="p">(</span><span class="nb">list</span><span class="p">)</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">],</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Enumerate this:"</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">elem</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">arg</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="n">i</span><span class="p">,</span> <span class="n">elem</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <div class="admonition note">
 | ||
| <p class="admonition-title">Note</p>
 | ||
| <p>At runtime the function will dispatch on an instance of a list regardless
 | ||
| of the type contained within the list i.e. <code class="docutils literal notranslate"><span class="pre">[1,2,3]</span></code> will be
 | ||
| dispatched the same as <code class="docutils literal notranslate"><span class="pre">["foo",</span> <span class="pre">"bar",</span> <span class="pre">"baz"]</span></code>. The annotation
 | ||
| provided in this example is for static type checkers only and has no
 | ||
| runtime impact.</p>
 | ||
| </div>
 | ||
| <p>To enable registering <a class="reference internal" href="../glossary.html#term-lambda"><span class="xref std std-term">lambdas</span></a> and pre-existing functions,
 | ||
| the <code class="xref py py-func docutils literal notranslate"><span class="pre">register()</span></code> attribute can also be used in a functional form:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="k">def</span><span class="w"> </span><span class="nf">nothing</span><span class="p">(</span><span class="n">arg</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="s2">"Nothing."</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">register</span><span class="p">(</span><span class="nb">type</span><span class="p">(</span><span class="kc">None</span><span class="p">),</span> <span class="n">nothing</span><span class="p">)</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>The <code class="xref py py-func docutils literal notranslate"><span class="pre">register()</span></code> attribute returns the undecorated function. This
 | ||
| enables decorator stacking, <a class="reference internal" href="pickle.html#module-pickle" title="pickle: Convert Python objects to streams of bytes and back."><code class="xref py py-mod docutils literal notranslate"><span class="pre">pickling</span></code></a>, and the creation
 | ||
| of unit tests for each variant independently:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span><span class="p">(</span><span class="nb">float</span><span class="p">)</span>
 | ||
| <span class="gp">... </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span><span class="p">(</span><span class="n">Decimal</span><span class="p">)</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">fun_num</span><span class="p">(</span><span class="n">arg</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Half of your number:"</span><span class="p">,</span> <span class="n">end</span><span class="o">=</span><span class="s2">" "</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="n">arg</span> <span class="o">/</span> <span class="mi">2</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun_num</span> <span class="ow">is</span> <span class="n">fun</span>
 | ||
| <span class="go">False</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>When called, the generic function dispatches on the type of the first
 | ||
| argument:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">fun</span><span class="p">(</span><span class="s2">"Hello, world."</span><span class="p">)</span>
 | ||
| <span class="go">Hello, world.</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">(</span><span class="s2">"test."</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
 | ||
| <span class="go">Let me just say, test.</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">(</span><span class="mi">42</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
 | ||
| <span class="go">Strength in numbers, eh? 42</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">([</span><span class="s1">'spam'</span><span class="p">,</span> <span class="s1">'spam'</span><span class="p">,</span> <span class="s1">'eggs'</span><span class="p">,</span> <span class="s1">'spam'</span><span class="p">],</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">True</span><span class="p">)</span>
 | ||
| <span class="go">Enumerate this:</span>
 | ||
| <span class="go">0 spam</span>
 | ||
| <span class="go">1 spam</span>
 | ||
| <span class="go">2 eggs</span>
 | ||
| <span class="go">3 spam</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">(</span><span class="kc">None</span><span class="p">)</span>
 | ||
| <span class="go">Nothing.</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">(</span><span class="mf">1.23</span><span class="p">)</span>
 | ||
| <span class="go">0.615</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>Where there is no registered implementation for a specific type, its
 | ||
| method resolution order is used to find a more generic implementation.
 | ||
| The original function decorated with <code class="docutils literal notranslate"><span class="pre">@singledispatch</span></code> is registered
 | ||
| for the base <a class="reference internal" href="functions.html#object" title="object"><code class="xref py py-class docutils literal notranslate"><span class="pre">object</span></code></a> type, which means it is used if no better
 | ||
| implementation is found.</p>
 | ||
| <p>If an implementation is registered to an <a class="reference internal" href="../glossary.html#term-abstract-base-class"><span class="xref std std-term">abstract base class</span></a>,
 | ||
| virtual subclasses of the base class will be dispatched to that
 | ||
| implementation:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="kn">from</span><span class="w"> </span><span class="nn">collections.abc</span><span class="w"> </span><span class="kn">import</span> <span class="n">Mapping</span>
 | ||
| <span class="gp">>>> </span><span class="nd">@fun</span><span class="o">.</span><span class="n">register</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="n">arg</span><span class="p">:</span> <span class="n">Mapping</span><span class="p">,</span> <span class="n">verbose</span><span class="o">=</span><span class="kc">False</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="k">if</span> <span class="n">verbose</span><span class="p">:</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s2">"Keys & Values"</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">for</span> <span class="n">key</span><span class="p">,</span> <span class="n">value</span> <span class="ow">in</span> <span class="n">arg</span><span class="o">.</span><span class="n">items</span><span class="p">():</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="n">key</span><span class="p">,</span> <span class="s2">"=>"</span><span class="p">,</span> <span class="n">value</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="p">({</span><span class="s2">"a"</span><span class="p">:</span> <span class="s2">"b"</span><span class="p">})</span>
 | ||
| <span class="go">a => b</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>To check which implementation the generic function will choose for
 | ||
| a given type, use the <code class="docutils literal notranslate"><span class="pre">dispatch()</span></code> attribute:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">dispatch</span><span class="p">(</span><span class="nb">float</span><span class="p">)</span>
 | ||
| <span class="go"><function fun_num at 0x1035a2840></span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">dispatch</span><span class="p">(</span><span class="nb">dict</span><span class="p">)</span>    <span class="c1"># note: default implementation</span>
 | ||
| <span class="go"><function fun at 0x103fe0000></span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>To access all registered implementations, use the read-only <code class="docutils literal notranslate"><span class="pre">registry</span></code>
 | ||
| attribute:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">registry</span><span class="o">.</span><span class="n">keys</span><span class="p">()</span>
 | ||
| <span class="go">dict_keys([<class 'NoneType'>, <class 'int'>, <class 'object'>,</span>
 | ||
| <span class="go">          <class 'decimal.Decimal'>, <class 'list'>,</span>
 | ||
| <span class="go">          <class 'float'>])</span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">registry</span><span class="p">[</span><span class="nb">float</span><span class="p">]</span>
 | ||
| <span class="go"><function fun_num at 0x1035a2840></span>
 | ||
| <span class="gp">>>> </span><span class="n">fun</span><span class="o">.</span><span class="n">registry</span><span class="p">[</span><span class="nb">object</span><span class="p">]</span>
 | ||
| <span class="go"><function fun at 0x103fe0000></span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.4.</span></p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.7: </span>The <code class="xref py py-func docutils literal notranslate"><span class="pre">register()</span></code> attribute now supports using type annotations.</p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.11: </span>The <code class="xref py py-func docutils literal notranslate"><span class="pre">register()</span></code> attribute now supports <a class="reference internal" href="types.html#types.UnionType" title="types.UnionType"><code class="xref py py-data docutils literal notranslate"><span class="pre">types.UnionType</span></code></a>
 | ||
| and <a class="reference internal" href="typing.html#typing.Union" title="typing.Union"><code class="xref py py-data docutils literal notranslate"><span class="pre">typing.Union</span></code></a> as type annotations.</p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py class">
 | ||
| <dt class="sig sig-object py" id="functools.singledispatchmethod">
 | ||
| <em class="property"><span class="k"><span class="pre">class</span></span><span class="w"> </span></em><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">singledispatchmethod</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">func</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.singledispatchmethod" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Transform a method into a <a class="reference internal" href="../glossary.html#term-single-dispatch"><span class="xref std std-term">single-dispatch</span></a> <a class="reference internal" href="../glossary.html#term-generic-function"><span class="xref std std-term">generic function</span></a>.</p>
 | ||
| <p>To define a generic method, decorate it with the <code class="docutils literal notranslate"><span class="pre">@singledispatchmethod</span></code>
 | ||
| decorator. When defining a function using <code class="docutils literal notranslate"><span class="pre">@singledispatchmethod</span></code>, note
 | ||
| that the dispatch happens on the type of the first non-<em>self</em> or non-<em>cls</em>
 | ||
| argument:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="k">class</span><span class="w"> </span><span class="nc">Negator</span><span class="p">:</span>
 | ||
|     <span class="nd">@singledispatchmethod</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">neg</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">arg</span><span class="p">):</span>
 | ||
|         <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="s2">"Cannot negate a"</span><span class="p">)</span>
 | ||
| 
 | ||
|     <span class="nd">@neg</span><span class="o">.</span><span class="n">register</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">arg</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="o">-</span><span class="n">arg</span>
 | ||
| 
 | ||
|     <span class="nd">@neg</span><span class="o">.</span><span class="n">register</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">arg</span><span class="p">:</span> <span class="nb">bool</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="ow">not</span> <span class="n">arg</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p><code class="docutils literal notranslate"><span class="pre">@singledispatchmethod</span></code> supports nesting with other decorators such as
 | ||
| <a class="reference internal" href="functions.html#classmethod" title="classmethod"><code class="xref py py-func docutils literal notranslate"><span class="pre">@classmethod</span></code></a>. Note that to allow for
 | ||
| <code class="docutils literal notranslate"><span class="pre">dispatcher.register</span></code>, <code class="docutils literal notranslate"><span class="pre">singledispatchmethod</span></code> must be the <em>outer most</em>
 | ||
| decorator. Here is the <code class="docutils literal notranslate"><span class="pre">Negator</span></code> class with the <code class="docutils literal notranslate"><span class="pre">neg</span></code> methods bound to
 | ||
| the class, rather than an instance of the class:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="k">class</span><span class="w"> </span><span class="nc">Negator</span><span class="p">:</span>
 | ||
|     <span class="nd">@singledispatchmethod</span>
 | ||
|     <span class="nd">@classmethod</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">neg</span><span class="p">(</span><span class="bp">cls</span><span class="p">,</span> <span class="n">arg</span><span class="p">):</span>
 | ||
|         <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="s2">"Cannot negate a"</span><span class="p">)</span>
 | ||
| 
 | ||
|     <span class="nd">@neg</span><span class="o">.</span><span class="n">register</span>
 | ||
|     <span class="nd">@classmethod</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="bp">cls</span><span class="p">,</span> <span class="n">arg</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="o">-</span><span class="n">arg</span>
 | ||
| 
 | ||
|     <span class="nd">@neg</span><span class="o">.</span><span class="n">register</span>
 | ||
|     <span class="nd">@classmethod</span>
 | ||
|     <span class="k">def</span><span class="w"> </span><span class="nf">_</span><span class="p">(</span><span class="bp">cls</span><span class="p">,</span> <span class="n">arg</span><span class="p">:</span> <span class="nb">bool</span><span class="p">):</span>
 | ||
|         <span class="k">return</span> <span class="ow">not</span> <span class="n">arg</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>The same pattern can be used for other similar decorators:
 | ||
| <a class="reference internal" href="functions.html#staticmethod" title="staticmethod"><code class="xref py py-func docutils literal notranslate"><span class="pre">@staticmethod</span></code></a>,
 | ||
| <a class="reference internal" href="abc.html#abc.abstractmethod" title="abc.abstractmethod"><code class="xref py py-func docutils literal notranslate"><span class="pre">@abstractmethod</span></code></a>, and others.</p>
 | ||
| <div class="versionadded">
 | ||
| <p><span class="versionmodified added">Added in version 3.8.</span></p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.update_wrapper">
 | ||
| <span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">update_wrapper</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">wrapper</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">wrapped</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">assigned</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">WRAPPER_ASSIGNMENTS</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">updated</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">WRAPPER_UPDATES</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.update_wrapper" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>Update a <em>wrapper</em> function to look like the <em>wrapped</em> 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 <code class="docutils literal notranslate"><span class="pre">WRAPPER_ASSIGNMENTS</span></code> (which assigns to the wrapper
 | ||
| function’s <a class="reference internal" href="../reference/datamodel.html#function.__module__" title="function.__module__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__module__</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#function.__name__" title="function.__name__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__name__</span></code></a>,
 | ||
| <a class="reference internal" href="../reference/datamodel.html#function.__qualname__" title="function.__qualname__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__qualname__</span></code></a>, <a class="reference internal" href="../reference/datamodel.html#function.__annotations__" title="function.__annotations__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__annotations__</span></code></a>,
 | ||
| <a class="reference internal" href="../reference/datamodel.html#function.__type_params__" title="function.__type_params__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__type_params__</span></code></a>, and <a class="reference internal" href="../reference/datamodel.html#function.__doc__" title="function.__doc__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__doc__</span></code></a>, the
 | ||
| documentation string) and <code class="docutils literal notranslate"><span class="pre">WRAPPER_UPDATES</span></code> (which updates the wrapper
 | ||
| function’s <a class="reference internal" href="../reference/datamodel.html#function.__dict__" title="function.__dict__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__dict__</span></code></a>, i.e. the instance dictionary).</p>
 | ||
| <p>To allow access to the original function for introspection and other purposes
 | ||
| (e.g. bypassing a caching decorator such as <a class="reference internal" href="#functools.lru_cache" title="functools.lru_cache"><code class="xref py py-func docutils literal notranslate"><span class="pre">lru_cache()</span></code></a>), this function
 | ||
| automatically adds a <code class="docutils literal notranslate"><span class="pre">__wrapped__</span></code> attribute to the wrapper that refers to
 | ||
| the function being wrapped.</p>
 | ||
| <p>The main intended use for this function is in <a class="reference internal" href="../glossary.html#term-decorator"><span class="xref std std-term">decorator</span></a> 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.</p>
 | ||
| <p><a class="reference internal" href="#functools.update_wrapper" title="functools.update_wrapper"><code class="xref py py-func docutils literal notranslate"><span class="pre">update_wrapper()</span></code></a> may be used with callables other than functions. Any
 | ||
| attributes named in <em>assigned</em> or <em>updated</em> that are missing from the object
 | ||
| being wrapped are ignored (i.e. this function will not attempt to set them
 | ||
| on the wrapper function). <a class="reference internal" href="exceptions.html#AttributeError" title="AttributeError"><code class="xref py py-exc docutils literal notranslate"><span class="pre">AttributeError</span></code></a> is still raised if the
 | ||
| wrapper function itself is missing any attributes named in <em>updated</em>.</p>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.2: </span>The <code class="docutils literal notranslate"><span class="pre">__wrapped__</span></code> attribute is now automatically added.
 | ||
| The <a class="reference internal" href="../reference/datamodel.html#function.__annotations__" title="function.__annotations__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__annotations__</span></code></a> attribute is now copied by default.
 | ||
| Missing attributes no longer trigger an <a class="reference internal" href="exceptions.html#AttributeError" title="AttributeError"><code class="xref py py-exc docutils literal notranslate"><span class="pre">AttributeError</span></code></a>.</p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.4: </span>The <code class="docutils literal notranslate"><span class="pre">__wrapped__</span></code> attribute now always refers to the wrapped
 | ||
| function, even if that function defined a <code class="docutils literal notranslate"><span class="pre">__wrapped__</span></code> attribute.
 | ||
| (see <a class="reference external" href="https://bugs.python.org/issue?@action=redirect&bpo=17482">bpo-17482</a>)</p>
 | ||
| </div>
 | ||
| <div class="versionchanged">
 | ||
| <p><span class="versionmodified changed">Changed in version 3.12: </span>The <a class="reference internal" href="../reference/datamodel.html#function.__type_params__" title="function.__type_params__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__type_params__</span></code></a> attribute is now copied by default.</p>
 | ||
| </div>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py function">
 | ||
| <dt class="sig sig-object py" id="functools.wraps">
 | ||
| <span class="sig-prename descclassname"><span class="pre">@</span></span><span class="sig-prename descclassname"><span class="pre">functools.</span></span><span class="sig-name descname"><span class="pre">wraps</span></span><span class="sig-paren">(</span><em class="sig-param"><span class="n"><span class="pre">wrapped</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">assigned</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">WRAPPER_ASSIGNMENTS</span></span></em>, <em class="sig-param"><span class="n"><span class="pre">updated</span></span><span class="o"><span class="pre">=</span></span><span class="default_value"><span class="pre">WRAPPER_UPDATES</span></span></em><span class="sig-paren">)</span><a class="headerlink" href="#functools.wraps" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>This is a convenience function for invoking <a class="reference internal" href="#functools.update_wrapper" title="functools.update_wrapper"><code class="xref py py-func docutils literal notranslate"><span class="pre">update_wrapper()</span></code></a> as a
 | ||
| function decorator when defining a wrapper function.  It is equivalent to
 | ||
| <code class="docutils literal notranslate"><span class="pre">partial(update_wrapper,</span> <span class="pre">wrapped=wrapped,</span> <span class="pre">assigned=assigned,</span> <span class="pre">updated=updated)</span></code>.
 | ||
| For example:</p>
 | ||
| <div class="highlight-python3 notranslate"><div class="highlight"><pre><span></span><span class="gp">>>> </span><span class="kn">from</span><span class="w"> </span><span class="nn">functools</span><span class="w"> </span><span class="kn">import</span> <span class="n">wraps</span>
 | ||
| <span class="gp">>>> </span><span class="k">def</span><span class="w"> </span><span class="nf">my_decorator</span><span class="p">(</span><span class="n">f</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>    <span class="nd">@wraps</span><span class="p">(</span><span class="n">f</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">def</span><span class="w"> </span><span class="nf">wrapper</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwds</span><span class="p">):</span>
 | ||
| <span class="gp">... </span>        <span class="nb">print</span><span class="p">(</span><span class="s1">'Calling decorated function'</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>        <span class="k">return</span> <span class="n">f</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwds</span><span class="p">)</span>
 | ||
| <span class="gp">... </span>    <span class="k">return</span> <span class="n">wrapper</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="nd">@my_decorator</span>
 | ||
| <span class="gp">... </span><span class="k">def</span><span class="w"> </span><span class="nf">example</span><span class="p">():</span>
 | ||
| <span class="gp">... </span><span class="w">    </span><span class="sd">"""Docstring"""</span>
 | ||
| <span class="gp">... </span>    <span class="nb">print</span><span class="p">(</span><span class="s1">'Called example function'</span><span class="p">)</span>
 | ||
| <span class="gp">...</span>
 | ||
| <span class="gp">>>> </span><span class="n">example</span><span class="p">()</span>
 | ||
| <span class="go">Calling decorated function</span>
 | ||
| <span class="go">Called example function</span>
 | ||
| <span class="gp">>>> </span><span class="n">example</span><span class="o">.</span><span class="vm">__name__</span>
 | ||
| <span class="go">'example'</span>
 | ||
| <span class="gp">>>> </span><span class="n">example</span><span class="o">.</span><span class="vm">__doc__</span>
 | ||
| <span class="go">'Docstring'</span>
 | ||
| </pre></div>
 | ||
| </div>
 | ||
| <p>Without the use of this decorator factory, the name of the example function
 | ||
| would have been <code class="docutils literal notranslate"><span class="pre">'wrapper'</span></code>, and the docstring of the original <code class="xref py py-func docutils literal notranslate"><span class="pre">example()</span></code>
 | ||
| would have been lost.</p>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <section id="partial-objects">
 | ||
| <span id="id1"></span><h2><a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> Objects<a class="headerlink" href="#partial-objects" title="Link to this heading">¶</a></h2>
 | ||
| <p><a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> objects are callable objects created by <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-func docutils literal notranslate"><span class="pre">partial()</span></code></a>. They
 | ||
| have three read-only attributes:</p>
 | ||
| <dl class="py attribute">
 | ||
| <dt class="sig sig-object py" id="functools.partial.func">
 | ||
| <span class="sig-prename descclassname"><span class="pre">partial.</span></span><span class="sig-name descname"><span class="pre">func</span></span><a class="headerlink" href="#functools.partial.func" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>A callable object or function.  Calls to the <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> object will be
 | ||
| forwarded to <a class="reference internal" href="#functools.partial.func" title="functools.partial.func"><code class="xref py py-attr docutils literal notranslate"><span class="pre">func</span></code></a> with new arguments and keywords.</p>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py attribute">
 | ||
| <dt class="sig sig-object py" id="functools.partial.args">
 | ||
| <span class="sig-prename descclassname"><span class="pre">partial.</span></span><span class="sig-name descname"><span class="pre">args</span></span><a class="headerlink" href="#functools.partial.args" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>The leftmost positional arguments that will be prepended to the positional
 | ||
| arguments provided to a <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> object call.</p>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <dl class="py attribute">
 | ||
| <dt class="sig sig-object py" id="functools.partial.keywords">
 | ||
| <span class="sig-prename descclassname"><span class="pre">partial.</span></span><span class="sig-name descname"><span class="pre">keywords</span></span><a class="headerlink" href="#functools.partial.keywords" title="Link to this definition">¶</a></dt>
 | ||
| <dd><p>The keyword arguments that will be supplied when the <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> object is
 | ||
| called.</p>
 | ||
| </dd></dl>
 | ||
| 
 | ||
| <p><a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> objects are like <a class="reference internal" href="../reference/datamodel.html#user-defined-funcs"><span class="std std-ref">function objects</span></a>
 | ||
| in that they are callable, weak referenceable, and can have attributes.
 | ||
| There are some important differences.  For instance, the
 | ||
| <a class="reference internal" href="../reference/datamodel.html#function.__name__" title="function.__name__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">__name__</span></code></a> and <a class="reference internal" href="../reference/datamodel.html#function.__doc__" title="function.__doc__"><code class="xref py py-attr docutils literal notranslate"><span class="pre">function.__doc__</span></code></a> attributes
 | ||
| are not created automatically.  Also, <a class="reference internal" href="#functools.partial" title="functools.partial"><code class="xref py py-class docutils literal notranslate"><span class="pre">partial</span></code></a> objects defined in
 | ||
| classes behave like static methods and do not transform into bound methods
 | ||
| during instance attribute look-up.</p>
 | ||
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 | ||
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